1,0,-1,129,0.000000,"\text{Not used}","int(x^5*(a + b/sin(c + d*x^2)),x)","\int x^5\,\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right) \,d x","Not used",1,"int(x^5*(a + b/sin(c + d*x^2)), x)","F"
2,0,-1,26,0.000000,"\text{Not used}","int(x^4*(a + b/sin(c + d*x^2)),x)","\int x^4\,\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right) \,d x","Not used",0,"int(x^4*(a + b/sin(c + d*x^2)), x)","F"
3,0,-1,84,0.000000,"\text{Not used}","int(x^3*(a + b/sin(c + d*x^2)),x)","\int x^3\,\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right) \,d x","Not used",1,"int(x^3*(a + b/sin(c + d*x^2)), x)","F"
4,0,-1,26,0.000000,"\text{Not used}","int(x^2*(a + b/sin(c + d*x^2)),x)","\int x^2\,\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right) \,d x","Not used",0,"int(x^2*(a + b/sin(c + d*x^2)), x)","F"
5,1,69,26,0.623774,"\text{Not used}","int(x*(a + b/sin(c + d*x^2)),x)","\frac{a\,x^2}{2}-\frac{b\,\ln\left(-b\,x\,2{}\mathrm{i}-b\,x\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,2{}\mathrm{i}\right)}{2\,d}+\frac{b\,\ln\left(b\,x\,2{}\mathrm{i}-b\,x\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,2{}\mathrm{i}\right)}{2\,d}","Not used",1,"(a*x^2)/2 - (b*log(- b*x*2i - b*x*exp(d*x^2*1i)*exp(c*1i)*2i))/(2*d) + (b*log(b*x*2i - b*x*exp(d*x^2*1i)*exp(c*1i)*2i))/(2*d)","B"
6,0,-1,22,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^2))/x,x)","\int \frac{a+\frac{b}{\sin\left(d\,x^2+c\right)}}{x} \,d x","Not used",0,"int((a + b/sin(c + d*x^2))/x, x)","F"
7,0,-1,24,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^2))/x^2,x)","\int \frac{a+\frac{b}{\sin\left(d\,x^2+c\right)}}{x^2} \,d x","Not used",0,"int((a + b/sin(c + d*x^2))/x^2, x)","F"
8,0,-1,228,0.000000,"\text{Not used}","int(x^5*(a + b/sin(c + d*x^2))^2,x)","\int x^5\,{\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right)}^2 \,d x","Not used",1,"int(x^5*(a + b/sin(c + d*x^2))^2, x)","F"
9,0,-1,21,0.000000,"\text{Not used}","int(x^4*(a + b/sin(c + d*x^2))^2,x)","\int x^4\,{\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right)}^2 \,d x","Not used",0,"int(x^4*(a + b/sin(c + d*x^2))^2, x)","F"
10,0,-1,125,0.000000,"\text{Not used}","int(x^3*(a + b/sin(c + d*x^2))^2,x)","\int x^3\,{\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right)}^2 \,d x","Not used",1,"int(x^3*(a + b/sin(c + d*x^2))^2, x)","F"
11,0,-1,21,0.000000,"\text{Not used}","int(x^2*(a + b/sin(c + d*x^2))^2,x)","\int x^2\,{\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right)}^2 \,d x","Not used",0,"int(x^2*(a + b/sin(c + d*x^2))^2, x)","F"
12,1,102,45,1.160041,"\text{Not used}","int(x*(a + b/sin(c + d*x^2))^2,x)","\frac{a^2\,x^2}{2}-\frac{b^2\,1{}\mathrm{i}}{d\,\left({\mathrm{e}}^{2{}\mathrm{i}\,d\,x^2+c\,2{}\mathrm{i}}-1\right)}-\frac{a\,b\,\ln\left(-a\,b\,x\,4{}\mathrm{i}-a\,b\,x\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,4{}\mathrm{i}\right)}{d}+\frac{a\,b\,\ln\left(a\,b\,x\,4{}\mathrm{i}-a\,b\,x\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,4{}\mathrm{i}\right)}{d}","Not used",1,"(a^2*x^2)/2 - (b^2*1i)/(d*(exp(c*2i + d*x^2*2i) - 1)) - (a*b*log(- a*b*x*4i - a*b*x*exp(d*x^2*1i)*exp(c*1i)*4i))/d + (a*b*log(a*b*x*4i - a*b*x*exp(d*x^2*1i)*exp(c*1i)*4i))/d","B"
13,0,-1,21,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^2))^2/x,x)","\int \frac{{\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right)}^2}{x} \,d x","Not used",0,"int((a + b/sin(c + d*x^2))^2/x, x)","F"
14,0,-1,21,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^2))^2/x^2,x)","\int \frac{{\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right)}^2}{x^2} \,d x","Not used",0,"int((a + b/sin(c + d*x^2))^2/x^2, x)","F"
15,1,491,90,10.321413,"\text{Not used}","int(x/sin(a + b*x^2)^7,x)","-\frac{5\,\ln\left(-\frac{x\,5{}\mathrm{i}}{8}-\frac{x\,{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x^2\,1{}\mathrm{i}}\,5{}\mathrm{i}}{8}\right)}{32\,b}+\frac{5\,\ln\left(\frac{x\,5{}\mathrm{i}}{8}-\frac{x\,{\mathrm{e}}^{a\,1{}\mathrm{i}}\,{\mathrm{e}}^{b\,x^2\,1{}\mathrm{i}}\,5{}\mathrm{i}}{8}\right)}{32\,b}+\frac{8\,{\mathrm{e}}^{3{}\mathrm{i}\,b\,x^2+a\,3{}\mathrm{i}}}{3\,b\,\left(5\,{\mathrm{e}}^{2{}\mathrm{i}\,b\,x^2+a\,2{}\mathrm{i}}-10\,{\mathrm{e}}^{4{}\mathrm{i}\,b\,x^2+a\,4{}\mathrm{i}}+10\,{\mathrm{e}}^{6{}\mathrm{i}\,b\,x^2+a\,6{}\mathrm{i}}-5\,{\mathrm{e}}^{8{}\mathrm{i}\,b\,x^2+a\,8{}\mathrm{i}}+{\mathrm{e}}^{10{}\mathrm{i}\,b\,x^2+a\,10{}\mathrm{i}}-1\right)}+\frac{{\mathrm{e}}^{1{}\mathrm{i}\,b\,x^2+a\,1{}\mathrm{i}}}{6\,b\,\left(3\,{\mathrm{e}}^{2{}\mathrm{i}\,b\,x^2+a\,2{}\mathrm{i}}-3\,{\mathrm{e}}^{4{}\mathrm{i}\,b\,x^2+a\,4{}\mathrm{i}}+{\mathrm{e}}^{6{}\mathrm{i}\,b\,x^2+a\,6{}\mathrm{i}}-1\right)}+\frac{5\,{\mathrm{e}}^{1{}\mathrm{i}\,b\,x^2+a\,1{}\mathrm{i}}}{16\,b\,\left({\mathrm{e}}^{2{}\mathrm{i}\,b\,x^2+a\,2{}\mathrm{i}}-1\right)}+\frac{16\,{\mathrm{e}}^{5{}\mathrm{i}\,b\,x^2+a\,5{}\mathrm{i}}}{3\,b\,\left(1+15\,{\mathrm{e}}^{4{}\mathrm{i}\,b\,x^2+a\,4{}\mathrm{i}}-20\,{\mathrm{e}}^{6{}\mathrm{i}\,b\,x^2+a\,6{}\mathrm{i}}+15\,{\mathrm{e}}^{8{}\mathrm{i}\,b\,x^2+a\,8{}\mathrm{i}}-6\,{\mathrm{e}}^{10{}\mathrm{i}\,b\,x^2+a\,10{}\mathrm{i}}+{\mathrm{e}}^{12{}\mathrm{i}\,b\,x^2+a\,12{}\mathrm{i}}-6\,{\mathrm{e}}^{2{}\mathrm{i}\,b\,x^2+a\,2{}\mathrm{i}}\right)}+\frac{{\mathrm{e}}^{1{}\mathrm{i}\,b\,x^2+a\,1{}\mathrm{i}}}{b\,\left(1+6\,{\mathrm{e}}^{4{}\mathrm{i}\,b\,x^2+a\,4{}\mathrm{i}}-4\,{\mathrm{e}}^{6{}\mathrm{i}\,b\,x^2+a\,6{}\mathrm{i}}+{\mathrm{e}}^{8{}\mathrm{i}\,b\,x^2+a\,8{}\mathrm{i}}-4\,{\mathrm{e}}^{2{}\mathrm{i}\,b\,x^2+a\,2{}\mathrm{i}}\right)}-\frac{5\,{\mathrm{e}}^{1{}\mathrm{i}\,b\,x^2+a\,1{}\mathrm{i}}}{24\,b\,\left(1+{\mathrm{e}}^{4{}\mathrm{i}\,b\,x^2+a\,4{}\mathrm{i}}-2\,{\mathrm{e}}^{2{}\mathrm{i}\,b\,x^2+a\,2{}\mathrm{i}}\right)}","Not used",1,"(5*log((x*5i)/8 - (x*exp(a*1i)*exp(b*x^2*1i)*5i)/8))/(32*b) - (5*log(- (x*5i)/8 - (x*exp(a*1i)*exp(b*x^2*1i)*5i)/8))/(32*b) + (8*exp(a*3i + b*x^2*3i))/(3*b*(5*exp(a*2i + b*x^2*2i) - 10*exp(a*4i + b*x^2*4i) + 10*exp(a*6i + b*x^2*6i) - 5*exp(a*8i + b*x^2*8i) + exp(a*10i + b*x^2*10i) - 1)) + exp(a*1i + b*x^2*1i)/(6*b*(3*exp(a*2i + b*x^2*2i) - 3*exp(a*4i + b*x^2*4i) + exp(a*6i + b*x^2*6i) - 1)) + (5*exp(a*1i + b*x^2*1i))/(16*b*(exp(a*2i + b*x^2*2i) - 1)) + (16*exp(a*5i + b*x^2*5i))/(3*b*(15*exp(a*4i + b*x^2*4i) - 6*exp(a*2i + b*x^2*2i) - 20*exp(a*6i + b*x^2*6i) + 15*exp(a*8i + b*x^2*8i) - 6*exp(a*10i + b*x^2*10i) + exp(a*12i + b*x^2*12i) + 1)) + exp(a*1i + b*x^2*1i)/(b*(6*exp(a*4i + b*x^2*4i) - 4*exp(a*2i + b*x^2*2i) - 4*exp(a*6i + b*x^2*6i) + exp(a*8i + b*x^2*8i) + 1)) - (5*exp(a*1i + b*x^2*1i))/(24*b*(exp(a*4i + b*x^2*4i) - 2*exp(a*2i + b*x^2*2i) + 1))","B"
