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Solving integrals/ 1/sqrt((2x+3)^7)^6

Integral of 1/sqrt((2x+3)^7)^6 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 oo                    
  /                    
 |                     
 |         1           
 |  ---------------- dx
 |                 6   
 |     ____________    
 |    /          7     
 |  \/  (2*x + 3)      
 |                     
/                      
1
$$\int\limits_{1}^{\infty} \frac{1}{\left(\sqrt{\left(2 x + 3\right)^{7}}\right)^{6}}\, dx$$ 
Integral(1/((sqrt((2*x + 3)^7))^6), (x, 1, oo))
The answer (Indefinite) [src] 
  /                                                                                                                                                                                                                                                                                                                                                                                                                                                       
 |                                                                                                                                                                                                                                                                                                                                                                                                                                                        
 |        1                                                                                                                                                                                                                                1                                                                                                                                                                                                              
 | ---------------- dx = C - -----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
 |                6                                   20               19                18                 17                  16                                    15                   2                   14                   3                   13                    4                    12                    11                    5                    10                    6                    9                    7                    8
 |    ____________           139471376040 + 41943040*x   + 1258291200*x   + 17930649600*x   + 161375846400*x   + 1028771020800*x   + 1859618347200*x + 4938100899840*x   + 11777582865600*x  + 18517878374400*x   + 47110331462400*x  + 55553635123200*x   + 133479272476800*x  + 135411985612800*x   + 270823971225600*x   + 284755781283840*x  + 446859552522240*x   + 474592968806400*x  + 609353935257600*x  + 632790625075200*x  + 685523177164800*x 
 |   /          7                                                                                                                                                                                                                                                                                                                                                                                                                                         
 | \/  (2*x + 3)                                                                                                                                                                                                                                                                                                                                                                                                                                          
 |                                                                                                                                                                                                                                                                                                                                                                                                                                                        
/
$$\int \frac{1}{\left(\sqrt{\left(2 x + 3\right)^{7}}\right)^{6}}\, dx = C - \frac{1}{41943040 x^{20} + 1258291200 x^{19} + 17930649600 x^{18} + 161375846400 x^{17} + 1028771020800 x^{16} + 4938100899840 x^{15} + 18517878374400 x^{14} + 55553635123200 x^{13} + 135411985612800 x^{12} + 270823971225600 x^{11} + 446859552522240 x^{10} + 609353935257600 x^{9} + 685523177164800 x^{8} + 632790625075200 x^{7} + 474592968806400 x^{6} + 284755781283840 x^{5} + 133479272476800 x^{4} + 47110331462400 x^{3} + 11777582865600 x^{2} + 1859618347200 x + 139471376040}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
1/3814697265625000
$$\frac{1}{3814697265625000}$$ 
=
= 
1/3814697265625000
$$\frac{1}{3814697265625000}$$ 
1/3814697265625000

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

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