How does integrating arcsin(w) give sqrt(1-w²) + C?

[3ephemeralwnd]

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]

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]

thank you!