What is the integral from 1 to 3 of ln(9x) ?

The integral from 1 to 3 of ln(9x) is 7ln(3)-2

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integral from 1 to 3 of ln(9x)

\int_{1}^{3} ln (9 x) d x

7 ln (3) - 2

Decimal

5.69028 \dots

Solution steps

\int_{1}^{3} ln (9 x) d x

Apply Integration By Parts

= [x ln (9 x) - \int 1 d x]_{1}^{3}

\int 1 d x = x

= [x ln (9 x) - x]_{1}^{3}

Compute the boundaries:

7 ln (3) - 2

= 7 ln (3) - 2

What is the integral from 1 to 3 of ln(9x) ?
The integral from 1 to 3 of ln(9x) is 7ln(3)-2