What is the integral from 0 to 2 of 5x^3 ?

The integral from 0 to 2 of 5x^3 is 20

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 2 of 5x^3

\int_{0}^{2} 5 x^{3} d x

20

Solution steps

\int_{0}^{2} 5 x^{3} d x

Take the constant out:

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

= 5 \cdot \int_{0}^{2} x^{3} d x

Apply the Power Rule

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

= 5 [\frac{x ^{4}}{4}]_{0}^{2}

Compute the boundaries:

4

= 5 \cdot 4

Simplify

= 20

\int_{0}^{2 π} 16 cos^{2} (x) d x

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

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

\int_{- 1}^{1} π (1 - y^{2})^{2} d y

\int_{0}^{4} 2 y d y

What is the integral from 0 to 2 of 5x^3 ?
The integral from 0 to 2 of 5x^3 is 20