# Integration with i.

by cragar
Tags: integration
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 P: 2,464 i was trying to integrate $\frac{1}{(t^2+1)^2}$ By factoring it into $\frac{1}{(t+i)^2(t-i)^2}$ and then doing partial fractions. then integrating each term using a u substitution. Ok but then how do I get the real part out of this solution. I know the arctan(t) can be extracted out of stuff of this form.
 HW Helper P: 2,263 use $$\arctan(x)=\tfrac{1}{2}\imath \, (\log(1-\imath\, x)-\log(1+\imath\, x))$$

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