from the vid i learnt ur accent more than intergration
@carsonb8952
8 жыл бұрын
when you differentiate the answer you got, the answer doesn't become the original integral, try to differentiate this and you will see that it is correct..... 2tan^-1((x+1)/2) . when differentiaing we multiply everything by 1/2 using the chain rule because the composite function has an x/2....therefore we must multiply tan^-1((x+1)/2) by 2 so the 1/2 cancels off in the end. differentiate the answer you got an you will see.
@mikek.2703
8 жыл бұрын
Thank you.
@AnishPuthuraya
11 жыл бұрын
This is a misconception. Students are taught trig sub problems which involve only radicals. But, you can prove it to yourself that my answer is correct by just differentiating my final answer. You will find that it comes out to be the original problem, which proves that the answer shown is correct. In fact, you can just check out the answer in " Piskunov Diff. and Int. Calculus" : problem 102. Thank you for asking the question, I really appreciate it. Regards, Anish
@AnishPuthuraya
11 жыл бұрын
You are most welcome.
@ahmedalserhani249
11 жыл бұрын
Thanks it was helpful :)
@David-sp9vd
8 жыл бұрын
This is incorrect, I think. You replace (x-1)=tanx then you have (tan)^2+4 which does not equal your next line 4(1+tan^2). You change an addition relation to a multiplicative one and they are not equal expressions.
@TheLevidance
8 жыл бұрын
He had (2(tan(theta)))^2 so it became 4tan^2 + 4, take out 4 as a common factor and you have your next line. What I don't understand is why he just didn't use the arctan integral rule instead of doing all that messy let x+1= blah blah blah haha, so much faster than doing all of the substitutions.
@sulemanmazzar7555
7 жыл бұрын
nice, but there is a much easier way whereby u do not need to use trig identities.
@fuzrohdah
6 жыл бұрын
hey man where in this video really COMPLETED THE SQUARE ? time wasted!
Пікірлер: 12