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Given the following integral SV2-25 ox Determine the Trigonometric Substitution formulas that need to be used for this integral.

Given the following integral SV2-25 ox Determine the Trigonometric Substitution formulas that need to be used for this integral.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Question 004: Complete the following question involving Trigonometric Substitution Given the following integral SV2 - 25 ox Determine the Trigonometric Substitution formulas that need to be used for this integral. A Ssec(e) dx 5sec(e)tan(e) de x2. 25 25tan?(e) A 5sin(e) dx Scos(e) de x2- 25 25cos (e) A 5tan(e) dx 5sec(e)tan(e) de x2- 25 25tan2(e) A 25 25tan(e) 25sec2(e) de dx x2- 25 25sec?(e)
Transcribed Image Text:Question 004: Complete the following question involving Trigonometric Substitution Given the following integral SV2 - 25 ox Determine the Trigonometric Substitution formulas that need to be used for this integral. A Ssec(e) dx 5sec(e)tan(e) de x2. 25 25tan?(e) A 5sin(e) dx Scos(e) de x2- 25 25cos (e) A 5tan(e) dx 5sec(e)tan(e) de x2- 25 25tan2(e) A 25 25tan(e) 25sec2(e) de dx x2- 25 25sec?(e)
Expert Solution
Step 1

The given integral is:

I=∫x2-25dx

Trigonometric relation used is:

tan2x+sec2y=1

The given integral is easy to solve by trigonometric substitution:

 

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