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Popular >

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

Popular Examples

limit as x approaches infinity of x^3sin(1/x)

x \to \infty lim (x^{3} sin (\frac{1}{x}))

derivative of arctan(6y^5+1)derivative of

arctan (6 y^{5} + 1)

(\partial)/(\partial x)(y^2cos(yx))

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

integral of 2xsqrt(x-1)

\int 2 x x - 1 d x

derivative of x(3-2x^5)

\frac{d}{d x} (x (3 - 2 x)^{5})

Frequently Asked Questions (FAQ)

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