Sr Examen

Otras calculadoras

Resolución de integrales/ cos^5/ cos^52x/sin^82x

Integral de cos^52x/sin^82x dx

Límites de integración:

interior superior
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
  1            
  /            
 |             
 |     52      
 |  cos  (x)   
 |  -------- dx
 |     82      
 |  sin  (x)   
 |             
/              
0
∫01cos⁡52(x)sin⁡82(x) dx\int\limits_{0}^{1} \frac{\cos^{52}{\left(x \right)}}{\sin^{82}{\left(x \right)}}\, dx 
Integral(cos(x)^52/sin(x)^82, (x, 0, 1))
Respuesta (Indefinida) [src] 
  /                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           
 |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
 |    52                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      
 | cos  (x)          160329014038666934208532*cos(x)   9561856572438900221401*cos(x)   1607517633411683617036*cos(x)   1602472061843966301781*cos(x)   5911889050192793122*cos(x)   4203551791790935423*cos(x)   8995106989847362*cos(x)    2373737631116927*cos(x)    2020954810886251*cos(x)    36017228877266*cos(x)   22308242918*cos(x)         33554432*cos(x)               16777216*cos(x)                 4194304*cos(x)                 2097152*cos(x)                 1835008*cos(x)                 917504*cos(x)                  229376*cos(x)                  212992*cos(x)                  113152*cos(x)                  99008*cos(x)           91507*cos(x)            28288*cos(x)                  13312*cos(x)                  12376*cos(x)                  476*cos(x)                 17*cos(x)              cos(x)      2026*cos(x)    54049268*cos(x)    760433375156*cos(x)     86342528635738*cos(x)      690862874725136*cos(x)   6750163959008912*cos(x)   41667137547699346*cos(x)   889716632321616028*cos(x)   23331419354498899508*cos(x)   56263396415875297532*cos(x)   1761688673648887859122*cos(x)   91722895980188070616984*cos(x)   366996649667573283524608*cos(x)
 | -------- dx = C - ------------------------------- - ----------------------------- - ----------------------------- - ----------------------------- - -------------------------- - -------------------------- - ------------------------ - ----------------------- - ------------------------- - --------------------- - ------------------ - --------------------------- - ---------------------------- - ---------------------------- - ---------------------------- - ---------------------------- - ---------------------------- - ---------------------------- - ---------------------------- - --------------------------- - --------------------------- - -------------- - --------------------------- - --------------------------- - --------------------------- - ------------------------- - ------------------------ - ----------- + ------------- + ---------------- + ------------------- + ------------------------- + ----------------------- + ----------------------- + ------------------------ + ------------------------- + --------------------------- + --------------------------- + ----------------------------- + ------------------------------ + -------------------------------
 |    82                                      53                              49                              57                              45                           41                          61                           37                       65                           33                      69                   73      50937774768799055775*sin(x)                           3                              5                              7                              9                             11                             13                             15                            19                            23               77                            21                            17                            25                          27                         29            81              79                 75                    71                          31                        35                       67                         63                           39                           59                             43                             47                              55                                 51    
