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

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

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Substitution in the Definite Integral Suppose we want to evaluate the definite integral, tan z sec z dr using the substitution, u = tan(r). 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(z). Then, input the antiderivative of the integrand and the limits of integration you found. 1 Part 2. Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above. tan z sec z dz = 1
Transcribed Image Text:Substitution in the Definite Integral Suppose we want to evaluate the definite integral, tan z sec z dr using the substitution, u = tan(r). 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(z). Then, input the antiderivative of the integrand and the limits of integration you found. 1 Part 2. Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above. tan z sec z dz = 1
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