1,1,45,61,0.079285,"\text{Not used}","int(sin(a + b*x)*sin(2*a + 2*b*x)^7,x)","\frac{-\frac{128\,{\sin\left(a+b\,x\right)}^{15}}{15}+\frac{384\,{\sin\left(a+b\,x\right)}^{13}}{13}-\frac{384\,{\sin\left(a+b\,x\right)}^{11}}{11}+\frac{128\,{\sin\left(a+b\,x\right)}^9}{9}}{b}","Not used",1,"((128*sin(a + b*x)^9)/9 - (384*sin(a + b*x)^11)/11 + (384*sin(a + b*x)^13)/13 - (128*sin(a + b*x)^15)/15)/b","B"
2,1,46,61,0.133877,"\text{Not used}","int(sin(a + b*x)*sin(2*a + 2*b*x)^6,x)","-\frac{-\frac{64\,{\cos\left(a+b\,x\right)}^{13}}{13}+\frac{192\,{\cos\left(a+b\,x\right)}^{11}}{11}-\frac{64\,{\cos\left(a+b\,x\right)}^9}{3}+\frac{64\,{\cos\left(a+b\,x\right)}^7}{7}}{b}","Not used",1,"-((64*cos(a + b*x)^7)/7 - (64*cos(a + b*x)^9)/3 + (192*cos(a + b*x)^11)/11 - (64*cos(a + b*x)^13)/13)/b","B"
3,1,36,46,0.087724,"\text{Not used}","int(sin(a + b*x)*sin(2*a + 2*b*x)^5,x)","\frac{32\,\left(63\,{\sin\left(a+b\,x\right)}^{11}-154\,{\sin\left(a+b\,x\right)}^9+99\,{\sin\left(a+b\,x\right)}^7\right)}{693\,b}","Not used",1,"(32*(99*sin(a + b*x)^7 - 154*sin(a + b*x)^9 + 63*sin(a + b*x)^11))/(693*b)","B"
4,1,36,46,0.140292,"\text{Not used}","int(sin(a + b*x)*sin(2*a + 2*b*x)^4,x)","-\frac{16\,\left(35\,{\cos\left(a+b\,x\right)}^9-90\,{\cos\left(a+b\,x\right)}^7+63\,{\cos\left(a+b\,x\right)}^5\right)}{315\,b}","Not used",1,"-(16*(63*cos(a + b*x)^5 - 90*cos(a + b*x)^7 + 35*cos(a + b*x)^9))/(315*b)","B"
5,1,26,31,0.050869,"\text{Not used}","int(sin(a + b*x)*sin(2*a + 2*b*x)^3,x)","\frac{8\,\left(7\,{\sin\left(a+b\,x\right)}^5-5\,{\sin\left(a+b\,x\right)}^7\right)}{35\,b}","Not used",1,"(8*(7*sin(a + b*x)^5 - 5*sin(a + b*x)^7))/(35*b)","B"
6,1,26,31,0.105759,"\text{Not used}","int(sin(a + b*x)*sin(2*a + 2*b*x)^2,x)","-\frac{4\,\left(5\,{\cos\left(a+b\,x\right)}^3-3\,{\cos\left(a+b\,x\right)}^5\right)}{15\,b}","Not used",1,"-(4*(5*cos(a + b*x)^3 - 3*cos(a + b*x)^5))/(15*b)","B"
7,1,44,30,0.360236,"\text{Not used}","int(sin(a + b*x)*sin(2*a + 2*b*x),x)","\left\{\begin{array}{cl} 2\,x\,\left(\cos\left(a\right)-{\cos\left(a\right)}^3\right) & \text{\ if\ \ }b=0\\ \frac{3\,\sin\left(a+b\,x\right)-\sin\left(3\,a+3\,b\,x\right)}{6\,b} & \text{\ if\ \ }b\neq 0 \end{array}\right.","Not used",1,"piecewise(b == 0, 2*x*(cos(a) - cos(a)^3), b ~= 0, (3*sin(a + b*x) - sin(3*a + 3*b*x))/(6*b))","B"
8,1,12,14,0.149013,"\text{Not used}","int(sin(a + b*x)/sin(2*a + 2*b*x),x)","\frac{\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{2\,b}","Not used",1,"atanh(sin(a + b*x))/(2*b)","B"
9,1,26,28,0.111223,"\text{Not used}","int(sin(a + b*x)/sin(2*a + 2*b*x)^2,x)","\frac{1}{4\,b\,\cos\left(a+b\,x\right)}-\frac{\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{4\,b}","Not used",1,"1/(4*b*cos(a + b*x)) - atanh(cos(a + b*x))/(4*b)","B"
10,1,48,49,0.120987,"\text{Not used}","int(sin(a + b*x)/sin(2*a + 2*b*x)^3,x)","\frac{3\,\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{16\,b}+\frac{\frac{3\,{\sin\left(a+b\,x\right)}^2}{16}-\frac{1}{8}}{b\,\left(\sin\left(a+b\,x\right)-{\sin\left(a+b\,x\right)}^3\right)}","Not used",1,"(3*atanh(sin(a + b*x)))/(16*b) + ((3*sin(a + b*x)^2)/16 - 1/8)/(b*(sin(a + b*x) - sin(a + b*x)^3))","B"
11,1,60,66,0.098386,"\text{Not used}","int(sin(a + b*x)/sin(2*a + 2*b*x)^4,x)","\frac{-\frac{5\,{\cos\left(a+b\,x\right)}^4}{32}+\frac{5\,{\cos\left(a+b\,x\right)}^2}{48}+\frac{1}{48}}{b\,\left({\cos\left(a+b\,x\right)}^3-{\cos\left(a+b\,x\right)}^5\right)}-\frac{5\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{32\,b}","Not used",1,"((5*cos(a + b*x)^2)/48 - (5*cos(a + b*x)^4)/32 + 1/48)/(b*(cos(a + b*x)^3 - cos(a + b*x)^5)) - (5*atanh(cos(a + b*x)))/(32*b)","B"
12,1,79,89,0.171640,"\text{Not used}","int(sin(a + b*x)/sin(2*a + 2*b*x)^5,x)","\frac{35\,\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{256\,b}-\frac{\frac{35\,{\sin\left(a+b\,x\right)}^6}{256}-\frac{175\,{\sin\left(a+b\,x\right)}^4}{768}+\frac{7\,{\sin\left(a+b\,x\right)}^2}{96}+\frac{1}{96}}{b\,\left({\sin\left(a+b\,x\right)}^7-2\,{\sin\left(a+b\,x\right)}^5+{\sin\left(a+b\,x\right)}^3\right)}","Not used",1,"(35*atanh(sin(a + b*x)))/(256*b) - ((7*sin(a + b*x)^2)/96 - (175*sin(a + b*x)^4)/768 + (35*sin(a + b*x)^6)/256 + 1/96)/(b*(sin(a + b*x)^3 - 2*sin(a + b*x)^5 + sin(a + b*x)^7))","B"
13,1,46,44,0.128145,"\text{Not used}","int(sin(a + b*x)^2*sin(2*a + 2*b*x)^5,x)","-\frac{-\frac{8\,{\cos\left(a+b\,x\right)}^{12}}{3}+\frac{48\,{\cos\left(a+b\,x\right)}^{10}}{5}-12\,{\cos\left(a+b\,x\right)}^8+\frac{16\,{\cos\left(a+b\,x\right)}^6}{3}}{b}","Not used",1,"-((16*cos(a + b*x)^6)/3 - 12*cos(a + b*x)^8 + (48*cos(a + b*x)^10)/5 - (8*cos(a + b*x)^12)/3)/b","B"
14,1,110,76,1.675417,"\text{Not used}","int(sin(a + b*x)^2*sin(2*a + 2*b*x)^4,x)","\frac{3\,x}{16}-\frac{-\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^9}{16}-\frac{7\,{\mathrm{tan}\left(a+b\,x\right)}^7}{8}+\frac{8\,{\mathrm{tan}\left(a+b\,x\right)}^5}{5}+\frac{7\,{\mathrm{tan}\left(a+b\,x\right)}^3}{8}+\frac{3\,\mathrm{tan}\left(a+b\,x\right)}{16}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^{10}+5\,{\mathrm{tan}\left(a+b\,x\right)}^8+10\,{\mathrm{tan}\left(a+b\,x\right)}^6+10\,{\mathrm{tan}\left(a+b\,x\right)}^4+5\,{\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}","Not used",1,"(3*x)/16 - ((3*tan(a + b*x))/16 + (7*tan(a + b*x)^3)/8 + (8*tan(a + b*x)^5)/5 - (7*tan(a + b*x)^7)/8 - (3*tan(a + b*x)^9)/16)/(b*(5*tan(a + b*x)^2 + 10*tan(a + b*x)^4 + 10*tan(a + b*x)^6 + 5*tan(a + b*x)^8 + tan(a + b*x)^10 + 1))","B"
15,1,33,29,0.108870,"\text{Not used}","int(sin(a + b*x)^2*sin(2*a + 2*b*x)^3,x)","-\frac{{\cos\left(a+b\,x\right)}^4\,\left({\cos\left(a+b\,x\right)}^4-\frac{8\,{\cos\left(a+b\,x\right)}^2}{3}+2\right)}{b}","Not used",1,"-(cos(a + b*x)^4*(cos(a + b*x)^4 - (8*cos(a + b*x)^2)/3 + 2))/b","B"
16,1,43,49,0.301575,"\text{Not used}","int(sin(a + b*x)^2*sin(2*a + 2*b*x)^2,x)","\frac{x}{4}-\frac{\frac{\sin\left(2\,a+2\,b\,x\right)}{16}+\frac{\sin\left(4\,a+4\,b\,x\right)}{16}-\frac{\sin\left(6\,a+6\,b\,x\right)}{48}}{b}","Not used",1,"x/4 - (sin(2*a + 2*b*x)/16 + sin(4*a + 4*b*x)/16 - sin(6*a + 6*b*x)/48)/b","B"
17,1,13,15,0.095787,"\text{Not used}","int(sin(a + b*x)^2*sin(2*a + 2*b*x),x)","\frac{{\sin\left(a+b\,x\right)}^4}{2\,b}","Not used",1,"sin(a + b*x)^4/(2*b)","B"
18,1,12,14,0.084004,"\text{Not used}","int(sin(a + b*x)^2/sin(2*a + 2*b*x),x)","-\frac{\ln\left(\cos\left(a+b\,x\right)\right)}{2\,b}","Not used",1,"-log(cos(a + b*x))/(2*b)","B"
19,1,11,13,0.108762,"\text{Not used}","int(sin(a + b*x)^2/sin(2*a + 2*b*x)^2,x)","\frac{\mathrm{tan}\left(a+b\,x\right)}{4\,b}","Not used",1,"tan(a + b*x)/(4*b)","B"
20,1,35,30,0.146140,"\text{Not used}","int(sin(a + b*x)^2/sin(2*a + 2*b*x)^3,x)","\frac{\frac{\ln\left({\sin\left(a+b\,x\right)}^2\right)}{16}-\frac{\ln\left(\cos\left(a+b\,x\right)\right)}{8}+\frac{1}{16\,{\cos\left(a+b\,x\right)}^2}}{b}","Not used",1,"(log(sin(a + b*x)^2)/16 - log(cos(a + b*x))/8 + 1/(16*cos(a + b*x)^2))/b","B"
21,1,33,42,0.134730,"\text{Not used}","int(sin(a + b*x)^2/sin(2*a + 2*b*x)^4,x)","\frac{{\mathrm{tan}\left(a+b\,x\right)}^4+6\,{\mathrm{tan}\left(a+b\,x\right)}^2-3}{48\,b\,\mathrm{tan}\left(a+b\,x\right)}","Not used",1,"(6*tan(a + b*x)^2 + tan(a + b*x)^4 - 3)/(48*b*tan(a + b*x))","B"
22,1,74,60,0.155499,"\text{Not used}","int(sin(a + b*x)^2/sin(2*a + 2*b*x)^5,x)","\frac{3\,\ln\left({\sin\left(a+b\,x\right)}^2\right)}{64\,b}-\frac{3\,\ln\left(\cos\left(a+b\,x\right)\right)}{32\,b}+\frac{-\frac{3\,{\cos\left(a+b\,x\right)}^4}{64}+\frac{3\,{\cos\left(a+b\,x\right)}^2}{128}+\frac{1}{128}}{b\,\left({\cos\left(a+b\,x\right)}^4-{\cos\left(a+b\,x\right)}^6\right)}","Not used",1,"(3*log(sin(a + b*x)^2))/(64*b) - (3*log(cos(a + b*x)))/(32*b) + ((3*cos(a + b*x)^2)/128 - (3*cos(a + b*x)^4)/64 + 1/128)/(b*(cos(a + b*x)^4 - cos(a + b*x)^6))","B"
23,1,36,46,0.073514,"\text{Not used}","int(sin(a + b*x)^3*sin(2*a + 2*b*x)^5,x)","\frac{32\,\left(99\,{\sin\left(a+b\,x\right)}^{13}-234\,{\sin\left(a+b\,x\right)}^{11}+143\,{\sin\left(a+b\,x\right)}^9\right)}{1287\,b}","Not used",1,"(32*(143*sin(a + b*x)^9 - 234*sin(a + b*x)^11 + 99*sin(a + b*x)^13))/(1287*b)","B"
24,1,46,61,0.117568,"\text{Not used}","int(sin(a + b*x)^3*sin(2*a + 2*b*x)^4,x)","-\frac{-\frac{16\,{\cos\left(a+b\,x\right)}^{11}}{11}+\frac{16\,{\cos\left(a+b\,x\right)}^9}{3}-\frac{48\,{\cos\left(a+b\,x\right)}^7}{7}+\frac{16\,{\cos\left(a+b\,x\right)}^5}{5}}{b}","Not used",1,"-((16*cos(a + b*x)^5)/5 - (48*cos(a + b*x)^7)/7 + (16*cos(a + b*x)^9)/3 - (16*cos(a + b*x)^11)/11)/b","B"
25,1,26,31,0.052850,"\text{Not used}","int(sin(a + b*x)^3*sin(2*a + 2*b*x)^3,x)","\frac{8\,\left(9\,{\sin\left(a+b\,x\right)}^7-7\,{\sin\left(a+b\,x\right)}^9\right)}{63\,b}","Not used",1,"(8*(9*sin(a + b*x)^7 - 7*sin(a + b*x)^9))/(63*b)","B"
26,1,36,46,0.124544,"\text{Not used}","int(sin(a + b*x)^3*sin(2*a + 2*b*x)^2,x)","-\frac{4\,\left(15\,{\cos\left(a+b\,x\right)}^7-42\,{\cos\left(a+b\,x\right)}^5+35\,{\cos\left(a+b\,x\right)}^3\right)}{105\,b}","Not used",1,"-(4*(35*cos(a + b*x)^3 - 42*cos(a + b*x)^5 + 15*cos(a + b*x)^7))/(105*b)","B"
27,1,13,15,0.098793,"\text{Not used}","int(sin(a + b*x)^3*sin(2*a + 2*b*x),x)","\frac{2\,{\sin\left(a+b\,x\right)}^5}{5\,b}","Not used",1,"(2*sin(a + b*x)^5)/(5*b)","B"
28,1,23,28,0.123849,"\text{Not used}","int(sin(a + b*x)^3/sin(2*a + 2*b*x),x)","-\frac{\frac{\sin\left(a+b\,x\right)}{2}-\frac{\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{2}}{b}","Not used",1,"-(sin(a + b*x)/2 - atanh(sin(a + b*x))/2)/b","B"
29,1,13,13,0.091167,"\text{Not used}","int(sin(a + b*x)^3/sin(2*a + 2*b*x)^2,x)","\frac{1}{4\,b\,\cos\left(a+b\,x\right)}","Not used",1,"1/(4*b*cos(a + b*x))","B"
30,1,36,34,0.167085,"\text{Not used}","int(sin(a + b*x)^3/sin(2*a + 2*b*x)^3,x)","\frac{\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{16\,b}-\frac{\sin\left(a+b\,x\right)}{16\,b\,\left({\sin\left(a+b\,x\right)}^2-1\right)}","Not used",1,"atanh(sin(a + b*x))/(16*b) - sin(a + b*x)/(16*b*(sin(a + b*x)^2 - 1))","B"
31,1,37,43,0.074865,"\text{Not used}","int(sin(a + b*x)^3/sin(2*a + 2*b*x)^4,x)","\frac{\frac{{\cos\left(a+b\,x\right)}^2}{16}+\frac{1}{48}}{b\,{\cos\left(a+b\,x\right)}^3}-\frac{\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{16\,b}","Not used",1,"(cos(a + b*x)^2/16 + 1/48)/(b*cos(a + b*x)^3) - atanh(cos(a + b*x))/(16*b)","B"
32,1,67,70,0.191857,"\text{Not used}","int(sin(a + b*x)^3/sin(2*a + 2*b*x)^5,x)","\frac{15\,\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{256\,b}-\frac{\frac{15\,{\sin\left(a+b\,x\right)}^4}{256}-\frac{25\,{\sin\left(a+b\,x\right)}^2}{256}+\frac{1}{32}}{b\,\left({\sin\left(a+b\,x\right)}^5-2\,{\sin\left(a+b\,x\right)}^3+\sin\left(a+b\,x\right)\right)}","Not used",1,"(15*atanh(sin(a + b*x)))/(256*b) - ((15*sin(a + b*x)^4)/256 - (25*sin(a + b*x)^2)/256 + 1/32)/(b*(sin(a + b*x) - 2*sin(a + b*x)^3 + sin(a + b*x)^5))","B"
33,1,46,61,0.152770,"\text{Not used}","int(sin(2*a + 2*b*x)^8/sin(a + b*x),x)","-\frac{-\frac{256\,{\cos\left(a+b\,x\right)}^{15}}{15}+\frac{768\,{\cos\left(a+b\,x\right)}^{13}}{13}-\frac{768\,{\cos\left(a+b\,x\right)}^{11}}{11}+\frac{256\,{\cos\left(a+b\,x\right)}^9}{9}}{b}","Not used",1,"-((256*cos(a + b*x)^9)/9 - (768*cos(a + b*x)^11)/11 + (768*cos(a + b*x)^13)/13 - (256*cos(a + b*x)^15)/15)/b","B"
34,1,45,61,0.128401,"\text{Not used}","int(sin(2*a + 2*b*x)^7/sin(a + b*x),x)","\frac{-\frac{128\,{\sin\left(a+b\,x\right)}^{13}}{13}+\frac{384\,{\sin\left(a+b\,x\right)}^{11}}{11}-\frac{128\,{\sin\left(a+b\,x\right)}^9}{3}+\frac{128\,{\sin\left(a+b\,x\right)}^7}{7}}{b}","Not used",1,"((128*sin(a + b*x)^7)/7 - (128*sin(a + b*x)^9)/3 + (384*sin(a + b*x)^11)/11 - (128*sin(a + b*x)^13)/13)/b","B"
35,1,36,46,0.136359,"\text{Not used}","int(sin(2*a + 2*b*x)^6/sin(a + b*x),x)","-\frac{64\,\left(63\,{\cos\left(a+b\,x\right)}^{11}-154\,{\cos\left(a+b\,x\right)}^9+99\,{\cos\left(a+b\,x\right)}^7\right)}{693\,b}","Not used",1,"-(64*(99*cos(a + b*x)^7 - 154*cos(a + b*x)^9 + 63*cos(a + b*x)^11))/(693*b)","B"
36,1,36,46,0.067161,"\text{Not used}","int(sin(2*a + 2*b*x)^5/sin(a + b*x),x)","\frac{32\,\left(35\,{\sin\left(a+b\,x\right)}^9-90\,{\sin\left(a+b\,x\right)}^7+63\,{\sin\left(a+b\,x\right)}^5\right)}{315\,b}","Not used",1,"(32*(63*sin(a + b*x)^5 - 90*sin(a + b*x)^7 + 35*sin(a + b*x)^9))/(315*b)","B"
37,1,26,31,0.052606,"\text{Not used}","int(sin(2*a + 2*b*x)^4/sin(a + b*x),x)","-\frac{16\,\left(7\,{\cos\left(a+b\,x\right)}^5-5\,{\cos\left(a+b\,x\right)}^7\right)}{35\,b}","Not used",1,"-(16*(7*cos(a + b*x)^5 - 5*cos(a + b*x)^7))/(35*b)","B"
38,1,26,31,0.108021,"\text{Not used}","int(sin(2*a + 2*b*x)^3/sin(a + b*x),x)","\frac{8\,\left(5\,{\sin\left(a+b\,x\right)}^3-3\,{\sin\left(a+b\,x\right)}^5\right)}{15\,b}","Not used",1,"(8*(5*sin(a + b*x)^3 - 3*sin(a + b*x)^5))/(15*b)","B"
39,1,13,15,0.034255,"\text{Not used}","int(sin(2*a + 2*b*x)^2/sin(a + b*x),x)","-\frac{4\,{\cos\left(a+b\,x\right)}^3}{3\,b}","Not used",1,"-(4*cos(a + b*x)^3)/(3*b)","B"
40,1,11,11,0.023987,"\text{Not used}","int(sin(2*a + 2*b*x)/sin(a + b*x),x)","\frac{2\,\sin\left(a+b\,x\right)}{b}","Not used",1,"(2*sin(a + b*x))/b","B"
41,1,26,28,0.114255,"\text{Not used}","int(1/(sin(a + b*x)*sin(2*a + 2*b*x)),x)","\frac{\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{2\,b}-\frac{1}{2\,b\,\sin\left(a+b\,x\right)}","Not used",1,"atanh(sin(a + b*x))/(2*b) - 1/(2*b*sin(a + b*x))","B"
42,1,49,49,0.128523,"\text{Not used}","int(1/(sin(a + b*x)*sin(2*a + 2*b*x)^2),x)","-\frac{3\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{8\,b}-\frac{\frac{3\,{\cos\left(a+b\,x\right)}^2}{8}-\frac{1}{4}}{b\,\left(\cos\left(a+b\,x\right)-{\cos\left(a+b\,x\right)}^3\right)}","Not used",1,"- (3*atanh(cos(a + b*x)))/(8*b) - ((3*cos(a + b*x)^2)/8 - 1/4)/(b*(cos(a + b*x) - cos(a + b*x)^3))","B"
43,1,61,66,0.186119,"\text{Not used}","int(1/(sin(a + b*x)*sin(2*a + 2*b*x)^3),x)","\frac{5\,\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{16\,b}-\frac{-\frac{5\,{\sin\left(a+b\,x\right)}^4}{16}+\frac{5\,{\sin\left(a+b\,x\right)}^2}{24}+\frac{1}{24}}{b\,\left({\sin\left(a+b\,x\right)}^3-{\sin\left(a+b\,x\right)}^5\right)}","Not used",1,"(5*atanh(sin(a + b*x)))/(16*b) - ((5*sin(a + b*x)^2)/24 - (5*sin(a + b*x)^4)/16 + 1/24)/(b*(sin(a + b*x)^3 - sin(a + b*x)^5))","B"
44,1,78,89,0.122124,"\text{Not used}","int(1/(sin(a + b*x)*sin(2*a + 2*b*x)^4),x)","\frac{\frac{35\,{\cos\left(a+b\,x\right)}^6}{128}-\frac{175\,{\cos\left(a+b\,x\right)}^4}{384}+\frac{7\,{\cos\left(a+b\,x\right)}^2}{48}+\frac{1}{48}}{b\,\left({\cos\left(a+b\,x\right)}^7-2\,{\cos\left(a+b\,x\right)}^5+{\cos\left(a+b\,x\right)}^3\right)}-\frac{35\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{128\,b}","Not used",1,"((7*cos(a + b*x)^2)/48 - (175*cos(a + b*x)^4)/384 + (35*cos(a + b*x)^6)/128 + 1/48)/(b*(cos(a + b*x)^3 - 2*cos(a + b*x)^5 + cos(a + b*x)^7)) - (35*atanh(cos(a + b*x)))/(128*b)","B"
45,1,149,155,2.272136,"\text{Not used}","int(sin(2*a + 2*b*x)^8/sin(a + b*x)^2,x)","\frac{5\,x}{8}+\frac{\frac{5\,{\mathrm{tan}\left(a+b\,x\right)}^{13}}{8}+\frac{25\,{\mathrm{tan}\left(a+b\,x\right)}^{11}}{6}+\frac{283\,{\mathrm{tan}\left(a+b\,x\right)}^9}{24}+\frac{128\,{\mathrm{tan}\left(a+b\,x\right)}^7}{7}-\frac{283\,{\mathrm{tan}\left(a+b\,x\right)}^5}{24}-\frac{25\,{\mathrm{tan}\left(a+b\,x\right)}^3}{6}-\frac{5\,\mathrm{tan}\left(a+b\,x\right)}{8}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^{14}+7\,{\mathrm{tan}\left(a+b\,x\right)}^{12}+21\,{\mathrm{tan}\left(a+b\,x\right)}^{10}+35\,{\mathrm{tan}\left(a+b\,x\right)}^8+35\,{\mathrm{tan}\left(a+b\,x\right)}^6+21\,{\mathrm{tan}\left(a+b\,x\right)}^4+7\,{\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}","Not used",1,"(5*x)/8 + ((128*tan(a + b*x)^7)/7 - (25*tan(a + b*x)^3)/6 - (283*tan(a + b*x)^5)/24 - (5*tan(a + b*x))/8 + (283*tan(a + b*x)^9)/24 + (25*tan(a + b*x)^11)/6 + (5*tan(a + b*x)^13)/8)/(b*(7*tan(a + b*x)^2 + 21*tan(a + b*x)^4 + 35*tan(a + b*x)^6 + 35*tan(a + b*x)^8 + 21*tan(a + b*x)^10 + 7*tan(a + b*x)^12 + tan(a + b*x)^14 + 1))","B"
46,1,35,44,0.149065,"\text{Not used}","int(sin(2*a + 2*b*x)^7/sin(a + b*x)^2,x)","-\frac{16\,{\cos\left(a+b\,x\right)}^8\,\left(10\,{\cos\left(a+b\,x\right)}^4-24\,{\cos\left(a+b\,x\right)}^2+15\right)}{15\,b}","Not used",1,"-(16*cos(a + b*x)^8*(10*cos(a + b*x)^4 - 24*cos(a + b*x)^2 + 15))/(15*b)","B"
