CHAPTER : INTEGRALS

NCERT SOLUTIONS : EXCERCISE : 7.3 : QUE 21

The que is solved in quite a lengthy way, cant it just be solved using :

cosx = sin( 90-x).. ?? Please do tell ??

Let I = sin-1cos x dx=sin-1sinπ2-x dx       as, cosπ2-θ = sin θ=π2-x dx                     as, sin-1sin θ = θ=πx2 - x22 + C

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