What is the integral from 0 to 3 of (-x^2-3x) ?

The integral from 0 to 3 of (-x^2-3x) is -45/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

- \frac{45}{2}

Decimal Notation

- 22.5

Solution steps

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

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

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

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

Simplify

- 9 - \frac{27}{2} : - \frac{45}{2}

= - \frac{45}{2}

\int_{0}^{2} x + 3 x^{2} y^{2} d x

\int_{- 1}^{2} x^{2} + 1 - x d x

\int_{0}^{7} \frac{2}{( x + 2 ) ^{2}} d x

\int_{1}^{2} - x d x

\int_{- 1}^{1} (3 x^{3} + x cos (x) + 1) d x

What is the integral from 0 to 3 of (-x^2-3x) ?
The integral from 0 to 3 of (-x^2-3x) is -45/2