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1/(x(x+2))
Solving integrals/ 1/(x(x+2))

Integral of 1/(x(x+2)) dx

Limits of integration:

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Piecewise:

The solution

You have entered [src] 
  1             
  /             
 |              
 |      1       
 |  --------- dx
 |  x*(x + 2)   
 |              
/               
0
∫011x(x+2) dx\int\limits_{0}^{1} \frac{1}{x \left(x + 2\right)}\, dx 
Integral(1/(x*(x + 2)), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                      
 |                                       
 |     1              log(x)   log(2 + x)
 | --------- dx = C + ------ - ----------
 | x*(x + 2)            2          2     
 |                                       
/
∫1x(x+2) dx=C+log⁡(x)2−log⁡(x+2)2\int \frac{1}{x \left(x + 2\right)}\, dx = C + \frac{\log{\left(x \right)}}{2} - \frac{\log{\left(x + 2 \right)}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-50005000
Plot the graph f(x)
The answer [src] 
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∞\infty 
=
= 
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∞\infty 
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Numerical answer [src] 
21.8424905129424
21.8424905129424
The graph
Integral of 1/(x(x+2)) dx

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

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