1,1,182,172,0.102078,"\text{Not used}","int((a + b*x^2)*(c + d*x^2)*(e + f*x^2)^4,x)","x^3\,\left(\frac{a\,d\,e^4}{3}+\frac{b\,c\,e^4}{3}+\frac{4\,a\,c\,e^3\,f}{3}\right)+x^{11}\,\left(\frac{a\,d\,f^4}{11}+\frac{b\,c\,f^4}{11}+\frac{4\,b\,d\,e\,f^3}{11}\right)+x^5\,\left(\frac{b\,d\,e^4}{5}+\frac{4\,a\,d\,e^3\,f}{5}+\frac{4\,b\,c\,e^3\,f}{5}+\frac{6\,a\,c\,e^2\,f^2}{5}\right)+x^9\,\left(\frac{a\,c\,f^4}{9}+\frac{4\,a\,d\,e\,f^3}{9}+\frac{4\,b\,c\,e\,f^3}{9}+\frac{2\,b\,d\,e^2\,f^2}{3}\right)+\frac{2\,e\,f\,x^7\,\left(2\,a\,c\,f^2+2\,b\,d\,e^2+3\,a\,d\,e\,f+3\,b\,c\,e\,f\right)}{7}+a\,c\,e^4\,x+\frac{b\,d\,f^4\,x^{13}}{13}","Not used",1,"x^3*((a*d*e^4)/3 + (b*c*e^4)/3 + (4*a*c*e^3*f)/3) + x^11*((a*d*f^4)/11 + (b*c*f^4)/11 + (4*b*d*e*f^3)/11) + x^5*((b*d*e^4)/5 + (4*a*d*e^3*f)/5 + (4*b*c*e^3*f)/5 + (6*a*c*e^2*f^2)/5) + x^9*((a*c*f^4)/9 + (4*a*d*e*f^3)/9 + (4*b*c*e*f^3)/9 + (2*b*d*e^2*f^2)/3) + (2*e*f*x^7*(2*a*c*f^2 + 2*b*d*e^2 + 3*a*d*e*f + 3*b*c*e*f))/7 + a*c*e^4*x + (b*d*f^4*x^13)/13","B"
2,1,143,130,0.838232,"\text{Not used}","int((a + b*x^2)*(c + d*x^2)*(e + f*x^2)^3,x)","x^5\,\left(\frac{b\,d\,e^3}{5}+\frac{3\,a\,c\,e\,f^2}{5}+\frac{3\,a\,d\,e^2\,f}{5}+\frac{3\,b\,c\,e^2\,f}{5}\right)+x^7\,\left(\frac{a\,c\,f^3}{7}+\frac{3\,a\,d\,e\,f^2}{7}+\frac{3\,b\,c\,e\,f^2}{7}+\frac{3\,b\,d\,e^2\,f}{7}\right)+x^3\,\left(\frac{a\,d\,e^3}{3}+\frac{b\,c\,e^3}{3}+a\,c\,e^2\,f\right)+x^9\,\left(\frac{a\,d\,f^3}{9}+\frac{b\,c\,f^3}{9}+\frac{b\,d\,e\,f^2}{3}\right)+a\,c\,e^3\,x+\frac{b\,d\,f^3\,x^{11}}{11}","Not used",1,"x^5*((b*d*e^3)/5 + (3*a*c*e*f^2)/5 + (3*a*d*e^2*f)/5 + (3*b*c*e^2*f)/5) + x^7*((a*c*f^3)/7 + (3*a*d*e*f^2)/7 + (3*b*c*e*f^2)/7 + (3*b*d*e^2*f)/7) + x^3*((a*d*e^3)/3 + (b*c*e^3)/3 + a*c*e^2*f) + x^9*((a*d*f^3)/9 + (b*c*f^3)/9 + (b*d*e*f^2)/3) + a*c*e^3*x + (b*d*f^3*x^11)/11","B"
3,1,99,94,0.047062,"\text{Not used}","int((a + b*x^2)*(c + d*x^2)*(e + f*x^2)^2,x)","x^5\,\left(\frac{a\,c\,f^2}{5}+\frac{b\,d\,e^2}{5}+\frac{2\,a\,d\,e\,f}{5}+\frac{2\,b\,c\,e\,f}{5}\right)+x^3\,\left(\frac{a\,d\,e^2}{3}+\frac{b\,c\,e^2}{3}+\frac{2\,a\,c\,e\,f}{3}\right)+x^7\,\left(\frac{a\,d\,f^2}{7}+\frac{b\,c\,f^2}{7}+\frac{2\,b\,d\,e\,f}{7}\right)+a\,c\,e^2\,x+\frac{b\,d\,f^2\,x^9}{9}","Not used",1,"x^5*((a*c*f^2)/5 + (b*d*e^2)/5 + (2*a*d*e*f)/5 + (2*b*c*e*f)/5) + x^3*((a*d*e^2)/3 + (b*c*e^2)/3 + (2*a*c*e*f)/3) + x^7*((a*d*f^2)/7 + (b*c*f^2)/7 + (2*b*d*e*f)/7) + a*c*e^2*x + (b*d*f^2*x^9)/9","B"
4,1,54,56,0.048369,"\text{Not used}","int((a + b*x^2)*(c + d*x^2)*(e + f*x^2),x)","\frac{b\,d\,f\,x^7}{7}+\left(\frac{a\,d\,f}{5}+\frac{b\,c\,f}{5}+\frac{b\,d\,e}{5}\right)\,x^5+\left(\frac{a\,c\,f}{3}+\frac{a\,d\,e}{3}+\frac{b\,c\,e}{3}\right)\,x^3+a\,c\,e\,x","Not used",1,"x^3*((a*c*f)/3 + (a*d*e)/3 + (b*c*e)/3) + x^5*((a*d*f)/5 + (b*c*f)/5 + (b*d*e)/5) + a*c*e*x + (b*d*f*x^7)/7","B"
5,1,108,81,0.114993,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2))/(e + f*x^2),x)","x\,\left(\frac{a\,d+b\,c}{f}-\frac{b\,d\,e}{f^2}\right)+\frac{b\,d\,x^3}{3\,f}+\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x\,\left(a\,f-b\,e\right)\,\left(c\,f-d\,e\right)}{\sqrt{e}\,\left(a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f\right)}\right)\,\left(a\,f-b\,e\right)\,\left(c\,f-d\,e\right)}{\sqrt{e}\,f^{5/2}}","Not used",1,"x*((a*d + b*c)/f - (b*d*e)/f^2) + (b*d*x^3)/(3*f) + (atan((f^(1/2)*x*(a*f - b*e)*(c*f - d*e))/(e^(1/2)*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f)))*(a*f - b*e)*(c*f - d*e))/(e^(1/2)*f^(5/2))","B"
6,1,95,108,0.166686,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2))/(e + f*x^2)^2,x)","\frac{b\,d\,x}{f^2}+\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x}{\sqrt{e}}\right)\,\left(a\,c\,f^2-3\,b\,d\,e^2+a\,d\,e\,f+b\,c\,e\,f\right)}{2\,e^{3/2}\,f^{5/2}}+\frac{x\,\left(a\,c\,f^2+b\,d\,e^2-a\,d\,e\,f-b\,c\,e\,f\right)}{2\,e\,\left(f^3\,x^2+e\,f^2\right)}","Not used",1,"(b*d*x)/f^2 + (atan((f^(1/2)*x)/e^(1/2))*(a*c*f^2 - 3*b*d*e^2 + a*d*e*f + b*c*e*f))/(2*e^(3/2)*f^(5/2)) + (x*(a*c*f^2 + b*d*e^2 - a*d*e*f - b*c*e*f))/(2*e*(e*f^2 + f^3*x^2))","B"
7,1,136,130,0.968232,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2))/(e + f*x^2)^3,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x}{\sqrt{e}}\right)\,\left(3\,a\,c\,f^2+3\,b\,d\,e^2+a\,d\,e\,f+b\,c\,e\,f\right)}{8\,e^{5/2}\,f^{5/2}}-\frac{\frac{x\,\left(3\,b\,d\,e^2-5\,a\,c\,f^2+a\,d\,e\,f+b\,c\,e\,f\right)}{8\,e\,f^2}-\frac{x^3\,\left(3\,a\,c\,f^2-5\,b\,d\,e^2+a\,d\,e\,f+b\,c\,e\,f\right)}{8\,e^2\,f}}{e^2+2\,e\,f\,x^2+f^2\,x^4}","Not used",1,"(atan((f^(1/2)*x)/e^(1/2))*(3*a*c*f^2 + 3*b*d*e^2 + a*d*e*f + b*c*e*f))/(8*e^(5/2)*f^(5/2)) - ((x*(3*b*d*e^2 - 5*a*c*f^2 + a*d*e*f + b*c*e*f))/(8*e*f^2) - (x^3*(3*a*c*f^2 - 5*b*d*e^2 + a*d*e*f + b*c*e*f))/(8*e^2*f))/(e^2 + f^2*x^4 + 2*e*f*x^2)","B"
8,1,176,171,0.177080,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2))/(e + f*x^2)^4,x)","\frac{\frac{x^5\,\left(5\,a\,c\,f^2+b\,d\,e^2+a\,d\,e\,f+b\,c\,e\,f\right)}{16\,e^3}-\frac{x\,\left(b\,d\,e^2-11\,a\,c\,f^2+a\,d\,e\,f+b\,c\,e\,f\right)}{16\,e\,f^2}+\frac{x^3\,\left(5\,a\,c\,f^2-b\,d\,e^2+a\,d\,e\,f+b\,c\,e\,f\right)}{6\,e^2\,f}}{e^3+3\,e^2\,f\,x^2+3\,e\,f^2\,x^4+f^3\,x^6}+\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x}{\sqrt{e}}\right)\,\left(5\,a\,c\,f^2+b\,d\,e^2+a\,d\,e\,f+b\,c\,e\,f\right)}{16\,e^{7/2}\,f^{5/2}}","Not used",1,"((x^5*(5*a*c*f^2 + b*d*e^2 + a*d*e*f + b*c*e*f))/(16*e^3) - (x*(b*d*e^2 - 11*a*c*f^2 + a*d*e*f + b*c*e*f))/(16*e*f^2) + (x^3*(5*a*c*f^2 - b*d*e^2 + a*d*e*f + b*c*e*f))/(6*e^2*f))/(e^3 + f^3*x^6 + 3*e^2*f*x^2 + 3*e*f^2*x^4) + (atan((f^(1/2)*x)/e^(1/2))*(5*a*c*f^2 + b*d*e^2 + a*d*e*f + b*c*e*f))/(16*e^(7/2)*f^(5/2))","B"