47,1,109,111,1.689735,"\text{Not used}","int(sin(2*a + 2*b*x)^6/sin(a + b*x)^2,x)","\frac{3\,x}{4}+\frac{\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^9}{4}+\frac{7\,{\mathrm{tan}\left(a+b\,x\right)}^7}{2}+\frac{32\,{\mathrm{tan}\left(a+b\,x\right)}^5}{5}-\frac{7\,{\mathrm{tan}\left(a+b\,x\right)}^3}{2}-\frac{3\,\mathrm{tan}\left(a+b\,x\right)}{4}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^{10}+5\,{\mathrm{tan}\left(a+b\,x\right)}^8+10\,{\mathrm{tan}\left(a+b\,x\right)}^6+10\,{\mathrm{tan}\left(a+b\,x\right)}^4+5\,{\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}","Not used",1,"(3*x)/4 + ((32*tan(a + b*x)^5)/5 - (7*tan(a + b*x)^3)/2 - (3*tan(a + b*x))/4 + (7*tan(a + b*x)^7)/2 + (3*tan(a + b*x)^9)/4)/(b*(5*tan(a + b*x)^2 + 10*tan(a + b*x)^4 + 10*tan(a + b*x)^6 + 5*tan(a + b*x)^8 + tan(a + b*x)^10 + 1))","B"
48,1,25,29,0.052131,"\text{Not used}","int(sin(2*a + 2*b*x)^5/sin(a + b*x)^2,x)","\frac{4\,{\cos\left(a+b\,x\right)}^6\,\left(3\,{\cos\left(a+b\,x\right)}^2-4\right)}{3\,b}","Not used",1,"(4*cos(a + b*x)^6*(3*cos(a + b*x)^2 - 4))/(3*b)","B"
49,1,65,60,0.490099,"\text{Not used}","int(sin(2*a + 2*b*x)^4/sin(a + b*x)^2,x)","x+\frac{{\mathrm{tan}\left(a+b\,x\right)}^5+\frac{8\,{\mathrm{tan}\left(a+b\,x\right)}^3}{3}-\mathrm{tan}\left(a+b\,x\right)}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^6+3\,{\mathrm{tan}\left(a+b\,x\right)}^4+3\,{\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}","Not used",1,"x + ((8*tan(a + b*x)^3)/3 - tan(a + b*x) + tan(a + b*x)^5)/(b*(3*tan(a + b*x)^2 + 3*tan(a + b*x)^4 + tan(a + b*x)^6 + 1))","B"
50,1,13,13,0.110990,"\text{Not used}","int(sin(2*a + 2*b*x)^3/sin(a + b*x)^2,x)","-\frac{2\,{\cos\left(a+b\,x\right)}^4}{b}","Not used",1,"-(2*cos(a + b*x)^4)/b","B"
51,1,17,21,0.148487,"\text{Not used}","int(sin(2*a + 2*b*x)^2/sin(a + b*x)^2,x)","2\,x+\frac{\sin\left(2\,a+2\,b\,x\right)}{b}","Not used",1,"2*x + sin(2*a + 2*b*x)/b","B"
52,1,13,12,0.125070,"\text{Not used}","int(sin(2*a + 2*b*x)/sin(a + b*x)^2,x)","\frac{\ln\left({\sin\left(a+b\,x\right)}^2\right)}{b}","Not used",1,"log(sin(a + b*x)^2)/b","B"
53,1,36,30,0.137403,"\text{Not used}","int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)),x)","-\frac{\frac{\ln\left(\cos\left(a+b\,x\right)\right)}{2}-\frac{\ln\left({\sin\left(a+b\,x\right)}^2\right)}{4}+\frac{1}{4\,{\sin\left(a+b\,x\right)}^2}}{b}","Not used",1,"-(log(cos(a + b*x))/2 - log(sin(a + b*x)^2)/4 + 1/(4*sin(a + b*x)^2))/b","B"
54,1,37,42,0.140052,"\text{Not used}","int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^2),x)","\frac{\mathrm{tan}\left(a+b\,x\right)}{4\,b}-\frac{\frac{{\mathrm{tan}\left(a+b\,x\right)}^2}{2}+\frac{1}{12}}{b\,{\mathrm{tan}\left(a+b\,x\right)}^3}","Not used",1,"tan(a + b*x)/(4*b) - (tan(a + b*x)^2/2 + 1/12)/(b*tan(a + b*x)^3)","B"
55,1,82,60,0.218555,"\text{Not used}","int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^3),x)","\frac{3\,\ln\left({\sin\left(a+b\,x\right)}^2\right)}{16\,b}-\frac{3\,\ln\left(\cos\left(a+b\,x\right)\right)}{8\,b}+\frac{\frac{3\,{\cos\left(a+b\,x\right)}^4}{16}-\frac{9\,{\cos\left(a+b\,x\right)}^2}{32}+\frac{1}{16}}{b\,\left({\cos\left(a+b\,x\right)}^6-2\,{\cos\left(a+b\,x\right)}^4+{\cos\left(a+b\,x\right)}^2\right)}","Not used",1,"(3*log(sin(a + b*x)^2))/(16*b) - (3*log(cos(a + b*x)))/(8*b) + ((3*cos(a + b*x)^4)/16 - (9*cos(a + b*x)^2)/32 + 1/16)/(b*(cos(a + b*x)^2 - 2*cos(a + b*x)^4 + cos(a + b*x)^6))","B"
56,1,55,72,0.380861,"\text{Not used}","int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^4),x)","-\frac{-5\,{\mathrm{tan}\left(a+b\,x\right)}^8-60\,{\mathrm{tan}\left(a+b\,x\right)}^6+90\,{\mathrm{tan}\left(a+b\,x\right)}^4+20\,{\mathrm{tan}\left(a+b\,x\right)}^2+3}{240\,b\,{\mathrm{tan}\left(a+b\,x\right)}^5}","Not used",1,"-(20*tan(a + b*x)^2 + 90*tan(a + b*x)^4 - 60*tan(a + b*x)^6 - 5*tan(a + b*x)^8 + 3)/(240*b*tan(a + b*x)^5)","B"
57,1,114,90,0.294349,"\text{Not used}","int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^5),x)","\frac{5\,\ln\left({\sin\left(a+b\,x\right)}^2\right)}{32\,b}-\frac{5\,\ln\left(\cos\left(a+b\,x\right)\right)}{16\,b}+\frac{-\frac{5\,{\cos\left(a+b\,x\right)}^8}{32}+\frac{25\,{\cos\left(a+b\,x\right)}^6}{64}-\frac{55\,{\cos\left(a+b\,x\right)}^4}{192}+\frac{5\,{\cos\left(a+b\,x\right)}^2}{128}+\frac{1}{128}}{b\,\left(-{\cos\left(a+b\,x\right)}^{10}+3\,{\cos\left(a+b\,x\right)}^8-3\,{\cos\left(a+b\,x\right)}^6+{\cos\left(a+b\,x\right)}^4\right)}","Not used",1,"(5*log(sin(a + b*x)^2))/(32*b) - (5*log(cos(a + b*x)))/(16*b) + ((5*cos(a + b*x)^2)/128 - (55*cos(a + b*x)^4)/192 + (25*cos(a + b*x)^6)/64 - (5*cos(a + b*x)^8)/32 + 1/128)/(b*(cos(a + b*x)^4 - 3*cos(a + b*x)^6 + 3*cos(a + b*x)^8 - cos(a + b*x)^10))","B"
58,1,83,102,0.281359,"\text{Not used}","int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^6),x)","\frac{15\,\mathrm{tan}\left(a+b\,x\right)}{64\,b}+\frac{{\mathrm{tan}\left(a+b\,x\right)}^3}{32\,b}+\frac{{\mathrm{tan}\left(a+b\,x\right)}^5}{320\,b}-\frac{{\mathrm{cot}\left(a+b\,x\right)}^7\,\left(\frac{5\,{\mathrm{tan}\left(a+b\,x\right)}^6}{16}+\frac{5\,{\mathrm{tan}\left(a+b\,x\right)}^4}{64}+\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^2}{160}+\frac{1}{448}\right)}{b}","Not used",1,"(15*tan(a + b*x))/(64*b) + tan(a + b*x)^3/(32*b) + tan(a + b*x)^5/(320*b) - (cot(a + b*x)^7*((3*tan(a + b*x)^2)/160 + (5*tan(a + b*x)^4)/64 + (5*tan(a + b*x)^6)/16 + 1/448))/b","B"
59,1,46,61,0.131650,"\text{Not used}","int(sin(2*a + 2*b*x)^10/sin(a + b*x)^3,x)","-\frac{-\frac{1024\,{\cos\left(a+b\,x\right)}^{17}}{17}+\frac{1024\,{\cos\left(a+b\,x\right)}^{15}}{5}-\frac{3072\,{\cos\left(a+b\,x\right)}^{13}}{13}+\frac{1024\,{\cos\left(a+b\,x\right)}^{11}}{11}}{b}","Not used",1,"-((1024*cos(a + b*x)^11)/11 - (3072*cos(a + b*x)^13)/13 + (1024*cos(a + b*x)^15)/5 - (1024*cos(a + b*x)^17)/17)/b","B"
60,1,55,76,0.115410,"\text{Not used}","int(sin(2*a + 2*b*x)^9/sin(a + b*x)^3,x)","\frac{\frac{512\,{\sin\left(a+b\,x\right)}^{15}}{15}-\frac{2048\,{\sin\left(a+b\,x\right)}^{13}}{13}+\frac{3072\,{\sin\left(a+b\,x\right)}^{11}}{11}-\frac{2048\,{\sin\left(a+b\,x\right)}^9}{9}+\frac{512\,{\sin\left(a+b\,x\right)}^7}{7}}{b}","Not used",1,"((512*sin(a + b*x)^7)/7 - (2048*sin(a + b*x)^9)/9 + (3072*sin(a + b*x)^11)/11 - (2048*sin(a + b*x)^13)/13 + (512*sin(a + b*x)^15)/15)/b","B"
61,1,36,46,0.137235,"\text{Not used}","int(sin(2*a + 2*b*x)^8/sin(a + b*x)^3,x)","-\frac{256\,\left(99\,{\cos\left(a+b\,x\right)}^{13}-234\,{\cos\left(a+b\,x\right)}^{11}+143\,{\cos\left(a+b\,x\right)}^9\right)}{1287\,b}","Not used",1,"-(256*(143*cos(a + b*x)^9 - 234*cos(a + b*x)^11 + 99*cos(a + b*x)^13))/(1287*b)","B"
62,1,45,61,0.124601,"\text{Not used}","int(sin(2*a + 2*b*x)^7/sin(a + b*x)^3,x)","\frac{-\frac{128\,{\sin\left(a+b\,x\right)}^{11}}{11}+\frac{128\,{\sin\left(a+b\,x\right)}^9}{3}-\frac{384\,{\sin\left(a+b\,x\right)}^7}{7}+\frac{128\,{\sin\left(a+b\,x\right)}^5}{5}}{b}","Not used",1,"((128*sin(a + b*x)^5)/5 - (384*sin(a + b*x)^7)/7 + (128*sin(a + b*x)^9)/3 - (128*sin(a + b*x)^11)/11)/b","B"
63,1,26,31,0.054072,"\text{Not used}","int(sin(2*a + 2*b*x)^6/sin(a + b*x)^3,x)","-\frac{64\,\left(9\,{\cos\left(a+b\,x\right)}^7-7\,{\cos\left(a+b\,x\right)}^9\right)}{63\,b}","Not used",1,"-(64*(9*cos(a + b*x)^7 - 7*cos(a + b*x)^9))/(63*b)","B"
64,1,36,46,0.123765,"\text{Not used}","int(sin(2*a + 2*b*x)^5/sin(a + b*x)^3,x)","\frac{32\,\left(15\,{\sin\left(a+b\,x\right)}^7-42\,{\sin\left(a+b\,x\right)}^5+35\,{\sin\left(a+b\,x\right)}^3\right)}{105\,b}","Not used",1,"(32*(35*sin(a + b*x)^3 - 42*sin(a + b*x)^5 + 15*sin(a + b*x)^7))/(105*b)","B"
65,1,13,15,0.047468,"\text{Not used}","int(sin(2*a + 2*b*x)^4/sin(a + b*x)^3,x)","-\frac{16\,{\cos\left(a+b\,x\right)}^5}{5\,b}","Not used",1,"-(16*cos(a + b*x)^5)/(5*b)","B"
66,1,24,27,0.101989,"\text{Not used}","int(sin(2*a + 2*b*x)^3/sin(a + b*x)^3,x)","\frac{8\,\left(3\,\sin\left(a+b\,x\right)-{\sin\left(a+b\,x\right)}^3\right)}{3\,b}","Not used",1,"(8*(3*sin(a + b*x) - sin(a + b*x)^3))/(3*b)","B"
67,1,22,24,0.112447,"\text{Not used}","int(sin(2*a + 2*b*x)^2/sin(a + b*x)^3,x)","\frac{4\,\cos\left(a+b\,x\right)-4\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{b}","Not used",1,"(4*cos(a + b*x) - 4*atanh(cos(a + b*x)))/b","B"
68,1,13,11,0.037648,"\text{Not used}","int(sin(2*a + 2*b*x)/sin(a + b*x)^3,x)","-\frac{2}{b\,\sin\left(a+b\,x\right)}","Not used",1,"-2/(b*sin(a + b*x))","B"
69,1,38,43,0.126428,"\text{Not used}","int(1/(sin(a + b*x)^3*sin(2*a + 2*b*x)),x)","\frac{\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{2\,b}-\frac{\frac{{\sin\left(a+b\,x\right)}^2}{2}+\frac{1}{6}}{b\,{\sin\left(a+b\,x\right)}^3}","Not used",1,"atanh(sin(a + b*x))/(2*b) - (sin(a + b*x)^2/2 + 1/6)/(b*sin(a + b*x)^3)","B"
70,1,66,70,0.149727,"\text{Not used}","int(1/(sin(a + b*x)^3*sin(2*a + 2*b*x)^2),x)","\frac{\frac{15\,{\cos\left(a+b\,x\right)}^4}{32}-\frac{25\,{\cos\left(a+b\,x\right)}^2}{32}+\frac{1}{4}}{b\,\left({\cos\left(a+b\,x\right)}^5-2\,{\cos\left(a+b\,x\right)}^3+\cos\left(a+b\,x\right)\right)}-\frac{15\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{32\,b}","Not used",1,"((15*cos(a + b*x)^4)/32 - (25*cos(a + b*x)^2)/32 + 1/4)/(b*(cos(a + b*x) - 2*cos(a + b*x)^3 + cos(a + b*x)^5)) - (15*atanh(cos(a + b*x)))/(32*b)","B"
71,1,71,81,0.178835,"\text{Not used}","int(1/(sin(a + b*x)^3*sin(2*a + 2*b*x)^3),x)","\frac{7\,\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{16\,b}-\frac{-\frac{7\,{\sin\left(a+b\,x\right)}^6}{16}+\frac{7\,{\sin\left(a+b\,x\right)}^4}{24}+\frac{7\,{\sin\left(a+b\,x\right)}^2}{120}+\frac{1}{40}}{b\,\left({\sin\left(a+b\,x\right)}^5-{\sin\left(a+b\,x\right)}^7\right)}","Not used",1,"(7*atanh(sin(a + b*x)))/(16*b) - ((7*sin(a + b*x)^2)/120 + (7*sin(a + b*x)^4)/24 - (7*sin(a + b*x)^6)/16 + 1/40)/(b*(sin(a + b*x)^5 - sin(a + b*x)^7))","B"
72,1,100,112,0.226617,"\text{Not used}","int(1/(sin(a + b*x)^3*sin(2*a + 2*b*x)^4),x)","\frac{-\frac{105\,{\cos\left(a+b\,x\right)}^8}{256}+\frac{35\,{\cos\left(a+b\,x\right)}^6}{32}-\frac{231\,{\cos\left(a+b\,x\right)}^4}{256}+\frac{3\,{\cos\left(a+b\,x\right)}^2}{16}+\frac{1}{48}}{b\,\left(-{\cos\left(a+b\,x\right)}^9+3\,{\cos\left(a+b\,x\right)}^7-3\,{\cos\left(a+b\,x\right)}^5+{\cos\left(a+b\,x\right)}^3\right)}-\frac{105\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{256\,b}","Not used",1,"((3*cos(a + b*x)^2)/16 - (231*cos(a + b*x)^4)/256 + (35*cos(a + b*x)^6)/32 - (105*cos(a + b*x)^8)/256 + 1/48)/(b*(cos(a + b*x)^3 - 3*cos(a + b*x)^5 + 3*cos(a + b*x)^7 - cos(a + b*x)^9)) - (105*atanh(cos(a + b*x)))/(256*b)","B"
73,0,-1,136,0.000000,"\text{Not used}","int(sin(a + b*x)*sin(2*a + 2*b*x)^(5/2),x)","\int \sin\left(a+b\,x\right)\,{\sin\left(2\,a+2\,b\,x\right)}^{5/2} \,d x","Not used",1,"int(sin(a + b*x)*sin(2*a + 2*b*x)^(5/2), x)","F"
74,0,-1,110,0.000000,"\text{Not used}","int(sin(a + b*x)*sin(2*a + 2*b*x)^(3/2),x)","\int \sin\left(a+b\,x\right)\,{\sin\left(2\,a+2\,b\,x\right)}^{3/2} \,d x","Not used",1,"int(sin(a + b*x)*sin(2*a + 2*b*x)^(3/2), x)","F"
75,0,-1,84,0.000000,"\text{Not used}","int(sin(a + b*x)*sin(2*a + 2*b*x)^(1/2),x)","\int \sin\left(a+b\,x\right)\,\sqrt{\sin\left(2\,a+2\,b\,x\right)} \,d x","Not used",1,"int(sin(a + b*x)*sin(2*a + 2*b*x)^(1/2), x)","F"
76,0,-1,58,0.000000,"\text{Not used}","int(sin(a + b*x)/sin(2*a + 2*b*x)^(1/2),x)","\int \frac{\sin\left(a+b\,x\right)}{\sqrt{\sin\left(2\,a+2\,b\,x\right)}} \,d x","Not used",1,"int(sin(a + b*x)/sin(2*a + 2*b*x)^(1/2), x)","F"
77,1,34,23,0.284459,"\text{Not used}","int(sin(a + b*x)/sin(2*a + 2*b*x)^(3/2),x)","\frac{\cos\left(a+b\,x\right)\,\sqrt{\sin\left(2\,a+2\,b\,x\right)}}{b\,\left(\cos\left(2\,a+2\,b\,x\right)+1\right)}","Not used",1,"(cos(a + b*x)*sin(2*a + 2*b*x)^(1/2))/(b*(cos(2*a + 2*b*x) + 1))","B"
78,1,108,53,3.079618,"\text{Not used}","int(sin(a + b*x)/sin(2*a + 2*b*x)^(5/2),x)","-\frac{2\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+{\mathrm{e}}^{a\,4{}\mathrm{i}+b\,x\,4{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}{3\,b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^2}","Not used",1,"-(2*exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*(exp(a*2i + b*x*2i)*1i + exp(a*4i + b*x*4i)*1i + 1i))/(3*b*(exp(a*2i + b*x*2i) - 1)*(exp(a*2i + b*x*2i) + 1)^2)","B"
79,1,131,79,3.390605,"\text{Not used}","int(sin(a + b*x)/sin(2*a + 2*b*x)^(7/2),x)","\frac{4\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,\left(2\,{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-3\,{\mathrm{e}}^{a\,4{}\mathrm{i}+b\,x\,4{}\mathrm{i}}+2\,{\mathrm{e}}^{a\,6{}\mathrm{i}+b\,x\,6{}\mathrm{i}}+2\,{\mathrm{e}}^{a\,8{}\mathrm{i}+b\,x\,8{}\mathrm{i}}+2\right)}{15\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(4*exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*(2*exp(a*2i + b*x*2i) - 3*exp(a*4i + b*x*4i) + 2*exp(a*6i + b*x*6i) + 2*exp(a*8i + b*x*8i) + 2))/(15*b*(exp(a*2i + b*x*2i) - 1)^2*(exp(a*2i + b*x*2i) + 1)^3)","B"
80,1,351,105,4.335255,"\text{Not used}","int(sin(a + b*x)/sin(2*a + 2*b*x)^(9/2),x)","-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,1{}\mathrm{i}}{7\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^4}+\frac{16\,{\mathrm{e}}^{a\,3{}\mathrm{i}+b\,x\,3{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{35\,b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left(\frac{1{}\mathrm{i}}{7\,b}+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,8{}\mathrm{i}}{35\,b}\right)\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^2}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left(\frac{16}{35\,b}-\frac{44\,{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}}{35\,b}\right)\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^3}","Not used",1,"(16*exp(a*3i + b*x*3i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(35*b*(exp(a*2i + b*x*2i) - 1)*(exp(a*2i + b*x*2i)*1i + 1i)) - (exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*1i)/(7*b*(exp(a*2i + b*x*2i)*1i + 1i)^4) - (exp(a*1i + b*x*1i)*(1i/(7*b) + (exp(a*2i + b*x*2i)*8i)/(35*b))*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/((exp(a*2i + b*x*2i) - 1)^2*(exp(a*2i + b*x*2i)*1i + 1i)^2) - (exp(a*1i + b*x*1i)*(16/(35*b) - (44*exp(a*2i + b*x*2i))/(35*b))*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/((exp(a*2i + b*x*2i) - 1)^3*(exp(a*2i + b*x*2i)*1i + 1i)^3)","B"
81,0,-1,98,0.000000,"\text{Not used}","int(sin(a + b*x)^2*sin(2*a + 2*b*x)^(7/2),x)","\int {\sin\left(a+b\,x\right)}^2\,{\sin\left(2\,a+2\,b\,x\right)}^{7/2} \,d x","Not used",1,"int(sin(a + b*x)^2*sin(2*a + 2*b*x)^(7/2), x)","F"
82,0,-1,69,0.000000,"\text{Not used}","int(sin(a + b*x)^2*sin(2*a + 2*b*x)^(5/2),x)","\int {\sin\left(a+b\,x\right)}^2\,{\sin\left(2\,a+2\,b\,x\right)}^{5/2} \,d x","Not used",1,"int(sin(a + b*x)^2*sin(2*a + 2*b*x)^(5/2), x)","F"
83,0,-1,69,0.000000,"\text{Not used}","int(sin(a + b*x)^2*sin(2*a + 2*b*x)^(3/2),x)","\int {\sin\left(a+b\,x\right)}^2\,{\sin\left(2\,a+2\,b\,x\right)}^{3/2} \,d x","Not used",1,"int(sin(a + b*x)^2*sin(2*a + 2*b*x)^(3/2), x)","F"
84,0,-1,40,0.000000,"\text{Not used}","int(sin(a + b*x)^2*sin(2*a + 2*b*x)^(1/2),x)","\int {\sin\left(a+b\,x\right)}^2\,\sqrt{\sin\left(2\,a+2\,b\,x\right)} \,d x","Not used",1,"int(sin(a + b*x)^2*sin(2*a + 2*b*x)^(1/2), x)","F"
85,0,-1,40,0.000000,"\text{Not used}","int(sin(a + b*x)^2/sin(2*a + 2*b*x)^(1/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^2}{\sqrt{\sin\left(2\,a+2\,b\,x\right)}} \,d x","Not used",1,"int(sin(a + b*x)^2/sin(2*a + 2*b*x)^(1/2), x)","F"
86,0,-1,45,0.000000,"\text{Not used}","int(sin(a + b*x)^2/sin(2*a + 2*b*x)^(3/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^2}{{\sin\left(2\,a+2\,b\,x\right)}^{3/2}} \,d x","Not used",1,"int(sin(a + b*x)^2/sin(2*a + 2*b*x)^(3/2), x)","F"
87,0,-1,48,0.000000,"\text{Not used}","int(sin(a + b*x)^2/sin(2*a + 2*b*x)^(5/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^2}{{\sin\left(2\,a+2\,b\,x\right)}^{5/2}} \,d x","Not used",1,"int(sin(a + b*x)^2/sin(2*a + 2*b*x)^(5/2), x)","F"
88,0,-1,77,0.000000,"\text{Not used}","int(sin(a + b*x)^2/sin(2*a + 2*b*x)^(7/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^2}{{\sin\left(2\,a+2\,b\,x\right)}^{7/2}} \,d x","Not used",1,"int(sin(a + b*x)^2/sin(2*a + 2*b*x)^(7/2), x)","F"
89,0,-1,136,0.000000,"\text{Not used}","int(sin(a + b*x)^3*sin(2*a + 2*b*x)^(3/2),x)","\int {\sin\left(a+b\,x\right)}^3\,{\sin\left(2\,a+2\,b\,x\right)}^{3/2} \,d x","Not used",1,"int(sin(a + b*x)^3*sin(2*a + 2*b*x)^(3/2), x)","F"
90,0,-1,110,0.000000,"\text{Not used}","int(sin(a + b*x)^3*sin(2*a + 2*b*x)^(1/2),x)","\int {\sin\left(a+b\,x\right)}^3\,\sqrt{\sin\left(2\,a+2\,b\,x\right)} \,d x","Not used",1,"int(sin(a + b*x)^3*sin(2*a + 2*b*x)^(1/2), x)","F"
91,0,-1,84,0.000000,"\text{Not used}","int(sin(a + b*x)^3/sin(2*a + 2*b*x)^(1/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^3}{\sqrt{\sin\left(2\,a+2\,b\,x\right)}} \,d x","Not used",1,"int(sin(a + b*x)^3/sin(2*a + 2*b*x)^(1/2), x)","F"
92,0,-1,81,0.000000,"\text{Not used}","int(sin(a + b*x)^3/sin(2*a + 2*b*x)^(3/2),x)","\int \frac{{\sin\left(a+b\,x\right)}^3}{{\sin\left(2\,a+2\,b\,x\right)}^{3/2}} \,d x","Not used",1,"int(sin(a + b*x)^3/sin(2*a + 2*b*x)^(3/2), x)","F"
