What is the integral from 2 to 10 of (1/(sqrt(x))) ?

The integral from 2 to 10 of (1/(sqrt(x))) is 2sqrt(10)-2sqrt(2)

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integral from 2 to 10 of (1/(sqrt(x)))

\int_{2}^{10} (\frac{1}{x}) d x

210 - 22

Decimal

3.49612 \dots

Solution steps

\int_{2}^{10} \frac{1}{x} d x

Apply the Power Rule

: [2 x^{\frac{1}{2}}]_{2}^{10}

= [2 x^{\frac{1}{2}}]_{2}^{10}

Apply radical rule:

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

= [2 x]_{2}^{10}

Compute the boundaries:

210 - 22

= 210 - 22

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What is the integral from 2 to 10 of (1/(sqrt(x))) ?
The integral from 2 to 10 of (1/(sqrt(x))) is 2sqrt(10)-2sqrt(2)