Mister Exam

Other calculators

x/(x^2-5x+4)
Solving integrals/ x/(x^2-5x+4)

Integral of x/(x^2-5x+4) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |       x         
 |  ------------ dx
 |   2             
 |  x  - 5*x + 4   
 |                 
/                  
0
$$\int\limits_{0}^{1} \frac{x}{\left(x^{2} - 5 x\right) + 4}\, dx$$ 
Integral(x/(x^2 - 5*x + 4), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                           
 |                          /     2      \                                    
 |      x                log\4 + x  - 5*x/   5*log(-2 + 2*x)   5*log(-8 + 2*x)
 | ------------ dx = C + ----------------- - --------------- + ---------------
 |  2                            2                  6                 6       
 | x  - 5*x + 4                                                               
 |                                                                            
/
$$\int \frac{x}{\left(x^{2} - 5 x\right) + 4}\, dx = C + \frac{5 \log{\left(2 x - 8 \right)}}{6} - \frac{5 \log{\left(2 x - 2 \right)}}{6} + \frac{\log{\left(x^{2} - 5 x + 4 \right)}}{2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo - pi*I
$$\infty - i \pi$$ 
=
= 
oo - pi*I
$$\infty - i \pi$$ 
oo - pi*i
Numerical answer [src] 
14.3134388613554
14.3134388613554
The graph
Integral of x/(x^2-5x+4) dx

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

    © Mister Exam – Calculator