Recent content by runforest

Nevermind actually it is really easy. Just take a rectangle contour with one of the sides along the real line and a height of 2*Pi*i. Stretch the rectangle from -infinity to infinity on the real line and take the contour integral.

this question doesn't seem tough but i can't find anything like it. \int\frac{e^{ax}}{1+e^{x}}dx along the real line (a is between 1 and 0). I know this is a complex analysis question, so i took the complex integral (along a semicircle where the diameter is the real numbers). by residue...

yea sorry. I figured it out. I did not have to inverse it. I also don't know how to delete a post. :(

Homework Statement I had to solve an IVP using laplace transforms. the answer should be the laplace inverse of: (1-2e^(-s/2)+2e^(-s)+se^(-s))/((s^2)(1-e^(-s))(s^2+10s+14)) Homework Equations The Attempt at a Solution i tried partial frac. decomp. and failed miserably. I also...