1
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| 11 7 15 3 19 21 17 5 13 9
| 1 88179*log(1 - sin(1)) 88179*log(1 + sin(1)) - 5503713280*sin (1) - 3424523520*sin (1) - 2163862272*sin (1) - 450357600*sin (1) - 155195040*sin (1) + 14549535*sin (1) + 71957985*sin(1) + 749786037*sin (1) + 1551313995*sin (1) + 4139920070*sin (1) + 5174056250*sin (1)
| -------- dx = - --------------------- + --------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| 23 1048576 1048576 12 8 16 4 20 22 2 18 6 14 10
| cos (x) -86507520 - 39966474240*sin (1) - 28547481600*sin (1) - 14273740800*sin (1) - 4757913600*sin (1) - 951582720*sin (1) + 86507520*sin (1) + 951582720*sin (1) + 4757913600*sin (1) + 14273740800*sin (1) + 28547481600*sin (1) + 39966474240*sin (1)
|
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0
$${{88179\,\log \left(\sin 1+1\right)}\over{1048576}}-{{88179\,\log
\left(1-\sin 1\right)}\over{1048576}}-{{22720789\,\sin ^{17}1}\over{
2621440\,\sin ^{22}1-28835840\,\sin ^{20}1+144179200\,\sin ^{18}1-
432537600\,\sin ^{16}1+865075200\,\sin ^{14}1-1211105280\,\sin ^{12}
1+1211105280\,\sin ^{10}1-865075200\,\sin ^81+432537600\,\sin ^61-
144179200\,\sin ^41+28835840\,\sin ^21-2621440}}-{{37635637\,\sin ^{
13}1}\over{786432\,\sin ^{22}1-8650752\,\sin ^{20}1+43253760\,\sin
^{18}1-129761280\,\sin ^{16}1+259522560\,\sin ^{14}1-363331584\,
\sin ^{12}1+363331584\,\sin ^{10}1-259522560\,\sin ^81+129761280\,
\sin ^61-43253760\,\sin ^41+8650752\,\sin ^21-786432}}-{{47036875\,
\sin ^91}\over{786432\,\sin ^{22}1-8650752\,\sin ^{20}1+43253760\,
\sin ^{18}1-129761280\,\sin ^{16}1+259522560\,\sin ^{14}1-363331584
\,\sin ^{12}1+363331584\,\sin ^{10}1-259522560\,\sin ^81+129761280\,
\sin ^61-43253760\,\sin ^41+8650752\,\sin ^21-786432}}-{{88179\,
\sin ^{21}1}\over{524288\,\sin ^{22}1-5767168\,\sin ^{20}1+28835840
\,\sin ^{18}1-86507520\,\sin ^{16}1+173015040\,\sin ^{14}1-242221056
\,\sin ^{12}1+242221056\,\sin ^{10}1-173015040\,\sin ^81+86507520\,
\sin ^61-28835840\,\sin ^41+5767168\,\sin ^21-524288}}-{{9401903\,
\sin ^51}\over{524288\,\sin ^{22}1-5767168\,\sin ^{20}1+28835840\,
\sin ^{18}1-86507520\,\sin ^{16}1+173015040\,\sin ^{14}1-242221056\,
\sin ^{12}1+242221056\,\sin ^{10}1-173015040\,\sin ^81+86507520\,
\sin ^61-28835840\,\sin ^41+5767168\,\sin ^21-524288}}-{{436109\,
\sin 1}\over{524288\,\sin ^{22}1-5767168\,\sin ^{20}1+28835840\,
\sin ^{18}1-86507520\,\sin ^{16}1+173015040\,\sin ^{14}1-242221056\,
\sin ^{12}1+242221056\,\sin ^{10}1-173015040\,\sin ^81+86507520\,
\sin ^61-28835840\,\sin ^41+5767168\,\sin ^21-524288}}+{{29393\,