93,1,85,28,2.193690,"\text{Not used}","int(sin(a + b*x)^3/sin(2*a + 2*b*x)^(5/2),x)","-\frac{\sqrt{\sin\left(2\,a+2\,b\,x\right)}\,\left(2\,\sin\left(a+b\,x\right)+3\,\sin\left(3\,a+3\,b\,x\right)+\sin\left(5\,a+5\,b\,x\right)\right)}{6\,b\,\left(30\,{\sin\left(a+b\,x\right)}^2+12\,{\sin\left(2\,a+2\,b\,x\right)}^2+2\,{\sin\left(3\,a+3\,b\,x\right)}^2-32\right)}","Not used",1,"-(sin(2*a + 2*b*x)^(1/2)*(2*sin(a + b*x) + 3*sin(3*a + 3*b*x) + sin(5*a + 5*b*x)))/(6*b*(12*sin(2*a + 2*b*x)^2 + 2*sin(3*a + 3*b*x)^2 + 30*sin(a + b*x)^2 - 32))","B"
94,1,88,55,3.259854,"\text{Not used}","int(sin(a + b*x)^3/sin(2*a + 2*b*x)^(7/2),x)","\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,\left(3\,{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+{\mathrm{e}}^{a\,4{}\mathrm{i}+b\,x\,4{}\mathrm{i}}+1\right)}{5\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^3}","Not used",1,"(exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*(3*exp(a*2i + b*x*2i) + exp(a*4i + b*x*4i) + 1))/(5*b*(exp(a*2i + b*x*2i) + 1)^3)","B"
95,1,300,81,3.713061,"\text{Not used}","int(sin(a + b*x)^3/sin(2*a + 2*b*x)^(9/2),x)","-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,5{}\mathrm{i}}{84\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^2}+\frac{3\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{14\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^3}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,1{}\mathrm{i}}{7\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^4}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left(\frac{5}{84\,b}+\frac{4\,{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}}{21\,b}\right)\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}","Not used",1,"(3*exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(14*b*(exp(a*2i + b*x*2i)*1i + 1i)^3) - (exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*5i)/(84*b*(exp(a*2i + b*x*2i)*1i + 1i)^2) - (exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*1i)/(7*b*(exp(a*2i + b*x*2i)*1i + 1i)^4) + (exp(a*1i + b*x*1i)*(5/(84*b) + (4*exp(a*2i + b*x*2i))/(21*b))*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/((exp(a*2i + b*x*2i) - 1)*(exp(a*2i + b*x*2i)*1i + 1i))","B"
96,1,383,107,5.160675,"\text{Not used}","int(sin(a + b*x)^3/sin(2*a + 2*b*x)^(11/2),x)","-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,1{}\mathrm{i}}{60\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^3}-\frac{2\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{9\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^4}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,1{}\mathrm{i}}{9\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^5}+\frac{{\mathrm{e}}^{a\,3{}\mathrm{i}+b\,x\,3{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,8{}\mathrm{i}}{45\,b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left(\frac{49}{180\,b}-\frac{19\,{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}}{180\,b}\right)\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}^2}","Not used",1,"(exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*1i)/(9*b*(exp(a*2i + b*x*2i)*1i + 1i)^5) - (2*exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(9*b*(exp(a*2i + b*x*2i)*1i + 1i)^4) - (exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*1i)/(60*b*(exp(a*2i + b*x*2i)*1i + 1i)^3) + (exp(a*3i + b*x*3i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*8i)/(45*b*(exp(a*2i + b*x*2i) - 1)*(exp(a*2i + b*x*2i)*1i + 1i)) - (exp(a*1i + b*x*1i)*(49/(180*b) - (19*exp(a*2i + b*x*2i))/(180*b))*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/((exp(a*2i + b*x*2i) - 1)^2*(exp(a*2i + b*x*2i)*1i + 1i)^2)","B"
97,0,-1,136,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^(7/2)/sin(a + b*x),x)","\int \frac{{\sin\left(2\,a+2\,b\,x\right)}^{7/2}}{\sin\left(a+b\,x\right)} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^(7/2)/sin(a + b*x), x)","F"
98,0,-1,110,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^(5/2)/sin(a + b*x),x)","\int \frac{{\sin\left(2\,a+2\,b\,x\right)}^{5/2}}{\sin\left(a+b\,x\right)} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^(5/2)/sin(a + b*x), x)","F"
99,0,-1,81,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^(3/2)/sin(a + b*x),x)","\int \frac{{\sin\left(2\,a+2\,b\,x\right)}^{3/2}}{\sin\left(a+b\,x\right)} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^(3/2)/sin(a + b*x), x)","F"
100,0,-1,53,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^(1/2)/sin(a + b*x),x)","\int \frac{\sqrt{\sin\left(2\,a+2\,b\,x\right)}}{\sin\left(a+b\,x\right)} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^(1/2)/sin(a + b*x), x)","F"
101,1,24,24,0.307622,"\text{Not used}","int(1/(sin(a + b*x)*sin(2*a + 2*b*x)^(1/2)),x)","-\frac{\sqrt{\sin\left(2\,a+2\,b\,x\right)}}{b\,\sin\left(a+b\,x\right)}","Not used",1,"-sin(2*a + 2*b*x)^(1/2)/(b*sin(a + b*x))","B"
102,1,103,53,2.961968,"\text{Not used}","int(1/(sin(a + b*x)*sin(2*a + 2*b*x)^(3/2)),x)","\frac{4\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,\left(1+{\mathrm{e}}^{a\,4{}\mathrm{i}+b\,x\,4{}\mathrm{i}}-{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\right)}{3\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^2\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}","Not used",1,"(4*exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*(exp(a*4i + b*x*4i) - exp(a*2i + b*x*2i) + 1))/(3*b*(exp(a*2i + b*x*2i) - 1)^2*(exp(a*2i + b*x*2i) + 1))","B"
103,1,136,79,3.362360,"\text{Not used}","int(1/(sin(a + b*x)*sin(2*a + 2*b*x)^(5/2)),x)","\frac{8\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,2{}\mathrm{i}+{\mathrm{e}}^{a\,4{}\mathrm{i}+b\,x\,4{}\mathrm{i}}\,3{}\mathrm{i}+{\mathrm{e}}^{a\,6{}\mathrm{i}+b\,x\,6{}\mathrm{i}}\,2{}\mathrm{i}-{\mathrm{e}}^{a\,8{}\mathrm{i}+b\,x\,8{}\mathrm{i}}\,2{}\mathrm{i}-2{}\mathrm{i}\right)}{15\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^2}","Not used",1,"(8*exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*(exp(a*2i + b*x*2i)*2i + exp(a*4i + b*x*4i)*3i + exp(a*6i + b*x*6i)*2i - exp(a*8i + b*x*8i)*2i - 2i))/(15*b*(exp(a*2i + b*x*2i) - 1)^3*(exp(a*2i + b*x*2i) + 1)^2)","B"
104,1,350,105,4.130387,"\text{Not used}","int(1/(sin(a + b*x)*sin(2*a + 2*b*x)^(7/2)),x)","-\frac{2\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{7\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^4}+\frac{{\mathrm{e}}^{a\,3{}\mathrm{i}+b\,x\,3{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,32{}\mathrm{i}}{35\,b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left(\frac{2}{7\,b}-\frac{16\,{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}}{35\,b}\right)\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left(\frac{32{}\mathrm{i}}{35\,b}+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,88{}\mathrm{i}}{35\,b}\right)\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^3}","Not used",1,"(exp(a*3i + b*x*3i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*32i)/(35*b*(exp(a*2i + b*x*2i) + 1)*(exp(a*2i + b*x*2i)*1i - 1i)) - (2*exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(7*b*(exp(a*2i + b*x*2i)*1i - 1i)^4) - (exp(a*1i + b*x*1i)*(2/(7*b) - (16*exp(a*2i + b*x*2i))/(35*b))*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/((exp(a*2i + b*x*2i) + 1)^2*(exp(a*2i + b*x*2i)*1i - 1i)^2) + (exp(a*1i + b*x*1i)*(32i/(35*b) + (exp(a*2i + b*x*2i)*88i)/(35*b))*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/((exp(a*2i + b*x*2i) + 1)^3*(exp(a*2i + b*x*2i)*1i - 1i)^3)","B"
105,0,-1,106,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^(9/2)/sin(a + b*x)^2,x)","\int \frac{{\sin\left(2\,a+2\,b\,x\right)}^{9/2}}{{\sin\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^(9/2)/sin(a + b*x)^2, x)","F"
106,0,-1,106,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^(7/2)/sin(a + b*x)^2,x)","\int \frac{{\sin\left(2\,a+2\,b\,x\right)}^{7/2}}{{\sin\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^(7/2)/sin(a + b*x)^2, x)","F"
107,0,-1,75,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^(5/2)/sin(a + b*x)^2,x)","\int \frac{{\sin\left(2\,a+2\,b\,x\right)}^{5/2}}{{\sin\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^(5/2)/sin(a + b*x)^2, x)","F"
108,0,-1,70,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^(3/2)/sin(a + b*x)^2,x)","\int \frac{{\sin\left(2\,a+2\,b\,x\right)}^{3/2}}{{\sin\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^(3/2)/sin(a + b*x)^2, x)","F"
109,0,-1,44,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^(1/2)/sin(a + b*x)^2,x)","\int \frac{\sqrt{\sin\left(2\,a+2\,b\,x\right)}}{{\sin\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^(1/2)/sin(a + b*x)^2, x)","F"
110,0,-1,48,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^(1/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^2\,\sqrt{\sin\left(2\,a+2\,b\,x\right)}} \,d x","Not used",1,"int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^(1/2)), x)","F"
111,0,-1,77,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^(3/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^2\,{\sin\left(2\,a+2\,b\,x\right)}^{3/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^(3/2)), x)","F"
112,0,-1,77,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^(5/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^2\,{\sin\left(2\,a+2\,b\,x\right)}^{5/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^(5/2)), x)","F"
113,0,-1,106,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^(7/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^2\,{\sin\left(2\,a+2\,b\,x\right)}^{7/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^(7/2)), x)","F"
114,0,-1,106,0.000000,"\text{Not used}","int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^(9/2)),x)","\int \frac{1}{{\sin\left(a+b\,x\right)}^2\,{\sin\left(2\,a+2\,b\,x\right)}^{9/2}} \,d x","Not used",1,"int(1/(sin(a + b*x)^2*sin(2*a + 2*b*x)^(9/2)), x)","F"
115,0,-1,190,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^(9/2)/sin(a + b*x)^3,x)","\int \frac{{\sin\left(2\,a+2\,b\,x\right)}^{9/2}}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^(9/2)/sin(a + b*x)^3, x)","F"
116,0,-1,164,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^(7/2)/sin(a + b*x)^3,x)","\int \frac{{\sin\left(2\,a+2\,b\,x\right)}^{7/2}}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^(7/2)/sin(a + b*x)^3, x)","F"
117,0,-1,127,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^(5/2)/sin(a + b*x)^3,x)","\int \frac{{\sin\left(2\,a+2\,b\,x\right)}^{5/2}}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^(5/2)/sin(a + b*x)^3, x)","F"
118,0,-1,104,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^(3/2)/sin(a + b*x)^3,x)","\int \frac{{\sin\left(2\,a+2\,b\,x\right)}^{3/2}}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^(3/2)/sin(a + b*x)^3, x)","F"
119,1,95,28,1.499737,"\text{Not used}","int(sin(2*a + 2*b*x)^(1/2)/sin(a + b*x)^3,x)","\frac{4\,\sqrt{\sin\left(2\,a+2\,b\,x\right)}\,\left(4\,{\sin\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2-6\,{\sin\left(\frac{3\,a}{2}+\frac{3\,b\,x}{2}\right)}^2+2\,{\sin\left(\frac{5\,a}{2}+\frac{5\,b\,x}{2}\right)}^2\right)}{3\,b\,\left(30\,{\sin\left(a+b\,x\right)}^2-12\,{\sin\left(2\,a+2\,b\,x\right)}^2+2\,{\sin\left(3\,a+3\,b\,x\right)}^2\right)}","Not used",1,"(4*sin(2*a + 2*b*x)^(1/2)*(4*sin(a/2 + (b*x)/2)^2 - 6*sin((3*a)/2 + (3*b*x)/2)^2 + 2*sin((5*a)/2 + (5*b*x)/2)^2))/(3*b*(2*sin(3*a + 3*b*x)^2 - 12*sin(2*a + 2*b*x)^2 + 30*sin(a + b*x)^2))","B"
120,1,93,55,3.161803,"\text{Not used}","int(1/(sin(a + b*x)^3*sin(2*a + 2*b*x)^(1/2)),x)","-\frac{8\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,\left(-{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,3{}\mathrm{i}+{\mathrm{e}}^{a\,4{}\mathrm{i}+b\,x\,4{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}{5\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3}","Not used",1,"-(8*exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*(exp(a*4i + b*x*4i)*1i - exp(a*2i + b*x*2i)*3i + 1i))/(5*b*(exp(a*2i + b*x*2i) - 1)^3)","B"
121,1,302,81,3.699896,"\text{Not used}","int(1/(sin(a + b*x)^3*sin(2*a + 2*b*x)^(3/2)),x)","-\frac{10\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{21\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,12{}\mathrm{i}}{7\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^3}-\frac{8\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{7\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^4}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left(\frac{10{}\mathrm{i}}{21\,b}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,32{}\mathrm{i}}{21\,b}\right)\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}","Not used",1,"(exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*12i)/(7*b*(exp(a*2i + b*x*2i)*1i - 1i)^3) - (10*exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(21*b*(exp(a*2i + b*x*2i)*1i - 1i)^2) - (8*exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(7*b*(exp(a*2i + b*x*2i)*1i - 1i)^4) - (exp(a*1i + b*x*1i)*(10i/(21*b) - (exp(a*2i + b*x*2i)*32i)/(21*b))*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/((exp(a*2i + b*x*2i) + 1)*(exp(a*2i + b*x*2i)*1i - 1i))","B"
122,1,383,107,4.988792,"\text{Not used}","int(1/(sin(a + b*x)^3*sin(2*a + 2*b*x)^(5/2)),x)","-\frac{2\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{15\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^3}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,16{}\mathrm{i}}{9\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^4}+\frac{8\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{9\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^5}+\frac{64\,{\mathrm{e}}^{a\,3{}\mathrm{i}+b\,x\,3{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{45\,b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left(\frac{98{}\mathrm{i}}{45\,b}+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,38{}\mathrm{i}}{45\,b}\right)\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^2}","Not used",1,"(8*exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(9*b*(exp(a*2i + b*x*2i)*1i - 1i)^5) - (exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*16i)/(9*b*(exp(a*2i + b*x*2i)*1i - 1i)^4) - (2*exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(15*b*(exp(a*2i + b*x*2i)*1i - 1i)^3) + (64*exp(a*3i + b*x*3i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(45*b*(exp(a*2i + b*x*2i) + 1)*(exp(a*2i + b*x*2i)*1i - 1i)) - (exp(a*1i + b*x*1i)*(98i/(45*b) + (exp(a*2i + b*x*2i)*38i)/(45*b))*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/((exp(a*2i + b*x*2i) + 1)^2*(exp(a*2i + b*x*2i)*1i - 1i)^2)","B"
123,0,-1,84,0.000000,"\text{Not used}","int(sin(a + b*x)^3*sin(2*a + 2*b*x)^m,x)","\int {\sin\left(a+b\,x\right)}^3\,{\sin\left(2\,a+2\,b\,x\right)}^m \,d x","Not used",1,"int(sin(a + b*x)^3*sin(2*a + 2*b*x)^m, x)","F"
124,0,-1,84,0.000000,"\text{Not used}","int(sin(a + b*x)^2*sin(2*a + 2*b*x)^m,x)","\int {\sin\left(a+b\,x\right)}^2\,{\sin\left(2\,a+2\,b\,x\right)}^m \,d x","Not used",1,"int(sin(a + b*x)^2*sin(2*a + 2*b*x)^m, x)","F"
125,0,-1,82,0.000000,"\text{Not used}","int(sin(a + b*x)*sin(2*a + 2*b*x)^m,x)","\int \sin\left(a+b\,x\right)\,{\sin\left(2\,a+2\,b\,x\right)}^m \,d x","Not used",1,"int(sin(a + b*x)*sin(2*a + 2*b*x)^m, x)","F"
126,0,-1,72,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^m/sin(a + b*x),x)","\int \frac{{\sin\left(2\,a+2\,b\,x\right)}^m}{\sin\left(a+b\,x\right)} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^m/sin(a + b*x), x)","F"
127,0,-1,85,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^m/sin(a + b*x)^2,x)","\int \frac{{\sin\left(2\,a+2\,b\,x\right)}^m}{{\sin\left(a+b\,x\right)}^2} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^m/sin(a + b*x)^2, x)","F"
128,0,-1,85,0.000000,"\text{Not used}","int(sin(2*a + 2*b*x)^m/sin(a + b*x)^3,x)","\int \frac{{\sin\left(2\,a+2\,b\,x\right)}^m}{{\sin\left(a+b\,x\right)}^3} \,d x","Not used",1,"int(sin(2*a + 2*b*x)^m/sin(a + b*x)^3, x)","F"
129,1,46,61,0.034843,"\text{Not used}","int(cos(a + b*x)*sin(2*a + 2*b*x)^7,x)","-\frac{-\frac{128\,{\cos\left(a+b\,x\right)}^{15}}{15}+\frac{384\,{\cos\left(a+b\,x\right)}^{13}}{13}-\frac{384\,{\cos\left(a+b\,x\right)}^{11}}{11}+\frac{128\,{\cos\left(a+b\,x\right)}^9}{9}}{b}","Not used",1,"-((128*cos(a + b*x)^9)/9 - (384*cos(a + b*x)^11)/11 + (384*cos(a + b*x)^13)/13 - (128*cos(a + b*x)^15)/15)/b","B"
130,1,45,61,0.131614,"\text{Not used}","int(cos(a + b*x)*sin(2*a + 2*b*x)^6,x)","\frac{-\frac{64\,{\sin\left(a+b\,x\right)}^{13}}{13}+\frac{192\,{\sin\left(a+b\,x\right)}^{11}}{11}-\frac{64\,{\sin\left(a+b\,x\right)}^9}{3}+\frac{64\,{\sin\left(a+b\,x\right)}^7}{7}}{b}","Not used",1,"((64*sin(a + b*x)^7)/7 - (64*sin(a + b*x)^9)/3 + (192*sin(a + b*x)^11)/11 - (64*sin(a + b*x)^13)/13)/b","B"
