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

The integral from-4 to-1 of 1/x is -2ln(2)

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integral from-4 to-1 of 1/x

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

- 2 ln (2)

Decimal Notation

- 1.38629 \dots

Solution steps

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{- 4}^{- 1}

Compute the boundaries:

- 2 ln (2)

= - 2 ln (2)

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What is the integral from-4 to-1 of 1/x ?
The integral from-4 to-1 of 1/x is -2ln(2)