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Solving integrals/ √2px

Integral of √2px dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |    _______   
 |  \/ 2*p*x  dx
 |              
/               
0
$$\int\limits_{0}^{1} \sqrt{2 p x}\, dx$$ 
Integral(sqrt((2*p)*x), (x, 0, 1))
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] 
    ___   ___
2*\/ 2 *\/ p 
-------------
      3
$$\frac{2 \sqrt{2} \sqrt{p}}{3}$$ 
=
= 
    ___   ___
2*\/ 2 *\/ p 
-------------
      3
$$\frac{2 \sqrt{2} \sqrt{p}}{3}$$ 
2*sqrt(2)*sqrt(p)/3

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

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