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 integrals.

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

Nov 14, 2025 · The technique of trigonometric substitution comes in very handy when evaluating integrals of certain forms. This technique uses substitution to rewrite these integrals as trigonometric …

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

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 substitution.

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

Why didn't you place x on the adjacent side of the triangle? By doing so, I used cos theta as my substitution instead; it gives me a different but correct answer. My professor says I should avoid …

There is often more than one way to solve a particular integral. A trigonometric substitution will not always be necessary, even when the types of factors seen above appear. With practice, you will gain …

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