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arctg(2x)/(pi^2(4x^2+1))

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  • Integral of d{x}:
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  • Identical expressions

  • arctg(two x)/(pi^ two (4x^2+ one))
  • arctg(2x) divide by ( Pi squared (4x squared plus 1))
  • arctg(two x) divide by ( Pi to the power of two (4x squared plus one))
  • arctg(2x)/(pi2(4x2+1))
  • arctg2x/pi24x2+1
  • arctg(2x)/(pi²(4x²+1))
  • arctg(2x)/(pi to the power of 2(4x to the power of 2+1))
  • arctg2x/pi^24x^2+1
  • arctg(2x) divide by (pi^2(4x^2+1))
  • arctg(2x)/(pi^2(4x^2+1))dx

  • Similar expressions

  • arctg(2x)/(pi^2(4x^2-1))
Solving integrals/ arctg(2x)/(pi^2(4x^2+1))

Integral of arctg(2x)/(pi^2(4x^2+1)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

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

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