Learn how to solve one-variable linear inequalities problems step by step online. Find the integral int((x^3-2x^(1/2))/x)dx. Expand the fraction \frac{x^3-2\sqrt{x}}{x} into 2 simpler fractions with common denominator x. Simplify the resulting fractions. Expand the integral \int\left(x^{2}-2x^{-\frac{1}{2}}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{2}dx results in: \frac{x^{3}}{3}.

Find the integral int((x^3-2x^(1/2))/x)dx