What is the integral from-3 to-1 of 1/x ?

The integral from-3 to-1 of 1/x is -ln(3)

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integral from-3 to-1 of 1/x

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

- ln (3)

Decimal

- 1.09861 \dots

Solution steps

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

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{- 3}^{- 1}

Compute the boundaries:

- ln (3)

= - ln (3)

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