Evaluate the integral: 1. √64 x² 14x² x = 64 tan(0) 64 sec (0) x = 8 sec (0) x = 8 sin(0) x = 64 sin(0) x = (A) Which trig substitution is correct for this integral? x = 8 tan(0) -dx (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter 0, type the word theta. / / - cot² (0) x de (C) What is the value of the above integral in terms of ? + C (D) What is the value of the original integral in terms of x? + C

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 solve b-d?

Evaluate the integral:
0x =
X =
(A) Which trig substitution is correct for this integral?
O x = 8 tan(0)
X =
= 8 sec (0)
x = 8 sin(0)
- 64 sec (0)
Ox=
64 tan(0)
/ - /
S
= 64 sin(0)
64 - x²
14x²
cot (0)
-dx
(B) Which integral do you obtain after substituting for x and simplifying?
Note: to enter 0, type the word theta.
x de
(C) What is the value of the above integral in terms of ?
+ C
(D) What is the value of the original integral in terms of x?
+ C
Transcribed Image Text:Evaluate the integral: 0x = X = (A) Which trig substitution is correct for this integral? O x = 8 tan(0) X = = 8 sec (0) x = 8 sin(0) - 64 sec (0) Ox= 64 tan(0) / - / S = 64 sin(0) 64 - x² 14x² cot (0) -dx (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter 0, type the word theta. x de (C) What is the value of the above integral in terms of ? + C (D) What is the value of the original integral in terms of x? + C
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