Помогите найти неопределенный интеграл int(x+5)\(4+25x^2)dx

[latex] \int { \frac{x+5}{4+25x^2} } \, dx = \int { (\frac{x}{4+25x^2}+\frac{5}{4+25x^2}) } \, dx = \int { \frac{x}{4+25x^2} } \, dx +\int {\frac{5}{4+25x^2} } \, dx = \\ = \frac{1}{50} \int { \frac{1}{4+25x^2} } \, d(4+25x^2) +\int {\frac{1}{2^2+(5x)^2} } \, d(5x) = \\ =\frac{1}{50} \ln|4+25x^2|+ \frac{1}{2} arctg \frac{5x}{2} +C = \frac{1}{50} \ln(4+25x^2)+ \frac{1}{2} arctg \frac{5x}{2} +C[/latex]