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

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |         x          
 |  --------------- dx
 |  (x + 2)*(x + 3)   
 |                    
/                     
0
∫01x(x+2)(x+3) dx\int\limits_{0}^{1} \frac{x}{\left(x + 2\right) \left(x + 3\right)}\, dx 
Integral(x/(((x + 2)*(x + 3))), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                    
 |                                                     
 |        x                                            
 | --------------- dx = C - 2*log(2 + x) + 3*log(3 + x)
 | (x + 2)*(x + 3)                                     
 |                                                     
/
∫x(x+2)(x+3) dx=C−2log⁡(x+2)+3log⁡(x+3)\int \frac{x}{\left(x + 2\right) \left(x + 3\right)}\, dx = C - 2 \log{\left(x + 2 \right)} + 3 \log{\left(x + 3 \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.9004
Plot the graph f(x)
The answer [src] 
-5*log(3) + 2*log(2) + 3*log(4)
−5log⁡(3)+2log⁡(2)+3log⁡(4)- 5 \log{\left(3 \right)} + 2 \log{\left(2 \right)} + 3 \log{\left(4 \right)} 
=
= 
-5*log(3) + 2*log(2) + 3*log(4)
−5log⁡(3)+2log⁡(2)+3log⁡(4)- 5 \log{\left(3 \right)} + 2 \log{\left(2 \right)} + 3 \log{\left(4 \right)} 
-5*log(3) + 2*log(2) + 3*log(4)
Numerical answer [src] 
0.052116001139014
0.052116001139014
The graph
Integral of xdx/((x+2)(x+3)) dx

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

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