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** Step-by-step Solution **

Problem to solve:

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Expand the integral $\int\left(2-x^3\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

Learn how to solve integrals of rational functions problems step by step online.

$\int2dx+\int-x^3dx$

Learn how to solve integrals of rational functions problems step by step online. Integrate int(2-x^3)dx. Expand the integral \int\left(2-x^3\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2dx results in: 2x. The integral \int-x^3dx results in: \frac{-x^{4}}{4}. Gather the results of all integrals.

** Final Answer

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