Question

$$\displaystyle\int{ \frac{ 1 }{ 2 \sqrt{ x } (7+3 \sqrt{ x } ) } }d x$$

Evaluate

$\frac{\ln(3\sqrt{x}+7)}{3}+С$

Differentiate w.r.t. x

$\frac{1}{2\sqrt{x}\left(3\sqrt{x}+7\right)}$