Final answer to the problem
$\frac{x^{4}}{4}+\frac{-\left(y+1\right)^{3}}{3}+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
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- Exact Differential Equation
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1
Find the integral
$\int x^3dx+\int-\left(y+1\right)^2dy$
Learn how to solve integration techniques problems step by step online.
$\int x^3dx+\int-\left(y+1\right)^2dy$
Learn how to solve integration techniques problems step by step online. Find the antiderivative of x^3dx-(y+1)^2dy. Find the integral. The integral \int x^3dx results in: \frac{x^{4}}{4}. The integral \int-\left(y+1\right)^2dy results in: \frac{-\left(y+1\right)^{3}}{3}. Gather the results of all integrals.
Final answer to the problem
$\frac{x^{4}}{4}+\frac{-\left(y+1\right)^{3}}{3}+C_0$
