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Integral of 1/(x+y+1)^2 dy

Limits of integration:

from to
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The graph:

from to

Piecewise:

The solution

You have entered [src]
  0                
  /                
 |                 
 |       1         
 |  ------------ dy
 |             2   
 |  (x + y + 1)    
 |                 
/                  
1                  
$$\int\limits_{1}^{0} \frac{1}{\left(\left(x + y\right) + 1\right)^{2}}\, dy$$
Integral(1/((x + y + 1)^2), (y, 1, 0))
The answer (Indefinite) [src]
  /                               
 |                                
 |      1                    1    
 | ------------ dy = C - ---------
 |            2          1 + x + y
 | (x + y + 1)                    
 |                                
/                                 
$$\int \frac{1}{\left(\left(x + y\right) + 1\right)^{2}}\, dy = C - \frac{1}{x + y + 1}$$
The answer [src]
  1       1  
----- - -----
2 + x   1 + x
$$\frac{1}{x + 2} - \frac{1}{x + 1}$$
=
=
  1       1  
----- - -----
2 + x   1 + x
$$\frac{1}{x + 2} - \frac{1}{x + 1}$$
1/(2 + x) - 1/(1 + x)

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