1,0,-1,119,0.000000,"\text{Not used}","int((a + a*sin(c + d*x))^(7/2),x)","\int {\left(a+a\,\sin\left(c+d\,x\right)\right)}^{7/2} \,d x","Not used",1,"int((a + a*sin(c + d*x))^(7/2), x)","F"
2,0,-1,89,0.000000,"\text{Not used}","int((a + a*sin(c + d*x))^(5/2),x)","\int {\left(a+a\,\sin\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((a + a*sin(c + d*x))^(5/2), x)","F"
3,0,-1,59,0.000000,"\text{Not used}","int((a + a*sin(c + d*x))^(3/2),x)","\int {\left(a+a\,\sin\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a + a*sin(c + d*x))^(3/2), x)","F"
4,1,33,26,0.218080,"\text{Not used}","int((a + a*sin(c + d*x))^(1/2),x)","-\frac{2\,\cos\left(c+d\,x\right)\,\sqrt{a\,\left(\sin\left(c+d\,x\right)+1\right)}}{d\,\left(\sin\left(c+d\,x\right)+1\right)}","Not used",1,"-(2*cos(c + d*x)*(a*(sin(c + d*x) + 1))^(1/2))/(d*(sin(c + d*x) + 1))","B"
5,1,49,47,0.385679,"\text{Not used}","int(1/(a + a*sin(c + d*x))^(1/2),x)","-\frac{\mathrm{F}\left(\frac{\pi }{4}-\frac{c}{2}-\frac{d\,x}{2}\middle|1\right)\,\sqrt{\frac{2\,\left(a+a\,\sin\left(c+d\,x\right)\right)}{a}}}{d\,\sqrt{a+a\,\sin\left(c+d\,x\right)}}","Not used",1,"-(ellipticF(pi/4 - c/2 - (d*x)/2, 1)*((2*(a + a*sin(c + d*x)))/a)^(1/2))/(d*(a + a*sin(c + d*x))^(1/2))","B"
6,0,-1,77,0.000000,"\text{Not used}","int(1/(a + a*sin(c + d*x))^(3/2),x)","\int \frac{1}{{\left(a+a\,\sin\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + a*sin(c + d*x))^(3/2), x)","F"
7,0,-1,107,0.000000,"\text{Not used}","int(1/(a + a*sin(c + d*x))^(5/2),x)","\int \frac{1}{{\left(a+a\,\sin\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + a*sin(c + d*x))^(5/2), x)","F"
8,0,-1,67,0.000000,"\text{Not used}","int((a + a*sin(c + d*x))^(4/3),x)","\int {\left(a+a\,\sin\left(c+d\,x\right)\right)}^{4/3} \,d x","Not used",1,"int((a + a*sin(c + d*x))^(4/3), x)","F"
9,0,-1,66,0.000000,"\text{Not used}","int((a + a*sin(c + d*x))^(2/3),x)","\int {\left(a+a\,\sin\left(c+d\,x\right)\right)}^{2/3} \,d x","Not used",1,"int((a + a*sin(c + d*x))^(2/3), x)","F"
10,0,-1,66,0.000000,"\text{Not used}","int((a + a*sin(c + d*x))^(1/3),x)","\int {\left(a+a\,\sin\left(c+d\,x\right)\right)}^{1/3} \,d x","Not used",1,"int((a + a*sin(c + d*x))^(1/3), x)","F"
11,0,-1,66,0.000000,"\text{Not used}","int(1/(a + a*sin(c + d*x))^(1/3),x)","\int \frac{1}{{\left(a+a\,\sin\left(c+d\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int(1/(a + a*sin(c + d*x))^(1/3), x)","F"
12,0,-1,66,0.000000,"\text{Not used}","int(1/(a + a*sin(c + d*x))^(2/3),x)","\int \frac{1}{{\left(a+a\,\sin\left(c+d\,x\right)\right)}^{2/3}} \,d x","Not used",1,"int(1/(a + a*sin(c + d*x))^(2/3), x)","F"
13,0,-1,69,0.000000,"\text{Not used}","int(1/(a + a*sin(c + d*x))^(4/3),x)","\int \frac{1}{{\left(a+a\,\sin\left(c+d\,x\right)\right)}^{4/3}} \,d x","Not used",1,"int(1/(a + a*sin(c + d*x))^(4/3), x)","F"
14,0,-1,74,0.000000,"\text{Not used}","int((a + a*sin(c + d*x))^n,x)","\int {\left(a+a\,\sin\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int((a + a*sin(c + d*x))^n, x)","F"
15,0,-1,74,0.000000,"\text{Not used}","int((a - a*sin(c + d*x))^n,x)","\int {\left(a-a\,\sin\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int((a - a*sin(c + d*x))^n, x)","F"
16,0,-1,60,0.000000,"\text{Not used}","int((2*sin(c + d*x) + 2)^n,x)","\int {\left(2\,\sin\left(c+d\,x\right)+2\right)}^n \,d x","Not used",1,"int((2*sin(c + d*x) + 2)^n, x)","F"
17,0,-1,59,0.000000,"\text{Not used}","int((2 - 2*sin(c + d*x))^n,x)","\int {\left(2-2\,\sin\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int((2 - 2*sin(c + d*x))^n, x)","F"
18,1,40,31,4.727667,"\text{Not used}","int(1/(3*sin(c + d*x) + 5),x)","\frac{\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{3}{4}\right)}{2\,d}-\frac{\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}}{2\,d}","Not used",1,"atan((5*tan(c/2 + (d*x)/2))/4 + 3/4)/(2*d) - (atan(tan(c/2 + (d*x)/2)) - (d*x)/2)/(2*d)","B"
19,1,83,56,4.523865,"\text{Not used}","int(1/(3*sin(c + d*x) + 5)^2,x)","\frac{5\,\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{3}{4}\right)}{32\,d}-\frac{5\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{32\,d}+\frac{\frac{9\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{200}+\frac{3}{40}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\frac{6\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{5}+1\right)}","Not used",1,"(5*atan((5*tan(c/2 + (d*x)/2))/4 + 3/4))/(32*d) - (5*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(32*d) + ((9*tan(c/2 + (d*x)/2))/200 + 3/40)/(d*((6*tan(c/2 + (d*x)/2))/5 + tan(c/2 + (d*x)/2)^2 + 1))","B"
