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Area of the region bounded by the curve ...

Area of the region bounded by the curve
`y={{:(x^(2)",",x lt0),(x",",x ge0):}` and the line `y=4` is

A

`10/3 ` sq unit

B

`20/3` sq unit

C

`40/3` sq unit

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Required area
`=int_(-2)^(0)(4-x^(2))dx+int_(0)^(4)(4-x)dx`
`=[4x-(x^(3))/(3)]_(-2)^(0)+[4x-(x^(2))/(2)]_(0)^(4)`
`=8-8/3+16-8`
`=40/3` sq unit
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