What is the integral from 2 to 10 of ln(x) ?

The integral from 2 to 10 of ln(x) is ln(2500000000)-8

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integral from 2 to 10 of ln(x)

\int_{2}^{10} ln (x) d x

ln (2500000000) - 8

Decimal Notation

13.63955 \dots

Solution steps

\int_{2}^{10} ln (x) d x

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{2}^{10}

= [x ln (x) - \int 1 d x]_{2}^{10}

\int 1 d x = x

= [x ln (x) - x]_{2}^{10}

Compute the boundaries:

10 ln (10) - 8 - 2 ln (2)

= 10 ln (10) - 8 - 2 ln (2)

Simplify

= ln (2500000000) - 8

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What is the integral from 2 to 10 of ln(x) ?
The integral from 2 to 10 of ln(x) is ln(2500000000)-8