krishna mohan
- 114
- 0
Hi...
I have an integral over a contour. The contour is a semicircle with vanishing radius around the origin and situated in the upper half plane.
The integrand is [tex]\frac{(lnx)^2}{1+x^2}[/tex].
The integral is supposed be zero.
I don't see how. Taking the modulus and letting the radius go to zero, I find that the denominator goes to 1 and the numerator is of the form [tex]ln(r^2)+\theta^2[/tex] with r going to zero.
Can anybody tell me what I might be missing?
I have an integral over a contour. The contour is a semicircle with vanishing radius around the origin and situated in the upper half plane.
The integrand is [tex]\frac{(lnx)^2}{1+x^2}[/tex].
The integral is supposed be zero.
I don't see how. Taking the modulus and letting the radius go to zero, I find that the denominator goes to 1 and the numerator is of the form [tex]ln(r^2)+\theta^2[/tex] with r going to zero.
Can anybody tell me what I might be missing?
