proving for intge of (arcsinx) .
Start with x = sin y
Differentiate. Use a trig identity to express the cos you get in terms of the original function (sine). Rewrite that replacing the sin y's with x's.
Edit: Whoops, nevermind. That will give you the deriviative of y = arcsin x, eventually. It looks like you want the integral of arcsinx, but I can't be sure. If you want help, you really should state the problem more clearly than you have.
This is posted under homework help but you have not shown what you have already tried yourself.
[tex]\int \arcsin (x) dx[/tex].
Looking at that integral, you have no idea how to begin it, then the most common thing to do is to use integrating by parts. What's u, and what's dv, you think?
Well, there's only one function and you don't know immediately how to integrate it (that's the whole problem!) so how about trying
u= arcsin(x), dv= dx?
By the way, is there a reason for posing problems about derivatives and integrals in the precalculus section?
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