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4x^3/((x^8)+1)
Solving integrals/ 4x^3/((x^8)+1)

Integral of 4x^3/((x^8)+1) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
 oo          
  /          
 |           
 |      3    
 |   4*x     
 |  ------ dx
 |   8       
 |  x  + 1   
 |           
/            
0
$$\int\limits_{0}^{\infty} \frac{4 x^{3}}{x^{8} + 1}\, dx$$ 
Integral((4*x^3)/(x^8 + 1), (x, 0, oo))
The answer (Indefinite) [src] 
  /                        
 |                         
 |     3                   
 |  4*x                / 4\
 | ------ dx = C + atan\x /
 |  8                      
 | x  + 1                  
 |                         
/
$$\int \frac{4 x^{3}}{x^{8} + 1}\, dx = C + \operatorname{atan}{\left(x^{4} \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
pi
--
2
$$\frac{\pi}{2}$$ 
=
= 
pi
--
2
$$\frac{\pi}{2}$$ 
pi/2
The graph
Integral of 4x^3/((x^8)+1) dx

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

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