What is the integral from 0.25 to 4 of 1/(sqrt(x)) ?

The integral from 0.25 to 4 of 1/(sqrt(x)) is 3

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integral from 0.25 to 4 of 1/(sqrt(x))

\int_{0.25}^{4} \frac{1}{x} d x

3

Solution steps

\int_{0.25}^{4} \frac{1}{x} d x

Apply the Power Rule

= [2 x^{\frac{1}{2}}]_{0.25}^{4}

Apply radical rule:

= [2 x]_{0.25}^{4}

Compute the boundaries:

3

= 3

What is the integral from 0.25 to 4 of 1/(sqrt(x)) ?
The integral from 0.25 to 4 of 1/(sqrt(x)) is 3