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

Limits of integration:

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Piecewise:

The solution

You have entered [src]
  1                              
  /                              
 |                               
 |              1                
 |  -------------------------- dx
 |           2/3     _________   
 |  (2*x + 1)    - \/ 2*x + 1    
 |                               
/                                
0                                
$$\int\limits_{0}^{1} \frac{1}{\left(2 x + 1\right)^{\frac{2}{3}} - \sqrt{2 x + 1}}\, dx$$
Integral(1/((2*x + 1)^(2/3) - sqrt(2*x + 1)), (x, 0, 1))
The answer [src]
  1                              
  /                              
 |                               
 |              1                
 |  -------------------------- dx
 |           2/3     _________   
 |  (1 + 2*x)    - \/ 1 + 2*x    
 |                               
/                                
0                                
$$\int\limits_{0}^{1} \frac{1}{\left(2 x + 1\right)^{\frac{2}{3}} - \sqrt{2 x + 1}}\, dx$$
=
=
  1                              
  /                              
 |                               
 |              1                
 |  -------------------------- dx
 |           2/3     _________   
 |  (1 + 2*x)    - \/ 1 + 2*x    
 |                               
/                                
0                                
$$\int\limits_{0}^{1} \frac{1}{\left(2 x + 1\right)^{\frac{2}{3}} - \sqrt{2 x + 1}}\, dx$$
Integral(1/((1 + 2*x)^(2/3) - sqrt(1 + 2*x)), (x, 0, 1))
Numerical answer [src]
132.018718665337
132.018718665337

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