What is the integral of (4/(sqrt(x))) ?

The integral of (4/(sqrt(x))) is 8sqrt(x)+C

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integral of (4/(sqrt(x)))

\int (\frac{4}{x}) d x

8 x + C

Solution steps

\int \frac{4}{x} d x

Take the constant out:

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

= 4 \cdot \int \frac{1}{x} d x

Apply the Power Rule

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

= 4 \cdot 2 x^{\frac{1}{2}}

Simplify

4 \cdot 2 x^{\frac{1}{2}} : 8 x

= 8 x

Add a constant to the solution

= 8 x + C

x \to 1 + lim ((ln (x))^{x - 1})

\frac{d}{d x} (8 x^{3} - 108 x^{2} + 480 x)

x \to 0 lim ((0.5)^{x})

y^{'} = y^{2}

\int \frac{x ( x - 1 )}{1 - x 2 - x} d x

What is the integral of (4/(sqrt(x))) ?
The integral of (4/(sqrt(x))) is 8sqrt(x)+C