20,1,111,81,4.602896,"\text{Not used}","int(1/(3*sin(c + d*x) + 5)^3,x)","\frac{59\,\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{3}{4}\right)}{1024\,d}-\frac{59\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{1024\,d}+\frac{\frac{963\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{1280}+\frac{11739\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{6400}+\frac{2313\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{1280}+\frac{273}{256}}{d\,{\left(5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+6\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+5\right)}^2}","Not used",1,"(59*atan((5*tan(c/2 + (d*x)/2))/4 + 3/4))/(1024*d) - (59*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(1024*d) + ((2313*tan(c/2 + (d*x)/2))/1280 + (11739*tan(c/2 + (d*x)/2)^2)/6400 + (963*tan(c/2 + (d*x)/2)^3)/1280 + 273/256)/(d*(6*tan(c/2 + (d*x)/2) + 5*tan(c/2 + (d*x)/2)^2 + 5)^2)","B"
21,1,187,106,5.063115,"\text{Not used}","int(1/(3*sin(c + d*x) + 5)^4,x)","\frac{385\,\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{3}{4}\right)}{16384\,d}-\frac{385\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{16384\,d}+\frac{\frac{39933\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{2560000}+\frac{672723\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{12800000}+\frac{2870073\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{32000000}+\frac{604899\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{6400000}+\frac{145233\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2560000}+\frac{10287}{512000}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+\frac{18\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{5}+\frac{183\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{25}+\frac{1116\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{125}+\frac{183\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{25}+\frac{18\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{5}+1\right)}","Not used",1,"(385*atan((5*tan(c/2 + (d*x)/2))/4 + 3/4))/(16384*d) - (385*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(16384*d) + ((145233*tan(c/2 + (d*x)/2))/2560000 + (604899*tan(c/2 + (d*x)/2)^2)/6400000 + (2870073*tan(c/2 + (d*x)/2)^3)/32000000 + (672723*tan(c/2 + (d*x)/2)^4)/12800000 + (39933*tan(c/2 + (d*x)/2)^5)/2560000 + 10287/512000)/(d*((18*tan(c/2 + (d*x)/2))/5 + (183*tan(c/2 + (d*x)/2)^2)/25 + (1116*tan(c/2 + (d*x)/2)^3)/125 + (183*tan(c/2 + (d*x)/2)^4)/25 + (18*tan(c/2 + (d*x)/2)^5)/5 + tan(c/2 + (d*x)/2)^6 + 1))","B"
22,1,40,33,4.526081,"\text{Not used}","int(-1/(3*sin(c + d*x) - 5),x)","\frac{\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{3}{4}\right)}{2\,d}-\frac{\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}}{2\,d}","Not used",1,"atan((5*tan(c/2 + (d*x)/2))/4 - 3/4)/(2*d) - (atan(tan(c/2 + (d*x)/2)) - (d*x)/2)/(2*d)","B"
23,1,83,58,4.320722,"\text{Not used}","int(1/(3*sin(c + d*x) - 5)^2,x)","\frac{5\,\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{3}{4}\right)}{32\,d}-\frac{5\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{32\,d}+\frac{\frac{9\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{200}-\frac{3}{40}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-\frac{6\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{5}+1\right)}","Not used",1,"(5*atan((5*tan(c/2 + (d*x)/2))/4 - 3/4))/(32*d) - (5*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(32*d) + ((9*tan(c/2 + (d*x)/2))/200 - 3/40)/(d*(tan(c/2 + (d*x)/2)^2 - (6*tan(c/2 + (d*x)/2))/5 + 1))","B"
24,1,111,83,4.764758,"\text{Not used}","int(-1/(3*sin(c + d*x) - 5)^3,x)","\frac{59\,\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{3}{4}\right)}{1024\,d}-\frac{59\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{1024\,d}+\frac{\frac{963\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{1280}-\frac{11739\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{6400}+\frac{2313\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{1280}-\frac{273}{256}}{d\,{\left(5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-6\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+5\right)}^2}","Not used",1,"(59*atan((5*tan(c/2 + (d*x)/2))/4 - 3/4))/(1024*d) - (59*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(1024*d) + ((2313*tan(c/2 + (d*x)/2))/1280 - (11739*tan(c/2 + (d*x)/2)^2)/6400 + (963*tan(c/2 + (d*x)/2)^3)/1280 - 273/256)/(d*(5*tan(c/2 + (d*x)/2)^2 - 6*tan(c/2 + (d*x)/2) + 5)^2)","B"
