Найду корень уравнения: sin(x/2)=cos(x/3)
сумма
/ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ | ___ ___ / ___ ____ / ___ | | ___ / ___ ____ / ___ ____ / ___ ___ ___ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | 3*pi | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 | | I \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 - \/ 5 | | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 | ---- + 3*pi - 6*I*log|- - - ------- - -------------------- + ---------------------| - 6*I*log|- - - -------------------- - --------------------- - --------------------- + ------- + --------------------| - 6*I*log|- - - ------- - -------------------- - -------------------- - --------------------- + ---------------------| 5 \ 4 4 8 8 / \ 4 16 16 16 4 16 / \ 4 4 16 16 16 16 /
=
/ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ | ___ ___ / ___ ____ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | ___ / ___ ____ / ___ ____ / ___ ___ ___ / ___ | 18*pi | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 | | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 | | I \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 - \/ 5 | ----- - 6*I*log|- - - ------- - -------------------- + ---------------------| - 6*I*log|- - - ------- - -------------------- - -------------------- - --------------------- + ---------------------| - 6*I*log|- - - -------------------- - --------------------- - --------------------- + ------- + --------------------| 5 \ 4 4 8 8 / \ 4 4 16 16 16 16 / \ 4 16 16 16 4 16 /
произведение
/ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ | ___ ___ / ___ ____ / ___ | | ___ / ___ ____ / ___ ____ / ___ ___ ___ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | 3*pi | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 | | I \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 - \/ 5 | | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 | ----*3*pi*-6*I*log|- - - ------- - -------------------- + ---------------------|*-6*I*log|- - - -------------------- - --------------------- - --------------------- + ------- + --------------------|*-6*I*log|- - - ------- - -------------------- - -------------------- - --------------------- + ---------------------| 5 \ 4 4 8 8 / \ 4 16 16 16 4 16 / \ 4 4 16 16 16 16 /
=
/ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ | ___ ___ / ___ ____ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | ___ / ___ ____ / ___ ____ / ___ ___ ___ / ___ | 2 | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 | | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 | | I \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 - \/ 5 | 1944*I*pi *log|- - - ------- - -------------------- + ---------------------|*log|- - - ------- - -------------------- - -------------------- - --------------------- + ---------------------|*log|- - - -------------------- - --------------------- - --------------------- + ------- + --------------------| \ 4 4 8 8 / \ 4 4 16 16 16 16 / \ 4 16 16 16 4 16 / -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- 5
3*pi x1 = ---- 5
x2 = 3*pi
/ ___________ ___________\ | ___ ___ / ___ ____ / ___ | | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 | x3 = -6*I*log|- - - ------- - -------------------- + ---------------------| \ 4 4 8 8 /
/ ___________ ___________ ___________ ___________\ | ___ / ___ ____ / ___ ____ / ___ ___ ___ / ___ | | I \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 - \/ 5 | x4 = -6*I*log|- - - -------------------- - --------------------- - --------------------- + ------- + --------------------| \ 4 16 16 16 4 16 /
/ ___________ ___________ ___________ ___________\ | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 | x5 = -6*I*log|- - - ------- - -------------------- - -------------------- - --------------------- + ---------------------| \ 4 4 16 16 16 16 /
x1 = -50.8938009881547
x2 = -88.5929128312322
x3 = -28.2743345278988
x4 = 47.1238890106496
x5 = -96.1327351998477
x6 = -28.2743341667712
x7 = 16.9646003293849
x8 = -65.9734449664942
x9 = 32.0442450666159
x10 = 84.8230022978442
x11 = 9.4247776746118
x12 = 54.6637121724624
x13 = 84.8230022103226
x14 = 84.8230013544733
x15 = 47.1238914557766
x16 = 1411.83173852325
x17 = 24.5044226980004
x18 = -65.9734464582615
x19 = -5.65486677646163
x20 = -28.2743337049001
x21 = -20.7345115136926
x22 = -65.9734457649087
x23 = -13.1946891450771
x24 = 9.42477880342571
x25 = 47.1238882143797
x26 = 92.3628240155399
x27 = -2177.12371038668
x28 = 499.513233005087
x29 = 1.88495559215388
x30 = -58.4336233567702
x31 = -65.973447783358
x32 = 69.7433569096934
x33 = -73.5132680940012
x34 = 99.9026463841554
x35 = -65.9734449331859
x36 = 47.1238902506659
x37 = -171.530958886003
x38 = 84.8230018402765
x39 = -35.8141562509236
x40 = 9.42477827907526
x41 = 47.1238905994607
x42 = 84.8230008105818
x43 = -28.2743330468393
x44 = 39.5840674352314
x45 = -43.3539786195391
x46 = 47.123889381652
x47 = 77.2831792783089
x48 = -81.0530904626167
x49 = 9.4247773089501
x50 = 62.2035345410779
x51 = 9.42477741995127
x52 = -103.672557831161