What is the integral from 50 to 100 of 1/x ?

The integral from 50 to 100 of 1/x is ln(2)

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integral from 50 to 100 of 1/x

\int_{50}^{100} \frac{1}{x} d x

ln (2)

Decimal

0.69314 \dots

Solution steps

\int_{50}^{100} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{50}^{100}

Compute the boundaries:

2 ln (10) - ln (50)

= 2 ln (10) - ln (50)

Simplify

= ln (2)

What is the integral from 50 to 100 of 1/x ?
The integral from 50 to 100 of 1/x is ln(2)