Final Answer
$x-\frac{53}{333}x^2+C_0$
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Step-by-step Solution
Problem to solve:
$\int\left(1-\frac{1}{\pi}x\right)dx$
Specify the solving method
1
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
$\int1dx+\int-\frac{1}{\pi}xdx$
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$\int1dx+\int-\frac{1}{\pi}xdx$
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
$x-\frac{53}{333}x^2+C_0$