Previous page : One function is in the form x to the power of n and the other can be integrated at least n times

Next page : We have only one function, but one we can differentiate

The important thing here is that the taking the integral (or the derivative) of a sin or cos function will, except possibly for a constant factor be the same as the original function, but with the opposite sign.

So in those cases we can integrate by parts twice and then reorganise it to get the solution.

Example:

So

or

Up a level : IntegralsPrevious page : One function is in the form x to the power of n and the other can be integrated at least n times

Next page : We have only one function, but one we can differentiateLast modified: