What is the integral of 2/(3sqrt(x)) ?

The integral of 2/(3sqrt(x)) is 4/3 sqrt(x)+C

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integral of 2/(3sqrt(x))

\int \frac{2}{3 x} d x

\frac{4}{3} x + C

Solution steps

\int \frac{2}{3 x} d x

Take the constant out:

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

= \frac{2}{3} \cdot \int \frac{1}{x} d x

Apply the Power Rule

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

= \frac{2}{3} \cdot 2 x^{\frac{1}{2}}

Simplify

\frac{2}{3} \cdot 2 x^{\frac{1}{2}} : \frac{4}{3} x

= \frac{4}{3} x

Add a constant to the solution

= \frac{4}{3} x + C

x \to \frac{π}{2} lim (csc (x))

y = x - 1, (10, 3)

f (x) = 2 e^{0}

\int \frac{1}{cos ^{2} ( x ) 1 + tan ( x )} d x

\frac{\partial}{\partial x} (\frac{9 x}{y})

What is the integral of 2/(3sqrt(x)) ?
The integral of 2/(3sqrt(x)) is 4/3 sqrt(x)+C