1,0,-1,236,0.000000,"\text{Not used}","int((d^2 - e^2*x^2)^(1/2)*(d + e*x)^2*(A + B*x + C*x^2),x)","\int \sqrt{d^2-e^2\,x^2}\,{\left(d+e\,x\right)}^2\,\left(C\,x^2+B\,x+A\right) \,d x","Not used",1,"int((d^2 - e^2*x^2)^(1/2)*(d + e*x)^2*(A + B*x + C*x^2), x)","F"
2,0,-1,186,0.000000,"\text{Not used}","int((d^2 - e^2*x^2)^(1/2)*(d + e*x)*(A + B*x + C*x^2),x)","\int \sqrt{d^2-e^2\,x^2}\,\left(d+e\,x\right)\,\left(C\,x^2+B\,x+A\right) \,d x","Not used",1,"int((d^2 - e^2*x^2)^(1/2)*(d + e*x)*(A + B*x + C*x^2), x)","F"
3,0,-1,125,0.000000,"\text{Not used}","int((d^2 - e^2*x^2)^(1/2)*(A + B*x + C*x^2),x)","\int \sqrt{d^2-e^2\,x^2}\,\left(C\,x^2+B\,x+A\right) \,d x","Not used",1,"int((d^2 - e^2*x^2)^(1/2)*(A + B*x + C*x^2), x)","F"
4,0,-1,148,0.000000,"\text{Not used}","int(((d^2 - e^2*x^2)^(1/2)*(A + B*x + C*x^2))/(d + e*x),x)","\int \frac{\sqrt{d^2-e^2\,x^2}\,\left(C\,x^2+B\,x+A\right)}{d+e\,x} \,d x","Not used",1,"int(((d^2 - e^2*x^2)^(1/2)*(A + B*x + C*x^2))/(d + e*x), x)","F"
5,0,-1,170,0.000000,"\text{Not used}","int(((d^2 - e^2*x^2)^(1/2)*(A + B*x + C*x^2))/(d + e*x)^2,x)","\int \frac{\sqrt{d^2-e^2\,x^2}\,\left(C\,x^2+B\,x+A\right)}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int(((d^2 - e^2*x^2)^(1/2)*(A + B*x + C*x^2))/(d + e*x)^2, x)","F"
6,0,-1,149,0.000000,"\text{Not used}","int(((d^2 - e^2*x^2)^(1/2)*(A + B*x + C*x^2))/(d + e*x)^3,x)","\int \frac{\sqrt{d^2-e^2\,x^2}\,\left(C\,x^2+B\,x+A\right)}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int(((d^2 - e^2*x^2)^(1/2)*(A + B*x + C*x^2))/(d + e*x)^3, x)","F"
7,0,-1,196,0.000000,"\text{Not used}","int(((d^2 - e^2*x^2)^(1/2)*(A + B*x + C*x^2))/(d + e*x)^4,x)","\int \frac{\sqrt{d^2-e^2\,x^2}\,\left(C\,x^2+B\,x+A\right)}{{\left(d+e\,x\right)}^4} \,d x","Not used",1,"int(((d^2 - e^2*x^2)^(1/2)*(A + B*x + C*x^2))/(d + e*x)^4, x)","F"
8,1,601,180,4.670157,"\text{Not used}","int(((d^2 - e^2*x^2)^(1/2)*(A + B*x + C*x^2))/(d + e*x)^5,x)","\frac{B\,\sqrt{d^2-e^2\,x^2}}{21\,\left(d^3\,e^2+x\,d^2\,e^3\right)}-\frac{3\,B\,\sqrt{d^2-e^2\,x^2}}{7\,\left(d^3\,e^2+3\,d^2\,e^3\,x+3\,d\,e^4\,x^2+e^5\,x^3\right)}+\frac{2\,A\,\sqrt{d^2-e^2\,x^2}}{105\,\left(d^4\,e+2\,d^3\,e^2\,x+d^2\,e^3\,x^2\right)}+\frac{B\,\sqrt{d^2-e^2\,x^2}}{21\,\left(d^3\,e^2+2\,d^2\,e^3\,x+d\,e^4\,x^2\right)}-\frac{82\,C\,\sqrt{d^2-e^2\,x^2}}{105\,\left(d^2\,e^3+2\,d\,e^4\,x+e^5\,x^2\right)}+\frac{2\,A\,\sqrt{d^2-e^2\,x^2}}{105\,\left(d^4\,e+x\,d^3\,e^2\right)}+\frac{23\,C\,\sqrt{d^2-e^2\,x^2}}{105\,\left(d^2\,e^3+x\,d\,e^4\right)}-\frac{2\,A\,\sqrt{d^2-e^2\,x^2}}{7\,\left(d^4\,e+4\,d^3\,e^2\,x+6\,d^2\,e^3\,x^2+4\,d\,e^4\,x^3+e^5\,x^4\right)}+\frac{A\,\sqrt{d^2-e^2\,x^2}}{35\,\left(d^4\,e+3\,d^3\,e^2\,x+3\,d^2\,e^3\,x^2+d\,e^4\,x^3\right)}-\frac{2\,C\,d^2\,\sqrt{d^2-e^2\,x^2}}{7\,\left(d^4\,e^3+4\,d^3\,e^4\,x+6\,d^2\,e^5\,x^2+4\,d\,e^6\,x^3+e^7\,x^4\right)}+\frac{2\,B\,d\,\sqrt{d^2-e^2\,x^2}}{7\,\left(d^4\,e^2+4\,d^3\,e^3\,x+6\,d^2\,e^4\,x^2+4\,d\,e^5\,x^3+e^6\,x^4\right)}+\frac{29\,C\,d\,\sqrt{d^2-e^2\,x^2}}{35\,\left(d^3\,e^3+3\,d^2\,e^4\,x+3\,d\,e^5\,x^2+e^6\,x^3\right)}","Not used",1,"(B*(d^2 - e^2*x^2)^(1/2))/(21*(d^3*e^2 + d^2*e^3*x)) - (3*B*(d^2 - e^2*x^2)^(1/2))/(7*(d^3*e^2 + e^5*x^3 + 3*d^2*e^3*x + 3*d*e^4*x^2)) + (2*A*(d^2 - e^2*x^2)^(1/2))/(105*(d^4*e + 2*d^3*e^2*x + d^2*e^3*x^2)) + (B*(d^2 - e^2*x^2)^(1/2))/(21*(d^3*e^2 + 2*d^2*e^3*x + d*e^4*x^2)) - (82*C*(d^2 - e^2*x^2)^(1/2))/(105*(d^2*e^3 + e^5*x^2 + 2*d*e^4*x)) + (2*A*(d^2 - e^2*x^2)^(1/2))/(105*(d^4*e + d^3*e^2*x)) + (23*C*(d^2 - e^2*x^2)^(1/2))/(105*(d^2*e^3 + d*e^4*x)) - (2*A*(d^2 - e^2*x^2)^(1/2))/(7*(d^4*e + e^5*x^4 + 4*d^3*e^2*x + 4*d*e^4*x^3 + 6*d^2*e^3*x^2)) + (A*(d^2 - e^2*x^2)^(1/2))/(35*(d^4*e + 3*d^3*e^2*x + d*e^4*x^3 + 3*d^2*e^3*x^2)) - (2*C*d^2*(d^2 - e^2*x^2)^(1/2))/(7*(d^4*e^3 + e^7*x^4 + 4*d^3*e^4*x + 4*d*e^6*x^3 + 6*d^2*e^5*x^2)) + (2*B*d*(d^2 - e^2*x^2)^(1/2))/(7*(d^4*e^2 + e^6*x^4 + 4*d^3*e^3*x + 4*d*e^5*x^3 + 6*d^2*e^4*x^2)) + (29*C*d*(d^2 - e^2*x^2)^(1/2))/(35*(d^3*e^3 + e^6*x^3 + 3*d^2*e^4*x + 3*d*e^5*x^2))","B"
9,1,960,234,5.242635,"\text{Not used}","int(((d^2 - e^2*x^2)^(1/2)*(A + B*x + C*x^2))/(d + e*x)^6,x)","\frac{B\,\sqrt{d^2-e^2\,x^2}}{63\,\left(d^4\,e^2+x\,d^3\,e^3\right)}+\frac{C\,\sqrt{d^2-e^2\,x^2}}{135\,\left(d^3\,e^3+x\,d^2\,e^4\right)}-\frac{19\,B\,\sqrt{d^2-e^2\,x^2}}{63\,\left(d^4\,e^2+4\,d^3\,e^3\,x+6\,d^2\,e^4\,x^2+4\,d\,e^5\,x^3+e^6\,x^4\right)}+\frac{A\,\sqrt{d^2-e^2\,x^2}}{105\,\left(d^5\,e+3\,d^4\,e^2\,x+3\,d^3\,e^3\,x^2+d^2\,e^4\,x^3\right)}+\frac{2\,B\,\sqrt{d^2-e^2\,x^2}}{105\,\left(d^4\,e^2+3\,d^3\,e^3\,x+3\,d^2\,e^4\,x^2+d\,e^5\,x^3\right)}-\frac{47\,C\,\sqrt{d^2-e^2\,x^2}}{105\,\left(d^3\,e^3+3\,d^2\,e^4\,x+3\,d\,e^5\,x^2+e^6\,x^3\right)}+\frac{2\,A\,\sqrt{d^2-e^2\,x^2}}{315\,\left(d^5\,e+2\,d^4\,e^2\,x+d^3\,e^3\,x^2\right)}+\frac{11\,C\,\sqrt{d^2-e^2\,x^2}}{315\,\left(d^3\,e^3+2\,d^2\,e^4\,x+d\,e^5\,x^2\right)}-\frac{2\,A\,\sqrt{d^2-e^2\,x^2}}{9\,\left(d^5\,e+5\,d^4\,e^2\,x+10\,d^3\,e^3\,x^2+10\,d^2\,e^4\,x^3+5\,d\,e^5\,x^4+e^6\,x^5\right)}+\frac{A\,\sqrt{d^2-e^2\,x^2}}{63\,\left(d^5\,e+4\,d^4\,e^2\,x+6\,d^3\,e^3\,x^2+4\,d^2\,e^4\,x^3+d\,e^5\,x^4\right)}-\frac{2\,A\,\sqrt{d^2-e^2\,x^2}}{945\,\left(d^5\,e+x\,d^4\,e^2\right)}+\frac{4\,B\,\sqrt{d^2-e^2\,x^2}}{315\,\left(d^4\,e^2+2\,d^3\,e^3\,x+d^2\,e^4\,x^2\right)}+\frac{2\,B\,d\,\sqrt{d^2-e^2\,x^2}}{9\,\left(d^5\,e^2+5\,d^4\,e^3\,x+10\,d^3\,e^4\,x^2+10\,d^2\,e^5\,x^3+5\,d\,e^6\,x^4+e^7\,x^5\right)}+\frac{37\,C\,d\,\sqrt{d^2-e^2\,x^2}}{63\,\left(d^4\,e^3+4\,d^3\,e^4\,x+6\,d^2\,e^5\,x^2+4\,d\,e^6\,x^3+e^7\,x^4\right)}-\frac{2\,C\,d^2\,\sqrt{d^2-e^2\,x^2}}{9\,\left(d^5\,e^3+5\,d^4\,e^4\,x+10\,d^3\,e^5\,x^2+10\,d^2\,e^6\,x^3+5\,d\,e^7\,x^4+e^8\,x^5\right)}+\frac{8\,A\,e^2\,\sqrt{d^2-e^2\,x^2}}{945\,\left(d^5\,e^3+x\,d^4\,e^4\right)}+\frac{26\,C\,d^2\,\sqrt{d^2-e^2\,x^2}}{945\,\left(d^5\,e^3+x\,d^4\,e^4\right)}-\frac{B\,d\,e\,\sqrt{d^2-e^2\,x^2}}{315\,\left(d^5\,e^3+x\,d^4\,e^4\right)}","Not used",1,"(B*(d^2 - e^2*x^2)^(1/2))/(63*(d^4*e^2 + d^3*e^3*x)) + (C*(d^2 - e^2*x^2)^(1/2))/(135*(d^3*e^3 + d^2*e^4*x)) - (19*B*(d^2 - e^2*x^2)^(1/2))/(63*(d^4*e^2 + e^6*x^4 + 4*d^3*e^3*x + 4*d*e^5*x^3 + 6*d^2*e^4*x^2)) + (A*(d^2 - e^2*x^2)^(1/2))/(105*(d^5*e + 3*d^4*e^2*x + 3*d^3*e^3*x^2 + d^2*e^4*x^3)) + (2*B*(d^2 - e^2*x^2)^(1/2))/(105*(d^4*e^2 + 3*d^3*e^3*x + d*e^5*x^3 + 3*d^2*e^4*x^2)) - (47*C*(d^2 - e^2*x^2)^(1/2))/(105*(d^3*e^3 + e^6*x^3 + 3*d^2*e^4*x + 3*d*e^5*x^2)) + (2*A*(d^2 - e^2*x^2)^(1/2))/(315*(d^5*e + 2*d^4*e^2*x + d^3*e^3*x^2)) + (11*C*(d^2 - e^2*x^2)^(1/2))/(315*(d^3*e^3 + 2*d^2*e^4*x + d*e^5*x^2)) - (2*A*(d^2 - e^2*x^2)^(1/2))/(9*(d^5*e + e^6*x^5 + 5*d^4*e^2*x + 5*d*e^5*x^4 + 10*d^3*e^3*x^2 + 10*d^2*e^4*x^3)) + (A*(d^2 - e^2*x^2)^(1/2))/(63*(d^5*e + 4*d^4*e^2*x + d*e^5*x^4 + 6*d^3*e^3*x^2 + 4*d^2*e^4*x^3)) - (2*A*(d^2 - e^2*x^2)^(1/2))/(945*(d^5*e + d^4*e^2*x)) + (4*B*(d^2 - e^2*x^2)^(1/2))/(315*(d^4*e^2 + 2*d^3*e^3*x + d^2*e^4*x^2)) + (2*B*d*(d^2 - e^2*x^2)^(1/2))/(9*(d^5*e^2 + e^7*x^5 + 5*d^4*e^3*x + 5*d*e^6*x^4 + 10*d^3*e^4*x^2 + 10*d^2*e^5*x^3)) + (37*C*d*(d^2 - e^2*x^2)^(1/2))/(63*(d^4*e^3 + e^7*x^4 + 4*d^3*e^4*x + 4*d*e^6*x^3 + 6*d^2*e^5*x^2)) - (2*C*d^2*(d^2 - e^2*x^2)^(1/2))/(9*(d^5*e^3 + e^8*x^5 + 5*d^4*e^4*x + 5*d*e^7*x^4 + 10*d^3*e^5*x^2 + 10*d^2*e^6*x^3)) + (8*A*e^2*(d^2 - e^2*x^2)^(1/2))/(945*(d^5*e^3 + d^4*e^4*x)) + (26*C*d^2*(d^2 - e^2*x^2)^(1/2))/(945*(d^5*e^3 + d^4*e^4*x)) - (B*d*e*(d^2 - e^2*x^2)^(1/2))/(315*(d^5*e^3 + d^4*e^4*x))","B"
10,0,-1,236,0.000000,"\text{Not used}","int(((d + e*x)^3*(A + B*x + C*x^2))/(d^2 - e^2*x^2)^(1/2),x)","\int \frac{{\left(d+e\,x\right)}^3\,\left(C\,x^2+B\,x+A\right)}{\sqrt{d^2-e^2\,x^2}} \,d x","Not used",1,"int(((d + e*x)^3*(A + B*x + C*x^2))/(d^2 - e^2*x^2)^(1/2), x)","F"
11,0,-1,191,0.000000,"\text{Not used}","int(((d + e*x)^2*(A + B*x + C*x^2))/(d^2 - e^2*x^2)^(1/2),x)","\int \frac{{\left(d+e\,x\right)}^2\,\left(C\,x^2+B\,x+A\right)}{\sqrt{d^2-e^2\,x^2}} \,d x","Not used",1,"int(((d + e*x)^2*(A + B*x + C*x^2))/(d^2 - e^2*x^2)^(1/2), x)","F"
12,1,270,143,5.012450,"\text{Not used}","int(((d + e*x)*(A + B*x + C*x^2))/(d^2 - e^2*x^2)^(1/2),x)","\left\{\begin{array}{cl} \frac{2\,C\,d\,x^3+3\,B\,d\,x^2+6\,A\,d\,x}{6\,\sqrt{d^2}} & \text{\ if\ \ }e=0\\ \frac{A\,d\,\ln\left(x\,\sqrt{-e^2}+\sqrt{d^2-e^2\,x^2}\right)}{\sqrt{-e^2}}-\frac{A\,\sqrt{d^2-e^2\,x^2}}{e}-\frac{B\,d\,\sqrt{d^2-e^2\,x^2}}{e^2}-\frac{B\,x\,\sqrt{d^2-e^2\,x^2}}{2\,e}-\frac{C\,\sqrt{d^2-e^2\,x^2}\,\left(2\,d^2+e^2\,x^2\right)}{3\,e^3}-\frac{C\,d^3\,\ln\left(2\,x\,\sqrt{-e^2}+2\,\sqrt{d^2-e^2\,x^2}\right)}{2\,{\left(-e^2\right)}^{3/2}}-\frac{B\,d^2\,e\,\ln\left(2\,x\,\sqrt{-e^2}+2\,\sqrt{d^2-e^2\,x^2}\right)}{2\,{\left(-e^2\right)}^{3/2}}-\frac{C\,d\,x\,\sqrt{d^2-e^2\,x^2}}{2\,e^2} & \text{\ if\ \ }e\neq 0 \end{array}\right.","Not used",1,"piecewise(e == 0, (6*A*d*x + 3*B*d*x^2 + 2*C*d*x^3)/(6*(d^2)^(1/2)), e ~= 0, - (A*(d^2 - e^2*x^2)^(1/2))/e + (A*d*log(x*(-e^2)^(1/2) + (d^2 - e^2*x^2)^(1/2)))/(-e^2)^(1/2) - (B*d*(d^2 - e^2*x^2)^(1/2))/e^2 - (B*x*(d^2 - e^2*x^2)^(1/2))/(2*e) - (C*(d^2 - e^2*x^2)^(1/2)*(2*d^2 + e^2*x^2))/(3*e^3) - (C*d^3*log(2*x*(-e^2)^(1/2) + 2*(d^2 - e^2*x^2)^(1/2)))/(2*(-e^2)^(3/2)) - (B*d^2*e*log(2*x*(-e^2)^(1/2) + 2*(d^2 - e^2*x^2)^(1/2)))/(2*(-e^2)^(3/2)) - (C*d*x*(d^2 - e^2*x^2)^(1/2))/(2*e^2))","B"
13,1,148,87,4.399287,"\text{Not used}","int((A + B*x + C*x^2)/(d^2 - e^2*x^2)^(1/2),x)","\left\{\begin{array}{cl} \frac{2\,C\,x^3+3\,B\,x^2+6\,A\,x}{6\,\sqrt{d^2}} & \text{\ if\ \ }e=0\\ \frac{A\,\ln\left(x\,\sqrt{-e^2}+\sqrt{d^2-e^2\,x^2}\right)}{\sqrt{-e^2}}-\frac{B\,\sqrt{d^2-e^2\,x^2}}{e^2}-\frac{C\,x\,\sqrt{d^2-e^2\,x^2}}{2\,e^2}-\frac{C\,d^2\,\ln\left(2\,x\,\sqrt{-e^2}+2\,\sqrt{d^2-e^2\,x^2}\right)}{2\,{\left(-e^2\right)}^{3/2}} & \text{\ if\ \ }e\neq 0 \end{array}\right.","Not used",1,"piecewise(e == 0, (6*A*x + 3*B*x^2 + 2*C*x^3)/(6*(d^2)^(1/2)), e ~= 0, (A*log(x*(-e^2)^(1/2) + (d^2 - e^2*x^2)^(1/2)))/(-e^2)^(1/2) - (B*(d^2 - e^2*x^2)^(1/2))/e^2 - (C*x*(d^2 - e^2*x^2)^(1/2))/(2*e^2) - (C*d^2*log(2*x*(-e^2)^(1/2) + 2*(d^2 - e^2*x^2)^(1/2)))/(2*(-e^2)^(3/2)))","B"
14,0,-1,103,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((d^2 - e^2*x^2)^(1/2)*(d + e*x)),x)","\int \frac{C\,x^2+B\,x+A}{\sqrt{d^2-e^2\,x^2}\,\left(d+e\,x\right)} \,d x","Not used",1,"int((A + B*x + C*x^2)/((d^2 - e^2*x^2)^(1/2)*(d + e*x)), x)","F"
15,0,-1,163,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((d^2 - e^2*x^2)^(1/2)*(d + e*x)^2),x)","\int \frac{C\,x^2+B\,x+A}{\sqrt{d^2-e^2\,x^2}\,{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int((A + B*x + C*x^2)/((d^2 - e^2*x^2)^(1/2)*(d + e*x)^2), x)","F"
16,1,109,180,3.795476,"\text{Not used}","int((A + B*x + C*x^2)/((d^2 - e^2*x^2)^(1/2)*(d + e*x)^3),x)","-\frac{\sqrt{d^2-e^2\,x^2}\,\left(2\,C\,d^4+6\,C\,d^3\,e\,x+3\,B\,d^3\,e+7\,C\,d^2\,e^2\,x^2+9\,B\,d^2\,e^2\,x+7\,A\,d^2\,e^2+3\,B\,d\,e^3\,x^2+6\,A\,d\,e^3\,x+2\,A\,e^4\,x^2\right)}{15\,d^3\,e^3\,{\left(d+e\,x\right)}^3}","Not used",1,"-((d^2 - e^2*x^2)^(1/2)*(2*C*d^4 + 7*A*d^2*e^2 + 2*A*e^4*x^2 + 3*B*d^3*e + 7*C*d^2*e^2*x^2 + 6*A*d*e^3*x + 6*C*d^3*e*x + 9*B*d^2*e^2*x + 3*B*d*e^3*x^2))/(15*d^3*e^3*(d + e*x)^3)","B"
17,1,204,234,3.776489,"\text{Not used}","int((A + B*x + C*x^2)/((d^2 - e^2*x^2)^(1/2)*(d + e*x)^4),x)","\frac{\sqrt{d^2-e^2\,x^2}\,\left(\frac{C}{5\,e^3}-\frac{-4\,C\,d^2+4\,B\,d\,e+3\,A\,e^2}{35\,d^2\,e^3}\right)}{{\left(d+e\,x\right)}^3}-\frac{\sqrt{d^2-e^2\,x^2}\,\left(\frac{A}{7\,d\,e}+\frac{d\,\left(\frac{C}{7\,e^2}-\frac{B}{7\,d\,e}\right)}{e}\right)}{{\left(d+e\,x\right)}^4}-\frac{\sqrt{d^2-e^2\,x^2}\,\left(13\,C\,d^2+8\,B\,d\,e+6\,A\,e^2\right)}{105\,d^3\,e^3\,{\left(d+e\,x\right)}^2}-\frac{\sqrt{d^2-e^2\,x^2}\,\left(13\,C\,d^2+8\,B\,d\,e+6\,A\,e^2\right)}{105\,d^4\,e^3\,\left(d+e\,x\right)}","Not used",1,"((d^2 - e^2*x^2)^(1/2)*(C/(5*e^3) - (3*A*e^2 - 4*C*d^2 + 4*B*d*e)/(35*d^2*e^3)))/(d + e*x)^3 - ((d^2 - e^2*x^2)^(1/2)*(A/(7*d*e) + (d*(C/(7*e^2) - B/(7*d*e)))/e))/(d + e*x)^4 - ((d^2 - e^2*x^2)^(1/2)*(6*A*e^2 + 13*C*d^2 + 8*B*d*e))/(105*d^3*e^3*(d + e*x)^2) - ((d^2 - e^2*x^2)^(1/2)*(6*A*e^2 + 13*C*d^2 + 8*B*d*e))/(105*d^4*e^3*(d + e*x))","B"
18,1,206,175,0.088349,"\text{Not used}","int((a + c*x^2)*(d + e*x)^3*(A + B*x + C*x^2),x)","x^3\,\left(\frac{A\,c\,d^3}{3}+\frac{C\,a\,d^3}{3}+A\,a\,d\,e^2+B\,a\,d^2\,e\right)+x^6\,\left(\frac{A\,c\,e^3}{6}+\frac{C\,a\,e^3}{6}+\frac{B\,c\,d\,e^2}{2}+\frac{C\,c\,d^2\,e}{2}\right)+x^4\,\left(\frac{A\,a\,e^3}{4}+\frac{B\,c\,d^3}{4}+\frac{3\,B\,a\,d\,e^2}{4}+\frac{3\,A\,c\,d^2\,e}{4}+\frac{3\,C\,a\,d^2\,e}{4}\right)+x^5\,\left(\frac{B\,a\,e^3}{5}+\frac{C\,c\,d^3}{5}+\frac{3\,A\,c\,d\,e^2}{5}+\frac{3\,C\,a\,d\,e^2}{5}+\frac{3\,B\,c\,d^2\,e}{5}\right)+A\,a\,d^3\,x+\frac{C\,c\,e^3\,x^8}{8}+\frac{a\,d^2\,x^2\,\left(3\,A\,e+B\,d\right)}{2}+\frac{c\,e^2\,x^7\,\left(B\,e+3\,C\,d\right)}{7}","Not used",1,"x^3*((A*c*d^3)/3 + (C*a*d^3)/3 + A*a*d*e^2 + B*a*d^2*e) + x^6*((A*c*e^3)/6 + (C*a*e^3)/6 + (B*c*d*e^2)/2 + (C*c*d^2*e)/2) + x^4*((A*a*e^3)/4 + (B*c*d^3)/4 + (3*B*a*d*e^2)/4 + (3*A*c*d^2*e)/4 + (3*C*a*d^2*e)/4) + x^5*((B*a*e^3)/5 + (C*c*d^3)/5 + (3*A*c*d*e^2)/5 + (3*C*a*d*e^2)/5 + (3*B*c*d^2*e)/5) + A*a*d^3*x + (C*c*e^3*x^8)/8 + (a*d^2*x^2*(3*A*e + B*d))/2 + (c*e^2*x^7*(B*e + 3*C*d))/7","B"
19,1,143,175,3.614264,"\text{Not used}","int((a + c*x^2)*(d + e*x)^2*(A + B*x + C*x^2),x)","x^3\,\left(\frac{A\,a\,e^2}{3}+\frac{A\,c\,d^2}{3}+\frac{C\,a\,d^2}{3}+\frac{2\,B\,a\,d\,e}{3}\right)+x^5\,\left(\frac{A\,c\,e^2}{5}+\frac{C\,a\,e^2}{5}+\frac{C\,c\,d^2}{5}+\frac{2\,B\,c\,d\,e}{5}\right)+x^4\,\left(\frac{B\,a\,e^2}{4}+\frac{B\,c\,d^2}{4}+\frac{A\,c\,d\,e}{2}+\frac{C\,a\,d\,e}{2}\right)+A\,a\,d^2\,x+\frac{a\,d\,x^2\,\left(2\,A\,e+B\,d\right)}{2}+\frac{c\,e\,x^6\,\left(B\,e+2\,C\,d\right)}{6}+\frac{C\,c\,e^2\,x^7}{7}","Not used",1,"x^3*((A*a*e^2)/3 + (A*c*d^2)/3 + (C*a*d^2)/3 + (2*B*a*d*e)/3) + x^5*((A*c*e^2)/5 + (C*a*e^2)/5 + (C*c*d^2)/5 + (2*B*c*d*e)/5) + x^4*((B*a*e^2)/4 + (B*c*d^2)/4 + (A*c*d*e)/2 + (C*a*d*e)/2) + A*a*d^2*x + (a*d*x^2*(2*A*e + B*d))/2 + (c*e*x^6*(B*e + 2*C*d))/6 + (C*c*e^2*x^7)/7","B"
20,1,80,86,3.561002,"\text{Not used}","int((a + c*x^2)*(d + e*x)*(A + B*x + C*x^2),x)","\frac{C\,c\,e\,x^6}{6}+\frac{c\,\left(B\,e+C\,d\right)\,x^5}{5}+\left(\frac{A\,c\,e}{4}+\frac{B\,c\,d}{4}+\frac{C\,a\,e}{4}\right)\,x^4+\left(\frac{A\,c\,d}{3}+\frac{B\,a\,e}{3}+\frac{C\,a\,d}{3}\right)\,x^3+\frac{a\,\left(A\,e+B\,d\right)\,x^2}{2}+A\,a\,d\,x","Not used",1,"x^3*((A*c*d)/3 + (B*a*e)/3 + (C*a*d)/3) + x^4*((A*c*e)/4 + (B*c*d)/4 + (C*a*e)/4) + (a*x^2*(A*e + B*d))/2 + (c*x^5*(B*e + C*d))/5 + (C*c*e*x^6)/6 + A*a*d*x","B"
21,1,39,46,0.025199,"\text{Not used}","int((a + c*x^2)*(A + B*x + C*x^2),x)","\frac{C\,c\,x^5}{5}+\frac{B\,c\,x^4}{4}+\left(\frac{A\,c}{3}+\frac{C\,a}{3}\right)\,x^3+\frac{B\,a\,x^2}{2}+A\,a\,x","Not used",1,"x^3*((A*c)/3 + (C*a)/3) + A*a*x + (B*a*x^2)/2 + (B*c*x^4)/4 + (C*c*x^5)/5","B"
22,1,175,145,3.623127,"\text{Not used}","int(((a + c*x^2)*(A + B*x + C*x^2))/(d + e*x),x)","x^3\,\left(\frac{B\,c}{3\,e}-\frac{C\,c\,d}{3\,e^2}\right)-x\,\left(\frac{d\,\left(\frac{A\,c+C\,a}{e}-\frac{d\,\left(\frac{B\,c}{e}-\frac{C\,c\,d}{e^2}\right)}{e}\right)}{e}-\frac{B\,a}{e}\right)+x^2\,\left(\frac{A\,c+C\,a}{2\,e}-\frac{d\,\left(\frac{B\,c}{e}-\frac{C\,c\,d}{e^2}\right)}{2\,e}\right)+\frac{\ln\left(d+e\,x\right)\,\left(A\,a\,e^4+C\,c\,d^4-B\,a\,d\,e^3-B\,c\,d^3\,e+A\,c\,d^2\,e^2+C\,a\,d^2\,e^2\right)}{e^5}+\frac{C\,c\,x^4}{4\,e}","Not used",1,"x^3*((B*c)/(3*e) - (C*c*d)/(3*e^2)) - x*((d*((A*c + C*a)/e - (d*((B*c)/e - (C*c*d)/e^2))/e))/e - (B*a)/e) + x^2*((A*c + C*a)/(2*e) - (d*((B*c)/e - (C*c*d)/e^2))/(2*e)) + (log(d + e*x)*(A*a*e^4 + C*c*d^4 - B*a*d*e^3 - B*c*d^3*e + A*c*d^2*e^2 + C*a*d^2*e^2))/e^5 + (C*c*x^4)/(4*e)","B"
23,1,192,153,0.089792,"\text{Not used}","int(((a + c*x^2)*(A + B*x + C*x^2))/(d + e*x)^2,x)","x^2\,\left(\frac{B\,c}{2\,e^2}-\frac{C\,c\,d}{e^3}\right)-x\,\left(\frac{2\,d\,\left(\frac{B\,c}{e^2}-\frac{2\,C\,c\,d}{e^3}\right)}{e}-\frac{A\,c+C\,a}{e^2}+\frac{C\,c\,d^2}{e^4}\right)-\frac{\ln\left(d+e\,x\right)\,\left(4\,C\,c\,d^3-B\,a\,e^3+2\,A\,c\,d\,e^2+2\,C\,a\,d\,e^2-3\,B\,c\,d^2\,e\right)}{e^5}-\frac{A\,a\,e^4+C\,c\,d^4-B\,a\,d\,e^3-B\,c\,d^3\,e+A\,c\,d^2\,e^2+C\,a\,d^2\,e^2}{e\,\left(x\,e^5+d\,e^4\right)}+\frac{C\,c\,x^3}{3\,e^2}","Not used",1,"x^2*((B*c)/(2*e^2) - (C*c*d)/e^3) - x*((2*d*((B*c)/e^2 - (2*C*c*d)/e^3))/e - (A*c + C*a)/e^2 + (C*c*d^2)/e^4) - (log(d + e*x)*(4*C*c*d^3 - B*a*e^3 + 2*A*c*d*e^2 + 2*C*a*d*e^2 - 3*B*c*d^2*e))/e^5 - (A*a*e^4 + C*c*d^4 - B*a*d*e^3 - B*c*d^3*e + A*c*d^2*e^2 + C*a*d^2*e^2)/(e*(d*e^4 + e^5*x)) + (C*c*x^3)/(3*e^2)","B"
24,1,185,156,0.094664,"\text{Not used}","int(((a + c*x^2)*(A + B*x + C*x^2))/(d + e*x)^3,x)","\frac{x\,\left(4\,C\,c\,d^3-B\,a\,e^3+2\,A\,c\,d\,e^2+2\,C\,a\,d\,e^2-3\,B\,c\,d^2\,e\right)-\frac{A\,a\,e^4-7\,C\,c\,d^4+B\,a\,d\,e^3+5\,B\,c\,d^3\,e-3\,A\,c\,d^2\,e^2-3\,C\,a\,d^2\,e^2}{2\,e}}{d^2\,e^4+2\,d\,e^5\,x+e^6\,x^2}+x\,\left(\frac{B\,c}{e^3}-\frac{3\,C\,c\,d}{e^4}\right)+\frac{\ln\left(d+e\,x\right)\,\left(A\,c\,e^2+C\,a\,e^2+6\,C\,c\,d^2-3\,B\,c\,d\,e\right)}{e^5}+\frac{C\,c\,x^2}{2\,e^3}","Not used",1,"(x*(4*C*c*d^3 - B*a*e^3 + 2*A*c*d*e^2 + 2*C*a*d*e^2 - 3*B*c*d^2*e) - (A*a*e^4 - 7*C*c*d^4 + B*a*d*e^3 + 5*B*c*d^3*e - 3*A*c*d^2*e^2 - 3*C*a*d^2*e^2)/(2*e))/(d^2*e^4 + e^6*x^2 + 2*d*e^5*x) + x*((B*c)/e^3 - (3*C*c*d)/e^4) + (log(d + e*x)*(A*c*e^2 + C*a*e^2 + 6*C*c*d^2 - 3*B*c*d*e))/e^5 + (C*c*x^2)/(2*e^3)","B"
25,1,332,304,0.139681,"\text{Not used}","int((a + c*x^2)^2*(d + e*x)^3*(A + B*x + C*x^2),x)","x^5\,\left(\frac{3\,C\,a^2\,d\,e^2}{5}+\frac{B\,a^2\,e^3}{5}+\frac{2\,C\,a\,c\,d^3}{5}+\frac{6\,B\,a\,c\,d^2\,e}{5}+\frac{6\,A\,a\,c\,d\,e^2}{5}+\frac{A\,c^2\,d^3}{5}\right)+x^6\,\left(\frac{C\,a^2\,e^3}{6}+C\,a\,c\,d^2\,e+B\,a\,c\,d\,e^2+\frac{A\,a\,c\,e^3}{3}+\frac{B\,c^2\,d^3}{6}+\frac{A\,c^2\,d^2\,e}{2}\right)+\frac{a\,x^4\,\left(A\,a\,e^3+2\,B\,c\,d^3+3\,B\,a\,d\,e^2+6\,A\,c\,d^2\,e+3\,C\,a\,d^2\,e\right)}{4}+\frac{c\,x^7\,\left(2\,B\,a\,e^3+C\,c\,d^3+3\,A\,c\,d\,e^2+6\,C\,a\,d\,e^2+3\,B\,c\,d^2\,e\right)}{7}+\frac{C\,c^2\,e^3\,x^{10}}{10}+\frac{a^2\,d^2\,x^2\,\left(3\,A\,e+B\,d\right)}{2}+\frac{c^2\,e^2\,x^9\,\left(B\,e+3\,C\,d\right)}{9}+\frac{a\,d\,x^3\,\left(3\,A\,a\,e^2+2\,A\,c\,d^2+C\,a\,d^2+3\,B\,a\,d\,e\right)}{3}+\frac{c\,e\,x^8\,\left(A\,c\,e^2+2\,C\,a\,e^2+3\,C\,c\,d^2+3\,B\,c\,d\,e\right)}{8}+A\,a^2\,d^3\,x","Not used",1,"x^5*((A*c^2*d^3)/5 + (B*a^2*e^3)/5 + (2*C*a*c*d^3)/5 + (3*C*a^2*d*e^2)/5 + (6*A*a*c*d*e^2)/5 + (6*B*a*c*d^2*e)/5) + x^6*((B*c^2*d^3)/6 + (C*a^2*e^3)/6 + (A*a*c*e^3)/3 + (A*c^2*d^2*e)/2 + B*a*c*d*e^2 + C*a*c*d^2*e) + (a*x^4*(A*a*e^3 + 2*B*c*d^3 + 3*B*a*d*e^2 + 6*A*c*d^2*e + 3*C*a*d^2*e))/4 + (c*x^7*(2*B*a*e^3 + C*c*d^3 + 3*A*c*d*e^2 + 6*C*a*d*e^2 + 3*B*c*d^2*e))/7 + (C*c^2*e^3*x^10)/10 + (a^2*d^2*x^2*(3*A*e + B*d))/2 + (c^2*e^2*x^9*(B*e + 3*C*d))/9 + (a*d*x^3*(3*A*a*e^2 + 2*A*c*d^2 + C*a*d^2 + 3*B*a*d*e))/3 + (c*e*x^8*(A*c*e^2 + 2*C*a*e^2 + 3*C*c*d^2 + 3*B*c*d*e))/8 + A*a^2*d^3*x","B"
26,1,244,217,3.724255,"\text{Not used}","int((a + c*x^2)^2*(d + e*x)^2*(A + B*x + C*x^2),x)","x^3\,\left(\frac{C\,a^2\,d^2}{3}+\frac{2\,B\,a^2\,d\,e}{3}+\frac{A\,a^2\,e^2}{3}+\frac{2\,A\,c\,a\,d^2}{3}\right)+x^7\,\left(\frac{C\,c^2\,d^2}{7}+\frac{2\,B\,c^2\,d\,e}{7}+\frac{A\,c^2\,e^2}{7}+\frac{2\,C\,a\,c\,e^2}{7}\right)+x^5\,\left(\frac{C\,a^2\,e^2}{5}+\frac{2\,C\,a\,c\,d^2}{5}+\frac{4\,B\,a\,c\,d\,e}{5}+\frac{2\,A\,a\,c\,e^2}{5}+\frac{A\,c^2\,d^2}{5}\right)+\frac{a\,x^4\,\left(B\,a\,e^2+2\,B\,c\,d^2+4\,A\,c\,d\,e+2\,C\,a\,d\,e\right)}{4}+\frac{c\,x^6\,\left(2\,B\,a\,e^2+B\,c\,d^2+2\,A\,c\,d\,e+4\,C\,a\,d\,e\right)}{6}+\frac{C\,c^2\,e^2\,x^9}{9}+A\,a^2\,d^2\,x+\frac{a^2\,d\,x^2\,\left(2\,A\,e+B\,d\right)}{2}+\frac{c^2\,e\,x^8\,\left(B\,e+2\,C\,d\right)}{8}","Not used",1,"x^3*((A*a^2*e^2)/3 + (C*a^2*d^2)/3 + (2*A*a*c*d^2)/3 + (2*B*a^2*d*e)/3) + x^7*((A*c^2*e^2)/7 + (C*c^2*d^2)/7 + (2*C*a*c*e^2)/7 + (2*B*c^2*d*e)/7) + x^5*((A*c^2*d^2)/5 + (C*a^2*e^2)/5 + (2*A*a*c*e^2)/5 + (2*C*a*c*d^2)/5 + (4*B*a*c*d*e)/5) + (a*x^4*(B*a*e^2 + 2*B*c*d^2 + 4*A*c*d*e + 2*C*a*d*e))/4 + (c*x^6*(2*B*a*e^2 + B*c*d^2 + 2*A*c*d*e + 4*C*a*d*e))/6 + (C*c^2*e^2*x^9)/9 + A*a^2*d^2*x + (a^2*d*x^2*(2*A*e + B*d))/2 + (c^2*e*x^8*(B*e + 2*C*d))/8","B"
27,1,140,128,3.694737,"\text{Not used}","int((a + c*x^2)^2*(d + e*x)*(A + B*x + C*x^2),x)","x^3\,\left(\frac{B\,a^2\,e}{3}+\frac{C\,a^2\,d}{3}+\frac{2\,A\,a\,c\,d}{3}\right)+x^6\,\left(\frac{A\,c^2\,e}{6}+\frac{B\,c^2\,d}{6}+\frac{C\,a\,c\,e}{3}\right)+\frac{c\,x^5\,\left(A\,c\,d+2\,B\,a\,e+2\,C\,a\,d\right)}{5}+\frac{a\,x^4\,\left(2\,A\,c\,e+2\,B\,c\,d+C\,a\,e\right)}{4}+\frac{a^2\,x^2\,\left(A\,e+B\,d\right)}{2}+\frac{c^2\,x^7\,\left(B\,e+C\,d\right)}{7}+A\,a^2\,d\,x+\frac{C\,c^2\,e\,x^8}{8}","Not used",1,"x^3*((B*a^2*e)/3 + (C*a^2*d)/3 + (2*A*a*c*d)/3) + x^6*((A*c^2*e)/6 + (B*c^2*d)/6 + (C*a*c*e)/3) + (c*x^5*(A*c*d + 2*B*a*e + 2*C*a*d))/5 + (a*x^4*(2*A*c*e + 2*B*c*d + C*a*e))/4 + (a^2*x^2*(A*e + B*d))/2 + (c^2*x^7*(B*e + C*d))/7 + A*a^2*d*x + (C*c^2*e*x^8)/8","B"
28,1,74,67,0.037953,"\text{Not used}","int((a + c*x^2)^2*(A + B*x + C*x^2),x)","x^3\,\left(\frac{C\,a^2}{3}+\frac{2\,A\,c\,a}{3}\right)+x^5\,\left(\frac{A\,c^2}{5}+\frac{2\,C\,a\,c}{5}\right)+\frac{B\,a^2\,x^2}{2}+\frac{B\,c^2\,x^6}{6}+\frac{C\,c^2\,x^7}{7}+A\,a^2\,x+\frac{B\,a\,c\,x^4}{2}","Not used",1,"x^3*((C*a^2)/3 + (2*A*a*c)/3) + x^5*((A*c^2)/5 + (2*C*a*c)/5) + (B*a^2*x^2)/2 + (B*c^2*x^6)/6 + (C*c^2*x^7)/7 + A*a^2*x + (B*a*c*x^4)/2","B"
29,1,422,297,3.684851,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x + C*x^2))/(d + e*x),x)","x^5\,\left(\frac{B\,c^2}{5\,e}-\frac{C\,c^2\,d}{5\,e^2}\right)-x\,\left(\frac{d\,\left(\frac{C\,a^2+2\,A\,c\,a}{e}+\frac{d\,\left(\frac{d\,\left(\frac{A\,c^2+2\,C\,a\,c}{e}-\frac{d\,\left(\frac{B\,c^2}{e}-\frac{C\,c^2\,d}{e^2}\right)}{e}\right)}{e}-\frac{2\,B\,a\,c}{e}\right)}{e}\right)}{e}-\frac{B\,a^2}{e}\right)+x^4\,\left(\frac{A\,c^2+2\,C\,a\,c}{4\,e}-\frac{d\,\left(\frac{B\,c^2}{e}-\frac{C\,c^2\,d}{e^2}\right)}{4\,e}\right)-x^3\,\left(\frac{d\,\left(\frac{A\,c^2+2\,C\,a\,c}{e}-\frac{d\,\left(\frac{B\,c^2}{e}-\frac{C\,c^2\,d}{e^2}\right)}{e}\right)}{3\,e}-\frac{2\,B\,a\,c}{3\,e}\right)+x^2\,\left(\frac{C\,a^2+2\,A\,c\,a}{2\,e}+\frac{d\,\left(\frac{d\,\left(\frac{A\,c^2+2\,C\,a\,c}{e}-\frac{d\,\left(\frac{B\,c^2}{e}-\frac{C\,c^2\,d}{e^2}\right)}{e}\right)}{e}-\frac{2\,B\,a\,c}{e}\right)}{2\,e}\right)+\frac{\ln\left(d+e\,x\right)\,\left(C\,a^2\,d^2\,e^4-B\,a^2\,d\,e^5+A\,a^2\,e^6+2\,C\,a\,c\,d^4\,e^2-2\,B\,a\,c\,d^3\,e^3+2\,A\,a\,c\,d^2\,e^4+C\,c^2\,d^6-B\,c^2\,d^5\,e+A\,c^2\,d^4\,e^2\right)}{e^7}+\frac{C\,c^2\,x^6}{6\,e}","Not used",1,"x^5*((B*c^2)/(5*e) - (C*c^2*d)/(5*e^2)) - x*((d*((C*a^2 + 2*A*a*c)/e + (d*((d*((A*c^2 + 2*C*a*c)/e - (d*((B*c^2)/e - (C*c^2*d)/e^2))/e))/e - (2*B*a*c)/e))/e))/e - (B*a^2)/e) + x^4*((A*c^2 + 2*C*a*c)/(4*e) - (d*((B*c^2)/e - (C*c^2*d)/e^2))/(4*e)) - x^3*((d*((A*c^2 + 2*C*a*c)/e - (d*((B*c^2)/e - (C*c^2*d)/e^2))/e))/(3*e) - (2*B*a*c)/(3*e)) + x^2*((C*a^2 + 2*A*a*c)/(2*e) + (d*((d*((A*c^2 + 2*C*a*c)/e - (d*((B*c^2)/e - (C*c^2*d)/e^2))/e))/e - (2*B*a*c)/e))/(2*e)) + (log(d + e*x)*(A*a^2*e^6 + C*c^2*d^6 - B*a^2*d*e^5 - B*c^2*d^5*e + A*c^2*d^4*e^2 + C*a^2*d^2*e^4 + 2*A*a*c*d^2*e^4 - 2*B*a*c*d^3*e^3 + 2*C*a*c*d^4*e^2))/e^7 + (C*c^2*x^6)/(6*e)","B"
30,1,575,292,0.121051,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x + C*x^2))/(d + e*x)^2,x)","x^4\,\left(\frac{B\,c^2}{4\,e^2}-\frac{C\,c^2\,d}{2\,e^3}\right)+x\,\left(\frac{C\,a^2+2\,A\,c\,a}{e^2}+\frac{d^2\,\left(\frac{2\,d\,\left(\frac{B\,c^2}{e^2}-\frac{2\,C\,c^2\,d}{e^3}\right)}{e}-\frac{A\,c^2+2\,C\,a\,c}{e^2}+\frac{C\,c^2\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{B\,c^2}{e^2}-\frac{2\,C\,c^2\,d}{e^3}\right)}{e}-\frac{A\,c^2+2\,C\,a\,c}{e^2}+\frac{C\,c^2\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{B\,c^2}{e^2}-\frac{2\,C\,c^2\,d}{e^3}\right)}{e^2}+\frac{2\,B\,a\,c}{e^2}\right)}{e}\right)-x^3\,\left(\frac{2\,d\,\left(\frac{B\,c^2}{e^2}-\frac{2\,C\,c^2\,d}{e^3}\right)}{3\,e}-\frac{A\,c^2+2\,C\,a\,c}{3\,e^2}+\frac{C\,c^2\,d^2}{3\,e^4}\right)+x^2\,\left(\frac{d\,\left(\frac{2\,d\,\left(\frac{B\,c^2}{e^2}-\frac{2\,C\,c^2\,d}{e^3}\right)}{e}-\frac{A\,c^2+2\,C\,a\,c}{e^2}+\frac{C\,c^2\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{B\,c^2}{e^2}-\frac{2\,C\,c^2\,d}{e^3}\right)}{2\,e^2}+\frac{B\,a\,c}{e^2}\right)-\frac{C\,a^2\,d^2\,e^4-B\,a^2\,d\,e^5+A\,a^2\,e^6+2\,C\,a\,c\,d^4\,e^2-2\,B\,a\,c\,d^3\,e^3+2\,A\,a\,c\,d^2\,e^4+C\,c^2\,d^6-B\,c^2\,d^5\,e+A\,c^2\,d^4\,e^2}{e\,\left(x\,e^7+d\,e^6\right)}-\frac{\ln\left(d+e\,x\right)\,\left(2\,C\,a^2\,d\,e^4-B\,a^2\,e^5+8\,C\,a\,c\,d^3\,e^2-6\,B\,a\,c\,d^2\,e^3+4\,A\,a\,c\,d\,e^4+6\,C\,c^2\,d^5-5\,B\,c^2\,d^4\,e+4\,A\,c^2\,d^3\,e^2\right)}{e^7}+\frac{C\,c^2\,x^5}{5\,e^2}","Not used",1,"x^4*((B*c^2)/(4*e^2) - (C*c^2*d)/(2*e^3)) + x*((C*a^2 + 2*A*a*c)/e^2 + (d^2*((2*d*((B*c^2)/e^2 - (2*C*c^2*d)/e^3))/e - (A*c^2 + 2*C*a*c)/e^2 + (C*c^2*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((B*c^2)/e^2 - (2*C*c^2*d)/e^3))/e - (A*c^2 + 2*C*a*c)/e^2 + (C*c^2*d^2)/e^4))/e - (d^2*((B*c^2)/e^2 - (2*C*c^2*d)/e^3))/e^2 + (2*B*a*c)/e^2))/e) - x^3*((2*d*((B*c^2)/e^2 - (2*C*c^2*d)/e^3))/(3*e) - (A*c^2 + 2*C*a*c)/(3*e^2) + (C*c^2*d^2)/(3*e^4)) + x^2*((d*((2*d*((B*c^2)/e^2 - (2*C*c^2*d)/e^3))/e - (A*c^2 + 2*C*a*c)/e^2 + (C*c^2*d^2)/e^4))/e - (d^2*((B*c^2)/e^2 - (2*C*c^2*d)/e^3))/(2*e^2) + (B*a*c)/e^2) - (A*a^2*e^6 + C*c^2*d^6 - B*a^2*d*e^5 - B*c^2*d^5*e + A*c^2*d^4*e^2 + C*a^2*d^2*e^4 + 2*A*a*c*d^2*e^4 - 2*B*a*c*d^3*e^3 + 2*C*a*c*d^4*e^2)/(e*(d*e^6 + e^7*x)) - (log(d + e*x)*(6*C*c^2*d^5 - B*a^2*e^5 + 2*C*a^2*d*e^4 - 5*B*c^2*d^4*e + 4*A*c^2*d^3*e^2 + 4*A*a*c*d*e^4 - 6*B*a*c*d^2*e^3 + 8*C*a*c*d^3*e^2))/e^7 + (C*c^2*x^5)/(5*e^2)","B"
31,1,495,295,3.824597,"\text{Not used}","int(((a + c*x^2)^2*(A + B*x + C*x^2))/(d + e*x)^3,x)","x\,\left(\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{B\,c^2}{e^3}-\frac{3\,C\,c^2\,d}{e^4}\right)}{e}-\frac{A\,c^2+2\,C\,a\,c}{e^3}+\frac{3\,C\,c^2\,d^2}{e^5}\right)}{e}-\frac{3\,d^2\,\left(\frac{B\,c^2}{e^3}-\frac{3\,C\,c^2\,d}{e^4}\right)}{e^2}+\frac{2\,B\,a\,c}{e^3}-\frac{C\,c^2\,d^3}{e^6}\right)+x^3\,\left(\frac{B\,c^2}{3\,e^3}-\frac{C\,c^2\,d}{e^4}\right)-x^2\,\left(\frac{3\,d\,\left(\frac{B\,c^2}{e^3}-\frac{3\,C\,c^2\,d}{e^4}\right)}{2\,e}-\frac{A\,c^2+2\,C\,a\,c}{2\,e^3}+\frac{3\,C\,c^2\,d^2}{2\,e^5}\right)+\frac{\frac{3\,C\,a^2\,d^2\,e^4-B\,a^2\,d\,e^5-A\,a^2\,e^6+14\,C\,a\,c\,d^4\,e^2-10\,B\,a\,c\,d^3\,e^3+6\,A\,a\,c\,d^2\,e^4+11\,C\,c^2\,d^6-9\,B\,c^2\,d^5\,e+7\,A\,c^2\,d^4\,e^2}{2\,e}+x\,\left(2\,C\,a^2\,d\,e^4-B\,a^2\,e^5+8\,C\,a\,c\,d^3\,e^2-6\,B\,a\,c\,d^2\,e^3+4\,A\,a\,c\,d\,e^4+6\,C\,c^2\,d^5-5\,B\,c^2\,d^4\,e+4\,A\,c^2\,d^3\,e^2\right)}{d^2\,e^6+2\,d\,e^7\,x+e^8\,x^2}+\frac{\ln\left(d+e\,x\right)\,\left(C\,a^2\,e^4+12\,C\,a\,c\,d^2\,e^2-6\,B\,a\,c\,d\,e^3+2\,A\,a\,c\,e^4+15\,C\,c^2\,d^4-10\,B\,c^2\,d^3\,e+6\,A\,c^2\,d^2\,e^2\right)}{e^7}+\frac{C\,c^2\,x^4}{4\,e^3}","Not used",1,"x*((3*d*((3*d*((B*c^2)/e^3 - (3*C*c^2*d)/e^4))/e - (A*c^2 + 2*C*a*c)/e^3 + (3*C*c^2*d^2)/e^5))/e - (3*d^2*((B*c^2)/e^3 - (3*C*c^2*d)/e^4))/e^2 + (2*B*a*c)/e^3 - (C*c^2*d^3)/e^6) + x^3*((B*c^2)/(3*e^3) - (C*c^2*d)/e^4) - x^2*((3*d*((B*c^2)/e^3 - (3*C*c^2*d)/e^4))/(2*e) - (A*c^2 + 2*C*a*c)/(2*e^3) + (3*C*c^2*d^2)/(2*e^5)) + ((11*C*c^2*d^6 - A*a^2*e^6 - B*a^2*d*e^5 - 9*B*c^2*d^5*e + 7*A*c^2*d^4*e^2 + 3*C*a^2*d^2*e^4 + 6*A*a*c*d^2*e^4 - 10*B*a*c*d^3*e^3 + 14*C*a*c*d^4*e^2)/(2*e) + x*(6*C*c^2*d^5 - B*a^2*e^5 + 2*C*a^2*d*e^4 - 5*B*c^2*d^4*e + 4*A*c^2*d^3*e^2 + 4*A*a*c*d*e^4 - 6*B*a*c*d^2*e^3 + 8*C*a*c*d^3*e^2))/(d^2*e^6 + e^8*x^2 + 2*d*e^7*x) + (log(d + e*x)*(C*a^2*e^4 + 15*C*c^2*d^4 + 2*A*a*c*e^4 - 10*B*c^2*d^3*e + 6*A*c^2*d^2*e^2 - 6*B*a*c*d*e^3 + 12*C*a*c*d^2*e^2))/e^7 + (C*c^2*x^4)/(4*e^3)","B"
32,1,490,404,4.049618,"\text{Not used}","int((a + c*x^2)^3*(d + e*x)^3*(A + B*x + C*x^2),x)","x^5\,\left(\frac{3\,C\,a^3\,d\,e^2}{5}+\frac{B\,a^3\,e^3}{5}+\frac{3\,C\,a^2\,c\,d^3}{5}+\frac{9\,B\,a^2\,c\,d^2\,e}{5}+\frac{9\,A\,a^2\,c\,d\,e^2}{5}+\frac{3\,A\,a\,c^2\,d^3}{5}\right)+x^8\,\left(\frac{3\,C\,a^2\,c\,e^3}{8}+\frac{9\,C\,a\,c^2\,d^2\,e}{8}+\frac{9\,B\,a\,c^2\,d\,e^2}{8}+\frac{3\,A\,a\,c^2\,e^3}{8}+\frac{B\,c^3\,d^3}{8}+\frac{3\,A\,c^3\,d^2\,e}{8}\right)+x^6\,\left(\frac{C\,a^3\,e^3}{6}+\frac{3\,C\,a^2\,c\,d^2\,e}{2}+\frac{3\,B\,a^2\,c\,d\,e^2}{2}+\frac{A\,a^2\,c\,e^3}{2}+\frac{B\,a\,c^2\,d^3}{2}+\frac{3\,A\,a\,c^2\,d^2\,e}{2}\right)+x^7\,\left(\frac{9\,C\,a^2\,c\,d\,e^2}{7}+\frac{3\,B\,a^2\,c\,e^3}{7}+\frac{3\,C\,a\,c^2\,d^3}{7}+\frac{9\,B\,a\,c^2\,d^2\,e}{7}+\frac{9\,A\,a\,c^2\,d\,e^2}{7}+\frac{A\,c^3\,d^3}{7}\right)+\frac{a^2\,x^4\,\left(A\,a\,e^3+3\,B\,c\,d^3+3\,B\,a\,d\,e^2+9\,A\,c\,d^2\,e+3\,C\,a\,d^2\,e\right)}{4}+\frac{c^2\,x^9\,\left(3\,B\,a\,e^3+C\,c\,d^3+3\,A\,c\,d\,e^2+9\,C\,a\,d\,e^2+3\,B\,c\,d^2\,e\right)}{9}+\frac{C\,c^3\,e^3\,x^{12}}{12}+\frac{a^3\,d^2\,x^2\,\left(3\,A\,e+B\,d\right)}{2}+\frac{c^3\,e^2\,x^{11}\,\left(B\,e+3\,C\,d\right)}{11}+A\,a^3\,d^3\,x+\frac{a^2\,d\,x^3\,\left(3\,A\,a\,e^2+3\,A\,c\,d^2+C\,a\,d^2+3\,B\,a\,d\,e\right)}{3}+\frac{c^2\,e\,x^{10}\,\left(A\,c\,e^2+3\,C\,a\,e^2+3\,C\,c\,d^2+3\,B\,c\,d\,e\right)}{10}","Not used",1,"x^5*((B*a^3*e^3)/5 + (3*A*a*c^2*d^3)/5 + (3*C*a^2*c*d^3)/5 + (3*C*a^3*d*e^2)/5 + (9*A*a^2*c*d*e^2)/5 + (9*B*a^2*c*d^2*e)/5) + x^8*((B*c^3*d^3)/8 + (3*A*a*c^2*e^3)/8 + (3*C*a^2*c*e^3)/8 + (3*A*c^3*d^2*e)/8 + (9*B*a*c^2*d*e^2)/8 + (9*C*a*c^2*d^2*e)/8) + x^6*((C*a^3*e^3)/6 + (A*a^2*c*e^3)/2 + (B*a*c^2*d^3)/2 + (3*A*a*c^2*d^2*e)/2 + (3*B*a^2*c*d*e^2)/2 + (3*C*a^2*c*d^2*e)/2) + x^7*((A*c^3*d^3)/7 + (3*B*a^2*c*e^3)/7 + (3*C*a*c^2*d^3)/7 + (9*A*a*c^2*d*e^2)/7 + (9*B*a*c^2*d^2*e)/7 + (9*C*a^2*c*d*e^2)/7) + (a^2*x^4*(A*a*e^3 + 3*B*c*d^3 + 3*B*a*d*e^2 + 9*A*c*d^2*e + 3*C*a*d^2*e))/4 + (c^2*x^9*(3*B*a*e^3 + C*c*d^3 + 3*A*c*d*e^2 + 9*C*a*d*e^2 + 3*B*c*d^2*e))/9 + (C*c^3*e^3*x^12)/12 + (a^3*d^2*x^2*(3*A*e + B*d))/2 + (c^3*e^2*x^11*(B*e + 3*C*d))/11 + A*a^3*d^3*x + (a^2*d*x^3*(3*A*a*e^2 + 3*A*c*d^2 + C*a*d^2 + 3*B*a*d*e))/3 + (c^2*e*x^10*(A*c*e^2 + 3*C*a*e^2 + 3*C*c*d^2 + 3*B*c*d*e))/10","B"
33,1,343,289,3.938438,"\text{Not used}","int((a + c*x^2)^3*(d + e*x)^2*(A + B*x + C*x^2),x)","x^3\,\left(\frac{C\,a^3\,d^2}{3}+\frac{2\,B\,a^3\,d\,e}{3}+\frac{A\,a^3\,e^2}{3}+A\,c\,a^2\,d^2\right)+x^9\,\left(\frac{C\,c^3\,d^2}{9}+\frac{2\,B\,c^3\,d\,e}{9}+\frac{A\,c^3\,e^2}{9}+\frac{C\,a\,c^2\,e^2}{3}\right)+x^5\,\left(\frac{C\,a^3\,e^2}{5}+\frac{3\,C\,a^2\,c\,d^2}{5}+\frac{6\,B\,a^2\,c\,d\,e}{5}+\frac{3\,A\,a^2\,c\,e^2}{5}+\frac{3\,A\,a\,c^2\,d^2}{5}\right)+x^7\,\left(\frac{3\,C\,a^2\,c\,e^2}{7}+\frac{3\,C\,a\,c^2\,d^2}{7}+\frac{6\,B\,a\,c^2\,d\,e}{7}+\frac{3\,A\,a\,c^2\,e^2}{7}+\frac{A\,c^3\,d^2}{7}\right)+\frac{a^2\,x^4\,\left(B\,a\,e^2+3\,B\,c\,d^2+6\,A\,c\,d\,e+2\,C\,a\,d\,e\right)}{4}+\frac{c^2\,x^8\,\left(3\,B\,a\,e^2+B\,c\,d^2+2\,A\,c\,d\,e+6\,C\,a\,d\,e\right)}{8}+\frac{C\,c^3\,e^2\,x^{11}}{11}+\frac{a\,c\,x^6\,\left(B\,a\,e^2+B\,c\,d^2+2\,A\,c\,d\,e+2\,C\,a\,d\,e\right)}{2}+A\,a^3\,d^2\,x+\frac{a^3\,d\,x^2\,\left(2\,A\,e+B\,d\right)}{2}+\frac{c^3\,e\,x^{10}\,\left(B\,e+2\,C\,d\right)}{10}","Not used",1,"x^3*((A*a^3*e^2)/3 + (C*a^3*d^2)/3 + (2*B*a^3*d*e)/3 + A*a^2*c*d^2) + x^9*((A*c^3*e^2)/9 + (C*c^3*d^2)/9 + (2*B*c^3*d*e)/9 + (C*a*c^2*e^2)/3) + x^5*((C*a^3*e^2)/5 + (3*A*a*c^2*d^2)/5 + (3*A*a^2*c*e^2)/5 + (3*C*a^2*c*d^2)/5 + (6*B*a^2*c*d*e)/5) + x^7*((A*c^3*d^2)/7 + (3*A*a*c^2*e^2)/7 + (3*C*a*c^2*d^2)/7 + (3*C*a^2*c*e^2)/7 + (6*B*a*c^2*d*e)/7) + (a^2*x^4*(B*a*e^2 + 3*B*c*d^2 + 6*A*c*d*e + 2*C*a*d*e))/4 + (c^2*x^8*(3*B*a*e^2 + B*c*d^2 + 2*A*c*d*e + 6*C*a*d*e))/8 + (C*c^3*e^2*x^11)/11 + (a*c*x^6*(B*a*e^2 + B*c*d^2 + 2*A*c*d*e + 2*C*a*d*e))/2 + A*a^3*d^2*x + (a^3*d*x^2*(2*A*e + B*d))/2 + (c^3*e*x^10*(B*e + 2*C*d))/10","B"
34,1,187,169,0.099087,"\text{Not used}","int((a + c*x^2)^3*(d + e*x)*(A + B*x + C*x^2),x)","x^3\,\left(\frac{B\,a^3\,e}{3}+\frac{C\,a^3\,d}{3}+A\,a^2\,c\,d\right)+x^8\,\left(\frac{A\,c^3\,e}{8}+\frac{B\,c^3\,d}{8}+\frac{3\,C\,a\,c^2\,e}{8}\right)+\frac{a^3\,x^2\,\left(A\,e+B\,d\right)}{2}+\frac{c^3\,x^9\,\left(B\,e+C\,d\right)}{9}+\frac{c^2\,x^7\,\left(A\,c\,d+3\,B\,a\,e+3\,C\,a\,d\right)}{7}+\frac{a^2\,x^4\,\left(3\,A\,c\,e+3\,B\,c\,d+C\,a\,e\right)}{4}+A\,a^3\,d\,x+\frac{3\,a\,c\,x^5\,\left(A\,c\,d+B\,a\,e+C\,a\,d\right)}{5}+\frac{a\,c\,x^6\,\left(A\,c\,e+B\,c\,d+C\,a\,e\right)}{2}+\frac{C\,c^3\,e\,x^{10}}{10}","Not used",1,"x^3*((B*a^3*e)/3 + (C*a^3*d)/3 + A*a^2*c*d) + x^8*((A*c^3*e)/8 + (B*c^3*d)/8 + (3*C*a*c^2*e)/8) + (a^3*x^2*(A*e + B*d))/2 + (c^3*x^9*(B*e + C*d))/9 + (c^2*x^7*(A*c*d + 3*B*a*e + 3*C*a*d))/7 + (a^2*x^4*(3*A*c*e + 3*B*c*d + C*a*e))/4 + A*a^3*d*x + (3*a*c*x^5*(A*c*d + B*a*e + C*a*d))/5 + (a*c*x^6*(A*c*e + B*c*d + C*a*e))/2 + (C*c^3*e*x^10)/10","B"
35,1,103,87,0.057276,"\text{Not used}","int((a + c*x^2)^3*(A + B*x + C*x^2),x)","x^3\,\left(\frac{C\,a^3}{3}+A\,c\,a^2\right)+x^7\,\left(\frac{A\,c^3}{7}+\frac{3\,C\,a\,c^2}{7}\right)+\frac{B\,a^3\,x^2}{2}+\frac{B\,c^3\,x^8}{8}+\frac{C\,c^3\,x^9}{9}+A\,a^3\,x+\frac{3\,a\,c\,x^5\,\left(A\,c+C\,a\right)}{5}+\frac{3\,B\,a^2\,c\,x^4}{4}+\frac{B\,a\,c^2\,x^6}{2}","Not used",1,"x^3*((C*a^3)/3 + A*a^2*c) + x^7*((A*c^3)/7 + (3*C*a*c^2)/7) + (B*a^3*x^2)/2 + (B*c^3*x^8)/8 + (C*c^3*x^9)/9 + A*a^3*x + (3*a*c*x^5*(A*c + C*a))/5 + (3*B*a^2*c*x^4)/4 + (B*a*c^2*x^6)/2","B"
36,1,741,490,3.877318,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x + C*x^2))/(d + e*x),x)","x\,\left(\frac{B\,a^3}{e}-\frac{d\,\left(\frac{C\,a^3+3\,A\,c\,a^2}{e}+\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,c^3+3\,C\,a\,c^2}{e}-\frac{d\,\left(\frac{B\,c^3}{e}-\frac{C\,c^3\,d}{e^2}\right)}{e}\right)}{e}-\frac{3\,B\,a\,c^2}{e}\right)}{e}+\frac{3\,a\,c\,\left(A\,c+C\,a\right)}{e}\right)}{e}-\frac{3\,B\,a^2\,c}{e}\right)}{e}\right)}{e}\right)+x^7\,\left(\frac{B\,c^3}{7\,e}-\frac{C\,c^3\,d}{7\,e^2}\right)-x^5\,\left(\frac{d\,\left(\frac{A\,c^3+3\,C\,a\,c^2}{e}-\frac{d\,\left(\frac{B\,c^3}{e}-\frac{C\,c^3\,d}{e^2}\right)}{e}\right)}{5\,e}-\frac{3\,B\,a\,c^2}{5\,e}\right)+x^4\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,c^3+3\,C\,a\,c^2}{e}-\frac{d\,\left(\frac{B\,c^3}{e}-\frac{C\,c^3\,d}{e^2}\right)}{e}\right)}{e}-\frac{3\,B\,a\,c^2}{e}\right)}{4\,e}+\frac{3\,a\,c\,\left(A\,c+C\,a\right)}{4\,e}\right)+x^2\,\left(\frac{C\,a^3+3\,A\,c\,a^2}{2\,e}+\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,c^3+3\,C\,a\,c^2}{e}-\frac{d\,\left(\frac{B\,c^3}{e}-\frac{C\,c^3\,d}{e^2}\right)}{e}\right)}{e}-\frac{3\,B\,a\,c^2}{e}\right)}{e}+\frac{3\,a\,c\,\left(A\,c+C\,a\right)}{e}\right)}{e}-\frac{3\,B\,a^2\,c}{e}\right)}{2\,e}\right)+x^6\,\left(\frac{A\,c^3+3\,C\,a\,c^2}{6\,e}-\frac{d\,\left(\frac{B\,c^3}{e}-\frac{C\,c^3\,d}{e^2}\right)}{6\,e}\right)-x^3\,\left(\frac{d\,\left(\frac{d\,\left(\frac{d\,\left(\frac{A\,c^3+3\,C\,a\,c^2}{e}-\frac{d\,\left(\frac{B\,c^3}{e}-\frac{C\,c^3\,d}{e^2}\right)}{e}\right)}{e}-\frac{3\,B\,a\,c^2}{e}\right)}{e}+\frac{3\,a\,c\,\left(A\,c+C\,a\right)}{e}\right)}{3\,e}-\frac{B\,a^2\,c}{e}\right)+\frac{\ln\left(d+e\,x\right)\,\left(C\,a^3\,d^2\,e^6-B\,a^3\,d\,e^7+A\,a^3\,e^8+3\,C\,a^2\,c\,d^4\,e^4-3\,B\,a^2\,c\,d^3\,e^5+3\,A\,a^2\,c\,d^2\,e^6+3\,C\,a\,c^2\,d^6\,e^2-3\,B\,a\,c^2\,d^5\,e^3+3\,A\,a\,c^2\,d^4\,e^4+C\,c^3\,d^8-B\,c^3\,d^7\,e+A\,c^3\,d^6\,e^2\right)}{e^9}+\frac{C\,c^3\,x^8}{8\,e}","Not used",1,"x*((B*a^3)/e - (d*((C*a^3 + 3*A*a^2*c)/e + (d*((d*((d*((d*((A*c^3 + 3*C*a*c^2)/e - (d*((B*c^3)/e - (C*c^3*d)/e^2))/e))/e - (3*B*a*c^2)/e))/e + (3*a*c*(A*c + C*a))/e))/e - (3*B*a^2*c)/e))/e))/e) + x^7*((B*c^3)/(7*e) - (C*c^3*d)/(7*e^2)) - x^5*((d*((A*c^3 + 3*C*a*c^2)/e - (d*((B*c^3)/e - (C*c^3*d)/e^2))/e))/(5*e) - (3*B*a*c^2)/(5*e)) + x^4*((d*((d*((A*c^3 + 3*C*a*c^2)/e - (d*((B*c^3)/e - (C*c^3*d)/e^2))/e))/e - (3*B*a*c^2)/e))/(4*e) + (3*a*c*(A*c + C*a))/(4*e)) + x^2*((C*a^3 + 3*A*a^2*c)/(2*e) + (d*((d*((d*((d*((A*c^3 + 3*C*a*c^2)/e - (d*((B*c^3)/e - (C*c^3*d)/e^2))/e))/e - (3*B*a*c^2)/e))/e + (3*a*c*(A*c + C*a))/e))/e - (3*B*a^2*c)/e))/(2*e)) + x^6*((A*c^3 + 3*C*a*c^2)/(6*e) - (d*((B*c^3)/e - (C*c^3*d)/e^2))/(6*e)) - x^3*((d*((d*((d*((A*c^3 + 3*C*a*c^2)/e - (d*((B*c^3)/e - (C*c^3*d)/e^2))/e))/e - (3*B*a*c^2)/e))/e + (3*a*c*(A*c + C*a))/e))/(3*e) - (B*a^2*c)/e) + (log(d + e*x)*(A*a^3*e^8 + C*c^3*d^8 - B*a^3*d*e^7 - B*c^3*d^7*e + A*c^3*d^6*e^2 + C*a^3*d^2*e^6 + 3*A*a*c^2*d^4*e^4 + 3*A*a^2*c*d^2*e^6 - 3*B*a*c^2*d^5*e^3 - 3*B*a^2*c*d^3*e^5 + 3*C*a*c^2*d^6*e^2 + 3*C*a^2*c*d^4*e^4))/e^9 + (C*c^3*x^8)/(8*e)","B"
37,1,1511,486,3.985791,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x + C*x^2))/(d + e*x)^2,x)","x\,\left(\frac{C\,a^3+3\,A\,c\,a^2}{e^2}+\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^2}+\frac{C\,c^3\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^2}+\frac{C\,c^3\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e^2}+\frac{3\,B\,a\,c^2}{e^2}\right)}{e}+\frac{3\,a\,c\,\left(A\,c+C\,a\right)}{e^2}\right)}{e}+\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^2}+\frac{C\,c^3\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e^2}+\frac{3\,B\,a\,c^2}{e^2}\right)}{e^2}-\frac{3\,B\,a^2\,c}{e^2}\right)}{e}-\frac{d^2\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^2}+\frac{C\,c^3\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^2}+\frac{C\,c^3\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e^2}+\frac{3\,B\,a\,c^2}{e^2}\right)}{e}+\frac{3\,a\,c\,\left(A\,c+C\,a\right)}{e^2}\right)}{e^2}\right)+x^4\,\left(\frac{d\,\left(\frac{2\,d\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^2}+\frac{C\,c^3\,d^2}{e^4}\right)}{2\,e}-\frac{d^2\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{4\,e^2}+\frac{3\,B\,a\,c^2}{4\,e^2}\right)-x^2\,\left(\frac{d\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^2}+\frac{C\,c^3\,d^2}{e^4}\right)}{e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^2}+\frac{C\,c^3\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e^2}+\frac{3\,B\,a\,c^2}{e^2}\right)}{e}+\frac{3\,a\,c\,\left(A\,c+C\,a\right)}{e^2}\right)}{e}+\frac{d^2\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^2}+\frac{C\,c^3\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e^2}+\frac{3\,B\,a\,c^2}{e^2}\right)}{2\,e^2}-\frac{3\,B\,a^2\,c}{2\,e^2}\right)+x^6\,\left(\frac{B\,c^3}{6\,e^2}-\frac{C\,c^3\,d}{3\,e^3}\right)-x^5\,\left(\frac{2\,d\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{5\,e}-\frac{A\,c^3+3\,C\,a\,c^2}{5\,e^2}+\frac{C\,c^3\,d^2}{5\,e^4}\right)+x^3\,\left(\frac{d^2\,\left(\frac{2\,d\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^2}+\frac{C\,c^3\,d^2}{e^4}\right)}{3\,e^2}-\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{2\,d\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^2}+\frac{C\,c^3\,d^2}{e^4}\right)}{e}-\frac{d^2\,\left(\frac{B\,c^3}{e^2}-\frac{2\,C\,c^3\,d}{e^3}\right)}{e^2}+\frac{3\,B\,a\,c^2}{e^2}\right)}{3\,e}+\frac{a\,c\,\left(A\,c+C\,a\right)}{e^2}\right)-\frac{C\,a^3\,d^2\,e^6-B\,a^3\,d\,e^7+A\,a^3\,e^8+3\,C\,a^2\,c\,d^4\,e^4-3\,B\,a^2\,c\,d^3\,e^5+3\,A\,a^2\,c\,d^2\,e^6+3\,C\,a\,c^2\,d^6\,e^2-3\,B\,a\,c^2\,d^5\,e^3+3\,A\,a\,c^2\,d^4\,e^4+C\,c^3\,d^8-B\,c^3\,d^7\,e+A\,c^3\,d^6\,e^2}{e\,\left(x\,e^9+d\,e^8\right)}-\frac{\ln\left(d+e\,x\right)\,\left(2\,C\,a^3\,d\,e^6-B\,a^3\,e^7+12\,C\,a^2\,c\,d^3\,e^4-9\,B\,a^2\,c\,d^2\,e^5+6\,A\,a^2\,c\,d\,e^6+18\,C\,a\,c^2\,d^5\,e^2-15\,B\,a\,c^2\,d^4\,e^3+12\,A\,a\,c^2\,d^3\,e^4+8\,C\,c^3\,d^7-7\,B\,c^3\,d^6\,e+6\,A\,c^3\,d^5\,e^2\right)}{e^9}+\frac{C\,c^3\,x^7}{7\,e^2}","Not used",1,"x*((C*a^3 + 3*A*a^2*c)/e^2 + (2*d*((2*d*((d^2*((2*d*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e - (A*c^3 + 3*C*a*c^2)/e^2 + (C*c^3*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e - (A*c^3 + 3*C*a*c^2)/e^2 + (C*c^3*d^2)/e^4))/e - (d^2*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e^2 + (3*B*a*c^2)/e^2))/e + (3*a*c*(A*c + C*a))/e^2))/e + (d^2*((2*d*((2*d*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e - (A*c^3 + 3*C*a*c^2)/e^2 + (C*c^3*d^2)/e^4))/e - (d^2*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e^2 + (3*B*a*c^2)/e^2))/e^2 - (3*B*a^2*c)/e^2))/e - (d^2*((d^2*((2*d*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e - (A*c^3 + 3*C*a*c^2)/e^2 + (C*c^3*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e - (A*c^3 + 3*C*a*c^2)/e^2 + (C*c^3*d^2)/e^4))/e - (d^2*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e^2 + (3*B*a*c^2)/e^2))/e + (3*a*c*(A*c + C*a))/e^2))/e^2) + x^4*((d*((2*d*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e - (A*c^3 + 3*C*a*c^2)/e^2 + (C*c^3*d^2)/e^4))/(2*e) - (d^2*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/(4*e^2) + (3*B*a*c^2)/(4*e^2)) - x^2*((d*((d^2*((2*d*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e - (A*c^3 + 3*C*a*c^2)/e^2 + (C*c^3*d^2)/e^4))/e^2 - (2*d*((2*d*((2*d*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e - (A*c^3 + 3*C*a*c^2)/e^2 + (C*c^3*d^2)/e^4))/e - (d^2*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e^2 + (3*B*a*c^2)/e^2))/e + (3*a*c*(A*c + C*a))/e^2))/e + (d^2*((2*d*((2*d*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e - (A*c^3 + 3*C*a*c^2)/e^2 + (C*c^3*d^2)/e^4))/e - (d^2*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e^2 + (3*B*a*c^2)/e^2))/(2*e^2) - (3*B*a^2*c)/(2*e^2)) + x^6*((B*c^3)/(6*e^2) - (C*c^3*d)/(3*e^3)) - x^5*((2*d*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/(5*e) - (A*c^3 + 3*C*a*c^2)/(5*e^2) + (C*c^3*d^2)/(5*e^4)) + x^3*((d^2*((2*d*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e - (A*c^3 + 3*C*a*c^2)/e^2 + (C*c^3*d^2)/e^4))/(3*e^2) - (2*d*((2*d*((2*d*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e - (A*c^3 + 3*C*a*c^2)/e^2 + (C*c^3*d^2)/e^4))/e - (d^2*((B*c^3)/e^2 - (2*C*c^3*d)/e^3))/e^2 + (3*B*a*c^2)/e^2))/(3*e) + (a*c*(A*c + C*a))/e^2) - (A*a^3*e^8 + C*c^3*d^8 - B*a^3*d*e^7 - B*c^3*d^7*e + A*c^3*d^6*e^2 + C*a^3*d^2*e^6 + 3*A*a*c^2*d^4*e^4 + 3*A*a^2*c*d^2*e^6 - 3*B*a*c^2*d^5*e^3 - 3*B*a^2*c*d^3*e^5 + 3*C*a*c^2*d^6*e^2 + 3*C*a^2*c*d^4*e^4)/(e*(d*e^8 + e^9*x)) - (log(d + e*x)*(8*C*c^3*d^7 - B*a^3*e^7 + 2*C*a^3*d*e^6 - 7*B*c^3*d^6*e + 6*A*c^3*d^5*e^2 + 12*A*a*c^2*d^3*e^4 - 15*B*a*c^2*d^4*e^3 - 9*B*a^2*c*d^2*e^5 + 18*C*a*c^2*d^5*e^2 + 12*C*a^2*c*d^3*e^4 + 6*A*a^2*c*d*e^6))/e^9 + (C*c^3*x^7)/(7*e^2)","B"
38,1,1290,466,3.936442,"\text{Not used}","int(((a + c*x^2)^3*(A + B*x + C*x^2))/(d + e*x)^3,x)","x^3\,\left(\frac{d\,\left(\frac{3\,d\,\left(\frac{B\,c^3}{e^3}-\frac{3\,C\,c^3\,d}{e^4}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^3}+\frac{3\,C\,c^3\,d^2}{e^5}\right)}{e}-\frac{d^2\,\left(\frac{B\,c^3}{e^3}-\frac{3\,C\,c^3\,d}{e^4}\right)}{e^2}+\frac{B\,a\,c^2}{e^3}-\frac{C\,c^3\,d^3}{3\,e^6}\right)+x\,\left(\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{B\,c^3}{e^3}-\frac{3\,C\,c^3\,d}{e^4}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^3}+\frac{3\,C\,c^3\,d^2}{e^5}\right)}{e}-\frac{3\,d^2\,\left(\frac{B\,c^3}{e^3}-\frac{3\,C\,c^3\,d}{e^4}\right)}{e^2}+\frac{3\,B\,a\,c^2}{e^3}-\frac{C\,c^3\,d^3}{e^6}\right)}{e}-\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{B\,c^3}{e^3}-\frac{3\,C\,c^3\,d}{e^4}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^3}+\frac{3\,C\,c^3\,d^2}{e^5}\right)}{e^2}+\frac{d^3\,\left(\frac{B\,c^3}{e^3}-\frac{3\,C\,c^3\,d}{e^4}\right)}{e^3}-\frac{3\,a\,c\,\left(A\,c+C\,a\right)}{e^3}\right)}{e}+\frac{d^3\,\left(\frac{3\,d\,\left(\frac{B\,c^3}{e^3}-\frac{3\,C\,c^3\,d}{e^4}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^3}+\frac{3\,C\,c^3\,d^2}{e^5}\right)}{e^3}-\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{B\,c^3}{e^3}-\frac{3\,C\,c^3\,d}{e^4}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^3}+\frac{3\,C\,c^3\,d^2}{e^5}\right)}{e}-\frac{3\,d^2\,\left(\frac{B\,c^3}{e^3}-\frac{3\,C\,c^3\,d}{e^4}\right)}{e^2}+\frac{3\,B\,a\,c^2}{e^3}-\frac{C\,c^3\,d^3}{e^6}\right)}{e^2}+\frac{3\,B\,a^2\,c}{e^3}\right)+x^5\,\left(\frac{B\,c^3}{5\,e^3}-\frac{3\,C\,c^3\,d}{5\,e^4}\right)-x^4\,\left(\frac{3\,d\,\left(\frac{B\,c^3}{e^3}-\frac{3\,C\,c^3\,d}{e^4}\right)}{4\,e}-\frac{A\,c^3+3\,C\,a\,c^2}{4\,e^3}+\frac{3\,C\,c^3\,d^2}{4\,e^5}\right)-x^2\,\left(\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{3\,d\,\left(\frac{B\,c^3}{e^3}-\frac{3\,C\,c^3\,d}{e^4}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^3}+\frac{3\,C\,c^3\,d^2}{e^5}\right)}{e}-\frac{3\,d^2\,\left(\frac{B\,c^3}{e^3}-\frac{3\,C\,c^3\,d}{e^4}\right)}{e^2}+\frac{3\,B\,a\,c^2}{e^3}-\frac{C\,c^3\,d^3}{e^6}\right)}{2\,e}-\frac{3\,d^2\,\left(\frac{3\,d\,\left(\frac{B\,c^3}{e^3}-\frac{3\,C\,c^3\,d}{e^4}\right)}{e}-\frac{A\,c^3+3\,C\,a\,c^2}{e^3}+\frac{3\,C\,c^3\,d^2}{e^5}\right)}{2\,e^2}+\frac{d^3\,\left(\frac{B\,c^3}{e^3}-\frac{3\,C\,c^3\,d}{e^4}\right)}{2\,e^3}-\frac{3\,a\,c\,\left(A\,c+C\,a\right)}{2\,e^3}\right)+\frac{\frac{3\,C\,a^3\,d^2\,e^6-B\,a^3\,d\,e^7-A\,a^3\,e^8+21\,C\,a^2\,c\,d^4\,e^4-15\,B\,a^2\,c\,d^3\,e^5+9\,A\,a^2\,c\,d^2\,e^6+33\,C\,a\,c^2\,d^6\,e^2-27\,B\,a\,c^2\,d^5\,e^3+21\,A\,a\,c^2\,d^4\,e^4+15\,C\,c^3\,d^8-13\,B\,c^3\,d^7\,e+11\,A\,c^3\,d^6\,e^2}{2\,e}+x\,\left(2\,C\,a^3\,d\,e^6-B\,a^3\,e^7+12\,C\,a^2\,c\,d^3\,e^4-9\,B\,a^2\,c\,d^2\,e^5+6\,A\,a^2\,c\,d\,e^6+18\,C\,a\,c^2\,d^5\,e^2-15\,B\,a\,c^2\,d^4\,e^3+12\,A\,a\,c^2\,d^3\,e^4+8\,C\,c^3\,d^7-7\,B\,c^3\,d^6\,e+6\,A\,c^3\,d^5\,e^2\right)}{d^2\,e^8+2\,d\,e^9\,x+e^{10}\,x^2}+\frac{\ln\left(d+e\,x\right)\,\left(C\,a^3\,e^6+18\,C\,a^2\,c\,d^2\,e^4-9\,B\,a^2\,c\,d\,e^5+3\,A\,a^2\,c\,e^6+45\,C\,a\,c^2\,d^4\,e^2-30\,B\,a\,c^2\,d^3\,e^3+18\,A\,a\,c^2\,d^2\,e^4+28\,C\,c^3\,d^6-21\,B\,c^3\,d^5\,e+15\,A\,c^3\,d^4\,e^2\right)}{e^9}+\frac{C\,c^3\,x^6}{6\,e^3}","Not used",1,"x^3*((d*((3*d*((B*c^3)/e^3 - (3*C*c^3*d)/e^4))/e - (A*c^3 + 3*C*a*c^2)/e^3 + (3*C*c^3*d^2)/e^5))/e - (d^2*((B*c^3)/e^3 - (3*C*c^3*d)/e^4))/e^2 + (B*a*c^2)/e^3 - (C*c^3*d^3)/(3*e^6)) + x*((3*d*((3*d*((3*d*((3*d*((B*c^3)/e^3 - (3*C*c^3*d)/e^4))/e - (A*c^3 + 3*C*a*c^2)/e^3 + (3*C*c^3*d^2)/e^5))/e - (3*d^2*((B*c^3)/e^3 - (3*C*c^3*d)/e^4))/e^2 + (3*B*a*c^2)/e^3 - (C*c^3*d^3)/e^6))/e - (3*d^2*((3*d*((B*c^3)/e^3 - (3*C*c^3*d)/e^4))/e - (A*c^3 + 3*C*a*c^2)/e^3 + (3*C*c^3*d^2)/e^5))/e^2 + (d^3*((B*c^3)/e^3 - (3*C*c^3*d)/e^4))/e^3 - (3*a*c*(A*c + C*a))/e^3))/e + (d^3*((3*d*((B*c^3)/e^3 - (3*C*c^3*d)/e^4))/e - (A*c^3 + 3*C*a*c^2)/e^3 + (3*C*c^3*d^2)/e^5))/e^3 - (3*d^2*((3*d*((3*d*((B*c^3)/e^3 - (3*C*c^3*d)/e^4))/e - (A*c^3 + 3*C*a*c^2)/e^3 + (3*C*c^3*d^2)/e^5))/e - (3*d^2*((B*c^3)/e^3 - (3*C*c^3*d)/e^4))/e^2 + (3*B*a*c^2)/e^3 - (C*c^3*d^3)/e^6))/e^2 + (3*B*a^2*c)/e^3) + x^5*((B*c^3)/(5*e^3) - (3*C*c^3*d)/(5*e^4)) - x^4*((3*d*((B*c^3)/e^3 - (3*C*c^3*d)/e^4))/(4*e) - (A*c^3 + 3*C*a*c^2)/(4*e^3) + (3*C*c^3*d^2)/(4*e^5)) - x^2*((3*d*((3*d*((3*d*((B*c^3)/e^3 - (3*C*c^3*d)/e^4))/e - (A*c^3 + 3*C*a*c^2)/e^3 + (3*C*c^3*d^2)/e^5))/e - (3*d^2*((B*c^3)/e^3 - (3*C*c^3*d)/e^4))/e^2 + (3*B*a*c^2)/e^3 - (C*c^3*d^3)/e^6))/(2*e) - (3*d^2*((3*d*((B*c^3)/e^3 - (3*C*c^3*d)/e^4))/e - (A*c^3 + 3*C*a*c^2)/e^3 + (3*C*c^3*d^2)/e^5))/(2*e^2) + (d^3*((B*c^3)/e^3 - (3*C*c^3*d)/e^4))/(2*e^3) - (3*a*c*(A*c + C*a))/(2*e^3)) + ((15*C*c^3*d^8 - A*a^3*e^8 - B*a^3*d*e^7 - 13*B*c^3*d^7*e + 11*A*c^3*d^6*e^2 + 3*C*a^3*d^2*e^6 + 21*A*a*c^2*d^4*e^4 + 9*A*a^2*c*d^2*e^6 - 27*B*a*c^2*d^5*e^3 - 15*B*a^2*c*d^3*e^5 + 33*C*a*c^2*d^6*e^2 + 21*C*a^2*c*d^4*e^4)/(2*e) + x*(8*C*c^3*d^7 - B*a^3*e^7 + 2*C*a^3*d*e^6 - 7*B*c^3*d^6*e + 6*A*c^3*d^5*e^2 + 12*A*a*c^2*d^3*e^4 - 15*B*a*c^2*d^4*e^3 - 9*B*a^2*c*d^2*e^5 + 18*C*a*c^2*d^5*e^2 + 12*C*a^2*c*d^3*e^4 + 6*A*a^2*c*d*e^6))/(d^2*e^8 + e^10*x^2 + 2*d*e^9*x) + (log(d + e*x)*(C*a^3*e^6 + 28*C*c^3*d^6 + 3*A*a^2*c*e^6 - 21*B*c^3*d^5*e + 15*A*c^3*d^4*e^2 + 18*A*a*c^2*d^2*e^4 - 30*B*a*c^2*d^3*e^3 + 45*C*a*c^2*d^4*e^2 + 18*C*a^2*c*d^2*e^4 - 9*B*a^2*c*d*e^5))/e^9 + (C*c^3*x^6)/(6*e^3)","B"
39,1,85,17,0.077169,"\text{Not used}","int(((a + b*x^2)*(4*b*c*x - a*d + 3*b*d*x^2))/(c + d*x)^2,x)","x\,\left(\frac{b^2\,c^2}{d^3}+\frac{2\,a\,b}{d}\right)+\frac{b^2\,x^3}{d}+\frac{a^2\,d^4+2\,a\,b\,c^2\,d^2+b^2\,c^4}{d\,\left(x\,d^4+c\,d^3\right)}-\frac{b^2\,c\,x^2}{d^2}","Not used",1,"x*((b^2*c^2)/d^3 + (2*a*b)/d) + (b^2*x^3)/d + (a^2*d^4 + b^2*c^4 + 2*a*b*c^2*d^2)/(d*(c*d^3 + d^4*x)) - (b^2*c*x^2)/d^2","B"
40,1,85,17,3.835779,"\text{Not used}","int(-((a*d - b*x*(4*c + 3*d*x))*(a + b*x^2))/(c + d*x)^2,x)","x\,\left(\frac{b^2\,c^2}{d^3}+\frac{2\,a\,b}{d}\right)+\frac{b^2\,x^3}{d}+\frac{a^2\,d^4+2\,a\,b\,c^2\,d^2+b^2\,c^4}{d\,\left(x\,d^4+c\,d^3\right)}-\frac{b^2\,c\,x^2}{d^2}","Not used",1,"x*((b^2*c^2)/d^3 + (2*a*b)/d) + (b^2*x^3)/d + (a^2*d^4 + b^2*c^4 + 2*a*b*c^2*d^2)/(d*(c*d^3 + d^4*x)) - (b^2*c*x^2)/d^2","B"
41,1,252,17,3.776522,"\text{Not used}","int(((a + b*x^2)^2*(6*b*c*x - a*d + 5*b*d*x^2))/(c + d*x)^2,x)","x^3\,\left(\frac{3\,a\,b^2}{d}+\frac{b^3\,c^2}{d^3}\right)-x\,\left(\frac{2\,c\,\left(\frac{4\,b^3\,c^3}{d^4}-\frac{2\,c\,\left(\frac{9\,a\,b^2}{d}+\frac{3\,b^3\,c^2}{d^3}\right)}{d}+\frac{12\,a\,b^2\,c}{d^2}\right)}{d}+\frac{c^2\,\left(\frac{9\,a\,b^2}{d}+\frac{3\,b^3\,c^2}{d^3}\right)}{d^2}-\frac{3\,a^2\,b}{d}\right)+x^2\,\left(\frac{2\,b^3\,c^3}{d^4}-\frac{c\,\left(\frac{9\,a\,b^2}{d}+\frac{3\,b^3\,c^2}{d^3}\right)}{d}+\frac{6\,a\,b^2\,c}{d^2}\right)+\frac{a^3\,d^6+3\,a^2\,b\,c^2\,d^4+3\,a\,b^2\,c^4\,d^2+b^3\,c^6}{d\,\left(x\,d^6+c\,d^5\right)}+\frac{b^3\,x^5}{d}-\frac{b^3\,c\,x^4}{d^2}","Not used",1,"x^3*((3*a*b^2)/d + (b^3*c^2)/d^3) - x*((2*c*((4*b^3*c^3)/d^4 - (2*c*((9*a*b^2)/d + (3*b^3*c^2)/d^3))/d + (12*a*b^2*c)/d^2))/d + (c^2*((9*a*b^2)/d + (3*b^3*c^2)/d^3))/d^2 - (3*a^2*b)/d) + x^2*((2*b^3*c^3)/d^4 - (c*((9*a*b^2)/d + (3*b^3*c^2)/d^3))/d + (6*a*b^2*c)/d^2) + (a^3*d^6 + b^3*c^6 + 3*a*b^2*c^4*d^2 + 3*a^2*b*c^2*d^4)/(d*(c*d^5 + d^6*x)) + (b^3*x^5)/d - (b^3*c*x^4)/d^2","B"
42,1,252,17,0.048744,"\text{Not used}","int(-((a*d - b*x*(6*c + 5*d*x))*(a + b*x^2)^2)/(c + d*x)^2,x)","x^3\,\left(\frac{3\,a\,b^2}{d}+\frac{b^3\,c^2}{d^3}\right)-x\,\left(\frac{2\,c\,\left(\frac{4\,b^3\,c^3}{d^4}-\frac{2\,c\,\left(\frac{9\,a\,b^2}{d}+\frac{3\,b^3\,c^2}{d^3}\right)}{d}+\frac{12\,a\,b^2\,c}{d^2}\right)}{d}+\frac{c^2\,\left(\frac{9\,a\,b^2}{d}+\frac{3\,b^3\,c^2}{d^3}\right)}{d^2}-\frac{3\,a^2\,b}{d}\right)+x^2\,\left(\frac{2\,b^3\,c^3}{d^4}-\frac{c\,\left(\frac{9\,a\,b^2}{d}+\frac{3\,b^3\,c^2}{d^3}\right)}{d}+\frac{6\,a\,b^2\,c}{d^2}\right)+\frac{a^3\,d^6+3\,a^2\,b\,c^2\,d^4+3\,a\,b^2\,c^4\,d^2+b^3\,c^6}{d\,\left(x\,d^6+c\,d^5\right)}+\frac{b^3\,x^5}{d}-\frac{b^3\,c\,x^4}{d^2}","Not used",1,"x^3*((3*a*b^2)/d + (b^3*c^2)/d^3) - x*((2*c*((4*b^3*c^3)/d^4 - (2*c*((9*a*b^2)/d + (3*b^3*c^2)/d^3))/d + (12*a*b^2*c)/d^2))/d + (c^2*((9*a*b^2)/d + (3*b^3*c^2)/d^3))/d^2 - (3*a^2*b)/d) + x^2*((2*b^3*c^3)/d^4 - (c*((9*a*b^2)/d + (3*b^3*c^2)/d^3))/d + (6*a*b^2*c)/d^2) + (a^3*d^6 + b^3*c^6 + 3*a*b^2*c^4*d^2 + 3*a^2*b*c^2*d^4)/(d*(c*d^5 + d^6*x)) + (b^3*x^5)/d - (b^3*c*x^4)/d^2","B"
43,1,277,240,3.989933,"\text{Not used}","int(((d + e*x)^3*(A + B*x + C*x^2))/(a + c*x^2),x)","x^2\,\left(\frac{3\,C\,d^2\,e+3\,B\,d\,e^2+A\,e^3}{2\,c}-\frac{C\,a\,e^3}{2\,c^2}\right)+x\,\left(\frac{C\,d^3+3\,B\,d^2\,e+3\,A\,d\,e^2}{c}-\frac{a\,\left(B\,e^3+3\,C\,d\,e^2\right)}{c^2}\right)+\frac{x^3\,\left(B\,e^3+3\,C\,d\,e^2\right)}{3\,c}+\frac{C\,e^3\,x^4}{4\,c}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(3\,C\,a^2\,d\,e^2+B\,a^2\,e^3-C\,a\,c\,d^3-3\,B\,a\,c\,d^2\,e-3\,A\,a\,c\,d\,e^2+A\,c^2\,d^3\right)}{\sqrt{a}\,c^{5/2}}+\frac{\ln\left(c\,x^2+a\right)\,\left(4\,C\,a^3\,c^3\,e^3-12\,C\,a^2\,c^4\,d^2\,e-12\,B\,a^2\,c^4\,d\,e^2-4\,A\,a^2\,c^4\,e^3+4\,B\,a\,c^5\,d^3+12\,A\,a\,c^5\,d^2\,e\right)}{8\,a\,c^6}","Not used",1,"x^2*((A*e^3 + 3*B*d*e^2 + 3*C*d^2*e)/(2*c) - (C*a*e^3)/(2*c^2)) + x*((C*d^3 + 3*A*d*e^2 + 3*B*d^2*e)/c - (a*(B*e^3 + 3*C*d*e^2))/c^2) + (x^3*(B*e^3 + 3*C*d*e^2))/(3*c) + (C*e^3*x^4)/(4*c) + (atan((c^(1/2)*x)/a^(1/2))*(A*c^2*d^3 + B*a^2*e^3 - C*a*c*d^3 + 3*C*a^2*d*e^2 - 3*A*a*c*d*e^2 - 3*B*a*c*d^2*e))/(a^(1/2)*c^(5/2)) + (log(a + c*x^2)*(4*B*a*c^5*d^3 - 4*A*a^2*c^4*e^3 + 4*C*a^3*c^3*e^3 - 12*B*a^2*c^4*d*e^2 - 12*C*a^2*c^4*d^2*e + 12*A*a*c^5*d^2*e))/(8*a*c^6)","B"
44,1,181,168,3.898639,"\text{Not used}","int(((d + e*x)^2*(A + B*x + C*x^2))/(a + c*x^2),x)","x\,\left(\frac{C\,d^2+2\,B\,d\,e+A\,e^2}{c}-\frac{C\,a\,e^2}{c^2}\right)+\frac{x^2\,\left(B\,e^2+2\,C\,d\,e\right)}{2\,c}+\frac{C\,e^2\,x^3}{3\,c}-\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(-C\,a^2\,e^2+C\,a\,c\,d^2+2\,B\,a\,c\,d\,e+A\,a\,c\,e^2-A\,c^2\,d^2\right)}{\sqrt{a}\,c^{5/2}}+\frac{\ln\left(c\,x^2+a\right)\,\left(-8\,C\,a^2\,c^3\,d\,e-4\,B\,a^2\,c^3\,e^2+4\,B\,a\,c^4\,d^2+8\,A\,a\,c^4\,d\,e\right)}{8\,a\,c^5}","Not used",1,"x*((A*e^2 + C*d^2 + 2*B*d*e)/c - (C*a*e^2)/c^2) + (x^2*(B*e^2 + 2*C*d*e))/(2*c) + (C*e^2*x^3)/(3*c) - (atan((c^(1/2)*x)/a^(1/2))*(A*a*c*e^2 - C*a^2*e^2 - A*c^2*d^2 + C*a*c*d^2 + 2*B*a*c*d*e))/(a^(1/2)*c^(5/2)) + (log(a + c*x^2)*(4*B*a*c^4*d^2 - 4*B*a^2*c^3*e^2 + 8*A*a*c^4*d*e - 8*C*a^2*c^3*d*e))/(8*a*c^5)","B"
45,1,97,93,3.779574,"\text{Not used}","int(((d + e*x)*(A + B*x + C*x^2))/(a + c*x^2),x)","\frac{x\,\left(B\,e+C\,d\right)}{c}-\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(B\,a\,e-A\,c\,d+C\,a\,d\right)}{\sqrt{a}\,c^{3/2}}+\frac{C\,e\,x^2}{2\,c}+\frac{\ln\left(c\,x^2+a\right)\,\left(4\,A\,a\,c^3\,e+4\,B\,a\,c^3\,d-4\,C\,a^2\,c^2\,e\right)}{8\,a\,c^4}","Not used",1,"(x*(B*e + C*d))/c - (atan((c^(1/2)*x)/a^(1/2))*(B*a*e - A*c*d + C*a*d))/(a^(1/2)*c^(3/2)) + (C*e*x^2)/(2*c) + (log(a + c*x^2)*(4*A*a*c^3*e + 4*B*a*c^3*d - 4*C*a^2*c^2*e))/(8*a*c^4)","B"
46,1,56,55,3.730532,"\text{Not used}","int((A + B*x + C*x^2)/(a + c*x^2),x)","\frac{B\,\ln\left(c\,x^2+a\right)}{2\,c}+\frac{C\,x}{c}+\frac{A\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{c}}-\frac{C\,\sqrt{a}\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{c^{3/2}}","Not used",1,"(B*log(a + c*x^2))/(2*c) + (C*x)/c + (A*atan((c^(1/2)*x)/a^(1/2)))/(a^(1/2)*c^(1/2)) - (C*a^(1/2)*atan((c^(1/2)*x)/a^(1/2)))/c^(3/2)","B"
