
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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I was hoping someone could double check my work to make sure I did the problem correctly? Thank you!

Transcribed Image Text:2) a) Calculate the integrel 19-ni dy by using the poner rule for antiderivatives:
+C
b) calculate the integral 9-xdx again but via trig sub:
X= 3 sin o
X- Sin &
a':
3
a= 9-x"
dx 3 sine
de
59-(3sine) 30osods
53(9-95in's)cosede
1(9(1-sin'e) cosede
dr= 3056do
C) Verify your answers match
U= Sino
27 (1- sins) cosede
27 cos6- cosesinede
du = oS6 de
92-x +C = 9x-X +C
3
27
Cose u
Cosede
27/1-4' du
27
27(sing - sin's
9x-27x
8 1
277
27x
27
3.
27
3.
3.
3
9x-X
3
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