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The area bounded by the curve y^(2)(2-x)...

The area bounded by the curve `y^(2)(2-x)=x^(3) and x=2` is

A

(a) `5//2` sq. units

B

(b) `7//2` sq. units

C

(c) `9//2` sq. units

D

(d) None of these

Text Solution

Verified by Experts

The correct Answer is:
C

`"Required area "=overset(2)underset(-1)int(-y^(2)-(-y-2))dy`
`=[(y^(2))/(2)+2y-(y^(3))/(3)]_(1)^(2)`
`=[(4)/(2)+4-(8)/(3)-((1)/(2)-2+(1)/(3))]`
`=9//2` sq. units.
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