Evaluate each integral using u for substitution. Round to the nearest ten-thousandth.
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Calculus Worksheets
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Substitution in Definite Integrals
Substitution in Definite Integrals
1)
0
-3
4x + 4
(x
2
+ 2x - 15)
3
___________
; u = x
2
+ 2x - 15
2)
4
3
10x - 5
(x
2
- x)
4
______
; u = x
2
- x
3)
6
5
-2
(x - 4)
2
_____
; u = x - 4
4)
3
1
4
(-x - 1)
4
______
; u = -x - 1
5)
4
1
-10x - 20
(x
2
+ 4x + 4)
2
__________
; u = x
2
+ 4x + 4
6)
3
1
-6x
(-x
2
+ 4)
2
_______
; u = -x
2
+ 4
7)
9
6
4
(x - 5)
3
_____
; u = x - 5
8)
5
2
-3
(x + 1)
4
______
; u = x + 1