Solve ∫ frac{sqrt{x^2+y^2}}{x^2}

$$\int \frac { \sqrt { x ^ { 2 } + y ^ { 2 } } } { x ^ { 2 } }$$

Evaluate

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

Differentiate w.r.t. x

$$\frac{\left(\frac{y}{x}\right)^{2}\left(\cos(\arctan(\frac{x}{|y|}))|y|\sqrt{x^{2}+y^{2}}+\left(\sin(\frac{\arctan(\frac{x}{|y|})}{2})x\right)^{2}+\left(\cos(\frac{\arctan(\frac{x}{|y|})}{2})x\right)^{2}\right)}{\cos(\arctan(\frac{x}{|y|}))|y|\left(x^{2}+y^{2}\right)}$$