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Integral of 1/(3x+2)^7 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1              
  /              
 |               
 |      1        
 |  ---------- dx
 |           7   
 |  (3*x + 2)    
 |               
/                
0                
$$\int\limits_{0}^{1} \frac{1}{\left(3 x + 2\right)^{7}}\, dx$$
Integral(1/((3*x + 2)^7), (x, 0, 1))
The answer (Indefinite) [src]
  /                                                                                         
 |                                                                                          
 |     1                                                 1                                  
 | ---------- dx = C - ---------------------------------------------------------------------
 |          7                                  6          2          5          3          4
 | (3*x + 2)           1152 + 10368*x + 13122*x  + 38880*x  + 52488*x  + 77760*x  + 87480*x 
 |                                                                                          
/                                                                                           
$$\int \frac{1}{\left(3 x + 2\right)^{7}}\, dx = C - \frac{1}{13122 x^{6} + 52488 x^{5} + 87480 x^{4} + 77760 x^{3} + 38880 x^{2} + 10368 x + 1152}$$
The graph
The answer [src]
  1729 
-------
2000000
$$\frac{1729}{2000000}$$
=
=
  1729 
-------
2000000
$$\frac{1729}{2000000}$$
1729/2000000
Numerical answer [src]
0.0008645
0.0008645

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