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Solving integrals/ sqrt(x-y)

Integral of sqrt(x-y) dy

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  3             
  /             
 |              
 |    _______   
 |  \/ x - y  dy
 |              
/               
2
∫23x−y dy\int\limits_{2}^{3} \sqrt{x - y}\, dy
Simplify
The answer (Indefinite) [src] 
  /                               
 |                             3/2
 |   _______          2*(x - y)   
 | \/ x - y  dy = C - ------------
 |                         3      
/
−2 (x−y)323-{{2\,\left(x-y\right)^{{{3}\over{2}}}}\over{3}}
Simplify
The answer [src] 
            3/2             3/2
  2*(-3 + x)      2*(-2 + x)   
- ------------- + -------------
        3               3
x−2 (2 x−4)3−x−3 (2 x−6)3{{\sqrt{x-2}\,\left(2\,x-4\right)}\over{3}}-{{\sqrt{x-3}\,\left(2\, x-6\right)}\over{3}} 
=
= 
            3/2             3/2
  2*(-3 + x)      2*(-2 + x)   
- ------------- + -------------
        3               3
−2(x−3)323+2(x−2)323- \frac{2 \left(x - 3\right)^{\frac{3}{2}}}{3} + \frac{2 \left(x - 2\right)^{\frac{3}{2}}}{3}
Simplify

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

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