Mister Exam

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Integral of d{x}:
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Integral of 1/(x^2)-1
Integral of 1/((x^2-1)(x-1))
Integral of x*atan(x)/sqrt(1+x^2)
Identical expressions
(x^2dx)/(one +x^ six)
(x squared dx) divide by (1 plus x to the power of 6)
(x squared dx) divide by (one plus x to the power of six)
(x2dx)/(1+x6)
x2dx/1+x6
(x²dx)/(1+x⁶)
(x to the power of 2dx)/(1+x to the power of 6)
x^2dx/1+x^6
(x^2dx) divide by (1+x^6)
Similar expressions
x^2*dx/(1+x^6)
(x^2dx)/(1-x^6)

Integral of (x^2dx)/(1+x^6) dx

The solution

You have entered [src]

 oo          
  /          
 |           
 |     2     
 |    x      
 |  ------ dx
 |       6   
 |  1 + x    
 |           
/            
0

$$\int\limits_{0}^{\infty} \frac{x^{2}}{x^{6} + 1}\, dx$$

Integral(x^2/(1 + x^6), (x, 0, oo))

The answer (Indefinite) [src]

  /                        
 |                         
 |    2                / 3\
 |   x             atan\x /
 | ------ dx = C + --------
 |      6             3    
 | 1 + x                   
 |                         
/

$$\int \frac{x^{2}}{x^{6} + 1}\, dx = C + \frac{\operatorname{atan}{\left(x^{3} \right)}}{3}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

pi
--
6

$$\frac{\pi}{6}$$

pi
--
6

$$\frac{\pi}{6}$$

pi/6

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

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Identical expressions

Similar expressions

Integral of (x^2dx)/(1+x^6) dx

Limits of integration:

The graph:

Piecewise:

The solution