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Integral of sign(x^2+a^2-4) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
     ________                    
    /      2                     
  \/  9 - a                      
       /                         
      |                          
      |          / 2    2    \   
      |      sign\x  + a  - 4/ dx
      |                          
     /                           
    ________                     
   /      2                      
-\/  9 - a                       
$$\int\limits_{- \sqrt{9 - a^{2}}}^{\sqrt{9 - a^{2}}} \operatorname{sign}{\left(\left(a^{2} + x^{2}\right) - 4 \right)}\, dx$$
Integral(sign(x^2 + a^2 - 4), (x, -sqrt(9 - a^2), sqrt(9 - a^2)))
The answer [src]
     ________                    
    /      2                     
  \/  9 - a                      
       /                         
      |                          
      |          / 2    2    \   
      |      sign\x  + a  - 4/ dx
      |                          
     /                           
    ________                     
   /      2                      
-\/  9 - a                       
$$\int\limits_{- \sqrt{9 - a^{2}}}^{\sqrt{9 - a^{2}}} \operatorname{sign}{\left(\left(a^{2} + x^{2}\right) - 4 \right)}\, dx$$
=
=
     ________                    
    /      2                     
  \/  9 - a                      
       /                         
      |                          
      |          / 2    2    \   
      |      sign\x  + a  - 4/ dx
      |                          
     /                           
    ________                     
   /      2                      
-\/  9 - a                       
$$\int\limits_{- \sqrt{9 - a^{2}}}^{\sqrt{9 - a^{2}}} \operatorname{sign}{\left(\left(a^{2} + x^{2}\right) - 4 \right)}\, dx$$
Integral(sign(x^2 + a^2 - 4), (x, -sqrt(9 - a^2), sqrt(9 - a^2)))

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