Find
\[ \int \frac{3x^{4} - 4}{2x^{3}} \, dx \]
Writing your answer in simplest form.
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SOLUTION:
\[ \begin{aligned} \int \frac{3x^{4} - 4}{2x^{3}} \, dx &= \int \left( \frac{3}{2}x - 2x^{-3} \right) dx \\ \\ &= \frac{3}{4}x^{2} + x^{-2} + C \\ \\ \therefore \; \int \frac{3x^{4} - 4}{2x^{3}} \, dx &= \underline{\underline{\frac{3}{4}x^{2} + \frac{1}{x^{2}} + C}} \end{aligned} \] \[ \ \] Just don't forget to include the constant, C after integrating, since this is an indefinite integral.