0965b0…: “Despite the green lake”

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Compute the following indefinite integral:

(Use $C$ for the constant of integration)

\[ \int 5x^3-\frac {3}{x}+\frac {1}{2 \sqrt [3]{x}} \d x \begin{prompt}=\answer {\frac {5}{4}x^4-3 \ln |x| +\frac {3}{4}x^{\frac {2}{3}}+C}\end{prompt} \]