16,0,-1,396,0.000000,"\text{Not used}","int(x^5/(a + b/sin(c + d*x^2)),x)","\int \frac{x^5}{a+\frac{b}{\sin\left(d\,x^2+c\right)}} \,d x","Not used",1,"int(x^5/(a + b/sin(c + d*x^2)), x)","F"
17,0,-1,21,0.000000,"\text{Not used}","int(x^4/(a + b/sin(c + d*x^2)),x)","\int \frac{x^4}{a+\frac{b}{\sin\left(d\,x^2+c\right)}} \,d x","Not used",0,"int(x^4/(a + b/sin(c + d*x^2)), x)","F"
18,0,-1,271,0.000000,"\text{Not used}","int(x^3/(a + b/sin(c + d*x^2)),x)","\int \frac{x^3}{a+\frac{b}{\sin\left(d\,x^2+c\right)}} \,d x","Not used",1,"int(x^3/(a + b/sin(c + d*x^2)), x)","F"
19,0,-1,21,0.000000,"\text{Not used}","int(x^2/(a + b/sin(c + d*x^2)),x)","\int \frac{x^2}{a+\frac{b}{\sin\left(d\,x^2+c\right)}} \,d x","Not used",0,"int(x^2/(a + b/sin(c + d*x^2)), x)","F"
20,1,163,63,1.680568,"\text{Not used}","int(x/(a + b/sin(c + d*x^2)),x)","\frac{x^2}{2\,a}-\frac{b\,\ln\left(b\,x\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,2{}\mathrm{i}-\frac{2\,b\,x\,\left(a\,1{}\mathrm{i}+b\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\right)}{\sqrt{a+b}\,\sqrt{a-b}}\right)}{2\,a\,d\,\sqrt{a+b}\,\sqrt{a-b}}+\frac{b\,\ln\left(b\,x\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,2{}\mathrm{i}+\frac{2\,b\,x\,\left(a\,1{}\mathrm{i}+b\,{\mathrm{e}}^{d\,x^2\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\right)}{\sqrt{a+b}\,\sqrt{a-b}}\right)}{2\,a\,d\,\sqrt{a+b}\,\sqrt{a-b}}","Not used",1,"x^2/(2*a) - (b*log(b*x*exp(d*x^2*1i)*exp(c*1i)*2i - (2*b*x*(a*1i + b*exp(d*x^2*1i)*exp(c*1i)))/((a + b)^(1/2)*(a - b)^(1/2))))/(2*a*d*(a + b)^(1/2)*(a - b)^(1/2)) + (b*log(b*x*exp(d*x^2*1i)*exp(c*1i)*2i + (2*b*x*(a*1i + b*exp(d*x^2*1i)*exp(c*1i)))/((a + b)^(1/2)*(a - b)^(1/2))))/(2*a*d*(a + b)^(1/2)*(a - b)^(1/2))","B"
21,0,-1,21,0.000000,"\text{Not used}","int(1/(x*(a + b/sin(c + d*x^2))),x)","\int \frac{1}{x\,\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right)} \,d x","Not used",0,"int(1/(x*(a + b/sin(c + d*x^2))), x)","F"
22,0,-1,24,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^2))/x^2,x)","\int \frac{a+\frac{b}{\sin\left(d\,x^2+c\right)}}{x^2} \,d x","Not used",0,"int((a + b/sin(c + d*x^2))/x^2, x)","F"
23,0,-1,1124,0.000000,"\text{Not used}","int(x^5/(a + b/sin(c + d*x^2))^2,x)","\int \frac{x^5}{{\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",1,"int(x^5/(a + b/sin(c + d*x^2))^2, x)","F"
24,0,-1,21,0.000000,"\text{Not used}","int(x^4/(a + b/sin(c + d*x^2))^2,x)","\int \frac{x^4}{{\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(x^4/(a + b/sin(c + d*x^2))^2, x)","F"
25,0,-1,616,0.000000,"\text{Not used}","int(x^3/(a + b/sin(c + d*x^2))^2,x)","\int \frac{x^3}{{\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",1,"int(x^3/(a + b/sin(c + d*x^2))^2, x)","F"
26,0,-1,21,0.000000,"\text{Not used}","int(x^2/(a + b/sin(c + d*x^2))^2,x)","\int \frac{x^2}{{\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(x^2/(a + b/sin(c + d*x^2))^2, x)","F"
27,1,2755,120,5.671652,"\text{Not used}","int(x/(a + b/sin(c + d*x^2))^2,x)","-\frac{\mathrm{atan}\left(\frac{8\,a^3\,b^3\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)}{\frac{8\,a^3\,b^9}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{24\,a^5\,b^7}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{16\,a^7\,b^5}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{8\,a^9\,b^3}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{8\,a^{11}\,b}{a^6-2\,a^4\,b^2+a^2\,b^4}}-\frac{8\,a\,b^5\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)}{\frac{8\,a^3\,b^9}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{24\,a^5\,b^7}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{16\,a^7\,b^5}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{8\,a^9\,b^3}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{8\,a^{11}\,b}{a^6-2\,a^4\,b^2+a^2\,b^4}}+\frac{8\,a^5\,b\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)}{\frac{8\,a^3\,b^9}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{24\,a^5\,b^7}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{16\,a^7\,b^5}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{8\,a^9\,b^3}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{8\,a^{11}\,b}{a^6-2\,a^4\,b^2+a^2\,b^4}}\right)}{a^2\,d}-\frac{\frac{b^2}{a\,\left(a^2-b^2\right)}+\frac{b\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)}{a^2-b^2}}{d\,\left(b\,{\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)}^2+2\,a\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)+b\right)}-\frac{b\,\mathrm{atan}\left(\frac{\frac{b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{8\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)\,\left(-2\,a^7\,b+9\,a^5\,b^3-8\,a^3\,b^5+2\,a\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}-\frac{4\,\left(2\,a^5\,b^2-4\,a^3\,b^4+2\,a\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{4\,\left(4\,a^8\,b-4\,a^6\,b^3\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{8\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)\,\left(8\,a^8\,b^2-12\,a^6\,b^4+4\,a^4\,b^6\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}-\frac{b\,\left(\frac{4\,\left(8\,a^9\,b^2-16\,a^7\,b^4+8\,a^5\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{8\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)\,\left(12\,a^{11}\,b-32\,a^9\,b^3+28\,a^7\,b^5-8\,a^5\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}\right)\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}}{2\,\left(a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6\right)}\right)}{2\,\left(a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6\right)}\right)\,1{}\mathrm{i}}{2\,\left(a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6\right)}-\frac{b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{4\,\left(2\,a^5\,b^2-4\,a^3\,b^4+2\,a\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