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(sqrt5(6-5x^2))
Solving integrals/ (sqrt5(6-5x^2))

Integral of (sqrt5(6-5x^2)) dx

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The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |              1   
 |            1*-   
 |              5   
 |  /       2\      
 |  \6 - 5*x /    dx
 |                  
/                   
0
$$\int\limits_{0}^{1} \left(- 5 x^{2} + 6\right)^{1 \cdot \frac{1}{5}}\, dx$$ 
Integral((6 - 5*x^2)^(1/5), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                              
 |                                                               
 |             1                                                 
 |           1*-                                                 
 |             5                    _  /          |    2  2*pi*I\
 | /       2\               5 ___  |_  |-1/5, 1/2 | 5*x *e      |
 | \6 - 5*x /    dx = C + x*\/ 6 * |   |          | ------------|
 |                                2  1 \   3/2    |      6      /
/
$$\int {\left(6-5\,x^2\right)^{{{1}\over{5}}}}{\;dx}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
        _                   
5 ___  |_  /-1/5, 1/2 |    \
\/ 6 * |   |          | 5/6|
      2  1 \   3/2    |    /
$$\int_{0}^{1}{\left(6-5\,x^2\right)^{{{1}\over{5}}}\;dx}$$ 
=
= 
        _                   
5 ___  |_  /-1/5, 1/2 |    \
\/ 6 * |   |          | 5/6|
      2  1 \   3/2    |    /
$$\sqrt[5]{6} {{}_{2}F_{1}\left(\begin{matrix} - \frac{1}{5}, \frac{1}{2} \\ \frac{3}{2} \end{matrix}\middle| {\frac{5}{6}} \right)}$$
Упростить
Numerical answer [src] 
1.32391033760212
1.32391033760212
The graph
Integral of (sqrt5(6-5x^2)) dx

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

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