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If f(x) is a polynomial of degree three...

If `f(x)` is a polynomial of degree three such that `f(0) = 1, f(1) = 2 and 0` is a `f (x)` critical point but `f(x)` does not have extremum at 0, then `int (f(x))/(sqrt(x^2+7)) dx` is

A

`(1)/(3)(x^(2)+7)^(3//2)-7(x^(2)+7)^(1//2)+log|x+sqrt(x^(2)+7)|+c`

B

`(1)/(2)(x^(2)+7)^(3//2)+7(x^(2)+7)^(1//2)+log|x+sqrt(x^(2)+7|+C`

C

`(1)/(3)(x^(2)+7)^(3//2)+7(x^(2)+7)^(1/7)-log|x+sqrt(x^(2)+7)|+c`

D

none of these

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The correct Answer is:
A
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