What is the integral from 0 to 3 of-4x^2 ?

The integral from 0 to 3 of-4x^2 is -36

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-4x^2

\int_{0}^{3} - 4 x^{2} d x

- 36

Solution steps

\int_{0}^{3} - 4 x^{2} d x

Take the constant out:

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

= - 4 \cdot \int_{0}^{3} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{0}^{3}

= - 4 [\frac{x ^{3}}{3}]_{0}^{3}

Compute the boundaries:

9

= - 4 \cdot 9

Simplify

= - 36

\int_{2}^{6} \frac{1}{x} d x

\int_{0}^{1} 2 e^{6 x - 1} d x

\int_{10}^{x} \frac{- 1}{75} (x - 20) d x

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

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

What is the integral from 0 to 3 of-4x^2 ?
The integral from 0 to 3 of-4x^2 is -36