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

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

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The graph:

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Piecewise:

The solution

You have entered [src] 
  1              
  /              
 |               
 |      1        
 |  x*------*1 dx
 |         3     
 |    1 + x      
 |               
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0
∫01x1x3+1⋅1 dx\int\limits_{0}^{1} x \frac{1}{x^{3} + 1} \cdot 1\, dx 
Integral(x*1/(1 + x^3), (x, 0, 1))
The answer (Indefinite) [src] 
                                                                /    ___           \
  /                                                     ___     |2*\/ 3 *(-1/2 + x)|
 |                                     /     2    \   \/ 3 *atan|------------------|
 |     1               log(1 + x)   log\1 + x  - x/             \        3         /
 | x*------*1 dx = C - ---------- + --------------- + ------------------------------
 |        3                3               6                        3               
 |   1 + x                                                                          
 |                                                                                  
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∫x1x3+1⋅1 dx=C−log⁡(x+1)3+log⁡(x2−x+1)6+3atan⁡(23(x−12)3)3\int x \frac{1}{x^{3} + 1} \cdot 1\, dx = C - \frac{\log{\left(x + 1 \right)}}{3} + \frac{\log{\left(x^{2} - x + 1 \right)}}{6} + \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} \left(x - \frac{1}{2}\right)}{3} \right)}}{3}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.901.0-1.0
Plot the graph f(x)
The answer [src] 
                ___
  log(2)   pi*\/ 3 
- ------ + --------
    3         9
−log⁡(2)3+3π9- \frac{\log{\left(2 \right)}}{3} + \frac{\sqrt{3} \pi}{9} 
=
= 
                ___
  log(2)   pi*\/ 3 
- ------ + --------
    3         9
−log⁡(2)3+3π9- \frac{\log{\left(2 \right)}}{3} + \frac{\sqrt{3} \pi}{9}
Упростить
Numerical answer [src] 
0.373550727891424
0.373550727891424
The graph
Integral of (x/(1+x^3))*dx dx

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

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