Evaluate the integral: | 28x² 49 - x² -dx

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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Can you show me how to do parts b-d?

Evaluate the integral:
J
X =
49 sec (0)
O x = 7 tan(0)
O x = 49 sin (0)
Ox=
49 tan(0)
Ox=7 sec (0)
28x²
49 -x²
(A) Which trig substitution is correct for this integral?
x = = 7 sin(0)
-dx
(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?
(D) What is the value of the original integral in terms of x?
+ C
+ C
Transcribed Image Text:Evaluate the integral: J X = 49 sec (0) O x = 7 tan(0) O x = 49 sin (0) Ox= 49 tan(0) Ox=7 sec (0) 28x² 49 -x² (A) Which trig substitution is correct for this integral? x = = 7 sin(0) -dx (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? (D) What is the value of the original integral in terms of x? + C + C
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