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Question

If I=x22(x4+5x2+4)tan1(x2+2x)dx=A368log|tan1(x+2/x)|+C then A equals.

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Solution

Let I=x2+2(x4+5x2+4)tan1(x2+2x)dx
Substitute tan1(x2+2x)=tx2+2(x4+5x2+4)dx=dt
I=1tdt=logt+c=log(tan1(x2+2x))+c
Therefore, A=368

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