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Solving integrals/ (x-1)/((x-3)*(x-4))

Integral of (x-1)/((x-3)*(x-4)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |       x - 1        
 |  --------------- dx
 |  (x - 3)*(x - 4)   
 |                    
/                     
0
∫01x−1(x−4)(x−3) dx\int\limits_{0}^{1} \frac{x - 1}{\left(x - 4\right) \left(x - 3\right)}\, dx 
Integral((x - 1)/(((x - 3)*(x - 4))), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                      
 |                                                       
 |      x - 1                                            
 | --------------- dx = C - 2*log(-3 + x) + 3*log(-4 + x)
 | (x - 3)*(x - 4)                                       
 |                                                       
/
∫x−1(x−4)(x−3) dx=C+3log⁡(x−4)−2log⁡(x−3)\int \frac{x - 1}{\left(x - 4\right) \left(x - 3\right)}\, dx = C + 3 \log{\left(x - 4 \right)} - 2 \log{\left(x - 3 \right)}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.10-0.10
Plot the graph f(x)
The answer [src] 
-3*log(4) - 2*log(2) + 5*log(3)
−3log⁡(4)−2log⁡(2)+5log⁡(3)- 3 \log{\left(4 \right)} - 2 \log{\left(2 \right)} + 5 \log{\left(3 \right)} 
=
= 
-3*log(4) - 2*log(2) + 5*log(3)
−3log⁡(4)−2log⁡(2)+5log⁡(3)- 3 \log{\left(4 \right)} - 2 \log{\left(2 \right)} + 5 \log{\left(3 \right)} 
-3*log(4) - 2*log(2) + 5*log(3)
Numerical answer [src] 
-0.052116001139014
-0.052116001139014

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

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