25,1,187,108,5.084722,"\text{Not used}","int(1/(3*sin(c + d*x) - 5)^4,x)","\frac{385\,\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{3}{4}\right)}{16384\,d}-\frac{385\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{16384\,d}+\frac{\frac{39933\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{2560000}-\frac{672723\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{12800000}+\frac{2870073\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{32000000}-\frac{604899\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{6400000}+\frac{145233\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2560000}-\frac{10287}{512000}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-\frac{18\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{5}+\frac{183\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{25}-\frac{1116\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{125}+\frac{183\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{25}-\frac{18\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{5}+1\right)}","Not used",1,"(385*atan((5*tan(c/2 + (d*x)/2))/4 - 3/4))/(16384*d) - (385*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(16384*d) + ((145233*tan(c/2 + (d*x)/2))/2560000 - (604899*tan(c/2 + (d*x)/2)^2)/6400000 + (2870073*tan(c/2 + (d*x)/2)^3)/32000000 - (672723*tan(c/2 + (d*x)/2)^4)/12800000 + (39933*tan(c/2 + (d*x)/2)^5)/2560000 - 10287/512000)/(d*((183*tan(c/2 + (d*x)/2)^2)/25 - (18*tan(c/2 + (d*x)/2))/5 - (1116*tan(c/2 + (d*x)/2)^3)/125 + (183*tan(c/2 + (d*x)/2)^4)/25 - (18*tan(c/2 + (d*x)/2)^5)/5 + tan(c/2 + (d*x)/2)^6 + 1))","B"
26,1,40,33,4.496949,"\text{Not used}","int(1/(3*sin(c + d*x) - 5),x)","\frac{\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}}{2\,d}-\frac{\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{3}{4}\right)}{2\,d}","Not used",1,"(atan(tan(c/2 + (d*x)/2)) - (d*x)/2)/(2*d) - atan((5*tan(c/2 + (d*x)/2))/4 - 3/4)/(2*d)","B"
27,1,83,58,0.002082,"\text{Not used}","int(1/(3*sin(c + d*x) - 5)^2,x)","\frac{5\,\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{3}{4}\right)}{32\,d}-\frac{5\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{32\,d}+\frac{\frac{9\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{200}-\frac{3}{40}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-\frac{6\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{5}+1\right)}","Not used",1,"(5*atan((5*tan(c/2 + (d*x)/2))/4 - 3/4))/(32*d) - (5*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(32*d) + ((9*tan(c/2 + (d*x)/2))/200 - 3/40)/(d*(tan(c/2 + (d*x)/2)^2 - (6*tan(c/2 + (d*x)/2))/5 + 1))","B"
28,1,112,83,4.644721,"\text{Not used}","int(1/(3*sin(c + d*x) - 5)^3,x)","\frac{59\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{1024\,d}-\frac{59\,\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{3}{4}\right)}{1024\,d}-\frac{\frac{963\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{1280}-\frac{11739\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{6400}+\frac{2313\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{1280}-\frac{273}{256}}{d\,{\left(5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-6\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+5\right)}^2}","Not used",1,"(59*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(1024*d) - (59*atan((5*tan(c/2 + (d*x)/2))/4 - 3/4))/(1024*d) - ((2313*tan(c/2 + (d*x)/2))/1280 - (11739*tan(c/2 + (d*x)/2)^2)/6400 + (963*tan(c/2 + (d*x)/2)^3)/1280 - 273/256)/(d*(5*tan(c/2 + (d*x)/2)^2 - 6*tan(c/2 + (d*x)/2) + 5)^2)","B"
