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If f'(x)=(x-1)^(3) and f(2)+f(-2)=0, the...

If `f'(x)=(x-1)^(3) and f(2)+f(-2)=0`, then : `f(x)=`

A

`((x-1)^(3))/(3)-(41)/(3)`

B

`((x-1)^(4))/(4)-(41)/(3)`

C

`((x-1)^(4))/(4)-(41)/(4)`

D

`3(x-1)^(4)+(41)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
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