Problem

\( \int(\sqrt[3]{x} \cdot \sqrt[2]{x}) x d x \)

Answer

Expert–verified
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Answer

\( = \frac{6}{11}x^{\frac{11}{6}} + C \)

Steps

Step 1 :\( = \int(x^{\frac{1}{3}} \cdot x^{\frac{1}{2}}) dx \)

Step 2 :\( = \int(x^{\frac{5}{6}}) dx \)

Step 3 :\( = \frac{6}{11}x^{\frac{11}{6}} + C \)

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