Hãy tìm \(I = \int {\left( {2{x^2} - \dfrac{1}{{\sqrt[3]{x}}} - \dfrac{1}{{{{\cos }^2}x}}} \right)\,dx} \) trên khoảng \(\left( {0;\dfrac{\pi }{2}} \right)\).

A. \(I = \dfrac{2}{3}{x^3} + \dfrac{1}{3}{x^{ - \dfrac{2}{3}}} - \tan x + C\). 

B. \(I = \dfrac{2}{3}{x^3} - \dfrac{3}{2}{x^{\dfrac{2}{3}}} - \tan x + C\). 

C. \(I = \dfrac{2}{3}{x^3} - \dfrac{2}{3}\sqrt[3]{{{x^2}}} - \tan x + C\).  

D. \(I = \dfrac{2}{3}{x^3} - \dfrac{3}{2}{x^{\dfrac{2}{3}}} + \tan x + C\).