Integration By U-Substitution And Pattern Recognition Worksheet - Ws 4.4, Calculus Maximus Page 2
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7Calculus Maximus
WS 4.4: u-sub & pattern recog
1
2
8
x
2
x
4. Evaluate the definite integral
4 2
x e
dx
0
1
1
1
e
e
e
6
6
6
6
6
(A)
1
(B)
e
1
(C)
e
1
(D)
1
(E)
1
2
2
2
tan
x
4
2
e
5
5. Evaluate
dx
2
cos
x
0
e
e
e
(A) 2
3
(B) 2e
(C) 2
3
(D) e
(E)
5
4
3
6.
1 2ln x dx
x
1
1
1
4
4
4
4
(A)
1 2ln x
C
(B)
1 2ln
x
C
(C)
1 2ln
x
C
(D)
ln
x
1 2ln
x
C
2
2
2
4
(E)
1 2ln x
C
Page 2 of 7
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