What is the integral from 5 to 11 of 1/(x-4) ?

The integral from 5 to 11 of 1/(x-4) is ln(7)

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integral from 5 to 11 of 1/(x-4)

\int_{5}^{11} \frac{1}{x - 4} d x

ln (7)

Decimal

1.94591 \dots

Solution steps

\int_{5}^{11} \frac{1}{x - 4} d x

Apply u-substitution

: \int_{1}^{7} \frac{1}{u} d u

= \int_{1}^{7} \frac{1}{u} d u

Use the common integral:

\int \frac{1}{u} d u = ln (∣ u ∣)

= [ln ∣ u ∣]_{1}^{7}

Compute the boundaries:

ln (7)

= ln (7)

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What is the integral from 5 to 11 of 1/(x-4) ?
The integral from 5 to 11 of 1/(x-4) is ln(7)