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(x^3-1)^1/2
Solving integrals/ (x^3-1)^1/2

Integral of (x^3-1)^1/2 dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
  1               
  /               
 |                
 |     ________   
 |    /  3        
 |  \/  x  - 1  dx
 |                
/                 
0
$$\int\limits_{0}^{1} \sqrt{x^{3} - 1}\, dx$$ 
Integral(sqrt(x^3 - 1*1), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                      _                  
 |                                      |_  /-1/2, 1/3 |  3\
 |    ________          I*x*Gamma(1/3)* |   |          | x |
 |   /  3                              2  1 \   4/3    |   /
 | \/  x  - 1  dx = C + ------------------------------------
 |                                  3*Gamma(4/3)            
/
$$\int {\sqrt{x^3-1}}{\;dx}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
               _                 
              |_  /-1/2, 1/3 |  \
I*Gamma(1/3)* |   |          | 1|
             2  1 \   4/3    |  /
---------------------------------
           3*Gamma(4/3)
$$\int_{0}^{1}{\sqrt{x^3-1}\;dx}$$ 
=
= 
               _                 
              |_  /-1/2, 1/3 |  \
I*Gamma(1/3)* |   |          | 1|
             2  1 \   4/3    |  /
---------------------------------
           3*Gamma(4/3)
$$\frac{i \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{2}, \frac{1}{3} \\ \frac{4}{3} \end{matrix}\middle| {1} \right)}}{3 \Gamma\left(\frac{4}{3}\right)}$$
Упростить
Numerical answer [src] 
(0.0 + 0.841309263195273j)
(0.0 + 0.841309263195273j)
The graph
Integral of (x^3-1)^1/2 dx

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

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