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

The integral from 3 to 1 of x^2 is -26/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 3 to 1 of x^2

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

- \frac{26}{3}

Decimal

- 8.66666 \dots

Solution steps

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

\int_{a}^{b} f (x) d x = - \int_{b}^{a} f (x) d x, a < b

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

Apply the Power Rule

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

Compute the boundaries:

\frac{26}{3}

= - \frac{26}{3}

What is the integral from 3 to 1 of x^2 ?
The integral from 3 to 1 of x^2 is -26/3