What is the integral from 1 to e of ln(x) ?

The integral from 1 to e of ln(x) is 1

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integral from 1 to e of ln(x)

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

1

Solution steps

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

Apply Integration By Parts

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

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

\int 1 d x = x

= [x ln (x) - x]_{1}^{e}

Compute the boundaries:

1

= 1

\int \frac{3}{100 + 2 t} d t

\int_{0}^{1} 18 \frac{1}{x ^{p}} d x

y = x (1 - 2 x)^{3}, (1, - 1)

\frac{\partial}{\partial y} (x^{3} ln (y^{6}))

n \to \infty lim (n^{2} + 2)

What is the integral from 1 to e of ln(x) ?
The integral from 1 to e of ln(x) is 1