Any help on this definite integral ?

**quique** · November 21st 2012, 07:45 AM

Any ideas on how to tackle this integral ?

$\int_{-1}^{1} dt \cos(a t) \cos (b \sqrt{1-t^{2}})$

I know that the 'sine' version can be solved in terms of a Bessel function (Gradstein 3.711):

$\int_{-1}^{1} dt \cos(b t) \sin (a \sqrt{1-t^{2}}) = -\pi \frac{\partial}{\partial a} J_{0}(\sqrt{a^2 + b^2})$

**chiro** · November 21st 2012, 09:17 PM

Hey quique.

Have you seen this identities before? They might help.

List of trigonometric identities - Wikipedia, the free encyclopedia

Thread: Any help on this definite integral ?

LinkBack

Thread Tools

Display

Any help on this definite integral ?

Re: Any help on this definite integral ?

Similar Math Help Forum Discussions

[SOLVED] Definite Integrals - Same Problem, 1st use Definite Integral, then FTC.

definite integral #5

Finding a definite integral from other given definite integrals.

Definite Integral

definite integral/ limit of integral

Search Tags