1,0,-1,453,0.000000,"\text{Not used}","int(((A + B*x^2)*(d + e*x^2)^3)/(a + c*x^4)^(1/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x^2+d\right)}^3}{\sqrt{c\,x^4+a}} \,d x","Not used",1,"int(((A + B*x^2)*(d + e*x^2)^3)/(a + c*x^4)^(1/2), x)","F"
2,0,-1,367,0.000000,"\text{Not used}","int(((A + B*x^2)*(d + e*x^2)^2)/(a + c*x^4)^(1/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x^2+d\right)}^2}{\sqrt{c\,x^4+a}} \,d x","Not used",1,"int(((A + B*x^2)*(d + e*x^2)^2)/(a + c*x^4)^(1/2), x)","F"
3,0,-1,277,0.000000,"\text{Not used}","int(((A + B*x^2)*(d + e*x^2))/(a + c*x^4)^(1/2),x)","\int \frac{\left(B\,x^2+A\right)\,\left(e\,x^2+d\right)}{\sqrt{c\,x^4+a}} \,d x","Not used",1,"int(((A + B*x^2)*(d + e*x^2))/(a + c*x^4)^(1/2), x)","F"
4,0,-1,226,0.000000,"\text{Not used}","int((A + B*x^2)/(a + c*x^4)^(1/2),x)","\int \frac{B\,x^2+A}{\sqrt{c\,x^4+a}} \,d x","Not used",1,"int((A + B*x^2)/(a + c*x^4)^(1/2), x)","F"
5,0,-1,369,0.000000,"\text{Not used}","int((A + B*x^2)/((a + c*x^4)^(1/2)*(d + e*x^2)),x)","\int \frac{B\,x^2+A}{\sqrt{c\,x^4+a}\,\left(e\,x^2+d\right)} \,d x","Not used",1,"int((A + B*x^2)/((a + c*x^4)^(1/2)*(d + e*x^2)), x)","F"
6,0,-1,641,0.000000,"\text{Not used}","int((A + B*x^2)/((a + c*x^4)^(1/2)*(d + e*x^2)^2),x)","\int \frac{B\,x^2+A}{\sqrt{c\,x^4+a}\,{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((A + B*x^2)/((a + c*x^4)^(1/2)*(d + e*x^2)^2), x)","F"
7,0,-1,875,0.000000,"\text{Not used}","int((A + B*x^2)/((a + c*x^4)^(1/2)*(d + e*x^2)^3),x)","\int \frac{B\,x^2+A}{\sqrt{c\,x^4+a}\,{\left(e\,x^2+d\right)}^3} \,d x","Not used",1,"int((A + B*x^2)/((a + c*x^4)^(1/2)*(d + e*x^2)^3), x)","F"
8,0,-1,912,0.000000,"\text{Not used}","int(((A + B*x^2)*(d + e*x^2)^3)/(a + c*x^4)^(3/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x^2+d\right)}^3}{{\left(c\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x^2)*(d + e*x^2)^3)/(a + c*x^4)^(3/2), x)","F"
9,0,-1,694,0.000000,"\text{Not used}","int(((A + B*x^2)*(d + e*x^2)^2)/(a + c*x^4)^(3/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x^2+d\right)}^2}{{\left(c\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x^2)*(d + e*x^2)^2)/(a + c*x^4)^(3/2), x)","F"
10,0,-1,395,0.000000,"\text{Not used}","int(((A + B*x^2)*(d + e*x^2))/(a + c*x^4)^(3/2),x)","\int \frac{\left(B\,x^2+A\right)\,\left(e\,x^2+d\right)}{{\left(c\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x^2)*(d + e*x^2))/(a + c*x^4)^(3/2), x)","F"
11,0,-1,262,0.000000,"\text{Not used}","int((A + B*x^2)/(a + c*x^4)^(3/2),x)","\int \frac{B\,x^2+A}{{\left(c\,x^4+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x^2)/(a + c*x^4)^(3/2), x)","F"