{8\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)\,\left(-2\,a^7\,b+9\,a^5\,b^3-8\,a^3\,b^5+2\,a\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}+\frac{b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{4\,\left(4\,a^8\,b-4\,a^6\,b^3\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{8\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)\,\left(8\,a^8\,b^2-12\,a^6\,b^4+4\,a^4\,b^6\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}+\frac{b\,\left(\frac{4\,\left(8\,a^9\,b^2-16\,a^7\,b^4+8\,a^5\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{8\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)\,\left(12\,a^{11}\,b-32\,a^9\,b^3+28\,a^7\,b^5-8\,a^5\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}\right)\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}}{2\,\left(a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6\right)}\right)}{2\,\left(a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6\right)}\right)\,1{}\mathrm{i}}{2\,\left(a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6\right)}}{\frac{8\,\left(b^5-2\,a^2\,b^3\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{16\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)\,\left(2\,a^4\,b^2-3\,a^2\,b^4+b^6\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}+\frac{b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{8\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)\,\left(-2\,a^7\,b+9\,a^5\,b^3-8\,a^3\,b^5+2\,a\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}-\frac{4\,\left(2\,a^5\,b^2-4\,a^3\,b^4+2\,a\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{4\,\left(4\,a^8\,b-4\,a^6\,b^3\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{8\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)\,\left(8\,a^8\,b^2-12\,a^6\,b^4+4\,a^4\,b^6\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}-\frac{b\,\left(\frac{4\,\left(8\,a^9\,b^2-16\,a^7\,b^4+8\,a^5\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{8\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)\,\left(12\,a^{11}\,b-32\,a^9\,b^3+28\,a^7\,b^5-8\,a^5\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}\right)\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}}{2\,\left(a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6\right)}\right)}{2\,\left(a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6\right)}\right)}{2\,\left(a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6\right)}+\frac{b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{4\,\left(2\,a^5\,b^2-4\,a^3\,b^4+2\,a\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{8\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)\,\left(-2\,a^7\,b+9\,a^5\,b^3-8\,a^3\,b^5+2\,a\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}+\frac{b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{4\,\left(4\,a^8\,b-4\,a^6\,b^3\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{8\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)\,\left(8\,a^8\,b^2-12\,a^6\,b^4+4\,a^4\,b^6\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}+\frac{b\,\left(\frac{4\,\left(8\,a^9\,b^2-16\,a^7\,b^4+8\,a^5\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{8\,\mathrm{tan}\left(\frac{d\,x^2}{2}+\frac{c}{2}\right)\,\left(12\,a^{11}\,b-32\,a^9\,b^3+28\,a^7\,b^5-8\,a^5\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}\right)\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}}{2\,\left(a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6\right)}\right)}{2\,\left(a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6\right)}\right)}{2\,\left(a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6\right)}}\right)\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,1{}\mathrm{i}}{d\,\left(a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6\right)}","Not used",1,"- atan((8*a^3*b^3*tan(c/2 + (d*x^2)/2))/((8*a^3*b^9)/(a^6 + a^2*b^4 - 2*a^4*b^2) - (24*a^5*b^7)/(a^6 + a^2*b^4 - 2*a^4*b^2) + (16*a^7*b^5)/(a^6 + a^2*b^4 - 2*a^4*b^2) + (8*a^9*b^3)/(a^6 + a^2*b^4 - 2*a^4*b^2) - (8*a^11*b)/(a^6 + a^2*b^4 - 2*a^4*b^2)) - (8*a*b^5*tan(c/2 + (d*x^2)/2))/((8*a^3*b^9)/(a^6 + a^2*b^4 - 2*a^4*b^2) - (24*a^5*b^7)/(a^6 + a^2*b^4 - 2*a^4*b^2) + (16*a^7*b^5)/(a^6 + a^2*b^4 - 2*a^4*b^2) + (8*a^9*b^3)/(a^6 + a^2*b^4 - 2*a^4*b^2) - (8*a^11*b)/(a^6 + a^2*b^4 - 2*a^4*b^2)) + (8*a^5*b*tan(c/2 + (d*x^2)/2))/((8*a^3*b^9)/(a^6 + a^2*b^4 - 2*a^4*b^2) - (24*a^5*b^7)/(a^6 + a^2*b^4 - 2*a^4*b^2) + (16*a^7*b^5)/(a^6 + a^2*b^4 - 2*a^4*b^2) + (8*a^9*b^3)/(a^6 + a^2*b^4 - 2*a^4*b^2) - (8*a^11*b)/(a^6 + a^2*b^4 - 2*a^4*b^2)))/(a^2*d) - (b^2/(a*(a^2 - b^2)) + (b*tan(c/2 + (d*x^2)/2))/(a^2 - b^2))/(d*(b + b*tan(c/2 + (d*x^2)/2)^2 + 2*a*tan(c/2 + (d*x^2)/2))) - (b*atan(((b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((8*tan(c/2 + (d*x^2)/2)*(2*a*b^7 - 2*a^7*b - 8*a^3*b^5 + 9*a^5*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2) - (4*(2*a*b^6 - 4*a^3*b^4 + 2*a^5*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((4*(4*a^8*b - 4*a^6*b^3))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (8*tan(c/2 + (d*x^2)/2)*(4*a^4*b^6 - 12*a^6*b^4 + 8*a^8*b^2))/(a^7 + a^3*b^4 - 2*a^5*b^2) - (b*((4*(8*a^5*b^6 - 16*a^7*b^4 + 8*a^9*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (8*tan(c/2 + (d*x^2)/2)*(12*a^11*b - 8*a^5*b^7 + 28*a^7*b^5 - 32*a^9*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2))*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2))/(2*(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2))))/(2*(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2)))*1i)/(2*(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2)) - (b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((4*(2*a*b^6 - 4*a^3*b^4 + 2*a^5*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) - (8*tan(c/2 + (d*x^2)/2)*(2*a*b^7 - 2*a^7*b - 8*a^3*b^5 + 9*a^5*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2) + (b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((4*(4*a^8*b - 4*a^6*b^3))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (8*tan(c/2 + (d*x^2)/2)*(4*a^4*b^6 - 12*a^6*b^4 + 8*a^8*b^2))/(a^7 + a^3*b^4 - 2*a^5*b^2) + (b*((4*(8*a^5*b^6 - 16*a^7*b^4 + 8*a^9*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (8*tan(c/2 + (d*x^2)/2)*(12*a^11*b - 8*a^5*b^7 + 28*a^7*b^5 - 32*a^9*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2))*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2))/(2*(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2))))/(2*(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2)))*1i)/(2*(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2)))/((8*(b^5 - 2*a^2*b^3))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (16*tan(c/2 + (d*x^2)/2)*(b^6 - 3*a^2*b^4 + 2*a^4*b^2))/(a^7 + a^3*b^4 - 2*a^5*b^2) + (b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((8*tan(c/2 + (d*x^2)/2)*(2*a*b^7 - 2*a^7*b - 8*a^3*b^5 + 9*a^5*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2) - (4*(2*a*b^6 - 4*a^3*b^4 + 2*a^5*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((4*(4*a^8*b - 4*a^6*b^3))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (8*tan(c/2 + (d*x^2)/2)*(4*a^4*b^6 - 12*a^6*b^4 + 8*a^8*b^2))/(a^7 + a^3*b^4 - 2*a^5*b^2) - (b*((4*(8*a^5*b^6 - 16*a^7*b^4 + 8*a^9*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (8*tan(c/2 + (d*x^2)/2)*(12*a^11*b - 8*a^5*b^7 + 28*a^7*b^5 - 32*a^9*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2))*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2))/(2*(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2))))/(2*(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2))))/(2*(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2)) + (b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((4*(2*a*b^6 - 4*a^3*b^4 + 2*a^5*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) - (8*tan(c/2 + (d*x^2)/2)*(2*a*b^7 - 2*a^7*b - 8*a^3*b^5 + 9*a^5*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2) + (b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((4*(4*a^8*b - 4*a^6*b^3))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (8*tan(c/2 + (d*x^2)/2)*(4*a^4*b^6 - 12*a^6*b^4 + 8*a^8*b^2))/(a^7 + a^3*b^4 - 2*a^5*b^2) + (b*((4*(8*a^5*b^6 - 16*a^7*b^4 + 8*a^9*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (8*tan(c/2 + (d*x^2)/2)*(12*a^11*b - 8*a^5*b^7 + 28*a^7*b^5 - 32*a^9*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2))*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2))/(2*(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2))))/(2*(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2))))/(2*(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2))))*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*1i)/(d*(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2))","B"
28,0,-1,21,0.000000,"\text{Not used}","int(1/(x*(a + b/sin(c + d*x^2))^2),x)","\int \frac{1}{x\,{\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(1/(x*(a + b/sin(c + d*x^2))^2), x)","F"
29,0,-1,21,0.000000,"\text{Not used}","int(1/(x^2*(a + b/sin(c + d*x^2))^2),x)","\int \frac{1}{x^2\,{\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^2*(a + b/sin(c + d*x^2))^2), x)","F"
30,0,-1,21,0.000000,"\text{Not used}","int(1/(x^3*(a + b/sin(c + d*x^2))^2),x)","\int \frac{1}{x^3\,{\left(a+\frac{b}{\sin\left(d\,x^2+c\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^3*(a + b/sin(c + d*x^2))^2), x)","F"
31,0,-1,432,0.000000,"\text{Not used}","int(x^3*(a + b/sin(c + d*x^(1/2))),x)","\int x^3\,\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x^3*(a + b/sin(c + d*x^(1/2))), x)","F"
32,0,-1,316,0.000000,"\text{Not used}","int(x^2*(a + b/sin(c + d*x^(1/2))),x)","\int x^2\,\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x^2*(a + b/sin(c + d*x^(1/2))), x)","F"
33,0,-1,200,0.000000,"\text{Not used}","int(x*(a + b/sin(c + d*x^(1/2))),x)","\int x\,\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x*(a + b/sin(c + d*x^(1/2))), x)","F"
34,0,-1,24,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^(1/2)))/x,x)","\int \frac{a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}}{x} \,d x","Not used",0,"int((a + b/sin(c + d*x^(1/2)))/x, x)","F"
35,0,-1,26,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^(1/2)))/x^2,x)","\int \frac{a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}}{x^2} \,d x","Not used",0,"int((a + b/sin(c + d*x^(1/2)))/x^2, x)","F"
36,0,-1,695,0.000000,"\text{Not used}","int(x^3*(a + b/sin(c + d*x^(1/2)))^2,x)","\int x^3\,{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x^3*(a + b/sin(c + d*x^(1/2)))^2, x)","F"
37,0,-1,513,0.000000,"\text{Not used}","int(x^2*(a + b/sin(c + d*x^(1/2)))^2,x)","\int x^2\,{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x^2*(a + b/sin(c + d*x^(1/2)))^2, x)","F"
38,0,-1,333,0.000000,"\text{Not used}","int(x*(a + b/sin(c + d*x^(1/2)))^2,x)","\int x\,{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x*(a + b/sin(c + d*x^(1/2)))^2, x)","F"
39,0,-1,23,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^(1/2)))^2/x,x)","\int \frac{{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2}{x} \,d x","Not used",0,"int((a + b/sin(c + d*x^(1/2)))^2/x, x)","F"
40,0,-1,23,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^(1/2)))^2/x^2,x)","\int \frac{{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2}{x^2} \,d x","Not used",0,"int((a + b/sin(c + d*x^(1/2)))^2/x^2, x)","F"
41,0,-1,1075,0.000000,"\text{Not used}","int(x^3/(a + b/sin(c + d*x^(1/2))),x)","\int \frac{x^3}{a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x^3/(a + b/sin(c + d*x^(1/2))), x)","F"
42,0,-1,807,0.000000,"\text{Not used}","int(x^2/(a + b/sin(c + d*x^(1/2))),x)","\int \frac{x^2}{a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x^2/(a + b/sin(c + d*x^(1/2))), x)","F"
43,0,-1,539,0.000000,"\text{Not used}","int(x/(a + b/sin(c + d*x^(1/2))),x)","\int \frac{x}{a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x/(a + b/sin(c + d*x^(1/2))), x)","F"
44,0,-1,23,0.000000,"\text{Not used}","int(1/(x*(a + b/sin(c + d*x^(1/2)))),x)","\int \frac{1}{x\,\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)} \,d x","Not used",0,"int(1/(x*(a + b/sin(c + d*x^(1/2)))), x)","F"
45,0,-1,26,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^(1/2)))/x^2,x)","\int \frac{a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}}{x^2} \,d x","Not used",0,"int((a + b/sin(c + d*x^(1/2)))/x^2, x)","F"
