Video 1 below shows a short lesson as well as three examples of different types. Then we can evaluate the integral with respect to and use the same dictionary to translate back from -language to -language:Įxamples of indefinite integration using substitution We can compute f (x) using the Chain Rule. We use these two equations relating and as our dictionary to translate our integral from -language to -language: Using Substitution with Integrals of Trigonometric Functions Integrals Involving Logarithmic Functions and involving Exponential Function Key Concepts Key Equations Contributors We motivate this section with an example. We differentiate both sides of the equation to see that. ![]() This tells us that setting might be a good choice. We notice that is the “inside” function of a composition and appears as a factor of the integrand. ![]() Consider the indefinite integral (this should look familiar from the warmup exercise, so we already know what we want the answer to be).
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