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Solving integrals/ dx/sqrt(3x-2x^2)

Integral of dx/sqrt(3x-2x^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |         1          
 |  --------------- dx
 |     ____________   
 |    /          2    
 |  \/  3*x - 2*x     
 |                    
/                     
0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{- 2 x^{2} + 3 x}}\, dx$$ 
Integral(1/(sqrt(3*x - 2*x^2)), (x, 0, 1))
The answer [src] 
  1                     
  /                     
 |                      
 |          1           
 |  ----------------- dx
 |    ___   _________   
 |  \/ x *\/ 3 - 2*x    
 |                      
/                       
0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{x} \sqrt{3 - 2 x}}\, dx$$ 
=
= 
  1                     
  /                     
 |                      
 |          1           
 |  ----------------- dx
 |    ___   _________   
 |  \/ x *\/ 3 - 2*x    
 |                      
/                       
0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{x} \sqrt{3 - 2 x}}\, dx$$ 
Integral(1/(sqrt(x)*sqrt(3 - 2*x)), (x, 0, 1))
Numerical answer [src] 
1.35102171740575
1.35102171740575

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

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