29,1,187,108,0.002270,"\text{Not used}","int(1/(3*sin(c + d*x) - 5)^4,x)","\frac{385\,\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{3}{4}\right)}{16384\,d}-\frac{385\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{16384\,d}+\frac{\frac{39933\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{2560000}-\frac{672723\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{12800000}+\frac{2870073\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{32000000}-\frac{604899\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{6400000}+\frac{145233\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2560000}-\frac{10287}{512000}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-\frac{18\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{5}+\frac{183\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{25}-\frac{1116\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{125}+\frac{183\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{25}-\frac{18\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{5}+1\right)}","Not used",1,"(385*atan((5*tan(c/2 + (d*x)/2))/4 - 3/4))/(16384*d) - (385*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(16384*d) + ((145233*tan(c/2 + (d*x)/2))/2560000 - (604899*tan(c/2 + (d*x)/2)^2)/6400000 + (2870073*tan(c/2 + (d*x)/2)^3)/32000000 - (672723*tan(c/2 + (d*x)/2)^4)/12800000 + (39933*tan(c/2 + (d*x)/2)^5)/2560000 - 10287/512000)/(d*((183*tan(c/2 + (d*x)/2)^2)/25 - (18*tan(c/2 + (d*x)/2))/5 - (1116*tan(c/2 + (d*x)/2)^3)/125 + (183*tan(c/2 + (d*x)/2)^4)/25 - (18*tan(c/2 + (d*x)/2)^5)/5 + tan(c/2 + (d*x)/2)^6 + 1))","B"
30,1,40,31,4.513233,"\text{Not used}","int(-1/(3*sin(c + d*x) + 5),x)","\frac{\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}}{2\,d}-\frac{\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{3}{4}\right)}{2\,d}","Not used",1,"(atan(tan(c/2 + (d*x)/2)) - (d*x)/2)/(2*d) - atan((5*tan(c/2 + (d*x)/2))/4 + 3/4)/(2*d)","B"
31,1,83,56,0.002075,"\text{Not used}","int(1/(3*sin(c + d*x) + 5)^2,x)","\frac{5\,\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{3}{4}\right)}{32\,d}-\frac{5\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{32\,d}+\frac{\frac{9\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{200}+\frac{3}{40}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\frac{6\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{5}+1\right)}","Not used",1,"(5*atan((5*tan(c/2 + (d*x)/2))/4 + 3/4))/(32*d) - (5*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(32*d) + ((9*tan(c/2 + (d*x)/2))/200 + 3/40)/(d*((6*tan(c/2 + (d*x)/2))/5 + tan(c/2 + (d*x)/2)^2 + 1))","B"
32,1,112,81,4.652969,"\text{Not used}","int(-1/(3*sin(c + d*x) + 5)^3,x)","\frac{59\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{1024\,d}-\frac{59\,\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{3}{4}\right)}{1024\,d}-\frac{\frac{963\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{1280}+\frac{11739\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{6400}+\frac{2313\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{1280}+\frac{273}{256}}{d\,{\left(5\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+6\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+5\right)}^2}","Not used",1,"(59*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(1024*d) - (59*atan((5*tan(c/2 + (d*x)/2))/4 + 3/4))/(1024*d) - ((2313*tan(c/2 + (d*x)/2))/1280 + (11739*tan(c/2 + (d*x)/2)^2)/6400 + (963*tan(c/2 + (d*x)/2)^3)/1280 + 273/256)/(d*(6*tan(c/2 + (d*x)/2) + 5*tan(c/2 + (d*x)/2)^2 + 5)^2)","B"
33,1,187,106,0.002113,"\text{Not used}","int(1/(3*sin(c + d*x) + 5)^4,x)","\frac{385\,\mathrm{atan}\left(\frac{5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{3}{4}\right)}{16384\,d}-\frac{385\,\left(\mathrm{atan}\left(\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)\right)-\frac{d\,x}{2}\right)}{16384\,d}+\frac{\frac{39933\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{2560000}+\frac{672723\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{12800000}+\frac{2870073\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{32000000}+\frac{604899\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{6400000}+\frac{145233\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{2560000}+\frac{10287}{512000}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+\frac{18\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{5}+\frac{183\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{25}+\frac{1116\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{125}+\frac{183\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{25}+\frac{18\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{5}+1\right)}","Not used",1,"(385*atan((5*tan(c/2 + (d*x)/2))/4 + 3/4))/(16384*d) - (385*(atan(tan(c/2 + (d*x)/2)) - (d*x)/2))/(16384*d) + ((145233*tan(c/2 + (d*x)/2))/2560000 + (604899*tan(c/2 + (d*x)/2)^2)/6400000 + (2870073*tan(c/2 + (d*x)/2)^3)/32000000 + (672723*tan(c/2 + (d*x)/2)^4)/12800000 + (39933*tan(c/2 + (d*x)/2)^5)/2560000 + 10287/512000)/(d*((18*tan(c/2 + (d*x)/2))/5 + (183*tan(c/2 + (d*x)/2)^2)/25 + (1116*tan(c/2 + (d*x)/2)^3)/125 + (183*tan(c/2 + (d*x)/2)^4)/25 + (18*tan(c/2 + (d*x)/2)^5)/5 + tan(c/2 + (d*x)/2)^6 + 1))","B"
