Problem
\( \left.\int \sqrt[3]{x}-\sqrt[2]{x}\right) x d x \)
Solution
Step 1 ：\( \int x\sqrt[3]{x} dx - \int x\sqrt[2]{x} dx \)
Step 2 ：\( \frac{3}{4}x^\frac{7}{3} + C_1 - \frac{2}{5}x^\frac{5}{2} + C_2 \)
Step 3 ：\( \frac{3}{4}x^\frac{7}{3} - \frac{2}{5}x^\frac{5}{2} + C \)
