What is the integral from 0 to 81 of 1/(sqrt(x)) ?

The integral from 0 to 81 of 1/(sqrt(x)) is 18

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integral from 0 to 81 of 1/(sqrt(x))

\int_{0}^{81} \frac{1}{x} d x

18

Solution steps

\int_{0}^{81} \frac{1}{x} d x

Apply the Power Rule

: [2 x^{\frac{1}{2}}]_{0}^{81}

= [2 x^{\frac{1}{2}}]_{0}^{81}

Apply radical rule:

= [2 x]_{0}^{81}

Compute the boundaries:

18

= 18

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What is the integral from 0 to 81 of 1/(sqrt(x)) ?
The integral from 0 to 81 of 1/(sqrt(x)) is 18