Problem

\( \left.\int \sqrt[3]{x}-\sqrt[2]{x}\right) x d x \)

Answer

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Answer

\( \frac{3}{4}x^\frac{7}{3} - \frac{2}{5}x^\frac{5}{2} + C \)

Steps

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 :\( \frac{3}{4}x^\frac{7}{3} - \frac{2}{5}x^\frac{5}{2} + C \)

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