Consider the integral 2*(2* – 2)*dz. Tojfind jthe value of thj integral, make the substitution u 26 – 2. %3D a) Write (2° – 2)° in terms of u: b) This makes da = |du c) Re-write the integral in terms of u and du, and find the antiderivative. The antiderivative in terms of u is: d) Now back-substitute and write your answer to part (c) in terms of r:

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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Consider the integral * (2° – 2)°dz.
To find the value of this integral, make the substitution u = x° – 2.
a) Write (1° – 2)° in terms of u:
b) This makes dr =
du
c) Re-write the integral in terms of u and du, and find the antiderivative.
The antiderivative in terms of u is:
d) Now back-substitute and write your answer to part (c) in terms of r:
Transcribed Image Text:Consider the integral * (2° – 2)°dz. To find the value of this integral, make the substitution u = x° – 2. a) Write (1° – 2)° in terms of u: b) This makes dr = du c) Re-write the integral in terms of u and du, and find the antiderivative. The antiderivative in terms of u is: d) Now back-substitute and write your answer to part (c) in terms of r:
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