47,1,840,133,6.490284,"\text{Not used}","int((A + B*x + C*x^2)/((a + c*x^2)*(d + e*x)),x)","\frac{\ln\left(d+e\,x\right)\,\left(C\,d^2-B\,d\,e+A\,e^2\right)}{c\,d^2\,e+a\,e^3}-\frac{\ln\left(x\,\left(c\,e\,B^2-c\,d\,B\,C+a\,e\,C^2-A\,c\,e\,C\right)+C^2\,a\,d+\frac{\left(c^2\,\left(\frac{A\,a\,e}{2}-\frac{B\,a\,d}{2}\right)-c\,\left(\frac{C\,a^2\,e}{2}-\frac{A\,d\,\sqrt{-a\,c^3}}{2}\right)+\frac{B\,a\,e\,\sqrt{-a\,c^3}}{2}-\frac{C\,a\,d\,\sqrt{-a\,c^3}}{2}\right)\,\left(\frac{\left(x\,\left(6\,a\,c^2\,e^3-2\,c^3\,d^2\,e\right)+8\,a\,c^2\,d\,e^2\right)\,\left(c^2\,\left(\frac{A\,a\,e}{2}-\frac{B\,a\,d}{2}\right)-c\,\left(\frac{C\,a^2\,e}{2}-\frac{A\,d\,\sqrt{-a\,c^3}}{2}\right)+\frac{B\,a\,e\,\sqrt{-a\,c^3}}{2}-\frac{C\,a\,d\,\sqrt{-a\,c^3}}{2}\right)}{a^2\,c^2\,e^2+a\,c^3\,d^2}-x\,\left(2\,C\,c^2\,d^2-B\,c^2\,d\,e+3\,A\,c^2\,e^2-5\,C\,a\,c\,e^2\right)+B\,a\,c\,e^2-A\,c^2\,d\,e+5\,C\,a\,c\,d\,e\right)}{a^2\,c^2\,e^2+a\,c^3\,d^2}+A\,B\,c\,e-A\,C\,c\,d\right)\,\left(c^2\,\left(\frac{A\,a\,e}{2}-\frac{B\,a\,d}{2}\right)-c\,\left(\frac{C\,a^2\,e}{2}-\frac{A\,d\,\sqrt{-a\,c^3}}{2}\right)+\frac{B\,a\,e\,\sqrt{-a\,c^3}}{2}-\frac{C\,a\,d\,\sqrt{-a\,c^3}}{2}\right)}{a^2\,c^2\,e^2+a\,c^3\,d^2}-\frac{\ln\left(x\,\left(c\,e\,B^2-c\,d\,B\,C+a\,e\,C^2-A\,c\,e\,C\right)+C^2\,a\,d+\frac{\left(c^2\,\left(\frac{A\,a\,e}{2}-\frac{B\,a\,d}{2}\right)-c\,\left(\frac{C\,a^2\,e}{2}+\frac{A\,d\,\sqrt{-a\,c^3}}{2}\right)-\frac{B\,a\,e\,\sqrt{-a\,c^3}}{2}+\frac{C\,a\,d\,\sqrt{-a\,c^3}}{2}\right)\,\left(\frac{\left(x\,\left(6\,a\,c^2\,e^3-2\,c^3\,d^2\,e\right)+8\,a\,c^2\,d\,e^2\right)\,\left(c^2\,\left(\frac{A\,a\,e}{2}-\frac{B\,a\,d}{2}\right)-c\,\left(\frac{C\,a^2\,e}{2}+\frac{A\,d\,\sqrt{-a\,c^3}}{2}\right)-\frac{B\,a\,e\,\sqrt{-a\,c^3}}{2}+\frac{C\,a\,d\,\sqrt{-a\,c^3}}{2}\right)}{a^2\,c^2\,e^2+a\,c^3\,d^2}-x\,\left(2\,C\,c^2\,d^2-B\,c^2\,d\,e+3\,A\,c^2\,e^2-5\,C\,a\,c\,e^2\right)+B\,a\,c\,e^2-A\,c^2\,d\,e+5\,C\,a\,c\,d\,e\right)}{a^2\,c^2\,e^2+a\,c^3\,d^2}+A\,B\,c\,e-A\,C\,c\,d\right)\,\left(c^2\,\left(\frac{A\,a\,e}{2}-\frac{B\,a\,d}{2}\right)-c\,\left(\frac{C\,a^2\,e}{2}+\frac{A\,d\,\sqrt{-a\,c^3}}{2}\right)-\frac{B\,a\,e\,\sqrt{-a\,c^3}}{2}+\frac{C\,a\,d\,\sqrt{-a\,c^3}}{2}\right)}{a^2\,c^2\,e^2+a\,c^3\,d^2}","Not used",1,"(log(d + e*x)*(A*e^2 + C*d^2 - B*d*e))/(a*e^3 + c*d^2*e) - (log(x*(C^2*a*e + B^2*c*e - A*C*c*e - B*C*c*d) + C^2*a*d + ((c^2*((A*a*e)/2 - (B*a*d)/2) - c*((C*a^2*e)/2 - (A*d*(-a*c^3)^(1/2))/2) + (B*a*e*(-a*c^3)^(1/2))/2 - (C*a*d*(-a*c^3)^(1/2))/2)*(((x*(6*a*c^2*e^3 - 2*c^3*d^2*e) + 8*a*c^2*d*e^2)*(c^2*((A*a*e)/2 - (B*a*d)/2) - c*((C*a^2*e)/2 - (A*d*(-a*c^3)^(1/2))/2) + (B*a*e*(-a*c^3)^(1/2))/2 - (C*a*d*(-a*c^3)^(1/2))/2))/(a*c^3*d^2 + a^2*c^2*e^2) - x*(3*A*c^2*e^2 + 2*C*c^2*d^2 - 5*C*a*c*e^2 - B*c^2*d*e) + B*a*c*e^2 - A*c^2*d*e + 5*C*a*c*d*e))/(a*c^3*d^2 + a^2*c^2*e^2) + A*B*c*e - A*C*c*d)*(c^2*((A*a*e)/2 - (B*a*d)/2) - c*((C*a^2*e)/2 - (A*d*(-a*c^3)^(1/2))/2) + (B*a*e*(-a*c^3)^(1/2))/2 - (C*a*d*(-a*c^3)^(1/2))/2))/(a*c^3*d^2 + a^2*c^2*e^2) - (log(x*(C^2*a*e + B^2*c*e - A*C*c*e - B*C*c*d) + C^2*a*d + ((c^2*((A*a*e)/2 - (B*a*d)/2) - c*((C*a^2*e)/2 + (A*d*(-a*c^3)^(1/2))/2) - (B*a*e*(-a*c^3)^(1/2))/2 + (C*a*d*(-a*c^3)^(1/2))/2)*(((x*(6*a*c^2*e^3 - 2*c^3*d^2*e) + 8*a*c^2*d*e^2)*(c^2*((A*a*e)/2 - (B*a*d)/2) - c*((C*a^2*e)/2 + (A*d*(-a*c^3)^(1/2))/2) - (B*a*e*(-a*c^3)^(1/2))/2 + (C*a*d*(-a*c^3)^(1/2))/2))/(a*c^3*d^2 + a^2*c^2*e^2) - x*(3*A*c^2*e^2 + 2*C*c^2*d^2 - 5*C*a*c*e^2 - B*c^2*d*e) + B*a*c*e^2 - A*c^2*d*e + 5*C*a*c*d*e))/(a*c^3*d^2 + a^2*c^2*e^2) + A*B*c*e - A*C*c*d)*(c^2*((A*a*e)/2 - (B*a*d)/2) - c*((C*a^2*e)/2 + (A*d*(-a*c^3)^(1/2))/2) - (B*a*e*(-a*c^3)^(1/2))/2 + (C*a*d*(-a*c^3)^(1/2))/2))/(a*c^3*d^2 + a^2*c^2*e^2)","B"
48,1,1199,214,6.773248,"\text{Not used}","int((A + B*x + C*x^2)/((a + c*x^2)*(d + e*x)^2),x)","\frac{\ln\left(C\,c\,d^4\,{\left(-a\,c\right)}^{3/2}-A\,a\,e^4\,{\left(-a\,c\right)}^{3/2}+3\,B\,a\,c^3\,d^4+3\,B\,a^3\,c\,e^4+A\,c^4\,d^4\,x+A\,c^3\,d^4\,\sqrt{-a\,c}-C\,a^3\,e^4\,\sqrt{-a\,c}-C\,a\,c^3\,d^4\,x-C\,a^3\,c\,e^4\,x+14\,A\,c\,d^2\,e^2\,{\left(-a\,c\right)}^{3/2}-14\,C\,a\,d^2\,e^2\,{\left(-a\,c\right)}^{3/2}-3\,B\,c^3\,d^4\,x\,\sqrt{-a\,c}+8\,A\,a^2\,c^2\,d\,e^3+8\,C\,a^2\,c^2\,d^3\,e+A\,a^2\,c^2\,e^4\,x-10\,B\,a^2\,c^2\,d^2\,e^2+8\,B\,a\,d\,e^3\,{\left(-a\,c\right)}^{3/2}-8\,B\,c\,d^3\,e\,{\left(-a\,c\right)}^{3/2}+3\,B\,a\,e^4\,x\,{\left(-a\,c\right)}^{3/2}-8\,A\,a\,c^3\,d^3\,e-8\,C\,a^3\,c\,d\,e^3+14\,C\,a^2\,c^2\,d^2\,e^2\,x+8\,A\,c\,d\,e^3\,x\,{\left(-a\,c\right)}^{3/2}-8\,C\,a\,d\,e^3\,x\,{\left(-a\,c\right)}^{3/2}+8\,C\,c\,d^3\,e\,x\,{\left(-a\,c\right)}^{3/2}+8\,B\,a\,c^3\,d^3\,e\,x+8\,A\,c^3\,d^3\,e\,x\,\sqrt{-a\,c}-10\,B\,c\,d^2\,e^2\,x\,{\left(-a\,c\right)}^{3/2}-14\,A\,a\,c^3\,d^2\,e^2\,x-8\,B\,a^2\,c^2\,d\,e^3\,x\right)\,\left(c^2\,\left(a\,\left(\frac{B\,d^2}{2}-A\,d\,e\right)+\frac{A\,d^2\,\sqrt{-a\,c}}{2}\right)-c\,\left(a^2\,\left(\frac{B\,e^2}{2}-C\,d\,e\right)+a\,\left(\frac{A\,e^2\,\sqrt{-a\,c}}{2}+\frac{C\,d^2\,\sqrt{-a\,c}}{2}-B\,d\,e\,\sqrt{-a\,c}\right)\right)+\frac{C\,a^2\,e^2\,\sqrt{-a\,c}}{2}\right)}{a^3\,c\,e^4+2\,a^2\,c^2\,d^2\,e^2+a\,c^3\,d^4}-\frac{\ln\left(d+e\,x\right)\,\left(c\,\left(B\,d^2-2\,A\,d\,e\right)-a\,\left(B\,e^2-2\,C\,d\,e\right)\right)}{a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4}-\frac{\ln\left(A\,a\,e^4\,{\left(-a\,c\right)}^{3/2}-C\,c\,d^4\,{\left(-a\,c\right)}^{3/2}+3\,B\,a\,c^3\,d^4+3\,B\,a^3\,c\,e^4+A\,c^4\,d^4\,x-A\,c^3\,d^4\,\sqrt{-a\,c}+C\,a^3\,e^4\,\sqrt{-a\,c}-C\,a\,c^3\,d^4\,x-C\,a^3\,c\,e^4\,x-14\,A\,c\,d^2\,e^2\,{\left(-a\,c\right)}^{3/2}+14\,C\,a\,d^2\,e^2\,{\left(-a\,c\right)}^{3/2}+3\,B\,c^3\,d^4\,x\,\sqrt{-a\,c}+8\,A\,a^2\,c^2\,d\,e^3+8\,C\,a^2\,c^2\,d^3\,e+A\,a^2\,c^2\,e^4\,x-10\,B\,a^2\,c^2\,d^2\,e^2-8\,B\,a\,d\,e^3\,{\left(-a\,c\right)}^{3/2}+8\,B\,c\,d^3\,e\,{\left(-a\,c\right)}^{3/2}-3\,B\,a\,e^4\,x\,{\left(-a\,c\right)}^{3/2}-8\,A\,a\,c^3\,d^3\,e-8\,C\,a^3\,c\,d\,e^3+14\,C\,a^2\,c^2\,d^2\,e^2\,x-8\,A\,c\,d\,e^3\,x\,{\left(-a\,c\right)}^{3/2}+8\,C\,a\,d\,e^3\,x\,{\left(-a\,c\right)}^{3/2}-8\,C\,c\,d^3\,e\,x\,{\left(-a\,c\right)}^{3/2}+8\,B\,a\,c^3\,d^3\,e\,x-8\,A\,c^3\,d^3\,e\,x\,\sqrt{-a\,c}+10\,B\,c\,d^2\,e^2\,x\,{\left(-a\,c\right)}^{3/2}-14\,A\,a\,c^3\,d^2\,e^2\,x-8\,B\,a^2\,c^2\,d\,e^3\,x\right)\,\left(c\,\left(a^2\,\left(\frac{B\,e^2}{2}-C\,d\,e\right)-a\,\left(\frac{A\,e^2\,\sqrt{-a\,c}}{2}+\frac{C\,d^2\,\sqrt{-a\,c}}{2}-B\,d\,e\,\sqrt{-a\,c}\right)\right)-c^2\,\left(a\,\left(\frac{B\,d^2}{2}-A\,d\,e\right)-\frac{A\,d^2\,\sqrt{-a\,c}}{2}\right)+\frac{C\,a^2\,e^2\,\sqrt{-a\,c}}{2}\right)}{a^3\,c\,e^4+2\,a^2\,c^2\,d^2\,e^2+a\,c^3\,d^4}-\frac{C\,d^2-B\,d\,e+A\,e^2}{e\,\left(c\,d^2+a\,e^2\right)\,\left(d+e\,x\right)}","Not used",1,"(log(C*c*d^4*(-a*c)^(3/2) - A*a*e^4*(-a*c)^(3/2) + 3*B*a*c^3*d^4 + 3*B*a^3*c*e^4 + A*c^4*d^4*x + A*c^3*d^4*(-a*c)^(1/2) - C*a^3*e^4*(-a*c)^(1/2) - C*a*c^3*d^4*x - C*a^3*c*e^4*x + 14*A*c*d^2*e^2*(-a*c)^(3/2) - 14*C*a*d^2*e^2*(-a*c)^(3/2) - 3*B*c^3*d^4*x*(-a*c)^(1/2) + 8*A*a^2*c^2*d*e^3 + 8*C*a^2*c^2*d^3*e + A*a^2*c^2*e^4*x - 10*B*a^2*c^2*d^2*e^2 + 8*B*a*d*e^3*(-a*c)^(3/2) - 8*B*c*d^3*e*(-a*c)^(3/2) + 3*B*a*e^4*x*(-a*c)^(3/2) - 8*A*a*c^3*d^3*e - 8*C*a^3*c*d*e^3 + 14*C*a^2*c^2*d^2*e^2*x + 8*A*c*d*e^3*x*(-a*c)^(3/2) - 8*C*a*d*e^3*x*(-a*c)^(3/2) + 8*C*c*d^3*e*x*(-a*c)^(3/2) + 8*B*a*c^3*d^3*e*x + 8*A*c^3*d^3*e*x*(-a*c)^(1/2) - 10*B*c*d^2*e^2*x*(-a*c)^(3/2) - 14*A*a*c^3*d^2*e^2*x - 8*B*a^2*c^2*d*e^3*x)*(c^2*(a*((B*d^2)/2 - A*d*e) + (A*d^2*(-a*c)^(1/2))/2) - c*(a^2*((B*e^2)/2 - C*d*e) + a*((A*e^2*(-a*c)^(1/2))/2 + (C*d^2*(-a*c)^(1/2))/2 - B*d*e*(-a*c)^(1/2))) + (C*a^2*e^2*(-a*c)^(1/2))/2))/(a*c^3*d^4 + a^3*c*e^4 + 2*a^2*c^2*d^2*e^2) - (log(d + e*x)*(c*(B*d^2 - 2*A*d*e) - a*(B*e^2 - 2*C*d*e)))/(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2) - (log(A*a*e^4*(-a*c)^(3/2) - C*c*d^4*(-a*c)^(3/2) + 3*B*a*c^3*d^4 + 3*B*a^3*c*e^4 + A*c^4*d^4*x - A*c^3*d^4*(-a*c)^(1/2) + C*a^3*e^4*(-a*c)^(1/2) - C*a*c^3*d^4*x - C*a^3*c*e^4*x - 14*A*c*d^2*e^2*(-a*c)^(3/2) + 14*C*a*d^2*e^2*(-a*c)^(3/2) + 3*B*c^3*d^4*x*(-a*c)^(1/2) + 8*A*a^2*c^2*d*e^3 + 8*C*a^2*c^2*d^3*e + A*a^2*c^2*e^4*x - 10*B*a^2*c^2*d^2*e^2 - 8*B*a*d*e^3*(-a*c)^(3/2) + 8*B*c*d^3*e*(-a*c)^(3/2) - 3*B*a*e^4*x*(-a*c)^(3/2) - 8*A*a*c^3*d^3*e - 8*C*a^3*c*d*e^3 + 14*C*a^2*c^2*d^2*e^2*x - 8*A*c*d*e^3*x*(-a*c)^(3/2) + 8*C*a*d*e^3*x*(-a*c)^(3/2) - 8*C*c*d^3*e*x*(-a*c)^(3/2) + 8*B*a*c^3*d^3*e*x - 8*A*c^3*d^3*e*x*(-a*c)^(1/2) + 10*B*c*d^2*e^2*x*(-a*c)^(3/2) - 14*A*a*c^3*d^2*e^2*x - 8*B*a^2*c^2*d*e^3*x)*(c*(a^2*((B*e^2)/2 - C*d*e) - a*((A*e^2*(-a*c)^(1/2))/2 + (C*d^2*(-a*c)^(1/2))/2 - B*d*e*(-a*c)^(1/2))) - c^2*(a*((B*d^2)/2 - A*d*e) - (A*d^2*(-a*c)^(1/2))/2) + (C*a^2*e^2*(-a*c)^(1/2))/2))/(a*c^3*d^4 + a^3*c*e^4 + 2*a^2*c^2*d^2*e^2) - (A*e^2 + C*d^2 - B*d*e)/(e*(a*e^2 + c*d^2)*(d + e*x))","B"
49,1,2980,305,9.185862,"\text{Not used}","int((A + B*x + C*x^2)/((a + c*x^2)*(d + e*x)^3),x)","\frac{\ln\left(d+e\,x\right)\,\left(e^3\,\left(C\,a^2-A\,a\,c\right)-B\,c^2\,d^3+d^2\,e\,\left(3\,A\,c^2-3\,C\,a\,c\right)+3\,B\,a\,c\,d\,e^2\right)}{a^3\,e^6+3\,a^2\,c\,d^2\,e^4+3\,a\,c^2\,d^4\,e^2+c^3\,d^6}-\frac{\ln\left(9\,A^2\,a^5\,e^{10}\,{\left(-a\,c\right)}^{5/2}+A^2\,c^5\,d^{10}\,{\left(-a\,c\right)}^{5/2}-B^2\,a^7\,e^{10}\,{\left(-a\,c\right)}^{3/2}-9\,B^2\,c^3\,d^{10}\,{\left(-a\,c\right)}^{7/2}+9\,C^2\,a^9\,e^{10}\,\sqrt{-a\,c}+C^2\,c\,d^{10}\,{\left(-a\,c\right)}^{9/2}+9\,C^2\,a^9\,c\,e^{10}\,x-6\,A^2\,a\,d^4\,e^6\,{\left(-a\,c\right)}^{9/2}-6\,B^2\,a\,d^6\,e^4\,{\left(-a\,c\right)}^{9/2}+106\,A^2\,c\,d^6\,e^4\,{\left(-a\,c\right)}^{9/2}+77\,C^2\,a\,d^8\,e^2\,{\left(-a\,c\right)}^{9/2}-27\,B^2\,c\,d^8\,e^2\,{\left(-a\,c\right)}^{9/2}+A^2\,a^2\,c^8\,d^{10}\,x+9\,A^2\,a^7\,c^3\,e^{10}\,x+9\,B^2\,a^3\,c^7\,d^{10}\,x+B^2\,a^8\,c^2\,e^{10}\,x+C^2\,a^4\,c^6\,d^{10}\,x+27\,A^2\,a^3\,d^2\,e^8\,{\left(-a\,c\right)}^{7/2}-106\,B^2\,a^3\,d^4\,e^6\,{\left(-a\,c\right)}^{7/2}+77\,B^2\,a^5\,d^2\,e^8\,{\left(-a\,c\right)}^{5/2}-77\,A^2\,c^3\,d^8\,e^2\,{\left(-a\,c\right)}^{7/2}-106\,C^2\,a^3\,d^6\,e^4\,{\left(-a\,c\right)}^{7/2}-6\,C^2\,a^5\,d^4\,e^6\,{\left(-a\,c\right)}^{5/2}+27\,C^2\,a^7\,d^2\,e^8\,{\left(-a\,c\right)}^{3/2}+18\,A\,C\,a^7\,e^{10}\,{\left(-a\,c\right)}^{3/2}+2\,A\,C\,c^3\,d^{10}\,{\left(-a\,c\right)}^{7/2}+224\,A\,B\,a\,d^5\,e^5\,{\left(-a\,c\right)}^{9/2}-48\,A\,B\,a^5\,d\,e^9\,{\left(-a\,c\right)}^{5/2}-212\,A\,C\,a\,d^6\,e^4\,{\left(-a\,c\right)}^{9/2}+64\,A\,B\,c\,d^7\,e^3\,{\left(-a\,c\right)}^{9/2}+48\,A\,B\,c^3\,d^9\,e\,{\left(-a\,c\right)}^{7/2}-64\,B\,C\,a\,d^7\,e^3\,{\left(-a\,c\right)}^{9/2}-48\,B\,C\,a^7\,d\,e^9\,{\left(-a\,c\right)}^{3/2}-154\,A\,C\,c\,d^8\,e^2\,{\left(-a\,c\right)}^{9/2}+77\,A^2\,a^3\,c^7\,d^8\,e^2\,x+106\,A^2\,a^4\,c^6\,d^6\,e^4\,x-6\,A^2\,a^5\,c^5\,d^4\,e^6\,x-27\,A^2\,a^6\,c^4\,d^2\,e^8\,x-27\,B^2\,a^4\,c^6\,d^8\,e^2\,x-6\,B^2\,a^5\,c^5\,d^6\,e^4\,x+106\,B^2\,a^6\,c^4\,d^4\,e^6\,x+77\,B^2\,a^7\,c^3\,d^2\,e^8\,x+77\,C^2\,a^5\,c^5\,d^8\,e^2\,x+106\,C^2\,a^6\,c^4\,d^6\,e^4\,x-6\,C^2\,a^7\,c^3\,d^4\,e^6\,x-27\,C^2\,a^8\,c^2\,d^2\,e^8\,x-2\,A\,C\,a^3\,c^7\,d^{10}\,x-18\,A\,C\,a^8\,c^2\,e^{10}\,x-64\,A\,B\,a^3\,d^3\,e^7\,{\left(-a\,c\right)}^{7/2}-12\,A\,C\,a^3\,d^4\,e^6\,{\left(-a\,c\right)}^{7/2}+54\,A\,C\,a^5\,d^2\,e^8\,{\left(-a\,c\right)}^{5/2}+224\,B\,C\,a^3\,d^5\,e^5\,{\left(-a\,c\right)}^{7/2}-64\,B\,C\,a^5\,d^3\,e^7\,{\left(-a\,c\right)}^{5/2}+48\,B\,C\,c\,d^9\,e\,{\left(-a\,c\right)}^{9/2}-48\,A\,B\,a^3\,c^7\,d^9\,e\,x-48\,A\,B\,a^7\,c^3\,d\,e^9\,x+48\,B\,C\,a^4\,c^6\,d^9\,e\,x+48\,B\,C\,a^8\,c^2\,d\,e^9\,x+64\,A\,B\,a^4\,c^6\,d^7\,e^3\,x+224\,A\,B\,a^5\,c^5\,d^5\,e^5\,x+64\,A\,B\,a^6\,c^4\,d^3\,e^7\,x-154\,A\,C\,a^4\,c^6\,d^8\,e^2\,x-212\,A\,C\,a^5\,c^5\,d^6\,e^4\,x+12\,A\,C\,a^6\,c^4\,d^4\,e^6\,x+54\,A\,C\,a^7\,c^3\,d^2\,e^8\,x-64\,B\,C\,a^5\,c^5\,d^7\,e^3\,x-224\,B\,C\,a^6\,c^4\,d^5\,e^5\,x-64\,B\,C\,a^7\,c^3\,d^3\,e^7\,x\right)\,\left(e^2\,\left(\frac{3\,B\,a^2\,c\,d}{2}-\frac{3\,C\,a^2\,d\,\sqrt{-a\,c}}{2}+\frac{3\,A\,a\,c\,d\,\sqrt{-a\,c}}{2}\right)+e^3\,\left(\frac{C\,a^3}{2}-\frac{A\,a^2\,c}{2}+\frac{B\,a^2\,\sqrt{-a\,c}}{2}\right)-e\,\left(\frac{3\,C\,a^2\,c\,d^2}{2}-\frac{3\,A\,a\,c^2\,d^2}{2}+\frac{3\,B\,a\,c\,d^2\,\sqrt{-a\,c}}{2}\right)-\frac{B\,a\,c^2\,d^3}{2}-\frac{A\,c^2\,d^3\,\sqrt{-a\,c}}{2}+\frac{C\,a\,c\,d^3\,\sqrt{-a\,c}}{2}\right)}{a^4\,e^6+3\,a^3\,c\,d^2\,e^4+3\,a^2\,c^2\,d^4\,e^2+a\,c^3\,d^6}-\frac{\ln\left(B^2\,a^7\,e^{10}\,{\left(-a\,c\right)}^{3/2}-A^2\,c^5\,d^{10}\,{\left(-a\,c\right)}^{5/2}-9\,A^2\,a^5\,e^{10}\,{\left(-a\,c\right)}^{5/2}+9\,B^2\,c^3\,d^{10}\,{\left(-a\,c\right)}^{7/2}-9\,C^2\,a^9\,e^{10}\,\sqrt{-a\,c}-C^2\,c\,d^{10}\,{\left(-a\,c\right)}^{9/2}+9\,C^2\,a^9\,c\,e^{10}\,x+6\,A^2\,a\,d^4\,e^6\,{\left(-a\,c\right)}^{9/2}+6\,B^2\,a\,d^6\,e^4\,{\left(-a\,c\right)}^{9/2}-106\,A^2\,c\,d^6\,e^4\,{\left(-a\,c\right)}^{9/2}-77\,C^2\,a\,d^8\,e^2\,{\left(-a\,c\right)}^{9/2}+27\,B^2\,c\,d^8\,e^2\,{\left(-a\,c\right)}^{9/2}+A^2\,a^2\,c^8\,d^{10}\,x+9\,A^2\,a^7\,c^3\,e^{10}\,x+9\,B^2\,a^3\,c^7\,d^{10}\,x+B^2\,a^8\,c^2\,e^{10}\,x+C^2\,a^4\,c^6\,d^{10}\,x-27\,A^2\,a^3\,d^2\,e^8\,{\left(-a\,c\right)}^{7/2}+106\,B^2\,a^3\,d^4\,e^6\,{\left(-a\,c\right)}^{7/2}-77\,B^2\,a^5\,d^2\,e^8\,{\left(-a\,c\right)}^{5/2}+77\,A^2\,c^3\,d^8\,e^2\,{\left(-a\,c\right)}^{7/2}+106\,C^2\,a^3\,d^6\,e^4\,{\left(-a\,c\right)}^{7/2}+6\,C^2\,a^5\,d^4\,e^6\,{\left(-a\,c\right)}^{5/2}-27\,C^2\,a^7\,d^2\,e^8\,{\left(-a\,c\right)}^{3/2}-18\,A\,C\,a^7\,e^{10}\,{\left(-a\,c\right)}^{3/2}-2\,A\,C\,c^3\,d^{10}\,{\left(-a\,c\right)}^{7/2}-224\,A\,B\,a\,d^5\,e^5\,{\left(-a\,c\right)}^{9/2}+48\,A\,B\,a^5\,d\,e^9\,{\left(-a\,c\right)}^{5/2}+212\,A\,C\,a\,d^6\,e^4\,{\left(-a\,c\right)}^{9/2}-64\,A\,B\,c\,d^7\,e^3\,{\left(-a\,c\right)}^{9/2}-48\,A\,B\,c^3\,d^9\,e\,{\left(-a\,c\right)}^{7/2}+64\,B\,C\,a\,d^7\,e^3\,{\left(-a\,c\right)}^{9/2}+48\,B\,C\,a^7\,d\,e^9\,{\left(-a\,c\right)}^{3/2}+154\,A\,C\,c\,d^8\,e^2\,{\left(-a\,c\right)}^{9/2}+77\,A^2\,a^3\,c^7\,d^8\,e^2\,x+106\,A^2\,a^4\,c^6\,d^6\,e^4\,x-6\,A^2\,a^5\,c^5\,d^4\,e^6\,x-27\,A^2\,a^6\,c^4\,d^2\,e^8\,x-27\,B^2\,a^4\,c^6\,d^8\,e^2\,x-6\,B^2\,a^5\,c^5\,d^6\,e^4\,x+106\,B^2\,a^6\,c^4\,d^4\,e^6\,x+77\,B^2\,a^7\,c^3\,d^2\,e^8\,x+77\,C^2\,a^5\,c^5\,d^8\,e^2\,x+106\,C^2\,a^6\,c^4\,d^6\,e^4\,x-6\,C^2\,a^7\,c^3\,d^4\,e^6\,x-27\,C^2\,a^8\,c^2\,d^2\,e^8\,x-2\,A\,C\,a^3\,c^7\,d^{10}\,x-18\,A\,C\,a^8\,c^2\,e^{10}\,x+64\,A\,B\,a^3\,d^3\,e^7\,{\left(-a\,c\right)}^{7/2}+12\,A\,C\,a^3\,d^4\,e^6\,{\left(-a\,c\right)}^{7/2}-54\,A\,C\,a^5\,d^2\,e^8\,{\left(-a\,c\right)}^{5/2}-224\,B\,C\,a^3\,d^5\,e^5\,{\left(-a\,c\right)}^{7/2}+64\,B\,C\,a^5\,d^3\,e^7\,{\left(-a\,c\right)}^{5/2}-48\,B\,C\,c\,d^9\,e\,{\left(-a\,c\right)}^{9/2}-48\,A\,B\,a^3\,c^7\,d^9\,e\,x-48\,A\,B\,a^7\,c^3\,d\,e^9\,x+48\,B\,C\,a^4\,c^6\,d^9\,e\,x+48\,B\,C\,a^8\,c^2\,d\,e^9\,x+64\,A\,B\,a^4\,c^6\,d^7\,e^3\,x+224\,A\,B\,a^5\,c^5\,d^5\,e^5\,x+64\,A\,B\,a^6\,c^4\,d^3\,e^7\,x-154\,A\,C\,a^4\,c^6\,d^8\,e^2\,x-212\,A\,C\,a^5\,c^5\,d^6\,e^4\,x+12\,A\,C\,a^6\,c^4\,d^4\,e^6\,x+54\,A\,C\,a^7\,c^3\,d^2\,e^8\,x-64\,B\,C\,a^5\,c^5\,d^7\,e^3\,x-224\,B\,C\,a^6\,c^4\,d^5\,e^5\,x-64\,B\,C\,a^7\,c^3\,d^3\,e^7\,x\right)\,\left(e^2\,\left(\frac{3\,B\,a^2\,c\,d}{2}+\frac{3\,C\,a^2\,d\,\sqrt{-a\,c}}{2}-\frac{3\,A\,a\,c\,d\,\sqrt{-a\,c}}{2}\right)-e^3\,\left(\frac{A\,a^2\,c}{2}-\frac{C\,a^3}{2}+\frac{B\,a^2\,\sqrt{-a\,c}}{2}\right)+e\,\left(\frac{3\,A\,a\,c^2\,d^2}{2}-\frac{3\,C\,a^2\,c\,d^2}{2}+\frac{3\,B\,a\,c\,d^2\,\sqrt{-a\,c}}{2}\right)-\frac{B\,a\,c^2\,d^3}{2}+\frac{A\,c^2\,d^3\,\sqrt{-a\,c}}{2}-\frac{C\,a\,c\,d^3\,\sqrt{-a\,c}}{2}\right)}{a^4\,e^6+3\,a^3\,c\,d^2\,e^4+3\,a^2\,c^2\,d^4\,e^2+a\,c^3\,d^6}-\frac{\frac{A\,a\,e^4+C\,c\,d^4+B\,a\,d\,e^3-3\,B\,c\,d^3\,e+5\,A\,c\,d^2\,e^2-3\,C\,a\,d^2\,e^2}{2\,e\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}+\frac{x\,\left(B\,a\,e^3+2\,A\,c\,d\,e^2-2\,C\,a\,d\,e^2-B\,c\,d^2\,e\right)}{a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4}}{d^2+2\,d\,e\,x+e^2\,x^2}","Not used",1,"(log(d + e*x)*(e^3*(C*a^2 - A*a*c) - B*c^2*d^3 + d^2*e*(3*A*c^2 - 3*C*a*c) + 3*B*a*c*d*e^2))/(a^3*e^6 + c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4) - (log(9*A^2*a^5*e^10*(-a*c)^(5/2) + A^2*c^5*d^10*(-a*c)^(5/2) - B^2*a^7*e^10*(-a*c)^(3/2) - 9*B^2*c^3*d^10*(-a*c)^(7/2) + 9*C^2*a^9*e^10*(-a*c)^(1/2) + C^2*c*d^10*(-a*c)^(9/2) + 9*C^2*a^9*c*e^10*x - 6*A^2*a*d^4*e^6*(-a*c)^(9/2) - 6*B^2*a*d^6*e^4*(-a*c)^(9/2) + 106*A^2*c*d^6*e^4*(-a*c)^(9/2) + 77*C^2*a*d^8*e^2*(-a*c)^(9/2) - 27*B^2*c*d^8*e^2*(-a*c)^(9/2) + A^2*a^2*c^8*d^10*x + 9*A^2*a^7*c^3*e^10*x + 9*B^2*a^3*c^7*d^10*x + B^2*a^8*c^2*e^10*x + C^2*a^4*c^6*d^10*x + 27*A^2*a^3*d^2*e^8*(-a*c)^(7/2) - 106*B^2*a^3*d^4*e^6*(-a*c)^(7/2) + 77*B^2*a^5*d^2*e^8*(-a*c)^(5/2) - 77*A^2*c^3*d^8*e^2*(-a*c)^(7/2) - 106*C^2*a^3*d^6*e^4*(-a*c)^(7/2) - 6*C^2*a^5*d^4*e^6*(-a*c)^(5/2) + 27*C^2*a^7*d^2*e^8*(-a*c)^(3/2) + 18*A*C*a^7*e^10*(-a*c)^(3/2) + 2*A*C*c^3*d^10*(-a*c)^(7/2) + 224*A*B*a*d^5*e^5*(-a*c)^(9/2) - 48*A*B*a^5*d*e^9*(-a*c)^(5/2) - 212*A*C*a*d^6*e^4*(-a*c)^(9/2) + 64*A*B*c*d^7*e^3*(-a*c)^(9/2) + 48*A*B*c^3*d^9*e*(-a*c)^(7/2) - 64*B*C*a*d^7*e^3*(-a*c)^(9/2) - 48*B*C*a^7*d*e^9*(-a*c)^(3/2) - 154*A*C*c*d^8*e^2*(-a*c)^(9/2) + 77*A^2*a^3*c^7*d^8*e^2*x + 106*A^2*a^4*c^6*d^6*e^4*x - 6*A^2*a^5*c^5*d^4*e^6*x - 27*A^2*a^6*c^4*d^2*e^8*x - 27*B^2*a^4*c^6*d^8*e^2*x - 6*B^2*a^5*c^5*d^6*e^4*x + 106*B^2*a^6*c^4*d^4*e^6*x + 77*B^2*a^7*c^3*d^2*e^8*x + 77*C^2*a^5*c^5*d^8*e^2*x + 106*C^2*a^6*c^4*d^6*e^4*x - 6*C^2*a^7*c^3*d^4*e^6*x - 27*C^2*a^8*c^2*d^2*e^8*x - 2*A*C*a^3*c^7*d^10*x - 18*A*C*a^8*c^2*e^10*x - 64*A*B*a^3*d^3*e^7*(-a*c)^(7/2) - 12*A*C*a^3*d^4*e^6*(-a*c)^(7/2) + 54*A*C*a^5*d^2*e^8*(-a*c)^(5/2) + 224*B*C*a^3*d^5*e^5*(-a*c)^(7/2) - 64*B*C*a^5*d^3*e^7*(-a*c)^(5/2) + 48*B*C*c*d^9*e*(-a*c)^(9/2) - 48*A*B*a^3*c^7*d^9*e*x - 48*A*B*a^7*c^3*d*e^9*x + 48*B*C*a^4*c^6*d^9*e*x + 48*B*C*a^8*c^2*d*e^9*x + 64*A*B*a^4*c^6*d^7*e^3*x + 224*A*B*a^5*c^5*d^5*e^5*x + 64*A*B*a^6*c^4*d^3*e^7*x - 154*A*C*a^4*c^6*d^8*e^2*x - 212*A*C*a^5*c^5*d^6*e^4*x + 12*A*C*a^6*c^4*d^4*e^6*x + 54*A*C*a^7*c^3*d^2*e^8*x - 64*B*C*a^5*c^5*d^7*e^3*x - 224*B*C*a^6*c^4*d^5*e^5*x - 64*B*C*a^7*c^3*d^3*e^7*x)*(e^2*((3*B*a^2*c*d)/2 - (3*C*a^2*d*(-a*c)^(1/2))/2 + (3*A*a*c*d*(-a*c)^(1/2))/2) + e^3*((C*a^3)/2 - (A*a^2*c)/2 + (B*a^2*(-a*c)^(1/2))/2) - e*((3*C*a^2*c*d^2)/2 - (3*A*a*c^2*d^2)/2 + (3*B*a*c*d^2*(-a*c)^(1/2))/2) - (B*a*c^2*d^3)/2 - (A*c^2*d^3*(-a*c)^(1/2))/2 + (C*a*c*d^3*(-a*c)^(1/2))/2))/(a^4*e^6 + a*c^3*d^6 + 3*a^3*c*d^2*e^4 + 3*a^2*c^2*d^4*e^2) - (log(B^2*a^7*e^10*(-a*c)^(3/2) - A^2*c^5*d^10*(-a*c)^(5/2) - 9*A^2*a^5*e^10*(-a*c)^(5/2) + 9*B^2*c^3*d^10*(-a*c)^(7/2) - 9*C^2*a^9*e^10*(-a*c)^(1/2) - C^2*c*d^10*(-a*c)^(9/2) + 9*C^2*a^9*c*e^10*x + 6*A^2*a*d^4*e^6*(-a*c)^(9/2) + 6*B^2*a*d^6*e^4*(-a*c)^(9/2) - 106*A^2*c*d^6*e^4*(-a*c)^(9/2) - 77*C^2*a*d^8*e^2*(-a*c)^(9/2) + 27*B^2*c*d^8*e^2*(-a*c)^(9/2) + A^2*a^2*c^8*d^10*x + 9*A^2*a^7*c^3*e^10*x + 9*B^2*a^3*c^7*d^10*x + B^2*a^8*c^2*e^10*x + C^2*a^4*c^6*d^10*x - 27*A^2*a^3*d^2*e^8*(-a*c)^(7/2) + 106*B^2*a^3*d^4*e^6*(-a*c)^(7/2) - 77*B^2*a^5*d^2*e^8*(-a*c)^(5/2) + 77*A^2*c^3*d^8*e^2*(-a*c)^(7/2) + 106*C^2*a^3*d^6*e^4*(-a*c)^(7/2) + 6*C^2*a^5*d^4*e^6*(-a*c)^(5/2) - 27*C^2*a^7*d^2*e^8*(-a*c)^(3/2) - 18*A*C*a^7*e^10*(-a*c)^(3/2) - 2*A*C*c^3*d^10*(-a*c)^(7/2) - 224*A*B*a*d^5*e^5*(-a*c)^(9/2) + 48*A*B*a^5*d*e^9*(-a*c)^(5/2) + 212*A*C*a*d^6*e^4*(-a*c)^(9/2) - 64*A*B*c*d^7*e^3*(-a*c)^(9/2) - 48*A*B*c^3*d^9*e*(-a*c)^(7/2) + 64*B*C*a*d^7*e^3*(-a*c)^(9/2) + 48*B*C*a^7*d*e^9*(-a*c)^(3/2) + 154*A*C*c*d^8*e^2*(-a*c)^(9/2) + 77*A^2*a^3*c^7*d^8*e^2*x + 106*A^2*a^4*c^6*d^6*e^4*x - 6*A^2*a^5*c^5*d^4*e^6*x - 27*A^2*a^6*c^4*d^2*e^8*x - 27*B^2*a^4*c^6*d^8*e^2*x - 6*B^2*a^5*c^5*d^6*e^4*x + 106*B^2*a^6*c^4*d^4*e^6*x + 77*B^2*a^7*c^3*d^2*e^8*x + 77*C^2*a^5*c^5*d^8*e^2*x + 106*C^2*a^6*c^4*d^6*e^4*x - 6*C^2*a^7*c^3*d^4*e^6*x - 27*C^2*a^8*c^2*d^2*e^8*x - 2*A*C*a^3*c^7*d^10*x - 18*A*C*a^8*c^2*e^10*x + 64*A*B*a^3*d^3*e^7*(-a*c)^(7/2) + 12*A*C*a^3*d^4*e^6*(-a*c)^(7/2) - 54*A*C*a^5*d^2*e^8*(-a*c)^(5/2) - 224*B*C*a^3*d^5*e^5*(-a*c)^(7/2) + 64*B*C*a^5*d^3*e^7*(-a*c)^(5/2) - 48*B*C*c*d^9*e*(-a*c)^(9/2) - 48*A*B*a^3*c^7*d^9*e*x - 48*A*B*a^7*c^3*d*e^9*x + 48*B*C*a^4*c^6*d^9*e*x + 48*B*C*a^8*c^2*d*e^9*x + 64*A*B*a^4*c^6*d^7*e^3*x + 224*A*B*a^5*c^5*d^5*e^5*x + 64*A*B*a^6*c^4*d^3*e^7*x - 154*A*C*a^4*c^6*d^8*e^2*x - 212*A*C*a^5*c^5*d^6*e^4*x + 12*A*C*a^6*c^4*d^4*e^6*x + 54*A*C*a^7*c^3*d^2*e^8*x - 64*B*C*a^5*c^5*d^7*e^3*x - 224*B*C*a^6*c^4*d^5*e^5*x - 64*B*C*a^7*c^3*d^3*e^7*x)*(e^2*((3*B*a^2*c*d)/2 + (3*C*a^2*d*(-a*c)^(1/2))/2 - (3*A*a*c*d*(-a*c)^(1/2))/2) - e^3*((A*a^2*c)/2 - (C*a^3)/2 + (B*a^2*(-a*c)^(1/2))/2) + e*((3*A*a*c^2*d^2)/2 - (3*C*a^2*c*d^2)/2 + (3*B*a*c*d^2*(-a*c)^(1/2))/2) - (B*a*c^2*d^3)/2 + (A*c^2*d^3*(-a*c)^(1/2))/2 - (C*a*c*d^3*(-a*c)^(1/2))/2))/(a^4*e^6 + a*c^3*d^6 + 3*a^3*c*d^2*e^4 + 3*a^2*c^2*d^4*e^2) - ((A*a*e^4 + C*c*d^4 + B*a*d*e^3 - 3*B*c*d^3*e + 5*A*c*d^2*e^2 - 3*C*a*d^2*e^2)/(2*e*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) + (x*(B*a*e^3 + 2*A*c*d*e^2 - 2*C*a*d*e^2 - B*c*d^2*e))/(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2))/(d^2 + e^2*x^2 + 2*d*e*x)","B"
50,1,303,216,4.013657,"\text{Not used}","int(((d + e*x)^3*(A + B*x + C*x^2))/(a + c*x^2)^2,x)","\frac{x\,\left(B\,e^3+3\,C\,d\,e^2\right)}{c^2}-\frac{\frac{C\,a^2\,e^3-3\,C\,a\,c\,d^2\,e-3\,B\,a\,c\,d\,e^2-A\,a\,c\,e^3+B\,c^2\,d^3+3\,A\,c^2\,d^2\,e}{2\,c}-\frac{x\,\left(3\,C\,a^2\,d\,e^2+B\,a^2\,e^3-C\,a\,c\,d^3-3\,B\,a\,c\,d^2\,e-3\,A\,a\,c\,d\,e^2+A\,c^2\,d^3\right)}{2\,a}}{c^3\,x^2+a\,c^2}+\frac{C\,e^3\,x^2}{2\,c^2}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(-9\,C\,a^2\,d\,e^2-3\,B\,a^2\,e^3+C\,a\,c\,d^3+3\,B\,a\,c\,d^2\,e+3\,A\,a\,c\,d\,e^2+A\,c^2\,d^3\right)}{2\,a^{3/2}\,c^{5/2}}+\frac{\ln\left(c\,x^2+a\right)\,\left(-32\,C\,a^4\,c^3\,e^3+48\,C\,a^3\,c^4\,d^2\,e+48\,B\,a^3\,c^4\,d\,e^2+16\,A\,a^3\,c^4\,e^3\right)}{32\,a^3\,c^6}","Not used",1,"(x*(B*e^3 + 3*C*d*e^2))/c^2 - ((B*c^2*d^3 + C*a^2*e^3 - A*a*c*e^3 + 3*A*c^2*d^2*e - 3*B*a*c*d*e^2 - 3*C*a*c*d^2*e)/(2*c) - (x*(A*c^2*d^3 + B*a^2*e^3 - C*a*c*d^3 + 3*C*a^2*d*e^2 - 3*A*a*c*d*e^2 - 3*B*a*c*d^2*e))/(2*a))/(a*c^2 + c^3*x^2) + (C*e^3*x^2)/(2*c^2) + (atan((c^(1/2)*x)/a^(1/2))*(A*c^2*d^3 - 3*B*a^2*e^3 + C*a*c*d^3 - 9*C*a^2*d*e^2 + 3*A*a*c*d*e^2 + 3*B*a*c*d^2*e))/(2*a^(3/2)*c^(5/2)) + (log(a + c*x^2)*(16*A*a^3*c^4*e^3 - 32*C*a^4*c^3*e^3 + 48*B*a^3*c^4*d*e^2 + 48*C*a^3*c^4*d^2*e))/(32*a^3*c^6)","B"
51,1,195,146,0.228837,"\text{Not used}","int(((d + e*x)^2*(A + B*x + C*x^2))/(a + c*x^2)^2,x)","\frac{C\,e^2\,x}{c^2}-\frac{\frac{x\,\left(-C\,a^2\,e^2+C\,a\,c\,d^2+2\,B\,a\,c\,d\,e+A\,a\,c\,e^2-A\,c^2\,d^2\right)}{2\,a}-\frac{B\,a\,e^2}{2}+\frac{B\,c\,d^2}{2}+A\,c\,d\,e-C\,a\,d\,e}{c^3\,x^2+a\,c^2}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(-3\,C\,a^2\,e^2+C\,a\,c\,d^2+2\,B\,a\,c\,d\,e+A\,a\,c\,e^2+A\,c^2\,d^2\right)}{2\,a^{3/2}\,c^{5/2}}+\frac{\ln\left(c\,x^2+a\right)\,\left(16\,B\,a^3\,c^3\,e^2+32\,C\,d\,a^3\,c^3\,e\right)}{32\,a^3\,c^5}","Not used",1,"(C*e^2*x)/c^2 - ((x*(A*a*c*e^2 - C*a^2*e^2 - A*c^2*d^2 + C*a*c*d^2 + 2*B*a*c*d*e))/(2*a) - (B*a*e^2)/2 + (B*c*d^2)/2 + A*c*d*e - C*a*d*e)/(a*c^2 + c^3*x^2) + (atan((c^(1/2)*x)/a^(1/2))*(A*c^2*d^2 - 3*C*a^2*e^2 + A*a*c*e^2 + C*a*c*d^2 + 2*B*a*c*d*e))/(2*a^(3/2)*c^(5/2)) + (log(a + c*x^2)*(16*B*a^3*c^3*e^2 + 32*C*a^3*c^3*d*e))/(32*a^3*c^5)","B"
52,1,191,97,0.139070,"\text{Not used}","int(((d + e*x)*(A + B*x + C*x^2))/(a + c*x^2)^2,x)","\frac{C\,e\,\ln\left(c\,x^2+a\right)}{2\,c^2}-\frac{B\,d}{2\,\left(c^2\,x^2+a\,c\right)}-\frac{B\,e\,x}{2\,\left(c^2\,x^2+a\,c\right)}-\frac{C\,d\,x}{2\,\left(c^2\,x^2+a\,c\right)}-\frac{A\,e}{2\,\left(c^2\,x^2+a\,c\right)}+\frac{C\,a\,e}{2\,\left(c^3\,x^2+a\,c^2\right)}+\frac{A\,d\,x}{2\,\left(a^2+c\,a\,x^2\right)}+\frac{A\,d\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{2\,a^{3/2}\,\sqrt{c}}+\frac{B\,e\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{2\,\sqrt{a}\,c^{3/2}}+\frac{C\,d\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{2\,\sqrt{a}\,c^{3/2}}","Not used",1,"(C*e*log(a + c*x^2))/(2*c^2) - (B*d)/(2*(a*c + c^2*x^2)) - (B*e*x)/(2*(a*c + c^2*x^2)) - (C*d*x)/(2*(a*c + c^2*x^2)) - (A*e)/(2*(a*c + c^2*x^2)) + (C*a*e)/(2*(a*c^2 + c^3*x^2)) + (A*d*x)/(2*(a^2 + a*c*x^2)) + (A*d*atan((c^(1/2)*x)/a^(1/2)))/(2*a^(3/2)*c^(1/2)) + (B*e*atan((c^(1/2)*x)/a^(1/2)))/(2*a^(1/2)*c^(3/2)) + (C*d*atan((c^(1/2)*x)/a^(1/2)))/(2*a^(1/2)*c^(3/2))","B"
53,1,60,69,0.099602,"\text{Not used}","int((A + B*x + C*x^2)/(a + c*x^2)^2,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(A\,c+C\,a\right)}{2\,a^{3/2}\,c^{3/2}}-\frac{\frac{B}{2\,c}-\frac{x\,\left(A\,c-C\,a\right)}{2\,a\,c}}{c\,x^2+a}","Not used",1,"(atan((c^(1/2)*x)/a^(1/2))*(A*c + C*a))/(2*a^(3/2)*c^(3/2)) - (B/(2*c) - (x*(A*c - C*a))/(2*a*c))/(a + c*x^2)","B"
54,1,1493,226,7.675288,"\text{Not used}","int((A + B*x + C*x^2)/((a + c*x^2)^2*(d + e*x)),x)","\frac{\ln\left(A\,c^3\,d^5\,\sqrt{-a^3\,c}-B\,a^3\,e^5\,\sqrt{-a^3\,c}+6\,A\,a^4\,c\,e^5-B\,a^4\,c\,e^5\,x-2\,A\,a^2\,c^3\,d^4\,e-8\,C\,a^3\,c^2\,d^4\,e+8\,C\,a^4\,c\,d^2\,e^3+C\,a^2\,c^3\,d^5\,x+C\,a\,c^2\,d^5\,\sqrt{-a^3\,c}+C\,a^3\,d\,e^4\,\sqrt{-a^3\,c}-12\,A\,a^3\,c^2\,d^2\,e^3+8\,B\,a^3\,c^2\,d^3\,e^2-8\,B\,a^4\,c\,d\,e^4+A\,a\,c^4\,d^5\,x+2\,A\,a^2\,c^3\,d^3\,e^2\,x+14\,B\,a^3\,c^2\,d^2\,e^3\,x-14\,C\,a^3\,c^2\,d^3\,e^2\,x+2\,A\,a\,c^2\,d^3\,e^2\,\sqrt{-a^3\,c}+14\,B\,a^2\,c\,d^2\,e^3\,\sqrt{-a^3\,c}-14\,C\,a^2\,c\,d^3\,e^2\,\sqrt{-a^3\,c}+C\,a^4\,c\,d\,e^4\,x-15\,A\,a^3\,c^2\,d\,e^4\,x-B\,a^2\,c^3\,d^4\,e\,x-15\,A\,a^2\,c\,d\,e^4\,\sqrt{-a^3\,c}-B\,a\,c^2\,d^4\,e\,\sqrt{-a^3\,c}-6\,A\,a^2\,c\,e^5\,x\,\sqrt{-a^3\,c}+2\,A\,c^3\,d^4\,e\,x\,\sqrt{-a^3\,c}+8\,B\,a^2\,c\,d\,e^4\,x\,\sqrt{-a^3\,c}+8\,C\,a\,c^2\,d^4\,e\,x\,\sqrt{-a^3\,c}+12\,A\,a\,c^2\,d^2\,e^3\,x\,\sqrt{-a^3\,c}-8\,B\,a\,c^2\,d^3\,e^2\,x\,\sqrt{-a^3\,c}-8\,C\,a^2\,c\,d^2\,e^3\,x\,\sqrt{-a^3\,c}\right)\,\left(a^2\,\left(\frac{B\,e^3\,\sqrt{-a^3\,c}}{4}-\frac{C\,d\,e^2\,\sqrt{-a^3\,c}}{4}\right)-c\,\left(a^3\,\left(\frac{C\,d^2\,e}{2}-\frac{B\,d\,e^2}{2}+\frac{A\,e^3}{2}\right)-a\,\left(\frac{C\,d^3\,\sqrt{-a^3\,c}}{4}+\frac{3\,A\,d\,e^2\,\sqrt{-a^3\,c}}{4}-\frac{B\,d^2\,e\,\sqrt{-a^3\,c}}{4}\right)\right)+\frac{A\,c^2\,d^3\,\sqrt{-a^3\,c}}{4}\right)}{a^5\,c\,e^4+2\,a^4\,c^2\,d^2\,e^2+a^3\,c^3\,d^4}-\frac{\ln\left(A\,c^3\,d^5\,\sqrt{-a^3\,c}-B\,a^3\,e^5\,\sqrt{-a^3\,c}-6\,A\,a^4\,c\,e^5+B\,a^4\,c\,e^5\,x+2\,A\,a^2\,c^3\,d^4\,e+8\,C\,a^3\,c^2\,d^4\,e-8\,C\,a^4\,c\,d^2\,e^3-C\,a^2\,c^3\,d^5\,x+C\,a\,c^2\,d^5\,\sqrt{-a^3\,c}+C\,a^3\,d\,e^4\,\sqrt{-a^3\,c}+12\,A\,a^3\,c^2\,d^2\,e^3-8\,B\,a^3\,c^2\,d^3\,e^2+8\,B\,a^4\,c\,d\,e^4-A\,a\,c^4\,d^5\,x-2\,A\,a^2\,c^3\,d^3\,e^2\,x-14\,B\,a^3\,c^2\,d^2\,e^3\,x+14\,C\,a^3\,c^2\,d^3\,e^2\,x+2\,A\,a\,c^2\,d^3\,e^2\,\sqrt{-a^3\,c}+14\,B\,a^2\,c\,d^2\,e^3\,\sqrt{-a^3\,c}-14\,C\,a^2\,c\,d^3\,e^2\,\sqrt{-a^3\,c}-C\,a^4\,c\,d\,e^4\,x+15\,A\,a^3\,c^2\,d\,e^4\,x+B\,a^2\,c^3\,d^4\,e\,x-15\,A\,a^2\,c\,d\,e^4\,\sqrt{-a^3\,c}-B\,a\,c^2\,d^4\,e\,\sqrt{-a^3\,c}-6\,A\,a^2\,c\,e^5\,x\,\sqrt{-a^3\,c}+2\,A\,c^3\,d^4\,e\,x\,\sqrt{-a^3\,c}+8\,B\,a^2\,c\,d\,e^4\,x\,\sqrt{-a^3\,c}+8\,C\,a\,c^2\,d^4\,e\,x\,\sqrt{-a^3\,c}+12\,A\,a\,c^2\,d^2\,e^3\,x\,\sqrt{-a^3\,c}-8\,B\,a\,c^2\,d^3\,e^2\,x\,\sqrt{-a^3\,c}-8\,C\,a^2\,c\,d^2\,e^3\,x\,\sqrt{-a^3\,c}\right)\,\left(c\,\left(a^3\,\left(\frac{C\,d^2\,e}{2}-\frac{B\,d\,e^2}{2}+\frac{A\,e^3}{2}\right)+a\,\left(\frac{C\,d^3\,\sqrt{-a^3\,c}}{4}+\frac{3\,A\,d\,e^2\,\sqrt{-a^3\,c}}{4}-\frac{B\,d^2\,e\,\sqrt{-a^3\,c}}{4}\right)\right)+a^2\,\left(\frac{B\,e^3\,\sqrt{-a^3\,c}}{4}-\frac{C\,d\,e^2\,\sqrt{-a^3\,c}}{4}\right)+\frac{A\,c^2\,d^3\,\sqrt{-a^3\,c}}{4}\right)}{a^5\,c\,e^4+2\,a^4\,c^2\,d^2\,e^2+a^3\,c^3\,d^4}-\frac{\frac{B\,c\,d-A\,c\,e+C\,a\,e}{2\,c\,\left(c\,d^2+a\,e^2\right)}-\frac{x\,\left(A\,c\,d+B\,a\,e-C\,a\,d\right)}{2\,a\,\left(c\,d^2+a\,e^2\right)}}{c\,x^2+a}+\frac{e\,\ln\left(d+e\,x\right)\,\left(C\,d^2-B\,d\,e+A\,e^2\right)}{{\left(c\,d^2+a\,e^2\right)}^2}","Not used",1,"(log(A*c^3*d^5*(-a^3*c)^(1/2) - B*a^3*e^5*(-a^3*c)^(1/2) + 6*A*a^4*c*e^5 - B*a^4*c*e^5*x - 2*A*a^2*c^3*d^4*e - 8*C*a^3*c^2*d^4*e + 8*C*a^4*c*d^2*e^3 + C*a^2*c^3*d^5*x + C*a*c^2*d^5*(-a^3*c)^(1/2) + C*a^3*d*e^4*(-a^3*c)^(1/2) - 12*A*a^3*c^2*d^2*e^3 + 8*B*a^3*c^2*d^3*e^2 - 8*B*a^4*c*d*e^4 + A*a*c^4*d^5*x + 2*A*a^2*c^3*d^3*e^2*x + 14*B*a^3*c^2*d^2*e^3*x - 14*C*a^3*c^2*d^3*e^2*x + 2*A*a*c^2*d^3*e^2*(-a^3*c)^(1/2) + 14*B*a^2*c*d^2*e^3*(-a^3*c)^(1/2) - 14*C*a^2*c*d^3*e^2*(-a^3*c)^(1/2) + C*a^4*c*d*e^4*x - 15*A*a^3*c^2*d*e^4*x - B*a^2*c^3*d^4*e*x - 15*A*a^2*c*d*e^4*(-a^3*c)^(1/2) - B*a*c^2*d^4*e*(-a^3*c)^(1/2) - 6*A*a^2*c*e^5*x*(-a^3*c)^(1/2) + 2*A*c^3*d^4*e*x*(-a^3*c)^(1/2) + 8*B*a^2*c*d*e^4*x*(-a^3*c)^(1/2) + 8*C*a*c^2*d^4*e*x*(-a^3*c)^(1/2) + 12*A*a*c^2*d^2*e^3*x*(-a^3*c)^(1/2) - 8*B*a*c^2*d^3*e^2*x*(-a^3*c)^(1/2) - 8*C*a^2*c*d^2*e^3*x*(-a^3*c)^(1/2))*(a^2*((B*e^3*(-a^3*c)^(1/2))/4 - (C*d*e^2*(-a^3*c)^(1/2))/4) - c*(a^3*((A*e^3)/2 - (B*d*e^2)/2 + (C*d^2*e)/2) - a*((C*d^3*(-a^3*c)^(1/2))/4 + (3*A*d*e^2*(-a^3*c)^(1/2))/4 - (B*d^2*e*(-a^3*c)^(1/2))/4)) + (A*c^2*d^3*(-a^3*c)^(1/2))/4))/(a^5*c*e^4 + a^3*c^3*d^4 + 2*a^4*c^2*d^2*e^2) - (log(A*c^3*d^5*(-a^3*c)^(1/2) - B*a^3*e^5*(-a^3*c)^(1/2) - 6*A*a^4*c*e^5 + B*a^4*c*e^5*x + 2*A*a^2*c^3*d^4*e + 8*C*a^3*c^2*d^4*e - 8*C*a^4*c*d^2*e^3 - C*a^2*c^3*d^5*x + C*a*c^2*d^5*(-a^3*c)^(1/2) + C*a^3*d*e^4*(-a^3*c)^(1/2) + 12*A*a^3*c^2*d^2*e^3 - 8*B*a^3*c^2*d^3*e^2 + 8*B*a^4*c*d*e^4 - A*a*c^4*d^5*x - 2*A*a^2*c^3*d^3*e^2*x - 14*B*a^3*c^2*d^2*e^3*x + 14*C*a^3*c^2*d^3*e^2*x + 2*A*a*c^2*d^3*e^2*(-a^3*c)^(1/2) + 14*B*a^2*c*d^2*e^3*(-a^3*c)^(1/2) - 14*C*a^2*c*d^3*e^2*(-a^3*c)^(1/2) - C*a^4*c*d*e^4*x + 15*A*a^3*c^2*d*e^4*x + B*a^2*c^3*d^4*e*x - 15*A*a^2*c*d*e^4*(-a^3*c)^(1/2) - B*a*c^2*d^4*e*(-a^3*c)^(1/2) - 6*A*a^2*c*e^5*x*(-a^3*c)^(1/2) + 2*A*c^3*d^4*e*x*(-a^3*c)^(1/2) + 8*B*a^2*c*d*e^4*x*(-a^3*c)^(1/2) + 8*C*a*c^2*d^4*e*x*(-a^3*c)^(1/2) + 12*A*a*c^2*d^2*e^3*x*(-a^3*c)^(1/2) - 8*B*a*c^2*d^3*e^2*x*(-a^3*c)^(1/2) - 8*C*a^2*c*d^2*e^3*x*(-a^3*c)^(1/2))*(c*(a^3*((A*e^3)/2 - (B*d*e^2)/2 + (C*d^2*e)/2) + a*((C*d^3*(-a^3*c)^(1/2))/4 + (3*A*d*e^2*(-a^3*c)^(1/2))/4 - (B*d^2*e*(-a^3*c)^(1/2))/4)) + a^2*((B*e^3*(-a^3*c)^(1/2))/4 - (C*d*e^2*(-a^3*c)^(1/2))/4) + (A*c^2*d^3*(-a^3*c)^(1/2))/4))/(a^5*c*e^4 + a^3*c^3*d^4 + 2*a^4*c^2*d^2*e^2) - ((B*c*d - A*c*e + C*a*e)/(2*c*(a*e^2 + c*d^2)) - (x*(A*c*d + B*a*e - C*a*d))/(2*a*(a*e^2 + c*d^2)))/(a + c*x^2) + (e*log(d + e*x)*(A*e^2 + C*d^2 - B*d*e))/(a*e^2 + c*d^2)^2","B"
55,1,2094,374,9.909364,"\text{Not used}","int((A + B*x + C*x^2)/((a + c*x^2)^2*(d + e*x)^2),x)","\frac{\frac{x^2\,\left(C\,a^2\,e^3-3\,C\,a\,c\,d^2\,e+4\,B\,a\,c\,d\,e^2-3\,A\,a\,c\,e^3+A\,c^2\,d^2\,e\right)}{2\,a\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}-\frac{2\,A\,a\,e^3+B\,c\,d^3-3\,B\,a\,d\,e^2-2\,A\,c\,d^2\,e+4\,C\,a\,d^2\,e}{2\,{\left(c\,d^2+a\,e^2\right)}^2}+\frac{x\,\left(A\,c\,d+B\,a\,e-C\,a\,d\right)}{2\,a\,\left(c\,d^2+a\,e^2\right)}}{c\,e\,x^3+c\,d\,x^2+a\,e\,x+a\,d}-\frac{\ln\left(3\,A\,e^6\,{\left(-a^3\,c\right)}^{3/2}-A\,c^4\,d^6\,\sqrt{-a^3\,c}+C\,a^4\,e^6\,\sqrt{-a^3\,c}+31\,C\,d^2\,e^4\,{\left(-a^3\,c\right)}^{3/2}+6\,B\,a^5\,c\,e^6-18\,B\,d\,e^5\,{\left(-a^3\,c\right)}^{3/2}-6\,B\,e^6\,x\,{\left(-a^3\,c\right)}^{3/2}-C\,a^5\,c\,e^6\,x+14\,C\,d\,e^5\,x\,{\left(-a^3\,c\right)}^{3/2}-2\,A\,a^2\,c^4\,d^5\,e+30\,A\,a^4\,c^2\,d\,e^5-14\,C\,a^3\,c^3\,d^5\,e+3\,A\,a^4\,c^2\,e^6\,x+C\,a^2\,c^4\,d^6\,x-C\,a\,c^3\,d^6\,\sqrt{-a^3\,c}-36\,A\,a^3\,c^3\,d^3\,e^3+22\,B\,a^3\,c^3\,d^4\,e^2-36\,B\,a^4\,c^2\,d^2\,e^4+36\,C\,a^4\,c^2\,d^3\,e^3-14\,C\,a^5\,c\,d\,e^5+A\,a\,c^5\,d^6\,x+5\,A\,a^2\,c^4\,d^4\,e^2\,x-57\,A\,a^3\,c^3\,d^2\,e^4\,x+44\,B\,a^3\,c^3\,d^3\,e^3\,x-31\,C\,a^3\,c^3\,d^4\,e^2\,x+31\,C\,a^4\,c^2\,d^2\,e^4\,x-5\,A\,a\,c^3\,d^4\,e^2\,\sqrt{-a^3\,c}+57\,A\,a^2\,c^2\,d^2\,e^4\,\sqrt{-a^3\,c}-44\,B\,a^2\,c^2\,d^3\,e^3\,\sqrt{-a^3\,c}+31\,C\,a^2\,c^2\,d^4\,e^2\,\sqrt{-a^3\,c}-2\,B\,a^2\,c^4\,d^5\,e\,x-18\,B\,a^4\,c^2\,d\,e^5\,x+2\,B\,a\,c^3\,d^5\,e\,\sqrt{-a^3\,c}-2\,A\,c^4\,d^5\,e\,x\,\sqrt{-a^3\,c}-36\,B\,a^2\,c^2\,d^2\,e^4\,x\,\sqrt{-a^3\,c}+36\,C\,a^2\,c^2\,d^3\,e^3\,x\,\sqrt{-a^3\,c}-14\,C\,a\,c^3\,d^5\,e\,x\,\sqrt{-a^3\,c}-36\,A\,a\,c^3\,d^3\,e^3\,x\,\sqrt{-a^3\,c}+30\,A\,a^2\,c^2\,d\,e^5\,x\,\sqrt{-a^3\,c}+22\,B\,a\,c^3\,d^4\,e^2\,x\,\sqrt{-a^3\,c}\right)\,\left(c^2\,\left(a\,\left(\frac{C\,d^4\,\sqrt{-a^3\,c}}{4}+\frac{3\,A\,d^2\,e^2\,\sqrt{-a^3\,c}}{2}-\frac{B\,d^3\,e\,\sqrt{-a^3\,c}}{2}\right)+a^3\,\left(C\,d^3\,e-\frac{3\,B\,d^2\,e^2}{2}+2\,A\,d\,e^3\right)\right)-c\,\left(a^2\,\left(\frac{3\,A\,e^4\,\sqrt{-a^3\,c}}{4}+\frac{3\,C\,d^2\,e^2\,\sqrt{-a^3\,c}}{2}-\frac{3\,B\,d\,e^3\,\sqrt{-a^3\,c}}{2}\right)-a^4\,\left(\frac{B\,e^4}{2}-C\,d\,e^3\right)\right)+\frac{A\,c^3\,d^4\,\sqrt{-a^3\,c}}{4}+\frac{C\,a^3\,e^4\,\sqrt{-a^3\,c}}{4}\right)}{a^6\,c\,e^6+3\,a^5\,c^2\,d^2\,e^4+3\,a^4\,c^3\,d^4\,e^2+a^3\,c^4\,d^6}+\frac{\ln\left(3\,A\,e^6\,{\left(-a^3\,c\right)}^{3/2}-A\,c^4\,d^6\,\sqrt{-a^3\,c}+C\,a^4\,e^6\,\sqrt{-a^3\,c}+31\,C\,d^2\,e^4\,{\left(-a^3\,c\right)}^{3/2}-6\,B\,a^5\,c\,e^6-18\,B\,d\,e^5\,{\left(-a^3\,c\right)}^{3/2}-6\,B\,e^6\,x\,{\left(-a^3\,c\right)}^{3/2}+C\,a^5\,c\,e^6\,x+14\,C\,d\,e^5\,x\,{\left(-a^3\,c\right)}^{3/2}+2\,A\,a^2\,c^4\,d^5\,e-30\,A\,a^4\,c^2\,d\,e^5+14\,C\,a^3\,c^3\,d^5\,e-3\,A\,a^4\,c^2\,e^6\,x-C\,a^2\,c^4\,d^6\,x-C\,a\,c^3\,d^6\,\sqrt{-a^3\,c}+36\,A\,a^3\,c^3\,d^3\,e^3-22\,B\,a^3\,c^3\,d^4\,e^2+36\,B\,a^4\,c^2\,d^2\,e^4-36\,C\,a^4\,c^2\,d^3\,e^3+14\,C\,a^5\,c\,d\,e^5-A\,a\,c^5\,d^6\,x-5\,A\,a^2\,c^4\,d^4\,e^2\,x+57\,A\,a^3\,c^3\,d^2\,e^4\,x-44\,B\,a^3\,c^3\,d^3\,e^3\,x+31\,C\,a^3\,c^3\,d^4\,e^2\,x-31\,C\,a^4\,c^2\,d^2\,e^4\,x-5\,A\,a\,c^3\,d^4\,e^2\,\sqrt{-a^3\,c}+57\,A\,a^2\,c^2\,d^2\,e^4\,\sqrt{-a^3\,c}-44\,B\,a^2\,c^2\,d^3\,e^3\,\sqrt{-a^3\,c}+31\,C\,a^2\,c^2\,d^4\,e^2\,\sqrt{-a^3\,c}+2\,B\,a^2\,c^4\,d^5\,e\,x+18\,B\,a^4\,c^2\,d\,e^5\,x+2\,B\,a\,c^3\,d^5\,e\,\sqrt{-a^3\,c}-2\,A\,c^4\,d^5\,e\,x\,\sqrt{-a^3\,c}-36\,B\,a^2\,c^2\,d^2\,e^4\,x\,\sqrt{-a^3\,c}+36\,C\,a^2\,c^2\,d^3\,e^3\,x\,\sqrt{-a^3\,c}-14\,C\,a\,c^3\,d^5\,e\,x\,\sqrt{-a^3\,c}-36\,A\,a\,c^3\,d^3\,e^3\,x\,\sqrt{-a^3\,c}+30\,A\,a^2\,c^2\,d\,e^5\,x\,\sqrt{-a^3\,c}+22\,B\,a\,c^3\,d^4\,e^2\,x\,\sqrt{-a^3\,c}\right)\,\left(c^2\,\left(a\,\left(\frac{C\,d^4\,\sqrt{-a^3\,c}}{4}+\frac{3\,A\,d^2\,e^2\,\sqrt{-a^3\,c}}{2}-\frac{B\,d^3\,e\,\sqrt{-a^3\,c}}{2}\right)-a^3\,\left(C\,d^3\,e-\frac{3\,B\,d^2\,e^2}{2}+2\,A\,d\,e^3\right)\right)-c\,\left(a^2\,\left(\frac{3\,A\,e^4\,\sqrt{-a^3\,c}}{4}+\frac{3\,C\,d^2\,e^2\,\sqrt{-a^3\,c}}{2}-\frac{3\,B\,d\,e^3\,\sqrt{-a^3\,c}}{2}\right)+a^4\,\left(\frac{B\,e^4}{2}-C\,d\,e^3\right)\right)+\frac{A\,c^3\,d^4\,\sqrt{-a^3\,c}}{4}+\frac{C\,a^3\,e^4\,\sqrt{-a^3\,c}}{4}\right)}{a^6\,c\,e^6+3\,a^5\,c^2\,d^2\,e^4+3\,a^4\,c^3\,d^4\,e^2+a^3\,c^4\,d^6}+\frac{\ln\left(d+e\,x\right)\,\left(a\,\left(B\,e^4-2\,C\,d\,e^3\right)+c\,\left(2\,C\,d^3\,e-3\,B\,d^2\,e^2+4\,A\,d\,e^3\right)\right)}{a^3\,e^6+3\,a^2\,c\,d^2\,e^4+3\,a\,c^2\,d^4\,e^2+c^3\,d^6}","Not used",1,"((x^2*(C*a^2*e^3 - 3*A*a*c*e^3 + A*c^2*d^2*e + 4*B*a*c*d*e^2 - 3*C*a*c*d^2*e))/(2*a*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) - (2*A*a*e^3 + B*c*d^3 - 3*B*a*d*e^2 - 2*A*c*d^2*e + 4*C*a*d^2*e)/(2*(a*e^2 + c*d^2)^2) + (x*(A*c*d + B*a*e - C*a*d))/(2*a*(a*e^2 + c*d^2)))/(a*d + a*e*x + c*d*x^2 + c*e*x^3) - (log(3*A*e^6*(-a^3*c)^(3/2) - A*c^4*d^6*(-a^3*c)^(1/2) + C*a^4*e^6*(-a^3*c)^(1/2) + 31*C*d^2*e^4*(-a^3*c)^(3/2) + 6*B*a^5*c*e^6 - 18*B*d*e^5*(-a^3*c)^(3/2) - 6*B*e^6*x*(-a^3*c)^(3/2) - C*a^5*c*e^6*x + 14*C*d*e^5*x*(-a^3*c)^(3/2) - 2*A*a^2*c^4*d^5*e + 30*A*a^4*c^2*d*e^5 - 14*C*a^3*c^3*d^5*e + 3*A*a^4*c^2*e^6*x + C*a^2*c^4*d^6*x - C*a*c^3*d^6*(-a^3*c)^(1/2) - 36*A*a^3*c^3*d^3*e^3 + 22*B*a^3*c^3*d^4*e^2 - 36*B*a^4*c^2*d^2*e^4 + 36*C*a^4*c^2*d^3*e^3 - 14*C*a^5*c*d*e^5 + A*a*c^5*d^6*x + 5*A*a^2*c^4*d^4*e^2*x - 57*A*a^3*c^3*d^2*e^4*x + 44*B*a^3*c^3*d^3*e^3*x - 31*C*a^3*c^3*d^4*e^2*x + 31*C*a^4*c^2*d^2*e^4*x - 5*A*a*c^3*d^4*e^2*(-a^3*c)^(1/2) + 57*A*a^2*c^2*d^2*e^4*(-a^3*c)^(1/2) - 44*B*a^2*c^2*d^3*e^3*(-a^3*c)^(1/2) + 31*C*a^2*c^2*d^4*e^2*(-a^3*c)^(1/2) - 2*B*a^2*c^4*d^5*e*x - 18*B*a^4*c^2*d*e^5*x + 2*B*a*c^3*d^5*e*(-a^3*c)^(1/2) - 2*A*c^4*d^5*e*x*(-a^3*c)^(1/2) - 36*B*a^2*c^2*d^2*e^4*x*(-a^3*c)^(1/2) + 36*C*a^2*c^2*d^3*e^3*x*(-a^3*c)^(1/2) - 14*C*a*c^3*d^5*e*x*(-a^3*c)^(1/2) - 36*A*a*c^3*d^3*e^3*x*(-a^3*c)^(1/2) + 30*A*a^2*c^2*d*e^5*x*(-a^3*c)^(1/2) + 22*B*a*c^3*d^4*e^2*x*(-a^3*c)^(1/2))*(c^2*(a*((C*d^4*(-a^3*c)^(1/2))/4 + (3*A*d^2*e^2*(-a^3*c)^(1/2))/2 - (B*d^3*e*(-a^3*c)^(1/2))/2) + a^3*(2*A*d*e^3 - (3*B*d^2*e^2)/2 + C*d^3*e)) - c*(a^2*((3*A*e^4*(-a^3*c)^(1/2))/4 + (3*C*d^2*e^2*(-a^3*c)^(1/2))/2 - (3*B*d*e^3*(-a^3*c)^(1/2))/2) - a^4*((B*e^4)/2 - C*d*e^3)) + (A*c^3*d^4*(-a^3*c)^(1/2))/4 + (C*a^3*e^4*(-a^3*c)^(1/2))/4))/(a^6*c*e^6 + a^3*c^4*d^6 + 3*a^4*c^3*d^4*e^2 + 3*a^5*c^2*d^2*e^4) + (log(3*A*e^6*(-a^3*c)^(3/2) - A*c^4*d^6*(-a^3*c)^(1/2) + C*a^4*e^6*(-a^3*c)^(1/2) + 31*C*d^2*e^4*(-a^3*c)^(3/2) - 6*B*a^5*c*e^6 - 18*B*d*e^5*(-a^3*c)^(3/2) - 6*B*e^6*x*(-a^3*c)^(3/2) + C*a^5*c*e^6*x + 14*C*d*e^5*x*(-a^3*c)^(3/2) + 2*A*a^2*c^4*d^5*e - 30*A*a^4*c^2*d*e^5 + 14*C*a^3*c^3*d^5*e - 3*A*a^4*c^2*e^6*x - C*a^2*c^4*d^6*x - C*a*c^3*d^6*(-a^3*c)^(1/2) + 36*A*a^3*c^3*d^3*e^3 - 22*B*a^3*c^3*d^4*e^2 + 36*B*a^4*c^2*d^2*e^4 - 36*C*a^4*c^2*d^3*e^3 + 14*C*a^5*c*d*e^5 - A*a*c^5*d^6*x - 5*A*a^2*c^4*d^4*e^2*x + 57*A*a^3*c^3*d^2*e^4*x - 44*B*a^3*c^3*d^3*e^3*x + 31*C*a^3*c^3*d^4*e^2*x - 31*C*a^4*c^2*d^2*e^4*x - 5*A*a*c^3*d^4*e^2*(-a^3*c)^(1/2) + 57*A*a^2*c^2*d^2*e^4*(-a^3*c)^(1/2) - 44*B*a^2*c^2*d^3*e^3*(-a^3*c)^(1/2) + 31*C*a^2*c^2*d^4*e^2*(-a^3*c)^(1/2) + 2*B*a^2*c^4*d^5*e*x + 18*B*a^4*c^2*d*e^5*x + 2*B*a*c^3*d^5*e*(-a^3*c)^(1/2) - 2*A*c^4*d^5*e*x*(-a^3*c)^(1/2) - 36*B*a^2*c^2*d^2*e^4*x*(-a^3*c)^(1/2) + 36*C*a^2*c^2*d^3*e^3*x*(-a^3*c)^(1/2) - 14*C*a*c^3*d^5*e*x*(-a^3*c)^(1/2) - 36*A*a*c^3*d^3*e^3*x*(-a^3*c)^(1/2) + 30*A*a^2*c^2*d*e^5*x*(-a^3*c)^(1/2) + 22*B*a*c^3*d^4*e^2*x*(-a^3*c)^(1/2))*(c^2*(a*((C*d^4*(-a^3*c)^(1/2))/4 + (3*A*d^2*e^2*(-a^3*c)^(1/2))/2 - (B*d^3*e*(-a^3*c)^(1/2))/2) - a^3*(2*A*d*e^3 - (3*B*d^2*e^2)/2 + C*d^3*e)) - c*(a^2*((3*A*e^4*(-a^3*c)^(1/2))/4 + (3*C*d^2*e^2*(-a^3*c)^(1/2))/2 - (3*B*d*e^3*(-a^3*c)^(1/2))/2) + a^4*((B*e^4)/2 - C*d*e^3)) + (A*c^3*d^4*(-a^3*c)^(1/2))/4 + (C*a^3*e^4*(-a^3*c)^(1/2))/4))/(a^6*c*e^6 + a^3*c^4*d^6 + 3*a^4*c^3*d^4*e^2 + 3*a^5*c^2*d^2*e^4) + (log(d + e*x)*(a*(B*e^4 - 2*C*d*e^3) + c*(4*A*d*e^3 - 3*B*d^2*e^2 + 2*C*d^3*e)))/(a^3*e^6 + c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4)","B"
56,1,2828,524,14.480159,"\text{Not used}","int((A + B*x + C*x^2)/((a + c*x^2)^2*(d + e*x)^3),x)","\frac{\ln\left(C\,c^2\,d^7\,{\left(-a^3\,c\right)}^{3/2}-3\,B\,a^6\,e^7\,\sqrt{-a^3\,c}-6\,C\,a^8\,e^7+12\,A\,a^7\,c\,e^7-3\,B\,a^7\,c\,e^7\,x+2\,A\,a^4\,c^4\,d^6\,e+20\,C\,a^5\,c^3\,d^6\,e+72\,C\,a^7\,c\,d^2\,e^5-A\,a^3\,c^5\,d^7\,x-C\,a^4\,c^4\,d^7\,x+39\,A\,a^2\,d\,e^6\,{\left(-a^3\,c\right)}^{3/2}+21\,C\,a^6\,d\,e^6\,\sqrt{-a^3\,c}-3\,B\,c^2\,d^6\,e\,{\left(-a^3\,c\right)}^{3/2}+12\,A\,a^2\,e^7\,x\,{\left(-a^3\,c\right)}^{3/2}+6\,C\,a^6\,e^7\,x\,\sqrt{-a^3\,c}+80\,A\,a^5\,c^3\,d^4\,e^3-102\,A\,a^6\,c^2\,d^2\,e^5-42\,B\,a^5\,c^3\,d^5\,e^2+108\,B\,a^6\,c^2\,d^3\,e^4-94\,C\,a^6\,c^2\,d^4\,e^3-A\,a^2\,c^4\,d^7\,\sqrt{-a^3\,c}-93\,B\,a^2\,d^2\,e^5\,{\left(-a^3\,c\right)}^{3/2}+9\,A\,c^2\,d^5\,e^2\,{\left(-a^3\,c\right)}^{3/2}+119\,C\,a^2\,d^3\,e^4\,{\left(-a^3\,c\right)}^{3/2}-42\,B\,a^7\,c\,d\,e^6-9\,A\,a^4\,c^4\,d^5\,e^2\,x+145\,A\,a^5\,c^3\,d^3\,e^4\,x-93\,B\,a^5\,c^3\,d^4\,e^3\,x+93\,B\,a^6\,c^2\,d^2\,e^5\,x+51\,C\,a^5\,c^3\,d^5\,e^2\,x-119\,C\,a^6\,c^2\,d^3\,e^4\,x+80\,A\,c^2\,d^4\,e^3\,x\,{\left(-a^3\,c\right)}^{3/2}+72\,C\,a^2\,d^2\,e^5\,x\,{\left(-a^3\,c\right)}^{3/2}-42\,B\,c^2\,d^5\,e^2\,x\,{\left(-a^3\,c\right)}^{3/2}+21\,C\,a^7\,c\,d\,e^6\,x-39\,A\,a^6\,c^2\,d\,e^6\,x+3\,B\,a^4\,c^4\,d^6\,e\,x-145\,A\,a\,c\,d^3\,e^4\,{\left(-a^3\,c\right)}^{3/2}+93\,B\,a\,c\,d^4\,e^3\,{\left(-a^3\,c\right)}^{3/2}-51\,C\,a\,c\,d^5\,e^2\,{\left(-a^3\,c\right)}^{3/2}-42\,B\,a^2\,d\,e^6\,x\,{\left(-a^3\,c\right)}^{3/2}+20\,C\,c^2\,d^6\,e\,x\,{\left(-a^3\,c\right)}^{3/2}-102\,A\,a\,c\,d^2\,e^5\,x\,{\left(-a^3\,c\right)}^{3/2}+108\,B\,a\,c\,d^3\,e^4\,x\,{\left(-a^3\,c\right)}^{3/2}-94\,C\,a\,c\,d^4\,e^3\,x\,{\left(-a^3\,c\right)}^{3/2}-2\,A\,a^2\,c^4\,d^6\,e\,x\,\sqrt{-a^3\,c}\right)\,\left(e^2\,\left(3\,B\,a^3\,c^2\,d^3+\frac{5\,A\,a\,c^2\,d^3\,\sqrt{-a^3\,c}}{2}-\frac{7\,C\,a^2\,c\,d^3\,\sqrt{-a^3\,c}}{2}\right)+e^3\,\left(4\,C\,a^4\,c\,d^2-5\,A\,a^3\,c^2\,d^2+\frac{9\,B\,a^2\,c\,d^2\,\sqrt{-a^3\,c}}{2}\right)-e^4\,\left(3\,B\,a^4\,c\,d-\frac{9\,C\,a^3\,d\,\sqrt{-a^3\,c}}{4}+\frac{15\,A\,a^2\,c\,d\,\sqrt{-a^3\,c}}{4}\right)-e\,\left(\frac{3\,C\,a^3\,c^2\,d^4}{2}+\frac{3\,B\,a\,c^2\,d^4\,\sqrt{-a^3\,c}}{4}\right)-e^5\,\left(\frac{C\,a^5}{2}+\frac{3\,B\,a^3\,\sqrt{-a^3\,c}}{4}-A\,a^4\,c\right)+\frac{A\,c^3\,d^5\,\sqrt{-a^3\,c}}{4}+\frac{C\,a\,c^2\,d^5\,\sqrt{-a^3\,c}}{4}\right)}{a^7\,e^8+4\,a^6\,c\,d^2\,e^6+6\,a^5\,c^2\,d^4\,e^4+4\,a^4\,c^3\,d^6\,e^2+a^3\,c^4\,d^8}-\frac{\ln\left(3\,B\,a^6\,e^7\,\sqrt{-a^3\,c}-6\,C\,a^8\,e^7-C\,c^2\,d^7\,{\left(-a^3\,c\right)}^{3/2}+12\,A\,a^7\,c\,e^7-3\,B\,a^7\,c\,e^7\,x+2\,A\,a^4\,c^4\,d^6\,e+20\,C\,a^5\,c^3\,d^6\,e+72\,C\,a^7\,c\,d^2\,e^5-A\,a^3\,c^5\,d^7\,x-C\,a^4\,c^4\,d^7\,x-39\,A\,a^2\,d\,e^6\,{\left(-a^3\,c\right)}^{3/2}-21\,C\,a^6\,d\,e^6\,\sqrt{-a^3\,c}+3\,B\,c^2\,d^6\,e\,{\left(-a^3\,c\right)}^{3/2}-12\,A\,a^2\,e^7\,x\,{\left(-a^3\,c\right)}^{3/2}-6\,C\,a^6\,e^7\,x\,\sqrt{-a^3\,c}+80\,A\,a^5\,c^3\,d^4\,e^3-102\,A\,a^6\,c^2\,d^2\,e^5-42\,B\,a^5\,c^3\,d^5\,e^2+108\,B\,a^6\,c^2\,d^3\,e^4-94\,C\,a^6\,c^2\,d^4\,e^3+A\,a^2\,c^4\,d^7\,\sqrt{-a^3\,c}+93\,B\,a^2\,d^2\,e^5\,{\left(-a^3\,c\right)}^{3/2}-9\,A\,c^2\,d^5\,e^2\,{\left(-a^3\,c\right)}^{3/2}-119\,C\,a^2\,d^3\,e^4\,{\left(-a^3\,c\right)}^{3/2}-42\,B\,a^7\,c\,d\,e^6-9\,A\,a^4\,c^4\,d^5\,e^2\,x+145\,A\,a^5\,c^3\,d^3\,e^4\,x-93\,B\,a^5\,c^3\,d^4\,e^3\,x+93\,B\,a^6\,c^2\,d^2\,e^5\,x+51\,C\,a^5\,c^3\,d^5\,e^2\,x-119\,C\,a^6\,c^2\,d^3\,e^4\,x-80\,A\,c^2\,d^4\,e^3\,x\,{\left(-a^3\,c\right)}^{3/2}-72\,C\,a^2\,d^2\,e^5\,x\,{\left(-a^3\,c\right)}^{3/2}+42\,B\,c^2\,d^5\,e^2\,x\,{\left(-a^3\,c\right)}^{3/2}+21\,C\,a^7\,c\,d\,e^6\,x-39\,A\,a^6\,c^2\,d\,e^6\,x+3\,B\,a^4\,c^4\,d^6\,e\,x+145\,A\,a\,c\,d^3\,e^4\,{\left(-a^3\,c\right)}^{3/2}-93\,B\,a\,c\,d^4\,e^3\,{\left(-a^3\,c\right)}^{3/2}+51\,C\,a\,c\,d^5\,e^2\,{\left(-a^3\,c\right)}^{3/2}+42\,B\,a^2\,d\,e^6\,x\,{\left(-a^3\,c\right)}^{3/2}-20\,C\,c^2\,d^6\,e\,x\,{\left(-a^3\,c\right)}^{3/2}+102\,A\,a\,c\,d^2\,e^5\,x\,{\left(-a^3\,c\right)}^{3/2}-108\,B\,a\,c\,d^3\,e^4\,x\,{\left(-a^3\,c\right)}^{3/2}+94\,C\,a\,c\,d^4\,e^3\,x\,{\left(-a^3\,c\right)}^{3/2}+2\,A\,a^2\,c^4\,d^6\,e\,x\,\sqrt{-a^3\,c}\right)\,\left(e^3\,\left(5\,A\,a^3\,c^2\,d^2-4\,C\,a^4\,c\,d^2+\frac{9\,B\,a^2\,c\,d^2\,\sqrt{-a^3\,c}}{2}\right)-e^2\,\left(3\,B\,a^3\,c^2\,d^3-\frac{5\,A\,a\,c^2\,d^3\,\sqrt{-a^3\,c}}{2}+\frac{7\,C\,a^2\,c\,d^3\,\sqrt{-a^3\,c}}{2}\right)+e^4\,\left(3\,B\,a^4\,c\,d+\frac{9\,C\,a^3\,d\,\sqrt{-a^3\,c}}{4}-\frac{15\,A\,a^2\,c\,d\,\sqrt{-a^3\,c}}{4}\right)+e\,\left(\frac{3\,C\,a^3\,c^2\,d^4}{2}-\frac{3\,B\,a\,c^2\,d^4\,\sqrt{-a^3\,c}}{4}\right)-e^5\,\left(\frac{3\,B\,a^3\,\sqrt{-a^3\,c}}{4}-\frac{C\,a^5}{2}+A\,a^4\,c\right)+\frac{A\,c^3\,d^5\,\sqrt{-a^3\,c}}{4}+\frac{C\,a\,c^2\,d^5\,\sqrt{-a^3\,c}}{4}\right)}{a^7\,e^8+4\,a^6\,c\,d^2\,e^6+6\,a^5\,c^2\,d^4\,e^4+4\,a^4\,c^3\,d^6\,e^2+a^3\,c^4\,d^8}-\frac{\frac{-4\,C\,a^2\,d^2\,e^3+B\,a^2\,d\,e^4+A\,a^2\,e^5+8\,C\,a\,c\,d^4\,e-10\,B\,a\,c\,d^3\,e^2+10\,A\,a\,c\,d^2\,e^3+B\,c^2\,d^5-3\,A\,c^2\,d^4\,e}{2\,\left(c\,d^2+a\,e^2\right)\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}+\frac{x^3\,\left(-7\,C\,a^2\,c\,d\,e^4+3\,B\,a^2\,c\,e^5+5\,C\,a\,c^2\,d^3\,e^2-9\,B\,a\,c^2\,d^2\,e^3+11\,A\,a\,c^2\,d\,e^4-A\,c^3\,d^3\,e^2\right)}{2\,a\,\left(a^3\,e^6+3\,a^2\,c\,d^2\,e^4+3\,a\,c^2\,d^4\,e^2+c^3\,d^6\right)}-\frac{x\,\left(6\,C\,a^3\,d\,e^4-2\,B\,a^3\,e^5-7\,C\,a^2\,c\,d^3\,e^2+11\,B\,a^2\,c\,d^2\,e^3-10\,A\,a^2\,c\,d\,e^4-C\,a\,c^2\,d^5+B\,a\,c^2\,d^4\,e+3\,A\,a\,c^2\,d^3\,e^2+A\,c^3\,d^5\right)}{2\,a\,\left(c\,d^2+a\,e^2\right)\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}-\frac{x^2\,\left(C\,a^3\,e^5+6\,C\,a^2\,c\,d^2\,e^3-2\,A\,a^2\,c\,e^5-7\,C\,a\,c^2\,d^4\,e+12\,B\,a\,c^2\,d^3\,e^2-12\,A\,a\,c^2\,d^2\,e^3+2\,A\,c^3\,d^4\,e\right)}{2\,a\,\left(c\,d^2+a\,e^2\right)\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}}{a\,d^2+x^2\,\left(c\,d^2+a\,e^2\right)+c\,e^2\,x^4+2\,a\,d\,e\,x+2\,c\,d\,e\,x^3}+\frac{\ln\left(d+e\,x\right)\,\left(c^2\,\left(3\,C\,d^4\,e-6\,B\,d^3\,e^2+10\,A\,d^2\,e^3\right)-c\,\left(8\,C\,a\,d^2\,e^3-6\,B\,a\,d\,e^4+2\,A\,a\,e^5\right)+C\,a^2\,e^5\right)}{a^4\,e^8+4\,a^3\,c\,d^2\,e^6+6\,a^2\,c^2\,d^4\,e^4+4\,a\,c^3\,d^6\,e^2+c^4\,d^8}","Not used",1,"(log(C*c^2*d^7*(-a^3*c)^(3/2) - 3*B*a^6*e^7*(-a^3*c)^(1/2) - 6*C*a^8*e^7 + 12*A*a^7*c*e^7 - 3*B*a^7*c*e^7*x + 2*A*a^4*c^4*d^6*e + 20*C*a^5*c^3*d^6*e + 72*C*a^7*c*d^2*e^5 - A*a^3*c^5*d^7*x - C*a^4*c^4*d^7*x + 39*A*a^2*d*e^6*(-a^3*c)^(3/2) + 21*C*a^6*d*e^6*(-a^3*c)^(1/2) - 3*B*c^2*d^6*e*(-a^3*c)^(3/2) + 12*A*a^2*e^7*x*(-a^3*c)^(3/2) + 6*C*a^6*e^7*x*(-a^3*c)^(1/2) + 80*A*a^5*c^3*d^4*e^3 - 102*A*a^6*c^2*d^2*e^5 - 42*B*a^5*c^3*d^5*e^2 + 108*B*a^6*c^2*d^3*e^4 - 94*C*a^6*c^2*d^4*e^3 - A*a^2*c^4*d^7*(-a^3*c)^(1/2) - 93*B*a^2*d^2*e^5*(-a^3*c)^(3/2) + 9*A*c^2*d^5*e^2*(-a^3*c)^(3/2) + 119*C*a^2*d^3*e^4*(-a^3*c)^(3/2) - 42*B*a^7*c*d*e^6 - 9*A*a^4*c^4*d^5*e^2*x + 145*A*a^5*c^3*d^3*e^4*x - 93*B*a^5*c^3*d^4*e^3*x + 93*B*a^6*c^2*d^2*e^5*x + 51*C*a^5*c^3*d^5*e^2*x - 119*C*a^6*c^2*d^3*e^4*x + 80*A*c^2*d^4*e^3*x*(-a^3*c)^(3/2) + 72*C*a^2*d^2*e^5*x*(-a^3*c)^(3/2) - 42*B*c^2*d^5*e^2*x*(-a^3*c)^(3/2) + 21*C*a^7*c*d*e^6*x - 39*A*a^6*c^2*d*e^6*x + 3*B*a^4*c^4*d^6*e*x - 145*A*a*c*d^3*e^4*(-a^3*c)^(3/2) + 93*B*a*c*d^4*e^3*(-a^3*c)^(3/2) - 51*C*a*c*d^5*e^2*(-a^3*c)^(3/2) - 42*B*a^2*d*e^6*x*(-a^3*c)^(3/2) + 20*C*c^2*d^6*e*x*(-a^3*c)^(3/2) - 102*A*a*c*d^2*e^5*x*(-a^3*c)^(3/2) + 108*B*a*c*d^3*e^4*x*(-a^3*c)^(3/2) - 94*C*a*c*d^4*e^3*x*(-a^3*c)^(3/2) - 2*A*a^2*c^4*d^6*e*x*(-a^3*c)^(1/2))*(e^2*(3*B*a^3*c^2*d^3 + (5*A*a*c^2*d^3*(-a^3*c)^(1/2))/2 - (7*C*a^2*c*d^3*(-a^3*c)^(1/2))/2) + e^3*(4*C*a^4*c*d^2 - 5*A*a^3*c^2*d^2 + (9*B*a^2*c*d^2*(-a^3*c)^(1/2))/2) - e^4*(3*B*a^4*c*d - (9*C*a^3*d*(-a^3*c)^(1/2))/4 + (15*A*a^2*c*d*(-a^3*c)^(1/2))/4) - e*((3*C*a^3*c^2*d^4)/2 + (3*B*a*c^2*d^4*(-a^3*c)^(1/2))/4) - e^5*((C*a^5)/2 + (3*B*a^3*(-a^3*c)^(1/2))/4 - A*a^4*c) + (A*c^3*d^5*(-a^3*c)^(1/2))/4 + (C*a*c^2*d^5*(-a^3*c)^(1/2))/4))/(a^7*e^8 + a^3*c^4*d^8 + 4*a^6*c*d^2*e^6 + 4*a^4*c^3*d^6*e^2 + 6*a^5*c^2*d^4*e^4) - (log(3*B*a^6*e^7*(-a^3*c)^(1/2) - 6*C*a^8*e^7 - C*c^2*d^7*(-a^3*c)^(3/2) + 12*A*a^7*c*e^7 - 3*B*a^7*c*e^7*x + 2*A*a^4*c^4*d^6*e + 20*C*a^5*c^3*d^6*e + 72*C*a^7*c*d^2*e^5 - A*a^3*c^5*d^7*x - C*a^4*c^4*d^7*x - 39*A*a^2*d*e^6*(-a^3*c)^(3/2) - 21*C*a^6*d*e^6*(-a^3*c)^(1/2) + 3*B*c^2*d^6*e*(-a^3*c)^(3/2) - 12*A*a^2*e^7*x*(-a^3*c)^(3/2) - 6*C*a^6*e^7*x*(-a^3*c)^(1/2) + 80*A*a^5*c^3*d^4*e^3 - 102*A*a^6*c^2*d^2*e^5 - 42*B*a^5*c^3*d^5*e^2 + 108*B*a^6*c^2*d^3*e^4 - 94*C*a^6*c^2*d^4*e^3 + A*a^2*c^4*d^7*(-a^3*c)^(1/2) + 93*B*a^2*d^2*e^5*(-a^3*c)^(3/2) - 9*A*c^2*d^5*e^2*(-a^3*c)^(3/2) - 119*C*a^2*d^3*e^4*(-a^3*c)^(3/2) - 42*B*a^7*c*d*e^6 - 9*A*a^4*c^4*d^5*e^2*x + 145*A*a^5*c^3*d^3*e^4*x - 93*B*a^5*c^3*d^4*e^3*x + 93*B*a^6*c^2*d^2*e^5*x + 51*C*a^5*c^3*d^5*e^2*x - 119*C*a^6*c^2*d^3*e^4*x - 80*A*c^2*d^4*e^3*x*(-a^3*c)^(3/2) - 72*C*a^2*d^2*e^5*x*(-a^3*c)^(3/2) + 42*B*c^2*d^5*e^2*x*(-a^3*c)^(3/2) + 21*C*a^7*c*d*e^6*x - 39*A*a^6*c^2*d*e^6*x + 3*B*a^4*c^4*d^6*e*x + 145*A*a*c*d^3*e^4*(-a^3*c)^(3/2) - 93*B*a*c*d^4*e^3*(-a^3*c)^(3/2) + 51*C*a*c*d^5*e^2*(-a^3*c)^(3/2) + 42*B*a^2*d*e^6*x*(-a^3*c)^(3/2) - 20*C*c^2*d^6*e*x*(-a^3*c)^(3/2) + 102*A*a*c*d^2*e^5*x*(-a^3*c)^(3/2) - 108*B*a*c*d^3*e^4*x*(-a^3*c)^(3/2) + 94*C*a*c*d^4*e^3*x*(-a^3*c)^(3/2) + 2*A*a^2*c^4*d^6*e*x*(-a^3*c)^(1/2))*(e^3*(5*A*a^3*c^2*d^2 - 4*C*a^4*c*d^2 + (9*B*a^2*c*d^2*(-a^3*c)^(1/2))/2) - e^2*(3*B*a^3*c^2*d^3 - (5*A*a*c^2*d^3*(-a^3*c)^(1/2))/2 + (7*C*a^2*c*d^3*(-a^3*c)^(1/2))/2) + e^4*(3*B*a^4*c*d + (9*C*a^3*d*(-a^3*c)^(1/2))/4 - (15*A*a^2*c*d*(-a^3*c)^(1/2))/4) + e*((3*C*a^3*c^2*d^4)/2 - (3*B*a*c^2*d^4*(-a^3*c)^(1/2))/4) - e^5*((3*B*a^3*(-a^3*c)^(1/2))/4 - (C*a^5)/2 + A*a^4*c) + (A*c^3*d^5*(-a^3*c)^(1/2))/4 + (C*a*c^2*d^5*(-a^3*c)^(1/2))/4))/(a^7*e^8 + a^3*c^4*d^8 + 4*a^6*c*d^2*e^6 + 4*a^4*c^3*d^6*e^2 + 6*a^5*c^2*d^4*e^4) - ((A*a^2*e^5 + B*c^2*d^5 + B*a^2*d*e^4 - 3*A*c^2*d^4*e - 4*C*a^2*d^2*e^3 + 8*C*a*c*d^4*e + 10*A*a*c*d^2*e^3 - 10*B*a*c*d^3*e^2)/(2*(a*e^2 + c*d^2)*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) + (x^3*(3*B*a^2*c*e^5 - A*c^3*d^3*e^2 - 9*B*a*c^2*d^2*e^3 + 5*C*a*c^2*d^3*e^2 + 11*A*a*c^2*d*e^4 - 7*C*a^2*c*d*e^4))/(2*a*(a^3*e^6 + c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4)) - (x*(A*c^3*d^5 - 2*B*a^3*e^5 - C*a*c^2*d^5 + 6*C*a^3*d*e^4 + 3*A*a*c^2*d^3*e^2 + 11*B*a^2*c*d^2*e^3 - 7*C*a^2*c*d^3*e^2 - 10*A*a^2*c*d*e^4 + B*a*c^2*d^4*e))/(2*a*(a*e^2 + c*d^2)*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) - (x^2*(C*a^3*e^5 - 2*A*a^2*c*e^5 + 2*A*c^3*d^4*e - 12*A*a*c^2*d^2*e^3 + 12*B*a*c^2*d^3*e^2 + 6*C*a^2*c*d^2*e^3 - 7*C*a*c^2*d^4*e))/(2*a*(a*e^2 + c*d^2)*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)))/(a*d^2 + x^2*(a*e^2 + c*d^2) + c*e^2*x^4 + 2*a*d*e*x + 2*c*d*e*x^3) + (log(d + e*x)*(c^2*(10*A*d^2*e^3 - 6*B*d^3*e^2 + 3*C*d^4*e) - c*(2*A*a*e^5 - 6*B*a*d*e^4 + 8*C*a*d^2*e^3) + C*a^2*e^5))/(a^4*e^8 + c^4*d^8 + 4*a*c^3*d^6*e^2 + 4*a^3*c*d^2*e^6 + 6*a^2*c^2*d^4*e^4)","B"
57,1,920,209,1.766895,"\text{Not used}","int(((d + e*x)^3*(A + B*x + C*x^2))/(a + c*x^2)^3,x)","\frac{5\,A\,d^3\,x}{8\,\left(a^3+2\,a^2\,c\,x^2+a\,c^2\,x^4\right)}-\frac{B\,d^3}{4\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}+\frac{3\,C\,a^2\,e^3}{4\,\left(a^2\,c^3+2\,a\,c^4\,x^2+c^5\,x^4\right)}-\frac{3\,A\,d^2\,e}{4\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}+\frac{C\,d^3\,x^3}{8\,\left(a^3+2\,a^2\,c\,x^2+a\,c^2\,x^4\right)}-\frac{C\,d^3\,x}{8\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}-\frac{A\,a\,e^3}{4\,\left(a^2\,c^2+2\,a\,c^3\,x^2+c^4\,x^4\right)}-\frac{A\,e^3\,x^2}{2\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}-\frac{5\,B\,e^3\,x^3}{8\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}+\frac{C\,e^3\,\ln\left(c\,x^2+a\right)}{2\,c^3}-\frac{3\,B\,a\,d\,e^2}{4\,\left(a^2\,c^2+2\,a\,c^3\,x^2+c^4\,x^4\right)}-\frac{3\,C\,a\,d^2\,e}{4\,\left(a^2\,c^2+2\,a\,c^3\,x^2+c^4\,x^4\right)}+\frac{3\,A\,c\,d^3\,x^3}{8\,\left(a^4+2\,a^3\,c\,x^2+a^2\,c^2\,x^4\right)}-\frac{3\,B\,a\,e^3\,x}{8\,\left(a^2\,c^2+2\,a\,c^3\,x^2+c^4\,x^4\right)}-\frac{3\,B\,d\,e^2\,x^2}{2\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}-\frac{3\,C\,d^2\,e\,x^2}{2\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}-\frac{15\,C\,d\,e^2\,x^3}{8\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}+\frac{C\,a\,e^3\,x^2}{a^2\,c^2+2\,a\,c^3\,x^2+c^4\,x^4}+\frac{3\,A\,d^3\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{8\,a^{5/2}\,\sqrt{c}}+\frac{3\,B\,e^3\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{8\,\sqrt{a}\,c^{5/2}}+\frac{C\,d^3\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{8\,a^{3/2}\,c^{3/2}}+\frac{3\,A\,d\,e^2\,x^3}{8\,\left(a^3+2\,a^2\,c\,x^2+a\,c^2\,x^4\right)}+\frac{3\,B\,d^2\,e\,x^3}{8\,\left(a^3+2\,a^2\,c\,x^2+a\,c^2\,x^4\right)}-\frac{3\,A\,d\,e^2\,x}{8\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}-\frac{3\,B\,d^2\,e\,x}{8\,\left(a^2\,c+2\,a\,c^2\,x^2+c^3\,x^4\right)}+\frac{3\,A\,d\,e^2\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{8\,a^{3/2}\,c^{3/2}}+\frac{3\,B\,d^2\,e\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{8\,a^{3/2}\,c^{3/2}}+\frac{9\,C\,d\,e^2\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{8\,\sqrt{a}\,c^{5/2}}-\frac{9\,C\,a\,d\,e^2\,x}{8\,\left(a^2\,c^2+2\,a\,c^3\,x^2+c^4\,x^4\right)}","Not used",1,"(5*A*d^3*x)/(8*(a^3 + 2*a^2*c*x^2 + a*c^2*x^4)) - (B*d^3)/(4*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) + (3*C*a^2*e^3)/(4*(a^2*c^3 + c^5*x^4 + 2*a*c^4*x^2)) - (3*A*d^2*e)/(4*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) + (C*d^3*x^3)/(8*(a^3 + 2*a^2*c*x^2 + a*c^2*x^4)) - (C*d^3*x)/(8*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) - (A*a*e^3)/(4*(a^2*c^2 + c^4*x^4 + 2*a*c^3*x^2)) - (A*e^3*x^2)/(2*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) - (5*B*e^3*x^3)/(8*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) + (C*e^3*log(a + c*x^2))/(2*c^3) - (3*B*a*d*e^2)/(4*(a^2*c^2 + c^4*x^4 + 2*a*c^3*x^2)) - (3*C*a*d^2*e)/(4*(a^2*c^2 + c^4*x^4 + 2*a*c^3*x^2)) + (3*A*c*d^3*x^3)/(8*(a^4 + 2*a^3*c*x^2 + a^2*c^2*x^4)) - (3*B*a*e^3*x)/(8*(a^2*c^2 + c^4*x^4 + 2*a*c^3*x^2)) - (3*B*d*e^2*x^2)/(2*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) - (3*C*d^2*e*x^2)/(2*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) - (15*C*d*e^2*x^3)/(8*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) + (C*a*e^3*x^2)/(a^2*c^2 + c^4*x^4 + 2*a*c^3*x^2) + (3*A*d^3*atan((c^(1/2)*x)/a^(1/2)))/(8*a^(5/2)*c^(1/2)) + (3*B*e^3*atan((c^(1/2)*x)/a^(1/2)))/(8*a^(1/2)*c^(5/2)) + (C*d^3*atan((c^(1/2)*x)/a^(1/2)))/(8*a^(3/2)*c^(3/2)) + (3*A*d*e^2*x^3)/(8*(a^3 + 2*a^2*c*x^2 + a*c^2*x^4)) + (3*B*d^2*e*x^3)/(8*(a^3 + 2*a^2*c*x^2 + a*c^2*x^4)) - (3*A*d*e^2*x)/(8*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) - (3*B*d^2*e*x)/(8*(a^2*c + c^3*x^4 + 2*a*c^2*x^2)) + (3*A*d*e^2*atan((c^(1/2)*x)/a^(1/2)))/(8*a^(3/2)*c^(3/2)) + (3*B*d^2*e*atan((c^(1/2)*x)/a^(1/2)))/(8*a^(3/2)*c^(3/2)) + (9*C*d*e^2*atan((c^(1/2)*x)/a^(1/2)))/(8*a^(1/2)*c^(5/2)) - (9*C*a*d*e^2*x)/(8*(a^2*c^2 + c^4*x^4 + 2*a*c^3*x^2))","B"
58,1,230,156,3.959453,"\text{Not used}","int(((d + e*x)^2*(A + B*x + C*x^2))/(a + c*x^2)^3,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(3\,C\,a^2\,e^2+C\,a\,c\,d^2+2\,B\,a\,c\,d\,e+A\,a\,c\,e^2+3\,A\,c^2\,d^2\right)}{8\,a^{5/2}\,c^{5/2}}-\frac{\frac{B\,a\,e^2+B\,c\,d^2+2\,A\,c\,d\,e+2\,C\,a\,d\,e}{4\,c^2}+\frac{x^2\,\left(B\,e^2+2\,C\,d\,e\right)}{2\,c}+\frac{x\,\left(3\,C\,a^2\,e^2+C\,a\,c\,d^2+2\,B\,a\,c\,d\,e+A\,a\,c\,e^2-5\,A\,c^2\,d^2\right)}{8\,a\,c^2}-\frac{x^3\,\left(-5\,C\,a^2\,e^2+C\,a\,c\,d^2+2\,B\,a\,c\,d\,e+A\,a\,c\,e^2+3\,A\,c^2\,d^2\right)}{8\,a^2\,c}}{a^2+2\,a\,c\,x^2+c^2\,x^4}","Not used",1,"(atan((c^(1/2)*x)/a^(1/2))*(3*A*c^2*d^2 + 3*C*a^2*e^2 + A*a*c*e^2 + C*a*c*d^2 + 2*B*a*c*d*e))/(8*a^(5/2)*c^(5/2)) - ((B*a*e^2 + B*c*d^2 + 2*A*c*d*e + 2*C*a*d*e)/(4*c^2) + (x^2*(B*e^2 + 2*C*d*e))/(2*c) + (x*(3*C*a^2*e^2 - 5*A*c^2*d^2 + A*a*c*e^2 + C*a*c*d^2 + 2*B*a*c*d*e))/(8*a*c^2) - (x^3*(3*A*c^2*d^2 - 5*C*a^2*e^2 + A*a*c*e^2 + C*a*c*d^2 + 2*B*a*c*d*e))/(8*a^2*c))/(a^2 + c^2*x^4 + 2*a*c*x^2)","B"
59,1,128,130,0.150022,"\text{Not used}","int(((d + e*x)*(A + B*x + C*x^2))/(a + c*x^2)^3,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(3\,A\,c\,d+B\,a\,e+C\,a\,d\right)}{8\,a^{5/2}\,c^{3/2}}-\frac{\frac{A\,c\,e+B\,c\,d+C\,a\,e}{4\,c^2}-\frac{x^3\,\left(3\,A\,c\,d+B\,a\,e+C\,a\,d\right)}{8\,a^2}+\frac{C\,e\,x^2}{2\,c}+\frac{x\,\left(B\,a\,e-5\,A\,c\,d+C\,a\,d\right)}{8\,a\,c}}{a^2+2\,a\,c\,x^2+c^2\,x^4}","Not used",1,"(atan((c^(1/2)*x)/a^(1/2))*(3*A*c*d + B*a*e + C*a*d))/(8*a^(5/2)*c^(3/2)) - ((A*c*e + B*c*d + C*a*e)/(4*c^2) - (x^3*(3*A*c*d + B*a*e + C*a*d))/(8*a^2) + (C*e*x^2)/(2*c) + (x*(B*a*e - 5*A*c*d + C*a*d))/(8*a*c))/(a^2 + c^2*x^4 + 2*a*c*x^2)","B"
60,1,88,98,3.842612,"\text{Not used}","int((A + B*x + C*x^2)/(a + c*x^2)^3,x)","\frac{\frac{x^3\,\left(3\,A\,c+C\,a\right)}{8\,a^2}-\frac{B}{4\,c}+\frac{x\,\left(5\,A\,c-C\,a\right)}{8\,a\,c}}{a^2+2\,a\,c\,x^2+c^2\,x^4}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(3\,A\,c+C\,a\right)}{8\,a^{5/2}\,c^{3/2}}","Not used",1,"((x^3*(3*A*c + C*a))/(8*a^2) - B/(4*c) + (x*(5*A*c - C*a))/(8*a*c))/(a^2 + c^2*x^4 + 2*a*c*x^2) + (atan((c^(1/2)*x)/a^(1/2))*(3*A*c + C*a))/(8*a^(5/2)*c^(3/2))","B"
