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(4x+3)/(x-2)^2
Solving integrals/ (4x+3)/(x-2)^2

Integral of (4x+3)/(x-2)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  4*x + 3    
 |  -------- dx
 |         2   
 |  (x - 2)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{4 x + 3}{\left(x - 2\right)^{2}}\, dx$$ 
Integral((4*x + 3)/(x - 2)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                        
 |                                         
 | 4*x + 3             11                  
 | -------- dx = C - ------ + 4*log(-2 + x)
 |        2          -2 + x                
 | (x - 2)                                 
 |                                         
/
$$\int \frac{4 x + 3}{\left(x - 2\right)^{2}}\, dx = C + 4 \log{\left(x - 2 \right)} - \frac{11}{x - 2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
11/2 - 4*log(2)
$$\frac{11}{2} - 4 \log{\left(2 \right)}$$ 
=
= 
11/2 - 4*log(2)
$$\frac{11}{2} - 4 \log{\left(2 \right)}$$ 
11/2 - 4*log(2)
Numerical answer [src] 
2.72741127776022
2.72741127776022
The graph
Integral of (4x+3)/(x-2)^2 dx

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

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