AP® Calculus AB & BC

Understanding integrals is a central part of advanced calculus. In many problems, the interval of integration might be finite, and the function itself remains well-behaved.

Integration by partial fractions is a method used in AP® Calculus AB-BC to handle integrals of complex rational functions. It splits a fraction into simpler

Integration by parts is a powerful technique that helps in finding antiderivatives of more complex functions. It appears often in AP® Calculus AB-BC and is

Integration using completing the square is a valuable technique for tackling hard integrals. In advanced calculus courses, students often face integrals that cannot be solved

U-substitution is a powerful technique used to simplify integrals, which often appear in AP® Calculus AB-BC questions. It is especially useful when facing complicated expressions.

Antiderivatives are a central topic in calculus. They help describe functions whose derivatives are known. This feature makes them essential for solving many problems in

The Fundamental Theorem of Calculus is central to understanding how differentiation and integration are connected. It has two main parts: Part 1 links the derivative

The main goal here is to explain why this theorem is significant. It shows a deep link: integrals used to find area, displacement, or other

Riemann sums are used to estimate the area under a curve by adding small, rectangular slices. These sums serve as the foundation for integrals. Understanding