Note: This only works when \(x\) is measured in radians. We are now going to look at more complex trigonometric functions where we will use the general rule: \(\int {\cos (ax + b)dx = \frac{1}{a}} ...

Mathematics of Computation, Vol. 28, No. 126 (Apr., 1974), pp. 613-615 (7 pages) A new integral representation is derived for the expression $J_0(z)J_0(Z) + Y_0(z ...

Remember that integration is the inverse procedure to differentiation. So, if you can do trigonometric differentiation, you can do trig integration.

In this paper, the authors make use of the Gamma function as well as the hypergeometric and the generalized hypergeometric functions in order to investigate and develop several definite integrals ...