9,1,233,226,0.856567,"\text{Not used}","int((a + b*x^2)*(c + d*x^2)^2*(e + f*x^2)^3,x)","x^5\,\left(\frac{3\,b\,c^2\,e^2\,f}{5}+\frac{3\,a\,c^2\,e\,f^2}{5}+\frac{2\,b\,c\,d\,e^3}{5}+\frac{6\,a\,c\,d\,e^2\,f}{5}+\frac{a\,d^2\,e^3}{5}\right)+x^9\,\left(\frac{b\,c^2\,f^3}{9}+\frac{2\,b\,c\,d\,e\,f^2}{3}+\frac{2\,a\,c\,d\,f^3}{9}+\frac{b\,d^2\,e^2\,f}{3}+\frac{a\,d^2\,e\,f^2}{3}\right)+x^7\,\left(\frac{3\,b\,c^2\,e\,f^2}{7}+\frac{a\,c^2\,f^3}{7}+\frac{6\,b\,c\,d\,e^2\,f}{7}+\frac{6\,a\,c\,d\,e\,f^2}{7}+\frac{b\,d^2\,e^3}{7}+\frac{3\,a\,d^2\,e^2\,f}{7}\right)+\frac{b\,d^2\,f^3\,x^{13}}{13}+\frac{c\,e^2\,x^3\,\left(3\,a\,c\,f+2\,a\,d\,e+b\,c\,e\right)}{3}+\frac{d\,f^2\,x^{11}\,\left(a\,d\,f+2\,b\,c\,f+3\,b\,d\,e\right)}{11}+a\,c^2\,e^3\,x","Not used",1,"x^5*((a*d^2*e^3)/5 + (2*b*c*d*e^3)/5 + (3*a*c^2*e*f^2)/5 + (3*b*c^2*e^2*f)/5 + (6*a*c*d*e^2*f)/5) + x^9*((b*c^2*f^3)/9 + (2*a*c*d*f^3)/9 + (a*d^2*e*f^2)/3 + (b*d^2*e^2*f)/3 + (2*b*c*d*e*f^2)/3) + x^7*((a*c^2*f^3)/7 + (b*d^2*e^3)/7 + (3*a*d^2*e^2*f)/7 + (3*b*c^2*e*f^2)/7 + (6*a*c*d*e*f^2)/7 + (6*b*c*d*e^2*f)/7) + (b*d^2*f^3*x^13)/13 + (c*e^2*x^3*(3*a*c*f + 2*a*d*e + b*c*e))/3 + (d*f^2*x^11*(a*d*f + 2*b*c*f + 3*b*d*e))/11 + a*c^2*e^3*x","B"
10,1,158,158,0.068838,"\text{Not used}","int((a + b*x^2)*(c + d*x^2)^2*(e + f*x^2)^2,x)","x^5\,\left(\frac{2\,b\,c^2\,e\,f}{5}+\frac{a\,c^2\,f^2}{5}+\frac{2\,b\,c\,d\,e^2}{5}+\frac{4\,a\,c\,d\,e\,f}{5}+\frac{a\,d^2\,e^2}{5}\right)+x^7\,\left(\frac{b\,c^2\,f^2}{7}+\frac{4\,b\,c\,d\,e\,f}{7}+\frac{2\,a\,c\,d\,f^2}{7}+\frac{b\,d^2\,e^2}{7}+\frac{2\,a\,d^2\,e\,f}{7}\right)+\frac{b\,d^2\,f^2\,x^{11}}{11}+a\,c^2\,e^2\,x+\frac{c\,e\,x^3\,\left(2\,a\,c\,f+2\,a\,d\,e+b\,c\,e\right)}{3}+\frac{d\,f\,x^9\,\left(a\,d\,f+2\,b\,c\,f+2\,b\,d\,e\right)}{9}","Not used",1,"x^5*((a*c^2*f^2)/5 + (a*d^2*e^2)/5 + (2*b*c*d*e^2)/5 + (2*b*c^2*e*f)/5 + (4*a*c*d*e*f)/5) + x^7*((b*c^2*f^2)/7 + (b*d^2*e^2)/7 + (2*a*c*d*f^2)/7 + (2*a*d^2*e*f)/7 + (4*b*c*d*e*f)/7) + (b*d^2*f^2*x^11)/11 + a*c^2*e^2*x + (c*e*x^3*(2*a*c*f + 2*a*d*e + b*c*e))/3 + (d*f*x^9*(a*d*f + 2*b*c*f + 2*b*d*e))/9","B"
11,1,99,94,0.046634,"\text{Not used}","int((a + b*x^2)*(c + d*x^2)^2*(e + f*x^2),x)","x^5\,\left(\frac{a\,d^2\,e}{5}+\frac{b\,c^2\,f}{5}+\frac{2\,a\,c\,d\,f}{5}+\frac{2\,b\,c\,d\,e}{5}\right)+x^3\,\left(\frac{a\,c^2\,f}{3}+\frac{b\,c^2\,e}{3}+\frac{2\,a\,c\,d\,e}{3}\right)+x^7\,\left(\frac{a\,d^2\,f}{7}+\frac{b\,d^2\,e}{7}+\frac{2\,b\,c\,d\,f}{7}\right)+a\,c^2\,e\,x+\frac{b\,d^2\,f\,x^9}{9}","Not used",1,"x^5*((a*d^2*e)/5 + (b*c^2*f)/5 + (2*a*c*d*f)/5 + (2*b*c*d*e)/5) + x^3*((a*c^2*f)/3 + (b*c^2*e)/3 + (2*a*c*d*e)/3) + x^7*((a*d^2*f)/7 + (b*d^2*e)/7 + (2*b*c*d*f)/7) + a*c^2*e*x + (b*d^2*f*x^9)/9","B"
12,1,203,142,0.856507,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^2)/(e + f*x^2),x)","x^3\,\left(\frac{a\,d^2+2\,b\,c\,d}{3\,f}-\frac{b\,d^2\,e}{3\,f^2}\right)+x\,\left(\frac{b\,c^2+2\,a\,d\,c}{f}-\frac{e\,\left(\frac{a\,d^2+2\,b\,c\,d}{f}-\frac{b\,d^2\,e}{f^2}\right)}{f}\right)+\frac{b\,d^2\,x^5}{5\,f}+\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x\,\left(a\,f-b\,e\right)\,{\left(c\,f-d\,e\right)}^2}{\sqrt{e}\,\left(-b\,c^2\,e\,f^2+a\,c^2\,f^3+2\,b\,c\,d\,e^2\,f-2\,a\,c\,d\,e\,f^2-b\,d^2\,e^3+a\,d^2\,e^2\,f\right)}\right)\,\left(a\,f-b\,e\right)\,{\left(c\,f-d\,e\right)}^2}{\sqrt{e}\,f^{7/2}}","Not used",1,"x^3*((a*d^2 + 2*b*c*d)/(3*f) - (b*d^2*e)/(3*f^2)) + x*((b*c^2 + 2*a*c*d)/f - (e*((a*d^2 + 2*b*c*d)/f - (b*d^2*e)/f^2))/f) + (b*d^2*x^5)/(5*f) + (atan((f^(1/2)*x*(a*f - b*e)*(c*f - d*e)^2)/(e^(1/2)*(a*c^2*f^3 - b*d^2*e^3 + a*d^2*e^2*f - b*c^2*e*f^2 - 2*a*c*d*e*f^2 + 2*b*c*d*e^2*f)))*(a*f - b*e)*(c*f - d*e)^2)/(e^(1/2)*f^(7/2))","B"
13,1,257,164,0.167325,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^2)/(e + f*x^2)^2,x)","x\,\left(\frac{a\,d^2+2\,b\,c\,d}{f^2}-\frac{2\,b\,d^2\,e}{f^3}\right)+\frac{b\,d^2\,x^3}{3\,f^2}+\frac{x\,\left(-b\,c^2\,e\,f^2+a\,c^2\,f^3+2\,b\,c\,d\,e^2\,f-2\,a\,c\,d\,e\,f^2-b\,d^2\,e^3+a\,d^2\,e^2\,f\right)}{2\,e\,\left(f^4\,x^2+e\,f^3\right)}+\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x\,\left(c\,f-d\,e\right)\,\left(a\,c\,f^2-5\,b\,d\,e^2+3\,a\,d\,e\,f+b\,c\,e\,f\right)}{\sqrt{e}\,\left(b\,c^2\,e\,f^2+a\,c^2\,f^3-6\,b\,c\,d\,e^2\,f+2\,a\,c\,d\,e\,f^2+5\,b\,d^2\,e^3-3\,a\,d^2\,e^2\,f\right)}\right)\,\left(c\,f-d\,e\right)\,\left(a\,c\,f^2-5\,b\,d\,e^2+3\,a\,d\,e\,f+b\,c\,e\,f\right)}{2\,e^{3/2}\,f^{7/2}}","Not used",1,"x*((a*d^2 + 2*b*c*d)/f^2 - (2*b*d^2*e)/f^3) + (b*d^2*x^3)/(3*f^2) + (x*(a*c^2*f^3 - b*d^2*e^3 + a*d^2*e^2*f - b*c^2*e*f^2 - 2*a*c*d*e*f^2 + 2*b*c*d*e^2*f))/(2*e*(e*f^3 + f^4*x^2)) + (atan((f^(1/2)*x*(c*f - d*e)*(a*c*f^2 - 5*b*d*e^2 + 3*a*d*e*f + b*c*e*f))/(e^(1/2)*(a*c^2*f^3 + 5*b*d^2*e^3 - 3*a*d^2*e^2*f + b*c^2*e*f^2 + 2*a*c*d*e*f^2 - 6*b*c*d*e^2*f)))*(c*f - d*e)*(a*c*f^2 - 5*b*d*e^2 + 3*a*d*e*f + b*c*e*f))/(2*e^(3/2)*f^(7/2))","B"
14,1,243,207,0.976012,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^2)/(e + f*x^2)^3,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x}{\sqrt{e}}\right)\,\left(b\,c^2\,e\,f^2+3\,a\,c^2\,f^3+6\,b\,c\,d\,e^2\,f+2\,a\,c\,d\,e\,f^2-15\,b\,d^2\,e^3+3\,a\,d^2\,e^2\,f\right)}{8\,e^{5/2}\,f^{7/2}}-\frac{\frac{x\,\left(b\,c^2\,e\,f^2-5\,a\,c^2\,f^3+6\,b\,c\,d\,e^2\,f+2\,a\,c\,d\,e\,f^2-7\,b\,d^2\,e^3+3\,a\,d^2\,e^2\,f\right)}{8\,e}-\frac{x^3\,\left(b\,c^2\,e\,f^3+3\,a\,c^2\,f^4-10\,b\,c\,d\,e^2\,f^2+2\,a\,c\,d\,e\,f^3+9\,b\,d^2\,e^3\,f-5\,a\,d^2\,e^2\,f^2\right)}{8\,e^2}}{e^2\,f^3+2\,e\,f^4\,x^2+f^5\,x^4}+\frac{b\,d^2\,x}{f^3}","Not used",1,"(atan((f^(1/2)*x)/e^(1/2))*(3*a*c^2*f^3 - 15*b*d^2*e^3 + 3*a*d^2*e^2*f + b*c^2*e*f^2 + 2*a*c*d*e*f^2 + 6*b*c*d*e^2*f))/(8*e^(5/2)*f^(7/2)) - ((x*(3*a*d^2*e^2*f - 7*b*d^2*e^3 - 5*a*c^2*f^3 + b*c^2*e*f^2 + 2*a*c*d*e*f^2 + 6*b*c*d*e^2*f))/(8*e) - (x^3*(3*a*c^2*f^4 - 5*a*d^2*e^2*f^2 + b*c^2*e*f^3 + 9*b*d^2*e^3*f - 10*b*c*d*e^2*f^2 + 2*a*c*d*e*f^3))/(8*e^2))/(e^2*f^3 + f^5*x^4 + 2*e*f^4*x^2) + (b*d^2*x)/f^3","B"
15,1,303,240,0.975649,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^2)/(e + f*x^2)^4,x)","\frac{\frac{x^3\,\left(b\,c^2\,e\,f^2+5\,a\,c^2\,f^3-2\,b\,c\,d\,e^2\,f+2\,a\,c\,d\,e\,f^2-5\,b\,d^2\,e^3-a\,d^2\,e^2\,f\right)}{6\,e^2\,f^2}-\frac{x\,\left(b\,c^2\,e\,f^2-11\,a\,c^2\,f^3+2\,b\,c\,d\,e^2\,f+2\,a\,c\,d\,e\,f^2+5\,b\,d^2\,e^3+a\,d^2\,e^2\,f\right)}{16\,e\,f^3}+\frac{x^5\,\left(b\,c^2\,e\,f^2+5\,a\,c^2\,f^3+2\,b\,c\,d\,e^2\,f+2\,a\,c\,d\,e\,f^2-11\,b\,d^2\,e^3+a\,d^2\,e^2\,f\right)}{16\,e^3\,f}}{e^3+3\,e^2\,f\,x^2+3\,e\,f^2\,x^4+f^3\,x^6}+\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x}{\sqrt{e}}\right)\,\left(b\,c^2\,e\,f^2+5\,a\,c^2\,f^3+2\,b\,c\,d\,e^2\,f+2\,a\,c\,d\,e\,f^2+5\,b\,d^2\,e^3+a\,d^2\,e^2\,f\right)}{16\,e^{7/2}\,f^{7/2}}","Not used",1,"((x^3*(5*a*c^2*f^3 - 5*b*d^2*e^3 - a*d^2*e^2*f + b*c^2*e*f^2 + 2*a*c*d*e*f^2 - 2*b*c*d*e^2*f))/(6*e^2*f^2) - (x*(5*b*d^2*e^3 - 11*a*c^2*f^3 + a*d^2*e^2*f + b*c^2*e*f^2 + 2*a*c*d*e*f^2 + 2*b*c*d*e^2*f))/(16*e*f^3) + (x^5*(5*a*c^2*f^3 - 11*b*d^2*e^3 + a*d^2*e^2*f + b*c^2*e*f^2 + 2*a*c*d*e*f^2 + 2*b*c*d*e^2*f))/(16*e^3*f))/(e^3 + f^3*x^6 + 3*e^2*f*x^2 + 3*e*f^2*x^4) + (atan((f^(1/2)*x)/e^(1/2))*(5*a*c^2*f^3 + 5*b*d^2*e^3 + a*d^2*e^2*f + b*c^2*e*f^2 + 2*a*c*d*e*f^2 + 2*b*c*d*e^2*f))/(16*e^(7/2)*f^(7/2))","B"
