Substitution in the Definite Integral Suppose we want to evaluate the definite integral, tan a sec a dæ using the substitution, u = tan(x). Part 1. Re-write the definite integral in terms of the variable u and remember to use the limits of integration for the function u = f(x). Then, input the antiderivative of the integrand and the limits of integration you found. Part 2. Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above. L'tan z we a de -O

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.5: Properties Of Logarithms
Problem 106E
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Substitution in the Definite Integral
Suppose we want to evaluate the definite integral,
tan a sec a da using the substitution, u = tan(x).
Part 1.
Re-write the definite integral in terms of the variable u and remember to use the limits of integration for the function u = f(x). Then, input the antiderivative of the integrand and the
limits of integration you found.
Part 2.
Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above.
tan z sec x dx =
Transcribed Image Text:Substitution in the Definite Integral Suppose we want to evaluate the definite integral, tan a sec a da using the substitution, u = tan(x). Part 1. Re-write the definite integral in terms of the variable u and remember to use the limits of integration for the function u = f(x). Then, input the antiderivative of the integrand and the limits of integration you found. Part 2. Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above. tan z sec x dx =
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