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

I should find this integral:

[tex]\int[/tex]^{b}x(1/[tex]\Pi[/tex])(1/(1+x^{2})dx

^{-b}

2. Relevant equations

[tex]\int[/tex]1/(1+x^{2})dx = arctan(x)

3. The attempt at a solution

The Only thing I've succeeded in doing is to take the 1/[tex]\Pi[/tex] and put it in front of the integral like this:

(1/[tex]\Pi[/tex])[tex]\int[/tex]^{b}(x/(1+x^{2})dx

^{-b}

And I know that the integral of 1/(1+x^{2}) equals arctan(x) but how could that help me? Ive tried to use the equation

[tex]\int[/tex]f(x)g(x)dx = F(x)g(x) - [tex]\int[/tex]F(x)g'(x)dx

but I can't compute the integral of arctan(x).

Could someone help me?

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# Homework Help: A tricky integral

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