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

I have to integrate using the following integration methods:

1) u-sub

2) by parts

3) trig

4) partial fraction

2. Relevant equations

[tex]\int[/tex]x(arctanx)^{2}

3. The attempt at a solution

According to me, the method I should use is integration by parts.

When I tried it, the whole thing got worse...

u = arctanx^{2}

du = 2arctanx/1+x^{2}

dv = xdx

v = 1/2x^{2}

[tex]\int[/tex]x(arctanx)^{2}= 1/2x^{2}(arctanx)^{2}- [tex]\int[/tex]x^{2}arctanx/1+x_{2}

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# Homework Help: Integration of x(arctanx)^2

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