Question

решите интегралы (x^3/4+x^2/3+x^1/2)/x

Answer 1

$int frac{x^{3/4}+x^{2/3}+x^{1/2}}{x}dx=int (x^{-1/4}+x^{-1/3}+x^{-1/2})dx=\\= frac{4x^{3/4}}{3} + frac{3x^{2/3}}{2} + 2x^{frac{1}{2}}+C$