What is the integral from 2 to 14 of 1/(sqrt(x)) ?

The integral from 2 to 14 of 1/(sqrt(x)) is 2sqrt(14)-2sqrt(2)

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integral from 2 to 14 of 1/(sqrt(x))

\int_{2}^{14} \frac{1}{x} d x

214 - 22

Decimal Notation

4.65488 \dots

Solution steps

\int_{2}^{14} \frac{1}{x} d x

Apply the Power Rule

: [2 x^{\frac{1}{2}}]_{2}^{14}

= [2 x^{\frac{1}{2}}]_{2}^{14}

Apply radical rule:

= [2 x]_{2}^{14}

Compute the boundaries:

214 - 22

= 214 - 22

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What is the integral from 2 to 14 of 1/(sqrt(x)) ?
The integral from 2 to 14 of 1/(sqrt(x)) is 2sqrt(14)-2sqrt(2)