16,1,335,310,0.116257,"\text{Not used}","int((a + b*x^2)*(c + d*x^2)^3*(e + f*x^2)^3,x)","x^5\,\left(\frac{3\,b\,c^3\,e^2\,f}{5}+\frac{3\,a\,c^3\,e\,f^2}{5}+\frac{3\,b\,c^2\,d\,e^3}{5}+\frac{9\,a\,c^2\,d\,e^2\,f}{5}+\frac{3\,a\,c\,d^2\,e^3}{5}\right)+x^{11}\,\left(\frac{3\,b\,c^2\,d\,f^3}{11}+\frac{9\,b\,c\,d^2\,e\,f^2}{11}+\frac{3\,a\,c\,d^2\,f^3}{11}+\frac{3\,b\,d^3\,e^2\,f}{11}+\frac{3\,a\,d^3\,e\,f^2}{11}\right)+x^7\,\left(\frac{3\,b\,c^3\,e\,f^2}{7}+\frac{a\,c^3\,f^3}{7}+\frac{9\,b\,c^2\,d\,e^2\,f}{7}+\frac{9\,a\,c^2\,d\,e\,f^2}{7}+\frac{3\,b\,c\,d^2\,e^3}{7}+\frac{9\,a\,c\,d^2\,e^2\,f}{7}+\frac{a\,d^3\,e^3}{7}\right)+x^9\,\left(\frac{b\,c^3\,f^3}{9}+b\,c^2\,d\,e\,f^2+\frac{a\,c^2\,d\,f^3}{3}+b\,c\,d^2\,e^2\,f+a\,c\,d^2\,e\,f^2+\frac{b\,d^3\,e^3}{9}+\frac{a\,d^3\,e^2\,f}{3}\right)+\frac{b\,d^3\,f^3\,x^{15}}{15}+\frac{c^2\,e^2\,x^3\,\left(3\,a\,c\,f+3\,a\,d\,e+b\,c\,e\right)}{3}+\frac{d^2\,f^2\,x^{13}\,\left(a\,d\,f+3\,b\,c\,f+3\,b\,d\,e\right)}{13}+a\,c^3\,e^3\,x","Not used",1,"x^5*((3*a*c*d^2*e^3)/5 + (3*b*c^2*d*e^3)/5 + (3*a*c^3*e*f^2)/5 + (3*b*c^3*e^2*f)/5 + (9*a*c^2*d*e^2*f)/5) + x^11*((3*a*c*d^2*f^3)/11 + (3*b*c^2*d*f^3)/11 + (3*a*d^3*e*f^2)/11 + (3*b*d^3*e^2*f)/11 + (9*b*c*d^2*e*f^2)/11) + x^7*((a*c^3*f^3)/7 + (a*d^3*e^3)/7 + (3*b*c*d^2*e^3)/7 + (3*b*c^3*e*f^2)/7 + (9*a*c*d^2*e^2*f)/7 + (9*a*c^2*d*e*f^2)/7 + (9*b*c^2*d*e^2*f)/7) + x^9*((b*c^3*f^3)/9 + (b*d^3*e^3)/9 + (a*c^2*d*f^3)/3 + (a*d^3*e^2*f)/3 + a*c*d^2*e*f^2 + b*c*d^2*e^2*f + b*c^2*d*e*f^2) + (b*d^3*f^3*x^15)/15 + (c^2*e^2*x^3*(3*a*c*f + 3*a*d*e + b*c*e))/3 + (d^2*f^2*x^13*(a*d*f + 3*b*c*f + 3*b*d*e))/13 + a*c^3*e^3*x","B"
17,1,233,226,0.845571,"\text{Not used}","int((a + b*x^2)*(c + d*x^2)^3*(e + f*x^2)^2,x)","x^5\,\left(\frac{2\,b\,c^3\,e\,f}{5}+\frac{a\,c^3\,f^2}{5}+\frac{3\,b\,c^2\,d\,e^2}{5}+\frac{6\,a\,c^2\,d\,e\,f}{5}+\frac{3\,a\,c\,d^2\,e^2}{5}\right)+x^9\,\left(\frac{b\,c^2\,d\,f^2}{3}+\frac{2\,b\,c\,d^2\,e\,f}{3}+\frac{a\,c\,d^2\,f^2}{3}+\frac{b\,d^3\,e^2}{9}+\frac{2\,a\,d^3\,e\,f}{9}\right)+x^7\,\left(\frac{b\,c^3\,f^2}{7}+\frac{6\,b\,c^2\,d\,e\,f}{7}+\frac{3\,a\,c^2\,d\,f^2}{7}+\frac{3\,b\,c\,d^2\,e^2}{7}+\frac{6\,a\,c\,d^2\,e\,f}{7}+\frac{a\,d^3\,e^2}{7}\right)+\frac{b\,d^3\,f^2\,x^{13}}{13}+\frac{c^2\,e\,x^3\,\left(2\,a\,c\,f+3\,a\,d\,e+b\,c\,e\right)}{3}+\frac{d^2\,f\,x^{11}\,\left(a\,d\,f+3\,b\,c\,f+2\,b\,d\,e\right)}{11}+a\,c^3\,e^2\,x","Not used",1,"x^5*((a*c^3*f^2)/5 + (2*b*c^3*e*f)/5 + (3*a*c*d^2*e^2)/5 + (3*b*c^2*d*e^2)/5 + (6*a*c^2*d*e*f)/5) + x^9*((b*d^3*e^2)/9 + (2*a*d^3*e*f)/9 + (a*c*d^2*f^2)/3 + (b*c^2*d*f^2)/3 + (2*b*c*d^2*e*f)/3) + x^7*((a*d^3*e^2)/7 + (b*c^3*f^2)/7 + (3*a*c^2*d*f^2)/7 + (3*b*c*d^2*e^2)/7 + (6*a*c*d^2*e*f)/7 + (6*b*c^2*d*e*f)/7) + (b*d^3*f^2*x^13)/13 + (c^2*e*x^3*(2*a*c*f + 3*a*d*e + b*c*e))/3 + (d^2*f*x^11*(a*d*f + 3*b*c*f + 2*b*d*e))/11 + a*c^3*e^2*x","B"
18,1,143,130,0.814868,"\text{Not used}","int((a + b*x^2)*(c + d*x^2)^3*(e + f*x^2),x)","x^5\,\left(\frac{b\,c^3\,f}{5}+\frac{3\,a\,c\,d^2\,e}{5}+\frac{3\,a\,c^2\,d\,f}{5}+\frac{3\,b\,c^2\,d\,e}{5}\right)+x^7\,\left(\frac{a\,d^3\,e}{7}+\frac{3\,a\,c\,d^2\,f}{7}+\frac{3\,b\,c\,d^2\,e}{7}+\frac{3\,b\,c^2\,d\,f}{7}\right)+x^3\,\left(\frac{a\,c^3\,f}{3}+\frac{b\,c^3\,e}{3}+a\,c^2\,d\,e\right)+x^9\,\left(\frac{a\,d^3\,f}{9}+\frac{b\,d^3\,e}{9}+\frac{b\,c\,d^2\,f}{3}\right)+a\,c^3\,e\,x+\frac{b\,d^3\,f\,x^{11}}{11}","Not used",1,"x^5*((b*c^3*f)/5 + (3*a*c*d^2*e)/5 + (3*a*c^2*d*f)/5 + (3*b*c^2*d*e)/5) + x^7*((a*d^3*e)/7 + (3*a*c*d^2*f)/7 + (3*b*c*d^2*e)/7 + (3*b*c^2*d*f)/7) + x^3*((a*c^3*f)/3 + (b*c^3*e)/3 + a*c^2*d*e) + x^9*((a*d^3*f)/9 + (b*d^3*e)/9 + (b*c*d^2*f)/3) + a*c^3*e*x + (b*d^3*f*x^11)/11","B"
19,1,312,227,0.849083,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^3)/(e + f*x^2),x)","x\,\left(\frac{b\,c^3+3\,a\,d\,c^2}{f}+\frac{e\,\left(\frac{e\,\left(\frac{a\,d^3+3\,b\,c\,d^2}{f}-\frac{b\,d^3\,e}{f^2}\right)}{f}-\frac{3\,c\,d\,\left(a\,d+b\,c\right)}{f}\right)}{f}\right)+x^5\,\left(\frac{a\,d^3+3\,b\,c\,d^2}{5\,f}-\frac{b\,d^3\,e}{5\,f^2}\right)-x^3\,\left(\frac{e\,\left(\frac{a\,d^3+3\,b\,c\,d^2}{f}-\frac{b\,d^3\,e}{f^2}\right)}{3\,f}-\frac{c\,d\,\left(a\,d+b\,c\right)}{f}\right)+\frac{b\,d^3\,x^7}{7\,f}+\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x\,\left(a\,f-b\,e\right)\,{\left(c\,f-d\,e\right)}^3}{\sqrt{e}\,\left(-b\,c^3\,e\,f^3+a\,c^3\,f^4+3\,b\,c^2\,d\,e^2\,f^2-3\,a\,c^2\,d\,e\,f^3-3\,b\,c\,d^2\,e^3\,f+3\,a\,c\,d^2\,e^2\,f^2+b\,d^3\,e^4-a\,d^3\,e^3\,f\right)}\right)\,\left(a\,f-b\,e\right)\,{\left(c\,f-d\,e\right)}^3}{\sqrt{e}\,f^{9/2}}","Not used",1,"x*((b*c^3 + 3*a*c^2*d)/f + (e*((e*((a*d^3 + 3*b*c*d^2)/f - (b*d^3*e)/f^2))/f - (3*c*d*(a*d + b*c))/f))/f) + x^5*((a*d^3 + 3*b*c*d^2)/(5*f) - (b*d^3*e)/(5*f^2)) - x^3*((e*((a*d^3 + 3*b*c*d^2)/f - (b*d^3*e)/f^2))/(3*f) - (c*d*(a*d + b*c))/f) + (b*d^3*x^7)/(7*f) + (atan((f^(1/2)*x*(a*f - b*e)*(c*f - d*e)^3)/(e^(1/2)*(a*c^3*f^4 + b*d^3*e^4 - a*d^3*e^3*f - b*c^3*e*f^3 - 3*a*c^2*d*e*f^3 - 3*b*c*d^2*e^3*f + 3*a*c*d^2*e^2*f^2 + 3*b*c^2*d*e^2*f^2)))*(a*f - b*e)*(c*f - d*e)^3)/(e^(1/2)*f^(9/2))","B"
