What is the integral from-1 to 3 of-x^3 ?

The integral from-1 to 3 of-x^3 is -20

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-1 to 3 of-x^3

\int_{- 1}^{3} - x^{3} d x

- 20

Solution steps

\int_{- 1}^{3} - x^{3} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= - \int_{- 1}^{3} x^{3} d x

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{- 1}^{3}

= - [\frac{x ^{4}}{4}]_{- 1}^{3}

Compute the boundaries:

20

= - 20

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

\int \frac{2}{9 + x ^{2}} d x

y = x + \frac{5}{x}

\frac{d}{d x} (- \frac{36}{x ^{4}})

\frac{d}{d x} (ln (3 x) - e^{- 2 x})

What is the integral from-1 to 3 of-x^3 ?
The integral from-1 to 3 of-x^3 is -20