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Substitution in the Definite Integral S Suppose we want to evaluate the definite integral, H -6 (9z+6)² Part 1. Re-write the definite integral in terms of the variable u and remember to use the limits f integration for the function u = f(x). Then, input the antiderivative of the integrand and the limits of integration you found. P = de using the substitution, u = 9x + 6. Part 2. Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above. -6 S - dr (9x + 6)²

Substitution in the Definite Integral S Suppose we want to evaluate the definite integral, H -6 (9z+6)² Part 1. Re-write the definite integral in terms of the variable u and remember to use the limits f integration for the function u = f(x). Then, input the antiderivative of the integrand and the limits of integration you found. P = de using the substitution, u = 9x + 6. Part 2. Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above. -6 S - dr (9x + 6)²

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.4: The Fundamental Theorem Of Calculus
Problem 72E
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Substitution in the Definite Integral Suppose we want to evaluate the definite integral, S Part 1. Re-write the definite integral terms of the variable 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. -6 -6 (9x+6)² Part 2. Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above. (9x+6)² de using the substitution, u = 9x + 6. da
Transcribed Image Text:Substitution in the Definite Integral Suppose we want to evaluate the definite integral, S Part 1. Re-write the definite integral terms of the variable 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. -6 -6 (9x+6)² Part 2. Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above. (9x+6)² de using the substitution, u = 9x + 6. da
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