# Online definite integrals calculator

Definite integral of some function f(x) is called the limit of integral sums:

Definite integral represents the area between the given function f(x), x - axis, and the straight lines x=a, x=b which are the limits of integration.

To evaluate definite integral one should calculate corresponding indefinite integral and then use Newton-Leibniz integration formula:

This formula can only be applied if integrand is continuous at integration interval. So, before start definite integral evaluation, one need to find integrand definition domain. If integrand has some discontinuity points at integration interval, the latter must be splited into intervals where integrand continuous. Then you'd calculate corresponding indefinite integrals on every interval and use Newton-Leibniz formula, to take limits at points where function has discontinuity.

## Choose expression input type:

Expression input type:

## Choose integration variable and limits:

Integration variable

Lower integration bound: .

Upper integration bound: .