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If int(0)^(x)f(t)dt=x^2+int+(x)^(1)t^2f(...

If `int_(0)^(x)f(t)dt=x^2+int+_(x)^(1)t^2f(t)dt`, then `f((1)/(2))` is equal to (a) `(24)/(25)` (b) `(4)/(25)` (c) `(4)/(5)` (d) `(2)/(5)`

A

`(18)/(25)`

B

`(4)/(5)`

C

`(24)/(25)`

D

`(6)/(25)`

Text Solution

Verified by Experts

The correct Answer is:
C
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