(SS-233) Find the value of sum_(n=1 to ꝏ)( (-1)^(n+1) Γ(n/2))/(nΓ((n+1)/2))) #sequenceandseries #betafunction #gammafunction #integration #substitution #cipher
For the integral you can directly use Feynman technique, let I(a) =int 0 to 1 ln(1+ax) /{x sqrt(1-x^2)} dx, I'(a) = int 0 to 1 1/((1+ax) sqrt(1-x^2)) dx, take x=sint and solve the integral, and then integrate the result from 0 to 1 wrt da and it will be easy
@qwertyman123
20 күн бұрын
For my last question when I mean replace x for ix, i meant replace all instances of x to ix, its like a substitution, same as saying replace x for it for some variable t, then replacing t for x. It is just a more compact way to state that substitution. Nothing too crazy, just a shorter way to state substitution
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