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Use integration by parts to solve the two questions below.

    \[\int \frac{x\tan^{-1}{x}}{\sqrt{1+x^2}}\,\mathrm{d}x\]

    \[\int \frac{x\sin^{-1}{x}}{\sqrt{1-x^2}}\,\mathrm{d}x\]

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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