What is the integral from 3 to 6 of sqrt(x-2) ?

The integral from 3 to 6 of sqrt(x-2) is 14/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 3 to 6 of sqrt(x-2)

\int_{3}^{6} x - 2 d x

\frac{14}{3}

Decimal

4.66666 \dots

Solution steps

\int_{3}^{6} x - 2 d x

Apply u-substitution

= \int_{1}^{4} u d u

Apply the Power Rule

= [\frac{2}{3} u^{\frac{3}{2}}]_{1}^{4}

Compute the boundaries:

\frac{14}{3}

= \frac{14}{3}

What is the integral from 3 to 6 of sqrt(x-2) ?
The integral from 3 to 6 of sqrt(x-2) is 14/3