What is the integral from-3 to 5 of 1/(|x-1|) ?

The integral from-3 to 5 of 1/(|x-1|) is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral from-3 to 5 of 1/(|x-1|)

\int_{- 3}^{5} \frac{1}{∣ x - 1 ∣} d x

diverges

Solution steps

\int_{- 3}^{5} \frac{1}{∣ x - 1 ∣} d x

Eliminate Absolutes

= \int_{- 3}^{1} \frac{1}{- x + 1} d x + \int_{1}^{5} \frac{1}{x - 1} d x

\int_{- 3}^{1} \frac{1}{- x + 1} d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

What is the integral from-3 to 5 of 1/(|x-1|) ?
The integral from-3 to 5 of 1/(|x-1|) is diverges