What is the integral from-11 to-4 of 1/x ?

The integral from-11 to-4 of 1/x is 2ln(2)-ln(11)

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integral from-11 to-4 of 1/x

\int_{- 11}^{- 4} \frac{1}{x} d x

2 ln (2) - ln (11)

Decimal

- 1.01160 \dots

Solution steps

\int_{- 11}^{- 4} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{- 11}^{- 4}

Compute the boundaries:

2 ln (2) - ln (11)

= 2 ln (2) - ln (11)

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What is the integral from-11 to-4 of 1/x ?
The integral from-11 to-4 of 1/x is 2ln(2)-ln(11)