en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-x^2-2x

Solution

\int - x^{2} - 2 x d x

Solution

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

Solution steps

\int - x^{2} - 2 x 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^{2} d x - \int 2 x d x

\int x^{2} d x = \frac{x ^{3}}{3}

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

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

Add a constant to the solution

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

Popular Examples

integral of 1/(e^{6x)}

\int \frac{1}{e ^{6 x}} d x

(dP)/(dt)=50P-1/10 P

\frac{d P}{d t} = 50 P - \frac{1}{10} P

integral of (cos(2t))/2

\int \frac{cos ( 2 t )}{2} d t

derivative of (e^x/(e^x-1))

\frac{d}{d x} (\frac{e ^{x}}{e ^{x} - 1})

integral of ln(x^2+x)

\int ln (x^{2} + x) d x

Frequently Asked Questions (FAQ)

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