20,1,389,242,0.977050,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^3)/(e + f*x^2)^2,x)","x^3\,\left(\frac{a\,d^3+3\,b\,c\,d^2}{3\,f^2}-\frac{2\,b\,d^3\,e}{3\,f^3}\right)-x\,\left(\frac{2\,e\,\left(\frac{a\,d^3+3\,b\,c\,d^2}{f^2}-\frac{2\,b\,d^3\,e}{f^3}\right)}{f}+\frac{b\,d^3\,e^2}{f^4}-\frac{3\,c\,d\,\left(a\,d+b\,c\right)}{f^2}\right)+\frac{b\,d^3\,x^5}{5\,f^2}+\frac{x\,\left(-b\,c^3\,e\,f^3+a\,c^3\,f^4+3\,b\,c^2\,d\,e^2\,f^2-3\,a\,c^2\,d\,e\,f^3-3\,b\,c\,d^2\,e^3\,f+3\,a\,c\,d^2\,e^2\,f^2+b\,d^3\,e^4-a\,d^3\,e^3\,f\right)}{2\,e\,\left(f^5\,x^2+e\,f^4\right)}+\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x\,{\left(c\,f-d\,e\right)}^2\,\left(a\,c\,f^2-7\,b\,d\,e^2+5\,a\,d\,e\,f+b\,c\,e\,f\right)}{\sqrt{e}\,\left(b\,c^3\,e\,f^3+a\,c^3\,f^4-9\,b\,c^2\,d\,e^2\,f^2+3\,a\,c^2\,d\,e\,f^3+15\,b\,c\,d^2\,e^3\,f-9\,a\,c\,d^2\,e^2\,f^2-7\,b\,d^3\,e^4+5\,a\,d^3\,e^3\,f\right)}\right)\,{\left(c\,f-d\,e\right)}^2\,\left(a\,c\,f^2-7\,b\,d\,e^2+5\,a\,d\,e\,f+b\,c\,e\,f\right)}{2\,e^{3/2}\,f^{9/2}}","Not used",1,"x^3*((a*d^3 + 3*b*c*d^2)/(3*f^2) - (2*b*d^3*e)/(3*f^3)) - x*((2*e*((a*d^3 + 3*b*c*d^2)/f^2 - (2*b*d^3*e)/f^3))/f + (b*d^3*e^2)/f^4 - (3*c*d*(a*d + b*c))/f^2) + (b*d^3*x^5)/(5*f^2) + (x*(a*c^3*f^4 + b*d^3*e^4 - a*d^3*e^3*f - b*c^3*e*f^3 - 3*a*c^2*d*e*f^3 - 3*b*c*d^2*e^3*f + 3*a*c*d^2*e^2*f^2 + 3*b*c^2*d*e^2*f^2))/(2*e*(e*f^4 + f^5*x^2)) + (atan((f^(1/2)*x*(c*f - d*e)^2*(a*c*f^2 - 7*b*d*e^2 + 5*a*d*e*f + b*c*e*f))/(e^(1/2)*(a*c^3*f^4 - 7*b*d^3*e^4 + 5*a*d^3*e^3*f + b*c^3*e*f^3 + 3*a*c^2*d*e*f^3 + 15*b*c*d^2*e^3*f - 9*a*c*d^2*e^2*f^2 - 9*b*c^2*d*e^2*f^2)))*(c*f - d*e)^2*(a*c*f^2 - 7*b*d*e^2 + 5*a*d*e*f + b*c*e*f))/(2*e^(3/2)*f^(9/2))","B"
21,1,495,291,0.222629,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^3)/(e + f*x^2)^3,x)","\frac{\frac{x^3\,\left(b\,c^3\,e\,f^4+3\,a\,c^3\,f^5-15\,b\,c^2\,d\,e^2\,f^3+3\,a\,c^2\,d\,e\,f^4+27\,b\,c\,d^2\,e^3\,f^2-15\,a\,c\,d^2\,e^2\,f^3-13\,b\,d^3\,e^4\,f+9\,a\,d^3\,e^3\,f^2\right)}{8\,e^2}-\frac{x\,\left(b\,c^3\,e\,f^3-5\,a\,c^3\,f^4+9\,b\,c^2\,d\,e^2\,f^2+3\,a\,c^2\,d\,e\,f^3-21\,b\,c\,d^2\,e^3\,f+9\,a\,c\,d^2\,e^2\,f^2+11\,b\,d^3\,e^4-7\,a\,d^3\,e^3\,f\right)}{8\,e}}{e^2\,f^4+2\,e\,f^5\,x^2+f^6\,x^4}+x\,\left(\frac{a\,d^3+3\,b\,c\,d^2}{f^3}-\frac{3\,b\,d^3\,e}{f^4}\right)+\frac{b\,d^3\,x^3}{3\,f^3}+\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x\,\left(c\,f-d\,e\right)\,\left(b\,c^2\,e\,f^2+3\,a\,c^2\,f^3+10\,b\,c\,d\,e^2\,f+6\,a\,c\,d\,e\,f^2-35\,b\,d^2\,e^3+15\,a\,d^2\,e^2\,f\right)}{\sqrt{e}\,\left(b\,c^3\,e\,f^3+3\,a\,c^3\,f^4+9\,b\,c^2\,d\,e^2\,f^2+3\,a\,c^2\,d\,e\,f^3-45\,b\,c\,d^2\,e^3\,f+9\,a\,c\,d^2\,e^2\,f^2+35\,b\,d^3\,e^4-15\,a\,d^3\,e^3\,f\right)}\right)\,\left(c\,f-d\,e\right)\,\left(b\,c^2\,e\,f^2+3\,a\,c^2\,f^3+10\,b\,c\,d\,e^2\,f+6\,a\,c\,d\,e\,f^2-35\,b\,d^2\,e^3+15\,a\,d^2\,e^2\,f\right)}{8\,e^{5/2}\,f^{9/2}}","Not used",1,"((x^3*(3*a*c^3*f^5 + 9*a*d^3*e^3*f^2 + b*c^3*e*f^4 - 13*b*d^3*e^4*f + 3*a*c^2*d*e*f^4 - 15*a*c*d^2*e^2*f^3 + 27*b*c*d^2*e^3*f^2 - 15*b*c^2*d*e^2*f^3))/(8*e^2) - (x*(11*b*d^3*e^4 - 5*a*c^3*f^4 - 7*a*d^3*e^3*f + b*c^3*e*f^3 + 3*a*c^2*d*e*f^3 - 21*b*c*d^2*e^3*f + 9*a*c*d^2*e^2*f^2 + 9*b*c^2*d*e^2*f^2))/(8*e))/(e^2*f^4 + f^6*x^4 + 2*e*f^5*x^2) + x*((a*d^3 + 3*b*c*d^2)/f^3 - (3*b*d^3*e)/f^4) + (b*d^3*x^3)/(3*f^3) + (atan((f^(1/2)*x*(c*f - d*e)*(3*a*c^2*f^3 - 35*b*d^2*e^3 + 15*a*d^2*e^2*f + b*c^2*e*f^2 + 6*a*c*d*e*f^2 + 10*b*c*d*e^2*f))/(e^(1/2)*(3*a*c^3*f^4 + 35*b*d^3*e^4 - 15*a*d^3*e^3*f + b*c^3*e*f^3 + 3*a*c^2*d*e*f^3 - 45*b*c*d^2*e^3*f + 9*a*c*d^2*e^2*f^2 + 9*b*c^2*d*e^2*f^2)))*(c*f - d*e)*(3*a*c^2*f^3 - 35*b*d^2*e^3 + 15*a*d^2*e^2*f + b*c^2*e*f^2 + 6*a*c*d*e*f^2 + 10*b*c*d*e^2*f))/(8*e^(5/2)*f^(9/2))","B"
22,1,444,348,1.186603,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^3)/(e + f*x^2)^4,x)","\frac{\frac{x^3\,\left(b\,c^3\,e\,f^4+5\,a\,c^3\,f^5-3\,b\,c^2\,d\,e^2\,f^3+3\,a\,c^2\,d\,e\,f^4-15\,b\,c\,d^2\,e^3\,f^2-3\,a\,c\,d^2\,e^2\,f^3+17\,b\,d^3\,e^4\,f-5\,a\,d^3\,e^3\,f^2\right)}{6\,e^2}+\frac{x^5\,\left(b\,c^3\,e\,f^5+5\,a\,c^3\,f^6+3\,b\,c^2\,d\,e^2\,f^4+3\,a\,c^2\,d\,e\,f^5-33\,b\,c\,d^2\,e^3\,f^3+3\,a\,c\,d^2\,e^2\,f^4+29\,b\,d^3\,e^4\,f^2-11\,a\,d^3\,e^3\,f^3\right)}{16\,e^3}-\frac{x\,\left(b\,c^3\,e\,f^3-11\,a\,c^3\,f^4+3\,b\,c^2\,d\,e^2\,f^2+3\,a\,c^2\,d\,e\,f^3+15\,b\,c\,d^2\,e^3\,f+3\,a\,c\,d^2\,e^2\,f^2-19\,b\,d^3\,e^4+5\,a\,d^3\,e^3\,f\right)}{16\,e}}{e^3\,f^4+3\,e^2\,f^5\,x^2+3\,e\,f^6\,x^4+f^7\,x^6}+\frac{b\,d^3\,x}{f^4}+\frac{\mathrm{atan}\left(\frac{\sqrt{f}\,x}{\sqrt{e}}\right)\,\left(b\,c^3\,e\,f^3+5\,a\,c^3\,f^4+3\,b\,c^2\,d\,e^2\,f^2+3\,a\,c^2\,d\,e\,f^3+15\,b\,c\,d^2\,e^3\,f+3\,a\,c\,d^2\,e^2\,f^2-35\,b\,d^3\,e^4+5\,a\,d^3\,e^3\,f\right)}{16\,e^{7/2}\,f^{9/2}}","Not used",1,"((x^3*(5*a*c^3*f^5 - 5*a*d^3*e^3*f^2 + b*c^3*e*f^4 + 17*b*d^3*e^4*f + 3*a*c^2*d*e*f^4 - 3*a*c*d^2*e^2*f^3 - 15*b*c*d^2*e^3*f^2 - 3*b*c^2*d*e^2*f^3))/(6*e^2) + (x^5*(5*a*c^3*f^6 - 11*a*d^3*e^3*f^3 + 29*b*d^3*e^4*f^2 + b*c^3*e*f^5 + 3*a*c^2*d*e*f^5 + 3*a*c*d^2*e^2*f^4 - 33*b*c*d^2*e^3*f^3 + 3*b*c^2*d*e^2*f^4))/(16*e^3) - (x*(5*a*d^3*e^3*f - 19*b*d^3*e^4 - 11*a*c^3*f^4 + b*c^3*e*f^3 + 3*a*c^2*d*e*f^3 + 15*b*c*d^2*e^3*f + 3*a*c*d^2*e^2*f^2 + 3*b*c^2*d*e^2*f^2))/(16*e))/(e^3*f^4 + f^7*x^6 + 3*e*f^6*x^4 + 3*e^2*f^5*x^2) + (b*d^3*x)/f^4 + (atan((f^(1/2)*x)/e^(1/2))*(5*a*c^3*f^4 - 35*b*d^3*e^4 + 5*a*d^3*e^3*f + b*c^3*e*f^3 + 3*a*c^2*d*e*f^3 + 15*b*c*d^2*e^3*f + 3*a*c*d^2*e^2*f^2 + 3*b*c^2*d*e^2*f^2))/(16*e^(7/2)*f^(9/2))","B"
23,0,-1,544,0.000000,"\text{Not used}","int((a + b*x^2)*(c + d*x^2)^(3/2)*(e + f*x^2)^(1/2),x)","\int \left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{3/2}\,\sqrt{f\,x^2+e} \,d x","Not used",1,"int((a + b*x^2)*(c + d*x^2)^(3/2)*(e + f*x^2)^(1/2), x)","F"
24,0,-1,381,0.000000,"\text{Not used}","int((a + b*x^2)*(c + d*x^2)^(1/2)*(e + f*x^2)^(1/2),x)","\int \left(b\,x^2+a\right)\,\sqrt{d\,x^2+c}\,\sqrt{f\,x^2+e} \,d x","Not used",1,"int((a + b*x^2)*(c + d*x^2)^(1/2)*(e + f*x^2)^(1/2), x)","F"
25,0,-1,283,0.000000,"\text{Not used}","int(((a + b*x^2)*(e + f*x^2)^(1/2))/(c + d*x^2)^(1/2),x)","\int \frac{\left(b\,x^2+a\right)\,\sqrt{f\,x^2+e}}{\sqrt{d\,x^2+c}} \,d x","Not used",1,"int(((a + b*x^2)*(e + f*x^2)^(1/2))/(c + d*x^2)^(1/2), x)","F"
26,0,-1,271,0.000000,"\text{Not used}","int(((a + b*x^2)*(e + f*x^2)^(1/2))/(c + d*x^2)^(3/2),x)","\int \frac{\left(b\,x^2+a\right)\,\sqrt{f\,x^2+e}}{{\left(d\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x^2)*(e + f*x^2)^(1/2))/(c + d*x^2)^(3/2), x)","F"
27,0,-1,274,0.000000,"\text{Not used}","int(((a + b*x^2)*(e + f*x^2)^(1/2))/(c + d*x^2)^(5/2),x)","\int \frac{\left(b\,x^2+a\right)\,\sqrt{f\,x^2+e}}{{\left(d\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(((a + b*x^2)*(e + f*x^2)^(1/2))/(c + d*x^2)^(5/2), x)","F"