46,0,-1,3205,0.000000,"\text{Not used}","int(x^3/(a + b/sin(c + d*x^(1/2)))^2,x)","\int \frac{x^3}{{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x^3/(a + b/sin(c + d*x^(1/2)))^2, x)","F"
47,0,-1,2385,0.000000,"\text{Not used}","int(x^2/(a + b/sin(c + d*x^(1/2)))^2,x)","\int \frac{x^2}{{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x^2/(a + b/sin(c + d*x^(1/2)))^2, x)","F"
48,0,-1,1565,0.000000,"\text{Not used}","int(x/(a + b/sin(c + d*x^(1/2)))^2,x)","\int \frac{x}{{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x/(a + b/sin(c + d*x^(1/2)))^2, x)","F"
49,0,-1,23,0.000000,"\text{Not used}","int(1/(x*(a + b/sin(c + d*x^(1/2)))^2),x)","\int \frac{1}{x\,{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",0,"int(1/(x*(a + b/sin(c + d*x^(1/2)))^2), x)","F"
50,0,-1,23,0.000000,"\text{Not used}","int(1/(x^2*(a + b/sin(c + d*x^(1/2)))^2),x)","\int \frac{1}{x^2\,{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^2*(a + b/sin(c + d*x^(1/2)))^2), x)","F"
51,0,-1,258,0.000000,"\text{Not used}","int(x^(3/2)*(a + b/sin(c + d*x^(1/2))),x)","\int x^{3/2}\,\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x^(3/2)*(a + b/sin(c + d*x^(1/2))), x)","F"
52,0,-1,144,0.000000,"\text{Not used}","int(x^(1/2)*(a + b/sin(c + d*x^(1/2))),x)","\int \sqrt{x}\,\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right) \,d x","Not used",1,"int(x^(1/2)*(a + b/sin(c + d*x^(1/2))), x)","F"
53,1,73,26,2.471316,"\text{Not used}","int((a + b/sin(c + d*x^(1/2)))/x^(1/2),x)","2\,a\,\sqrt{x}+\frac{2\,b\,\ln\left(\frac{b\,2{}\mathrm{i}-b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,2{}\mathrm{i}}{\sqrt{x}}\right)}{d}-\frac{2\,b\,\ln\left(\frac{b\,2{}\mathrm{i}+b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,2{}\mathrm{i}}{\sqrt{x}}\right)}{d}","Not used",1,"2*a*x^(1/2) + (2*b*log((b*2i - b*exp(d*x^(1/2)*1i)*exp(c*1i)*2i)/x^(1/2)))/d - (2*b*log((b*2i + b*exp(d*x^(1/2)*1i)*exp(c*1i)*2i)/x^(1/2)))/d","B"
54,0,-1,30,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^(1/2)))/x^(3/2),x)","\int \frac{a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}}{x^{3/2}} \,d x","Not used",0,"int((a + b/sin(c + d*x^(1/2)))/x^(3/2), x)","F"
55,0,-1,32,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^(1/2)))/x^(5/2),x)","\int \frac{a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}}{x^{5/2}} \,d x","Not used",0,"int((a + b/sin(c + d*x^(1/2)))/x^(5/2), x)","F"
56,0,-1,421,0.000000,"\text{Not used}","int(x^(3/2)*(a + b/sin(c + d*x^(1/2)))^2,x)","\int x^{3/2}\,{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x^(3/2)*(a + b/sin(c + d*x^(1/2)))^2, x)","F"
57,0,-1,241,0.000000,"\text{Not used}","int(x^(1/2)*(a + b/sin(c + d*x^(1/2)))^2,x)","\int \sqrt{x}\,{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2 \,d x","Not used",1,"int(x^(1/2)*(a + b/sin(c + d*x^(1/2)))^2, x)","F"
58,1,111,47,2.151639,"\text{Not used}","int((a + b/sin(c + d*x^(1/2)))^2/x^(1/2),x)","2\,a^2\,\sqrt{x}-\frac{b^2\,4{}\mathrm{i}}{d\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,\sqrt{x}\,2{}\mathrm{i}}-1\right)}-\frac{4\,a\,b\,\ln\left(-\frac{a\,b\,4{}\mathrm{i}}{\sqrt{x}}-\frac{a\,b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,4{}\mathrm{i}}{\sqrt{x}}\right)}{d}+\frac{4\,a\,b\,\ln\left(\frac{a\,b\,4{}\mathrm{i}}{\sqrt{x}}-\frac{a\,b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,4{}\mathrm{i}}{\sqrt{x}}\right)}{d}","Not used",1,"2*a^2*x^(1/2) - (b^2*4i)/(d*(exp(c*2i + d*x^(1/2)*2i) - 1)) - (4*a*b*log(- (a*b*4i)/x^(1/2) - (a*b*exp(d*x^(1/2)*1i)*exp(c*1i)*4i)/x^(1/2)))/d + (4*a*b*log((a*b*4i)/x^(1/2) - (a*b*exp(d*x^(1/2)*1i)*exp(c*1i)*4i)/x^(1/2)))/d","B"
59,0,-1,25,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^(1/2)))^2/x^(3/2),x)","\int \frac{{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2}{x^{3/2}} \,d x","Not used",0,"int((a + b/sin(c + d*x^(1/2)))^2/x^(3/2), x)","F"
60,0,-1,25,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^(1/2)))^2/x^(5/2),x)","\int \frac{{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2}{x^{5/2}} \,d x","Not used",0,"int((a + b/sin(c + d*x^(1/2)))^2/x^(5/2), x)","F"
61,1,94,24,2.325938,"\text{Not used}","int(1/(x^(1/2)*sin(x^(1/2))^3),x)","-\ln\left(-\frac{{\mathrm{e}}^{\sqrt{x}\,1{}\mathrm{i}}\,1{}\mathrm{i}}{\sqrt{x}}-\frac{1{}\mathrm{i}}{\sqrt{x}}\right)+\ln\left(-\frac{{\mathrm{e}}^{\sqrt{x}\,1{}\mathrm{i}}\,1{}\mathrm{i}}{\sqrt{x}}+\frac{1{}\mathrm{i}}{\sqrt{x}}\right)+\frac{4\,{\mathrm{e}}^{\sqrt{x}\,1{}\mathrm{i}}}{1+{\mathrm{e}}^{\sqrt{x}\,4{}\mathrm{i}}-2\,{\mathrm{e}}^{\sqrt{x}\,2{}\mathrm{i}}}+\frac{2\,{\mathrm{e}}^{\sqrt{x}\,1{}\mathrm{i}}}{{\mathrm{e}}^{\sqrt{x}\,2{}\mathrm{i}}-1}","Not used",1,"log(1i/x^(1/2) - (exp(x^(1/2)*1i)*1i)/x^(1/2)) - log(- (exp(x^(1/2)*1i)*1i)/x^(1/2) - 1i/x^(1/2)) + (4*exp(x^(1/2)*1i))/(exp(x^(1/2)*4i) - 2*exp(x^(1/2)*2i) + 1) + (2*exp(x^(1/2)*1i))/(exp(x^(1/2)*2i) - 1)","B"
62,0,-1,675,0.000000,"\text{Not used}","int(x^(3/2)/(a + b/sin(c + d*x^(1/2))),x)","\int \frac{x^{3/2}}{a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x^(3/2)/(a + b/sin(c + d*x^(1/2))), x)","F"
63,0,-1,407,0.000000,"\text{Not used}","int(x^(1/2)/(a + b/sin(c + d*x^(1/2))),x)","\int \frac{\sqrt{x}}{a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}} \,d x","Not used",1,"int(x^(1/2)/(a + b/sin(c + d*x^(1/2))), x)","F"
64,1,159,66,2.302975,"\text{Not used}","int(1/(x^(1/2)*(a + b/sin(c + d*x^(1/2)))),x)","\frac{2\,\sqrt{x}}{a}-\frac{2\,b\,\ln\left(b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,2{}\mathrm{i}-\frac{2\,b\,\left(a\,1{}\mathrm{i}+b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\right)}{\sqrt{a+b}\,\sqrt{a-b}}\right)}{a\,d\,\sqrt{a+b}\,\sqrt{a-b}}+\frac{2\,b\,\ln\left(b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,2{}\mathrm{i}+\frac{2\,b\,\left(a\,1{}\mathrm{i}+b\,{\mathrm{e}}^{d\,\sqrt{x}\,1{}\mathrm{i}}\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\right)}{\sqrt{a+b}\,\sqrt{a-b}}\right)}{a\,d\,\sqrt{a+b}\,\sqrt{a-b}}","Not used",1,"(2*x^(1/2))/a - (2*b*log(b*exp(d*x^(1/2)*1i)*exp(c*1i)*2i - (2*b*(a*1i + b*exp(d*x^(1/2)*1i)*exp(c*1i)))/((a + b)^(1/2)*(a - b)^(1/2))))/(a*d*(a + b)^(1/2)*(a - b)^(1/2)) + (2*b*log(b*exp(d*x^(1/2)*1i)*exp(c*1i)*2i + (2*b*(a*1i + b*exp(d*x^(1/2)*1i)*exp(c*1i)))/((a + b)^(1/2)*(a - b)^(1/2))))/(a*d*(a + b)^(1/2)*(a - b)^(1/2))","B"
