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Popular >

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

Solution

\int_{- 1}^{1} \frac{∣ x ∣}{x} d x

Solution

0

Solution steps

\int_{- 1}^{1} \frac{∣ x ∣}{x} d x

Eliminate Absolutes

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

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

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

= - 1 + 1

Simplify

= 0

Graph

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Frequently Asked Questions (FAQ)

What is the integral from-1 to 1 of (|x|)/x ?
The integral from-1 to 1 of (|x|)/x is 0