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

The integral from 2 to x of u^4 is (x^5-32)/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 2 to x of u^4

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

\frac{x ^{5} - 32}{5}

Solution steps

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

Apply the Power Rule

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

Compute the boundaries:

\frac{x ^{5}}{5} - \frac{32}{5}

= \frac{x ^{5}}{5} - \frac{32}{5}

Simplify

= \frac{x ^{5} - 32}{5}

What is the integral from 2 to x of u^4 ?
The integral from 2 to x of u^4 is (x^5-32)/5