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Solving integrals/ dz/(5z+1)^3

Integral of dz/(5z+1)^3 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1              
  /              
 |               
 |      1        
 |  ---------- dz
 |           3   
 |  (5*z + 1)    
 |               
/                
0
$$\int\limits_{0}^{1} \frac{1}{\left(5 z + 1\right)^{3}}\, dz$$ 
Integral(1/((5*z + 1)^3), (z, 0, 1))
The answer (Indefinite) [src] 
  /                                       
 |                                        
 |     1                        1         
 | ---------- dz = C - -------------------
 |          3                            2
 | (5*z + 1)           10 + 100*z + 250*z 
 |                                        
/
$$\int \frac{1}{\left(5 z + 1\right)^{3}}\, dz = C - \frac{1}{250 z^{2} + 100 z + 10}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
7/72
$$\frac{7}{72}$$ 
=
= 
7/72
$$\frac{7}{72}$$ 
7/72
Numerical answer [src] 
0.0972222222222222
0.0972222222222222

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

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