What is the integral from-4 to 4 of 1/x ?

The integral from-4 to 4 of 1/x is diverges

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from-4 to 4 of 1/x

\int_{- 4}^{4} \frac{1}{x} d x

diverges

Solution steps

\int_{- 4}^{4} \frac{1}{x} d x

Find undefined (singularity) points:

x = 0

If exist

b, a < b < c, f (b) =

undefined

, \int_{a}^{c} f (x) d x = \int_{a}^{b} f (x) d x + \int_{b}^{c} f (x) d x

= \int_{- 4}^{0} \frac{1}{x} d x + \int_{0}^{4} \frac{1}{x} d x

\int_{- 4}^{0} \frac{1}{x} d x =

diverges

If part of the expression diverges, then entire expression diverges

= diverges

\int_{0}^{1} 5 x d x

\frac{\partial}{\partial x} (x^{4} + yz)

\frac{d}{d x} (x (x^{3} + 6)^{4})

\frac{1}{x - e}

x \to \infty lim (\frac{10}{x})

What is the integral from-4 to 4 of 1/x ?
The integral from-4 to 4 of 1/x is diverges