131,1,36,46,0.145857,"\text{Not used}","int(cos(a + b*x)*sin(2*a + 2*b*x)^5,x)","-\frac{32\,\left(63\,{\cos\left(a+b\,x\right)}^{11}-154\,{\cos\left(a+b\,x\right)}^9+99\,{\cos\left(a+b\,x\right)}^7\right)}{693\,b}","Not used",1,"-(32*(99*cos(a + b*x)^7 - 154*cos(a + b*x)^9 + 63*cos(a + b*x)^11))/(693*b)","B"
132,1,36,46,0.140585,"\text{Not used}","int(cos(a + b*x)*sin(2*a + 2*b*x)^4,x)","\frac{16\,\left(35\,{\sin\left(a+b\,x\right)}^9-90\,{\sin\left(a+b\,x\right)}^7+63\,{\sin\left(a+b\,x\right)}^5\right)}{315\,b}","Not used",1,"(16*(63*sin(a + b*x)^5 - 90*sin(a + b*x)^7 + 35*sin(a + b*x)^9))/(315*b)","B"
133,1,26,31,0.031722,"\text{Not used}","int(cos(a + b*x)*sin(2*a + 2*b*x)^3,x)","-\frac{8\,\left(7\,{\cos\left(a+b\,x\right)}^5-5\,{\cos\left(a+b\,x\right)}^7\right)}{35\,b}","Not used",1,"-(8*(7*cos(a + b*x)^5 - 5*cos(a + b*x)^7))/(35*b)","B"
134,1,26,31,0.028368,"\text{Not used}","int(cos(a + b*x)*sin(2*a + 2*b*x)^2,x)","\frac{4\,\left(5\,{\sin\left(a+b\,x\right)}^3-3\,{\sin\left(a+b\,x\right)}^5\right)}{15\,b}","Not used",1,"(4*(5*sin(a + b*x)^3 - 3*sin(a + b*x)^5))/(15*b)","B"
135,1,43,30,0.191647,"\text{Not used}","int(cos(a + b*x)*sin(2*a + 2*b*x),x)","\left\{\begin{array}{cl} x\,\left(2\,\sin\left(a\right)-2\,{\sin\left(a\right)}^3\right) & \text{\ if\ \ }b=0\\ -\frac{3\,\cos\left(a+b\,x\right)+\cos\left(3\,a+3\,b\,x\right)}{6\,b} & \text{\ if\ \ }b\neq 0 \end{array}\right.","Not used",1,"piecewise(b == 0, x*(2*sin(a) - 2*sin(a)^3), b ~= 0, -(3*cos(a + b*x) + cos(3*a + 3*b*x))/(6*b))","B"
136,1,12,14,0.021795,"\text{Not used}","int(cos(a + b*x)/sin(2*a + 2*b*x),x)","-\frac{\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{2\,b}","Not used",1,"-atanh(cos(a + b*x))/(2*b)","B"
137,1,26,28,0.023703,"\text{Not used}","int(cos(a + b*x)/sin(2*a + 2*b*x)^2,x)","\frac{\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{4\,b}-\frac{1}{4\,b\,\sin\left(a+b\,x\right)}","Not used",1,"atanh(sin(a + b*x))/(4*b) - 1/(4*b*sin(a + b*x))","B"
138,1,49,49,0.082682,"\text{Not used}","int(cos(a + b*x)/sin(2*a + 2*b*x)^3,x)","-\frac{3\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{16\,b}-\frac{\frac{3\,{\cos\left(a+b\,x\right)}^2}{16}-\frac{1}{8}}{b\,\left(\cos\left(a+b\,x\right)-{\cos\left(a+b\,x\right)}^3\right)}","Not used",1,"- (3*atanh(cos(a + b*x)))/(16*b) - ((3*cos(a + b*x)^2)/16 - 1/8)/(b*(cos(a + b*x) - cos(a + b*x)^3))","B"
139,1,61,66,0.098396,"\text{Not used}","int(cos(a + b*x)/sin(2*a + 2*b*x)^4,x)","\frac{5\,\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{32\,b}-\frac{-\frac{5\,{\sin\left(a+b\,x\right)}^4}{32}+\frac{5\,{\sin\left(a+b\,x\right)}^2}{48}+\frac{1}{48}}{b\,\left({\sin\left(a+b\,x\right)}^3-{\sin\left(a+b\,x\right)}^5\right)}","Not used",1,"(5*atanh(sin(a + b*x)))/(32*b) - ((5*sin(a + b*x)^2)/48 - (5*sin(a + b*x)^4)/32 + 1/48)/(b*(sin(a + b*x)^3 - sin(a + b*x)^5))","B"
140,1,78,89,0.118957,"\text{Not used}","int(cos(a + b*x)/sin(2*a + 2*b*x)^5,x)","\frac{\frac{35\,{\cos\left(a+b\,x\right)}^6}{256}-\frac{175\,{\cos\left(a+b\,x\right)}^4}{768}+\frac{7\,{\cos\left(a+b\,x\right)}^2}{96}+\frac{1}{96}}{b\,\left({\cos\left(a+b\,x\right)}^7-2\,{\cos\left(a+b\,x\right)}^5+{\cos\left(a+b\,x\right)}^3\right)}-\frac{35\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{256\,b}","Not used",1,"((7*cos(a + b*x)^2)/96 - (175*cos(a + b*x)^4)/768 + (35*cos(a + b*x)^6)/256 + 1/96)/(b*(cos(a + b*x)^3 - 2*cos(a + b*x)^5 + cos(a + b*x)^7)) - (35*atanh(cos(a + b*x)))/(256*b)","B"
141,1,35,44,0.175264,"\text{Not used}","int(cos(a + b*x)^2*sin(2*a + 2*b*x)^5,x)","-\frac{4\,{\cos\left(a+b\,x\right)}^8\,\left(10\,{\cos\left(a+b\,x\right)}^4-24\,{\cos\left(a+b\,x\right)}^2+15\right)}{15\,b}","Not used",1,"-(4*cos(a + b*x)^8*(10*cos(a + b*x)^4 - 24*cos(a + b*x)^2 + 15))/(15*b)","B"
142,1,109,76,1.726708,"\text{Not used}","int(cos(a + b*x)^2*sin(2*a + 2*b*x)^4,x)","\frac{3\,x}{16}+\frac{\frac{3\,{\mathrm{tan}\left(a+b\,x\right)}^9}{16}+\frac{7\,{\mathrm{tan}\left(a+b\,x\right)}^7}{8}+\frac{8\,{\mathrm{tan}\left(a+b\,x\right)}^5}{5}-\frac{7\,{\mathrm{tan}\left(a+b\,x\right)}^3}{8}-\frac{3\,\mathrm{tan}\left(a+b\,x\right)}{16}}{b\,\left({\mathrm{tan}\left(a+b\,x\right)}^{10}+5\,{\mathrm{tan}\left(a+b\,x\right)}^8+10\,{\mathrm{tan}\left(a+b\,x\right)}^6+10\,{\mathrm{tan}\left(a+b\,x\right)}^4+5\,{\mathrm{tan}\left(a+b\,x\right)}^2+1\right)}","Not used",1,"(3*x)/16 + ((8*tan(a + b*x)^5)/5 - (7*tan(a + b*x)^3)/8 - (3*tan(a + b*x))/16 + (7*tan(a + b*x)^7)/8 + (3*tan(a + b*x)^9)/16)/(b*(5*tan(a + b*x)^2 + 10*tan(a + b*x)^4 + 10*tan(a + b*x)^6 + 5*tan(a + b*x)^8 + tan(a + b*x)^10 + 1))","B"
143,1,26,28,0.143964,"\text{Not used}","int(cos(a + b*x)^2*sin(2*a + 2*b*x)^3,x)","-\frac{\frac{4\,{\cos\left(a+b\,x\right)}^6}{3}-{\cos\left(a+b\,x\right)}^8}{b}","Not used",1,"-((4*cos(a + b*x)^6)/3 - cos(a + b*x)^8)/b","B"
144,1,43,49,0.312702,"\text{Not used}","int(cos(a + b*x)^2*sin(2*a + 2*b*x)^2,x)","\frac{x}{4}-\frac{\frac{\sin\left(4\,a+4\,b\,x\right)}{16}-\frac{\sin\left(2\,a+2\,b\,x\right)}{16}+\frac{\sin\left(6\,a+6\,b\,x\right)}{48}}{b}","Not used",1,"x/4 - (sin(4*a + 4*b*x)/16 - sin(2*a + 2*b*x)/16 + sin(6*a + 6*b*x)/48)/b","B"
145,1,13,15,0.152823,"\text{Not used}","int(cos(a + b*x)^2*sin(2*a + 2*b*x),x)","-\frac{{\cos\left(a+b\,x\right)}^4}{2\,b}","Not used",1,"-cos(a + b*x)^4/(2*b)","B"
146,1,14,14,0.156631,"\text{Not used}","int(cos(a + b*x)^2/sin(2*a + 2*b*x),x)","\frac{\ln\left({\sin\left(a+b\,x\right)}^2\right)}{4\,b}","Not used",1,"log(sin(a + b*x)^2)/(4*b)","B"
147,1,11,13,0.142187,"\text{Not used}","int(cos(a + b*x)^2/sin(2*a + 2*b*x)^2,x)","-\frac{\mathrm{cot}\left(a+b\,x\right)}{4\,b}","Not used",1,"-cot(a + b*x)/(4*b)","B"
148,1,36,30,0.178097,"\text{Not used}","int(cos(a + b*x)^2/sin(2*a + 2*b*x)^3,x)","-\frac{\frac{\ln\left(\cos\left(a+b\,x\right)\right)}{8}-\frac{\ln\left({\sin\left(a+b\,x\right)}^2\right)}{16}+\frac{1}{16\,{\sin\left(a+b\,x\right)}^2}}{b}","Not used",1,"-(log(cos(a + b*x))/8 - log(sin(a + b*x)^2)/16 + 1/(16*sin(a + b*x)^2))/b","B"
149,1,37,42,0.184274,"\text{Not used}","int(cos(a + b*x)^2/sin(2*a + 2*b*x)^4,x)","\frac{\mathrm{tan}\left(a+b\,x\right)}{16\,b}-\frac{\frac{{\mathrm{tan}\left(a+b\,x\right)}^2}{8}+\frac{1}{48}}{b\,{\mathrm{tan}\left(a+b\,x\right)}^3}","Not used",1,"tan(a + b*x)/(16*b) - (tan(a + b*x)^2/8 + 1/48)/(b*tan(a + b*x)^3)","B"
150,1,82,60,0.144019,"\text{Not used}","int(cos(a + b*x)^2/sin(2*a + 2*b*x)^5,x)","\frac{3\,\ln\left({\sin\left(a+b\,x\right)}^2\right)}{64\,b}-\frac{3\,\ln\left(\cos\left(a+b\,x\right)\right)}{32\,b}+\frac{\frac{3\,{\cos\left(a+b\,x\right)}^4}{64}-\frac{9\,{\cos\left(a+b\,x\right)}^2}{128}+\frac{1}{64}}{b\,\left({\cos\left(a+b\,x\right)}^6-2\,{\cos\left(a+b\,x\right)}^4+{\cos\left(a+b\,x\right)}^2\right)}","Not used",1,"(3*log(sin(a + b*x)^2))/(64*b) - (3*log(cos(a + b*x)))/(32*b) + ((3*cos(a + b*x)^4)/64 - (9*cos(a + b*x)^2)/128 + 1/64)/(b*(cos(a + b*x)^2 - 2*cos(a + b*x)^4 + cos(a + b*x)^6))","B"
151,1,36,46,0.071086,"\text{Not used}","int(cos(a + b*x)^3*sin(2*a + 2*b*x)^5,x)","-\frac{32\,\left(99\,{\cos\left(a+b\,x\right)}^{13}-234\,{\cos\left(a+b\,x\right)}^{11}+143\,{\cos\left(a+b\,x\right)}^9\right)}{1287\,b}","Not used",1,"-(32*(143*cos(a + b*x)^9 - 234*cos(a + b*x)^11 + 99*cos(a + b*x)^13))/(1287*b)","B"
152,1,45,61,0.061412,"\text{Not used}","int(cos(a + b*x)^3*sin(2*a + 2*b*x)^4,x)","\frac{-\frac{16\,{\sin\left(a+b\,x\right)}^{11}}{11}+\frac{16\,{\sin\left(a+b\,x\right)}^9}{3}-\frac{48\,{\sin\left(a+b\,x\right)}^7}{7}+\frac{16\,{\sin\left(a+b\,x\right)}^5}{5}}{b}","Not used",1,"((16*sin(a + b*x)^5)/5 - (48*sin(a + b*x)^7)/7 + (16*sin(a + b*x)^9)/3 - (16*sin(a + b*x)^11)/11)/b","B"
153,1,26,31,0.152028,"\text{Not used}","int(cos(a + b*x)^3*sin(2*a + 2*b*x)^3,x)","-\frac{8\,\left(9\,{\cos\left(a+b\,x\right)}^7-7\,{\cos\left(a+b\,x\right)}^9\right)}{63\,b}","Not used",1,"-(8*(9*cos(a + b*x)^7 - 7*cos(a + b*x)^9))/(63*b)","B"
154,1,36,46,0.159893,"\text{Not used}","int(cos(a + b*x)^3*sin(2*a + 2*b*x)^2,x)","\frac{4\,\left(15\,{\sin\left(a+b\,x\right)}^7-42\,{\sin\left(a+b\,x\right)}^5+35\,{\sin\left(a+b\,x\right)}^3\right)}{105\,b}","Not used",1,"(4*(35*sin(a + b*x)^3 - 42*sin(a + b*x)^5 + 15*sin(a + b*x)^7))/(105*b)","B"
155,1,13,15,0.142338,"\text{Not used}","int(cos(a + b*x)^3*sin(2*a + 2*b*x),x)","-\frac{2\,{\cos\left(a+b\,x\right)}^5}{5\,b}","Not used",1,"-(2*cos(a + b*x)^5)/(5*b)","B"
156,1,22,28,0.052587,"\text{Not used}","int(cos(a + b*x)^3/sin(2*a + 2*b*x),x)","\frac{\frac{\cos\left(a+b\,x\right)}{2}-\frac{\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{2}}{b}","Not used",1,"(cos(a + b*x)/2 - atanh(cos(a + b*x))/2)/b","B"
157,1,13,13,0.023367,"\text{Not used}","int(cos(a + b*x)^3/sin(2*a + 2*b*x)^2,x)","-\frac{1}{4\,b\,\sin\left(a+b\,x\right)}","Not used",1,"-1/(4*b*sin(a + b*x))","B"
158,1,36,34,0.059012,"\text{Not used}","int(cos(a + b*x)^3/sin(2*a + 2*b*x)^3,x)","\frac{\cos\left(a+b\,x\right)}{16\,b\,\left({\cos\left(a+b\,x\right)}^2-1\right)}-\frac{\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{16\,b}","Not used",1,"cos(a + b*x)/(16*b*(cos(a + b*x)^2 - 1)) - atanh(cos(a + b*x))/(16*b)","B"
159,1,38,43,0.064233,"\text{Not used}","int(cos(a + b*x)^3/sin(2*a + 2*b*x)^4,x)","\frac{\mathrm{atanh}\left(\sin\left(a+b\,x\right)\right)}{16\,b}-\frac{\frac{{\sin\left(a+b\,x\right)}^2}{16}+\frac{1}{48}}{b\,{\sin\left(a+b\,x\right)}^3}","Not used",1,"atanh(sin(a + b*x))/(16*b) - (sin(a + b*x)^2/16 + 1/48)/(b*sin(a + b*x)^3)","B"
160,1,66,70,0.186367,"\text{Not used}","int(cos(a + b*x)^3/sin(2*a + 2*b*x)^5,x)","\frac{\frac{15\,{\cos\left(a+b\,x\right)}^4}{256}-\frac{25\,{\cos\left(a+b\,x\right)}^2}{256}+\frac{1}{32}}{b\,\left({\cos\left(a+b\,x\right)}^5-2\,{\cos\left(a+b\,x\right)}^3+\cos\left(a+b\,x\right)\right)}-\frac{15\,\mathrm{atanh}\left(\cos\left(a+b\,x\right)\right)}{256\,b}","Not used",1,"((15*cos(a + b*x)^4)/256 - (25*cos(a + b*x)^2)/256 + 1/32)/(b*(cos(a + b*x) - 2*cos(a + b*x)^3 + cos(a + b*x)^5)) - (15*atanh(cos(a + b*x)))/(256*b)","B"
161,0,-1,136,0.000000,"\text{Not used}","int(cos(a + b*x)*sin(2*a + 2*b*x)^(5/2),x)","\int \cos\left(a+b\,x\right)\,{\sin\left(2\,a+2\,b\,x\right)}^{5/2} \,d x","Not used",1,"int(cos(a + b*x)*sin(2*a + 2*b*x)^(5/2), x)","F"
162,0,-1,110,0.000000,"\text{Not used}","int(cos(a + b*x)*sin(2*a + 2*b*x)^(3/2),x)","\int \cos\left(a+b\,x\right)\,{\sin\left(2\,a+2\,b\,x\right)}^{3/2} \,d x","Not used",1,"int(cos(a + b*x)*sin(2*a + 2*b*x)^(3/2), x)","F"
163,0,-1,84,0.000000,"\text{Not used}","int(cos(a + b*x)*sin(2*a + 2*b*x)^(1/2),x)","\int \cos\left(a+b\,x\right)\,\sqrt{\sin\left(2\,a+2\,b\,x\right)} \,d x","Not used",1,"int(cos(a + b*x)*sin(2*a + 2*b*x)^(1/2), x)","F"
164,0,-1,58,0.000000,"\text{Not used}","int(cos(a + b*x)/sin(2*a + 2*b*x)^(1/2),x)","\int \frac{\cos\left(a+b\,x\right)}{\sqrt{\sin\left(2\,a+2\,b\,x\right)}} \,d x","Not used",1,"int(cos(a + b*x)/sin(2*a + 2*b*x)^(1/2), x)","F"
165,1,24,24,0.191678,"\text{Not used}","int(cos(a + b*x)/sin(2*a + 2*b*x)^(3/2),x)","-\frac{\sqrt{\sin\left(2\,a+2\,b\,x\right)}}{2\,b\,\sin\left(a+b\,x\right)}","Not used",1,"-sin(2*a + 2*b*x)^(1/2)/(2*b*sin(a + b*x))","B"
166,1,104,53,3.168077,"\text{Not used}","int(cos(a + b*x)/sin(2*a + 2*b*x)^(5/2),x)","-\frac{2\,\sqrt{\sin\left(2\,a+2\,b\,x\right)}\,\left(3\,\cos\left(a+b\,x\right)-6\,\cos\left(3\,a+3\,b\,x\right)+4\,\cos\left(5\,a+5\,b\,x\right)-\cos\left(7\,a+7\,b\,x\right)\right)}{3\,b\,\left(4\,\cos\left(2\,a+2\,b\,x\right)+4\,\cos\left(4\,a+4\,b\,x\right)-4\,\cos\left(6\,a+6\,b\,x\right)+\cos\left(8\,a+8\,b\,x\right)-5\right)}","Not used",1,"-(2*sin(2*a + 2*b*x)^(1/2)*(3*cos(a + b*x) - 6*cos(3*a + 3*b*x) + 4*cos(5*a + 5*b*x) - cos(7*a + 7*b*x)))/(3*b*(4*cos(2*a + 2*b*x) + 4*cos(4*a + 4*b*x) - 4*cos(6*a + 6*b*x) + cos(8*a + 8*b*x) - 5))","B"
167,1,136,79,3.233358,"\text{Not used}","int(cos(a + b*x)/sin(2*a + 2*b*x)^(7/2),x)","\frac{4\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,2{}\mathrm{i}+{\mathrm{e}}^{a\,4{}\mathrm{i}+b\,x\,4{}\mathrm{i}}\,3{}\mathrm{i}+{\mathrm{e}}^{a\,6{}\mathrm{i}+b\,x\,6{}\mathrm{i}}\,2{}\mathrm{i}-{\mathrm{e}}^{a\,8{}\mathrm{i}+b\,x\,8{}\mathrm{i}}\,2{}\mathrm{i}-2{}\mathrm{i}\right)}{15\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^2}","Not used",1,"(4*exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*(exp(a*2i + b*x*2i)*2i + exp(a*4i + b*x*4i)*3i + exp(a*6i + b*x*6i)*2i - exp(a*8i + b*x*8i)*2i - 2i))/(15*b*(exp(a*2i + b*x*2i) - 1)^3*(exp(a*2i + b*x*2i) + 1)^2)","B"
168,1,350,105,3.866490,"\text{Not used}","int(cos(a + b*x)/sin(2*a + 2*b*x)^(9/2),x)","-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{7\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^4}+\frac{{\mathrm{e}}^{a\,3{}\mathrm{i}+b\,x\,3{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,16{}\mathrm{i}}{35\,b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left(\frac{1}{7\,b}-\frac{8\,{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}}{35\,b}\right)\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left(\frac{16{}\mathrm{i}}{35\,b}+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,44{}\mathrm{i}}{35\,b}\right)\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^3\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^3}","Not used",1,"(exp(a*3i + b*x*3i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*16i)/(35*b*(exp(a*2i + b*x*2i) + 1)*(exp(a*2i + b*x*2i)*1i - 1i)) - (exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(7*b*(exp(a*2i + b*x*2i)*1i - 1i)^4) - (exp(a*1i + b*x*1i)*(1/(7*b) - (8*exp(a*2i + b*x*2i))/(35*b))*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/((exp(a*2i + b*x*2i) + 1)^2*(exp(a*2i + b*x*2i)*1i - 1i)^2) + (exp(a*1i + b*x*1i)*(16i/(35*b) + (exp(a*2i + b*x*2i)*44i)/(35*b))*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/((exp(a*2i + b*x*2i) + 1)^3*(exp(a*2i + b*x*2i)*1i - 1i)^3)","B"
169,0,-1,98,0.000000,"\text{Not used}","int(cos(a + b*x)^2*sin(2*a + 2*b*x)^(7/2),x)","\int {\cos\left(a+b\,x\right)}^2\,{\sin\left(2\,a+2\,b\,x\right)}^{7/2} \,d x","Not used",1,"int(cos(a + b*x)^2*sin(2*a + 2*b*x)^(7/2), x)","F"
170,0,-1,69,0.000000,"\text{Not used}","int(cos(a + b*x)^2*sin(2*a + 2*b*x)^(5/2),x)","\int {\cos\left(a+b\,x\right)}^2\,{\sin\left(2\,a+2\,b\,x\right)}^{5/2} \,d x","Not used",1,"int(cos(a + b*x)^2*sin(2*a + 2*b*x)^(5/2), x)","F"
171,0,-1,69,0.000000,"\text{Not used}","int(cos(a + b*x)^2*sin(2*a + 2*b*x)^(3/2),x)","\int {\cos\left(a+b\,x\right)}^2\,{\sin\left(2\,a+2\,b\,x\right)}^{3/2} \,d x","Not used",1,"int(cos(a + b*x)^2*sin(2*a + 2*b*x)^(3/2), x)","F"
172,0,-1,40,0.000000,"\text{Not used}","int(cos(a + b*x)^2*sin(2*a + 2*b*x)^(1/2),x)","\int {\cos\left(a+b\,x\right)}^2\,\sqrt{\sin\left(2\,a+2\,b\,x\right)} \,d x","Not used",1,"int(cos(a + b*x)^2*sin(2*a + 2*b*x)^(1/2), x)","F"
173,0,-1,40,0.000000,"\text{Not used}","int(cos(a + b*x)^2/sin(2*a + 2*b*x)^(1/2),x)","\int \frac{{\cos\left(a+b\,x\right)}^2}{\sqrt{\sin\left(2\,a+2\,b\,x\right)}} \,d x","Not used",1,"int(cos(a + b*x)^2/sin(2*a + 2*b*x)^(1/2), x)","F"
174,0,-1,46,0.000000,"\text{Not used}","int(cos(a + b*x)^2/sin(2*a + 2*b*x)^(3/2),x)","\int \frac{{\cos\left(a+b\,x\right)}^2}{{\sin\left(2\,a+2\,b\,x\right)}^{3/2}} \,d x","Not used",1,"int(cos(a + b*x)^2/sin(2*a + 2*b*x)^(3/2), x)","F"
175,0,-1,48,0.000000,"\text{Not used}","int(cos(a + b*x)^2/sin(2*a + 2*b*x)^(5/2),x)","\int \frac{{\cos\left(a+b\,x\right)}^2}{{\sin\left(2\,a+2\,b\,x\right)}^{5/2}} \,d x","Not used",1,"int(cos(a + b*x)^2/sin(2*a + 2*b*x)^(5/2), x)","F"
176,0,-1,77,0.000000,"\text{Not used}","int(cos(a + b*x)^2/sin(2*a + 2*b*x)^(7/2),x)","\int \frac{{\cos\left(a+b\,x\right)}^2}{{\sin\left(2\,a+2\,b\,x\right)}^{7/2}} \,d x","Not used",1,"int(cos(a + b*x)^2/sin(2*a + 2*b*x)^(7/2), x)","F"
177,0,-1,136,0.000000,"\text{Not used}","int(cos(a + b*x)^3*sin(2*a + 2*b*x)^(3/2),x)","\int {\cos\left(a+b\,x\right)}^3\,{\sin\left(2\,a+2\,b\,x\right)}^{3/2} \,d x","Not used",1,"int(cos(a + b*x)^3*sin(2*a + 2*b*x)^(3/2), x)","F"
178,0,-1,110,0.000000,"\text{Not used}","int(cos(a + b*x)^3*sin(2*a + 2*b*x)^(1/2),x)","\int {\cos\left(a+b\,x\right)}^3\,\sqrt{\sin\left(2\,a+2\,b\,x\right)} \,d x","Not used",1,"int(cos(a + b*x)^3*sin(2*a + 2*b*x)^(1/2), x)","F"
179,0,-1,84,0.000000,"\text{Not used}","int(cos(a + b*x)^3/sin(2*a + 2*b*x)^(1/2),x)","\int \frac{{\cos\left(a+b\,x\right)}^3}{\sqrt{\sin\left(2\,a+2\,b\,x\right)}} \,d x","Not used",1,"int(cos(a + b*x)^3/sin(2*a + 2*b*x)^(1/2), x)","F"
