Final answer to the problem
$y^2+\frac{x^{3}}{3}-y+C_0$
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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
$\int2ydx+\int\left(x^2-1\right)dy$
Learn how to solve integrals of polynomial functions problems step by step online. Find the antiderivative of 2ydx+(x^2-1)dy. Find the integral. Expand the integral \int\left(x^2-1\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2ydx results in: y^2. The integral \int x^2dy results in: \frac{x^{3}}{3}.
Final answer to the problem
$y^2+\frac{x^{3}}{3}-y+C_0$
