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Area bounded by the lines y=x,x=-1,x=2 a...

Area bounded by the lines `y=x,x=-1,x=2` and x-axis is

A

5/2 sq unit

B

3/2 sq unit

C

1/2 sq unit

D

None of the above

Text Solution

Verified by Experts

The correct Answer is:
A
Required area `int _(-1)^(2)y dx`

`= int _(-1)^(0) y dx + int_(0)^(2)y dx`
`=| int _(-1)^(0) x dx|+int _(0)^(2) dx dx`
`|[(x^(2))/(2)]_(-1)^(0)|+[(x^(2))/(2)]_(0)^(2)=(5)/(2)` sq unit
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Knowledge Check

  • The area bounded by the curve y=x(x^(2)-1) and x-axis is

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