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The area (in sq unit) of the region encl...

The area (in sq unit) of the region enclosed by the curves `y = x^(2) and y = x^(3)` is

A

`(1)/(12)`

B

`(1)/(6)`

C

`(1)/(3)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Intersection point of given curves is (1, 1).

`therefore " Area "=int_(0)^(1)(x^(2)-x^(3))dx=[(x^(3))/(3)-(x^(4))/(4)]_(0)^(1)=(1)/(12)` sq unit
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