For 8 weeks, I struggled with these and you just made everything make sense in 7 minutes!!! Thank you so much, you are a lifesaver!!!!
@ColesWorldofMathematics
2 жыл бұрын
Glad it helped!
@aryansingh3642
Жыл бұрын
2 years back saw ur same video. Just here to thank u as i still haven't forgot what u taught.
@ColesWorldofMathematics
Жыл бұрын
Welcome back! That’s awesome that you haven’t forgot! Thanks for sharing!
@TubeYou5046s
7 жыл бұрын
A good way to remember the integral of sinu = -cosu + c is just remember the list: Sin Cos -Sin -Cos Then integration is up the list, and differentiation is down the list, and the list loops. Kinda hard to explain, but for example, the differential of sin is cos, and the differential of cos is -Sin. Then the differential of -Sin is -Cos, and the differential of that is Sin again, and so on. Then integration is the same, but reversed 'up' the list.
@ColesWorldofMathematics
7 жыл бұрын
That's awesome!!!!
@akinwole
5 жыл бұрын
TutorialsNshiz God bless you... thank you so much... you just saved me from making common mistakes... I won't mind if we become friends +2348104795824
@fathimaashara6517
5 жыл бұрын
I was looking for this. It helped me a lot.
@Ni999
5 жыл бұрын
Very good. Consider writing them on the x-y axis labels, cos is x, sin is y, positive and negative go exactly where you expect. Differentiate clockwise, integrate counterclockwise.
@ColesWorldofMathematics
5 жыл бұрын
Very nice!👍🏻
@manishkota4145
3 жыл бұрын
Who else is here the night before the test? Lets be real now
@marlonarancibia3247
4 ай бұрын
Morning before
@Oldaccount-i5u
4 ай бұрын
before 3 hours
@mr.tuttles8288
3 ай бұрын
Morning before final
@davispangle9688
3 ай бұрын
30 minutes before AP test
@Void_zxiv
26 күн бұрын
3hours before my term exam😂
@jonathoncliffbailey
8 жыл бұрын
Calculus midterm tomorrow on integration by parts, trigonometric integrals, trigonometric substitution, integration of rational functions by partial functions, and improper integration. D: If it wasn't for videos like this then the master of procrastination would not be able to achieve such a feat. Great video. Instantly memorized! Now on to the hard stuff. :D
@ColesWorldofMathematics
8 жыл бұрын
Loved your comment!!!!! Good luck tomorrow!
@FloraSora
7 жыл бұрын
JonBaileyMusic Thanks for the list! I have a test on all of that this Thursday! (It's Sunday Evening)
@dvaVivy
5 жыл бұрын
How’d you end up in the midterm without memorizing the formulas on the other tests(assumption).
@sameerroshan9542
5 жыл бұрын
I have the exact same midterm with couple more sections this monday!
@ColesWorldofMathematics
5 жыл бұрын
Good luck!👍🏻
@KIKOMOON
4 жыл бұрын
what a life saver!!! this was so clear and straight forward to help memorize a concept that makes no sense to most students. Once you understand the pattern, it literally takes 30 seconds. Whoever complained about the video length being 7min clearly don’t have the patience to understand and learn a tool that might help them pass
@ColesWorldofMathematics
4 жыл бұрын
Thanks for watching! 👍🏻👍🏻👍🏻 Please share with your friends!
@laurencockerspaniel4963
6 жыл бұрын
I was completely hopeless about memorizing these and you made it so easy! My teacher didn't so anything like this to help us, not even separating them into those helpful groups for us! Youre a lifesaver!!!!
@ColesWorldofMathematics
6 жыл бұрын
So glad this method was helpful for you! Thanks for watching.
@Malaikas_creation1214
4 ай бұрын
It'a Malaika here from Pakistan....i saw many videos on integration but never solved my porblem..Thankyou so much ma'am u made it very easy to memorize me these formulas..amazing work..May God bless you with good health...plz pray for me..on 2nd March there is my Maths exam
@ColesWorldofMathematics
3 ай бұрын
Glad to hear that. Best of luck to you.
