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Question
Evaluate : `int e^x[(sqrt(1-x^2)sin^-1x+1)/(sqrt(1-x^2))]dx`
Solution
`int e^x[(sqrt(1-x^2)sin^-1x+1)/(sqrt(1-x^2))]dx`
`=int e^x[sin^-1x +1/ (sqrt(1-x^2))]dx`
We know that `inte^x[f(x)+f'(x)]dx=e^x.f(x)+c`
`=e^x.sin^-1x+c`
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