65,0,-1,25,0.000000,"\text{Not used}","int(1/(x^(3/2)*(a + b/sin(c + d*x^(1/2)))),x)","\int \frac{1}{x^{3/2}\,\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)} \,d x","Not used",0,"int(1/(x^(3/2)*(a + b/sin(c + d*x^(1/2)))), x)","F"
66,0,-1,25,0.000000,"\text{Not used}","int(1/(x^(5/2)*(a + b/sin(c + d*x^(1/2)))),x)","\int \frac{1}{x^{5/2}\,\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)} \,d x","Not used",0,"int(1/(x^(5/2)*(a + b/sin(c + d*x^(1/2)))), x)","F"
67,0,-1,1977,0.000000,"\text{Not used}","int(x^(3/2)/(a + b/sin(c + d*x^(1/2)))^2,x)","\int \frac{x^{3/2}}{{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x^(3/2)/(a + b/sin(c + d*x^(1/2)))^2, x)","F"
68,0,-1,1157,0.000000,"\text{Not used}","int(x^(1/2)/(a + b/sin(c + d*x^(1/2)))^2,x)","\int \frac{\sqrt{x}}{{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",1,"int(x^(1/2)/(a + b/sin(c + d*x^(1/2)))^2, x)","F"
69,1,2737,125,5.350654,"\text{Not used}","int(1/(x^(1/2)*(a + b/sin(c + d*x^(1/2)))^2),x)","-\frac{4\,\mathrm{atan}\left(\frac{512\,a^3\,b^3\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)}{\frac{512\,a^3\,b^9}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{1536\,a^5\,b^7}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{1024\,a^7\,b^5}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{512\,a^9\,b^3}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{512\,a^{11}\,b}{a^6-2\,a^4\,b^2+a^2\,b^4}}-\frac{512\,a\,b^5\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)}{\frac{512\,a^3\,b^9}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{1536\,a^5\,b^7}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{1024\,a^7\,b^5}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{512\,a^9\,b^3}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{512\,a^{11}\,b}{a^6-2\,a^4\,b^2+a^2\,b^4}}+\frac{512\,a^5\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)}{\frac{512\,a^3\,b^9}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{1536\,a^5\,b^7}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{1024\,a^7\,b^5}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{512\,a^9\,b^3}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{512\,a^{11}\,b}{a^6-2\,a^4\,b^2+a^2\,b^4}}\right)}{a^2\,d}-\frac{\frac{4\,b^2}{a\,\left(a^2-b^2\right)}+\frac{4\,b\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)}{a^2-b^2}}{d\,\left(b\,{\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)}^2+2\,a\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)+b\right)}-\frac{b\,\mathrm{atan}\left(\frac{\frac{b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{32\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)\,\left(-8\,a^7\,b+36\,a^5\,b^3-32\,a^3\,b^5+8\,a\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}-\frac{32\,\left(4\,a^5\,b^2-8\,a^3\,b^4+4\,a\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{2\,b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{32\,\left(2\,a^8\,b-2\,a^6\,b^3\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{32\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)\,\left(8\,a^8\,b^2-12\,a^6\,b^4+4\,a^4\,b^6\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}-\frac{2\,b\,\left(\frac{32\,\left(a^9\,b^2-2\,a^7\,b^4+a^5\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{32\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)\,\left(3\,a^{11}\,b-8\,a^9\,b^3+7\,a^7\,b^5-2\,a^5\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}\right)\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}}{a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6}\right)}{a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6}\right)\,2{}\mathrm{i}}{a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6}-\frac{b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{32\,\left(4\,a^5\,b^2-8\,a^3\,b^4+4\,a\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{32\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)\,\left(-8\,a^7\,b+36\,a^5\,b^3-32\,a^3\,b^5+8\,a\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}+\frac{2\,b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{32\,\left(2\,a^8\,b-2\,a^6\,b^3\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{32\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)\,\left(8\,a^8\,b^2-12\,a^6\,b^4+4\,a^4\,b^6\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}+\frac{2\,b\,\left(\frac{32\,\left(a^9\,b^2-2\,a^7\,b^4+a^5\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{32\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)\,\left(3\,a^{11}\,b-8\,a^9\,b^3+7\,a^7\,b^5-2\,a^5\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}\right)\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}}{a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6}\right)}{a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6}\right)\,2{}\mathrm{i}}{a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6}}{\frac{64\,\left(8\,b^5-16\,a^2\,b^3\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{64\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)\,\left(32\,a^4\,b^2-48\,a^2\,b^4+16\,b^6\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}+\frac{2\,b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{32\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)\,\left(-8\,a^7\,b+36\,a^5\,b^3-32\,a^3\,b^5+8\,a\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}-\frac{32\,\left(4\,a^5\,b^2-8\,a^3\,b^4+4\,a\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{2\,b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{32\,\left(2\,a^8\,b-2\,a^6\,b^3\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{32\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)\,\left(8\,a^8\,b^2-12\,a^6\,b^4+4\,a^4\,b^6\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}-\frac{2\,b\,\left(\frac{32\,\left(a^9\,b^2-2\,a^7\,b^4+a^5\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{32\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)\,\left(3\,a^{11}\,b-8\,a^9\,b^3+7\,a^7\,b^5-2\,a^5\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}\right)\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}}{a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6}\right)}{a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6}