28,0,-1,385,0.000000,"\text{Not used}","int(((a + b*x^2)*(e + f*x^2)^(1/2))/(c + d*x^2)^(7/2),x)","\int \frac{\left(b\,x^2+a\right)\,\sqrt{f\,x^2+e}}{{\left(d\,x^2+c\right)}^{7/2}} \,d x","Not used",1,"int(((a + b*x^2)*(e + f*x^2)^(1/2))/(c + d*x^2)^(7/2), x)","F"
29,0,-1,543,0.000000,"\text{Not used}","int((a + b*x^2)*(c + d*x^2)^(1/2)*(e + f*x^2)^(3/2),x)","\int \left(b\,x^2+a\right)\,\sqrt{d\,x^2+c}\,{\left(f\,x^2+e\right)}^{3/2} \,d x","Not used",1,"int((a + b*x^2)*(c + d*x^2)^(1/2)*(e + f*x^2)^(3/2), x)","F"
30,0,-1,400,0.000000,"\text{Not used}","int(((a + b*x^2)*(e + f*x^2)^(3/2))/(c + d*x^2)^(1/2),x)","\int \frac{\left(b\,x^2+a\right)\,{\left(f\,x^2+e\right)}^{3/2}}{\sqrt{d\,x^2+c}} \,d x","Not used",1,"int(((a + b*x^2)*(e + f*x^2)^(3/2))/(c + d*x^2)^(1/2), x)","F"
31,0,-1,369,0.000000,"\text{Not used}","int(((a + b*x^2)*(e + f*x^2)^(3/2))/(c + d*x^2)^(3/2),x)","\int \frac{\left(b\,x^2+a\right)\,{\left(f\,x^2+e\right)}^{3/2}}{{\left(d\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x^2)*(e + f*x^2)^(3/2))/(c + d*x^2)^(3/2), x)","F"
32,0,-1,373,0.000000,"\text{Not used}","int(((a + b*x^2)*(e + f*x^2)^(3/2))/(c + d*x^2)^(5/2),x)","\int \frac{\left(b\,x^2+a\right)\,{\left(f\,x^2+e\right)}^{3/2}}{{\left(d\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int(((a + b*x^2)*(e + f*x^2)^(3/2))/(c + d*x^2)^(5/2), x)","F"
33,0,-1,376,0.000000,"\text{Not used}","int(((a + b*x^2)*(e + f*x^2)^(3/2))/(c + d*x^2)^(7/2),x)","\int \frac{\left(b\,x^2+a\right)\,{\left(f\,x^2+e\right)}^{3/2}}{{\left(d\,x^2+c\right)}^{7/2}} \,d x","Not used",1,"int(((a + b*x^2)*(e + f*x^2)^(3/2))/(c + d*x^2)^(7/2), x)","F"
34,0,-1,531,0.000000,"\text{Not used}","int(((a + b*x^2)*(e + f*x^2)^(3/2))/(c + d*x^2)^(9/2),x)","\int \frac{\left(b\,x^2+a\right)\,{\left(f\,x^2+e\right)}^{3/2}}{{\left(d\,x^2+c\right)}^{9/2}} \,d x","Not used",1,"int(((a + b*x^2)*(e + f*x^2)^(3/2))/(c + d*x^2)^(9/2), x)","F"
35,0,-1,551,0.000000,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^(5/2))/(e + f*x^2)^(1/2),x)","\int \frac{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{5/2}}{\sqrt{f\,x^2+e}} \,d x","Not used",1,"int(((a + b*x^2)*(c + d*x^2)^(5/2))/(e + f*x^2)^(1/2), x)","F"
36,0,-1,396,0.000000,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^(3/2))/(e + f*x^2)^(1/2),x)","\int \frac{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{3/2}}{\sqrt{f\,x^2+e}} \,d x","Not used",1,"int(((a + b*x^2)*(c + d*x^2)^(3/2))/(e + f*x^2)^(1/2), x)","F"
37,0,-1,282,0.000000,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^(1/2))/(e + f*x^2)^(1/2),x)","\int \frac{\left(b\,x^2+a\right)\,\sqrt{d\,x^2+c}}{\sqrt{f\,x^2+e}} \,d x","Not used",1,"int(((a + b*x^2)*(c + d*x^2)^(1/2))/(e + f*x^2)^(1/2), x)","F"
38,0,-1,206,0.000000,"\text{Not used}","int((a + b*x^2)/((c + d*x^2)^(1/2)*(e + f*x^2)^(1/2)),x)","\int \frac{b\,x^2+a}{\sqrt{d\,x^2+c}\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int((a + b*x^2)/((c + d*x^2)^(1/2)*(e + f*x^2)^(1/2)), x)","F"
39,0,-1,209,0.000000,"\text{Not used}","int((a + b*x^2)/((c + d*x^2)^(3/2)*(e + f*x^2)^(1/2)),x)","\int \frac{b\,x^2+a}{{\left(d\,x^2+c\right)}^{3/2}\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int((a + b*x^2)/((c + d*x^2)^(3/2)*(e + f*x^2)^(1/2)), x)","F"
40,0,-1,284,0.000000,"\text{Not used}","int((a + b*x^2)/((c + d*x^2)^(5/2)*(e + f*x^2)^(1/2)),x)","\int \frac{b\,x^2+a}{{\left(d\,x^2+c\right)}^{5/2}\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int((a + b*x^2)/((c + d*x^2)^(5/2)*(e + f*x^2)^(1/2)), x)","F"
41,0,-1,401,0.000000,"\text{Not used}","int((a + b*x^2)/((c + d*x^2)^(7/2)*(e + f*x^2)^(1/2)),x)","\int \frac{b\,x^2+a}{{\left(d\,x^2+c\right)}^{7/2}\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int((a + b*x^2)/((c + d*x^2)^(7/2)*(e + f*x^2)^(1/2)), x)","F"
42,0,-1,501,0.000000,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^(5/2))/(e + f*x^2)^(3/2),x)","\int \frac{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{5/2}}{{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x^2)*(c + d*x^2)^(5/2))/(e + f*x^2)^(3/2), x)","F"
43,0,-1,358,0.000000,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^(3/2))/(e + f*x^2)^(3/2),x)","\int \frac{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{3/2}}{{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x^2)*(c + d*x^2)^(3/2))/(e + f*x^2)^(3/2), x)","F"
44,0,-1,258,0.000000,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^(1/2))/(e + f*x^2)^(3/2),x)","\int \frac{\left(b\,x^2+a\right)\,\sqrt{d\,x^2+c}}{{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x^2)*(c + d*x^2)^(1/2))/(e + f*x^2)^(3/2), x)","F"
45,0,-1,209,0.000000,"\text{Not used}","int((a + b*x^2)/((c + d*x^2)^(1/2)*(e + f*x^2)^(3/2)),x)","\int \frac{b\,x^2+a}{\sqrt{d\,x^2+c}\,{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x^2)/((c + d*x^2)^(1/2)*(e + f*x^2)^(3/2)), x)","F"
46,0,-1,272,0.000000,"\text{Not used}","int((a + b*x^2)/((c + d*x^2)^(3/2)*(e + f*x^2)^(3/2)),x)","\int \frac{b\,x^2+a}{{\left(d\,x^2+c\right)}^{3/2}\,{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x^2)/((c + d*x^2)^(3/2)*(e + f*x^2)^(3/2)), x)","F"
47,0,-1,375,0.000000,"\text{Not used}","int((a + b*x^2)/((c + d*x^2)^(5/2)*(e + f*x^2)^(3/2)),x)","\int \frac{b\,x^2+a}{{\left(d\,x^2+c\right)}^{5/2}\,{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",1,"int((a + b*x^2)/((c + d*x^2)^(5/2)*(e + f*x^2)^(3/2)), x)","F"
48,0,-1,209,0.000000,"\text{Not used}","int((e + f*x^2)/((a + b*x^2)^(1/2)*(c + d*x^2)^(3/2)),x)","\int \frac{f\,x^2+e}{\sqrt{b\,x^2+a}\,{\left(d\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((e + f*x^2)/((a + b*x^2)^(1/2)*(c + d*x^2)^(3/2)), x)","F"
49,0,-1,247,0.000000,"\text{Not used}","int((e + f*x^2)/((a - b*x^2)^(1/2)*(c + d*x^2)^(3/2)),x)","\int \frac{f\,x^2+e}{\sqrt{a-b\,x^2}\,{\left(d\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((e + f*x^2)/((a - b*x^2)^(1/2)*(c + d*x^2)^(3/2)), x)","F"
50,0,-1,237,0.000000,"\text{Not used}","int((e + f*x^2)/((a + b*x^2)^(1/2)*(c - d*x^2)^(3/2)),x)","\int \frac{f\,x^2+e}{\sqrt{b\,x^2+a}\,{\left(c-d\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((e + f*x^2)/((a + b*x^2)^(1/2)*(c - d*x^2)^(3/2)), x)","F"
