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Question 007: Complete the following question involving Trigonometric Substitution Given the following integral 3 ((x2 + 81)2 dx and its Trigonometric Substitution formulas 9tan(e) 9sec2(e) de dx x2 + 81 81sec2(e) Plug the formulas into the original integral, and simplify as much as possible. You do not have to find the integral at the point. O 243 . (sec3(e) de O 6561 • ( sec5(e) de O 2187 ( sec2(e) °* 36 * Ssec5(e) de

Question 007: Complete the following question involving Trigonometric Substitution Given the following integral 3 ((x2 + 81)2 dx and its Trigonometric Substitution formulas 9tan(e) 9sec2(e) de dx x2 + 81 81sec2(e) Plug the formulas into the original integral, and simplify as much as possible. You do not have to find the integral at the point. O 243 . (sec3(e) de O 6561 • ( sec5(e) de O 2187 ( sec2(e) °* 36 * Ssec5(e) de

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 65E
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Question 007: Complete the following question involving Trigonometric Substitution Given the following integral 3 [(x2 + 81)2 dx and its Trigonometric Substitution formulas 9tan(e) dx 9sec2(e) de x2 + 81 81sec (e) Plug the formulas into the original integral, and simplify as much as possible. You do not have to find the integral at the point. O 243 . (sec3(e) de O 6561 • (sec5(e) de O 2187 ( sec2(e) * 36 * J sec5(e) de
Transcribed Image Text:Question 007: Complete the following question involving Trigonometric Substitution Given the following integral 3 [(x2 + 81)2 dx and its Trigonometric Substitution formulas 9tan(e) dx 9sec2(e) de x2 + 81 81sec (e) Plug the formulas into the original integral, and simplify as much as possible. You do not have to find the integral at the point. O 243 . (sec3(e) de O 6561 • (sec5(e) de O 2187 ( sec2(e) * 36 * J sec5(e) de
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