@SalAlhammadi
6 жыл бұрын
The world need more teachers like you, your explanation are incredibly clear and straight to the point. Thank you from the bottom of my heart
@ColesWorldofMathematics
6 жыл бұрын
Thank you so much! So glad my videos are helpful!
@Mike-ks6qu
5 жыл бұрын
The only thing holding me back in calc 1 and 2 was this. Wow this helps so much. It's all fun and games on your exam until you see trig functions...
@ColesWorldofMathematics
5 жыл бұрын
lol.....glad this helped! Trig functions seem to be a nightmare for a lot of people!
@patrickmayer9218
2 жыл бұрын
Thank you for making sense of this madness! I'm glad people like you have found ways to make this easy to understand!
@ColesWorldofMathematics
2 жыл бұрын
Glad to help!
@Bukaloom
6 жыл бұрын
Thank you so much, Cole. I'm taking Calculus II at CCNY and this helps tremendously.
@ColesWorldofMathematics
6 жыл бұрын
So very glad the video was helpful! Good luck with your course! Thanks for watching.
@abder4980
10 ай бұрын
this is so crazy im here 5 years later, studying for Calculus II at CCNY
@success9271
9 ай бұрын
@@abder4980 Calc at CCNY is no joke. If you're already on a video like this, you're doing something right, so I am confident you will do great. I wish you the best. Godspeed trooper.
@erichcurtis79
8 жыл бұрын
you just saved a CAL 2 course
@ColesWorldofMathematics
8 жыл бұрын
Glad to hear it!
@Padthai_Shrimp
3 жыл бұрын
Someone please many copies of these videos, they must be preserved!!!!
@connor4531
7 жыл бұрын
The way I remember the anti-derivatives and derivatives of sin or cos is through a level system. If you imagine integration as going up a level and differentiation as going down a level then you just need to remember this: -c s c -s where for derivatives -cosx derives to sinx, sinx derives to cosx, cosx derives to -sinx and then it loops to -sinx derives to -cosx and vice versa for integrals. This is what I was taught by my maths teacher and it helped me out a lot, it's second nature now. When drawing the four letters I say in my head "C, S, C, S - Negatives at the ends"
@ColesWorldofMathematics
7 жыл бұрын
Thanks! I have had one other person tell me the same trick. It's definitely a good way to remember the derivatives and integrals for sin and cos.
@mikemendrala1781
5 ай бұрын
I don’t understand why this isn’t the way it is taught. Thanks so much 🙏
@ColesWorldofMathematics
4 ай бұрын
Thanks.
@jackbalitok3910
8 жыл бұрын
I'm amazed, every lazy student should watch this :) Thank you ma'am.
@ColesWorldofMathematics
8 жыл бұрын
You're welcome! Anything to make it easier!
@catchingchair
4 ай бұрын
I have a Calc Exam Tomorrow and this saved me. Thank you so much!
@ColesWorldofMathematics
3 ай бұрын
Best of luck!
@u2s5thmember
7 жыл бұрын
Amazing! "PSST" shows up in any page of my trig derivative calculations and now it will make integrating them a breeze too. You are truly amazing. Thanks so much for seeing this trend (or at least posting it)!
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! So glad it was helpful for you! Please share with your friends.
@andreyshor1743
6 жыл бұрын
YOU ARE LITERALLY AMAZING! YOU SAVED ME ABOUT 3 HRS OF SLEEP! THANK YOU SO MUCH :)))))
@ColesWorldofMathematics
6 жыл бұрын
Thanks! So glad the video helped you out. Thanks for watching.
@skeletonclip
4 ай бұрын
just got a math's exam next week and this saved my life, very helpful by the way.
@ColesWorldofMathematics
4 ай бұрын
Great to hear!
@TamTran-uo6fz
2 жыл бұрын
Bless your soul, for making a concept so understandable in 7 minutes. I am very grateful for your content.
@ColesWorldofMathematics
2 жыл бұрын
So glad the videos are helpful for you!
@Rimedane
Жыл бұрын
A trick for sin to cos I like to say is "The Merry-Go-Round" because it goes sin -> -cos -> -sin -> cos -> sin. Because if you go far enough into Integration, it goes right back to where it started. Similar to e^x.
@ColesWorldofMathematics
Жыл бұрын
Nice trick! Thanks for sharing.
