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The area bounded by the curves y = x^(3)...

The area bounded by the curves `y = x^(3)` and y = x is

A

`1//2` sq unit

B

`1//4` sq unit

C

`1//8` sq unit

D

`1//16` sq unit

Text Solution

Verified by Experts

The correct Answer is:
A
The points of intersection of the given curved are (0,0), (1,0) and (-1,-1)
`therefore` Required area `=2int_(0)^(1)(x-x^(3))dx`
`=2[(x^(2))/(2)-(x^(4))/(4)]_(0)^(1)=2[(1)/(2)-(1)/(4)]=(1)/(2)` sq unit
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