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Area included between curves y=x^(2)-3x+...

Area included between curves `y=x^(2)-3x+2 and y=-x^(2)+3x-2` is

A

`(1)/(6)` sq unit

B

`(1)/(2)` sq unit

C

1 sq unit

D

`(1)/(3)` sq unit

Text Solution

Verified by Experts

The correct Answer is:
D
Intersection points of the curves are (1, 0) and (2, 0).
Therefore, required area `=2int_(1)^(2)(-x^(2)+3x-2)dx`
`=2[(-x^(3))/(3)+(3x^(2))/(2)-2x]_(1)^(2)`

`=2[(-8)/(3)+4-(7)/(6)]=(1)/(3)` sq unit
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