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- Integrate by partial fractions
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$\int\left(x-y\right)dx+\int xdy$
Learn how to solve problems step by step online. Find the antiderivative of (x-y)dx+xdy. Find the integral. Expand the integral \int\left(x-y\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int xdx results in: \frac{1}{2}x^2. The integral \int-ydx results in: -\frac{1}{2}y^2.