What is the integral of 1/(2*sqrt(x)) ?

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

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integral of 1/(2*sqrt(x))

\int \frac{1}{2 \cdot x} d x

x + C

Solution steps

\int \frac{1}{2 x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{2} \cdot \int \frac{1}{x} d x

Apply the Power Rule

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

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

Simplify

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

= x

Add a constant to the solution

= x + C

\frac{1}{x + 3}

e^{- 3 t} cos (2 t)

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\frac{\partial}{\partial y} (x^{2 y})

\frac{d ^{2}}{d x ^{2}} (5 x^{4} - 5 x^{2} + 7)

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