/hat is a constant of integration? Why does an answer to an integration problem involve a constant of integration? valuate the integral sin x cos x dx by two methods: first by letting u = sinx, and then by letting u = cosx and then explain why the two apparently different answers obtained part (a) are really equivalent. you want to evaluate an integral by u-substitution, how do you decide what part of the integrand to choose for u?

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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INTEGRAL CALCULUS (3 Items): Integration

3. What is a constant of integration? Why does an answer to an integration problem involve a constant of integration?
4. Evaluate the integral sin x cos x dx by two methods: first by letting u = sinx, and then by letting u = cosx and then explain why the two apparently different answers obtained in part (a) are really equivalent.
5. If you want to evaluate an integral by u-substitution, how do you decide what part of the integrand to choose for u?
Transcribed Image Text:3. What is a constant of integration? Why does an answer to an integration problem involve a constant of integration? 4. Evaluate the integral sin x cos x dx by two methods: first by letting u = sinx, and then by letting u = cosx and then explain why the two apparently different answers obtained in part (a) are really equivalent. 5. If you want to evaluate an integral by u-substitution, how do you decide what part of the integrand to choose for u?
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