34,1,19,63,4.614420,"\text{Not used}","int(1/(5*sin(c + d*x) + 3),x)","-\frac{\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{5}{4}\right)}{2\,d}","Not used",1,"-atanh((3*tan(c/2 + (d*x)/2))/4 + 5/4)/(2*d)","B"
35,1,64,88,4.562292,"\text{Not used}","int(1/(5*sin(c + d*x) + 3)^2,x)","\frac{3\,\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{5}{4}\right)}{32\,d}-\frac{\frac{25\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{72}+\frac{5}{24}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\frac{10\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{3}+1\right)}","Not used",1,"(3*atanh((3*tan(c/2 + (d*x)/2))/4 + 5/4))/(32*d) - ((25*tan(c/2 + (d*x)/2))/72 + 5/24)/(d*((10*tan(c/2 + (d*x)/2))/3 + tan(c/2 + (d*x)/2)^2 + 1))","B"
36,1,115,113,5.725249,"\text{Not used}","int(1/(5*sin(c + d*x) + 3)^3,x)","\frac{-\frac{125\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{6912}+\frac{3245\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{20736}+\frac{1225\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{6912}+\frac{55}{2304}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+\frac{20\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{3}+\frac{118\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{9}+\frac{20\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{3}+1\right)}-\frac{43\,\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{5}{4}\right)}{1024\,d}","Not used",1,"((1225*tan(c/2 + (d*x)/2))/6912 + (3245*tan(c/2 + (d*x)/2)^2)/20736 - (125*tan(c/2 + (d*x)/2)^3)/6912 + 55/2304)/(d*((20*tan(c/2 + (d*x)/2))/3 + (118*tan(c/2 + (d*x)/2)^2)/9 + (20*tan(c/2 + (d*x)/2)^3)/3 + tan(c/2 + (d*x)/2)^4 + 1)) - (43*atanh((3*tan(c/2 + (d*x)/2))/4 + 5/4))/(1024*d)","B"
37,1,168,138,7.043411,"\text{Not used}","int(1/(5*sin(c + d*x) + 3)^4,x)","\frac{279\,\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{5}{4}\right)}{16384\,d}-\frac{\frac{15725\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{331776}+\frac{270245\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{995328}+\frac{3047275\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{4478976}+\frac{296245\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{497664}+\frac{63425\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{331776}+\frac{7915}{331776}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+\frac{109\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{3}+\frac{1540\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{27}+\frac{109\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{3}+10\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1\right)}","Not used",1,"(279*atanh((3*tan(c/2 + (d*x)/2))/4 + 5/4))/(16384*d) - ((63425*tan(c/2 + (d*x)/2))/331776 + (296245*tan(c/2 + (d*x)/2)^2)/497664 + (3047275*tan(c/2 + (d*x)/2)^3)/4478976 + (270245*tan(c/2 + (d*x)/2)^4)/995328 + (15725*tan(c/2 + (d*x)/2)^5)/331776 + 7915/331776)/(d*(10*tan(c/2 + (d*x)/2) + (109*tan(c/2 + (d*x)/2)^2)/3 + (1540*tan(c/2 + (d*x)/2)^3)/27 + (109*tan(c/2 + (d*x)/2)^4)/3 + 10*tan(c/2 + (d*x)/2)^5 + tan(c/2 + (d*x)/2)^6 + 1))","B"
38,1,19,65,4.539235,"\text{Not used}","int(-1/(5*sin(c + d*x) - 3),x)","-\frac{\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{5}{4}\right)}{2\,d}","Not used",1,"-atanh((3*tan(c/2 + (d*x)/2))/4 - 5/4)/(2*d)","B"
39,1,64,90,4.568564,"\text{Not used}","int(1/(5*sin(c + d*x) - 3)^2,x)","\frac{3\,\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{5}{4}\right)}{32\,d}-\frac{\frac{25\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{72}-\frac{5}{24}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-\frac{10\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{3}+1\right)}","Not used",1,"(3*atanh((3*tan(c/2 + (d*x)/2))/4 - 5/4))/(32*d) - ((25*tan(c/2 + (d*x)/2))/72 - 5/24)/(d*(tan(c/2 + (d*x)/2)^2 - (10*tan(c/2 + (d*x)/2))/3 + 1))","B"
