What is the integral from-8 to 8 of ln(x+9) ?

The integral from-8 to 8 of ln(x+9) is 17ln(17)-16

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integral from-8 to 8 of ln(x+9)

\int_{- 8}^{8} ln (x + 9) d x

17 ln (17) - 16

Decimal

32.16462 \dots

Solution steps

\int_{- 8}^{8} ln (x + 9) d x

Apply u-substitution

: \int_{1}^{17} ln (u) d u

= \int_{1}^{17} ln (u) d u

Apply Integration By Parts

: [u ln (u) - \int 1 d u]_{1}^{17}

= [u ln (u) - \int 1 d u]_{1}^{17}

\int 1 d u = u

= [u ln (u) - u]_{1}^{17}

Compute the boundaries:

17 ln (17) - 16

= 17 ln (17) - 16

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What is the integral from-8 to 8 of ln(x+9) ?
The integral from-8 to 8 of ln(x+9) is 17ln(17)-16