What is the integral from 10 to 100 of 1/x ?

The integral from 10 to 100 of 1/x is ln(10)

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integral from 10 to 100 of 1/x

\int_{10}^{100} \frac{1}{x} d x

ln (10)

Decimal

2.30258 \dots

Solution steps

\int_{10}^{100} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{10}^{100}

Compute the boundaries:

ln (10)

= ln (10)

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What is the integral from 10 to 100 of 1/x ?
The integral from 10 to 100 of 1/x is ln(10)