El profesor se sorprenderá mucho al ver tu solución correcta😉
sin(14*x)*cos(19*x) = sin(19*x)*cos(14*x)
suma
/ ___________ ___________\ / ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ | ____ / ___ ___ ___ / ___ | | ___ ___ / ___ ____ / ___ | | ____ / ___ ___ ___ / ___ ___ / ___ ____ / ___ | | ___ / ___ ____ / ___ ____ / ___ ___ ___ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | 9*pi pi |I \/ 10 *\/ 5 + \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 5 | | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 | |I \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 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 | |I I*\/ 5 \/ 2 *\/ 5 - \/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 | - ---- - pi + -- + pi - 2*I*log|- - --------------------- + ------- + --------------------| - 2*I*log|- - - ------- - -------------------- + ---------------------| - 2*I*log|- - --------------------- + ------- + -------------------- + -------------------- + ---------------------| - 2*I*log|- - - -------------------- - --------------------- - --------------------- + ------- + --------------------| - 2*I*log|- - - ------- - -------------------- - -------------------- - --------------------- + ---------------------| - 2*I*log|- - ------- - -------------------- + -------------------- + --------------------- + ---------------------| 5 5 \4 8 4 8 / \ 4 4 8 8 / \4 16 4 16 16 16 / \ 4 16 16 16 4 16 / \ 4 4 16 16 16 16 / \4 4 16 16 16 16 /
=
/ ___________ ___________\ / ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ | ___ ___ / ___ ____ / ___ | | ____ / ___ ___ ___ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | ___ / ___ ____ / ___ ____ / ___ ___ ___ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | ____ / ___ ___ ___ / ___ ___ / ___ ____ / ___ | 8*pi | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 | |I \/ 10 *\/ 5 + \/ 5 I*\/ 5 \/ 2 *\/ 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 | |I I*\/ 5 \/ 2 *\/ 5 - \/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 | |I \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 2 *\/ 5 - \/ 5 \/ 10 *\/ 5 + \/ 5 | - ---- - 2*I*log|- - - ------- - -------------------- + ---------------------| - 2*I*log|- - --------------------- + ------- + --------------------| - 2*I*log|- - - ------- - -------------------- - -------------------- - --------------------- + ---------------------| - 2*I*log|- - - -------------------- - --------------------- - --------------------- + ------- + --------------------| - 2*I*log|- - ------- - -------------------- + -------------------- + --------------------- + ---------------------| - 2*I*log|- - --------------------- + ------- + -------------------- + -------------------- + ---------------------| 5 \ 4 4 8 8 / \4 8 4 8 / \ 4 4 16 16 16 16 / \ 4 16 16 16 4 16 / \4 4 16 16 16 16 / \4 16 4 16 16 16 /
producto
/ ___________ ___________\ / ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ / ___________ ___________ ___________ ___________\ | ____ / ___ ___ ___ / ___ | | ___ ___ / ___ ____ / ___ | | ____ / ___ ___ ___ / ___ ___ / ___ ____ / ___ | | ___ / ___ ____ / ___ ____ / ___ ___ ___ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | | ___ ___ / ___ ___ / ___ ____ / ___ ____ / ___ | -9*pi pi |I \/ 10 *\/ 5 + \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 5 | | I I*\/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 | |I \/ 10 *\/ 5 - \/ 5 I*\/ 5 \/ 2 *\/ 5 + \/ 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 | |I I*\/ 5 \/ 2 *\/ 5 - \/ 5 \/ 2 *\/ 5 + \/ 5 \/ 10 *\/ 5 + \/ 5 \/ 10 *\/ 5 - \/ 5 | 0*-----*(-pi)*--*pi*-2*I*log|- - --------------------- + ------- + --------------------|*-2*I*log|- - - ------- - -------------------- + ---------------------|*-2*I*log|- - --------------------- + ------- + -------------------- + -------------------- + ---------------------|*-2*I*log|- - - -------------------- - --------------------- - --------------------- + ------- + --------------------|*-2*I*log|- - - ------- - -------------------- - -------------------- - --------------------- + ---------------------|*-2*I*log|- - ------- - -------------------- + -------------------- + --------------------- + ---------------------| 5 5 \4 8 4 8 / \ 4 4 8 8 / \4 16 4 16 16 16 / \ 4 16 16 16 4 16 / \ 4 4 16 16 16 16 / \4 4 16 16 16 16 /
=
0
0
x1 = -71.6283125018473
x2 = -57.8053048260522
x3 = -86.0796387083603
x4 = -10.0530964914873
x5 = 89.2212313619501
x6 = -69.7433569096934
x7 = -11.9380520836412
x8 = 33.9292006587698
x9 = 38.3274303737955
x10 = 42.0973415581032
x11 = -21.9911485751286
x12 = 40.2123859659494
x13 = -49.6371639267187
x14 = -81.6814089933346
x15 = 55.9203492338983
x16 = 5.65486677646163
x17 = 96.1327351998477
x18 = -96.1327351998477
x19 = -59.6902604182061
x20 = -43.9822971502571
x21 = 189.752196276824
x22 = 64.0884901332318
x23 = 99.9026463841554
x24 = 52.1504380495906
x25 = 43.9822971502571
x26 = 18.2212373908208
x27 = 16.3362817986669
x28 = 1.88495559215388
x29 = -15.707963267949
x30 = 48.3805268652828
x31 = -64.0884901332318
x32 = 0.0
x33 = 11.3097335529233
x34 = -54.0353936417444
x35 = -65.9734457253857
x36 = -47.7522083345649
x37 = -32.0442450666159
x38 = 70.3716754404114
x39 = 11.9380520836412
x40 = 30.159289474462
x41 = 10.0530964914873
x42 = 101.159283445591
x43 = -23.8761041672824
x44 = 92.3628240155399
x45 = -93.6194610769758
x46 = -35.8141562509236
x47 = 74.1415866247191
x48 = -3.76991118430775
x49 = 26.3893782901543
x50 = 28.2743338823081
x51 = 65.9734457253857
x52 = 84.1946831162065
x53 = 67.8584013175395
x54 = 20.1061929829747
x55 = -91.734505484822
x56 = 82.3097275240526
x57 = -87.9645943005142
x58 = -33.9292006587698
x59 = -20.1061929829747
x60 = -77.9114978090269
x61 = -5.65486677646163
x62 = 94.2477796076938
x63 = -67.8584013175395
x64 = 98.0176907920015
x65 = 32.0442450666159
x66 = 72.2566310325652
x67 = -76.026542216873
x68 = -25.7610597594363
x69 = -98.0176907920015
x70 = -89.8495498926681
x71 = -13.8230076757951
x72 = -35.1858377202057
x73 = -45.867252742411
x74 = -74.1415866247191
x75 = 8.16814089933346
x76 = 6.28318530717959
x77 = 23.8761041672824
x78 = 21.9911485751286
x79 = 87.9645943005142
x80 = 54.0353936417444
x81 = 50.2654824574367
x82 = -1.88495559215388
x83 = -55.9203492338983
x84 = 76.026542216873
x85 = -99.9026463841554
x86 = 62.2035345410779
x87 = 45.867252742411
x88 = -79.7964534011807
x89 = -37.6991118430775
x90 = -52.7787565803085
x91 = 5.02654824574367
x92 = 60.318578948924
x93 = 77.9114978090269
x94 = -27.6460153515902
x95 = 86.0796387083603
x96 = -42.0973415581032
x96 = -42.0973415581032