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Evaluate the integral: Fa ○ x = 6 sin(0) ○ x = 36 tan(0) 28 x²√x² + 36 dx (A) Which trig substitution is correct for this integral? 0x = 36 sec (0) Ox = 36 sin(0) ○ x = 6 tan(0) 0x = − 28 sec(0) (B) Which integral do you obtain after substituting for å and simplifying? Note: to enter 0, type the word theta. do (C) What is the value of the above integral in terms of 0? + C (D) What is the value of the original integral in terms of ? + C

Evaluate the integral: Fa ○ x = 6 sin(0) ○ x = 36 tan(0) 28 x²√x² + 36 dx (A) Which trig substitution is correct for this integral? 0x = 36 sec (0) Ox = 36 sin(0) ○ x = 6 tan(0) 0x = − 28 sec(0) (B) Which integral do you obtain after substituting for å and simplifying? Note: to enter 0, type the word theta. do (C) What is the value of the above integral in terms of 0? + C (D) What is the value of the original integral in terms of ? + C

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.1: Verifying Trigonometric Identities
Problem 71E
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Trig substitutions question
Evaluate the integral: Ox= X= 28 √₂²√2² + 36 (A) Which trig substitution is correct for this integral? Ox= 36 sec (0) ○ x = 36 sin(0) 0x = 6 tan (0) - 28 sec(0) O x = 6 sin(0) ○ x = 36 tan(0) dx 41 (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? + C (D) What is the value of the original integral in terms of ? + C
Transcribed Image Text:Evaluate the integral: Ox= X= 28 √₂²√2² + 36 (A) Which trig substitution is correct for this integral? Ox= 36 sec (0) ○ x = 36 sin(0) 0x = 6 tan (0) - 28 sec(0) O x = 6 sin(0) ○ x = 36 tan(0) dx 41 (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? + C (D) What is the value of the original integral in terms of ? + C
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