61,1,2392,353,9.900065,"\text{Not used}","int((A + B*x + C*x^2)/((a + c*x^2)^3*(d + e*x)),x)","\frac{\frac{x^2\,\left(C\,c\,d^2\,e-B\,c\,d\,e^2+A\,c\,e^3\right)}{2\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}-\frac{C\,a^2\,e^3-C\,a\,c\,d^2\,e+3\,B\,a\,c\,d\,e^2-3\,A\,a\,c\,e^3+B\,c^2\,d^3-A\,c^2\,d^2\,e}{4\,c\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}+\frac{x\,\left(-5\,C\,a^2\,d\,e^2+5\,B\,a^2\,e^3-C\,a\,c\,d^3+B\,a\,c\,d^2\,e+9\,A\,a\,c\,d\,e^2+5\,A\,c^2\,d^3\right)}{8\,a\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}+\frac{x^3\,\left(-3\,C\,a^2\,c\,d\,e^2+3\,B\,a^2\,c\,e^3+C\,a\,c^2\,d^3-B\,a\,c^2\,d^2\,e+7\,A\,a\,c^2\,d\,e^2+3\,A\,c^3\,d^3\right)}{8\,a^2\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}}{a^2+2\,a\,c\,x^2+c^2\,x^4}-\frac{\ln\left(3\,A\,c^4\,d^7\,\sqrt{-a^5\,c}-3\,B\,a^4\,e^7\,\sqrt{-a^5\,c}-24\,A\,a^6\,c\,e^7+3\,B\,a^6\,c\,e^7\,x+6\,A\,a^3\,c^4\,d^6\,e+2\,C\,a^4\,c^3\,d^6\,e-30\,C\,a^6\,c\,d^2\,e^5-3\,A\,a^2\,c^5\,d^7\,x-C\,a^3\,c^4\,d^7\,x+C\,a\,c^3\,d^7\,\sqrt{-a^5\,c}+3\,C\,a^4\,d\,e^6\,\sqrt{-a^5\,c}+20\,A\,a^4\,c^3\,d^4\,e^3+54\,A\,a^5\,c^2\,d^2\,e^5-2\,B\,a^4\,c^3\,d^5\,e^2-36\,B\,a^5\,c^2\,d^3\,e^4+36\,C\,a^5\,c^2\,d^4\,e^3+30\,B\,a^6\,c\,d\,e^6-7\,A\,a^3\,c^4\,d^5\,e^2\,x-5\,A\,a^4\,c^3\,d^3\,e^4\,x+5\,B\,a^4\,c^3\,d^4\,e^3\,x-57\,B\,a^5\,c^2\,d^2\,e^5\,x-5\,C\,a^4\,c^3\,d^5\,e^2\,x+57\,C\,a^5\,c^2\,d^3\,e^4\,x+7\,A\,a\,c^3\,d^5\,e^2\,\sqrt{-a^5\,c}+57\,B\,a^3\,c\,d^2\,e^5\,\sqrt{-a^5\,c}-57\,C\,a^3\,c\,d^3\,e^4\,\sqrt{-a^5\,c}-3\,C\,a^6\,c\,d\,e^6\,x+5\,A\,a^2\,c^2\,d^3\,e^4\,\sqrt{-a^5\,c}-5\,B\,a^2\,c^2\,d^4\,e^3\,\sqrt{-a^5\,c}+5\,C\,a^2\,c^2\,d^5\,e^2\,\sqrt{-a^5\,c}+63\,A\,a^5\,c^2\,d\,e^6\,x+B\,a^3\,c^4\,d^6\,e\,x-63\,A\,a^3\,c\,d\,e^6\,\sqrt{-a^5\,c}-B\,a\,c^3\,d^6\,e\,\sqrt{-a^5\,c}-24\,A\,a^3\,c\,e^7\,x\,\sqrt{-a^5\,c}+6\,A\,c^4\,d^6\,e\,x\,\sqrt{-a^5\,c}+54\,A\,a^2\,c^2\,d^2\,e^5\,x\,\sqrt{-a^5\,c}-36\,B\,a^2\,c^2\,d^3\,e^4\,x\,\sqrt{-a^5\,c}+36\,C\,a^2\,c^2\,d^4\,e^3\,x\,\sqrt{-a^5\,c}+30\,B\,a^3\,c\,d\,e^6\,x\,\sqrt{-a^5\,c}+2\,C\,a\,c^3\,d^6\,e\,x\,\sqrt{-a^5\,c}+20\,A\,a\,c^3\,d^4\,e^3\,x\,\sqrt{-a^5\,c}-2\,B\,a\,c^3\,d^5\,e^2\,x\,\sqrt{-a^5\,c}-30\,C\,a^3\,c\,d^2\,e^5\,x\,\sqrt{-a^5\,c}\right)\,\left(c\,\left(a^2\,\left(\frac{3\,C\,d^3\,e^2\,\sqrt{-a^5\,c}}{8}-\frac{3\,B\,d^2\,e^3\,\sqrt{-a^5\,c}}{8}+\frac{15\,A\,d\,e^4\,\sqrt{-a^5\,c}}{16}\right)+a^5\,\left(\frac{C\,d^2\,e^3}{2}-\frac{B\,d\,e^4}{2}+\frac{A\,e^5}{2}\right)\right)+a^3\,\left(\frac{3\,B\,e^5\,\sqrt{-a^5\,c}}{16}-\frac{3\,C\,d\,e^4\,\sqrt{-a^5\,c}}{16}\right)+a\,c^2\,\left(\frac{C\,d^5\,\sqrt{-a^5\,c}}{16}+\frac{5\,A\,d^3\,e^2\,\sqrt{-a^5\,c}}{8}-\frac{B\,d^4\,e\,\sqrt{-a^5\,c}}{16}\right)+\frac{3\,A\,c^3\,d^5\,\sqrt{-a^5\,c}}{16}\right)}{a^8\,c\,e^6+3\,a^7\,c^2\,d^2\,e^4+3\,a^6\,c^3\,d^4\,e^2+a^5\,c^4\,d^6}+\frac{\ln\left(3\,A\,c^4\,d^7\,\sqrt{-a^5\,c}-3\,B\,a^4\,e^7\,\sqrt{-a^5\,c}+24\,A\,a^6\,c\,e^7-3\,B\,a^6\,c\,e^7\,x-6\,A\,a^3\,c^4\,d^6\,e-2\,C\,a^4\,c^3\,d^6\,e+30\,C\,a^6\,c\,d^2\,e^5+3\,A\,a^2\,c^5\,d^7\,x+C\,a^3\,c^4\,d^7\,x+C\,a\,c^3\,d^7\,\sqrt{-a^5\,c}+3\,C\,a^4\,d\,e^6\,\sqrt{-a^5\,c}-20\,A\,a^4\,c^3\,d^4\,e^3-54\,A\,a^5\,c^2\,d^2\,e^5+2\,B\,a^4\,c^3\,d^5\,e^2+36\,B\,a^5\,c^2\,d^3\,e^4-36\,C\,a^5\,c^2\,d^4\,e^3-30\,B\,a^6\,c\,d\,e^6+7\,A\,a^3\,c^4\,d^5\,e^2\,x+5\,A\,a^4\,c^3\,d^3\,e^4\,x-5\,B\,a^4\,c^3\,d^4\,e^3\,x+57\,B\,a^5\,c^2\,d^2\,e^5\,x+5\,C\,a^4\,c^3\,d^5\,e^2\,x-57\,C\,a^5\,c^2\,d^3\,e^4\,x+7\,A\,a\,c^3\,d^5\,e^2\,\sqrt{-a^5\,c}+57\,B\,a^3\,c\,d^2\,e^5\,\sqrt{-a^5\,c}-57\,C\,a^3\,c\,d^3\,e^4\,\sqrt{-a^5\,c}+3\,C\,a^6\,c\,d\,e^6\,x+5\,A\,a^2\,c^2\,d^3\,e^4\,\sqrt{-a^5\,c}-5\,B\,a^2\,c^2\,d^4\,e^3\,\sqrt{-a^5\,c}+5\,C\,a^2\,c^2\,d^5\,e^2\,\sqrt{-a^5\,c}-63\,A\,a^5\,c^2\,d\,e^6\,x-B\,a^3\,c^4\,d^6\,e\,x-63\,A\,a^3\,c\,d\,e^6\,\sqrt{-a^5\,c}-B\,a\,c^3\,d^6\,e\,\sqrt{-a^5\,c}-24\,A\,a^3\,c\,e^7\,x\,\sqrt{-a^5\,c}+6\,A\,c^4\,d^6\,e\,x\,\sqrt{-a^5\,c}+54\,A\,a^2\,c^2\,d^2\,e^5\,x\,\sqrt{-a^5\,c}-36\,B\,a^2\,c^2\,d^3\,e^4\,x\,\sqrt{-a^5\,c}+36\,C\,a^2\,c^2\,d^4\,e^3\,x\,\sqrt{-a^5\,c}+30\,B\,a^3\,c\,d\,e^6\,x\,\sqrt{-a^5\,c}+2\,C\,a\,c^3\,d^6\,e\,x\,\sqrt{-a^5\,c}+20\,A\,a\,c^3\,d^4\,e^3\,x\,\sqrt{-a^5\,c}-2\,B\,a\,c^3\,d^5\,e^2\,x\,\sqrt{-a^5\,c}-30\,C\,a^3\,c\,d^2\,e^5\,x\,\sqrt{-a^5\,c}\right)\,\left(c\,\left(a^2\,\left(\frac{3\,C\,d^3\,e^2\,\sqrt{-a^5\,c}}{8}-\frac{3\,B\,d^2\,e^3\,\sqrt{-a^5\,c}}{8}+\frac{15\,A\,d\,e^4\,\sqrt{-a^5\,c}}{16}\right)-a^5\,\left(\frac{C\,d^2\,e^3}{2}-\frac{B\,d\,e^4}{2}+\frac{A\,e^5}{2}\right)\right)+a^3\,\left(\frac{3\,B\,e^5\,\sqrt{-a^5\,c}}{16}-\frac{3\,C\,d\,e^4\,\sqrt{-a^5\,c}}{16}\right)+a\,c^2\,\left(\frac{C\,d^5\,\sqrt{-a^5\,c}}{16}+\frac{5\,A\,d^3\,e^2\,\sqrt{-a^5\,c}}{8}-\frac{B\,d^4\,e\,\sqrt{-a^5\,c}}{16}\right)+\frac{3\,A\,c^3\,d^5\,\sqrt{-a^5\,c}}{16}\right)}{a^8\,c\,e^6+3\,a^7\,c^2\,d^2\,e^4+3\,a^6\,c^3\,d^4\,e^2+a^5\,c^4\,d^6}+\frac{e^3\,\ln\left(d+e\,x\right)\,\left(C\,d^2-B\,d\,e+A\,e^2\right)}{{\left(c\,d^2+a\,e^2\right)}^3}","Not used",1,"((x^2*(A*c*e^3 - B*c*d*e^2 + C*c*d^2*e))/(2*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) - (B*c^2*d^3 + C*a^2*e^3 - 3*A*a*c*e^3 - A*c^2*d^2*e + 3*B*a*c*d*e^2 - C*a*c*d^2*e)/(4*c*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) + (x*(5*A*c^2*d^3 + 5*B*a^2*e^3 - C*a*c*d^3 - 5*C*a^2*d*e^2 + 9*A*a*c*d*e^2 + B*a*c*d^2*e))/(8*a*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) + (x^3*(3*A*c^3*d^3 + 3*B*a^2*c*e^3 + C*a*c^2*d^3 + 7*A*a*c^2*d*e^2 - B*a*c^2*d^2*e - 3*C*a^2*c*d*e^2))/(8*a^2*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)))/(a^2 + c^2*x^4 + 2*a*c*x^2) - (log(3*A*c^4*d^7*(-a^5*c)^(1/2) - 3*B*a^4*e^7*(-a^5*c)^(1/2) - 24*A*a^6*c*e^7 + 3*B*a^6*c*e^7*x + 6*A*a^3*c^4*d^6*e + 2*C*a^4*c^3*d^6*e - 30*C*a^6*c*d^2*e^5 - 3*A*a^2*c^5*d^7*x - C*a^3*c^4*d^7*x + C*a*c^3*d^7*(-a^5*c)^(1/2) + 3*C*a^4*d*e^6*(-a^5*c)^(1/2) + 20*A*a^4*c^3*d^4*e^3 + 54*A*a^5*c^2*d^2*e^5 - 2*B*a^4*c^3*d^5*e^2 - 36*B*a^5*c^2*d^3*e^4 + 36*C*a^5*c^2*d^4*e^3 + 30*B*a^6*c*d*e^6 - 7*A*a^3*c^4*d^5*e^2*x - 5*A*a^4*c^3*d^3*e^4*x + 5*B*a^4*c^3*d^4*e^3*x - 57*B*a^5*c^2*d^2*e^5*x - 5*C*a^4*c^3*d^5*e^2*x + 57*C*a^5*c^2*d^3*e^4*x + 7*A*a*c^3*d^5*e^2*(-a^5*c)^(1/2) + 57*B*a^3*c*d^2*e^5*(-a^5*c)^(1/2) - 57*C*a^3*c*d^3*e^4*(-a^5*c)^(1/2) - 3*C*a^6*c*d*e^6*x + 5*A*a^2*c^2*d^3*e^4*(-a^5*c)^(1/2) - 5*B*a^2*c^2*d^4*e^3*(-a^5*c)^(1/2) + 5*C*a^2*c^2*d^5*e^2*(-a^5*c)^(1/2) + 63*A*a^5*c^2*d*e^6*x + B*a^3*c^4*d^6*e*x - 63*A*a^3*c*d*e^6*(-a^5*c)^(1/2) - B*a*c^3*d^6*e*(-a^5*c)^(1/2) - 24*A*a^3*c*e^7*x*(-a^5*c)^(1/2) + 6*A*c^4*d^6*e*x*(-a^5*c)^(1/2) + 54*A*a^2*c^2*d^2*e^5*x*(-a^5*c)^(1/2) - 36*B*a^2*c^2*d^3*e^4*x*(-a^5*c)^(1/2) + 36*C*a^2*c^2*d^4*e^3*x*(-a^5*c)^(1/2) + 30*B*a^3*c*d*e^6*x*(-a^5*c)^(1/2) + 2*C*a*c^3*d^6*e*x*(-a^5*c)^(1/2) + 20*A*a*c^3*d^4*e^3*x*(-a^5*c)^(1/2) - 2*B*a*c^3*d^5*e^2*x*(-a^5*c)^(1/2) - 30*C*a^3*c*d^2*e^5*x*(-a^5*c)^(1/2))*(c*(a^2*((3*C*d^3*e^2*(-a^5*c)^(1/2))/8 - (3*B*d^2*e^3*(-a^5*c)^(1/2))/8 + (15*A*d*e^4*(-a^5*c)^(1/2))/16) + a^5*((A*e^5)/2 + (C*d^2*e^3)/2 - (B*d*e^4)/2)) + a^3*((3*B*e^5*(-a^5*c)^(1/2))/16 - (3*C*d*e^4*(-a^5*c)^(1/2))/16) + a*c^2*((C*d^5*(-a^5*c)^(1/2))/16 + (5*A*d^3*e^2*(-a^5*c)^(1/2))/8 - (B*d^4*e*(-a^5*c)^(1/2))/16) + (3*A*c^3*d^5*(-a^5*c)^(1/2))/16))/(a^8*c*e^6 + a^5*c^4*d^6 + 3*a^6*c^3*d^4*e^2 + 3*a^7*c^2*d^2*e^4) + (log(3*A*c^4*d^7*(-a^5*c)^(1/2) - 3*B*a^4*e^7*(-a^5*c)^(1/2) + 24*A*a^6*c*e^7 - 3*B*a^6*c*e^7*x - 6*A*a^3*c^4*d^6*e - 2*C*a^4*c^3*d^6*e + 30*C*a^6*c*d^2*e^5 + 3*A*a^2*c^5*d^7*x + C*a^3*c^4*d^7*x + C*a*c^3*d^7*(-a^5*c)^(1/2) + 3*C*a^4*d*e^6*(-a^5*c)^(1/2) - 20*A*a^4*c^3*d^4*e^3 - 54*A*a^5*c^2*d^2*e^5 + 2*B*a^4*c^3*d^5*e^2 + 36*B*a^5*c^2*d^3*e^4 - 36*C*a^5*c^2*d^4*e^3 - 30*B*a^6*c*d*e^6 + 7*A*a^3*c^4*d^5*e^2*x + 5*A*a^4*c^3*d^3*e^4*x - 5*B*a^4*c^3*d^4*e^3*x + 57*B*a^5*c^2*d^2*e^5*x + 5*C*a^4*c^3*d^5*e^2*x - 57*C*a^5*c^2*d^3*e^4*x + 7*A*a*c^3*d^5*e^2*(-a^5*c)^(1/2) + 57*B*a^3*c*d^2*e^5*(-a^5*c)^(1/2) - 57*C*a^3*c*d^3*e^4*(-a^5*c)^(1/2) + 3*C*a^6*c*d*e^6*x + 5*A*a^2*c^2*d^3*e^4*(-a^5*c)^(1/2) - 5*B*a^2*c^2*d^4*e^3*(-a^5*c)^(1/2) + 5*C*a^2*c^2*d^5*e^2*(-a^5*c)^(1/2) - 63*A*a^5*c^2*d*e^6*x - B*a^3*c^4*d^6*e*x - 63*A*a^3*c*d*e^6*(-a^5*c)^(1/2) - B*a*c^3*d^6*e*(-a^5*c)^(1/2) - 24*A*a^3*c*e^7*x*(-a^5*c)^(1/2) + 6*A*c^4*d^6*e*x*(-a^5*c)^(1/2) + 54*A*a^2*c^2*d^2*e^5*x*(-a^5*c)^(1/2) - 36*B*a^2*c^2*d^3*e^4*x*(-a^5*c)^(1/2) + 36*C*a^2*c^2*d^4*e^3*x*(-a^5*c)^(1/2) + 30*B*a^3*c*d*e^6*x*(-a^5*c)^(1/2) + 2*C*a*c^3*d^6*e*x*(-a^5*c)^(1/2) + 20*A*a*c^3*d^4*e^3*x*(-a^5*c)^(1/2) - 2*B*a*c^3*d^5*e^2*x*(-a^5*c)^(1/2) - 30*C*a^3*c*d^2*e^5*x*(-a^5*c)^(1/2))*(c*(a^2*((3*C*d^3*e^2*(-a^5*c)^(1/2))/8 - (3*B*d^2*e^3*(-a^5*c)^(1/2))/8 + (15*A*d*e^4*(-a^5*c)^(1/2))/16) - a^5*((A*e^5)/2 + (C*d^2*e^3)/2 - (B*d*e^4)/2)) + a^3*((3*B*e^5*(-a^5*c)^(1/2))/16 - (3*C*d*e^4*(-a^5*c)^(1/2))/16) + a*c^2*((C*d^5*(-a^5*c)^(1/2))/16 + (5*A*d^3*e^2*(-a^5*c)^(1/2))/8 - (B*d^4*e*(-a^5*c)^(1/2))/16) + (3*A*c^3*d^5*(-a^5*c)^(1/2))/16))/(a^8*c*e^6 + a^5*c^4*d^6 + 3*a^6*c^3*d^4*e^2 + 3*a^7*c^2*d^2*e^4) + (e^3*log(d + e*x)*(A*e^2 + C*d^2 - B*d*e))/(a*e^2 + c*d^2)^3","B"
62,1,6848,571,6.656595,"\text{Not used}","int((A + B*x + C*x^2)/((a + c*x^2)^3*(d + e*x)^2),x)","\left(\sum _{k=1}^3\ln\left(\mathrm{root}\left(17920\,a^9\,c^5\,d^8\,e^8\,z^3+14336\,a^{10}\,c^4\,d^6\,e^{10}\,z^3+14336\,a^8\,c^6\,d^{10}\,e^6\,z^3+7168\,a^{11}\,c^3\,d^4\,e^{12}\,z^3+7168\,a^7\,c^7\,d^{12}\,e^4\,z^3+2048\,a^{12}\,c^2\,d^2\,e^{14}\,z^3+2048\,a^6\,c^8\,d^{14}\,e^2\,z^3+256\,a^5\,c^9\,d^{16}\,z^3+256\,a^{13}\,c\,e^{16}\,z^3+948\,B\,C\,a^7\,c\,d\,e^{11}\,z-12\,A\,B\,a\,c^7\,d^{11}\,e\,z+9768\,B\,C\,a^5\,c^3\,d^5\,e^7\,z-7476\,B\,C\,a^6\,c^2\,d^3\,e^9\,z-328\,B\,C\,a^4\,c^4\,d^7\,e^5\,z-92\,B\,C\,a^3\,c^5\,d^9\,e^3\,z-12486\,A\,C\,a^5\,c^3\,d^4\,e^8\,z+5868\,A\,C\,a^6\,c^2\,d^2\,e^{10}\,z+282\,A\,C\,a^3\,c^5\,d^8\,e^4\,z+168\,A\,C\,a^4\,c^4\,d^6\,e^6\,z+108\,A\,C\,a^2\,c^6\,d^{10}\,e^2\,z+14820\,A\,B\,a^5\,c^3\,d^3\,e^9\,z-840\,A\,B\,a^4\,c^4\,d^5\,e^7\,z-600\,A\,B\,a^3\,c^5\,d^7\,e^5\,z-180\,A\,B\,a^2\,c^6\,d^9\,e^3\,z-4\,B\,C\,a^2\,c^6\,d^{11}\,e\,z-3204\,A\,B\,a^6\,c^2\,d\,e^{11}\,z+4239\,C^2\,a^6\,c^2\,d^4\,e^8\,z-3924\,C^2\,a^5\,c^3\,d^6\,e^6\,z+103\,C^2\,a^4\,c^4\,d^8\,e^4\,z+26\,C^2\,a^3\,c^5\,d^{10}\,e^2\,z-6000\,B^2\,a^5\,c^3\,d^4\,e^8\,z+2820\,B^2\,a^6\,c^2\,d^2\,e^{10}\,z+280\,B^2\,a^4\,c^4\,d^6\,e^6\,z+80\,B^2\,a^3\,c^5\,d^8\,e^4\,z+4\,B^2\,a^2\,c^6\,d^{10}\,e^2\,z-8262\,A^2\,a^5\,c^3\,d^2\,e^{10}\,z+1575\,A^2\,a^4\,c^4\,d^4\,e^8\,z+1260\,A^2\,a^3\,c^5\,d^6\,e^6\,z+495\,A^2\,a^2\,c^6\,d^8\,e^4\,z-90\,A\,C\,a^7\,c\,e^{12}\,z+6\,A\,C\,a\,c^7\,d^{12}\,z-966\,C^2\,a^7\,c\,d^2\,e^{10}\,z+90\,A^2\,a\,c^7\,d^{10}\,e^2\,z+C^2\,a^2\,c^6\,d^{12}\,z+225\,A^2\,a^6\,c^2\,e^{12}\,z-192\,B^2\,a^7\,c\,e^{12}\,z+9\,A^2\,c^8\,d^{12}\,z+9\,C^2\,a^8\,e^{12}\,z+78\,A\,B\,C\,a\,c^4\,d^6\,e^4+942\,A\,B\,C\,a^2\,c^3\,d^4\,e^6-342\,A\,B\,C\,a^3\,c^2\,d^2\,e^8-129\,B\,C^2\,a^4\,c\,d^2\,e^8+990\,A^2\,C\,a^3\,c^2\,d\,e^9-234\,A^2\,C\,a\,c^4\,d^5\,e^5-24\,A\,C^2\,a\,c^4\,d^7\,e^3+333\,A^2\,B\,a\,c^4\,d^4\,e^6-252\,A\,B^2\,a^3\,c^2\,d\,e^9-60\,A\,B^2\,a\,c^4\,d^5\,e^5+204\,B^2\,C\,a^4\,c\,d\,e^9-234\,A\,C^2\,a^4\,c\,d\,e^9-624\,B^2\,C\,a^3\,c^2\,d^3\,e^7+405\,B\,C^2\,a^3\,c^2\,d^4\,e^6-36\,B^2\,C\,a^2\,c^3\,d^5\,e^5+21\,B\,C^2\,a^2\,c^3\,d^6\,e^4-1296\,A^2\,C\,a^2\,c^3\,d^3\,e^7+396\,A\,C^2\,a^3\,c^2\,d^3\,e^7-330\,A\,C^2\,a^2\,c^3\,d^5\,e^5+1863\,A^2\,B\,a^2\,c^3\,d^2\,e^8-672\,A\,B^2\,a^2\,c^3\,d^3\,e^7+90\,A\,B\,C\,a^4\,c\,e^{10}+8\,C^3\,a^4\,c\,d^3\,e^7-1350\,A^3\,a^2\,c^3\,d\,e^9-324\,A^3\,a\,c^4\,d^3\,e^7-36\,A^2\,C\,c^5\,d^7\,e^3+45\,A^2\,B\,c^5\,d^6\,e^4-225\,A^2\,B\,a^3\,c^2\,e^{10}-86\,C^3\,a^3\,c^2\,d^5\,e^5-4\,C^3\,a^2\,c^3\,d^7\,e^3+316\,B^3\,a^3\,c^2\,d^2\,e^8+20\,B^3\,a^2\,c^3\,d^4\,e^6+18\,C^3\,a^5\,d\,e^9-64\,B^3\,a^4\,c\,e^{10}-9\,B\,C^2\,a^5\,e^{10}-54\,A^3\,c^5\,d^5\,e^5,z,k\right)\,\left(\frac{-24\,C\,a^9\,c\,e^{13}-16\,C\,a^8\,c^2\,d^2\,e^{11}-112\,B\,a^8\,c^2\,d\,e^{12}+120\,A\,a^8\,c^2\,e^{13}+184\,C\,a^7\,c^3\,d^4\,e^9-464\,B\,a^7\,c^3\,d^3\,e^{10}+528\,A\,a^7\,c^3\,d^2\,e^{11}+416\,C\,a^6\,c^4\,d^6\,e^7-736\,B\,a^6\,c^4\,d^5\,e^8+936\,A\,a^6\,c^4\,d^4\,e^9+344\,C\,a^5\,c^5\,d^8\,e^5-544\,B\,a^5\,c^5\,d^7\,e^6+864\,A\,a^5\,c^5\,d^6\,e^7+112\,C\,a^4\,c^6\,d^{10}\,e^3-176\,B\,a^4\,c^6\,d^9\,e^4+456\,A\,a^4\,c^6\,d^8\,e^5+8\,C\,a^3\,c^7\,d^{12}\,e-16\,B\,a^3\,c^7\,d^{11}\,e^2+144\,A\,a^3\,c^7\,d^{10}\,e^3+24\,A\,a^2\,c^8\,d^{12}\,e}{64\,\left(a^{10}\,e^{12}+6\,a^9\,c\,d^2\,e^{10}+15\,a^8\,c^2\,d^4\,e^8+20\,a^7\,c^3\,d^6\,e^6+15\,a^6\,c^4\,d^8\,e^4+6\,a^5\,c^5\,d^{10}\,e^2+a^4\,c^6\,d^{12}\right)}+\mathrm{root}\left(17920\,a^9\,c^5\,d^8\,e^8\,z^3+14336\,a^{10}\,c^4\,d^6\,e^{10}\,z^3+14336\,a^8\,c^6\,d^{10}\,e^6\,z^3+7168\,a^{11}\,c^3\,d^4\,e^{12}\,z^3+7168\,a^7\,c^7\,d^{12}\,e^4\,z^3+2048\,a^{12}\,c^2\,d^2\,e^{14}\,z^3+2048\,a^6\,c^8\,d^{14}\,e^2\,z^3+256\,a^5\,c^9\,d^{16}\,z^3+256\,a^{13}\,c\,e^{16}\,z^3+948\,B\,C\,a^7\,c\,d\,e^{11}\,z-12\,A\,B\,a\,c^7\,d^{11}\,e\,z+9768\,B\,C\,a^5\,c^3\,d^5\,e^7\,z-7476\,B\,C\,a^6\,c^2\,d^3\,e^9\,z-328\,B\,C\,a^4\,c^4\,d^7\,e^5\,z-92\,B\,C\,a^3\,c^5\,d^9\,e^3\,z-12486\,A\,C\,a^5\,c^3\,d^4\,e^8\,z+5868\,A\,C\,a^6\,c^2\,d^2\,e^{10}\,z+282\,A\,C\,a^3\,c^5\,d^8\,e^4\,z+168\,A\,C\,a^4\,c^4\,d^6\,e^6\,z+108\,A\,C\,a^2\,c^6\,d^{10}\,e^2\,z+14820\,A\,B\,a^5\,c^3\,d^3\,e^9\,z-840\,A\,B\,a^4\,c^4\,d^5\,e^7\,z-600\,A\,B\,a^3\,c^5\,d^7\,e^5\,z-180\,A\,B\,a^2\,c^6\,d^9\,e^3\,z-4\,B\,C\,a^2\,c^6\,d^{11}\,e\,z-3204\,A\,B\,a^6\,c^2\,d\,e^{11}\,z+4239\,C^2\,a^6\,c^2\,d^4\,e^8\,z-3924\,C^2\,a^5\,c^3\,d^6\,e^6\,z+103\,C^2\,a^4\,c^4\,d^8\,e^4\,z+26\,C^2\,a^3\,c^5\,d^{10}\,e^2\,z-6000\,B^2\,a^5\,c^3\,d^4\,e^8\,z+2820\,B^2\,a^6\,c^2\,d^2\,e^{10}\,z+280\,B^2\,a^4\,c^4\,d^6\,e^6\,z+80\,B^2\,a^3\,c^5\,d^8\,e^4\,z+4\,B^2\,a^2\,c^6\,d^{10}\,e^2\,z-8262\,A^2\,a^5\,c^3\,d^2\,e^{10}\,z+1575\,A^2\,a^4\,c^4\,d^4\,e^8\,z+1260\,A^2\,a^3\,c^5\,d^6\,e^6\,z+495\,A^2\,a^2\,c^6\,d^8\,e^4\,z-90\,A\,C\,a^7\,c\,e^{12}\,z+6\,A\,C\,a\,c^7\,d^{12}\,z-966\,C^2\,a^7\,c\,d^2\,e^{10}\,z+90\,A^2\,a\,c^7\,d^{10}\,e^2\,z+C^2\,a^2\,c^6\,d^{12}\,z+225\,A^2\,a^6\,c^2\,e^{12}\,z-192\,B^2\,a^7\,c\,e^{12}\,z+9\,A^2\,c^8\,d^{12}\,z+9\,C^2\,a^8\,e^{12}\,z+78\,A\,B\,C\,a\,c^4\,d^6\,e^4+942\,A\,B\,C\,a^2\,c^3\,d^4\,e^6-342\,A\,B\,C\,a^3\,c^2\,d^2\,e^8-129\,B\,C^2\,a^4\,c\,d^2\,e^8+990\,A^2\,C\,a^3\,c^2\,d\,e^9-234\,A^2\,C\,a\,c^4\,d^5\,e^5-24\,A\,C^2\,a\,c^4\,d^7\,e^3+333\,A^2\,B\,a\,c^4\,d^4\,e^6-252\,A\,B^2\,a^3\,c^2\,d\,e^9-60\,A\,B^2\,a\,c^4\,d^5\,e^5+204\,B^2\,C\,a^4\,c\,d\,e^9-234\,A\,C^2\,a^4\,c\,d\,e^9-624\,B^2\,C\,a^3\,c^2\,d^3\,e^7+405\,B\,C^2\,a^3\,c^2\,d^4\,e^6-36\,B^2\,C\,a^2\,c^3\,d^5\,e^5+21\,B\,C^2\,a^2\,c^3\,d^6\,e^4-1296\,A^2\,C\,a^2\,c^3\,d^3\,e^7+396\,A\,C^2\,a^3\,c^2\,d^3\,e^7-330\,A\,C^2\,a^2\,c^3\,d^5\,e^5+1863\,A^2\,B\,a^2\,c^3\,d^2\,e^8-672\,A\,B^2\,a^2\,c^3\,d^3\,e^7+90\,A\,B\,C\,a^4\,c\,e^{10}+8\,C^3\,a^4\,c\,d^3\,e^7-1350\,A^3\,a^2\,c^3\,d\,e^9-324\,A^3\,a\,c^4\,d^3\,e^7-36\,A^2\,C\,c^5\,d^7\,e^3+45\,A^2\,B\,c^5\,d^6\,e^4-225\,A^2\,B\,a^3\,c^2\,e^{10}-86\,C^3\,a^3\,c^2\,d^5\,e^5-4\,C^3\,a^2\,c^3\,d^7\,e^3+316\,B^3\,a^3\,c^2\,d^2\,e^8+20\,B^3\,a^2\,c^3\,d^4\,e^6+18\,C^3\,a^5\,d\,e^9-64\,B^3\,a^4\,c\,e^{10}-9\,B\,C^2\,a^5\,e^{10}-54\,A^3\,c^5\,d^5\,e^5,z,k\right)\,\left(\frac{512\,a^{11}\,c^2\,d\,e^{14}+3072\,a^{10}\,c^3\,d^3\,e^{12}+7680\,a^9\,c^4\,d^5\,e^{10}+10240\,a^8\,c^5\,d^7\,e^8+7680\,a^7\,c^6\,d^9\,e^6+3072\,a^6\,c^7\,d^{11}\,e^4+512\,a^5\,c^8\,d^{13}\,e^2}{64\,\left(a^{10}\,e^{12}+6\,a^9\,c\,d^2\,e^{10}+15\,a^8\,c^2\,d^4\,e^8+20\,a^7\,c^3\,d^6\,e^6+15\,a^6\,c^4\,d^8\,e^4+6\,a^5\,c^5\,d^{10}\,e^2+a^4\,c^6\,d^{12}\right)}+\frac{x\,\left(384\,a^{11}\,c^2\,e^{15}+2176\,a^{10}\,c^3\,d^2\,e^{13}+4992\,a^9\,c^4\,d^4\,e^{11}+5760\,a^8\,c^5\,d^6\,e^9+3200\,a^7\,c^6\,d^8\,e^7+384\,a^6\,c^7\,d^{10}\,e^5-384\,a^5\,c^8\,d^{12}\,e^3-128\,a^4\,c^9\,d^{14}\,e\right)}{64\,\left(a^{10}\,e^{12}+6\,a^9\,c\,d^2\,e^{10}+15\,a^8\,c^2\,d^4\,e^8+20\,a^7\,c^3\,d^6\,e^6+15\,a^6\,c^4\,d^8\,e^4+6\,a^5\,c^5\,d^{10}\,e^2+a^4\,c^6\,d^{12}\right)}\right)+\frac{x\,\left(-336\,C\,a^8\,c^2\,d\,e^{12}+192\,B\,a^8\,c^2\,e^{13}-560\,C\,a^7\,c^3\,d^3\,e^{10}-32\,B\,a^7\,c^3\,d^2\,e^{11}+912\,A\,a^7\,c^3\,d\,e^{12}+352\,C\,a^6\,c^4\,d^5\,e^8-1280\,B\,a^6\,c^4\,d^4\,e^9+2928\,A\,a^6\,c^4\,d^3\,e^{10}+1056\,C\,a^5\,c^5\,d^7\,e^6-1728\,B\,a^5\,c^5\,d^6\,e^7+3360\,A\,a^5\,c^5\,d^5\,e^8+496\,C\,a^4\,c^6\,d^9\,e^4-704\,B\,a^4\,c^6\,d^8\,e^5+1632\,A\,a^4\,c^6\,d^7\,e^6+16\,C\,a^3\,c^7\,d^{11}\,e^2-32\,B\,a^3\,c^7\,d^{10}\,e^3+336\,A\,a^3\,c^7\,d^9\,e^4+48\,A\,a^2\,c^8\,d^{11}\,e^2\right)}{64\,\left(a^{10}\,e^{12}+6\,a^9\,c\,d^2\,e^{10}+15\,a^8\,c^2\,d^4\,e^8+20\,a^7\,c^3\,d^6\,e^6+15\,a^6\,c^4\,d^8\,e^4+6\,a^5\,c^5\,d^{10}\,e^2+a^4\,c^6\,d^{12}\right)}\right)+\frac{-495\,A^2\,a^4\,c^3\,d\,e^{10}+216\,A^2\,a^3\,c^4\,d^3\,e^8+198\,A^2\,a^2\,c^5\,d^5\,e^6+72\,A^2\,a\,c^6\,d^7\,e^4+9\,A^2\,c^7\,d^9\,e^2-120\,A\,B\,a^5\,c^2\,e^{11}+1092\,A\,B\,a^4\,c^3\,d^2\,e^9+36\,A\,B\,a^3\,c^4\,d^4\,e^7-36\,A\,B\,a^2\,c^5\,d^6\,e^5-12\,A\,B\,a\,c^6\,d^8\,e^3+294\,A\,C\,a^5\,c^2\,d\,e^{10}-960\,A\,C\,a^4\,c^3\,d^3\,e^8-108\,A\,C\,a^3\,c^4\,d^5\,e^6+6\,A\,C\,a\,c^6\,d^9\,e^2+176\,B^2\,a^5\,c^2\,d\,e^{10}-412\,B^2\,a^4\,c^3\,d^3\,e^8-8\,B^2\,a^3\,c^4\,d^5\,e^6+4\,B^2\,a^2\,c^5\,d^7\,e^4+24\,B\,C\,a^6\,c\,e^{11}-500\,B\,C\,a^5\,c^2\,d^2\,e^9+652\,B\,C\,a^4\,c^3\,d^4\,e^7+20\,B\,C\,a^3\,c^4\,d^6\,e^5-4\,B\,C\,a^2\,c^5\,d^8\,e^3-39\,C^2\,a^6\,c\,d\,e^{10}+296\,C^2\,a^5\,c^2\,d^3\,e^8-250\,C^2\,a^4\,c^3\,d^5\,e^6-8\,C^2\,a^3\,c^4\,d^7\,e^4+C^2\,a^2\,c^5\,d^9\,e^2}{64\,\left(a^{10}\,e^{12}+6\,a^9\,c\,d^2\,e^{10}+15\,a^8\,c^2\,d^4\,e^8+20\,a^7\,c^3\,d^6\,e^6+15\,a^6\,c^4\,d^8\,e^4+6\,a^5\,c^5\,d^{10}\,e^2+a^4\,c^6\,d^{12}\right)}+\frac{x\,\left(225\,A^2\,a^4\,c^3\,e^{11}-360\,A^2\,a^3\,c^4\,d^2\,e^9+54\,A^2\,a^2\,c^5\,d^4\,e^7+72\,A^2\,a\,c^6\,d^6\,e^5+9\,A^2\,c^7\,d^8\,e^3-660\,A\,B\,a^4\,c^3\,d\,e^{10}+588\,A\,B\,a^3\,c^4\,d^3\,e^8+84\,A\,B\,a^2\,c^5\,d^5\,e^6-12\,A\,B\,a\,c^6\,d^7\,e^4-90\,A\,C\,a^5\,c^2\,e^{11}+672\,A\,C\,a^4\,c^3\,d^2\,e^9-492\,A\,C\,a^3\,c^4\,d^4\,e^7-96\,A\,C\,a^2\,c^5\,d^6\,e^5+6\,A\,C\,a\,c^6\,d^8\,e^3+484\,B^2\,a^4\,c^3\,d^2\,e^9-88\,B^2\,a^3\,c^4\,d^4\,e^7+4\,B^2\,a^2\,c^5\,d^6\,e^5+132\,B\,C\,a^5\,c^2\,d\,e^{10}-892\,B\,C\,a^4\,c^3\,d^3\,e^8+124\,B\,C\,a^3\,c^4\,d^5\,e^6-4\,B\,C\,a^2\,c^5\,d^7\,e^4+9\,C^2\,a^6\,c\,e^{11}-120\,C^2\,a^5\,c^2\,d^2\,e^9+406\,C^2\,a^4\,c^3\,d^4\,e^7-40\,C^2\,a^3\,c^4\,d^6\,e^5+C^2\,a^2\,c^5\,d^8\,e^3\right)}{64\,\left(a^{10}\,e^{12}+6\,a^9\,c\,d^2\,e^{10}+15\,a^8\,c^2\,d^4\,e^8+20\,a^7\,c^3\,d^6\,e^6+15\,a^6\,c^4\,d^8\,e^4+6\,a^5\,c^5\,d^{10}\,e^2+a^4\,c^6\,d^{12}\right)}\right)\,\mathrm{root}\left(17920\,a^9\,c^5\,d^8\,e^8\,z^3+14336\,a^{10}\,c^4\,d^6\,e^{10}\,z^3+14336\,a^8\,c^6\,d^{10}\,e^6\,z^3+7168\,a^{11}\,c^3\,d^4\,e^{12}\,z^3+7168\,a^7\,c^7\,d^{12}\,e^4\,z^3+2048\,a^{12}\,c^2\,d^2\,e^{14}\,z^3+2048\,a^6\,c^8\,d^{14}\,e^2\,z^3+256\,a^5\,c^9\,d^{16}\,z^3+256\,a^{13}\,c\,e^{16}\,z^3+948\,B\,C\,a^7\,c\,d\,e^{11}\,z-12\,A\,B\,a\,c^7\,d^{11}\,e\,z+9768\,B\,C\,a^5\,c^3\,d^5\,e^7\,z-7476\,B\,C\,a^6\,c^2\,d^3\,e^9\,z-328\,B\,C\,a^4\,c^4\,d^7\,e^5\,z-92\,B\,C\,a^3\,c^5\,d^9\,e^3\,z-12486\,A\,C\,a^5\,c^3\,d^4\,e^8\,z+5868\,A\,C\,a^6\,c^2\,d^2\,e^{10}\,z+282\,A\,C\,a^3\,c^5\,d^8\,e^4\,z+168\,A\,C\,a^4\,c^4\,d^6\,e^6\,z+108\,A\,C\,a^2\,c^6\,d^{10}\,e^2\,z+14820\,A\,B\,a^5\,c^3\,d^3\,e^9\,z-840\,A\,B\,a^4\,c^4\,d^5\,e^7\,z-600\,A\,B\,a^3\,c^5\,d^7\,e^5\,z-180\,A\,B\,a^2\,c^6\,d^9\,e^3\,z-4\,B\,C\,a^2\,c^6\,d^{11}\,e\,z-3204\,A\,B\,a^6\,c^2\,d\,e^{11}\,z+4239\,C^2\,a^6\,c^2\,d^4\,e^8\,z-3924\,C^2\,a^5\,c^3\,d^6\,e^6\,z+103\,C^2\,a^4\,c^4\,d^8\,e^4\,z+26\,C^2\,a^3\,c^5\,d^{10}\,e^2\,z-6000\,B^2\,a^5\,c^3\,d^4\,e^8\,z+2820\,B^2\,a^6\,c^2\,d^2\,e^{10}\,z+280\,B^2\,a^4\,c^4\,d^6\,e^6\,z+80\,B^2\,a^3\,c^5\,d^8\,e^4\,z+4\,B^2\,a^2\,c^6\,d^{10}\,e^2\,z-8262\,A^2\,a^5\,c^3\,d^2\,e^{10}\,z+1575\,A^2\,a^4\,c^4\,d^4\,e^8\,z+1260\,A^2\,a^3\,c^5\,d^6\,e^6\,z+495\,A^2\,a^2\,c^6\,d^8\,e^4\,z-90\,A\,C\,a^7\,c\,e^{12}\,z+6\,A\,C\,a\,c^7\,d^{12}\,z-966\,C^2\,a^7\,c\,d^2\,e^{10}\,z+90\,A^2\,a\,c^7\,d^{10}\,e^2\,z+C^2\,a^2\,c^6\,d^{12}\,z+225\,A^2\,a^6\,c^2\,e^{12}\,z-192\,B^2\,a^7\,c\,e^{12}\,z+9\,A^2\,c^8\,d^{12}\,z+9\,C^2\,a^8\,e^{12}\,z+78\,A\,B\,C\,a\,c^4\,d^6\,e^4+942\,A\,B\,C\,a^2\,c^3\,d^4\,e^6-342\,A\,B\,C\,a^3\,c^2\,d^2\,e^8-129\,B\,C^2\,a^4\,c\,d^2\,e^8+990\,A^2\,C\,a^3\,c^2\,d\,e^9-234\,A^2\,C\,a\,c^4\,d^5\,e^5-24\,A\,C^2\,a\,c^4\,d^7\,e^3+333\,A^2\,B\,a\,c^4\,d^4\,e^6-252\,A\,B^2\,a^3\,c^2\,d\,e^9-60\,A\,B^2\,a\,c^4\,d^5\,e^5+204\,B^2\,C\,a^4\,c\,d\,e^9-234\,A\,C^2\,a^4\,c\,d\,e^9-624\,B^2\,C\,a^3\,c^2\,d^3\,e^7+405\,B\,C^2\,a^3\,c^2\,d^4\,e^6-36\,B^2\,C\,a^2\,c^3\,d^5\,e^5+21\,B\,C^2\,a^2\,c^3\,d^6\,e^4-1296\,A^2\,C\,a^2\,c^3\,d^3\,e^7+396\,A\,C^2\,a^3\,c^2\,d^3\,e^7-330\,A\,C^2\,a^2\,c^3\,d^5\,e^5+1863\,A^2\,B\,a^2\,c^3\,d^2\,e^8-672\,A\,B^2\,a^2\,c^3\,d^3\,e^7+90\,A\,B\,C\,a^4\,c\,e^{10}+8\,C^3\,a^4\,c\,d^3\,e^7-1350\,A^3\,a^2\,c^3\,d\,e^9-324\,A^3\,a\,c^4\,d^3\,e^7-36\,A^2\,C\,c^5\,d^7\,e^3+45\,A^2\,B\,c^5\,d^6\,e^4-225\,A^2\,B\,a^3\,c^2\,e^{10}-86\,C^3\,a^3\,c^2\,d^5\,e^5-4\,C^3\,a^2\,c^3\,d^7\,e^3+316\,B^3\,a^3\,c^2\,d^2\,e^8+20\,B^3\,a^2\,c^3\,d^4\,e^6+18\,C^3\,a^5\,d\,e^9-64\,B^3\,a^4\,c\,e^{10}-9\,B\,C^2\,a^5\,e^{10}-54\,A^3\,c^5\,d^5\,e^5,z,k\right)\right)+\frac{\frac{x^4\,\left(3\,C\,a^3\,c\,e^5-20\,C\,a^2\,c^2\,d^2\,e^3+22\,B\,a^2\,c^2\,d\,e^4-15\,A\,a^2\,c^2\,e^5+C\,a\,c^3\,d^4\,e-2\,B\,a\,c^3\,d^3\,e^2+12\,A\,a\,c^3\,d^2\,e^3+3\,A\,c^4\,d^4\,e\right)}{8\,a^2\,\left(a^3\,e^6+3\,a^2\,c\,d^2\,e^4+3\,a\,c^2\,d^4\,e^2+c^3\,d^6\right)}-\frac{10\,C\,a^2\,d^2\,e^3-7\,B\,a^2\,d\,e^4+4\,A\,a^2\,e^5-2\,C\,a\,c\,d^4\,e+6\,B\,a\,c\,d^3\,e^2-10\,A\,a\,c\,d^2\,e^3+B\,c^2\,d^5-2\,A\,c^2\,d^4\,e}{4\,\left(c\,d^2+a\,e^2\right)\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}+\frac{x^3\,\left(-5\,C\,a^2\,c\,d\,e^2+4\,B\,a^2\,c\,e^3+C\,a\,c^2\,d^3-2\,B\,a\,c^2\,d^2\,e+9\,A\,a\,c^2\,d\,e^2+3\,A\,c^3\,d^3\right)}{8\,a^2\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}+\frac{x\,\left(-7\,C\,a^2\,d\,e^2+6\,B\,a^2\,e^3-C\,a\,c\,d^3+11\,A\,a\,c\,d\,e^2+5\,A\,c^2\,d^3\right)}{8\,a\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}+\frac{x^2\,\left(5\,C\,a^3\,e^5-36\,C\,a^2\,c\,d^2\,e^3+38\,B\,a^2\,c\,d\,e^4-25\,A\,a^2\,c\,e^5+7\,C\,a\,c^2\,d^4\,e-10\,B\,a\,c^2\,d^3\,e^2+28\,A\,a\,c^2\,d^2\,e^3+5\,A\,c^3\,d^4\,e\right)}{8\,a\,\left(c\,d^2+a\,e^2\right)\,\left(a^2\,e^4+2\,a\,c\,d^2\,e^2+c^2\,d^4\right)}}{e\,a^2\,x+d\,a^2+2\,e\,a\,c\,x^3+2\,d\,a\,c\,x^2+e\,c^2\,x^5+d\,c^2\,x^4}","Not 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8262*A^2*a^5*c^3*d^2*e^10*z + 1575*A^2*a^4*c^4*d^4*e^8*z + 1260*A^2*a^3*c^5*d^6*e^6*z + 495*A^2*a^2*c^6*d^8*e^4*z - 90*A*C*a^7*c*e^12*z + 6*A*C*a*c^7*d^12*z - 966*C^2*a^7*c*d^2*e^10*z + 90*A^2*a*c^7*d^10*e^2*z + C^2*a^2*c^6*d^12*z + 225*A^2*a^6*c^2*e^12*z - 192*B^2*a^7*c*e^12*z + 9*A^2*c^8*d^12*z + 9*C^2*a^8*e^12*z + 78*A*B*C*a*c^4*d^6*e^4 + 942*A*B*C*a^2*c^3*d^4*e^6 - 342*A*B*C*a^3*c^2*d^2*e^8 - 129*B*C^2*a^4*c*d^2*e^8 + 990*A^2*C*a^3*c^2*d*e^9 - 234*A^2*C*a*c^4*d^5*e^5 - 24*A*C^2*a*c^4*d^7*e^3 + 333*A^2*B*a*c^4*d^4*e^6 - 252*A*B^2*a^3*c^2*d*e^9 - 60*A*B^2*a*c^4*d^5*e^5 + 204*B^2*C*a^4*c*d*e^9 - 234*A*C^2*a^4*c*d*e^9 - 624*B^2*C*a^3*c^2*d^3*e^7 + 405*B*C^2*a^3*c^2*d^4*e^6 - 36*B^2*C*a^2*c^3*d^5*e^5 + 21*B*C^2*a^2*c^3*d^6*e^4 - 1296*A^2*C*a^2*c^3*d^3*e^7 + 396*A*C^2*a^3*c^2*d^3*e^7 - 330*A*C^2*a^2*c^3*d^5*e^5 + 1863*A^2*B*a^2*c^3*d^2*e^8 - 672*A*B^2*a^2*c^3*d^3*e^7 + 90*A*B*C*a^4*c*e^10 + 8*C^3*a^4*c*d^3*e^7 - 1350*A^3*a^2*c^3*d*e^9 - 324*A^3*a*c^4*d^3*e^7 - 36*A^2*C*c^5*d^7*e^3 + 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966*C^2*a^7*c*d^2*e^10*z + 90*A^2*a*c^7*d^10*e^2*z + C^2*a^2*c^6*d^12*z + 225*A^2*a^6*c^2*e^12*z - 192*B^2*a^7*c*e^12*z + 9*A^2*c^8*d^12*z + 9*C^2*a^8*e^12*z + 78*A*B*C*a*c^4*d^6*e^4 + 942*A*B*C*a^2*c^3*d^4*e^6 - 342*A*B*C*a^3*c^2*d^2*e^8 - 129*B*C^2*a^4*c*d^2*e^8 + 990*A^2*C*a^3*c^2*d*e^9 - 234*A^2*C*a*c^4*d^5*e^5 - 24*A*C^2*a*c^4*d^7*e^3 + 333*A^2*B*a*c^4*d^4*e^6 - 252*A*B^2*a^3*c^2*d*e^9 - 60*A*B^2*a*c^4*d^5*e^5 + 204*B^2*C*a^4*c*d*e^9 - 234*A*C^2*a^4*c*d*e^9 - 624*B^2*C*a^3*c^2*d^3*e^7 + 405*B*C^2*a^3*c^2*d^4*e^6 - 36*B^2*C*a^2*c^3*d^5*e^5 + 21*B*C^2*a^2*c^3*d^6*e^4 - 1296*A^2*C*a^2*c^3*d^3*e^7 + 396*A*C^2*a^3*c^2*d^3*e^7 - 330*A*C^2*a^2*c^3*d^5*e^5 + 1863*A^2*B*a^2*c^3*d^2*e^8 - 672*A*B^2*a^2*c^3*d^3*e^7 + 90*A*B*C*a^4*c*e^10 + 8*C^3*a^4*c*d^3*e^7 - 1350*A^3*a^2*c^3*d*e^9 - 324*A^3*a*c^4*d^3*e^7 - 36*A^2*C*c^5*d^7*e^3 + 45*A^2*B*c^5*d^6*e^4 - 225*A^2*B*a^3*c^2*e^10 - 86*C^3*a^3*c^2*d^5*e^5 - 4*C^3*a^2*c^3*d^7*e^3 + 316*B^3*a^3*c^2*d^2*e^8 + 20*B^3*a^2*c^3*d^4*e^6 + 18*C^3*a^5*d*e^9 - 64*B^3*a^4*c*e^10 - 9*B*C^2*a^5*e^10 - 54*A^3*c^5*d^5*e^5, z, k)*((512*a^11*c^2*d*e^14 + 512*a^5*c^8*d^13*e^2 + 3072*a^6*c^7*d^11*e^4 + 7680*a^7*c^6*d^9*e^6 + 10240*a^8*c^5*d^7*e^8 + 7680*a^9*c^4*d^5*e^10 + 3072*a^10*c^3*d^3*e^12)/(64*(a^10*e^12 + a^4*c^6*d^12 + 6*a^9*c*d^2*e^10 + 6*a^5*c^5*d^10*e^2 + 15*a^6*c^4*d^8*e^4 + 20*a^7*c^3*d^6*e^6 + 15*a^8*c^2*d^4*e^8)) + (x*(384*a^11*c^2*e^15 - 128*a^4*c^9*d^14*e - 384*a^5*c^8*d^12*e^3 + 384*a^6*c^7*d^10*e^5 + 3200*a^7*c^6*d^8*e^7 + 5760*a^8*c^5*d^6*e^9 + 4992*a^9*c^4*d^4*e^11 + 2176*a^10*c^3*d^2*e^13))/(64*(a^10*e^12 + a^4*c^6*d^12 + 6*a^9*c*d^2*e^10 + 6*a^5*c^5*d^10*e^2 + 15*a^6*c^4*d^8*e^4 + 20*a^7*c^3*d^6*e^6 + 15*a^8*c^2*d^4*e^8))) + (x*(192*B*a^8*c^2*e^13 + 912*A*a^7*c^3*d*e^12 - 336*C*a^8*c^2*d*e^12 + 48*A*a^2*c^8*d^11*e^2 + 336*A*a^3*c^7*d^9*e^4 + 1632*A*a^4*c^6*d^7*e^6 + 3360*A*a^5*c^5*d^5*e^8 + 2928*A*a^6*c^4*d^3*e^10 - 32*B*a^3*c^7*d^10*e^3 - 704*B*a^4*c^6*d^8*e^5 - 1728*B*a^5*c^5*d^6*e^7 - 1280*B*a^6*c^4*d^4*e^9 - 32*B*a^7*c^3*d^2*e^11 + 16*C*a^3*c^7*d^11*e^2 + 496*C*a^4*c^6*d^9*e^4 + 1056*C*a^5*c^5*d^7*e^6 + 352*C*a^6*c^4*d^5*e^8 - 560*C*a^7*c^3*d^3*e^10))/(64*(a^10*e^12 + a^4*c^6*d^12 + 6*a^9*c*d^2*e^10 + 6*a^5*c^5*d^10*e^2 + 15*a^6*c^4*d^8*e^4 + 20*a^7*c^3*d^6*e^6 + 15*a^8*c^2*d^4*e^8))) + (9*A^2*c^7*d^9*e^2 + 198*A^2*a^2*c^5*d^5*e^6 + 216*A^2*a^3*c^4*d^3*e^8 + 4*B^2*a^2*c^5*d^7*e^4 - 8*B^2*a^3*c^4*d^5*e^6 - 412*B^2*a^4*c^3*d^3*e^8 + C^2*a^2*c^5*d^9*e^2 - 8*C^2*a^3*c^4*d^7*e^4 - 250*C^2*a^4*c^3*d^5*e^6 + 296*C^2*a^5*c^2*d^3*e^8 - 120*A*B*a^5*c^2*e^11 - 39*C^2*a^6*c*d*e^10 + 72*A^2*a*c^6*d^7*e^4 - 495*A^2*a^4*c^3*d*e^10 + 176*B^2*a^5*c^2*d*e^10 + 24*B*C*a^6*c*e^11 - 12*A*B*a*c^6*d^8*e^3 + 6*A*C*a*c^6*d^9*e^2 + 294*A*C*a^5*c^2*d*e^10 - 36*A*B*a^2*c^5*d^6*e^5 + 36*A*B*a^3*c^4*d^4*e^7 + 1092*A*B*a^4*c^3*d^2*e^9 - 108*A*C*a^3*c^4*d^5*e^6 - 960*A*C*a^4*c^3*d^3*e^8 - 4*B*C*a^2*c^5*d^8*e^3 + 20*B*C*a^3*c^4*d^6*e^5 + 652*B*C*a^4*c^3*d^4*e^7 - 500*B*C*a^5*c^2*d^2*e^9)/(64*(a^10*e^12 + a^4*c^6*d^12 + 6*a^9*c*d^2*e^10 + 6*a^5*c^5*d^10*e^2 + 15*a^6*c^4*d^8*e^4 + 20*a^7*c^3*d^6*e^6 + 15*a^8*c^2*d^4*e^8)) + (x*(225*A^2*a^4*c^3*e^11 + 9*A^2*c^7*d^8*e^3 + 9*C^2*a^6*c*e^11 + 54*A^2*a^2*c^5*d^4*e^7 - 360*A^2*a^3*c^4*d^2*e^9 + 4*B^2*a^2*c^5*d^6*e^5 - 88*B^2*a^3*c^4*d^4*e^7 + 484*B^2*a^4*c^3*d^2*e^9 + C^2*a^2*c^5*d^8*e^3 - 40*C^2*a^3*c^4*d^6*e^5 + 406*C^2*a^4*c^3*d^4*e^7 - 120*C^2*a^5*c^2*d^2*e^9 - 90*A*C*a^5*c^2*e^11 + 72*A^2*a*c^6*d^6*e^5 - 12*A*B*a*c^6*d^7*e^4 - 660*A*B*a^4*c^3*d*e^10 + 6*A*C*a*c^6*d^8*e^3 + 132*B*C*a^5*c^2*d*e^10 + 84*A*B*a^2*c^5*d^5*e^6 + 588*A*B*a^3*c^4*d^3*e^8 - 96*A*C*a^2*c^5*d^6*e^5 - 492*A*C*a^3*c^4*d^4*e^7 + 672*A*C*a^4*c^3*d^2*e^9 - 4*B*C*a^2*c^5*d^7*e^4 + 124*B*C*a^3*c^4*d^5*e^6 - 892*B*C*a^4*c^3*d^3*e^8))/(64*(a^10*e^12 + a^4*c^6*d^12 + 6*a^9*c*d^2*e^10 + 6*a^5*c^5*d^10*e^2 + 15*a^6*c^4*d^8*e^4 + 20*a^7*c^3*d^6*e^6 + 15*a^8*c^2*d^4*e^8)))*root(17920*a^9*c^5*d^8*e^8*z^3 + 14336*a^10*c^4*d^6*e^10*z^3 + 14336*a^8*c^6*d^10*e^6*z^3 + 7168*a^11*c^3*d^4*e^12*z^3 + 7168*a^7*c^7*d^12*e^4*z^3 + 2048*a^12*c^2*d^2*e^14*z^3 + 2048*a^6*c^8*d^14*e^2*z^3 + 256*a^5*c^9*d^16*z^3 + 256*a^13*c*e^16*z^3 + 948*B*C*a^7*c*d*e^11*z - 12*A*B*a*c^7*d^11*e*z + 9768*B*C*a^5*c^3*d^5*e^7*z - 7476*B*C*a^6*c^2*d^3*e^9*z - 328*B*C*a^4*c^4*d^7*e^5*z - 92*B*C*a^3*c^5*d^9*e^3*z - 12486*A*C*a^5*c^3*d^4*e^8*z + 5868*A*C*a^6*c^2*d^2*e^10*z + 282*A*C*a^3*c^5*d^8*e^4*z + 168*A*C*a^4*c^4*d^6*e^6*z + 108*A*C*a^2*c^6*d^10*e^2*z + 14820*A*B*a^5*c^3*d^3*e^9*z - 840*A*B*a^4*c^4*d^5*e^7*z - 600*A*B*a^3*c^5*d^7*e^5*z - 180*A*B*a^2*c^6*d^9*e^3*z - 4*B*C*a^2*c^6*d^11*e*z - 3204*A*B*a^6*c^2*d*e^11*z + 4239*C^2*a^6*c^2*d^4*e^8*z - 3924*C^2*a^5*c^3*d^6*e^6*z + 103*C^2*a^4*c^4*d^8*e^4*z + 26*C^2*a^3*c^5*d^10*e^2*z - 6000*B^2*a^5*c^3*d^4*e^8*z + 2820*B^2*a^6*c^2*d^2*e^10*z + 280*B^2*a^4*c^4*d^6*e^6*z + 80*B^2*a^3*c^5*d^8*e^4*z + 4*B^2*a^2*c^6*d^10*e^2*z - 8262*A^2*a^5*c^3*d^2*e^10*z + 1575*A^2*a^4*c^4*d^4*e^8*z + 1260*A^2*a^3*c^5*d^6*e^6*z + 495*A^2*a^2*c^6*d^8*e^4*z - 90*A*C*a^7*c*e^12*z + 6*A*C*a*c^7*d^12*z - 966*C^2*a^7*c*d^2*e^10*z + 90*A^2*a*c^7*d^10*e^2*z + C^2*a^2*c^6*d^12*z + 225*A^2*a^6*c^2*e^12*z - 192*B^2*a^7*c*e^12*z + 9*A^2*c^8*d^12*z + 9*C^2*a^8*e^12*z + 78*A*B*C*a*c^4*d^6*e^4 + 942*A*B*C*a^2*c^3*d^4*e^6 - 342*A*B*C*a^3*c^2*d^2*e^8 - 129*B*C^2*a^4*c*d^2*e^8 + 990*A^2*C*a^3*c^2*d*e^9 - 234*A^2*C*a*c^4*d^5*e^5 - 24*A*C^2*a*c^4*d^7*e^3 + 333*A^2*B*a*c^4*d^4*e^6 - 252*A*B^2*a^3*c^2*d*e^9 - 60*A*B^2*a*c^4*d^5*e^5 + 204*B^2*C*a^4*c*d*e^9 - 234*A*C^2*a^4*c*d*e^9 - 624*B^2*C*a^3*c^2*d^3*e^7 + 405*B*C^2*a^3*c^2*d^4*e^6 - 36*B^2*C*a^2*c^3*d^5*e^5 + 21*B*C^2*a^2*c^3*d^6*e^4 - 1296*A^2*C*a^2*c^3*d^3*e^7 + 396*A*C^2*a^3*c^2*d^3*e^7 - 330*A*C^2*a^2*c^3*d^5*e^5 + 1863*A^2*B*a^2*c^3*d^2*e^8 - 672*A*B^2*a^2*c^3*d^3*e^7 + 90*A*B*C*a^4*c*e^10 + 8*C^3*a^4*c*d^3*e^7 - 1350*A^3*a^2*c^3*d*e^9 - 324*A^3*a*c^4*d^3*e^7 - 36*A^2*C*c^5*d^7*e^3 + 45*A^2*B*c^5*d^6*e^4 - 225*A^2*B*a^3*c^2*e^10 - 86*C^3*a^3*c^2*d^5*e^5 - 4*C^3*a^2*c^3*d^7*e^3 + 316*B^3*a^3*c^2*d^2*e^8 + 20*B^3*a^2*c^3*d^4*e^6 + 18*C^3*a^5*d*e^9 - 64*B^3*a^4*c*e^10 - 9*B*C^2*a^5*e^10 - 54*A^3*c^5*d^5*e^5, z, k), k, 1, 3) + ((x^4*(3*C*a^3*c*e^5 + 3*A*c^4*d^4*e - 15*A*a^2*c^2*e^5 + 12*A*a*c^3*d^2*e^3 - 2*B*a*c^3*d^3*e^2 + 22*B*a^2*c^2*d*e^4 - 20*C*a^2*c^2*d^2*e^3 + C*a*c^3*d^4*e))/(8*a^2*(a^3*e^6 + c^3*d^6 + 3*a*c^2*d^4*e^2 + 3*a^2*c*d^2*e^4)) - (4*A*a^2*e^5 + B*c^2*d^5 - 7*B*a^2*d*e^4 - 2*A*c^2*d^4*e + 10*C*a^2*d^2*e^3 - 2*C*a*c*d^4*e - 10*A*a*c*d^2*e^3 + 6*B*a*c*d^3*e^2)/(4*(a*e^2 + c*d^2)*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) + (x^3*(3*A*c^3*d^3 + 4*B*a^2*c*e^3 + C*a*c^2*d^3 + 9*A*a*c^2*d*e^2 - 2*B*a*c^2*d^2*e - 5*C*a^2*c*d*e^2))/(8*a^2*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) + (x*(5*A*c^2*d^3 + 6*B*a^2*e^3 - C*a*c*d^3 - 7*C*a^2*d*e^2 + 11*A*a*c*d*e^2))/(8*a*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)) + (x^2*(5*C*a^3*e^5 - 25*A*a^2*c*e^5 + 5*A*c^3*d^4*e + 28*A*a*c^2*d^2*e^3 - 10*B*a*c^2*d^3*e^2 - 36*C*a^2*c*d^2*e^3 + 38*B*a^2*c*d*e^4 + 7*C*a*c^2*d^4*e))/(8*a*(a*e^2 + c*d^2)*(a^2*e^4 + c^2*d^4 + 2*a*c*d^2*e^2)))/(a^2*d + c^2*d*x^4 + c^2*e*x^5 + a^2*e*x + 2*a*c*d*x^2 + 2*a*c*e*x^3)","B"
63,1,8774,753,7.243603,"\text{Not used}","int((A + B*x + C*x^2)/((a + c*x^2)^3*(d + e*x)^3),x)","\frac{\frac{x^5\,\left(37\,C\,a^3\,c^2\,d\,e^6-15\,B\,a^3\,c^2\,e^7-58\,C\,a^2\,c^3\,d^3\,e^4+78\,B\,a^2\,c^3\,d^2\,e^5-81\,A\,a^2\,c^3\,d\,e^6+C\,a\,c^4\,d^5\,e^2-3\,B\,a\,c^4\,d^4\,e^3+18\,A\,a\,c^4\,d^3\,e^4+3\,A\,c^5\,d^5\,e^2\right)}{8\,a^2\,\left(a^4\,e^8+4\,a^3\,c\,d^2\,e^6+6\,a^2\,c^2\,d^4\,e^4+4\,a\,c^3\,d^6\,e^2+c^4\,d^8\right)}-\frac{-9\,C\,a^3\,d^2\,e^5+2\,B\,a^3\,d\,e^6+2\,A\,a^3\,e^7+36\,C\,a^2\,c\,d^4\,e^3-37\,B\,a^2\,c\,d^3\,e^4+31\,A\,a^2\,c\,d^2\,e^5-3\,C\,a\,c^2\,d^6\,e+10\,B\,a\,c^2\,d^5\,e^2-22\,A\,a\,c^2\,d^4\,e^3+B\,c^3\,d^7-3\,A\,c^3\,d^6\,e}{4\,\left(a^4\,e^8+4\,a^3\,c\,d^2\,e^6+6\,a^2\,c^2\,d^4\,e^4+4\,a\,c^3\,d^6\,e^2+c^4\,d^8\right)}+\frac{x\,\left(28\,C\,a^4\,d\,e^6-8\,B\,a^4\,e^7-77\,C\,a^3\,c\,d^3\,e^4+91\,B\,a^3\,c\,d^2\,e^5-68\,A\,a^3\,c\,d\,e^6-10\,C\,a^2\,c^2\,d^5\,e^2+2\,B\,a^2\,c^2\,d^4\,e^3+49\,A\,a^2\,c^2\,d^3\,e^4-C\,a\,c^3\,d^7-B\,a\,c^3\,d^6\,e+26\,A\,a\,c^3\,d^5\,e^2+5\,A\,c^4\,d^7\right)}{8\,a\,\left(a^4\,e^8+4\,a^3\,c\,d^2\,e^6+6\,a^2\,c^2\,d^4\,e^4+4\,a\,c^3\,d^6\,e^2+c^4\,d^8\right)}+\frac{x^2\,\left(3\,C\,a^4\,e^7+23\,C\,a^3\,c\,d^2\,e^5+2\,B\,a^3\,c\,d\,e^6-9\,A\,a^3\,c\,e^7-71\,C\,a^2\,c^2\,d^4\,e^3+88\,B\,a^2\,c^2\,d^3\,e^4-73\,A\,a^2\,c^2\,d^2\,e^5+5\,C\,a\,c^3\,d^6\,e-10\,B\,a\,c^3\,d^5\,e^2+37\,A\,a\,c^3\,d^4\,e^3+5\,A\,c^4\,d^6\,e\right)}{4\,a\,\left(a^4\,e^8+4\,a^3\,c\,d^2\,e^6+6\,a^2\,c^2\,d^4\,e^4+4\,a\,c^3\,d^6\,e^2+c^4\,d^8\right)}+\frac{x^3\,\left(67\,C\,a^4\,c\,d\,e^6-25\,B\,a^4\,c\,e^7-129\,C\,a^3\,c^2\,d^3\,e^4+163\,B\,a^3\,c^2\,d^2\,e^5-151\,A\,a^3\,c^2\,d\,e^6-3\,C\,a^2\,c^3\,d^5\,e^2-7\,B\,a^2\,c^3\,d^4\,e^3+61\,A\,a^2\,c^3\,d^3\,e^4+C\,a\,c^4\,d^7-3\,B\,a\,c^4\,d^6\,e+23\,A\,a\,c^4\,d^5\,e^2+3\,A\,c^5\,d^7\right)}{8\,a^2\,\left(a^4\,e^8+4\,a^3\,c\,d^2\,e^6+6\,a^2\,c^2\,d^4\,e^4+4\,a\,c^3\,d^6\,e^2+c^4\,d^8\right)}+\frac{x^4\,\left(2\,C\,a^4\,c\,e^7+11\,C\,a^3\,c^2\,d^2\,e^5+3\,B\,a^3\,c^2\,d\,e^6-6\,A\,a^3\,c^2\,e^7-38\,C\,a^2\,c^3\,d^4\,e^3+48\,B\,a^2\,c^3\,d^3\,e^4-39\,A\,a^2\,c^3\,d^2\,e^5+C\,a\,c^4\,d^6\,e-3\,B\,a\,c^4\,d^5\,e^2+18\,A\,a\,c^4\,d^4\,e^3+3\,A\,c^5\,d^6\,e\right)}{4\,a^2\,\left(a^4\,e^8+4\,a^3\,c\,d^2\,e^6+6\,a^2\,c^2\,d^4\,e^4+4\,a\,c^3\,d^6\,e^2+c^4\,d^8\right)}}{x^2\,\left(a^2\,e^2+2\,c\,a\,d^2\right)+x^4\,\left(c^2\,d^2+2\,a\,c\,e^2\right)+a^2\,d^2+c^2\,e^2\,x^6+2\,a^2\,d\,e\,x+2\,c^2\,d\,e\,x^5+4\,a\,c\,d\,e\,x^3}+\left(\sum 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,A^3\,a^3\,c^3\,e^{11}-64\,C^3\,a^6\,e^{11},z,k\right)\right)","Not 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2025*B^3*a^4*c^2*d*e^10 - 1674*A^3*a*c^5*d^4*e^7 - 90*A^2*C*c^6*d^8*e^3 + 135*A^2*B*c^6*d^7*e^4 - 1728*A^2*C*a^4*c^2*e^11 + 675*A*B^2*a^4*c^2*e^11 - 225*B^2*C*a^5*c*e^11 + 576*A*C^2*a^5*c*e^11 - 397*C^3*a^3*c^3*d^6*e^5 - 108*C^3*a^4*c^2*d^4*e^7 - 10*C^3*a^2*c^4*d^8*e^3 + 3294*B^3*a^3*c^3*d^3*e^8 + 135*B^3*a^2*c^4*d^5*e^6 - 11853*A^3*a^2*c^4*d^2*e^9 - 189*A^3*c^6*d^6*e^5 + 1728*A^3*a^3*c^3*e^11 - 64*C^3*a^6*e^11, z, k)*((512*a^13*c^2*d*e^18 + 512*a^5*c^10*d^17*e^2 + 4096*a^6*c^9*d^15*e^4 + 14336*a^7*c^8*d^13*e^6 + 28672*a^8*c^7*d^11*e^8 + 35840*a^9*c^6*d^9*e^10 + 28672*a^10*c^5*d^7*e^12 + 14336*a^11*c^4*d^5*e^14 + 4096*a^12*c^3*d^3*e^16)/(64*(a^12*e^16 + a^4*c^8*d^16 + 8*a^11*c*d^2*e^14 + 8*a^5*c^7*d^14*e^2 + 28*a^6*c^6*d^12*e^4 + 56*a^7*c^5*d^10*e^6 + 70*a^8*c^4*d^8*e^8 + 56*a^9*c^3*d^6*e^10 + 28*a^10*c^2*d^4*e^12)) + (x*(384*a^13*c^2*e^19 - 128*a^4*c^11*d^18*e - 640*a^5*c^10*d^16*e^3 - 512*a^6*c^9*d^14*e^5 + 3584*a^7*c^8*d^12*e^7 + 12544*a^8*c^7*d^10*e^9 + 19712*a^9*c^6*d^8*e^11 + 17920*a^10*c^5*d^6*e^13 + 9728*a^11*c^4*d^4*e^15 + 2944*a^12*c^3*d^2*e^17))/(64*(a^12*e^16 + a^4*c^8*d^16 + 8*a^11*c*d^2*e^14 + 8*a^5*c^7*d^14*e^2 + 28*a^6*c^6*d^12*e^4 + 56*a^7*c^5*d^10*e^6 + 70*a^8*c^4*d^8*e^8 + 56*a^9*c^3*d^6*e^10 + 28*a^10*c^2*d^4*e^12))) + (120*B*a^10*c^2*e^16 + 24*A*a^2*c^10*d^15*e + 456*A*a^9*c^3*d*e^15 + 8*C*a^3*c^9*d^15*e - 232*C*a^10*c^2*d*e^15 + 216*A*a^3*c^9*d^13*e^3 + 1176*A*a^4*c^8*d^11*e^5 + 3480*A*a^5*c^7*d^9*e^7 + 5640*A*a^6*c^6*d^7*e^9 + 5064*A*a^7*c^5*d^5*e^11 + 2376*A*a^8*c^4*d^3*e^13 - 24*B*a^3*c^9*d^14*e^2 - 408*B*a^4*c^8*d^12*e^4 - 1560*B*a^5*c^7*d^10*e^6 - 2520*B*a^6*c^6*d^8*e^8 - 1800*B*a^7*c^5*d^6*e^10 - 264*B*a^8*c^4*d^4*e^12 + 312*B*a^9*c^3*d^2*e^14 + 200*C*a^4*c^8*d^13*e^3 + 648*C*a^5*c^7*d^11*e^5 + 520*C*a^6*c^6*d^9*e^7 - 680*C*a^7*c^5*d^7*e^9 - 1512*C*a^8*c^4*d^5*e^11 - 1000*C*a^9*c^3*d^3*e^13)/(64*(a^12*e^16 + a^4*c^8*d^16 + 8*a^11*c*d^2*e^14 + 8*a^5*c^7*d^14*e^2 + 28*a^6*c^6*d^12*e^4 + 56*a^7*c^5*d^10*e^6 + 70*a^8*c^4*d^8*e^8 + 56*a^9*c^3*d^6*e^10 + 28*a^10*c^2*d^4*e^12)) + (x*(192*C*a^10*c^2*e^16 - 576*A*a^9*c^3*e^16 + 1488*B*a^9*c^3*d*e^15 + 48*A*a^2*c^10*d^14*e^2 + 480*A*a^3*c^9*d^12*e^4 + 4176*A*a^4*c^8*d^10*e^6 + 12288*A*a^5*c^7*d^8*e^8 + 15312*A*a^6*c^6*d^6*e^10 + 7776*A*a^7*c^5*d^4*e^12 + 432*A*a^8*c^4*d^2*e^14 - 48*B*a^3*c^9*d^13*e^3 - 1824*B*a^4*c^8*d^11*e^5 - 5328*B*a^5*c^7*d^9*e^7 - 4032*B*a^6*c^6*d^7*e^9 + 2352*B*a^7*c^5*d^5*e^11 + 4320*B*a^8*c^4*d^3*e^13 + 16*C*a^3*c^9*d^14*e^2 + 1056*C*a^4*c^8*d^12*e^4 + 2160*C*a^5*c^7*d^10*e^6 - 1408*C*a^6*c^6*d^8*e^8 - 6672*C*a^7*c^5*d^6*e^10 - 5472*C*a^8*c^4*d^4*e^12 - 1136*C*a^9*c^3*d^2*e^14))/(64*(a^12*e^16 + a^4*c^8*d^16 + 8*a^11*c*d^2*e^14 + 8*a^5*c^7*d^14*e^2 + 28*a^6*c^6*d^12*e^4 + 56*a^7*c^5*d^10*e^6 + 70*a^8*c^4*d^8*e^8 + 56*a^9*c^3*d^6*e^10 + 28*a^10*c^2*d^4*e^12))) + (9*A^2*c^9*d^11*e^2 + 342*A^2*a^2*c^7*d^7*e^6 + 36*A^2*a^3*c^6*d^5*e^8 - 7479*A^2*a^4*c^5*d^3*e^10 + 9*B^2*a^2*c^7*d^9*e^4 - 108*B^2*a^3*c^6*d^7*e^6 - 3402*B^2*a^4*c^5*d^5*e^8 + 5076*B^2*a^5*c^4*d^3*e^10 + C^2*a^2*c^7*d^11*e^2 - 36*C^2*a^3*c^6*d^9*e^4 - 1306*C^2*a^4*c^5*d^7*e^6 + 4708*C^2*a^5*c^4*d^5*e^8 - 2943*C^2*a^6*c^3*d^3*e^10 + 360*A*B*a^6*c^3*e^13 - 120*B*C*a^7*c^2*e^13 + 108*A^2*a*c^8*d^9*e^4 + 1944*A^2*a^5*c^4*d*e^12 - 855*B^2*a^6*c^3*d*e^12 + 296*C^2*a^7*c^2*d*e^12 - 18*A*B*a*c^8*d^10*e^3 + 6*A*C*a*c^8*d^11*e^2 - 1536*A*C*a^6*c^3*d*e^12 + 756*A*B*a^3*c^6*d^6*e^7 + 11016*A*B*a^4*c^5*d^4*e^9 - 7794*A*B*a^5*c^4*d^2*e^11 - 72*A*C*a^2*c^7*d^9*e^4 - 732*A*C*a^3*c^6*d^7*e^6 - 7368*A*C*a^4*c^5*d^5*e^8 + 10182*A*C*a^5*c^4*d^3*e^10 - 6*B*C*a^2*c^7*d^10*e^3 + 144*B*C*a^3*c^6*d^8*e^5 + 4284*B*C*a^4*c^5*d^6*e^7 - 10440*B*C*a^5*c^4*d^4*e^9 + 3738*B*C*a^6*c^3*d^2*e^11)/(64*(a^12*e^16 + a^4*c^8*d^16 + 8*a^11*c*d^2*e^14 + 8*a^5*c^7*d^14*e^2 + 28*a^6*c^6*d^12*e^4 + 56*a^7*c^5*d^10*e^6 + 70*a^8*c^4*d^8*e^8 + 56*a^9*c^3*d^6*e^10 + 28*a^10*c^2*d^4*e^12)) + (x*(225*B^2*a^6*c^3*e^13 + 9*A^2*c^9*d^10*e^3 - 162*A^2*a^2*c^7*d^6*e^7 - 2916*A^2*a^3*c^6*d^4*e^9 + 6561*A^2*a^4*c^5*d^2*e^11 + 9*B^2*a^2*c^7*d^8*e^5 - 468*B^2*a^3*c^6*d^6*e^7 + 6174*B^2*a^4*c^5*d^4*e^9 - 2340*B^2*a^5*c^4*d^2*e^11 + C^2*a^2*c^7*d^10*e^3 - 116*C^2*a^3*c^6*d^8*e^5 + 3438*C^2*a^4*c^5*d^6*e^7 - 4292*C^2*a^5*c^4*d^4*e^9 + 1369*C^2*a^6*c^3*d^2*e^11 + 108*A^2*a*c^8*d^8*e^5 - 18*A*B*a*c^8*d^9*e^4 + 2430*A*B*a^5*c^4*d*e^12 + 6*A*C*a*c^8*d^10*e^3 - 1110*B*C*a^6*c^3*d*e^12 + 360*A*B*a^2*c^7*d^7*e^6 + 3204*A*B*a^3*c^6*d^5*e^8 - 13176*A*B*a^4*c^5*d^3*e^10 - 312*A*C*a^2*c^7*d^8*e^5 - 2028*A*C*a^3*c^6*d^6*e^7 + 10728*A*C*a^4*c^5*d^4*e^9 - 5994*A*C*a^5*c^4*d^2*e^11 - 6*B*C*a^2*c^7*d^9*e^4 + 504*B*C*a^3*c^6*d^7*e^6 - 9300*B*C*a^4*c^5*d^5*e^8 + 7512*B*C*a^5*c^4*d^3*e^10))/(64*(a^12*e^16 + a^4*c^8*d^16 + 8*a^11*c*d^2*e^14 + 8*a^5*c^7*d^14*e^2 + 28*a^6*c^6*d^12*e^4 + 56*a^7*c^5*d^10*e^6 + 70*a^8*c^4*d^8*e^8 + 56*a^9*c^3*d^6*e^10 + 28*a^10*c^2*d^4*e^12)))*root(2560*a^14*c*d^2*e^18*z^3 + 64512*a^10*c^5*d^10*e^10*z^3 + 53760*a^11*c^4*d^8*e^12*z^3 + 53760*a^9*c^6*d^12*e^8*z^3 + 30720*a^12*c^3*d^6*e^14*z^3 + 30720*a^8*c^7*d^14*e^6*z^3 + 11520*a^13*c^2*d^4*e^16*z^3 + 11520*a^7*c^8*d^16*e^4*z^3 + 2560*a^6*c^9*d^18*e^2*z^3 + 256*a^5*c^10*d^20*z^3 + 256*a^15*e^20*z^3 - 4806*B*C*a^8*c*d*e^13*z - 18*A*B*a*c^8*d^13*e*z - 147930*B*C*a^6*c^3*d^5*e^9*z + 74760*B*C*a^5*c^4*d^7*e^7*z + 66588*B*C*a^7*c^2*d^3*e^11*z - 1050*B*C*a^4*c^5*d^9*e^5*z - 228*B*C*a^3*c^6*d^11*e^3*z + 152052*A*C*a^6*c^3*d^4*e^10*z - 109830*A*C*a^5*c^4*d^6*e^8*z - 32490*A*C*a^7*c^2*d^2*e^12*z + 426*A*C*a^3*c^6*d^10*e^4*z - 360*A*C*a^4*c^5*d^8*e^6*z + 180*A*C*a^2*c^7*d^12*e^2*z + 158130*A*B*a^5*c^4*d^5*e^9*z - 121356*A*B*a^6*c^3*d^3*e^11*z - 3240*A*B*a^4*c^5*d^7*e^7*z - 1710*A*B*a^3*c^6*d^9*e^5*z - 396*A*B*a^2*c^7*d^11*e^3*z - 6*B*C*a^2*c^7*d^13*e*z + 13518*A*B*a^7*c^2*d*e^13*z + 67615*C^2*a^6*c^3*d^6*e^8*z - 47538*C^2*a^7*c^2*d^4*e^10*z - 24860*C^2*a^5*c^4*d^8*e^6*z + 279*C^2*a^4*c^5*d^10*e^4*z + 46*C^2*a^3*c^6*d^12*e^2*z + 71415*B^2*a^6*c^3*d^4*e^10*z - 55260*B^2*a^5*c^4*d^6*e^8*z - 19602*B^2*a^7*c^2*d^2*e^12*z + 1215*B^2*a^4*c^5*d^8*e^6*z + 270*B^2*a^3*c^6*d^10*e^4*z + 9*B^2*a^2*c^7*d^12*e^2*z - 106722*A^2*a^5*c^4*d^4*e^10*z + 35217*A^2*a^6*c^3*d^2*e^12*z + 6615*A^2*a^4*c^5*d^6*e^8*z + 3780*A^2*a^3*c^6*d^8*e^6*z + 1071*A^2*a^2*c^7*d^10*e^4*z + 1152*A*C*a^8*c*e^14*z + 6*A*C*a*c^8*d^14*z + 7017*C^2*a^8*c*d^2*e^12*z + 126*A^2*a*c^8*d^12*e^2*z + C^2*a^2*c^7*d^14*z - 1728*A^2*a^7*c^2*e^14*z + 225*B^2*a^8*c*e^14*z + 9*A^2*c^9*d^14*z - 192*C^2*a^9*e^14*z + 3168*A*B*C*a^4*c^2*d*e^10 + 270*A*B*C*a*c^5*d^7*e^4 - 6930*A*B*C*a^3*c^3*d^3*e^8 + 5148*A*B*C*a^2*c^4*d^5*e^6 - 819*A^2*C*a*c^5*d^6*e^5 - 60*A*C^2*a*c^5*d^8*e^3 - 6102*A^2*B*a^3*c^3*d*e^10 + 1512*A^2*B*a*c^5*d^5*e^6 - 270*A*B^2*a*c^5*d^6*e^5 - 378*B*C^2*a^5*c*d*e^10 - 5049*B^2*C*a^3*c^3*d^4*e^7 + 4698*B^2*C*a^4*c^2*d^2*e^9 + 2508*B*C^2*a^3*c^3*d^5*e^6 - 1977*B*C^2*a^4*c^2*d^3*e^8 - 180*B^2*C*a^2*c^4*d^6*e^5 + 75*B*C^2*a^2*c^4*d^7*e^4 + 15921*A^2*C*a^3*c^3*d^2*e^9 - 7848*A^2*C*a^2*c^4*d^4*e^7 - 6363*A*C^2*a^4*c^2*d^2*e^9 + 4926*A*C^2*a^3*c^3*d^4*e^7 - 1443*A*C^2*a^2*c^4*d^6*e^5 + 14283*A^2*B*a^2*c^4*d^3*e^8 - 4617*A*B^2*a^2*c^4*d^4*e^7 - 1944*A*B^2*a^3*c^3*d^2*e^9 + 791*C^3*a^5*c*d^2*e^9 - 2025*B^3*a^4*c^2*d*e^10 - 1674*A^3*a*c^5*d^4*e^7 - 90*A^2*C*c^6*d^8*e^3 + 135*A^2*B*c^6*d^7*e^4 - 1728*A^2*C*a^4*c^2*e^11 + 675*A*B^2*a^4*c^2*e^11 - 225*B^2*C*a^5*c*e^11 + 576*A*C^2*a^5*c*e^11 - 397*C^3*a^3*c^3*d^6*e^5 - 108*C^3*a^4*c^2*d^4*e^7 - 10*C^3*a^2*c^4*d^8*e^3 + 3294*B^3*a^3*c^3*d^3*e^8 + 135*B^3*a^2*c^4*d^5*e^6 - 11853*A^3*a^2*c^4*d^2*e^9 - 189*A^3*c^6*d^6*e^5 + 1728*A^3*a^3*c^3*e^11 - 64*C^3*a^6*e^11, z, k), k, 1, 3)","B"
64,1,669,234,4.382127,"\text{Not used}","int(((d + e*x)^4*(A + B*x + C*x^2))/(a + c*x^2)^4,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x\,\left(c\,d^2+a\,e^2\right)\,\left(5\,C\,a^2\,e^2+C\,a\,c\,d^2+4\,B\,a\,c\,d\,e+A\,a\,c\,e^2+5\,A\,c^2\,d^2\right)}{\sqrt{a}\,\left(5\,C\,a^3\,e^4+6\,C\,a^2\,c\,d^2\,e^2+4\,B\,a^2\,c\,d\,e^3+A\,a^2\,c\,e^4+C\,a\,c^2\,d^4+4\,B\,a\,c^2\,d^3\,e+6\,A\,a\,c^2\,d^2\,e^2+5\,A\,c^3\,d^4\right)}\right)\,\left(c\,d^2+a\,e^2\right)\,\left(5\,C\,a^2\,e^2+C\,a\,c\,d^2+4\,B\,a\,c\,d\,e+A\,a\,c\,e^2+5\,A\,c^2\,d^2\right)}{16\,a^{7/2}\,c^{7/2}}-\frac{\frac{4\,C\,a^2\,d\,e^3+B\,a^2\,e^4+2\,C\,a\,c\,d^3\,e+3\,B\,a\,c\,d^2\,e^2+2\,A\,a\,c\,d\,e^3+B\,c^2\,d^4+4\,A\,c^2\,d^3\,e}{6\,c^3}+\frac{x^2\,\left(B\,a\,e^4+2\,A\,c\,d\,e^3+4\,C\,a\,d\,e^3+2\,C\,c\,d^3\,e+3\,B\,c\,d^2\,e^2\right)}{2\,c^2}+\frac{x^4\,\left(B\,e^4+4\,C\,d\,e^3\right)}{2\,c}+\frac{x\,\left(5\,C\,a^3\,e^4+6\,C\,a^2\,c\,d^2\,e^2+4\,B\,a^2\,c\,d\,e^3+A\,a^2\,c\,e^4+C\,a\,c^2\,d^4+4\,B\,a\,c^2\,d^3\,e+6\,A\,a\,c^2\,d^2\,e^2-11\,A\,c^3\,d^4\right)}{16\,a\,c^3}-\frac{x^3\,\left(-5\,C\,a^3\,e^4-6\,C\,a^2\,c\,d^2\,e^2-4\,B\,a^2\,c\,d\,e^3-A\,a^2\,c\,e^4+C\,a\,c^2\,d^4+4\,B\,a\,c^2\,d^3\,e+6\,A\,a\,c^2\,d^2\,e^2+5\,A\,c^3\,d^4\right)}{6\,a^2\,c^2}-\frac{x^5\,\left(-11\,C\,a^3\,e^4+6\,C\,a^2\,c\,d^2\,e^2+4\,B\,a^2\,c\,d\,e^3+A\,a^2\,c\,e^4+C\,a\,c^2\,d^4+4\,B\,a\,c^2\,d^3\,e+6\,A\,a\,c^2\,d^2\,e^2+5\,A\,c^3\,d^4\right)}{16\,a^3\,c}}{a^3+3\,a^2\,c\,x^2+3\,a\,c^2\,x^4+c^3\,x^6}","Not used",1,"(atan((c^(1/2)*x*(a*e^2 + c*d^2)*(5*A*c^2*d^2 + 5*C*a^2*e^2 + A*a*c*e^2 + C*a*c*d^2 + 4*B*a*c*d*e))/(a^(1/2)*(5*A*c^3*d^4 + 5*C*a^3*e^4 + A*a^2*c*e^4 + C*a*c^2*d^4 + 6*A*a*c^2*d^2*e^2 + 6*C*a^2*c*d^2*e^2 + 4*B*a*c^2*d^3*e + 4*B*a^2*c*d*e^3)))*(a*e^2 + c*d^2)*(5*A*c^2*d^2 + 5*C*a^2*e^2 + A*a*c*e^2 + C*a*c*d^2 + 4*B*a*c*d*e))/(16*a^(7/2)*c^(7/2)) - ((B*a^2*e^4 + B*c^2*d^4 + 4*A*c^2*d^3*e + 4*C*a^2*d*e^3 + 2*A*a*c*d*e^3 + 2*C*a*c*d^3*e + 3*B*a*c*d^2*e^2)/(6*c^3) + (x^2*(B*a*e^4 + 2*A*c*d*e^3 + 4*C*a*d*e^3 + 2*C*c*d^3*e + 3*B*c*d^2*e^2))/(2*c^2) + (x^4*(B*e^4 + 4*C*d*e^3))/(2*c) + (x*(5*C*a^3*e^4 - 11*A*c^3*d^4 + A*a^2*c*e^4 + C*a*c^2*d^4 + 6*A*a*c^2*d^2*e^2 + 6*C*a^2*c*d^2*e^2 + 4*B*a*c^2*d^3*e + 4*B*a^2*c*d*e^3))/(16*a*c^3) - (x^3*(5*A*c^3*d^4 - 5*C*a^3*e^4 - A*a^2*c*e^4 + C*a*c^2*d^4 + 6*A*a*c^2*d^2*e^2 - 6*C*a^2*c*d^2*e^2 + 4*B*a*c^2*d^3*e - 4*B*a^2*c*d*e^3))/(6*a^2*c^2) - (x^5*(5*A*c^3*d^4 - 11*C*a^3*e^4 + A*a^2*c*e^4 + C*a*c^2*d^4 + 6*A*a*c^2*d^2*e^2 + 6*C*a^2*c*d^2*e^2 + 4*B*a*c^2*d^3*e + 4*B*a^2*c*d*e^3))/(16*a^3*c))/(a^3 + c^3*x^6 + 3*a^2*c*x^2 + 3*a*c^2*x^4)","B"
65,1,402,254,4.068804,"\text{Not used}","int(((d + e*x)^3*(A + B*x + C*x^2))/(a + c*x^2)^4,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(3\,C\,a^2\,d\,e^2+B\,a^2\,e^3+C\,a\,c\,d^3+3\,B\,a\,c\,d^2\,e+3\,A\,a\,c\,d\,e^2+5\,A\,c^2\,d^3\right)}{16\,a^{7/2}\,c^{5/2}}-\frac{\frac{2\,C\,a^2\,e^3+3\,C\,a\,c\,d^2\,e+3\,B\,a\,c\,d\,e^2+A\,a\,c\,e^3+2\,B\,c^2\,d^3+6\,A\,c^2\,d^2\,e}{12\,c^3}+\frac{x^2\,\left(A\,c\,e^3+2\,C\,a\,e^3+3\,B\,c\,d\,e^2+3\,C\,c\,d^2\,e\right)}{4\,c^2}-\frac{x^5\,\left(3\,C\,a^2\,d\,e^2+B\,a^2\,e^3+C\,a\,c\,d^3+3\,B\,a\,c\,d^2\,e+3\,A\,a\,c\,d\,e^2+5\,A\,c^2\,d^3\right)}{16\,a^3}+\frac{C\,e^3\,x^4}{2\,c}-\frac{x^3\,\left(-3\,C\,a^2\,d\,e^2-B\,a^2\,e^3+C\,a\,c\,d^3+3\,B\,a\,c\,d^2\,e+3\,A\,a\,c\,d\,e^2+5\,A\,c^2\,d^3\right)}{6\,a^2\,c}+\frac{x\,\left(3\,C\,a^2\,d\,e^2+B\,a^2\,e^3+C\,a\,c\,d^3+3\,B\,a\,c\,d^2\,e+3\,A\,a\,c\,d\,e^2-11\,A\,c^2\,d^3\right)}{16\,a\,c^2}}{a^3+3\,a^2\,c\,x^2+3\,a\,c^2\,x^4+c^3\,x^6}","Not used",1,"(atan((c^(1/2)*x)/a^(1/2))*(5*A*c^2*d^3 + B*a^2*e^3 + C*a*c*d^3 + 3*C*a^2*d*e^2 + 3*A*a*c*d*e^2 + 3*B*a*c*d^2*e))/(16*a^(7/2)*c^(5/2)) - ((2*B*c^2*d^3 + 2*C*a^2*e^3 + A*a*c*e^3 + 6*A*c^2*d^2*e + 3*B*a*c*d*e^2 + 3*C*a*c*d^2*e)/(12*c^3) + (x^2*(A*c*e^3 + 2*C*a*e^3 + 3*B*c*d*e^2 + 3*C*c*d^2*e))/(4*c^2) - (x^5*(5*A*c^2*d^3 + B*a^2*e^3 + C*a*c*d^3 + 3*C*a^2*d*e^2 + 3*A*a*c*d*e^2 + 3*B*a*c*d^2*e))/(16*a^3) + (C*e^3*x^4)/(2*c) - (x^3*(5*A*c^2*d^3 - B*a^2*e^3 + C*a*c*d^3 - 3*C*a^2*d*e^2 + 3*A*a*c*d*e^2 + 3*B*a*c*d^2*e))/(6*a^2*c) + (x*(B*a^2*e^3 - 11*A*c^2*d^3 + C*a*c*d^3 + 3*C*a^2*d*e^2 + 3*A*a*c*d*e^2 + 3*B*a*c*d^2*e))/(16*a*c^2))/(a^3 + c^3*x^6 + 3*a^2*c*x^2 + 3*a*c^2*x^4)","B"
66,1,287,225,0.227086,"\text{Not used}","int(((d + e*x)^2*(A + B*x + C*x^2))/(a + c*x^2)^4,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(C\,a^2\,e^2+C\,a\,c\,d^2+2\,B\,a\,c\,d\,e+A\,a\,c\,e^2+5\,A\,c^2\,d^2\right)}{16\,a^{7/2}\,c^{5/2}}-\frac{\frac{B\,a\,e^2+2\,B\,c\,d^2+4\,A\,c\,d\,e+2\,C\,a\,d\,e}{12\,c^2}-\frac{x^5\,\left(C\,a^2\,e^2+C\,a\,c\,d^2+2\,B\,a\,c\,d\,e+A\,a\,c\,e^2+5\,A\,c^2\,d^2\right)}{16\,a^3}+\frac{x^2\,\left(B\,e^2+2\,C\,d\,e\right)}{4\,c}+\frac{x\,\left(C\,a^2\,e^2+C\,a\,c\,d^2+2\,B\,a\,c\,d\,e+A\,a\,c\,e^2-11\,A\,c^2\,d^2\right)}{16\,a\,c^2}-\frac{x^3\,\left(-C\,a^2\,e^2+C\,a\,c\,d^2+2\,B\,a\,c\,d\,e+A\,a\,c\,e^2+5\,A\,c^2\,d^2\right)}{6\,a^2\,c}}{a^3+3\,a^2\,c\,x^2+3\,a\,c^2\,x^4+c^3\,x^6}","Not used",1,"(atan((c^(1/2)*x)/a^(1/2))*(5*A*c^2*d^2 + C*a^2*e^2 + A*a*c*e^2 + C*a*c*d^2 + 2*B*a*c*d*e))/(16*a^(7/2)*c^(5/2)) - ((B*a*e^2 + 2*B*c*d^2 + 4*A*c*d*e + 2*C*a*d*e)/(12*c^2) - (x^5*(5*A*c^2*d^2 + C*a^2*e^2 + A*a*c*e^2 + C*a*c*d^2 + 2*B*a*c*d*e))/(16*a^3) + (x^2*(B*e^2 + 2*C*d*e))/(4*c) + (x*(C*a^2*e^2 - 11*A*c^2*d^2 + A*a*c*e^2 + C*a*c*d^2 + 2*B*a*c*d*e))/(16*a*c^2) - (x^3*(5*A*c^2*d^2 - C*a^2*e^2 + A*a*c*e^2 + C*a*c*d^2 + 2*B*a*c*d*e))/(6*a^2*c))/(a^3 + c^3*x^6 + 3*a^2*c*x^2 + 3*a*c^2*x^4)","B"
67,1,164,165,3.936325,"\text{Not used}","int(((d + e*x)*(A + B*x + C*x^2))/(a + c*x^2)^4,x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(5\,A\,c\,d+B\,a\,e+C\,a\,d\right)}{16\,a^{7/2}\,c^{3/2}}-\frac{\frac{2\,A\,c\,e+2\,B\,c\,d+C\,a\,e}{12\,c^2}-\frac{x^3\,\left(5\,A\,c\,d+B\,a\,e+C\,a\,d\right)}{6\,a^2}+\frac{C\,e\,x^2}{4\,c}+\frac{x\,\left(B\,a\,e-11\,A\,c\,d+C\,a\,d\right)}{16\,a\,c}-\frac{c\,x^5\,\left(5\,A\,c\,d+B\,a\,e+C\,a\,d\right)}{16\,a^3}}{a^3+3\,a^2\,c\,x^2+3\,a\,c^2\,x^4+c^3\,x^6}","Not used",1,"(atan((c^(1/2)*x)/a^(1/2))*(5*A*c*d + B*a*e + C*a*d))/(16*a^(7/2)*c^(3/2)) - ((2*A*c*e + 2*B*c*d + C*a*e)/(12*c^2) - (x^3*(5*A*c*d + B*a*e + C*a*d))/(6*a^2) + (C*e*x^2)/(4*c) + (x*(B*a*e - 11*A*c*d + C*a*d))/(16*a*c) - (c*x^5*(5*A*c*d + B*a*e + C*a*d))/(16*a^3))/(a^3 + c^3*x^6 + 3*a^2*c*x^2 + 3*a*c^2*x^4)","B"
68,1,116,126,3.894954,"\text{Not used}","int((A + B*x + C*x^2)/(a + c*x^2)^4,x)","\frac{\frac{x^3\,\left(5\,A\,c+C\,a\right)}{6\,a^2}-\frac{B}{6\,c}+\frac{c\,x^5\,\left(5\,A\,c+C\,a\right)}{16\,a^3}+\frac{x\,\left(11\,A\,c-C\,a\right)}{16\,a\,c}}{a^3+3\,a^2\,c\,x^2+3\,a\,c^2\,x^4+c^3\,x^6}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)\,\left(5\,A\,c+C\,a\right)}{16\,a^{7/2}\,c^{3/2}}","Not used",1,"((x^3*(5*A*c + C*a))/(6*a^2) - B/(6*c) + (c*x^5*(5*A*c + C*a))/(16*a^3) + (x*(11*A*c - C*a))/(16*a*c))/(a^3 + c^3*x^6 + 3*a^2*c*x^2 + 3*a*c^2*x^4) + (atan((c^(1/2)*x)/a^(1/2))*(5*A*c + C*a))/(16*a^(7/2)*c^(3/2))","B"
69,1,30,43,0.035179,"\text{Not used}","int((x^3*(x + x^2 + 1))/(x^2 + 1)^2,x)","x-\frac{\ln\left(x^2+1\right)}{2}-\frac{3\,\mathrm{atan}\left(x\right)}{2}+\frac{x}{2\,\left(x^2+1\right)}+\frac{x^2}{2}","Not used",1,"x - log(x^2 + 1)/2 - (3*atan(x))/2 + x/(2*(x^2 + 1)) + x^2/2","B"
70,1,23,30,0.034999,"\text{Not used}","int((x^2*(x + x^2 + 1))/(x^2 + 1)^2,x)","x+\frac{\ln\left(x^2+1\right)}{2}-\mathrm{atan}\left(x\right)+\frac{1}{2\,\left(x^2+1\right)}","Not used",1,"x + log(x^2 + 1)/2 - atan(x) + 1/(2*(x^2 + 1))","B"
71,1,25,29,0.031024,"\text{Not used}","int((x*(x + x^2 + 1))/(x^2 + 1)^2,x)","\frac{\ln\left(x^2+1\right)}{2}+\frac{\mathrm{atan}\left(x\right)}{2}-\frac{x}{2\,\left(x^2+1\right)}","Not used",1,"log(x^2 + 1)/2 + atan(x)/2 - x/(2*(x^2 + 1))","B"
72,1,14,14,3.797462,"\text{Not used}","int((x + x^2 + 1)/(x^2 + 1)^2,x)","\mathrm{atan}\left(x\right)-\frac{1}{2\,\left(x^2+1\right)}","Not used",1,"atan(x) - 1/(2*(x^2 + 1))","B"
73,1,32,31,0.041900,"\text{Not used}","int((x + x^2 + 1)/(x*(x^2 + 1)^2),x)","\ln\left(x\right)+\frac{x}{2\,\left(x^2+1\right)}+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{2}-\frac{1}{4}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"log(x) - log(x + 1i)*(1/2 - 1i/4) - log(x - 1i)*(1/2 + 1i/4) + x/(2*(x^2 + 1))","B"
74,1,38,33,3.808272,"\text{Not used}","int((x + x^2 + 1)/(x^2*(x^2 + 1)^2),x)","\ln\left(x\right)-\frac{x^2-\frac{x}{2}+1}{x^3+x}+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"log(x) - log(x + 1i)*(1/2 + 1i/2) - log(x - 1i)*(1/2 - 1i/2) - (x^2 - x/2 + 1)/(x + x^3)","B"
75,1,47,45,0.037971,"\text{Not used}","int((x + x^2 + 1)/(x^3*(x^2 + 1)^2),x)","-\ln\left(x\right)-\frac{\frac{3\,x^3}{2}+\frac{x^2}{2}+x+\frac{1}{2}}{x^4+x^2}+\ln\left(x-\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{3}{4}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(\frac{1}{2}-\frac{3}{4}{}\mathrm{i}\right)","Not used",1,"log(x - 1i)*(1/2 + 3i/4) + log(x + 1i)*(1/2 - 3i/4) - log(x) - (x + x^2/2 + (3*x^3)/2 + 1/2)/(x^2 + x^4)","B"
76,1,12,12,0.030585,"\text{Not used}","int((2*x + x^2 + 1)/(x^2 + 1)^2,x)","\mathrm{atan}\left(x\right)-\frac{1}{x^2+1}","Not used",1,"atan(x) - 1/(x^2 + 1)","B"
77,1,21,27,3.830334,"\text{Not used}","int((12*x + 3*x^2 + 2)/(x^2 + 4)^2,x)","\frac{7\,\mathrm{atan}\left(\frac{x}{2}\right)}{8}-\frac{\frac{5\,x}{4}+6}{x^2+4}","Not used",1,"(7*atan(x/2))/8 - ((5*x)/4 + 6)/(x^2 + 4)","B"
78,0,-1,390,0.000000,"\text{Not used}","int((g + h*x)^3*(a + c*x^2)^(1/2)*(d + e*x + f*x^2),x)","\int {\left(g+h\,x\right)}^3\,\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((g + h*x)^3*(a + c*x^2)^(1/2)*(d + e*x + f*x^2), x)","F"
79,0,-1,280,0.000000,"\text{Not used}","int((g + h*x)^2*(a + c*x^2)^(1/2)*(d + e*x + f*x^2),x)","\int {\left(g+h\,x\right)}^2\,\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((g + h*x)^2*(a + c*x^2)^(1/2)*(d + e*x + f*x^2), x)","F"
80,0,-1,175,0.000000,"\text{Not used}","int((g + h*x)*(a + c*x^2)^(1/2)*(d + e*x + f*x^2),x)","\int \left(g+h\,x\right)\,\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((g + h*x)*(a + c*x^2)^(1/2)*(d + e*x + f*x^2), x)","F"
81,0,-1,106,0.000000,"\text{Not used}","int((a + c*x^2)^(1/2)*(d + e*x + f*x^2),x)","\int \sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((a + c*x^2)^(1/2)*(d + e*x + f*x^2), x)","F"
82,0,-1,206,0.000000,"\text{Not used}","int(((a + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x),x)","\int \frac{\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right)}{g+h\,x} \,d x","Not used",1,"int(((a + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x), x)","F"
83,0,-1,308,0.000000,"\text{Not used}","int(((a + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^2,x)","\int \frac{\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^2} \,d x","Not used",1,"int(((a + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^2, x)","F"
84,0,-1,296,0.000000,"\text{Not used}","int(((a + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^3,x)","\int \frac{\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^3} \,d x","Not used",1,"int(((a + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^3, x)","F"
85,0,-1,314,0.000000,"\text{Not used}","int(((a + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^4,x)","\int \frac{\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^4} \,d x","Not used",1,"int(((a + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^4, x)","F"
86,0,-1,313,0.000000,"\text{Not used}","int(((a + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^5,x)","\int \frac{\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^5} \,d x","Not used",1,"int(((a + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^5, x)","F"
87,0,-1,433,0.000000,"\text{Not used}","int(((a + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^6,x)","\int \frac{\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^6} \,d x","Not used",1,"int(((a + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^6, x)","F"
88,0,-1,462,0.000000,"\text{Not used}","int((g + h*x)^3*(a + c*x^2)^(3/2)*(d + e*x + f*x^2),x)","\int {\left(g+h\,x\right)}^3\,{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((g + h*x)^3*(a + c*x^2)^(3/2)*(d + e*x + f*x^2), x)","F"
89,0,-1,346,0.000000,"\text{Not used}","int((g + h*x)^2*(a + c*x^2)^(3/2)*(d + e*x + f*x^2),x)","\int {\left(g+h\,x\right)}^2\,{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((g + h*x)^2*(a + c*x^2)^(3/2)*(d + e*x + f*x^2), x)","F"
90,0,-1,213,0.000000,"\text{Not used}","int((g + h*x)*(a + c*x^2)^(3/2)*(d + e*x + f*x^2),x)","\int \left(g+h\,x\right)\,{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((g + h*x)*(a + c*x^2)^(3/2)*(d + e*x + f*x^2), x)","F"
91,0,-1,137,0.000000,"\text{Not used}","int((a + c*x^2)^(3/2)*(d + e*x + f*x^2),x)","\int {\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((a + c*x^2)^(3/2)*(d + e*x + f*x^2), x)","F"
92,0,-1,326,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x),x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{g+h\,x} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x), x)","F"
93,0,-1,432,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^2,x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^2} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^2, x)","F"
94,0,-1,488,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^3,x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^3} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^3, x)","F"
95,0,-1,475,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^4,x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^4} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^4, x)","F"
96,0,-1,511,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^5,x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^5} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^5, x)","F"
97,0,-1,507,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^6,x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^6} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^6, x)","F"
98,0,-1,404,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^7,x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^7} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^7, x)","F"
