What is the integral from 3 to 10 of ln(x) ?

The integral from 3 to 10 of ln(x) is 10ln(10)-7-3ln(3)

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integral from 3 to 10 of ln(x)

\int_{3}^{10} ln (x) d x

10 ln (10) - 7 - 3 ln (3)

Decimal

12.73001 \dots

Solution steps

\int_{3}^{10} ln (x) d x

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{3}^{10}

= [x ln (x) - \int 1 d x]_{3}^{10}

\int 1 d x = x

= [x ln (x) - x]_{3}^{10}

Compute the boundaries:

10 ln (10) - 7 - 3 ln (3)

= 10 ln (10) - 7 - 3 ln (3)

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What is the integral from 3 to 10 of ln(x) ?
The integral from 3 to 10 of ln(x) is 10ln(10)-7-3ln(3)