Recent content by shubox

Ah I forgot the quantity squared. But after doing that I got the same thing: 1/2(cos(2θ)+1) Taking the integral of this from ∏/2 to -∏/2 results in ∏/2 which is the answer in the back of the book. sweeet, makes sense now. thanks alot.

Oh I see now. Subsituting in dx cancels out sec2(θ) which then results in θ. Replacing θ with x gives arc tangent and then solving the integral from -∞ to ∞ results in ∏. Thanks for helping

Homework Statement ∫(dx/((1+x^2)^2) from 0 to ∞ Determine whether the improper integral converges and if so, evaluate it.Homework Equations 1+ tan^2(x) = sec^2(x) 1/sec(x) = cos(x) The Attempt at a Solution Initially I had no idea how to approach this problem. The answer in the back of the...