What is the integral of sqrt(2px) ?

The integral of sqrt(2px) is sqrt(2)sqrt(p) 2/3 x^{3/2}+C

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integral of sqrt(2px)

\int 2 p x d x

2 p \frac{2}{3} x^{\frac{3}{2}} + C

Solution steps

\int 2 p x d x

Apply radical rule:

assuming

a \geq 0, b \geq 0

= \int 2 p x d x

Take the constant out:

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

= 2 \cdot \int p x d x

p x = p x

= 2 \cdot \int p x d x

Take the constant out:

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

= 2 p \cdot \int x d x

Apply the Power Rule

: \frac{2}{3} x^{\frac{3}{2}}

= 2 p \frac{2}{3} x^{\frac{3}{2}}

Add a constant to the solution

= 2 p \frac{2}{3} x^{\frac{3}{2}} + C

\frac{d}{d x} ((cos (2 x))^{x})

\int_{1}^{\infty} 2 e^{- 2 x} d x

13 x^{3}

\int (x^{2}) arcsin (x) d x

\frac{\partial}{\partial y} (\frac{4 x - 4 z}{y + 4 z})

What is the integral of sqrt(2px) ?
The integral of sqrt(2px) is sqrt(2)sqrt(p) 2/3 x^{3/2}+C