Recent content by genjix

I just did, but my post isn't showing up? I try to click back in my browser and submit it, but it is saying I've made a duplicate post strangely. I found someone on #math in Freenode who told me that the Re(integral f(x)) = integral Re(f(x)) which is the missing puzzle piece I needed to work...

Well I went onto #math on Freenode and someone gave me the missing puzzle piece. Basically that Re(integral f(x)) = integral Re(f(x)). With that in hand, everything is obvious: Take the real part of e^2x e^4ix Re(e^2x e^4ix) = e^2x (cos 4x + i sin 4x) ... from de moivre and because the...

How can I use complex numbers to evaluate an integral? For instance I'm reading a book on complex numbers and it says that to evaluate the integral from 0 to pi { e^2x cos 4x dx }, I must take the real part of the integral from 0 to pi { e^((2 + 4i)x) dx}. It totally skips how you do that. I...