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(x-7)(x+1)^(1/3)

Integral of (x-7)(x+1)^(1/3) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

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  1                     
  /                     
 |                      
 |          3 _______   
 |  (x - 7)*\/ x + 1  dx
 |                      
/                       
0                       
$$\int\limits_{0}^{1} \sqrt[3]{x + 1} \left(x - 7\right)\, dx$$
Integral((x - 1*7)*(x + 1)^(1/3), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                      
 |                                                    7/3
 |         3 _______                   4/3   3*(1 + x)   
 | (x - 7)*\/ x + 1  dx = C - 6*(1 + x)    + ------------
 |                                                7      
/                                                        
$${{3\,\left(\left(x+1\right)^{{{7}\over{3}}}-14\,\left(x+1\right)^{ {{4}\over{3}}}\right)}\over{7}}$$
The graph
The answer [src]
        3 ___
39   72*\/ 2 
-- - --------
7       7    
$${{39}\over{7}}-{{9\,2^{{{10}\over{3}}}}\over{7}}$$
=
=
        3 ___
39   72*\/ 2 
-- - --------
7       7    
$$- \frac{72 \cdot \sqrt[3]{2}}{7} + \frac{39}{7}$$
Numerical answer [src]
-7.38775937034727
-7.38775937034727
The graph
Integral of (x-7)(x+1)^(1/3) dx

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