What is the integral from-4 to 2 of ln(x+5) ?

The integral from-4 to 2 of ln(x+5) is 7ln(7)-6

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integral from-4 to 2 of ln(x+5)

\int_{- 4}^{2} ln (x + 5) d x

7 ln (7) - 6

Decimal Notation

7.62137 \dots

Solution steps

\int_{- 4}^{2} ln (x + 5) d x

Apply u-substitution

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

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

Apply Integration By Parts

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

= [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

\int_{0}^{1} \frac{1}{e ^{x} - 1} d x

\int_{1}^{e} (18 + ln (x))^{2} d x

\int_{- 2}^{2} (10 x^{4} - x - 12) d x

\int_{0}^{3} 2 x^{4} d x

\int_{- 4}^{4} (x - 2) d x

What is the integral from-4 to 2 of ln(x+5) ?
The integral from-4 to 2 of ln(x+5) is 7ln(7)-6