What is the integral from 0 to 5 of ln(x) ?

The integral from 0 to 5 of ln(x) is 5ln(5)-5

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integral from 0 to 5 of ln(x)

\int_{0}^{5} ln (x) d x

5 ln (5) - 5

Decimal Notation

3.04718 \dots

Solution steps

\int_{0}^{5} ln (x) d x

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{0}^{5}

= [x ln (x) - \int 1 d x]_{0}^{5}

\int 1 d x = x

= [x ln (x) - x]_{0}^{5}

Compute the boundaries:

5 ln (5) - 5

= 5 ln (5) - 5

f (x) = x^{2} - 6, at x = - 5

x \to 0 lim (\frac{3 ^{x} - 1}{x ^{2}})

\frac{d}{d t} (9 t)

\frac{\partial}{\partial x} (9 x e^{x y})

\frac{d}{d x} (arctan (\frac{3 x}{2}))

What is the integral from 0 to 5 of ln(x) ?
The integral from 0 to 5 of ln(x) is 5ln(5)-5