What is the integral from 0 to 25 of 1/(sqrt(x)) ?

The integral from 0 to 25 of 1/(sqrt(x)) is 10

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integral from 0 to 25 of 1/(sqrt(x))

\int_{0}^{25} \frac{1}{x} d x

10

Solution steps

\int_{0}^{25} \frac{1}{x} d x

Apply the Power Rule

: [2 x^{\frac{1}{2}}]_{0}^{25}

= [2 x^{\frac{1}{2}}]_{0}^{25}

Apply radical rule:

a^{\frac{1}{n}} = n a

= [2 x]_{0}^{25}

Compute the boundaries:

10

= 10

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What is the integral from 0 to 25 of 1/(sqrt(x)) ?
The integral from 0 to 25 of 1/(sqrt(x)) is 10