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x√(x-1)
Solving integrals/ x√(x-1)

Integral of x√(x-1) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |      _______   
 |  x*\/ x - 1  dx
 |                
/                 
0
∫01xx−1 dx\int\limits_{0}^{1} x \sqrt{x - 1}\, dx 
Integral(x*sqrt(x - 1), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                  
 |                                3/2             5/2
 |     _______          2*(-1 + x)      2*(-1 + x)   
 | x*\/ x - 1  dx = C + ------------- + -------------
 |                            3               5      
/
∫xx−1 dx=C+2(x−1)525+2(x−1)323\int x \sqrt{x - 1}\, dx = C + \frac{2 \left(x - 1\right)^{\frac{5}{2}}}{5} + \frac{2 \left(x - 1\right)^{\frac{3}{2}}}{3}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9001
Plot the graph f(x)
The answer [src] 
4*I
---
 15
4i15\frac{4 i}{15} 
=
= 
4*I
---
 15
4i15\frac{4 i}{15} 
4*i/15
Numerical answer [src] 
(0.0 + 0.266666666666667j)
(0.0 + 0.266666666666667j)
The graph
Integral of x√(x-1) dx

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

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