What is the integral from 0 to 4 of 7x^2 ?

The integral from 0 to 4 of 7x^2 is 448/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 4 of 7x^2

\int_{0}^{4} 7 x^{2} d x

\frac{448}{3}

Decimal

149.33333 \dots

Solution steps

\int_{0}^{4} 7 x^{2} d x

Take the constant out:

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

= 7 \cdot \int_{0}^{4} x^{2} d x

Apply the Power Rule

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

= 7 [\frac{x ^{3}}{3}]_{0}^{4}

Compute the boundaries:

\frac{64}{3}

= 7 \cdot \frac{64}{3}

Simplify

= \frac{448}{3}

\int_{1}^{2} (ln (x)) d x

\int_{0}^{π} 6 sin (2 x) d x

\int_{0}^{1} (3 x^{e} + 5 e^{x}) d x

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

\int_{2}^{10} (\frac{1}{x}) d x

What is the integral from 0 to 4 of 7x^2 ?
The integral from 0 to 4 of 7x^2 is 448/3