What is the integral from 1 to 2 of 1/v ?

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

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integral from 1 to 2 of 1/v

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

ln (2)

Decimal

0.69314 \dots

Solution steps

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

Use the common integral:

\int \frac{1}{v} d v = ln (∣ v ∣)

= [ln ∣ v ∣]_{1}^{2}

Compute the boundaries:

ln (2)

= ln (2)

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