180,0,-1,82,0.000000,"\text{Not used}","int(cos(a + b*x)^3/sin(2*a + 2*b*x)^(3/2),x)","\int \frac{{\cos\left(a+b\,x\right)}^3}{{\sin\left(2\,a+2\,b\,x\right)}^{3/2}} \,d x","Not used",1,"int(cos(a + b*x)^3/sin(2*a + 2*b*x)^(3/2), x)","F"
181,1,94,28,1.168332,"\text{Not used}","int(cos(a + b*x)^3/sin(2*a + 2*b*x)^(5/2),x)","\frac{\sqrt{\sin\left(2\,a+2\,b\,x\right)}\,\left(\frac{2\,{\sin\left(\frac{a}{2}+\frac{b\,x}{2}\right)}^2}{3}-{\sin\left(\frac{3\,a}{2}+\frac{3\,b\,x}{2}\right)}^2+\frac{{\sin\left(\frac{5\,a}{2}+\frac{5\,b\,x}{2}\right)}^2}{3}\right)}{b\,\left(30\,{\sin\left(a+b\,x\right)}^2-12\,{\sin\left(2\,a+2\,b\,x\right)}^2+2\,{\sin\left(3\,a+3\,b\,x\right)}^2\right)}","Not used",1,"(sin(2*a + 2*b*x)^(1/2)*((2*sin(a/2 + (b*x)/2)^2)/3 - sin((3*a)/2 + (3*b*x)/2)^2 + sin((5*a)/2 + (5*b*x)/2)^2/3))/(b*(2*sin(3*a + 3*b*x)^2 - 12*sin(2*a + 2*b*x)^2 + 30*sin(a + b*x)^2))","B"
182,1,93,55,3.074868,"\text{Not used}","int(cos(a + b*x)^3/sin(2*a + 2*b*x)^(7/2),x)","-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,\left(-{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,3{}\mathrm{i}+{\mathrm{e}}^{a\,4{}\mathrm{i}+b\,x\,4{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)}{5\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}-1\right)}^3}","Not used",1,"-(exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*(exp(a*4i + b*x*4i)*1i - exp(a*2i + b*x*2i)*3i + 1i))/(5*b*(exp(a*2i + b*x*2i) - 1)^3)","B"
183,1,302,81,3.661303,"\text{Not used}","int(cos(a + b*x)^3/sin(2*a + 2*b*x)^(9/2),x)","-\frac{5\,{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{84\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,3{}\mathrm{i}}{14\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^3}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{7\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^4}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left(\frac{5{}\mathrm{i}}{84\,b}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,4{}\mathrm{i}}{21\,b}\right)\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}","Not used",1,"(exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*3i)/(14*b*(exp(a*2i + b*x*2i)*1i - 1i)^3) - (5*exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(84*b*(exp(a*2i + b*x*2i)*1i - 1i)^2) - (exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(7*b*(exp(a*2i + b*x*2i)*1i - 1i)^4) - (exp(a*1i + b*x*1i)*(5i/(84*b) - (exp(a*2i + b*x*2i)*4i)/(21*b))*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/((exp(a*2i + b*x*2i) + 1)*(exp(a*2i + b*x*2i)*1i - 1i))","B"
184,1,383,107,4.880966,"\text{Not used}","int(cos(a + b*x)^3/sin(2*a + 2*b*x)^(11/2),x)","-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{60\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^3}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}\,2{}\mathrm{i}}{9\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^4}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{9\,b\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^5}+\frac{8\,{\mathrm{e}}^{a\,3{}\mathrm{i}+b\,x\,3{}\mathrm{i}}\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{45\,b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left(\frac{49{}\mathrm{i}}{180\,b}+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,19{}\mathrm{i}}{180\,b}\right)\,\sqrt{\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}}{2}}}{{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}+1\right)}^2\,{\left({\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)}^2}","Not used",1,"(exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(9*b*(exp(a*2i + b*x*2i)*1i - 1i)^5) - (exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2)*2i)/(9*b*(exp(a*2i + b*x*2i)*1i - 1i)^4) - (exp(a*1i + b*x*1i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(60*b*(exp(a*2i + b*x*2i)*1i - 1i)^3) + (8*exp(a*3i + b*x*3i)*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/(45*b*(exp(a*2i + b*x*2i) + 1)*(exp(a*2i + b*x*2i)*1i - 1i)) - (exp(a*1i + b*x*1i)*(49i/(180*b) + (exp(a*2i + b*x*2i)*19i)/(180*b))*((exp(- a*2i - b*x*2i)*1i)/2 - (exp(a*2i + b*x*2i)*1i)/2)^(1/2))/((exp(a*2i + b*x*2i) + 1)^2*(exp(a*2i + b*x*2i)*1i - 1i)^2)","B"
185,0,-1,31,0.000000,"\text{Not used}","int(cos(x)/sin(2*x)^(1/2),x)","\int \frac{\cos\left(x\right)}{\sqrt{\sin\left(2\,x\right)}} \,d x","Not used",1,"int(cos(x)/sin(2*x)^(1/2), x)","F"
186,0,-1,25,0.000000,"\text{Not used}","int(sin(2*x)^(1/2)/sin(x),x)","\int \frac{\sqrt{\sin\left(2\,x\right)}}{\sin\left(x\right)} \,d x","Not used",1,"int(sin(2*x)^(1/2)/sin(x), x)","F"
187,0,-1,85,0.000000,"\text{Not used}","int(cos(a + b*x)^3*sin(2*a + 2*b*x)^m,x)","\int {\cos\left(a+b\,x\right)}^3\,{\sin\left(2\,a+2\,b\,x\right)}^m \,d x","Not used",1,"int(cos(a + b*x)^3*sin(2*a + 2*b*x)^m, x)","F"
188,0,-1,85,0.000000,"\text{Not used}","int(cos(a + b*x)^2*sin(2*a + 2*b*x)^m,x)","\int {\cos\left(a+b\,x\right)}^2\,{\sin\left(2\,a+2\,b\,x\right)}^m \,d x","Not used",1,"int(cos(a + b*x)^2*sin(2*a + 2*b*x)^m, x)","F"
189,0,-1,83,0.000000,"\text{Not used}","int(cos(a + b*x)*sin(2*a + 2*b*x)^m,x)","\int \cos\left(a+b\,x\right)\,{\sin\left(2\,a+2\,b\,x\right)}^m \,d x","Not used",1,"int(cos(a + b*x)*sin(2*a + 2*b*x)^m, x)","F"
190,1,36,46,0.204985,"\text{Not used}","int(cos(a + b*x)^2*sin(a + b*x)^3*sin(2*a + 2*b*x)^2,x)","-\frac{4\,\left(35\,{\cos\left(a+b\,x\right)}^9-90\,{\cos\left(a+b\,x\right)}^7+63\,{\cos\left(a+b\,x\right)}^5\right)}{315\,b}","Not used",1,"-(4*(63*cos(a + b*x)^5 - 90*cos(a + b*x)^7 + 35*cos(a + b*x)^9))/(315*b)","B"
191,0,-1,293,0.000000,"\text{Not used}","int(sin(a + b*x)*sin(c + d*x)^n,x)","\int \sin\left(a+b\,x\right)\,{\sin\left(c+d\,x\right)}^n \,d x","Not used",1,"int(sin(a + b*x)*sin(c + d*x)^n, x)","F"
192,1,311,91,1.567340,"\text{Not used}","int(sin(a + b*x)*sin(c + d*x)^3,x)","-{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,3{}\mathrm{i}+b\,x\,1{}\mathrm{i}-d\,x\,3{}\mathrm{i}}\,\left(\frac{b+3\,d}{b^2\,16{}\mathrm{i}-d^2\,144{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(b-3\,d\right)}{b^2\,16{}\mathrm{i}-d^2\,144{}\mathrm{i}}\right)+{\mathrm{e}}^{a\,1{}\mathrm{i}+c\,3{}\mathrm{i}+b\,x\,1{}\mathrm{i}+d\,x\,3{}\mathrm{i}}\,\left(\frac{b-3\,d}{b^2\,16{}\mathrm{i}-d^2\,144{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(b+3\,d\right)}{b^2\,16{}\mathrm{i}-d^2\,144{}\mathrm{i}}\right)+{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left(\frac{3\,b+3\,d}{b^2\,16{}\mathrm{i}-d^2\,16{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(3\,b-3\,d\right)}{b^2\,16{}\mathrm{i}-d^2\,16{}\mathrm{i}}\right)-{\mathrm{e}}^{a\,1{}\mathrm{i}+c\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}+d\,x\,1{}\mathrm{i}}\,\left(\frac{3\,b-3\,d}{b^2\,16{}\mathrm{i}-d^2\,16{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(3\,b+3\,d\right)}{b^2\,16{}\mathrm{i}-d^2\,16{}\mathrm{i}}\right)","Not used",1,"exp(a*1i + c*3i + b*x*1i + d*x*3i)*((b - 3*d)/(b^2*16i - d^2*144i) + (exp(- a*2i - b*x*2i)*(b + 3*d))/(b^2*16i - d^2*144i)) - exp(a*1i - c*3i + b*x*1i - d*x*3i)*((b + 3*d)/(b^2*16i - d^2*144i) + (exp(- a*2i - b*x*2i)*(b - 3*d))/(b^2*16i - d^2*144i)) + exp(a*1i - c*1i + b*x*1i - d*x*1i)*((3*b + 3*d)/(b^2*16i - d^2*16i) + (exp(- a*2i - b*x*2i)*(3*b - 3*d))/(b^2*16i - d^2*16i)) - exp(a*1i + c*1i + b*x*1i + d*x*1i)*((3*b - 3*d)/(b^2*16i - d^2*16i) + (exp(- a*2i - b*x*2i)*(3*b + 3*d))/(b^2*16i - d^2*16i))","B"
193,1,98,62,0.735975,"\text{Not used}","int(sin(a + b*x)*sin(c + d*x)^2,x)","-\frac{d\,\left(2\,b\,\cos\left(a-2\,c+b\,x-2\,d\,x\right)-2\,b\,\cos\left(a+2\,c+b\,x+2\,d\,x\right)\right)+b^2\,\cos\left(a-2\,c+b\,x-2\,d\,x\right)+b^2\,\cos\left(a+2\,c+b\,x+2\,d\,x\right)}{16\,b\,d^2-4\,b^3}-\frac{\cos\left(a+b\,x\right)}{2\,b}","Not used",1,"- (d*(2*b*cos(a - 2*c + b*x - 2*d*x) - 2*b*cos(a + 2*c + b*x + 2*d*x)) + b^2*cos(a - 2*c + b*x - 2*d*x) + b^2*cos(a + 2*c + b*x + 2*d*x))/(16*b*d^2 - 4*b^3) - cos(a + b*x)/(2*b)","B"
194,1,84,43,1.063111,"\text{Not used}","int(sin(a + b*x)*sin(c + d*x),x)","\frac{d\,\left(\frac{\sin\left(a+c+b\,x+d\,x\right)}{2}+\frac{\sin\left(a-c+b\,x-d\,x\right)}{2}\right)}{b^2-d^2}-\frac{b\,\left(\frac{\sin\left(a+c+b\,x+d\,x\right)}{2}-\frac{\sin\left(a-c+b\,x-d\,x\right)}{2}\right)}{b^2-d^2}","Not used",1,"(d*(sin(a + c + b*x + d*x)/2 + sin(a - c + b*x - d*x)/2))/(b^2 - d^2) - (b*(sin(a + c + b*x + d*x)/2 - sin(a - c + b*x - d*x)/2))/(b^2 - d^2)","B"
195,1,111,26,0.868595,"\text{Not used}","int(sin(a + b*x)/sin(c + b*x),x)","x\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}+c\,1{}\mathrm{i}}}{2}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}}}{2}\right)+x\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}+c\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}}}{2}\right)+\frac{\ln\left(-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\right)\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}+c\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}{b}","Not used",1,"x*(exp(c*1i - a*1i)/2 - exp(a*1i - c*1i)/2) + x*(exp(c*1i - a*1i)/2 + exp(a*1i - c*1i)/2) + (log(exp(a*2i + b*x*2i) - exp(a*2i - c*2i))*((exp(c*1i - a*1i)*1i)/2 - (exp(a*1i - c*1i)*1i)/2))/b","B"
196,1,252,36,5.209450,"\text{Not used}","int(sin(a + b*x)/sin(c + b*x)^2,x)","-\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)\,1{}\mathrm{i}}{\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)}{2\,b\,\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}+\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)\,1{}\mathrm{i}}{\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)}{2\,b\,\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)}{b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\right)}","Not used",1,"(log((exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) + 1)*1i)/(exp(a*2i)*exp(-c*2i))^(1/2) - exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i)*1i + 1i))*(exp(a*2i - c*2i) + 1))/(2*b*exp(a*2i - c*2i)^(1/2)) - (log(- exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i)*1i + 1i) - (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) + 1)*1i)/(exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) + 1))/(2*b*exp(a*2i - c*2i)^(1/2)) + (exp(a*1i + b*x*1i)*(exp(a*2i - c*2i) - 1))/(b*(exp(a*2i - c*2i) - exp(a*2i + b*x*2i)))","B"
197,-1,-1,39,0.000000,"\text{Not used}","int(sin(a + b*x)/sin(c + b*x)^3,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
198,-1,-1,67,0.000000,"\text{Not used}","int(sin(a + b*x)/sin(c + b*x)^4,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
199,-1,-1,60,0.000000,"\text{Not used}","int(sin(a + b*x)/sin(c + b*x)^5,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
200,-1,-1,94,0.000000,"\text{Not used}","int(sin(a + b*x)/sin(c + b*x)^6,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
201,0,-1,410,0.000000,"\text{Not used}","int(sin(a + b*x)^2*sin(c + d*x)^n,x)","\int {\sin\left(a+b\,x\right)}^2\,{\sin\left(c+d\,x\right)}^n \,d x","Not used",1,"int(sin(a + b*x)^2*sin(c + d*x)^n, x)","F"
202,1,105,68,0.750749,"\text{Not used}","int(sin(a + b*x)^2*sin(c + d*x),x)","-\frac{d^2\,\cos\left(2\,a+c+2\,b\,x+d\,x\right)-b\,\left(2\,d\,\cos\left(2\,a+c+2\,b\,x+d\,x\right)-2\,d\,\cos\left(2\,a-c+2\,b\,x-d\,x\right)\right)+d^2\,\cos\left(2\,a-c+2\,b\,x-d\,x\right)}{16\,b^2\,d-4\,d^3}-\frac{\cos\left(c+d\,x\right)}{2\,d}","Not used",1,"- (d^2*cos(2*a + c + 2*b*x + d*x) - b*(2*d*cos(2*a + c + 2*b*x + d*x) - 2*d*cos(2*a - c + 2*b*x - d*x)) + d^2*cos(2*a - c + 2*b*x - d*x))/(16*b^2*d - 4*d^3) - cos(c + d*x)/(2*d)","B"
203,1,177,88,0.885931,"\text{Not used}","int(sin(a + b*x)^2*sin(c + d*x)^2,x)","\frac{2\,d^3\,\sin\left(2\,a+2\,b\,x\right)-2\,b^3\,\sin\left(2\,c+2\,d\,x\right)+b\,d^2\,\sin\left(2\,a-2\,c+2\,b\,x-2\,d\,x\right)-b\,d^2\,\sin\left(2\,a+2\,c+2\,b\,x+2\,d\,x\right)+b^2\,d\,\sin\left(2\,a-2\,c+2\,b\,x-2\,d\,x\right)+b^2\,d\,\sin\left(2\,a+2\,c+2\,b\,x+2\,d\,x\right)-2\,b^2\,d\,\sin\left(2\,a+2\,b\,x\right)+2\,b\,d^2\,\sin\left(2\,c+2\,d\,x\right)-4\,b\,d^3\,x+4\,b^3\,d\,x}{16\,b\,d\,\left(b^2-d^2\right)}","Not used",1,"(2*d^3*sin(2*a + 2*b*x) - 2*b^3*sin(2*c + 2*d*x) + b*d^2*sin(2*a - 2*c + 2*b*x - 2*d*x) - b*d^2*sin(2*a + 2*c + 2*b*x + 2*d*x) + b^2*d*sin(2*a - 2*c + 2*b*x - 2*d*x) + b^2*d*sin(2*a + 2*c + 2*b*x + 2*d*x) - 2*b^2*d*sin(2*a + 2*b*x) + 2*b*d^2*sin(2*c + 2*d*x) - 4*b*d^3*x + 4*b^3*d*x)/(16*b*d*(b^2 - d^2))","B"
204,1,469,144,1.872846,"\text{Not used}","int(sin(a + b*x)^2*sin(c + d*x)^3,x)","{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,3{}\mathrm{i}+b\,x\,2{}\mathrm{i}-d\,x\,3{}\mathrm{i}}\,\left(\frac{3\,d\,\left(2\,b+3\,d\right)}{384\,b^2\,d-864\,d^3}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(8\,b^2-18\,d^2\right)}{384\,b^2\,d-864\,d^3}-\frac{3\,d\,{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(2\,b-3\,d\right)}{384\,b^2\,d-864\,d^3}\right)+{\mathrm{e}}^{a\,2{}\mathrm{i}+c\,3{}\mathrm{i}+b\,x\,2{}\mathrm{i}+d\,x\,3{}\mathrm{i}}\,\left(-\frac{3\,d\,\left(2\,b-3\,d\right)}{384\,b^2\,d-864\,d^3}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(8\,b^2-18\,d^2\right)}{384\,b^2\,d-864\,d^3}+\frac{3\,d\,{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(2\,b+3\,d\right)}{384\,b^2\,d-864\,d^3}\right)-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,1{}\mathrm{i}+b\,x\,2{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left(\frac{3\,\left(2\,b+d\right)}{32\,\left(4\,b^2-d^2\right)}-\frac{3\,{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(2\,b-d\right)}{32\,\left(4\,b^2-d^2\right)}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(24\,b^2-6\,d^2\right)}{32\,d\,\left(4\,b^2-d^2\right)}\right)-{\mathrm{e}}^{a\,2{}\mathrm{i}+c\,1{}\mathrm{i}+b\,x\,2{}\mathrm{i}+d\,x\,1{}\mathrm{i}}\,\left(-\frac{3\,\left(2\,b-d\right)}{32\,\left(4\,b^2-d^2\right)}+\frac{3\,{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(2\,b+d\right)}{32\,\left(4\,b^2-d^2\right)}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(24\,b^2-6\,d^2\right)}{32\,d\,\left(4\,b^2-d^2\right)}\right)","Not used",1,"exp(a*2i - c*3i + b*x*2i - d*x*3i)*((3*d*(2*b + 3*d))/(384*b^2*d - 864*d^3) + (exp(- a*2i - b*x*2i)*(8*b^2 - 18*d^2))/(384*b^2*d - 864*d^3) - (3*d*exp(- a*4i - b*x*4i)*(2*b - 3*d))/(384*b^2*d - 864*d^3)) + exp(a*2i + c*3i + b*x*2i + d*x*3i)*((exp(- a*2i - b*x*2i)*(8*b^2 - 18*d^2))/(384*b^2*d - 864*d^3) - (3*d*(2*b - 3*d))/(384*b^2*d - 864*d^3) + (3*d*exp(- a*4i - b*x*4i)*(2*b + 3*d))/(384*b^2*d - 864*d^3)) - exp(a*2i - c*1i + b*x*2i - d*x*1i)*((3*(2*b + d))/(32*(4*b^2 - d^2)) - (3*exp(- a*4i - b*x*4i)*(2*b - d))/(32*(4*b^2 - d^2)) + (exp(- a*2i - b*x*2i)*(24*b^2 - 6*d^2))/(32*d*(4*b^2 - d^2))) - exp(a*2i + c*1i + b*x*2i + d*x*1i)*((3*exp(- a*4i - b*x*4i)*(2*b + d))/(32*(4*b^2 - d^2)) - (3*(2*b - d))/(32*(4*b^2 - d^2)) + (exp(- a*2i - b*x*2i)*(24*b^2 - 6*d^2))/(32*d*(4*b^2 - d^2)))","B"
205,0,-1,600,0.000000,"\text{Not used}","int(sin(a + b*x)^3*sin(c + d*x)^n,x)","\int {\sin\left(a+b\,x\right)}^3\,{\sin\left(c+d\,x\right)}^n \,d x","Not used",1,"int(sin(a + b*x)^3*sin(c + d*x)^n, x)","F"
206,1,494,97,1.716762,"\text{Not used}","int(sin(a + b*x)^3*sin(c + d*x),x)","{\mathrm{e}}^{a\,3{}\mathrm{i}-c\,1{}\mathrm{i}+b\,x\,3{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left(\frac{-3\,b^3-b^2\,d+3\,b\,d^2+d^3}{b^4\,144{}\mathrm{i}-b^2\,d^2\,160{}\mathrm{i}+d^4\,16{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-3\,b^3+b^2\,d+3\,b\,d^2-d^3\right)}{b^4\,144{}\mathrm{i}-b^2\,d^2\,160{}\mathrm{i}+d^4\,16{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-27\,b^3-27\,b^2\,d+3\,b\,d^2+3\,d^3\right)}{b^4\,144{}\mathrm{i}-b^2\,d^2\,160{}\mathrm{i}+d^4\,16{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-27\,b^3+27\,b^2\,d+3\,b\,d^2-3\,d^3\right)}{b^4\,144{}\mathrm{i}-b^2\,d^2\,160{}\mathrm{i}+d^4\,16{}\mathrm{i}}\right)-{\mathrm{e}}^{a\,3{}\mathrm{i}+c\,1{}\mathrm{i}+b\,x\,3{}\mathrm{i}+d\,x\,1{}\mathrm{i}}\,\left(\frac{-3\,b^3+b^2\,d+3\,b\,d^2-d^3}{b^4\,144{}\mathrm{i}-b^2\,d^2\,160{}\mathrm{i}+d^4\,16{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-3\,b^3-b^2\,d+3\,b\,d^2+d^3\right)}{b^4\,144{}\mathrm{i}-b^2\,d^2\,160{}\mathrm{i}+d^4\,16{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-27\,b^3+27\,b^2\,d+3\,b\,d^2-3\,d^3\right)}{b^4\,144{}\mathrm{i}-b^2\,d^2\,160{}\mathrm{i}+d^4\,16{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-27\,b^3-27\,b^2\,d+3\,b\,d^2+3\,d^3\right)}{b^4\,144{}\mathrm{i}-b^2\,d^2\,160{}\mathrm{i}+d^4\,16{}\mathrm{i}}\right)","Not used",1,"exp(a*3i - c*1i + b*x*3i - d*x*1i)*((3*b*d^2 - b^2*d - 3*b^3 + d^3)/(b^4*144i + d^4*16i - b^2*d^2*160i) + (exp(- a*6i - b*x*6i)*(3*b*d^2 + b^2*d - 3*b^3 - d^3))/(b^4*144i + d^4*16i - b^2*d^2*160i) - (exp(- a*2i - b*x*2i)*(3*b*d^2 - 27*b^2*d - 27*b^3 + 3*d^3))/(b^4*144i + d^4*16i - b^2*d^2*160i) - (exp(- a*4i - b*x*4i)*(3*b*d^2 + 27*b^2*d - 27*b^3 - 3*d^3))/(b^4*144i + d^4*16i - b^2*d^2*160i)) - exp(a*3i + c*1i + b*x*3i + d*x*1i)*((3*b*d^2 + b^2*d - 3*b^3 - d^3)/(b^4*144i + d^4*16i - b^2*d^2*160i) + (exp(- a*6i - b*x*6i)*(3*b*d^2 - b^2*d - 3*b^3 + d^3))/(b^4*144i + d^4*16i - b^2*d^2*160i) - (exp(- a*2i - b*x*2i)*(3*b*d^2 + 27*b^2*d - 27*b^3 - 3*d^3))/(b^4*144i + d^4*16i - b^2*d^2*160i) - (exp(- a*4i - b*x*4i)*(3*b*d^2 - 27*b^2*d - 27*b^3 + 3*d^3))/(b^4*144i + d^4*16i - b^2*d^2*160i))","B"
