- #1
MarkovMarakov
- 33
- 1
Homework Statement
How do I integrate [itex]\int_0^1 xJ_0(ax)J_0(bx)dx[/itex] where [itex]J_0[/itex] is the zeroth order Bessel function?
Homework Equations
See above.
Also, the zeroth order Bessel equation is [itex](xy')'+xy=0[/itex]
The Attempt at a Solution
Surely we must use the fact that [itex]J_0[/itex] is a Bessel function, since we can't integrate any old function in the given integral. But I don't know how.
Thanks for any help.