@kaushikbarman1658
7 ай бұрын
Heartiest like I have ever dropped on any KZitem video.
@ColesWorldofMathematics
6 ай бұрын
That’s awesome! Thanks for sharing!
@redeem5
7 жыл бұрын
Thank you for this video! This was actually very helpful and I wish I would've found this information last semester because this is the easiest way I've seen to memorize these integrals.
@ColesWorldofMathematics
7 жыл бұрын
Glad it helped you!
@andrewandrew2791
6 ай бұрын
you are the GOAT, thanks a lot this helped me in calculus and calculus 2!!
@ColesWorldofMathematics
6 ай бұрын
Thanks so much! Glad it helped you out!
@kevin15664
8 жыл бұрын
I'm a Jr.level ME student taking ODE and this just saved my hide. I remember one thing in cal 2 and that is that it sucked. Hard. Thank you Prof!
@ColesWorldofMathematics
8 жыл бұрын
Glad it helped!
@Farrukhw
6 жыл бұрын
Waooo, that's so easy, never thought of that... What a way to teach... Thanks a bunch :)...
@ColesWorldofMathematics
6 жыл бұрын
You're welcome! So glad the technique was helpful for you! Thanks for watching. Please share with your friends so others can benefit too. 👍😃
@subby_tech
8 жыл бұрын
Thank you very much! This video made it much easier to memorize the integrals of the trig functions!
@ColesWorldofMathematics
8 жыл бұрын
+Subby Ramesh You're Welcome! Glad the video was able to help!
@govind8300
6 жыл бұрын
Thanks a lot.Keep Posting. I'm grateful that I found your channel.
@ColesWorldofMathematics
6 жыл бұрын
You bet! Thanks for watching.
@Akshayyy554
2 жыл бұрын
I just wanna thankyou with the bottom of my heart 🌌🙏
@sagacioussam5462
7 жыл бұрын
This is all I've ever needed, a good old integration trick that eases the burden on my low functioning brain. I feel you should upload more frequently. Thanks heaps for this one! Greetings from New Delhi!
@ColesWorldofMathematics
7 жыл бұрын
Thanks! I wish I could upload more frequently. I teach full time at my local high school and part time at a nearby university, so my free time to make videos is limited. Starting in January, I will try to do at least 1 new video a week.
@lukefranzen6670
Жыл бұрын
That table at the top left is so useful thank you
@ColesWorldofMathematics
Жыл бұрын
You’re welcome 😊
@omarpalacios9734
8 жыл бұрын
Oh my goodness!! So splendid how to memorize the Double function integrals!!!! Way to go ! Thanks a lot, you have just saved my life! :
@ColesWorldofMathematics
8 жыл бұрын
Glad it helped you!
@user-wy9cl1kf2f
4 ай бұрын
Keep up the great vids! This really helped me, when i studied the sunday before the exams😅
@ColesWorldofMathematics
4 ай бұрын
Glad I could help!
@ducksoop.x
7 жыл бұрын
Calc I was such a breeze, I'm taking Calc II right now and it sure has been exponentially more difficult. But this is a lifesaver right here!
@ColesWorldofMathematics
7 жыл бұрын
Great! So glad it's helpful for you! Good luck in Calc II.
@wahidajannat6376
6 жыл бұрын
Omg!!! I HAVE LEARNED EVERYTHING IN 5 mins, WHAT I HAVE BEEN TRYING TO MEMORIZE/LEARN FOR LAST TWO MONTHS!!!
@ColesWorldofMathematics
6 жыл бұрын
So glad the video was helpful for you! Please share with your friends so they can benefit too! Thanks.
@ThePiMan0903
Жыл бұрын
Thanks for your video Cole. I find your videos really helpful. Subscribed
@ColesWorldofMathematics
10 ай бұрын
I'm slow to reply.....but definitely thanks!
@sydneyelizabeth1343
7 жыл бұрын
Thank you for such helpful videos! I don't know how I could make it through Calculus without youtubers like you!
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Glad it helped! Thanks for watching!
@mavisuy9520
8 жыл бұрын
I just memorized this for just less than 10 minutes. Thank you so much!
@ColesWorldofMathematics
8 жыл бұрын
+Mavis Uy Glad it helped!
@leigh835
Жыл бұрын
About to take my final tomorrow and this method is absolutely amazing. Thank you so much!!
@ColesWorldofMathematics
Жыл бұрын
I hope you did well on your final!👍
@mylobage
5 жыл бұрын
If I could like this more I would. No lie. At least 50 more times. This is a beautiful table for memorization.
@ColesWorldofMathematics
5 жыл бұрын
Thank you so much. I can’t take credit for creating it, but explaining it well and implementing it correctly makes all the difference in the world! Thanks for watching!
@McMo64
5 жыл бұрын
Great job explaining these equations! This will definitely help me remember with all these cool tricks you have.
@ColesWorldofMathematics
5 жыл бұрын
Very glad the video was helpful for you! Thanks for watching. Please share with your friends.
@billwindsor4224
8 жыл бұрын
Excellent video on a framework for memorizing trig integrals; thank you!
@ColesWorldofMathematics
8 жыл бұрын
Thank you for the nice comments! I appreciate it!
@swaggyskye
2 жыл бұрын
omg... you're literally a life saver
@ColesWorldofMathematics
2 жыл бұрын
Thanks so much.
@tycobrahe7663
4 жыл бұрын
(Lumping together+pattern recognition): brilliant! Made it soooo easy to remember!
@Luingus
3 жыл бұрын
for the sec sec tan square you pick one and choose two for derivatives and pick two and choose one for integrals.
@Capsula_tm
7 ай бұрын
you made my life easier thank youuu!!!!!
@ColesWorldofMathematics
7 ай бұрын
Happy to help!
@shashankravi478
4 жыл бұрын
Great video.. Thanks. Feels so easy to remember such stuffs now on. Please make more of such videos. Thank you once again!!
@ColesWorldofMathematics
4 жыл бұрын
Will do! Thanks for watching!
@saira18926
6 жыл бұрын
oh my gosh you are a gift to humanity. thanks so much!
@ColesWorldofMathematics
6 жыл бұрын
Thanks! Glad you are finding the videos helpful!
@shahbaztariq2837
3 ай бұрын
Thats Brilliant! Thanks a ton ❤️
@SuperGirlygirl222
7 жыл бұрын
Thank you so much! this saves a lot of time and i can easily compute any of them right away!
@ColesWorldofMathematics
7 жыл бұрын
You are welcome! So glad it helped!
@tasfiatabassum5130
8 жыл бұрын
thank you so much, it really helped me memorize them :) i appreciate your effort
@ColesWorldofMathematics
8 жыл бұрын
Anytime! I enjoy making videos and helping people with math!
@Marcus001
6 ай бұрын
7 years on this is still saving grades
@ColesWorldofMathematics
6 ай бұрын
So true!
@pavitraravishankar2293
6 жыл бұрын
This video is just amaaaazziiinnnggg❤️❤️❤️. I can't believe I learnt it this quick😀. You are just awesome 💫.
@ColesWorldofMathematics
6 жыл бұрын
Thank you so much! Thanks for watching. Please share with your friends.
@emiraniba9624
6 жыл бұрын
THE MOST INCREDIBLE TRICK IVE EVER SEEN.
@ColesWorldofMathematics
6 жыл бұрын
Thanks! 👍🏻
@alishshrsetha1290
8 жыл бұрын
Thank you very very very much. It was very very very help full.
@ColesWorldofMathematics
8 жыл бұрын
+alish shrsetha You're welcome! Glad it helped!!!!
@a4rules2
2 жыл бұрын
YOU ATE this might save me on my calc test in 15 minutes 😍
@ColesWorldofMathematics
2 жыл бұрын
😋
@dougjenkins7311
7 жыл бұрын
THIS IS AWESOME!!!!!!!! THANK YOU SO MUCH!!!!! Please make more videos like this.
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! I will do my best to make more like this one.
@168grhp
7 жыл бұрын
Extremely helpful! Thank you for sharing!
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Thanks for watching!
@blahhhhidk
6 жыл бұрын
this is the most helpful video ive watched for calc today tysm!!
@ColesWorldofMathematics
6 жыл бұрын
So glad the video was helpful for you! Please share with your friends.
