What is the integral from 4 to 14 of 1/x ?

The integral from 4 to 14 of 1/x is ln(7/2)

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integral from 4 to 14 of 1/x

\int_{4}^{14} \frac{1}{x} d x

ln (\frac{7}{2})

Decimal Notation

1.25276 \dots

Solution steps

\int_{4}^{14} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{4}^{14}

Compute the boundaries:

ln (14) - 2 ln (2)

= ln (14) - 2 ln (2)

Simplify

= ln (\frac{7}{2})

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What is the integral from 4 to 14 of 1/x ?
The integral from 4 to 14 of 1/x is ln(7/2)