What is the integral from-1 to 2 of ln(x+2) ?

The integral from-1 to 2 of ln(x+2) is 8ln(2)-3

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integral from-1 to 2 of ln(x+2)

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

8 ln (2) - 3

Decimal

2.54517 \dots

Solution steps

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

Apply u-substitution

= \int_{1}^{4} ln (u) d u

Apply Integration By Parts

= [u ln (u) - \int 1 d u]_{1}^{4}

\int 1 d u = u

= [u ln (u) - u]_{1}^{4}

Compute the boundaries:

8 ln (2) - 3

= 8 ln (2) - 3

What is the integral from-1 to 2 of ln(x+2) ?
The integral from-1 to 2 of ln(x+2) is 8ln(2)-3