Final answer to the problem
$x+\frac{-x^2}{\pi \cdot 2}+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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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
$\int1dx+\int-\frac{1}{\pi }xdx$
Learn how to solve integrals of polynomial functions 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{-x^2}{\pi \cdot 2}. Gather the results of all integrals.
Final answer to the problem
$x+\frac{-x^2}{\pi \cdot 2}+C_0$
