જો $f(x)$ એ $x$ માં દ્વિઘાત બહુપદી હોય કે જેથી $f(0)=3, f(1)=3, f(2)=-3$ થાય. તો,$\int \frac{f(x)}{x^3-1} d x=$

• A
  $\log \left(\frac{x^2+x+1}{|x-1|}\right)+\frac{1}{\sqrt{3}} \tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)+c$
• B
  $\log \left(\frac{x^2+x+1}{|x-1|}\right)-\frac{2}{\sqrt{3}} \tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)+c$
• C
  $\log \left(\frac{x^2+x+1}{|x-1|}\right)-\frac{1}{\sqrt{3}} \tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)+c$
• D
  $\log \left(\frac{x^2+x+1}{|x-1|}\right)+\frac{2}{\sqrt{3}} \tan ^{-1}\left(\frac{2 x+1}{\sqrt{3}}\right)+c$