20/x² – 49 -dx - Evaluate the integral: (A) Which trig substitution is correct for this integral?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 70E
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(20/x2 – 49
-dx
Evaluate the integral:
x4
(A) Which trig substitution is correct for this integral?
49 sec(0)
20 sin(0)
7 sec(0)
x = 7 sin(0)
49 tan(0)
= 7 tan(0)
(B) Which integral do you obtain after substituting for x and simplifying?
Note: to enter 0, type the word theta.
de
(C) What is the value of the above integral in terms of 0?
+C
(D) What is the value of the original integral in terms of x?
+C
Transcribed Image Text:(20/x2 – 49 -dx Evaluate the integral: x4 (A) Which trig substitution is correct for this integral? 49 sec(0) 20 sin(0) 7 sec(0) x = 7 sin(0) 49 tan(0) = 7 tan(0) (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter 0, type the word theta. de (C) What is the value of the above integral in terms of 0? +C (D) What is the value of the original integral in terms of x? +C
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