What is the integral from 51 to 100 of 1/x ?

The integral from 51 to 100 of 1/x is 2ln(10)-ln(51)

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integral from 51 to 100 of 1/x

\int_{51}^{100} \frac{1}{x} d x

2 ln (10) - ln (51)

Decimal Notation

0.67334 \dots

Solution steps

\int_{51}^{100} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{51}^{100}

Compute the boundaries:

2 ln (10) - ln (51)

= 2 ln (10) - ln (51)

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What is the integral from 51 to 100 of 1/x ?
The integral from 51 to 100 of 1/x is 2ln(10)-ln(51)