40,1,116,115,5.726284,"\text{Not used}","int(-1/(5*sin(c + d*x) - 3)^3,x)","-\frac{43\,\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{5}{4}\right)}{1024\,d}-\frac{\frac{125\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{6912}+\frac{3245\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{20736}-\frac{1225\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{6912}+\frac{55}{2304}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-\frac{20\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{3}+\frac{118\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{9}-\frac{20\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{3}+1\right)}","Not used",1,"- (43*atanh((3*tan(c/2 + (d*x)/2))/4 - 5/4))/(1024*d) - ((3245*tan(c/2 + (d*x)/2)^2)/20736 - (1225*tan(c/2 + (d*x)/2))/6912 + (125*tan(c/2 + (d*x)/2)^3)/6912 + 55/2304)/(d*((118*tan(c/2 + (d*x)/2)^2)/9 - (20*tan(c/2 + (d*x)/2))/3 - (20*tan(c/2 + (d*x)/2)^3)/3 + tan(c/2 + (d*x)/2)^4 + 1))","B"
41,1,168,140,7.117801,"\text{Not used}","int(1/(5*sin(c + d*x) - 3)^4,x)","\frac{279\,\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{5}{4}\right)}{16384\,d}-\frac{\frac{15725\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{331776}-\frac{270245\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{995328}+\frac{3047275\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{4478976}-\frac{296245\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{497664}+\frac{63425\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{331776}-\frac{7915}{331776}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+\frac{109\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{3}-\frac{1540\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{27}+\frac{109\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{3}-10\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1\right)}","Not used",1,"(279*atanh((3*tan(c/2 + (d*x)/2))/4 - 5/4))/(16384*d) - ((63425*tan(c/2 + (d*x)/2))/331776 - (296245*tan(c/2 + (d*x)/2)^2)/497664 + (3047275*tan(c/2 + (d*x)/2)^3)/4478976 - (270245*tan(c/2 + (d*x)/2)^4)/995328 + (15725*tan(c/2 + (d*x)/2)^5)/331776 - 7915/331776)/(d*((109*tan(c/2 + (d*x)/2)^2)/3 - 10*tan(c/2 + (d*x)/2) - (1540*tan(c/2 + (d*x)/2)^3)/27 + (109*tan(c/2 + (d*x)/2)^4)/3 - 10*tan(c/2 + (d*x)/2)^5 + tan(c/2 + (d*x)/2)^6 + 1))","B"
42,1,19,65,4.513621,"\text{Not used}","int(1/(5*sin(c + d*x) - 3),x)","\frac{\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{5}{4}\right)}{2\,d}","Not used",1,"atanh((3*tan(c/2 + (d*x)/2))/4 - 5/4)/(2*d)","B"
43,1,64,90,0.002074,"\text{Not used}","int(1/(5*sin(c + d*x) - 3)^2,x)","\frac{3\,\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{5}{4}\right)}{32\,d}-\frac{\frac{25\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{72}-\frac{5}{24}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2-\frac{10\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{3}+1\right)}","Not used",1,"(3*atanh((3*tan(c/2 + (d*x)/2))/4 - 5/4))/(32*d) - ((25*tan(c/2 + (d*x)/2))/72 - 5/24)/(d*(tan(c/2 + (d*x)/2)^2 - (10*tan(c/2 + (d*x)/2))/3 + 1))","B"
44,1,115,115,5.690810,"\text{Not used}","int(1/(5*sin(c + d*x) - 3)^3,x)","\frac{43\,\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{5}{4}\right)}{1024\,d}+\frac{\frac{125\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{6912}+\frac{3245\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{20736}-\frac{1225\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{6912}+\frac{55}{2304}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4-\frac{20\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{3}+\frac{118\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{9}-\frac{20\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{3}+1\right)}","Not used",1,"(43*atanh((3*tan(c/2 + (d*x)/2))/4 - 5/4))/(1024*d) + ((3245*tan(c/2 + (d*x)/2)^2)/20736 - (1225*tan(c/2 + (d*x)/2))/6912 + (125*tan(c/2 + (d*x)/2)^3)/6912 + 55/2304)/(d*((118*tan(c/2 + (d*x)/2)^2)/9 - (20*tan(c/2 + (d*x)/2))/3 - (20*tan(c/2 + (d*x)/2)^3)/3 + tan(c/2 + (d*x)/2)^4 + 1))","B"
45,1,168,140,0.002263,"\text{Not used}","int(1/(5*sin(c + d*x) - 3)^4,x)","\frac{279\,\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}-\frac{5}{4}\right)}{16384\,d}-\frac{\frac{15725\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{331776}-\frac{270245\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{995328}+\frac{3047275\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{4478976}-\frac{296245\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{497664}+\frac{63425\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{331776}-\frac{7915}{331776}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6-10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+\frac{109\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{3}-\frac{1540\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{27}+\frac{109\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{3}-10\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1\right)}","Not