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:

= 2 x

Add a constant to the solution

= 2 x + C

\int \frac{1}{81 + 16 x ^{2}} d x

y^{^{'}} + y = sin (2 t)

\frac{\partial}{\partial y} (x y + yz)

x \to - 1 - lim (\frac{- 1}{x ^{2} - 1})

1 + x^{3}