What is the integral from 0.1 to 3 of ln(x) ?

The integral from 0.1 to 3 of ln(x) is 0.62609…

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integral from 0.1 to 3 of ln(x)

\int_{0.1}^{3} ln (x) d x

0.62609 \dots

Solution steps

\int_{0.1}^{3} ln (x) d x

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{0.1}^{3}

= [x ln (x) - \int 1 d x]_{0.1}^{3}

\int 1 d x = x

= [x ln (x) - x]_{0.1}^{3}

Compute the boundaries:

0.62609 \dots

= 0.62609 \dots

\int_{- 3}^{3} x^{5} d x

\int_{0}^{5} \frac{3}{5 - x} d x

\int_{1}^{3} 1 + t^{2} d t

\int_{0}^{1} \frac{2}{2 - r ^{2}} r d r

\int_{- 2}^{2} (x^{3} - x^{5}) d x

What is the integral from 0.1 to 3 of ln(x) ?
The integral from 0.1 to 3 of ln(x) is 0.62609…