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Solving integrals/ (x+1)/((5-x)^3)

Integral of (x+1)/((5-x)^3) dx

Limits of integration:

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The graph:

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Piecewise:

The solution

You have entered [src] 
  5            
  /            
 |             
 |   x + 1     
 |  -------- dx
 |         3   
 |  (5 - x)    
 |             
/              
2
$$\int\limits_{2}^{5} \frac{x + 1}{\left(5 - x\right)^{3}}\, dx$$ 
Integral((x + 1)/(5 - x)^3, (x, 2, 5))
The answer (Indefinite) [src] 
  /                                    
 |                                     
 |  x + 1              1          3    
 | -------- dx = C + ------ + ---------
 |        3          -5 + x           2
 | (5 - x)                    (-5 + x) 
 |                                     
/
$$\int \frac{x + 1}{\left(5 - x\right)^{3}}\, dx = C + \frac{1}{x - 5} + \frac{3}{\left(x - 5\right)^{2}}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
oo
$$\infty$$ 
=
= 
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$$\infty$$ 
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Numerical answer [src] 
6.09881217379187e+37
6.09881217379187e+37

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

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