Evaluate the following indefinite integral: ${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(4x^2-\frac{1}{\sqrt[\phantom{2}]{x}}+\frac{3}{x})dx.$

Method?

$($a$)8x+\frac{1}{2\sqrt[\phantom{2}]{x^3}}-\frac{3}{x^2}+C$

$($b$)\frac{4}{3}{x}^3+\frac{1}{2}\sqrt[\phantom{2}]{x}+3ln|x|+C$

$($c$)\frac{4}{3}{x}^3-2\sqrt[\phantom{2}]{x}+3ln|x|+C$

$($d$)8x-2\sqrt[\phantom{2}]{x}-\frac{3}{x^2}+C$

$($e$)$ None of the above.