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In problem do the following. (a) Choose the appropriate substitution for r in terms of using the above table. (b) Determine da in terms of de. (c) Draw and label a triangle with acute angle 0. (d) Apply your substitutions and evaluate the resulting trigonometric integral. Javi x√1 - xªdx

In problem do the following. (a) Choose the appropriate substitution for r in terms of using the above table. (b) Determine da in terms of de. (c) Draw and label a triangle with acute angle 0. (d) Apply your substitutions and evaluate the resulting trigonometric integral. Javi x√1 - xªdx

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 22E
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If the integrand contains: √a²-x² √a² +x² √x² - a² JTVT Apply the substitution: Subject to the restriction: 71 x = a sin 0 ≤0 x = a tan 0 <O< x = a sec 0 2 0 ≤ 0 < or π ≤ 0 < x√1 - x¹dx ㅠ 2 In problem do the following. (a) Choose the appropriate substitution for r in terms of using the above table. (b) Determine dx in terms of de. 3π 2 (c) Draw and label a triangle with acute angle 0. (d) Apply your substitutions and evaluate the resulting trigonometric integral.
Transcribed Image Text:If the integrand contains: √a²-x² √a² +x² √x² - a² JTVT Apply the substitution: Subject to the restriction: 71 x = a sin 0 ≤0 x = a tan 0 <O< x = a sec 0 2 0 ≤ 0 < or π ≤ 0 < x√1 - x¹dx ㅠ 2 In problem do the following. (a) Choose the appropriate substitution for r in terms of using the above table. (b) Determine dx in terms of de. 3π 2 (c) Draw and label a triangle with acute angle 0. (d) Apply your substitutions and evaluate the resulting trigonometric integral.
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