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BaxterCorner
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Homework Statement
Evaluate the integral: ∫(0 to ∞) [dv/((1+v^2)(1+tan^-1(v))]
Homework Equations
U-substitution, taking limit to evaluate improper integrals
The Attempt at a Solution
http://imgur.com/CjkRF
As you can see in the image, I try u-substitution and then take the integral. I end up with ln(0), though, because arctan(0) = 0. The correct answer is ln(1 + ∏/2), but I'm not sure how to get there.
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