Monday 22 July 2013

calculus - Evaluating $int xsin^{-1}x dx$

I was integrating $$\int x\sin^{-1}x dx.$$
After applying integration by parts and some rearrangement I got stuck at $$\int \sqrt{1-x^2}dx.$$
Now I have two questions:





  1. Please, suggest any further approach from where I have stuck;


  2. Please, provide an alternative way to solve the original question.






Please help!!!

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