12,0,-1,732,0.000000,"\text{Not used}","int((A + B*x^2)/((a + c*x^4)^(3/2)*(d + e*x^2)),x)","\int \frac{B\,x^2+A}{{\left(c\,x^4+a\right)}^{3/2}\,\left(e\,x^2+d\right)} \,d x","Not used",1,"int((A + B*x^2)/((a + c*x^4)^(3/2)*(d + e*x^2)), x)","F"
13,0,-1,1494,0.000000,"\text{Not used}","int((A + B*x^2)/((a + c*x^4)^(3/2)*(d + e*x^2)^2),x)","\int \frac{B\,x^2+A}{{\left(c\,x^4+a\right)}^{3/2}\,{\left(e\,x^2+d\right)}^2} \,d x","Not used",1,"int((A + B*x^2)/((a + c*x^4)^(3/2)*(d + e*x^2)^2), x)","F"
14,0,-1,2452,0.000000,"\text{Not used}","int((A + B*x^2)/((a + c*x^4)^(3/2)*(d + e*x^2)^3),x)","\int \frac{B\,x^2+A}{{\left(c\,x^4+a\right)}^{3/2}\,{\left(e\,x^2+d\right)}^3} \,d x","Not used",1,"int((A + B*x^2)/((a + c*x^4)^(3/2)*(d + e*x^2)^3), x)","F"
15,0,-1,169,0.000000,"\text{Not used}","int(((A + B*x^2)*(d + e*x^2)^q)/(a + c*x^4),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x^2+d\right)}^q}{c\,x^4+a} \,d x","Not used",1,"int(((A + B*x^2)*(d + e*x^2)^q)/(a + c*x^4), x)","F"
16,0,-1,48,0.000000,"\text{Not used}","int((x^2 + 2)/((x^2 + 1)*(3*x^2 + x^4 + 2)^(1/2)),x)","\int \frac{x^2+2}{\left(x^2+1\right)\,\sqrt{x^4+3\,x^2+2}} \,d x","Not used",1,"int((x^2 + 2)/((x^2 + 1)*(3*x^2 + x^4 + 2)^(1/2)), x)","F"
17,0,-1,755,0.000000,"\text{Not used}","int(((A + B*x^2)*(d + e*x^2)^3)/(a + b*x^2 + c*x^4)^(1/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x^2+d\right)}^3}{\sqrt{c\,x^4+b\,x^2+a}} \,d x","Not used",1,"int(((A + B*x^2)*(d + e*x^2)^3)/(a + b*x^2 + c*x^4)^(1/2), x)","F"
18,0,-1,528,0.000000,"\text{Not used}","int(((A + B*x^2)*(d + e*x^2)^2)/(a + b*x^2 + c*x^4)^(1/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x^2+d\right)}^2}{\sqrt{c\,x^4+b\,x^2+a}} \,d x","Not used",1,"int(((A + B*x^2)*(d + e*x^2)^2)/(a + b*x^2 + c*x^4)^(1/2), x)","F"
19,0,-1,368,0.000000,"\text{Not used}","int(((A + B*x^2)*(d + e*x^2))/(a + b*x^2 + c*x^4)^(1/2),x)","\int \frac{\left(B\,x^2+A\right)\,\left(e\,x^2+d\right)}{\sqrt{c\,x^4+b\,x^2+a}} \,d x","Not used",1,"int(((A + B*x^2)*(d + e*x^2))/(a + b*x^2 + c*x^4)^(1/2), x)","F"
20,0,-1,283,0.000000,"\text{Not used}","int((A + B*x^2)/(a + b*x^2 + c*x^4)^(1/2),x)","\int \frac{B\,x^2+A}{\sqrt{c\,x^4+b\,x^2+a}} \,d x","Not used",1,"int((A + B*x^2)/(a + b*x^2 + c*x^4)^(1/2), x)","F"
21,0,-1,436,0.000000,"\text{Not used}","int((A + B*x^2)/((d + e*x^2)*(a + b*x^2 + c*x^4)^(1/2)),x)","\int \frac{B\,x^2+A}{\left(e\,x^2+d\right)\,\sqrt{c\,x^4+b\,x^2+a}} \,d x","Not used",1,"int((A + B*x^2)/((d + e*x^2)*(a + b*x^2 + c*x^4)^(1/2)), x)","F"
22,0,-1,782,0.000000,"\text{Not used}","int((A + B*x^2)/((d + e*x^2)^2*(a + b*x^2 + c*x^4)^(1/2)),x)","\int \frac{B\,x^2+A}{{\left(e\,x^2+d\right)}^2\,\sqrt{c\,x^4+b\,x^2+a}} \,d x","Not used",1,"int((A + B*x^2)/((d + e*x^2)^2*(a + b*x^2 + c*x^4)^(1/2)), x)","F"
