Find the area bounded by y²=x+4; x-2y+1=0
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Answer:
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Step-by-step explanation:
The area of the region bounded by the curve, y
2
=x, the lines, x=1 and x=4, and the x-axis is the area ABCD.
Thus area of ABCD =∫
1
4
ydx
=∫
1
4
x
dx
=[
2
3
x
2
3
]
1
4
=
3
2
[(4)
2
3
−(1)
2
3
]
=
3
2
[8−1]
=
3
14
units
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