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

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

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

\int_{- 1}^{1} \frac{1}{∣ x ∣} d x

diverges

Solution steps

\int_{- 1}^{1} \frac{1}{∣ x ∣} d x

Eliminate Absolutes

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

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

diverges

If part of the expression diverges, then entire expression diverges

= diverges

\int_{2}^{3} csc^{2} (3 x - 1) d x

\int_{1}^{2} \frac{x ^{2} - 1}{x ^{4}} d x

\int_{0}^{2} \frac{2}{x - 1} d x

\int_{0}^{4} (2 x + 1)^{\frac{1}{2}} d x

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