23,0,-1,1125,0.000000,"\text{Not used}","int((A + B*x^2)/((d + e*x^2)^3*(a + b*x^2 + c*x^4)^(1/2)),x)","\int \frac{B\,x^2+A}{{\left(e\,x^2+d\right)}^3\,\sqrt{c\,x^4+b\,x^2+a}} \,d x","Not used",1,"int((A + B*x^2)/((d + e*x^2)^3*(a + b*x^2 + c*x^4)^(1/2)), x)","F"
24,0,-1,859,0.000000,"\text{Not used}","int(((A + B*x^2)*(d + e*x^2)^3)/(a + b*x^2 + c*x^4)^(3/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x^2+d\right)}^3}{{\left(c\,x^4+b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x^2)*(d + e*x^2)^3)/(a + b*x^2 + c*x^4)^(3/2), x)","F"
25,0,-1,628,0.000000,"\text{Not used}","int(((A + B*x^2)*(d + e*x^2)^2)/(a + b*x^2 + c*x^4)^(3/2),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x^2+d\right)}^2}{{\left(c\,x^4+b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x^2)*(d + e*x^2)^2)/(a + b*x^2 + c*x^4)^(3/2), x)","F"
26,0,-1,481,0.000000,"\text{Not used}","int(((A + B*x^2)*(d + e*x^2))/(a + b*x^2 + c*x^4)^(3/2),x)","\int \frac{\left(B\,x^2+A\right)\,\left(e\,x^2+d\right)}{{\left(c\,x^4+b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x^2)*(d + e*x^2))/(a + b*x^2 + c*x^4)^(3/2), x)","F"
27,0,-1,398,0.000000,"\text{Not used}","int((A + B*x^2)/(a + b*x^2 + c*x^4)^(3/2),x)","\int \frac{B\,x^2+A}{{\left(c\,x^4+b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x^2)/(a + b*x^2 + c*x^4)^(3/2), x)","F"
28,0,-1,867,0.000000,"\text{Not used}","int((A + B*x^2)/((d + e*x^2)*(a + b*x^2 + c*x^4)^(3/2)),x)","\int \frac{B\,x^2+A}{\left(e\,x^2+d\right)\,{\left(c\,x^4+b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x^2)/((d + e*x^2)*(a + b*x^2 + c*x^4)^(3/2)), x)","F"
29,0,-1,1301,0.000000,"\text{Not used}","int((A + B*x^2)/((d + e*x^2)^2*(a + b*x^2 + c*x^4)^(3/2)),x)","\int \frac{B\,x^2+A}{{\left(e\,x^2+d\right)}^2\,{\left(c\,x^4+b\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((A + B*x^2)/((d + e*x^2)^2*(a + b*x^2 + c*x^4)^(3/2)), x)","F"
30,0,-1,273,0.000000,"\text{Not used}","int((a^(1/2) + c^(1/2)*x^2)/((d + e*x^2)*(a + b*x^2 + c*x^4)^(1/2)),x)","\int \frac{\sqrt{a}+\sqrt{c}\,x^2}{\left(e\,x^2+d\right)\,\sqrt{c\,x^4+b\,x^2+a}} \,d x","Not used",1,"int((a^(1/2) + c^(1/2)*x^2)/((d + e*x^2)*(a + b*x^2 + c*x^4)^(1/2)), x)","F"
31,0,-1,271,0.000000,"\text{Not used}","int((x^2*(c/a)^(1/2) + 1)/((d + e*x^2)*(a + b*x^2 + c*x^4)^(1/2)),x)","\int \frac{x^2\,\sqrt{\frac{c}{a}}+1}{\left(e\,x^2+d\right)\,\sqrt{c\,x^4+b\,x^2+a}} \,d x","Not used",1,"int((x^2*(c/a)^(1/2) + 1)/((d + e*x^2)*(a + b*x^2 + c*x^4)^(1/2)), x)","F"
