What is the integral from-3 to 3 of ln(x+4) ?

The integral from-3 to 3 of ln(x+4) is 7ln(7)-6

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integral from-3 to 3 of ln(x+4)

\int_{- 3}^{3} ln (x + 4) d x

7 ln (7) - 6

Decimal

7.62137 \dots

Solution steps

\int_{- 3}^{3} ln (x + 4) d x

Apply u-substitution

= \int_{1}^{7} ln (u) d u

Apply Integration By Parts

= [u ln (u) - \int 1 d u]_{1}^{7}

\int 1 d u = u

= [u ln (u) - u]_{1}^{7}

Compute the boundaries:

7 ln (7) - 6

= 7 ln (7) - 6

What is the integral from-3 to 3 of ln(x+4) ?
The integral from-3 to 3 of ln(x+4) is 7ln(7)-6