1. Find the area of the region bounded by y = x(x - 1)(x - 2), the x-axis and x = 0 and x = 4.
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Answer:
2)m=3x+4
dm=3dx
When x=0 , m=4 ,
x=4 , m=16
∫
0
4
3x+4
dx
=
3
1
∫
4
16
m
dm
=
3
1
[
2
3
m
2
3
]
4
16
9
2
[4
3
−2
3
]=
9
2×56
squnits
=
9
112
squnits
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