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Popular Calculus >

integral of x^2+xy

Solution

\int x^{2} + x y d y

Solution

x^{2} y + \frac{x y ^{2}}{2} + C

Solution steps

\int x^{2} + x y d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int x^{2} d y + \int x y d y

\int x^{2} d y = x^{2} y

\int x y d y = \frac{x y ^{2}}{2}

= x^{2} y + \frac{x y ^{2}}{2}

Add a constant to the solution

= x^{2} y + \frac{x y ^{2}}{2} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of x^2+xy ?
The integral of x^2+xy is x^2y+(xy^2)/2+C