Question

ИНТЕГРАЛ ОТ: $frac{ x^{4}dx }{ x^{3} - x^{2} }$

Answer 1

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