99,0,-1,532,0.000000,"\text{Not used}","int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^8,x)","\int \frac{{\left(c\,x^2+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^8} \,d x","Not used",1,"int(((a + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^8, x)","F"
100,0,-1,168,0.000000,"\text{Not used}","int((a + c*x^2)^(5/2)*(A + B*x + C*x^2),x)","\int {\left(c\,x^2+a\right)}^{5/2}\,\left(C\,x^2+B\,x+A\right) \,d x","Not used",1,"int((a + c*x^2)^(5/2)*(A + B*x + C*x^2), x)","F"
101,0,-1,325,0.000000,"\text{Not used}","int(((g + h*x)^3*(d + e*x + f*x^2))/(a + c*x^2)^(1/2),x)","\int \frac{{\left(g+h\,x\right)}^3\,\left(f\,x^2+e\,x+d\right)}{\sqrt{c\,x^2+a}} \,d x","Not used",1,"int(((g + h*x)^3*(d + e*x + f*x^2))/(a + c*x^2)^(1/2), x)","F"
102,0,-1,223,0.000000,"\text{Not used}","int(((g + h*x)^2*(d + e*x + f*x^2))/(a + c*x^2)^(1/2),x)","\int \frac{{\left(g+h\,x\right)}^2\,\left(f\,x^2+e\,x+d\right)}{\sqrt{c\,x^2+a}} \,d x","Not used",1,"int(((g + h*x)^2*(d + e*x + f*x^2))/(a + c*x^2)^(1/2), x)","F"
103,1,227,136,5.171057,"\text{Not used}","int(((g + h*x)*(d + e*x + f*x^2))/(a + c*x^2)^(1/2),x)","\left\{\begin{array}{cl} \frac{2\,f\,g\,x^3+3\,e\,g\,x^2+6\,d\,g\,x}{6\,\sqrt{a}}+\frac{3\,f\,h\,x^4+4\,e\,h\,x^3+6\,d\,h\,x^2}{12\,\sqrt{a}} & \text{\ if\ \ }c=0\\ \frac{d\,g\,\ln\left(\sqrt{c}\,x+\sqrt{c\,x^2+a}\right)}{\sqrt{c}}+\frac{d\,h\,\sqrt{c\,x^2+a}}{c}+\frac{e\,g\,\sqrt{c\,x^2+a}}{c}+\frac{e\,h\,x\,\sqrt{c\,x^2+a}}{2\,c}+\frac{f\,g\,x\,\sqrt{c\,x^2+a}}{2\,c}-\frac{f\,h\,\sqrt{c\,x^2+a}\,\left(2\,a-c\,x^2\right)}{3\,c^2}-\frac{a\,e\,h\,\ln\left(2\,\sqrt{c}\,x+2\,\sqrt{c\,x^2+a}\right)}{2\,c^{3/2}}-\frac{a\,f\,g\,\ln\left(2\,\sqrt{c}\,x+2\,\sqrt{c\,x^2+a}\right)}{2\,c^{3/2}} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, (3*e*g*x^2 + 2*f*g*x^3 + 6*d*g*x)/(6*a^(1/2)) + (6*d*h*x^2 + 4*e*h*x^3 + 3*f*h*x^4)/(12*a^(1/2)), c ~= 0, (d*g*log(c^(1/2)*x + (a + c*x^2)^(1/2)))/c^(1/2) + (d*h*(a + c*x^2)^(1/2))/c + (e*g*(a + c*x^2)^(1/2))/c + (e*h*x*(a + c*x^2)^(1/2))/(2*c) + (f*g*x*(a + c*x^2)^(1/2))/(2*c) - (f*h*(a + c*x^2)^(1/2)*(2*a - c*x^2))/(3*c^2) - (a*e*h*log(2*c^(1/2)*x + 2*(a + c*x^2)^(1/2)))/(2*c^(3/2)) - (a*f*g*log(2*c^(1/2)*x + 2*(a + c*x^2)^(1/2)))/(2*c^(3/2)))","B"
104,1,107,74,4.559368,"\text{Not used}","int((d + e*x + f*x^2)/(a + c*x^2)^(1/2),x)","\left\{\begin{array}{cl} \frac{2\,f\,x^3+3\,e\,x^2+6\,d\,x}{6\,\sqrt{a}} & \text{\ if\ \ }c=0\\ \frac{e\,\sqrt{c\,x^2+a}}{c}+\frac{d\,\ln\left(\sqrt{c}\,x+\sqrt{c\,x^2+a}\right)}{\sqrt{c}}-\frac{a\,f\,\ln\left(2\,\sqrt{c}\,x+2\,\sqrt{c\,x^2+a}\right)}{2\,c^{3/2}}+\frac{f\,x\,\sqrt{c\,x^2+a}}{2\,c} & \text{\ if\ \ }c\neq 0 \end{array}\right.","Not used",1,"piecewise(c == 0, (6*d*x + 3*e*x^2 + 2*f*x^3)/(6*a^(1/2)), c ~= 0, (e*(a + c*x^2)^(1/2))/c + (d*log(c^(1/2)*x + (a + c*x^2)^(1/2)))/c^(1/2) - (a*f*log(2*c^(1/2)*x + 2*(a + c*x^2)^(1/2)))/(2*c^(3/2)) + (f*x*(a + c*x^2)^(1/2))/(2*c))","B"
105,0,-1,130,0.000000,"\text{Not used}","int((d + e*x + f*x^2)/((g + h*x)*(a + c*x^2)^(1/2)),x)","\int \frac{f\,x^2+e\,x+d}{\left(g+h\,x\right)\,\sqrt{c\,x^2+a}} \,d x","Not used",1,"int((d + e*x + f*x^2)/((g + h*x)*(a + c*x^2)^(1/2)), x)","F"
106,0,-1,168,0.000000,"\text{Not used}","int((d + e*x + f*x^2)/((g + h*x)^2*(a + c*x^2)^(1/2)),x)","\int \frac{f\,x^2+e\,x+d}{{\left(g+h\,x\right)}^2\,\sqrt{c\,x^2+a}} \,d x","Not used",1,"int((d + e*x + f*x^2)/((g + h*x)^2*(a + c*x^2)^(1/2)), x)","F"
107,0,-1,225,0.000000,"\text{Not used}","int((d + e*x + f*x^2)/((g + h*x)^3*(a + c*x^2)^(1/2)),x)","\int \frac{f\,x^2+e\,x+d}{{\left(g+h\,x\right)}^3\,\sqrt{c\,x^2+a}} \,d x","Not used",1,"int((d + e*x + f*x^2)/((g + h*x)^3*(a + c*x^2)^(1/2)), x)","F"
108,0,-1,229,0.000000,"\text{Not used}","int(((g + h*x)^3*(d + e*x + f*x^2))/(a + c*x^2)^(3/2),x)","\int \frac{{\left(g+h\,x\right)}^3\,\left(f\,x^2+e\,x+d\right)}{{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(((g + h*x)^3*(d + e*x + f*x^2))/(a + c*x^2)^(3/2), x)","F"
109,0,-1,149,0.000000,"\text{Not used}","int(((g + h*x)^2*(d + e*x + f*x^2))/(a + c*x^2)^(3/2),x)","\int \frac{{\left(g+h\,x\right)}^2\,\left(f\,x^2+e\,x+d\right)}{{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int(((g + h*x)^2*(d + e*x + f*x^2))/(a + c*x^2)^(3/2), x)","F"
110,1,151,100,5.280125,"\text{Not used}","int(((g + h*x)*(d + e*x + f*x^2))/(a + c*x^2)^(3/2),x)","\frac{e\,h\,\ln\left(\sqrt{c}\,x+\sqrt{c\,x^2+a}\right)}{c^{3/2}}+\frac{f\,g\,\ln\left(\sqrt{c}\,x+\sqrt{c\,x^2+a}\right)}{c^{3/2}}-\frac{d\,h}{c\,\sqrt{c\,x^2+a}}-\frac{e\,g}{c\,\sqrt{c\,x^2+a}}+\frac{d\,g\,x}{a\,\sqrt{c\,x^2+a}}-\frac{e\,h\,x}{c\,\sqrt{c\,x^2+a}}-\frac{f\,g\,x}{c\,\sqrt{c\,x^2+a}}+\frac{f\,h\,\left(c\,x^2+2\,a\right)}{c^2\,\sqrt{c\,x^2+a}}","Not used",1,"(e*h*log(c^(1/2)*x + (a + c*x^2)^(1/2)))/c^(3/2) + (f*g*log(c^(1/2)*x + (a + c*x^2)^(1/2)))/c^(3/2) - (d*h)/(c*(a + c*x^2)^(1/2)) - (e*g)/(c*(a + c*x^2)^(1/2)) + (d*g*x)/(a*(a + c*x^2)^(1/2)) - (e*h*x)/(c*(a + c*x^2)^(1/2)) - (f*g*x)/(c*(a + c*x^2)^(1/2)) + (f*h*(2*a + c*x^2))/(c^2*(a + c*x^2)^(1/2))","B"
111,1,68,61,4.332446,"\text{Not used}","int((d + e*x + f*x^2)/(a + c*x^2)^(3/2),x)","\frac{f\,\ln\left(\sqrt{c}\,x+\sqrt{c\,x^2+a}\right)}{c^{3/2}}-\frac{e}{c\,\sqrt{c\,x^2+a}}+\frac{d\,x}{a\,\sqrt{c\,x^2+a}}-\frac{f\,x}{c\,\sqrt{c\,x^2+a}}","Not used",1,"(f*log(c^(1/2)*x + (a + c*x^2)^(1/2)))/c^(3/2) - e/(c*(a + c*x^2)^(1/2)) + (d*x)/(a*(a + c*x^2)^(1/2)) - (f*x)/(c*(a + c*x^2)^(1/2))","B"
112,0,-1,138,0.000000,"\text{Not used}","int((d + e*x + f*x^2)/((g + h*x)*(a + c*x^2)^(3/2)),x)","\int \frac{f\,x^2+e\,x+d}{\left(g+h\,x\right)\,{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((d + e*x + f*x^2)/((g + h*x)*(a + c*x^2)^(3/2)), x)","F"
113,0,-1,239,0.000000,"\text{Not used}","int((d + e*x + f*x^2)/((g + h*x)^2*(a + c*x^2)^(3/2)),x)","\int \frac{f\,x^2+e\,x+d}{{\left(g+h\,x\right)}^2\,{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((d + e*x + f*x^2)/((g + h*x)^2*(a + c*x^2)^(3/2)), x)","F"
114,0,-1,374,0.000000,"\text{Not used}","int((d + e*x + f*x^2)/((g + h*x)^3*(a + c*x^2)^(3/2)),x)","\int \frac{f\,x^2+e\,x+d}{{\left(g+h\,x\right)}^3\,{\left(c\,x^2+a\right)}^{3/2}} \,d x","Not used",1,"int((d + e*x + f*x^2)/((g + h*x)^3*(a + c*x^2)^(3/2)), x)","F"
115,1,59,67,4.221773,"\text{Not used}","int((A + B*x + C*x^2)/(a + c*x^2)^(5/2),x)","\frac{2\,A\,c\,x\,\left(c\,x^2+a\right)-C\,a^2\,x-B\,a^2+C\,a\,x\,\left(c\,x^2+a\right)+A\,a\,c\,x}{3\,a^2\,c\,{\left(c\,x^2+a\right)}^{3/2}}","Not used",1,"(2*A*c*x*(a + c*x^2) - C*a^2*x - B*a^2 + C*a*x*(a + c*x^2) + A*a*c*x)/(3*a^2*c*(a + c*x^2)^(3/2))","B"
116,1,93,97,4.280833,"\text{Not used}","int((A + B*x + C*x^2)/(a + c*x^2)^(7/2),x)","\frac{8\,A\,c\,x\,{\left(c\,x^2+a\right)}^2-3\,C\,a^3\,x-3\,B\,a^3+2\,C\,a\,x\,{\left(c\,x^2+a\right)}^2+C\,a^2\,x\,\left(c\,x^2+a\right)+3\,A\,a^2\,c\,x+4\,A\,a\,c\,x\,\left(c\,x^2+a\right)}{15\,a^3\,c\,{\left(c\,x^2+a\right)}^{5/2}}","Not used",1,"(8*A*c*x*(a + c*x^2)^2 - 3*C*a^3*x - 3*B*a^3 + 2*C*a*x*(a + c*x^2)^2 + C*a^2*x*(a + c*x^2) + 3*A*a^2*c*x + 4*A*a*c*x*(a + c*x^2))/(15*a^3*c*(a + c*x^2)^(5/2))","B"
117,1,115,127,4.374961,"\text{Not used}","int((A + B*x + C*x^2)/(a + c*x^2)^(9/2),x)","\frac{x\,\left(6\,A\,c+C\,a\right)}{35\,a^2\,c\,{\left(c\,x^2+a\right)}^{5/2}}-\frac{\frac{B}{7\,c}-x\,\left(\frac{A}{7\,a}-\frac{C}{7\,c}\right)}{{\left(c\,x^2+a\right)}^{7/2}}+\frac{x\,\left(24\,A\,c+4\,C\,a\right)}{105\,a^3\,c\,{\left(c\,x^2+a\right)}^{3/2}}+\frac{x\,\left(48\,A\,c+8\,C\,a\right)}{105\,a^4\,c\,\sqrt{c\,x^2+a}}","Not used",1,"(x*(6*A*c + C*a))/(35*a^2*c*(a + c*x^2)^(5/2)) - (B/(7*c) - x*(A/(7*a) - C/(7*c)))/(a + c*x^2)^(7/2) + (x*(24*A*c + 4*C*a))/(105*a^3*c*(a + c*x^2)^(3/2)) + (x*(48*A*c + 8*C*a))/(105*a^4*c*(a + c*x^2)^(1/2))","B"
118,1,45,106,0.050480,"\text{Not used}","int(((2*x + 1)^3*(3*x + 4*x^2 + 1))/(3*x^2 + 2)^(1/2),x)","\frac{5\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{9}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{32\,x^4}{5}+18\,x^3+\frac{764\,x^2}{45}-x-\frac{1841}{135}\right)}{3}","Not used",1,"(5*3^(1/2)*asinh((6^(1/2)*x)/2))/9 + (3^(1/2)*(x^2 + 2/3)^(1/2)*((764*x^2)/45 - x + 18*x^3 + (32*x^4)/5 - 1841/135))/3","B"
119,1,40,82,4.098523,"\text{Not used}","int(((2*x + 1)^2*(3*x + 4*x^2 + 1))/(3*x^2 + 2)^(1/2),x)","\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(4\,x^3+\frac{28\,x^2}{3}+6\,x-\frac{49}{9}\right)}{3}-\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)","Not used",1,"(3^(1/2)*(x^2 + 2/3)^(1/2)*(6*x + (28*x^2)/3 + 4*x^3 - 49/9))/3 - 3^(1/2)*asinh((6^(1/2)*x)/2)","B"
120,1,35,62,0.033918,"\text{Not used}","int(((2*x + 1)*(3*x + 4*x^2 + 1))/(3*x^2 + 2)^(1/2),x)","\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{8\,x^2}{3}+5\,x+\frac{13}{9}\right)}{3}-\frac{7\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{6}\,x}{2}\right)}{9}","Not used",1,"(3^(1/2)*(x^2 + 2/3)^(1/2)*(5*x + (8*x^2)/3 + 13/9))/3 - (7*3^(1/2)*asinh((6^(1/2)*x)/2))/9","B"
121,1,61,67,0.188514,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)*(3*x^2 + 2)^(1/2)),x)","\frac{\sqrt{11}\,\left(2\,\ln\left(x+\frac{1}{2}\right)-2\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{11}\,\sqrt{x^2+\frac{2}{3}}}{3}-\frac{4}{3}\right)\right)}{44}+\frac{2\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{3}+\frac{\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{6}","Not used",1,"(11^(1/2)*(2*log(x + 1/2) - 2*log(x - (3^(1/2)*11^(1/2)*(x^2 + 2/3)^(1/2))/3 - 4/3)))/44 + (2*3^(1/2)*(x^2 + 2/3)^(1/2))/3 + (3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/6","B"
122,1,68,71,0.114621,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)^2*(3*x^2 + 2)^(1/2)),x)","\frac{\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{3}-\frac{4\,\sqrt{11}\,\ln\left(x+\frac{1}{2}\right)}{121}+\frac{4\,\sqrt{11}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{11}\,\sqrt{x^2+\frac{2}{3}}}{3}-\frac{4}{3}\right)}{121}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{22\,\left(x+\frac{1}{2}\right)}","Not used",1,"(3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/3 - (4*11^(1/2)*log(x + 1/2))/121 + (4*11^(1/2)*log(x - (3^(1/2)*11^(1/2)*(x^2 + 2/3)^(1/2))/3 - 4/3))/121 - (3^(1/2)*(x^2 + 2/3)^(1/2))/(22*(x + 1/2))","B"
123,1,77,77,0.111213,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)^3*(3*x^2 + 2)^(1/2)),x)","\frac{103\,\sqrt{11}\,\ln\left(x+\frac{1}{2}\right)}{1331}-\frac{103\,\sqrt{11}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{11}\,\sqrt{x^2+\frac{2}{3}}}{3}-\frac{4}{3}\right)}{1331}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{88\,\left(x^2+x+\frac{1}{4}\right)}+\frac{13\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{484\,\left(x+\frac{1}{2}\right)}","Not used",1,"(103*11^(1/2)*log(x + 1/2))/1331 - (103*11^(1/2)*log(x - (3^(1/2)*11^(1/2)*(x^2 + 2/3)^(1/2))/3 - 4/3))/1331 - (3^(1/2)*(x^2 + 2/3)^(1/2))/(88*(x + x^2 + 1/4)) + (13*3^(1/2)*(x^2 + 2/3)^(1/2))/(484*(x + 1/2))","B"
124,1,110,87,0.058533,"\text{Not used}","int(((2*x + 1)^3*(3*x + 4*x^2 + 1))/(3*x^2 + 2)^(3/2),x)","\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{32\,x^2}{9}+12\,x+\frac{292}{27}\right)}{3}-\frac{38\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{9}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-1194+\sqrt{6}\,279{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{1944\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(1194+\sqrt{6}\,279{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{1944\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(3^(1/2)*(x^2 + 2/3)^(1/2)*(12*x + (32*x^2)/9 + 292/27))/3 - (38*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/9 - (3^(1/2)*6^(1/2)*(6^(1/2)*279i - 1194)*(x^2 + 2/3)^(1/2)*1i)/(1944*(x + (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*279i + 1194)*(x^2 + 2/3)^(1/2)*1i)/(1944*(x - (6^(1/2)*1i)/3))","B"
125,1,105,71,4.066593,"\text{Not used}","int(((2*x + 1)^2*(3*x + 4*x^2 + 1))/(3*x^2 + 2)^(3/2),x)","\frac{4\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{9}+\frac{\sqrt{3}\,\left(\frac{8\,x}{3}+\frac{28}{3}\right)\,\sqrt{x^2+\frac{2}{3}}}{3}+\frac{\sqrt{3}\,\sqrt{6}\,\left(-630+\sqrt{6}\,141{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{1944\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\left(630+\sqrt{6}\,141{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{1944\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(4*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/9 + (3^(1/2)*((8*x)/3 + 28/3)*(x^2 + 2/3)^(1/2))/3 + (3^(1/2)*6^(1/2)*(6^(1/2)*141i - 630)*(x^2 + 2/3)^(1/2)*1i)/(1944*(x - (6^(1/2)*1i)/3)) + (3^(1/2)*6^(1/2)*(6^(1/2)*141i + 630)*(x^2 + 2/3)^(1/2)*1i)/(1944*(x + (6^(1/2)*1i)/3))","B"
126,1,100,55,0.037187,"\text{Not used}","int(((2*x + 1)*(3*x + 4*x^2 + 1))/(3*x^2 + 2)^(3/2),x)","\frac{8\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{9}+\frac{10\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{9}+\frac{\sqrt{3}\,\sqrt{6}\,\left(-6+\sqrt{6}\,51{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{648\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\left(6+\sqrt{6}\,51{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{648\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(8*3^(1/2)*(x^2 + 2/3)^(1/2))/9 + (10*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/9 + (3^(1/2)*6^(1/2)*(6^(1/2)*51i - 6)*(x^2 + 2/3)^(1/2)*1i)/(648*(x - (6^(1/2)*1i)/3)) + (3^(1/2)*6^(1/2)*(6^(1/2)*51i + 6)*(x^2 + 2/3)^(1/2)*1i)/(648*(x + (6^(1/2)*1i)/3))","B"
127,1,106,53,0.135647,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)*(3*x^2 + 2)^(3/2)),x)","\frac{\sqrt{11}\,\left(2\,\ln\left(x+\frac{1}{2}\right)-2\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{11}\,\sqrt{x^2+\frac{2}{3}}}{3}-\frac{4}{3}\right)\right)}{121}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-114+\sqrt{6}\,21{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{2376\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(114+\sqrt{6}\,21{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{2376\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(11^(1/2)*(2*log(x + 1/2) - 2*log(x - (3^(1/2)*11^(1/2)*(x^2 + 2/3)^(1/2))/3 - 4/3)))/121 - (3^(1/2)*6^(1/2)*(6^(1/2)*21i - 114)*(x^2 + 2/3)^(1/2)*1i)/(2376*(x - (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*21i + 114)*(x^2 + 2/3)^(1/2)*1i)/(2376*(x + (6^(1/2)*1i)/3))","B"
128,1,157,75,4.144674,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)^2*(3*x^2 + 2)^(3/2)),x)","\frac{4\,\sqrt{11}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{11}\,\sqrt{x^2+\frac{2}{3}}}{3}-\frac{4}{3}\right)}{1331}-\frac{4\,\sqrt{11}\,\ln\left(x+\frac{1}{2}\right)}{1331}+\frac{97\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1452\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{97\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1452\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{2\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{121\,\left(x+\frac{1}{2}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,5{}\mathrm{i}}{1452\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,5{}\mathrm{i}}{1452\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(4*11^(1/2)*log(x - (3^(1/2)*11^(1/2)*(x^2 + 2/3)^(1/2))/3 - 4/3))/1331 - (4*11^(1/2)*log(x + 1/2))/1331 + (97*3^(1/2)*(x^2 + 2/3)^(1/2))/(1452*(x - (6^(1/2)*1i)/3)) + (97*3^(1/2)*(x^2 + 2/3)^(1/2))/(1452*(x + (6^(1/2)*1i)/3)) - (2*3^(1/2)*(x^2 + 2/3)^(1/2))/(121*(x + 1/2)) + (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*5i)/(1452*(x - (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*5i)/(1452*(x + (6^(1/2)*1i)/3))","B"
129,1,180,97,4.169416,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)^3*(3*x^2 + 2)^(3/2)),x)","\frac{322\,\sqrt{11}\,\ln\left(x+\frac{1}{2}\right)}{14641}-\frac{322\,\sqrt{11}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{11}\,\sqrt{x^2+\frac{2}{3}}}{3}-\frac{4}{3}\right)}{14641}+\frac{117\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{5324\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{117\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{5324\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{242\,\left(x^2+x+\frac{1}{4}\right)}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1331\,\left(x+\frac{1}{2}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,179{}\mathrm{i}}{15972\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,179{}\mathrm{i}}{15972\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(322*11^(1/2)*log(x + 1/2))/14641 - (322*11^(1/2)*log(x - (3^(1/2)*11^(1/2)*(x^2 + 2/3)^(1/2))/3 - 4/3))/14641 + (117*3^(1/2)*(x^2 + 2/3)^(1/2))/(5324*(x - (6^(1/2)*1i)/3)) + (117*3^(1/2)*(x^2 + 2/3)^(1/2))/(5324*(x + (6^(1/2)*1i)/3)) - (3^(1/2)*(x^2 + 2/3)^(1/2))/(242*(x + x^2 + 1/4)) + (3^(1/2)*(x^2 + 2/3)^(1/2))/(1331*(x + 1/2)) - (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*179i)/(15972*(x - (6^(1/2)*1i)/3)) + (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*179i)/(15972*(x + (6^(1/2)*1i)/3))","B"
130,1,212,73,0.057251,"\text{Not used}","int(((2*x + 1)^3*(3*x + 4*x^2 + 1))/(3*x^2 + 2)^(5/2),x)","\frac{32\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{27}+\frac{8\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{3}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{-\frac{31}{16}+\frac{\sqrt{6}\,199{}\mathrm{i}}{144}}{x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}-\frac{\sqrt{6}\,\left(-\frac{31}{24}+\frac{\sqrt{6}\,199{}\mathrm{i}}{216}\right)\,1{}\mathrm{i}}{2\,{\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{\frac{31}{16}+\frac{\sqrt{6}\,199{}\mathrm{i}}{144}}{x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}+\frac{\sqrt{6}\,\left(\frac{31}{24}+\frac{\sqrt{6}\,199{}\mathrm{i}}{216}\right)\,1{}\mathrm{i}}{2\,{\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{6}\,\left(-1824+\sqrt{6}\,1953{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{7776\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\left(1824+\sqrt{6}\,1953{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{7776\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(32*3^(1/2)*(x^2 + 2/3)^(1/2))/27 + (8*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/3 - (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*199i)/144 - 31/16)/(x - (6^(1/2)*1i)/3) - (6^(1/2)*((6^(1/2)*199i)/216 - 31/24)*1i)/(2*(x - (6^(1/2)*1i)/3)^2)))/27 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*199i)/144 + 31/16)/(x + (6^(1/2)*1i)/3) + (6^(1/2)*((6^(1/2)*199i)/216 + 31/24)*1i)/(2*(x + (6^(1/2)*1i)/3)^2)))/27 + (3^(1/2)*6^(1/2)*(6^(1/2)*1953i - 1824)*(x^2 + 2/3)^(1/2)*1i)/(7776*(x + (6^(1/2)*1i)/3)) + (3^(1/2)*6^(1/2)*(6^(1/2)*1953i + 1824)*(x^2 + 2/3)^(1/2)*1i)/(7776*(x - (6^(1/2)*1i)/3))","B"
131,1,200,60,0.050002,"\text{Not used}","int(((2*x + 1)^2*(3*x + 4*x^2 + 1))/(3*x^2 + 2)^(5/2),x)","\frac{16\,\sqrt{3}\,\mathrm{asinh}\left(\frac{\sqrt{2}\,\sqrt{3}\,x}{2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{-\frac{47}{48}+\frac{\sqrt{6}\,35{}\mathrm{i}}{48}}{x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}+\frac{\sqrt{6}\,\left(-\frac{47}{72}+\frac{\sqrt{6}\,35{}\mathrm{i}}{72}\right)\,1{}\mathrm{i}}{2\,{\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{\frac{47}{48}+\frac{\sqrt{6}\,35{}\mathrm{i}}{48}}{x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}-\frac{\sqrt{6}\,\left(\frac{47}{72}+\frac{\sqrt{6}\,35{}\mathrm{i}}{72}\right)\,1{}\mathrm{i}}{2\,{\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{6}\,\left(-672+\sqrt{6}\,63{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{2592\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\left(672+\sqrt{6}\,63{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{2592\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(16*3^(1/2)*asinh((2^(1/2)*3^(1/2)*x)/2))/27 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*35i)/48 - 47/48)/(x + (6^(1/2)*1i)/3) + (6^(1/2)*((6^(1/2)*35i)/72 - 47/72)*1i)/(2*(x + (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*35i)/48 + 47/48)/(x - (6^(1/2)*1i)/3) - (6^(1/2)*((6^(1/2)*35i)/72 + 47/72)*1i)/(2*(x - (6^(1/2)*1i)/3)^2)))/27 + (3^(1/2)*6^(1/2)*(6^(1/2)*63i - 672)*(x^2 + 2/3)^(1/2)*1i)/(2592*(x + (6^(1/2)*1i)/3)) + (3^(1/2)*6^(1/2)*(6^(1/2)*63i + 672)*(x^2 + 2/3)^(1/2)*1i)/(2592*(x - (6^(1/2)*1i)/3))","B"
132,1,185,41,4.107066,"\text{Not used}","int(((2*x + 1)*(3*x + 4*x^2 + 1))/(3*x^2 + 2)^(5/2),x)","\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{-\frac{17}{16}+\frac{\sqrt{6}\,1{}\mathrm{i}}{48}}{x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}+\frac{\sqrt{6}\,\left(-\frac{17}{24}+\frac{\sqrt{6}\,1{}\mathrm{i}}{72}\right)\,1{}\mathrm{i}}{2\,{\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{\frac{17}{16}+\frac{\sqrt{6}\,1{}\mathrm{i}}{48}}{x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}-\frac{\sqrt{6}\,\left(\frac{17}{24}+\frac{\sqrt{6}\,1{}\mathrm{i}}{72}\right)\,1{}\mathrm{i}}{2\,{\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-192+\sqrt{6}\,69{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{2592\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(192+\sqrt{6}\,69{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{2592\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*1i)/48 - 17/16)/(x + (6^(1/2)*1i)/3) + (6^(1/2)*((6^(1/2)*1i)/72 - 17/24)*1i)/(2*(x + (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*1i)/48 + 17/16)/(x - (6^(1/2)*1i)/3) - (6^(1/2)*((6^(1/2)*1i)/72 + 17/24)*1i)/(2*(x - (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*6^(1/2)*(6^(1/2)*69i - 192)*(x^2 + 2/3)^(1/2)*1i)/(2592*(x - (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*69i + 192)*(x^2 + 2/3)^(1/2)*1i)/(2592*(x + (6^(1/2)*1i)/3))","B"
133,1,218,73,0.134855,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)*(3*x^2 + 2)^(5/2)),x)","\frac{\sqrt{11}\,\left(8\,\ln\left(x+\frac{1}{2}\right)-8\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{11}\,\sqrt{x^2+\frac{2}{3}}}{3}-\frac{4}{3}\right)\right)}{1331}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{-\frac{21}{176}+\frac{\sqrt{6}\,19{}\mathrm{i}}{176}}{x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}+\frac{\sqrt{6}\,\left(-\frac{7}{88}+\frac{\sqrt{6}\,19{}\mathrm{i}}{264}\right)\,1{}\mathrm{i}}{2\,{\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{\frac{21}{176}+\frac{\sqrt{6}\,19{}\mathrm{i}}{176}}{x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}-\frac{\sqrt{6}\,\left(\frac{7}{88}+\frac{\sqrt{6}\,19{}\mathrm{i}}{264}\right)\,1{}\mathrm{i}}{2\,{\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-288+\sqrt{6}\,303{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{104544\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(288+\sqrt{6}\,303{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{104544\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(11^(1/2)*(8*log(x + 1/2) - 8*log(x - (3^(1/2)*11^(1/2)*(x^2 + 2/3)^(1/2))/3 - 4/3)))/1331 - (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*19i)/176 - 21/176)/(x + (6^(1/2)*1i)/3) + (6^(1/2)*((6^(1/2)*19i)/264 - 7/88)*1i)/(2*(x + (6^(1/2)*1i)/3)^2)))/27 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*19i)/176 + 21/176)/(x - (6^(1/2)*1i)/3) - (6^(1/2)*((6^(1/2)*19i)/264 + 7/88)*1i)/(2*(x - (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*6^(1/2)*(6^(1/2)*303i - 288)*(x^2 + 2/3)^(1/2)*1i)/(104544*(x + (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*303i + 288)*(x^2 + 2/3)^(1/2)*1i)/(104544*(x - (6^(1/2)*1i)/3))","B"
134,1,270,95,4.312335,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)^2*(3*x^2 + 2)^(5/2)),x)","\frac{\sqrt{11}\,\left(8\,\ln\left(x+\frac{1}{2}\right)-8\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{11}\,\sqrt{x^2+\frac{2}{3}}}{3}-\frac{4}{3}\right)\right)}{14641}+\frac{\sqrt{11}\,\left(\frac{48\,\ln\left(x+\frac{1}{2}\right)}{1331}-\frac{48\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{11}\,\sqrt{x^2+\frac{2}{3}}}{3}-\frac{4}{3}\right)}{1331}\right)}{22}-\frac{8\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1331\,\left(x+\frac{1}{2}\right)}-\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{-\frac{291}{1936}+\frac{\sqrt{6}\,15{}\mathrm{i}}{1936}}{x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}+\frac{\sqrt{6}\,\left(-\frac{97}{968}+\frac{\sqrt{6}\,5{}\mathrm{i}}{968}\right)\,1{}\mathrm{i}}{2\,{\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}+\frac{\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}\,\left(\frac{\frac{291}{1936}+\frac{\sqrt{6}\,15{}\mathrm{i}}{1936}}{x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}}-\frac{\sqrt{6}\,\left(\frac{97}{968}+\frac{\sqrt{6}\,5{}\mathrm{i}}{968}\right)\,1{}\mathrm{i}}{2\,{\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}^2}\right)}{27}-\frac{\sqrt{3}\,\sqrt{6}\,\left(-288+\sqrt{6}\,2481{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{1149984\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\left(288+\sqrt{6}\,2481{}\mathrm{i}\right)\,\sqrt{x^2+\frac{2}{3}}\,1{}\mathrm{i}}{1149984\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}","Not used",1,"(11^(1/2)*(8*log(x + 1/2) - 8*log(x - (3^(1/2)*11^(1/2)*(x^2 + 2/3)^(1/2))/3 - 4/3)))/14641 + (11^(1/2)*((48*log(x + 1/2))/1331 - (48*log(x - (3^(1/2)*11^(1/2)*(x^2 + 2/3)^(1/2))/3 - 4/3))/1331))/22 - (8*3^(1/2)*(x^2 + 2/3)^(1/2))/(1331*(x + 1/2)) - (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*15i)/1936 - 291/1936)/(x + (6^(1/2)*1i)/3) + (6^(1/2)*((6^(1/2)*5i)/968 - 97/968)*1i)/(2*(x + (6^(1/2)*1i)/3)^2)))/27 + (3^(1/2)*(x^2 + 2/3)^(1/2)*(((6^(1/2)*15i)/1936 + 291/1936)/(x - (6^(1/2)*1i)/3) - (6^(1/2)*((6^(1/2)*5i)/968 + 97/968)*1i)/(2*(x - (6^(1/2)*1i)/3)^2)))/27 - (3^(1/2)*6^(1/2)*(6^(1/2)*2481i - 288)*(x^2 + 2/3)^(1/2)*1i)/(1149984*(x + (6^(1/2)*1i)/3)) - (3^(1/2)*6^(1/2)*(6^(1/2)*2481i + 288)*(x^2 + 2/3)^(1/2)*1i)/(1149984*(x - (6^(1/2)*1i)/3))","B"
135,1,301,117,4.190044,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)^3*(3*x^2 + 2)^(5/2)),x)","\frac{1216\,\sqrt{11}\,\ln\left(x+\frac{1}{2}\right)}{161051}-\frac{1216\,\sqrt{11}\,\ln\left(x-\frac{\sqrt{3}\,\sqrt{11}\,\sqrt{x^2+\frac{2}{3}}}{3}-\frac{4}{3}\right)}{161051}-\frac{179\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{95832\,\left(x^2+\frac{2{}\mathrm{i}\,\sqrt{6}\,x}{3}-\frac{2}{3}\right)}+\frac{711\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{58564\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{711\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{58564\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}-\frac{2\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1331\,\left(x^2+x+\frac{1}{4}\right)}+\frac{179\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{95832\,\left(-x^2+\frac{2{}\mathrm{i}\,\sqrt{6}\,x}{3}+\frac{2}{3}\right)}-\frac{4\,\sqrt{3}\,\sqrt{x^2+\frac{2}{3}}}{1331\,\left(x+\frac{1}{2}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,13{}\mathrm{i}}{21296\,\left(x^2+\frac{2{}\mathrm{i}\,\sqrt{6}\,x}{3}-\frac{2}{3}\right)}-\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,9265{}\mathrm{i}}{2108304\,\left(x-\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,9265{}\mathrm{i}}{2108304\,\left(x+\frac{\sqrt{6}\,1{}\mathrm{i}}{3}\right)}+\frac{\sqrt{3}\,\sqrt{6}\,\sqrt{x^2+\frac{2}{3}}\,13{}\mathrm{i}}{21296\,\left(-x^2+\frac{2{}\mathrm{i}\,\sqrt{6}\,x}{3}+\frac{2}{3}\right)}","Not used",1,"(1216*11^(1/2)*log(x + 1/2))/161051 - (1216*11^(1/2)*log(x - (3^(1/2)*11^(1/2)*(x^2 + 2/3)^(1/2))/3 - 4/3))/161051 - (179*3^(1/2)*(x^2 + 2/3)^(1/2))/(95832*((6^(1/2)*x*2i)/3 + x^2 - 2/3)) + (711*3^(1/2)*(x^2 + 2/3)^(1/2))/(58564*(x - (6^(1/2)*1i)/3)) + (711*3^(1/2)*(x^2 + 2/3)^(1/2))/(58564*(x + (6^(1/2)*1i)/3)) - (2*3^(1/2)*(x^2 + 2/3)^(1/2))/(1331*(x + x^2 + 1/4)) + (179*3^(1/2)*(x^2 + 2/3)^(1/2))/(95832*((6^(1/2)*x*2i)/3 - x^2 + 2/3)) - (4*3^(1/2)*(x^2 + 2/3)^(1/2))/(1331*(x + 1/2)) + (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*13i)/(21296*((6^(1/2)*x*2i)/3 + x^2 - 2/3)) - (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*9265i)/(2108304*(x - (6^(1/2)*1i)/3)) + (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*9265i)/(2108304*(x + (6^(1/2)*1i)/3)) + (3^(1/2)*6^(1/2)*(x^2 + 2/3)^(1/2)*13i)/(21296*((6^(1/2)*x*2i)/3 - x^2 + 2/3))","B"
136,0,-1,420,0.000000,"\text{Not used}","int((g + h*x)^m*(a + c*x^2)^p*(d + e*x + f*x^2),x)","\int {\left(g+h\,x\right)}^m\,{\left(c\,x^2+a\right)}^p\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((g + h*x)^m*(a + c*x^2)^p*(d + e*x + f*x^2), x)","F"
137,0,-1,403,0.000000,"\text{Not used}","int((g + h*x)^m*(a + c*x^2)^(1/2)*(d + e*x + f*x^2),x)","\int {\left(g+h\,x\right)}^m\,\sqrt{c\,x^2+a}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((g + h*x)^m*(a + c*x^2)^(1/2)*(d + e*x + f*x^2), x)","F"
138,0,-1,474,0.000000,"\text{Not used}","int(((a + c*x^2)^p*(d + e*x + f*x^2))/(g + h*x)^(2*p + 3),x)","\int \frac{{\left(c\,x^2+a\right)}^p\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^{2\,p+3}} \,d x","Not used",1,"int(((a + c*x^2)^p*(d + e*x + f*x^2))/(g + h*x)^(2*p + 3), x)","F"
139,0,-1,222,0.000000,"\text{Not used}","int((d + e*x)^m*(f*(b*e - c*d) + x*(b*e*g - c*d*g + c*e*f) + c*e*g*x^2)*(c*e^2*x^2 - c*d^2 + b*d*e + b*e^2*x)^p,x)","\int {\left(d+e\,x\right)}^m\,\left(c\,e\,g\,x^2+\left(b\,e\,g-c\,d\,g+c\,e\,f\right)\,x+f\,\left(b\,e-c\,d\right)\right)\,{\left(-c\,d^2+b\,d\,e+c\,e^2\,x^2+b\,e^2\,x\right)}^p \,d x","Not used",1,"int((d + e*x)^m*(f*(b*e - c*d) + x*(b*e*g - c*d*g + c*e*f) + c*e*g*x^2)*(c*e^2*x^2 - c*d^2 + b*d*e + b*e^2*x)^p, x)","F"
140,1,244,254,0.126072,"\text{Not used}","int((A + C*x^2)*(a + b*x + c*x^2)^4,x)","x^5\,\left(\frac{4\,C\,a^3\,c}{5}+\frac{6\,C\,a^2\,b^2}{5}+\frac{6\,A\,a^2\,c^2}{5}+\frac{12\,A\,a\,b^2\,c}{5}+\frac{A\,b^4}{5}\right)+x^7\,\left(\frac{6\,C\,a^2\,c^2}{7}+\frac{12\,C\,a\,b^2\,c}{7}+\frac{4\,A\,a\,c^3}{7}+\frac{C\,b^4}{7}+\frac{6\,A\,b^2\,c^2}{7}\right)+x^3\,\left(\frac{C\,a^4}{3}+\frac{4\,A\,c\,a^3}{3}+2\,A\,a^2\,b^2\right)+x^9\,\left(\frac{2\,C\,b^2\,c^2}{3}+\frac{A\,c^4}{9}+\frac{4\,C\,a\,c^3}{9}\right)+\frac{C\,c^4\,x^{11}}{11}+A\,a^4\,x+\frac{2\,b\,x^6\,\left(b^2+3\,a\,c\right)\,\left(A\,c+C\,a\right)}{3}+a\,b\,x^4\,\left(C\,a^2+3\,A\,c\,a+A\,b^2\right)+\frac{b\,c\,x^8\,\left(C\,b^2+A\,c^2+3\,C\,a\,c\right)}{2}+2\,A\,a^3\,b\,x^2+\frac{2\,C\,b\,c^3\,x^{10}}{5}","Not used",1,"x^5*((A*b^4)/5 + (6*A*a^2*c^2)/5 + (6*C*a^2*b^2)/5 + (4*C*a^3*c)/5 + (12*A*a*b^2*c)/5) + x^7*((C*b^4)/7 + (6*A*b^2*c^2)/7 + (6*C*a^2*c^2)/7 + (4*A*a*c^3)/7 + (12*C*a*b^2*c)/7) + x^3*((C*a^4)/3 + 2*A*a^2*b^2 + (4*A*a^3*c)/3) + x^9*((A*c^4)/9 + (2*C*b^2*c^2)/3 + (4*C*a*c^3)/9) + (C*c^4*x^11)/11 + A*a^4*x + (2*b*x^6*(3*a*c + b^2)*(A*c + C*a))/3 + a*b*x^4*(A*b^2 + C*a^2 + 3*A*a*c) + (b*c*x^8*(A*c^2 + C*b^2 + 3*C*a*c))/2 + 2*A*a^3*b*x^2 + (2*C*b*c^3*x^10)/5","B"
141,1,149,161,0.071399,"\text{Not used}","int((A + C*x^2)*(a + b*x + c*x^2)^3,x)","x^3\,\left(\frac{C\,a^3}{3}+A\,c\,a^2+A\,a\,b^2\right)+x^7\,\left(\frac{3\,C\,b^2\,c}{7}+\frac{A\,c^3}{7}+\frac{3\,C\,a\,c^2}{7}\right)+\frac{b\,x^4\,\left(3\,C\,a^2+6\,A\,c\,a+A\,b^2\right)}{4}+\frac{b\,x^6\,\left(C\,b^2+3\,A\,c^2+6\,C\,a\,c\right)}{6}+\frac{C\,c^3\,x^9}{9}+A\,a^3\,x+\frac{3\,x^5\,\left(b^2+a\,c\right)\,\left(A\,c+C\,a\right)}{5}+\frac{3\,A\,a^2\,b\,x^2}{2}+\frac{3\,C\,b\,c^2\,x^8}{8}","Not used",1,"x^3*((C*a^3)/3 + A*a*b^2 + A*a^2*c) + x^7*((A*c^3)/7 + (3*C*a*c^2)/7 + (3*C*b^2*c)/7) + (b*x^4*(A*b^2 + 3*C*a^2 + 6*A*a*c))/4 + (b*x^6*(3*A*c^2 + C*b^2 + 6*C*a*c))/6 + (C*c^3*x^9)/9 + A*a^3*x + (3*x^5*(a*c + b^2)*(A*c + C*a))/5 + (3*A*a^2*b*x^2)/2 + (3*C*b*c^2*x^8)/8","B"
142,1,88,96,4.085671,"\text{Not used}","int((A + C*x^2)*(a + b*x + c*x^2)^2,x)","x^3\,\left(\frac{C\,a^2}{3}+\frac{2\,A\,c\,a}{3}+\frac{A\,b^2}{3}\right)+x^5\,\left(\frac{C\,b^2}{5}+\frac{A\,c^2}{5}+\frac{2\,C\,a\,c}{5}\right)+\frac{C\,c^2\,x^7}{7}+A\,a^2\,x+\frac{b\,x^4\,\left(A\,c+C\,a\right)}{2}+A\,a\,b\,x^2+\frac{C\,b\,c\,x^6}{3}","Not used",1,"x^3*((A*b^2)/3 + (C*a^2)/3 + (2*A*a*c)/3) + x^5*((A*c^2)/5 + (C*b^2)/5 + (2*C*a*c)/5) + (C*c^2*x^7)/7 + A*a^2*x + (b*x^4*(A*c + C*a))/2 + A*a*b*x^2 + (C*b*c*x^6)/3","B"
143,1,39,46,0.025859,"\text{Not used}","int((A + C*x^2)*(a + b*x + c*x^2),x)","\frac{C\,c\,x^5}{5}+\frac{C\,b\,x^4}{4}+\left(\frac{A\,c}{3}+\frac{C\,a}{3}\right)\,x^3+\frac{A\,b\,x^2}{2}+A\,a\,x","Not used",1,"x^3*((A*c)/3 + (C*a)/3) + A*a*x + (A*b*x^2)/2 + (C*b*x^4)/4 + (C*c*x^5)/5","B"
144,1,224,81,0.193720,"\text{Not used}","int((A + C*x^2)/(a + b*x + c*x^2),x)","\frac{2\,A\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{\sqrt{4\,a\,c-b^2}}+\frac{C\,x}{c}+\frac{C\,b^3\,\ln\left(c\,x^2+b\,x+a\right)}{2\,\left(4\,a\,c^3-b^2\,c^2\right)}-\frac{2\,C\,a\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{c\,\sqrt{4\,a\,c-b^2}}+\frac{C\,b^2\,\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)}{c^2\,\sqrt{4\,a\,c-b^2}}-\frac{2\,C\,a\,b\,c\,\ln\left(c\,x^2+b\,x+a\right)}{4\,a\,c^3-b^2\,c^2}","Not used",1,"(2*A*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(4*a*c - b^2)^(1/2) + (C*x)/c + (C*b^3*log(a + b*x + c*x^2))/(2*(4*a*c^3 - b^2*c^2)) - (2*C*a*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(c*(4*a*c - b^2)^(1/2)) + (C*b^2*atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2)))/(c^2*(4*a*c - b^2)^(1/2)) - (2*C*a*b*c*log(a + b*x + c*x^2))/(4*a*c^3 - b^2*c^2)","B"
145,1,172,100,4.533135,"\text{Not used}","int((A + C*x^2)/(a + b*x + c*x^2)^2,x)","\frac{\frac{A\,b\,c+C\,a\,b}{c\,\left(4\,a\,c-b^2\right)}+\frac{x\,\left(C\,b^2+2\,A\,c^2-2\,C\,a\,c\right)}{c\,\left(4\,a\,c-b^2\right)}}{c\,x^2+b\,x+a}-\frac{4\,\mathrm{atan}\left(\frac{\left(\frac{2\,\left(A\,c+C\,a\right)\,\left(b^3-4\,a\,b\,c\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{4\,c\,x\,\left(A\,c+C\,a\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(4\,a\,c-b^2\right)}{2\,A\,c+2\,C\,a}\right)\,\left(A\,c+C\,a\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((A*b*c + C*a*b)/(c*(4*a*c - b^2)) + (x*(2*A*c^2 + C*b^2 - 2*C*a*c))/(c*(4*a*c - b^2)))/(a + b*x + c*x^2) - (4*atan((((2*(A*c + C*a)*(b^3 - 4*a*b*c))/(4*a*c - b^2)^(5/2) - (4*c*x*(A*c + C*a))/(4*a*c - b^2)^(3/2))*(4*a*c - b^2))/(2*A*c + 2*C*a))*(A*c + C*a))/(4*a*c - b^2)^(3/2)","B"
146,1,401,161,4.173362,"\text{Not used}","int((A + C*x^2)/(a + b*x + c*x^2)^3,x)","\frac{\frac{6\,C\,a^2\,b+10\,A\,c\,a\,b-A\,b^3}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(-2\,C\,a^2\,c+5\,C\,a\,b^2+10\,A\,a\,c^2+2\,A\,b^2\,c\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}+\frac{3\,b\,x^2\,\left(C\,b^2+6\,A\,c^2+2\,C\,a\,c\right)}{2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{c\,x^3\,\left(C\,b^2+6\,A\,c^2+2\,C\,a\,c\right)}{16\,a^2\,c^2-8\,a\,b^2\,c+b^4}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}+\frac{2\,\mathrm{atan}\left(\frac{\left(\frac{\left(16\,a^2\,b\,c^2-8\,a\,b^3\,c+b^5\right)\,\left(C\,b^2+6\,A\,c^2+2\,C\,a\,c\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{2\,c\,x\,\left(C\,b^2+6\,A\,c^2+2\,C\,a\,c\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}\right)\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}{C\,b^2+6\,A\,c^2+2\,C\,a\,c}\right)\,\left(C\,b^2+6\,A\,c^2+2\,C\,a\,c\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}","Not used",1,"((6*C*a^2*b - A*b^3 + 10*A*a*b*c)/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(10*A*a*c^2 + 2*A*b^2*c + 5*C*a*b^2 - 2*C*a^2*c))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c) + (3*b*x^2*(6*A*c^2 + C*b^2 + 2*C*a*c))/(2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (c*x^3*(6*A*c^2 + C*b^2 + 2*C*a*c))/(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3) + (2*atan(((((b^5 + 16*a^2*b*c^2 - 8*a*b^3*c)*(6*A*c^2 + C*b^2 + 2*C*a*c))/((4*a*c - b^2)^(5/2)*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (2*c*x*(6*A*c^2 + C*b^2 + 2*C*a*c))/(4*a*c - b^2)^(5/2))*(b^4 + 16*a^2*c^2 - 8*a*b^2*c))/(6*A*c^2 + C*b^2 + 2*C*a*c))*(6*A*c^2 + C*b^2 + 2*C*a*c))/(4*a*c - b^2)^(5/2)","B"
147,1,698,206,4.357861,"\text{Not used}","int((A + C*x^2)/(a + b*x + c*x^2)^4,x)","-\frac{\frac{26\,C\,a^3\,b\,c+C\,a^2\,b^3+66\,A\,a^2\,b\,c^2-13\,A\,a\,b^3\,c+A\,b^5}{3\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x\,\left(-4\,C\,a^3\,c^2+22\,C\,a^2\,b^2\,c+44\,A\,a^2\,c^3+C\,a\,b^4+18\,A\,a\,b^2\,c^2-A\,b^4\,c\right)}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{2\,x^3\,\left(11\,b^2\,c+16\,a\,c^2\right)\,\left(C\,b^2+5\,A\,c^2+C\,a\,c\right)}{3\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}+\frac{x^2\,\left(b^3+16\,a\,c\,b\right)\,\left(C\,b^2+5\,A\,c^2+C\,a\,c\right)}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{4\,c^3\,x^5\,\left(C\,b^2+5\,A\,c^2+C\,a\,c\right)}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}+\frac{10\,b\,c^2\,x^4\,\left(C\,b^2+5\,A\,c^2+C\,a\,c\right)}{-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6}}{x^2\,\left(3\,c\,a^2+3\,a\,b^2\right)+x^4\,\left(3\,b^2\,c+3\,a\,c^2\right)+a^3+x^3\,\left(b^3+6\,a\,c\,b\right)+c^3\,x^6+3\,b\,c^2\,x^5+3\,a^2\,b\,x}-\frac{8\,c\,\mathrm{atan}\left(\frac{\left(\frac{8\,c^2\,x\,\left(C\,b^2+5\,A\,c^2+C\,a\,c\right)}{{\left(4\,a\,c-b^2\right)}^{7/2}}+\frac{4\,c\,\left(C\,b^2+5\,A\,c^2+C\,a\,c\right)\,\left(-64\,a^3\,b\,c^3+48\,a^2\,b^3\,c^2-12\,a\,b^5\,c+b^7\right)}{{\left(4\,a\,c-b^2\right)}^{7/2}\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}\right)\,\left(-64\,a^3\,c^3+48\,a^2\,b^2\,c^2-12\,a\,b^4\,c+b^6\right)}{4\,C\,b^2\,c+20\,A\,c^3+4\,C\,a\,c^2}\right)\,\left(C\,b^2+5\,A\,c^2+C\,a\,c\right)}{{\left(4\,a\,c-b^2\right)}^{7/2}}","Not used",1,"- ((A*b^5 + C*a^2*b^3 - 13*A*a*b^3*c + 26*C*a^3*b*c + 66*A*a^2*b*c^2)/(3*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x*(44*A*a^2*c^3 - 4*C*a^3*c^2 - A*b^4*c + C*a*b^4 + 18*A*a*b^2*c^2 + 22*C*a^2*b^2*c))/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (2*x^3*(16*a*c^2 + 11*b^2*c)*(5*A*c^2 + C*b^2 + C*a*c))/(3*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)) + (x^2*(b^3 + 16*a*b*c)*(5*A*c^2 + C*b^2 + C*a*c))/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (4*c^3*x^5*(5*A*c^2 + C*b^2 + C*a*c))/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c) + (10*b*c^2*x^4*(5*A*c^2 + C*b^2 + C*a*c))/(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c))/(x^2*(3*a*b^2 + 3*a^2*c) + x^4*(3*a*c^2 + 3*b^2*c) + a^3 + x^3*(b^3 + 6*a*b*c) + c^3*x^6 + 3*b*c^2*x^5 + 3*a^2*b*x) - (8*c*atan((((8*c^2*x*(5*A*c^2 + C*b^2 + C*a*c))/(4*a*c - b^2)^(7/2) + (4*c*(5*A*c^2 + C*b^2 + C*a*c)*(b^7 - 64*a^3*b*c^3 + 48*a^2*b^3*c^2 - 12*a*b^5*c))/((4*a*c - b^2)^(7/2)*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c)))*(b^6 - 64*a^3*c^3 + 48*a^2*b^2*c^2 - 12*a*b^4*c))/(20*A*c^3 + 4*C*a*c^2 + 4*C*b^2*c))*(5*A*c^2 + C*b^2 + C*a*c))/(4*a*c - b^2)^(7/2)","B"
148,1,967,591,5.462432,"\text{Not used}","int(((d + e*x)^3*(f + g*x + h*x^2))/(a + b*x + c*x^2),x)","x^3\,\left(\frac{g\,e^3+3\,d\,h\,e^2}{3\,c}-\frac{b\,e^3\,h}{3\,c^2}\right)+x\,\left(\frac{h\,d^3+3\,g\,d^2\,e+3\,f\,d\,e^2}{c}+\frac{b\,\left(\frac{b\,\left(\frac{g\,e^3+3\,d\,h\,e^2}{c}-\frac{b\,e^3\,h}{c^2}\right)}{c}-\frac{3\,h\,d^2\,e+3\,g\,d\,e^2+f\,e^3}{c}+\frac{a\,e^3\,h}{c^2}\right)}{c}-\frac{a\,\left(\frac{g\,e^3+3\,d\,h\,e^2}{c}-\frac{b\,e^3\,h}{c^2}\right)}{c}\right)-x^2\,\left(\frac{b\,\left(\frac{g\,e^3+3\,d\,h\,e^2}{c}-\frac{b\,e^3\,h}{c^2}\right)}{2\,c}-\frac{3\,h\,d^2\,e+3\,g\,d\,e^2+f\,e^3}{2\,c}+\frac{a\,e^3\,h}{2\,c^2}\right)-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-4\,h\,a^3\,c^3\,e^3+13\,h\,a^2\,b^2\,c^2\,e^3-24\,h\,a^2\,b\,c^3\,d\,e^2-8\,g\,a^2\,b\,c^3\,e^3+12\,h\,a^2\,c^4\,d^2\,e+12\,g\,a^2\,c^4\,d\,e^2+4\,f\,a^2\,c^4\,e^3-7\,h\,a\,b^4\,c\,e^3+18\,h\,a\,b^3\,c^2\,d\,e^2+6\,g\,a\,b^3\,c^2\,e^3-15\,h\,a\,b^2\,c^3\,d^2\,e-15\,g\,a\,b^2\,c^3\,d\,e^2-5\,f\,a\,b^2\,c^3\,e^3+4\,h\,a\,b\,c^4\,d^3+12\,g\,a\,b\,c^4\,d^2\,e+12\,f\,a\,b\,c^4\,d\,e^2-4\,g\,a\,c^5\,d^3-12\,f\,a\,c^5\,d^2\,e+h\,b^6\,e^3-3\,h\,b^5\,c\,d\,e^2-g\,b^5\,c\,e^3+3\,h\,b^4\,c^2\,d^2\,e+3\,g\,b^4\,c^2\,d\,e^2+f\,b^4\,c^2\,e^3-h\,b^3\,c^3\,d^3-3\,g\,b^3\,c^3\,d^2\,e-3\,f\,b^3\,c^3\,d\,e^2+g\,b^2\,c^4\,d^3+3\,f\,b^2\,c^4\,d^2\,e\right)}{2\,\left(4\,a\,c^6-b^2\,c^5\right)}+\frac{e^3\,h\,x^4}{4\,c}+\frac{\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(-5\,h\,a^2\,b\,c^2\,e^3+6\,h\,a^2\,c^3\,d\,e^2+2\,g\,a^2\,c^3\,e^3+5\,h\,a\,b^3\,c\,e^3-12\,h\,a\,b^2\,c^2\,d\,e^2-4\,g\,a\,b^2\,c^2\,e^3+9\,h\,a\,b\,c^3\,d^2\,e+9\,g\,a\,b\,c^3\,d\,e^2+3\,f\,a\,b\,c^3\,e^3-2\,h\,a\,c^4\,d^3-6\,g\,a\,c^4\,d^2\,e-6\,f\,a\,c^4\,d\,e^2-h\,b^5\,e^3+3\,h\,b^4\,c\,d\,e^2+g\,b^4\,c\,e^3-3\,h\,b^3\,c^2\,d^2\,e-3\,g\,b^3\,c^2\,d\,e^2-f\,b^3\,c^2\,e^3+h\,b^2\,c^3\,d^3+3\,g\,b^2\,c^3\,d^2\,e+3\,f\,b^2\,c^3\,d\,e^2-g\,b\,c^4\,d^3-3\,f\,b\,c^4\,d^2\,e+2\,f\,c^5\,d^3\right)}{c^5\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x^3*((e^3*g + 3*d*e^2*h)/(3*c) - (b*e^3*h)/(3*c^2)) + x*((d^3*h + 3*d*e^2*f + 3*d^2*e*g)/c + (b*((b*((e^3*g + 3*d*e^2*h)/c - (b*e^3*h)/c^2))/c - (e^3*f + 3*d*e^2*g + 3*d^2*e*h)/c + (a*e^3*h)/c^2))/c - (a*((e^3*g + 3*d*e^2*h)/c - (b*e^3*h)/c^2))/c) - x^2*((b*((e^3*g + 3*d*e^2*h)/c - (b*e^3*h)/c^2))/(2*c) - (e^3*f + 3*d*e^2*g + 3*d^2*e*h)/(2*c) + (a*e^3*h)/(2*c^2)) - (log(a + b*x + c*x^2)*(b^6*e^3*h + 4*a^2*c^4*e^3*f + b^2*c^4*d^3*g + b^4*c^2*e^3*f - 4*a^3*c^3*e^3*h - b^3*c^3*d^3*h - 4*a*c^5*d^3*g - b^5*c*e^3*g + 4*a*b*c^4*d^3*h - 7*a*b^4*c*e^3*h - 12*a*c^5*d^2*e*f - 3*b^5*c*d*e^2*h - 5*a*b^2*c^3*e^3*f + 6*a*b^3*c^2*e^3*g - 8*a^2*b*c^3*e^3*g + 12*a^2*c^4*d*e^2*g + 3*b^2*c^4*d^2*e*f - 3*b^3*c^3*d*e^2*f + 12*a^2*c^4*d^2*e*h - 3*b^3*c^3*d^2*e*g + 3*b^4*c^2*d*e^2*g + 3*b^4*c^2*d^2*e*h + 13*a^2*b^2*c^2*e^3*h + 12*a*b*c^4*d*e^2*f + 12*a*b*c^4*d^2*e*g - 15*a*b^2*c^3*d*e^2*g - 15*a*b^2*c^3*d^2*e*h + 18*a*b^3*c^2*d*e^2*h - 24*a^2*b*c^3*d*e^2*h))/(2*(4*a*c^6 - b^2*c^5)) + (e^3*h*x^4)/(4*c) + (atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2))*(2*c^5*d^3*f - b^5*e^3*h + 2*a^2*c^3*e^3*g - b^3*c^2*e^3*f + b^2*c^3*d^3*h - 2*a*c^4*d^3*h - b*c^4*d^3*g + b^4*c*e^3*g + 3*a*b*c^3*e^3*f + 5*a*b^3*c*e^3*h - 6*a*c^4*d*e^2*f - 6*a*c^4*d^2*e*g - 3*b*c^4*d^2*e*f + 3*b^4*c*d*e^2*h - 4*a*b^2*c^2*e^3*g - 5*a^2*b*c^2*e^3*h + 3*b^2*c^3*d*e^2*f + 6*a^2*c^3*d*e^2*h + 3*b^2*c^3*d^2*e*g - 3*b^3*c^2*d*e^2*g - 3*b^3*c^2*d^2*e*h + 9*a*b*c^3*d*e^2*g + 9*a*b*c^3*d^2*e*h - 12*a*b^2*c^2*d*e^2*h))/(c^5*(4*a*c - b^2)^(1/2))","B"
149,1,557,348,4.684434,"\text{Not used}","int(((d + e*x)^2*(f + g*x + h*x^2))/(a + b*x + c*x^2),x)","x^2\,\left(\frac{g\,e^2+2\,d\,h\,e}{2\,c}-\frac{b\,e^2\,h}{2\,c^2}\right)-x\,\left(\frac{b\,\left(\frac{g\,e^2+2\,d\,h\,e}{c}-\frac{b\,e^2\,h}{c^2}\right)}{c}-\frac{h\,d^2+2\,g\,d\,e+f\,e^2}{c}+\frac{a\,e^2\,h}{c^2}\right)-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-8\,h\,a^2\,b\,c^2\,e^2+8\,h\,a^2\,c^3\,d\,e+4\,g\,a^2\,c^3\,e^2+6\,h\,a\,b^3\,c\,e^2-10\,h\,a\,b^2\,c^2\,d\,e-5\,g\,a\,b^2\,c^2\,e^2+4\,h\,a\,b\,c^3\,d^2+8\,g\,a\,b\,c^3\,d\,e+4\,f\,a\,b\,c^3\,e^2-4\,g\,a\,c^4\,d^2-8\,f\,a\,c^4\,d\,e-h\,b^5\,e^2+2\,h\,b^4\,c\,d\,e+g\,b^4\,c\,e^2-h\,b^3\,c^2\,d^2-2\,g\,b^3\,c^2\,d\,e-f\,b^3\,c^2\,e^2+g\,b^2\,c^3\,d^2+2\,f\,b^2\,c^3\,d\,e\right)}{2\,\left(4\,a\,c^5-b^2\,c^4\right)}+\frac{e^2\,h\,x^3}{3\,c}+\frac{\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,h\,a^2\,c^2\,e^2-4\,h\,a\,b^2\,c\,e^2+6\,h\,a\,b\,c^2\,d\,e+3\,g\,a\,b\,c^2\,e^2-2\,h\,a\,c^3\,d^2-4\,g\,a\,c^3\,d\,e-2\,f\,a\,c^3\,e^2+h\,b^4\,e^2-2\,h\,b^3\,c\,d\,e-g\,b^3\,c\,e^2+h\,b^2\,c^2\,d^2+2\,g\,b^2\,c^2\,d\,e+f\,b^2\,c^2\,e^2-g\,b\,c^3\,d^2-2\,f\,b\,c^3\,d\,e+2\,f\,c^4\,d^2\right)}{c^4\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x^2*((e^2*g + 2*d*e*h)/(2*c) - (b*e^2*h)/(2*c^2)) - x*((b*((e^2*g + 2*d*e*h)/c - (b*e^2*h)/c^2))/c - (e^2*f + d^2*h + 2*d*e*g)/c + (a*e^2*h)/c^2) - (log(a + b*x + c*x^2)*(4*a^2*c^3*e^2*g - b^5*e^2*h + b^2*c^3*d^2*g - b^3*c^2*e^2*f - b^3*c^2*d^2*h - 4*a*c^4*d^2*g + b^4*c*e^2*g + 4*a*b*c^3*e^2*f + 4*a*b*c^3*d^2*h + 6*a*b^3*c*e^2*h + 2*b^2*c^3*d*e*f + 8*a^2*c^3*d*e*h - 2*b^3*c^2*d*e*g - 5*a*b^2*c^2*e^2*g - 8*a^2*b*c^2*e^2*h - 8*a*c^4*d*e*f + 2*b^4*c*d*e*h + 8*a*b*c^3*d*e*g - 10*a*b^2*c^2*d*e*h))/(2*(4*a*c^5 - b^2*c^4)) + (e^2*h*x^3)/(3*c) + (atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2))*(2*c^4*d^2*f + b^4*e^2*h + b^2*c^2*e^2*f + 2*a^2*c^2*e^2*h + b^2*c^2*d^2*h - 2*a*c^3*e^2*f - 2*a*c^3*d^2*h - b*c^3*d^2*g - b^3*c*e^2*g + 3*a*b*c^2*e^2*g - 4*a*b^2*c*e^2*h + 2*b^2*c^2*d*e*g - 4*a*c^3*d*e*g - 2*b*c^3*d*e*f - 2*b^3*c*d*e*h + 6*a*b*c^2*d*e*h))/(c^4*(4*a*c - b^2)^(1/2))","B"
150,1,273,177,0.529942,"\text{Not used}","int(((d + e*x)*(f + g*x + h*x^2))/(a + b*x + c*x^2),x)","x\,\left(\frac{d\,h+e\,g}{c}-\frac{b\,e\,h}{c^2}\right)-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(b^4\,e\,h-4\,a\,c^3\,d\,g-4\,a\,c^3\,e\,f-b^3\,c\,d\,h-b^3\,c\,e\,g+b^2\,c^2\,d\,g+b^2\,c^2\,e\,f+4\,a^2\,c^2\,e\,h+4\,a\,b\,c^2\,d\,h+4\,a\,b\,c^2\,e\,g-5\,a\,b^2\,c\,e\,h\right)}{2\,\left(4\,a\,c^4-b^2\,c^3\right)}-\frac{\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(b^3\,e\,h-2\,c^3\,d\,f+2\,a\,c^2\,d\,h+2\,a\,c^2\,e\,g+b\,c^2\,d\,g+b\,c^2\,e\,f-b^2\,c\,d\,h-b^2\,c\,e\,g-3\,a\,b\,c\,e\,h\right)}{c^3\,\sqrt{4\,a\,c-b^2}}+\frac{e\,h\,x^2}{2\,c}","Not used",1,"x*((d*h + e*g)/c - (b*e*h)/c^2) - (log(a + b*x + c*x^2)*(b^4*e*h - 4*a*c^3*d*g - 4*a*c^3*e*f - b^3*c*d*h - b^3*c*e*g + b^2*c^2*d*g + b^2*c^2*e*f + 4*a^2*c^2*e*h + 4*a*b*c^2*d*h + 4*a*b*c^2*e*g - 5*a*b^2*c*e*h))/(2*(4*a*c^4 - b^2*c^3)) - (atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2))*(b^3*e*h - 2*c^3*d*f + 2*a*c^2*d*h + 2*a*c^2*e*g + b*c^2*d*g + b*c^2*e*f - b^2*c*d*h - b^2*c*e*g - 3*a*b*c*e*h))/(c^3*(4*a*c - b^2)^(1/2)) + (e*h*x^2)/(2*c)","B"
151,1,132,92,0.252669,"\text{Not used}","int((f + g*x + h*x^2)/(a + b*x + c*x^2),x)","\frac{h\,x}{c}+\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(h\,b^3-g\,b^2\,c-4\,a\,h\,b\,c+4\,a\,g\,c^2\right)}{2\,\left(4\,a\,c^3-b^2\,c^2\right)}+\frac{\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(h\,b^2-g\,b\,c+2\,f\,c^2-2\,a\,h\,c\right)}{c^2\,\sqrt{4\,a\,c-b^2}}","Not used",1,"(h*x)/c + (log(a + b*x + c*x^2)*(b^3*h + 4*a*c^2*g - b^2*c*g - 4*a*b*c*h))/(2*(4*a*c^3 - b^2*c^2)) + (atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2))*(2*c^2*f + b^2*h - 2*a*c*h - b*c*g))/(c^2*(4*a*c - b^2)^(1/2))","B"
152,1,2467,196,10.450147,"\text{Not used}","int((f + g*x + h*x^2)/((d + e*x)*(a + b*x + c*x^2)),x)","\frac{\ln\left(a^2\,b\,e^4\,g-2\,a\,b^2\,e^4\,f-2\,a^3\,e^4\,h+6\,a^2\,c\,e^4\,f-4\,a\,c^2\,d^4\,h+b^2\,c\,d^4\,h+b^3\,d^3\,e\,h-2\,b^3\,e^4\,f\,x+a^2\,e^4\,g\,\sqrt{b^2-4\,a\,c}+a\,b^2\,d\,e^3\,g+6\,a\,c^2\,d^3\,e\,g+b\,c^2\,d^3\,e\,f+3\,a^2\,b\,d\,e^3\,h-10\,a^2\,c\,d\,e^3\,g-2\,b^2\,c\,d^3\,e\,g+a\,b^2\,e^4\,g\,x-a^2\,b\,e^4\,h\,x-2\,a^2\,c\,e^4\,g\,x+b^3\,d\,e^3\,g\,x+2\,c^3\,d^3\,e\,f\,x-3\,a^2\,d\,e^3\,h\,\sqrt{b^2-4\,a\,c}-c^2\,d^3\,e\,f\,\sqrt{b^2-4\,a\,c}-b^2\,d^3\,e\,h\,\sqrt{b^2-4\,a\,c}-2\,b^2\,e^4\,f\,x\,\sqrt{b^2-4\,a\,c}-a^2\,e^4\,h\,x\,\sqrt{b^2-4\,a\,c}-2\,c^2\,d^4\,h\,x\,\sqrt{b^2-4\,a\,c}-10\,a\,c^2\,d^2\,e^2\,f-4\,a\,b^2\,d^2\,e^2\,h+b^2\,c\,d^2\,e^2\,f+10\,a^2\,c\,d^2\,e^2\,h-b^3\,d^2\,e^2\,h\,x-2\,a\,b\,e^4\,f\,\sqrt{b^2-4\,a\,c}-b\,c\,d^4\,h\,\sqrt{b^2-4\,a\,c}+3\,a\,b\,c\,d\,e^3\,f-3\,a\,b\,c\,d^3\,e\,h+7\,a\,b\,c\,e^4\,f\,x-5\,c^2\,d^2\,e^2\,f\,x\,\sqrt{b^2-4\,a\,c}-b^2\,d^2\,e^2\,h\,x\,\sqrt{b^2-4\,a\,c}+a\,b\,d\,e^3\,g\,\sqrt{b^2-4\,a\,c}+7\,a\,c\,d\,e^3\,f\,\sqrt{b^2-4\,a\,c}+5\,a\,c\,d^3\,e\,h\,\sqrt{b^2-4\,a\,c}+2\,b\,c\,d^3\,e\,g\,\sqrt{b^2-4\,a\,c}+a\,b\,e^4\,g\,x\,\sqrt{b^2-4\,a\,c}+3\,a\,c\,e^4\,f\,x\,\sqrt{b^2-4\,a\,c}+3\,a\,b\,c\,d^2\,e^2\,g-14\,a\,c^2\,d\,e^3\,f\,x+5\,b^2\,c\,d\,e^3\,f\,x-10\,a\,c^2\,d^3\,e\,h\,x-b\,c^2\,d^3\,e\,g\,x+6\,a^2\,c\,d\,e^3\,h\,x+3\,b^2\,c\,d^3\,e\,h\,x+2\,a\,b\,d^2\,e^2\,h\,\sqrt{b^2-4\,a\,c}-7\,a\,c\,d^2\,e^2\,g\,\sqrt{b^2-4\,a\,c}-b\,c\,d^2\,e^2\,f\,\sqrt{b^2-4\,a\,c}+b^2\,d\,e^3\,g\,x\,\sqrt{b^2-4\,a\,c}+3\,c^2\,d^3\,e\,g\,x\,\sqrt{b^2-4\,a\,c}+14\,a\,c^2\,d^2\,e^2\,g\,x-3\,b\,c^2\,d^2\,e^2\,f\,x-2\,b^2\,c\,d^2\,e^2\,g\,x+5\,a\,c\,d^2\,e^2\,h\,x\,\sqrt{b^2-4\,a\,c}-2\,b\,c\,d^2\,e^2\,g\,x\,\sqrt{b^2-4\,a\,c}-7\,a\,b\,c\,d\,e^3\,g\,x-5\,a\,c\,d\,e^3\,g\,x\,\sqrt{b^2-4\,a\,c}+5\,b\,c\,d\,e^3\,f\,x\,\sqrt{b^2-4\,a\,c}+b\,c\,d^3\,e\,h\,x\,\sqrt{b^2-4\,a\,c}+a\,b\,c\,d^2\,e^2\,h\,x\right)\,\left(b^3\,d\,h+4\,a\,c^2\,d\,g-4\,a\,c^2\,e\,f-a\,b^2\,e\,h-b^2\,c\,d\,g+b^2\,c\,e\,f+4\,a^2\,c\,e\,h-2\,c^2\,d\,f\,\sqrt{b^2-4\,a\,c}-b^2\,d\,h\,\sqrt{b^2-4\,a\,c}-4\,a\,b\,c\,d\,h+a\,b\,e\,h\,\sqrt{b^2-4\,a\,c}+2\,a\,c\,d\,h\,\sqrt{b^2-4\,a\,c}-2\,a\,c\,e\,g\,\sqrt{b^2-4\,a\,c}+b\,c\,d\,g\,\sqrt{b^2-4\,a\,c}+b\,c\,e\,f\,\sqrt{b^2-4\,a\,c}\right)}{2\,\left(4\,a^2\,c^2\,e^2-a\,b^2\,c\,e^2-4\,a\,b\,c^2\,d\,e+4\,a\,c^3\,d^2+b^3\,c\,d\,e-b^2\,c^2\,d^2\right)}-\frac{\ln\left(a^2\,b\,e^4\,g-2\,a\,b^2\,e^4\,f-2\,a^3\,e^4\,h+6\,a^2\,c\,e^4\,f-4\,a\,c^2\,d^4\,h+b^2\,c\,d^4\,h+b^3\,d^3\,e\,h-2\,b^3\,e^4\,f\,x-a^2\,e^4\,g\,\sqrt{b^2-4\,a\,c}+a\,b^2\,d\,e^3\,g+6\,a\,c^2\,d^3\,e\,g+b\,c^2\,d^3\,e\,f+3\,a^2\,b\,d\,e^3\,h-10\,a^2\,c\,d\,e^3\,g-2\,b^2\,c\,d^3\,e\,g+a\,b^2\,e^4\,g\,x-a^2\,b\,e^4\,h\,x-2\,a^2\,c\,e^4\,g\,x+b^3\,d\,e^3\,g\,x+2\,c^3\,d^3\,e\,f\,x+3\,a^2\,d\,e^3\,h\,\sqrt{b^2-4\,a\,c}+c^2\,d^3\,e\,f\,\sqrt{b^2-4\,a\,c}+b^2\,d^3\,e\,h\,\sqrt{b^2-4\,a\,c}+2\,b^2\,e^4\,f\,x\,\sqrt{b^2-4\,a\,c}+a^2\,e^4\,h\,x\,\sqrt{b^2-4\,a\,c}+2\,c^2\,d^4\,h\,x\,\sqrt{b^2-4\,a\,c}-10\,a\,c^2\,d^2\,e^2\,f-4\,a\,b^2\,d^2\,e^2\,h+b^2\,c\,d^2\,e^2\,f+10\,a^2\,c\,d^2\,e^2\,h-b^3\,d^2\,e^2\,h\,x+2\,a\,b\,e^4\,f\,\sqrt{b^2-4\,a\,c}+b\,c\,d^4\,h\,\sqrt{b^2-4\,a\,c}+3\,a\,b\,c\,d\,e^3\,f-3\,a\,b\,c\,d^3\,e\,h+7\,a\,b\,c\,e^4\,f\,x+5\,c^2\,d^2\,e^2\,f\,x\,\sqrt{b^2-4\,a\,c}+b^2\,d^2\,e^2\,h\,x\,\sqrt{b^2-4\,a\,c}-a\,b\,d\,e^3\,g\,\sqrt{b^2-4\,a\,c}-7\,a\,c\,d\,e^3\,f\,\sqrt{b^2-4\,a\,c}-5\,a\,c\,d^3\,e\,h\,\sqrt{b^2-4\,a\,c}-2\,b\,c\,d^3\,e\,g\,\sqrt{b^2-4\,a\,c}-a\,b\,e^4\,g\,x\,\sqrt{b^2-4\,a\,c}-3\,a\,c\,e^4\,f\,x\,\sqrt{b^2-4\,a\,c}+3\,a\,b\,c\,d^2\,e^2\,g-14\,a\,c^2\,d\,e^3\,f\,x+5\,b^2\,c\,d\,e^3\,f\,x-10\,a\,c^2\,d^3\,e\,h\,x-b\,c^2\,d^3\,e\,g\,x+6\,a^2\,c\,d\,e^3\,h\,x+3\,b^2\,c\,d^3\,e\,h\,x-2\,a\,b\,d^2\,e^2\,h\,\sqrt{b^2-4\,a\,c}+7\,a\,c\,d^2\,e^2\,g\,\sqrt{b^2-4\,a\,c}+b\,c\,d^2\,e^2\,f\,\sqrt{b^2-4\,a\,c}-b^2\,d\,e^3\,g\,x\,\sqrt{b^2-4\,a\,c}-3\,c^2\,d^3\,e\,g\,x\,\sqrt{b^2-4\,a\,c}+14\,a\,c^2\,d^2\,e^2\,g\,x-3\,b\,c^2\,d^2\,e^2\,f\,x-2\,b^2\,c\,d^2\,e^2\,g\,x-5\,a\,c\,d^2\,e^2\,h\,x\,\sqrt{b^2-4\,a\,c}+2\,b\,c\,d^2\,e^2\,g\,x\,\sqrt{b^2-4\,a\,c}-7\,a\,b\,c\,d\,e^3\,g\,x+5\,a\,c\,d\,e^3\,g\,x\,\sqrt{b^2-4\,a\,c}-5\,b\,c\,d\,e^3\,f\,x\,\sqrt{b^2-4\,a\,c}-b\,c\,d^3\,e\,h\,x\,\sqrt{b^2-4\,a\,c}+a\,b\,c\,d^2\,e^2\,h\,x\right)\,\left(4\,a\,c^2\,e\,f-4\,a\,c^2\,d\,g-b^3\,d\,h+a\,b^2\,e\,h+b^2\,c\,d\,g-b^2\,c\,e\,f-4\,a^2\,c\,e\,h-2\,c^2\,d\,f\,\sqrt{b^2-4\,a\,c}-b^2\,d\,h\,\sqrt{b^2-4\,a\,c}+4\,a\,b\,c\,d\,h+a\,b\,e\,h\,\sqrt{b^2-4\,a\,c}+2\,a\,c\,d\,h\,\sqrt{b^2-4\,a\,c}-2\,a\,c\,e\,g\,\sqrt{b^2-4\,a\,c}+b\,c\,d\,g\,\sqrt{b^2-4\,a\,c}+b\,c\,e\,f\,\sqrt{b^2-4\,a\,c}\right)}{2\,\left(4\,a^2\,c^2\,e^2-a\,b^2\,c\,e^2-4\,a\,b\,c^2\,d\,e+4\,a\,c^3\,d^2+b^3\,c\,d\,e-b^2\,c^2\,d^2\right)}+\frac{\ln\left(d+e\,x\right)\,\left(h\,d^2-g\,d\,e+f\,e^2\right)}{c\,d^2\,e-b\,d\,e^2+a\,e^3}","Not used",1,"(log(a^2*b*e^4*g - 2*a*b^2*e^4*f - 2*a^3*e^4*h + 6*a^2*c*e^4*f - 4*a*c^2*d^4*h + b^2*c*d^4*h + b^3*d^3*e*h - 2*b^3*e^4*f*x + a^2*e^4*g*(b^2 - 4*a*c)^(1/2) + a*b^2*d*e^3*g + 6*a*c^2*d^3*e*g + b*c^2*d^3*e*f + 3*a^2*b*d*e^3*h - 10*a^2*c*d*e^3*g - 2*b^2*c*d^3*e*g + a*b^2*e^4*g*x - a^2*b*e^4*h*x - 2*a^2*c*e^4*g*x + b^3*d*e^3*g*x + 2*c^3*d^3*e*f*x - 3*a^2*d*e^3*h*(b^2 - 4*a*c)^(1/2) - c^2*d^3*e*f*(b^2 - 4*a*c)^(1/2) - b^2*d^3*e*h*(b^2 - 4*a*c)^(1/2) - 2*b^2*e^4*f*x*(b^2 - 4*a*c)^(1/2) - a^2*e^4*h*x*(b^2 - 4*a*c)^(1/2) - 2*c^2*d^4*h*x*(b^2 - 4*a*c)^(1/2) - 10*a*c^2*d^2*e^2*f - 4*a*b^2*d^2*e^2*h + b^2*c*d^2*e^2*f + 10*a^2*c*d^2*e^2*h - b^3*d^2*e^2*h*x - 2*a*b*e^4*f*(b^2 - 4*a*c)^(1/2) - b*c*d^4*h*(b^2 - 4*a*c)^(1/2) + 3*a*b*c*d*e^3*f - 3*a*b*c*d^3*e*h + 7*a*b*c*e^4*f*x - 5*c^2*d^2*e^2*f*x*(b^2 - 4*a*c)^(1/2) - b^2*d^2*e^2*h*x*(b^2 - 4*a*c)^(1/2) + a*b*d*e^3*g*(b^2 - 4*a*c)^(1/2) + 7*a*c*d*e^3*f*(b^2 - 4*a*c)^(1/2) + 5*a*c*d^3*e*h*(b^2 - 4*a*c)^(1/2) + 2*b*c*d^3*e*g*(b^2 - 4*a*c)^(1/2) + a*b*e^4*g*x*(b^2 - 4*a*c)^(1/2) + 3*a*c*e^4*f*x*(b^2 - 4*a*c)^(1/2) + 3*a*b*c*d^2*e^2*g - 14*a*c^2*d*e^3*f*x + 5*b^2*c*d*e^3*f*x - 10*a*c^2*d^3*e*h*x - b*c^2*d^3*e*g*x + 6*a^2*c*d*e^3*h*x + 3*b^2*c*d^3*e*h*x + 2*a*b*d^2*e^2*h*(b^2 - 4*a*c)^(1/2) - 7*a*c*d^2*e^2*g*(b^2 - 4*a*c)^(1/2) - b*c*d^2*e^2*f*(b^2 - 4*a*c)^(1/2) + b^2*d*e^3*g*x*(b^2 - 4*a*c)^(1/2) + 3*c^2*d^3*e*g*x*(b^2 - 4*a*c)^(1/2) + 14*a*c^2*d^2*e^2*g*x - 3*b*c^2*d^2*e^2*f*x - 2*b^2*c*d^2*e^2*g*x + 5*a*c*d^2*e^2*h*x*(b^2 - 4*a*c)^(1/2) - 2*b*c*d^2*e^2*g*x*(b^2 - 4*a*c)^(1/2) - 7*a*b*c*d*e^3*g*x - 5*a*c*d*e^3*g*x*(b^2 - 4*a*c)^(1/2) + 5*b*c*d*e^3*f*x*(b^2 - 4*a*c)^(1/2) + b*c*d^3*e*h*x*(b^2 - 4*a*c)^(1/2) + a*b*c*d^2*e^2*h*x)*(b^3*d*h + 4*a*c^2*d*g - 4*a*c^2*e*f - a*b^2*e*h - b^2*c*d*g + b^2*c*e*f + 4*a^2*c*e*h - 2*c^2*d*f*(b^2 - 4*a*c)^(1/2) - b^2*d*h*(b^2 - 4*a*c)^(1/2) - 4*a*b*c*d*h + a*b*e*h*(b^2 - 4*a*c)^(1/2) + 2*a*c*d*h*(b^2 - 4*a*c)^(1/2) - 2*a*c*e*g*(b^2 - 4*a*c)^(1/2) + b*c*d*g*(b^2 - 4*a*c)^(1/2) + b*c*e*f*(b^2 - 4*a*c)^(1/2)))/(2*(4*a*c^3*d^2 + 4*a^2*c^2*e^2 - b^2*c^2*d^2 + b^3*c*d*e - a*b^2*c*e^2 - 4*a*b*c^2*d*e)) - (log(a^2*b*e^4*g - 2*a*b^2*e^4*f - 2*a^3*e^4*h + 6*a^2*c*e^4*f - 4*a*c^2*d^4*h + b^2*c*d^4*h + b^3*d^3*e*h - 2*b^3*e^4*f*x - a^2*e^4*g*(b^2 - 4*a*c)^(1/2) + a*b^2*d*e^3*g + 6*a*c^2*d^3*e*g + b*c^2*d^3*e*f + 3*a^2*b*d*e^3*h - 10*a^2*c*d*e^3*g - 2*b^2*c*d^3*e*g + a*b^2*e^4*g*x - a^2*b*e^4*h*x - 2*a^2*c*e^4*g*x + b^3*d*e^3*g*x + 2*c^3*d^3*e*f*x + 3*a^2*d*e^3*h*(b^2 - 4*a*c)^(1/2) + c^2*d^3*e*f*(b^2 - 4*a*c)^(1/2) + b^2*d^3*e*h*(b^2 - 4*a*c)^(1/2) + 2*b^2*e^4*f*x*(b^2 - 4*a*c)^(1/2) + a^2*e^4*h*x*(b^2 - 4*a*c)^(1/2) + 2*c^2*d^4*h*x*(b^2 - 4*a*c)^(1/2) - 10*a*c^2*d^2*e^2*f - 4*a*b^2*d^2*e^2*h + b^2*c*d^2*e^2*f + 10*a^2*c*d^2*e^2*h - b^3*d^2*e^2*h*x + 2*a*b*e^4*f*(b^2 - 4*a*c)^(1/2) + b*c*d^4*h*(b^2 - 4*a*c)^(1/2) + 3*a*b*c*d*e^3*f - 3*a*b*c*d^3*e*h + 7*a*b*c*e^4*f*x + 5*c^2*d^2*e^2*f*x*(b^2 - 4*a*c)^(1/2) + b^2*d^2*e^2*h*x*(b^2 - 4*a*c)^(1/2) - a*b*d*e^3*g*(b^2 - 4*a*c)^(1/2) - 7*a*c*d*e^3*f*(b^2 - 4*a*c)^(1/2) - 5*a*c*d^3*e*h*(b^2 - 4*a*c)^(1/2) - 2*b*c*d^3*e*g*(b^2 - 4*a*c)^(1/2) - a*b*e^4*g*x*(b^2 - 4*a*c)^(1/2) - 3*a*c*e^4*f*x*(b^2 - 4*a*c)^(1/2) + 3*a*b*c*d^2*e^2*g - 14*a*c^2*d*e^3*f*x + 5*b^2*c*d*e^3*f*x - 10*a*c^2*d^3*e*h*x - b*c^2*d^3*e*g*x + 6*a^2*c*d*e^3*h*x + 3*b^2*c*d^3*e*h*x - 2*a*b*d^2*e^2*h*(b^2 - 4*a*c)^(1/2) + 7*a*c*d^2*e^2*g*(b^2 - 4*a*c)^(1/2) + b*c*d^2*e^2*f*(b^2 - 4*a*c)^(1/2) - b^2*d*e^3*g*x*(b^2 - 4*a*c)^(1/2) - 3*c^2*d^3*e*g*x*(b^2 - 4*a*c)^(1/2) + 14*a*c^2*d^2*e^2*g*x - 3*b*c^2*d^2*e^2*f*x - 2*b^2*c*d^2*e^2*g*x - 5*a*c*d^2*e^2*h*x*(b^2 - 4*a*c)^(1/2) + 2*b*c*d^2*e^2*g*x*(b^2 - 4*a*c)^(1/2) - 7*a*b*c*d*e^3*g*x + 5*a*c*d*e^3*g*x*(b^2 - 4*a*c)^(1/2) - 5*b*c*d*e^3*f*x*(b^2 - 4*a*c)^(1/2) - b*c*d^3*e*h*x*(b^2 - 4*a*c)^(1/2) + a*b*c*d^2*e^2*h*x)*(4*a*c^2*e*f - 4*a*c^2*d*g - b^3*d*h + a*b^2*e*h + b^2*c*d*g - b^2*c*e*f - 4*a^2*c*e*h - 2*c^2*d*f*(b^2 - 4*a*c)^(1/2) - b^2*d*h*(b^2 - 4*a*c)^(1/2) + 4*a*b*c*d*h + a*b*e*h*(b^2 - 4*a*c)^(1/2) + 2*a*c*d*h*(b^2 - 4*a*c)^(1/2) - 2*a*c*e*g*(b^2 - 4*a*c)^(1/2) + b*c*d*g*(b^2 - 4*a*c)^(1/2) + b*c*e*f*(b^2 - 4*a*c)^(1/2)))/(2*(4*a*c^3*d^2 + 4*a^2*c^2*e^2 - b^2*c^2*d^2 + b^3*c*d*e - a*b^2*c*e^2 - 4*a*b*c^2*d*e)) + (log(d + e*x)*(e^2*f + d^2*h - d*e*g))/(a*e^3 - b*d*e^2 + c*d^2*e)","B"
