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dx/(1+x^(2/3))
Solving integrals/ dx/(1+x^(2/3))

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

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1              
  /              
 |               
 |       1       
 |  1*-------- dx
 |         2/3   
 |    1 + x      
 |               
/                
0
$$\int\limits_{0}^{1} 1 \cdot \frac{1}{x^{\frac{2}{3}} + 1}\, dx$$ 
Integral(1/(1 + x^(2/3)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                           
 |                                            
 |      1                    /3 ___\     3 ___
 | 1*-------- dx = C - 3*atan\\/ x / + 3*\/ x 
 |        2/3                                 
 |   1 + x                                    
 |                                            
/
$$\int 1 \cdot \frac{1}{x^{\frac{2}{3}} + 1}\, dx = C + 3 \sqrt[3]{x} - 3 \operatorname{atan}{\left(\sqrt[3]{x} \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
    3*pi
3 - ----
     4
$$3 - \frac{3 \pi}{4}$$ 
=
= 
    3*pi
3 - ----
     4
$$3 - \frac{3 \pi}{4}$$
Упростить
Numerical answer [src] 
0.643805509807655
0.643805509807655
The graph
Integral of dx/(1+x^(2/3)) dx

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

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