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Solving integrals/ 1/((3x+2)^(4))

Integral of 1/((3x+2)^(4)) dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo              
  /              
 |               
 |      1        
 |  ---------- dx
 |           4   
 |  (3*x + 2)    
 |               
/                
0
$$\int\limits_{0}^{\infty} \frac{1}{\left(3 x + 2\right)^{4}}\, dx$$ 
Integral(1/((3*x + 2)^4), (x, 0, oo))
The answer (Indefinite) [src] 
  /                                                
 |                                                 
 |     1                            1              
 | ---------- dx = C - ----------------------------
 |          4                    3                2
 | (3*x + 2)           72 + 243*x  + 324*x + 486*x 
 |                                                 
/
$$\int \frac{1}{\left(3 x + 2\right)^{4}}\, dx = C - \frac{1}{243 x^{3} + 486 x^{2} + 324 x + 72}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/72
$$\frac{1}{72}$$ 
=
= 
1/72
$$\frac{1}{72}$$ 
1/72

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

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