ution 1- u? cos x and dx 1+ u? grand to a rational function of u, and t al. If you have a CAS, use it to evaluat ution), and then confirm that the resu 1+u dx =

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.6: The Matrix Of A Linear Transformation
Problem 30EQ
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Make the u-substitution
1– u?
1+ u?
2
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
2u
sin x
COs x =
and
dx
1+ u2'
integral (no substitution), and then confirm that the results are
equivalent.
1
dx
12 sin x – 5 cos x
+C
-
NOTE: Enter the exact answer.
Transcribed Image Text:Make the u-substitution 1– u? 1+ u? 2 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 2u sin x COs x = and dx 1+ u2' integral (no substitution), and then confirm that the results are equivalent. 1 dx 12 sin x – 5 cos x +C - NOTE: Enter the exact answer.
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