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

The integral from-2 to 2 of ln(x+3) is 5ln(5)-4

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integral from-2 to 2 of ln(x+3)

\int_{- 2}^{2} ln (x + 3) d x

5 ln (5) - 4

Decimal Notation

4.04718 \dots

Solution steps

\int_{- 2}^{2} ln (x + 3) d x

Apply u-substitution

: \int_{1}^{5} ln (u) d u

= \int_{1}^{5} ln (u) d u

Apply Integration By Parts

: [u ln (u) - \int 1 d u]_{1}^{5}

= [u ln (u) - \int 1 d u]_{1}^{5}

\int 1 d u = u

= [u ln (u) - u]_{1}^{5}

Compute the boundaries:

5 ln (5) - 4

= 5 ln (5) - 4

\int 2 x e^{17 x} d x

\frac{\partial}{\partial s} (r^{2} + s^{2})

n = 5 \sum \infty tan (\frac{1}{n})

\frac{d}{d x} (2 x - 2 sin (x))

f (x) = x^{4} + 8 x^{2} - x, (1, 8)

What is the integral from-2 to 2 of ln(x+3) ?
The integral from-2 to 2 of ln(x+3) is 5ln(5)-4