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Popular Calculus >

integral of (y-x)

Solution

\int (y - x) d x

Solution

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

Solution steps

\int y - x 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

Popular Examples

limit as x approaches-1 of (x^2-1)/(x-1)

xy^2(dy)/(dx)=y^3-x^2

(d^2)/(dx^2)(x^{6/7}+5x)

derivative of cos(5x^2-7x(10x-7))

Frequently Asked Questions (FAQ)

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