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(x+3)/(x^2-5x+6)
Solving integrals/ (x+3)/(x^2-5x+6)

Integral of (x+3)/(x^2-5x+6) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |     x + 3       
 |  ------------ dx
 |   2             
 |  x  - 5*x + 6   
 |                 
/                  
0
$$\int\limits_{0}^{1} \frac{x + 3}{\left(x^{2} - 5 x\right) + 6}\, dx$$ 
Integral((x + 3)/(x^2 - 5*x + 6), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                   
 |                                                    
 |    x + 3                                           
 | ------------ dx = C - 5*log(-2 + x) + 6*log(-3 + x)
 |  2                                                 
 | x  - 5*x + 6                                       
 |                                                    
/
$$\int \frac{x + 3}{\left(x^{2} - 5 x\right) + 6}\, dx = C + 6 \log{\left(x - 3 \right)} - 5 \log{\left(x - 2 \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-6*log(3) + 11*log(2)
$$- 6 \log{\left(3 \right)} + 11 \log{\left(2 \right)}$$ 
=
= 
-6*log(3) + 11*log(2)
$$- 6 \log{\left(3 \right)} + 11 \log{\left(2 \right)}$$ 
-6*log(3) + 11*log(2)
Numerical answer [src] 
1.03294525415074
1.03294525415074
The graph
Integral of (x+3)/(x^2-5x+6) dx

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

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