Integrate arcsinw: Explaining the Result

3ephemeralwnd · Nov 28, 2010

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

Mark44 · Nov 28, 2010

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.

3ephemeralwnd · Nov 28, 2010

thank you!

Integrate arcsinw: Explaining the Result

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Integrate arcsinw: Explaining the Result

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