Oct 16, 2023 · In this section we will look at integrals (both indefinite and definite) that require the use of a substitutions involving trig functions and how they can be used to simplify certain …

In mathematics, a trigonometric substitution replaces a trigonometric function for another expression. In calculus, trigonometric substitutions are a technique for evaluating integrals.

Dec 21, 2020 · This section introduces Trigonometric Substitution, a method of integration that fills this gap in our integration skill. This technique works on the same principle as Substitution …

Jul 23, 2025 · Trigonometric substitution is a process in which the substitution of a trigonometric function into another expression takes place.

This calculus video tutorial provides a basic introduction into trigonometric substitution. It explains when to substitute x with sin, cos, or sec.

Trig substitution assumes that you are familiar with standard trigonometric identies, the use of differential notation, integration using u-substitution, and the integration of trigonometric functions.

The following diagram shows how to use trigonometric substitution involving sine, cosine, or tangent. Scroll down the page for more examples and solutions on the use of trigonometric …

This section contains lecture video excerpts, lecture notes, a problem solving video, and a worked example on trig substitution.

Trigonometric substitution is a way to evaluate integrals that involve square roots of quadratic expressions. By substituting a trigonometric function for the variable x, the integral can be …

DO: Consider the following integrals, and determine which of the three trig substitutions is appropriate, then do the substitution. Simplify the integrand, but do not try to evaluate it.