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

The integral from 0 to 4 of 4x^2 is 256/3

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 4x^2

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

\frac{256}{3}

Decimal

85.33333 \dots

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Compute the boundaries:

\frac{64}{3}

= 4 \cdot \frac{64}{3}

Simplify

= \frac{256}{3}

\int_{- 7}^{7} x^{2} - 36 d x

\int_{0}^{2} (- 4 x^{4} + 8 x^{3}) d x

\int_{0}^{10} \frac{x}{9 + 4 x} d x

\int_{0}^{\frac{π}{4}} sin (x^{2}) d x

\int_{- 6}^{6} 6^{2} - x^{2} d x

What is the integral from 0 to 4 of 4x^2 ?
The integral from 0 to 4 of 4x^2 is 256/3