used",1,"(279*atanh((3*tan(c/2 + (d*x)/2))/4 - 5/4))/(16384*d) - ((63425*tan(c/2 + (d*x)/2))/331776 - (296245*tan(c/2 + (d*x)/2)^2)/497664 + (3047275*tan(c/2 + (d*x)/2)^3)/4478976 - (270245*tan(c/2 + (d*x)/2)^4)/995328 + (15725*tan(c/2 + (d*x)/2)^5)/331776 - 7915/331776)/(d*((109*tan(c/2 + (d*x)/2)^2)/3 - 10*tan(c/2 + (d*x)/2) - (1540*tan(c/2 + (d*x)/2)^3)/27 + (109*tan(c/2 + (d*x)/2)^4)/3 - 10*tan(c/2 + (d*x)/2)^5 + tan(c/2 + (d*x)/2)^6 + 1))","B"
46,1,19,63,4.526721,"\text{Not used}","int(-1/(5*sin(c + d*x) + 3),x)","\frac{\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{5}{4}\right)}{2\,d}","Not used",1,"atanh((3*tan(c/2 + (d*x)/2))/4 + 5/4)/(2*d)","B"
47,1,64,88,0.002301,"\text{Not used}","int(1/(5*sin(c + d*x) + 3)^2,x)","\frac{3\,\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{5}{4}\right)}{32\,d}-\frac{\frac{25\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{72}+\frac{5}{24}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2+\frac{10\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{3}+1\right)}","Not used",1,"(3*atanh((3*tan(c/2 + (d*x)/2))/4 + 5/4))/(32*d) - ((25*tan(c/2 + (d*x)/2))/72 + 5/24)/(d*((10*tan(c/2 + (d*x)/2))/3 + tan(c/2 + (d*x)/2)^2 + 1))","B"
48,1,116,113,5.710358,"\text{Not used}","int(-1/(5*sin(c + d*x) + 3)^3,x)","\frac{43\,\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{5}{4}\right)}{1024\,d}-\frac{-\frac{125\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{6912}+\frac{3245\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{20736}+\frac{1225\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{6912}+\frac{55}{2304}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4+\frac{20\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{3}+\frac{118\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{9}+\frac{20\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{3}+1\right)}","Not used",1,"(43*atanh((3*tan(c/2 + (d*x)/2))/4 + 5/4))/(1024*d) - ((1225*tan(c/2 + (d*x)/2))/6912 + (3245*tan(c/2 + (d*x)/2)^2)/20736 - (125*tan(c/2 + (d*x)/2)^3)/6912 + 55/2304)/(d*((20*tan(c/2 + (d*x)/2))/3 + (118*tan(c/2 + (d*x)/2)^2)/9 + (20*tan(c/2 + (d*x)/2)^3)/3 + tan(c/2 + (d*x)/2)^4 + 1))","B"
49,1,168,138,0.002236,"\text{Not used}","int(1/(5*sin(c + d*x) + 3)^4,x)","\frac{279\,\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{4}+\frac{5}{4}\right)}{16384\,d}-\frac{\frac{15725\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5}{331776}+\frac{270245\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{995328}+\frac{3047275\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{4478976}+\frac{296245\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{497664}+\frac{63425\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}{331776}+\frac{7915}{331776}}{d\,\left({\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^6+10\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^5+\frac{109\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^4}{3}+\frac{1540\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^3}{27}+\frac{109\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)}^2}{3}+10\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,x}{2}\right)+1\right)}","Not used",1,"(279*atanh((3*tan(c/2 + (d*x)/2))/4 + 5/4))/(16384*d) - ((63425*tan(c/2 + (d*x)/2))/331776 + (296245*tan(c/2 + (d*x)/2)^2)/497664 + (3047275*tan(c/2 + (d*x)/2)^3)/4478976 + (270245*tan(c/2 + (d*x)/2)^4)/995328 + (15725*tan(c/2 + (d*x)/2)^5)/331776 + 7915/331776)/(d*(10*tan(c/2 + (d*x)/2) + (109*tan(c/2 + (d*x)/2)^2)/3 + (1540*tan(c/2 + (d*x)/2)^3)/27 + (109*tan(c/2 + (d*x)/2)^4)/3 + 10*tan(c/2 + (d*x)/2)^5 + tan(c/2 + (d*x)/2)^6 + 1))","B"
50,0,-1,256,0.000000,"\text{Not used}","int((a + b*sin(c + d*x))^(7/2),x)","\int {\left(a+b\,\sin\left(c+d\,x\right)\right)}^{7/2} \,d x","Not used",1,"int((a + b*sin(c + d*x))^(7/2), x)","F"
51,0,-1,207,0.000000,"\text{Not used}","int((a + b*sin(c + d*x))^(5/2),x)","\int {\left(a+b\,\sin\left(c+d\,x\right)\right)}^{5/2} \,d x","Not used",1,"int((a + b*sin(c + d*x))^(5/2), x)","F"
