Sr Examen

Otras calculadoras

Resolución de integrales/ cos4x/ sin^3/ -32cos4x/sin^34x

Integral de -32cos4x/sin^34x dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  1                
  /                
 |                 
 |  -32*cos(4*x)   
 |  ------------ dx
 |       34        
 |    sin  (x)     
 |                 
/                  
0
∫01(−1)32cos⁡(4x)sin⁡34(x) dx\int\limits_{0}^{1} \frac{\left(-1\right) 32 \cos{\left(4 x \right)}}{\sin^{34}{\left(x \right)}}\, dx 
Integral((-32*cos(4*x))/sin(x)^34, (x, 0, 1))
Respuesta (Indefinida) [src] 
  /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
 |                                                                                       33             3             31              29               25               27               21               9               15                11                23                19                17                                                                                                                                                                                                                                                                                                                          
 | -32*cos(4*x)                             5              7               13      32*cot  (x)   512*cot (x)   512*cot  (x)   3840*cot  (x)   11648*cot  (x)   17920*cot  (x)   36608*cot  (x)   58240*cot (x)   73216*cot  (x)   139776*cot  (x)   139776*cot  (x)   366080*cot  (x)   411840*cot  (x)    256*cos(x)    256*cos(x)     7168*cos(x)      186368*cos(x)     1490944*cos(x)      4685824*cos(x)     18743296*cos(x)     37486592*cos(x)      234881024*cos(x)     469762048*cos(x)    536870912*cos(x)     599785472*cos(x)      645922816*cos(x)    1073741824*cos(x)    4294967296*cos(x)    8589934592*cos(x)
 | ------------ dx = C + 32*cot(x) + 768*cot (x) + 2560*cot (x) + 19712*cot  (x) + ----------- + ----------- + ------------ + ------------- + -------------- + -------------- + -------------- + ------------- + -------------- + --------------- + --------------- + --------------- + --------------- - ----------- + ------------ + -------------- + --------------- + ---------------- + ----------------- + ----------------- + ------------------ + ------------------ + ----------------- + ----------------- + ------------------- + ------------------- + ------------------ + ------------------ + -----------------
 |      34                                                                              33            3             31              29              5                27               3                9               3                 11                23                19                17               31             29               27                25                 23                  21                  19                   17                   11                   9                   7                    15                    13                    5                    3      4508102925*sin(x)
 |   sin  (x)                                                                                                                                                                                                                                                                                             31*sin  (x)   899*sin  (x)   24273*sin  (x)   606825*sin  (x)   4652325*sin  (x)   13956975*sin  (x)   53036505*sin  (x)   100180065*sin  (x)   500900325*sin  (x)   901620585*sin (x)   901620585*sin (x)   1502700975*sin  (x)   1502700975*sin  (x)   1502700975*sin (x)   4508102925*sin (x)                    
 |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
/
∫(−1)32cos⁡(4x)sin⁡34(x) dx=C+32cot⁡33(x)33+512cot⁡31(x)31+3840cot⁡29(x)29+17920cot⁡27(x)27+11648cot⁡25(x)5+139776cot⁡23(x)23+36608cot⁡21(x)3+366080cot⁡19(x)19+411840cot⁡17(x)17+73216cot⁡15(x)3+19712cot⁡13(x)+139776cot⁡11(x)11+58240cot⁡9(x)9+2560cot⁡7(x)+768cot⁡5(x)+512cot⁡3(x)3+32cot⁡(x)+8589934592cos⁡(x)4508102925sin⁡(x)+4294967296cos⁡(x)4508102925sin⁡3(x)+1073741824cos⁡(x)1502700975sin⁡5(x)+536870912cos⁡(x)901620585sin⁡7(x)+469762048cos⁡(x)901620585sin⁡9(x)+234881024cos⁡(x)500900325sin⁡11(x)+645922816cos⁡(x)1502700975sin⁡13(x)+599785472cos⁡(x)1502700975sin⁡15(x)+37486592cos⁡(x)100180065sin⁡17(x)+18743296cos⁡(x)53036505sin⁡19(x)+4685824cos⁡(x)13956975sin⁡21(x)+1490944cos⁡(x)4652325sin⁡23(x)+186368cos⁡(x)606825sin⁡25(x)+7168cos⁡(x)24273sin⁡27(x)+256cos⁡(x)899sin⁡29(x)−256cos⁡(x)31sin⁡31(x)\int \frac{\left(-1\right) 32 \cos{\left(4 x \right)}}{\sin^{34}{\left(x \right)}}\, dx = C + \frac{32 \cot^{33}{\left(x \right)}}{33} + \frac{512 \cot^{31}{\left(x \right)}}{31} + \frac{3840 \cot^{29}{\left(x \right)}}{29} + \frac{17920 \cot^{27}{\left(x \right)}}{27} + \frac{11648 \cot^{25}{\left(x \right)}}{5} + \frac{139776 \cot^{23}{\left(x \right)}}{23} + \frac{36608 \cot^{21}{\left(x \right)}}{3} + \frac{366080 \cot^{19}{\left(x \right)}}{19} + \frac{411840 \cot^{17}{\left(x \right)}}{17} + \frac{73216 \cot^{15}{\left(x \right)}}{3} + 19712 \cot^{13}{\left(x \right)} + \frac{139776 \cot^{11}{\left(x \right)}}{11} + \frac{58240 \cot^{9}{\left(x \right)}}{9} + 2560 \cot^{7}{\left(x \right)} + 768 \cot^{5}{\left(x \right)} + \frac{512 \cot^{3}{\left(x \right)}}{3} + 32 \cot{\left(x \right)} + \frac{8589934592 \cos{\left(x \right)}}{4508102925 \sin{\left(x \right)}} + \frac{4294967296 \cos{\left(x \right)}}{4508102925 \sin^{3}{\left(x \right)}} + \frac{1073741824 \cos{\left(x \right)}}{1502700975 \sin^{5}{\left(x \right)}} + \frac{536870912 \cos{\left(x \right)}}{901620585 \sin^{7}{\left(x \right)}} + \frac{469762048 \cos{\left(x \right)}}{901620585 \sin^{9}{\left(x \right)}} + \frac{234881024 \cos{\left(x \right)}}{500900325 \sin^{11}{\left(x \right)}} + \frac{645922816 \cos{\left(x \right)}}{1502700975 \sin^{13}{\left(x \right)}} + \frac{599785472 \cos{\left(x \right)}}{1502700975 \sin^{15}{\left(x \right)}} + \frac{37486592 \cos{\left(x \right)}}{100180065 \sin^{17}{\left(x \right)}} + \frac{18743296 \cos{\left(x \right)}}{53036505 \sin^{19}{\left(x \right)}} + \frac{4685824 \cos{\left(x \right)}}{13956975 \sin^{21}{\left(x \right)}} + \frac{1490944 \cos{\left(x \right)}}{4652325 \sin^{23}{\left(x \right)}} + \frac{186368 \cos{\left(x \right)}}{606825 \sin^{25}{\left(x \right)}} + \frac{7168 \cos{\left(x \right)}}{24273 \sin^{27}{\left(x \right)}} + \frac{256 \cos{\left(x \right)}}{899 \sin^{29}{\left(x \right)}} - \frac{256 \cos{\left(x \right)}}{31 \sin^{31}{\left(x \right)}}
Simplificar
Respuesta numérica [src] 
-2.04334708701795e+628
-2.04334708701795e+628

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

    © Sr Examen – Калькулятор