153,1,3991,316,14.712679,"\text{Not used}","int((f + g*x + h*x^2)/((d + e*x)^2*(a + b*x + c*x^2)),x)","\frac{\ln\left(d+e\,x\right)\,\left(\left(b\,h-c\,g\right)\,d^2+\left(2\,c\,f-2\,a\,h\right)\,d\,e+\left(a\,g-b\,f\right)\,e^2\right)}{a^2\,e^4-2\,a\,b\,d\,e^3+2\,a\,c\,d^2\,e^2+b^2\,d^2\,e^2-2\,b\,c\,d^3\,e+c^2\,d^4}+\frac{\ln\left(2\,a\,b^3\,e^4\,f-2\,b^2\,c^2\,d^4\,g-2\,a^2\,b^2\,e^4\,g+6\,a\,c^3\,d^4\,g+b\,c^3\,d^4\,f+a^3\,b\,e^4\,h+6\,a^3\,c\,e^4\,g+2\,b^3\,c\,d^4\,h+2\,b^4\,e^4\,f\,x+2\,c^4\,d^4\,f\,x-c^3\,d^4\,f\,\sqrt{b^2-4\,a\,c}+a^3\,e^4\,h\,\sqrt{b^2-4\,a\,c}-7\,a^2\,b\,c\,e^4\,f-7\,a\,b\,c^2\,d^4\,h-16\,a\,c^3\,d^3\,e\,f-16\,a^3\,c\,d\,e^3\,h-2\,a\,b^3\,e^4\,g\,x-2\,a\,c^3\,d^4\,h\,x-b\,c^3\,d^4\,g\,x-2\,a^3\,c\,e^4\,h\,x+2\,a\,b^2\,e^4\,f\,\sqrt{b^2-4\,a\,c}-2\,a^2\,b\,e^4\,g\,\sqrt{b^2-4\,a\,c}-a^2\,c\,e^4\,f\,\sqrt{b^2-4\,a\,c}+a\,c^2\,d^4\,h\,\sqrt{b^2-4\,a\,c}+2\,b\,c^2\,d^4\,g\,\sqrt{b^2-4\,a\,c}-2\,b^2\,c\,d^4\,h\,\sqrt{b^2-4\,a\,c}+2\,b^3\,e^4\,f\,x\,\sqrt{b^2-4\,a\,c}+3\,c^3\,d^4\,g\,x\,\sqrt{b^2-4\,a\,c}+16\,a^2\,c^2\,d\,e^3\,f-a\,b^3\,d^2\,e^2\,h+2\,a^2\,b^2\,d\,e^3\,h+2\,b^2\,c^2\,d^3\,e\,f-b^3\,c\,d^2\,e^2\,f+16\,a^2\,c^2\,d^3\,e\,h+2\,a^2\,c^2\,e^4\,f\,x+a^2\,b^2\,e^4\,h\,x+b^2\,c^2\,d^4\,h\,x-b^4\,d^2\,e^2\,h\,x-20\,a^2\,c^2\,d^2\,e^2\,g+14\,a\,c^2\,d^2\,e^2\,f\,\sqrt{b^2-4\,a\,c}-a\,b^2\,d^2\,e^2\,h\,\sqrt{b^2-4\,a\,c}+b^2\,c\,d^2\,e^2\,f\,\sqrt{b^2-4\,a\,c}-14\,a^2\,c\,d^2\,e^2\,h\,\sqrt{b^2-4\,a\,c}-b^3\,d^2\,e^2\,h\,x\,\sqrt{b^2-4\,a\,c}+10\,b^2\,c^2\,d^2\,e^2\,f\,x+28\,a^2\,c^2\,d^2\,e^2\,h\,x-6\,a\,b^2\,c\,d\,e^3\,f+4\,a\,b\,c^2\,d^3\,e\,g+4\,a^2\,b\,c\,d\,e^3\,g-6\,a\,b^2\,c\,d^3\,e\,h-8\,a\,b^2\,c\,e^4\,f\,x+7\,a^2\,b\,c\,e^4\,g\,x+2\,a\,b^3\,d\,e^3\,h\,x+16\,a\,c^3\,d^3\,e\,g\,x-4\,b\,c^3\,d^3\,e\,f\,x-8\,b^3\,c\,d\,e^3\,f\,x+2\,b^3\,c\,d^3\,e\,h\,x-8\,a\,c^2\,d^3\,e\,g\,\sqrt{b^2-4\,a\,c}-2\,b\,c^2\,d^3\,e\,f\,\sqrt{b^2-4\,a\,c}+2\,a^2\,b\,d\,e^3\,h\,\sqrt{b^2-4\,a\,c}+8\,a^2\,c\,d\,e^3\,g\,\sqrt{b^2-4\,a\,c}-2\,a\,b^2\,e^4\,g\,x\,\sqrt{b^2-4\,a\,c}+a^2\,b\,e^4\,h\,x\,\sqrt{b^2-4\,a\,c}+3\,a^2\,c\,e^4\,g\,x\,\sqrt{b^2-4\,a\,c}-3\,b\,c^2\,d^4\,h\,x\,\sqrt{b^2-4\,a\,c}-8\,c^3\,d^3\,e\,f\,x\,\sqrt{b^2-4\,a\,c}+10\,a\,b\,c^2\,d^2\,e^2\,f+2\,a\,b^2\,c\,d^2\,e^2\,g+10\,a^2\,b\,c\,d^2\,e^2\,h-28\,a\,c^3\,d^2\,e^2\,f\,x-16\,a^2\,c^2\,d\,e^3\,g\,x-2\,b^2\,c^2\,d^3\,e\,g\,x+b^3\,c\,d^2\,e^2\,g\,x+8\,a\,c^2\,d\,e^3\,f\,x\,\sqrt{b^2-4\,a\,c}+2\,a\,b^2\,d\,e^3\,h\,x\,\sqrt{b^2-4\,a\,c}-8\,b^2\,c\,d\,e^3\,f\,x\,\sqrt{b^2-4\,a\,c}+8\,a\,c^2\,d^3\,e\,h\,x\,\sqrt{b^2-4\,a\,c}-2\,b\,c^2\,d^3\,e\,g\,x\,\sqrt{b^2-4\,a\,c}-8\,a^2\,c\,d\,e^3\,h\,x\,\sqrt{b^2-4\,a\,c}+2\,b^2\,c\,d^3\,e\,h\,x\,\sqrt{b^2-4\,a\,c}-10\,a\,b\,c^2\,d^2\,e^2\,g\,x-10\,a\,c^2\,d^2\,e^2\,g\,x\,\sqrt{b^2-4\,a\,c}+12\,b\,c^2\,d^2\,e^2\,f\,x\,\sqrt{b^2-4\,a\,c}+b^2\,c\,d^2\,e^2\,g\,x\,\sqrt{b^2-4\,a\,c}-10\,a\,b\,c\,d\,e^3\,f\,\sqrt{b^2-4\,a\,c}+10\,a\,b\,c\,d^3\,e\,h\,\sqrt{b^2-4\,a\,c}-4\,a\,b\,c\,e^4\,f\,x\,\sqrt{b^2-4\,a\,c}+28\,a\,b\,c^2\,d\,e^3\,f\,x+6\,a\,b^2\,c\,d\,e^3\,g\,x-12\,a\,b\,c^2\,d^3\,e\,h\,x-12\,a^2\,b\,c\,d\,e^3\,h\,x+6\,a\,b\,c\,d\,e^3\,g\,x\,\sqrt{b^2-4\,a\,c}-2\,a\,b\,c\,d^2\,e^2\,h\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^3\,d^2\,h-b^3\,e^2\,f+a\,b^2\,e^2\,g+4\,a\,c^2\,d^2\,g-4\,a^2\,c\,e^2\,g-b^2\,c\,d^2\,g-b^2\,e^2\,f\,\sqrt{b^2-4\,a\,c}-2\,c^2\,d^2\,f\,\sqrt{b^2-4\,a\,c}-2\,a^2\,e^2\,h\,\sqrt{b^2-4\,a\,c}-b^2\,d^2\,h\,\sqrt{b^2-4\,a\,c}+4\,a\,b\,c\,e^2\,f-4\,a\,b\,c\,d^2\,h-8\,a\,c^2\,d\,e\,f-2\,a\,b^2\,d\,e\,h+2\,b^2\,c\,d\,e\,f+8\,a^2\,c\,d\,e\,h+a\,b\,e^2\,g\,\sqrt{b^2-4\,a\,c}+2\,a\,c\,e^2\,f\,\sqrt{b^2-4\,a\,c}+2\,a\,c\,d^2\,h\,\sqrt{b^2-4\,a\,c}+b\,c\,d^2\,g\,\sqrt{b^2-4\,a\,c}+2\,a\,b\,d\,e\,h\,\sqrt{b^2-4\,a\,c}-4\,a\,c\,d\,e\,g\,\sqrt{b^2-4\,a\,c}+2\,b\,c\,d\,e\,f\,\sqrt{b^2-4\,a\,c}\right)}{2\,\left(4\,a^3\,c\,e^4-a^2\,b^2\,e^4-8\,a^2\,b\,c\,d\,e^3+8\,a^2\,c^2\,d^2\,e^2+2\,a\,b^3\,d\,e^3+2\,a\,b^2\,c\,d^2\,e^2-8\,a\,b\,c^2\,d^3\,e+4\,a\,c^3\,d^4-b^4\,d^2\,e^2+2\,b^3\,c\,d^3\,e-b^2\,c^2\,d^4\right)}-\frac{\ln\left(2\,a\,b^3\,e^4\,f-2\,b^2\,c^2\,d^4\,g-2\,a^2\,b^2\,e^4\,g+6\,a\,c^3\,d^4\,g+b\,c^3\,d^4\,f+a^3\,b\,e^4\,h+6\,a^3\,c\,e^4\,g+2\,b^3\,c\,d^4\,h+2\,b^4\,e^4\,f\,x+2\,c^4\,d^4\,f\,x+c^3\,d^4\,f\,\sqrt{b^2-4\,a\,c}-a^3\,e^4\,h\,\sqrt{b^2-4\,a\,c}-7\,a^2\,b\,c\,e^4\,f-7\,a\,b\,c^2\,d^4\,h-16\,a\,c^3\,d^3\,e\,f-16\,a^3\,c\,d\,e^3\,h-2\,a\,b^3\,e^4\,g\,x-2\,a\,c^3\,d^4\,h\,x-b\,c^3\,d^4\,g\,x-2\,a^3\,c\,e^4\,h\,x-2\,a\,b^2\,e^4\,f\,\sqrt{b^2-4\,a\,c}+2\,a^2\,b\,e^4\,g\,\sqrt{b^2-4\,a\,c}+a^2\,c\,e^4\,f\,\sqrt{b^2-4\,a\,c}-a\,c^2\,d^4\,h\,\sqrt{b^2-4\,a\,c}-2\,b\,c^2\,d^4\,g\,\sqrt{b^2-4\,a\,c}+2\,b^2\,c\,d^4\,h\,\sqrt{b^2-4\,a\,c}-2\,b^3\,e^4\,f\,x\,\sqrt{b^2-4\,a\,c}-3\,c^3\,d^4\,g\,x\,\sqrt{b^2-4\,a\,c}+16\,a^2\,c^2\,d\,e^3\,f-a\,b^3\,d^2\,e^2\,h+2\,a^2\,b^2\,d\,e^3\,h+2\,b^2\,c^2\,d^3\,e\,f-b^3\,c\,d^2\,e^2\,f+16\,a^2\,c^2\,d^3\,e\,h+2\,a^2\,c^2\,e^4\,f\,x+a^2\,b^2\,e^4\,h\,x+b^2\,c^2\,d^4\,h\,x-b^4\,d^2\,e^2\,h\,x-20\,a^2\,c^2\,d^2\,e^2\,g-14\,a\,c^2\,d^2\,e^2\,f\,\sqrt{b^2-4\,a\,c}+a\,b^2\,d^2\,e^2\,h\,\sqrt{b^2-4\,a\,c}-b^2\,c\,d^2\,e^2\,f\,\sqrt{b^2-4\,a\,c}+14\,a^2\,c\,d^2\,e^2\,h\,\sqrt{b^2-4\,a\,c}+b^3\,d^2\,e^2\,h\,x\,\sqrt{b^2-4\,a\,c}+10\,b^2\,c^2\,d^2\,e^2\,f\,x+28\,a^2\,c^2\,d^2\,e^2\,h\,x-6\,a\,b^2\,c\,d\,e^3\,f+4\,a\,b\,c^2\,d^3\,e\,g+4\,a^2\,b\,c\,d\,e^3\,g-6\,a\,b^2\,c\,d^3\,e\,h-8\,a\,b^2\,c\,e^4\,f\,x+7\,a^2\,b\,c\,e^4\,g\,x+2\,a\,b^3\,d\,e^3\,h\,x+16\,a\,c^3\,d^3\,e\,g\,x-4\,b\,c^3\,d^3\,e\,f\,x-8\,b^3\,c\,d\,e^3\,f\,x+2\,b^3\,c\,d^3\,e\,h\,x+8\,a\,c^2\,d^3\,e\,g\,\sqrt{b^2-4\,a\,c}+2\,b\,c^2\,d^3\,e\,f\,\sqrt{b^2-4\,a\,c}-2\,a^2\,b\,d\,e^3\,h\,\sqrt{b^2-4\,a\,c}-8\,a^2\,c\,d\,e^3\,g\,\sqrt{b^2-4\,a\,c}+2\,a\,b^2\,e^4\,g\,x\,\sqrt{b^2-4\,a\,c}-a^2\,b\,e^4\,h\,x\,\sqrt{b^2-4\,a\,c}-3\,a^2\,c\,e^4\,g\,x\,\sqrt{b^2-4\,a\,c}+3\,b\,c^2\,d^4\,h\,x\,\sqrt{b^2-4\,a\,c}+8\,c^3\,d^3\,e\,f\,x\,\sqrt{b^2-4\,a\,c}+10\,a\,b\,c^2\,d^2\,e^2\,f+2\,a\,b^2\,c\,d^2\,e^2\,g+10\,a^2\,b\,c\,d^2\,e^2\,h-28\,a\,c^3\,d^2\,e^2\,f\,x-16\,a^2\,c^2\,d\,e^3\,g\,x-2\,b^2\,c^2\,d^3\,e\,g\,x+b^3\,c\,d^2\,e^2\,g\,x-8\,a\,c^2\,d\,e^3\,f\,x\,\sqrt{b^2-4\,a\,c}-2\,a\,b^2\,d\,e^3\,h\,x\,\sqrt{b^2-4\,a\,c}+8\,b^2\,c\,d\,e^3\,f\,x\,\sqrt{b^2-4\,a\,c}-8\,a\,c^2\,d^3\,e\,h\,x\,\sqrt{b^2-4\,a\,c}+2\,b\,c^2\,d^3\,e\,g\,x\,\sqrt{b^2-4\,a\,c}+8\,a^2\,c\,d\,e^3\,h\,x\,\sqrt{b^2-4\,a\,c}-2\,b^2\,c\,d^3\,e\,h\,x\,\sqrt{b^2-4\,a\,c}-10\,a\,b\,c^2\,d^2\,e^2\,g\,x+10\,a\,c^2\,d^2\,e^2\,g\,x\,\sqrt{b^2-4\,a\,c}-12\,b\,c^2\,d^2\,e^2\,f\,x\,\sqrt{b^2-4\,a\,c}-b^2\,c\,d^2\,e^2\,g\,x\,\sqrt{b^2-4\,a\,c}+10\,a\,b\,c\,d\,e^3\,f\,\sqrt{b^2-4\,a\,c}-10\,a\,b\,c\,d^3\,e\,h\,\sqrt{b^2-4\,a\,c}+4\,a\,b\,c\,e^4\,f\,x\,\sqrt{b^2-4\,a\,c}+28\,a\,b\,c^2\,d\,e^3\,f\,x+6\,a\,b^2\,c\,d\,e^3\,g\,x-12\,a\,b\,c^2\,d^3\,e\,h\,x-12\,a^2\,b\,c\,d\,e^3\,h\,x-6\,a\,b\,c\,d\,e^3\,g\,x\,\sqrt{b^2-4\,a\,c}+2\,a\,b\,c\,d^2\,e^2\,h\,x\,\sqrt{b^2-4\,a\,c}\right)\,\left(b^3\,e^2\,f-b^3\,d^2\,h-a\,b^2\,e^2\,g-4\,a\,c^2\,d^2\,g+4\,a^2\,c\,e^2\,g+b^2\,c\,d^2\,g-b^2\,e^2\,f\,\sqrt{b^2-4\,a\,c}-2\,c^2\,d^2\,f\,\sqrt{b^2-4\,a\,c}-2\,a^2\,e^2\,h\,\sqrt{b^2-4\,a\,c}-b^2\,d^2\,h\,\sqrt{b^2-4\,a\,c}-4\,a\,b\,c\,e^2\,f+4\,a\,b\,c\,d^2\,h+8\,a\,c^2\,d\,e\,f+2\,a\,b^2\,d\,e\,h-2\,b^2\,c\,d\,e\,f-8\,a^2\,c\,d\,e\,h+a\,b\,e^2\,g\,\sqrt{b^2-4\,a\,c}+2\,a\,c\,e^2\,f\,\sqrt{b^2-4\,a\,c}+2\,a\,c\,d^2\,h\,\sqrt{b^2-4\,a\,c}+b\,c\,d^2\,g\,\sqrt{b^2-4\,a\,c}+2\,a\,b\,d\,e\,h\,\sqrt{b^2-4\,a\,c}-4\,a\,c\,d\,e\,g\,\sqrt{b^2-4\,a\,c}+2\,b\,c\,d\,e\,f\,\sqrt{b^2-4\,a\,c}\right)}{2\,\left(4\,a^3\,c\,e^4-a^2\,b^2\,e^4-8\,a^2\,b\,c\,d\,e^3+8\,a^2\,c^2\,d^2\,e^2+2\,a\,b^3\,d\,e^3+2\,a\,b^2\,c\,d^2\,e^2-8\,a\,b\,c^2\,d^3\,e+4\,a\,c^3\,d^4-b^4\,d^2\,e^2+2\,b^3\,c\,d^3\,e-b^2\,c^2\,d^4\right)}-\frac{h\,d^2-g\,d\,e+f\,e^2}{e\,\left(d+e\,x\right)\,\left(c\,d^2-b\,d\,e+a\,e^2\right)}","Not used",1,"(log(d + e*x)*(e^2*(a*g - b*f) + d^2*(b*h - c*g) - d*e*(2*a*h - 2*c*f)))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2) + (log(2*a*b^3*e^4*f - 2*b^2*c^2*d^4*g - 2*a^2*b^2*e^4*g + 6*a*c^3*d^4*g + b*c^3*d^4*f + a^3*b*e^4*h + 6*a^3*c*e^4*g + 2*b^3*c*d^4*h + 2*b^4*e^4*f*x + 2*c^4*d^4*f*x - c^3*d^4*f*(b^2 - 4*a*c)^(1/2) + a^3*e^4*h*(b^2 - 4*a*c)^(1/2) - 7*a^2*b*c*e^4*f - 7*a*b*c^2*d^4*h - 16*a*c^3*d^3*e*f - 16*a^3*c*d*e^3*h - 2*a*b^3*e^4*g*x - 2*a*c^3*d^4*h*x - b*c^3*d^4*g*x - 2*a^3*c*e^4*h*x + 2*a*b^2*e^4*f*(b^2 - 4*a*c)^(1/2) - 2*a^2*b*e^4*g*(b^2 - 4*a*c)^(1/2) - a^2*c*e^4*f*(b^2 - 4*a*c)^(1/2) + a*c^2*d^4*h*(b^2 - 4*a*c)^(1/2) + 2*b*c^2*d^4*g*(b^2 - 4*a*c)^(1/2) - 2*b^2*c*d^4*h*(b^2 - 4*a*c)^(1/2) + 2*b^3*e^4*f*x*(b^2 - 4*a*c)^(1/2) + 3*c^3*d^4*g*x*(b^2 - 4*a*c)^(1/2) + 16*a^2*c^2*d*e^3*f - a*b^3*d^2*e^2*h + 2*a^2*b^2*d*e^3*h + 2*b^2*c^2*d^3*e*f - b^3*c*d^2*e^2*f + 16*a^2*c^2*d^3*e*h + 2*a^2*c^2*e^4*f*x + a^2*b^2*e^4*h*x + b^2*c^2*d^4*h*x - b^4*d^2*e^2*h*x - 20*a^2*c^2*d^2*e^2*g + 14*a*c^2*d^2*e^2*f*(b^2 - 4*a*c)^(1/2) - a*b^2*d^2*e^2*h*(b^2 - 4*a*c)^(1/2) + b^2*c*d^2*e^2*f*(b^2 - 4*a*c)^(1/2) - 14*a^2*c*d^2*e^2*h*(b^2 - 4*a*c)^(1/2) - b^3*d^2*e^2*h*x*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^2*f*x + 28*a^2*c^2*d^2*e^2*h*x - 6*a*b^2*c*d*e^3*f + 4*a*b*c^2*d^3*e*g + 4*a^2*b*c*d*e^3*g - 6*a*b^2*c*d^3*e*h - 8*a*b^2*c*e^4*f*x + 7*a^2*b*c*e^4*g*x + 2*a*b^3*d*e^3*h*x + 16*a*c^3*d^3*e*g*x - 4*b*c^3*d^3*e*f*x - 8*b^3*c*d*e^3*f*x + 2*b^3*c*d^3*e*h*x - 8*a*c^2*d^3*e*g*(b^2 - 4*a*c)^(1/2) - 2*b*c^2*d^3*e*f*(b^2 - 4*a*c)^(1/2) + 2*a^2*b*d*e^3*h*(b^2 - 4*a*c)^(1/2) + 8*a^2*c*d*e^3*g*(b^2 - 4*a*c)^(1/2) - 2*a*b^2*e^4*g*x*(b^2 - 4*a*c)^(1/2) + a^2*b*e^4*h*x*(b^2 - 4*a*c)^(1/2) + 3*a^2*c*e^4*g*x*(b^2 - 4*a*c)^(1/2) - 3*b*c^2*d^4*h*x*(b^2 - 4*a*c)^(1/2) - 8*c^3*d^3*e*f*x*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d^2*e^2*f + 2*a*b^2*c*d^2*e^2*g + 10*a^2*b*c*d^2*e^2*h - 28*a*c^3*d^2*e^2*f*x - 16*a^2*c^2*d*e^3*g*x - 2*b^2*c^2*d^3*e*g*x + b^3*c*d^2*e^2*g*x + 8*a*c^2*d*e^3*f*x*(b^2 - 4*a*c)^(1/2) + 2*a*b^2*d*e^3*h*x*(b^2 - 4*a*c)^(1/2) - 8*b^2*c*d*e^3*f*x*(b^2 - 4*a*c)^(1/2) + 8*a*c^2*d^3*e*h*x*(b^2 - 4*a*c)^(1/2) - 2*b*c^2*d^3*e*g*x*(b^2 - 4*a*c)^(1/2) - 8*a^2*c*d*e^3*h*x*(b^2 - 4*a*c)^(1/2) + 2*b^2*c*d^3*e*h*x*(b^2 - 4*a*c)^(1/2) - 10*a*b*c^2*d^2*e^2*g*x - 10*a*c^2*d^2*e^2*g*x*(b^2 - 4*a*c)^(1/2) + 12*b*c^2*d^2*e^2*f*x*(b^2 - 4*a*c)^(1/2) + b^2*c*d^2*e^2*g*x*(b^2 - 4*a*c)^(1/2) - 10*a*b*c*d*e^3*f*(b^2 - 4*a*c)^(1/2) + 10*a*b*c*d^3*e*h*(b^2 - 4*a*c)^(1/2) - 4*a*b*c*e^4*f*x*(b^2 - 4*a*c)^(1/2) + 28*a*b*c^2*d*e^3*f*x + 6*a*b^2*c*d*e^3*g*x - 12*a*b*c^2*d^3*e*h*x - 12*a^2*b*c*d*e^3*h*x + 6*a*b*c*d*e^3*g*x*(b^2 - 4*a*c)^(1/2) - 2*a*b*c*d^2*e^2*h*x*(b^2 - 4*a*c)^(1/2))*(b^3*d^2*h - b^3*e^2*f + a*b^2*e^2*g + 4*a*c^2*d^2*g - 4*a^2*c*e^2*g - b^2*c*d^2*g - b^2*e^2*f*(b^2 - 4*a*c)^(1/2) - 2*c^2*d^2*f*(b^2 - 4*a*c)^(1/2) - 2*a^2*e^2*h*(b^2 - 4*a*c)^(1/2) - b^2*d^2*h*(b^2 - 4*a*c)^(1/2) + 4*a*b*c*e^2*f - 4*a*b*c*d^2*h - 8*a*c^2*d*e*f - 2*a*b^2*d*e*h + 2*b^2*c*d*e*f + 8*a^2*c*d*e*h + a*b*e^2*g*(b^2 - 4*a*c)^(1/2) + 2*a*c*e^2*f*(b^2 - 4*a*c)^(1/2) + 2*a*c*d^2*h*(b^2 - 4*a*c)^(1/2) + b*c*d^2*g*(b^2 - 4*a*c)^(1/2) + 2*a*b*d*e*h*(b^2 - 4*a*c)^(1/2) - 4*a*c*d*e*g*(b^2 - 4*a*c)^(1/2) + 2*b*c*d*e*f*(b^2 - 4*a*c)^(1/2)))/(2*(4*a*c^3*d^4 + 4*a^3*c*e^4 - a^2*b^2*e^4 - b^2*c^2*d^4 - b^4*d^2*e^2 + 8*a^2*c^2*d^2*e^2 + 2*a*b^3*d*e^3 + 2*b^3*c*d^3*e - 8*a*b*c^2*d^3*e - 8*a^2*b*c*d*e^3 + 2*a*b^2*c*d^2*e^2)) - (log(2*a*b^3*e^4*f - 2*b^2*c^2*d^4*g - 2*a^2*b^2*e^4*g + 6*a*c^3*d^4*g + b*c^3*d^4*f + a^3*b*e^4*h + 6*a^3*c*e^4*g + 2*b^3*c*d^4*h + 2*b^4*e^4*f*x + 2*c^4*d^4*f*x + c^3*d^4*f*(b^2 - 4*a*c)^(1/2) - a^3*e^4*h*(b^2 - 4*a*c)^(1/2) - 7*a^2*b*c*e^4*f - 7*a*b*c^2*d^4*h - 16*a*c^3*d^3*e*f - 16*a^3*c*d*e^3*h - 2*a*b^3*e^4*g*x - 2*a*c^3*d^4*h*x - b*c^3*d^4*g*x - 2*a^3*c*e^4*h*x - 2*a*b^2*e^4*f*(b^2 - 4*a*c)^(1/2) + 2*a^2*b*e^4*g*(b^2 - 4*a*c)^(1/2) + a^2*c*e^4*f*(b^2 - 4*a*c)^(1/2) - a*c^2*d^4*h*(b^2 - 4*a*c)^(1/2) - 2*b*c^2*d^4*g*(b^2 - 4*a*c)^(1/2) + 2*b^2*c*d^4*h*(b^2 - 4*a*c)^(1/2) - 2*b^3*e^4*f*x*(b^2 - 4*a*c)^(1/2) - 3*c^3*d^4*g*x*(b^2 - 4*a*c)^(1/2) + 16*a^2*c^2*d*e^3*f - a*b^3*d^2*e^2*h + 2*a^2*b^2*d*e^3*h + 2*b^2*c^2*d^3*e*f - b^3*c*d^2*e^2*f + 16*a^2*c^2*d^3*e*h + 2*a^2*c^2*e^4*f*x + a^2*b^2*e^4*h*x + b^2*c^2*d^4*h*x - b^4*d^2*e^2*h*x - 20*a^2*c^2*d^2*e^2*g - 14*a*c^2*d^2*e^2*f*(b^2 - 4*a*c)^(1/2) + a*b^2*d^2*e^2*h*(b^2 - 4*a*c)^(1/2) - b^2*c*d^2*e^2*f*(b^2 - 4*a*c)^(1/2) + 14*a^2*c*d^2*e^2*h*(b^2 - 4*a*c)^(1/2) + b^3*d^2*e^2*h*x*(b^2 - 4*a*c)^(1/2) + 10*b^2*c^2*d^2*e^2*f*x + 28*a^2*c^2*d^2*e^2*h*x - 6*a*b^2*c*d*e^3*f + 4*a*b*c^2*d^3*e*g + 4*a^2*b*c*d*e^3*g - 6*a*b^2*c*d^3*e*h - 8*a*b^2*c*e^4*f*x + 7*a^2*b*c*e^4*g*x + 2*a*b^3*d*e^3*h*x + 16*a*c^3*d^3*e*g*x - 4*b*c^3*d^3*e*f*x - 8*b^3*c*d*e^3*f*x + 2*b^3*c*d^3*e*h*x + 8*a*c^2*d^3*e*g*(b^2 - 4*a*c)^(1/2) + 2*b*c^2*d^3*e*f*(b^2 - 4*a*c)^(1/2) - 2*a^2*b*d*e^3*h*(b^2 - 4*a*c)^(1/2) - 8*a^2*c*d*e^3*g*(b^2 - 4*a*c)^(1/2) + 2*a*b^2*e^4*g*x*(b^2 - 4*a*c)^(1/2) - a^2*b*e^4*h*x*(b^2 - 4*a*c)^(1/2) - 3*a^2*c*e^4*g*x*(b^2 - 4*a*c)^(1/2) + 3*b*c^2*d^4*h*x*(b^2 - 4*a*c)^(1/2) + 8*c^3*d^3*e*f*x*(b^2 - 4*a*c)^(1/2) + 10*a*b*c^2*d^2*e^2*f + 2*a*b^2*c*d^2*e^2*g + 10*a^2*b*c*d^2*e^2*h - 28*a*c^3*d^2*e^2*f*x - 16*a^2*c^2*d*e^3*g*x - 2*b^2*c^2*d^3*e*g*x + b^3*c*d^2*e^2*g*x - 8*a*c^2*d*e^3*f*x*(b^2 - 4*a*c)^(1/2) - 2*a*b^2*d*e^3*h*x*(b^2 - 4*a*c)^(1/2) + 8*b^2*c*d*e^3*f*x*(b^2 - 4*a*c)^(1/2) - 8*a*c^2*d^3*e*h*x*(b^2 - 4*a*c)^(1/2) + 2*b*c^2*d^3*e*g*x*(b^2 - 4*a*c)^(1/2) + 8*a^2*c*d*e^3*h*x*(b^2 - 4*a*c)^(1/2) - 2*b^2*c*d^3*e*h*x*(b^2 - 4*a*c)^(1/2) - 10*a*b*c^2*d^2*e^2*g*x + 10*a*c^2*d^2*e^2*g*x*(b^2 - 4*a*c)^(1/2) - 12*b*c^2*d^2*e^2*f*x*(b^2 - 4*a*c)^(1/2) - b^2*c*d^2*e^2*g*x*(b^2 - 4*a*c)^(1/2) + 10*a*b*c*d*e^3*f*(b^2 - 4*a*c)^(1/2) - 10*a*b*c*d^3*e*h*(b^2 - 4*a*c)^(1/2) + 4*a*b*c*e^4*f*x*(b^2 - 4*a*c)^(1/2) + 28*a*b*c^2*d*e^3*f*x + 6*a*b^2*c*d*e^3*g*x - 12*a*b*c^2*d^3*e*h*x - 12*a^2*b*c*d*e^3*h*x - 6*a*b*c*d*e^3*g*x*(b^2 - 4*a*c)^(1/2) + 2*a*b*c*d^2*e^2*h*x*(b^2 - 4*a*c)^(1/2))*(b^3*e^2*f - b^3*d^2*h - a*b^2*e^2*g - 4*a*c^2*d^2*g + 4*a^2*c*e^2*g + b^2*c*d^2*g - b^2*e^2*f*(b^2 - 4*a*c)^(1/2) - 2*c^2*d^2*f*(b^2 - 4*a*c)^(1/2) - 2*a^2*e^2*h*(b^2 - 4*a*c)^(1/2) - b^2*d^2*h*(b^2 - 4*a*c)^(1/2) - 4*a*b*c*e^2*f + 4*a*b*c*d^2*h + 8*a*c^2*d*e*f + 2*a*b^2*d*e*h - 2*b^2*c*d*e*f - 8*a^2*c*d*e*h + a*b*e^2*g*(b^2 - 4*a*c)^(1/2) + 2*a*c*e^2*f*(b^2 - 4*a*c)^(1/2) + 2*a*c*d^2*h*(b^2 - 4*a*c)^(1/2) + b*c*d^2*g*(b^2 - 4*a*c)^(1/2) + 2*a*b*d*e*h*(b^2 - 4*a*c)^(1/2) - 4*a*c*d*e*g*(b^2 - 4*a*c)^(1/2) + 2*b*c*d*e*f*(b^2 - 4*a*c)^(1/2)))/(2*(4*a*c^3*d^4 + 4*a^3*c*e^4 - a^2*b^2*e^4 - b^2*c^2*d^4 - b^4*d^2*e^2 + 8*a^2*c^2*d^2*e^2 + 2*a*b^3*d*e^3 + 2*b^3*c*d^3*e - 8*a*b*c^2*d^3*e - 8*a^2*b*c*d*e^3 + 2*a*b^2*c*d^2*e^2)) - (e^2*f + d^2*h - d*e*g)/(e*(d + e*x)*(a*e^2 + c*d^2 - b*d*e))","B"
154,1,12784,509,6.819457,"\text{Not used}","int((f + g*x + h*x^2)/((d + e*x)^3*(a + b*x + c*x^2)),x)","\left(\sum 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a^6*b^2*e^12*z^3 - 9*a^3*b^2*c*d*e^5*g*h*z - 9*a*b^2*c^3*d^5*e*g*h*z - 30*a^3*b*c^2*d*e^5*f*h*z + 9*a^2*b^3*c*d*e^5*f*h*z + 3*a*b^4*c*d^2*e^4*f*h*z + 27*a*b*c^4*d^4*e^2*f*g*z + 6*a^2*b^2*c^2*d^3*e^3*g*h*z - 33*a^2*b^2*c^2*d^2*e^4*f*h*z + 18*a*b*c^4*d^5*e*f*h*z - 12*a*b^4*c*d*e^5*f*g*z + 27*a^3*b*c^2*d^2*e^4*g*h*z + 27*a^2*b*c^3*d^4*e^2*g*h*z - 3*a^2*b^3*c*d^2*e^4*g*h*z - 3*a*b^3*c^2*d^4*e^2*g*h*z + 52*a^2*b*c^3*d^3*e^3*f*h*z - 4*a*b^3*c^2*d^3*e^3*f*h*z - 3*a*b^2*c^3*d^4*e^2*f*h*z - 93*a^2*b*c^3*d^2*e^4*f*g*z + 51*a^2*b^2*c^2*d*e^5*f*g*z - 34*a*b^2*c^3*d^3*e^3*f*g*z + 27*a*b^3*c^2*d^2*e^4*f*g*z - 24*a*c^5*d^5*e*f*g*z - 7*a^4*b*c*e^6*g*h*z - 7*a*b*c^4*d^6*g*h*z + a*b^4*c*d^3*e^3*g*h*z - 80*a^3*c^3*d^3*e^3*g*h*z + 3*b^4*c^2*d^4*e^2*f*h*z - 66*a^2*c^4*d^4*e^2*f*h*z + 54*a^3*c^3*d^2*e^4*f*h*z - 3*b^3*c^3*d^4*e^2*f*g*z + 80*a^2*c^4*d^3*e^3*f*g*z - 21*a^2*b*c^3*d^5*e*h^2*z + 6*a*b^3*c^2*d^5*e*h^2*z - 21*a^3*b*c^2*d*e^5*g^2*z + 6*a^2*b^3*c*d*e^5*g^2*z - 66*a*b*c^4*d^3*e^3*f^2*z - 30*a*b^3*c^2*d*e^5*f^2*z + 27*a^2*b*c^3*d*e^5*f^2*z - 12*a^2*b^2*c^2*d^4*e^2*h^2*z - 12*a^2*b^2*c^2*d^2*e^4*g^2*z + 24*a^4*c^2*d*e^5*g*h*z + 24*a^2*c^4*d^5*e*g*h*z - 3*b^3*c^3*d^5*e*f*h*z - b^5*c*d^3*e^3*f*h*z + 3*b^2*c^4*d^5*e*f*g*z - 24*a^3*c^3*d*e^5*f*g*z + 9*a^3*b^2*c*e^6*f*h*z - 10*a^2*b^3*c*e^6*f*g*z + 9*a^3*b*c^2*e^6*f*g*z + 3*a^4*b*c*d*e^5*h^2*z + 3*a*b*c^4*d^5*e*g^2*z + 14*a^3*b*c^2*d^3*e^3*h^2*z + 3*a^3*b^2*c*d^2*e^4*h^2*z - a^2*b^3*c*d^3*e^3*h^2*z + 14*a^2*b*c^3*d^3*e^3*g^2*z + 3*a*b^2*c^3*d^4*e^2*g^2*z - a*b^3*c^2*d^3*e^3*g^2*z + 63*a*b^2*c^3*d^2*e^4*f^2*z + 2*b^3*c^3*d^6*g*h*z - 6*a^4*c^2*e^6*f*h*z + 2*a^3*b^3*e^6*g*h*z - b^2*c^4*d^6*f*h*z - 2*a^2*b^4*e^6*f*h*z + 6*b^5*c*d*e^5*f^2*z + 3*b*c^5*d^5*e*f^2*z + 6*a*b^4*c*e^6*f^2*z + b^4*c^2*d^3*e^3*f*g*z + 33*a^3*c^3*d^4*e^2*h^2*z - 27*a^4*c^2*d^2*e^4*h^2*z + 33*a^3*c^3*d^2*e^4*g^2*z - 27*a^2*c^4*d^4*e^2*g^2*z + 19*b^3*c^3*d^3*e^3*f^2*z - 15*b^4*c^2*d^2*e^4*f^2*z - 12*b^2*c^4*d^4*e^2*f^2*z - 27*a^2*c^4*d^2*e^4*f^2*z - 9*a^2*b^2*c^2*e^6*f^2*z + 2*a*c^5*d^6*f*h*z + 2*a*b^5*e^6*f*g*z + 33*a*c^5*d^4*e^2*f^2*z + 4*a^3*b^2*c*e^6*g^2*z + 4*a*b^2*c^3*d^6*h^2*z - b^4*c^2*d^6*h^2*z - b^2*c^4*d^6*g^2*z - a^4*c^2*e^6*g^2*z - a^4*b^2*e^6*h^2*z - a^2*c^4*d^6*h^2*z + 3*a^3*c^3*e^6*f^2*z - a^2*b^4*e^6*g^2*z + b*c^5*d^6*f*g*z + 3*a^5*c*e^6*h^2*z + 3*a*c^5*d^6*g^2*z - c^6*d^6*f^2*z - b^6*e^6*f^2*z + 6*a*b^2*c^2*d*e^2*f*g*h - 2*a*b^3*c*e^3*f*g*h + 3*a^2*b*c^2*d^2*e*g*h^2 - 3*a^2*b*c^2*d*e^2*g^2*h - 3*a^2*b*c^2*d*e^2*f*h^2 - 3*a*b^2*c^2*d^2*e*f*h^2 - 6*a^2*c^3*d*e^2*f*g*h + 2*a^2*b*c^2*e^3*f*g*h + 6*a*b*c^3*d*e^2*f^2*h - 6*a*b*c^3*d*e^2*f*g^2 - 2*b^2*c^3*d^3*f*g*h - 9*a*c^4*d^2*e*f^2*h - 3*b*c^4*d^2*e*f^2*g + 3*a*c^4*d^2*e*f*g^2 + 3*a*c^4*d*e^2*f^2*g - 2*a^3*b*c*e^3*g*h^2 + 2*a*b*c^3*d^3*g^2*h - 2*a*b*c^3*d^3*f*h^2 + 2*a*c^4*d^3*f*g*h - 3*b^3*c^2*d*e^2*f^2*h + 3*b^2*c^3*d^2*e*f^2*h + 3*a^3*c^2*d*e^2*g*h^2 - 3*a^2*c^3*d^2*e*g^2*h + 9*a^2*c^3*d^2*e*f*h^2 + 3*b^2*c^3*d*e^2*f^2*g - 3*a*b^2*c^2*e^3*f^2*h + 2*a^2*b^2*c*e^3*f*h^2 - a*b^2*c^2*d^3*g*h^2 + 2*a*b^2*c^2*e^3*f*g^2 - 3*a^3*c^2*e^3*f*h^2 + 3*a^2*c^3*e^3*f^2*h - b^3*c^2*e^3*f^2*g - a^2*c^3*d^3*g*h^2 - a^2*c^3*e^3*f*g^2 - 3*a^3*c^2*d^2*e*h^3 + 3*a^2*c^3*d*e^2*g^3 - a^2*b*c^2*e^3*g^3 - 3*b*c^4*d*e^2*f^3 + a^2*b^2*c*e^3*g^2*h + a^3*c^2*e^3*g^2*h + b^3*c^2*d^3*f*h^2 + a^2*b*c^2*d^3*h^3 + b^4*c*e^3*f^2*h + b*c^4*d^3*f^2*h + b*c^4*d^3*f*g^2 - c^5*d^3*f^2*g + 3*c^5*d^2*e*f^3 - a*c^4*e^3*f^3 - a*c^4*d^3*g^3 + b^2*c^3*e^3*f^3 + a^4*c*e^3*h^3, z, k)*(root(24*a^6*b*c*d*e^11*z^3 + 24*a*b*c^6*d^11*e*z^3 + 240*a^4*b*c^3*d^5*e^7*z^3 + 240*a^3*b*c^4*d^7*e^5*z^3 + 120*a^5*b*c^2*d^3*e^9*z^3 + 120*a^2*b*c^5*d^9*e^3*z^3 - 54*a^5*b^2*c*d^2*e^10*z^3 - 54*a*b^2*c^5*d^10*e^2*z^3 + 50*a^4*b^3*c*d^3*e^9*z^3 + 50*a*b^3*c^4*d^9*e^3*z^3 - 36*a^2*b^5*c*d^5*e^7*z^3 - 36*a*b^5*c^2*d^7*e^5*z^3 + 26*a*b^6*c*d^6*e^6*z^3 - 340*a^3*b^2*c^3*d^6*e^6*z^3 - 225*a^4*b^2*c^2*d^4*e^8*z^3 - 225*a^2*b^2*c^4*d^8*e^4*z^3 + 180*a^3*b^3*c^2*d^5*e^7*z^3 + 180*a^2*b^3*c^3*d^7*e^5*z^3 - 30*a^2*b^4*c^2*d^6*e^6*z^3 - 6*b^7*c*d^7*e^5*z^3 - 6*b^3*c^5*d^11*e*z^3 - 6*a^5*b^3*d*e^11*z^3 - 6*a*b^7*d^5*e^7*z^3 - 20*b^5*c^3*d^9*e^3*z^3 + 15*b^6*c^2*d^8*e^4*z^3 + 15*b^4*c^4*d^10*e^2*z^3 - 80*a^4*c^4*d^6*e^6*z^3 - 60*a^5*c^3*d^4*e^8*z^3 - 60*a^3*c^5*d^8*e^4*z^3 - 24*a^6*c^2*d^2*e^10*z^3 - 24*a^2*c^6*d^10*e^2*z^3 - 20*a^3*b^5*d^3*e^9*z^3 + 15*a^4*b^4*d^2*e^10*z^3 + 15*a^2*b^6*d^4*e^8*z^3 - 4*a^7*c*e^12*z^3 - 4*a*c^7*d^12*z^3 + b^8*d^6*e^6*z^3 + b^2*c^6*d^12*z^3 + a^6*b^2*e^12*z^3 - 9*a^3*b^2*c*d*e^5*g*h*z - 9*a*b^2*c^3*d^5*e*g*h*z - 30*a^3*b*c^2*d*e^5*f*h*z + 9*a^2*b^3*c*d*e^5*f*h*z + 3*a*b^4*c*d^2*e^4*f*h*z + 27*a*b*c^4*d^4*e^2*f*g*z + 6*a^2*b^2*c^2*d^3*e^3*g*h*z - 33*a^2*b^2*c^2*d^2*e^4*f*h*z + 18*a*b*c^4*d^5*e*f*h*z - 12*a*b^4*c*d*e^5*f*g*z + 27*a^3*b*c^2*d^2*e^4*g*h*z + 27*a^2*b*c^3*d^4*e^2*g*h*z - 3*a^2*b^3*c*d^2*e^4*g*h*z - 3*a*b^3*c^2*d^4*e^2*g*h*z + 52*a^2*b*c^3*d^3*e^3*f*h*z - 4*a*b^3*c^2*d^3*e^3*f*h*z - 3*a*b^2*c^3*d^4*e^2*f*h*z - 93*a^2*b*c^3*d^2*e^4*f*g*z + 51*a^2*b^2*c^2*d*e^5*f*g*z - 34*a*b^2*c^3*d^3*e^3*f*g*z + 27*a*b^3*c^2*d^2*e^4*f*g*z - 24*a*c^5*d^5*e*f*g*z - 7*a^4*b*c*e^6*g*h*z - 7*a*b*c^4*d^6*g*h*z + a*b^4*c*d^3*e^3*g*h*z - 80*a^3*c^3*d^3*e^3*g*h*z + 3*b^4*c^2*d^4*e^2*f*h*z - 66*a^2*c^4*d^4*e^2*f*h*z + 54*a^3*c^3*d^2*e^4*f*h*z - 3*b^3*c^3*d^4*e^2*f*g*z + 80*a^2*c^4*d^3*e^3*f*g*z - 21*a^2*b*c^3*d^5*e*h^2*z + 6*a*b^3*c^2*d^5*e*h^2*z - 21*a^3*b*c^2*d*e^5*g^2*z + 6*a^2*b^3*c*d*e^5*g^2*z - 66*a*b*c^4*d^3*e^3*f^2*z - 30*a*b^3*c^2*d*e^5*f^2*z + 27*a^2*b*c^3*d*e^5*f^2*z - 12*a^2*b^2*c^2*d^4*e^2*h^2*z - 12*a^2*b^2*c^2*d^2*e^4*g^2*z + 24*a^4*c^2*d*e^5*g*h*z + 24*a^2*c^4*d^5*e*g*h*z - 3*b^3*c^3*d^5*e*f*h*z - b^5*c*d^3*e^3*f*h*z + 3*b^2*c^4*d^5*e*f*g*z - 24*a^3*c^3*d*e^5*f*g*z + 9*a^3*b^2*c*e^6*f*h*z - 10*a^2*b^3*c*e^6*f*g*z + 9*a^3*b*c^2*e^6*f*g*z + 3*a^4*b*c*d*e^5*h^2*z + 3*a*b*c^4*d^5*e*g^2*z + 14*a^3*b*c^2*d^3*e^3*h^2*z + 3*a^3*b^2*c*d^2*e^4*h^2*z - a^2*b^3*c*d^3*e^3*h^2*z + 14*a^2*b*c^3*d^3*e^3*g^2*z + 3*a*b^2*c^3*d^4*e^2*g^2*z - a*b^3*c^2*d^3*e^3*g^2*z + 63*a*b^2*c^3*d^2*e^4*f^2*z + 2*b^3*c^3*d^6*g*h*z - 6*a^4*c^2*e^6*f*h*z + 2*a^3*b^3*e^6*g*h*z - b^2*c^4*d^6*f*h*z - 2*a^2*b^4*e^6*f*h*z + 6*b^5*c*d*e^5*f^2*z + 3*b*c^5*d^5*e*f^2*z + 6*a*b^4*c*e^6*f^2*z + b^4*c^2*d^3*e^3*f*g*z + 33*a^3*c^3*d^4*e^2*h^2*z - 27*a^4*c^2*d^2*e^4*h^2*z + 33*a^3*c^3*d^2*e^4*g^2*z - 27*a^2*c^4*d^4*e^2*g^2*z + 19*b^3*c^3*d^3*e^3*f^2*z - 15*b^4*c^2*d^2*e^4*f^2*z - 12*b^2*c^4*d^4*e^2*f^2*z - 27*a^2*c^4*d^2*e^4*f^2*z - 9*a^2*b^2*c^2*e^6*f^2*z + 2*a*c^5*d^6*f*h*z + 2*a*b^5*e^6*f*g*z + 33*a*c^5*d^4*e^2*f^2*z + 4*a^3*b^2*c*e^6*g^2*z + 4*a*b^2*c^3*d^6*h^2*z - b^4*c^2*d^6*h^2*z - b^2*c^4*d^6*g^2*z - a^4*c^2*e^6*g^2*z - a^4*b^2*e^6*h^2*z - a^2*c^4*d^6*h^2*z + 3*a^3*c^3*e^6*f^2*z - a^2*b^4*e^6*g^2*z + b*c^5*d^6*f*g*z + 3*a^5*c*e^6*h^2*z + 3*a*c^5*d^6*g^2*z - c^6*d^6*f^2*z - b^6*e^6*f^2*z + 6*a*b^2*c^2*d*e^2*f*g*h - 2*a*b^3*c*e^3*f*g*h + 3*a^2*b*c^2*d^2*e*g*h^2 - 3*a^2*b*c^2*d*e^2*g^2*h - 3*a^2*b*c^2*d*e^2*f*h^2 - 3*a*b^2*c^2*d^2*e*f*h^2 - 6*a^2*c^3*d*e^2*f*g*h + 2*a^2*b*c^2*e^3*f*g*h + 6*a*b*c^3*d*e^2*f^2*h - 6*a*b*c^3*d*e^2*f*g^2 - 2*b^2*c^3*d^3*f*g*h - 9*a*c^4*d^2*e*f^2*h - 3*b*c^4*d^2*e*f^2*g + 3*a*c^4*d^2*e*f*g^2 + 3*a*c^4*d*e^2*f^2*g - 2*a^3*b*c*e^3*g*h^2 + 2*a*b*c^3*d^3*g^2*h - 2*a*b*c^3*d^3*f*h^2 + 2*a*c^4*d^3*f*g*h - 3*b^3*c^2*d*e^2*f^2*h + 3*b^2*c^3*d^2*e*f^2*h + 3*a^3*c^2*d*e^2*g*h^2 - 3*a^2*c^3*d^2*e*g^2*h + 9*a^2*c^3*d^2*e*f*h^2 + 3*b^2*c^3*d*e^2*f^2*g - 3*a*b^2*c^2*e^3*f^2*h + 2*a^2*b^2*c*e^3*f*h^2 - a*b^2*c^2*d^3*g*h^2 + 2*a*b^2*c^2*e^3*f*g^2 - 3*a^3*c^2*e^3*f*h^2 + 3*a^2*c^3*e^3*f^2*h - b^3*c^2*e^3*f^2*g - a^2*c^3*d^3*g*h^2 - a^2*c^3*e^3*f*g^2 - 3*a^3*c^2*d^2*e*h^3 + 3*a^2*c^3*d*e^2*g^3 - a^2*b*c^2*e^3*g^3 - 3*b*c^4*d*e^2*f^3 + a^2*b^2*c*e^3*g^2*h + a^3*c^2*e^3*g^2*h + b^3*c^2*d^3*f*h^2 + a^2*b*c^2*d^3*h^3 + b^4*c*e^3*f^2*h + b*c^4*d^3*f^2*h + b*c^4*d^3*f*g^2 - c^5*d^3*f^2*g + 3*c^5*d^2*e*f^3 - a*c^4*e^3*f^3 - a*c^4*d^3*g^3 + b^2*c^3*e^3*f^3 + a^4*c*e^3*h^3, z, k)*((8*a*c^6*d^9*e^2 + 8*a^5*c^2*d*e^10 - b^6*c*d^5*e^6 + 32*a^2*c^5*d^7*e^4 + 48*a^3*c^4*d^5*e^6 + 32*a^4*c^3*d^3*e^8 + 3*b^2*c^5*d^9*e^2 - 2*b^3*c^4*d^8*e^3 - 2*b^4*c^3*d^7*e^4 + 3*b^5*c^2*d^6*e^5 - a^5*b*c*e^11 - b*c^6*d^10*e + 114*a^2*b^2*c^3*d^5*e^6 - 38*a^2*b^3*c^2*d^4*e^7 + 60*a^3*b^2*c^2*d^3*e^8 - 37*a*b*c^5*d^8*e^3 + 3*a*b^5*c*d^4*e^7 + 3*a^4*b^2*c*d*e^10 + 60*a*b^2*c^4*d^7*e^4 - 38*a*b^3*c^3*d^6*e^5 + 4*a*b^4*c^2*d^5*e^6 - 106*a^2*b*c^4*d^6*e^5 - 2*a^2*b^4*c*d^3*e^8 - 106*a^3*b*c^3*d^4*e^7 - 2*a^3*b^3*c*d^2*e^9 - 37*a^4*b*c^2*d^2*e^9)/(a^4*e^8 + c^4*d^8 + b^4*d^4*e^4 - 4*a*b^3*d^3*e^5 + 4*a*c^3*d^6*e^2 + 4*a^3*c*d^2*e^6 - 4*b^3*c*d^5*e^3 + 6*a^2*b^2*d^2*e^6 + 6*a^2*c^2*d^4*e^4 + 6*b^2*c^2*d^6*e^2 - 4*a^3*b*d*e^7 - 4*b*c^3*d^7*e - 12*a*b*c^2*d^5*e^3 + 12*a*b^2*c*d^4*e^4 - 12*a^2*b*c*d^3*e^5) + (x*(6*a^5*c^2*e^11 - 2*c^7*d^10*e - 2*a^4*b^2*c*e^11 - 2*a*c^6*d^8*e^3 + 10*b*c^6*d^9*e^2 - 2*b^6*c*d^4*e^7 + 12*a^2*c^5*d^6*e^5 + 28*a^3*c^4*d^4*e^7 + 22*a^4*c^3*d^2*e^9 - 22*b^2*c^5*d^8*e^3 + 28*b^3*c^4*d^7*e^4 - 22*b^4*c^3*d^6*e^5 + 10*b^5*c^2*d^5*e^6 + 24*a^2*b^2*c^3*d^4*e^7 + 12*a^2*b^3*c^2*d^3*e^8 + 20*a^3*b^2*c^2*d^2*e^9 + 8*a*b*c^5*d^7*e^4 + 8*a*b^5*c*d^3*e^8 + 8*a^3*b^3*c*d*e^10 - 22*a^4*b*c^2*d*e^10 - 20*a*b^2*c^4*d^6*e^5 + 32*a*b^3*c^3*d^5*e^6 - 26*a*b^4*c^2*d^4*e^7 - 36*a^2*b*c^4*d^5*e^6 - 12*a^2*b^4*c*d^2*e^9 - 56*a^3*b*c^3*d^3*e^8))/(a^4*e^8 + c^4*d^8 + b^4*d^4*e^4 - 4*a*b^3*d^3*e^5 + 4*a*c^3*d^6*e^2 + 4*a^3*c*d^2*e^6 - 4*b^3*c*d^5*e^3 + 6*a^2*b^2*d^2*e^6 + 6*a^2*c^2*d^4*e^4 + 6*b^2*c^2*d^6*e^2 - 4*a^3*b*d*e^7 - 4*b*c^3*d^7*e - 12*a*b*c^2*d^5*e^3 + 12*a*b^2*c*d^4*e^4 - 12*a^2*b*c*d^3*e^5)) + (a^4*c^2*e^8*g + c^6*d^7*e*f + a^4*b*c*e^8*h - a*c^5*d^7*e*h - b*c^5*d^7*e*g + a^2*b^3*c*e^8*f - 2*a^3*b*c^2*e^8*f - a^3*b^2*c*e^8*g + 3*a*c^5*d^5*e^3*f + a^3*c^3*d*e^7*f + a*c^5*d^6*e^2*g - b*c^5*d^6*e^2*f + b^5*c*d^2*e^6*f - a^4*c^2*d*e^7*h + b^2*c^4*d^7*e*h + 3*a^2*c^4*d^3*e^5*f + 3*a^2*c^4*d^4*e^4*g + 3*a^3*c^3*d^2*e^6*g - 3*b^2*c^4*d^5*e^3*f + 6*b^3*c^3*d^4*e^4*f - 4*b^4*c^2*d^3*e^5*f - 3*a^2*c^4*d^5*e^3*h - 3*a^3*c^3*d^3*e^5*h + 2*b^2*c^4*d^6*e^2*g - b^3*c^3*d^5*e^3*g - 2*b^3*c^3*d^6*e^2*h + b^4*c^2*d^5*e^3*h - a*b^2*c^3*d^3*e^5*f + 4*a*b^3*c^2*d^2*e^6*f - 5*a^2*b*c^3*d^2*e^6*f + 2*a^2*b^2*c^2*d*e^7*f - 2*a*b^2*c^3*d^4*e^4*g + 4*a*b^3*c^2*d^3*e^5*g - a^2*b*c^3*d^3*e^5*g + 5*a*b^2*c^3*d^5*e^3*h - 4*a*b^3*c^2*d^4*e^4*h + a^2*b*c^3*d^4*e^4*h + a^2*b^3*c*d^2*e^6*h + 2*a^3*b*c^2*d^2*e^6*h - 2*a*b^4*c*d*e^7*f - 5*a^2*b^2*c^2*d^2*e^6*g + 2*a^2*b^2*c^2*d^3*e^5*h - 4*a*b*c^4*d^4*e^4*f - 2*a*b*c^4*d^5*e^3*g - a*b^4*c*d^2*e^6*g + 2*a^2*b^3*c*d*e^7*g - 2*a^3*b^2*c*d*e^7*h)/(a^4*e^8 + c^4*d^8 + b^4*d^4*e^4 - 4*a*b^3*d^3*e^5 + 4*a*c^3*d^6*e^2 + 4*a^3*c*d^2*e^6 - 4*b^3*c*d^5*e^3 + 6*a^2*b^2*d^2*e^6 + 6*a^2*c^2*d^4*e^4 + 6*b^2*c^2*d^6*e^2 - 4*a^3*b*d*e^7 - 4*b*c^3*d^7*e - 12*a*b*c^2*d^5*e^3 + 12*a*b^2*c*d^4*e^4 - 12*a^2*b*c*d^3*e^5) + (x*(3*a^4*c^2*e^8*h - 3*a^3*c^3*e^8*f + 5*c^6*d^6*e^2*f - c^6*d^7*e*g + b*c^5*d^7*e*h - 2*a^3*b*c^2*e^8*g + 7*a*c^5*d^4*e^4*f + 5*a*c^5*d^5*e^3*g - 15*b*c^5*d^5*e^3*f + 7*a^3*c^3*d*e^7*g - 5*a*c^5*d^6*e^2*h + b*c^5*d^6*e^2*g + 2*a^2*b^2*c^2*e^8*f - a^2*c^4*d^2*e^6*f + 13*a^2*c^4*d^3*e^5*g + 17*b^2*c^4*d^4*e^4*f - 9*b^3*c^3*d^3*e^5*f + 2*b^4*c^2*d^2*e^6*f - 7*a^2*c^4*d^4*e^4*h + a^3*c^3*d^2*e^6*h + b^2*c^4*d^5*e^3*g - b^3*c^3*d^4*e^4*g - b^2*c^4*d^6*e^2*h - b^3*c^3*d^5*e^3*h + b^4*c^2*d^4*e^4*h + 11*a*b^2*c^3*d^2*e^6*f + 13*a*b^2*c^3*d^3*e^5*g - 2*a*b^3*c^2*d^2*e^6*g - 19*a^2*b*c^3*d^2*e^6*g + 4*a^2*b^2*c^2*d*e^7*g - a*b^2*c^3*d^4*e^4*h - 4*a*b^3*c^2*d^3*e^5*h + a^2*b*c^3*d^3*e^5*h + 8*a^2*b^2*c^2*d^2*e^6*h - 14*a*b*c^4*d^3*e^5*f - 4*a*b^3*c^2*d*e^7*f + a^2*b*c^3*d*e^7*f - 16*a*b*c^4*d^4*e^4*g + 10*a*b*c^4*d^5*e^3*h - 8*a^3*b*c^2*d*e^7*h))/(a^4*e^8 + c^4*d^8 + b^4*d^4*e^4 - 4*a*b^3*d^3*e^5 + 4*a*c^3*d^6*e^2 + 4*a^3*c*d^2*e^6 - 4*b^3*c*d^5*e^3 + 6*a^2*b^2*d^2*e^6 + 6*a^2*c^2*d^4*e^4 + 6*b^2*c^2*d^6*e^2 - 4*a^3*b*d*e^7 - 4*b*c^3*d^7*e - 12*a*b*c^2*d^5*e^3 + 12*a*b^2*c*d^4*e^4 - 12*a^2*b*c*d^3*e^5)) - (2*c^5*d^3*e^2*f^2 - b^3*c^2*e^5*f^2 - c^5*d^4*e*f*g + 2*a^2*c^3*d^3*e^2*h^2 + a*b*c^3*e^5*f^2 - 2*a*c^4*d*e^4*f^2 - a^2*c^3*e^5*f*g + a^3*c^2*e^5*g*h - a^2*b*c^2*e^5*g^2 - 2*a*c^4*d^3*e^2*g^2 - 5*b*c^4*d^2*e^3*f^2 + 2*a^2*c^3*d*e^4*g^2 + 4*b^2*c^3*d*e^4*f^2 - 2*a^3*c^2*d*e^4*h^2 + a*b*c^3*d^2*e^3*g^2 - b^2*c^3*d^2*e^3*f*g - 6*a^2*c^3*d^2*e^3*g*h - 2*b^2*c^3*d^3*e^2*f*h + b^3*c^2*d^2*e^3*f*h + a*c^4*d^4*e*g*h + b*c^4*d^4*e*f*h + a^2*b*c^2*d^2*e^3*h^2 - a*b*c^3*d^4*e*h^2 + 2*a*b^2*c^2*e^5*f*g - a^2*b*c^2*e^5*f*h + 6*a*c^4*d^2*e^3*f*g - 4*a*c^4*d^3*e^2*f*h + 2*b*c^4*d^3*e^2*f*g + 4*a^2*c^3*d*e^4*f*h + 4*a*b*c^3*d^2*e^3*f*h - 2*a*b^2*c^2*d*e^4*f*h + 2*a*b*c^3*d^3*e^2*g*h + 2*a^2*b*c^2*d*e^4*g*h - a*b^2*c^2*d^2*e^3*g*h - 6*a*b*c^3*d*e^4*f*g)/(a^4*e^8 + c^4*d^8 + b^4*d^4*e^4 - 4*a*b^3*d^3*e^5 + 4*a*c^3*d^6*e^2 + 4*a^3*c*d^2*e^6 - 4*b^3*c*d^5*e^3 + 6*a^2*b^2*d^2*e^6 + 6*a^2*c^2*d^4*e^4 + 6*b^2*c^2*d^6*e^2 - 4*a^3*b*d*e^7 - 4*b*c^3*d^7*e - 12*a*b*c^2*d^5*e^3 + 12*a*b^2*c*d^4*e^4 - 12*a^2*b*c*d^3*e^5) + (x*(c^5*d^4*e*g^2 + a^2*c^3*e^5*g^2 + b^2*c^3*e^5*f^2 + 4*c^5*d^2*e^3*f^2 + 4*a^2*c^3*d^2*e^3*h^2 - 4*b*c^4*d*e^4*f^2 - 4*c^5*d^3*e^2*f*g - 2*a*c^4*d^2*e^3*g^2 + b^2*c^3*d^4*e*h^2 - 4*a*b*c^3*d^3*e^2*h^2 - 2*b^2*c^3*d^2*e^3*f*h - 2*a*b*c^3*e^5*f*g + 4*a*c^4*d*e^4*f*g - 2*b*c^4*d^4*e*g*h - 8*a*c^4*d^2*e^3*f*h + 2*b*c^4*d^2*e^3*f*g + 4*a*c^4*d^3*e^2*g*h + 4*b*c^4*d^3*e^2*f*h - 4*a^2*c^3*d*e^4*g*h + 2*a*b*c^3*d^2*e^3*g*h + 4*a*b*c^3*d*e^4*f*h))/(a^4*e^8 + c^4*d^8 + b^4*d^4*e^4 - 4*a*b^3*d^3*e^5 + 4*a*c^3*d^6*e^2 + 4*a^3*c*d^2*e^6 - 4*b^3*c*d^5*e^3 + 6*a^2*b^2*d^2*e^6 + 6*a^2*c^2*d^4*e^4 + 6*b^2*c^2*d^6*e^2 - 4*a^3*b*d*e^7 - 4*b*c^3*d^7*e - 12*a*b*c^2*d^5*e^3 + 12*a*b^2*c*d^4*e^4 - 12*a^2*b*c*d^3*e^5))*root(24*a^6*b*c*d*e^11*z^3 + 24*a*b*c^6*d^11*e*z^3 + 240*a^4*b*c^3*d^5*e^7*z^3 + 240*a^3*b*c^4*d^7*e^5*z^3 + 120*a^5*b*c^2*d^3*e^9*z^3 + 120*a^2*b*c^5*d^9*e^3*z^3 - 54*a^5*b^2*c*d^2*e^10*z^3 - 54*a*b^2*c^5*d^10*e^2*z^3 + 50*a^4*b^3*c*d^3*e^9*z^3 + 50*a*b^3*c^4*d^9*e^3*z^3 - 36*a^2*b^5*c*d^5*e^7*z^3 - 36*a*b^5*c^2*d^7*e^5*z^3 + 26*a*b^6*c*d^6*e^6*z^3 - 340*a^3*b^2*c^3*d^6*e^6*z^3 - 225*a^4*b^2*c^2*d^4*e^8*z^3 - 225*a^2*b^2*c^4*d^8*e^4*z^3 + 180*a^3*b^3*c^2*d^5*e^7*z^3 + 180*a^2*b^3*c^3*d^7*e^5*z^3 - 30*a^2*b^4*c^2*d^6*e^6*z^3 - 6*b^7*c*d^7*e^5*z^3 - 6*b^3*c^5*d^11*e*z^3 - 6*a^5*b^3*d*e^11*z^3 - 6*a*b^7*d^5*e^7*z^3 - 20*b^5*c^3*d^9*e^3*z^3 + 15*b^6*c^2*d^8*e^4*z^3 + 15*b^4*c^4*d^10*e^2*z^3 - 80*a^4*c^4*d^6*e^6*z^3 - 60*a^5*c^3*d^4*e^8*z^3 - 60*a^3*c^5*d^8*e^4*z^3 - 24*a^6*c^2*d^2*e^10*z^3 - 24*a^2*c^6*d^10*e^2*z^3 - 20*a^3*b^5*d^3*e^9*z^3 + 15*a^4*b^4*d^2*e^10*z^3 + 15*a^2*b^6*d^4*e^8*z^3 - 4*a^7*c*e^12*z^3 - 4*a*c^7*d^12*z^3 + b^8*d^6*e^6*z^3 + b^2*c^6*d^12*z^3 + a^6*b^2*e^12*z^3 - 9*a^3*b^2*c*d*e^5*g*h*z - 9*a*b^2*c^3*d^5*e*g*h*z - 30*a^3*b*c^2*d*e^5*f*h*z + 9*a^2*b^3*c*d*e^5*f*h*z + 3*a*b^4*c*d^2*e^4*f*h*z + 27*a*b*c^4*d^4*e^2*f*g*z + 6*a^2*b^2*c^2*d^3*e^3*g*h*z - 33*a^2*b^2*c^2*d^2*e^4*f*h*z + 18*a*b*c^4*d^5*e*f*h*z - 12*a*b^4*c*d*e^5*f*g*z + 27*a^3*b*c^2*d^2*e^4*g*h*z + 27*a^2*b*c^3*d^4*e^2*g*h*z - 3*a^2*b^3*c*d^2*e^4*g*h*z - 3*a*b^3*c^2*d^4*e^2*g*h*z + 52*a^2*b*c^3*d^3*e^3*f*h*z - 4*a*b^3*c^2*d^3*e^3*f*h*z - 3*a*b^2*c^3*d^4*e^2*f*h*z - 93*a^2*b*c^3*d^2*e^4*f*g*z + 51*a^2*b^2*c^2*d*e^5*f*g*z - 34*a*b^2*c^3*d^3*e^3*f*g*z + 27*a*b^3*c^2*d^2*e^4*f*g*z - 24*a*c^5*d^5*e*f*g*z - 7*a^4*b*c*e^6*g*h*z - 7*a*b*c^4*d^6*g*h*z + a*b^4*c*d^3*e^3*g*h*z - 80*a^3*c^3*d^3*e^3*g*h*z + 3*b^4*c^2*d^4*e^2*f*h*z - 66*a^2*c^4*d^4*e^2*f*h*z + 54*a^3*c^3*d^2*e^4*f*h*z - 3*b^3*c^3*d^4*e^2*f*g*z + 80*a^2*c^4*d^3*e^3*f*g*z - 21*a^2*b*c^3*d^5*e*h^2*z + 6*a*b^3*c^2*d^5*e*h^2*z - 21*a^3*b*c^2*d*e^5*g^2*z + 6*a^2*b^3*c*d*e^5*g^2*z - 66*a*b*c^4*d^3*e^3*f^2*z - 30*a*b^3*c^2*d*e^5*f^2*z + 27*a^2*b*c^3*d*e^5*f^2*z - 12*a^2*b^2*c^2*d^4*e^2*h^2*z - 12*a^2*b^2*c^2*d^2*e^4*g^2*z + 24*a^4*c^2*d*e^5*g*h*z + 24*a^2*c^4*d^5*e*g*h*z - 3*b^3*c^3*d^5*e*f*h*z - b^5*c*d^3*e^3*f*h*z + 3*b^2*c^4*d^5*e*f*g*z - 24*a^3*c^3*d*e^5*f*g*z + 9*a^3*b^2*c*e^6*f*h*z - 10*a^2*b^3*c*e^6*f*g*z + 9*a^3*b*c^2*e^6*f*g*z + 3*a^4*b*c*d*e^5*h^2*z + 3*a*b*c^4*d^5*e*g^2*z + 14*a^3*b*c^2*d^3*e^3*h^2*z + 3*a^3*b^2*c*d^2*e^4*h^2*z - a^2*b^3*c*d^3*e^3*h^2*z + 14*a^2*b*c^3*d^3*e^3*g^2*z + 3*a*b^2*c^3*d^4*e^2*g^2*z - a*b^3*c^2*d^3*e^3*g^2*z + 63*a*b^2*c^3*d^2*e^4*f^2*z + 2*b^3*c^3*d^6*g*h*z - 6*a^4*c^2*e^6*f*h*z + 2*a^3*b^3*e^6*g*h*z - b^2*c^4*d^6*f*h*z - 2*a^2*b^4*e^6*f*h*z + 6*b^5*c*d*e^5*f^2*z + 3*b*c^5*d^5*e*f^2*z + 6*a*b^4*c*e^6*f^2*z + b^4*c^2*d^3*e^3*f*g*z + 33*a^3*c^3*d^4*e^2*h^2*z - 27*a^4*c^2*d^2*e^4*h^2*z + 33*a^3*c^3*d^2*e^4*g^2*z - 27*a^2*c^4*d^4*e^2*g^2*z + 19*b^3*c^3*d^3*e^3*f^2*z - 15*b^4*c^2*d^2*e^4*f^2*z - 12*b^2*c^4*d^4*e^2*f^2*z - 27*a^2*c^4*d^2*e^4*f^2*z - 9*a^2*b^2*c^2*e^6*f^2*z + 2*a*c^5*d^6*f*h*z + 2*a*b^5*e^6*f*g*z + 33*a*c^5*d^4*e^2*f^2*z + 4*a^3*b^2*c*e^6*g^2*z + 4*a*b^2*c^3*d^6*h^2*z - b^4*c^2*d^6*h^2*z - b^2*c^4*d^6*g^2*z - a^4*c^2*e^6*g^2*z - a^4*b^2*e^6*h^2*z - a^2*c^4*d^6*h^2*z + 3*a^3*c^3*e^6*f^2*z - a^2*b^4*e^6*g^2*z + b*c^5*d^6*f*g*z + 3*a^5*c*e^6*h^2*z + 3*a*c^5*d^6*g^2*z - c^6*d^6*f^2*z - b^6*e^6*f^2*z + 6*a*b^2*c^2*d*e^2*f*g*h - 2*a*b^3*c*e^3*f*g*h + 3*a^2*b*c^2*d^2*e*g*h^2 - 3*a^2*b*c^2*d*e^2*g^2*h - 3*a^2*b*c^2*d*e^2*f*h^2 - 3*a*b^2*c^2*d^2*e*f*h^2 - 6*a^2*c^3*d*e^2*f*g*h + 2*a^2*b*c^2*e^3*f*g*h + 6*a*b*c^3*d*e^2*f^2*h - 6*a*b*c^3*d*e^2*f*g^2 - 2*b^2*c^3*d^3*f*g*h - 9*a*c^4*d^2*e*f^2*h - 3*b*c^4*d^2*e*f^2*g + 3*a*c^4*d^2*e*f*g^2 + 3*a*c^4*d*e^2*f^2*g - 2*a^3*b*c*e^3*g*h^2 + 2*a*b*c^3*d^3*g^2*h - 2*a*b*c^3*d^3*f*h^2 + 2*a*c^4*d^3*f*g*h - 3*b^3*c^2*d*e^2*f^2*h + 3*b^2*c^3*d^2*e*f^2*h + 3*a^3*c^2*d*e^2*g*h^2 - 3*a^2*c^3*d^2*e*g^2*h + 9*a^2*c^3*d^2*e*f*h^2 + 3*b^2*c^3*d*e^2*f^2*g - 3*a*b^2*c^2*e^3*f^2*h + 2*a^2*b^2*c*e^3*f*h^2 - a*b^2*c^2*d^3*g*h^2 + 2*a*b^2*c^2*e^3*f*g^2 - 3*a^3*c^2*e^3*f*h^2 + 3*a^2*c^3*e^3*f^2*h - b^3*c^2*e^3*f^2*g - a^2*c^3*d^3*g*h^2 - a^2*c^3*e^3*f*g^2 - 3*a^3*c^2*d^2*e*h^3 + 3*a^2*c^3*d*e^2*g^3 - a^2*b*c^2*e^3*g^3 - 3*b*c^4*d*e^2*f^3 + a^2*b^2*c*e^3*g^2*h + a^3*c^2*e^3*g^2*h + b^3*c^2*d^3*f*h^2 + a^2*b*c^2*d^3*h^3 + b^4*c*e^3*f^2*h + b*c^4*d^3*f^2*h + b*c^4*d^3*f*g^2 - c^5*d^3*f^2*g + 3*c^5*d^2*e*f^3 - a*c^4*e^3*f^3 - a*c^4*d^3*g^3 + b^2*c^3*e^3*f^3 + a^4*c*e^3*h^3, z, k), k, 1, 3) - ((a*e^4*f + c*d^4*h + a*d*e^3*g - 3*b*d*e^3*f + b*d^3*e*h - 3*c*d^3*e*g - 3*a*d^2*e^2*h + b*d^2*e^2*g + 5*c*d^2*e^2*f)/(2*e*(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2)) + (x*(a*e^3*g - b*e^3*f - 2*a*d*e^2*h + 2*c*d*e^2*f + b*d^2*e*h - c*d^2*e*g))/(a^2*e^4 + c^2*d^4 + b^2*d^2*e^2 - 2*a*b*d*e^3 - 2*b*c*d^3*e + 2*a*c*d^2*e^2))/(d^2 + e^2*x^2 + 2*d*e*x)","B"
155,1,742,288,5.779106,"\text{Not used}","int(((d + e*x)^2*(f + g*x + h*x^2))/(a + b*x + c*x^2)^2,x)","\frac{\frac{-3\,h\,a^2\,b\,c\,e^2+4\,h\,a^2\,c^2\,d\,e+2\,g\,a^2\,c^2\,e^2+h\,a\,b^3\,e^2-2\,h\,a\,b^2\,c\,d\,e-g\,a\,b^2\,c\,e^2+h\,a\,b\,c^2\,d^2+2\,g\,a\,b\,c^2\,d\,e+f\,a\,b\,c^2\,e^2-2\,g\,a\,c^3\,d^2-4\,f\,a\,c^3\,d\,e+f\,b\,c^3\,d^2}{c\,\left(4\,a\,c-b^2\right)}+\frac{x\,\left(2\,h\,a^2\,c^2\,e^2-4\,h\,a\,b^2\,c\,e^2+6\,h\,a\,b\,c^2\,d\,e+3\,g\,a\,b\,c^2\,e^2-2\,h\,a\,c^3\,d^2-4\,g\,a\,c^3\,d\,e-2\,f\,a\,c^3\,e^2+h\,b^4\,e^2-2\,h\,b^3\,c\,d\,e-g\,b^3\,c\,e^2+h\,b^2\,c^2\,d^2+2\,g\,b^2\,c^2\,d\,e+f\,b^2\,c^2\,e^2-g\,b\,c^3\,d^2-2\,f\,b\,c^3\,d\,e+2\,f\,c^4\,d^2\right)}{c\,\left(4\,a\,c-b^2\right)}}{c^3\,x^2+b\,c^2\,x+a\,c^2}+\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-128\,h\,a^3\,b\,c^3\,e^2+64\,g\,a^3\,c^4\,e^2+128\,d\,h\,a^3\,c^4\,e+96\,h\,a^2\,b^3\,c^2\,e^2-48\,g\,a^2\,b^2\,c^3\,e^2-96\,d\,h\,a^2\,b^2\,c^3\,e-24\,h\,a\,b^5\,c\,e^2+12\,g\,a\,b^4\,c^2\,e^2+24\,d\,h\,a\,b^4\,c^2\,e+2\,h\,b^7\,e^2-g\,b^6\,c\,e^2-2\,d\,h\,b^6\,c\,e\right)}{2\,\left(64\,a^3\,c^6-48\,a^2\,b^2\,c^5+12\,a\,b^4\,c^4-b^6\,c^3\right)}+\frac{\mathrm{atan}\left(\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}-\frac{b^3\,c^2-4\,a\,b\,c^3}{c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(-12\,h\,a^2\,c^2\,e^2+12\,h\,a\,b^2\,c\,e^2-12\,h\,a\,b\,c^2\,d\,e-6\,g\,a\,b\,c^2\,e^2+4\,h\,a\,c^3\,d^2+8\,g\,a\,c^3\,d\,e+4\,f\,a\,c^3\,e^2-2\,h\,b^4\,e^2+2\,h\,b^3\,c\,d\,e+g\,b^3\,c\,e^2-2\,g\,b\,c^3\,d^2-4\,f\,b\,c^3\,d\,e+4\,f\,c^4\,d^2\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^{3/2}}+\frac{e^2\,h\,x}{c^2}","Not used",1,"((2*a^2*c^2*e^2*g - 2*a*c^3*d^2*g + b*c^3*d^2*f + a*b^3*e^2*h + a*b*c^2*e^2*f + a*b*c^2*d^2*h - a*b^2*c*e^2*g - 3*a^2*b*c*e^2*h + 4*a^2*c^2*d*e*h - 4*a*c^3*d*e*f + 2*a*b*c^2*d*e*g - 2*a*b^2*c*d*e*h)/(c*(4*a*c - b^2)) + (x*(2*c^4*d^2*f + b^4*e^2*h + b^2*c^2*e^2*f + 2*a^2*c^2*e^2*h + b^2*c^2*d^2*h - 2*a*c^3*e^2*f - 2*a*c^3*d^2*h - b*c^3*d^2*g - b^3*c*e^2*g + 3*a*b*c^2*e^2*g - 4*a*b^2*c*e^2*h + 2*b^2*c^2*d*e*g - 4*a*c^3*d*e*g - 2*b*c^3*d*e*f - 2*b^3*c*d*e*h + 6*a*b*c^2*d*e*h))/(c*(4*a*c - b^2)))/(a*c^2 + c^3*x^2 + b*c^2*x) + (log(a + b*x + c*x^2)*(2*b^7*e^2*h + 64*a^3*c^4*e^2*g - b^6*c*e^2*g - 24*a*b^5*c*e^2*h + 128*a^3*c^4*d*e*h + 12*a*b^4*c^2*e^2*g - 128*a^3*b*c^3*e^2*h - 2*b^6*c*d*e*h - 48*a^2*b^2*c^3*e^2*g + 96*a^2*b^3*c^2*e^2*h + 24*a*b^4*c^2*d*e*h - 96*a^2*b^2*c^3*d*e*h))/(2*(64*a^3*c^6 - b^6*c^3 + 12*a*b^4*c^4 - 48*a^2*b^2*c^5)) + (atan((2*c*x)/(4*a*c - b^2)^(1/2) - (b^3*c^2 - 4*a*b*c^3)/(c^2*(4*a*c - b^2)^(3/2)))*(4*c^4*d^2*f - 2*b^4*e^2*h - 12*a^2*c^2*e^2*h + 4*a*c^3*e^2*f + 4*a*c^3*d^2*h - 2*b*c^3*d^2*g + b^3*c*e^2*g - 6*a*b*c^2*e^2*g + 12*a*b^2*c*e^2*h + 8*a*c^3*d*e*g - 4*b*c^3*d*e*f + 2*b^3*c*d*e*h - 12*a*b*c^2*d*e*h))/(c^3*(4*a*c - b^2)^(3/2)) + (e^2*h*x)/c^2","B"
156,1,376,178,5.038679,"\text{Not used}","int(((d + e*x)*(f + g*x + h*x^2))/(a + b*x + c*x^2)^2,x)","\frac{\frac{b\,c^2\,d\,f-2\,a\,c^2\,e\,f-2\,a\,c^2\,d\,g-a\,b^2\,e\,h+2\,a^2\,c\,e\,h+a\,b\,c\,d\,h+a\,b\,c\,e\,g}{c^2\,\left(4\,a\,c-b^2\right)}-\frac{x\,\left(b^3\,e\,h-2\,c^3\,d\,f+2\,a\,c^2\,d\,h+2\,a\,c^2\,e\,g+b\,c^2\,d\,g+b\,c^2\,e\,f-b^2\,c\,d\,h-b^2\,c\,e\,g-3\,a\,b\,c\,e\,h\right)}{c^2\,\left(4\,a\,c-b^2\right)}}{c\,x^2+b\,x+a}-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-64\,e\,h\,a^3\,c^3+48\,e\,h\,a^2\,b^2\,c^2-12\,e\,h\,a\,b^4\,c+e\,h\,b^6\right)}{2\,\left(64\,a^3\,c^5-48\,a^2\,b^2\,c^4+12\,a\,b^4\,c^3-b^6\,c^2\right)}+\frac{\mathrm{atan}\left(\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}-\frac{b^3\,c-4\,a\,b\,c^2}{c\,{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(4\,c^3\,d\,f+b^3\,e\,h+4\,a\,c^2\,d\,h+4\,a\,c^2\,e\,g-2\,b\,c^2\,d\,g-2\,b\,c^2\,e\,f-6\,a\,b\,c\,e\,h\right)}{c^2\,{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((b*c^2*d*f - 2*a*c^2*e*f - 2*a*c^2*d*g - a*b^2*e*h + 2*a^2*c*e*h + a*b*c*d*h + a*b*c*e*g)/(c^2*(4*a*c - b^2)) - (x*(b^3*e*h - 2*c^3*d*f + 2*a*c^2*d*h + 2*a*c^2*e*g + b*c^2*d*g + b*c^2*e*f - b^2*c*d*h - b^2*c*e*g - 3*a*b*c*e*h))/(c^2*(4*a*c - b^2)))/(a + b*x + c*x^2) - (log(a + b*x + c*x^2)*(b^6*e*h - 64*a^3*c^3*e*h + 48*a^2*b^2*c^2*e*h - 12*a*b^4*c*e*h))/(2*(64*a^3*c^5 - b^6*c^2 + 12*a*b^4*c^3 - 48*a^2*b^2*c^4)) + (atan((2*c*x)/(4*a*c - b^2)^(1/2) - (b^3*c - 4*a*b*c^2)/(c*(4*a*c - b^2)^(3/2)))*(4*c^3*d*f + b^3*e*h + 4*a*c^2*d*h + 4*a*c^2*e*g - 2*b*c^2*d*g - 2*b*c^2*e*f - 6*a*b*c*e*h))/(c^2*(4*a*c - b^2)^(3/2))","B"
157,1,203,118,3.896316,"\text{Not used}","int((f + g*x + h*x^2)/(a + b*x + c*x^2)^2,x)","\frac{\frac{a\,b\,h-2\,a\,c\,g+b\,c\,f}{c\,\left(4\,a\,c-b^2\right)}+\frac{x\,\left(h\,b^2-g\,b\,c+2\,f\,c^2-2\,a\,h\,c\right)}{c\,\left(4\,a\,c-b^2\right)}}{c\,x^2+b\,x+a}-\frac{2\,\mathrm{atan}\left(\frac{\left(\frac{\left(b^3-4\,a\,b\,c\right)\,\left(2\,a\,h-b\,g+2\,c\,f\right)}{{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{2\,c\,x\,\left(2\,a\,h-b\,g+2\,c\,f\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}\right)\,\left(4\,a\,c-b^2\right)}{2\,a\,h-b\,g+2\,c\,f}\right)\,\left(2\,a\,h-b\,g+2\,c\,f\right)}{{\left(4\,a\,c-b^2\right)}^{3/2}}","Not used",1,"((a*b*h - 2*a*c*g + b*c*f)/(c*(4*a*c - b^2)) + (x*(2*c^2*f + b^2*h - 2*a*c*h - b*c*g))/(c*(4*a*c - b^2)))/(a + b*x + c*x^2) - (2*atan(((((b^3 - 4*a*b*c)*(2*a*h - b*g + 2*c*f))/(4*a*c - b^2)^(5/2) - (2*c*x*(2*a*h - b*g + 2*c*f))/(4*a*c - b^2)^(3/2))*(4*a*c - b^2))/(2*a*h - b*g + 2*c*f))*(2*a*h - b*g + 2*c*f))/(4*a*c - b^2)^(3/2)","B"
158,1,13698,407,6.700102,"\text{Not used}","int((f + g*x + h*x^2)/((d + e*x)*(a + b*x + c*x^2)^2),x)","\left(\sum 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64*a^7*c^3*e^8*z^3 - 64*a^3*c^7*d^8*z^3 + b^10*d^4*e^4*z^3 + b^6*c^4*d^8*z^3 + a^4*b^6*e^8*z^3 - 28*a*b^4*c*d^3*e^3*g*h*z - 10*a^3*b^2*c*d*e^5*g*h*z - 10*a*b^2*c^3*d^5*e*g*h*z + 16*a*b^4*c*d^2*e^4*f*h*z + 14*a^2*b^3*c*d*e^5*f*h*z + 4*a*b*c^4*d^4*e^2*f*g*z + 84*a^2*b^2*c^2*d^3*e^3*g*h*z - 108*a^2*b^2*c^2*d^2*e^4*f*h*z + 16*a*b*c^4*d^5*e*f*h*z - 20*a*b^4*c*d*e^5*f*g*z + 8*a^2*b^3*c*d^2*e^4*g*h*z + 8*a*b^3*c^2*d^4*e^2*g*h*z - 4*a^3*b*c^2*d^2*e^4*g*h*z - 4*a^2*b*c^3*d^4*e^2*g*h*z + 16*a^2*b*c^3*d^3*e^3*f*h*z + 16*a*b^3*c^2*d^3*e^3*f*h*z - 14*a*b^2*c^3*d^4*e^2*f*h*z + 66*a^2*b^2*c^2*d*e^5*f*g*z - 36*a*b^2*c^3*d^3*e^3*f*g*z + 20*a*b^3*c^2*d^2*e^4*f*g*z + 12*a^2*b*c^3*d^2*e^4*f*g*z + 8*a*c^5*d^5*e*f*g*z + 4*a^4*b*c*e^6*g*h*z - 2*a*b^5*d*e^5*f*h*z + 4*a*b*c^4*d^6*g*h*z - 112*a^3*c^3*d^3*e^3*g*h*z - 3*b^4*c^2*d^4*e^2*f*h*z + 120*a^3*c^3*d^2*e^4*f*h*z - 16*a^2*c^4*d^4*e^2*f*h*z + 14*b^3*c^3*d^4*e^2*f*g*z - 2*b^4*c^2*d^3*e^3*f*g*z + 16*a^2*c^4*d^3*e^3*f*g*z + 8*a*b^4*c*d^4*e^2*h^2*z + 4*a^2*b*c^3*d^5*e*h^2*z + 2*a*b^3*c^2*d^5*e*h^2*z + 8*a*b^4*c*d^2*e^4*g^2*z + 4*a^3*b*c^2*d*e^5*g^2*z + 2*a^2*b^3*c*d*e^5*g^2*z + 48*a*b*c^4*d^3*e^3*f^2*z + 36*a^2*b*c^3*d*e^5*f^2*z - 6*a*b^3*c^2*d*e^5*f^2*z - 45*a^2*b^2*c^2*d^4*e^2*h^2*z - 45*a^2*b^2*c^2*d^2*e^4*g^2*z + 2*b^5*c*d^4*e^2*g*h*z - b^4*c^2*d^5*e*g*h*z + 8*a^4*c^2*d*e^5*g*h*z + 8*a^2*c^4*d^5*e*g*h*z + 2*b^3*c^3*d^5*e*f*h*z - 14*b^2*c^4*d^5*e*f*g*z - 2*b^5*c*d^2*e^4*f*g*z + 2*a*b^5*d^2*e^4*g*h*z - a^2*b^4*d*e^5*g*h*z - 120*a^3*c^3*d*e^5*f*g*z - 6*a^3*b^2*c*e^6*f*h*z + 12*a^3*b*c^2*e^6*f*g*z - 2*a^2*b^3*c*e^6*f*g*z - 4*a^4*b*c*d*e^5*h^2*z - 4*a*b*c^4*d^5*e*g^2*z + 6*a^3*b^2*c*d^2*e^4*h^2*z + 2*a^2*b^3*c*d^3*e^3*h^2*z + 6*a*b^2*c^3*d^4*e^2*g^2*z + 2*a*b^3*c^2*d^3*e^3*g^2*z - 18*a*b^2*c^3*d^2*e^4*f^2*z - b^6*d^2*e^4*f*h*z + 12*b*c^5*d^5*e*f^2*z + 12*a*b^4*c*e^6*f^2*z + 56*a^3*c^3*d^4*e^2*h^2*z - 5*b^4*c^2*d^4*e^2*g^2*z - 4*a^4*c^2*d^2*e^4*h^2*z + 56*a^3*c^3*d^2*e^4*g^2*z - 9*b^2*c^4*d^4*e^2*f^2*z - 5*a^2*b^4*d^2*e^4*h^2*z - 4*a^2*c^4*d^4*e^2*g^2*z + 3*b^4*c^2*d^2*e^4*f^2*z - 2*b^3*c^3*d^3*e^3*f^2*z - 36*a^2*c^4*d^2*e^4*f^2*z - 45*a^2*b^2*c^2*e^6*f^2*z + 2*b^6*d*e^5*f*g*z - 8*a*c^5*d^6*f*h*z + 4*b*c^5*d^6*f*g*z + 4*b^3*c^3*d^5*e*g^2*z + 2*b^5*c*d^3*e^3*g^2*z + 4*a^3*b^3*d*e^5*h^2*z + 2*a*b^5*d^3*e^3*h^2*z - 24*a*c^5*d^4*e^2*f^2*z + b^6*d^3*e^3*g*h*z + a^2*b^4*e^6*f*h*z - b^6*d^4*e^2*h^2*z - b^6*d^2*e^4*g^2*z - 4*a^4*c^2*e^6*g^2*z - 4*a^2*c^4*d^6*h^2*z - b^2*c^4*d^6*g^2*z - a^4*b^2*e^6*h^2*z + 48*a^3*c^3*e^6*f^2*z - 4*c^6*d^6*f^2*z - b^6*e^6*f^2*z - 16*a*b*c^2*d^2*e^3*f*g*h - 4*a*b^2*c*d*e^4*f*g*h - 4*b*c^3*d^4*e*f*g*h - 4*a^2*b*c*e^5*f*g*h + 6*b^2*c^2*d^3*e^2*f*g*h - 8*a^2*b*c*d^2*e^3*g*h^2 + 8*a*b*c^2*d^3*e^2*g^2*h + 2*a*b^2*c*d^3*e^2*g*h^2 - 2*a*b^2*c*d^2*e^3*g^2*h + 6*a*b^2*c*d^2*e^3*f*h^2 + 4*b^3*c*d^2*e^3*f*g*h - 16*a*c^3*d^3*e^2*f*g*h - 8*a^2*c^2*d*e^4*f*g*h + 4*a^2*b*c*d*e^4*g^2*h - 4*a*b*c^2*d^4*e*g*h^2 + 4*a^2*b*c*d*e^4*f*h^2 + 16*a*b*c^2*d*e^4*f*g^2 - 2*b^3*c*d*e^4*f^2*h + 8*a*c^3*d^4*e*f*h^2 - 4*b^3*c*d*e^4*f*g^2 - 24*a*c^3*d*e^4*f^2*g - 2*a*b^3*d*e^4*f*h^2 + 6*a*b^2*c*e^5*f^2*h - 12*a*b*c^2*e^5*f^2*g - 12*a^2*c^2*d^3*e^2*g*h^2 + 12*a^2*c^2*d^2*e^3*g^2*h - 3*b^2*c^2*d^2*e^3*f^2*h - 5*b^2*c^2*d^2*e^3*f*g^2 + 4*a^2*c^2*d^2*e^3*f*h^2 + 2*b^4*d*e^4*f*g*h - 2*b^3*c*d^3*e^2*g^2*h - 4*b*c^3*d^3*e^2*f^2*h - 2*b^3*c*d^3*e^2*f*h^2 + 24*a*c^3*d^2*e^3*f^2*h + 9*b^2*c^2*d*e^4*f^2*g + 4*b*c^3*d^3*e^2*f*g^2 + 2*a*b^3*d^2*e^3*g*h^2 - a^2*b^2*d*e^4*g*h^2 + 8*a*c^3*d^2*e^3*f*g^2 + 4*a^2*b*c*d^3*e^2*h^3 - 4*a*b*c^2*d^2*e^3*g^3 - b^4*d^2*e^3*g^2*h - 4*c^4*d^3*e^2*f^2*g - b^4*d^2*e^3*f*h^2 + 4*a^2*c^2*e^5*f*g^2 + 4*a^2*c^2*d^4*e*h^3 + 2*b^3*c*d^2*e^3*g^3 - 4*a^2*c^2*d*e^4*g^3 - 2*a*b^3*d^3*e^2*h^3 + 4*c^4*d^4*e*f^2*h + 2*b^3*c*e^5*f^2*g - 4*b*c^3*d*e^4*f^3 + b^2*c^2*d^4*e*g^2*h - b^2*c^2*d^3*e^2*g^3 + b^4*d^3*e^2*g*h^2 + a^2*b^2*e^5*f*h^2 + 4*c^4*d^2*e^3*f^3 - 3*b^2*c^2*e^5*f^3 + a^2*b^2*d^2*e^3*h^3 - b^4*e^5*f^2*h + 16*a*c^3*e^5*f^3, z, k)*((a*b^5*c*e^6*f - 8*a^4*c^3*e^6*g + 8*a*c^6*d^5*e*f - b^6*c*d*e^5*f + 20*a^3*b*c^3*e^6*f - a^3*b^3*c*e^6*h + 8*a^3*c^4*d*e^5*f + 4*a^4*b*c^2*e^6*h - 2*b^2*c^5*d^5*e*f + 8*a^2*c^5*d^5*e*h + 8*a^4*c^3*d*e^5*h + b^3*c^4*d^5*e*g + b^6*c*d^2*e^4*g - b^6*c*d^3*e^3*h - 9*a^2*b^3*c^2*e^6*f + 2*a^3*b^2*c^2*e^6*g + 16*a^2*c^5*d^3*e^3*f - 8*a^2*c^5*d^4*e^2*g - 16*a^3*c^4*d^2*e^4*g + 3*b^3*c^4*d^4*e^2*f + 16*a^3*c^4*d^3*e^3*h - 2*b^4*c^3*d^4*e^2*g + b^5*c^2*d^4*e^2*h - 4*a*b^2*c^4*d^3*e^3*f - 2*a*b^3*c^3*d^2*e^4*f + 8*a^2*b*c^4*d^2*e^4*f - 26*a^2*b^2*c^3*d*e^5*f + 10*a*b^2*c^4*d^4*e^2*g + 2*a*b^3*c^3*d^3*e^3*g - 8*a*b^4*c^2*d^2*e^4*g - 8*a^2*b*c^4*d^3*e^3*g + 5*a^2*b^3*c^2*d*e^5*g - 5*a*b^3*c^3*d^4*e^2*h + 8*a*b^4*c^2*d^3*e^3*h + 4*a^2*b*c^4*d^4*e^2*h + 8*a^3*b*c^3*d^2*e^4*h - 10*a^3*b^2*c^2*d*e^5*h - 4*a*b*c^5*d^5*e*g - a*b^5*c*d*e^5*g + 20*a^2*b^2*c^3*d^2*e^4*g - 20*a^2*b^2*c^3*d^3*e^3*h - 2*a^2*b^3*c^2*d^2*e^4*h - 12*a*b*c^5*d^4*e^2*f + 10*a*b^4*c^2*d*e^5*f - 4*a^3*b*c^3*d*e^5*g - 2*a*b^2*c^4*d^5*e*h + 2*a^2*b^4*c*d*e^5*h)/(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3) + root(768*a^5*b*c^4*d^3*e^5*z^3 + 768*a^4*b*c^5*d^5*e^3*z^3 - 192*a^5*b^3*c^2*d*e^7*z^3 - 192*a^2*b^3*c^5*d^7*e*z^3 - 68*a^3*b^6*c*d^2*e^6*z^3 - 68*a*b^6*c^3*d^6*e^2*z^3 + 36*a^2*b^7*c*d^3*e^5*z^3 + 36*a*b^7*c^2*d^5*e^3*z^3 + 256*a^6*b*c^3*d*e^7*z^3 + 256*a^3*b*c^6*d^7*e*z^3 + 48*a^4*b^5*c*d*e^7*z^3 + 48*a*b^5*c^4*d^7*e*z^3 - 480*a^4*b^2*c^4*d^4*e^4*z^3 + 440*a^3*b^4*c^3*d^4*e^4*z^3 - 320*a^4*b^3*c^3*d^3*e^5*z^3 - 320*a^3*b^3*c^4*d^5*e^3*z^3 + 240*a^4*b^4*c^2*d^2*e^6*z^3 + 240*a^2*b^4*c^4*d^6*e^2*z^3 - 192*a^5*b^2*c^3*d^2*e^6*z^3 - 192*a^3*b^2*c^5*d^6*e^2*z^3 - 90*a^2*b^6*c^2*d^4*e^4*z^3 - 48*a^3*b^5*c^2*d^3*e^5*z^3 - 48*a^2*b^5*c^3*d^5*e^3*z^3 - 4*b^9*c*d^5*e^3*z^3 - 4*b^7*c^3*d^7*e*z^3 - 4*a^3*b^7*d*e^7*z^3 - 4*a*b^9*d^3*e^5*z^3 - 12*a^5*b^4*c*e^8*z^3 - 12*a*b^4*c^5*d^8*z^3 + 6*b^8*c^2*d^6*e^2*z^3 - 384*a^5*c^5*d^4*e^4*z^3 - 256*a^6*c^4*d^2*e^6*z^3 - 256*a^4*c^6*d^6*e^2*z^3 + 6*a^2*b^8*d^2*e^6*z^3 + 48*a^6*b^2*c^2*e^8*z^3 + 48*a^2*b^2*c^6*d^8*z^3 - 64*a^7*c^3*e^8*z^3 - 64*a^3*c^7*d^8*z^3 + b^10*d^4*e^4*z^3 + b^6*c^4*d^8*z^3 + a^4*b^6*e^8*z^3 - 28*a*b^4*c*d^3*e^3*g*h*z - 10*a^3*b^2*c*d*e^5*g*h*z - 10*a*b^2*c^3*d^5*e*g*h*z + 16*a*b^4*c*d^2*e^4*f*h*z + 14*a^2*b^3*c*d*e^5*f*h*z + 4*a*b*c^4*d^4*e^2*f*g*z + 84*a^2*b^2*c^2*d^3*e^3*g*h*z - 108*a^2*b^2*c^2*d^2*e^4*f*h*z + 16*a*b*c^4*d^5*e*f*h*z - 20*a*b^4*c*d*e^5*f*g*z + 8*a^2*b^3*c*d^2*e^4*g*h*z + 8*a*b^3*c^2*d^4*e^2*g*h*z - 4*a^3*b*c^2*d^2*e^4*g*h*z - 4*a^2*b*c^3*d^4*e^2*g*h*z + 16*a^2*b*c^3*d^3*e^3*f*h*z + 16*a*b^3*c^2*d^3*e^3*f*h*z - 14*a*b^2*c^3*d^4*e^2*f*h*z + 66*a^2*b^2*c^2*d*e^5*f*g*z - 36*a*b^2*c^3*d^3*e^3*f*g*z + 20*a*b^3*c^2*d^2*e^4*f*g*z + 12*a^2*b*c^3*d^2*e^4*f*g*z + 8*a*c^5*d^5*e*f*g*z + 4*a^4*b*c*e^6*g*h*z - 2*a*b^5*d*e^5*f*h*z + 4*a*b*c^4*d^6*g*h*z - 112*a^3*c^3*d^3*e^3*g*h*z - 3*b^4*c^2*d^4*e^2*f*h*z + 120*a^3*c^3*d^2*e^4*f*h*z - 16*a^2*c^4*d^4*e^2*f*h*z + 14*b^3*c^3*d^4*e^2*f*g*z - 2*b^4*c^2*d^3*e^3*f*g*z + 16*a^2*c^4*d^3*e^3*f*g*z + 8*a*b^4*c*d^4*e^2*h^2*z + 4*a^2*b*c^3*d^5*e*h^2*z + 2*a*b^3*c^2*d^5*e*h^2*z + 8*a*b^4*c*d^2*e^4*g^2*z + 4*a^3*b*c^2*d*e^5*g^2*z + 2*a^2*b^3*c*d*e^5*g^2*z + 48*a*b*c^4*d^3*e^3*f^2*z + 36*a^2*b*c^3*d*e^5*f^2*z - 6*a*b^3*c^2*d*e^5*f^2*z - 45*a^2*b^2*c^2*d^4*e^2*h^2*z - 45*a^2*b^2*c^2*d^2*e^4*g^2*z + 2*b^5*c*d^4*e^2*g*h*z - b^4*c^2*d^5*e*g*h*z + 8*a^4*c^2*d*e^5*g*h*z + 8*a^2*c^4*d^5*e*g*h*z + 2*b^3*c^3*d^5*e*f*h*z - 14*b^2*c^4*d^5*e*f*g*z - 2*b^5*c*d^2*e^4*f*g*z + 2*a*b^5*d^2*e^4*g*h*z - a^2*b^4*d*e^5*g*h*z - 120*a^3*c^3*d*e^5*f*g*z - 6*a^3*b^2*c*e^6*f*h*z + 12*a^3*b*c^2*e^6*f*g*z - 2*a^2*b^3*c*e^6*f*g*z - 4*a^4*b*c*d*e^5*h^2*z - 4*a*b*c^4*d^5*e*g^2*z + 6*a^3*b^2*c*d^2*e^4*h^2*z + 2*a^2*b^3*c*d^3*e^3*h^2*z + 6*a*b^2*c^3*d^4*e^2*g^2*z + 2*a*b^3*c^2*d^3*e^3*g^2*z - 18*a*b^2*c^3*d^2*e^4*f^2*z - b^6*d^2*e^4*f*h*z + 12*b*c^5*d^5*e*f^2*z + 12*a*b^4*c*e^6*f^2*z + 56*a^3*c^3*d^4*e^2*h^2*z - 5*b^4*c^2*d^4*e^2*g^2*z - 4*a^4*c^2*d^2*e^4*h^2*z + 56*a^3*c^3*d^2*e^4*g^2*z - 9*b^2*c^4*d^4*e^2*f^2*z - 5*a^2*b^4*d^2*e^4*h^2*z - 4*a^2*c^4*d^4*e^2*g^2*z + 3*b^4*c^2*d^2*e^4*f^2*z - 2*b^3*c^3*d^3*e^3*f^2*z - 36*a^2*c^4*d^2*e^4*f^2*z - 45*a^2*b^2*c^2*e^6*f^2*z + 2*b^6*d*e^5*f*g*z - 8*a*c^5*d^6*f*h*z + 4*b*c^5*d^6*f*g*z + 4*b^3*c^3*d^5*e*g^2*z + 2*b^5*c*d^3*e^3*g^2*z + 4*a^3*b^3*d*e^5*h^2*z + 2*a*b^5*d^3*e^3*h^2*z - 24*a*c^5*d^4*e^2*f^2*z + b^6*d^3*e^3*g*h*z + a^2*b^4*e^6*f*h*z - b^6*d^4*e^2*h^2*z - b^6*d^2*e^4*g^2*z - 4*a^4*c^2*e^6*g^2*z - 4*a^2*c^4*d^6*h^2*z - b^2*c^4*d^6*g^2*z - a^4*b^2*e^6*h^2*z + 48*a^3*c^3*e^6*f^2*z - 4*c^6*d^6*f^2*z - b^6*e^6*f^2*z - 16*a*b*c^2*d^2*e^3*f*g*h - 4*a*b^2*c*d*e^4*f*g*h - 4*b*c^3*d^4*e*f*g*h - 4*a^2*b*c*e^5*f*g*h + 6*b^2*c^2*d^3*e^2*f*g*h - 8*a^2*b*c*d^2*e^3*g*h^2 + 8*a*b*c^2*d^3*e^2*g^2*h + 2*a*b^2*c*d^3*e^2*g*h^2 - 2*a*b^2*c*d^2*e^3*g^2*h + 6*a*b^2*c*d^2*e^3*f*h^2 + 4*b^3*c*d^2*e^3*f*g*h - 16*a*c^3*d^3*e^2*f*g*h - 8*a^2*c^2*d*e^4*f*g*h + 4*a^2*b*c*d*e^4*g^2*h - 4*a*b*c^2*d^4*e*g*h^2 + 4*a^2*b*c*d*e^4*f*h^2 + 16*a*b*c^2*d*e^4*f*g^2 - 2*b^3*c*d*e^4*f^2*h + 8*a*c^3*d^4*e*f*h^2 - 4*b^3*c*d*e^4*f*g^2 - 24*a*c^3*d*e^4*f^2*g - 2*a*b^3*d*e^4*f*h^2 + 6*a*b^2*c*e^5*f^2*h - 12*a*b*c^2*e^5*f^2*g - 12*a^2*c^2*d^3*e^2*g*h^2 + 12*a^2*c^2*d^2*e^3*g^2*h - 3*b^2*c^2*d^2*e^3*f^2*h - 5*b^2*c^2*d^2*e^3*f*g^2 + 4*a^2*c^2*d^2*e^3*f*h^2 + 2*b^4*d*e^4*f*g*h - 2*b^3*c*d^3*e^2*g^2*h - 4*b*c^3*d^3*e^2*f^2*h - 2*b^3*c*d^3*e^2*f*h^2 + 24*a*c^3*d^2*e^3*f^2*h + 9*b^2*c^2*d*e^4*f^2*g + 4*b*c^3*d^3*e^2*f*g^2 + 2*a*b^3*d^2*e^3*g*h^2 - a^2*b^2*d*e^4*g*h^2 + 8*a*c^3*d^2*e^3*f*g^2 + 4*a^2*b*c*d^3*e^2*h^3 - 4*a*b*c^2*d^2*e^3*g^3 - b^4*d^2*e^3*g^2*h - 4*c^4*d^3*e^2*f^2*g - b^4*d^2*e^3*f*h^2 + 4*a^2*c^2*e^5*f*g^2 + 4*a^2*c^2*d^4*e*h^3 + 2*b^3*c*d^2*e^3*g^3 - 4*a^2*c^2*d*e^4*g^3 - 2*a*b^3*d^3*e^2*h^3 + 4*c^4*d^4*e*f^2*h + 2*b^3*c*e^5*f^2*g - 4*b*c^3*d*e^4*f^3 + b^2*c^2*d^4*e*g^2*h - b^2*c^2*d^3*e^2*g^3 + b^4*d^3*e^2*g*h^2 + a^2*b^2*e^5*f*h^2 + 4*c^4*d^2*e^3*f^3 - 3*b^2*c^2*e^5*f^3 + a^2*b^2*d^2*e^3*h^3 - b^4*e^5*f^2*h + 16*a*c^3*e^5*f^3, z, k)*((128*a^5*c^4*d*e^6 - 16*a^5*b*c^3*e^7 - a^3*b^5*c*e^7 - b^5*c^4*d^6*e - b^8*c*d^3*e^4 + 8*a^4*b^3*c^2*e^7 + 128*a^3*c^6*d^5*e^2 + 256*a^4*c^5*d^3*e^4 + b^6*c^3*d^5*e^2 + b^7*c^2*d^4*e^3 - 48*a^2*b^2*c^5*d^5*e^2 + 168*a^2*b^3*c^4*d^4*e^3 - 80*a^2*b^4*c^3*d^3*e^4 - 27*a^2*b^5*c^2*d^2*e^5 + 32*a^3*b^2*c^4*d^3*e^4 + 168*a^3*b^3*c^3*d^2*e^5 + 8*a*b^3*c^5*d^6*e + a*b^7*c*d^2*e^5 - 16*a^2*b*c^6*d^6*e + a^2*b^6*c*d*e^6 - 27*a*b^5*c^3*d^4*e^3 + 18*a*b^6*c^2*d^3*e^4 - 304*a^3*b*c^5*d^4*e^3 - 304*a^4*b*c^4*d^2*e^5 - 48*a^4*b^2*c^3*d*e^6)/(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3) - (x*(2*a^2*b^6*c*e^7 - 96*a^5*c^4*e^7 + 32*a^2*c^7*d^6*e + 2*b^4*c^5*d^6*e + 2*b^8*c*d^2*e^5 - 22*a^3*b^4*c^2*e^7 + 80*a^4*b^2*c^3*e^7 - 32*a^3*c^6*d^4*e^3 - 160*a^4*c^5*d^2*e^5 - 6*b^5*c^4*d^5*e^2 + 8*b^6*c^3*d^4*e^3 - 6*b^7*c^2*d^3*e^4 - 4*a*b^7*c*d*e^6 + 144*a^2*b^2*c^5*d^4*e^3 - 128*a^2*b^3*c^4*d^3*e^4 + 6*a^2*b^4*c^3*d^2*e^5 + 112*a^3*b^2*c^4*d^2*e^5 - 16*a*b^2*c^6*d^6*e + 160*a^4*b*c^4*d*e^6 + 48*a*b^3*c^5*d^5*e^2 - 66*a*b^4*c^4*d^4*e^3 + 52*a*b^5*c^3*d^3*e^4 - 14*a*b^6*c^2*d^2*e^5 - 96*a^2*b*c^6*d^5*e^2 + 42*a^2*b^5*c^2*d*e^6 + 64*a^3*b*c^5*d^3*e^4 - 144*a^3*b^3*c^3*d*e^6))/(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)) - (x*(8*a^3*b*c^3*e^6*g - 2*a*b^4*c^2*e^6*f - 48*a^3*c^4*e^6*f - 16*a*c^6*d^4*e^2*f + a^2*b^4*c*e^6*h + 32*a^3*c^4*d*e^5*g + 2*b^5*c^2*d*e^5*f + b^6*c*d^2*e^4*h + 20*a^2*b^2*c^3*e^6*f - 2*a^2*b^3*c^2*e^6*g - 64*a^2*c^5*d^2*e^4*f - 4*a^3*b^2*c^2*e^6*h + 32*a^2*c^5*d^3*e^3*g + 4*b^2*c^5*d^4*e^2*f - 8*b^3*c^4*d^3*e^3*f + 2*b^4*c^3*d^2*e^4*f - 32*a^2*c^5*d^4*e^2*h - 32*a^3*c^4*d^2*e^4*h - 2*b^3*c^4*d^4*e^2*g + 6*b^4*c^3*d^3*e^3*g - 4*b^5*c^2*d^2*e^4*g - b^4*c^3*d^4*e^2*h + 8*a*b^2*c^4*d^2*e^4*f - 32*a*b^2*c^4*d^3*e^3*g + 20*a*b^3*c^3*d^2*e^4*g - 16*a^2*b*c^4*d^2*e^4*g - 32*a^2*b^2*c^3*d*e^5*g + 12*a*b^2*c^4*d^4*e^2*h - 8*a*b^3*c^3*d^3*e^3*h - 4*a*b^4*c^2*d^2*e^4*h + 32*a^2*b*c^4*d^3*e^3*h + 8*a^2*b^3*c^2*d*e^5*h - 2*a*b^5*c*d*e^5*h + 8*a^2*b^2*c^3*d^2*e^4*h + 32*a*b*c^5*d^3*e^3*f - 24*a*b^3*c^3*d*e^5*f + 64*a^2*b*c^4*d*e^5*f + 8*a*b*c^5*d^4*e^2*g + 6*a*b^4*c^2*d*e^5*g))/(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3)) - (4*a^2*c^3*d^3*e^2*h^2 - 4*c^5*d^3*e^2*f^2 - b^3*c^2*e^5*f^2 - b^2*c^3*d^3*e^2*g^2 + b^3*c^2*d^2*e^3*g^2 + 4*a*b*c^3*e^5*f^2 - 8*a*c^4*d*e^4*f^2 - 8*a^2*c^3*e^5*f*g + 4*b*c^4*d^2*e^3*f^2 + 4*a^2*c^3*d*e^4*g^2 + b^2*c^3*d*e^4*f^2 - 2*a*b^2*c^2*d*e^4*g^2 + a*b^3*c*d^2*e^3*h^2 - a^2*b^2*c*d*e^4*h^2 - 4*b^2*c^3*d^2*e^3*f*g - 8*a^2*c^3*d^2*e^3*g*h - 2*b^2*c^3*d^3*e^2*f*h + b^3*c^2*d^2*e^3*f*h + b^3*c^2*d^3*e^2*g*h - a*b^3*c*e^5*f*h + b^4*c*d*e^4*f*h - 2*a*b^2*c^2*d^3*e^2*h^2 + 2*a*b^2*c^2*e^5*f*g + 4*a^2*b*c^2*e^5*f*h + 4*b*c^4*d^3*e^2*f*g + 8*a^2*c^3*d*e^4*f*h - b^4*c*d^2*e^3*g*h + 4*a*b*c^3*d^2*e^3*f*h - 8*a*b^2*c^2*d*e^4*f*h + 2*a*b^2*c^2*d^2*e^3*g*h + 4*a*b*c^3*d*e^4*f*g + a*b^3*c*d*e^4*g*h)/(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3) + (x*(4*a^2*c^3*e^5*g^2 + b^2*c^3*e^5*f^2 + 4*c^5*d^2*e^3*f^2 + 4*a^2*c^3*d^2*e^3*h^2 + b^2*c^3*d^2*e^3*g^2 - 4*b*c^4*d*e^4*f^2 + a^2*b^2*c*e^5*h^2 + b^4*c*d^2*e^3*h^2 + 4*a^2*b*c^2*d*e^4*h^2 + 4*b^2*c^3*d^2*e^3*f*h - 2*b^3*c^2*d^2*e^3*g*h - 4*a*b*c^3*e^5*f*g + 8*a*c^4*d*e^4*f*g - 4*a*b^2*c^2*d^2*e^3*h^2 - 4*a*b*c^3*d*e^4*g^2 - 2*a*b^3*c*d*e^4*h^2 + 2*a*b^2*c^2*e^5*f*h - 4*a^2*b*c^2*e^5*g*h - 8*a*c^4*d^2*e^3*f*h - 4*b*c^4*d^2*e^3*f*g + 2*b^2*c^3*d*e^4*f*g - 8*a^2*c^3*d*e^4*g*h - 2*b^3*c^2*d*e^4*f*h + 4*a*b*c^3*d^2*e^3*g*h + 6*a*b^2*c^2*d*e^4*g*h))/(a^2*b^4*e^4 + 16*a^2*c^4*d^4 + 16*a^4*c^2*e^4 + b^4*c^2*d^4 + b^6*d^2*e^2 - 8*a*b^2*c^3*d^4 - 8*a^3*b^2*c*e^4 + 32*a^3*c^3*d^2*e^2 - 2*a*b^5*d*e^3 - 2*b^5*c*d^3*e + 16*a*b^3*c^2*d^3*e - 6*a*b^4*c*d^2*e^2 - 32*a^2*b*c^3*d^3*e + 16*a^2*b^3*c*d*e^3 - 32*a^3*b*c^2*d*e^3))*root(768*a^5*b*c^4*d^3*e^5*z^3 + 768*a^4*b*c^5*d^5*e^3*z^3 - 192*a^5*b^3*c^2*d*e^7*z^3 - 192*a^2*b^3*c^5*d^7*e*z^3 - 68*a^3*b^6*c*d^2*e^6*z^3 - 68*a*b^6*c^3*d^6*e^2*z^3 + 36*a^2*b^7*c*d^3*e^5*z^3 + 36*a*b^7*c^2*d^5*e^3*z^3 + 256*a^6*b*c^3*d*e^7*z^3 + 256*a^3*b*c^6*d^7*e*z^3 + 48*a^4*b^5*c*d*e^7*z^3 + 48*a*b^5*c^4*d^7*e*z^3 - 480*a^4*b^2*c^4*d^4*e^4*z^3 + 440*a^3*b^4*c^3*d^4*e^4*z^3 - 320*a^4*b^3*c^3*d^3*e^5*z^3 - 320*a^3*b^3*c^4*d^5*e^3*z^3 + 240*a^4*b^4*c^2*d^2*e^6*z^3 + 240*a^2*b^4*c^4*d^6*e^2*z^3 - 192*a^5*b^2*c^3*d^2*e^6*z^3 - 192*a^3*b^2*c^5*d^6*e^2*z^3 - 90*a^2*b^6*c^2*d^4*e^4*z^3 - 48*a^3*b^5*c^2*d^3*e^5*z^3 - 48*a^2*b^5*c^3*d^5*e^3*z^3 - 4*b^9*c*d^5*e^3*z^3 - 4*b^7*c^3*d^7*e*z^3 - 4*a^3*b^7*d*e^7*z^3 - 4*a*b^9*d^3*e^5*z^3 - 12*a^5*b^4*c*e^8*z^3 - 12*a*b^4*c^5*d^8*z^3 + 6*b^8*c^2*d^6*e^2*z^3 - 384*a^5*c^5*d^4*e^4*z^3 - 256*a^6*c^4*d^2*e^6*z^3 - 256*a^4*c^6*d^6*e^2*z^3 + 6*a^2*b^8*d^2*e^6*z^3 + 48*a^6*b^2*c^2*e^8*z^3 + 48*a^2*b^2*c^6*d^8*z^3 - 64*a^7*c^3*e^8*z^3 - 64*a^3*c^7*d^8*z^3 + b^10*d^4*e^4*z^3 + b^6*c^4*d^8*z^3 + a^4*b^6*e^8*z^3 - 28*a*b^4*c*d^3*e^3*g*h*z - 10*a^3*b^2*c*d*e^5*g*h*z - 10*a*b^2*c^3*d^5*e*g*h*z + 16*a*b^4*c*d^2*e^4*f*h*z + 14*a^2*b^3*c*d*e^5*f*h*z + 4*a*b*c^4*d^4*e^2*f*g*z + 84*a^2*b^2*c^2*d^3*e^3*g*h*z - 108*a^2*b^2*c^2*d^2*e^4*f*h*z + 16*a*b*c^4*d^5*e*f*h*z - 20*a*b^4*c*d*e^5*f*g*z + 8*a^2*b^3*c*d^2*e^4*g*h*z + 8*a*b^3*c^2*d^4*e^2*g*h*z - 4*a^3*b*c^2*d^2*e^4*g*h*z - 4*a^2*b*c^3*d^4*e^2*g*h*z + 16*a^2*b*c^3*d^3*e^3*f*h*z + 16*a*b^3*c^2*d^3*e^3*f*h*z - 14*a*b^2*c^3*d^4*e^2*f*h*z + 66*a^2*b^2*c^2*d*e^5*f*g*z - 36*a*b^2*c^3*d^3*e^3*f*g*z + 20*a*b^3*c^2*d^2*e^4*f*g*z + 12*a^2*b*c^3*d^2*e^4*f*g*z + 8*a*c^5*d^5*e*f*g*z + 4*a^4*b*c*e^6*g*h*z - 2*a*b^5*d*e^5*f*h*z + 4*a*b*c^4*d^6*g*h*z - 112*a^3*c^3*d^3*e^3*g*h*z - 3*b^4*c^2*d^4*e^2*f*h*z + 120*a^3*c^3*d^2*e^4*f*h*z - 16*a^2*c^4*d^4*e^2*f*h*z + 14*b^3*c^3*d^4*e^2*f*g*z - 2*b^4*c^2*d^3*e^3*f*g*z + 16*a^2*c^4*d^3*e^3*f*g*z + 8*a*b^4*c*d^4*e^2*h^2*z + 4*a^2*b*c^3*d^5*e*h^2*z + 2*a*b^3*c^2*d^5*e*h^2*z + 8*a*b^4*c*d^2*e^4*g^2*z + 4*a^3*b*c^2*d*e^5*g^2*z + 2*a^2*b^3*c*d*e^5*g^2*z + 48*a*b*c^4*d^3*e^3*f^2*z + 36*a^2*b*c^3*d*e^5*f^2*z - 6*a*b^3*c^2*d*e^5*f^2*z - 45*a^2*b^2*c^2*d^4*e^2*h^2*z - 45*a^2*b^2*c^2*d^2*e^4*g^2*z + 2*b^5*c*d^4*e^2*g*h*z - b^4*c^2*d^5*e*g*h*z + 8*a^4*c^2*d*e^5*g*h*z + 8*a^2*c^4*d^5*e*g*h*z + 2*b^3*c^3*d^5*e*f*h*z - 14*b^2*c^4*d^5*e*f*g*z - 2*b^5*c*d^2*e^4*f*g*z + 2*a*b^5*d^2*e^4*g*h*z - a^2*b^4*d*e^5*g*h*z - 120*a^3*c^3*d*e^5*f*g*z - 6*a^3*b^2*c*e^6*f*h*z + 12*a^3*b*c^2*e^6*f*g*z - 2*a^2*b^3*c*e^6*f*g*z - 4*a^4*b*c*d*e^5*h^2*z - 4*a*b*c^4*d^5*e*g^2*z + 6*a^3*b^2*c*d^2*e^4*h^2*z + 2*a^2*b^3*c*d^3*e^3*h^2*z + 6*a*b^2*c^3*d^4*e^2*g^2*z + 2*a*b^3*c^2*d^3*e^3*g^2*z - 18*a*b^2*c^3*d^2*e^4*f^2*z - b^6*d^2*e^4*f*h*z + 12*b*c^5*d^5*e*f^2*z + 12*a*b^4*c*e^6*f^2*z + 56*a^3*c^3*d^4*e^2*h^2*z - 5*b^4*c^2*d^4*e^2*g^2*z - 4*a^4*c^2*d^2*e^4*h^2*z + 56*a^3*c^3*d^2*e^4*g^2*z - 9*b^2*c^4*d^4*e^2*f^2*z - 5*a^2*b^4*d^2*e^4*h^2*z - 4*a^2*c^4*d^4*e^2*g^2*z + 3*b^4*c^2*d^2*e^4*f^2*z - 2*b^3*c^3*d^3*e^3*f^2*z - 36*a^2*c^4*d^2*e^4*f^2*z - 45*a^2*b^2*c^2*e^6*f^2*z + 2*b^6*d*e^5*f*g*z - 8*a*c^5*d^6*f*h*z + 4*b*c^5*d^6*f*g*z + 4*b^3*c^3*d^5*e*g^2*z + 2*b^5*c*d^3*e^3*g^2*z + 4*a^3*b^3*d*e^5*h^2*z + 2*a*b^5*d^3*e^3*h^2*z - 24*a*c^5*d^4*e^2*f^2*z + b^6*d^3*e^3*g*h*z + a^2*b^4*e^6*f*h*z - b^6*d^4*e^2*h^2*z - b^6*d^2*e^4*g^2*z - 4*a^4*c^2*e^6*g^2*z - 4*a^2*c^4*d^6*h^2*z - b^2*c^4*d^6*g^2*z - a^4*b^2*e^6*h^2*z + 48*a^3*c^3*e^6*f^2*z - 4*c^6*d^6*f^2*z - b^6*e^6*f^2*z - 16*a*b*c^2*d^2*e^3*f*g*h - 4*a*b^2*c*d*e^4*f*g*h - 4*b*c^3*d^4*e*f*g*h - 4*a^2*b*c*e^5*f*g*h + 6*b^2*c^2*d^3*e^2*f*g*h - 8*a^2*b*c*d^2*e^3*g*h^2 + 8*a*b*c^2*d^3*e^2*g^2*h + 2*a*b^2*c*d^3*e^2*g*h^2 - 2*a*b^2*c*d^2*e^3*g^2*h + 6*a*b^2*c*d^2*e^3*f*h^2 + 4*b^3*c*d^2*e^3*f*g*h - 16*a*c^3*d^3*e^2*f*g*h - 8*a^2*c^2*d*e^4*f*g*h + 4*a^2*b*c*d*e^4*g^2*h - 4*a*b*c^2*d^4*e*g*h^2 + 4*a^2*b*c*d*e^4*f*h^2 + 16*a*b*c^2*d*e^4*f*g^2 - 2*b^3*c*d*e^4*f^2*h + 8*a*c^3*d^4*e*f*h^2 - 4*b^3*c*d*e^4*f*g^2 - 24*a*c^3*d*e^4*f^2*g - 2*a*b^3*d*e^4*f*h^2 + 6*a*b^2*c*e^5*f^2*h - 12*a*b*c^2*e^5*f^2*g - 12*a^2*c^2*d^3*e^2*g*h^2 + 12*a^2*c^2*d^2*e^3*g^2*h - 3*b^2*c^2*d^2*e^3*f^2*h - 5*b^2*c^2*d^2*e^3*f*g^2 + 4*a^2*c^2*d^2*e^3*f*h^2 + 2*b^4*d*e^4*f*g*h - 2*b^3*c*d^3*e^2*g^2*h - 4*b*c^3*d^3*e^2*f^2*h - 2*b^3*c*d^3*e^2*f*h^2 + 24*a*c^3*d^2*e^3*f^2*h + 9*b^2*c^2*d*e^4*f^2*g + 4*b*c^3*d^3*e^2*f*g^2 + 2*a*b^3*d^2*e^3*g*h^2 - a^2*b^2*d*e^4*g*h^2 + 8*a*c^3*d^2*e^3*f*g^2 + 4*a^2*b*c*d^3*e^2*h^3 - 4*a*b*c^2*d^2*e^3*g^3 - b^4*d^2*e^3*g^2*h - 4*c^4*d^3*e^2*f^2*g - b^4*d^2*e^3*f*h^2 + 4*a^2*c^2*e^5*f*g^2 + 4*a^2*c^2*d^4*e*h^3 + 2*b^3*c*d^2*e^3*g^3 - 4*a^2*c^2*d*e^4*g^3 - 2*a*b^3*d^3*e^2*h^3 + 4*c^4*d^4*e*f^2*h + 2*b^3*c*e^5*f^2*g - 4*b*c^3*d*e^4*f^3 + b^2*c^2*d^4*e*g^2*h - b^2*c^2*d^3*e^2*g^3 + b^4*d^3*e^2*g*h^2 + a^2*b^2*e^5*f*h^2 + 4*c^4*d^2*e^3*f^3 - 3*b^2*c^2*e^5*f^3 + a^2*b^2*d^2*e^3*h^3 - b^4*e^5*f^2*h + 16*a*c^3*e^5*f^3, z, k), k, 1, 3) - ((a*b*d*h - 2*a^2*e*h - b^2*e*f + a*b*e*g - 2*a*c*d*g + 2*a*c*e*f + b*c*d*f)/(a*b^2*e^2 - 4*a*c^2*d^2 - 4*a^2*c*e^2 + b^2*c*d^2 - b^3*d*e + 4*a*b*c*d*e) - (x*(a*b*e*h - b^2*d*h - 2*c^2*d*f + 2*a*c*d*h - 2*a*c*e*g + b*c*d*g + b*c*e*f))/(a*b^2*e^2 - 4*a*c^2*d^2 - 4*a^2*c*e^2 + b^2*c*d^2 - b^3*d*e + 4*a*b*c*d*e))/(a + b*x + c*x^2)","B"
