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Solving integrals/ dx/sqrt(4x^2+6x-7)

Integral of dx/sqrt(4x^2+6x-7) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  100                      
   /                       
  |                        
  |           1            
  |  ------------------- dx
  |     ________________   
  |    /    2              
  |  \/  4*x  + 6*x - 7    
  |                        
 /                         
-100
$$\int\limits_{-100}^{100} \frac{1}{\sqrt{\left(4 x^{2} + 6 x\right) - 7}}\, dx$$ 
Integral(1/(sqrt(4*x^2 + 6*x - 7)), (x, -100, 100))
The answer [src] 
  100                       
   /                        
  |                         
  |           1             
  |  -------------------- dx
  |     _________________   
  |    /         2          
  |  \/  -7 + 4*x  + 6*x    
  |                         
 /                          
-100
$$\int\limits_{-100}^{100} \frac{1}{\sqrt{4 x^{2} + 6 x - 7}}\, dx$$ 
=
= 
  100                       
   /                        
  |                         
  |           1             
  |  -------------------- dx
  |     _________________   
  |    /         2          
  |  \/  -7 + 4*x  + 6*x    
  |                         
 /                          
-100
$$\int\limits_{-100}^{100} \frac{1}{\sqrt{4 x^{2} + 6 x - 7}}\, dx$$ 
Integral(1/sqrt(-7 + 4*x^2 + 6*x), (x, -100, 100))
Numerical answer [src] 
(5.38049600001632 - 0.927664384159161j)
(5.38049600001632 - 0.927664384159161j)

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

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