Solve ∫ frac{sqrt{x^2+81}}{5x^2 wrt x

$$\int{ \frac{ \sqrt{ { x }^{ 2 } +81 } }{ 5 { x }^{ 2 } } }d x$$

Evaluate

$$\frac{\ln(|\sin(\frac{\arctan(\frac{x}{9})}{2})+\cos(\frac{\arctan(\frac{x}{9})}{2})|)}{5}-\frac{\ln(|\cos(\frac{\arctan(\frac{x}{9})}{2})-\sin(\frac{\arctan(\frac{x}{9})}{2})|)}{5}-\frac{\sqrt{x^{2}+81}}{5x}+С$$

Differentiate w.r.t. x

$$\frac{9\left(\left(x\sin(\frac{\arctan(\frac{x}{9})}{2})\right)^{2}+\left(x\cos(\frac{\arctan(\frac{x}{9})}{2})\right)^{2}+9\sqrt{x^{2}+81}\cos(\arctan(\frac{x}{9}))\right)}{5x^{2}\left(x^{2}+81\right)\cos(\arctan(\frac{x}{9}))}$$