The following is a list of integrals (antiderivative functions) of trigonometric functions. For antiderivatives involving both exponential and trigonometric functions, see List of integrals of exponential functions.

Recall the definitions of the trigonometric functions. The following indefinite integrals involve all of these well-known trigonometric functions. Some of the following trigonometry identities may be needed. It …

Dec 2, 2025 · Where dx is the derivative of x, C is the constant of integration, and ln represents the logarithm of the function inside the modulus (| |). Generally, the problems of indefinite integrals based …

In the video, we work out the antiderivatives of the four remaining trig functions. Depending upon your instructor, you may be expected to memorize these antiderivatives.

In this section we look at how to integrate a variety of products of trigonometric functions. These integrals are called trigonometric integrals. They are an important part of the integration technique …

Nov 16, 2022 · In this section we look at integrals that involve trig functions. In particular we concentrate integrating products of sines and cosines as well as products of secants and tangents.

Jan 15, 2025 · Learn definite and indefinite integrals of the basic trigonometric functions with integration formulas and examples.

reduction formulas and integral tables. This section examines some of these patterns and illustrate Integrals of functions of this type also arise in other mathematical applications, such as Fourier series.

The general idea is to use trigonometric identities to transform seemingly difficult integrals into ones that are more manageable - often the integral you take will involve some sort of u-substitution to evaluate.

Trigonometric Integrals ∫sec2 (x) dx = tan (x) ∫csc2 (x) dx = −cot (x) ∫ 1 sin2 (x) dx = −cot (x) ∫ 1 cos2 (x) dx = tan (x)