Integral de cos^52x/sin^82x dx
Solución
Respuesta (Indefinida)
[src]
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| 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)
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∫sin82(x)cos52(x)dx=C−50937774768799055775sin(x)33554432cos(x)−50937774768799055775sin3(x)16777216cos(x)−16979258256266351925sin5(x)4194304cos(x)−10187554953759811155sin7(x)2097152cos(x)−10187554953759811155sin9(x)1835008cos(x)−5659752752088783975sin11(x)917504cos(x)−1543568932387850175sin13(x)229376cos(x)−1543568932387850175sin15(x)212992cos(x)−102904595492523345sin17(x)13312cos(x)−926141359432710105sin19(x)113152cos(x)−243721410377028975sin21(x)28288cos(x)−893645171382439575sin23(x)99008cos(x)−116562413658579075sin25(x)12376cos(x)−4662496546343163sin27(x)476cos(x)−172685057271969sin29(x)17cos(x)+2590275859079535sin31(x)86342528635738cos(x)−2590275859079535sin33(x)2020954810886251cos(x)+78493207850895sin35(x)690862874725136cos(x)−141287774131611sin37(x)8995106989847362cos(x)+2684467708500609sin39(x)889716632321616028cos(x)−4474112847501015sin41(x)5911889050192793122cos(x)+13422338542503045sin43(x)56263396415875297532cos(x)−147645723967533495sin45(x)1602472061843966301781cos(x)+75463370027850453sin47(x)1761688673648887859122cos(x)−226390110083551359sin49(x)9561856572438900221401cos(x)+5659752752088783975sin51(x)366996649667573283524608cos(x)−1886584250696261325sin53(x)160329014038666934208532cos(x)+961090089977340675sin55(x)91722895980188070616984cos(x)−17474365272315285sin57(x)1607517633411683617036cos(x)+306567811795005sin59(x)23331419354498899508cos(x)−77940969100425sin61(x)4203551791790935423cos(x)+1277720804925sin63(x)41667137547699346cos(x)−141968978325sin65(x)2373737631116927cos(x)+936995256945sin67(x)6750163959008912cos(x)−13985003835sin69(x)36017228877266cos(x)+1013406075sin71(x)760433375156cos(x)−128459925sin73(x)22308242918cos(x)+1759725sin75(x)54049268cos(x)−23463sin77(x)91507cos(x)+6399sin79(x)2026cos(x)−81sin81(x)cos(x)
Gráfica
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.