(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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 38E
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