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

The integral of 1/((sqrt(x))) is 2sqrt(x)+C

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integral of 1/((sqrt(x)))

\int \frac{1}{( x )} d x

2 x + C

Solution steps

\int \frac{1}{x} d x

Apply the Power Rule

: 2 x^{\frac{1}{2}}

= 2 x^{\frac{1}{2}}

Apply radical rule:

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

= 2 x

Add a constant to the solution

= 2 x + C

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What is the integral of 1/((sqrt(x))) ?
The integral of 1/((sqrt(x))) is 2sqrt(x)+C