\sin ^{19}1}\over{16384\,\sin ^{22}1-180224\,\sin ^{20}1+901120\,
\sin ^{18}1-2703360\,\sin ^{16}1+5406720\,\sin ^{14}1-7569408\,\sin
^{12}1+7569408\,\sin ^{10}1-5406720\,\sin ^81+2703360\,\sin ^61-
901120\,\sin ^41+180224\,\sin ^21-16384}}+{{85295\,\sin ^31}\over{
16384\,\sin ^{22}1-180224\,\sin ^{20}1+901120\,\sin ^{18}1-2703360\,
\sin ^{16}1+5406720\,\sin ^{14}1-7569408\,\sin ^{12}1+7569408\,\sin
^{10}1-5406720\,\sin ^81+2703360\,\sin ^61-901120\,\sin ^41+180224\,
\sin ^21-16384}}+{{256139\,\sin ^{15}1}\over{10240\,\sin ^{22}1-
112640\,\sin ^{20}1+563200\,\sin ^{18}1-1689600\,\sin ^{16}1+3379200
\,\sin ^{14}1-4730880\,\sin ^{12}1+4730880\,\sin ^{10}1-3379200\,
\sin ^81+1689600\,\sin ^61-563200\,\sin ^41+112640\,\sin ^21-10240}}
+{{81073\,\sin ^71}\over{2048\,\sin ^{22}1-22528\,\sin ^{20}1+112640
\,\sin ^{18}1-337920\,\sin ^{16}1+675840\,\sin ^{14}1-946176\,\sin
^{12}1+946176\,\sin ^{10}1-675840\,\sin ^81+337920\,\sin ^61-112640
\,\sin ^41+22528\,\sin ^21-2048}}+{{4199\,\sin ^{11}1}\over{66\,
\sin ^{22}1-726\,\sin ^{20}1+3630\,\sin ^{18}1-10890\,\sin ^{16}1+
21780\,\sin ^{14}1-30492\,\sin ^{12}1+30492\,\sin ^{10}1-21780\,
\sin ^81+10890\,\sin ^61-3630\,\sin ^41+726\,\sin ^21-66}}$$
Ответ (Неопределённый)
[src] /
| 11 7 15 3 19 21 17 5 13 9
| 1 88179*log(-1 + sin(x)) 88179*log(1 + sin(x)) - 5503713280*sin (x) - 3424523520*sin (x) - 2163862272*sin (x) - 450357600*sin (x) - 155195040*sin (x) + 14549535*sin (x) + 71957985*sin(x) + 749786037*sin (x) + 1551313995*sin (x) + 4139920070*sin (x) + 5174056250*sin (x)
| -------- dx = C - ---------------------- + --------------------- - ---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
| 23 1048576 1048576 12 8 16 4 20 22 2 18 6 14 10
| cos (x) -86507520 - 39966474240*sin (x) - 28547481600*sin (x) - 14273740800*sin (x) - 4757913600*sin (x) - 951582720*sin (x) + 86507520*sin (x) + 951582720*sin (x) + 4757913600*sin (x) + 14273740800*sin (x) + 28547481600*sin (x) + 39966474240*sin (x)
|
/
$${{88179\,\log \left(\sin x+1\right)}\over{1048576}}-{{88179\,\log
\left(\sin x-1\right)}\over{1048576}}-{{14549535\,\sin ^{21}x-
155195040\,\sin ^{19}x+749786037\,\sin ^{17}x-2163862272\,\sin ^{15}
x+4139920070\,\sin ^{13}x-5503713280\,\sin ^{11}x+5174056250\,\sin ^
9x-3424523520\,\sin ^7x+1551313995\,\sin ^5x-450357600\,\sin ^3x+
71957985\,\sin x}\over{86507520\,\sin ^{22}x-951582720\,\sin ^{20}x+
4757913600\,\sin ^{18}x-14273740800\,\sin ^{16}x+28547481600\,\sin
^{14}x-39966474240\,\sin ^{12}x+39966474240\,\sin ^{10}x-28547481600
\,\sin ^8x+14273740800\,\sin ^6x-4757913600\,\sin ^4x+951582720\,
\sin ^2x-86507520}}$$