207,1,437,138,2.127181,"\text{Not used}","int(sin(a + b*x)^3*sin(c + d*x)^2,x)","\frac{81\,b^4\,\cos\left(a-2\,c+b\,x-2\,d\,x\right)+81\,b^4\,\cos\left(a+2\,c+b\,x+2\,d\,x\right)-162\,b^4\,\cos\left(a+b\,x\right)-288\,d^4\,\cos\left(a+b\,x\right)-9\,b^4\,\cos\left(3\,a-2\,c+3\,b\,x-2\,d\,x\right)-9\,b^4\,\cos\left(3\,a+2\,c+3\,b\,x+2\,d\,x\right)+18\,b^4\,\cos\left(3\,a+3\,b\,x\right)+32\,d^4\,\cos\left(3\,a+3\,b\,x\right)+24\,b\,d^3\,\cos\left(3\,a-2\,c+3\,b\,x-2\,d\,x\right)-24\,b\,d^3\,\cos\left(3\,a+2\,c+3\,b\,x+2\,d\,x\right)-6\,b^3\,d\,\cos\left(3\,a-2\,c+3\,b\,x-2\,d\,x\right)+6\,b^3\,d\,\cos\left(3\,a+2\,c+3\,b\,x+2\,d\,x\right)-36\,b^2\,d^2\,\cos\left(a-2\,c+b\,x-2\,d\,x\right)-36\,b^2\,d^2\,\cos\left(a+2\,c+b\,x+2\,d\,x\right)+720\,b^2\,d^2\,\cos\left(a+b\,x\right)+36\,b^2\,d^2\,\cos\left(3\,a-2\,c+3\,b\,x-2\,d\,x\right)+36\,b^2\,d^2\,\cos\left(3\,a+2\,c+3\,b\,x+2\,d\,x\right)-80\,b^2\,d^2\,\cos\left(3\,a+3\,b\,x\right)-72\,b\,d^3\,\cos\left(a-2\,c+b\,x-2\,d\,x\right)+72\,b\,d^3\,\cos\left(a+2\,c+b\,x+2\,d\,x\right)+162\,b^3\,d\,\cos\left(a-2\,c+b\,x-2\,d\,x\right)-162\,b^3\,d\,\cos\left(a+2\,c+b\,x+2\,d\,x\right)}{48\,\left(9\,b^5-40\,b^3\,d^2+16\,b\,d^4\right)}","Not used",1,"(81*b^4*cos(a - 2*c + b*x - 2*d*x) + 81*b^4*cos(a + 2*c + b*x + 2*d*x) - 162*b^4*cos(a + b*x) - 288*d^4*cos(a + b*x) - 9*b^4*cos(3*a - 2*c + 3*b*x - 2*d*x) - 9*b^4*cos(3*a + 2*c + 3*b*x + 2*d*x) + 18*b^4*cos(3*a + 3*b*x) + 32*d^4*cos(3*a + 3*b*x) + 24*b*d^3*cos(3*a - 2*c + 3*b*x - 2*d*x) - 24*b*d^3*cos(3*a + 2*c + 3*b*x + 2*d*x) - 6*b^3*d*cos(3*a - 2*c + 3*b*x - 2*d*x) + 6*b^3*d*cos(3*a + 2*c + 3*b*x + 2*d*x) - 36*b^2*d^2*cos(a - 2*c + b*x - 2*d*x) - 36*b^2*d^2*cos(a + 2*c + b*x + 2*d*x) + 720*b^2*d^2*cos(a + b*x) + 36*b^2*d^2*cos(3*a - 2*c + 3*b*x - 2*d*x) + 36*b^2*d^2*cos(3*a + 2*c + 3*b*x + 2*d*x) - 80*b^2*d^2*cos(3*a + 3*b*x) - 72*b*d^3*cos(a - 2*c + b*x - 2*d*x) + 72*b*d^3*cos(a + 2*c + b*x + 2*d*x) + 162*b^3*d*cos(a - 2*c + b*x - 2*d*x) - 162*b^3*d*cos(a + 2*c + b*x + 2*d*x))/(48*(16*b*d^4 + 9*b^5 - 40*b^3*d^2))","B"
208,1,997,195,4.314602,"\text{Not used}","int(sin(a + b*x)^3*sin(c + d*x)^3,x)","{\mathrm{e}}^{a\,3{}\mathrm{i}-c\,1{}\mathrm{i}+b\,x\,3{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left(\frac{-9\,b^3-3\,b^2\,d+9\,b\,d^2+3\,d^3}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-9\,b^3+3\,b^2\,d+9\,b\,d^2-3\,d^3\right)}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-81\,b^3-81\,b^2\,d+9\,b\,d^2+9\,d^3\right)}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-81\,b^3+81\,b^2\,d+9\,b\,d^2-9\,d^3\right)}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}\right)-{\mathrm{e}}^{a\,3{}\mathrm{i}+c\,1{}\mathrm{i}+b\,x\,3{}\mathrm{i}+d\,x\,1{}\mathrm{i}}\,\left(\frac{-9\,b^3+3\,b^2\,d+9\,b\,d^2-3\,d^3}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-9\,b^3-3\,b^2\,d+9\,b\,d^2+3\,d^3\right)}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-81\,b^3+81\,b^2\,d+9\,b\,d^2-9\,d^3\right)}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-81\,b^3-81\,b^2\,d+9\,b\,d^2+9\,d^3\right)}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}\right)-{\mathrm{e}}^{a\,3{}\mathrm{i}-c\,3{}\mathrm{i}+b\,x\,3{}\mathrm{i}-d\,x\,3{}\mathrm{i}}\,\left(\frac{-b^3-b^2\,d+9\,b\,d^2+9\,d^3}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-b^3+b^2\,d+9\,b\,d^2-9\,d^3\right)}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-9\,b^3-27\,b^2\,d+9\,b\,d^2+27\,d^3\right)}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-9\,b^3+27\,b^2\,d+9\,b\,d^2-27\,d^3\right)}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}\right)+{\mathrm{e}}^{a\,3{}\mathrm{i}+c\,3{}\mathrm{i}+b\,x\,3{}\mathrm{i}+d\,x\,3{}\mathrm{i}}\,\left(\frac{-b^3+b^2\,d+9\,b\,d^2-9\,d^3}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-b^3-b^2\,d+9\,b\,d^2+9\,d^3\right)}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-9\,b^3+27\,b^2\,d+9\,b\,d^2-27\,d^3\right)}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-9\,b^3-27\,b^2\,d+9\,b\,d^2+27\,d^3\right)}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}\right)","Not used",1,"exp(a*3i - c*1i + b*x*3i - d*x*1i)*((9*b*d^2 - 3*b^2*d - 9*b^3 + 3*d^3)/(b^4*576i + d^4*64i - b^2*d^2*640i) + (exp(- a*6i - b*x*6i)*(9*b*d^2 + 3*b^2*d - 9*b^3 - 3*d^3))/(b^4*576i + d^4*64i - b^2*d^2*640i) - (exp(- a*2i - b*x*2i)*(9*b*d^2 - 81*b^2*d - 81*b^3 + 9*d^3))/(b^4*576i + d^4*64i - b^2*d^2*640i) - (exp(- a*4i - b*x*4i)*(9*b*d^2 + 81*b^2*d - 81*b^3 - 9*d^3))/(b^4*576i + d^4*64i - b^2*d^2*640i)) - exp(a*3i + c*1i + b*x*3i + d*x*1i)*((9*b*d^2 + 3*b^2*d - 9*b^3 - 3*d^3)/(b^4*576i + d^4*64i - b^2*d^2*640i) + (exp(- a*6i - b*x*6i)*(9*b*d^2 - 3*b^2*d - 9*b^3 + 3*d^3))/(b^4*576i + d^4*64i - b^2*d^2*640i) - (exp(- a*2i - b*x*2i)*(9*b*d^2 + 81*b^2*d - 81*b^3 - 9*d^3))/(b^4*576i + d^4*64i - b^2*d^2*640i) - (exp(- a*4i - b*x*4i)*(9*b*d^2 - 81*b^2*d - 81*b^3 + 9*d^3))/(b^4*576i + d^4*64i - b^2*d^2*640i)) - exp(a*3i - c*3i + b*x*3i - d*x*3i)*((9*b*d^2 - b^2*d - b^3 + 9*d^3)/(b^4*192i + d^4*1728i - b^2*d^2*1920i) + (exp(- a*6i - b*x*6i)*(9*b*d^2 + b^2*d - b^3 - 9*d^3))/(b^4*192i + d^4*1728i - b^2*d^2*1920i) - (exp(- a*2i - b*x*2i)*(9*b*d^2 - 27*b^2*d - 9*b^3 + 27*d^3))/(b^4*192i + d^4*1728i - b^2*d^2*1920i) - (exp(- a*4i - b*x*4i)*(9*b*d^2 + 27*b^2*d - 9*b^3 - 27*d^3))/(b^4*192i + d^4*1728i - b^2*d^2*1920i)) + exp(a*3i + c*3i + b*x*3i + d*x*3i)*((9*b*d^2 + b^2*d - b^3 - 9*d^3)/(b^4*192i + d^4*1728i - b^2*d^2*1920i) + (exp(- a*6i - b*x*6i)*(9*b*d^2 - b^2*d - b^3 + 9*d^3))/(b^4*192i + d^4*1728i - b^2*d^2*1920i) - (exp(- a*2i - b*x*2i)*(9*b*d^2 + 27*b^2*d - 9*b^3 - 27*d^3))/(b^4*192i + d^4*1728i - b^2*d^2*1920i) - (exp(- a*4i - b*x*4i)*(9*b*d^2 - 27*b^2*d - 9*b^3 + 27*d^3))/(b^4*192i + d^4*1728i - b^2*d^2*1920i))","B"
209,0,-1,277,0.000000,"\text{Not used}","int(cos(c + d*x)^n*sin(a + b*x),x)","\int {\cos\left(c+d\,x\right)}^n\,\sin\left(a+b\,x\right) \,d x","Not used",1,"int(cos(c + d*x)^n*sin(a + b*x), x)","F"
210,1,297,91,1.614583,"\text{Not used}","int(cos(c + d*x)^3*sin(a + b*x),x)","-{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,3{}\mathrm{i}+b\,x\,1{}\mathrm{i}-d\,x\,3{}\mathrm{i}}\,\left(\frac{b+3\,d}{16\,b^2-144\,d^2}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(b-3\,d\right)}{16\,b^2-144\,d^2}\right)-{\mathrm{e}}^{a\,1{}\mathrm{i}+c\,3{}\mathrm{i}+b\,x\,1{}\mathrm{i}+d\,x\,3{}\mathrm{i}}\,\left(\frac{b-3\,d}{16\,b^2-144\,d^2}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(b+3\,d\right)}{16\,b^2-144\,d^2}\right)-{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left(\frac{3\,b+3\,d}{16\,b^2-16\,d^2}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(3\,b-3\,d\right)}{16\,b^2-16\,d^2}\right)-{\mathrm{e}}^{a\,1{}\mathrm{i}+c\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}+d\,x\,1{}\mathrm{i}}\,\left(\frac{3\,b-3\,d}{16\,b^2-16\,d^2}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(3\,b+3\,d\right)}{16\,b^2-16\,d^2}\right)","Not used",1,"- exp(a*1i - c*3i + b*x*1i - d*x*3i)*((b + 3*d)/(16*b^2 - 144*d^2) + (exp(- a*2i - b*x*2i)*(b - 3*d))/(16*b^2 - 144*d^2)) - exp(a*1i + c*3i + b*x*1i + d*x*3i)*((b - 3*d)/(16*b^2 - 144*d^2) + (exp(- a*2i - b*x*2i)*(b + 3*d))/(16*b^2 - 144*d^2)) - exp(a*1i - c*1i + b*x*1i - d*x*1i)*((3*b + 3*d)/(16*b^2 - 16*d^2) + (exp(- a*2i - b*x*2i)*(3*b - 3*d))/(16*b^2 - 16*d^2)) - exp(a*1i + c*1i + b*x*1i + d*x*1i)*((3*b - 3*d)/(16*b^2 - 16*d^2) + (exp(- a*2i - b*x*2i)*(3*b + 3*d))/(16*b^2 - 16*d^2))","B"
211,1,97,62,0.767493,"\text{Not used}","int(cos(c + d*x)^2*sin(a + b*x),x)","\frac{d\,\left(2\,b\,\cos\left(a-2\,c+b\,x-2\,d\,x\right)-2\,b\,\cos\left(a+2\,c+b\,x+2\,d\,x\right)\right)+b^2\,\cos\left(a-2\,c+b\,x-2\,d\,x\right)+b^2\,\cos\left(a+2\,c+b\,x+2\,d\,x\right)}{16\,b\,d^2-4\,b^3}-\frac{\cos\left(a+b\,x\right)}{2\,b}","Not used",1,"(d*(2*b*cos(a - 2*c + b*x - 2*d*x) - 2*b*cos(a + 2*c + b*x + 2*d*x)) + b^2*cos(a - 2*c + b*x - 2*d*x) + b^2*cos(a + 2*c + b*x + 2*d*x))/(16*b*d^2 - 4*b^3) - cos(a + b*x)/(2*b)","B"
212,1,85,43,0.842086,"\text{Not used}","int(cos(c + d*x)*sin(a + b*x),x)","-\frac{b\,\left(\frac{\cos\left(a-c+b\,x-d\,x\right)}{2}+\frac{\cos\left(a+c+b\,x+d\,x\right)}{2}\right)}{b^2-d^2}-\frac{d\,\left(\frac{\cos\left(a-c+b\,x-d\,x\right)}{2}-\frac{\cos\left(a+c+b\,x+d\,x\right)}{2}\right)}{b^2-d^2}","Not used",1,"- (b*(cos(a - c + b*x - d*x)/2 + cos(a + c + b*x + d*x)/2))/(b^2 - d^2) - (d*(cos(a - c + b*x - d*x)/2 - cos(a + c + b*x + d*x)/2))/(b^2 - d^2)","B"
213,1,112,27,0.894127,"\text{Not used}","int(sin(a + b*x)/cos(c + b*x),x)","x\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}+c\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)+x\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}+c\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)-\frac{\ln\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\right)\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}+c\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}}}{2}\right)}{b}","Not used",1,"x*((exp(c*1i - a*1i)*1i)/2 - (exp(a*1i - c*1i)*1i)/2) + x*((exp(c*1i - a*1i)*1i)/2 + (exp(a*1i - c*1i)*1i)/2) - (log(exp(a*2i - c*2i) + exp(a*2i + b*x*2i))*(exp(c*1i - a*1i)/2 + exp(a*1i - c*1i)/2))/b","B"
214,1,254,34,5.345184,"\text{Not used}","int(sin(a + b*x)/cos(c + b*x)^2,x)","\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)}{b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\right)}+\frac{\ln\left({\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}}{\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)}{2\,b\,\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}-\frac{\ln\left({\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}}{\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)}{2\,b\,\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}","Not used",1,"(exp(a*1i + b*x*1i)*(exp(a*2i - c*2i) + 1))/(b*(exp(a*2i - c*2i) + exp(a*2i + b*x*2i))) + (log(exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i)*1i - 1i) - (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) - 1)*1i)/(-exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) - 1))/(2*b*(-exp(a*2i - c*2i))^(1/2)) - (log(exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i)*1i - 1i) + (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) - 1)*1i)/(-exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) - 1))/(2*b*(-exp(a*2i - c*2i))^(1/2))","B"
215,-1,-1,38,0.000000,"\text{Not used}","int(sin(a + b*x)/cos(c + b*x)^3,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
216,-1,-1,67,0.000000,"\text{Not used}","int(sin(a + b*x)/cos(c + b*x)^4,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
217,-1,-1,59,0.000000,"\text{Not used}","int(sin(a + b*x)/cos(c + b*x)^5,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
218,-1,-1,94,0.000000,"\text{Not used}","int(sin(a + b*x)/cos(c + b*x)^6,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
219,0,-1,386,0.000000,"\text{Not used}","int(cos(c + d*x)^n*sin(a + b*x)^2,x)","\int {\cos\left(c+d\,x\right)}^n\,{\sin\left(a+b\,x\right)}^2 \,d x","Not used",1,"int(cos(c + d*x)^n*sin(a + b*x)^2, x)","F"
220,1,105,68,0.808764,"\text{Not used}","int(cos(c + d*x)*sin(a + b*x)^2,x)","\frac{\sin\left(c+d\,x\right)}{2\,d}-\frac{b\,\left(2\,d\,\sin\left(2\,a+c+2\,b\,x+d\,x\right)+2\,d\,\sin\left(2\,a-c+2\,b\,x-d\,x\right)\right)-d^2\,\sin\left(2\,a+c+2\,b\,x+d\,x\right)+d^2\,\sin\left(2\,a-c+2\,b\,x-d\,x\right)}{16\,b^2\,d-4\,d^3}","Not used",1,"sin(c + d*x)/(2*d) - (b*(2*d*sin(2*a + c + 2*b*x + d*x) + 2*d*sin(2*a - c + 2*b*x - d*x)) - d^2*sin(2*a + c + 2*b*x + d*x) + d^2*sin(2*a - c + 2*b*x - d*x))/(16*b^2*d - 4*d^3)","B"
221,1,177,88,0.928540,"\text{Not used}","int(cos(c + d*x)^2*sin(a + b*x)^2,x)","-\frac{b\,d^2\,\sin\left(2\,a-2\,c+2\,b\,x-2\,d\,x\right)-2\,b^3\,\sin\left(2\,c+2\,d\,x\right)-2\,d^3\,\sin\left(2\,a+2\,b\,x\right)-b\,d^2\,\sin\left(2\,a+2\,c+2\,b\,x+2\,d\,x\right)+b^2\,d\,\sin\left(2\,a-2\,c+2\,b\,x-2\,d\,x\right)+b^2\,d\,\sin\left(2\,a+2\,c+2\,b\,x+2\,d\,x\right)+2\,b^2\,d\,\sin\left(2\,a+2\,b\,x\right)+2\,b\,d^2\,\sin\left(2\,c+2\,d\,x\right)+4\,b\,d^3\,x-4\,b^3\,d\,x}{16\,b\,d\,\left(b^2-d^2\right)}","Not used",1,"-(b*d^2*sin(2*a - 2*c + 2*b*x - 2*d*x) - 2*b^3*sin(2*c + 2*d*x) - 2*d^3*sin(2*a + 2*b*x) - b*d^2*sin(2*a + 2*c + 2*b*x + 2*d*x) + b^2*d*sin(2*a - 2*c + 2*b*x - 2*d*x) + b^2*d*sin(2*a + 2*c + 2*b*x + 2*d*x) + 2*b^2*d*sin(2*a + 2*b*x) + 2*b*d^2*sin(2*c + 2*d*x) + 4*b*d^3*x - 4*b^3*d*x)/(16*b*d*(b^2 - d^2))","B"
222,1,495,144,1.968664,"\text{Not used}","int(cos(c + d*x)^3*sin(a + b*x)^2,x)","-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,1{}\mathrm{i}+b\,x\,2{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left(\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(24\,b^2-6\,d^2\right)}{b^2\,d\,128{}\mathrm{i}-d^3\,32{}\mathrm{i}}+\frac{3\,d\,\left(2\,b+d\right)}{b^2\,d\,128{}\mathrm{i}-d^3\,32{}\mathrm{i}}-\frac{3\,d\,{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(2\,b-d\right)}{b^2\,d\,128{}\mathrm{i}-d^3\,32{}\mathrm{i}}\right)+{\mathrm{e}}^{a\,2{}\mathrm{i}+c\,1{}\mathrm{i}+b\,x\,2{}\mathrm{i}+d\,x\,1{}\mathrm{i}}\,\left(-\frac{3\,d\,\left(2\,b-d\right)}{b^2\,d\,128{}\mathrm{i}-d^3\,32{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(24\,b^2-6\,d^2\right)}{b^2\,d\,128{}\mathrm{i}-d^3\,32{}\mathrm{i}}+\frac{3\,d\,{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(2\,b+d\right)}{b^2\,d\,128{}\mathrm{i}-d^3\,32{}\mathrm{i}}\right)-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,3{}\mathrm{i}+b\,x\,2{}\mathrm{i}-d\,x\,3{}\mathrm{i}}\,\left(\frac{3\,d\,\left(2\,b+3\,d\right)}{b^2\,d\,384{}\mathrm{i}-d^3\,864{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(8\,b^2-18\,d^2\right)}{b^2\,d\,384{}\mathrm{i}-d^3\,864{}\mathrm{i}}-\frac{3\,d\,{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(2\,b-3\,d\right)}{b^2\,d\,384{}\mathrm{i}-d^3\,864{}\mathrm{i}}\right)+{\mathrm{e}}^{a\,2{}\mathrm{i}+c\,3{}\mathrm{i}+b\,x\,2{}\mathrm{i}+d\,x\,3{}\mathrm{i}}\,\left(-\frac{3\,d\,\left(2\,b-3\,d\right)}{b^2\,d\,384{}\mathrm{i}-d^3\,864{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(8\,b^2-18\,d^2\right)}{b^2\,d\,384{}\mathrm{i}-d^3\,864{}\mathrm{i}}+\frac{3\,d\,{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(2\,b+3\,d\right)}{b^2\,d\,384{}\mathrm{i}-d^3\,864{}\mathrm{i}}\right)","Not used",1,"exp(a*2i + c*1i + b*x*2i + d*x*1i)*((exp(- a*2i - b*x*2i)*(24*b^2 - 6*d^2))/(b^2*d*128i - d^3*32i) - (3*d*(2*b - d))/(b^2*d*128i - d^3*32i) + (3*d*exp(- a*4i - b*x*4i)*(2*b + d))/(b^2*d*128i - d^3*32i)) - exp(a*2i - c*1i + b*x*2i - d*x*1i)*((exp(- a*2i - b*x*2i)*(24*b^2 - 6*d^2))/(b^2*d*128i - d^3*32i) + (3*d*(2*b + d))/(b^2*d*128i - d^3*32i) - (3*d*exp(- a*4i - b*x*4i)*(2*b - d))/(b^2*d*128i - d^3*32i)) - exp(a*2i - c*3i + b*x*2i - d*x*3i)*((3*d*(2*b + 3*d))/(b^2*d*384i - d^3*864i) + (exp(- a*2i - b*x*2i)*(8*b^2 - 18*d^2))/(b^2*d*384i - d^3*864i) - (3*d*exp(- a*4i - b*x*4i)*(2*b - 3*d))/(b^2*d*384i - d^3*864i)) + exp(a*2i + c*3i + b*x*2i + d*x*3i)*((exp(- a*2i - b*x*2i)*(8*b^2 - 18*d^2))/(b^2*d*384i - d^3*864i) - (3*d*(2*b - 3*d))/(b^2*d*384i - d^3*864i) + (3*d*exp(- a*4i - b*x*4i)*(2*b + 3*d))/(b^2*d*384i - d^3*864i))","B"
223,0,-1,568,0.000000,"\text{Not used}","int(cos(c + d*x)^n*sin(a + b*x)^3,x)","\int {\cos\left(c+d\,x\right)}^n\,{\sin\left(a+b\,x\right)}^3 \,d x","Not used",1,"int(cos(c + d*x)^n*sin(a + b*x)^3, x)","F"
