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

The integral of (2/(sqrt(x))) is 4sqrt(x)+C

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

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

4 x + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

= 4 x

Add a constant to the solution

= 4 x + C

\int_{1}^{\infty} \frac{7}{x ^{3}} d x

\frac{\partial}{\partial x} (\frac{1}{x - 2})

\int x^{3} x^{4} + 6 d x

n = 2 \sum \infty \frac{2}{n ^{2} - n}

\frac{d}{d x} (a + \frac{b}{r ( x ) ( x ) ^{2}})^{3}

What is the integral of (2/(sqrt(x))) ?
The integral of (2/(sqrt(x))) is 4sqrt(x)+C