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does anyone remember how to compute the integral from 0 to +infinity of sin(at)/(1+t^2), with a>0? Thanks

 Aug 21, 2016
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Use integration by parts. Your two functions are sin(at)  and 1/(1+t^2)

Integral of 1/(1+t^2) = arc tan t.

 

you will get  Integral = sin(at).arctan (t) - Integral (  1/(1+t^2).a cos(at) ) dt    ....keep going...

 

sure u can complete this.......

 Aug 21, 2016

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