** Final Answer

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** Step-by-step Solution **

Problem to solve:

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Expand the integral $\int\left(1-\frac{1}{\pi}x\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately

Learn how to solve differential equations problems step by step online.

$\int1dx+\int-\frac{1}{\pi}xdx$

Learn how to solve differential equations problems step by step online. Integrate int(1-1/pix)dx. Expand the integral \int\left(1-\frac{1}{\pi}x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int1dx results in: x. The integral \int-\frac{1}{\pi}xdx results in: -\frac{53}{333}x^2. Gather the results of all integrals.

** Final Answer

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