Make the u-substitution 1– u? 1+ u? to convert the integrand to a rational function of u, and then evaluate the integral. If you have a CAS, use it to evaluate the integral (no substitution), and then confirm that the results are 2u - dx 1+ u? sin x cos x and du 1+ u2' equivalent. 1 dx 4 sin x – 3 cos x -

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 20E
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Make the u-substitution
1— и?
1+ u?
2и
2
and
du
1+ u?
to convert the integrand to a rational function of u, and then
evaluate the integral. If you have a CAS, use it to evaluate the
sin x
cos x
dx
1+ u2'
integral (no substitution), and then confirm that the results are
equivalent.
1
C
dx
4 sin x – 3 cOs x
Transcribed Image Text:Make the u-substitution 1— и? 1+ u? 2и 2 and du 1+ u? to convert the integrand to a rational function of u, and then evaluate the integral. If you have a CAS, use it to evaluate the sin x cos x dx 1+ u2' integral (no substitution), and then confirm that the results are equivalent. 1 C dx 4 sin x – 3 cOs x
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