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

If `f(x)=int_(-1)^(x)|t|dt`, then for any `x ge 0 , f (x)=`

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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