What is the integral from 1 to 9 of sqrt((11)/x) ?

The integral from 1 to 9 of sqrt((11)/x) is 4sqrt(11)

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integral from 1 to 9 of sqrt((11)/x)

\int_{1}^{9} \frac{11}{x} d x

411

Decimal

13.26649 \dots

Solution steps

\int_{1}^{9} \frac{11}{x} d x

Apply Integration By Parts

: [\frac{11}{x} x - \int - \frac{11}{2 x ^{\frac{1}{2}}} d x]_{1}^{9}

= [\frac{11}{x} x - \int - \frac{11}{2 x ^{\frac{1}{2}}} d x]_{1}^{9}

\int - \frac{11}{2 x ^{\frac{1}{2}}} d x = - 11 x

= [\frac{11}{x} x - (- 11 x)]_{1}^{9}

Simplify

= [\frac{11}{x} x + 11 x]_{1}^{9}

Compute the boundaries:

411

= 411

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What is the integral from 1 to 9 of sqrt((11)/x) ?
The integral from 1 to 9 of sqrt((11)/x) is 4sqrt(11)