What is the integral from 5 to 11 of ln(x-5) ?

The integral from 5 to 11 of ln(x-5) is 6ln(6)-6

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integral from 5 to 11 of ln(x-5)

\int_{5}^{11} ln (x - 5) d x

6 ln (6) - 6

Decimal Notation

4.75055 \dots

Solution steps

\int_{5}^{11} ln (x - 5) d x

Apply u-substitution

: \int_{0}^{6} ln (u) d u

= \int_{0}^{6} ln (u) d u

Apply Integration By Parts

: [u ln (u) - \int 1 d u]_{0}^{6}

= [u ln (u) - \int 1 d u]_{0}^{6}

\int 1 d u = u

= [u ln (u) - u]_{0}^{6}

Compute the boundaries:

6 ln (6) - 6

= 6 ln (6) - 6

\int_{0}^{15} \frac{2}{5} x d x

\int_{- 4}^{0} - y^{2} - 4 y d y

\int_{1}^{6} 6 x + 1 d x

\int_{- 1}^{2} x^{2} (x^{3} + 2)^{2} d x

\int_{- 5}^{4} e^{x + 4} d x

What is the integral from 5 to 11 of ln(x-5) ?
The integral from 5 to 11 of ln(x-5) is 6ln(6)-6