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Popular >

integral of x+y+z

Solution

\int x + y + z d x

Solution

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

Solution steps

\int x + y + z 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 z d x + \int x d x

\int y d x = y x

\int z d x = z x

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

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

Add a constant to the solution

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

Popular Examples

derivative of-2x^2+3x-4

\frac{d}{d x} (- 2 x^{2} + 3 x - 4)

(dy}{dx}=\frac{3y)/x ,x>0

\frac{d y}{d x} = \frac{3 y}{x}, x > 0

integral of 3/(xln(x))

\int \frac{3}{x ln ( x )} d x

derivative of (x^3/(39)+(13)/(4x))

\frac{d}{d x} (\frac{x ^{3}}{39} + \frac{13}{4 x})

derivative of f(x)= 2/(t^3)derivative of

f (x) = \frac{2}{t ^{3}}

Frequently Asked Questions (FAQ)

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