Integrate arcsinw: Explaining the Result

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can someone explain what happened after the part where it says "= warcsinw - integral of w/sqrt(1-w^2) = ... " ? i don't see how they got sqrt(1-w^2) + C
 

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3ephemeralwnd said:
can someone explain what happened after the part where it says "= warcsinw - integral of w/sqrt(1-w^2) = ... " ? i don't see how they got sqrt(1-w^2) + C
Ordinary substitution, with u = 1 - w2, and du = -2wdw.
 
thank you!
 

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