What is the integral from 2 to 7 of ln(x) ?

The integral from 2 to 7 of ln(x) is 7ln(7)-5-2ln(2)

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integral from 2 to 7 of ln(x)

\int_{2}^{7} ln (x) d x

7 ln (7) - 5 - 2 ln (2)

Decimal

7.23507 \dots

Solution steps

\int_{2}^{7} ln (x) d x

Apply Integration By Parts

: [x ln (x) - \int 1 d x]_{2}^{7}

= [x ln (x) - \int 1 d x]_{2}^{7}

\int 1 d x = x

= [x ln (x) - x]_{2}^{7}

Compute the boundaries:

7 ln (7) - 5 - 2 ln (2)

= 7 ln (7) - 5 - 2 ln (2)

\int_{0}^{9} x^{\frac{1}{2}} d x

\int_{- 2}^{2} 2 x^{2} - 8 d x

\int_{2}^{3} x d x

\int_{0}^{1} \frac{x ( - x ^{2} + 1 ) ^{\frac{3}{2}}}{3} d x

\int_{- 1}^{1} x^{\frac{2}{3}} d x

What is the integral from 2 to 7 of ln(x) ?
The integral from 2 to 7 of ln(x) is 7ln(7)-5-2ln(2)