@arjundulam6354
Жыл бұрын
Great video to prep for AP Calc exam!
@ColesWorldofMathematics
Жыл бұрын
Glad it was helpful!
@maplekyle8577
6 жыл бұрын
I am glad I found this video before my test. Smart Memory! Thxxxxx
@ColesWorldofMathematics
6 жыл бұрын
Hope you did well! Check back for more helpful Calculus videos!
@nicholasbaluku1496
6 жыл бұрын
Wows , Thanks alot, You make it very simple and easy. Iam impressed and you have helped me and boosted my confidence. Please make more videos for all the other mathematics Topics.
@ColesWorldofMathematics
6 жыл бұрын
So glad the videos are helpful! Since August, I have been focusing on Calculus videos, but I can start to make more of a variety of different topics. Be sure to check out all my various playlists: kzitem.info/rock/Kl7MXLRrk6hnWuObFwKxdgplaylists?disable_polymer=1
@Debonairfox
8 жыл бұрын
Very informative and helpful. You did such a great job with this video!
@ColesWorldofMathematics
8 жыл бұрын
+Debonair Fox Thanks! Memorizing Trig Integrals can be difficult for students so knowing some tricks can be helpful!
@Debonairfox
8 жыл бұрын
Yeah definitely. If you have any other tips would love to hear them. Will be looking forward to more of your videos and perhaps even catching you in our comments sometime :)
@maharanirani54
8 ай бұрын
Thank you! This is super helpful!
@ColesWorldofMathematics
8 ай бұрын
Glad it was helpful! Thanks for watching & commenting.
@jennyl.8170
6 жыл бұрын
We love you!!! You're a genius and a saint!!
@ColesWorldofMathematics
6 жыл бұрын
Thanks!
@MunisaR
5 жыл бұрын
I have calc exam on these topics(tomorrow) ...from chapter 4~7. God save me. Your video helped me so much. I was struggling how to memorize these formulas. Thankkkk uuuuu
@ColesWorldofMathematics
5 жыл бұрын
So glad my videos have been helpful! Thanks for watching.
@johnjose6397
6 жыл бұрын
U r one hell of a genius
@ColesWorldofMathematics
6 жыл бұрын
👍
@LoVeMyWiShEs
6 жыл бұрын
youre a magician, this is amazing
@ColesWorldofMathematics
6 жыл бұрын
Thanks, greatly appreciated.
@AliRaza_s_Ai
8 ай бұрын
You just saved my today's quiz thanks a lot mam
@ColesWorldofMathematics
8 ай бұрын
Glad to hear that! Good luck!
@inderdeepk.dhanoa2788
7 жыл бұрын
Thankyou so much.. I have been Mugging up these formulae since last 2 years :D ♡
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Glad it was helpful!
@user-oj1zg6wn6i
3 ай бұрын
so glad i found this video. will gatekeep .
@ColesWorldofMathematics
3 ай бұрын
Awesome! Enjoy!
@1187624
3 жыл бұрын
The greatest trick of all time!!
@ColesWorldofMathematics
3 жыл бұрын
Yep! ❤️👍🏻
@quenieromorosa5957
Жыл бұрын
This technique is helpful. Thanks a lot!
@ColesWorldofMathematics
Жыл бұрын
Glad it was helpful. Thanks for watching and commenting.
@lanasalah704
8 жыл бұрын
You are such a genius👍👍👍
@ColesWorldofMathematics
8 жыл бұрын
Thanks! :-)
@sofilovestea
7 жыл бұрын
thank you, thank you! greetings from Costa Rica
@ColesWorldofMathematics
7 жыл бұрын
You're welcome!
@ananthanarayananv8490
3 жыл бұрын
thank you very much ! It was a very helpful video to memorize these formulas.
@ColesWorldofMathematics
2 жыл бұрын
Glad it was helpful!
@MOHAMMEDSOHAILalzwjAyesha
3 жыл бұрын
Awesome sir , really very use full and decreased load on my Brian
@ColesWorldofMathematics
3 жыл бұрын
Great to hear!
@yousefchaudhary5080
7 жыл бұрын
This was incredibly helpful. Thank you!
@ColesWorldofMathematics
7 жыл бұрын
You're welcome!
