What is the integral from 1 to 5 of 1/(x-0) ?

The integral from 1 to 5 of 1/(x-0) is ln(5)

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integral from 1 to 5 of 1/(x-0)

\int_{1}^{5} \frac{1}{x - 0} d x

ln (5)

Decimal

1.60943 \dots

Solution steps

\int_{1}^{5} \frac{1}{x - 0} d x

Simplify

= \int_{1}^{5} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{1}^{5}

Compute the boundaries:

ln (5)

= ln (5)

What is the integral from 1 to 5 of 1/(x-0) ?
The integral from 1 to 5 of 1/(x-0) is ln(5)