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

The integral from 81 to v of 1/(sqrt(v)) is 2sqrt(v)-18

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integral from 81 to v of 1/(sqrt(v))

\int_{81}^{v} \frac{1}{v} d v

2 v - 18

Solution steps

\int_{81}^{v} \frac{1}{v} d v

Apply the Power Rule

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

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

Apply radical rule:

= [2 v]_{81}^{v}

Compute the boundaries:

2 v - 18

= 2 v - 18

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What is the integral from 81 to v of 1/(sqrt(v)) ?
The integral from 81 to v of 1/(sqrt(v)) is 2sqrt(v)-18