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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

integral of (1+x)/(sqrt(1-4x^2))

\int \frac{1 + x}{1 - 4 x ^{2}} d x

integral of 5/u

\int \frac{5}{u} d u

integral of (5sqrt(x))/2

\int \frac{5 x}{2} d x

integral of-4x^{-3}

\int - 4 x^{- 3} d x

integral of-3ln(-2x)

\int - 3 ln (- 2 x) d x

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