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Popular Pre Calculus >

integral of 1/(sqrt(x))

Solution

integral

Solution

2 x + C

Solution steps

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

Apply the Power Rule

= 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

Graph

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Frequently Asked Questions (FAQ)

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