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x(x-5)^1/2
Solving integrals/ x(x-5)^1/2

Integral of x(x-5)^1/2 dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |      _______   
 |  x*\/ x - 5  dx
 |                
/                 
0
$$\int\limits_{0}^{1} x \sqrt{x - 5}\, dx$$ 
Integral(x*sqrt(x - 5), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                   
 |                                5/2              3/2
 |     _______          2*(-5 + x)      10*(-5 + x)   
 | x*\/ x - 5  dx = C + ------------- + --------------
 |                            5               3       
/
$$\int x \sqrt{x - 5}\, dx = C + \frac{2 \left(x - 5\right)^{\frac{5}{2}}}{5} + \frac{10 \left(x - 5\right)^{\frac{3}{2}}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
                 ___
  208*I   20*I*\/ 5 
- ----- + ----------
    15        3
$$- \frac{208 i}{15} + \frac{20 \sqrt{5} i}{3}$$ 
=
= 
                 ___
  208*I   20*I*\/ 5 
- ----- + ----------
    15        3
$$- \frac{208 i}{15} + \frac{20 \sqrt{5} i}{3}$$ 
-208*i/15 + 20*i*sqrt(5)/3
Numerical answer [src] 
(0.0 + 1.04045318333193j)
(0.0 + 1.04045318333193j)
The graph
Integral of x(x-5)^1/2 dx

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

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