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1 /m2 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. (c) Draw and label a triangle with acute angle 0. (d) Apply your substitutions and evaluate the resulting trigonometric integral. =dx I 16 or T≤ 0 < 2 3π 2

1 /m2 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. (c) Draw and label a triangle with acute angle 0. (d) Apply your substitutions and evaluate the resulting trigonometric integral. =dx I 16 or T≤ 0 < 2 3π 2

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 20E
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If the integrand contains: Va² x² Va² + x² √x²-a² J Apply the substitution: Subject to the restriction: 70 70 x = a sin 0 ☾ 0 < x = a tan 0 x = a sec 0 1 x² + 16 -2<0 0≤0< -dx or πεθ < ㅠ NENE 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. 70 2 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: Va² x² Va² + x² √x²-a² J Apply the substitution: Subject to the restriction: 70 70 x = a sin 0 ☾ 0 < x = a tan 0 x = a sec 0 1 x² + 16 -2<0 0≤0< -dx or πεθ < ㅠ NENE 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. 70 2 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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