Final answer to the problem
$\frac{1}{2}x^2+\frac{1}{2}y^2+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
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1
Find the integral
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$\int\left(x+2y\right)dy+\int-ydx$
Learn how to solve problems step by step online. Find the antiderivative of (x+2y)dy-ydx. Find the integral. Expand the integral \int\left(x+2y\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int xdy results in: \frac{1}{2}x^2. The integral \int2ydy results in: y^2.
Final answer to the problem
$\frac{1}{2}x^2+\frac{1}{2}y^2+C_0$
