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

The integral from-2 to 2 of-2x^2 is -32/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-2 to 2 of-2x^2

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

- \frac{32}{3}

Decimal

- 10.66666 \dots

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{- 2}^{2}

= - 2 [\frac{x ^{3}}{3}]_{- 2}^{2}

Compute the boundaries:

\frac{16}{3}

= - 2 \cdot \frac{16}{3}

Simplify

= - \frac{32}{3}

\int_{1}^{e^{5}} \frac{4 ln ( x )}{x} d x

\int_{1}^{6} (\frac{6}{x} - e^{- x}) d x

\int_{0}^{2} π (x^{2} + 2 x + 1) d x

\int_{6}^{7} \frac{1}{7 - x} d x

\int_{0}^{x} t^{2} + 1 d t

What is the integral from-2 to 2 of-2x^2 ?
The integral from-2 to 2 of-2x^2 is -32/3