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(a) Decide on a trigonometric substitution to use. atant 84 de=asec Codo /₁ de in terms of 6 and de. Simplify and then integrate. 16 +2² (b) Substitute into (c) Draw a right triangle with legs of length x and 4, and correctly label the angle 8 so that your on substitution is true. Find the length of the hypotenuse, (d) Use your triangle to find an expression for sec 0 in terms of r. Use this to write your final a terms of r. e) Optional: Compare with the result you get by using the substitution u = 16+z².

(a) Decide on a trigonometric substitution to use. atant 84 de=asec Codo /₁ de in terms of 6 and de. Simplify and then integrate. 16 +2² (b) Substitute into (c) Draw a right triangle with legs of length x and 4, and correctly label the angle 8 so that your on substitution is true. Find the length of the hypotenuse, (d) Use your triangle to find an expression for sec 0 in terms of r. Use this to write your final a terms of r. e) Optional: Compare with the result you get by using the substitution u = 16+z².

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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3. Consider the integral (a) Decide on a trigonometric substitution to use. a tant de=asec Codo (b) Substitute into 1 16+x² 3 16+*² de in terms of @ and de. Simplify and then integrate. (c) Draw a right triangle with legs of length x and 4, and correctly label the angle 8 so that your original substitution is true. Find the length of the hypotenuse. (d) Use your triangle to find an expression for sec 0 in terms of r. Use this to write your final answer in terms of r. (e) Optional: Compare with the result you get by using the substitution u = 16+z².
Transcribed Image Text:3. Consider the integral (a) Decide on a trigonometric substitution to use. a tant de=asec Codo (b) Substitute into 1 16+x² 3 16+*² de in terms of @ and de. Simplify and then integrate. (c) Draw a right triangle with legs of length x and 4, and correctly label the angle 8 so that your original substitution is true. Find the length of the hypotenuse. (d) Use your triangle to find an expression for sec 0 in terms of r. Use this to write your final answer in terms of r. (e) Optional: Compare with the result you get by using the substitution u = 16+z².
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