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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