Q.44 plz answer fast!

​Q44. Let f (x) be a polynomial of degree three such that f (0) = 1, f (1) = 2. If 0 is a critical point of f (x) which doesn't have local extremum at x = 0 then$\int \frac{\mathrm{f} \left(\mathrm{x}\right)}{\sqrt{{\mathrm{x}}^2 +7}}\mathrm{dx}$ =

    (A) $\frac{1}{3}{\left({\mathrm{x}}^2 +7\right)}^{\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.} -7{\left({\mathrm{x}}^2 +7\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.} + \log \left|\mathrm{x}+\sqrt{{\mathrm{x}}^2 +7}\right|+\mathrm{c}$

    (B) $\frac{1}{3}{\left({\mathrm{x}}^2 +7\right)}^{\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.} +7{\left({\mathrm{x}}^2 +7\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.} + \log \left|\mathrm{x}+\sqrt{{\mathrm{x}}^2 +7}\right|+\mathrm{c}$
    
     (C) $\frac{1}{3}{\left({\mathrm{x}}^2 +7\right)}^{\raisebox{1ex}{$3$}\!\left/ \!\raisebox{-1ex}{$2$}\right.} +7{\left({\mathrm{x}}^2 +7\right)}^{\raisebox{1ex}{$1$}\!\left/ \!\raisebox{-1ex}{$2$}\right.} - \log \left|\mathrm{x}+\sqrt{{\mathrm{x}}^2 +7}\right|+\mathrm{c}$          
    
     (D) none of these