# Integrating Combinations for AS & A-Level Maths

When you have to integrate something more complicated than a simple expression for A-level maths, the chances are you’ll need to use one of the rules in this table, which shows you how to deal with a function when it has a linear argument, two terms added to or subtracted from each other, and the formula for integration by parts. In this table, a capital letter means “the integral of the lower-case letter” – so *F* is the integral of *f*, *U* is the integral of *u*, and *V* is the integral of *v*.

You also need to know about calculating a volume of revolution: Rotating the curve *y*=*f*(*x*) around the *x*-axis between limits of *a* and *b* gives you a volume of