Learn how to solve problems step by step online. Find the integral int((x^3-4)/(5x^3))dx. Take the constant \frac{1}{5} out of the integral. Expand the fraction \frac{x^3-4}{x^3} into 2 simpler fractions with common denominator x^3. Simplify the resulting fractions. Expand the integral \int\left(1+\frac{-4}{x^3}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.

Find the integral int((x^3-4)/(5x^3))dx