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.

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

Video transcript - [Voiceover] Let's say that we want to evaluate this indefinite integral right over here. And you immediately say hey, you've got the square root of four mins X squared in the …

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.

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

Trig substitution is appropriate when we have an integrand containing the sum or difference of the squares of a constant and a variable, i.e. one of the forms $x^2+a^2, a^2-x^2$, and $x^2-a^2$.

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 …

Typically trigonometric substitutions are used for problems that involve radical expressions. The table below outlines when each substitution is typically used along with their restricted intervals.

In this section, we'll continue our study of integration techniques by learning about a method called trigonometric substitution. This section will allow you to review previously-learned skills …