What is the integral from 2 to 10 of 1/x ?

The integral from 2 to 10 of 1/x is ln(5)

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integral from 2 to 10 of 1/x

\int_{2}^{10} \frac{1}{x} d x

ln (5)

Decimal

1.60943 \dots

Solution steps

\int_{2}^{10} \frac{1}{x} d x

Use the common integral:

\int \frac{1}{x} d x = ln (∣ x ∣)

= [ln ∣ x ∣]_{2}^{10}

Compute the boundaries:

ln (10) - ln (2)

= ln (10) - ln (2)

Simplify

= ln (5)

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n = 1 \sum \infty \frac{n + 5}{5 ^{n}}

\int_{0}^{1} \frac{x ^{6}}{x ^{7} - 1} d x

What is the integral from 2 to 10 of 1/x ?
The integral from 2 to 10 of 1/x is ln(5)