52,0,-1,167,0.000000,"\text{Not used}","int((a + b*sin(c + d*x))^(3/2),x)","\int {\left(a+b\,\sin\left(c+d\,x\right)\right)}^{3/2} \,d x","Not used",1,"int((a + b*sin(c + d*x))^(3/2), x)","F"
53,1,55,62,4.579339,"\text{Not used}","int((a + b*sin(c + d*x))^(1/2),x)","\frac{2\,\mathrm{E}\left(\frac{c}{2}-\frac{\pi }{4}+\frac{d\,x}{2}\middle|\frac{2\,b}{a+b}\right)\,\sqrt{a+b\,\sin\left(c+d\,x\right)}}{d\,\sqrt{\frac{a+b\,\sin\left(c+d\,x\right)}{a+b}}}","Not used",1,"(2*ellipticE(c/2 - pi/4 + (d*x)/2, (2*b)/(a + b))*(a + b*sin(c + d*x))^(1/2))/(d*((a + b*sin(c + d*x))/(a + b))^(1/2))","B"
54,1,55,62,4.673430,"\text{Not used}","int(1/(a + b*sin(c + d*x))^(1/2),x)","-\frac{2\,\mathrm{F}\left(\frac{\pi }{4}-\frac{c}{2}-\frac{d\,x}{2}\middle|\frac{2\,b}{a+b}\right)\,\sqrt{\frac{a+b\,\sin\left(c+d\,x\right)}{a+b}}}{d\,\sqrt{a+b\,\sin\left(c+d\,x\right)}}","Not used",1,"-(2*ellipticF(pi/4 - c/2 - (d*x)/2, (2*b)/(a + b))*((a + b*sin(c + d*x))/(a + b))^(1/2))/(d*(a + b*sin(c + d*x))^(1/2))","B"
55,0,-1,111,0.000000,"\text{Not used}","int(1/(a + b*sin(c + d*x))^(3/2),x)","\int \frac{1}{{\left(a+b\,\sin\left(c+d\,x\right)\right)}^{3/2}} \,d x","Not used",1,"int(1/(a + b*sin(c + d*x))^(3/2), x)","F"
56,0,-1,231,0.000000,"\text{Not used}","int(1/(a + b*sin(c + d*x))^(5/2),x)","\int \frac{1}{{\left(a+b\,\sin\left(c+d\,x\right)\right)}^{5/2}} \,d x","Not used",1,"int(1/(a + b*sin(c + d*x))^(5/2), x)","F"
57,0,-1,292,0.000000,"\text{Not used}","int(1/(a + b*sin(c + d*x))^(7/2),x)","\int \frac{1}{{\left(a+b\,\sin\left(c+d\,x\right)\right)}^{7/2}} \,d x","Not used",1,"int(1/(a + b*sin(c + d*x))^(7/2), x)","F"
58,0,-1,109,0.000000,"\text{Not used}","int((a + b*sin(c + d*x))^(4/3),x)","\int {\left(a+b\,\sin\left(c+d\,x\right)\right)}^{4/3} \,d x","Not used",1,"int((a + b*sin(c + d*x))^(4/3), x)","F"
59,0,-1,106,0.000000,"\text{Not used}","int((a + b*sin(c + d*x))^(2/3),x)","\int {\left(a+b\,\sin\left(c+d\,x\right)\right)}^{2/3} \,d x","Not used",1,"int((a + b*sin(c + d*x))^(2/3), x)","F"
60,0,-1,106,0.000000,"\text{Not used}","int((a + b*sin(c + d*x))^(1/3),x)","\int {\left(a+b\,\sin\left(c+d\,x\right)\right)}^{1/3} \,d x","Not used",1,"int((a + b*sin(c + d*x))^(1/3), x)","F"
61,0,-1,106,0.000000,"\text{Not used}","int(1/(a + b*sin(c + d*x))^(1/3),x)","\int \frac{1}{{\left(a+b\,\sin\left(c+d\,x\right)\right)}^{1/3}} \,d x","Not used",1,"int(1/(a + b*sin(c + d*x))^(1/3), x)","F"
62,0,-1,106,0.000000,"\text{Not used}","int(1/(a + b*sin(c + d*x))^(2/3),x)","\int \frac{1}{{\left(a+b\,\sin\left(c+d\,x\right)\right)}^{2/3}} \,d x","Not used",1,"int(1/(a + b*sin(c + d*x))^(2/3), x)","F"
63,0,-1,111,0.000000,"\text{Not used}","int(1/(a + b*sin(c + d*x))^(4/3),x)","\int \frac{1}{{\left(a+b\,\sin\left(c+d\,x\right)\right)}^{4/3}} \,d x","Not used",1,"int(1/(a + b*sin(c + d*x))^(4/3), x)","F"
64,0,-1,104,0.000000,"\text{Not used}","int((a + b*sin(c + d*x))^n,x)","\int {\left(a+b\,\sin\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int((a + b*sin(c + d*x))^n, x)","F"
65,0,-1,72,0.000000,"\text{Not used}","int((4*sin(c + d*x) + 3)^n,x)","\int {\left(4\,\sin\left(c+d\,x\right)+3\right)}^n \,d x","Not used",1,"int((4*sin(c + d*x) + 3)^n, x)","F"
66,0,-1,69,0.000000,"\text{Not used}","int((3 - 4*sin(c + d*x))^n,x)","\int {\left(3-4\,\sin\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int((3 - 4*sin(c + d*x))^n, x)","F"
67,0,-1,64,0.000000,"\text{Not used}","int((3*sin(c + d*x) + 4)^n,x)","\int {\left(3\,\sin\left(c+d\,x\right)+4\right)}^n \,d x","Not used",1,"int((3*sin(c + d*x) + 4)^n, x)","F"
68,0,-1,69,0.000000,"\text{Not used}","int((4 - 3*sin(c + d*x))^n,x)","\int {\left(4-3\,\sin\left(c+d\,x\right)\right)}^n \,d x","Not used",1,"int((4 - 3*sin(c + d*x))^n, x)","F"
69,0,-1,67,0.000000,"\text{Not used}","int((4*sin(c + d*x) - 3)^n,x)","\int {\left(4\,\sin\left(c+d\,x\right)-3\right)}^n \,d x","Not used",1,"int((4*sin(c + d*x) - 3)^n, x)","F"
70,0,-1,64,0.000000,"\text{Not used}","int((- 4*sin(c + d*x) - 3)^n,x)","\int {\left(-4\,\sin\left(c+d\,x\right)-3\right)}^n \,d x","Not used",1,"int((- 4*sin(c + d*x) - 3)^n, x)","F"
71,0,-1,95,0.000000,"\text{Not used}","int((3*sin(c + d*x) - 4)^n,x)","\int {\left(3\,\sin\left(c+d\,x\right)-4\right)}^n \,d x","Not used",1,"int((3*sin(c + d*x) - 4)^n, x)","F"
72,0,-1,110,0.000000,"\text{Not used}","int((- 3*sin(c + d*x) - 4)^n,x)","\int {\left(-3\,\sin\left(c+d\,x\right)-4\right)}^n \,d x","Not used",1,"int((- 3*sin(c + d*x) - 4)^n, x)","F"