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Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.) dx, x2 + 36 x = 6 tan(8)

Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.) dx, x2 + 36 x = 6 tan(8)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 38RE
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Question
Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.) x3 dx, Vx2 + 36 x = 6 tan(0) Sketch and label the associated right triangle. V x + 36 V 36 – x? Vx + 36 Vx - 36
Transcribed Image Text:Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of integration.) x3 dx, Vx2 + 36 x = 6 tan(0) Sketch and label the associated right triangle. V x + 36 V 36 – x? Vx + 36 Vx - 36
Expert Solution
Step 1

The given integral is:

I=∫x3x2+36dx

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