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Solving integrals/ (3x-2)/(2-3x-5x^2)

Integral of (3x-2)/(2-3x-5x^2) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                  
  /                  
 |                   
 |     3*x - 2       
 |  -------------- dx
 |               2   
 |  2 - 3*x - 5*x    
 |                   
/                    
0
$$\int\limits_{0}^{1} \frac{3 x - 2}{- 5 x^{2} + \left(2 - 3 x\right)}\, dx$$ 
Integral((3*x - 2)/(2 - 3*x - 5*x^2), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                      
 |                                                       
 |    3*x - 2              5*log(1 + x)   4*log(-2 + 5*x)
 | -------------- dx = C - ------------ + ---------------
 |              2               7                35      
 | 2 - 3*x - 5*x                                         
 |                                                       
/
$$\int \frac{3 x - 2}{- 5 x^{2} + \left(2 - 3 x\right)}\, dx = C - \frac{5 \log{\left(x + 1 \right)}}{7} + \frac{4 \log{\left(5 x - 2 \right)}}{35}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
nan
$$\text{NaN}$$ 
=
= 
nan
$$\text{NaN}$$ 
nan
Numerical answer [src] 
-0.0598838974517649
-0.0598838974517649

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

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