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

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

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The solution

You have entered [src] 
 oo               
  /               
 |                
 |   1   1        
 |  x *------*1 dx
 |          3     
 |     1 + x      
 |                
/                 
0
∫0∞x1⋅1x3+1⋅1 dx\int\limits_{0}^{\infty} x^{1} \cdot \frac{1}{x^{3} + 1} \cdot 1\, dx 
Integral(x^1*1/(1 + x^3), (x, 0, oo))
The answer (Indefinite) [src] 
                                                                 /    ___           \
  /                                                      ___     |2*\/ 3 *(-1/2 + x)|
 |                                      /     2    \   \/ 3 *atan|------------------|
 |  1   1               log(1 + x)   log\1 + x  - x/             \        3         /
 | x *------*1 dx = C - ---------- + --------------- + ------------------------------
 |         3                3               6                        3               
 |    1 + x                                                                          
 |                                                                                   
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∫x1⋅1x3+1⋅1 dx=C−log⁡(x+1)3+log⁡(x2−x+1)6+3atan⁡(23(x−12)3)3\int x^{1} \cdot \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
0.001.000.100.200.300.400.500.600.700.800.900.5-0.5
Plot the graph f(x)
The answer [src] 
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2*pi*\/ 3 
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    9
23π9\frac{2 \sqrt{3} \pi}{9} 
=
= 
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2*pi*\/ 3 
----------
    9
23π9\frac{2 \sqrt{3} \pi}{9}
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The graph
Integral of (x^1)/(1+x^3)dx dx

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

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