(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

integral tan^{-1}x dx

i am supposed to integrate this by parts

2. Relevant equations

3. The attempt at a solution

integral tan^{-1}x dx = integral cosx/sinx dx

u=cos x, du=-sin x dx

v=ln sin x, dv= sin^{-1}x dx

integral cosx/sinx dx= cosx ln(sinx) - integral[ ln(sinx)(-sinx) dx]

is this correct so far?

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# Integrate by parts

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