159,1,26278,673,8.925965,"\text{Not used}","int((f + g*x + h*x^2)/((d + e*x)^2*(a + b*x + c*x^2)^2),x)","\frac{\frac{h\,a^2\,b\,d\,e^2-8\,h\,a^2\,c\,d^2\,e+6\,g\,a^2\,c\,d\,e^2-4\,f\,a^2\,c\,e^3+h\,a\,b^2\,d^2\,e-2\,g\,a\,b^2\,d\,e^2+f\,a\,b^2\,e^3+h\,a\,b\,c\,d^3+2\,g\,a\,b\,c\,d^2\,e-3\,f\,a\,b\,c\,d\,e^2-2\,g\,a\,c^2\,d^3+4\,f\,a\,c^2\,d^2\,e+f\,b^3\,d\,e^2-2\,f\,b^2\,c\,d^2\,e+f\,b\,c^2\,d^3}{4\,a^3\,c\,e^4-a^2\,b^2\,e^4-8\,a^2\,b\,c\,d\,e^3+8\,a^2\,c^2\,d^2\,e^2+2\,a\,b^3\,d\,e^3+2\,a\,b^2\,c\,d^2\,e^2-8\,a\,b\,c^2\,d^3\,e+4\,a\,c^3\,d^4-b^4\,d^2\,e^2+2\,b^3\,c\,d^3\,e-b^2\,c^2\,d^4}+\frac{x\,\left(h\,a^2\,b\,e^3-2\,h\,a^2\,c\,d\,e^2+2\,g\,a^2\,c\,e^3-g\,a\,b^2\,e^3-5\,h\,a\,b\,c\,d^2\,e+5\,g\,a\,b\,c\,d\,e^2-7\,f\,a\,b\,c\,e^3-2\,h\,a\,c^2\,d^3+2\,g\,a\,c^2\,d^2\,e+2\,f\,a\,c^2\,d\,e^2+h\,b^3\,d^2\,e-g\,b^3\,d\,e^2+2\,f\,b^3\,e^3+h\,b^2\,c\,d^3-f\,b^2\,c\,d\,e^2-g\,b\,c^2\,d^3-f\,b\,c^2\,d^2\,e+2\,f\,c^3\,d^3\right)}{4\,a^3\,c\,e^4-a^2\,b^2\,e^4-8\,a^2\,b\,c\,d\,e^3+8\,a^2\,c^2\,d^2\,e^2+2\,a\,b^3\,d\,e^3+2\,a\,b^2\,c\,d^2\,e^2-8\,a\,b\,c^2\,d^3\,e+4\,a\,c^3\,d^4-b^4\,d^2\,e^2+2\,b^3\,c\,d^3\,e-b^2\,c^2\,d^4}-\frac{x^2\,\left(-2\,h\,a^2\,c\,e^3+2\,h\,a\,b\,c\,d\,e^2+g\,a\,b\,c\,e^3+6\,h\,a\,c^2\,d^2\,e-8\,g\,a\,c^2\,d\,e^2+6\,f\,a\,c^2\,e^3-2\,h\,b^2\,c\,d^2\,e+g\,b^2\,c\,d\,e^2-2\,f\,b^2\,c\,e^3+g\,b\,c^2\,d^2\,e+2\,f\,b\,c^2\,d\,e^2-2\,f\,c^3\,d^2\,e\right)}{4\,a^3\,c\,e^4-a^2\,b^2\,e^4-8\,a^2\,b\,c\,d\,e^3+8\,a^2\,c^2\,d^2\,e^2+2\,a\,b^3\,d\,e^3+2\,a\,b^2\,c\,d^2\,e^2-8\,a\,b\,c^2\,d^3\,e+4\,a\,c^3\,d^4-b^4\,d^2\,e^2+2\,b^3\,c\,d^3\,e-b^2\,c^2\,d^4}}{c\,e\,x^3+\left(b\,e+c\,d\right)\,x^2+\left(a\,e+b\,d\right)\,x+a\,d}+\left(\sum 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used",1,"((a*b^2*e^3*f - 2*a*c^2*d^3*g + b*c^2*d^3*f - 4*a^2*c*e^3*f + b^3*d*e^2*f - 2*a*b^2*d*e^2*g + 4*a*c^2*d^2*e*f + a*b^2*d^2*e*h + a^2*b*d*e^2*h + 6*a^2*c*d*e^2*g - 2*b^2*c*d^2*e*f - 8*a^2*c*d^2*e*h + a*b*c*d^3*h - 3*a*b*c*d*e^2*f + 2*a*b*c*d^2*e*g)/(4*a*c^3*d^4 + 4*a^3*c*e^4 - a^2*b^2*e^4 - b^2*c^2*d^4 - b^4*d^2*e^2 + 8*a^2*c^2*d^2*e^2 + 2*a*b^3*d*e^3 + 2*b^3*c*d^3*e - 8*a*b*c^2*d^3*e - 8*a^2*b*c*d*e^3 + 2*a*b^2*c*d^2*e^2) + (x*(2*b^3*e^3*f + 2*c^3*d^3*f - a*b^2*e^3*g - 2*a*c^2*d^3*h - b*c^2*d^3*g + a^2*b*e^3*h + 2*a^2*c*e^3*g + b^2*c*d^3*h - b^3*d*e^2*g + b^3*d^2*e*h + 2*a*c^2*d*e^2*f + 2*a*c^2*d^2*e*g - b*c^2*d^2*e*f - b^2*c*d*e^2*f - 2*a^2*c*d*e^2*h - 7*a*b*c*e^3*f + 5*a*b*c*d*e^2*g - 5*a*b*c*d^2*e*h))/(4*a*c^3*d^4 + 4*a^3*c*e^4 - a^2*b^2*e^4 - b^2*c^2*d^4 - b^4*d^2*e^2 + 8*a^2*c^2*d^2*e^2 + 2*a*b^3*d*e^3 + 2*b^3*c*d^3*e - 8*a*b*c^2*d^3*e - 8*a^2*b*c*d*e^3 + 2*a*b^2*c*d^2*e^2) - (x^2*(6*a*c^2*e^3*f - 2*b^2*c*e^3*f - 2*a^2*c*e^3*h - 2*c^3*d^2*e*f - 8*a*c^2*d*e^2*g + 2*b*c^2*d*e^2*f + 6*a*c^2*d^2*e*h + b*c^2*d^2*e*g + b^2*c*d*e^2*g - 2*b^2*c*d^2*e*h + a*b*c*e^3*g + 2*a*b*c*d*e^2*h))/(4*a*c^3*d^4 + 4*a^3*c*e^4 - a^2*b^2*e^4 - b^2*c^2*d^4 - b^4*d^2*e^2 + 8*a^2*c^2*d^2*e^2 + 2*a*b^3*d*e^3 + 2*b^3*c*d^3*e - 8*a*b*c^2*d^3*e - 8*a^2*b*c*d*e^3 + 2*a*b^2*c*d^2*e^2))/(a*d + x*(a*e + b*d) + x^2*(b*e + c*d) + c*e*x^3) + symsum(log((x*(36*a^2*c^5*e^7*f^2 + 4*b^4*c^3*e^7*f^2 + 4*a^4*c^3*e^7*h^2 + 4*c^7*d^4*e^3*f^2 + a^2*b^2*c^3*e^7*g^2 + 64*a^2*c^5*d^2*e^5*g^2 + 12*b^2*c^5*d^2*e^5*f^2 + 36*a^2*c^5*d^4*e^3*h^2 - 24*a^3*c^4*d^2*e^5*h^2 + b^2*c^5*d^4*e^3*g^2 + 2*b^3*c^4*d^3*e^4*g^2 + b^4*c^3*d^2*e^5*g^2 + 4*b^4*c^3*d^4*e^3*h^2 - 24*a^3*c^4*e^7*f*h - 24*a*b^2*c^4*e^7*f^2 - 24*a*c^6*d^2*e^5*f^2 - 8*b*c^6*d^3*e^4*f^2 - 8*b^3*c^4*d*e^6*f^2 - 16*a*b*c^5*d^3*e^4*g^2 + 2*a*b^3*c^3*d*e^6*g^2 - 16*a^2*b*c^4*d*e^6*g^2 - 8*a^3*b*c^3*d*e^6*h^2 + 8*a^2*b^2*c^3*e^7*f*h + 80*a^2*c^5*d^2*e^5*f*h - 96*a^2*c^5*d^3*e^4*g*h + 8*b^2*c^5*d^4*e^3*f*h - 8*b^3*c^4*d^3*e^4*f*h + 8*b^4*c^3*d^2*e^5*f*h - 4*b^3*c^4*d^4*e^3*g*h - 4*b^4*c^3*d^3*e^4*g*h - 14*a*b^2*c^4*d^2*e^5*g^2 - 24*a*b^2*c^4*d^4*e^3*h^2 - 8*a*b^3*c^3*d^3*e^4*h^2 + 24*a^2*b*c^4*d^3*e^4*h^2 + 24*a*b*c^5*d*e^6*f^2 - 4*a*b^3*c^3*e^7*f*g + 12*a^2*b*c^4*e^7*f*g + 32*a*c^6*d^3*e^4*f*g - 96*a^2*c^5*d*e^6*f*g - 4*a^3*b*c^3*e^7*g*h - 24*a*c^6*d^4*e^3*f*h - 4*b*c^6*d^4*e^3*f*g - 4*b^4*c^3*d*e^6*f*g + 32*a^3*c^4*d*e^6*g*h + 12*a^2*b^2*c^3*d^2*e^5*h^2 - 24*a*b*c^5*d^2*e^5*f*g + 48*a*b^2*c^4*d*e^6*f*g + 16*a*b*c^5*d^3*e^4*f*h - 8*a*b^3*c^3*d*e^6*f*h + 16*a^2*b*c^4*d*e^6*f*h + 12*a*b*c^5*d^4*e^3*g*h - 40*a*b^2*c^4*d^2*e^5*f*h + 48*a*b^2*c^4*d^3*e^4*g*h - 24*a^2*b*c^4*d^2*e^5*g*h))/(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5) - root(3840*a^6*b*c^5*d^5*e^7*z^3 + 3840*a^5*b*c^6*d^7*e^5*z^3 + 1920*a^7*b*c^4*d^3*e^9*z^3 + 1920*a^4*b*c^7*d^9*e^3*z^3 - 288*a^7*b^3*c^2*d*e^11*z^3 - 288*a^2*b^3*c^7*d^11*e*z^3 + 210*a^4*b^7*c*d^3*e^9*z^3 + 210*a*b^7*c^4*d^9*e^3*z^3 - 174*a^5*b^6*c*d^2*e^10*z^3 - 174*a*b^6*c^5*d^10*e^2*z^3 - 120*a^3*b^8*c*d^4*e^8*z^3 - 120*a*b^8*c^3*d^8*e^4*z^3 + 12*a^2*b^9*c*d^5*e^7*z^3 + 12*a*b^9*c^2*d^7*e^5*z^3 + 384*a^8*b*c^3*d*e^11*z^3 + 384*a^3*b*c^8*d^11*e*z^3 + 72*a^6*b^5*c*d*e^11*z^3 + 72*a*b^5*c^6*d^11*e*z^3 + 18*a*b^10*c*d^6*e^6*z^3 - 4800*a^5*b^2*c^5*d^6*e^6*z^3 - 3120*a^6*b^2*c^4*d^4*e^8*z^3 - 3120*a^4*b^2*c^6*d^8*e^4*z^3 + 2160*a^4*b^4*c^4*d^6*e^6*z^3 - 1776*a^4*b^5*c^3*d^5*e^7*z^3 - 1776*a^3*b^5*c^4*d^7*e^5*z^3 + 1740*a^5*b^4*c^3*d^4*e^8*z^3 + 1740*a^3*b^4*c^5*d^8*e^4*z^3 + 960*a^5*b^3*c^4*d^5*e^7*z^3 + 960*a^4*b^3*c^5*d^7*e^5*z^3 - 672*a^7*b^2*c^3*d^2*e^10*z^3 - 672*a^3*b^2*c^7*d^10*e^2*z^3 + 648*a^6*b^4*c^2*d^2*e^10*z^3 + 648*a^2*b^4*c^6*d^10*e^2*z^3 - 600*a^5*b^5*c^2*d^3*e^9*z^3 - 600*a^2*b^5*c^5*d^9*e^3*z^3 + 372*a^3*b^7*c^2*d^5*e^7*z^3 + 372*a^2*b^7*c^3*d^7*e^5*z^3 + 316*a^3*b^6*c^3*d^6*e^6*z^3 - 222*a^2*b^8*c^2*d^6*e^6*z^3 - 160*a^6*b^3*c^3*d^3*e^9*z^3 - 160*a^3*b^3*c^6*d^9*e^3*z^3 + 15*a^4*b^6*c^2*d^4*e^8*z^3 + 15*a^2*b^6*c^4*d^8*e^4*z^3 - 6*b^11*c*d^7*e^5*z^3 - 6*b^7*c^5*d^11*e*z^3 - 6*a^5*b^7*d*e^11*z^3 - 6*a*b^11*d^5*e^7*z^3 - 12*a^7*b^4*c*e^12*z^3 - 12*a*b^4*c^7*d^12*z^3 - 20*b^9*c^3*d^9*e^3*z^3 + 15*b^10*c^2*d^8*e^4*z^3 + 15*b^8*c^4*d^10*e^2*z^3 - 1280*a^6*c^6*d^6*e^6*z^3 - 960*a^7*c^5*d^4*e^8*z^3 - 960*a^5*c^7*d^8*e^4*z^3 - 384*a^8*c^4*d^2*e^10*z^3 - 384*a^4*c^8*d^10*e^2*z^3 - 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24*a^2*b*c^5*d^6*e^2*g*h*z + 10*a*b^3*c^4*d^6*e^2*g*h*z - 656*a^3*b*c^4*d^3*e^5*f*h*z - 308*a^3*b^3*c^2*d*e^7*f*h*z + 116*a*b^4*c^3*d^4*e^4*f*h*z - 84*a*b^5*c^2*d^3*e^5*f*h*z + 68*a*b^3*c^4*d^5*e^3*f*h*z - 48*a^2*b*c^5*d^5*e^3*f*h*z - 24*a*b^2*c^5*d^6*e^2*f*h*z + 1320*a^3*b*c^4*d^2*e^6*f*g*z - 732*a^3*b^2*c^3*d*e^7*f*g*z + 306*a^2*b^4*c^2*d*e^7*f*g*z - 304*a*b^4*c^3*d^3*e^5*f*g*z + 222*a*b^5*c^2*d^2*e^6*f*g*z + 110*a*b^3*c^4*d^4*e^4*f*g*z - 84*a*b^2*c^5*d^5*e^3*f*g*z + 16*a*c^7*d^7*e*f*g*z - 8*a*b^7*d*e^7*f*h*z + 4*a*b*c^6*d^8*g*h*z + 6*b^6*c^2*d^5*e^3*g*h*z + 6*b^5*c^3*d^6*e^2*g*h*z + 1072*a^4*c^4*d^3*e^5*g*h*z - 720*a^3*c^5*d^5*e^3*g*h*z - 8*b^6*c^2*d^4*e^4*f*h*z - 8*b^4*c^4*d^6*e^2*f*h*z + 1072*a^3*c^5*d^4*e^4*f*h*z - 960*a^4*c^4*d^2*e^6*f*h*z + 30*b^6*c^2*d^3*e^5*f*g*z + 30*b^3*c^5*d^6*e^2*f*g*z - 10*b^5*c^3*d^4*e^4*f*g*z - 10*b^4*c^4*d^5*e^3*f*g*z - 1488*a^3*c^5*d^3*e^5*f*g*z + 48*a^2*c^6*d^5*e^3*f*g*z - 24*a^4*b^2*c^2*e^8*f*h*z + 186*a^3*b^3*c^2*e^8*f*g*z + 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4*a^2*b^6*d^2*e^6*h^2*z + 912*a^3*c^5*d^2*e^6*f^2*z - 120*a^2*c^6*d^4*e^4*f^2*z - 45*a^4*b^2*c^2*e^8*g^2*z + 264*a^3*b^2*c^3*e^8*f^2*z - 192*a^2*b^4*c^2*e^8*f^2*z + 4*b^8*d*e^7*f*g*z - 8*a*c^7*d^8*f*h*z + 4*b*c^7*d^8*f*g*z + 4*a*b^7*e^8*f*g*z + 6*b^7*c*d^3*e^5*g^2*z + 6*b^3*c^5*d^7*e*g^2*z - 48*a*c^7*d^6*e^2*f^2*z + 12*a^3*b^4*c*e^8*g^2*z - b^8*d^2*e^6*g^2*z - 4*a^6*c^2*e^8*h^2*z + 48*a^5*c^3*e^8*g^2*z - 4*a^2*c^6*d^8*h^2*z - b^2*c^6*d^8*g^2*z - 36*a^4*c^4*e^8*f^2*z - a^2*b^6*e^8*g^2*z - 4*c^8*d^8*f^2*z - 4*b^8*e^8*f^2*z - 80*a*b*c^4*d^3*e^3*f*g*h + 24*a^2*b*c^3*d*e^5*f*g*h + 16*a*b^3*c^2*d*e^5*f*g*h - 72*a*b^2*c^3*d^2*e^4*f*g*h - 48*a^2*b*c^3*d^3*e^3*g*h^2 + 16*a*b^3*c^2*d^3*e^3*g*h^2 - 12*a*b^2*c^3*d^3*e^3*g^2*h - 6*a^2*b^2*c^2*d*e^5*g^2*h - 72*a^2*b^2*c^2*d*e^5*f*h^2 + 48*a*b^2*c^3*d^3*e^3*f*h^2 + 24*a^2*b*c^3*d^2*e^4*f*h^2 - 8*a*b^3*c^2*d^2*e^4*f*h^2 - 8*b^5*c*d*e^5*f*g*h - 8*b*c^5*d^5*e*f*g*h - 8*a*b^4*c*e^6*f*g*h + 24*b^3*c^3*d^3*e^3*f*g*h + 16*b^4*c^2*d^2*e^4*f*g*h + 16*b^2*c^4*d^4*e^2*f*g*h + 48*a^2*c^4*d^2*e^4*f*g*h + 48*a^2*b^2*c^2*e^6*f*g*h + 40*a^3*b*c^2*d*e^5*g*h^2 + 28*a*b*c^4*d^4*e^2*g^2*h - 8*a^2*b^3*c*d*e^5*g*h^2 - 8*a*b^4*c*d^2*e^4*g*h^2 + 96*a*b^2*c^3*d*e^5*f^2*h + 24*a*b*c^4*d^2*e^4*f^2*h + 16*a*b*c^4*d^4*e^2*f*h^2 + 96*a*b*c^4*d^2*e^4*f*g^2 - 48*a*b^2*c^3*d*e^5*f*g^2 + 12*a^2*b^2*c^2*d^2*e^4*g*h^2 - 56*a*c^5*d^4*e^2*f*g*h - 8*a*b*c^4*d^5*e*g*h^2 + 4*a*b^4*c*d*e^5*g^2*h + 16*a*b^4*c*d*e^5*f*h^2 - 48*a*b*c^4*d*e^5*f^2*g - 24*a^3*c^3*e^6*f*g*h + 16*a*c^5*d^5*e*f*h^2 - 6*b^4*c^2*d^3*e^3*g^2*h - 6*b^3*c^3*d^4*e^2*g^2*h + 4*b^4*c^2*d^4*e^2*g*h^2 + 80*a^2*c^4*d^3*e^3*g^2*h - 44*a^2*c^4*d^4*e^2*g*h^2 + 24*a^3*c^3*d^2*e^4*g*h^2 - 16*b^3*c^3*d^2*e^4*f^2*h - 16*b^2*c^4*d^3*e^3*f^2*h - 8*b^4*c^2*d^3*e^3*f*h^2 - 8*b^3*c^3*d^4*e^2*f*h^2 + 60*b^2*c^4*d^2*e^4*f^2*g - 48*a^2*c^4*d^3*e^3*f*h^2 - 24*b^3*c^3*d^2*e^4*f*g^2 - 24*b^2*c^4*d^3*e^3*f*g^2 - 24*a^3*b*c^2*d^2*e^4*h^3 + 24*a^2*b*c^3*d^4*e^2*h^3 + 8*a^2*b^3*c*d^2*e^4*h^3 - 8*a*b^3*c^2*d^4*e^2*h^3 + 18*a*b^2*c^3*d^2*e^4*g^3 + 2*b^5*c*d^2*e^4*g^2*h + 2*b^2*c^4*d^5*e*g^2*h - 48*a^3*c^3*d*e^5*g^2*h - 8*b^4*c^2*d*e^5*f^2*h - 8*b*c^5*d^4*e^2*f^2*h - 168*a^2*c^4*d*e^5*f^2*h + 96*a*c^5*d^3*e^3*f^2*h + 64*a^3*c^3*d*e^5*f*h^2 + 12*b^4*c^2*d*e^5*f*g^2 + 12*b*c^5*d^4*e^2*f*g^2 - 168*a*c^5*d^2*e^4*f^2*g + 48*a^2*c^4*d*e^5*f*g^2 + 48*a*c^5*d^3*e^3*f*g^2 - 12*a^3*b*c^2*e^6*g^2*h + 2*a^2*b^3*c*e^6*g^2*h + 48*a^2*b*c^3*e^6*f^2*h - 48*a*b^3*c^2*e^6*f^2*h - 8*a^3*b*c^2*e^6*f*h^2 - 60*a^2*b*c^3*e^6*f*g^2 + 48*a*b^2*c^3*e^6*f^2*g + 12*a*b^3*c^2*e^6*f*g^2 + 24*a^2*b*c^3*d*e^5*g^3 - 24*a*b*c^4*d^3*e^3*g^3 - 6*a*b^3*c^2*d*e^5*g^3 - 12*c^6*d^4*e^2*f^2*g + 4*a^4*c^2*e^6*g*h^2 - 12*b^4*c^2*e^6*f^2*g + 36*a^2*c^4*e^6*f^2*g - 8*a^4*c^2*d*e^5*h^3 + 8*a^2*c^4*d^5*e*h^3 - 24*b^2*c^4*d*e^5*f^3 - 24*b*c^5*d^2*e^4*f^3 + 8*c^6*d^5*e*f^2*h + 8*b^5*c*e^6*f^2*h + 144*a*c^5*d*e^5*f^3 - 72*a*b*c^4*e^6*f^3 + 10*b^3*c^3*d^3*e^3*g^3 - 3*b^4*c^2*d^2*e^4*g^3 - 3*b^2*c^4*d^4*e^2*g^3 - 48*a^2*c^4*d^2*e^4*g^3 - 3*a^2*b^2*c^2*e^6*g^3 + 16*c^6*d^3*e^3*f^3 + 16*b^3*c^3*e^6*f^3 + 16*a^3*c^3*e^6*g^3, z, k)*((8*a^6*c^3*e^9*h - 24*a^5*c^4*e^9*f - 8*a*c^8*d^8*e*f + 2*a^2*b^6*c*e^9*f - a^3*b^5*c*e^9*g - 20*a^5*b*c^3*e^9*g + 16*a^5*c^4*d*e^8*g + 2*b^2*c^7*d^8*e*f + 2*b^8*c*d^2*e^7*f - 8*a^2*c^7*d^8*e*h - b^3*c^6*d^8*e*g - b^8*c*d^3*e^6*g - 18*a^3*b^4*c^2*e^9*f + 46*a^4*b^2*c^3*e^9*f + 9*a^4*b^3*c^2*e^9*g - 48*a^2*c^7*d^6*e^3*f - 96*a^3*c^6*d^4*e^5*f - 80*a^4*c^5*d^2*e^7*f - 2*a^5*b^2*c^2*e^9*h + 16*a^2*c^7*d^7*e^2*g + 48*a^3*c^6*d^5*e^4*g + 48*a^4*c^5*d^3*e^6*g - 6*b^3*c^6*d^7*e^2*f + 4*b^4*c^5*d^6*e^3*f + 4*b^6*c^3*d^4*e^5*f - 6*b^7*c^2*d^3*e^6*f - 16*a^3*c^6*d^6*e^3*h + 16*a^5*c^4*d^2*e^7*h + 4*b^4*c^5*d^7*e^2*g - 3*b^5*c^4*d^6*e^3*g - 3*b^6*c^3*d^5*e^4*g + 4*b^7*c^2*d^4*e^5*g - 2*b^5*c^4*d^7*e^2*h + 4*b^6*c^3*d^6*e^3*h - 2*b^7*c^2*d^5*e^4*h - 4*a*b^2*c^6*d^6*e^3*f - 14*a*b^3*c^5*d^5*e^4*f - 38*a*b^4*c^4*d^4*e^5*f + 54*a*b^5*c^3*d^3*e^6*f - 10*a*b^6*c^2*d^2*e^7*f + 56*a^2*b*c^6*d^5*e^4*f + 34*a^2*b^5*c^2*d*e^8*f + 40*a^3*b*c^5*d^3*e^6*f - 74*a^3*b^3*c^3*d*e^8*f - 20*a*b^2*c^6*d^7*e^2*g + 10*a*b^3*c^5*d^6*e^3*g + 34*a*b^4*c^4*d^5*e^4*g - 33*a*b^5*c^3*d^4*e^5*g + 4*a*b^6*c^2*d^3*e^6*g + 8*a^2*b*c^6*d^6*e^3*g - 16*a^3*b*c^5*d^4*e^5*g - 10*a^3*b^4*c^2*d*e^8*g - 40*a^4*b*c^4*d^2*e^7*g + 20*a^4*b^2*c^3*d*e^8*g + 10*a*b^3*c^5*d^7*e^2*h - 26*a*b^4*c^4*d^6*e^3*h + 12*a*b^5*c^3*d^5*e^4*h - 8*a^2*b*c^6*d^7*e^2*h - 4*a^2*b^6*c*d^2*e^7*h - 8*a^3*b*c^5*d^5*e^4*h + 8*a^4*b*c^4*d^3*e^6*h - 10*a^4*b^3*c^2*d*e^8*h - 4*a*b^7*c*d*e^8*f + 4*a*b*c^7*d^8*e*g + 112*a^2*b^2*c^5*d^4*e^5*f - 130*a^2*b^3*c^4*d^3*e^6*f - 28*a^2*b^4*c^3*d^2*e^7*f + 164*a^3*b^2*c^4*d^2*e^7*f - 100*a^2*b^2*c^5*d^5*e^4*g + 72*a^2*b^3*c^4*d^4*e^5*g + 12*a^2*b^4*c^3*d^3*e^6*g - 7*a^2*b^5*c^2*d^2*e^7*g - 60*a^3*b^2*c^4*d^3*e^6*g + 22*a^3*b^3*c^3*d^2*e^7*g + 44*a^2*b^2*c^5*d^6*e^3*h - 14*a^2*b^3*c^4*d^5*e^4*h - 12*a^2*b^5*c^2*d^3*e^6*h + 14*a^3*b^3*c^3*d^3*e^6*h + 26*a^3*b^4*c^2*d^2*e^7*h - 44*a^4*b^2*c^3*d^2*e^7*h + 24*a*b*c^7*d^7*e^2*f + 8*a^4*b*c^4*d*e^8*f + a*b^7*c*d^2*e^7*g + a^2*b^6*c*d*e^8*g + 2*a*b^2*c^6*d^8*e*h + 2*a*b^7*c*d^3*e^6*h + 2*a^3*b^5*c*d*e^8*h + 8*a^5*b*c^3*d*e^8*h)/(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5) + root(3840*a^6*b*c^5*d^5*e^7*z^3 + 3840*a^5*b*c^6*d^7*e^5*z^3 + 1920*a^7*b*c^4*d^3*e^9*z^3 + 1920*a^4*b*c^7*d^9*e^3*z^3 - 288*a^7*b^3*c^2*d*e^11*z^3 - 288*a^2*b^3*c^7*d^11*e*z^3 + 210*a^4*b^7*c*d^3*e^9*z^3 + 210*a*b^7*c^4*d^9*e^3*z^3 - 174*a^5*b^6*c*d^2*e^10*z^3 - 174*a*b^6*c^5*d^10*e^2*z^3 - 120*a^3*b^8*c*d^4*e^8*z^3 - 120*a*b^8*c^3*d^8*e^4*z^3 + 12*a^2*b^9*c*d^5*e^7*z^3 + 12*a*b^9*c^2*d^7*e^5*z^3 + 384*a^8*b*c^3*d*e^11*z^3 + 384*a^3*b*c^8*d^11*e*z^3 + 72*a^6*b^5*c*d*e^11*z^3 + 72*a*b^5*c^6*d^11*e*z^3 + 18*a*b^10*c*d^6*e^6*z^3 - 4800*a^5*b^2*c^5*d^6*e^6*z^3 - 3120*a^6*b^2*c^4*d^4*e^8*z^3 - 3120*a^4*b^2*c^6*d^8*e^4*z^3 + 2160*a^4*b^4*c^4*d^6*e^6*z^3 - 1776*a^4*b^5*c^3*d^5*e^7*z^3 - 1776*a^3*b^5*c^4*d^7*e^5*z^3 + 1740*a^5*b^4*c^3*d^4*e^8*z^3 + 1740*a^3*b^4*c^5*d^8*e^4*z^3 + 960*a^5*b^3*c^4*d^5*e^7*z^3 + 960*a^4*b^3*c^5*d^7*e^5*z^3 - 672*a^7*b^2*c^3*d^2*e^10*z^3 - 672*a^3*b^2*c^7*d^10*e^2*z^3 + 648*a^6*b^4*c^2*d^2*e^10*z^3 + 648*a^2*b^4*c^6*d^10*e^2*z^3 - 600*a^5*b^5*c^2*d^3*e^9*z^3 - 600*a^2*b^5*c^5*d^9*e^3*z^3 + 372*a^3*b^7*c^2*d^5*e^7*z^3 + 372*a^2*b^7*c^3*d^7*e^5*z^3 + 316*a^3*b^6*c^3*d^6*e^6*z^3 - 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64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5) + (x*(2*a^4*b^6*c*e^11 - 96*a^7*c^4*e^11 + 32*a^2*c^9*d^10*e + 2*b^4*c^7*d^10*e + 2*b^10*c*d^4*e^7 - 22*a^5*b^4*c^2*e^11 + 80*a^6*b^2*c^3*e^11 + 32*a^3*c^8*d^8*e^3 - 192*a^4*c^7*d^6*e^5 - 448*a^5*c^6*d^4*e^7 - 352*a^6*c^5*d^2*e^9 - 10*b^5*c^6*d^9*e^2 + 22*b^6*c^5*d^8*e^3 - 28*b^7*c^4*d^7*e^4 + 22*b^8*c^3*d^6*e^5 - 10*b^9*c^2*d^5*e^6 + 336*a^2*b^2*c^7*d^8*e^3 - 384*a^2*b^3*c^6*d^7*e^4 + 180*a^2*b^4*c^5*d^6*e^5 + 132*a^2*b^5*c^4*d^5*e^6 - 200*a^2*b^6*c^3*d^4*e^7 + 52*a^2*b^7*c^2*d^3*e^8 + 416*a^3*b^2*c^6*d^6*e^5 - 800*a^3*b^3*c^5*d^5*e^6 + 580*a^3*b^4*c^4*d^4*e^7 + 24*a^3*b^5*c^3*d^3*e^8 - 116*a^3*b^6*c^2*d^2*e^9 - 160*a^4*b^2*c^5*d^4*e^7 - 640*a^4*b^3*c^4*d^3*e^8 + 330*a^4*b^4*c^3*d^2*e^9 - 144*a^5*b^2*c^4*d^2*e^9 - 16*a*b^2*c^8*d^10*e - 8*a*b^9*c*d^3*e^8 - 8*a^3*b^7*c*d*e^10 + 352*a^6*b*c^4*d*e^10 + 80*a*b^3*c^7*d^9*e^2 - 174*a*b^4*c^6*d^8*e^3 + 216*a*b^5*c^5*d^7*e^4 - 156*a*b^6*c^4*d^6*e^5 + 48*a*b^7*c^3*d^5*e^6 + 10*a*b^8*c^2*d^4*e^7 - 160*a^2*b*c^8*d^9*e^2 + 12*a^2*b^8*c*d^2*e^9 - 128*a^3*b*c^7*d^7*e^4 + 576*a^4*b*c^6*d^5*e^6 + 86*a^4*b^5*c^2*d*e^10 + 896*a^5*b*c^5*d^3*e^8 - 304*a^5*b^3*c^3*d*e^10))/(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)) - (x*(48*a^5*c^4*e^9*g - 72*a^4*b*c^4*e^9*f + 16*a*c^8*d^7*e^2*f + 144*a^4*c^5*d*e^8*f - 8*a^5*b*c^3*e^9*h - 80*a^5*c^4*d*e^8*h - 4*a^2*b^5*c^2*e^9*f + 34*a^3*b^3*c^3*e^9*f + 2*a^3*b^4*c^2*e^9*g - 20*a^4*b^2*c^3*e^9*g + 176*a^2*c^7*d^5*e^4*f + 304*a^3*c^6*d^3*e^6*f + 2*a^4*b^3*c^2*e^9*h - 80*a^2*c^7*d^6*e^3*g - 112*a^3*c^6*d^4*e^5*g + 16*a^4*c^5*d^2*e^7*g - 4*b^2*c^7*d^7*e^2*f + 14*b^3*c^6*d^6*e^3*f - 10*b^4*c^5*d^5*e^4*f - 10*b^5*c^4*d^4*e^5*f + 14*b^6*c^3*d^3*e^6*f - 4*b^7*c^2*d^2*e^7*f + 48*a^2*c^7*d^7*e^2*h + 16*a^3*c^6*d^5*e^4*h - 112*a^4*c^5*d^3*e^6*h + 2*b^3*c^6*d^7*e^2*g - 12*b^4*c^5*d^6*e^3*g + 20*b^5*c^4*d^5*e^4*g - 12*b^6*c^3*d^4*e^5*g + 2*b^7*c^2*d^3*e^6*g + 2*b^4*c^5*d^7*e^2*h - 2*b^5*c^4*d^6*e^3*h - 2*b^6*c^3*d^5*e^4*h + 2*b^7*c^2*d^4*e^5*h - 4*a*b^2*c^6*d^5*e^4*f + 150*a*b^3*c^5*d^4*e^5*f - 128*a*b^4*c^4*d^3*e^6*f + 14*a*b^5*c^3*d^2*e^7*f - 440*a^2*b*c^6*d^4*e^5*f - 62*a^2*b^4*c^3*d*e^8*f - 456*a^3*b*c^5*d^2*e^7*f + 84*a^3*b^2*c^4*d*e^8*f + 68*a*b^2*c^6*d^6*e^3*g - 118*a*b^3*c^5*d^5*e^4*g + 54*a*b^4*c^4*d^4*e^5*g + 6*a*b^5*c^3*d^3*e^6*g - 2*a*b^6*c^2*d^2*e^7*g + 152*a^2*b*c^6*d^5*e^4*g - 2*a^2*b^5*c^2*d*e^8*g + 72*a^3*b*c^5*d^3*e^6*g + 30*a^3*b^3*c^3*d*e^8*g - 20*a*b^2*c^6*d^7*e^2*h + 30*a*b^3*c^5*d^6*e^3*h - 4*a*b^4*c^4*d^5*e^4*h + 6*a*b^5*c^3*d^4*e^5*h - 12*a*b^6*c^2*d^3*e^6*h - 88*a^2*b*c^6*d^6*e^3*h + 72*a^3*b*c^5*d^4*e^5*h - 12*a^3*b^4*c^2*d*e^8*h + 152*a^4*b*c^4*d^2*e^7*h + 68*a^4*b^2*c^3*d*e^8*h + 212*a^2*b^2*c^5*d^3*e^6*f + 122*a^2*b^3*c^4*d^2*e^7*f + 4*a^2*b^2*c^5*d^4*e^5*g - 74*a^2*b^3*c^4*d^3*e^6*g - 4*a^2*b^4*c^3*d^2*e^7*g + 44*a^3*b^2*c^4*d^2*e^7*g + 44*a^2*b^2*c^5*d^5*e^4*h - 74*a^2*b^3*c^4*d^4*e^5*h + 54*a^2*b^4*c^3*d^3*e^6*h + 20*a^2*b^5*c^2*d^2*e^7*h + 4*a^3*b^2*c^4*d^3*e^6*h - 118*a^3*b^3*c^3*d^2*e^7*h - 56*a*b*c^7*d^6*e^3*f + 8*a*b^6*c^2*d*e^8*f - 8*a*b*c^7*d^7*e^2*g - 88*a^4*b*c^4*d*e^8*g))/(16*a^2*c^6*d^8 + a^4*b^4*e^8 + 16*a^6*c^2*e^8 + b^4*c^4*d^8 + b^8*d^4*e^4 - 8*a*b^2*c^5*d^8 - 8*a^5*b^2*c*e^8 - 4*a*b^7*d^3*e^5 - 4*a^3*b^5*d*e^7 - 4*b^5*c^3*d^7*e - 4*b^7*c*d^5*e^3 + 6*a^2*b^6*d^2*e^6 + 64*a^3*c^5*d^6*e^2 + 96*a^4*c^4*d^4*e^4 + 64*a^5*c^3*d^2*e^6 + 6*b^6*c^2*d^6*e^2 + 64*a^2*b^2*c^4*d^6*e^2 + 32*a^2*b^3*c^3*d^5*e^3 - 74*a^2*b^4*c^2*d^4*e^4 + 144*a^3*b^2*c^3*d^4*e^4 + 32*a^3*b^3*c^2*d^3*e^5 + 64*a^4*b^2*c^2*d^2*e^6 + 32*a*b^3*c^4*d^7*e + 4*a*b^6*c*d^4*e^4 - 64*a^2*b*c^5*d^7*e + 32*a^4*b^3*c*d*e^7 - 64*a^5*b*c^2*d*e^7 - 44*a*b^4*c^3*d^6*e^2 + 20*a*b^5*c^2*d^5*e^3 + 20*a^2*b^5*c*d^3*e^5 - 192*a^3*b*c^4*d^5*e^3 - 44*a^3*b^4*c*d^2*e^6 - 192*a^4*b*c^3*d^3*e^5)) - (32*a^2*c^5*d^3*e^4*g^2 - 4*c^7*d^5*e^2*f^2 - a^2*b^3*c^2*e^7*g^2 - 4*b^5*c^2*e^7*f^2 - 4*b^2*c^5*d^3*e^4*f^2 - 4*b^3*c^4*d^2*e^5*f^2 + 12*a^2*c^5*d^5*e^2*h^2 - 40*a^3*c^4*d^3*e^4*h^2 - b^2*c^5*d^5*e^2*g^2 + 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228*a^4*b*c^3*e^8*f*g*z - 48*a^2*b^5*c*e^8*f*g*z - 8*a*b*c^6*d^7*e*g^2*z + 36*a^3*b^4*c*d^2*e^6*h^2*z + 36*a*b^4*c^3*d^6*e^2*h^2*z + 12*a^2*b^5*c*d^3*e^5*h^2*z + 12*a*b^5*c^2*d^5*e^3*h^2*z - 312*a^3*b*c^4*d^3*e^5*g^2*z + 104*a*b^4*c^3*d^4*e^4*g^2*z - 102*a^3*b^3*c^2*d*e^7*g^2*z - 66*a*b^5*c^2*d^3*e^5*g^2*z + 24*a^2*b*c^5*d^5*e^3*g^2*z + 24*a*b^2*c^5*d^6*e^2*g^2*z - 18*a*b^3*c^4*d^5*e^3*g^2*z + 744*a^2*b^3*c^3*d*e^7*f^2*z + 240*a^2*b*c^5*d^3*e^5*f^2*z + 216*a*b^4*c^3*d^2*e^6*f^2*z - 120*a*b^2*c^5*d^4*e^4*f^2*z + 24*a^5*c^3*e^8*f*h*z + 16*b^7*c*d*e^7*f^2*z + 16*b*c^7*d^7*e*f^2*z - 2*a*b^7*d*e^7*g^2*z + 48*a*b^6*c*e^8*f^2*z - 4*b^6*c^2*d^6*e^2*h^2*z - 536*a^4*c^4*d^4*e^4*h^2*z + 240*a^5*c^3*d^2*e^6*h^2*z + 240*a^3*c^5*d^6*e^2*h^2*z - 12*b^6*c^2*d^4*e^4*g^2*z - 12*b^4*c^4*d^6*e^2*g^2*z + 10*b^5*c^3*d^5*e^3*g^2*z + 528*a^3*c^5*d^4*e^4*g^2*z - 432*a^4*c^4*d^2*e^6*g^2*z + 20*b^4*c^4*d^4*e^4*f^2*z - 16*b^6*c^2*d^2*e^6*f^2*z - 16*b^2*c^6*d^6*e^2*f^2*z - 16*a^2*c^6*d^6*e^2*g^2*z - 8*b^5*c^3*d^3*e^5*f^2*z - 8*b^3*c^5*d^5*e^3*f^2*z - 4*a^2*b^6*d^2*e^6*h^2*z + 912*a^3*c^5*d^2*e^6*f^2*z - 120*a^2*c^6*d^4*e^4*f^2*z - 45*a^4*b^2*c^2*e^8*g^2*z + 264*a^3*b^2*c^3*e^8*f^2*z - 192*a^2*b^4*c^2*e^8*f^2*z + 4*b^8*d*e^7*f*g*z - 8*a*c^7*d^8*f*h*z + 4*b*c^7*d^8*f*g*z + 4*a*b^7*e^8*f*g*z + 6*b^7*c*d^3*e^5*g^2*z + 6*b^3*c^5*d^7*e*g^2*z - 48*a*c^7*d^6*e^2*f^2*z + 12*a^3*b^4*c*e^8*g^2*z - b^8*d^2*e^6*g^2*z - 4*a^6*c^2*e^8*h^2*z + 48*a^5*c^3*e^8*g^2*z - 4*a^2*c^6*d^8*h^2*z - b^2*c^6*d^8*g^2*z - 36*a^4*c^4*e^8*f^2*z - a^2*b^6*e^8*g^2*z - 4*c^8*d^8*f^2*z - 4*b^8*e^8*f^2*z - 80*a*b*c^4*d^3*e^3*f*g*h + 24*a^2*b*c^3*d*e^5*f*g*h + 16*a*b^3*c^2*d*e^5*f*g*h - 72*a*b^2*c^3*d^2*e^4*f*g*h - 48*a^2*b*c^3*d^3*e^3*g*h^2 + 16*a*b^3*c^2*d^3*e^3*g*h^2 - 12*a*b^2*c^3*d^3*e^3*g^2*h - 6*a^2*b^2*c^2*d*e^5*g^2*h - 72*a^2*b^2*c^2*d*e^5*f*h^2 + 48*a*b^2*c^3*d^3*e^3*f*h^2 + 24*a^2*b*c^3*d^2*e^4*f*h^2 - 8*a*b^3*c^2*d^2*e^4*f*h^2 - 8*b^5*c*d*e^5*f*g*h - 8*b*c^5*d^5*e*f*g*h - 8*a*b^4*c*e^6*f*g*h + 24*b^3*c^3*d^3*e^3*f*g*h + 16*b^4*c^2*d^2*e^4*f*g*h + 16*b^2*c^4*d^4*e^2*f*g*h + 48*a^2*c^4*d^2*e^4*f*g*h + 48*a^2*b^2*c^2*e^6*f*g*h + 40*a^3*b*c^2*d*e^5*g*h^2 + 28*a*b*c^4*d^4*e^2*g^2*h - 8*a^2*b^3*c*d*e^5*g*h^2 - 8*a*b^4*c*d^2*e^4*g*h^2 + 96*a*b^2*c^3*d*e^5*f^2*h + 24*a*b*c^4*d^2*e^4*f^2*h + 16*a*b*c^4*d^4*e^2*f*h^2 + 96*a*b*c^4*d^2*e^4*f*g^2 - 48*a*b^2*c^3*d*e^5*f*g^2 + 12*a^2*b^2*c^2*d^2*e^4*g*h^2 - 56*a*c^5*d^4*e^2*f*g*h - 8*a*b*c^4*d^5*e*g*h^2 + 4*a*b^4*c*d*e^5*g^2*h + 16*a*b^4*c*d*e^5*f*h^2 - 48*a*b*c^4*d*e^5*f^2*g - 24*a^3*c^3*e^6*f*g*h + 16*a*c^5*d^5*e*f*h^2 - 6*b^4*c^2*d^3*e^3*g^2*h - 6*b^3*c^3*d^4*e^2*g^2*h + 4*b^4*c^2*d^4*e^2*g*h^2 + 80*a^2*c^4*d^3*e^3*g^2*h - 44*a^2*c^4*d^4*e^2*g*h^2 + 24*a^3*c^3*d^2*e^4*g*h^2 - 16*b^3*c^3*d^2*e^4*f^2*h - 16*b^2*c^4*d^3*e^3*f^2*h - 8*b^4*c^2*d^3*e^3*f*h^2 - 8*b^3*c^3*d^4*e^2*f*h^2 + 60*b^2*c^4*d^2*e^4*f^2*g - 48*a^2*c^4*d^3*e^3*f*h^2 - 24*b^3*c^3*d^2*e^4*f*g^2 - 24*b^2*c^4*d^3*e^3*f*g^2 - 24*a^3*b*c^2*d^2*e^4*h^3 + 24*a^2*b*c^3*d^4*e^2*h^3 + 8*a^2*b^3*c*d^2*e^4*h^3 - 8*a*b^3*c^2*d^4*e^2*h^3 + 18*a*b^2*c^3*d^2*e^4*g^3 + 2*b^5*c*d^2*e^4*g^2*h + 2*b^2*c^4*d^5*e*g^2*h - 48*a^3*c^3*d*e^5*g^2*h - 8*b^4*c^2*d*e^5*f^2*h - 8*b*c^5*d^4*e^2*f^2*h - 168*a^2*c^4*d*e^5*f^2*h + 96*a*c^5*d^3*e^3*f^2*h + 64*a^3*c^3*d*e^5*f*h^2 + 12*b^4*c^2*d*e^5*f*g^2 + 12*b*c^5*d^4*e^2*f*g^2 - 168*a*c^5*d^2*e^4*f^2*g + 48*a^2*c^4*d*e^5*f*g^2 + 48*a*c^5*d^3*e^3*f*g^2 - 12*a^3*b*c^2*e^6*g^2*h + 2*a^2*b^3*c*e^6*g^2*h + 48*a^2*b*c^3*e^6*f^2*h - 48*a*b^3*c^2*e^6*f^2*h - 8*a^3*b*c^2*e^6*f*h^2 - 60*a^2*b*c^3*e^6*f*g^2 + 48*a*b^2*c^3*e^6*f^2*g + 12*a*b^3*c^2*e^6*f*g^2 + 24*a^2*b*c^3*d*e^5*g^3 - 24*a*b*c^4*d^3*e^3*g^3 - 6*a*b^3*c^2*d*e^5*g^3 - 12*c^6*d^4*e^2*f^2*g + 4*a^4*c^2*e^6*g*h^2 - 12*b^4*c^2*e^6*f^2*g + 36*a^2*c^4*e^6*f^2*g - 8*a^4*c^2*d*e^5*h^3 + 8*a^2*c^4*d^5*e*h^3 - 24*b^2*c^4*d*e^5*f^3 - 24*b*c^5*d^2*e^4*f^3 + 8*c^6*d^5*e*f^2*h + 8*b^5*c*e^6*f^2*h + 144*a*c^5*d*e^5*f^3 - 72*a*b*c^4*e^6*f^3 + 10*b^3*c^3*d^3*e^3*g^3 - 3*b^4*c^2*d^2*e^4*g^3 - 3*b^2*c^4*d^4*e^2*g^3 - 48*a^2*c^4*d^2*e^4*g^3 - 3*a^2*b^2*c^2*e^6*g^3 + 16*c^6*d^3*e^3*f^3 + 16*b^3*c^3*e^6*f^3 + 16*a^3*c^3*e^6*g^3, z, k), k, 1, 3)","B"
160,1,55,62,0.040738,"\text{Not used}","int((x^3*(x + x^2 + 1))/(x^2 - x + 1)^2,x)","3\,x+2\,\ln\left(x^2-x+1\right)-\frac{\frac{2\,x}{3}-\frac{4}{3}}{x^2-x+1}-\frac{10\,\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3}-\frac{\sqrt{3}}{3}\right)}{9}+\frac{x^2}{2}","Not used",1,"3*x + 2*log(x^2 - x + 1) - ((2*x)/3 - 4/3)/(x^2 - x + 1) - (10*3^(1/2)*atan((2*3^(1/2)*x)/3 - 3^(1/2)/3))/9 + x^2/2","B"
161,1,48,55,0.043307,"\text{Not used}","int((x^2*(x + x^2 + 1))/(x^2 - x + 1)^2,x)","x+\frac{3\,\ln\left(x^2-x+1\right)}{2}-\frac{\frac{4\,x}{3}-\frac{2}{3}}{x^2-x+1}+\frac{7\,\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3}-\frac{\sqrt{3}}{3}\right)}{9}","Not used",1,"x + (3*log(x^2 - x + 1))/2 - ((4*x)/3 - 2/3)/(x^2 - x + 1) + (7*3^(1/2)*atan((2*3^(1/2)*x)/3 - 3^(1/2)/3))/9","B"
162,1,59,52,3.837826,"\text{Not used}","int((x*(x + x^2 + 1))/(x^2 - x + 1)^2,x)","\frac{\ln\left(x^2-x+1\right)}{2}-\frac{2\,x}{3\,\left(x^2-x+1\right)}-\frac{2}{3\,\left(x^2-x+1\right)}+\frac{11\,\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3}-\frac{\sqrt{3}}{3}\right)}{9}","Not used",1,"log(x^2 - x + 1)/2 - (2*x)/(3*(x^2 - x + 1)) - 2/(3*(x^2 - x + 1)) + (11*3^(1/2)*atan((2*3^(1/2)*x)/3 - 3^(1/2)/3))/9","B"
163,1,35,41,3.833079,"\text{Not used}","int((x + x^2 + 1)/(x^2 - x + 1)^2,x)","\frac{\frac{2\,x}{3}-\frac{4}{3}}{x^2-x+1}+\frac{10\,\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3}-\frac{\sqrt{3}}{3}\right)}{9}","Not used",1,"((2*x)/3 - 4/3)/(x^2 - x + 1) + (10*3^(1/2)*atan((2*3^(1/2)*x)/3 - 3^(1/2)/3))/9","B"
164,1,58,56,0.099758,"\text{Not used}","int((x + x^2 + 1)/(x*(x^2 - x + 1)^2),x)","\ln\left(x\right)+\frac{\frac{4\,x}{3}-\frac{2}{3}}{x^2-x+1}-\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,11{}\mathrm{i}}{18}\right)+\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,11{}\mathrm{i}}{18}\right)","Not used",1,"log(x) + ((4*x)/3 - 2/3)/(x^2 - x + 1) - log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*11i)/18 + 1/2) + log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*11i)/18 - 1/2)","B"
165,1,68,61,4.132487,"\text{Not used}","int((x + x^2 + 1)/(x^2*(x^2 - x + 1)^2),x)","3\,\ln\left(x\right)-\frac{\frac{x^2}{3}-\frac{5\,x}{3}+1}{x^3-x^2+x}-\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{3}{2}+\frac{\sqrt{3}\,7{}\mathrm{i}}{18}\right)+\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{3}{2}+\frac{\sqrt{3}\,7{}\mathrm{i}}{18}\right)","Not used",1,"3*log(x) - (x^2/3 - (5*x)/3 + 1)/(x - x^2 + x^3) - log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*7i)/18 + 3/2) + log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*7i)/18 - 3/2)","B"
166,1,75,68,0.097669,"\text{Not used}","int((x + x^2 + 1)/(x^3*(x^2 - x + 1)^2),x)","4\,\ln\left(x\right)+\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-2+\frac{\sqrt{3}\,5{}\mathrm{i}}{9}\right)-\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(2+\frac{\sqrt{3}\,5{}\mathrm{i}}{9}\right)-\frac{\frac{11\,x^3}{3}-\frac{23\,x^2}{6}+\frac{5\,x}{2}+\frac{1}{2}}{x^4-x^3+x^2}","Not used",1,"4*log(x) + log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*5i)/9 - 2) - log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*5i)/9 + 2) - ((5*x)/2 - (23*x^2)/6 + (11*x^3)/3 + 1/2)/(x^2 - x^3 + x^4)","B"
167,1,10,10,0.045137,"\text{Not used}","int(-(x^2 - 1)/(x + x^2 + 1)^2,x)","\frac{x}{x^2+x+1}","Not used",1,"x/(x + x^2 + 1)","B"
168,1,29,31,0.031762,"\text{Not used}","int((x^2 + 1)/(x + x^2 + 1),x)","x-\frac{\ln\left(x^2+x+1\right)}{2}+\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3}+\frac{\sqrt{3}}{3}\right)}{3}","Not used",1,"x - log(x + x^2 + 1)/2 + (3^(1/2)*atan((2*3^(1/2)*x)/3 + 3^(1/2)/3))/3","B"
169,1,21,23,0.042040,"\text{Not used}","int((x^2 - 1)/(x^2 - 6*x + 25),x)","x+3\,\ln\left(x^2-6\,x+25\right)-2\,\mathrm{atan}\left(\frac{x}{4}-\frac{3}{4}\right)","Not used",1,"x + 3*log(x^2 - 6*x + 25) - 2*atan(x/4 - 3/4)","B"
170,1,17,21,0.041527,"\text{Not used}","int((3*x^2 - 10)/(x^2 - 4*x + 4),x)","3\,x+12\,\ln\left(x-2\right)-\frac{2}{x-2}","Not used",1,"3*x + 12*log(x - 2) - 2/(x - 2)","B"
171,1,14,18,3.922058,"\text{Not used}","int((x^2 + 8)/(x^2 - 5*x + 6),x)","x-12\,\ln\left(x-2\right)+17\,\ln\left(x-3\right)","Not used",1,"x - 12*log(x - 2) + 17*log(x - 3)","B"
172,1,12,14,3.850669,"\text{Not used}","int(-(3*x + x^2 - 4)/(2*x - x^2 + 8),x)","x+\ln\left(x+2\right)+4\,\ln\left(x-4\right)","Not used",1,"x + log(x + 2) + 4*log(x - 4)","B"
173,1,17,27,3.800359,"\text{Not used}","int((5*x + 4*x^2 + 7)/(4*x + 4*x^2 + 5),x)","x+\frac{\ln\left(x^2+x+\frac{5}{4}\right)}{8}+\frac{3\,\mathrm{atan}\left(x+\frac{1}{2}\right)}{8}","Not used",1,"x + log(x + x^2 + 5/4)/8 + (3*atan(x + 1/2))/8","B"
174,1,35,48,0.110860,"\text{Not used}","int((x^2 - x + 2)/(2*x + x^2 - 5),x)","x-\ln\left(x+\sqrt{6}+1\right)\,\left(\frac{5\,\sqrt{6}}{6}+\frac{3}{2}\right)+\ln\left(x-\sqrt{6}+1\right)\,\left(\frac{5\,\sqrt{6}}{6}-\frac{3}{2}\right)","Not used",1,"x - log(x + 6^(1/2) + 1)*((5*6^(1/2))/6 + 3/2) + log(x - 6^(1/2) + 1)*((5*6^(1/2))/6 - 3/2)","B"
175,1,17,21,3.841157,"\text{Not used}","int((4*x + 3*x^2 + 1)/(7*x + 2*x^2 + 4)^2,x)","-\frac{\frac{3\,x}{4}+\frac{1}{2}}{x^2+\frac{7\,x}{2}+2}","Not used",1,"-((3*x)/4 + 1/2)/((7*x)/2 + x^2 + 2)","B"
176,1,36,39,3.835414,"\text{Not used}","int((x + x^2 + 1)/(2*x + x^2 + 3)^2,x)","\frac{3\,\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,x}{2}+\frac{\sqrt{2}}{2}\right)}{8}-\frac{\frac{x}{4}-\frac{1}{4}}{x^2+2\,x+3}","Not used",1,"(3*2^(1/2)*atan((2^(1/2)*x)/2 + 2^(1/2)/2))/8 - (x/4 - 1/4)/(2*x + x^2 + 3)","B"
177,1,11,11,3.799625,"\text{Not used}","int((2*x + 5*x^2 - 1)/(x + x^2 + 1)^4,x)","-\frac{x}{{\left(x^2+x+1\right)}^3}","Not used",1,"-x/(x + x^2 + 1)^3","B"
178,0,-1,267,0.000000,"\text{Not used}","int((A + C*x^2)*(a + b*x + c*x^2)^(5/2),x)","\int \left(C\,x^2+A\right)\,{\left(c\,x^2+b\,x+a\right)}^{5/2} \,d x","Not used",1,"int((A + C*x^2)*(a + b*x + c*x^2)^(5/2), x)","F"
179,0,-1,212,0.000000,"\text{Not used}","int((A + C*x^2)*(a + b*x + c*x^2)^(3/2),x)","\int \left(C\,x^2+A\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2} \,d x","Not used",1,"int((A + C*x^2)*(a + b*x + c*x^2)^(3/2), x)","F"
180,1,240,157,4.261570,"\text{Not used}","int((A + C*x^2)*(a + b*x + c*x^2)^(1/2),x)","A\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}-\frac{C\,a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}+\frac{A\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}-\frac{5\,C\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}+\frac{C\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}","Not used",1,"A*(x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) - (C*a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) + (A*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2)) - (5*C*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) + (C*x*(a + b*x + c*x^2)^(3/2))/(4*c)","B"
181,0,-1,104,0.000000,"\text{Not used}","int((A + C*x^2)/(a + b*x + c*x^2)^(1/2),x)","\int \frac{C\,x^2+A}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + C*x^2)/(a + b*x + c*x^2)^(1/2), x)","F"
182,1,108,98,4.210322,"\text{Not used}","int((A + C*x^2)/(a + b*x + c*x^2)^(3/2),x)","\frac{C\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{c^{3/2}}+\frac{A\,\left(\frac{b}{2}+c\,x\right)}{\left(a\,c-\frac{b^2}{4}\right)\,\sqrt{c\,x^2+b\,x+a}}+\frac{C\,\left(\frac{a\,b}{2}-x\,\left(a\,c-\frac{b^2}{2}\right)\right)}{c\,\left(a\,c-\frac{b^2}{4}\right)\,\sqrt{c\,x^2+b\,x+a}}","Not used",1,"(C*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/c^(3/2) + (A*(b/2 + c*x))/((a*c - b^2/4)*(a + b*x + c*x^2)^(1/2)) + (C*((a*b)/2 - x*(a*c - b^2/2)))/(c*(a*c - b^2/4)*(a + b*x + c*x^2)^(1/2))","B"
183,1,127,114,4.142030,"\text{Not used}","int((A + C*x^2)/(a + b*x + c*x^2)^(5/2),x)","\frac{2\,\left(8\,C\,a^2\,b+12\,C\,a\,b^2\,x+12\,C\,a\,b\,c\,x^2+12\,A\,a\,b\,c+8\,C\,a\,c^2\,x^3+24\,A\,a\,c^2\,x+3\,C\,b^3\,x^2-A\,b^3+2\,C\,b^2\,c\,x^3+6\,A\,b^2\,c\,x+24\,A\,b\,c^2\,x^2+16\,A\,c^3\,x^3\right)}{3\,{\left(4\,a\,c-b^2\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"(2*(16*A*c^3*x^3 - A*b^3 + 3*C*b^3*x^2 + 8*C*a^2*b + 24*A*a*c^2*x + 6*A*b^2*c*x + 12*C*a*b^2*x + 24*A*b*c^2*x^2 + 8*C*a*c^2*x^3 + 2*C*b^2*c*x^3 + 12*A*a*b*c + 12*C*a*b*c*x^2))/(3*(4*a*c - b^2)^2*(a + b*x + c*x^2)^(3/2))","B"
184,1,578,167,4.525212,"\text{Not used}","int((A + C*x^2)/(a + b*x + c*x^2)^(7/2),x)","\frac{\frac{b\,c\,\left(56\,C\,b^2+256\,A\,c^2+32\,C\,a\,c\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}+\frac{2\,c^2\,x\,\left(56\,C\,b^2+256\,A\,c^2+32\,C\,a\,c\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}}{\sqrt{c\,x^2+b\,x+a}}+\frac{\frac{8\,C\,b\,c}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,C\,c^2\,x}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{\sqrt{c\,x^2+b\,x+a}}-\frac{\frac{4\,C\,x}{15\,\left(4\,a\,c-b^2\right)}-\frac{2\,C\,b}{15\,c\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}+\frac{x\,\left(\frac{4\,A\,c^2}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{2\,C\,b^2}{5\,\left(4\,a\,c^2-b^2\,c\right)}-\frac{4\,C\,a\,c}{5\,\left(4\,a\,c^2-b^2\,c\right)}\right)+\frac{2\,A\,b\,c}{5\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{2\,C\,a\,b}{5\,\left(4\,a\,c^2-b^2\,c\right)}}{{\left(c\,x^2+b\,x+a\right)}^{5/2}}+\frac{x\,\left(\frac{2\,c\,\left(8\,C\,b^2+32\,A\,c^2+8\,C\,a\,c\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,C\,a\,c^2}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,C\,b^2\,c}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)+\frac{b\,\left(8\,C\,b^2+32\,A\,c^2+8\,C\,a\,c\right)}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,C\,a\,b\,c}{15\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}","Not used",1,"((b*c*(256*A*c^2 + 56*C*b^2 + 32*C*a*c))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) + (2*c^2*x*(256*A*c^2 + 56*C*b^2 + 32*C*a*c))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2))/(a + b*x + c*x^2)^(1/2) + ((8*C*b*c)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*C*c^2*x)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(1/2) - ((4*C*x)/(15*(4*a*c - b^2)) - (2*C*b)/(15*c*(4*a*c - b^2)))/(a + b*x + c*x^2)^(3/2) + (x*((4*A*c^2)/(5*(4*a*c^2 - b^2*c)) + (2*C*b^2)/(5*(4*a*c^2 - b^2*c)) - (4*C*a*c)/(5*(4*a*c^2 - b^2*c))) + (2*A*b*c)/(5*(4*a*c^2 - b^2*c)) + (2*C*a*b)/(5*(4*a*c^2 - b^2*c)))/(a + b*x + c*x^2)^(5/2) + (x*((2*c*(32*A*c^2 + 8*C*b^2 + 8*C*a*c))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*C*a*c^2)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*C*b^2*c)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) + (b*(32*A*c^2 + 8*C*b^2 + 8*C*a*c))/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*C*a*b*c)/(15*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(3/2)","B"
185,1,1018,220,5.063444,"\text{Not used}","int((A + C*x^2)/(a + b*x + c*x^2)^(9/2),x)","\frac{x\,\left(\frac{2\,c^2\,\left(160\,C\,b^2+768\,A\,c^2+96\,C\,a\,c\right)}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}-\frac{64\,C\,a\,c^3}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}+\frac{32\,C\,b^2\,c^2}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}\right)+\frac{b\,c\,\left(160\,C\,b^2+768\,A\,c^2+96\,C\,a\,c\right)}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}+\frac{32\,C\,a\,b\,c^2}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}-\frac{\frac{8\,C\,b}{105\,{\left(4\,a\,c-b^2\right)}^2}-\frac{16\,C\,c\,x}{105\,{\left(4\,a\,c-b^2\right)}^2}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}+\frac{\frac{8\,C\,b\,c}{105\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,C\,c^2\,x}{105\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{3/2}}-\frac{\frac{4\,C\,x}{35\,\left(4\,a\,c-b^2\right)}-\frac{2\,C\,b}{35\,c\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{5/2}}+\frac{\frac{b\,c\,\left(1312\,C\,b^2\,c+6144\,A\,c^3+896\,C\,a\,c^2\right)}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^3}+\frac{2\,c^2\,x\,\left(1312\,C\,b^2\,c+6144\,A\,c^3+896\,C\,a\,c^2\right)}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^3}}{\sqrt{c\,x^2+b\,x+a}}+\frac{x\,\left(\frac{4\,A\,c^2}{7\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{2\,C\,b^2}{7\,\left(4\,a\,c^2-b^2\,c\right)}-\frac{4\,C\,a\,c}{7\,\left(4\,a\,c^2-b^2\,c\right)}\right)+\frac{2\,A\,b\,c}{7\,\left(4\,a\,c^2-b^2\,c\right)}+\frac{2\,C\,a\,b}{7\,\left(4\,a\,c^2-b^2\,c\right)}}{{\left(c\,x^2+b\,x+a\right)}^{7/2}}+\frac{x\,\left(\frac{2\,c\,\left(12\,C\,b^2+48\,A\,c^2+8\,C\,a\,c\right)}{35\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}+\frac{16\,C\,a\,c^2}{35\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,C\,b^2\,c}{35\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}\right)+\frac{b\,\left(12\,C\,b^2+48\,A\,c^2+8\,C\,a\,c\right)}{35\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}-\frac{8\,C\,a\,b\,c}{35\,\left(4\,a\,c^2-b^2\,c\right)\,\left(4\,a\,c-b^2\right)}}{{\left(c\,x^2+b\,x+a\right)}^{5/2}}-\frac{\frac{32\,C\,b\,c^2}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}+\frac{64\,C\,c^3\,x}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}}{\sqrt{c\,x^2+b\,x+a}}+\frac{\frac{64\,C\,b\,c^2}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}+\frac{128\,C\,c^3\,x}{105\,\left(4\,a\,c^2-b^2\,c\right)\,{\left(4\,a\,c-b^2\right)}^2}}{\sqrt{c\,x^2+b\,x+a}}","Not used",1,"(x*((2*c^2*(768*A*c^2 + 160*C*b^2 + 96*C*a*c))/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) - (64*C*a*c^3)/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) + (32*C*b^2*c^2)/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2)) + (b*c*(768*A*c^2 + 160*C*b^2 + 96*C*a*c))/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) + (32*C*a*b*c^2)/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2))/(a + b*x + c*x^2)^(3/2) - ((8*C*b)/(105*(4*a*c - b^2)^2) - (16*C*c*x)/(105*(4*a*c - b^2)^2))/(a + b*x + c*x^2)^(3/2) + ((8*C*b*c)/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*C*c^2*x)/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(3/2) - ((4*C*x)/(35*(4*a*c - b^2)) - (2*C*b)/(35*c*(4*a*c - b^2)))/(a + b*x + c*x^2)^(5/2) + ((b*c*(6144*A*c^3 + 896*C*a*c^2 + 1312*C*b^2*c))/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^3) + (2*c^2*x*(6144*A*c^3 + 896*C*a*c^2 + 1312*C*b^2*c))/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^3))/(a + b*x + c*x^2)^(1/2) + (x*((4*A*c^2)/(7*(4*a*c^2 - b^2*c)) + (2*C*b^2)/(7*(4*a*c^2 - b^2*c)) - (4*C*a*c)/(7*(4*a*c^2 - b^2*c))) + (2*A*b*c)/(7*(4*a*c^2 - b^2*c)) + (2*C*a*b)/(7*(4*a*c^2 - b^2*c)))/(a + b*x + c*x^2)^(7/2) + (x*((2*c*(48*A*c^2 + 12*C*b^2 + 8*C*a*c))/(35*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) + (16*C*a*c^2)/(35*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*C*b^2*c)/(35*(4*a*c^2 - b^2*c)*(4*a*c - b^2))) + (b*(48*A*c^2 + 12*C*b^2 + 8*C*a*c))/(35*(4*a*c^2 - b^2*c)*(4*a*c - b^2)) - (8*C*a*b*c)/(35*(4*a*c^2 - b^2*c)*(4*a*c - b^2)))/(a + b*x + c*x^2)^(5/2) - ((32*C*b*c^2)/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) + (64*C*c^3*x)/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2))/(a + b*x + c*x^2)^(1/2) + ((64*C*b*c^2)/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2) + (128*C*c^3*x)/(105*(4*a*c^2 - b^2*c)*(4*a*c - b^2)^2))/(a + b*x + c*x^2)^(1/2)","B"
186,1,3262,930,14.701619,"\text{Not used}","int((g + h*x)^3*(a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2),x)","d\,g^3\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{8\,a^3\,f\,h^3\,\sqrt{c\,x^2+b\,x+a}}{105\,c^3}-\frac{33\,b^6\,f\,h^3\,\sqrt{c\,x^2+b\,x+a}}{1024\,c^6}+\frac{d\,h^3\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}+\frac{e\,h^3\,x^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{6\,c}+\frac{f\,h^3\,x^4\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{7\,c}-\frac{a\,f\,g^3\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}+\frac{d\,g^3\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}+\frac{e\,g^3\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}-\frac{2\,a\,d\,h^3\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}-\frac{5\,b\,f\,g^3\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}+\frac{e\,g^3\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}+\frac{33\,b^7\,f\,h^3\,\ln\left(b+2\,\sqrt{c}\,\sqrt{c\,x^2+b\,x+a}+2\,c\,x\right)}{2048\,c^{13/2}}+\frac{f\,g^3\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,e\,h^3\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{2\,c}+\frac{7\,b\,d\,h^3\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}-\frac{3\,b\,e\,h^3\,\left(\frac{7\,b\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}-\frac{2\,a\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}+\frac{x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}\right)}{4\,c}+\frac{3\,d\,g\,h^2\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{3\,e\,g^2\,h\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{3\,a\,f\,g\,h^2\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{2\,c}+\frac{21\,b\,e\,g\,h^2\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}+\frac{21\,b\,f\,g^2\,h\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}-\frac{9\,b\,f\,g\,h^2\,\left(\frac{7\,b\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}-\frac{2\,a\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}+\frac{x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}\right)}{4\,c}+\frac{35\,a^2\,b^3\,f\,h^3\,\ln\left(b+2\,\sqrt{c}\,\sqrt{c\,x^2+b\,x+a}+2\,c\,x\right)}{128\,c^{9/2}}+\frac{13\,a\,b^4\,f\,h^3\,\sqrt{c\,x^2+b\,x+a}}{64\,c^5}-\frac{4\,a\,f\,h^3\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{35\,c^2}-\frac{11\,b\,f\,h^3\,x^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{84\,c^2}-\frac{33\,b^3\,f\,h^3\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{320\,c^4}+\frac{11\,b^5\,f\,h^3\,x\,\sqrt{c\,x^2+b\,x+a}}{512\,c^5}+\frac{3\,e\,g\,h^2\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}+\frac{3\,f\,g^2\,h\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}+\frac{f\,g\,h^2\,x^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{2\,c}-\frac{3\,a\,d\,g\,h^2\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}-\frac{3\,a\,e\,g^2\,h\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}+\frac{3\,d\,g^2\,h\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}-\frac{103\,a^2\,b^2\,f\,h^3\,\sqrt{c\,x^2+b\,x+a}}{320\,c^4}-\frac{6\,a\,e\,g\,h^2\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}-\frac{15\,b\,d\,g\,h^2\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{6\,a\,f\,g^2\,h\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}-\frac{15\,b\,e\,g^2\,h\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}+\frac{8\,a^2\,f\,h^3\,x^2\,\sqrt{c\,x^2+b\,x+a}}{105\,c^2}+\frac{33\,b^2\,f\,h^3\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{280\,c^3}+\frac{11\,b^4\,f\,h^3\,x^2\,\sqrt{c\,x^2+b\,x+a}}{128\,c^4}+\frac{d\,g^2\,h\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{8\,c^2}-\frac{5\,a^3\,b\,f\,h^3\,\ln\left(b+2\,\sqrt{c}\,\sqrt{c\,x^2+b\,x+a}+2\,c\,x\right)}{32\,c^{7/2}}-\frac{63\,a\,b^5\,f\,h^3\,\ln\left(b+2\,\sqrt{c}\,\sqrt{c\,x^2+b\,x+a}+2\,c\,x\right)}{512\,c^{11/2}}-\frac{39\,a\,b^2\,f\,h^3\,x^2\,\sqrt{c\,x^2+b\,x+a}}{160\,c^3}+\frac{111\,a\,b\,f\,h^3\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{560\,c^3}-\frac{269\,a^2\,b\,f\,h^3\,x\,\sqrt{c\,x^2+b\,x+a}}{3360\,c^3}-\frac{3\,a\,b^3\,f\,h^3\,x\,\sqrt{c\,x^2+b\,x+a}}{320\,c^4}","Not used",1,"d*g^3*(x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (8*a^3*f*h^3*(a + b*x + c*x^2)^(1/2))/(105*c^3) - (33*b^6*f*h^3*(a + b*x + c*x^2)^(1/2))/(1024*c^6) + (d*h^3*x^2*(a + b*x + c*x^2)^(3/2))/(5*c) + (e*h^3*x^3*(a + b*x + c*x^2)^(3/2))/(6*c) + (f*h^3*x^4*(a + b*x + c*x^2)^(3/2))/(7*c) - (a*f*g^3*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) + (d*g^3*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2)) + (e*g^3*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) - (2*a*d*h^3*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) - (5*b*f*g^3*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) + (e*g^3*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2) + (33*b^7*f*h^3*log(b + 2*c^(1/2)*(a + b*x + c*x^2)^(1/2) + 2*c*x))/(2048*c^(13/2)) + (f*g^3*x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*e*h^3*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(2*c) + (7*b*d*h^3*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) - (3*b*e*h^3*((7*b*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) - (2*a*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) + (x^2*(a + b*x + c*x^2)^(3/2))/(5*c)))/(4*c) + (3*d*g*h^2*x*(a + b*x + c*x^2)^(3/2))/(4*c) + (3*e*g^2*h*x*(a + b*x + c*x^2)^(3/2))/(4*c) + (3*a*f*g*h^2*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(2*c) + (21*b*e*g*h^2*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) + (21*b*f*g^2*h*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) - (9*b*f*g*h^2*((7*b*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) - (2*a*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) + (x^2*(a + b*x + c*x^2)^(3/2))/(5*c)))/(4*c) + (35*a^2*b^3*f*h^3*log(b + 2*c^(1/2)*(a + b*x + c*x^2)^(1/2) + 2*c*x))/(128*c^(9/2)) + (13*a*b^4*f*h^3*(a + b*x + c*x^2)^(1/2))/(64*c^5) - (4*a*f*h^3*x^2*(a + b*x + c*x^2)^(3/2))/(35*c^2) - (11*b*f*h^3*x^3*(a + b*x + c*x^2)^(3/2))/(84*c^2) - (33*b^3*f*h^3*x*(a + b*x + c*x^2)^(3/2))/(320*c^4) + (11*b^5*f*h^3*x*(a + b*x + c*x^2)^(1/2))/(512*c^5) + (3*e*g*h^2*x^2*(a + b*x + c*x^2)^(3/2))/(5*c) + (3*f*g^2*h*x^2*(a + b*x + c*x^2)^(3/2))/(5*c) + (f*g*h^2*x^3*(a + b*x + c*x^2)^(3/2))/(2*c) - (3*a*d*g*h^2*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) - (3*a*e*g^2*h*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) + (3*d*g^2*h*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) - (103*a^2*b^2*f*h^3*(a + b*x + c*x^2)^(1/2))/(320*c^4) - (6*a*e*g*h^2*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) - (15*b*d*g*h^2*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (6*a*f*g^2*h*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) - (15*b*e*g^2*h*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) + (8*a^2*f*h^3*x^2*(a + b*x + c*x^2)^(1/2))/(105*c^2) + (33*b^2*f*h^3*x^2*(a + b*x + c*x^2)^(3/2))/(280*c^3) + (11*b^4*f*h^3*x^2*(a + b*x + c*x^2)^(1/2))/(128*c^4) + (d*g^2*h*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(8*c^2) - (5*a^3*b*f*h^3*log(b + 2*c^(1/2)*(a + b*x + c*x^2)^(1/2) + 2*c*x))/(32*c^(7/2)) - (63*a*b^5*f*h^3*log(b + 2*c^(1/2)*(a + b*x + c*x^2)^(1/2) + 2*c*x))/(512*c^(11/2)) - (39*a*b^2*f*h^3*x^2*(a + b*x + c*x^2)^(1/2))/(160*c^3) + (111*a*b*f*h^3*x*(a + b*x + c*x^2)^(3/2))/(560*c^3) - (269*a^2*b*f*h^3*x*(a + b*x + c*x^2)^(1/2))/(3360*c^3) - (3*a*b^3*f*h^3*x*(a + b*x + c*x^2)^(1/2))/(320*c^4)","B"
187,1,1881,584,7.910565,"\text{Not used}","int((g + h*x)^2*(a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2),x)","d\,g^2\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{e\,h^2\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}+\frac{f\,h^2\,x^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{6\,c}-\frac{a\,d\,h^2\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}-\frac{a\,f\,g^2\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}+\frac{d\,g^2\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}+\frac{e\,g^2\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}-\frac{2\,a\,e\,h^2\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}-\frac{5\,b\,d\,h^2\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{5\,b\,f\,g^2\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}+\frac{e\,g^2\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}+\frac{d\,h^2\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{f\,g^2\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,f\,h^2\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{2\,c}+\frac{7\,b\,e\,h^2\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}-\frac{3\,b\,f\,h^2\,\left(\frac{7\,b\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}-\frac{2\,a\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}+\frac{x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}\right)}{4\,c}+\frac{2\,f\,g\,h\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}-\frac{a\,e\,g\,h\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{2\,c}+\frac{d\,g\,h\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{8\,c^{5/2}}-\frac{4\,a\,f\,g\,h\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}-\frac{5\,b\,e\,g\,h\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{4\,c}+\frac{d\,g\,h\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{12\,c^2}+\frac{e\,g\,h\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{2\,c}+\frac{7\,b\,f\,g\,h\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{5\,c}","Not used",1,"d*g^2*(x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (e*h^2*x^2*(a + b*x + c*x^2)^(3/2))/(5*c) + (f*h^2*x^3*(a + b*x + c*x^2)^(3/2))/(6*c) - (a*d*h^2*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) - (a*f*g^2*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) + (d*g^2*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2)) + (e*g^2*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) - (2*a*e*h^2*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) - (5*b*d*h^2*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (5*b*f*g^2*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) + (e*g^2*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2) + (d*h^2*x*(a + b*x + c*x^2)^(3/2))/(4*c) + (f*g^2*x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*f*h^2*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(2*c) + (7*b*e*h^2*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) - (3*b*f*h^2*((7*b*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) - (2*a*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) + (x^2*(a + b*x + c*x^2)^(3/2))/(5*c)))/(4*c) + (2*f*g*h*x^2*(a + b*x + c*x^2)^(3/2))/(5*c) - (a*e*g*h*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(2*c) + (d*g*h*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(8*c^(5/2)) - (4*a*f*g*h*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) - (5*b*e*g*h*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(4*c) + (d*g*h*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(12*c^2) + (e*g*h*x*(a + b*x + c*x^2)^(3/2))/(2*c) + (7*b*f*g*h*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(5*c)","B"
188,1,877,322,5.624385,"\text{Not used}","int((g + h*x)*(a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2),x)","d\,g\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}-\frac{2\,a\,f\,h\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{5\,c}-\frac{5\,b\,e\,h\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{5\,b\,f\,g\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}+\frac{d\,h\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}+\frac{e\,g\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}+\frac{e\,h\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{f\,g\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{7\,b\,f\,h\,\left(\frac{5\,b\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}-\frac{x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}+\frac{a\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}\right)}{10\,c}+\frac{f\,h\,x^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{5\,c}-\frac{a\,e\,h\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}-\frac{a\,f\,g\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}+\frac{d\,g\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}+\frac{d\,h\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{e\,g\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}","Not used",1,"d*g*(x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) - (2*a*f*h*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(5*c) - (5*b*e*h*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (5*b*f*g*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) + (d*h*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2) + (e*g*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2) + (e*h*x*(a + b*x + c*x^2)^(3/2))/(4*c) + (f*g*x*(a + b*x + c*x^2)^(3/2))/(4*c) + (7*b*f*h*((5*b*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) - (x*(a + b*x + c*x^2)^(3/2))/(4*c) + (a*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c)))/(10*c) + (f*h*x^2*(a + b*x + c*x^2)^(3/2))/(5*c) - (a*e*h*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) - (a*f*g*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) + (d*g*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2)) + (d*h*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + (e*g*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2))","B"
