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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

implicit (dy)/(dx),(3xy+7)^2=6y implicit derivative

\frac{d y}{d x}, (3 x y + 7)^{2} = 6 y

integral of sec^2(θ)tan^2(θ)

\int sec^{2} (θ) tan^{2} (θ) d θ

y^{''}+6sqrt(2)y^'+18y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 62 y^{^{'}} + 18 y = 0, y (0) = 1, y^{^{'}} (0) = 0

integral from-1 to 1 of sqrt(4-x^2)

\int_{- 1}^{1} 4 - x^{2} d x

(dy)/(dx)=x(e+y)

\frac{d y}{d x} = x (e + y)

Frequently Asked Questions (FAQ)

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