32,0,-1,106,0.000000,"\text{Not used}","int((315*x^2 + 946)/((5*x^2 + 7)*(3*x^2 + x^4 + 2)^(1/2)),x)","\int \frac{315\,x^2+946}{\left(5\,x^2+7\right)\,\sqrt{x^4+3\,x^2+2}} \,d x","Not used",1,"int((315*x^2 + 946)/((5*x^2 + 7)*(3*x^2 + x^4 + 2)^(1/2)), x)","F"
33,0,-1,218,0.000000,"\text{Not used}","int(((A + B*x^2)*(d + e*x^2)^q)/(a + b*x^2 + c*x^4),x)","\int \frac{\left(B\,x^2+A\right)\,{\left(e\,x^2+d\right)}^q}{c\,x^4+b\,x^2+a} \,d x","Not used",1,"int(((A + B*x^2)*(d + e*x^2)^q)/(a + b*x^2 + c*x^4), x)","F"
34,1,397,106,1.845422,"\text{Not used}","int((x*(2*x^2 + 1))/((x^2 + 1)^(1/2)*(x^2 + x^4 + 1)),x)","\frac{\left(\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-\ln\left(\frac{x}{2}+\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)\,\sqrt{x^2+1}+1+\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{2}\right)\right)\,\left(2\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{\sqrt{{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2+1}\,\left(4\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3+1+\sqrt{3}\,1{}\mathrm{i}\right)}+\frac{\left(\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-\ln\left(1+\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)\,\sqrt{x^2+1}-\frac{x}{2}+\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{2}\right)\right)\,\left(2\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{\sqrt{{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2+1}\,\left(4\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3-1+\sqrt{3}\,1{}\mathrm{i}\right)}+\frac{\left(\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-\ln\left(\frac{x}{2}+\left(\frac{\sqrt{3}}{2}-\frac{1}{2}{}\mathrm{i}\right)\,\sqrt{x^2+1}+1-\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{2}\right)\right)\,\left(2\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{\sqrt{{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2+1}\,\left(4\,{\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3-1+\sqrt{3}\,1{}\mathrm{i}\right)}+\frac{\left(\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)-\ln\left(1+\left(\frac{\sqrt{3}}{2}+\frac{1}{2}{}\mathrm{i}\right)\,\sqrt{x^2+1}-\frac{x}{2}-\frac{\sqrt{3}\,x\,1{}\mathrm{i}}{2}\right)\right)\,\left(2\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}{\sqrt{{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^2+1}\,\left(4\,{\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)}^3+1+\sqrt{3}\,1{}\mathrm{i}\right)}","Not used",1,"((log(x - (3^(1/2)*1i)/2 - 1/2) - log(x/2 + (3^(1/2)/2 + 1i/2)*(x^2 + 1)^(1/2) + (3^(1/2)*x*1i)/2 + 1))*((3^(1/2)*1i)/2 + 2*((3^(1/2)*1i)/2 + 1/2)^3 + 1/2))/((((3^(1/2)*1i)/2 + 1/2)^2 + 1)^(1/2)*(3^(1/2)*1i + 4*((3^(1/2)*1i)/2 + 1/2)^3 + 1)) + ((log(x - (3^(1/2)*1i)/2 + 