Plug the formulas into the original integral, and simplify as much as possible. You

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 70E
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Question 008: Complete the following question involving Trigonometric Substitution
Given the following integral
dx
x (x2 .
and its Trigonometric Substitution formulas
2sec(e)
dx
2sec(e)tan(0) de
x2 -4
4tan2(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 4+
Jcse(e)
de
J tan(e)
de
Jcor(e) de
2sec(e) tan(e)
de
2sec(e) 4tan2(0)
Transcribed Image Text:Question 008: Complete the following question involving Trigonometric Substitution Given the following integral dx x (x2 . and its Trigonometric Substitution formulas 2sec(e) dx 2sec(e)tan(0) de x2 -4 4tan2(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 4+ Jcse(e) de J tan(e) de Jcor(e) de 2sec(e) tan(e) de 2sec(e) 4tan2(0)
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