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int-2^2 |x| dx is equal to...

`int_-2^2 |x| dx` is equal to

A

`4`

B

`3.5`

C

`2`

D

`0`

Text Solution

Verified by Experts

`I=int_(-2)^(0)|x|dx+int_(0)^(2)|x|dx=int_(-2)^(0)-xdx+int_(0)^(2)xdx`.
`=[-(x^(2))/(2)]_(-2)^(0)+[(x^(2))/(2)]_(0)^(2)=0-(-2)+(2-0)=4`.
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