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Integral of ((3x-1)2x)/((2x-1)(x+3)) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src]
  1                     
  /                     
 |                      
 |    (3*x - 1)*2*x     
 |  ----------------- dx
 |  (2*x - 1)*(x + 3)   
 |                      
/                       
0                       
$$\int\limits_{0}^{1} \frac{x 2 \left(3 x - 1\right)}{\left(x + 3\right) \left(2 x - 1\right)}\, dx$$
Integral((((3*x - 1)*2)*x)/(((2*x - 1)*(x + 3))), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                              
 |                                                               
 |   (3*x - 1)*2*x                  60*log(3 + x)   log(-1 + 2*x)
 | ----------------- dx = C + 3*x - ------------- + -------------
 | (2*x - 1)*(x + 3)                      7               14     
 |                                                               
/                                                                
$$\int \frac{x 2 \left(3 x - 1\right)}{\left(x + 3\right) \left(2 x - 1\right)}\, dx = C + 3 x - \frac{60 \log{\left(x + 3 \right)}}{7} + \frac{\log{\left(2 x - 1 \right)}}{14}$$
The graph
The answer [src]
nan
$$\text{NaN}$$
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nan
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nan

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