Integration is often introduced as the reverse process to differentiation, and has wide applications, for example in finding areas under curves and volumes of solids. This section explains what is meant by integration and provides many standard integration techniques.

Integration as the reverse of differentiation

Integration can be seen as differentiation in reverse; that is we start with a given function f(x), and ask which functions, F(x), would have f(x) as their derivative. The result is called an indefinite integral. A definite integral can be obtained by substituting values into the indefinite integral. Video tutorial 34 mins.