Question
Evaluate :
$\int_{\frac{1}{\sqrt{2}}}^1 \frac{\left(e^{\cos ^{-1} x}\right)\left(\sin ^{-1} x\right)}{\sqrt{1-x^2}} \cdot d x$
$\int_{\frac{1}{\sqrt{2}}}^1 \frac{\left(e^{\cos ^{-1} x}\right)\left(\sin ^{-1} x\right)}{\sqrt{1-x^2}} \cdot d x$
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$f(x)=2 x-x^2, x \in[0,1]$