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 …

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 …

Nov 14, 2025 · 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 …

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

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 …

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 …

This page covers how to find indefinite integrals involving trigonometric functions like sine, cosine, tangent, and more. You’ll find a mix of guided notes and fully worked-out examples that show …

Master integration of trigonometric functions with stepwise formulas, solved questions, and shortcuts. Quick revision notes and practice for exams.

Typical Cases Now, we'll investigate typical cases of trigonometric integrations. Case 1: Suppose our integration is of the form ∫ cos ⁡ m x cos ⁡ n x d x or ∫ sin ⁡ m x sin ⁡ n x d x or ∫ sin ⁡ …

In order to integrate powers of cosine, we would need an extra sin x factor. Similarly, a power of sine would require an extra cos x factor. Thus, here we can separate one cosine factor and …