51,0,-1,242,0.000000,"\text{Not used}","int((e + f*x^2)/((a - b*x^2)^(1/2)*(c - d*x^2)^(3/2)),x)","\int \frac{f\,x^2+e}{\sqrt{a-b\,x^2}\,{\left(c-d\,x^2\right)}^{3/2}} \,d x","Not used",1,"int((e + f*x^2)/((a - b*x^2)^(1/2)*(c - d*x^2)^(3/2)), x)","F"
52,0,-1,191,0.000000,"\text{Not used}","int((a + b*x^2)/((d*x^2 + 2)^(1/2)*(f*x^2 + 3)^(1/2)),x)","\int \frac{b\,x^2+a}{\sqrt{d\,x^2+2}\,\sqrt{f\,x^2+3}} \,d x","Not used",1,"int((a + b*x^2)/((d*x^2 + 2)^(1/2)*(f*x^2 + 3)^(1/2)), x)","F"
53,0,-1,262,0.000000,"\text{Not used}","int(((a + b*x^2)*(d*x^2 + 2)^(1/2))/(f*x^2 + 3)^(1/2),x)","\int \frac{\left(b\,x^2+a\right)\,\sqrt{d\,x^2+2}}{\sqrt{f\,x^2+3}} \,d x","Not used",1,"int(((a + b*x^2)*(d*x^2 + 2)^(1/2))/(f*x^2 + 3)^(1/2), x)","F"
54,0,-1,356,0.000000,"\text{Not used}","int((a + b*x^2)*(d*x^2 + 2)^(1/2)*(f*x^2 + 3)^(1/2),x)","\int \left(b\,x^2+a\right)\,\sqrt{d\,x^2+2}\,\sqrt{f\,x^2+3} \,d x","Not used",1,"int((a + b*x^2)*(d*x^2 + 2)^(1/2)*(f*x^2 + 3)^(1/2), x)","F"
55,0,-1,113,0.000000,"\text{Not used}","int(-(b - 2*c*x^2 + (b^2 - 4*a*c)^(1/2))/((1 - (2*c*x^2)/(b - (b^2 - 4*a*c)^(1/2)))^(1/2)*(1 - (2*c*x^2)/(b + (b^2 - 4*a*c)^(1/2)))^(1/2)),x)","\int -\frac{b-2\,c\,x^2+\sqrt{b^2-4\,a\,c}}{\sqrt{1-\frac{2\,c\,x^2}{b-\sqrt{b^2-4\,a\,c}}}\,\sqrt{1-\frac{2\,c\,x^2}{b+\sqrt{b^2-4\,a\,c}}}} \,d x","Not used",1,"int(-(b - 2*c*x^2 + (b^2 - 4*a*c)^(1/2))/((1 - (2*c*x^2)/(b - (b^2 - 4*a*c)^(1/2)))^(1/2)*(1 - (2*c*x^2)/(b + (b^2 - 4*a*c)^(1/2)))^(1/2)), x)","F"
56,0,-1,526,0.000000,"\text{Not used}","int((b + 2*c*x^2 - (b^2 - 4*a*c)^(1/2))/(((2*c*x^2)/(b - (b^2 - 4*a*c)^(1/2)) + 1)^(1/2)*((2*c*x^2)/(b + (b^2 - 4*a*c)^(1/2)) + 1)^(1/2)),x)","\int \frac{b+2\,c\,x^2-\sqrt{b^2-4\,a\,c}}{\sqrt{\frac{2\,c\,x^2}{b-\sqrt{b^2-4\,a\,c}}+1}\,\sqrt{\frac{2\,c\,x^2}{b+\sqrt{b^2-4\,a\,c}}+1}} \,d x","Not used",1,"int((b + 2*c*x^2 - (b^2 - 4*a*c)^(1/2))/(((2*c*x^2)/(b - (b^2 - 4*a*c)^(1/2)) + 1)^(1/2)*((2*c*x^2)/(b + (b^2 - 4*a*c)^(1/2)) + 1)^(1/2)), x)","F"
57,0,-1,128,0.000000,"\text{Not used}","int(((a + b*x^2)*(c + d*x^2)^(1/2))/(e + f*x^2),x)","\int \frac{\left(b\,x^2+a\right)\,\sqrt{d\,x^2+c}}{f\,x^2+e} \,d x","Not used",1,"int(((a + b*x^2)*(c + d*x^2)^(1/2))/(e + f*x^2), x)","F"
58,0,-1,304,0.000000,"\text{Not used}","int((a + b*x^2)^3/((c + d*x^2)*(e + f*x^2)^(1/2)),x)","\int \frac{{\left(b\,x^2+a\right)}^3}{\left(d\,x^2+c\right)\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int((a + b*x^2)^3/((c + d*x^2)*(e + f*x^2)^(1/2)), x)","F"
59,0,-1,166,0.000000,"\text{Not used}","int((a + b*x^2)^2/((c + d*x^2)*(e + f*x^2)^(1/2)),x)","\int \frac{{\left(b\,x^2+a\right)}^2}{\left(d\,x^2+c\right)\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int((a + b*x^2)^2/((c + d*x^2)*(e + f*x^2)^(1/2)), x)","F"
60,0,-1,91,0.000000,"\text{Not used}","int((a + b*x^2)/((c + d*x^2)*(e + f*x^2)^(1/2)),x)","\int \frac{b\,x^2+a}{\left(d\,x^2+c\right)\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int((a + b*x^2)/((c + d*x^2)*(e + f*x^2)^(1/2)), x)","F"
61,0,-1,49,0.000000,"\text{Not used}","int(1/((c + d*x^2)*(e + f*x^2)^(1/2)),x)","\left\{\begin{array}{cl} \frac{\mathrm{atan}\left(\frac{x\,\sqrt{d\,e-c\,f}}{\sqrt{c}\,\sqrt{f\,x^2+e}}\right)}{\sqrt{-c\,\left(c\,f-d\,e\right)}} & \text{\ if\ \ }0<d\,e-c\,f\\ \frac{\ln\left(\frac{\sqrt{c\,\left(f\,x^2+e\right)}+x\,\sqrt{c\,f-d\,e}}{\sqrt{c\,\left(f\,x^2+e\right)}-x\,\sqrt{c\,f-d\,e}}\right)}{2\,\sqrt{c\,\left(c\,f-d\,e\right)}} & \text{\ if\ \ }d\,e-c\,f<0\\ \int \frac{1}{\left(d\,x^2+c\right)\,\sqrt{f\,x^2+e}} \,d x & \text{\ if\ \ }d\,e-c\,f\notin \mathbb{R}\vee c\,f=d\,e \end{array}\right.","Not used",1,"piecewise(0 < - c*f + d*e, atan((x*(- c*f + d*e)^(1/2))/(c^(1/2)*(e + f*x^2)^(1/2)))/(-c*(c*f - d*e))^(1/2), - c*f + d*e < 0, log(((c*(e + f*x^2))^(1/2) + x*(c*f - d*e)^(1/2))/((c*(e + f*x^2))^(1/2) - x*(c*f - d*e)^(1/2)))/(2*(c*(c*f - d*e))^(1/2)), ~in(- c*f + d*e, 'real') | c*f == d*e, int(1/((c + d*x^2)*(e + f*x^2)^(1/2)), x))","F"
62,0,-1,122,0.000000,"\text{Not used}","int(1/((a + b*x^2)*(c + d*x^2)*(e + f*x^2)^(1/2)),x)","\int \frac{1}{\left(b\,x^2+a\right)\,\left(d\,x^2+c\right)\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int(1/((a + b*x^2)*(c + d*x^2)*(e + f*x^2)^(1/2)), x)","F"
63,0,-1,203,0.000000,"\text{Not used}","int(1/((a + b*x^2)^2*(c + d*x^2)*(e + f*x^2)^(1/2)),x)","\int \frac{1}{{\left(b\,x^2+a\right)}^2\,\left(d\,x^2+c\right)\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int(1/((a + b*x^2)^2*(c + d*x^2)*(e + f*x^2)^(1/2)), x)","F"
64,0,-1,608,0.000000,"\text{Not used}","int(((c + d*x^2)^(5/2)*(e + f*x^2)^(1/2))/(a + b*x^2),x)","\int \frac{{\left(d\,x^2+c\right)}^{5/2}\,\sqrt{f\,x^2+e}}{b\,x^2+a} \,d x","Not used",1,"int(((c + d*x^2)^(5/2)*(e + f*x^2)^(1/2))/(a + b*x^2), x)","F"
65,0,-1,400,0.000000,"\text{Not used}","int(((c + d*x^2)^(3/2)*(e + f*x^2)^(1/2))/(a + b*x^2),x)","\int \frac{{\left(d\,x^2+c\right)}^{3/2}\,\sqrt{f\,x^2+e}}{b\,x^2+a} \,d x","Not used",1,"int(((c + d*x^2)^(3/2)*(e + f*x^2)^(1/2))/(a + b*x^2), x)","F"
66,0,-1,321,0.000000,"\text{Not used}","int(((c + d*x^2)^(1/2)*(e + f*x^2)^(1/2))/(a + b*x^2),x)","\int \frac{\sqrt{d\,x^2+c}\,\sqrt{f\,x^2+e}}{b\,x^2+a} \,d x","Not used",1,"int(((c + d*x^2)^(1/2)*(e + f*x^2)^(1/2))/(a + b*x^2), x)","F"
67,0,-1,102,0.000000,"\text{Not used}","int((e + f*x^2)^(1/2)/((a + b*x^2)*(c + d*x^2)^(1/2)),x)","\int \frac{\sqrt{f\,x^2+e}}{\left(b\,x^2+a\right)\,\sqrt{d\,x^2+c}} \,d x","Not used",1,"int((e + f*x^2)^(1/2)/((a + b*x^2)*(c + d*x^2)^(1/2)), x)","F"
68,0,-1,209,0.000000,"\text{Not used}","int((e + f*x^2)^(1/2)/((a + b*x^2)*(c + d*x^2)^(3/2)),x)","\int \frac{\sqrt{f\,x^2+e}}{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((e + f*x^2)^(1/2)/((a + b*x^2)*(c + d*x^2)^(3/2)), x)","F"
69,0,-1,401,0.000000,"\text{Not used}","int((e + f*x^2)^(1/2)/((a + b*x^2)*(c + d*x^2)^(5/2)),x)","\int \frac{\sqrt{f\,x^2+e}}{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((e + f*x^2)^(1/2)/((a + b*x^2)*(c + d*x^2)^(5/2)), x)","F"
