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cosec^5(x)
Solving integrals/ cosec^5(x)

Integral of cosec^5(x) dx

Limits of integration:

from to
v

The graph:

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Piecewise:

The solution

You have entered [src] 
  1           
  /           
 |            
 |     5      
 |  csc (x) dx
 |            
/             
0
∫01csc⁡5(x) dx\int\limits_{0}^{1} \csc^{5}{\left(x \right)}\, dx 
Integral(csc(x)^5, (x, 0, 1))
The answer (Indefinite) [src] 
  /                                                                                    
 |                                                                              3      
 |    5             3*log(1 + cos(x))   3*log(-1 + cos(x))     -5*cos(x) + 3*cos (x)   
 | csc (x) dx = C - ----------------- + ------------------ + --------------------------
 |                          16                  16                     2           4   
/                                                            8 - 16*cos (x) + 8*cos (x)
−3 log⁡(cos⁡x+1)16+3 log⁡(cos⁡x−1)16+3 cos⁡3x−5 cos⁡x8 cos⁡4x−16 cos⁡2x+8-{{3\,\log \left(\cos x+1\right)}\over{16}}+{{3\,\log \left(\cos x- 1\right)}\over{16}}+{{3\,\cos ^3x-5\,\cos x}\over{8\,\cos ^4x-16\, \cos ^2x+8}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.90-100000000000000000000100000000000000000000
Plot the graph f(x)
The answer [src] 
     3*pi*I
oo + ------
       16
%a{\it \%a} 
=
= 
     3*pi*I
oo + ------
       16
∞+3iπ16\infty + \frac{3 i \pi}{16}
Упростить
Numerical answer [src] 
7.26749061658134e+75
7.26749061658134e+75
The graph
Integral of cosec^5(x) dx

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

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