Since definite integrals are the net area between a curve and the x-axis, we can sometimes use geometric area formulas to find definite integrals. See how it's done.

Learn integral calculus—indefinite integrals, Riemann sums, definite integrals, application problems, and more.

Definite and indefinite integrals are connected by the Fundamental Theorem of Calculus. It says that to calculate a definite integral (the area between two bounds), you have to find the …

Definite integrals represent the area under the curve of a function and above the 𝘹-axis. Learn about the notation we use to write them and see some introductory examples.

By integrating the difference of two functions, you can find the area between them.

Performing u -substitution with definite integrals is very similar to how it's done with indefinite integrals, but with an added step: accounting for the limits of integration.

Riemann sums help us approximate definite integrals, but they also help us formally define definite integrals. Learn how this is achieved and how we can move between the …

We can approximate integrals using Riemann sums, and we define definite integrals using limits of Riemann sums. The fundamental theorem of calculus ties integrals and derivatives together …

This video shows how to find the overlapping area between two circles using definite integrals and a graphing calculator. It demonstrates entering the integral function, specifying the variable, …

You may learn the full details of Fubini's Theorem in an analysis course, but as an introduction to double integrals, you really needn't worry about it. For most, if not all, the function you deal …