189,1,320,175,4.239526,"\text{Not used}","int((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2),x)","d\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}-\frac{a\,f\,\left(\left(\frac{x}{2}+\frac{b}{4\,c}\right)\,\sqrt{c\,x^2+b\,x+a}+\frac{\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}\right)}{4\,c}+\frac{d\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)\,\left(a\,c-\frac{b^2}{4}\right)}{2\,c^{3/2}}+\frac{e\,\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}-\frac{5\,b\,f\,\left(\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+2\,\sqrt{c\,x^2+b\,x+a}\right)\,\left(b^3-4\,a\,b\,c\right)}{16\,c^{5/2}}+\frac{\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}\right)}{8\,c}+\frac{e\,\left(-3\,b^2+2\,c\,x\,b+8\,c\,\left(c\,x^2+a\right)\right)\,\sqrt{c\,x^2+b\,x+a}}{24\,c^2}+\frac{f\,x\,{\left(c\,x^2+b\,x+a\right)}^{3/2}}{4\,c}","Not used",1,"d*(x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) - (a*f*((x/2 + b/(4*c))*(a + b*x + c*x^2)^(1/2) + (log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2))))/(4*c) + (d*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2))*(a*c - b^2/4))/(2*c^(3/2)) + (e*log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) - (5*b*f*((log((b + 2*c*x)/c^(1/2) + 2*(a + b*x + c*x^2)^(1/2))*(b^3 - 4*a*b*c))/(16*c^(5/2)) + ((8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2)))/(8*c) + (e*(8*c*(a + c*x^2) - 3*b^2 + 2*b*c*x)*(a + b*x + c*x^2)^(1/2))/(24*c^2) + (f*x*(a + b*x + c*x^2)^(3/2))/(4*c)","B"
190,0,-1,321,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x),x)","\int \frac{\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right)}{g+h\,x} \,d x","Not used",1,"int(((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x), x)","F"
191,0,-1,459,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^2,x)","\int \frac{\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^2} \,d x","Not used",1,"int(((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^2, x)","F"
192,0,-1,448,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^3,x)","\int \frac{\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^3} \,d x","Not used",1,"int(((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^3, x)","F"
193,0,-1,603,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^4,x)","\int \frac{\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^4} \,d x","Not used",1,"int(((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^4, x)","F"
194,0,-1,497,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^5,x)","\int \frac{\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^5} \,d x","Not used",1,"int(((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^5, x)","F"
195,0,-1,824,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^6,x)","\int \frac{\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^6} \,d x","Not used",1,"int(((a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2))/(g + h*x)^6, x)","F"
196,0,-1,1169,0.000000,"\text{Not used}","int((g + h*x)^3*(a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2),x)","\int {\left(g+h\,x\right)}^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((g + h*x)^3*(a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2), x)","F"
197,0,-1,753,0.000000,"\text{Not used}","int((g + h*x)^2*(a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2),x)","\int {\left(g+h\,x\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((g + h*x)^2*(a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2), x)","F"
198,0,-1,418,0.000000,"\text{Not used}","int((g + h*x)*(a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2),x)","\int \left(g+h\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((g + h*x)*(a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2), x)","F"
199,0,-1,236,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2),x)","\int {\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2), x)","F"
200,0,-1,660,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x),x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{g+h\,x} \,d x","Not used",1,"int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x), x)","F"
201,0,-1,754,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^2,x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^2} \,d x","Not used",1,"int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^2, x)","F"
202,0,-1,824,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^3,x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^3} \,d x","Not used",1,"int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^3, x)","F"
203,0,-1,833,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^4,x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^4} \,d x","Not used",1,"int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^4, x)","F"
204,0,-1,1097,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^5,x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^5} \,d x","Not used",1,"int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^5, x)","F"
205,0,-1,1226,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^6,x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^6} \,d x","Not used",1,"int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^6, x)","F"
206,0,-1,657,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^7,x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^{3/2}\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^7} \,d x","Not used",1,"int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^7, x)","F"
207,-1,-1,1062,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^(3/2)*(d + e*x + f*x^2))/(g + h*x)^8,x)","\text{Hanged}","Not used",1,"\text{Hanged}","F(-1)"
208,1,170,143,5.541462,"\text{Not used}","int((2*x + 1)^3*(3*x^2 - x + 2)^(1/2)*(3*x + 4*x^2 + 1),x)","\frac{1594\,x^2\,{\left(3\,x^2-x+2\right)}^{3/2}}{315}+\frac{844\,x^3\,{\left(3\,x^2-x+2\right)}^{3/2}}{189}+\frac{32\,x^4\,{\left(3\,x^2-x+2\right)}^{3/2}}{21}-\frac{137057\,\sqrt{3}\,\ln\left(\sqrt{3\,x^2-x+2}+\frac{\sqrt{3}\,\left(3\,x-\frac{1}{2}\right)}{3}\right)}{136080}-\frac{5959\,\left(\frac{x}{2}-\frac{1}{12}\right)\,\sqrt{3\,x^2-x+2}}{1890}-\frac{45739\,\sqrt{3\,x^2-x+2}\,\left(72\,x^2-6\,x+45\right)}{1632960}+\frac{7849\,x\,{\left(3\,x^2-x+2\right)}^{3/2}}{3780}-\frac{1051997\,\sqrt{3}\,\ln\left(2\,\sqrt{3\,x^2-x+2}+\frac{\sqrt{3}\,\left(6\,x-1\right)}{3}\right)}{3265920}","Not used",1,"(1594*x^2*(3*x^2 - x + 2)^(3/2))/315 + (844*x^3*(3*x^2 - x + 2)^(3/2))/189 + (32*x^4*(3*x^2 - x + 2)^(3/2))/21 - (137057*3^(1/2)*log((3*x^2 - x + 2)^(1/2) + (3^(1/2)*(3*x - 1/2))/3))/136080 - (5959*(x/2 - 1/12)*(3*x^2 - x + 2)^(1/2))/1890 - (45739*(3*x^2 - x + 2)^(1/2)*(72*x^2 - 6*x + 45))/1632960 + (7849*x*(3*x^2 - x + 2)^(3/2))/3780 - (1051997*3^(1/2)*log(2*(3*x^2 - x + 2)^(1/2) + (3^(1/2)*(6*x - 1))/3))/3265920","B"
209,1,153,118,5.150589,"\text{Not used}","int((2*x + 1)^2*(3*x^2 - x + 2)^(1/2)*(3*x + 4*x^2 + 1),x)","\frac{32\,x^2\,{\left(3\,x^2-x+2\right)}^{3/2}}{15}+\frac{8\,x^3\,{\left(3\,x^2-x+2\right)}^{3/2}}{9}-\frac{2783\,\sqrt{3}\,\ln\left(\sqrt{3\,x^2-x+2}+\frac{\sqrt{3}\,\left(3\,x-\frac{1}{2}\right)}{3}\right)}{3240}-\frac{121\,\left(\frac{x}{2}-\frac{1}{12}\right)\,\sqrt{3\,x^2-x+2}}{45}+\frac{277\,\sqrt{3\,x^2-x+2}\,\left(72\,x^2-6\,x+45\right)}{19440}+\frac{83\,x\,{\left(3\,x^2-x+2\right)}^{3/2}}{45}+\frac{6371\,\sqrt{3}\,\ln\left(2\,\sqrt{3\,x^2-x+2}+\frac{\sqrt{3}\,\left(6\,x-1\right)}{3}\right)}{38880}","Not used",1,"(32*x^2*(3*x^2 - x + 2)^(3/2))/15 + (8*x^3*(3*x^2 - x + 2)^(3/2))/9 - (2783*3^(1/2)*log((3*x^2 - x + 2)^(1/2) + (3^(1/2)*(3*x - 1/2))/3))/3240 - (121*(x/2 - 1/12)*(3*x^2 - x + 2)^(1/2))/45 + (277*(3*x^2 - x + 2)^(1/2)*(72*x^2 - 6*x + 45))/19440 + (83*x*(3*x^2 - x + 2)^(3/2))/45 + (6371*3^(1/2)*log(2*(3*x^2 - x + 2)^(1/2) + (3^(1/2)*(6*x - 1))/3))/38880","B"
210,1,136,93,4.879020,"\text{Not used}","int((2*x + 1)*(3*x^2 - x + 2)^(1/2)*(3*x + 4*x^2 + 1),x)","\frac{8\,x^2\,{\left(3\,x^2-x+2\right)}^{3/2}}{15}-\frac{253\,\sqrt{3}\,\ln\left(\sqrt{3\,x^2-x+2}+\frac{\sqrt{3}\,\left(3\,x-\frac{1}{2}\right)}{3}\right)}{810}-\frac{44\,\left(\frac{x}{2}-\frac{1}{12}\right)\,\sqrt{3\,x^2-x+2}}{45}+\frac{961\,\sqrt{3\,x^2-x+2}\,\left(72\,x^2-6\,x+45\right)}{38880}+\frac{89\,x\,{\left(3\,x^2-x+2\right)}^{3/2}}{90}+\frac{22103\,\sqrt{3}\,\ln\left(2\,\sqrt{3\,x^2-x+2}+\frac{\sqrt{3}\,\left(6\,x-1\right)}{3}\right)}{77760}","Not used",1,"(8*x^2*(3*x^2 - x + 2)^(3/2))/15 - (253*3^(1/2)*log((3*x^2 - x + 2)^(1/2) + (3^(1/2)*(3*x - 1/2))/3))/810 - (44*(x/2 - 1/12)*(3*x^2 - x + 2)^(1/2))/45 + (961*(3*x^2 - x + 2)^(1/2)*(72*x^2 - 6*x + 45))/38880 + (89*x*(3*x^2 - x + 2)^(3/2))/90 + (22103*3^(1/2)*log(2*(3*x^2 - x + 2)^(1/2) + (3^(1/2)*(6*x - 1))/3))/77760","B"
211,0,-1,101,0.000000,"\text{Not used}","int(((3*x^2 - x + 2)^(1/2)*(3*x + 4*x^2 + 1))/(2*x + 1),x)","\int \frac{\sqrt{3\,x^2-x+2}\,\left(4\,x^2+3\,x+1\right)}{2\,x+1} \,d x","Not used",1,"int(((3*x^2 - x + 2)^(1/2)*(3*x + 4*x^2 + 1))/(2*x + 1), x)","F"
212,0,-1,108,0.000000,"\text{Not used}","int(((3*x^2 - x + 2)^(1/2)*(3*x + 4*x^2 + 1))/(2*x + 1)^2,x)","\int \frac{\sqrt{3\,x^2-x+2}\,\left(4\,x^2+3\,x+1\right)}{{\left(2\,x+1\right)}^2} \,d x","Not used",1,"int(((3*x^2 - x + 2)^(1/2)*(3*x + 4*x^2 + 1))/(2*x + 1)^2, x)","F"
213,0,-1,115,0.000000,"\text{Not used}","int(((3*x^2 - x + 2)^(1/2)*(3*x + 4*x^2 + 1))/(2*x + 1)^3,x)","\int \frac{\sqrt{3\,x^2-x+2}\,\left(4\,x^2+3\,x+1\right)}{{\left(2\,x+1\right)}^3} \,d x","Not used",1,"int(((3*x^2 - x + 2)^(1/2)*(3*x + 4*x^2 + 1))/(2*x + 1)^3, x)","F"
214,0,-1,158,0.000000,"\text{Not used}","int((2*x + 1)^3*(3*x^2 - x + 2)^(3/2)*(3*x + 4*x^2 + 1),x)","\int {\left(2\,x+1\right)}^3\,{\left(3\,x^2-x+2\right)}^{3/2}\,\left(4\,x^2+3\,x+1\right) \,d x","Not used",1,"int((2*x + 1)^3*(3*x^2 - x + 2)^(3/2)*(3*x + 4*x^2 + 1), x)","F"
215,0,-1,141,0.000000,"\text{Not used}","int((2*x + 1)^2*(3*x^2 - x + 2)^(3/2)*(3*x + 4*x^2 + 1),x)","\int {\left(2\,x+1\right)}^2\,{\left(3\,x^2-x+2\right)}^{3/2}\,\left(4\,x^2+3\,x+1\right) \,d x","Not used",1,"int((2*x + 1)^2*(3*x^2 - x + 2)^(3/2)*(3*x + 4*x^2 + 1), x)","F"
216,0,-1,116,0.000000,"\text{Not used}","int((2*x + 1)*(3*x^2 - x + 2)^(3/2)*(3*x + 4*x^2 + 1),x)","\int \left(2\,x+1\right)\,{\left(3\,x^2-x+2\right)}^{3/2}\,\left(4\,x^2+3\,x+1\right) \,d x","Not used",1,"int((2*x + 1)*(3*x^2 - x + 2)^(3/2)*(3*x + 4*x^2 + 1), x)","F"
217,0,-1,124,0.000000,"\text{Not used}","int(((3*x^2 - x + 2)^(3/2)*(3*x + 4*x^2 + 1))/(2*x + 1),x)","\int \frac{{\left(3\,x^2-x+2\right)}^{3/2}\,\left(4\,x^2+3\,x+1\right)}{2\,x+1} \,d x","Not used",1,"int(((3*x^2 - x + 2)^(3/2)*(3*x + 4*x^2 + 1))/(2*x + 1), x)","F"
218,0,-1,131,0.000000,"\text{Not used}","int(((3*x^2 - x + 2)^(3/2)*(3*x + 4*x^2 + 1))/(2*x + 1)^2,x)","\int \frac{{\left(3\,x^2-x+2\right)}^{3/2}\,\left(4\,x^2+3\,x+1\right)}{{\left(2\,x+1\right)}^2} \,d x","Not used",1,"int(((3*x^2 - x + 2)^(3/2)*(3*x + 4*x^2 + 1))/(2*x + 1)^2, x)","F"
219,0,-1,138,0.000000,"\text{Not used}","int(((3*x^2 - x + 2)^(3/2)*(3*x + 4*x^2 + 1))/(2*x + 1)^3,x)","\int \frac{{\left(3\,x^2-x+2\right)}^{3/2}\,\left(4\,x^2+3\,x+1\right)}{{\left(2\,x+1\right)}^3} \,d x","Not used",1,"int(((3*x^2 - x + 2)^(3/2)*(3*x + 4*x^2 + 1))/(2*x + 1)^3, x)","F"
220,0,-1,189,0.000000,"\text{Not used}","int((2*x + 1)^3*(3*x^2 - x + 2)^(5/2)*(3*x + 4*x^2 + 1),x)","\int {\left(2\,x+1\right)}^3\,{\left(3\,x^2-x+2\right)}^{5/2}\,\left(4\,x^2+3\,x+1\right) \,d x","Not used",1,"int((2*x + 1)^3*(3*x^2 - x + 2)^(5/2)*(3*x + 4*x^2 + 1), x)","F"
221,0,-1,164,0.000000,"\text{Not used}","int((2*x + 1)^2*(3*x^2 - x + 2)^(5/2)*(3*x + 4*x^2 + 1),x)","\int {\left(2\,x+1\right)}^2\,{\left(3\,x^2-x+2\right)}^{5/2}\,\left(4\,x^2+3\,x+1\right) \,d x","Not used",1,"int((2*x + 1)^2*(3*x^2 - x + 2)^(5/2)*(3*x + 4*x^2 + 1), x)","F"
222,0,-1,139,0.000000,"\text{Not used}","int((2*x + 1)*(3*x^2 - x + 2)^(5/2)*(3*x + 4*x^2 + 1),x)","\int \left(2\,x+1\right)\,{\left(3\,x^2-x+2\right)}^{5/2}\,\left(4\,x^2+3\,x+1\right) \,d x","Not used",1,"int((2*x + 1)*(3*x^2 - x + 2)^(5/2)*(3*x + 4*x^2 + 1), x)","F"
223,0,-1,147,0.000000,"\text{Not used}","int(((3*x^2 - x + 2)^(5/2)*(3*x + 4*x^2 + 1))/(2*x + 1),x)","\int \frac{{\left(3\,x^2-x+2\right)}^{5/2}\,\left(4\,x^2+3\,x+1\right)}{2\,x+1} \,d x","Not used",1,"int(((3*x^2 - x + 2)^(5/2)*(3*x + 4*x^2 + 1))/(2*x + 1), x)","F"
224,0,-1,154,0.000000,"\text{Not used}","int(((3*x^2 - x + 2)^(5/2)*(3*x + 4*x^2 + 1))/(2*x + 1)^2,x)","\int \frac{{\left(3\,x^2-x+2\right)}^{5/2}\,\left(4\,x^2+3\,x+1\right)}{{\left(2\,x+1\right)}^2} \,d x","Not used",1,"int(((3*x^2 - x + 2)^(5/2)*(3*x + 4*x^2 + 1))/(2*x + 1)^2, x)","F"
225,0,-1,161,0.000000,"\text{Not used}","int(((3*x^2 - x + 2)^(5/2)*(3*x + 4*x^2 + 1))/(2*x + 1)^3,x)","\int \frac{{\left(3\,x^2-x+2\right)}^{5/2}\,\left(4\,x^2+3\,x+1\right)}{{\left(2\,x+1\right)}^3} \,d x","Not used",1,"int(((3*x^2 - x + 2)^(5/2)*(3*x + 4*x^2 + 1))/(2*x + 1)^3, x)","F"
226,0,-1,693,0.000000,"\text{Not used}","int(((g + h*x)^3*(d + e*x + f*x^2))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{{\left(g+h\,x\right)}^3\,\left(f\,x^2+e\,x+d\right)}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((g + h*x)^3*(d + e*x + f*x^2))/(a + b*x + c*x^2)^(1/2), x)","F"
227,0,-1,420,0.000000,"\text{Not used}","int(((g + h*x)^2*(d + e*x + f*x^2))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{{\left(g+h\,x\right)}^2\,\left(f\,x^2+e\,x+d\right)}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((g + h*x)^2*(d + e*x + f*x^2))/(a + b*x + c*x^2)^(1/2), x)","F"
228,0,-1,223,0.000000,"\text{Not used}","int(((g + h*x)*(d + e*x + f*x^2))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{\left(g+h\,x\right)\,\left(f\,x^2+e\,x+d\right)}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((g + h*x)*(d + e*x + f*x^2))/(a + b*x + c*x^2)^(1/2), x)","F"
229,0,-1,116,0.000000,"\text{Not used}","int((d + e*x + f*x^2)/(a + b*x + c*x^2)^(1/2),x)","\int \frac{f\,x^2+e\,x+d}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((d + e*x + f*x^2)/(a + b*x + c*x^2)^(1/2), x)","F"
230,0,-1,179,0.000000,"\text{Not used}","int((d + e*x + f*x^2)/((g + h*x)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{f\,x^2+e\,x+d}{\left(g+h\,x\right)\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((d + e*x + f*x^2)/((g + h*x)*(a + b*x + c*x^2)^(1/2)), x)","F"
231,0,-1,241,0.000000,"\text{Not used}","int((d + e*x + f*x^2)/((g + h*x)^2*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{f\,x^2+e\,x+d}{{\left(g+h\,x\right)}^2\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((d + e*x + f*x^2)/((g + h*x)^2*(a + b*x + c*x^2)^(1/2)), x)","F"
232,0,-1,336,0.000000,"\text{Not used}","int((d + e*x + f*x^2)/((g + h*x)^3*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{f\,x^2+e\,x+d}{{\left(g+h\,x\right)}^3\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((d + e*x + f*x^2)/((g + h*x)^3*(a + b*x + c*x^2)^(1/2)), x)","F"
233,0,-1,504,0.000000,"\text{Not used}","int(((g + h*x)^3*(d + e*x + f*x^2))/(a + b*x + c*x^2)^(3/2),x)","\int \frac{{\left(g+h\,x\right)}^3\,\left(f\,x^2+e\,x+d\right)}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((g + h*x)^3*(d + e*x + f*x^2))/(a + b*x + c*x^2)^(3/2), x)","F"
234,0,-1,289,0.000000,"\text{Not used}","int(((g + h*x)^2*(d + e*x + f*x^2))/(a + b*x + c*x^2)^(3/2),x)","\int \frac{{\left(g+h\,x\right)}^2\,\left(f\,x^2+e\,x+d\right)}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((g + h*x)^2*(d + e*x + f*x^2))/(a + b*x + c*x^2)^(3/2), x)","F"
235,0,-1,186,0.000000,"\text{Not used}","int(((g + h*x)*(d + e*x + f*x^2))/(a + b*x + c*x^2)^(3/2),x)","\int \frac{\left(g+h\,x\right)\,\left(f\,x^2+e\,x+d\right)}{{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int(((g + h*x)*(d + e*x + f*x^2))/(a + b*x + c*x^2)^(3/2), x)","F"
236,1,143,111,4.535365,"\text{Not used}","int((d + e*x + f*x^2)/(a + b*x + c*x^2)^(3/2),x)","\frac{f\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{c^{3/2}}-\frac{e\,\left(4\,a+2\,b\,x\right)}{\left(4\,a\,c-b^2\right)\,\sqrt{c\,x^2+b\,x+a}}+\frac{d\,\left(\frac{b}{2}+c\,x\right)}{\left(a\,c-\frac{b^2}{4}\right)\,\sqrt{c\,x^2+b\,x+a}}+\frac{f\,\left(\frac{a\,b}{2}-x\,\left(a\,c-\frac{b^2}{2}\right)\right)}{c\,\left(a\,c-\frac{b^2}{4}\right)\,\sqrt{c\,x^2+b\,x+a}}","Not used",1,"(f*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/c^(3/2) - (e*(4*a + 2*b*x))/((4*a*c - b^2)*(a + b*x + c*x^2)^(1/2)) + (d*(b/2 + c*x))/((a*c - b^2/4)*(a + b*x + c*x^2)^(1/2)) + (f*((a*b)/2 - x*(a*c - b^2/2)))/(c*(a*c - b^2/4)*(a + b*x + c*x^2)^(1/2))","B"
237,0,-1,225,0.000000,"\text{Not used}","int((d + e*x + f*x^2)/((g + h*x)*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{f\,x^2+e\,x+d}{\left(g+h\,x\right)\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((d + e*x + f*x^2)/((g + h*x)*(a + b*x + c*x^2)^(3/2)), x)","F"
238,0,-1,421,0.000000,"\text{Not used}","int((d + e*x + f*x^2)/((g + h*x)^2*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{f\,x^2+e\,x+d}{{\left(g+h\,x\right)}^2\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((d + e*x + f*x^2)/((g + h*x)^2*(a + b*x + c*x^2)^(3/2)), x)","F"
239,0,-1,713,0.000000,"\text{Not used}","int((d + e*x + f*x^2)/((g + h*x)^3*(a + b*x + c*x^2)^(3/2)),x)","\int \frac{f\,x^2+e\,x+d}{{\left(g+h\,x\right)}^3\,{\left(c\,x^2+b\,x+a\right)}^{3/2}} \,d x","Not used",1,"int((d + e*x + f*x^2)/((g + h*x)^3*(a + b*x + c*x^2)^(3/2)), x)","F"
240,0,-1,120,0.000000,"\text{Not used}","int(((2*x + 1)^3*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(1/2),x)","\int \frac{{\left(2\,x+1\right)}^3\,\left(4\,x^2+3\,x+1\right)}{\sqrt{3\,x^2-x+2}} \,d x","Not used",1,"int(((2*x + 1)^3*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(1/2), x)","F"
241,0,-1,95,0.000000,"\text{Not used}","int(((2*x + 1)^2*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(1/2),x)","\int \frac{{\left(2\,x+1\right)}^2\,\left(4\,x^2+3\,x+1\right)}{\sqrt{3\,x^2-x+2}} \,d x","Not used",1,"int(((2*x + 1)^2*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(1/2), x)","F"
242,0,-1,70,0.000000,"\text{Not used}","int(((2*x + 1)*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(1/2),x)","\int \frac{\left(2\,x+1\right)\,\left(4\,x^2+3\,x+1\right)}{\sqrt{3\,x^2-x+2}} \,d x","Not used",1,"int(((2*x + 1)*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(1/2), x)","F"
243,0,-1,78,0.000000,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)*(3*x^2 - x + 2)^(1/2)),x)","\int \frac{4\,x^2+3\,x+1}{\left(2\,x+1\right)\,\sqrt{3\,x^2-x+2}} \,d x","Not used",1,"int((3*x + 4*x^2 + 1)/((2*x + 1)*(3*x^2 - x + 2)^(1/2)), x)","F"
244,0,-1,83,0.000000,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)^2*(3*x^2 - x + 2)^(1/2)),x)","\int \frac{4\,x^2+3\,x+1}{{\left(2\,x+1\right)}^2\,\sqrt{3\,x^2-x+2}} \,d x","Not used",1,"int((3*x + 4*x^2 + 1)/((2*x + 1)^2*(3*x^2 - x + 2)^(1/2)), x)","F"
245,0,-1,89,0.000000,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)^3*(3*x^2 - x + 2)^(1/2)),x)","\int \frac{4\,x^2+3\,x+1}{{\left(2\,x+1\right)}^3\,\sqrt{3\,x^2-x+2}} \,d x","Not used",1,"int((3*x + 4*x^2 + 1)/((2*x + 1)^3*(3*x^2 - x + 2)^(1/2)), x)","F"
246,0,-1,103,0.000000,"\text{Not used}","int(((2*x + 1)^3*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(3/2),x)","\int \frac{{\left(2\,x+1\right)}^3\,\left(4\,x^2+3\,x+1\right)}{{\left(3\,x^2-x+2\right)}^{3/2}} \,d x","Not used",1,"int(((2*x + 1)^3*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(3/2), x)","F"
247,0,-1,82,0.000000,"\text{Not used}","int(((2*x + 1)^2*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(3/2),x)","\int \frac{{\left(2\,x+1\right)}^2\,\left(4\,x^2+3\,x+1\right)}{{\left(3\,x^2-x+2\right)}^{3/2}} \,d x","Not used",1,"int(((2*x + 1)^2*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(3/2), x)","F"
248,0,-1,63,0.000000,"\text{Not used}","int(((2*x + 1)*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(3/2),x)","\int \frac{\left(2\,x+1\right)\,\left(4\,x^2+3\,x+1\right)}{{\left(3\,x^2-x+2\right)}^{3/2}} \,d x","Not used",1,"int(((2*x + 1)*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(3/2), x)","F"
249,0,-1,62,0.000000,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)*(3*x^2 - x + 2)^(3/2)),x)","\int \frac{4\,x^2+3\,x+1}{\left(2\,x+1\right)\,{\left(3\,x^2-x+2\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 4*x^2 + 1)/((2*x + 1)*(3*x^2 - x + 2)^(3/2)), x)","F"
250,0,-1,87,0.000000,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)^2*(3*x^2 - x + 2)^(3/2)),x)","\int \frac{4\,x^2+3\,x+1}{{\left(2\,x+1\right)}^2\,{\left(3\,x^2-x+2\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 4*x^2 + 1)/((2*x + 1)^2*(3*x^2 - x + 2)^(3/2)), x)","F"
251,0,-1,112,0.000000,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)^3*(3*x^2 - x + 2)^(3/2)),x)","\int \frac{4\,x^2+3\,x+1}{{\left(2\,x+1\right)}^3\,{\left(3\,x^2-x+2\right)}^{3/2}} \,d x","Not used",1,"int((3*x + 4*x^2 + 1)/((2*x + 1)^3*(3*x^2 - x + 2)^(3/2)), x)","F"
252,0,-1,86,0.000000,"\text{Not used}","int(((2*x + 1)^3*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(5/2),x)","\int \frac{{\left(2\,x+1\right)}^3\,\left(4\,x^2+3\,x+1\right)}{{\left(3\,x^2-x+2\right)}^{5/2}} \,d x","Not used",1,"int(((2*x + 1)^3*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(5/2), x)","F"
253,0,-1,68,0.000000,"\text{Not used}","int(((2*x + 1)^2*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(5/2),x)","\int \frac{{\left(2\,x+1\right)}^2\,\left(4\,x^2+3\,x+1\right)}{{\left(3\,x^2-x+2\right)}^{5/2}} \,d x","Not used",1,"int(((2*x + 1)^2*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(5/2), x)","F"
254,1,49,47,4.195929,"\text{Not used}","int(((2*x + 1)*(3*x + 4*x^2 + 1))/(3*x^2 - x + 2)^(5/2),x)","-\frac{442\,x-5720\,x\,\left(3\,x^2-x+2\right)+15556\,x^2+11490}{\sqrt{3\,x^2-x+2}\,\left(14283\,x^2-4761\,x+9522\right)}","Not used",1,"-(442*x - 5720*x*(3*x^2 - x + 2) + 15556*x^2 + 11490)/((3*x^2 - x + 2)^(1/2)*(14283*x^2 - 4761*x + 9522))","B"
255,0,-1,85,0.000000,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)*(3*x^2 - x + 2)^(5/2)),x)","\int \frac{4\,x^2+3\,x+1}{\left(2\,x+1\right)\,{\left(3\,x^2-x+2\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 4*x^2 + 1)/((2*x + 1)*(3*x^2 - x + 2)^(5/2)), x)","F"
256,0,-1,110,0.000000,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)^2*(3*x^2 - x + 2)^(5/2)),x)","\int \frac{4\,x^2+3\,x+1}{{\left(2\,x+1\right)}^2\,{\left(3\,x^2-x+2\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 4*x^2 + 1)/((2*x + 1)^2*(3*x^2 - x + 2)^(5/2)), x)","F"
257,0,-1,135,0.000000,"\text{Not used}","int((3*x + 4*x^2 + 1)/((2*x + 1)^3*(3*x^2 - x + 2)^(5/2)),x)","\int \frac{4\,x^2+3\,x+1}{{\left(2\,x+1\right)}^3\,{\left(3\,x^2-x+2\right)}^{5/2}} \,d x","Not used",1,"int((3*x + 4*x^2 + 1)/((2*x + 1)^3*(3*x^2 - x + 2)^(5/2)), x)","F"
258,1,1089,208,5.748485,"\text{Not used}","int((d + e*x + f*x^2)/((g + h*x)*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(3/2)),x)","\frac{16\,c^2\,f\,g^4\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}-2\,b^2\,d\,h^4\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}-8\,c^2\,d\,g^2\,h^2\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}+16\,b^2\,f\,g^2\,h^2\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}+16\,c^2\,d\,h^4\,x^2\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}+6\,b^2\,f\,h^4\,x^2\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}-4\,b^2\,e\,g\,h^3\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}+8\,c^2\,e\,g^3\,h\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}-6\,b^2\,e\,h^4\,x\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}+8\,b\,c\,d\,h^4\,x\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}-8\,c^2\,f\,g^2\,h^2\,x^2\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}-4\,b\,c\,e\,g^2\,h^2\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}-12\,b\,c\,e\,h^4\,x^2\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}+16\,c^2\,d\,g\,h^3\,x\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}+24\,b^2\,f\,g\,h^3\,x\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}+16\,c^2\,f\,g^3\,h\,x\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}+8\,c^2\,e\,g^2\,h^2\,x\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}+8\,c^2\,e\,g\,h^3\,x^2\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}+16\,b\,c\,d\,g\,h^3\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}-32\,b\,c\,f\,g^3\,h\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}-8\,b\,c\,e\,g\,h^3\,x\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}-40\,b\,c\,f\,g^2\,h^2\,x\,\sqrt{-c\,g^2+b\,g\,h+c\,h^2\,x^2+b\,h^2\,x}}{3\,b^4\,g^2\,h^7+6\,b^4\,g\,h^8\,x+3\,b^4\,h^9\,x^2-21\,b^3\,c\,g^3\,h^6-39\,b^3\,c\,g^2\,h^7\,x-15\,b^3\,c\,g\,h^8\,x^2+3\,b^3\,c\,h^9\,x^3+54\,b^2\,c^2\,g^4\,h^5+90\,b^2\,c^2\,g^3\,h^6\,x+18\,b^2\,c^2\,g^2\,h^7\,x^2-18\,b^2\,c^2\,g\,h^8\,x^3-60\,b\,c^3\,g^5\,h^4-84\,b\,c^3\,g^4\,h^5\,x+12\,b\,c^3\,g^3\,h^6\,x^2+36\,b\,c^3\,g^2\,h^7\,x^3+24\,c^4\,g^6\,h^3+24\,c^4\,g^5\,h^4\,x-24\,c^4\,g^4\,h^5\,x^2-24\,c^4\,g^3\,h^6\,x^3}","Not used",1,"(16*c^2*f*g^4*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) - 2*b^2*d*h^4*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) - 8*c^2*d*g^2*h^2*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) + 16*b^2*f*g^2*h^2*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) + 16*c^2*d*h^4*x^2*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) + 6*b^2*f*h^4*x^2*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) - 4*b^2*e*g*h^3*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) + 8*c^2*e*g^3*h*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) - 6*b^2*e*h^4*x*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) + 8*b*c*d*h^4*x*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) - 8*c^2*f*g^2*h^2*x^2*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) - 4*b*c*e*g^2*h^2*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) - 12*b*c*e*h^4*x^2*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) + 16*c^2*d*g*h^3*x*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) + 24*b^2*f*g*h^3*x*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) + 16*c^2*f*g^3*h*x*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) + 8*c^2*e*g^2*h^2*x*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) + 8*c^2*e*g*h^3*x^2*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) + 16*b*c*d*g*h^3*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) - 32*b*c*f*g^3*h*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) - 8*b*c*e*g*h^3*x*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2) - 40*b*c*f*g^2*h^2*x*(b*h^2*x - c*g^2 + c*h^2*x^2 + b*g*h)^(1/2))/(3*b^4*g^2*h^7 + 24*c^4*g^6*h^3 + 3*b^4*h^9*x^2 - 60*b*c^3*g^5*h^4 - 21*b^3*c*g^3*h^6 + 3*b^3*c*h^9*x^3 + 24*c^4*g^5*h^4*x + 54*b^2*c^2*g^4*h^5 - 24*c^4*g^4*h^5*x^2 - 24*c^4*g^3*h^6*x^3 + 6*b^4*g*h^8*x + 18*b^2*c^2*g^2*h^7*x^2 - 84*b*c^3*g^4*h^5*x - 39*b^3*c*g^2*h^7*x - 15*b^3*c*g*h^8*x^2 + 90*b^2*c^2*g^3*h^6*x + 12*b*c^3*g^3*h^6*x^2 + 36*b*c^3*g^2*h^7*x^3 - 18*b^2*c^2*g*h^8*x^3)","B"
259,0,-1,906,0.000000,"\text{Not used}","int((d + e*x)^(1/2)*(A + B*x + C*x^2)*(a + b*x + c*x^2)^(1/2),x)","\int \sqrt{d+e\,x}\,\left(C\,x^2+B\,x+A\right)\,\sqrt{c\,x^2+b\,x+a} \,d x","Not used",1,"int((d + e*x)^(1/2)*(A + B*x + C*x^2)*(a + b*x + c*x^2)^(1/2), x)","F"
260,0,-1,668,0.000000,"\text{Not used}","int(((A + B*x + C*x^2)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(1/2),x)","\int \frac{\left(C\,x^2+B\,x+A\right)\,\sqrt{c\,x^2+b\,x+a}}{\sqrt{d+e\,x}} \,d x","Not used",1,"int(((A + B*x + C*x^2)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(1/2), x)","F"
261,0,-1,749,0.000000,"\text{Not used}","int(((A + B*x + C*x^2)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(3/2),x)","\int \frac{\left(C\,x^2+B\,x+A\right)\,\sqrt{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^{3/2}} \,d x","Not used",1,"int(((A + B*x + C*x^2)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(3/2), x)","F"
262,0,-1,712,0.000000,"\text{Not used}","int(((A + B*x + C*x^2)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(5/2),x)","\int \frac{\left(C\,x^2+B\,x+A\right)\,\sqrt{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^{5/2}} \,d x","Not used",1,"int(((A + B*x + C*x^2)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(5/2), x)","F"
263,0,-1,992,0.000000,"\text{Not used}","int(((A + B*x + C*x^2)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(7/2),x)","\int \frac{\left(C\,x^2+B\,x+A\right)\,\sqrt{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^{7/2}} \,d x","Not used",1,"int(((A + B*x + C*x^2)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(7/2), x)","F"
264,0,-1,1363,0.000000,"\text{Not used}","int(((A + B*x + C*x^2)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(9/2),x)","\int \frac{\left(C\,x^2+B\,x+A\right)\,\sqrt{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^{9/2}} \,d x","Not used",1,"int(((A + B*x + C*x^2)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(9/2), x)","F"
265,0,-1,1904,0.000000,"\text{Not used}","int(((A + B*x + C*x^2)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(11/2),x)","\int \frac{\left(C\,x^2+B\,x+A\right)\,\sqrt{c\,x^2+b\,x+a}}{{\left(d+e\,x\right)}^{11/2}} \,d x","Not used",1,"int(((A + B*x + C*x^2)*(a + b*x + c*x^2)^(1/2))/(d + e*x)^(11/2), x)","F"
266,0,-1,724,0.000000,"\text{Not used}","int(((d + e*x)^(3/2)*(A + B*x + C*x^2))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{{\left(d+e\,x\right)}^{3/2}\,\left(C\,x^2+B\,x+A\right)}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((d + e*x)^(3/2)*(A + B*x + C*x^2))/(a + b*x + c*x^2)^(1/2), x)","F"
267,0,-1,557,0.000000,"\text{Not used}","int(((d + e*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{\sqrt{d+e\,x}\,\left(C\,x^2+B\,x+A\right)}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int(((d + e*x)^(1/2)*(A + B*x + C*x^2))/(a + b*x + c*x^2)^(1/2), x)","F"
268,0,-1,471,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((d + e*x)^(1/2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{C\,x^2+B\,x+A}{\sqrt{d+e\,x}\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x + C*x^2)/((d + e*x)^(1/2)*(a + b*x + c*x^2)^(1/2)), x)","F"
269,0,-1,508,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((d + e*x)^(3/2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{C\,x^2+B\,x+A}{{\left(d+e\,x\right)}^{3/2}\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x + C*x^2)/((d + e*x)^(3/2)*(a + b*x + c*x^2)^(1/2)), x)","F"
270,0,-1,684,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((d + e*x)^(5/2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{C\,x^2+B\,x+A}{{\left(d+e\,x\right)}^{5/2}\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x + C*x^2)/((d + e*x)^(5/2)*(a + b*x + c*x^2)^(1/2)), x)","F"
271,0,-1,944,0.000000,"\text{Not used}","int((A + B*x + C*x^2)/((d + e*x)^(7/2)*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{C\,x^2+B\,x+A}{{\left(d+e\,x\right)}^{7/2}\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((A + B*x + C*x^2)/((d + e*x)^(7/2)*(a + b*x + c*x^2)^(1/2)), x)","F"
272,0,-1,510,0.000000,"\text{Not used}","int((g + h*x)^m*(a + b*x + c*x^2)^p*(d + e*x + f*x^2),x)","\int {\left(g+h\,x\right)}^m\,{\left(c\,x^2+b\,x+a\right)}^p\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((g + h*x)^m*(a + b*x + c*x^2)^p*(d + e*x + f*x^2), x)","F"
273,0,-1,496,0.000000,"\text{Not used}","int((g + h*x)^m*(a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2),x)","\int {\left(g+h\,x\right)}^m\,\sqrt{c\,x^2+b\,x+a}\,\left(f\,x^2+e\,x+d\right) \,d x","Not used",1,"int((g + h*x)^m*(a + b*x + c*x^2)^(1/2)*(d + e*x + f*x^2), x)","F"
274,0,-1,590,0.000000,"\text{Not used}","int(((a + b*x + c*x^2)^p*(d + e*x + f*x^2))/(g + h*x)^(2*p + 3),x)","\int \frac{{\left(c\,x^2+b\,x+a\right)}^p\,\left(f\,x^2+e\,x+d\right)}{{\left(g+h\,x\right)}^{2\,p+3}} \,d x","Not used",1,"int(((a + b*x + c*x^2)^p*(d + e*x + f*x^2))/(g + h*x)^(2*p + 3), x)","F"
275,1,58,41,4.246257,"\text{Not used}","int((d + f*x^2)^p*(2*c*d*f + 2*b*f^2*x*(2*p + 3) + 2*c*f^2*x^2*(2*p + 3)),x)","{\left(f\,x^2+d\right)}^p\,\left(2\,c\,f^2\,x^3+2\,c\,d\,f\,x+\frac{b\,f^2\,x^2\,\left(2\,p+3\right)}{p+1}+\frac{b\,d\,f\,\left(2\,p+3\right)}{p+1}\right)","Not used",1,"(d + f*x^2)^p*(2*c*f^2*x^3 + 2*c*d*f*x + (b*f^2*x^2*(2*p + 3))/(p + 1) + (b*d*f*(2*p + 3))/(p + 1))","B"
276,1,78,46,4.394638,"\text{Not used}","int(-(d + e*x + f*x^2)^p*(2*c*e^2 - 2*c*d*f + c*e^2*p - 2*c*f^2*x^2*(2*p + 3)),x)","{\left(f\,x^2+e\,x+d\right)}^p\,\left(2\,c\,f^2\,x^3+\frac{c\,x\,\left(2\,d\,f-e^2\,p-2\,e^2+2\,d\,f\,p\right)}{p+1}-\frac{c\,d\,e\,\left(p+2\right)}{p+1}+\frac{c\,e\,f\,p\,x^2}{p+1}\right)","Not used",1,"(d + e*x + f*x^2)^p*(2*c*f^2*x^3 + (c*x*(2*d*f - e^2*p - 2*e^2 + 2*d*f*p))/(p + 1) - (c*d*e*(p + 2))/(p + 1) + (c*e*f*p*x^2)/(p + 1))","B"
277,1,120,57,4.456536,"\text{Not used}","int((d + e*x + f*x^2)^p*(3*b*e*f - 2*c*e^2 + 2*c*d*f - c*e^2*p + 2*b*f^2*x*(2*p + 3) + 2*c*f^2*x^2*(2*p + 3) + 2*b*e*f*p),x)","{\left(f\,x^2+e\,x+d\right)}^p\,\left(\frac{x^2\,\left(3\,b\,f^2+2\,b\,f^2\,p+c\,e\,f\,p\right)}{p+1}+2\,c\,f^2\,x^3+\frac{d\,\left(3\,b\,f-2\,c\,e+2\,b\,f\,p-c\,e\,p\right)}{p+1}+\frac{x\,\left(3\,b\,e\,f-2\,c\,e^2+2\,c\,d\,f-c\,e^2\,p+2\,b\,e\,f\,p+2\,c\,d\,f\,p\right)}{p+1}\right)","Not used",1,"(d + e*x + f*x^2)^p*((x^2*(3*b*f^2 + 2*b*f^2*p + c*e*f*p))/(p + 1) + 2*c*f^2*x^3 + (d*(3*b*f - 2*c*e + 2*b*f*p - c*e*p))/(p + 1) + (x*(3*b*e*f - 2*c*e^2 + 2*c*d*f - c*e^2*p + 2*b*e*f*p + 2*c*d*f*p))/(p + 1))","B"
278,1,2026,20,4.865489,"\text{Not used}","int((d + e*x)^3*(a + b*x + c*x^2)^5*(d*(5*a*e + 6*b*d) + x*(5*a*e^2 + 12*c*d^2 + 17*b*d*e) + e*x^2*(11*b*e + 29*c*d) + 17*c*e^2*x^3),x)","x^6\,\left(6\,a^5\,b\,e^5+30\,a^5\,c\,d\,e^4+75\,a^4\,b^2\,d\,e^4+300\,a^4\,b\,c\,d^2\,e^3+150\,a^4\,c^2\,d^3\,e^2+200\,a^3\,b^3\,d^2\,e^3+600\,a^3\,b^2\,c\,d^3\,e^2+300\,a^3\,b\,c^2\,d^4\,e+20\,a^3\,c^3\,d^5+150\,a^2\,b^4\,d^3\,e^2+300\,a^2\,b^3\,c\,d^4\,e+90\,a^2\,b^2\,c^2\,d^5+30\,a\,b^5\,d^4\,e+30\,a\,b^4\,c\,d^5+b^6\,d^5\right)+x^{11}\,\left(20\,a^3\,c^3\,e^5+90\,a^2\,b^2\,c^2\,e^5+300\,a^2\,b\,c^3\,d\,e^4+150\,a^2\,c^4\,d^2\,e^3+30\,a\,b^4\,c\,e^5+300\,a\,b^3\,c^2\,d\,e^4+600\,a\,b^2\,c^3\,d^2\,e^3+300\,a\,b\,c^4\,d^3\,e^2+30\,a\,c^5\,d^4\,e+b^6\,e^5+30\,b^5\,c\,d\,e^4+150\,b^4\,c^2\,d^2\,e^3+200\,b^3\,c^3\,d^3\,e^2+75\,b^2\,c^4\,d^4\,e+6\,b\,c^5\,d^5\right)+x^5\,\left(a^6\,e^5+30\,a^5\,b\,d\,e^4+60\,a^5\,c\,d^2\,e^3+150\,a^4\,b^2\,d^2\,e^3+300\,a^4\,b\,c\,d^3\,e^2+75\,a^4\,c^2\,d^4\,e+200\,a^3\,b^3\,d^3\,e^2+300\,a^3\,b^2\,c\,d^4\,e+60\,a^3\,b\,c^2\,d^5+75\,a^2\,b^4\,d^4\,e+60\,a^2\,b^3\,c\,d^5+6\,a\,b^5\,d^5\right)+x^3\,\left(10\,a^6\,d^2\,e^3+60\,a^5\,b\,d^3\,e^2+30\,c\,a^5\,d^4\,e+75\,a^4\,b^2\,d^4\,e+30\,c\,a^4\,b\,d^5+20\,a^3\,b^3\,d^5\right)+x^{12}\,\left(60\,a^2\,b\,c^3\,e^5+75\,a^2\,c^4\,d\,e^4+60\,a\,b^3\,c^2\,e^5+300\,a\,b^2\,c^3\,d\,e^4+300\,a\,b\,c^4\,d^2\,e^3+60\,a\,c^5\,d^3\,e^2+6\,b^5\,c\,e^5+75\,b^4\,c^2\,d\,e^4+200\,b^3\,c^3\,d^2\,e^3+150\,b^2\,c^4\,d^3\,e^2+30\,b\,c^5\,d^4\,e+c^6\,d^5\right)+x^7\,\left(6\,a^5\,c\,e^5+15\,a^4\,b^2\,e^5+150\,a^4\,b\,c\,d\,e^4+150\,a^4\,c^2\,d^2\,e^3+100\,a^3\,b^3\,d\,e^4+600\,a^3\,b^2\,c\,d^2\,e^3+600\,a^3\,b\,c^2\,d^3\,e^2+100\,a^3\,c^3\,d^4\,e+150\,a^2\,b^4\,d^2\,e^3+600\,a^2\,b^3\,c\,d^3\,e^2+450\,a^2\,b^2\,c^2\,d^4\,e+60\,a^2\,b\,c^3\,d^5+60\,a\,b^5\,d^3\,e^2+150\,a\,b^4\,c\,d^4\,e+60\,a\,b^3\,c^2\,d^5+5\,b^6\,d^4\,e+6\,b^5\,c\,d^5\right)+x^{10}\,\left(60\,a^3\,b\,c^2\,e^5+100\,a^3\,c^3\,d\,e^4+60\,a^2\,b^3\,c\,e^5+450\,a^2\,b^2\,c^2\,d\,e^4+600\,a^2\,b\,c^3\,d^2\,e^3+150\,a^2\,c^4\,d^3\,e^2+6\,a\,b^5\,e^5+150\,a\,b^4\,c\,d\,e^4+600\,a\,b^3\,c^2\,d^2\,e^3+600\,a\,b^2\,c^3\,d^3\,e^2+150\,a\,b\,c^4\,d^4\,e+6\,a\,c^5\,d^5+5\,b^6\,d\,e^4+60\,b^5\,c\,d^2\,e^3+150\,b^4\,c^2\,d^3\,e^2+100\,b^3\,c^3\,d^4\,e+15\,b^2\,c^4\,d^5\right)+x^8\,\left(30\,a^4\,b\,c\,e^5+75\,a^4\,c^2\,d\,e^4+20\,a^3\,b^3\,e^5+300\,a^3\,b^2\,c\,d\,e^4+600\,a^3\,b\,c^2\,d^2\,e^3+200\,a^3\,c^3\,d^3\,e^2+75\,a^2\,b^4\,d\,e^4+600\,a^2\,b^3\,c\,d^2\,e^3+900\,a^2\,b^2\,c^2\,d^3\,e^2+300\,a^2\,b\,c^3\,d^4\,e+15\,a^2\,c^4\,d^5+60\,a\,b^5\,d^2\,e^3+300\,a\,b^4\,c\,d^3\,e^2+300\,a\,b^3\,c^2\,d^4\,e+60\,a\,b^2\,c^3\,d^5+10\,b^6\,d^3\,e^2+30\,b^5\,c\,d^4\,e+15\,b^4\,c^2\,d^5\right)+x^9\,\left(15\,a^4\,c^2\,e^5+60\,a^3\,b^2\,c\,e^5+300\,a^3\,b\,c^2\,d\,e^4+200\,a^3\,c^3\,d^2\,e^3+15\,a^2\,b^4\,e^5+300\,a^2\,b^3\,c\,d\,e^4+900\,a^2\,b^2\,c^2\,d^2\,e^3+600\,a^2\,b\,c^3\,d^3\,e^2+75\,a^2\,c^4\,d^4\,e+30\,a\,b^5\,d\,e^4+300\,a\,b^4\,c\,d^2\,e^3+600\,a\,b^3\,c^2\,d^3\,e^2+300\,a\,b^2\,c^3\,d^4\,e+30\,a\,b\,c^4\,d^5+10\,b^6\,d^2\,e^3+60\,b^5\,c\,d^3\,e^2+75\,b^4\,c^2\,d^4\,e+20\,b^3\,c^3\,d^5\right)+x^4\,\left(5\,a^6\,d\,e^4+60\,a^5\,b\,d^2\,e^3+60\,a^5\,c\,d^3\,e^2+150\,a^4\,b^2\,d^3\,e^2+150\,a^4\,b\,c\,d^4\,e+15\,a^4\,c^2\,d^5+100\,a^3\,b^3\,d^4\,e+60\,a^3\,b^2\,c\,d^5+15\,a^2\,b^4\,d^5\right)+x^{13}\,\left(15\,a^2\,c^4\,e^5+60\,a\,b^2\,c^3\,e^5+150\,a\,b\,c^4\,d\,e^4+60\,a\,c^5\,d^2\,e^3+15\,b^4\,c^2\,e^5+100\,b^3\,c^3\,d\,e^4+150\,b^2\,c^4\,d^2\,e^3+60\,b\,c^5\,d^3\,e^2+5\,c^6\,d^4\,e\right)+c^6\,e^5\,x^{17}+a^5\,d^4\,x\,\left(5\,a\,e+6\,b\,d\right)+5\,c^3\,e^2\,x^{14}\,\left(4\,b^3\,e^3+15\,b^2\,c\,d\,e^2+12\,b\,c^2\,d^2\,e+6\,a\,b\,c\,e^3+2\,c^3\,d^3+6\,a\,c^2\,d\,e^2\right)+c^5\,e^4\,x^{16}\,\left(6\,b\,e+5\,c\,d\right)+a^4\,d^3\,x^2\,\left(10\,a^2\,e^2+30\,a\,b\,d\,e+6\,c\,a\,d^2+15\,b^2\,d^2\right)+c^4\,e^3\,x^{15}\,\left(15\,b^2\,e^2+30\,b\,c\,d\,e+10\,c^2\,d^2+6\,a\,c\,e^2\right)","Not used",1,"x^6*(b^6*d^5 + 6*a^5*b*e^5 + 20*a^3*c^3*d^5 + 75*a^4*b^2*d*e^4 + 90*a^2*b^2*c^2*d^5 + 150*a^2*b^4*d^3*e^2 + 200*a^3*b^3*d^2*e^3 + 150*a^4*c^2*d^3*e^2 + 30*a*b^4*c*d^5 + 30*a*b^5*d^4*e + 30*a^5*c*d*e^4 + 300*a^2*b^3*c*d^4*e + 300*a^3*b*c^2*d^4*e + 300*a^4*b*c*d^2*e^3 + 600*a^3*b^2*c*d^3*e^2) + x^11*(b^6*e^5 + 6*b*c^5*d^5 + 20*a^3*c^3*e^5 + 75*b^2*c^4*d^4*e + 90*a^2*b^2*c^2*e^5 + 150*a^2*c^4*d^2*e^3 + 200*b^3*c^3*d^3*e^2 + 150*b^4*c^2*d^2*e^3 + 30*a*b^4*c*e^5 + 30*a*c^5*d^4*e + 30*b^5*c*d*e^4 + 300*a*b*c^4*d^3*e^2 + 300*a*b^3*c^2*d*e^4 + 300*a^2*b*c^3*d*e^4 + 600*a*b^2*c^3*d^2*e^3) + x^5*(a^6*e^5 + 6*a*b^5*d^5 + 60*a^2*b^3*c*d^5 + 60*a^3*b*c^2*d^5 + 75*a^2*b^4*d^4*e + 75*a^4*c^2*d^4*e + 60*a^5*c*d^2*e^3 + 200*a^3*b^3*d^3*e^2 + 150*a^4*b^2*d^2*e^3 + 30*a^5*b*d*e^4 + 300*a^3*b^2*c*d^4*e + 300*a^4*b*c*d^3*e^2) + x^3*(20*a^3*b^3*d^5 + 10*a^6*d^2*e^3 + 75*a^4*b^2*d^4*e + 60*a^5*b*d^3*e^2 + 30*a^4*b*c*d^5 + 30*a^5*c*d^4*e) + x^12*(c^6*d^5 + 6*b^5*c*e^5 + 60*a*b^3*c^2*e^5 + 60*a^2*b*c^3*e^5 + 60*a*c^5*d^3*e^2 + 75*a^2*c^4*d*e^4 + 75*b^4*c^2*d*e^4 + 150*b^2*c^4*d^3*e^2 + 200*b^3*c^3*d^2*e^3 + 30*b*c^5*d^4*e + 300*a*b*c^4*d^2*e^3 + 300*a*b^2*c^3*d*e^4) + x^7*(6*a^5*c*e^5 + 6*b^5*c*d^5 + 5*b^6*d^4*e + 15*a^4*b^2*e^5 + 60*a*b^3*c^2*d^5 + 60*a^2*b*c^3*d^5 + 60*a*b^5*d^3*e^2 + 100*a^3*b^3*d*e^4 + 100*a^3*c^3*d^4*e + 150*a^2*b^4*d^2*e^3 + 150*a^4*c^2*d^2*e^3 + 150*a*b^4*c*d^4*e + 150*a^4*b*c*d*e^4 + 450*a^2*b^2*c^2*d^4*e + 600*a^2*b^3*c*d^3*e^2 + 600*a^3*b*c^2*d^3*e^2 + 600*a^3*b^2*c*d^2*e^3) + x^10*(6*a*b^5*e^5 + 6*a*c^5*d^5 + 5*b^6*d*e^4 + 15*b^2*c^4*d^5 + 60*a^2*b^3*c*e^5 + 60*a^3*b*c^2*e^5 + 100*a^3*c^3*d*e^4 + 100*b^3*c^3*d^4*e + 60*b^5*c*d^2*e^3 + 150*a^2*c^4*d^3*e^2 + 150*b^4*c^2*d^3*e^2 + 150*a*b*c^4*d^4*e + 150*a*b^4*c*d*e^4 + 600*a*b^2*c^3*d^3*e^2 + 600*a*b^3*c^2*d^2*e^3 + 600*a^2*b*c^3*d^2*e^3 + 450*a^2*b^2*c^2*d*e^4) + x^8*(15*a^2*c^4*d^5 + 20*a^3*b^3*e^5 + 15*b^4*c^2*d^5 + 10*b^6*d^3*e^2 + 60*a*b^2*c^3*d^5 + 60*a*b^5*d^2*e^3 + 75*a^2*b^4*d*e^4 + 75*a^4*c^2*d*e^4 + 200*a^3*c^3*d^3*e^2 + 30*a^4*b*c*e^5 + 30*b^5*c*d^4*e + 900*a^2*b^2*c^2*d^3*e^2 + 300*a*b^3*c^2*d^4*e + 300*a*b^4*c*d^3*e^2 + 300*a^2*b*c^3*d^4*e + 300*a^3*b^2*c*d*e^4 + 600*a^2*b^3*c*d^2*e^3 + 600*a^3*b*c^2*d^2*e^3) + x^9*(15*a^2*b^4*e^5 + 15*a^4*c^2*e^5 + 20*b^3*c^3*d^5 + 10*b^6*d^2*e^3 + 60*a^3*b^2*c*e^5 + 75*a^2*c^4*d^4*e + 75*b^4*c^2*d^4*e + 60*b^5*c*d^3*e^2 + 200*a^3*c^3*d^2*e^3 + 30*a*b*c^4*d^5 + 30*a*b^5*d*e^4 + 900*a^2*b^2*c^2*d^2*e^3 + 300*a*b^2*c^3*d^4*e + 300*a*b^4*c*d^2*e^3 + 300*a^2*b^3*c*d*e^4 + 300*a^3*b*c^2*d*e^4 + 600*a*b^3*c^2*d^3*e^2 + 600*a^2*b*c^3*d^3*e^2) + x^4*(5*a^6*d*e^4 + 15*a^2*b^4*d^5 + 15*a^4*c^2*d^5 + 60*a^3*b^2*c*d^5 + 100*a^3*b^3*d^4*e + 60*a^5*b*d^2*e^3 + 60*a^5*c*d^3*e^2 + 150*a^4*b^2*d^3*e^2 + 150*a^4*b*c*d^4*e) + x^13*(5*c^6*d^4*e + 15*a^2*c^4*e^5 + 15*b^4*c^2*e^5 + 60*a*b^2*c^3*e^5 + 60*a*c^5*d^2*e^3 + 60*b*c^5*d^3*e^2 + 100*b^3*c^3*d*e^4 + 150*b^2*c^4*d^2*e^3 + 150*a*b*c^4*d*e^4) + c^6*e^5*x^17 + a^5*d^4*x*(5*a*e + 6*b*d) + 5*c^3*e^2*x^14*(4*b^3*e^3 + 2*c^3*d^3 + 6*a*b*c*e^3 + 6*a*c^2*d*e^2 + 12*b*c^2*d^2*e + 15*b^2*c*d*e^2) + c^5*e^4*x^16*(6*b*e + 5*c*d) + a^4*d^3*x^2*(10*a^2*e^2 + 15*b^2*d^2 + 6*a*c*d^2 + 30*a*b*d*e) + c^4*e^3*x^15*(15*b^2*e^2 + 10*c^2*d^2 + 6*a*c*e^2 + 30*b*c*d*e)","B"
279,1,18,26,0.051044,"\text{Not used}","int((x^2 + x^3)/(x + x^2 - 2),x)","\frac{2\,\ln\left(x-1\right)}{3}+\frac{4\,\ln\left(x+2\right)}{3}+\frac{x^2}{2}","Not used",1,"(2*log(x - 1))/3 + (4*log(x + 2))/3 + x^2/2","B"
280,0,-1,346,0.000000,"\text{Not used}","int((x^2*(d + e*x + f*x^2 + g*x^3))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{x^2\,\left(g\,x^3+f\,x^2+e\,x+d\right)}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((x^2*(d + e*x + f*x^2 + g*x^3))/(a + b*x + c*x^2)^(1/2), x)","F"
281,0,-1,245,0.000000,"\text{Not used}","int((x*(d + e*x + f*x^2 + g*x^3))/(a + b*x + c*x^2)^(1/2),x)","\int \frac{x\,\left(g\,x^3+f\,x^2+e\,x+d\right)}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((x*(d + e*x + f*x^2 + g*x^3))/(a + b*x + c*x^2)^(1/2), x)","F"
282,0,-1,177,0.000000,"\text{Not used}","int((d + e*x + f*x^2 + g*x^3)/(a + b*x + c*x^2)^(1/2),x)","\int \frac{g\,x^3+f\,x^2+e\,x+d}{\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((d + e*x + f*x^2 + g*x^3)/(a + b*x + c*x^2)^(1/2), x)","F"
283,0,-1,155,0.000000,"\text{Not used}","int((d + e*x + f*x^2 + g*x^3)/(x*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{g\,x^3+f\,x^2+e\,x+d}{x\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((d + e*x + f*x^2 + g*x^3)/(x*(a + b*x + c*x^2)^(1/2)), x)","F"
284,1,166,139,4.460221,"\text{Not used}","int((d + e*x + f*x^2 + g*x^3)/(x^2*(a + b*x + c*x^2)^(1/2)),x)","\frac{g\,\sqrt{c\,x^2+b\,x+a}}{c}-\frac{e\,\ln\left(\frac{b}{2}+\frac{a}{x}+\frac{\sqrt{a}\,\sqrt{c\,x^2+b\,x+a}}{x}\right)}{\sqrt{a}}+\frac{f\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{\sqrt{c}}-\frac{b\,g\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x+a}\right)}{2\,c^{3/2}}-\frac{d\,\sqrt{c\,x^2+b\,x+a}}{a\,x}+\frac{b\,d\,\mathrm{atanh}\left(\frac{a+\frac{b\,x}{2}}{\sqrt{a}\,\sqrt{c\,x^2+b\,x+a}}\right)}{2\,a^{3/2}}","Not used",1,"(g*(a + b*x + c*x^2)^(1/2))/c - (e*log(b/2 + a/x + (a^(1/2)*(a + b*x + c*x^2)^(1/2))/x))/a^(1/2) + (f*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/c^(1/2) - (b*g*log((b/2 + c*x)/c^(1/2) + (a + b*x + c*x^2)^(1/2)))/(2*c^(3/2)) - (d*(a + b*x + c*x^2)^(1/2))/(a*x) + (b*d*atanh((a + (b*x)/2)/(a^(1/2)*(a + b*x + c*x^2)^(1/2))))/(2*a^(3/2))","B"
285,0,-1,159,0.000000,"\text{Not used}","int((d + e*x + f*x^2 + g*x^3)/(x^3*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{g\,x^3+f\,x^2+e\,x+d}{x^3\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((d + e*x + f*x^2 + g*x^3)/(x^3*(a + b*x + c*x^2)^(1/2)), x)","F"
286,0,-1,186,0.000000,"\text{Not used}","int((d + e*x + f*x^2 + g*x^3)/(x^4*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{g\,x^3+f\,x^2+e\,x+d}{x^4\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((d + e*x + f*x^2 + g*x^3)/(x^4*(a + b*x + c*x^2)^(1/2)), x)","F"
287,0,-1,270,0.000000,"\text{Not used}","int((d + e*x + f*x^2 + g*x^3)/(x^5*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{g\,x^3+f\,x^2+e\,x+d}{x^5\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((d + e*x + f*x^2 + g*x^3)/(x^5*(a + b*x + c*x^2)^(1/2)), x)","F"
288,0,-1,371,0.000000,"\text{Not used}","int((d + e*x + f*x^2 + g*x^3)/(x^6*(a + b*x + c*x^2)^(1/2)),x)","\int \frac{g\,x^3+f\,x^2+e\,x+d}{x^6\,\sqrt{c\,x^2+b\,x+a}} \,d x","Not used",1,"int((d + e*x + f*x^2 + g*x^3)/(x^6*(a + b*x + c*x^2)^(1/2)), x)","F"
289,1,196,258,4.204325,"\text{Not used}","int((d + e*x)^3*(2*x + 5*x^2 + 3)*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2),x)","6\,d^3\,x+x^8\,\left(\frac{15\,d^2\,e}{2}-\frac{51\,d\,e^2}{8}+\frac{17\,e^3}{8}\right)-x^6\,\left(\frac{17\,d^3}{6}-\frac{17\,d^2\,e}{2}+2\,d\,e^2-\frac{7\,e^3}{2}\right)+x^4\,\left(-d^3+\frac{63\,d^2\,e}{4}+\frac{21\,d\,e^2}{4}+\frac{3\,e^3}{2}\right)+x^5\,\left(\frac{17\,d^3}{5}-\frac{12\,d^2\,e}{5}+\frac{63\,d\,e^2}{5}+\frac{7\,e^3}{5}\right)+x^7\,\left(\frac{20\,d^3}{7}-\frac{51\,d^2\,e}{7}+\frac{51\,d\,e^2}{7}-\frac{4\,e^3}{7}\right)+2\,e^3\,x^{10}+d\,x^3\,\left(7\,d^2+7\,d\,e+6\,e^2\right)+\frac{d^2\,x^2\,\left(7\,d+18\,e\right)}{2}+\frac{e^2\,x^9\,\left(60\,d-17\,e\right)}{9}","Not used",1,"6*d^3*x + x^8*((15*d^2*e)/2 - (51*d*e^2)/8 + (17*e^3)/8) - x^6*(2*d*e^2 - (17*d^2*e)/2 + (17*d^3)/6 - (7*e^3)/2) + x^4*((21*d*e^2)/4 + (63*d^2*e)/4 - d^3 + (3*e^3)/2) + x^5*((63*d*e^2)/5 - (12*d^2*e)/5 + (17*d^3)/5 + (7*e^3)/5) + x^7*((51*d*e^2)/7 - (51*d^2*e)/7 + (20*d^3)/7 - (4*e^3)/7) + 2*e^3*x^10 + d*x^3*(7*d*e + 7*d^2 + 6*e^2) + (d^2*x^2*(7*d + 18*e))/2 + (e^2*x^9*(60*d - 17*e))/9","B"
290,1,137,157,4.107563,"\text{Not used}","int((d + e*x)^2*(2*x + 5*x^2 + 3)*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2),x)","x^3\,\left(7\,d^2+\frac{14\,d\,e}{3}+2\,e^2\right)+x^4\,\left(-d^2+\frac{21\,d\,e}{2}+\frac{7\,e^2}{4}\right)-x^6\,\left(\frac{17\,d^2}{6}-\frac{17\,d\,e}{3}+\frac{2\,e^2}{3}\right)+x^5\,\left(\frac{17\,d^2}{5}-\frac{8\,d\,e}{5}+\frac{21\,e^2}{5}\right)+x^7\,\left(\frac{20\,d^2}{7}-\frac{34\,d\,e}{7}+\frac{17\,e^2}{7}\right)+6\,d^2\,x+\frac{20\,e^2\,x^9}{9}+\frac{d\,x^2\,\left(7\,d+12\,e\right)}{2}+\frac{e\,x^8\,\left(40\,d-17\,e\right)}{8}","Not used",1,"x^3*((14*d*e)/3 + 7*d^2 + 2*e^2) + x^4*((21*d*e)/2 - d^2 + (7*e^2)/4) - x^6*((17*d^2)/6 - (17*d*e)/3 + (2*e^2)/3) + x^5*((17*d^2)/5 - (8*d*e)/5 + (21*e^2)/5) + x^7*((20*d^2)/7 - (34*d*e)/7 + (17*e^2)/7) + 6*d^2*x + (20*e^2*x^9)/9 + (d*x^2*(7*d + 12*e))/2 + (e*x^8*(40*d - 17*e))/8","B"
291,1,77,93,0.047402,"\text{Not used}","int((d + e*x)*(2*x + 5*x^2 + 3)*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2),x)","\frac{5\,e\,x^8}{2}+\left(\frac{20\,d}{7}-\frac{17\,e}{7}\right)\,x^7+\left(\frac{17\,e}{6}-\frac{17\,d}{6}\right)\,x^6+\left(\frac{17\,d}{5}-\frac{4\,e}{5}\right)\,x^5+\left(\frac{21\,e}{4}-d\right)\,x^4+\left(7\,d+\frac{7\,e}{3}\right)\,x^3+\left(\frac{7\,d}{2}+3\,e\right)\,x^2+6\,d\,x","Not used",1,"x^2*((7*d)/2 + 3*e) + x^3*(7*d + (7*e)/3) + x^5*((17*d)/5 - (4*e)/5) - x^6*((17*d)/6 - (17*e)/6) + x^7*((20*d)/7 - (17*e)/7) + 6*d*x + (5*e*x^8)/2 - x^4*(d - (21*e)/4)","B"
292,1,34,42,0.025814,"\text{Not used}","int((2*x + 5*x^2 + 3)*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2),x)","\frac{20\,x^7}{7}-\frac{17\,x^6}{6}+\frac{17\,x^5}{5}-x^4+7\,x^3+\frac{7\,x^2}{2}+6\,x","Not used",1,"6*x + (7*x^2)/2 + 7*x^3 - x^4 + (17*x^5)/5 - (17*x^6)/6 + (20*x^7)/7","B"
293,1,260,228,4.139194,"\text{Not used}","int(((2*x + 5*x^2 + 3)*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(d + e*x),x)","x\,\left(\frac{7}{e}-\frac{d\,\left(\frac{21}{e}+\frac{d\,\left(\frac{4}{e}+\frac{d\,\left(\frac{17}{e}+\frac{d\,\left(\frac{20\,d}{e^2}+\frac{17}{e}\right)}{e}\right)}{e}\right)}{e}\right)}{e}\right)-x^5\,\left(\frac{4\,d}{e^2}+\frac{17}{5\,e}\right)+x^4\,\left(\frac{17}{4\,e}+\frac{d\,\left(\frac{20\,d}{e^2}+\frac{17}{e}\right)}{4\,e}\right)-x^3\,\left(\frac{4}{3\,e}+\frac{d\,\left(\frac{17}{e}+\frac{d\,\left(\frac{20\,d}{e^2}+\frac{17}{e}\right)}{e}\right)}{3\,e}\right)+x^2\,\left(\frac{21}{2\,e}+\frac{d\,\left(\frac{4}{e}+\frac{d\,\left(\frac{17}{e}+\frac{d\,\left(\frac{20\,d}{e^2}+\frac{17}{e}\right)}{e}\right)}{e}\right)}{2\,e}\right)+\frac{10\,x^6}{3\,e}+\frac{\ln\left(d+e\,x\right)\,\left(20\,d^6+17\,d^5\,e+17\,d^4\,e^2+4\,d^3\,e^3+21\,d^2\,e^4-7\,d\,e^5+6\,e^6\right)}{e^7}","Not used",1,"x*(7/e - (d*(21/e + (d*(4/e + (d*(17/e + (d*((20*d)/e^2 + 17/e))/e))/e))/e))/e) - x^5*((4*d)/e^2 + 17/(5*e)) + x^4*(17/(4*e) + (d*((20*d)/e^2 + 17/e))/(4*e)) - x^3*(4/(3*e) + (d*(17/e + (d*((20*d)/e^2 + 17/e))/e))/(3*e)) + x^2*(21/(2*e) + (d*(4/e + (d*(17/e + (d*((20*d)/e^2 + 17/e))/e))/e))/(2*e)) + (10*x^6)/(3*e) + (log(d + e*x)*(17*d^5*e - 7*d*e^5 + 20*d^6 + 6*e^6 + 21*d^2*e^4 + 4*d^3*e^3 + 17*d^4*e^2))/e^7","B"
294,1,363,228,4.181494,"\text{Not used}","int(((2*x + 5*x^2 + 3)*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(d + e*x)^2,x)","x^3\,\left(\frac{17}{3\,e^2}-\frac{20\,d^2}{3\,e^4}+\frac{2\,d\,\left(\frac{40\,d}{e^3}+\frac{17}{e^2}\right)}{3\,e}\right)-x^2\,\left(\frac{2}{e^2}+\frac{d\,\left(\frac{17}{e^2}-\frac{20\,d^2}{e^4}+\frac{2\,d\,\left(\frac{40\,d}{e^3}+\frac{17}{e^2}\right)}{e}\right)}{e}-\frac{d^2\,\left(\frac{40\,d}{e^3}+\frac{17}{e^2}\right)}{2\,e^2}\right)-x^4\,\left(\frac{10\,d}{e^3}+\frac{17}{4\,e^2}\right)+x\,\left(\frac{21}{e^2}+\frac{2\,d\,\left(\frac{4}{e^2}+\frac{2\,d\,\left(\frac{17}{e^2}-\frac{20\,d^2}{e^4}+\frac{2\,d\,\left(\frac{40\,d}{e^3}+\frac{17}{e^2}\right)}{e}\right)}{e}-\frac{d^2\,\left(\frac{40\,d}{e^3}+\frac{17}{e^2}\right)}{e^2}\right)}{e}-\frac{d^2\,\left(\frac{17}{e^2}-\frac{20\,d^2}{e^4}+\frac{2\,d\,\left(\frac{40\,d}{e^3}+\frac{17}{e^2}\right)}{e}\right)}{e^2}\right)+\frac{4\,x^5}{e^2}-\frac{\ln\left(d+e\,x\right)\,\left(120\,d^5+85\,d^4\,e+68\,d^3\,e^2+12\,d^2\,e^3+42\,d\,e^4-7\,e^5\right)}{e^7}-\frac{20\,d^6+17\,d^5\,e+17\,d^4\,e^2+4\,d^3\,e^3+21\,d^2\,e^4-7\,d\,e^5+6\,e^6}{e\,\left(x\,e^7+d\,e^6\right)}","Not used",1,"x^3*(17/(3*e^2) - (20*d^2)/(3*e^4) + (2*d*((40*d)/e^3 + 17/e^2))/(3*e)) - x^2*(2/e^2 + (d*(17/e^2 - (20*d^2)/e^4 + (2*d*((40*d)/e^3 + 17/e^2))/e))/e - (d^2*((40*d)/e^3 + 17/e^2))/(2*e^2)) - x^4*((10*d)/e^3 + 17/(4*e^2)) + x*(21/e^2 + (2*d*(4/e^2 + (2*d*(17/e^2 - (20*d^2)/e^4 + (2*d*((40*d)/e^3 + 17/e^2))/e))/e - (d^2*((40*d)/e^3 + 17/e^2))/e^2))/e - (d^2*(17/e^2 - (20*d^2)/e^4 + (2*d*((40*d)/e^3 + 17/e^2))/e))/e^2) + (4*x^5)/e^2 - (log(d + e*x)*(42*d*e^4 + 85*d^4*e + 120*d^5 - 7*e^5 + 12*d^2*e^3 + 68*d^3*e^2))/e^7 - (17*d^5*e - 7*d*e^5 + 20*d^6 + 6*e^6 + 21*d^2*e^4 + 4*d^3*e^3 + 17*d^4*e^2)/(e*(d*e^6 + e^7*x))","B"
295,1,297,231,0.091903,"\text{Not used}","int(((2*x + 5*x^2 + 3)*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(d + e*x)^3,x)","x^2\,\left(\frac{17}{2\,e^3}-\frac{30\,d^2}{e^5}+\frac{3\,d\,\left(\frac{60\,d}{e^4}+\frac{17}{e^3}\right)}{2\,e}\right)-x^3\,\left(\frac{20\,d}{e^4}+\frac{17}{3\,e^3}\right)+\frac{x\,\left(120\,d^5+85\,d^4\,e+68\,d^3\,e^2+12\,d^2\,e^3+42\,d\,e^4-7\,e^5\right)+\frac{220\,d^6+153\,d^5\,e+119\,d^4\,e^2+20\,d^3\,e^3+63\,d^2\,e^4-7\,d\,e^5-6\,e^6}{2\,e}}{d^2\,e^6+2\,d\,e^7\,x+e^8\,x^2}-x\,\left(\frac{4}{e^3}+\frac{20\,d^3}{e^6}+\frac{3\,d\,\left(\frac{17}{e^3}-\frac{60\,d^2}{e^5}+\frac{3\,d\,\left(\frac{60\,d}{e^4}+\frac{17}{e^3}\right)}{e}\right)}{e}-\frac{3\,d^2\,\left(\frac{60\,d}{e^4}+\frac{17}{e^3}\right)}{e^2}\right)+\frac{5\,x^4}{e^3}+\frac{\ln\left(d+e\,x\right)\,\left(300\,d^4+170\,d^3\,e+102\,d^2\,e^2+12\,d\,e^3+21\,e^4\right)}{e^7}","Not used",1,"x^2*(17/(2*e^3) - (30*d^2)/e^5 + (3*d*((60*d)/e^4 + 17/e^3))/(2*e)) - x^3*((20*d)/e^4 + 17/(3*e^3)) + (x*(42*d*e^4 + 85*d^4*e + 120*d^5 - 7*e^5 + 12*d^2*e^3 + 68*d^3*e^2) + (153*d^5*e - 7*d*e^5 + 220*d^6 - 6*e^6 + 63*d^2*e^4 + 20*d^3*e^3 + 119*d^4*e^2)/(2*e))/(d^2*e^6 + e^8*x^2 + 2*d*e^7*x) - x*(4/e^3 + (20*d^3)/e^6 + (3*d*(17/e^3 - (60*d^2)/e^5 + (3*d*((60*d)/e^4 + 17/e^3))/e))/e - (3*d^2*((60*d)/e^4 + 17/e^3))/e^2) + (5*x^4)/e^3 + (log(d + e*x)*(12*d*e^3 + 170*d^3*e + 300*d^4 + 21*e^4 + 102*d^2*e^2))/e^7","B"
296,1,251,391,4.247458,"\text{Not used}","int((d + e*x)^3*(2*x + 5*x^2 + 3)^2*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2),x)","18\,d^3\,x+x^3\,\left(\frac{107\,d^3}{3}+33\,d^2\,e+18\,d\,e^2\right)+x^9\,\left(\frac{100\,d^3}{9}-15\,d^2\,e+37\,d\,e^2-\frac{37\,e^3}{9}\right)+x^6\,\left(-\frac{37\,d^3}{6}+74\,d^2\,e+\frac{65\,d\,e^2}{2}+\frac{107\,e^3}{6}\right)+x^4\,\left(\frac{65\,d^3}{4}+\frac{321\,d^2\,e}{4}+\frac{99\,d\,e^2}{4}+\frac{9\,e^3}{2}\right)-x^8\,\left(\frac{45\,d^3}{8}-\frac{333\,d^2\,e}{8}+\frac{111\,d\,e^2}{8}-\frac{37\,e^3}{2}\right)+x^5\,\left(\frac{148\,d^3}{5}+39\,d^2\,e+\frac{321\,d\,e^2}{5}+\frac{33\,e^3}{5}\right)+x^7\,\left(\frac{111\,d^3}{7}-\frac{111\,d^2\,e}{7}+\frac{444\,d\,e^2}{7}+\frac{65\,e^3}{7}\right)+\frac{25\,e^3\,x^{12}}{3}+\frac{3\,e\,x^{10}\,\left(100\,d^2-45\,d\,e+37\,e^2\right)}{10}+\frac{3\,d^2\,x^2\,\left(11\,d+18\,e\right)}{2}+\frac{15\,e^2\,x^{11}\,\left(20\,d-3\,e\right)}{11}","Not used",1,"18*d^3*x + x^3*(18*d*e^2 + 33*d^2*e + (107*d^3)/3) + x^9*(37*d*e^2 - 15*d^2*e + (100*d^3)/9 - (37*e^3)/9) + x^6*((65*d*e^2)/2 + 74*d^2*e - (37*d^3)/6 + (107*e^3)/6) + x^4*((99*d*e^2)/4 + (321*d^2*e)/4 + (65*d^3)/4 + (9*e^3)/2) - x^8*((111*d*e^2)/8 - (333*d^2*e)/8 + (45*d^3)/8 - (37*e^3)/2) + x^5*((321*d*e^2)/5 + 39*d^2*e + (148*d^3)/5 + (33*e^3)/5) + x^7*((444*d*e^2)/7 - (111*d^2*e)/7 + (111*d^3)/7 + (65*e^3)/7) + (25*e^3*x^12)/3 + (3*e*x^10*(100*d^2 - 45*d*e + 37*e^2))/10 + (3*d^2*x^2*(11*d + 18*e))/2 + (15*e^2*x^11*(20*d - 3*e))/11","B"
297,1,175,201,0.107556,"\text{Not used}","int((d + e*x)^2*(2*x + 5*x^2 + 3)^2*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2),x)","x^3\,\left(\frac{107\,d^2}{3}+22\,d\,e+6\,e^2\right)+x^9\,\left(\frac{100\,d^2}{9}-10\,d\,e+\frac{37\,e^2}{3}\right)+x^4\,\left(\frac{65\,d^2}{4}+\frac{107\,d\,e}{2}+\frac{33\,e^2}{4}\right)-x^8\,\left(\frac{45\,d^2}{8}-\frac{111\,d\,e}{4}+\frac{37\,e^2}{8}\right)+x^6\,\left(-\frac{37\,d^2}{6}+\frac{148\,d\,e}{3}+\frac{65\,e^2}{6}\right)+x^5\,\left(\frac{148\,d^2}{5}+26\,d\,e+\frac{107\,e^2}{5}\right)+x^7\,\left(\frac{111\,d^2}{7}-\frac{74\,d\,e}{7}+\frac{148\,e^2}{7}\right)+18\,d^2\,x+\frac{100\,e^2\,x^{11}}{11}+\frac{3\,d\,x^2\,\left(11\,d+12\,e\right)}{2}+\frac{e\,x^{10}\,\left(40\,d-9\,e\right)}{2}","Not used",1,"x^3*(22*d*e + (107*d^2)/3 + 6*e^2) + x^9*((100*d^2)/9 - 10*d*e + (37*e^2)/3) + x^4*((107*d*e)/2 + (65*d^2)/4 + (33*e^2)/4) - x^8*((45*d^2)/8 - (111*d*e)/4 + (37*e^2)/8) + x^6*((148*d*e)/3 - (37*d^2)/6 + (65*e^2)/6) + x^5*(26*d*e + (148*d^2)/5 + (107*e^2)/5) + x^7*((111*d^2)/7 - (74*d*e)/7 + (148*e^2)/7) + 18*d^2*x + (100*e^2*x^11)/11 + (3*d*x^2*(11*d + 12*e))/2 + (e*x^10*(40*d - 9*e))/2","B"
298,1,101,121,4.172956,"\text{Not used}","int((d + e*x)*(2*x + 5*x^2 + 3)^2*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2),x)","10\,e\,x^{10}+\left(\frac{100\,d}{9}-5\,e\right)\,x^9+\left(\frac{111\,e}{8}-\frac{45\,d}{8}\right)\,x^8+\left(\frac{111\,d}{7}-\frac{37\,e}{7}\right)\,x^7+\left(\frac{74\,e}{3}-\frac{37\,d}{6}\right)\,x^6+\left(\frac{148\,d}{5}+13\,e\right)\,x^5+\left(\frac{65\,d}{4}+\frac{107\,e}{4}\right)\,x^4+\left(\frac{107\,d}{3}+11\,e\right)\,x^3+\left(\frac{33\,d}{2}+9\,e\right)\,x^2+18\,d\,x","Not used",1,"x^2*((33*d)/2 + 9*e) + x^9*((100*d)/9 - 5*e) + x^3*((107*d)/3 + 11*e) - x^6*((37*d)/6 - (74*e)/3) + x^7*((111*d)/7 - (37*e)/7) + x^5*((148*d)/5 + 13*e) - x^8*((45*d)/8 - (111*e)/8) + x^4*((65*d)/4 + (107*e)/4) + 18*d*x + 10*e*x^10","B"
299,1,44,60,0.034731,"\text{Not used}","int((2*x + 5*x^2 + 3)^2*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2),x)","\frac{100\,x^9}{9}-\frac{45\,x^8}{8}+\frac{111\,x^7}{7}-\frac{37\,x^6}{6}+\frac{148\,x^5}{5}+\frac{65\,x^4}{4}+\frac{107\,x^3}{3}+\frac{33\,x^2}{2}+18\,x","Not used",1,"18*x + (33*x^2)/2 + (107*x^3)/3 + (65*x^4)/4 + (148*x^5)/5 - (37*x^6)/6 + (111*x^7)/7 - (45*x^8)/8 + (100*x^9)/9","B"
