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Popular Calculus >

integral of (x-y)

Solution

\int (x - y) d x

Solution

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

Solution steps

\int 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 y d x + \int x d x

\int y d x = y x

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

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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