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

If `f(x)=x^(2)int_(0)^(1)f(t)dt+2`, then

A

(a)`f(x)=3x^(2)+2`

B

(b)`12x^(2)+2`

C

(c)Slope of `y=f(x)` at `x=1 ` is `5`

D

(d)`int_(0)^(2)f(x)dx=12`

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