Integration By U-Substitution And Pattern Recognition Worksheet - Ws 4.4, Calculus Maximus Page 4

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Calculus Maximus
WS 4.4: u-sub & pattern recog
1
2
x
4
x
1
10. Evaluate
dx
2
3
x
3
0
1 4 ln 3
1 2 ln 2
2 4 ln 3
1 2 ln 3
1 4 ln 2
(A)
(B)
(C)
(D)
(E)
6
3
3
3
6
4
e
5
11. Evaluate
dx
x
ln
x
e
(A) 6
(B) 7
(C) 8
(D) 9
(E) 10
Free Response:
 .
12. Evaluate the following indefinite integrals. Don’t forget your C
2
3
t
2
2
2
x
2
(a)
2
x x
1
dx
(b)
dt
(c)
x
2
x
1
dx
(d)
3
xe
dx
t 
3
4
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