Integrating arcsinx: Solving a Challenging Calculus Problem

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Homework Statement



Intergrate arcsinx

Homework Equations





The Attempt at a Solution



I couldn't even touch this question. I saw the answer but still can not understand how to do this.
 
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Use the "same" method as for arctan x and for ln x.

arcsin x = (arcsin x) * 1

Now integrate by parts!