\right)}{a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6}+\frac{2\,b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{32\,\left(4\,a^5\,b^2-8\,a^3\,b^4+4\,a\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}-\frac{32\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)\,\left(-8\,a^7\,b+36\,a^5\,b^3-32\,a^3\,b^5+8\,a\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}+\frac{2\,b\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,\left(\frac{32\,\left(2\,a^8\,b-2\,a^6\,b^3\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{32\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)\,\left(8\,a^8\,b^2-12\,a^6\,b^4+4\,a^4\,b^6\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}+\frac{2\,b\,\left(\frac{32\,\left(a^9\,b^2-2\,a^7\,b^4+a^5\,b^6\right)}{a^6-2\,a^4\,b^2+a^2\,b^4}+\frac{32\,\mathrm{tan}\left(\frac{c}{2}+\frac{d\,\sqrt{x}}{2}\right)\,\left(3\,a^{11}\,b-8\,a^9\,b^3+7\,a^7\,b^5-2\,a^5\,b^7\right)}{a^7-2\,a^5\,b^2+a^3\,b^4}\right)\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}}{a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6}\right)}{a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6}\right)}{a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6}}\right)\,\left(2\,a^2-b^2\right)\,\sqrt{{\left(a+b\right)}^3\,{\left(a-b\right)}^3}\,4{}\mathrm{i}}{d\,\left(a^8-3\,a^6\,b^2+3\,a^4\,b^4-a^2\,b^6\right)}","Not used",1,"- (4*atan((512*a^3*b^3*tan(c/2 + (d*x^(1/2))/2))/((512*a^3*b^9)/(a^6 + a^2*b^4 - 2*a^4*b^2) - (1536*a^5*b^7)/(a^6 + a^2*b^4 - 2*a^4*b^2) + (1024*a^7*b^5)/(a^6 + a^2*b^4 - 2*a^4*b^2) + (512*a^9*b^3)/(a^6 + a^2*b^4 - 2*a^4*b^2) - (512*a^11*b)/(a^6 + a^2*b^4 - 2*a^4*b^2)) - (512*a*b^5*tan(c/2 + (d*x^(1/2))/2))/((512*a^3*b^9)/(a^6 + a^2*b^4 - 2*a^4*b^2) - (1536*a^5*b^7)/(a^6 + a^2*b^4 - 2*a^4*b^2) + (1024*a^7*b^5)/(a^6 + a^2*b^4 - 2*a^4*b^2) + (512*a^9*b^3)/(a^6 + a^2*b^4 - 2*a^4*b^2) - (512*a^11*b)/(a^6 + a^2*b^4 - 2*a^4*b^2)) + (512*a^5*b*tan(c/2 + (d*x^(1/2))/2))/((512*a^3*b^9)/(a^6 + a^2*b^4 - 2*a^4*b^2) - (1536*a^5*b^7)/(a^6 + a^2*b^4 - 2*a^4*b^2) + (1024*a^7*b^5)/(a^6 + a^2*b^4 - 2*a^4*b^2) + (512*a^9*b^3)/(a^6 + a^2*b^4 - 2*a^4*b^2) - (512*a^11*b)/(a^6 + a^2*b^4 - 2*a^4*b^2))))/(a^2*d) - ((4*b^2)/(a*(a^2 - b^2)) + (4*b*tan(c/2 + (d*x^(1/2))/2))/(a^2 - b^2))/(d*(b + b*tan(c/2 + (d*x^(1/2))/2)^2 + 2*a*tan(c/2 + (d*x^(1/2))/2))) - (b*atan(((b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((32*tan(c/2 + (d*x^(1/2))/2)*(8*a*b^7 - 8*a^7*b - 32*a^3*b^5 + 36*a^5*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2) - (32*(4*a*b^6 - 8*a^3*b^4 + 4*a^5*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (2*b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((32*(2*a^8*b - 2*a^6*b^3))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (32*tan(c/2 + (d*x^(1/2))/2)*(4*a^4*b^6 - 12*a^6*b^4 + 8*a^8*b^2))/(a^7 + a^3*b^4 - 2*a^5*b^2) - (2*b*((32*(a^5*b^6 - 2*a^7*b^4 + a^9*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (32*tan(c/2 + (d*x^(1/2))/2)*(3*a^11*b - 2*a^5*b^7 + 7*a^7*b^5 - 8*a^9*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2))*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2))/(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2)))/(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2))*2i)/(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2) - (b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((32*(4*a*b^6 - 8*a^3*b^4 + 4*a^5*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) - (32*tan(c/2 + (d*x^(1/2))/2)*(8*a*b^7 - 8*a^7*b - 32*a^3*b^5 + 36*a^5*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2) + (2*b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((32*(2*a^8*b - 2*a^6*b^3))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (32*tan(c/2 + (d*x^(1/2))/2)*(4*a^4*b^6 - 12*a^6*b^4 + 8*a^8*b^2))/(a^7 + a^3*b^4 - 2*a^5*b^2) + (2*b*((32*(a^5*b^6 - 2*a^7*b^4 + a^9*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (32*tan(c/2 + (d*x^(1/2))/2)*(3*a^11*b - 2*a^5*b^7 + 7*a^7*b^5 - 8*a^9*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2))*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2))/(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2)))/(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2))*2i)/(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2))/((64*(8*b^5 - 16*a^2*b^3))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (64*tan(c/2 + (d*x^(1/2))/2)*(16*b^6 - 48*a^2*b^4 + 32*a^4*b^2))/(a^7 + a^3*b^4 - 2*a^5*b^2) + (2*b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((32*tan(c/2 + (d*x^(1/2))/2)*(8*a*b^7 - 8*a^7*b - 32*a^3*b^5 + 36*a^5*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2) - (32*(4*a*b^6 - 8*a^3*b^4 + 4*a^5*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (2*b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((32*(2*a^8*b - 2*a^6*b^3))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (32*tan(c/2 + (d*x^(1/2))/2)*(4*a^4*b^6 - 12*a^6*b^4 + 8*a^8*b^2))/(a^7 + a^3*b^4 - 2*a^5*b^2) - (2*b*((32*(a^5*b^6 - 2*a^7*b^4 + a^9*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (32*tan(c/2 + (d*x^(1/2))/2)*(3*a^11*b - 2*a^5*b^7 + 7*a^7*b^5 - 8*a^9*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2))*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2))/(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2)))/(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2)))/(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2) + (2*b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((32*(4*a*b^6 - 8*a^3*b^4 + 4*a^5*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) - (32*tan(c/2 + (d*x^(1/2))/2)*(8*a*b^7 - 8*a^7*b - 32*a^3*b^5 + 36*a^5*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2) + (2*b*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*((32*(2*a^8*b - 2*a^6*b^3))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (32*tan(c/2 + (d*x^(1/2))/2)*(4*a^4*b^6 - 12*a^6*b^4 + 8*a^8*b^2))/(a^7 + a^3*b^4 - 2*a^5*b^2) + (2*b*((32*(a^5*b^6 - 2*a^7*b^4 + a^9*b^2))/(a^6 + a^2*b^4 - 2*a^4*b^2) + (32*tan(c/2 + (d*x^(1/2))/2)*(3*a^11*b - 2*a^5*b^7 + 7*a^7*b^5 - 8*a^9*b^3))/(a^7 + a^3*b^4 - 2*a^5*b^2))*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2))/(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2)))/(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2)))/(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2)))*(2*a^2 - b^2)*((a + b)^3*(a - b)^3)^(1/2)*4i)/(d*(a^8 - a^2*b^6 + 3*a^4*b^4 - 3*a^6*b^2))","B"
