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x/((x-2)(x+3))
Solving integrals/ x/((x-2)(x+3))

Integral of x/((x-2)(x+3)) dx

Limits of integration:

from to
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The graph:

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Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |         x          
 |  --------------- dx
 |  (x - 2)*(x + 3)   
 |                    
/                     
0
∫01x(x+3)(x−2) dx\int\limits_{0}^{1} \frac{x}{\left(x + 3\right) \left(x - 2\right)}\, dx 
Integral(x/(((x - 1*2)*(x + 3))), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                     
 |                                                      
 |        x                 2*log(-2 + x)   3*log(3 + x)
 | --------------- dx = C + ------------- + ------------
 | (x - 2)*(x + 3)                5              5      
 |                                                      
/
3 log⁡(x+3)5+2 log⁡(x−2)5{{3\,\log \left(x+3\right)}\over{5}}+{{2\,\log \left(x-2\right) }\over{5}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-0.500.25
Plot the graph f(x)
The answer [src] 
  3*log(3)   2*log(2)   3*log(4)
- -------- - -------- + --------
     5          5          5
3 log⁡45−3 log⁡35−2 log⁡25{{3\,\log 4}\over{5}}-{{3\,\log 3}\over{5}}-{{2\,\log 2}\over{5}} 
=
= 
  3*log(3)   2*log(2)   3*log(4)
- -------- - -------- + --------
     5          5          5
−3log⁡(3)5−2log⁡(2)5+3log⁡(4)5- \frac{3 \log{\left(3 \right)}}{5} - \frac{2 \log{\left(2 \right)}}{5} + \frac{3 \log{\left(4 \right)}}{5}
Simplify
Numerical answer [src] 
-0.10464962875291
-0.10464962875291
The graph
Integral of x/((x-2)(x+3)) dx

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

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