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The area of the closed figure bounded by...

The area of the closed figure bounded by `x=-1x=2,` and `y={{:(-x^(2)+2",",xle1),(2x-1",",xgt1):}` and the abscissa axis is

A

`16//3` sq. units

B

`10//3` sq. units

C

`13//3` sq. units

D

`7//3` sq. units

Text Solution

Verified by Experts

The correct Answer is:
A

`A=overset(1)underset(-1)int(-x^(2)+2)dx+overset(2)underset(1)int(2x-1)dx`
`=(-(x^(3))/(3)+2x)_(-1)^(1)+(x^(2)-x)_(1)^(2)`
`=(16)/(3)` sq. units
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