70,0,-1,25,0.000000,"\text{Not used}","int(1/(x^(3/2)*(a + b/sin(c + d*x^(1/2)))^2),x)","\int \frac{1}{x^{3/2}\,{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^(3/2)*(a + b/sin(c + d*x^(1/2)))^2), x)","F"
71,0,-1,25,0.000000,"\text{Not used}","int(1/(x^(5/2)*(a + b/sin(c + d*x^(1/2)))^2),x)","\int \frac{1}{x^{5/2}\,{\left(a+\frac{b}{\sin\left(c+d\,\sqrt{x}\right)}\right)}^2} \,d x","Not used",0,"int(1/(x^(5/2)*(a + b/sin(c + d*x^(1/2)))^2), x)","F"
72,0,-1,32,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^n))^p*(e*x)^m,x)","\int {\left(a+\frac{b}{\sin\left(c+d\,x^n\right)}\right)}^p\,{\left(e\,x\right)}^m \,d x","Not used",0,"int((a + b/sin(c + d*x^n))^p*(e*x)^m, x)","F"
73,1,106,45,2.158782,"\text{Not used}","int((a + b/sin(c + d*x^n))*(e*x)^(n - 1),x)","\frac{{\left(e\,x\right)}^n\,\left(a\,d\,x^n+b\,\ln\left(b\,{\left(e\,x\right)}^{n-1}\,2{}\mathrm{i}-b\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\,{\left(e\,x\right)}^{n-1}\,2{}\mathrm{i}\right)-b\,\ln\left(-b\,{\left(e\,x\right)}^{n-1}\,2{}\mathrm{i}-b\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\,{\left(e\,x\right)}^{n-1}\,2{}\mathrm{i}\right)\right)}{d\,e\,n\,x^n}","Not used",1,"((e*x)^n*(b*log(b*(e*x)^(n - 1)*2i - b*exp(c*1i)*exp(d*x^n*1i)*(e*x)^(n - 1)*2i) - b*log(- b*(e*x)^(n - 1)*2i - b*exp(c*1i)*exp(d*x^n*1i)*(e*x)^(n - 1)*2i) + a*d*x^n))/(d*e*n*x^n)","B"
74,0,-1,141,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^n))*(e*x)^(2*n - 1),x)","\int \left(a+\frac{b}{\sin\left(c+d\,x^n\right)}\right)\,{\left(e\,x\right)}^{2\,n-1} \,d x","Not used",1,"int((a + b/sin(c + d*x^n))*(e*x)^(2*n - 1), x)","F"
75,0,-1,221,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^n))*(e*x)^(3*n - 1),x)","\int \left(a+\frac{b}{\sin\left(c+d\,x^n\right)}\right)\,{\left(e\,x\right)}^{3\,n-1} \,d x","Not used",1,"int((a + b/sin(c + d*x^n))*(e*x)^(3*n - 1), x)","F"
76,1,182,80,2.171195,"\text{Not used}","int((a + b/sin(c + d*x^n))^2*(e*x)^(n - 1),x)","\frac{a^2\,x\,{\left(e\,x\right)}^{n-1}}{n}-\frac{b^2\,x\,{\left(e\,x\right)}^{n-1}\,2{}\mathrm{i}}{d\,n\,x^n\,\left({\mathrm{e}}^{c\,2{}\mathrm{i}+d\,x^n\,2{}\mathrm{i}}-1\right)}-\frac{2\,a\,b\,x\,\ln\left(-a\,b\,{\left(e\,x\right)}^{n-1}\,4{}\mathrm{i}-a\,b\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\,{\left(e\,x\right)}^{n-1}\,4{}\mathrm{i}\right)\,{\left(e\,x\right)}^{n-1}}{d\,n\,x^n}+\frac{2\,a\,b\,x\,\ln\left(a\,b\,{\left(e\,x\right)}^{n-1}\,4{}\mathrm{i}-a\,b\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\,{\left(e\,x\right)}^{n-1}\,4{}\mathrm{i}\right)\,{\left(e\,x\right)}^{n-1}}{d\,n\,x^n}","Not used",1,"(a^2*x*(e*x)^(n - 1))/n - (b^2*x*(e*x)^(n - 1)*2i)/(d*n*x^n*(exp(c*2i + d*x^n*2i) - 1)) - (2*a*b*x*log(- a*b*(e*x)^(n - 1)*4i - a*b*exp(c*1i)*exp(d*x^n*1i)*(e*x)^(n - 1)*4i)*(e*x)^(n - 1))/(d*n*x^n) + (2*a*b*x*log(a*b*(e*x)^(n - 1)*4i - a*b*exp(c*1i)*exp(d*x^n*1i)*(e*x)^(n - 1)*4i)*(e*x)^(n - 1))/(d*n*x^n)","B"
77,0,-1,214,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^n))^2*(e*x)^(2*n - 1),x)","\int {\left(a+\frac{b}{\sin\left(c+d\,x^n\right)}\right)}^2\,{\left(e\,x\right)}^{2\,n-1} \,d x","Not used",1,"int((a + b/sin(c + d*x^n))^2*(e*x)^(2*n - 1), x)","F"
78,0,-1,377,0.000000,"\text{Not used}","int((a + b/sin(c + d*x^n))^2*(e*x)^(3*n - 1),x)","\int {\left(a+\frac{b}{\sin\left(c+d\,x^n\right)}\right)}^2\,{\left(e\,x\right)}^{3\,n-1} \,d x","Not used",1,"int((a + b/sin(c + d*x^n))^2*(e*x)^(3*n - 1), x)","F"
79,1,229,85,2.311430,"\text{Not used}","int((e*x)^(n - 1)/(a + b/sin(c + d*x^n)),x)","\frac{x\,{\left(e\,x\right)}^{n-1}}{a\,n}-\frac{b\,x\,\ln\left(b\,x\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\,{\left(e\,x\right)}^{n-1}\,2{}\mathrm{i}-\frac{2\,b\,x\,{\left(e\,x\right)}^{n-1}\,\left(a\,1{}\mathrm{i}+b\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\right)}{\sqrt{a+b}\,\sqrt{a-b}}\right)\,{\left(e\,x\right)}^{n-1}}{a\,d\,n\,x^n\,\sqrt{a+b}\,\sqrt{a-b}}+\frac{b\,x\,\ln\left(b\,x\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\,{\left(e\,x\right)}^{n-1}\,2{}\mathrm{i}+\frac{2\,b\,x\,{\left(e\,x\right)}^{n-1}\,\left(a\,1{}\mathrm{i}+b\,{\mathrm{e}}^{c\,1{}\mathrm{i}}\,{\mathrm{e}}^{d\,x^n\,1{}\mathrm{i}}\right)}{\sqrt{a+b}\,\sqrt{a-b}}\right)\,{\left(e\,x\right)}^{n-1}}{a\,d\,n\,x^n\,\sqrt{a+b}\,\sqrt{a-b}}","Not used",1,"(x*(e*x)^(n - 1))/(a*n) - (b*x*log(b*x*exp(c*1i)*exp(d*x^n*1i)*(e*x)^(n - 1)*2i - (2*b*x*(e*x)^(n - 1)*(a*1i + b*exp(c*1i)*exp(d*x^n*1i)))/((a + b)^(1/2)*(a - b)^(1/2)))*(e*x)^(n - 1))/(a*d*n*x^n*(a + b)^(1/2)*(a - b)^(1/2)) + (b*x*log(b*x*exp(c*1i)*exp(d*x^n*1i)*(e*x)^(n - 1)*2i + (2*b*x*(e*x)^(n - 1)*(a*1i + b*exp(c*1i)*exp(d*x^n*1i)))/((a + b)^(1/2)*(a - b)^(1/2)))*(e*x)^(n - 1))/(a*d*n*x^n*(a + b)^(1/2)*(a - b)^(1/2))","B"
80,0,-1,338,0.000000,"\text{Not used}","int((e*x)^(2*n - 1)/(a + b/sin(c + d*x^n)),x)","\int \frac{{\left(e\,x\right)}^{2\,n-1}}{a+\frac{b}{\sin\left(c+d\,x^n\right)}} \,d x","Not used",1,"int((e*x)^(2*n - 1)/(a + b/sin(c + d*x^n)), x)","F"
81,0,-1,499,0.000000,"\text{Not used}","int((e*x)^(3*n - 1)/(a + b/sin(c + d*x^n)),x)","\int \frac{{\left(e\,x\right)}^{3\,n-1}}{a+\frac{b}{\sin\left(c+d\,x^n\right)}} \,d x","Not used",1,"int((e*x)^(3*n - 1)/(a + b/sin(c + d*x^n)), x)","F"
82,0,-1,156,0.000000,"\text{Not used}","int((e*x)^(n - 1)/(a + b/sin(c + d*x^n))^2,x)","\int \frac{{\left(e\,x\right)}^{n-1}}{{\left(a+\frac{b}{\sin\left(c+d\,x^n\right)}\right)}^2} \,d x","Not used",1,"int((e*x)^(n - 1)/(a + b/sin(c + d*x^n))^2, x)","F"
83,0,-1,778,0.000000,"\text{Not used}","int((e*x)^(2*n - 1)/(a + b/sin(c + d*x^n))^2,x)","\int \frac{{\left(e\,x\right)}^{2\,n-1}}{{\left(a+\frac{b}{\sin\left(c+d\,x^n\right)}\right)}^2} \,d x","Not used",1,"int((e*x)^(2*n - 1)/(a + b/sin(c + d*x^n))^2, x)","F"
84,0,-1,1417,0.000000,"\text{Not used}","int((e*x)^(3*n - 1)/(a + b/sin(c + d*x^n))^2,x)","\int \frac{{\left(e\,x\right)}^{3\,n-1}}{{\left(a+\frac{b}{\sin\left(c+d\,x^n\right)}\right)}^2} \,d x","Not used",1,"int((e*x)^(3*n - 1)/(a + b/sin(c + d*x^n))^2, x)","F"