1/2) - log((3^(1/2)/2 - 1i/2)*(x^2 + 1)^(1/2) - x/2 + (3^(1/2)*x*1i)/2 + 1))*((3^(1/2)*1i)/2 + 2*((3^(1/2)*1i)/2 - 1/2)^3 - 1/2))/((((3^(1/2)*1i)/2 - 1/2)^2 + 1)^(1/2)*(3^(1/2)*1i + 4*((3^(1/2)*1i)/2 - 1/2)^3 - 1)) + ((log(x + (3^(1/2)*1i)/2 - 1/2) - log(x/2 + (3^(1/2)/2 - 1i/2)*(x^2 + 1)^(1/2) - (3^(1/2)*x*1i)/2 + 1))*((3^(1/2)*1i)/2 + 2*((3^(1/2)*1i)/2 - 1/2)^3 - 1/2))/((((3^(1/2)*1i)/2 - 1/2)^2 + 1)^(1/2)*(3^(1/2)*1i + 4*((3^(1/2)*1i)/2 - 1/2)^3 - 1)) + ((log(x + (3^(1/2)*1i)/2 + 1/2) - log((3^(1/2)/2 + 1i/2)*(x^2 + 1)^(1/2) - x/2 - (3^(1/2)*x*1i)/2 + 1))*((3^(1/2)*1i)/2 + 2*((3^(1/2)*1i)/2 + 1/2)^3 + 1/2))/((((3^(1/2)*1i)/2 + 1/2)^2 + 1)^(1/2)*(3^(1/2)*1i + 4*((3^(1/2)*1i)/2 + 1/2)^3 + 1))","B"
35,0,-1,145,0.000000,"\text{Not used}","int((a + b*x^2 + c*x^4)^(1/2)/(a*d - c*d*x^4),x)","\int \frac{\sqrt{c\,x^4+b\,x^2+a}}{a\,d-c\,d\,x^4} \,d x","Not used",1,"int((a + b*x^2 + c*x^4)^(1/2)/(a*d - c*d*x^4), x)","F"
36,0,-1,239,0.000000,"\text{Not used}","int((a + b*x^2 - c*x^4)^(1/2)/(a*d + c*d*x^4),x)","\int \frac{\sqrt{-c\,x^4+b\,x^2+a}}{c\,d\,x^4+a\,d} \,d x","Not used",1,"int((a + b*x^2 - c*x^4)^(1/2)/(a*d + c*d*x^4), x)","F"
37,0,-1,309,0.000000,"\text{Not used}","int(x*((a + b*x^2)^2)^(1/2)*(c + e*x + d*x^2)^(1/2),x)","\int x\,\sqrt{{\left(b\,x^2+a\right)}^2}\,\sqrt{d\,x^2+e\,x+c} \,d x","Not used",1,"int(x*((a + b*x^2)^2)^(1/2)*(c + e*x + d*x^2)^(1/2), x)","F"
38,0,-1,283,0.000000,"\text{Not used}","int(((a + b*x^2)^2)^(1/2)*(c + e*x + d*x^2)^(1/2),x)","\int \sqrt{{\left(b\,x^2+a\right)}^2}\,\sqrt{d\,x^2+e\,x+c} \,d x","Not used",1,"int(((a + b*x^2)^2)^(1/2)*(c + e*x + d*x^2)^(1/2), x)","F"
39,0,-1,286,0.000000,"\text{Not used}","int((((a + b*x^2)^2)^(1/2)*(c + e*x + d*x^2)^(1/2))/x,x)","\int \frac{\sqrt{{\left(b\,x^2+a\right)}^2}\,\sqrt{d\,x^2+e\,x+c}}{x} \,d x","Not used",1,"int((((a + b*x^2)^2)^(1/2)*(c + e*x + d*x^2)^(1/2))/x, x)","F"
40,0,-1,294,0.000000,"\text{Not used}","int((((a + b*x^2)^2)^(1/2)*(c + e*x + d*x^2)^(1/2))/x^2,x)","\int \frac{\sqrt{{\left(b\,x^2+a\right)}^2}\,\sqrt{d\,x^2+e\,x+c}}{x^2} \,d x","Not used",1,"int((((a + b*x^2)^2)^(1/2)*(c + e*x + d*x^2)^(1/2))/x^2, x)","F"
41,0,-1,288,0.000000,"\text{Not used}","int((((a + b*x^2)^2)^(1/2)*(c + e*x + d*x^2)^(1/2))/x^3,x)","\int \frac{\sqrt{{\left(b\,x^2+a\right)}^2}\,\sqrt{d\,x^2+e\,x+c}}{x^3} \,d x","Not used",1,"int((((a + b*x^2)^2)^(1/2)*(c + e*x + d*x^2)^(1/2))/x^3, x)","F"
42,0,-1,294,0.000000,"\text{Not used}","int((((a + b*x^2)^2)^(1/2)*(c + e*x + d*x^2)^(1/2))/x^4,x)","\int \frac{\sqrt{{\left(b\,x^2+a\right)}^2}\,\sqrt{d\,x^2+e\,x+c}}{x^4} \,d x","Not used",1,"int((((a + b*x^2)^2)^(1/2)*(c + e*x + d*x^2)^(1/2))/x^4, x)","F"