Integrate: sin^-1 (cos x) ; x belong to [0,pi]

Answers (1)

Solution:  We have ,   xin [0,pi]

           I=int sin^-1(cos x)dx\ \ Rightarrow hspace1cmI=int sin^-1(sin (fracpi2-x))dx\ \ Rightarrow hspace1cmI=int (fracpi2-x)dx \ \ Rightarrow hspace1cmI=fracpi2x-fracx^22+c

           

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