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

The integral from 1 to 4 of sqrt(1/x) is 2

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

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

2

Solution steps

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

Simplify

\frac{1}{x} : \frac{1}{x}

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

Simplify

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

Apply the Power Rule

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

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

Apply radical rule:

= [2 x]_{1}^{4}

Compute the boundaries:

2

= 2

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What is the integral from 1 to 4 of sqrt(1/x) ?
The integral from 1 to 4 of sqrt(1/x) is 2