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

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

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integral from 1 to 3 of 9ln(x)

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

9 (3 ln (3) - 2)

Decimal

11.66253 \dots

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Apply Integration By Parts

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

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

\int 1 d x = x

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

Compute the boundaries:

3 ln (3) - 2

= 9 (3 ln (3) - 2)

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