- #1
m06antwe
- 2
- 0
I have big problems solving this integration:
[tex]
\int_{-a}^{a}\sqrt{a^2-x^2}e^{i(kx-wt)}dx
[/tex]
I did an substitution with:
[tex]
x=a*sin(u)
[/tex]
Which gave me:
[tex]
\int_{-{pi}/2}^{{pi}/2}a^2cos^2(u)e^{i(kasin(u)-wt)}du
[/tex]
But i don't know if that did it any better, cause i can't figure out how to go on from there. I've been told to try the substitution:
[tex]
v=a*sin(u)
[/tex]
But without any success... Please help me somebody!
[tex]
\int_{-a}^{a}\sqrt{a^2-x^2}e^{i(kx-wt)}dx
[/tex]
I did an substitution with:
[tex]
x=a*sin(u)
[/tex]
Which gave me:
[tex]
\int_{-{pi}/2}^{{pi}/2}a^2cos^2(u)e^{i(kasin(u)-wt)}du
[/tex]
But i don't know if that did it any better, cause i can't figure out how to go on from there. I've been told to try the substitution:
[tex]
v=a*sin(u)
[/tex]
But without any success... Please help me somebody!