What is the integral from 2 to 3 of 21t^2 ?

The integral from 2 to 3 of 21t^2 is 133

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 2 to 3 of 21t^2

\int_{2}^{3} 21 t^{2} d t

133

Solution steps

\int_{2}^{3} 21 t^{2} d t

Take the constant out:

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

= 21 \cdot \int_{2}^{3} t^{2} d t

Apply the Power Rule

= 21 [\frac{t ^{3}}{3}]_{2}^{3}

Compute the boundaries:

\frac{19}{3}

= 21 \cdot \frac{19}{3}

Simplify

= 133

What is the integral from 2 to 3 of 21t^2 ?
The integral from 2 to 3 of 21t^2 is 133