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

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 …

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 …

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.

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I'll go over the computation of a surface integral with an example in just a bit, but first, I think it's important for you to have a good grasp on what exactly a surface integral does.

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, …

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, …

Practice Integration using trigonometric identities Get 3 of 4 questions to level up!