Mr. Edwards deals with multiple integrals, gamma functions, Dirichlet integrals, definite integrals in general, contour integration, elliptic functions, the calculus of variations, Fourier series ...

In other words you add one to the power, divide by the new power and also by the derivative of what's inside the bracket. Don't forget to add the constant of integration.

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}{ ...