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x/(16x^4+1)
Solving integrals/ x/(16x^4+1)

Integral of x/(16x^4+1) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
 oo             
  /             
 |              
 |      x       
 |  --------- dx
 |      4       
 |  16*x  + 1   
 |              
/               
0
$$\int\limits_{0}^{\infty} \frac{x}{16 x^{4} + 1}\, dx$$ 
Integral(x/(16*x^4 + 1), (x, 0, oo))
The answer (Indefinite) [src] 
  /                             
 |                        /   2\
 |     x              atan\4*x /
 | --------- dx = C + ----------
 |     4                  8     
 | 16*x  + 1                    
 |                              
/
$$\int \frac{x}{16 x^{4} + 1}\, dx = C + \frac{\operatorname{atan}{\left(4 x^{2} \right)}}{8}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
pi
--
16
$$\frac{\pi}{16}$$ 
=
= 
pi
--
16
$$\frac{\pi}{16}$$ 
pi/16
The graph
Integral of x/(16x^4+1) dx

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

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