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Solving integrals/ (5x+3)/((x+2)*(x-3))

Integral of (5x+3)/((x+2)*(x-3)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |      5*x + 3       
 |  --------------- dx
 |  (x + 2)*(x - 3)   
 |                    
/                     
0
$$\int\limits_{0}^{1} \frac{5 x + 3}{\left(x - 3\right) \left(x + 2\right)}\, dx$$ 
Integral((5*x + 3)/(((x + 2)*(x - 3))), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                      
 |                                                       
 |     5*x + 3              7*log(2 + x)   18*log(-3 + x)
 | --------------- dx = C + ------------ + --------------
 | (x + 2)*(x - 3)               5               5       
 |                                                       
/
$$\int \frac{5 x + 3}{\left(x - 3\right) \left(x + 2\right)}\, dx = C + \frac{18 \log{\left(x - 3 \right)}}{5} + \frac{7 \log{\left(x + 2 \right)}}{5}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  11*log(3)   11*log(2)
- --------- + ---------
      5           5
$$- \frac{11 \log{\left(3 \right)}}{5} + \frac{11 \log{\left(2 \right)}}{5}$$ 
=
= 
  11*log(3)   11*log(2)
- --------- + ---------
      5           5
$$- \frac{11 \log{\left(3 \right)}}{5} + \frac{11 \log{\left(2 \right)}}{5}$$ 
-11*log(3)/5 + 11*log(2)/5
Numerical answer [src] 
-0.892023237837962
-0.892023237837962

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

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