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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-2 to 0 of-x^3

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

4

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: [\frac{x ^{4}}{4}]_{- 2}^{0}

= - [\frac{x ^{4}}{4}]_{- 2}^{0}

Compute the boundaries:

- 4

= - (- 4)

Simplify

= 4

\int_{- π}^{π} cos^{4} (x) d x

\int_{0}^{1} x^{3} + x^{2} - 2 x d x

\int_{0}^{3} (x - 3)^{2} d x

\int_{1}^{3} (x + 1)^{4} d x

\int_{2}^{7} \frac{x}{x ^{2} + 1} d x