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What is the area of the parabola x^(2) ...

What is the area of the parabola `x^(2) = y` bounded by the lines `y = 1` ?

A

`1/3` square unit

B

`2/3` square unit

C

`4/3` square units

D

`2` square units

Text Solution

Verified by Experts

The correct Answer is:
C

Area of `ABCD =2 xx 1 = 2` sq. units
Area of `AOD = int_(-1)^(1) x^(2)dx = (x^(3))/(3)|_(-1)^(1) = 2/3` sq. units
Required area `= 2 - 2 /3 = 4/3` sq. units
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