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  • Identical expressions

  • three *x/sqrt(five - four *x- four *x^ two)
  • 3 multiply by x divide by square root of (5 minus 4 multiply by x minus 4 multiply by x squared )
  • three multiply by x divide by square root of (five minus four multiply by x minus four multiply by x to the power of two)
  • 3*x/√(5-4*x-4*x^2)
  • 3*x/sqrt(5-4*x-4*x2)
  • 3*x/sqrt5-4*x-4*x2
  • 3*x/sqrt(5-4*x-4*x²)
  • 3*x/sqrt(5-4*x-4*x to the power of 2)
  • 3x/sqrt(5-4x-4x^2)
  • 3x/sqrt(5-4x-4x2)
  • 3x/sqrt5-4x-4x2
  • 3x/sqrt5-4x-4x^2
  • 3*x divide by sqrt(5-4*x-4*x^2)
  • 3*x/sqrt(5-4*x-4*x^2)dx

  • Similar expressions

  • 3*x/sqrt(5-4*x+4*x^2)
  • 3*x/sqrt(5+4*x-4*x^2)
Solving integrals/ 3*x/sqrt(5-4*x-4*x^2)

Integral of 3*x/sqrt(5-4*x-4*x^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                       
  /                       
 |                        
 |          3*x           
 |  ------------------- dx
 |     ________________   
 |    /              2    
 |  \/  5 - 4*x - 4*x     
 |                        
/                         
0
$$\int\limits_{0}^{1} \frac{3 x}{\sqrt{- 4 x^{2} + \left(5 - 4 x\right)}}\, dx$$ 
Integral((3*x)/sqrt(5 - 4*x - 4*x^2), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                 /                      
 |                                 |                       
 |         3*x                     |          x            
 | ------------------- dx = C + 3* | ------------------- dx
 |    ________________             |    ________________   
 |   /              2              |   /              2    
 | \/  5 - 4*x - 4*x               | \/  5 - 4*x - 4*x     
 |                                 |                       
/                                 /
$$\int \frac{3 x}{\sqrt{- 4 x^{2} + \left(5 - 4 x\right)}}\, dx = C + 3 \int \frac{x}{\sqrt{- 4 x^{2} - 4 x + 5}}\, dx$$
Simplify
The answer [src] 
    1                       
    /                       
   |                        
   |           x            
3* |  ------------------- dx
   |     ________________   
   |    /              2    
   |  \/  5 - 4*x - 4*x     
   |                        
  /                         
  0
$$3 \int\limits_{0}^{1} \frac{x}{\sqrt{- 4 x^{2} - 4 x + 5}}\, dx$$ 
=
= 
    1                       
    /                       
   |                        
   |           x            
3* |  ------------------- dx
   |     ________________   
   |    /              2    
   |  \/  5 - 4*x - 4*x     
   |                        
  /                         
  0
$$3 \int\limits_{0}^{1} \frac{x}{\sqrt{- 4 x^{2} - 4 x + 5}}\, dx$$ 
3*Integral(x/sqrt(5 - 4*x - 4*x^2), (x, 0, 1))
Numerical answer [src] 
(0.785897139272228 - 0.750567619144114j)
(0.785897139272228 - 0.750567619144114j)

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

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