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Question

Evaluate
x2tan1xdx

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Solution

x2tan1dx=x33tan1x11+x2×x33dxtan1x(x33)13x31+x2dx1+x2=t2dx=dtdx=dt2xtan1(x33)13x3tdttan1(x33)16(1+x2log1+x2+c)

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