Integral de (1/sin^25x)dx dx
Solución
Respuesta (Indefinida)
[src]
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| 13 9 17 5 21 23 3 19 7 15 11
| 1 676039*log(1 + cos(x)) 676039*log(-1 + cos(x)) - 221803567050*cos (x) - 197767334710*cos (x) - 67013911107*cos (x) - 46038446685*cos (x) - 3904125225*cos (x) - 1741541175*cos(x) + 334639305*cos (x) + 12013258455*cos (x) + 20814564771*cos (x) + 114444262845*cos (x) + 144986993866*cos (x) + 245588699190*cos (x)
| -------- dx = C - ---------------------- + ----------------------- + -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| 25 8388608 8388608 10 14 6 18 2 22 24 4 20 8 16 12
| sin (x) 2076180480 - 1644334940160*cos (x) - 1644334940160*cos (x) - 456759705600*cos (x) - 456759705600*cos (x) - 24914165760*cos (x) - 24914165760*cos (x) + 2076180480*cos (x) + 137027911680*cos (x) + 137027911680*cos (x) + 1027709337600*cos (x) + 1027709337600*cos (x) + 1918390763520*cos (x)
|
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∫sin25(x)1dx=C+2076180480cos24(x)−24914165760cos22(x)+137027911680cos20(x)−456759705600cos18(x)+1027709337600cos16(x)−1644334940160cos14(x)+1918390763520cos12(x)−1644334940160cos10(x)+1027709337600cos8(x)−456759705600cos6(x)+137027911680cos4(x)−24914165760cos2(x)+2076180480334639305cos23(x)−3904125225cos21(x)+20814564771cos19(x)−67013911107cos17(x)+144986993866cos15(x)−221803567050cos13(x)+245588699190cos11(x)−197767334710cos9(x)+114444262845cos7(x)−46038446685cos5(x)+12013258455cos3(x)−1741541175cos(x)+8388608676039log(cos(x)−1)−8388608676039log(cos(x)+1)
Gráfica
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.