Answer
$= x + \frac{3}{x} - \frac{5}{3x^{3}} + C$
Work Step by Step
$\int (\frac{x^{4}-3x^{2}+5}{x^{4}})dx$
$\int (\frac{x^{4}}{x^{4}} - \frac{3x^{2}}{x^{4}} + \frac{5}{x^{4}}) dx$
$\int (1 - \frac{3}{x^{2}} + 5x^{-4}) dx$
$\int (1 - 3x^{-2} + 5x^{-4}) dx$
$= x - \frac{3x^{-1}}{-1} + \frac{5x^{-3}}{-3} + C$
$= x + 3x^{-1} - \frac{5x^{-3}}{3} + C$
$= x + \frac{3}{x} - \frac{5}{3x^{3}} + C$
