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

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

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

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

2

Solution steps

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