Definite integrals are all about the accumulation of quantities. Let's see how they are applied in order to solve various kinds of problems.

Learn AP®︎ Calculus AB—everything you need to know about limits, derivatives, and integrals to pass the AP® test.

The definite integral is an important tool in calculus. It calculates the area under a curve, or the accumulation of a quantity over time. Riemann sums allow us to approximate integrals, while …

Practice finding indefinite integrals using the method of integration by parts.

Learn AP®︎ Calculus BC—everything from AP®︎ Calculus AB plus a few extra goodies, such as Taylor series, to prepare you for the AP®︎ test.

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, …

Integration by parts does not, and cannot, give an incorrect answer (unless you make a mistake). We can prove that the integration by parts formula is valid (and the proof is quite …

This video explains integration by parts, a technique for finding antiderivatives. It starts with the product rule for derivatives, then takes the antiderivative of both sides. By rearranging the …

Bring your equation-solving and geometry skills to integration as you look at some ways that you can solve for area and volume. You'll be a whiz when it comes to two- and three-dimensional …

AP®︎/College Calculus AB 10 units · 164 skills Unit 1 Limits and continuity Unit 2 Differentiation: definition and basic derivative rules Unit 3 Differentiation: composite, implicit, and inverse …