What is the integral from 1 to 3 of sqrt(x-2) ?

The integral from 1 to 3 of sqrt(x-2) is 2/3+i 2/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from 1 to 3 of sqrt(x-2)

\int_{1}^{3} x - 2 d x

\frac{2}{3} + i \frac{2}{3}

Solution steps

\int_{1}^{3} x - 2 d x

Apply u-substitution

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

Apply the Power Rule

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

Compute the boundaries:

\frac{2}{3} + i \frac{2}{3}

= \frac{2}{3} + i \frac{2}{3}

What is the integral from 1 to 3 of sqrt(x-2) ?
The integral from 1 to 3 of sqrt(x-2) is 2/3+i 2/3