Question

Решите интеграл: ∫dx/x^2+4x

Answer 1

$\int\ { \frac{1}{ x^{2} +4x+4-4} } \, dx = \int\ {\frac{1}{(x+2)^{2}-2^{2} } } \, dx= \frac{1}{4}\ln{| \frac{x-2}{x+2}| } +C$