Question

Afla integrala din functia nedefinita: f(x)=x/(x^2-4)

Answer 1

[tex] \int\limits^ {} \, \frac{x}{x^2-4}dx = [/tex]

$x * \int\limits { \frac{1}{x^2-4} } \, dx$

$x * \int\limits { \frac{1}{x^2-(2)^2} } \, dx$

$x * \frac{1}{4}ln | \frac{x-2}{x+2} | + C$

$\frac{x}{4}ln | \frac{x-2}{x+2} | + C$