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Solving integrals/ (9x+2)/(x+3)^3

Integral of (9x+2)/(x+3)^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1            
  /            
 |             
 |  9*x + 2    
 |  -------- dx
 |         3   
 |  (x + 3)    
 |             
/              
0
$$\int\limits_{0}^{1} \frac{9 x + 2}{\left(x + 3\right)^{3}}\, dx$$ 
Integral((9*x + 2)/(x + 3)^3, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                    
 |                                     
 | 9*x + 2             9         25    
 | -------- dx = C - ----- + ----------
 |        3          3 + x            2
 | (x + 3)                   2*(3 + x) 
 |                                     
/
$$\int \frac{9 x + 2}{\left(x + 3\right)^{3}}\, dx = C - \frac{9}{x + 3} + \frac{25}{2 \left(x + 3\right)^{2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
 41
---
288
$$\frac{41}{288}$$ 
=
= 
 41
---
288
$$\frac{41}{288}$$ 
41/288
Numerical answer [src] 
0.142361111111111
0.142361111111111

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

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