@Attamatic
7 жыл бұрын
great video, great effort. May your life be filled with peace and fulfillment
@ColesWorldofMathematics
7 жыл бұрын
Thank you very much for the kind words!
@pranashaktiyog
6 жыл бұрын
Your tricks are just awesome!! 😍
@ColesWorldofMathematics
6 жыл бұрын
Thanks!
@AliHassan-hb1bn
4 жыл бұрын
I loved your lectures girl, only God can reward you
@ColesWorldofMathematics
3 жыл бұрын
Thank you so much! 🙂
@jamesd9215
7 жыл бұрын
All i ever needed. Thank you so much
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Thanks for watching!
@bafanamthembu384
7 жыл бұрын
Wow lady u just made maths easy very easy
@ColesWorldofMathematics
7 жыл бұрын
Thanks! Glad it helped!
@bmwblaise
8 жыл бұрын
The integral of tan(u)du = ln|sec(u)| +C
@ColesWorldofMathematics
8 жыл бұрын
+Blaise Baldeschwiler You are correct. The answer I gave in the video and your answer are equivalent answers. The integral of tan(u) du = - ln|cos u| + c ==> ln| (cos u)^-1 | + c ==> ln| 1/cos u | + c ==> ln|sec u| + c
@RandoShorts2001
Ай бұрын
thanks you so Much !! it made it way easier for me to understand the entire Calc 2 xd
@ColesWorldofMathematics
29 күн бұрын
Glad to hear that!
@dougjenkins7311
7 жыл бұрын
Greatly appreciated! Thank you.
@ColesWorldofMathematics
7 жыл бұрын
You're welcome! Thanks for watching. Please share with your friends.
@rajazareef7525
4 жыл бұрын
thank you for sharing this method. it helps a lot!!
@ColesWorldofMathematics
4 жыл бұрын
You’re welcome! Thanks for watching!
@phy-sink3081
7 жыл бұрын
madam you are all right but when you takes the integral of tan is not right at atol..and the integral of tan is written as.{tanu.du=ln(secu)+c
@ColesWorldofMathematics
7 жыл бұрын
You are correct. However, I am too. The answer I gave in the video and your answer are equivalent answers. The integral of tan(u) du = - ln|cos u| + c ==> ln| (cos u)^-1 | + c ==> ln| 1/cos u | + c ==> ln|sec u| + c
@user-lf2tr7nf8c
7 жыл бұрын
Thank u soooo much u r really amazing I have exam after tomorrow & that really help me so thank u ❤️❤️❤️😭
@ColesWorldofMathematics
7 жыл бұрын
You are welcome!!! Thanks for watching!
@starshipx1282
3 жыл бұрын
Immediately subscribed.
@ColesWorldofMathematics
3 жыл бұрын
Awesome! Thanks.
@joeycarlyle1949
7 жыл бұрын
THANK YOU SO MUCH! WHY CAN'T MY TEACHER TEACH US THIS WAY
@shin-ishikiri-no
6 жыл бұрын
Why is the second "double function" integral not following the guide according to the chart...? Shouldn't the answer be [cot(u) du + c] instead of [-cot(u) du + c]...? How did you magic grab that negative?
@ColesWorldofMathematics
6 жыл бұрын
The answer to the second "double function" is [-cot(u) +c] because looking at the bottom row of the chart, you have 2 csc's, a negative sign, and cot. The integral of csc^2 uses the 2 csc's, so your answer is everything that is left in the bottom row of the chart. Thus, [-cot(u)+c].
@noumanhaider4893
5 жыл бұрын
Not only liked your video patients of calculus loved it.....!
@ColesWorldofMathematics
5 жыл бұрын
Super big thank! 👍🏻😃
@laithal-kinani2249
Жыл бұрын
You, good sir, are a legend
@ColesWorldofMathematics
Жыл бұрын
Thanks!
@jordanrichardson2367
2 жыл бұрын
You saved me from having a MASSIVE headache
@ColesWorldofMathematics
2 жыл бұрын
👍👍👍
@hemanthreddie
7 жыл бұрын
Got ready for the exam tomorrow THANK YOU !!!!!!! 😊😊😊😊😊😊😊😊😊😊😊😊😊😊
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