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Popular >

integral of (x^2-xy)

Solution

\int (x^{2} - x y) d x

Solution

\frac{x ^{3}}{3} - \frac{y x ^{2}}{2} + C

Solution steps

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

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 x - \int y x d x

\int x^{2} d x = \frac{x ^{3}}{3}

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

= \frac{x ^{3}}{3} - \frac{y x ^{2}}{2}

Add a constant to the solution

= \frac{x ^{3}}{3} - \frac{y x ^{2}}{2} + C

Graph

Popular Examples

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(\partial)/(\partial y)(x*e^{xy})

\frac{\partial}{\partial y} (x \cdot e^{x y})

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(8 z + e^{- z^{2}})^{5}

sum from n=4 to infinity of (3^n)/(14^n)

n = 4 \sum \infty \frac{3 ^{n}}{1 4 ^{n}}

(\partial)/(\partial x)(x^2e^{xy})

\frac{\partial}{\partial x} (x^{2} e^{x y})

Frequently Asked Questions (FAQ)

What is the integral of (x^2-xy) ?
The integral of (x^2-xy) is (x^3)/3-(yx^2)/2+C