Sunday, 21 August 2016

improper integrals - Show that intinftyinftyfracx2dx(x2+1)2(x2+2x+2)=frac7pi50

Show that



x2dx(x2+1)2(x2+2x+2)=7π50



So I figured since it's an improper integral I should change the limits




limm10m1x2dx(x2+1)2(x2+2x+2)+limm2m20x2dx(x2+1)2(x2+2x+2)



I'm however not sure how to evaluate this. Any help would be great - thanks.

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