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Resolución de integrales/ cot2x/ sec^2/ cosec^22xcot2xdx

Integral de cosec^22xcot2xdx dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  1                     
  /                     
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 |     22               
 |  csc  (x)*cot(2*x) dx
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/                       
0
∫01cot⁡(2x)csc⁡22(x) dx\int\limits_{0}^{1} \cot{\left(2 x \right)} \csc^{22}{\left(x \right)}\, dx 
Integral(csc(x)^22*cot(2*x), (x, 0, 1))
Respuesta (Indefinida) [src] 
  /                                                                                                                                                                    
 |                                             2         /        2   \      4         6         8         10         12         14         16         18         20   
 |    22                           1        csc (x)   log\-1 + csc (x)/   csc (x)   csc (x)   csc (x)   csc  (x)   csc  (x)   csc  (x)   csc  (x)   csc  (x)   csc  (x)
 | csc  (x)*cot(2*x) dx = C - ----------- + ------- + ----------------- + ------- + ------- + ------- + -------- + -------- + -------- + -------- + -------- + --------
 |                                  22         4              4              8         12        16        20         24         28         32         36         40   
/                             44*sin  (x)
∫cot⁡(2x)csc⁡22(x) dx=C+log⁡(csc⁡2(x)−1)4+csc⁡20(x)40+csc⁡18(x)36+csc⁡16(x)32+csc⁡14(x)28+csc⁡12(x)24+csc⁡10(x)20+csc⁡8(x)16+csc⁡6(x)12+csc⁡4(x)8+csc⁡2(x)4−144sin⁡22(x)\int \cot{\left(2 x \right)} \csc^{22}{\left(x \right)}\, dx = C + \frac{\log{\left(\csc^{2}{\left(x \right)} - 1 \right)}}{4} + \frac{\csc^{20}{\left(x \right)}}{40} + \frac{\csc^{18}{\left(x \right)}}{36} + \frac{\csc^{16}{\left(x \right)}}{32} + \frac{\csc^{14}{\left(x \right)}}{28} + \frac{\csc^{12}{\left(x \right)}}{24} + \frac{\csc^{10}{\left(x \right)}}{20} + \frac{\csc^{8}{\left(x \right)}}{16} + \frac{\csc^{6}{\left(x \right)}}{12} + \frac{\csc^{4}{\left(x \right)}}{8} + \frac{\csc^{2}{\left(x \right)}}{4} - \frac{1}{44 \sin^{22}{\left(x \right)}}
Simplificar
Respuesta numérica [src] 
3.26890717096657e+417
3.26890717096657e+417

    Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.

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