en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-3 to 0 of-x^2-3x

Solution

\int_{- 3}^{0} - x^{2} - 3 x d x

Solution

\frac{9}{2}

+1

Decimal Notation

4.5

Solution steps

\int_{- 3}^{0} - x^{2} - 3 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_{- 3}^{0} x^{2} d x - \int_{- 3}^{0} 3 x d x

\int_{- 3}^{0} x^{2} d x = 9

\int_{- 3}^{0} 3 x d x = - \frac{27}{2}

= - 9 - (- \frac{27}{2})

Simplify

- 9 - (- \frac{27}{2}) : \frac{9}{2}

= \frac{9}{2}

Popular Examples

integral of coth(x)

\int coth (x) d x

integral of (sqrt(t))/(t^3)

\int \frac{t}{t ^{3}} d t

limit as x approaches 0 of x/(1-cos(x))

x \to 0 lim (\frac{x}{1 - cos ( x )})

derivative of (2cos(2x+sin(3x)+3)^2)

\frac{d}{d x} ((2 cos (2 x) + sin (3 x) + 3)^{2})

derivative of y=(Ax^2)/(x^2-1)derivative of

y = \frac{A x ^{2}}{x ^{2} - 1}

Frequently Asked Questions (FAQ)

What is the integral from-3 to 0 of-x^2-3x ?
The integral from-3 to 0 of-x^2-3x is 9/2