What is the integral from 1/10 to 11/10 of 1/x ?

The integral from 1/10 to 11/10 of 1/x is ln(11)

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integral from 1/10 to 11/10 of 1/x

\int_{\frac{1}{10}}^{\frac{11}{10}} \frac{1}{x} d x

ln (11)

Decimal Notation

2.39789 \dots

Solution steps

\int_{\frac{1}{10}}^{\frac{11}{10}} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{\frac{1}{10}}^{\frac{11}{10}}

Compute the boundaries:

ln (\frac{11}{10}) + ln (10)

= ln (\frac{11}{10}) + ln (10)

Simplify

= ln (11)

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What is the integral from 1/10 to 11/10 of 1/x ?
The integral from 1/10 to 11/10 of 1/x is ln(11)