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Popular >

integral of-x-2

Solution

\int - x - 2 d x

Solution

- \frac{x ^{2}}{2} - 2 x + C

Solution steps

\int - x - 2 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 x d x - \int 2 d x

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

\int 2 d x = 2 x

= - \frac{x ^{2}}{2} - 2 x

Add a constant to the solution

= - \frac{x ^{2}}{2} - 2 x + C

Popular Examples

derivative of f(x)=2xe^x+(x^2-14)*e^x derivative of

f (x) = 2 x e^{x} + (x^{2} - 14) \cdot e^{x}

limit as x approaches-2 of 1/(x^2-4)

x \to - 2 lim (\frac{1}{x ^{2} - 4})

integral of (1/(x^2)-1/(x^3))

\int (\frac{1}{x ^{2}} - \frac{1}{x ^{3}}) d x

derivative of (x^5/(5-x^4))

\frac{d}{d x} (\frac{x ^{5}}{5 - x ^{4}})

laplacetransform-2 laplace transform

- 2

Frequently Asked Questions (FAQ)

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