Mister Exam

Other calculators

Solving integrals/ dx/sqrt(x^2+4x+13)

Integral of dx/sqrt(x^2+4x+13) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  2                      
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |     _______________   
 |    /  2               
 |  \/  x  + 4*x + 13    
 |                       
/                        
-2
$$\int\limits_{-2}^{2} \frac{1}{\sqrt{\left(x^{2} + 4 x\right) + 13}}\, dx$$ 
Integral(1/(sqrt(x^2 + 4*x + 13)), (x, -2, 2))
The answer [src] 
  2                      
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |     _______________   
 |    /       2          
 |  \/  13 + x  + 4*x    
 |                       
/                        
-2
$$\int\limits_{-2}^{2} \frac{1}{\sqrt{x^{2} + 4 x + 13}}\, dx$$ 
=
= 
  2                      
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |     _______________   
 |    /       2          
 |  \/  13 + x  + 4*x    
 |                       
/                        
-2
$$\int\limits_{-2}^{2} \frac{1}{\sqrt{x^{2} + 4 x + 13}}\, dx$$ 
Integral(1/sqrt(13 + x^2 + 4*x), (x, -2, 2))
Numerical answer [src] 
1.09861228866811
1.09861228866811

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

    © Mister Exam – Calculator