224,1,471,97,1.612848,"\text{Not used}","int(cos(c + d*x)*sin(a + b*x)^3,x)","-{\mathrm{e}}^{a\,3{}\mathrm{i}-c\,1{}\mathrm{i}+b\,x\,3{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left(\frac{-3\,b^3-b^2\,d+3\,b\,d^2+d^3}{144\,b^4-160\,b^2\,d^2+16\,d^4}+\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-3\,b^3+b^2\,d+3\,b\,d^2-d^3\right)}{144\,b^4-160\,b^2\,d^2+16\,d^4}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-27\,b^3-27\,b^2\,d+3\,b\,d^2+3\,d^3\right)}{144\,b^4-160\,b^2\,d^2+16\,d^4}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-27\,b^3+27\,b^2\,d+3\,b\,d^2-3\,d^3\right)}{144\,b^4-160\,b^2\,d^2+16\,d^4}\right)-{\mathrm{e}}^{a\,3{}\mathrm{i}+c\,1{}\mathrm{i}+b\,x\,3{}\mathrm{i}+d\,x\,1{}\mathrm{i}}\,\left(\frac{-3\,b^3+b^2\,d+3\,b\,d^2-d^3}{144\,b^4-160\,b^2\,d^2+16\,d^4}+\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-3\,b^3-b^2\,d+3\,b\,d^2+d^3\right)}{144\,b^4-160\,b^2\,d^2+16\,d^4}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-27\,b^3+27\,b^2\,d+3\,b\,d^2-3\,d^3\right)}{144\,b^4-160\,b^2\,d^2+16\,d^4}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-27\,b^3-27\,b^2\,d+3\,b\,d^2+3\,d^3\right)}{144\,b^4-160\,b^2\,d^2+16\,d^4}\right)","Not used",1,"- exp(a*3i - c*1i + b*x*3i - d*x*1i)*((3*b*d^2 - b^2*d - 3*b^3 + d^3)/(144*b^4 + 16*d^4 - 160*b^2*d^2) + (exp(- a*6i - b*x*6i)*(3*b*d^2 + b^2*d - 3*b^3 - d^3))/(144*b^4 + 16*d^4 - 160*b^2*d^2) - (exp(- a*2i - b*x*2i)*(3*b*d^2 - 27*b^2*d - 27*b^3 + 3*d^3))/(144*b^4 + 16*d^4 - 160*b^2*d^2) - (exp(- a*4i - b*x*4i)*(3*b*d^2 + 27*b^2*d - 27*b^3 - 3*d^3))/(144*b^4 + 16*d^4 - 160*b^2*d^2)) - exp(a*3i + c*1i + b*x*3i + d*x*1i)*((3*b*d^2 + b^2*d - 3*b^3 - d^3)/(144*b^4 + 16*d^4 - 160*b^2*d^2) + (exp(- a*6i - b*x*6i)*(3*b*d^2 - b^2*d - 3*b^3 + d^3))/(144*b^4 + 16*d^4 - 160*b^2*d^2) - (exp(- a*2i - b*x*2i)*(3*b*d^2 + 27*b^2*d - 27*b^3 - 3*d^3))/(144*b^4 + 16*d^4 - 160*b^2*d^2) - (exp(- a*4i - b*x*4i)*(3*b*d^2 - 27*b^2*d - 27*b^3 + 3*d^3))/(144*b^4 + 16*d^4 - 160*b^2*d^2))","B"
225,1,438,138,2.032289,"\text{Not used}","int(cos(c + d*x)^2*sin(a + b*x)^3,x)","-\frac{81\,b^4\,\cos\left(a-2\,c+b\,x-2\,d\,x\right)+81\,b^4\,\cos\left(a+2\,c+b\,x+2\,d\,x\right)+162\,b^4\,\cos\left(a+b\,x\right)+288\,d^4\,\cos\left(a+b\,x\right)-9\,b^4\,\cos\left(3\,a-2\,c+3\,b\,x-2\,d\,x\right)-9\,b^4\,\cos\left(3\,a+2\,c+3\,b\,x+2\,d\,x\right)-18\,b^4\,\cos\left(3\,a+3\,b\,x\right)-32\,d^4\,\cos\left(3\,a+3\,b\,x\right)+24\,b\,d^3\,\cos\left(3\,a-2\,c+3\,b\,x-2\,d\,x\right)-24\,b\,d^3\,\cos\left(3\,a+2\,c+3\,b\,x+2\,d\,x\right)-6\,b^3\,d\,\cos\left(3\,a-2\,c+3\,b\,x-2\,d\,x\right)+6\,b^3\,d\,\cos\left(3\,a+2\,c+3\,b\,x+2\,d\,x\right)-36\,b^2\,d^2\,\cos\left(a-2\,c+b\,x-2\,d\,x\right)-36\,b^2\,d^2\,\cos\left(a+2\,c+b\,x+2\,d\,x\right)-720\,b^2\,d^2\,\cos\left(a+b\,x\right)+36\,b^2\,d^2\,\cos\left(3\,a-2\,c+3\,b\,x-2\,d\,x\right)+36\,b^2\,d^2\,\cos\left(3\,a+2\,c+3\,b\,x+2\,d\,x\right)+80\,b^2\,d^2\,\cos\left(3\,a+3\,b\,x\right)-72\,b\,d^3\,\cos\left(a-2\,c+b\,x-2\,d\,x\right)+72\,b\,d^3\,\cos\left(a+2\,c+b\,x+2\,d\,x\right)+162\,b^3\,d\,\cos\left(a-2\,c+b\,x-2\,d\,x\right)-162\,b^3\,d\,\cos\left(a+2\,c+b\,x+2\,d\,x\right)}{48\,\left(9\,b^5-40\,b^3\,d^2+16\,b\,d^4\right)}","Not used",1,"-(81*b^4*cos(a - 2*c + b*x - 2*d*x) + 81*b^4*cos(a + 2*c + b*x + 2*d*x) + 162*b^4*cos(a + b*x) + 288*d^4*cos(a + b*x) - 9*b^4*cos(3*a - 2*c + 3*b*x - 2*d*x) - 9*b^4*cos(3*a + 2*c + 3*b*x + 2*d*x) - 18*b^4*cos(3*a + 3*b*x) - 32*d^4*cos(3*a + 3*b*x) + 24*b*d^3*cos(3*a - 2*c + 3*b*x - 2*d*x) - 24*b*d^3*cos(3*a + 2*c + 3*b*x + 2*d*x) - 6*b^3*d*cos(3*a - 2*c + 3*b*x - 2*d*x) + 6*b^3*d*cos(3*a + 2*c + 3*b*x + 2*d*x) - 36*b^2*d^2*cos(a - 2*c + b*x - 2*d*x) - 36*b^2*d^2*cos(a + 2*c + b*x + 2*d*x) - 720*b^2*d^2*cos(a + b*x) + 36*b^2*d^2*cos(3*a - 2*c + 3*b*x - 2*d*x) + 36*b^2*d^2*cos(3*a + 2*c + 3*b*x + 2*d*x) + 80*b^2*d^2*cos(3*a + 3*b*x) - 72*b*d^3*cos(a - 2*c + b*x - 2*d*x) + 72*b*d^3*cos(a + 2*c + b*x + 2*d*x) + 162*b^3*d*cos(a - 2*c + b*x - 2*d*x) - 162*b^3*d*cos(a + 2*c + b*x + 2*d*x))/(48*(16*b*d^4 + 9*b^5 - 40*b^3*d^2))","B"
226,1,951,195,4.135715,"\text{Not used}","int(cos(c + d*x)^3*sin(a + b*x)^3,x)","-{\mathrm{e}}^{a\,3{}\mathrm{i}-c\,1{}\mathrm{i}+b\,x\,3{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left(\frac{-9\,b^3-3\,b^2\,d+9\,b\,d^2+3\,d^3}{576\,b^4-640\,b^2\,d^2+64\,d^4}+\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-9\,b^3+3\,b^2\,d+9\,b\,d^2-3\,d^3\right)}{576\,b^4-640\,b^2\,d^2+64\,d^4}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-81\,b^3-81\,b^2\,d+9\,b\,d^2+9\,d^3\right)}{576\,b^4-640\,b^2\,d^2+64\,d^4}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-81\,b^3+81\,b^2\,d+9\,b\,d^2-9\,d^3\right)}{576\,b^4-640\,b^2\,d^2+64\,d^4}\right)-{\mathrm{e}}^{a\,3{}\mathrm{i}+c\,1{}\mathrm{i}+b\,x\,3{}\mathrm{i}+d\,x\,1{}\mathrm{i}}\,\left(\frac{-9\,b^3+3\,b^2\,d+9\,b\,d^2-3\,d^3}{576\,b^4-640\,b^2\,d^2+64\,d^4}+\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-9\,b^3-3\,b^2\,d+9\,b\,d^2+3\,d^3\right)}{576\,b^4-640\,b^2\,d^2+64\,d^4}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-81\,b^3+81\,b^2\,d+9\,b\,d^2-9\,d^3\right)}{576\,b^4-640\,b^2\,d^2+64\,d^4}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-81\,b^3-81\,b^2\,d+9\,b\,d^2+9\,d^3\right)}{576\,b^4-640\,b^2\,d^2+64\,d^4}\right)-{\mathrm{e}}^{a\,3{}\mathrm{i}-c\,3{}\mathrm{i}+b\,x\,3{}\mathrm{i}-d\,x\,3{}\mathrm{i}}\,\left(\frac{-b^3-b^2\,d+9\,b\,d^2+9\,d^3}{192\,b^4-1920\,b^2\,d^2+1728\,d^4}+\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-b^3+b^2\,d+9\,b\,d^2-9\,d^3\right)}{192\,b^4-1920\,b^2\,d^2+1728\,d^4}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-9\,b^3-27\,b^2\,d+9\,b\,d^2+27\,d^3\right)}{192\,b^4-1920\,b^2\,d^2+1728\,d^4}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-9\,b^3+27\,b^2\,d+9\,b\,d^2-27\,d^3\right)}{192\,b^4-1920\,b^2\,d^2+1728\,d^4}\right)-{\mathrm{e}}^{a\,3{}\mathrm{i}+c\,3{}\mathrm{i}+b\,x\,3{}\mathrm{i}+d\,x\,3{}\mathrm{i}}\,\left(\frac{-b^3+b^2\,d+9\,b\,d^2-9\,d^3}{192\,b^4-1920\,b^2\,d^2+1728\,d^4}+\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-b^3-b^2\,d+9\,b\,d^2+9\,d^3\right)}{192\,b^4-1920\,b^2\,d^2+1728\,d^4}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-9\,b^3+27\,b^2\,d+9\,b\,d^2-27\,d^3\right)}{192\,b^4-1920\,b^2\,d^2+1728\,d^4}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-9\,b^3-27\,b^2\,d+9\,b\,d^2+27\,d^3\right)}{192\,b^4-1920\,b^2\,d^2+1728\,d^4}\right)","Not used",1,"- exp(a*3i - c*1i + b*x*3i - d*x*1i)*((9*b*d^2 - 3*b^2*d - 9*b^3 + 3*d^3)/(576*b^4 + 64*d^4 - 640*b^2*d^2) + (exp(- a*6i - b*x*6i)*(9*b*d^2 + 3*b^2*d - 9*b^3 - 3*d^3))/(576*b^4 + 64*d^4 - 640*b^2*d^2) - (exp(- a*2i - b*x*2i)*(9*b*d^2 - 81*b^2*d - 81*b^3 + 9*d^3))/(576*b^4 + 64*d^4 - 640*b^2*d^2) - (exp(- a*4i - b*x*4i)*(9*b*d^2 + 81*b^2*d - 81*b^3 - 9*d^3))/(576*b^4 + 64*d^4 - 640*b^2*d^2)) - exp(a*3i + c*1i + b*x*3i + d*x*1i)*((9*b*d^2 + 3*b^2*d - 9*b^3 - 3*d^3)/(576*b^4 + 64*d^4 - 640*b^2*d^2) + (exp(- a*6i - b*x*6i)*(9*b*d^2 - 3*b^2*d - 9*b^3 + 3*d^3))/(576*b^4 + 64*d^4 - 640*b^2*d^2) - (exp(- a*2i - b*x*2i)*(9*b*d^2 + 81*b^2*d - 81*b^3 - 9*d^3))/(576*b^4 + 64*d^4 - 640*b^2*d^2) - (exp(- a*4i - b*x*4i)*(9*b*d^2 - 81*b^2*d - 81*b^3 + 9*d^3))/(576*b^4 + 64*d^4 - 640*b^2*d^2)) - exp(a*3i - c*3i + b*x*3i - d*x*3i)*((9*b*d^2 - b^2*d - b^3 + 9*d^3)/(192*b^4 + 1728*d^4 - 1920*b^2*d^2) + (exp(- a*6i - b*x*6i)*(9*b*d^2 + b^2*d - b^3 - 9*d^3))/(192*b^4 + 1728*d^4 - 1920*b^2*d^2) - (exp(- a*2i - b*x*2i)*(9*b*d^2 - 27*b^2*d - 9*b^3 + 27*d^3))/(192*b^4 + 1728*d^4 - 1920*b^2*d^2) - (exp(- a*4i - b*x*4i)*(9*b*d^2 + 27*b^2*d - 9*b^3 - 27*d^3))/(192*b^4 + 1728*d^4 - 1920*b^2*d^2)) - exp(a*3i + c*3i + b*x*3i + d*x*3i)*((9*b*d^2 + b^2*d - b^3 - 9*d^3)/(192*b^4 + 1728*d^4 - 1920*b^2*d^2) + (exp(- a*6i - b*x*6i)*(9*b*d^2 - b^2*d - b^3 + 9*d^3))/(192*b^4 + 1728*d^4 - 1920*b^2*d^2) - (exp(- a*2i - b*x*2i)*(9*b*d^2 + 27*b^2*d - 9*b^3 - 27*d^3))/(192*b^4 + 1728*d^4 - 1920*b^2*d^2) - (exp(- a*4i - b*x*4i)*(9*b*d^2 - 27*b^2*d - 9*b^3 + 27*d^3))/(192*b^4 + 1728*d^4 - 1920*b^2*d^2))","B"
227,1,115,27,0.702909,"\text{Not used}","int(cos(a + b*x)/sin(c + b*x),x)","-x\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}+c\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)-x\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}+c\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)+\frac{\ln\left(-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\right)\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}+c\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}}}{2}\right)}{b}","Not used",1,"(log(exp(a*2i + b*x*2i) - exp(a*2i - c*2i))*(exp(c*1i - a*1i)/2 + exp(a*1i - c*1i)/2))/b - x*((exp(c*1i - a*1i)*1i)/2 + (exp(a*1i - c*1i)*1i)/2) - x*((exp(c*1i - a*1i)*1i)/2 - (exp(a*1i - c*1i)*1i)/2)","B"
228,1,252,35,5.209991,"\text{Not used}","int(cos(a + b*x)/sin(c + b*x)^2,x)","-\frac{\ln\left({\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}}{\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)}{2\,b\,\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}+\frac{\ln\left({\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}}{\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)}{2\,b\,\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)\,1{}\mathrm{i}}{b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\right)}","Not used",1,"(log(exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i) - 1) + (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) - 1)*1i)/(-exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) - 1))/(2*b*(-exp(a*2i - c*2i))^(1/2)) - (log(exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i) - 1) - (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) - 1)*1i)/(-exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) - 1))/(2*b*(-exp(a*2i - c*2i))^(1/2)) + (exp(a*1i + b*x*1i)*(exp(a*2i - c*2i) + 1)*1i)/(b*(exp(a*2i - c*2i) - exp(a*2i + b*x*2i)))","B"
229,-1,-1,38,0.000000,"\text{Not used}","int(cos(a + b*x)/sin(c + b*x)^3,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
230,-1,-1,72,0.000000,"\text{Not used}","int(sin(a + b*x)*tan(c + b*x)^3,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
231,1,294,44,5.305760,"\text{Not used}","int(sin(a + b*x)*tan(c + b*x)^2,x)","\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2\,b}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2\,b}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)\,1{}\mathrm{i}}{b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}\,1{}\mathrm{i}+{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}\right)}+\frac{\ln\left({\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}}{\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)}{2\,b\,\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}-\frac{\ln\left({\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}}{\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)}{2\,b\,\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}","Not used",1,"exp(- a*1i - b*x*1i)/(2*b) + exp(a*1i + b*x*1i)/(2*b) + (exp(a*1i + b*x*1i)*(exp(a*2i - c*2i) + 1)*1i)/(b*(exp(a*2i - c*2i)*1i + exp(a*2i + b*x*2i)*1i)) + (log(exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i)*1i - 1i) - (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) - 1)*1i)/(-exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) - 1))/(2*b*(-exp(a*2i - c*2i))^(1/2)) - (log(exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i)*1i - 1i) + (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) - 1)*1i)/(-exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) - 1))/(2*b*(-exp(a*2i - c*2i))^(1/2))","B"
232,1,227,29,5.487013,"\text{Not used}","int(sin(a + b*x)*tan(c + b*x),x)","-\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,b}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,b}+\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)\,1{}\mathrm{i}}{\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)}{2\,b\,\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}-\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)\,1{}\mathrm{i}}{\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)}{2\,b\,\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}","Not used",1,"(exp(a*1i + b*x*1i)*1i)/(2*b) - (exp(- a*1i - b*x*1i)*1i)/(2*b) + (log(- exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i) + 1) - (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) + 1)*1i)/(exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) + 1))/(2*b*exp(a*2i - c*2i)^(1/2)) - (log((exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) + 1)*1i)/(exp(a*2i)*exp(-c*2i))^(1/2) - exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i) + 1))*(exp(a*2i - c*2i) + 1))/(2*b*exp(a*2i - c*2i)^(1/2))","B"
233,1,233,29,4.845845,"\text{Not used}","int(cot(c + b*x)*sin(a + b*x),x)","\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,b}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,b}-\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}}{\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)}{2\,b\,\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}+\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}}{\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)}{2\,b\,\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}","Not used",1,"(exp(- a*1i - b*x*1i)*1i)/(2*b) - (exp(a*1i + b*x*1i)*1i)/(2*b) - (log(- exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i) - 1) - (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) - 1)*1i)/(-exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) - 1))/(2*b*(-exp(a*2i - c*2i))^(1/2)) + (log((exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) - 1)*1i)/(-exp(a*2i)*exp(-c*2i))^(1/2) - exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i) - 1))*(exp(a*2i - c*2i) - 1))/(2*b*(-exp(a*2i - c*2i))^(1/2))","B"
234,1,290,46,5.261516,"\text{Not used}","int(cot(c + b*x)^2*sin(a + b*x),x)","\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2\,b}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2\,b}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}}{b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}\,1{}\mathrm{i}-{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}\right)}-\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)\,1{}\mathrm{i}}{\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)}{2\,b\,\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}+\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)\,1{}\mathrm{i}}{\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)}{2\,b\,\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}","Not used",1,"exp(- a*1i - b*x*1i)/(2*b) + exp(a*1i + b*x*1i)/(2*b) + (exp(a*1i + b*x*1i)*(exp(a*2i - c*2i) - 1)*1i)/(b*(exp(a*2i - c*2i)*1i - exp(a*2i + b*x*2i)*1i)) - (log(- exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i)*1i + 1i) - (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) + 1)*1i)/(exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) + 1))/(2*b*exp(a*2i - c*2i)^(1/2)) + (log((exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) + 1)*1i)/(exp(a*2i)*exp(-c*2i))^(1/2) - exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i)*1i + 1i))*(exp(a*2i - c*2i) + 1))/(2*b*exp(a*2i - c*2i)^(1/2))","B"
235,-1,-1,74,0.000000,"\text{Not used}","int(cot(c + b*x)^3*sin(a + b*x),x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
236,0,-1,143,0.000000,"\text{Not used}","int(sin(a + b*x)*tan(c + d*x),x)","\int \sin\left(a+b\,x\right)\,\mathrm{tan}\left(c+d\,x\right) \,d x","Not used",1,"int(sin(a + b*x)*tan(c + d*x), x)","F"
237,0,-1,139,0.000000,"\text{Not used}","int(cot(c + d*x)*sin(a + b*x),x)","\int \mathrm{cot}\left(c+d\,x\right)\,\sin\left(a+b\,x\right) \,d x","Not used",1,"int(cot(c + d*x)*sin(a + b*x), x)","F"
238,1,313,91,1.948862,"\text{Not used}","int(cos(a + b*x)*cos(c + d*x)^3,x)","{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,3{}\mathrm{i}+b\,x\,1{}\mathrm{i}-d\,x\,3{}\mathrm{i}}\,\left(\frac{b+3\,d}{b^2\,16{}\mathrm{i}-d^2\,144{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(b-3\,d\right)}{b^2\,16{}\mathrm{i}-d^2\,144{}\mathrm{i}}\right)+{\mathrm{e}}^{a\,1{}\mathrm{i}+c\,3{}\mathrm{i}+b\,x\,1{}\mathrm{i}+d\,x\,3{}\mathrm{i}}\,\left(\frac{b-3\,d}{b^2\,16{}\mathrm{i}-d^2\,144{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(b+3\,d\right)}{b^2\,16{}\mathrm{i}-d^2\,144{}\mathrm{i}}\right)+{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left(\frac{3\,b+3\,d}{b^2\,16{}\mathrm{i}-d^2\,16{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(3\,b-3\,d\right)}{b^2\,16{}\mathrm{i}-d^2\,16{}\mathrm{i}}\right)+{\mathrm{e}}^{a\,1{}\mathrm{i}+c\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}+d\,x\,1{}\mathrm{i}}\,\left(\frac{3\,b-3\,d}{b^2\,16{}\mathrm{i}-d^2\,16{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(3\,b+3\,d\right)}{b^2\,16{}\mathrm{i}-d^2\,16{}\mathrm{i}}\right)","Not used",1,"exp(a*1i - c*3i + b*x*1i - d*x*3i)*((b + 3*d)/(b^2*16i - d^2*144i) - (exp(- a*2i - b*x*2i)*(b - 3*d))/(b^2*16i - d^2*144i)) + exp(a*1i + c*3i + b*x*1i + d*x*3i)*((b - 3*d)/(b^2*16i - d^2*144i) - (exp(- a*2i - b*x*2i)*(b + 3*d))/(b^2*16i - d^2*144i)) + exp(a*1i - c*1i + b*x*1i - d*x*1i)*((3*b + 3*d)/(b^2*16i - d^2*16i) - (exp(- a*2i - b*x*2i)*(3*b - 3*d))/(b^2*16i - d^2*16i)) + exp(a*1i + c*1i + b*x*1i + d*x*1i)*((3*b - 3*d)/(b^2*16i - d^2*16i) - (exp(- a*2i - b*x*2i)*(3*b + 3*d))/(b^2*16i - d^2*16i))","B"
