What is the integral from-10 to 10 of ln(x+11) ?

The integral from-10 to 10 of ln(x+11) is 21ln(21)-20

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integral from-10 to 10 of ln(x+11)

\int_{- 10}^{10} ln (x + 11) d x

21 ln (21) - 20

Decimal

43.93497 \dots

Solution steps

\int_{- 10}^{10} ln (x + 11) d x

Apply u-substitution

: \int_{1}^{21} ln (u) d u

= \int_{1}^{21} ln (u) d u

Apply Integration By Parts

: [u ln (u) - \int 1 d u]_{1}^{21}

= [u ln (u) - \int 1 d u]_{1}^{21}

\int 1 d u = u

= [u ln (u) - u]_{1}^{21}

Compute the boundaries:

21 ln (21) - 20

= 21 ln (21) - 20

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What is the integral from-10 to 10 of ln(x+11) ?
The integral from-10 to 10 of ln(x+11) is 21ln(21)-20