Make the u-substitution 2u 1- u? dx = 1+ u2 sin x = Cos x = 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 1+ u2' integral (no substitution), and then confirm that the results are equivalent. 1 d.x 3 cos x %3D 4 sin x -

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Make the u-substitution
2u
1– u?
du
dx =
1+ u?
sin x =
COS X =
and
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
1+ u2'
integral (no substitution), and then confirm that the results are
equivalent.
1
dx =
%3D
4 sin x - 3 cos x
NOTE: Enter the exact answer.
Transcribed Image Text:Make the u-substitution 2u 1– u? du dx = 1+ u? sin x = COS X = and 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 1+ u2' integral (no substitution), and then confirm that the results are equivalent. 1 dx = %3D 4 sin x - 3 cos x NOTE: Enter the exact answer.
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