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Problem 4. Consider the integral x³ x² +9 J (a) According to lectures, which substitution should we try if we see the term √x² + a²? 27 dx. (b) Make a substitution to show that our integral is equal to 7 S (c) Using another substitution, show that Ita tan³0 sec 0 d0 = 9 sec³ 0- 27 sec 0 + c. (d) Suppose we have the following triangle: 27 tan³0 sec Ꮎ dᎾ . 3 NOT TO SCALE X Using SOH CAH TOA, what is the value of tan 0? What is the value of the hypotenuse? What is the value of cos 0? What is the value of sec 0? (e) Evaluate the integral given at the start of the question.

Problem 4. Consider the integral x³ x² +9 J (a) According to lectures, which substitution should we try if we see the term √x² + a²? 27 dx. (b) Make a substitution to show that our integral is equal to 7 S (c) Using another substitution, show that Ita tan³0 sec 0 d0 = 9 sec³ 0- 27 sec 0 + c. (d) Suppose we have the following triangle: 27 tan³0 sec Ꮎ dᎾ . 3 NOT TO SCALE X Using SOH CAH TOA, what is the value of tan 0? What is the value of the hypotenuse? What is the value of cos 0? What is the value of sec 0? (e) Evaluate the integral given at the start of the question.

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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Problem 4. Consider the integral x³ x² +9 J (a) According to lectures, which substitution should we try if we see the term √x² + a²? 27 dx. (b) Make a substitution to show that our integral is equal to 7 S (c) Using another substitution, show that Ita tan³0 sec 0 d0 = 9 sec³ 0- 27 sec 0 + c. (d) Suppose we have the following triangle: 27 tan³0 sec Ꮎ dᎾ . 3 NOT TO SCALE X Using SOH CAH TOA, what is the value of tan 0? What is the value of the hypotenuse? What is the value of cos 0? What is the value of sec 0? (e) Evaluate the integral given at the start of the question.
Transcribed Image Text:Problem 4. Consider the integral x³ x² +9 J (a) According to lectures, which substitution should we try if we see the term √x² + a²? 27 dx. (b) Make a substitution to show that our integral is equal to 7 S (c) Using another substitution, show that Ita tan³0 sec 0 d0 = 9 sec³ 0- 27 sec 0 + c. (d) Suppose we have the following triangle: 27 tan³0 sec Ꮎ dᎾ . 3 NOT TO SCALE X Using SOH CAH TOA, what is the value of tan 0? What is the value of the hypotenuse? What is the value of cos 0? What is the value of sec 0? (e) Evaluate the integral given at the start of the question.
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