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Solving integrals/ sqrt(2*p*x)

Integral of sqrt(2*p*x) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  p             
  -             
  2             
  /             
 |              
 |    _______   
 |  \/ 2*p*x  dx
 |              
/               
0
$$\int\limits_{0}^{\frac{p}{2}} \sqrt{2 p x}\, dx$$ 
Integral(sqrt((2*p)*x), (x, 0, p/2))
The answer (Indefinite) [src] 
  /                                   
 |                        ___      3/2
 |   _______          2*\/ 2 *(p*x)   
 | \/ 2*p*x  dx = C + ----------------
 |                          3*p       
/
$$\int \sqrt{2 p x}\, dx = C + \frac{2 \sqrt{2} \left(p x\right)^{\frac{3}{2}}}{3 p}$$
Simplify
The answer [src] 
    3/2
/ 2\   
\p /   
-------
  3*p
$$\frac{\left(p^{2}\right)^{\frac{3}{2}}}{3 p}$$ 
=
= 
    3/2
/ 2\   
\p /   
-------
  3*p
$$\frac{\left(p^{2}\right)^{\frac{3}{2}}}{3 p}$$ 
(p^2)^(3/2)/(3*p)

    Use the examples entering the upper and lower limits of integration.

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