Recent content by HappyEuler2

Ok, I've got some new info to add, but I am not sure how to use it. So I figured out that the contour should have the form of a dogbone/dumbbell encircling the branch-cut from -1 to 1 counterclockwise. But I have no idea how to deal with this. I've gone over branch-cuts only once in class, so...

Homework Statement Evaluate the Integral \int dx/((a^2+x^2)*sqrt(1-x^2)) from -1 to 1 Using contour integration Homework Equations Residue theorem/Cauchy integral forumulaThe Attempt at a Solution So I know that at the end-points of the interval (abs(z) = 1) that a singularity exists, so a...

Ah, thank you. I just needed someone to write it out clearly for me. So the formal answer =2*Pi*i

Homework Statement So the problem at hand is to calculate the contour integral \oint cos(z)/z around the circle abs(z)=1.5 . Homework Equations The integral is going to follow from the Cauchy-Integral Formula and the Residue theorem. The problem I am having is figuring out what the...