What is the integral from sqrt(2) to 2 of 1/x ?

The integral from sqrt(2) to 2 of 1/x is 1/2 ln(2)

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integral from sqrt(2) to 2 of 1/x

\int_{2}^{2} \frac{1}{x} d x

\frac{1}{2} ln (2)

Decimal

0.34657 \dots

Solution steps

\int_{2}^{2} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{2}^{2}

Compute the boundaries:

\frac{1}{2} ln (2)

= \frac{1}{2} ln (2)

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