Find the area of the region bounded by y=2x y=0 x=0 and x=3
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Answered by
2
Answer:
Correct option is
B
3
4
sq.units
Curve y=2x−x
2
cuts x-axis at x=0,2
So, points are (0,0),(2,0)
Area of bounded region is
A=∫
0
2
(2x−x
2
)dx
=[x
2
−
3
x
3
]
0
2
=[2
2
−
3
2
3
]−[0
2
−
3
0
3
]
=
3
4
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