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JAMB
Evaluate ∫
1
0
4x−6
3
√x
2
−dx
A.
- 5/8
B.
-8/5
C.
8/5
D.
5/8
Correct Answer:
-8/5
Explanation
∫
1
0
4x − 6
3
√x
2
dx =∫
1
0
4x − 6x
(2/3)
dx =(2x
2
−(8x
5/3
)/5)
1
0
=(2(1)
2
−(18(1)
5/3
)/5)−(2(0)
2
− (18(0)
5/3
)/5 = - 8/5 - 0 - 8/5
∫
1
0
4x − 6
3
√x
2
dx =∫
1
0
4x − 6x
(2/3)
dx =(2x
2
−(8x
5/3
)/5)
1
0
=(2(1)
2
−(18(1)
5/3
)/5)−(2(0)
2
− (18(0)
5/3
)/5 = - 8/5 - 0 - 8/5
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