70,0,-1,630,0.000000,"\text{Not used}","int((e + f*x^2)^(1/2)/((a + b*x^2)*(c + d*x^2)^(7/2)),x)","\int \frac{\sqrt{f\,x^2+e}}{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{7/2}} \,d x","Not used",1,"int((e + f*x^2)^(1/2)/((a + b*x^2)*(c + d*x^2)^(7/2)), x)","F"
71,0,-1,659,0.000000,"\text{Not used}","int(((c + d*x^2)^(3/2)*(e + f*x^2)^(3/2))/(a + b*x^2),x)","\int \frac{{\left(d\,x^2+c\right)}^{3/2}\,{\left(f\,x^2+e\right)}^{3/2}}{b\,x^2+a} \,d x","Not used",1,"int(((c + d*x^2)^(3/2)*(e + f*x^2)^(3/2))/(a + b*x^2), x)","F"
72,0,-1,403,0.000000,"\text{Not used}","int(((c + d*x^2)^(1/2)*(e + f*x^2)^(3/2))/(a + b*x^2),x)","\int \frac{\sqrt{d\,x^2+c}\,{\left(f\,x^2+e\right)}^{3/2}}{b\,x^2+a} \,d x","Not used",1,"int(((c + d*x^2)^(1/2)*(e + f*x^2)^(3/2))/(a + b*x^2), x)","F"
73,0,-1,328,0.000000,"\text{Not used}","int((e + f*x^2)^(3/2)/((a + b*x^2)*(c + d*x^2)^(1/2)),x)","\int \frac{{\left(f\,x^2+e\right)}^{3/2}}{\left(b\,x^2+a\right)\,\sqrt{d\,x^2+c}} \,d x","Not used",1,"int((e + f*x^2)^(3/2)/((a + b*x^2)*(c + d*x^2)^(1/2)), x)","F"
74,0,-1,224,0.000000,"\text{Not used}","int((e + f*x^2)^(3/2)/((a + b*x^2)*(c + d*x^2)^(3/2)),x)","\int \frac{{\left(f\,x^2+e\right)}^{3/2}}{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{3/2}} \,d x","Not used",1,"int((e + f*x^2)^(3/2)/((a + b*x^2)*(c + d*x^2)^(3/2)), x)","F"
75,0,-1,391,0.000000,"\text{Not used}","int((e + f*x^2)^(3/2)/((a + b*x^2)*(c + d*x^2)^(5/2)),x)","\int \frac{{\left(f\,x^2+e\right)}^{3/2}}{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{5/2}} \,d x","Not used",1,"int((e + f*x^2)^(3/2)/((a + b*x^2)*(c + d*x^2)^(5/2)), x)","F"
76,0,-1,639,0.000000,"\text{Not used}","int((e + f*x^2)^(3/2)/((a + b*x^2)*(c + d*x^2)^(7/2)),x)","\int \frac{{\left(f\,x^2+e\right)}^{3/2}}{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{7/2}} \,d x","Not used",1,"int((e + f*x^2)^(3/2)/((a + b*x^2)*(c + d*x^2)^(7/2)), x)","F"
77,0,-1,621,0.000000,"\text{Not used}","int((c + d*x^2)^(5/2)/((a + b*x^2)*(e + f*x^2)^(1/2)),x)","\int \frac{{\left(d\,x^2+c\right)}^{5/2}}{\left(b\,x^2+a\right)\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int((c + d*x^2)^(5/2)/((a + b*x^2)*(e + f*x^2)^(1/2)), x)","F"
78,0,-1,319,0.000000,"\text{Not used}","int((c + d*x^2)^(3/2)/((a + b*x^2)*(e + f*x^2)^(1/2)),x)","\int \frac{{\left(d\,x^2+c\right)}^{3/2}}{\left(b\,x^2+a\right)\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int((c + d*x^2)^(3/2)/((a + b*x^2)*(e + f*x^2)^(1/2)), x)","F"
79,0,-1,102,0.000000,"\text{Not used}","int((c + d*x^2)^(1/2)/((a + b*x^2)*(e + f*x^2)^(1/2)),x)","\int \frac{\sqrt{d\,x^2+c}}{\left(b\,x^2+a\right)\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int((c + d*x^2)^(1/2)/((a + b*x^2)*(e + f*x^2)^(1/2)), x)","F"
80,0,-1,100,0.000000,"\text{Not used}","int(1/((a + b*x^2)*(c + d*x^2)^(1/2)*(e + f*x^2)^(1/2)),x)","\int \frac{1}{\left(b\,x^2+a\right)\,\sqrt{d\,x^2+c}\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int(1/((a + b*x^2)*(c + d*x^2)^(1/2)*(e + f*x^2)^(1/2)), x)","F"
81,0,-1,344,0.000000,"\text{Not used}","int(1/((a + b*x^2)*(c + d*x^2)^(3/2)*(e + f*x^2)^(1/2)),x)","\int \frac{1}{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{3/2}\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int(1/((a + b*x^2)*(c + d*x^2)^(3/2)*(e + f*x^2)^(1/2)), x)","F"
82,0,-1,435,0.000000,"\text{Not used}","int(1/((a + b*x^2)*(c + d*x^2)^(5/2)*(e + f*x^2)^(1/2)),x)","\int \frac{1}{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{5/2}\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int(1/((a + b*x^2)*(c + d*x^2)^(5/2)*(e + f*x^2)^(1/2)), x)","F"
83,0,-1,980,0.000000,"\text{Not used}","int((c + d*x^2)^(5/2)/((a + b*x^2)*(e + f*x^2)^(3/2)),x)","\int \frac{{\left(d\,x^2+c\right)}^{5/2}}{\left(b\,x^2+a\right)\,{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x^2)^(5/2)/((a + b*x^2)*(e + f*x^2)^(3/2)), x)","F"
84,0,-1,223,0.000000,"\text{Not used}","int((c + d*x^2)^(3/2)/((a + b*x^2)*(e + f*x^2)^(3/2)),x)","\int \frac{{\left(d\,x^2+c\right)}^{3/2}}{\left(b\,x^2+a\right)\,{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x^2)^(3/2)/((a + b*x^2)*(e + f*x^2)^(3/2)), x)","F"
85,0,-1,209,0.000000,"\text{Not used}","int((c + d*x^2)^(1/2)/((a + b*x^2)*(e + f*x^2)^(3/2)),x)","\int \frac{\sqrt{d\,x^2+c}}{\left(b\,x^2+a\right)\,{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x^2)^(1/2)/((a + b*x^2)*(e + f*x^2)^(3/2)), x)","F"
86,0,-1,344,0.000000,"\text{Not used}","int(1/((a + b*x^2)*(c + d*x^2)^(1/2)*(e + f*x^2)^(3/2)),x)","\int \frac{1}{\left(b\,x^2+a\right)\,\sqrt{d\,x^2+c}\,{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",1,"int(1/((a + b*x^2)*(c + d*x^2)^(1/2)*(e + f*x^2)^(3/2)), x)","F"
87,0,-1,539,0.000000,"\text{Not used}","int(1/((a + b*x^2)*(c + d*x^2)^(3/2)*(e + f*x^2)^(3/2)),x)","\int \frac{1}{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{3/2}\,{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",1,"int(1/((a + b*x^2)*(c + d*x^2)^(3/2)*(e + f*x^2)^(3/2)), x)","F"
88,0,-1,814,0.000000,"\text{Not used}","int(1/((a + b*x^2)*(c + d*x^2)^(5/2)*(e + f*x^2)^(3/2)),x)","\int \frac{1}{\left(b\,x^2+a\right)\,{\left(d\,x^2+c\right)}^{5/2}\,{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",1,"int(1/((a + b*x^2)*(c + d*x^2)^(5/2)*(e + f*x^2)^(3/2)), x)","F"
89,0,-1,242,0.000000,"\text{Not used}","int(((x^2 + 1)^(3/2)*(x^2 + 2)^(1/2))/(a + b*x^2),x)","\int \frac{{\left(x^2+1\right)}^{3/2}\,\sqrt{x^2+2}}{b\,x^2+a} \,d x","Not used",1,"int(((x^2 + 1)^(3/2)*(x^2 + 2)^(1/2))/(a + b*x^2), x)","F"
90,0,-1,192,0.000000,"\text{Not used}","int(((x^2 + 1)^(1/2)*(x^2 + 2)^(1/2))/(a + b*x^2),x)","\int \frac{\sqrt{x^2+1}\,\sqrt{x^2+2}}{b\,x^2+a} \,d x","Not used",1,"int(((x^2 + 1)^(1/2)*(x^2 + 2)^(1/2))/(a + b*x^2), x)","F"
91,0,-1,58,0.000000,"\text{Not used}","int((x^2 + 2)^(1/2)/((x^2 + 1)^(1/2)*(a + b*x^2)),x)","\int \frac{\sqrt{x^2+2}}{\sqrt{x^2+1}\,\left(b\,x^2+a\right)} \,d x","Not used",1,"int((x^2 + 2)^(1/2)/((x^2 + 1)^(1/2)*(a + b*x^2)), x)","F"
92,0,-1,121,0.000000,"\text{Not used}","int((x^2 + 2)^(1/2)/((x^2 + 1)^(3/2)*(a + b*x^2)),x)","\int \frac{\sqrt{x^2+2}}{{\left(x^2+1\right)}^{3/2}\,\left(b\,x^2+a\right)} \,d x","Not used",1,"int((x^2 + 2)^(1/2)/((x^2 + 1)^(3/2)*(a + b*x^2)), x)","F"
