.I'm getting stuck while I'm trying to solve a integral.
What I've got so far:
Since the integer is even I get:
Using the complex plane. More precise, the area of a half circle in the upper part. of the plane.
So now I calculate the roots of the divisor.
This is where I get stuck. I can find out how many of the roots lies in the upper part of the complex plane.
As many as their imaginary part is positive:
So, ...and we get an easy inequality.
Argument-variance to find roots.
= the arch going from +R to -R on the real axis.
is -R to +R on the real axis.
: No roots on the real axis.
: R is chosen big enough to include any roots in the half circle. Along the rim?
- Wich means that there are roots in my area.
This is about it, I don't know how to get further on this one. If anyone could wave their magic wand over it. That would really make my weekend.