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)
4
1
-8x + 8
(-x
2
+ 2x + 3)
3
___________
; u = -x
2
+ 2x + 3
2)
9
6
2
(x - 3)
4
_____
; u = x - 3
3)
6
4
4
(-x + 3)
2
______
; u = -x + 3
4)
2
1
10x - 10
(-x
2
+ 2x + 8)
3
___________
; u = -x
2
+ 2x + 8
5)
8
7
-10x + 45
(-x
2
+ 9x - 20)
3
___________
; u = -x
2
+ 9x - 20
6)
2
1
2
(-x - 2)
4
______
; u = -x - 2
7)
3
0
3
(x + 2)
2
______
; u = x + 2
8)
3
2
-6x + 9
(x
2
- 3x - 4)
2
_________
; u = x
2
- 3x - 4