What is the integral from 2 to e^3 of 1/x ?

The integral from 2 to e^3 of 1/x is 3-ln(2)

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integral from 2 to e^3 of 1/x

\int_{2}^{e^{3}} \frac{1}{x} d x

3 - ln (2)

Decimal

2.30685 \dots

Solution steps

\int_{2}^{e^{3}} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{2}^{e^{3}}

Compute the boundaries:

3 - ln (2)

= 3 - ln (2)

What is the integral from 2 to e^3 of 1/x ?
The integral from 2 to e^3 of 1/x is 3-ln(2)