16 Evaluate the integral: x² /x² + 49 (A) Which trig substitution is correct for this integral? O x = 16 sec(0) O x = 49 sin(0) O x = 49 sec(0) Ox = 7 tan(0) O x = 49 tan(0) O x = 7 sin(0) (B) Which integral do you obtain after substituting for a and simplifying? Note: to enter 0, type the word theta. do (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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 24E
icon
Related questions
Question
+ 49
Evaluate the integral:
16
dx
x²Vx² + 49
(A) Which trig substitution is correct for this integral?
O x = 16 sec(0)
O x =
49 sin(0)
Ox = 49 sec(0)
O x = 7 tan(0)
O x = 49 tan(0)
%3D
O x = 7 sin(0)
(B) Which integral do you obtain after substituting for x and simplifying?
Note: to enter 0, type the word theta.
do
(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?
Transcribed Image Text:+ 49 Evaluate the integral: 16 dx x²Vx² + 49 (A) Which trig substitution is correct for this integral? O x = 16 sec(0) O x = 49 sin(0) Ox = 49 sec(0) O x = 7 tan(0) O x = 49 tan(0) %3D O x = 7 sin(0) (B) Which integral do you obtain after substituting for x and simplifying? Note: to enter 0, type the word theta. do (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?
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,