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Popular >

integral of-x-3

Solution

\int - x - 3 d x

Solution

- \frac{x ^{2}}{2} - 3 x + C

Solution steps

\int - x - 3 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 3 d x

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

\int 3 d x = 3 x

= - \frac{x ^{2}}{2} - 3 x

Add a constant to the solution

= - \frac{x ^{2}}{2} - 3 x + C

Popular Examples

derivative of h(x)=(x^2-3)^3 derivative of

h (x) = (x^{2} - 3)^{3}

integral from-8 to 2 of 1/(sqrt(|2x|))

\int_{- 8}^{2} \frac{1}{∣ 2 x ∣} d x

d/(dy)(sin(2y))

\frac{d}{d y} (sin (2 y))

y^{'''}-y^{''}-16y^'+16y=0

y^{^{'''}} - y^{^{''}} - 16 y^{^{'}} + 16 y = 0

limit as x approaches 0 of (sin^5(x))/x

x \to 0 lim (\frac{sin ^{5} ( x )}{x})

Frequently Asked Questions (FAQ)

What is the integral of-x-3 ?
The integral of-x-3 is -(x^2)/2-3x+C