What is the integral from 3 to 4 of 1/x ?

The integral from 3 to 4 of 1/x is 2ln(2)-ln(3)

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integral from 3 to 4 of 1/x

\int_{3}^{4} \frac{1}{x} d x

2 ln (2) - ln (3)

Decimal

0.28768 \dots

Solution steps

\int_{3}^{4} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{3}^{4}

Compute the boundaries:

2 ln (2) - ln (3)

= 2 ln (2) - ln (3)

What is the integral from 3 to 4 of 1/x ?
The integral from 3 to 4 of 1/x is 2ln(2)-ln(3)