Learn integral calculus with Khan Academy, covering indefinite and definite integrals, Riemann sums, and practical applications.

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

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 …

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

Aprende cálculo integral con lecciones sobre integrales indefinidas, sumas de Riemann, integrales definidas y problemas de aplicación en Khan Academy.

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.

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.

When using integration by parts, you’ll want to choose u to be whatever comes first in that acronym (and the other function will become dv). This helps you pick which function is easier …

Analyzing problems involving definite integrals Get 3 of 4 questions to level up!

Improper integrals are definite integrals where one or both of the boundaries is at infinity, or where the integrand has a vertical asymptote in the interval of integration. As crazy as it may sound, …