 | sin  (x)            1886584250696261325*sin  (x)     226390110083551359*sin  (x)      17474365272315285*sin  (x)     147645723967533495*sin  (x)    4474112847501015*sin  (x)     77940969100425*sin  (x)     141287774131611*sin  (x)    141968978325*sin  (x)    2590275859079535*sin  (x)    13985003835*sin  (x)   128459925*sin  (x)                                 50937774768799055775*sin (x)   16979258256266351925*sin (x)   10187554953759811155*sin (x)   10187554953759811155*sin (x)   5659752752088783975*sin  (x)   1543568932387850175*sin  (x)   1543568932387850175*sin  (x)   926141359432710105*sin  (x)   893645171382439575*sin  (x)   23463*sin  (x)   243721410377028975*sin  (x)   102904595492523345*sin  (x)   116562413658579075*sin  (x)   4662496546343163*sin  (x)   172685057271969*sin  (x)   81*sin  (x)   6399*sin  (x)   1759725*sin  (x)   1013406075*sin  (x)   2590275859079535*sin  (x)   78493207850895*sin  (x)    936995256945*sin  (x)     1277720804925*sin  (x)    2684467708500609*sin  (x)     306567811795005*sin  (x)     13422338542503045*sin  (x)     75463370027850453*sin  (x)     961090089977340675*sin  (x)       5659752752088783975*sin  (x) 
 |                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            
/
∫cos⁡52(x)sin⁡82(x) dx=C−33554432cos⁡(x)50937774768799055775sin⁡(x)−16777216cos⁡(x)50937774768799055775sin⁡3(x)−4194304cos⁡(x)16979258256266351925sin⁡5(x)−2097152cos⁡(x)10187554953759811155sin⁡7(x)−1835008cos⁡(x)10187554953759811155sin⁡9(x)−917504cos⁡(x)5659752752088783975sin⁡11(x)−229376cos⁡(x)1543568932387850175sin⁡13(x)−212992cos⁡(x)1543568932387850175sin⁡15(x)−13312cos⁡(x)102904595492523345sin⁡17(x)−113152cos⁡(x)926141359432710105sin⁡19(x)−28288cos⁡(x)243721410377028975sin⁡21(x)−99008cos⁡(x)893645171382439575sin⁡23(x)−12376cos⁡(x)116562413658579075sin⁡25(x)−476cos⁡(x)4662496546343163sin⁡27(x)−17cos⁡(x)172685057271969sin⁡29(x)+86342528635738cos⁡(x)2590275859079535sin⁡31(x)−2020954810886251cos⁡(x)2590275859079535sin⁡33(x)+690862874725136cos⁡(x)78493207850895sin⁡35(x)−8995106989847362cos⁡(x)141287774131611sin⁡37(x)+889716632321616028cos⁡(x)2684467708500609sin⁡39(x)−5911889050192793122cos⁡(x)4474112847501015sin⁡41(x)+56263396415875297532cos⁡(x)13422338542503045sin⁡43(x)−1602472061843966301781cos⁡(x)147645723967533495sin⁡45(x)+1761688673648887859122cos⁡(x)75463370027850453sin⁡47(x)−9561856572438900221401cos⁡(x)226390110083551359sin⁡49(x)+366996649667573283524608cos⁡(x)5659752752088783975sin⁡51(x)−160329014038666934208532cos⁡(x)1886584250696261325sin⁡53(x)+91722895980188070616984cos⁡(x)961090089977340675sin⁡55(x)−1607517633411683617036cos⁡(x)17474365272315285sin⁡57(x)+23331419354498899508cos⁡(x)306567811795005sin⁡59(x)−4203551791790935423cos⁡(x)77940969100425sin⁡61(x)+41667137547699346cos⁡(x)1277720804925sin⁡63(x)−2373737631116927cos⁡(x)141968978325sin⁡65(x)+6750163959008912cos⁡(x)936995256945sin⁡67(x)−36017228877266cos⁡(x)13985003835sin⁡69(x)+760433375156cos⁡(x)1013406075sin⁡71(x)−22308242918cos⁡(x)128459925sin⁡73(x)+54049268cos⁡(x)1759725sin⁡75(x)−91507cos⁡(x)23463sin⁡77(x)+2026cos⁡(x)6399sin⁡79(x)−cos⁡(x)81sin⁡81(x)\int \frac{\cos^{52}{\left(x \right)}}{\sin^{82}{\left(x \right)}}\, dx = C - \frac{33554432 \cos{\left(x \right)}}{50937774768799055775 \sin{\left(x \right)}} - \frac{16777216 \cos{\left(x \right)}}{50937774768799055775 \sin^{3}{\left(x \right)}} - \frac{4194304 \cos{\left(x \right)}}{16979258256266351925 \sin^{5}{\left(x \right)}} - \frac{2097152 \cos{\left(x \right)}}{10187554953759811155 \sin^{7}{\left(x \right)}} - \frac{1835008 \cos{\left(x \right)}}{10187554953759811155 \sin^{9}{\left(x \right)}} - \frac{917504 \cos{\left(x \right)}}{5659752752088783975 \sin^{11}{\left(x \right)}} - \frac{229376 \cos{\left(x \right)}}{1543568932387850175 \sin^{13}{\left(x \right)}} - \frac{212992 \cos{\left(x \right)}}{1543568932387850175 \sin^{15}{\left(x \right)}} - \frac{13312 \cos{\left(x \right)}}{102904595492523345 \sin^{17}{\left(x \right)}} - \frac{113152 \cos{\left(x \right)}}{926141359432710105 \sin^{19}{\left(x \right)}} - \frac{28288 \cos{\left(x \right)}}{243721410377028975 \sin^{21}{\left(x \right)}} - \frac{99008 \cos{\left(x \right)}}{893645171382439575 \sin^{23}{\left(x \right)}} - \frac{12376 \cos{\left(x \right)}}{116562413658579075 \sin^{25}{\left(x \right)}} - \frac{476 \cos{\left(x \right)}}{4662496546343163 \sin^{27}{\left(x \right)}} - \frac{17 \cos{\left(x \right)}}{172685057271969 \sin^{29}{\left(x \right)}} + \frac{86342528635738 \cos{\left(x \right)}}{2590275859079535 \sin^{31}{\left(x \right)}} - \frac{2020954810886251 \cos{\left(x \right)}}{2590275859079535 \sin^{33}{\left(x \right)}} + \frac{690862874725136 \cos{\left(x \right)}}{78493207850895 \sin^{35}{\left(x \right)}} - \frac{8995106989847362 \cos{\left(x \right)}}{141287774131611 \sin^{37}{\left(x \right)}} + \frac{889716632321616028 \cos{\left(x \right)}}{2684467708500609 \sin^{39}{\left(x \right)}} - \frac{5911889050192793122 \cos{\left(x \right)}}{4474112847501015 \sin^{41}{\left(x \right)}} + \frac{56263396415875297532 \cos{\left(x \right)}}{13422338542503045 \sin^{43}{\left(x \right)}} - \frac{1602472061843966301781 \cos{\left(x \right)}}{147645723967533495 \sin^{45}{\left(x \right)}} + \frac{1761688673648887859122 \cos{\left(x \right)}}{75463370027850453 \sin^{47}{\left(x \right)}} - \frac{9561856572438900221401 \cos{\left(x \right)}}{226390110083551359 \sin^{49}{\left(x \right)}} + \frac{366996649667573283524608 \cos{\left(x \right)}}{5659752752088783975 \sin^{51}{\left(x \right)}} - \frac{160329014038666934208532 \cos{\left(x \right)}}{1886584250696261325 \sin^{53}{\left(x \right)}} + \frac{91722895980188070616984 \cos{\left(x \right)}}{961090089977340675 \sin^{55}{\left(x \right)}} - \frac{1607517633411683617036 \cos{\left(x \right)}}{17474365272315285 \sin^{57}{\left(x \right)}} + \frac{23331419354498899508 \cos{\left(x \right)}}{306567811795005 \sin^{59}{\left(x \right)}} - \frac{4203551791790935423 \cos{\left(x \right)}}{77940969100425 \sin^{61}{\left(x \right)}} + \frac{41667137547699346 \cos{\left(x \right)}}{1277720804925 \sin^{63}{\left(x \right)}} - \frac{2373737631116927 \cos{\left(x \right)}}{141968978325 \sin^{65}{\left(x \right)}} + \frac{6750163959008912 \cos{\left(x \right)}}{936995256945 \sin^{67}{\left(x \right)}} - \frac{36017228877266 \cos{\left(x \right)}}{13985003835 \sin^{69}{\left(x \right)}} + \frac{760433375156 \cos{\left(x \right)}}{1013406075 \sin^{71}{\left(x \right)}} - \frac{22308242918 \cos{\left(x \right)}}{128459925 \sin^{73}{\left(x \right)}} + \frac{54049268 \cos{\left(x \right)}}{1759725 \sin^{75}{\left(x \right)}} - \frac{91507 \cos{\left(x \right)}}{23463 \sin^{77}{\left(x \right)}} + \frac{2026 \cos{\left(x \right)}}{6399 \sin^{79}{\left(x \right)}} - \frac{\cos{\left(x \right)}}{81 \sin^{81}{\left(x \right)}}
Simplificar
Gráfica
0.001.000.100.200.300.400.500.600.700.800.90-2e3041e304
Trazar el gráfico f(x)
Respuesta [src] 
oo
∞\infty 
=
= 
oo
∞\infty 
oo
Respuesta numérica [src] 
5.76112492767049e+1538
5.76112492767049e+1538

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

    © Sr Examen – Калькулятор