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(6x+7)/(x+2)^2
Solving integrals/ (6x+7)/(x+2)^2

Integral of (6x+7)/(x+2)^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  6*x + 7    
 |  -------- dx
 |         2   
 |  (x + 2)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{6 x + 7}{\left(x + 2\right)^{2}}\, dx$$ 
Integral((6*x + 7)/(x + 2)^2, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                      
 |                                       
 | 6*x + 7             5                 
 | -------- dx = C + ----- + 6*log(2 + x)
 |        2          2 + x               
 | (x + 2)                               
 |                                       
/
$$\int \frac{6 x + 7}{\left(x + 2\right)^{2}}\, dx = C + 6 \log{\left(x + 2 \right)} + \frac{5}{x + 2}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-5/6 - 6*log(2) + 6*log(3)
$$- 6 \log{\left(2 \right)} - \frac{5}{6} + 6 \log{\left(3 \right)}$$ 
=
= 
-5/6 - 6*log(2) + 6*log(3)
$$- 6 \log{\left(2 \right)} - \frac{5}{6} + 6 \log{\left(3 \right)}$$ 
-5/6 - 6*log(2) + 6*log(3)
Numerical answer [src] 
1.59945731531565
1.59945731531565
The graph
Integral of (6x+7)/(x+2)^2 dx

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

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