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Solving integrals/ 1/(2-x)(sqrt(1-x))

Integral of 1/(2-x)(sqrt(1-x)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |    _______   
 |  \/ 1 - x    
 |  --------- dx
 |    2 - x     
 |              
/               
0
∫011−x2−x dx\int\limits_{0}^{1} \frac{\sqrt{1 - x}}{2 - x}\, dx 
Integral(sqrt(1 - x)/(2 - x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                  
 |                                                   
 |   _______                                         
 | \/ 1 - x               _______         /  _______\
 | --------- dx = C - 2*\/ 1 - x  + 2*atan\\/ 1 - x /
 |   2 - x                                           
 |                                                   
/
∫1−x2−x dx=C−21−x+2atan⁡(1−x)\int \frac{\sqrt{1 - x}}{2 - x}\, dx = C - 2 \sqrt{1 - x} + 2 \operatorname{atan}{\left(\sqrt{1 - x} \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.01.0
Plot the graph f(x)
The answer [src] 
     pi
-2 + --
     2
−2+π2-2 + \frac{\pi}{2} 
=
= 
     pi
-2 + --
     2
−2+π2-2 + \frac{\pi}{2} 
-2 + pi/2
Numerical answer [src] 
0.429203673205103
0.429203673205103

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

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