239,1,98,62,1.017097,"\text{Not used}","int(cos(a + b*x)*cos(c + d*x)^2,x)","\frac{\sin\left(a+b\,x\right)}{2\,b}-\frac{d\,\left(2\,b\,\sin\left(a-2\,c+b\,x-2\,d\,x\right)-2\,b\,\sin\left(a+2\,c+b\,x+2\,d\,x\right)\right)+b^2\,\sin\left(a-2\,c+b\,x-2\,d\,x\right)+b^2\,\sin\left(a+2\,c+b\,x+2\,d\,x\right)}{16\,b\,d^2-4\,b^3}","Not used",1,"sin(a + b*x)/(2*b) - (d*(2*b*sin(a - 2*c + b*x - 2*d*x) - 2*b*sin(a + 2*c + b*x + 2*d*x)) + b^2*sin(a - 2*c + b*x - 2*d*x) + b^2*sin(a + 2*c + b*x + 2*d*x))/(16*b*d^2 - 4*b^3)","B"
240,1,84,43,1.295408,"\text{Not used}","int(cos(a + b*x)*cos(c + d*x),x)","\frac{b\,\left(\frac{\sin\left(a+c+b\,x+d\,x\right)}{2}+\frac{\sin\left(a-c+b\,x-d\,x\right)}{2}\right)}{b^2-d^2}-\frac{d\,\left(\frac{\sin\left(a+c+b\,x+d\,x\right)}{2}-\frac{\sin\left(a-c+b\,x-d\,x\right)}{2}\right)}{b^2-d^2}","Not used",1,"(b*(sin(a + c + b*x + d*x)/2 + sin(a - c + b*x - d*x)/2))/(b^2 - d^2) - (d*(sin(a + c + b*x + d*x)/2 - sin(a - c + b*x - d*x)/2))/(b^2 - d^2)","B"
241,1,109,26,1.038836,"\text{Not used}","int(cos(a + b*x)/cos(c + b*x),x)","x\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}+c\,1{}\mathrm{i}}}{2}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}}}{2}\right)+x\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}+c\,1{}\mathrm{i}}}{2}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}}}{2}\right)+\frac{\ln\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\right)\,\left(\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}+c\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}-c\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2}\right)}{b}","Not used",1,"x*(exp(c*1i - a*1i)/2 - exp(a*1i - c*1i)/2) + x*(exp(c*1i - a*1i)/2 + exp(a*1i - c*1i)/2) + (log(exp(a*2i - c*2i) + exp(a*2i + b*x*2i))*((exp(c*1i - a*1i)*1i)/2 - (exp(a*1i - c*1i)*1i)/2))/b","B"
242,1,246,35,6.524820,"\text{Not used}","int(cos(a + b*x)/cos(c + b*x)^2,x)","\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)\,1{}\mathrm{i}}{\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)}{2\,b\,\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}-\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)\,1{}\mathrm{i}}{\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)}{2\,b\,\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}}{b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\right)}","Not used",1,"(log(- exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i) + 1) - (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) + 1)*1i)/(exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) + 1))/(2*b*exp(a*2i - c*2i)^(1/2)) - (log((exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) + 1)*1i)/(exp(a*2i)*exp(-c*2i))^(1/2) - exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i) + 1))*(exp(a*2i - c*2i) + 1))/(2*b*exp(a*2i - c*2i)^(1/2)) + (exp(a*1i + b*x*1i)*(exp(a*2i - c*2i) - 1)*1i)/(b*(exp(a*2i - c*2i) + exp(a*2i + b*x*2i)))","B"
243,-1,-1,38,0.000000,"\text{Not used}","int(cos(a + b*x)/cos(c + b*x)^3,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
244,1,495,144,2.444751,"\text{Not used}","int(cos(a + b*x)^2*cos(c + d*x)^3,x)","-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,1{}\mathrm{i}+b\,x\,2{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left(\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(24\,b^2-6\,d^2\right)}{b^2\,d\,128{}\mathrm{i}-d^3\,32{}\mathrm{i}}-\frac{3\,d\,\left(2\,b+d\right)}{b^2\,d\,128{}\mathrm{i}-d^3\,32{}\mathrm{i}}+\frac{3\,d\,{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(2\,b-d\right)}{b^2\,d\,128{}\mathrm{i}-d^3\,32{}\mathrm{i}}\right)+{\mathrm{e}}^{a\,2{}\mathrm{i}+c\,1{}\mathrm{i}+b\,x\,2{}\mathrm{i}+d\,x\,1{}\mathrm{i}}\,\left(\frac{3\,d\,\left(2\,b-d\right)}{b^2\,d\,128{}\mathrm{i}-d^3\,32{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(24\,b^2-6\,d^2\right)}{b^2\,d\,128{}\mathrm{i}-d^3\,32{}\mathrm{i}}-\frac{3\,d\,{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(2\,b+d\right)}{b^2\,d\,128{}\mathrm{i}-d^3\,32{}\mathrm{i}}\right)-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,3{}\mathrm{i}+b\,x\,2{}\mathrm{i}-d\,x\,3{}\mathrm{i}}\,\left(-\frac{3\,d\,\left(2\,b+3\,d\right)}{b^2\,d\,384{}\mathrm{i}-d^3\,864{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(8\,b^2-18\,d^2\right)}{b^2\,d\,384{}\mathrm{i}-d^3\,864{}\mathrm{i}}+\frac{3\,d\,{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(2\,b-3\,d\right)}{b^2\,d\,384{}\mathrm{i}-d^3\,864{}\mathrm{i}}\right)+{\mathrm{e}}^{a\,2{}\mathrm{i}+c\,3{}\mathrm{i}+b\,x\,2{}\mathrm{i}+d\,x\,3{}\mathrm{i}}\,\left(\frac{3\,d\,\left(2\,b-3\,d\right)}{b^2\,d\,384{}\mathrm{i}-d^3\,864{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(8\,b^2-18\,d^2\right)}{b^2\,d\,384{}\mathrm{i}-d^3\,864{}\mathrm{i}}-\frac{3\,d\,{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(2\,b+3\,d\right)}{b^2\,d\,384{}\mathrm{i}-d^3\,864{}\mathrm{i}}\right)","Not used",1,"exp(a*2i + c*1i + b*x*2i + d*x*1i)*((3*d*(2*b - d))/(b^2*d*128i - d^3*32i) + (exp(- a*2i - b*x*2i)*(24*b^2 - 6*d^2))/(b^2*d*128i - d^3*32i) - (3*d*exp(- a*4i - b*x*4i)*(2*b + d))/(b^2*d*128i - d^3*32i)) - exp(a*2i - c*1i + b*x*2i - d*x*1i)*((exp(- a*2i - b*x*2i)*(24*b^2 - 6*d^2))/(b^2*d*128i - d^3*32i) - (3*d*(2*b + d))/(b^2*d*128i - d^3*32i) + (3*d*exp(- a*4i - b*x*4i)*(2*b - d))/(b^2*d*128i - d^3*32i)) - exp(a*2i - c*3i + b*x*2i - d*x*3i)*((exp(- a*2i - b*x*2i)*(8*b^2 - 18*d^2))/(b^2*d*384i - d^3*864i) - (3*d*(2*b + 3*d))/(b^2*d*384i - d^3*864i) + (3*d*exp(- a*4i - b*x*4i)*(2*b - 3*d))/(b^2*d*384i - d^3*864i)) + exp(a*2i + c*3i + b*x*2i + d*x*3i)*((3*d*(2*b - 3*d))/(b^2*d*384i - d^3*864i) + (exp(- a*2i - b*x*2i)*(8*b^2 - 18*d^2))/(b^2*d*384i - d^3*864i) - (3*d*exp(- a*4i - b*x*4i)*(2*b + 3*d))/(b^2*d*384i - d^3*864i))","B"
245,1,177,88,1.058022,"\text{Not used}","int(cos(a + b*x)^2*cos(c + d*x)^2,x)","\frac{2\,b^3\,\sin\left(2\,c+2\,d\,x\right)-2\,d^3\,\sin\left(2\,a+2\,b\,x\right)+b\,d^2\,\sin\left(2\,a-2\,c+2\,b\,x-2\,d\,x\right)-b\,d^2\,\sin\left(2\,a+2\,c+2\,b\,x+2\,d\,x\right)+b^2\,d\,\sin\left(2\,a-2\,c+2\,b\,x-2\,d\,x\right)+b^2\,d\,\sin\left(2\,a+2\,c+2\,b\,x+2\,d\,x\right)+2\,b^2\,d\,\sin\left(2\,a+2\,b\,x\right)-2\,b\,d^2\,\sin\left(2\,c+2\,d\,x\right)-4\,b\,d^3\,x+4\,b^3\,d\,x}{16\,b\,d\,\left(b^2-d^2\right)}","Not used",1,"(2*b^3*sin(2*c + 2*d*x) - 2*d^3*sin(2*a + 2*b*x) + b*d^2*sin(2*a - 2*c + 2*b*x - 2*d*x) - b*d^2*sin(2*a + 2*c + 2*b*x + 2*d*x) + b^2*d*sin(2*a - 2*c + 2*b*x - 2*d*x) + b^2*d*sin(2*a + 2*c + 2*b*x + 2*d*x) + 2*b^2*d*sin(2*a + 2*b*x) - 2*b*d^2*sin(2*c + 2*d*x) - 4*b*d^3*x + 4*b^3*d*x)/(16*b*d*(b^2 - d^2))","B"
246,1,999,195,4.541816,"\text{Not used}","int(cos(a + b*x)^3*cos(c + d*x)^3,x)","-{\mathrm{e}}^{a\,3{}\mathrm{i}-c\,1{}\mathrm{i}+b\,x\,3{}\mathrm{i}-d\,x\,1{}\mathrm{i}}\,\left(\frac{-9\,b^3-3\,b^2\,d+9\,b\,d^2+3\,d^3}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-9\,b^3+3\,b^2\,d+9\,b\,d^2-3\,d^3\right)}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-81\,b^3-81\,b^2\,d+9\,b\,d^2+9\,d^3\right)}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-81\,b^3+81\,b^2\,d+9\,b\,d^2-9\,d^3\right)}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}\right)-{\mathrm{e}}^{a\,3{}\mathrm{i}+c\,1{}\mathrm{i}+b\,x\,3{}\mathrm{i}+d\,x\,1{}\mathrm{i}}\,\left(\frac{-9\,b^3+3\,b^2\,d+9\,b\,d^2-3\,d^3}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-9\,b^3-3\,b^2\,d+9\,b\,d^2+3\,d^3\right)}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-81\,b^3+81\,b^2\,d+9\,b\,d^2-9\,d^3\right)}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-81\,b^3-81\,b^2\,d+9\,b\,d^2+9\,d^3\right)}{b^4\,576{}\mathrm{i}-b^2\,d^2\,640{}\mathrm{i}+d^4\,64{}\mathrm{i}}\right)-{\mathrm{e}}^{a\,3{}\mathrm{i}-c\,3{}\mathrm{i}+b\,x\,3{}\mathrm{i}-d\,x\,3{}\mathrm{i}}\,\left(\frac{-b^3-b^2\,d+9\,b\,d^2+9\,d^3}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-b^3+b^2\,d+9\,b\,d^2-9\,d^3\right)}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-9\,b^3-27\,b^2\,d+9\,b\,d^2+27\,d^3\right)}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-9\,b^3+27\,b^2\,d+9\,b\,d^2-27\,d^3\right)}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}\right)-{\mathrm{e}}^{a\,3{}\mathrm{i}+c\,3{}\mathrm{i}+b\,x\,3{}\mathrm{i}+d\,x\,3{}\mathrm{i}}\,\left(\frac{-b^3+b^2\,d+9\,b\,d^2-9\,d^3}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,6{}\mathrm{i}-b\,x\,6{}\mathrm{i}}\,\left(-b^3-b^2\,d+9\,b\,d^2+9\,d^3\right)}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}+\frac{{\mathrm{e}}^{-a\,2{}\mathrm{i}-b\,x\,2{}\mathrm{i}}\,\left(-9\,b^3+27\,b^2\,d+9\,b\,d^2-27\,d^3\right)}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}-\frac{{\mathrm{e}}^{-a\,4{}\mathrm{i}-b\,x\,4{}\mathrm{i}}\,\left(-9\,b^3-27\,b^2\,d+9\,b\,d^2+27\,d^3\right)}{b^4\,192{}\mathrm{i}-b^2\,d^2\,1920{}\mathrm{i}+d^4\,1728{}\mathrm{i}}\right)","Not used",1,"- exp(a*3i - c*1i + b*x*3i - d*x*1i)*((9*b*d^2 - 3*b^2*d - 9*b^3 + 3*d^3)/(b^4*576i + d^4*64i - b^2*d^2*640i) - (exp(- a*6i - b*x*6i)*(9*b*d^2 + 3*b^2*d - 9*b^3 - 3*d^3))/(b^4*576i + d^4*64i - b^2*d^2*640i) + (exp(- a*2i - b*x*2i)*(9*b*d^2 - 81*b^2*d - 81*b^3 + 9*d^3))/(b^4*576i + d^4*64i - b^2*d^2*640i) - (exp(- a*4i - b*x*4i)*(9*b*d^2 + 81*b^2*d - 81*b^3 - 9*d^3))/(b^4*576i + d^4*64i - b^2*d^2*640i)) - exp(a*3i + c*1i + b*x*3i + d*x*1i)*((9*b*d^2 + 3*b^2*d - 9*b^3 - 3*d^3)/(b^4*576i + d^4*64i - b^2*d^2*640i) - (exp(- a*6i - b*x*6i)*(9*b*d^2 - 3*b^2*d - 9*b^3 + 3*d^3))/(b^4*576i + d^4*64i - b^2*d^2*640i) + (exp(- a*2i - b*x*2i)*(9*b*d^2 + 81*b^2*d - 81*b^3 - 9*d^3))/(b^4*576i + d^4*64i - b^2*d^2*640i) - (exp(- a*4i - b*x*4i)*(9*b*d^2 - 81*b^2*d - 81*b^3 + 9*d^3))/(b^4*576i + d^4*64i - b^2*d^2*640i)) - exp(a*3i - c*3i + b*x*3i - d*x*3i)*((9*b*d^2 - b^2*d - b^3 + 9*d^3)/(b^4*192i + d^4*1728i - b^2*d^2*1920i) - (exp(- a*6i - b*x*6i)*(9*b*d^2 + b^2*d - b^3 - 9*d^3))/(b^4*192i + d^4*1728i - b^2*d^2*1920i) + (exp(- a*2i - b*x*2i)*(9*b*d^2 - 27*b^2*d - 9*b^3 + 27*d^3))/(b^4*192i + d^4*1728i - b^2*d^2*1920i) - (exp(- a*4i - b*x*4i)*(9*b*d^2 + 27*b^2*d - 9*b^3 - 27*d^3))/(b^4*192i + d^4*1728i - b^2*d^2*1920i)) - exp(a*3i + c*3i + b*x*3i + d*x*3i)*((9*b*d^2 + b^2*d - b^3 - 9*d^3)/(b^4*192i + d^4*1728i - b^2*d^2*1920i) - (exp(- a*6i - b*x*6i)*(9*b*d^2 - b^2*d - b^3 + 9*d^3))/(b^4*192i + d^4*1728i - b^2*d^2*1920i) + (exp(- a*2i - b*x*2i)*(9*b*d^2 + 27*b^2*d - 9*b^3 - 27*d^3))/(b^4*192i + d^4*1728i - b^2*d^2*1920i) - (exp(- a*4i - b*x*4i)*(9*b*d^2 - 27*b^2*d - 9*b^3 + 27*d^3))/(b^4*192i + d^4*1728i - b^2*d^2*1920i))","B"
247,-1,-1,72,0.000000,"\text{Not used}","int(cos(a + b*x)*tan(c + b*x)^3,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
248,1,285,46,5.242873,"\text{Not used}","int(cos(a + b*x)*tan(c + b*x)^2,x)","-\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,b}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,b}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)}{b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}\,1{}\mathrm{i}+{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}\right)}+\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)\,1{}\mathrm{i}}{\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)}{2\,b\,\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}-\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)\,1{}\mathrm{i}}{\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)}{2\,b\,\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}","Not used",1,"(exp(a*1i + b*x*1i)*1i)/(2*b) - (exp(- a*1i - b*x*1i)*1i)/(2*b) - (exp(a*1i + b*x*1i)*(exp(a*2i - c*2i) - 1))/(b*(exp(a*2i - c*2i)*1i + exp(a*2i + b*x*2i)*1i)) + (log(- exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i) + 1) - (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) + 1)*1i)/(exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) + 1))/(2*b*exp(a*2i - c*2i)^(1/2)) - (log((exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) + 1)*1i)/(exp(a*2i)*exp(-c*2i))^(1/2) - exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i) + 1))*(exp(a*2i - c*2i) + 1))/(2*b*exp(a*2i - c*2i)^(1/2))","B"
249,1,237,30,4.726503,"\text{Not used}","int(cos(a + b*x)*tan(c + b*x),x)","-\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2\,b}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2\,b}+\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}}{\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)}{2\,b\,\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}-\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}\right)+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}}{\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)}{2\,b\,\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}","Not used",1,"(log(- exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i)*1i - 1i) - (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) - 1)*1i)/(-exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) - 1))/(2*b*(-exp(a*2i - c*2i))^(1/2)) - exp(a*1i + b*x*1i)/(2*b) - exp(- a*1i - b*x*1i)/(2*b) - (log((exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) - 1)*1i)/(-exp(a*2i)*exp(-c*2i))^(1/2) - exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i)*1i - 1i))*(exp(a*2i - c*2i) - 1))/(2*b*(-exp(a*2i - c*2i))^(1/2))","B"
250,1,231,29,5.386296,"\text{Not used}","int(cos(a + b*x)*cot(c + b*x),x)","\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}}{2\,b}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}}{2\,b}-\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)\,1{}\mathrm{i}}{\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)}{2\,b\,\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}+\frac{\ln\left(-{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,1{}\mathrm{i}+1{}\mathrm{i}\right)+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}+1\right)\,1{}\mathrm{i}}{\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)}{2\,b\,\sqrt{{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}","Not used",1,"exp(- a*1i - b*x*1i)/(2*b) + exp(a*1i + b*x*1i)/(2*b) - (log(- exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i)*1i + 1i) - (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) + 1)*1i)/(exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) + 1))/(2*b*exp(a*2i - c*2i)^(1/2)) + (log((exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) + 1)*1i)/(exp(a*2i)*exp(-c*2i))^(1/2) - exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i)*1i + 1i))*(exp(a*2i - c*2i) + 1))/(2*b*exp(a*2i - c*2i)^(1/2))","B"
251,1,289,46,5.439194,"\text{Not used}","int(cos(a + b*x)*cot(c + b*x)^2,x)","-\frac{{\mathrm{e}}^{-a\,1{}\mathrm{i}-b\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,b}+\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,1{}\mathrm{i}}{2\,b}-\frac{{\mathrm{e}}^{a\,1{}\mathrm{i}+b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}+1\right)}{b\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}\,1{}\mathrm{i}-{\mathrm{e}}^{a\,2{}\mathrm{i}+b\,x\,2{}\mathrm{i}}\,1{}\mathrm{i}\right)}-\frac{\ln\left({\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)-\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}}{\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)}{2\,b\,\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}+\frac{\ln\left({\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x\,1{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)+\frac{{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}-1\right)\,1{}\mathrm{i}}{\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}}\,{\mathrm{e}}^{-c\,2{}\mathrm{i}}}}\right)\,\left({\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}-1\right)}{2\,b\,\sqrt{-{\mathrm{e}}^{a\,2{}\mathrm{i}-c\,2{}\mathrm{i}}}}","Not used",1,"(exp(a*1i + b*x*1i)*1i)/(2*b) - (exp(- a*1i - b*x*1i)*1i)/(2*b) - (exp(a*1i + b*x*1i)*(exp(a*2i - c*2i) + 1))/(b*(exp(a*2i - c*2i)*1i - exp(a*2i + b*x*2i)*1i)) - (log(exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i) - 1) - (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) - 1)*1i)/(-exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) - 1))/(2*b*(-exp(a*2i - c*2i))^(1/2)) + (log(exp(a*1i)*exp(b*x*1i)*(exp(a*2i)*exp(-c*2i) - 1) + (exp(a*2i)*exp(-c*2i)*(exp(a*2i)*exp(-c*2i) - 1)*1i)/(-exp(a*2i)*exp(-c*2i))^(1/2))*(exp(a*2i - c*2i) - 1))/(2*b*(-exp(a*2i - c*2i))^(1/2))","B"
252,-1,-1,73,0.000000,"\text{Not used}","int(cos(a + b*x)*cot(c + b*x)^3,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
253,0,-1,134,0.000000,"\text{Not used}","int(cos(a + b*x)*tan(c + d*x),x)","\int \cos\left(a+b\,x\right)\,\mathrm{tan}\left(c+d\,x\right) \,d x","Not used",1,"int(cos(a + b*x)*tan(c + d*x), x)","F"
254,0,-1,130,0.000000,"\text{Not used}","int(cos(a + b*x)*cot(c + d*x),x)","\int \cos\left(a+b\,x\right)\,\mathrm{cot}\left(c+d\,x\right) \,d x","Not used",1,"int(cos(a + b*x)*cot(c + d*x), x)","F"