I need to prove that the integral of k/(sin x*sqrt(sin^2x-k^2) dx= arccos(k/sqrt(1-k^2)*(cot x)) and it says to set u= c*cot x

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- Apr 16th 2013, 06:03 PMsean60630Calculus help
I need to prove that the integral of k/(sin x*sqrt(sin^2x-k^2) dx= arccos(k/sqrt(1-k^2)*(cot x)) and it says to set u= c*cot x

- Apr 16th 2013, 06:12 PMchiroRe: Calculus help
Hey sean60630.

Hint: Try getting the sin^2x term out of the square root sign and then look for a cot(x) term.