[tex]\int[/tex]x*arctg(1/x)dx(adsbygoogle = window.adsbygoogle || []).push({});

i have such problems integrating arc functions, dont know why, but they never turn out right,,

by using

[tex]\int[/tex]udv=uv-[tex]\int[/tex]vdu

u=x

du=dx

dv=arctg(1/x)

v=[1/(1+(1/x)^{2})]*ln|x|

=[x^{2}/1+x^{2}]ln|x|

[tex]\int[/tex]x*arctg(1/x)dx=x*arctg(1/x)-[tex]\int[/tex](x^{3}ln|x|)/(x^{2}+1)dx

now.......

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# Homework Help: Integrate in parts

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