Question

# Evaluate: ( int cos ^{-1}(sin x) d x )

Solution

( int cos ^{-1}(sin x) d x=intleft(frac{pi}{2}-sin ^{-1}(sin x)right) d x )

( =intleft(frac{pi}{2}-xright) d x=frac{pi}{2} x-x^{2}+c )