(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

problem: [itex]\int[/itex]2arctanx dx

2[itex]\int[/itex]arctan dx

u=arctanx

du=1/(1+x^{2})

v=x

dv=dx

xarctanx-[itex]\int[/itex]x/(1+x^{2})

integrate by parts a second time...

u=x

du=dx

v=arctanx

dv=1/1+x^{2}

xarctanx-[itex]\int[/itex]arctanx

My final answer I get it 2xarctanx-2xarctanx+2/x^{2}+1 which is obviously wrong. Thanks.

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# Basic Integration by parts

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