Evaluate the integral using the indicated trigonometric substitution. (Remember the constant of integration.) 2-81 X dx, x = 9 sec(0) (3)√25+ x²(x²-50) + C * Check your answer by taking the derivative. x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.4: Definition Of Function
Problem 51E
icon
Related questions
Question

Evaluate the integral using the indicated trigonometric substitution. (Remember the constant of integration.)

Evaluate the integral using the indicated trigonometric substitution. (Remember the constant of integration.)
2-81
X
CHOICE C
dx,
[(-) /25+ x²(x²-50) + C x
*Check your answer by taking the derivative.
Sketch and label the associated right triangle.
CHOICE A
√x +81
X
9
x = 9 sec(0)
√√81-x²
9
✓
CHOICE B
CHOICE D
✓Nice job.
9
+81
9
√√²-81
Transcribed Image Text:Evaluate the integral using the indicated trigonometric substitution. (Remember the constant of integration.) 2-81 X CHOICE C dx, [(-) /25+ x²(x²-50) + C x *Check your answer by taking the derivative. Sketch and label the associated right triangle. CHOICE A √x +81 X 9 x = 9 sec(0) √√81-x² 9 ✓ CHOICE B CHOICE D ✓Nice job. 9 +81 9 √√²-81
Expert Solution
steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
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,
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning