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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

Graph

Popular Examples

integral of ycos((y^2)/(x^2))

\int y cos (\frac{y ^{2}}{x ^{2}}) d y

area x^2-43,5-2x area

x^{2} - 43, 5 - 2 x

integral of (x^2-8x-13)/((x-1)^2(x^2+1))

\int \frac{x ^{2} - 8 x - 13}{( x - 1 ) ^{2} ( x ^{2} + 1 )} d x

area 2x=y^2,x+y=4,x+y=12 area

2 x = y^{2}, x + y = 4, x + y = 12

derivative of xe^{xa}

\frac{d}{d x} (x e^{x a})

Frequently Asked Questions (FAQ)

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