- #1
yungman
- 5,751
- 290
Homework Statement
[tex]\int ^b_0 cos(\frac{(n-m)\pi}{b}x) dx[/tex]
[tex]\int ^b_0 cos(\frac{(n+m)\pi}{b}x) dx[/tex]
n and m are positive integers.
The Attempt at a Solution
[tex]\int ^b_0 cos(\frac{(n-m)\pi}{b}x) dx = \frac{b\;sin[(n-m)\pi]}{(n-m)\pi} [/tex]
Obviously answer is zero if n not equal to m. This is a sync function. I don't know how to derive the answer. From the graph, the answer should be b, but how do I derive it.
Also I want to verify:
[tex]\int ^b_0 cos(\frac{(n+m)\pi}{b}x) dx = \frac{sin[(n+m)\pi]}{(n+m)\pi} = \frac{b}{(n+m)\pi}[/tex]
Thanks
Last edited: