# Integration

In this lesson, we will learn about definite and indefinite integrals of single and multiple integrations.

## We'll cover the following

Integration is one of the two main operations of calculus, with its inverse operation, differentiation, being the other. Given a function $f$ of a real variable $x$ and an interval $[a, b]$ of the real line, the definite integral is denoted as:

$\int_{a}^{b} f(x) \space dx$

Integrals are calculated with the `integrate()`

function. SymPy implements a combination of the Risch algorithm and an algorithm for computing integrals based on Meijer G-functions. These allow SymPy to compute a wide variety of indefinite and definite integrals.

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