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Integral of (dx)/(sqrt(x^(2)+6x+10)) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src]
  1                      
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |     _______________   
 |    /  2               
 |  \/  x  + 6*x + 10    
 |                       
/                        
0                        
$$\int\limits_{0}^{1} \frac{1}{\sqrt{\left(x^{2} + 6 x\right) + 10}}\, dx$$
Integral(1/(sqrt(x^2 + 6*x + 10)), (x, 0, 1))
The answer [src]
  1                      
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |     _______________   
 |    /       2          
 |  \/  10 + x  + 6*x    
 |                       
/                        
0                        
$$\int\limits_{0}^{1} \frac{1}{\sqrt{x^{2} + 6 x + 10}}\, dx$$
=
=
  1                      
  /                      
 |                       
 |          1            
 |  ------------------ dx
 |     _______________   
 |    /       2          
 |  \/  10 + x  + 6*x    
 |                       
/                        
0                        
$$\int\limits_{0}^{1} \frac{1}{\sqrt{x^{2} + 6 x + 10}}\, dx$$
Integral(1/sqrt(10 + x^2 + 6*x), (x, 0, 1))
Numerical answer [src]
0.276266088029034
0.276266088029034

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