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  • Identical expressions

  • dx/sqrt(twenty + five *x- two *x^ two)
  • dx divide by square root of (20 plus 5 multiply by x minus 2 multiply by x squared )
  • dx divide by square root of (twenty plus five multiply by x minus two multiply by x to the power of two)
  • dx/√(20+5*x-2*x^2)
  • dx/sqrt(20+5*x-2*x2)
  • dx/sqrt20+5*x-2*x2
  • dx/sqrt(20+5*x-2*x²)
  • dx/sqrt(20+5*x-2*x to the power of 2)
  • dx/sqrt(20+5x-2x^2)
  • dx/sqrt(20+5x-2x2)
  • dx/sqrt20+5x-2x2
  • dx/sqrt20+5x-2x^2
  • dx divide by sqrt(20+5*x-2*x^2)

  • Similar expressions

  • dx/sqrt(20+5*x+2*x^2)
  • dx/sqrt(20-5*x-2*x^2)
Solving integrals/ dx/sqrt(20+5*x-2*x^2)

Integral of dx/sqrt(20+5*x-2*x^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                        
  /                        
 |                         
 |           1             
 |  -------------------- dx
 |     _________________   
 |    /               2    
 |  \/  20 + 5*x - 2*x     
 |                         
/                          
0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{- 2 x^{2} + \left(5 x + 20\right)}}\, dx$$ 
Integral(1/(sqrt(20 + 5*x - 2*x^2)), (x, 0, 1))
The answer [src] 
  1                        
  /                        
 |                         
 |           1             
 |  -------------------- dx
 |     _________________   
 |    /         2          
 |  \/  20 - 2*x  + 5*x    
 |                         
/                          
0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{- 2 x^{2} + 5 x + 20}}\, dx$$ 
=
= 
  1                        
  /                        
 |                         
 |           1             
 |  -------------------- dx
 |     _________________   
 |    /         2          
 |  \/  20 - 2*x  + 5*x    
 |                         
/                          
0
$$\int\limits_{0}^{1} \frac{1}{\sqrt{- 2 x^{2} + 5 x + 20}}\, dx$$ 
Integral(1/sqrt(20 - 2*x^2 + 5*x), (x, 0, 1))
Numerical answer [src] 
0.214145176380188
0.214145176380188

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

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