What is the integral from-1 to 3 of-x^2 ?

The integral from-1 to 3 of-x^2 is -28/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from-1 to 3 of-x^2

\int_{- 1}^{3} - x^{2} d x

- \frac{28}{3}

Decimal

- 9.33333 \dots

Solution steps

\int_{- 1}^{3} - x^{2} d x

Take the constant out:

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

= - \int_{- 1}^{3} x^{2} d x

Apply the Power Rule

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

Compute the boundaries:

\frac{28}{3}

= - \frac{28}{3}

What is the integral from-1 to 3 of-x^2 ?
The integral from-1 to 3 of-x^2 is -28/3