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

The integral from 2 to 4 of 3x^3 is 180

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 2 to 4 of 3x^3

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

180

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

= 3 [\frac{x ^{4}}{4}]_{2}^{4}

Compute the boundaries:

60

= 3 \cdot 60

Simplify

= 180

\int_{0}^{1} 1 + 4 x d x

\int_{2}^{3} \frac{1}{x + 1} d x

\int_{0}^{1} e^{e^{x}} e^{x} d x

\int_{0}^{\frac{π}{6}} 2 cos (3 x) d x

\int_{y}^{2} sin (\frac{π x}{2 y}) d x

What is the integral from 2 to 4 of 3x^3 ?
The integral from 2 to 4 of 3x^3 is 180