Question

ИНТЕГРАЛ ОТ:

Answer 1

$\int \frac{x^4}{x^3-x^2} dx=\int \left (x+1+\frac{x^2}{x^3-x^2}\right )dx=\\\\=\int\left (x+1+\frac{x^2}{x^2(x-1)}\right )dx=\int \left (x+1+\frac{1}{x-1}\right )dx=\\\\= \frac{x^2}{2} +x+ln|x-1|+C$