If f(x)=int(-1)^(x)|t|dt, then for any x...

If `f(x)=int_(-1)^(x)|t|dt`, then for any `x ge0,f(x)` is equal to

A

`1 +x^2`

B

`1/2 (1 - x^2)`

C

`1 - x^2 `

D

`1/2 (1 + x^2)`

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The correct Answer is:

D

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