Substitution in the Definite Integral Suppose we want to evaluate the definite integral, 6 cos? z sin z dz using the substitution, u = cos(z) Part 1. Re-write the definite integral in terms of the variable and remember to use the limits of integration for the function u = f(r). Then, input the antiderivative of the integrand and the limits of integration you found. Note: Type your answers above in such a way that the lower limit of integration is less than the upper limit of integration. Part 2. Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above. 6 cos z sin z dr
Substitution in the Definite Integral Suppose we want to evaluate the definite integral, 6 cos? z sin z dz using the substitution, u = cos(z) Part 1. Re-write the definite integral in terms of the variable and remember to use the limits of integration for the function u = f(r). Then, input the antiderivative of the integrand and the limits of integration you found. Note: Type your answers above in such a way that the lower limit of integration is less than the upper limit of integration. Part 2. Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above. 6 cos z sin z dr
Calculus: Early Transcendentals
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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,
6 cos? z sin z dz using the substitution, u = cos(z)
Part 1.
Re-write the definite integral in terms of the variable
and remember to use the limits of integration for the function u = f(r). Then, input the antiderivative of the integrand and the limits of integration
you found.
Note: Type your answers above in such a way that the lower limit of integration is less than the upper limit of integration.
Part 2.
Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above.
6 cos z sin z dr](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd49a5070-9d99-4a2f-a144-be47e7ddead5%2F0a3412ea-688c-4b9c-961f-08a88f0b6374%2F4fopgjl_processed.png&w=3840&q=75)
Transcribed Image Text:Substitution in the Definite Integral
Suppose we want to evaluate the definite integral,
6 cos? z sin z dz using the substitution, u = cos(z)
Part 1.
Re-write the definite integral in terms of the variable
and remember to use the limits of integration for the function u = f(r). Then, input the antiderivative of the integrand and the limits of integration
you found.
Note: Type your answers above in such a way that the lower limit of integration is less than the upper limit of integration.
Part 2.
Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part 1. above.
6 cos z sin z dr
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