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rhd92781 (686)

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if [ ][ ] (sin-1x)2dx = x3{Q(logx)2 - Rlogx +L} +c,
then Q=?, R=?, L=?

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iitkgp_bipin (6144)

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If we apply by parts we get :

(sin-1x)2.dx =  x.(sin-1x)2 + 2(1-x2).sin-1x - 2x + c

But the expression given on RHS doesn't matches the above expression.

So differentiate both sides and then put three different values of x so as to obtain three different equations in three variables  (Q,R,L) and solve them to find Q,R,L. Its simple but lengthy.

Bipin Kumar Dubey
Chemical Dept.
IIT Kharagpur

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