Integral de sin²2x dx
Solución
Gráfica
3 5 7 9 11 15 13 17 19 21
88179 88179*cos(1)*sin(1) 29393*sin (1)*cos(1) 29393*sin (1)*cos(1) 12597*sin (1)*cos(1) 4199*sin (1)*cos(1) 4199*sin (1)*cos(1) 2261*sin (1)*cos(1) 323*sin (1)*cos(1) 133*sin (1)*cos(1) 21*sin (1)*cos(1) sin (1)*cos(1)
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524288 524288 262144 327680 163840 61440 67584 42240 5632 2640 440 22
−52428888179sin(1)cos(1)−26214429393sin3(1)cos(1)−32768029393sin5(1)cos(1)−16384012597sin7(1)cos(1)−614404199sin9(1)cos(1)−675844199sin11(1)cos(1)−5632323sin13(1)cos(1)−422402261sin15(1)cos(1)−2640133sin17(1)cos(1)−44021sin19(1)cos(1)−22sin21(1)cos(1)+52428888179
=
3 5 7 9 11 15 13 17 19 21
88179 88179*cos(1)*sin(1) 29393*sin (1)*cos(1) 29393*sin (1)*cos(1) 12597*sin (1)*cos(1) 4199*sin (1)*cos(1) 4199*sin (1)*cos(1) 2261*sin (1)*cos(1) 323*sin (1)*cos(1) 133*sin (1)*cos(1) 21*sin (1)*cos(1) sin (1)*cos(1)
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524288 524288 262144 327680 163840 61440 67584 42240 5632 2640 440 22
−52428888179sin(1)cos(1)−26214429393sin3(1)cos(1)−32768029393sin5(1)cos(1)−16384012597sin7(1)cos(1)−614404199sin9(1)cos(1)−675844199sin11(1)cos(1)−5632323sin13(1)cos(1)−422402261sin15(1)cos(1)−2640133sin17(1)cos(1)−44021sin19(1)cos(1)−22sin21(1)cos(1)+52428888179
88179/524288 - 88179*cos(1)*sin(1)/524288 - 29393*sin(1)^3*cos(1)/262144 - 29393*sin(1)^5*cos(1)/327680 - 12597*sin(1)^7*cos(1)/163840 - 4199*sin(1)^9*cos(1)/61440 - 4199*sin(1)^11*cos(1)/67584 - 2261*sin(1)^15*cos(1)/42240 - 323*sin(1)^13*cos(1)/5632 - 133*sin(1)^17*cos(1)/2640 - 21*sin(1)^19*cos(1)/440 - sin(1)^21*cos(1)/22
Estos ejemplos se pueden aplicar para introducción de los límites de integración inferior y superior.