As you suggested I wrote sin as an imaginary part of a exponential and take the imaginary part of the integral in the end and got the right answer. But anyway , without changing sin to exp, I couldn't do it. In fact I did and it came out --> 0. Thanks for help, but still I am still wondering if...
I have tried that ,( semi circular contour) Actually what I found is the following:
There are 2 poles on the real axis, on the contour, (1/2, -1/2) and they do not contribute to the residue.
And integral on the semi circular part goes to 0.
with the substitution of
z= r e^(iθ) as r...
Homework Statement
∫cos(pi*x)/(1-4x^2) dx from -inf to +infI need to solve this by contour integration but I couldn't find the appropriate contour to use.
Any contour suggestions?
Thanks
why work is defined? and when it was defined ( approximately) and who has defined it? It is one of the most important things in physics and I am wondering that is it defined only for make the seeing and understanding things in the nature easier?
Actually I am also wondering about when and...