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(xdx)/(x^4+1)
Solving integrals/ (xdx)/(x^4+1)

Integral of (xdx)/(x^4+1) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1          
  /          
 |           
 |    x      
 |  ------ dx
 |   4       
 |  x  + 1   
 |           
/            
0
$$\int\limits_{0}^{1} \frac{x}{x^{4} + 1}\, dx$$ 
Integral(x/(x^4 + 1), (x, 0, 1))
The answer (Indefinite) [src] 
  /                        
 |                     / 2\
 |   x             atan\x /
 | ------ dx = C + --------
 |  4                 2    
 | x  + 1                  
 |                         
/
$$\int \frac{x}{x^{4} + 1}\, dx = C + \frac{\operatorname{atan}{\left(x^{2} \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
pi
--
8
$$\frac{\pi}{8}$$ 
=
= 
pi
--
8
$$\frac{\pi}{8}$$ 
pi/8
Numerical answer [src] 
0.392699081698724
0.392699081698724
The graph
Integral of (xdx)/(x^4+1) dx

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

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