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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2           
  /           
 |            
 |     x      
 |  ------- dx
 |   4        
 |  x  + 16   
 |            
/             
0
$$\int\limits_{0}^{2} \frac{x}{x^{4} + 16}\, dx$$ 
Integral(x/(x^4 + 16), (x, 0, 2))
The answer (Indefinite) [src] 
                        / 2\
  /                     |x |
 |                  atan|--|
 |    x                 \4 /
 | ------- dx = C + --------
 |  4                  8    
 | x  + 16                  
 |                          
/
$$\int \frac{x}{x^{4} + 16}\, dx = C + \frac{\operatorname{atan}{\left(\frac{x^{2}}{4} \right)}}{8}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
pi
--
32
$$\frac{\pi}{32}$$ 
=
= 
pi
--
32
$$\frac{\pi}{32}$$ 
pi/32
Numerical answer [src] 
0.098174770424681
0.098174770424681

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

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