Find the integral.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(2\sqrt[3]{x^4}-x^{-3})dx$

A$.\frac{6}{7}{x}^{\frac{7}{3}}+\frac{1}{2x^2}+C$

B$.\frac{4}{3}{x}^{\frac{7}{3}}-3x^{-2}+C$

C$.\frac{6}{7}{x}^{\frac{6}{7}}+\frac{1}{2x^2}+C$

D$.\frac{6}{7}{x}^{\frac{7}{3}}-2x^{-2}+C$