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  • Identical expressions

  • (x*arctg(x))/(one +x^ four)^(one / three)
  • (x multiply by arctg(x)) divide by (1 plus x to the power of 4) to the power of (1 divide by 3)
  • (x multiply by arctg(x)) divide by (one plus x to the power of four) to the power of (one divide by three)
  • (x*arctg(x))/(1+x4)(1/3)
  • x*arctgx/1+x41/3
  • (x*arctg(x))/(1+x⁴)^(1/3)
  • (xarctg(x))/(1+x^4)^(1/3)
  • (xarctg(x))/(1+x4)(1/3)
  • xarctgx/1+x41/3
  • xarctgx/1+x^4^1/3
  • (x*arctg(x)) divide by (1+x^4)^(1 divide by 3)
  • (x*arctg(x))/(1+x^4)^(1/3)dx

  • Similar expressions

  • (x*arctg(x))/(1-x^4)^(1/3)
Solving integrals/ (x*arctg(x))/(1+x^4)^(1/3)

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo               
  /               
 |                
 |   x*atan(x)    
 |  ----------- dx
 |     ________   
 |  3 /      4    
 |  \/  1 + x     
 |                
/                 
0
$$\int\limits_{0}^{\infty} \frac{x \operatorname{atan}{\left(x \right)}}{\sqrt[3]{x^{4} + 1}}\, dx$$
Simplify
The answer (Indefinite) [src] 
  /                       /              
 |                       |               
 |  x*atan(x)            |  x*atan(x)    
 | ----------- dx = C +  | ----------- dx
 |    ________           |    ________   
 | 3 /      4            | 3 /      4    
 | \/  1 + x             | \/  1 + x     
 |                       |               
/                       /
$$\int {{{x\,\arctan x}\over{\left(x^4+1\right)^{{{1}\over{3}}}}} }{\;dx}$$
Simplify
The answer [src] 
 oo               
  /               
 |                
 |   x*atan(x)    
 |  ----------- dx
 |     ________   
 |  3 /      4    
 |  \/  1 + x     
 |                
/                 
0
$$\int\limits_{0}^{\infty} \frac{x \operatorname{atan}{\left(x \right)}}{\sqrt[3]{x^{4} + 1}}\, dx$$ 
=
= 
 oo               
  /               
 |                
 |   x*atan(x)    
 |  ----------- dx
 |     ________   
 |  3 /      4    
 |  \/  1 + x     
 |                
/                 
0
$$\int\limits_{0}^{\infty} \frac{x \operatorname{atan}{\left(x \right)}}{\sqrt[3]{x^{4} + 1}}\, dx$$
Simplify

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

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