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Integration with i.by cragar
Tags: integration 
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#1
Apr714, 11:23 PM

P: 2,466

i was trying to integrate [itex] \frac{1}{(t^2+1)^2} [/itex]
By factoring it into [itex] \frac{1}{(t+i)^2(ti)^2} [/itex] 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. 


#2
Apr814, 12:17 AM

HW Helper
P: 2,264

use
$$\arctan(x)=\tfrac{1}{2}\imath \, (\log(1\imath\, x)\log(1+\imath\, x))$$ 


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