Mister Exam

Other calculators


(x+3)/(x-2)^2

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

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1            
  /            
 |             
 |   x + 3     
 |  -------- dx
 |         2   
 |  (x - 2)    
 |             
/              
0              
$$\int\limits_{0}^{1} \frac{x + 3}{\left(x - 2\right)^{2}}\, dx$$
Integral((x + 3)/(x - 2)^2, (x, 0, 1))
The answer (Indefinite) [src]
  /                                      
 |                                       
 |  x + 3              5                 
 | -------- dx = C - ------ + log(-2 + x)
 |        2          -2 + x              
 | (x - 2)                               
 |                                       
/                                        
$$\int \frac{x + 3}{\left(x - 2\right)^{2}}\, dx = C + \log{\left(x - 2 \right)} - \frac{5}{x - 2}$$
The graph
The answer [src]
5/2 - log(2)
$$\frac{5}{2} - \log{\left(2 \right)}$$
=
=
5/2 - log(2)
$$\frac{5}{2} - \log{\left(2 \right)}$$
5/2 - log(2)
Numerical answer [src]
1.80685281944005
1.80685281944005
The graph
Integral of (x+3)/(x-2)^2 dx

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