What is the integral from 0 to 4 of x(sqrt(x)) ?

The integral from 0 to 4 of x(sqrt(x)) is 64/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 0 to 4 of x(sqrt(x))

\int_{0}^{4} x (x) d x

\frac{64}{5}

Decimal

12.8

Solution steps

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

Simplify

x x : x^{\frac{3}{2}}

= \int_{0}^{4} x^{\frac{3}{2}} d x

Apply the Power Rule

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

Compute the boundaries:

\frac{64}{5}

= \frac{64}{5}

What is the integral from 0 to 4 of x(sqrt(x)) ?
The integral from 0 to 4 of x(sqrt(x)) is 64/5