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

Practice Functions defined by definite integrals (accumulation functions) Get 3 of 4 questions to level up!

The basic idea of Integral calculus is finding the area under a curve. To find it exactly, we can divide the area into infinite rectangles of infinitely small width and sum their areas—calculus is …

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 …

Functions defined by definite integrals (accumulation functions) Finding derivative with fundamental theorem of calculus Finding derivative with fundamental theorem of calculus: …

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.

Would you like to be able to determine precisely how fast Usain Bolt is accelerating exactly 2 seconds after the starting gun? Differential calculus deals with the study of the rates at which …

For calculating definite integrals, you can use a graph, but you can also use the second part of the fundamental theorem of calculus. For indefinite integrals, the simple rules are enough for now, …

Aprende cálculo integral: Integrales indefinidas, sumas de Riemann, integrales definidas, problemas de aplicación y mucho más.

Functions defined by definite integrals (accumulation functions) Finding derivative with fundamental theorem of calculus Finding derivative with fundamental theorem of calculus: …