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

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

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