93,0,-1,215,0.000000,"\text{Not used}","int((x^2 + 2)^(1/2)/((x^2 + 1)^(5/2)*(a + b*x^2)),x)","\int \frac{\sqrt{x^2+2}}{{\left(x^2+1\right)}^{5/2}\,\left(b\,x^2+a\right)} \,d x","Not used",1,"int((x^2 + 2)^(1/2)/((x^2 + 1)^(5/2)*(a + b*x^2)), x)","F"
94,0,-1,298,0.000000,"\text{Not used}","int(((d*x^2 + 2)^(1/2)*(f*x^2 + 3)^(1/2))/(a + b*x^2),x)","\int \frac{\sqrt{d\,x^2+2}\,\sqrt{f\,x^2+3}}{b\,x^2+a} \,d x","Not used",1,"int(((d*x^2 + 2)^(1/2)*(f*x^2 + 3)^(1/2))/(a + b*x^2), x)","F"
95,0,-1,93,0.000000,"\text{Not used}","int((d*x^2 + 2)^(1/2)/((a + b*x^2)*(f*x^2 + 3)^(1/2)),x)","\int \frac{\sqrt{d\,x^2+2}}{\left(b\,x^2+a\right)\,\sqrt{f\,x^2+3}} \,d x","Not used",1,"int((d*x^2 + 2)^(1/2)/((a + b*x^2)*(f*x^2 + 3)^(1/2)), x)","F"
96,0,-1,49,0.000000,"\text{Not used}","int(1/((a + b*x^2)*(d*x^2 + 2)^(1/2)*(f*x^2 + 3)^(1/2)),x)","\int \frac{1}{\left(b\,x^2+a\right)\,\sqrt{d\,x^2+2}\,\sqrt{f\,x^2+3}} \,d x","Not used",1,"int(1/((a + b*x^2)*(d*x^2 + 2)^(1/2)*(f*x^2 + 3)^(1/2)), x)","F"
97,0,-1,36,0.000000,"\text{Not used}","int(-1/((1 - x^2)^(1/2)*(a + b*x^2)^(1/2)),x)","-\int \frac{1}{\sqrt{1-x^2}\,\sqrt{b\,x^2+a}} \,d x","Not used",1,"-int(1/((1 - x^2)^(1/2)*(a + b*x^2)^(1/2)), x)","F"
98,0,-1,113,0.000000,"\text{Not used}","int((a + b*x^2)/((c + d*x^2)^(1/2)*(e + f*x^2)^2),x)","\int \frac{b\,x^2+a}{\sqrt{d\,x^2+c}\,{\left(f\,x^2+e\right)}^2} \,d x","Not used",1,"int((a + b*x^2)/((c + d*x^2)^(1/2)*(e + f*x^2)^2), x)","F"
99,0,-1,359,0.000000,"\text{Not used}","int(((c - d*x^2)^(1/2)*(e + f*x^2)^(1/2))/(a + b*x^2)^2,x)","\int \frac{\sqrt{c-d\,x^2}\,\sqrt{f\,x^2+e}}{{\left(b\,x^2+a\right)}^2} \,d x","Not used",1,"int(((c - d*x^2)^(1/2)*(e + f*x^2)^(1/2))/(a + b*x^2)^2, x)","F"
100,0,-1,381,0.000000,"\text{Not used}","int(((c + d*x^2)^(1/2)*(e + f*x^2)^(1/2))/(a + b*x^2)^2,x)","\int \frac{\sqrt{d\,x^2+c}\,\sqrt{f\,x^2+e}}{{\left(b\,x^2+a\right)}^2} \,d x","Not used",1,"int(((c + d*x^2)^(1/2)*(e + f*x^2)^(1/2))/(a + b*x^2)^2, x)","F"
101,0,-1,426,0.000000,"\text{Not used}","int(1/((a + b*x^2)^2*(c - d*x^2)^(1/2)*(e + f*x^2)^(1/2)),x)","\int \frac{1}{{\left(b\,x^2+a\right)}^2\,\sqrt{c-d\,x^2}\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int(1/((a + b*x^2)^2*(c - d*x^2)^(1/2)*(e + f*x^2)^(1/2)), x)","F"
102,0,-1,485,0.000000,"\text{Not used}","int(1/((a + b*x^2)^2*(c + d*x^2)^(1/2)*(e + f*x^2)^(1/2)),x)","\int \frac{1}{{\left(b\,x^2+a\right)}^2\,\sqrt{d\,x^2+c}\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int(1/((a + b*x^2)^2*(c + d*x^2)^(1/2)*(e + f*x^2)^(1/2)), x)","F"
103,0,-1,37,0.000000,"\text{Not used}","int(((a + b*x^2)^(3/2)*(c + d*x^2)^(1/2))/(e + f*x^2)^(1/2),x)","\int \frac{{\left(b\,x^2+a\right)}^{3/2}\,\sqrt{d\,x^2+c}}{\sqrt{f\,x^2+e}} \,d x","Not used",0,"int(((a + b*x^2)^(3/2)*(c + d*x^2)^(1/2))/(e + f*x^2)^(1/2), x)","F"
104,0,-1,545,0.000000,"\text{Not used}","int(((a + b*x^2)^(1/2)*(c + d*x^2)^(1/2))/(e + f*x^2)^(1/2),x)","\int \frac{\sqrt{b\,x^2+a}\,\sqrt{d\,x^2+c}}{\sqrt{f\,x^2+e}} \,d x","Not used",1,"int(((a + b*x^2)^(1/2)*(c + d*x^2)^(1/2))/(e + f*x^2)^(1/2), x)","F"
105,0,-1,163,0.000000,"\text{Not used}","int((c + d*x^2)^(1/2)/((a + b*x^2)^(1/2)*(e + f*x^2)^(1/2)),x)","\int \frac{\sqrt{d\,x^2+c}}{\sqrt{b\,x^2+a}\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int((c + d*x^2)^(1/2)/((a + b*x^2)^(1/2)*(e + f*x^2)^(1/2)), x)","F"
106,0,-1,148,0.000000,"\text{Not used}","int((c + d*x^2)^(1/2)/((a + b*x^2)^(3/2)*(e + f*x^2)^(1/2)),x)","\int \frac{\sqrt{d\,x^2+c}}{{\left(b\,x^2+a\right)}^{3/2}\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int((c + d*x^2)^(1/2)/((a + b*x^2)^(3/2)*(e + f*x^2)^(1/2)), x)","F"
107,0,-1,37,0.000000,"\text{Not used}","int(((a + b*x^2)^(3/2)*(c + d*x^2)^(1/2))/(e + f*x^2)^(3/2),x)","\int \frac{{\left(b\,x^2+a\right)}^{3/2}\,\sqrt{d\,x^2+c}}{{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",0,"int(((a + b*x^2)^(3/2)*(c + d*x^2)^(1/2))/(e + f*x^2)^(3/2), x)","F"
108,0,-1,484,0.000000,"\text{Not used}","int(((a + b*x^2)^(1/2)*(c + d*x^2)^(1/2))/(e + f*x^2)^(3/2),x)","\int \frac{\sqrt{b\,x^2+a}\,\sqrt{d\,x^2+c}}{{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",1,"int(((a + b*x^2)^(1/2)*(c + d*x^2)^(1/2))/(e + f*x^2)^(3/2), x)","F"
109,0,-1,319,0.000000,"\text{Not used}","int((c + d*x^2)^(1/2)/((a + b*x^2)^(1/2)*(e + f*x^2)^(3/2)),x)","\int \frac{\sqrt{d\,x^2+c}}{\sqrt{b\,x^2+a}\,{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",1,"int((c + d*x^2)^(1/2)/((a + b*x^2)^(1/2)*(e + f*x^2)^(3/2)), x)","F"
110,0,-1,37,0.000000,"\text{Not used}","int((c + d*x^2)^(1/2)/((a + b*x^2)^(3/2)*(e + f*x^2)^(3/2)),x)","\int \frac{\sqrt{d\,x^2+c}}{{\left(b\,x^2+a\right)}^{3/2}\,{\left(f\,x^2+e\right)}^{3/2}} \,d x","Not used",0,"int((c + d*x^2)^(1/2)/((a + b*x^2)^(3/2)*(e + f*x^2)^(3/2)), x)","F"
111,0,-1,541,0.000000,"\text{Not used}","int(((c + d*x^2)^(1/2)*(e + f*x^2)^(1/2))/(a + b*x^2)^(1/2),x)","\int \frac{\sqrt{d\,x^2+c}\,\sqrt{f\,x^2+e}}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(((c + d*x^2)^(1/2)*(e + f*x^2)^(1/2))/(a + b*x^2)^(1/2), x)","F"
112,0,-1,37,0.000000,"\text{Not used}","int((a + b*x^2)^(3/2)/((c + d*x^2)^(1/2)*(e + f*x^2)^(1/2)),x)","\int \frac{{\left(b\,x^2+a\right)}^{3/2}}{\sqrt{d\,x^2+c}\,\sqrt{f\,x^2+e}} \,d x","Not used",0,"int((a + b*x^2)^(3/2)/((c + d*x^2)^(1/2)*(e + f*x^2)^(1/2)), x)","F"
113,0,-1,159,0.000000,"\text{Not used}","int((a + b*x^2)^(1/2)/((c + d*x^2)^(1/2)*(e + f*x^2)^(1/2)),x)","\int \frac{\sqrt{b\,x^2+a}}{\sqrt{d\,x^2+c}\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int((a + b*x^2)^(1/2)/((c + d*x^2)^(1/2)*(e + f*x^2)^(1/2)), x)","F"
114,0,-1,148,0.000000,"\text{Not used}","int(1/((a + b*x^2)^(1/2)*(c + d*x^2)^(1/2)*(e + f*x^2)^(1/2)),x)","\int \frac{1}{\sqrt{b\,x^2+a}\,\sqrt{d\,x^2+c}\,\sqrt{f\,x^2+e}} \,d x","Not used",1,"int(1/((a + b*x^2)^(1/2)*(c + d*x^2)^(1/2)*(e + f*x^2)^(1/2)), x)","F"
115,0,-1,37,0.000000,"\text{Not used}","int(1/((a + b*x^2)^(3/2)*(c + d*x^2)^(1/2)*(e + f*x^2)^(1/2)),x)","\int \frac{1}{{\left(b\,x^2+a\right)}^{3/2}\,\sqrt{d\,x^2+c}\,\sqrt{f\,x^2+e}} \,d x","Not used",0,"int(1/((a + b*x^2)^(3/2)*(c + d*x^2)^(1/2)*(e + f*x^2)^(1/2)), x)","F"