300,1,434,352,0.079330,"\text{Not used}","int(((2*x + 5*x^2 + 3)^2*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(d + e*x),x)","x\,\left(\frac{33}{e}-\frac{d\,\left(\frac{107}{e}-\frac{d\,\left(\frac{65}{e}-\frac{d\,\left(\frac{148}{e}+\frac{d\,\left(\frac{37}{e}+\frac{d\,\left(\frac{111}{e}+\frac{d\,\left(\frac{100\,d}{e^2}+\frac{45}{e}\right)}{e}\right)}{e}\right)}{e}\right)}{e}\right)}{e}\right)}{e}\right)-x^7\,\left(\frac{100\,d}{7\,e^2}+\frac{45}{7\,e}\right)+x^6\,\left(\frac{37}{2\,e}+\frac{d\,\left(\frac{100\,d}{e^2}+\frac{45}{e}\right)}{6\,e}\right)-x^5\,\left(\frac{37}{5\,e}+\frac{d\,\left(\frac{111}{e}+\frac{d\,\left(\frac{100\,d}{e^2}+\frac{45}{e}\right)}{e}\right)}{5\,e}\right)+x^4\,\left(\frac{37}{e}+\frac{d\,\left(\frac{37}{e}+\frac{d\,\left(\frac{111}{e}+\frac{d\,\left(\frac{100\,d}{e^2}+\frac{45}{e}\right)}{e}\right)}{e}\right)}{4\,e}\right)+x^3\,\left(\frac{65}{3\,e}-\frac{d\,\left(\frac{148}{e}+\frac{d\,\left(\frac{37}{e}+\frac{d\,\left(\frac{111}{e}+\frac{d\,\left(\frac{100\,d}{e^2}+\frac{45}{e}\right)}{e}\right)}{e}\right)}{e}\right)}{3\,e}\right)+x^2\,\left(\frac{107}{2\,e}-\frac{d\,\left(\frac{65}{e}-\frac{d\,\left(\frac{148}{e}+\frac{d\,\left(\frac{37}{e}+\frac{d\,\left(\frac{111}{e}+\frac{d\,\left(\frac{100\,d}{e^2}+\frac{45}{e}\right)}{e}\right)}{e}\right)}{e}\right)}{e}\right)}{2\,e}\right)+\frac{25\,x^8}{2\,e}+\frac{\ln\left(d+e\,x\right)\,\left(100\,d^8+45\,d^7\,e+111\,d^6\,e^2+37\,d^5\,e^3+148\,d^4\,e^4-65\,d^3\,e^5+107\,d^2\,e^6-33\,d\,e^7+18\,e^8\right)}{e^9}","Not used",1,"x*(33/e - (d*(107/e - (d*(65/e - (d*(148/e + (d*(37/e + (d*(111/e + (d*((100*d)/e^2 + 45/e))/e))/e))/e))/e))/e))/e) - x^7*((100*d)/(7*e^2) + 45/(7*e)) + x^6*(37/(2*e) + (d*((100*d)/e^2 + 45/e))/(6*e)) - x^5*(37/(5*e) + (d*(111/e + (d*((100*d)/e^2 + 45/e))/e))/(5*e)) + x^4*(37/e + (d*(37/e + (d*(111/e + (d*((100*d)/e^2 + 45/e))/e))/e))/(4*e)) + x^3*(65/(3*e) - (d*(148/e + (d*(37/e + (d*(111/e + (d*((100*d)/e^2 + 45/e))/e))/e))/e))/(3*e)) + x^2*(107/(2*e) - (d*(65/e - (d*(148/e + (d*(37/e + (d*(111/e + (d*((100*d)/e^2 + 45/e))/e))/e))/e))/e))/(2*e)) + (25*x^8)/(2*e) + (log(d + e*x)*(45*d^7*e - 33*d*e^7 + 100*d^8 + 18*e^8 + 107*d^2*e^6 - 65*d^3*e^5 + 148*d^4*e^4 + 37*d^5*e^3 + 111*d^6*e^2))/e^9","B"
301,1,939,353,4.217130,"\text{Not used}","int(((2*x + 5*x^2 + 3)^2*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(d + e*x)^2,x)","x^2\,\left(\frac{65}{2\,e^2}-\frac{d\,\left(\frac{148}{e^2}+\frac{2\,d\,\left(\frac{37}{e^2}+\frac{2\,d\,\left(\frac{111}{e^2}-\frac{100\,d^2}{e^4}+\frac{2\,d\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e}\right)}{e}-\frac{d^2\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e^2}\right)}{e}-\frac{d^2\,\left(\frac{111}{e^2}-\frac{100\,d^2}{e^4}+\frac{2\,d\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e}\right)}{e^2}\right)}{e}+\frac{d^2\,\left(\frac{37}{e^2}+\frac{2\,d\,\left(\frac{111}{e^2}-\frac{100\,d^2}{e^4}+\frac{2\,d\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e}\right)}{e}-\frac{d^2\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e^2}\right)}{2\,e^2}\right)+x^3\,\left(\frac{148}{3\,e^2}+\frac{2\,d\,\left(\frac{37}{e^2}+\frac{2\,d\,\left(\frac{111}{e^2}-\frac{100\,d^2}{e^4}+\frac{2\,d\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e}\right)}{e}-\frac{d^2\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e^2}\right)}{3\,e}-\frac{d^2\,\left(\frac{111}{e^2}-\frac{100\,d^2}{e^4}+\frac{2\,d\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e}\right)}{3\,e^2}\right)-x^4\,\left(\frac{37}{4\,e^2}+\frac{d\,\left(\frac{111}{e^2}-\frac{100\,d^2}{e^4}+\frac{2\,d\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e}\right)}{2\,e}-\frac{d^2\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{4\,e^2}\right)+x^5\,\left(\frac{111}{5\,e^2}-\frac{20\,d^2}{e^4}+\frac{2\,d\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{5\,e}\right)-x^6\,\left(\frac{100\,d}{3\,e^3}+\frac{15}{2\,e^2}\right)-x\,\left(\frac{2\,d\,\left(\frac{65}{e^2}-\frac{2\,d\,\left(\frac{148}{e^2}+\frac{2\,d\,\left(\frac{37}{e^2}+\frac{2\,d\,\left(\frac{111}{e^2}-\frac{100\,d^2}{e^4}+\frac{2\,d\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e}\right)}{e}-\frac{d^2\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e^2}\right)}{e}-\frac{d^2\,\left(\frac{111}{e^2}-\frac{100\,d^2}{e^4}+\frac{2\,d\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e}\right)}{e^2}\right)}{e}+\frac{d^2\,\left(\frac{37}{e^2}+\frac{2\,d\,\left(\frac{111}{e^2}-\frac{100\,d^2}{e^4}+\frac{2\,d\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e}\right)}{e}-\frac{d^2\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e^2}\right)}{e^2}\right)}{e}-\frac{107}{e^2}+\frac{d^2\,\left(\frac{148}{e^2}+\frac{2\,d\,\left(\frac{37}{e^2}+\frac{2\,d\,\left(\frac{111}{e^2}-\frac{100\,d^2}{e^4}+\frac{2\,d\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e}\right)}{e}-\frac{d^2\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e^2}\right)}{e}-\frac{d^2\,\left(\frac{111}{e^2}-\frac{100\,d^2}{e^4}+\frac{2\,d\,\left(\frac{200\,d}{e^3}+\frac{45}{e^2}\right)}{e}\right)}{e^2}\right)}{e^2}\right)+\frac{100\,x^7}{7\,e^2}-\frac{100\,d^8+45\,d^7\,e+111\,d^6\,e^2+37\,d^5\,e^3+148\,d^4\,e^4-65\,d^3\,e^5+107\,d^2\,e^6-33\,d\,e^7+18\,e^8}{e\,\left(x\,e^9+d\,e^8\right)}-\frac{\ln\left(d+e\,x\right)\,\left(800\,d^7+315\,d^6\,e+666\,d^5\,e^2+185\,d^4\,e^3+592\,d^3\,e^4-195\,d^2\,e^5+214\,d\,e^6-33\,e^7\right)}{e^9}","Not used",1,"x^2*(65/(2*e^2) - (d*(148/e^2 + (2*d*(37/e^2 + (2*d*(111/e^2 - (100*d^2)/e^4 + (2*d*((200*d)/e^3 + 45/e^2))/e))/e - (d^2*((200*d)/e^3 + 45/e^2))/e^2))/e - (d^2*(111/e^2 - (100*d^2)/e^4 + (2*d*((200*d)/e^3 + 45/e^2))/e))/e^2))/e + (d^2*(37/e^2 + (2*d*(111/e^2 - (100*d^2)/e^4 + (2*d*((200*d)/e^3 + 45/e^2))/e))/e - (d^2*((200*d)/e^3 + 45/e^2))/e^2))/(2*e^2)) + x^3*(148/(3*e^2) + (2*d*(37/e^2 + (2*d*(111/e^2 - (100*d^2)/e^4 + (2*d*((200*d)/e^3 + 45/e^2))/e))/e - (d^2*((200*d)/e^3 + 45/e^2))/e^2))/(3*e) - (d^2*(111/e^2 - (100*d^2)/e^4 + (2*d*((200*d)/e^3 + 45/e^2))/e))/(3*e^2)) - x^4*(37/(4*e^2) + (d*(111/e^2 - (100*d^2)/e^4 + (2*d*((200*d)/e^3 + 45/e^2))/e))/(2*e) - (d^2*((200*d)/e^3 + 45/e^2))/(4*e^2)) + x^5*(111/(5*e^2) - (20*d^2)/e^4 + (2*d*((200*d)/e^3 + 45/e^2))/(5*e)) - x^6*((100*d)/(3*e^3) + 15/(2*e^2)) - x*((2*d*(65/e^2 - (2*d*(148/e^2 + (2*d*(37/e^2 + (2*d*(111/e^2 - (100*d^2)/e^4 + (2*d*((200*d)/e^3 + 45/e^2))/e))/e - (d^2*((200*d)/e^3 + 45/e^2))/e^2))/e - (d^2*(111/e^2 - (100*d^2)/e^4 + (2*d*((200*d)/e^3 + 45/e^2))/e))/e^2))/e + (d^2*(37/e^2 + (2*d*(111/e^2 - (100*d^2)/e^4 + (2*d*((200*d)/e^3 + 45/e^2))/e))/e - (d^2*((200*d)/e^3 + 45/e^2))/e^2))/e^2))/e - 107/e^2 + (d^2*(148/e^2 + (2*d*(37/e^2 + (2*d*(111/e^2 - (100*d^2)/e^4 + (2*d*((200*d)/e^3 + 45/e^2))/e))/e - (d^2*((200*d)/e^3 + 45/e^2))/e^2))/e - (d^2*(111/e^2 - (100*d^2)/e^4 + (2*d*((200*d)/e^3 + 45/e^2))/e))/e^2))/e^2) + (100*x^7)/(7*e^2) - (45*d^7*e - 33*d*e^7 + 100*d^8 + 18*e^8 + 107*d^2*e^6 - 65*d^3*e^5 + 148*d^4*e^4 + 37*d^5*e^3 + 111*d^6*e^2)/(e*(d*e^8 + e^9*x)) - (log(d + e*x)*(214*d*e^6 + 315*d^6*e + 800*d^7 - 33*e^7 - 195*d^2*e^5 + 592*d^3*e^4 + 185*d^4*e^3 + 666*d^5*e^2))/e^9","B"
302,1,771,354,0.126844,"\text{Not used}","int(((2*x + 5*x^2 + 3)^2*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(d + e*x)^3,x)","x^4\,\left(\frac{111}{4\,e^3}-\frac{75\,d^2}{e^5}+\frac{3\,d\,\left(\frac{300\,d}{e^4}+\frac{45}{e^3}\right)}{4\,e}\right)-x^3\,\left(\frac{37}{3\,e^3}+\frac{100\,d^3}{3\,e^6}+\frac{d\,\left(\frac{111}{e^3}-\frac{300\,d^2}{e^5}+\frac{3\,d\,\left(\frac{300\,d}{e^4}+\frac{45}{e^3}\right)}{e}\right)}{e}-\frac{d^2\,\left(\frac{300\,d}{e^4}+\frac{45}{e^3}\right)}{e^2}\right)-x^5\,\left(\frac{60\,d}{e^4}+\frac{9}{e^3}\right)+x\,\left(\frac{65}{e^3}-\frac{3\,d\,\left(\frac{148}{e^3}+\frac{3\,d\,\left(\frac{37}{e^3}+\frac{100\,d^3}{e^6}+\frac{3\,d\,\left(\frac{111}{e^3}-\frac{300\,d^2}{e^5}+\frac{3\,d\,\left(\frac{300\,d}{e^4}+\frac{45}{e^3}\right)}{e}\right)}{e}-\frac{3\,d^2\,\left(\frac{300\,d}{e^4}+\frac{45}{e^3}\right)}{e^2}\right)}{e}-\frac{3\,d^2\,\left(\frac{111}{e^3}-\frac{300\,d^2}{e^5}+\frac{3\,d\,\left(\frac{300\,d}{e^4}+\frac{45}{e^3}\right)}{e}\right)}{e^2}+\frac{d^3\,\left(\frac{300\,d}{e^4}+\frac{45}{e^3}\right)}{e^3}\right)}{e}+\frac{3\,d^2\,\left(\frac{37}{e^3}+\frac{100\,d^3}{e^6}+\frac{3\,d\,\left(\frac{111}{e^3}-\frac{300\,d^2}{e^5}+\frac{3\,d\,\left(\frac{300\,d}{e^4}+\frac{45}{e^3}\right)}{e}\right)}{e}-\frac{3\,d^2\,\left(\frac{300\,d}{e^4}+\frac{45}{e^3}\right)}{e^2}\right)}{e^2}-\frac{d^3\,\left(\frac{111}{e^3}-\frac{300\,d^2}{e^5}+\frac{3\,d\,\left(\frac{300\,d}{e^4}+\frac{45}{e^3}\right)}{e}\right)}{e^3}\right)+\frac{x\,\left(800\,d^7+315\,d^6\,e+666\,d^5\,e^2+185\,d^4\,e^3+592\,d^3\,e^4-195\,d^2\,e^5+214\,d\,e^6-33\,e^7\right)+\frac{1500\,d^8+585\,d^7\,e+1221\,d^6\,e^2+333\,d^5\,e^3+1036\,d^4\,e^4-325\,d^3\,e^5+321\,d^2\,e^6-33\,d\,e^7-18\,e^8}{2\,e}}{d^2\,e^8+2\,d\,e^9\,x+e^{10}\,x^2}+\frac{50\,x^6}{3\,e^3}+x^2\,\left(\frac{74}{e^3}+\frac{3\,d\,\left(\frac{37}{e^3}+\frac{100\,d^3}{e^6}+\frac{3\,d\,\left(\frac{111}{e^3}-\frac{300\,d^2}{e^5}+\frac{3\,d\,\left(\frac{300\,d}{e^4}+\frac{45}{e^3}\right)}{e}\right)}{e}-\frac{3\,d^2\,\left(\frac{300\,d}{e^4}+\frac{45}{e^3}\right)}{e^2}\right)}{2\,e}-\frac{3\,d^2\,\left(\frac{111}{e^3}-\frac{300\,d^2}{e^5}+\frac{3\,d\,\left(\frac{300\,d}{e^4}+\frac{45}{e^3}\right)}{e}\right)}{2\,e^2}+\frac{d^3\,\left(\frac{300\,d}{e^4}+\frac{45}{e^3}\right)}{2\,e^3}\right)+\frac{\ln\left(d+e\,x\right)\,\left(2800\,d^6+945\,d^5\,e+1665\,d^4\,e^2+370\,d^3\,e^3+888\,d^2\,e^4-195\,d\,e^5+107\,e^6\right)}{e^9}","Not used",1,"x^4*(111/(4*e^3) - (75*d^2)/e^5 + (3*d*((300*d)/e^4 + 45/e^3))/(4*e)) - x^3*(37/(3*e^3) + (100*d^3)/(3*e^6) + (d*(111/e^3 - (300*d^2)/e^5 + (3*d*((300*d)/e^4 + 45/e^3))/e))/e - (d^2*((300*d)/e^4 + 45/e^3))/e^2) - x^5*((60*d)/e^4 + 9/e^3) + x*(65/e^3 - (3*d*(148/e^3 + (3*d*(37/e^3 + (100*d^3)/e^6 + (3*d*(111/e^3 - (300*d^2)/e^5 + (3*d*((300*d)/e^4 + 45/e^3))/e))/e - (3*d^2*((300*d)/e^4 + 45/e^3))/e^2))/e - (3*d^2*(111/e^3 - (300*d^2)/e^5 + (3*d*((300*d)/e^4 + 45/e^3))/e))/e^2 + (d^3*((300*d)/e^4 + 45/e^3))/e^3))/e + (3*d^2*(37/e^3 + (100*d^3)/e^6 + (3*d*(111/e^3 - (300*d^2)/e^5 + (3*d*((300*d)/e^4 + 45/e^3))/e))/e - (3*d^2*((300*d)/e^4 + 45/e^3))/e^2))/e^2 - (d^3*(111/e^3 - (300*d^2)/e^5 + (3*d*((300*d)/e^4 + 45/e^3))/e))/e^3) + (x*(214*d*e^6 + 315*d^6*e + 800*d^7 - 33*e^7 - 195*d^2*e^5 + 592*d^3*e^4 + 185*d^4*e^3 + 666*d^5*e^2) + (585*d^7*e - 33*d*e^7 + 1500*d^8 - 18*e^8 + 321*d^2*e^6 - 325*d^3*e^5 + 1036*d^4*e^4 + 333*d^5*e^3 + 1221*d^6*e^2)/(2*e))/(d^2*e^8 + e^10*x^2 + 2*d*e^9*x) + (50*x^6)/(3*e^3) + x^2*(74/e^3 + (3*d*(37/e^3 + (100*d^3)/e^6 + (3*d*(111/e^3 - (300*d^2)/e^5 + (3*d*((300*d)/e^4 + 45/e^3))/e))/e - (3*d^2*((300*d)/e^4 + 45/e^3))/e^2))/(2*e) - (3*d^2*(111/e^3 - (300*d^2)/e^5 + (3*d*((300*d)/e^4 + 45/e^3))/e))/(2*e^2) + (d^3*((300*d)/e^4 + 45/e^3))/(2*e^3)) + (log(d + e*x)*(945*d^5*e - 195*d*e^5 + 2800*d^6 + 107*e^6 + 888*d^2*e^4 + 370*d^3*e^3 + 1665*d^4*e^2))/e^9","B"
303,1,560,360,4.283900,"\text{Not used}","int(((2*x + 5*x^2 + 3)^2*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(d + e*x)^4,x)","x^3\,\left(\frac{37}{e^4}-\frac{200\,d^2}{e^6}+\frac{4\,d\,\left(\frac{400\,d}{e^5}+\frac{45}{e^4}\right)}{3\,e}\right)-x^2\,\left(\frac{37}{2\,e^4}+\frac{200\,d^3}{e^7}+\frac{2\,d\,\left(\frac{111}{e^4}-\frac{600\,d^2}{e^6}+\frac{4\,d\,\left(\frac{400\,d}{e^5}+\frac{45}{e^4}\right)}{e}\right)}{e}-\frac{3\,d^2\,\left(\frac{400\,d}{e^5}+\frac{45}{e^4}\right)}{e^2}\right)-\frac{x\,\left(5200\,d^7+\frac{3465\,d^6\,e}{2}+2997\,d^5\,e^2+\frac{1295\,d^4\,e^3}{2}+1480\,d^3\,e^4-\frac{585\,d^2\,e^5}{2}+107\,d\,e^6+\frac{33\,e^7}{2}\right)+\frac{14600\,d^8+4815\,d^7\,e+8214\,d^6\,e^2+1739\,d^5\,e^3+3848\,d^4\,e^4-715\,d^3\,e^5+214\,d^2\,e^6+33\,d\,e^7+36\,e^8}{6\,e}+x^2\,\left(2800\,d^6\,e+945\,d^5\,e^2+1665\,d^4\,e^3+370\,d^3\,e^4+888\,d^2\,e^5-195\,d\,e^6+107\,e^7\right)}{d^3\,e^8+3\,d^2\,e^9\,x+3\,d\,e^{10}\,x^2+e^{11}\,x^3}-x^4\,\left(\frac{100\,d}{e^5}+\frac{45}{4\,e^4}\right)+x\,\left(\frac{148}{e^4}-\frac{100\,d^4}{e^8}+\frac{4\,d\,\left(\frac{37}{e^4}+\frac{400\,d^3}{e^7}+\frac{4\,d\,\left(\frac{111}{e^4}-\frac{600\,d^2}{e^6}+\frac{4\,d\,\left(\frac{400\,d}{e^5}+\frac{45}{e^4}\right)}{e}\right)}{e}-\frac{6\,d^2\,\left(\frac{400\,d}{e^5}+\frac{45}{e^4}\right)}{e^2}\right)}{e}-\frac{6\,d^2\,\left(\frac{111}{e^4}-\frac{600\,d^2}{e^6}+\frac{4\,d\,\left(\frac{400\,d}{e^5}+\frac{45}{e^4}\right)}{e}\right)}{e^2}+\frac{4\,d^3\,\left(\frac{400\,d}{e^5}+\frac{45}{e^4}\right)}{e^3}\right)+\frac{20\,x^5}{e^4}-\frac{\ln\left(d+e\,x\right)\,\left(5600\,d^5+1575\,d^4\,e+2220\,d^3\,e^2+370\,d^2\,e^3+592\,d\,e^4-65\,e^5\right)}{e^9}","Not used",1,"x^3*(37/e^4 - (200*d^2)/e^6 + (4*d*((400*d)/e^5 + 45/e^4))/(3*e)) - x^2*(37/(2*e^4) + (200*d^3)/e^7 + (2*d*(111/e^4 - (600*d^2)/e^6 + (4*d*((400*d)/e^5 + 45/e^4))/e))/e - (3*d^2*((400*d)/e^5 + 45/e^4))/e^2) - (x*(107*d*e^6 + (3465*d^6*e)/2 + 5200*d^7 + (33*e^7)/2 - (585*d^2*e^5)/2 + 1480*d^3*e^4 + (1295*d^4*e^3)/2 + 2997*d^5*e^2) + (33*d*e^7 + 4815*d^7*e + 14600*d^8 + 36*e^8 + 214*d^2*e^6 - 715*d^3*e^5 + 3848*d^4*e^4 + 1739*d^5*e^3 + 8214*d^6*e^2)/(6*e) + x^2*(2800*d^6*e - 195*d*e^6 + 107*e^7 + 888*d^2*e^5 + 370*d^3*e^4 + 1665*d^4*e^3 + 945*d^5*e^2))/(d^3*e^8 + e^11*x^3 + 3*d^2*e^9*x + 3*d*e^10*x^2) - x^4*((100*d)/e^5 + 45/(4*e^4)) + x*(148/e^4 - (100*d^4)/e^8 + (4*d*(37/e^4 + (400*d^3)/e^7 + (4*d*(111/e^4 - (600*d^2)/e^6 + (4*d*((400*d)/e^5 + 45/e^4))/e))/e - (6*d^2*((400*d)/e^5 + 45/e^4))/e^2))/e - (6*d^2*(111/e^4 - (600*d^2)/e^6 + (4*d*((400*d)/e^5 + 45/e^4))/e))/e^2 + (4*d^3*((400*d)/e^5 + 45/e^4))/e^3) + (20*x^5)/e^4 - (log(d + e*x)*(592*d*e^4 + 1575*d^4*e + 5600*d^5 - 65*e^5 + 370*d^2*e^3 + 2220*d^3*e^2))/e^9","B"
304,1,397,221,4.182018,"\text{Not used}","int(((d + e*x)^3*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(2*x + 5*x^2 + 3),x)","x^2\,\left(\frac{26\,e^2\,\left(12\,d-5\,e\right)}{625}-\frac{33\,e\,\left(4\,d^2-5\,d\,e+e^2\right)}{250}-\frac{3\,d\,e^2}{50}+\frac{3\,d^2\,e}{2}-\frac{33\,d^3}{50}+\frac{622\,e^3}{3125}\right)-x^3\,\left(\frac{11\,e^2\,\left(12\,d-5\,e\right)}{375}+\frac{2\,e\,\left(4\,d^2-5\,d\,e+e^2\right)}{25}-\frac{3\,d\,e^2}{5}+d^2\,e-\frac{4\,d^3}{15}-\frac{111\,e^3}{625}\right)+x^5\,\left(\frac{e^2\,\left(12\,d-5\,e\right)}{25}-\frac{8\,e^3}{125}\right)-\ln\left(5\,x^2+2\,x+3\right)\,\left(-\frac{229\,d^3}{625}+\frac{2643\,d^2\,e}{6250}+\frac{7662\,d\,e^2}{15625}-\frac{23431\,e^3}{156250}\right)-x^4\,\left(\frac{e^2\,\left(12\,d-5\,e\right)}{50}-\frac{3\,e\,\left(4\,d^2-5\,d\,e+e^2\right)}{20}+\frac{11\,e^3}{125}\right)+\frac{2\,e^3\,x^6}{15}+x\,\left(\frac{61\,e^2\,\left(12\,d-5\,e\right)}{3125}+\frac{3\,d\,\left(d^2+d\,e+2\,e^2\right)}{5}+\frac{156\,e\,\left(4\,d^2-5\,d\,e+e^2\right)}{625}-\frac{129\,d\,e^2}{125}+\frac{3\,d^2\,e}{5}+\frac{6\,d^3}{125}-\frac{7483\,e^3}{15625}\right)+\frac{\sqrt{14}\,\mathrm{atan}\left(\frac{\frac{\sqrt{14}\,\left(-52875\,d^3-449175\,d^2\,e+274845\,d\,e^2+53189\,e^3\right)}{1093750}+\frac{\sqrt{14}\,x\,\left(-52875\,d^3-449175\,d^2\,e+274845\,d\,e^2+53189\,e^3\right)}{218750}}{-\frac{423\,d^3}{625}-\frac{17967\,d^2\,e}{3125}+\frac{54969\,d\,e^2}{15625}+\frac{53189\,e^3}{78125}}\right)\,\left(-52875\,d^3-449175\,d^2\,e+274845\,d\,e^2+53189\,e^3\right)}{1093750}","Not used",1,"x^2*((26*e^2*(12*d - 5*e))/625 - (33*e*(4*d^2 - 5*d*e + e^2))/250 - (3*d*e^2)/50 + (3*d^2*e)/2 - (33*d^3)/50 + (622*e^3)/3125) - x^3*((11*e^2*(12*d - 5*e))/375 + (2*e*(4*d^2 - 5*d*e + e^2))/25 - (3*d*e^2)/5 + d^2*e - (4*d^3)/15 - (111*e^3)/625) + x^5*((e^2*(12*d - 5*e))/25 - (8*e^3)/125) - log(2*x + 5*x^2 + 3)*((7662*d*e^2)/15625 + (2643*d^2*e)/6250 - (229*d^3)/625 - (23431*e^3)/156250) - x^4*((e^2*(12*d - 5*e))/50 - (3*e*(4*d^2 - 5*d*e + e^2))/20 + (11*e^3)/125) + (2*e^3*x^6)/15 + x*((61*e^2*(12*d - 5*e))/3125 + (3*d*(d*e + d^2 + 2*e^2))/5 + (156*e*(4*d^2 - 5*d*e + e^2))/625 - (129*d*e^2)/125 + (3*d^2*e)/5 + (6*d^3)/125 - (7483*e^3)/15625) + (14^(1/2)*atan(((14^(1/2)*(274845*d*e^2 - 449175*d^2*e - 52875*d^3 + 53189*e^3))/1093750 + (14^(1/2)*x*(274845*d*e^2 - 449175*d^2*e - 52875*d^3 + 53189*e^3))/218750)/((54969*d*e^2)/15625 - (17967*d^2*e)/3125 - (423*d^3)/625 + (53189*e^3)/78125))*(274845*d*e^2 - 449175*d^2*e - 52875*d^3 + 53189*e^3))/1093750","B"
305,1,223,156,0.098942,"\text{Not used}","int(((d + e*x)^2*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(2*x + 5*x^2 + 3),x)","x\,\left(\frac{4\,d\,e}{5}+\frac{52\,e\,\left(8\,d-5\,e\right)}{625}+\frac{81\,d^2}{125}+\frac{419\,e^2}{3125}\right)-\ln\left(5\,x^2+2\,x+3\right)\,\left(-\frac{229\,d^2}{625}+\frac{881\,d\,e}{3125}+\frac{2554\,e^2}{15625}\right)+x^4\,\left(\frac{e\,\left(8\,d-5\,e\right)}{20}-\frac{2\,e^2}{25}\right)-x^3\,\left(\frac{2\,d\,e}{3}+\frac{2\,e\,\left(8\,d-5\,e\right)}{75}-\frac{4\,d^2}{15}-\frac{31\,e^2}{375}\right)+x^2\,\left(d\,e-\frac{11\,e\,\left(8\,d-5\,e\right)}{250}-\frac{33\,d^2}{50}+\frac{183\,e^2}{1250}\right)+\frac{4\,e^2\,x^5}{25}-\frac{\sqrt{14}\,\mathrm{atan}\left(\frac{\frac{\sqrt{14}\,\left(10575\,d^2+59890\,d\,e-18323\,e^2\right)}{218750}+\frac{\sqrt{14}\,x\,\left(10575\,d^2+59890\,d\,e-18323\,e^2\right)}{43750}}{\frac{423\,d^2}{625}+\frac{11978\,d\,e}{3125}-\frac{18323\,e^2}{15625}}\right)\,\left(10575\,d^2+59890\,d\,e-18323\,e^2\right)}{218750}","Not used",1,"x*((4*d*e)/5 + (52*e*(8*d - 5*e))/625 + (81*d^2)/125 + (419*e^2)/3125) - log(2*x + 5*x^2 + 3)*((881*d*e)/3125 - (229*d^2)/625 + (2554*e^2)/15625) + x^4*((e*(8*d - 5*e))/20 - (2*e^2)/25) - x^3*((2*d*e)/3 + (2*e*(8*d - 5*e))/75 - (4*d^2)/15 - (31*e^2)/375) + x^2*(d*e - (11*e*(8*d - 5*e))/250 - (33*d^2)/50 + (183*e^2)/1250) + (4*e^2*x^5)/25 - (14^(1/2)*atan(((14^(1/2)*(59890*d*e + 10575*d^2 - 18323*e^2))/218750 + (14^(1/2)*x*(59890*d*e + 10575*d^2 - 18323*e^2))/43750)/((11978*d*e)/3125 + (423*d^2)/625 - (18323*e^2)/15625))*(59890*d*e + 10575*d^2 - 18323*e^2))/218750","B"
306,1,107,99,0.070190,"\text{Not used}","int(((d + e*x)*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(2*x + 5*x^2 + 3),x)","x^3\,\left(\frac{4\,d}{15}-\frac{11\,e}{25}\right)-x^2\,\left(\frac{33\,d}{50}-\frac{81\,e}{250}\right)+\ln\left(5\,x^2+2\,x+3\right)\,\left(\frac{229\,d}{625}-\frac{881\,e}{6250}\right)+\frac{e\,x^4}{5}+x\,\left(\frac{81\,d}{125}+\frac{458\,e}{625}\right)-\frac{\sqrt{14}\,\mathrm{atan}\left(\frac{\frac{\sqrt{14}\,\left(2115\,d+5989\,e\right)}{43750}+\frac{\sqrt{14}\,x\,\left(2115\,d+5989\,e\right)}{8750}}{\frac{423\,d}{625}+\frac{5989\,e}{3125}}\right)\,\left(2115\,d+5989\,e\right)}{43750}","Not used",1,"x^3*((4*d)/15 - (11*e)/25) - x^2*((33*d)/50 - (81*e)/250) + log(2*x + 5*x^2 + 3)*((229*d)/625 - (881*e)/6250) + (e*x^4)/5 + x*((81*d)/125 + (458*e)/625) - (14^(1/2)*atan(((14^(1/2)*(2115*d + 5989*e))/43750 + (14^(1/2)*x*(2115*d + 5989*e))/8750)/((423*d)/625 + (5989*e)/3125))*(2115*d + 5989*e))/43750","B"
307,1,45,56,0.041508,"\text{Not used}","int((x + 3*x^2 - 5*x^3 + 4*x^4 + 2)/(2*x + 5*x^2 + 3),x)","\frac{81\,x}{125}+\frac{229\,\ln\left(5\,x^2+2\,x+3\right)}{625}-\frac{423\,\sqrt{14}\,\mathrm{atan}\left(\frac{5\,\sqrt{14}\,x}{14}+\frac{\sqrt{14}}{14}\right)}{8750}-\frac{33\,x^2}{50}+\frac{4\,x^3}{15}","Not used",1,"(81*x)/125 + (229*log(2*x + 5*x^2 + 3))/625 - (423*14^(1/2)*atan((5*14^(1/2)*x)/14 + 14^(1/2)/14))/8750 - (33*x^2)/50 + (4*x^3)/15","B"
308,1,713,168,6.389145,"\text{Not used}","int((x + 3*x^2 - 5*x^3 + 4*x^4 + 2)/((d + e*x)*(2*x + 5*x^2 + 3)),x)","\frac{2\,x^2}{5\,e}-\ln\left(d+e\,x\right)\,\left(\frac{\frac{458\,d}{125}-\frac{7\,e}{125}}{5\,d^2-2\,d\,e+3\,e^2}-\frac{100\,d^2+165\,d\,e+81\,e^2}{125\,e^3}\right)-x\,\left(\frac{4\,\left(5\,d+2\,e\right)}{25\,e^2}+\frac{1}{e}\right)-\frac{\ln\left(\frac{-28\,d^3+1053\,d^2\,e+1791\,d\,e^2+916\,e^3}{25\,e^2}-\frac{x\,\left(1832\,d^3+2318\,d^2\,e+321\,d\,e^2-2249\,e^3\right)}{25\,e^2}+\frac{\left(d\,\left(\frac{423\,\sqrt{14}}{3500}-\frac{229}{125}{}\mathrm{i}\right)-e\,\left(\frac{1367\,\sqrt{14}}{3500}-\frac{7}{250}{}\mathrm{i}\right)\right)\,\left(\frac{-1000\,d^4+4350\,d^3\,e+8490\,d^2\,e^2+4751\,d\,e^3+874\,e^4}{25\,e^2}+\frac{x\,\left(-5000\,d^4-6250\,d^3\,e+1850\,d^2\,e^2+8200\,d\,e^3+2917\,e^4\right)}{25\,e^2}-\frac{\left(\frac{1250\,d^2\,e^3-14500\,d\,e^4+750\,e^5}{25\,e^2}-\frac{x\,\left(-6250\,d^2\,e^3+2500\,d\,e^4+10250\,e^5\right)}{25\,e^2}\right)\,\left(d\,\left(\frac{423\,\sqrt{14}}{3500}-\frac{229}{125}{}\mathrm{i}\right)-e\,\left(\frac{1367\,\sqrt{14}}{3500}-\frac{7}{250}{}\mathrm{i}\right)\right)}{d^2\,5{}\mathrm{i}-d\,e\,2{}\mathrm{i}+e^2\,3{}\mathrm{i}}\right)}{d^2\,5{}\mathrm{i}-d\,e\,2{}\mathrm{i}+e^2\,3{}\mathrm{i}}\right)\,\left(d\,\left(\frac{423\,\sqrt{14}}{3500}-\frac{229}{125}{}\mathrm{i}\right)-e\,\left(\frac{1367\,\sqrt{14}}{3500}-\frac{7}{250}{}\mathrm{i}\right)\right)}{d^2\,5{}\mathrm{i}-d\,e\,2{}\mathrm{i}+e^2\,3{}\mathrm{i}}+\frac{\ln\left(\frac{-28\,d^3+1053\,d^2\,e+1791\,d\,e^2+916\,e^3}{25\,e^2}-\frac{x\,\left(1832\,d^3+2318\,d^2\,e+321\,d\,e^2-2249\,e^3\right)}{25\,e^2}-\frac{\left(d\,\left(\frac{423\,\sqrt{14}}{3500}+\frac{229}{125}{}\mathrm{i}\right)-e\,\left(\frac{1367\,\sqrt{14}}{3500}+\frac{7}{250}{}\mathrm{i}\right)\right)\,\left(\frac{-1000\,d^4+4350\,d^3\,e+8490\,d^2\,e^2+4751\,d\,e^3+874\,e^4}{25\,e^2}+\frac{x\,\left(-5000\,d^4-6250\,d^3\,e+1850\,d^2\,e^2+8200\,d\,e^3+2917\,e^4\right)}{25\,e^2}+\frac{\left(\frac{1250\,d^2\,e^3-14500\,d\,e^4+750\,e^5}{25\,e^2}-\frac{x\,\left(-6250\,d^2\,e^3+2500\,d\,e^4+10250\,e^5\right)}{25\,e^2}\right)\,\left(d\,\left(\frac{423\,\sqrt{14}}{3500}+\frac{229}{125}{}\mathrm{i}\right)-e\,\left(\frac{1367\,\sqrt{14}}{3500}+\frac{7}{250}{}\mathrm{i}\right)\right)}{d^2\,5{}\mathrm{i}-d\,e\,2{}\mathrm{i}+e^2\,3{}\mathrm{i}}\right)}{d^2\,5{}\mathrm{i}-d\,e\,2{}\mathrm{i}+e^2\,3{}\mathrm{i}}\right)\,\left(d\,\left(\frac{423\,\sqrt{14}}{3500}+\frac{229}{125}{}\mathrm{i}\right)-e\,\left(\frac{1367\,\sqrt{14}}{3500}+\frac{7}{250}{}\mathrm{i}\right)\right)}{d^2\,5{}\mathrm{i}-d\,e\,2{}\mathrm{i}+e^2\,3{}\mathrm{i}}","Not used",1,"(2*x^2)/(5*e) - log(d + e*x)*(((458*d)/125 - (7*e)/125)/(5*d^2 - 2*d*e + 3*e^2) - (165*d*e + 100*d^2 + 81*e^2)/(125*e^3)) - x*((4*(5*d + 2*e))/(25*e^2) + 1/e) - (log((1791*d*e^2 + 1053*d^2*e - 28*d^3 + 916*e^3)/(25*e^2) - (x*(321*d*e^2 + 2318*d^2*e + 1832*d^3 - 2249*e^3))/(25*e^2) + ((d*((423*14^(1/2))/3500 - 229i/125) - e*((1367*14^(1/2))/3500 - 7i/250))*((4751*d*e^3 + 4350*d^3*e - 1000*d^4 + 874*e^4 + 8490*d^2*e^2)/(25*e^2) + (x*(8200*d*e^3 - 6250*d^3*e - 5000*d^4 + 2917*e^4 + 1850*d^2*e^2))/(25*e^2) - (((750*e^5 - 14500*d*e^4 + 1250*d^2*e^3)/(25*e^2) - (x*(2500*d*e^4 + 10250*e^5 - 6250*d^2*e^3))/(25*e^2))*(d*((423*14^(1/2))/3500 - 229i/125) - e*((1367*14^(1/2))/3500 - 7i/250)))/(d^2*5i - d*e*2i + e^2*3i)))/(d^2*5i - d*e*2i + e^2*3i))*(d*((423*14^(1/2))/3500 - 229i/125) - e*((1367*14^(1/2))/3500 - 7i/250)))/(d^2*5i - d*e*2i + e^2*3i) + (log((1791*d*e^2 + 1053*d^2*e - 28*d^3 + 916*e^3)/(25*e^2) - (x*(321*d*e^2 + 2318*d^2*e + 1832*d^3 - 2249*e^3))/(25*e^2) - ((d*((423*14^(1/2))/3500 + 229i/125) - e*((1367*14^(1/2))/3500 + 7i/250))*((4751*d*e^3 + 4350*d^3*e - 1000*d^4 + 874*e^4 + 8490*d^2*e^2)/(25*e^2) + (x*(8200*d*e^3 - 6250*d^3*e - 5000*d^4 + 2917*e^4 + 1850*d^2*e^2))/(25*e^2) + (((750*e^5 - 14500*d*e^4 + 1250*d^2*e^3)/(25*e^2) - (x*(2500*d*e^4 + 10250*e^5 - 6250*d^2*e^3))/(25*e^2))*(d*((423*14^(1/2))/3500 + 229i/125) - e*((1367*14^(1/2))/3500 + 7i/250)))/(d^2*5i - d*e*2i + e^2*3i)))/(d^2*5i - d*e*2i + e^2*3i))*(d*((423*14^(1/2))/3500 + 229i/125) - e*((1367*14^(1/2))/3500 + 7i/250)))/(d^2*5i - d*e*2i + e^2*3i)","B"
309,1,312,233,4.668668,"\text{Not used}","int((x + 3*x^2 - 5*x^3 + 4*x^4 + 2)/((d + e*x)^2*(2*x + 5*x^2 + 3)),x)","\frac{4\,x}{5\,e^2}-\frac{\ln\left(x+\frac{1}{5}-\frac{\sqrt{14}\,1{}\mathrm{i}}{5}\right)\,\left(\left(\frac{423\,\sqrt{14}}{700}-\frac{229}{25}{}\mathrm{i}\right)\,d^2+\left(-\frac{1367\,\sqrt{14}}{350}+\frac{7}{25}{}\mathrm{i}\right)\,d\,e+\left(\frac{293\,\sqrt{14}}{700}+\frac{136}{25}{}\mathrm{i}\right)\,e^2\right)}{d^4\,25{}\mathrm{i}-d^3\,e\,20{}\mathrm{i}+d^2\,e^2\,34{}\mathrm{i}-d\,e^3\,12{}\mathrm{i}+e^4\,9{}\mathrm{i}}+\frac{\ln\left(x+\frac{1}{5}+\frac{\sqrt{14}\,1{}\mathrm{i}}{5}\right)\,\left(\left(\frac{423\,\sqrt{14}}{700}+\frac{229}{25}{}\mathrm{i}\right)\,d^2+\left(-\frac{1367\,\sqrt{14}}{350}-\frac{7}{25}{}\mathrm{i}\right)\,d\,e+\left(\frac{293\,\sqrt{14}}{700}-\frac{136}{25}{}\mathrm{i}\right)\,e^2\right)}{d^4\,25{}\mathrm{i}-d^3\,e\,20{}\mathrm{i}+d^2\,e^2\,34{}\mathrm{i}-d\,e^3\,12{}\mathrm{i}+e^4\,9{}\mathrm{i}}-\frac{5\,\left(4\,d^4+5\,d^3\,e+3\,d^2\,e^2-d\,e^3+2\,e^4\right)}{e\,\left(5\,x\,e^3+5\,d\,e^2\right)\,\left(5\,d^2-2\,d\,e+3\,e^2\right)}-\frac{\ln\left(d+e\,x\right)\,\left(40\,d^5+d^4\,e+28\,d^3\,e^2+44\,d^2\,e^3-2\,d\,e^4+e^5\right)}{e^3\,{\left(5\,d^2-2\,d\,e+3\,e^2\right)}^2}","Not used",1,"(4*x)/(5*e^2) - (log(x - (14^(1/2)*1i)/5 + 1/5)*(d^2*((423*14^(1/2))/700 - 229i/25) + e^2*((293*14^(1/2))/700 + 136i/25) - d*e*((1367*14^(1/2))/350 - 7i/25)))/(d^4*25i - d^3*e*20i - d*e^3*12i + e^4*9i + d^2*e^2*34i) + (log(x + (14^(1/2)*1i)/5 + 1/5)*(d^2*((423*14^(1/2))/700 + 229i/25) + e^2*((293*14^(1/2))/700 - 136i/25) - d*e*((1367*14^(1/2))/350 + 7i/25)))/(d^4*25i - d^3*e*20i - d*e^3*12i + e^4*9i + d^2*e^2*34i) - (5*(5*d^3*e - d*e^3 + 4*d^4 + 2*e^4 + 3*d^2*e^2))/(e*(5*d*e^2 + 5*e^3*x)*(5*d^2 - 2*d*e + 3*e^2)) - (log(d + e*x)*(d^4*e - 2*d*e^4 + 40*d^5 + e^5 + 44*d^2*e^3 + 28*d^3*e^2))/(e^3*(5*d^2 - 2*d*e + 3*e^2)^2)","B"
310,1,493,317,4.763251,"\text{Not used}","int((x + 3*x^2 - 5*x^3 + 4*x^4 + 2)/((d + e*x)^3*(2*x + 5*x^2 + 3)),x)","\frac{\frac{60\,d^6-15\,d^5\,e+39\,d^4\,e^2+84\,d^3\,e^3-25\,d^2\,e^4+9\,d\,e^5-6\,e^6}{2\,e^3\,\left(25\,d^4-20\,d^3\,e+34\,d^2\,e^2-12\,d\,e^3+9\,e^4\right)}+\frac{x\,\left(40\,d^5+d^4\,e+28\,d^3\,e^2+44\,d^2\,e^3-2\,d\,e^4+e^5\right)}{e^2\,\left(25\,d^4-20\,d^3\,e+34\,d^2\,e^2-12\,d\,e^3+9\,e^4\right)}}{d^2+2\,d\,e\,x+e^2\,x^2}-\frac{\ln\left(x+\frac{1}{5}-\frac{\sqrt{14}\,1{}\mathrm{i}}{5}\right)\,\left(\left(\frac{423\,\sqrt{14}}{140}-\frac{229}{5}{}\mathrm{i}\right)\,d^3+\left(-\frac{4101\,\sqrt{14}}{140}+\frac{21}{10}{}\mathrm{i}\right)\,d^2\,e+\left(\frac{879\,\sqrt{14}}{140}+\frac{408}{5}{}\mathrm{i}\right)\,d\,e^2+\left(\frac{703\,\sqrt{14}}{140}-\frac{113}{10}{}\mathrm{i}\right)\,e^3\right)}{d^6\,125{}\mathrm{i}-d^5\,e\,150{}\mathrm{i}+d^4\,e^2\,285{}\mathrm{i}-d^3\,e^3\,188{}\mathrm{i}+d^2\,e^4\,171{}\mathrm{i}-d\,e^5\,54{}\mathrm{i}+e^6\,27{}\mathrm{i}}+\frac{\ln\left(x+\frac{1}{5}+\frac{\sqrt{14}\,1{}\mathrm{i}}{5}\right)\,\left(\left(\frac{423\,\sqrt{14}}{140}+\frac{229}{5}{}\mathrm{i}\right)\,d^3+\left(-\frac{4101\,\sqrt{14}}{140}-\frac{21}{10}{}\mathrm{i}\right)\,d^2\,e+\left(\frac{879\,\sqrt{14}}{140}-\frac{408}{5}{}\mathrm{i}\right)\,d\,e^2+\left(\frac{703\,\sqrt{14}}{140}+\frac{113}{10}{}\mathrm{i}\right)\,e^3\right)}{d^6\,125{}\mathrm{i}-d^5\,e\,150{}\mathrm{i}+d^4\,e^2\,285{}\mathrm{i}-d^3\,e^3\,188{}\mathrm{i}+d^2\,e^4\,171{}\mathrm{i}-d\,e^5\,54{}\mathrm{i}+e^6\,27{}\mathrm{i}}+\frac{\ln\left(d+e\,x\right)\,\left(100\,d^6-120\,d^5\,e+228\,d^4\,e^2-242\,d^3\,e^3+141\,d^2\,e^4+120\,d\,e^5-e^6\right)}{e^3\,{\left(5\,d^2-2\,d\,e+3\,e^2\right)}^3}","Not used",1,"((9*d*e^5 - 15*d^5*e + 60*d^6 - 6*e^6 - 25*d^2*e^4 + 84*d^3*e^3 + 39*d^4*e^2)/(2*e^3*(25*d^4 - 20*d^3*e - 12*d*e^3 + 9*e^4 + 34*d^2*e^2)) + (x*(d^4*e - 2*d*e^4 + 40*d^5 + e^5 + 44*d^2*e^3 + 28*d^3*e^2))/(e^2*(25*d^4 - 20*d^3*e - 12*d*e^3 + 9*e^4 + 34*d^2*e^2)))/(d^2 + e^2*x^2 + 2*d*e*x) - (log(x - (14^(1/2)*1i)/5 + 1/5)*(d^3*((423*14^(1/2))/140 - 229i/5) + e^3*((703*14^(1/2))/140 - 113i/10) + d*e^2*((879*14^(1/2))/140 + 408i/5) - d^2*e*((4101*14^(1/2))/140 - 21i/10)))/(d^6*125i - d^5*e*150i - d*e^5*54i + e^6*27i + d^2*e^4*171i - d^3*e^3*188i + d^4*e^2*285i) + (log(x + (14^(1/2)*1i)/5 + 1/5)*(d^3*((423*14^(1/2))/140 + 229i/5) + e^3*((703*14^(1/2))/140 + 113i/10) + d*e^2*((879*14^(1/2))/140 - 408i/5) - d^2*e*((4101*14^(1/2))/140 + 21i/10)))/(d^6*125i - d^5*e*150i - d*e^5*54i + e^6*27i + d^2*e^4*171i - d^3*e^3*188i + d^4*e^2*285i) + (log(d + e*x)*(120*d*e^5 - 120*d^5*e + 100*d^6 - e^6 + 141*d^2*e^4 - 242*d^3*e^3 + 228*d^4*e^2))/(e^3*(5*d^2 - 2*d*e + 3*e^2)^3)","B"
311,1,333,189,0.148491,"\text{Not used}","int(((d + e*x)^3*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(2*x + 5*x^2 + 3)^2,x)","\frac{\frac{53901\,d\,e^2}{28}+\frac{19035\,d^2\,e}{28}+x\,\left(-\frac{10575\,d^3}{28}-\frac{89835\,d^2\,e}{28}+\frac{54969\,d\,e^2}{28}+\frac{53189\,e^3}{140}\right)-\frac{34175\,d^3}{28}-\frac{54969\,e^3}{140}}{15625\,x^2+6250\,x+9375}+x^3\,\left(\frac{e^2\,\left(12\,d-5\,e\right)}{75}-\frac{16\,e^3}{375}\right)-x\,\left(\frac{18\,e^2\,\left(12\,d-5\,e\right)}{625}+\frac{12\,e\,\left(4\,d^2-5\,d\,e+e^2\right)}{125}-\frac{9\,d\,e^2}{25}+\frac{3\,d^2\,e}{5}-\frac{4\,d^3}{25}-\frac{717\,e^3}{3125}\right)+\ln\left(5\,x^2+2\,x+3\right)\,\left(-\frac{41\,d^3}{250}+\frac{309\,d^2\,e}{1250}+\frac{2601\,d\,e^2}{6250}-\frac{416\,e^3}{3125}\right)-x^2\,\left(\frac{2\,e^2\,\left(12\,d-5\,e\right)}{125}-\frac{3\,e\,\left(4\,d^2-5\,d\,e+e^2\right)}{50}+\frac{36\,e^3}{625}\right)+\frac{e^3\,x^4}{25}-\frac{\sqrt{14}\,\mathrm{atan}\left(\frac{\frac{\sqrt{14}\,\left(-32825\,d^3-317565\,d^2\,e+221643\,d\,e^2+67499\,e^3\right)}{1225000}+\frac{\sqrt{14}\,x\,\left(-32825\,d^3-317565\,d^2\,e+221643\,d\,e^2+67499\,e^3\right)}{245000}}{-\frac{1313\,d^3}{3500}-\frac{63513\,d^2\,e}{17500}+\frac{221643\,d\,e^2}{87500}+\frac{67499\,e^3}{87500}}\right)\,\left(-32825\,d^3-317565\,d^2\,e+221643\,d\,e^2+67499\,e^3\right)}{1225000}","Not used",1,"((53901*d*e^2)/28 + (19035*d^2*e)/28 + x*((54969*d*e^2)/28 - (89835*d^2*e)/28 - (10575*d^3)/28 + (53189*e^3)/140) - (34175*d^3)/28 - (54969*e^3)/140)/(6250*x + 15625*x^2 + 9375) + x^3*((e^2*(12*d - 5*e))/75 - (16*e^3)/375) - x*((18*e^2*(12*d - 5*e))/625 + (12*e*(4*d^2 - 5*d*e + e^2))/125 - (9*d*e^2)/25 + (3*d^2*e)/5 - (4*d^3)/25 - (717*e^3)/3125) + log(2*x + 5*x^2 + 3)*((2601*d*e^2)/6250 + (309*d^2*e)/1250 - (41*d^3)/250 - (416*e^3)/3125) - x^2*((2*e^2*(12*d - 5*e))/125 - (3*e*(4*d^2 - 5*d*e + e^2))/50 + (36*e^3)/625) + (e^3*x^4)/25 - (14^(1/2)*atan(((14^(1/2)*(221643*d*e^2 - 317565*d^2*e - 32825*d^3 + 67499*e^3))/1225000 + (14^(1/2)*x*(221643*d*e^2 - 317565*d^2*e - 32825*d^3 + 67499*e^3))/245000)/((221643*d*e^2)/87500 - (63513*d^2*e)/17500 - (1313*d^3)/3500 + (67499*e^3)/87500))*(221643*d*e^2 - 317565*d^2*e - 32825*d^3 + 67499*e^3))/1225000","B"
312,1,211,140,0.114061,"\text{Not used}","int(((d + e*x)^2*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(2*x + 5*x^2 + 3)^2,x)","\ln\left(5\,x^2+2\,x+3\right)\,\left(-\frac{41\,d^2}{250}+\frac{103\,d\,e}{625}+\frac{867\,e^2}{6250}\right)-x\,\left(\frac{2\,d\,e}{5}+\frac{4\,e\,\left(8\,d-5\,e\right)}{125}-\frac{4\,d^2}{25}-\frac{3\,e^2}{625}\right)+x^2\,\left(\frac{e\,\left(8\,d-5\,e\right)}{50}-\frac{8\,e^2}{125}\right)+\frac{\frac{1269\,d\,e}{14}-x\,\left(\frac{2115\,d^2}{28}+\frac{5989\,d\,e}{14}-\frac{18323\,e^2}{140}\right)-\frac{6835\,d^2}{28}+\frac{17967\,e^2}{140}}{3125\,x^2+1250\,x+1875}+\frac{4\,e^2\,x^3}{75}+\frac{\sqrt{14}\,\mathrm{atan}\left(\frac{\frac{\sqrt{14}\,\left(32825\,d^2+211710\,d\,e-73881\,e^2\right)}{1225000}+\frac{\sqrt{14}\,x\,\left(32825\,d^2+211710\,d\,e-73881\,e^2\right)}{245000}}{\frac{1313\,d^2}{3500}+\frac{21171\,d\,e}{8750}-\frac{73881\,e^2}{87500}}\right)\,\left(32825\,d^2+211710\,d\,e-73881\,e^2\right)}{1225000}","Not used",1,"log(2*x + 5*x^2 + 3)*((103*d*e)/625 - (41*d^2)/250 + (867*e^2)/6250) - x*((2*d*e)/5 + (4*e*(8*d - 5*e))/125 - (4*d^2)/25 - (3*e^2)/625) + x^2*((e*(8*d - 5*e))/50 - (8*e^2)/125) + ((1269*d*e)/14 - x*((5989*d*e)/14 + (2115*d^2)/28 - (18323*e^2)/140) - (6835*d^2)/28 + (17967*e^2)/140)/(1250*x + 3125*x^2 + 1875) + (4*e^2*x^3)/75 + (14^(1/2)*atan(((14^(1/2)*(211710*d*e + 32825*d^2 - 73881*e^2))/1225000 + (14^(1/2)*x*(211710*d*e + 32825*d^2 - 73881*e^2))/245000)/((21171*d*e)/8750 + (1313*d^2)/3500 - (73881*e^2)/87500))*(211710*d*e + 32825*d^2 - 73881*e^2))/1225000","B"
313,1,115,97,4.151801,"\text{Not used}","int(((d + e*x)*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(2*x + 5*x^2 + 3)^2,x)","\frac{2\,e\,x^2}{25}-\ln\left(5\,x^2+2\,x+3\right)\,\left(\frac{41\,d}{250}-\frac{103\,e}{1250}\right)+x\,\left(\frac{4\,d}{25}-\frac{41\,e}{125}\right)-\frac{\frac{1367\,d}{28}-\frac{1269\,e}{140}+x\,\left(\frac{423\,d}{28}+\frac{5989\,e}{140}\right)}{625\,x^2+250\,x+375}+\frac{\sqrt{14}\,\mathrm{atan}\left(\frac{\frac{\sqrt{14}\,\left(6565\,d+21171\,e\right)}{245000}+\frac{\sqrt{14}\,x\,\left(6565\,d+21171\,e\right)}{49000}}{\frac{1313\,d}{3500}+\frac{21171\,e}{17500}}\right)\,\left(6565\,d+21171\,e\right)}{245000}","Not used",1,"(2*e*x^2)/25 - log(2*x + 5*x^2 + 3)*((41*d)/250 - (103*e)/1250) + x*((4*d)/25 - (41*e)/125) - ((1367*d)/28 - (1269*e)/140 + x*((423*d)/28 + (5989*e)/140))/(250*x + 625*x^2 + 375) + (14^(1/2)*atan(((14^(1/2)*(6565*d + 21171*e))/245000 + (14^(1/2)*x*(6565*d + 21171*e))/49000)/((1313*d)/3500 + (21171*e)/17500))*(6565*d + 21171*e))/245000","B"
314,1,52,63,4.147908,"\text{Not used}","int((x + 3*x^2 - 5*x^3 + 4*x^4 + 2)/(2*x + 5*x^2 + 3)^2,x)","\frac{4\,x}{25}-\frac{41\,\ln\left(5\,x^2+2\,x+3\right)}{250}-\frac{\frac{423\,x}{17500}+\frac{1367}{17500}}{x^2+\frac{2\,x}{5}+\frac{3}{5}}+\frac{1313\,\sqrt{14}\,\mathrm{atan}\left(\frac{5\,\sqrt{14}\,x}{14}+\frac{\sqrt{14}}{14}\right)}{49000}","Not used",1,"(4*x)/25 - (41*log(2*x + 5*x^2 + 3))/250 - ((423*x)/17500 + 1367/17500)/((2*x)/5 + x^2 + 3/5) + (1313*14^(1/2)*atan((5*14^(1/2)*x)/14 + 14^(1/2)/14))/49000","B"
315,1,330,224,4.611967,"\text{Not used}","int((x + 3*x^2 - 5*x^3 + 4*x^4 + 2)/((d + e*x)*(2*x + 5*x^2 + 3)^2),x)","\frac{\ln\left(d+e\,x\right)\,\left(4\,d^4+5\,d^3\,e+3\,d^2\,e^2-d\,e^3+2\,e^4\right)}{e\,{\left(5\,d^2-2\,d\,e+3\,e^2\right)}^2}+\frac{\ln\left(x+\frac{1}{5}-\frac{\sqrt{14}\,1{}\mathrm{i}}{5}\right)\,\left(\left(\frac{1313\,\sqrt{14}}{3920}-\frac{41}{10}{}\mathrm{i}\right)\,d^3+\left(-\frac{26423\,\sqrt{14}}{19600}+\frac{61}{50}{}\mathrm{i}\right)\,d^2\,e+\left(\frac{11089\,\sqrt{14}}{19600}-\frac{23}{50}{}\mathrm{i}\right)\,d\,e^2+\left(-\frac{6623\,\sqrt{14}}{19600}-\frac{7}{25}{}\mathrm{i}\right)\,e^3\right)}{d^4\,25{}\mathrm{i}-d^3\,e\,20{}\mathrm{i}+d^2\,e^2\,34{}\mathrm{i}-d\,e^3\,12{}\mathrm{i}+e^4\,9{}\mathrm{i}}-\frac{\ln\left(x+\frac{1}{5}+\frac{\sqrt{14}\,1{}\mathrm{i}}{5}\right)\,\left(\left(\frac{1313\,\sqrt{14}}{3920}+\frac{41}{10}{}\mathrm{i}\right)\,d^3+\left(-\frac{26423\,\sqrt{14}}{19600}-\frac{61}{50}{}\mathrm{i}\right)\,d^2\,e+\left(\frac{11089\,\sqrt{14}}{19600}+\frac{23}{50}{}\mathrm{i}\right)\,d\,e^2+\left(-\frac{6623\,\sqrt{14}}{19600}+\frac{7}{25}{}\mathrm{i}\right)\,e^3\right)}{d^4\,25{}\mathrm{i}-d^3\,e\,20{}\mathrm{i}+d^2\,e^2\,34{}\mathrm{i}-d\,e^3\,12{}\mathrm{i}+e^4\,9{}\mathrm{i}}-\frac{\frac{1367\,d-293\,e}{700\,\left(5\,d^2-2\,d\,e+3\,e^2\right)}+\frac{x\,\left(423\,d-1367\,e\right)}{700\,\left(5\,d^2-2\,d\,e+3\,e^2\right)}}{5\,x^2+2\,x+3}","Not used",1,"(log(x - (14^(1/2)*1i)/5 + 1/5)*(d^3*((1313*14^(1/2))/3920 - 41i/10) - e^3*((6623*14^(1/2))/19600 + 7i/25) + d*e^2*((11089*14^(1/2))/19600 - 23i/50) - d^2*e*((26423*14^(1/2))/19600 - 61i/50)))/(d^4*25i - d^3*e*20i - d*e^3*12i + e^4*9i + d^2*e^2*34i) - ((1367*d - 293*e)/(700*(5*d^2 - 2*d*e + 3*e^2)) + (x*(423*d - 1367*e))/(700*(5*d^2 - 2*d*e + 3*e^2)))/(2*x + 5*x^2 + 3) - (log(x + (14^(1/2)*1i)/5 + 1/5)*(d^3*((1313*14^(1/2))/3920 + 41i/10) - e^3*((6623*14^(1/2))/19600 - 7i/25) + d*e^2*((11089*14^(1/2))/19600 + 23i/50) - d^2*e*((26423*14^(1/2))/19600 + 61i/50)))/(d^4*25i - d^3*e*20i - d*e^3*12i + e^4*9i + d^2*e^2*34i) + (log(d + e*x)*(5*d^3*e - d*e^3 + 4*d^4 + 2*e^4 + 3*d^2*e^2))/(e*(5*d^2 - 2*d*e + 3*e^2)^2)","B"
316,1,601,313,4.835457,"\text{Not used}","int((x + 3*x^2 - 5*x^3 + 4*x^4 + 2)/((d + e*x)^2*(2*x + 5*x^2 + 3)^2),x)","\ln\left(d+e\,x\right)\,\left(\frac{41}{25\,\left(5\,d^2-2\,d\,e+3\,e^2\right)}-\frac{4\,e^3\,\left(423\,d-1367\,e\right)}{125\,{\left(5\,d^2-2\,d\,e+3\,e^2\right)}^3}+\frac{2\,e\,\left(310\,d-1323\,e\right)}{125\,{\left(5\,d^2-2\,d\,e+3\,e^2\right)}^2}\right)-\frac{\frac{1680\,d^4+3467\,d^3\,e+674\,d^2\,e^2-1123\,d\,e^3+840\,e^4}{140\,e\,\left(25\,d^4-20\,d^3\,e+34\,d^2\,e^2-12\,d\,e^3+9\,e^4\right)}-\frac{x\,\left(-1120\,d^4-1823\,d^3\,e+527\,d^2\,e^2+573\,d\,e^3+143\,e^4\right)}{140\,e\,\left(25\,d^4-20\,d^3\,e+34\,d^2\,e^2-12\,d\,e^3+9\,e^4\right)}+\frac{x^2\,\left(2800\,d^4+3500\,d^3\,e+2523\,d^2\,e^2-3434\,d\,e^3+1693\,e^4\right)}{140\,e\,\left(25\,d^4-20\,d^3\,e+34\,d^2\,e^2-12\,d\,e^3+9\,e^4\right)}}{5\,e\,x^3+\left(5\,d+2\,e\right)\,x^2+\left(2\,d+3\,e\right)\,x+3\,d}+\frac{\ln\left(x+\frac{1}{5}-\frac{\sqrt{14}\,1{}\mathrm{i}}{5}\right)\,\left(\left(\frac{1313\,\sqrt{14}}{784}-\frac{41}{2}{}\mathrm{i}\right)\,d^4+\left(-\frac{2511\,\sqrt{14}}{196}+4{}\mathrm{i}\right)\,d^3\,e+\left(\frac{2145\,\sqrt{14}}{392}+30{}\mathrm{i}\right)\,d^2\,e^2+\left(\frac{39\,\sqrt{14}}{196}-12{}\mathrm{i}\right)\,d\,e^3+\left(-\frac{271\,\sqrt{14}}{784}+\frac{5}{2}{}\mathrm{i}\right)\,e^4\right)}{d^6\,125{}\mathrm{i}-d^5\,e\,150{}\mathrm{i}+d^4\,e^2\,285{}\mathrm{i}-d^3\,e^3\,188{}\mathrm{i}+d^2\,e^4\,171{}\mathrm{i}-d\,e^5\,54{}\mathrm{i}+e^6\,27{}\mathrm{i}}-\frac{\ln\left(x+\frac{1}{5}+\frac{\sqrt{14}\,1{}\mathrm{i}}{5}\right)\,\left(\left(\frac{1313\,\sqrt{14}}{784}+\frac{41}{2}{}\mathrm{i}\right)\,d^4+\left(-\frac{2511\,\sqrt{14}}{196}-4{}\mathrm{i}\right)\,d^3\,e+\left(\frac{2145\,\sqrt{14}}{392}-30{}\mathrm{i}\right)\,d^2\,e^2+\left(\frac{39\,\sqrt{14}}{196}+12{}\mathrm{i}\right)\,d\,e^3+\left(-\frac{271\,\sqrt{14}}{784}-\frac{5}{2}{}\mathrm{i}\right)\,e^4\right)}{d^6\,125{}\mathrm{i}-d^5\,e\,150{}\mathrm{i}+d^4\,e^2\,285{}\mathrm{i}-d^3\,e^3\,188{}\mathrm{i}+d^2\,e^4\,171{}\mathrm{i}-d\,e^5\,54{}\mathrm{i}+e^6\,27{}\mathrm{i}}","Not used",1,"log(d + e*x)*(41/(25*(5*d^2 - 2*d*e + 3*e^2)) - (4*e^3*(423*d - 1367*e))/(125*(5*d^2 - 2*d*e + 3*e^2)^3) + (2*e*(310*d - 1323*e))/(125*(5*d^2 - 2*d*e + 3*e^2)^2)) - ((3467*d^3*e - 1123*d*e^3 + 1680*d^4 + 840*e^4 + 674*d^2*e^2)/(140*e*(25*d^4 - 20*d^3*e - 12*d*e^3 + 9*e^4 + 34*d^2*e^2)) - (x*(573*d*e^3 - 1823*d^3*e - 1120*d^4 + 143*e^4 + 527*d^2*e^2))/(140*e*(25*d^4 - 20*d^3*e - 12*d*e^3 + 9*e^4 + 34*d^2*e^2)) + (x^2*(3500*d^3*e - 3434*d*e^3 + 2800*d^4 + 1693*e^4 + 2523*d^2*e^2))/(140*e*(25*d^4 - 20*d^3*e - 12*d*e^3 + 9*e^4 + 34*d^2*e^2)))/(3*d + x^2*(5*d + 2*e) + 5*e*x^3 + x*(2*d + 3*e)) + (log(x - (14^(1/2)*1i)/5 + 1/5)*(d^4*((1313*14^(1/2))/784 - 41i/2) - e^4*((271*14^(1/2))/784 - 5i/2) + d^2*e^2*((2145*14^(1/2))/392 + 30i) + d*e^3*((39*14^(1/2))/196 - 12i) - d^3*e*((2511*14^(1/2))/196 - 4i)))/(d^6*125i - d^5*e*150i - d*e^5*54i + e^6*27i + d^2*e^4*171i - d^3*e^3*188i + d^4*e^2*285i) - (log(x + (14^(1/2)*1i)/5 + 1/5)*(d^4*((1313*14^(1/2))/784 + 41i/2) - e^4*((271*14^(1/2))/784 + 5i/2) + d^2*e^2*((2145*14^(1/2))/392 - 30i) + d*e^3*((39*14^(1/2))/196 + 12i) - d^3*e*((2511*14^(1/2))/196 + 4i)))/(d^6*125i - d^5*e*150i - d*e^5*54i + e^6*27i + d^2*e^4*171i - d^3*e^3*188i + d^4*e^2*285i)","B"
317,1,887,412,4.939845,"\text{Not used}","int((x + 3*x^2 - 5*x^3 + 4*x^4 + 2)/((d + e*x)^3*(2*x + 5*x^2 + 3)^2),x)","\ln\left(d+e\,x\right)\,\left(\frac{\frac{41\,d}{5}+\frac{29\,e}{5}}{{\left(5\,d^2-2\,d\,e+3\,e^2\right)}^2}+\frac{168\,e^4\,\left(458\,d-7\,e\right)}{125\,{\left(5\,d^2-2\,d\,e+3\,e^2\right)}^4}-\frac{2\,e^2\,\left(12610\,d+1329\,e\right)}{125\,{\left(5\,d^2-2\,d\,e+3\,e^2\right)}^3}\right)-\frac{\frac{840\,d^6+5525\,d^5\,e-837\,d^4\,e^2-6981\,d^3\,e^3+3355\,d^2\,e^4-714\,d\,e^5+252\,e^6}{28\,e\,\left(125\,d^6-150\,d^5\,e+285\,d^4\,e^2-188\,d^3\,e^3+171\,d^2\,e^4-54\,d\,e^5+27\,e^6\right)}+\frac{x^3\,\left(5740\,d^4\,e-697\,d^3\,e^2-12501\,d^2\,e^3+4239\,d\,e^4+3\,e^5\right)}{28\,\left(125\,d^6-150\,d^5\,e+285\,d^4\,e^2-188\,d^3\,e^3+171\,d^2\,e^4-54\,d\,e^5+27\,e^6\right)}+\frac{x^2\,\left(1400\,d^6+6930\,d^5\,e+3212\,d^4\,e^2-15403\,d^3\,e^3+2349\,d^2\,e^4-549\,d\,e^5+597\,e^6\right)}{28\,e\,\left(125\,d^6-150\,d^5\,e+285\,d^4\,e^2-188\,d^3\,e^3+171\,d^2\,e^4-54\,d\,e^5+27\,e^6\right)}+\frac{x\,\left(560\,d^6+3195\,d^5\,e+2105\,d^4\,e^2-4799\,d^3\,e^3-6623\,d^2\,e^4+2454\,d\,e^5-252\,e^6\right)}{28\,e\,\left(125\,d^6-150\,d^5\,e+285\,d^4\,e^2-188\,d^3\,e^3+171\,d^2\,e^4-54\,d\,e^5+27\,e^6\right)}}{x^2\,\left(5\,d^2+4\,d\,e+3\,e^2\right)+x\,\left(2\,d^2+6\,e\,d\right)+3\,d^2+x^3\,\left(2\,e^2+10\,d\,e\right)+5\,e^2\,x^4}+\frac{\ln\left(x+\frac{1}{5}-\frac{\sqrt{14}\,1{}\mathrm{i}}{5}\right)\,\left(\left(\frac{6565\,\sqrt{14}}{784}-\frac{205}{2}{}\mathrm{i}\right)\,d^5+\left(-\frac{74017\,\sqrt{14}}{784}+\frac{19}{2}{}\mathrm{i}\right)\,d^4\,e+\left(\frac{17511\,\sqrt{14}}{392}+423{}\mathrm{i}\right)\,d^3\,e^2+\left(\frac{21429\,\sqrt{14}}{392}-198{}\mathrm{i}\right)\,d^2\,e^3+\left(-\frac{17247\,\sqrt{14}}{784}-\frac{57}{2}{}\mathrm{i}\right)\,d\,e^4+\left(\frac{579\,\sqrt{14}}{784}+\frac{21}{2}{}\mathrm{i}\right)\,e^5\right)}{d^8\,625{}\mathrm{i}-d^7\,e\,1000{}\mathrm{i}+d^6\,e^2\,2100{}\mathrm{i}-d^5\,e^3\,1960{}\mathrm{i}+d^4\,e^4\,2086{}\mathrm{i}-d^3\,e^5\,1176{}\mathrm{i}+d^2\,e^6\,756{}\mathrm{i}-d\,e^7\,216{}\mathrm{i}+e^8\,81{}\mathrm{i}}-\frac{\ln\left(x+\frac{1}{5}+\frac{\sqrt{14}\,1{}\mathrm{i}}{5}\right)\,\left(\left(\frac{6565\,\sqrt{14}}{784}+\frac{205}{2}{}\mathrm{i}\right)\,d^5+\left(-\frac{74017\,\sqrt{14}}{784}-\frac{19}{2}{}\mathrm{i}\right)\,d^4\,e+\left(\frac{17511\,\sqrt{14}}{392}-423{}\mathrm{i}\right)\,d^3\,e^2+\left(\frac{21429\,\sqrt{14}}{392}+198{}\mathrm{i}\right)\,d^2\,e^3+\left(-\frac{17247\,\sqrt{14}}{784}+\frac{57}{2}{}\mathrm{i}\right)\,d\,e^4+\left(\frac{579\,\sqrt{14}}{784}-\frac{21}{2}{}\mathrm{i}\right)\,e^5\right)}{d^8\,625{}\mathrm{i}-d^7\,e\,1000{}\mathrm{i}+d^6\,e^2\,2100{}\mathrm{i}-d^5\,e^3\,1960{}\mathrm{i}+d^4\,e^4\,2086{}\mathrm{i}-d^3\,e^5\,1176{}\mathrm{i}+d^2\,e^6\,756{}\mathrm{i}-d\,e^7\,216{}\mathrm{i}+e^8\,81{}\mathrm{i}}","Not used",1,"log(d + e*x)*(((41*d)/5 + (29*e)/5)/(5*d^2 - 2*d*e + 3*e^2)^2 + (168*e^4*(458*d - 7*e))/(125*(5*d^2 - 2*d*e + 3*e^2)^4) - (2*e^2*(12610*d + 1329*e))/(125*(5*d^2 - 2*d*e + 3*e^2)^3)) - ((5525*d^5*e - 714*d*e^5 + 840*d^6 + 252*e^6 + 3355*d^2*e^4 - 6981*d^3*e^3 - 837*d^4*e^2)/(28*e*(125*d^6 - 150*d^5*e - 54*d*e^5 + 27*e^6 + 171*d^2*e^4 - 188*d^3*e^3 + 285*d^4*e^2)) + (x^3*(4239*d*e^4 + 5740*d^4*e + 3*e^5 - 12501*d^2*e^3 - 697*d^3*e^2))/(28*(125*d^6 - 150*d^5*e - 54*d*e^5 + 27*e^6 + 171*d^2*e^4 - 188*d^3*e^3 + 285*d^4*e^2)) + (x^2*(6930*d^5*e - 549*d*e^5 + 1400*d^6 + 597*e^6 + 2349*d^2*e^4 - 15403*d^3*e^3 + 3212*d^4*e^2))/(28*e*(125*d^6 - 150*d^5*e - 54*d*e^5 + 27*e^6 + 171*d^2*e^4 - 188*d^3*e^3 + 285*d^4*e^2)) + (x*(2454*d*e^5 + 3195*d^5*e + 560*d^6 - 252*e^6 - 6623*d^2*e^4 - 4799*d^3*e^3 + 2105*d^4*e^2))/(28*e*(125*d^6 - 150*d^5*e - 54*d*e^5 + 27*e^6 + 171*d^2*e^4 - 188*d^3*e^3 + 285*d^4*e^2)))/(x^2*(4*d*e + 5*d^2 + 3*e^2) + x*(6*d*e + 2*d^2) + 3*d^2 + x^3*(10*d*e + 2*e^2) + 5*e^2*x^4) + (log(x - (14^(1/2)*1i)/5 + 1/5)*(d^5*((6565*14^(1/2))/784 - 205i/2) + e^5*((579*14^(1/2))/784 + 21i/2) + d^3*e^2*((17511*14^(1/2))/392 + 423i) + d^2*e^3*((21429*14^(1/2))/392 - 198i) - d*e^4*((17247*14^(1/2))/784 + 57i/2) - d^4*e*((74017*14^(1/2))/784 - 19i/2)))/(d^8*625i - d^7*e*1000i - d*e^7*216i + e^8*81i + d^2*e^6*756i - d^3*e^5*1176i + d^4*e^4*2086i - d^5*e^3*1960i + d^6*e^2*2100i) - (log(x + (14^(1/2)*1i)/5 + 1/5)*(d^5*((6565*14^(1/2))/784 + 205i/2) + e^5*((579*14^(1/2))/784 - 21i/2) + d^3*e^2*((17511*14^(1/2))/392 - 423i) + d^2*e^3*((21429*14^(1/2))/392 + 198i) - d*e^4*((17247*14^(1/2))/784 - 57i/2) - d^4*e*((74017*14^(1/2))/784 + 19i/2)))/(d^8*625i - d^7*e*1000i - d*e^7*216i + e^8*81i + d^2*e^6*756i - d^3*e^5*1176i + d^4*e^4*2086i - d^5*e^3*1960i + d^6*e^2*2100i)","B"
318,1,299,171,0.152288,"\text{Not used}","int(((d + e*x)^3*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(2*x + 5*x^2 + 3)^3,x)","x\,\left(\frac{e^2\,\left(12\,d-5\,e\right)}{125}-\frac{24\,e^3}{625}\right)-\frac{\frac{1154655\,d\,e^2}{1568}+\frac{292995\,d^2\,e}{1568}+x\,\left(-\frac{449475\,d^3}{1568}-\frac{866415\,d^2\,e}{1568}+\frac{1828125\,d\,e^2}{1568}+\frac{511689\,e^3}{7840}\right)-\frac{323825\,d^3}{1568}-\frac{1275957\,e^3}{7840}+x^3\,\left(-\frac{275375\,d^3}{1568}-\frac{2726475\,d^2\,e}{1568}+\frac{1941585\,d\,e^2}{1568}+\frac{621801\,e^3}{1568}\right)-x^2\,\left(\frac{968825\,d^3}{1568}+\frac{424605\,d^2\,e}{1568}-\frac{3204135\,d\,e^2}{1568}+\frac{1396037\,e^3}{7840}\right)}{15625\,x^4+12500\,x^3+21250\,x^2+7500\,x+5625}+\ln\left(5\,x^2+2\,x+3\right)\,\left(\frac{6\,d^2\,e}{125}-\frac{147\,d\,e^2}{1250}+\frac{141\,e^3}{6250}\right)+\frac{2\,e^3\,x^2}{125}+\frac{3\,\sqrt{14}\,\mathrm{atan}\left(\frac{\frac{3\,\sqrt{14}\,\left(353125\,d^3-855175\,d^2\,e+74085\,d\,e^2+556349\,e^3\right)}{68600000}+\frac{3\,\sqrt{14}\,x\,\left(353125\,d^3-855175\,d^2\,e+74085\,d\,e^2+556349\,e^3\right)}{13720000}}{\frac{339\,d^3}{1568}-\frac{102621\,d^2\,e}{196000}+\frac{44451\,d\,e^2}{980000}+\frac{1669047\,e^3}{4900000}}\right)\,\left(353125\,d^3-855175\,d^2\,e+74085\,d\,e^2+556349\,e^3\right)}{68600000}","Not used",1,"x*((e^2*(12*d - 5*e))/125 - (24*e^3)/625) - ((1154655*d*e^2)/1568 + (292995*d^2*e)/1568 + x*((1828125*d*e^2)/1568 - (866415*d^2*e)/1568 - (449475*d^3)/1568 + (511689*e^3)/7840) - (323825*d^3)/1568 - (1275957*e^3)/7840 + x^3*((1941585*d*e^2)/1568 - (2726475*d^2*e)/1568 - (275375*d^3)/1568 + (621801*e^3)/1568) - x^2*((424605*d^2*e)/1568 - (3204135*d*e^2)/1568 + (968825*d^3)/1568 + (1396037*e^3)/7840))/(7500*x + 21250*x^2 + 12500*x^3 + 15625*x^4 + 5625) + log(2*x + 5*x^2 + 3)*((6*d^2*e)/125 - (147*d*e^2)/1250 + (141*e^3)/6250) + (2*e^3*x^2)/125 + (3*14^(1/2)*atan(((3*14^(1/2)*(74085*d*e^2 - 855175*d^2*e + 353125*d^3 + 556349*e^3))/68600000 + (3*14^(1/2)*x*(74085*d*e^2 - 855175*d^2*e + 353125*d^3 + 556349*e^3))/13720000)/((44451*d*e^2)/980000 - (102621*d^2*e)/196000 + (339*d^3)/1568 + (1669047*e^3)/4900000))*(74085*d*e^2 - 855175*d^2*e + 353125*d^3 + 556349*e^3))/68600000","B"
319,1,203,134,4.213636,"\text{Not used}","int(((d + e*x)^2*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(2*x + 5*x^2 + 3)^3,x)","\frac{x^3\,\left(\frac{55075\,d^2}{1568}+\frac{181765\,d\,e}{784}-\frac{129439\,e^2}{1568}\right)+x^2\,\left(\frac{193765\,d^2}{1568}+\frac{28307\,d\,e}{784}-\frac{213609\,e^2}{1568}\right)-\frac{19533\,d\,e}{784}+x\,\left(\frac{89895\,d^2}{1568}+\frac{57761\,d\,e}{784}-\frac{121875\,e^2}{1568}\right)+\frac{64765\,d^2}{1568}-\frac{76977\,e^2}{1568}}{3125\,x^4+2500\,x^3+4250\,x^2+1500\,x+1125}+\frac{4\,e^2\,x}{125}+\ln\left(5\,x^2+2\,x+3\right)\,\left(\frac{4\,d\,e}{125}-\frac{49\,e^2}{1250}\right)+\frac{\sqrt{14}\,\mathrm{atan}\left(\frac{\frac{\sqrt{14}\,\left(211875\,d^2-342070\,d\,e+14817\,e^2\right)}{13720000}+\frac{\sqrt{14}\,x\,\left(211875\,d^2-342070\,d\,e+14817\,e^2\right)}{2744000}}{\frac{339\,d^2}{1568}-\frac{34207\,d\,e}{98000}+\frac{14817\,e^2}{980000}}\right)\,\left(211875\,d^2-342070\,d\,e+14817\,e^2\right)}{13720000}","Not used",1,"(x^3*((181765*d*e)/784 + (55075*d^2)/1568 - (129439*e^2)/1568) + x^2*((28307*d*e)/784 + (193765*d^2)/1568 - (213609*e^2)/1568) - (19533*d*e)/784 + x*((57761*d*e)/784 + (89895*d^2)/1568 - (121875*e^2)/1568) + (64765*d^2)/1568 - (76977*e^2)/1568)/(1500*x + 4250*x^2 + 2500*x^3 + 3125*x^4 + 1125) + (4*e^2*x)/125 + log(2*x + 5*x^2 + 3)*((4*d*e)/125 - (49*e^2)/1250) + (14^(1/2)*atan(((14^(1/2)*(211875*d^2 - 342070*d*e + 14817*e^2))/13720000 + (14^(1/2)*x*(211875*d^2 - 342070*d*e + 14817*e^2))/2744000)/((339*d^2)/1568 - (34207*d*e)/98000 + (14817*e^2)/980000))*(211875*d^2 - 342070*d*e + 14817*e^2))/13720000","B"
320,1,125,103,0.119744,"\text{Not used}","int(((d + e*x)*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(2*x + 5*x^2 + 3)^3,x)","\frac{\left(\frac{2203\,d}{7840}+\frac{36353\,e}{39200}\right)\,x^3+\left(\frac{38753\,d}{39200}+\frac{28307\,e}{196000}\right)\,x^2+\left(\frac{17979\,d}{39200}+\frac{57761\,e}{196000}\right)\,x+\frac{12953\,d}{39200}-\frac{19533\,e}{196000}}{25\,x^4+20\,x^3+34\,x^2+12\,x+9}+\frac{2\,e\,\ln\left(5\,x^2+2\,x+3\right)}{125}+\frac{\sqrt{14}\,\mathrm{atan}\left(\frac{\frac{\sqrt{14}\,\left(42375\,d-34207\,e\right)}{2744000}+\frac{\sqrt{14}\,x\,\left(42375\,d-34207\,e\right)}{548800}}{\frac{339\,d}{1568}-\frac{34207\,e}{196000}}\right)\,\left(42375\,d-34207\,e\right)}{2744000}","Not used",1,"((12953*d)/39200 - (19533*e)/196000 + x^3*((2203*d)/7840 + (36353*e)/39200) + x^2*((38753*d)/39200 + (28307*e)/196000) + x*((17979*d)/39200 + (57761*e)/196000))/(12*x + 34*x^2 + 20*x^3 + 25*x^4 + 9) + (2*e*log(2*x + 5*x^2 + 3))/125 + (14^(1/2)*atan(((14^(1/2)*(42375*d - 34207*e))/2744000 + (14^(1/2)*x*(42375*d - 34207*e))/548800)/((339*d)/1568 - (34207*e)/196000))*(42375*d - 34207*e))/2744000","B"
321,1,55,64,0.049027,"\text{Not used}","int((x + 3*x^2 - 5*x^3 + 4*x^4 + 2)/(2*x + 5*x^2 + 3)^3,x)","\frac{339\,\sqrt{14}\,\mathrm{atan}\left(\frac{5\,\sqrt{14}\,x}{14}+\frac{\sqrt{14}}{14}\right)}{21952}+\frac{\frac{2203\,x^3}{196000}+\frac{38753\,x^2}{980000}+\frac{17979\,x}{980000}+\frac{12953}{980000}}{x^4+\frac{4\,x^3}{5}+\frac{34\,x^2}{25}+\frac{12\,x}{25}+\frac{9}{25}}","Not used",1,"(339*14^(1/2)*atan((5*14^(1/2)*x)/14 + 14^(1/2)/14))/21952 + ((17979*x)/980000 + (38753*x^2)/980000 + (2203*x^3)/196000 + 12953/980000)/((12*x)/25 + (34*x^2)/25 + (4*x^3)/5 + x^4 + 9/25)","B"
322,1,641,329,4.793497,"\text{Not used}","int((x + 3*x^2 - 5*x^3 + 4*x^4 + 2)/((d + e*x)*(2*x + 5*x^2 + 3)^3),x)","\frac{\frac{x\,\left(89895\,d^3-129677\,d^2\,e+46591\,d\,e^2-3737\,e^3\right)}{7840\,\left(25\,d^4-20\,d^3\,e+34\,d^2\,e^2-12\,d\,e^3+9\,e^4\right)}-\frac{-64765\,d^3+32279\,d^2\,e+4523\,d\,e^2-6021\,e^3}{7840\,\left(25\,d^4-20\,d^3\,e+34\,d^2\,e^2-12\,d\,e^3+9\,e^4\right)}+\frac{5\,x^3\,\left(2203\,d^3-9033\,d^2\,e+3635\,d\,e^2-1829\,e^3\right)}{1568\,\left(25\,d^4-20\,d^3\,e+34\,d^2\,e^2-12\,d\,e^3+9\,e^4\right)}+\frac{x^2\,\left(193765\,d^3-183319\,d^2\,e+72557\,d\,e^2-16459\,e^3\right)}{7840\,\left(25\,d^4-20\,d^3\,e+34\,d^2\,e^2-12\,d\,e^3+9\,e^4\right)}}{25\,x^4+20\,x^3+34\,x^2+12\,x+9}+\ln\left(d+e\,x\right)\,\left(\frac{4\,e}{25\,\left(5\,d^2-2\,d\,e+3\,e^2\right)}+\frac{e^2\,\left(205\,d+21\,e\right)}{125\,{\left(5\,d^2-2\,d\,e+3\,e^2\right)}^2}-\frac{e^4\,\left(458\,d-7\,e\right)}{125\,{\left(5\,d^2-2\,d\,e+3\,e^2\right)}^3}\right)-\frac{\ln\left(x+\frac{1}{5}-\frac{\sqrt{14}\,1{}\mathrm{i}}{5}\right)\,\left(-\frac{42375\,\sqrt{14}\,d^5}{43904}+\left(\frac{16643\,\sqrt{14}}{43904}+2{}\mathrm{i}\right)\,d^4\,e+\left(-\frac{29265\,\sqrt{14}}{21952}+\frac{5}{2}{}\mathrm{i}\right)\,d^3\,e^2+\left(\frac{28029\,\sqrt{14}}{21952}+\frac{3}{2}{}\mathrm{i}\right)\,d^2\,e^3+\left(-\frac{31811\,\sqrt{14}}{43904}-\frac{1}{2}{}\mathrm{i}\right)\,d\,e^4+\left(\frac{8623\,\sqrt{14}}{43904}+1{}\mathrm{i}\right)\,e^5\right)}{d^6\,125{}\mathrm{i}-d^5\,e\,150{}\mathrm{i}+d^4\,e^2\,285{}\mathrm{i}-d^3\,e^3\,188{}\mathrm{i}+d^2\,e^4\,171{}\mathrm{i}-d\,e^5\,54{}\mathrm{i}+e^6\,27{}\mathrm{i}}+\frac{\ln\left(x+\frac{1}{5}+\frac{\sqrt{14}\,1{}\mathrm{i}}{5}\right)\,\left(-\frac{42375\,\sqrt{14}\,d^5}{43904}+\left(\frac{16643\,\sqrt{14}}{43904}-2{}\mathrm{i}\right)\,d^4\,e+\left(-\frac{29265\,\sqrt{14}}{21952}-\frac{5}{2}{}\mathrm{i}\right)\,d^3\,e^2+\left(\frac{28029\,\sqrt{14}}{21952}-\frac{3}{2}{}\mathrm{i}\right)\,d^2\,e^3+\left(-\frac{31811\,\sqrt{14}}{43904}+\frac{1}{2}{}\mathrm{i}\right)\,d\,e^4+\left(\frac{8623\,\sqrt{14}}{43904}-\mathrm{i}\right)\,e^5\right)}{d^6\,125{}\mathrm{i}-d^5\,e\,150{}\mathrm{i}+d^4\,e^2\,285{}\mathrm{i}-d^3\,e^3\,188{}\mathrm{i}+d^2\,e^4\,171{}\mathrm{i}-d\,e^5\,54{}\mathrm{i}+e^6\,27{}\mathrm{i}}","Not used",1,"((x*(46591*d*e^2 - 129677*d^2*e + 89895*d^3 - 3737*e^3))/(7840*(25*d^4 - 20*d^3*e - 12*d*e^3 + 9*e^4 + 34*d^2*e^2)) - (4523*d*e^2 + 32279*d^2*e - 64765*d^3 - 6021*e^3)/(7840*(25*d^4 - 20*d^3*e - 12*d*e^3 + 9*e^4 + 34*d^2*e^2)) + (5*x^3*(3635*d*e^2 - 9033*d^2*e + 2203*d^3 - 1829*e^3))/(1568*(25*d^4 - 20*d^3*e - 12*d*e^3 + 9*e^4 + 34*d^2*e^2)) + (x^2*(72557*d*e^2 - 183319*d^2*e + 193765*d^3 - 16459*e^3))/(7840*(25*d^4 - 20*d^3*e - 12*d*e^3 + 9*e^4 + 34*d^2*e^2)))/(12*x + 34*x^2 + 20*x^3 + 25*x^4 + 9) + log(d + e*x)*((4*e)/(25*(5*d^2 - 2*d*e + 3*e^2)) + (e^2*(205*d + 21*e))/(125*(5*d^2 - 2*d*e + 3*e^2)^2) - (e^4*(458*d - 7*e))/(125*(5*d^2 - 2*d*e + 3*e^2)^3)) - (log(x - (14^(1/2)*1i)/5 + 1/5)*(e^5*((8623*14^(1/2))/43904 + 1i) - (42375*14^(1/2)*d^5)/43904 + d^2*e^3*((28029*14^(1/2))/21952 + 3i/2) - d^3*e^2*((29265*14^(1/2))/21952 - 5i/2) + d^4*e*((16643*14^(1/2))/43904 + 2i) - d*e^4*((31811*14^(1/2))/43904 + 1i/2)))/(d^6*125i - d^5*e*150i - d*e^5*54i + e^6*27i + d^2*e^4*171i - d^3*e^3*188i + d^4*e^2*285i) + (log(x + (14^(1/2)*1i)/5 + 1/5)*(e^5*((8623*14^(1/2))/43904 - 1i) - (42375*14^(1/2)*d^5)/43904 + d^2*e^3*((28029*14^(1/2))/21952 - 3i/2) - d^3*e^2*((29265*14^(1/2))/21952 + 5i/2) + d^4*e*((16643*14^(1/2))/43904 - 2i) - d*e^4*((31811*14^(1/2))/43904 - 1i/2)))/(d^6*125i - d^5*e*150i - d*e^5*54i + e^6*27i + d^2*e^4*171i - d^3*e^3*188i + d^4*e^2*285i)","B"
323,1,965,443,4.988642,"\text{Not used}","int((x + 3*x^2 - 5*x^3 + 4*x^4 + 2)/((d + e*x)^2*(2*x + 5*x^2 + 3)^3),x)","\ln\left(d+e\,x\right)\,\left(\frac{2\,e^3\,\left(620\,d-2417\,e\right)}{125\,{\left(5\,d^2-2\,d\,e+3\,e^2\right)}^3}-\frac{6\,e^5\,\left(423\,d-1367\,e\right)}{125\,{\left(5\,d^2-2\,d\,e+3\,e^2\right)}^4}+\frac{e\,\left(8\,d+23\,e\right)}{5\,{\left(5\,d^2-2\,d\,e+3\,e^2\right)}^2}\right)-\frac{\frac{3\,x\,\left(-29965\,d^5+77965\,d^4\,e+51590\,d^3\,e^2+21522\,d^2\,e^3-19493\,d\,e^4+13245\,e^5\right)}{1568\,\left(125\,d^6-150\,d^5\,e+285\,d^4\,e^2-188\,d^3\,e^3+171\,d^2\,e^4-54\,d\,e^5+27\,e^6\right)}-\frac{64765\,d^5-95100\,d^4\,e-200706\,d^3\,e^2+22292\,d^2\,e^3+12009\,d\,e^4-28224\,e^5}{1568\,\left(125\,d^6-150\,d^5\,e+285\,d^4\,e^2-188\,d^3\,e^3+171\,d^2\,e^4-54\,d\,e^5+27\,e^6\right)}+\frac{5\,x^4\,\left(20345\,d^4\,e+125124\,d^3\,e^2-11178\,d^2\,e^3-18188\,d\,e^4+19269\,e^5\right)}{1568\,\left(125\,d^6-150\,d^5\,e+285\,d^4\,e^2-188\,d^3\,e^3+171\,d^2\,e^4-54\,d\,e^5+27\,e^6\right)}+\frac{x^3\,\left(-55075\,d^5+361295\,d^4\,e+272442\,d^3\,e^2+173446\,d^2\,e^3-138539\,d\,e^4+93087\,e^5\right)}{1568\,\left(125\,d^6-150\,d^5\,e+285\,d^4\,e^2-188\,d^3\,e^3+171\,d^2\,e^4-54\,d\,e^5+27\,e^6\right)}+\frac{x^2\,\left(-193765\,d^5+412485\,d^4\,e+621062\,d^3\,e^2+56850\,d^2\,e^3-144973\,d\,e^4+131589\,e^5\right)}{1568\,\left(125\,d^6-150\,d^5\,e+285\,d^4\,e^2-188\,d^3\,e^3+171\,d^2\,e^4-54\,d\,e^5+27\,e^6\right)}}{25\,e\,x^5+\left(25\,d+20\,e\right)\,x^4+\left(20\,d+34\,e\right)\,x^3+\left(34\,d+12\,e\right)\,x^2+\left(12\,d+9\,e\right)\,x+9\,d}+\frac{\ln\left(x+\frac{1}{5}-\frac{\sqrt{14}\,1{}\mathrm{i}}{5}\right)\,\left(\frac{211875\,\sqrt{14}\,d^6}{43904}+\left(\frac{1535\,\sqrt{14}}{21952}-20{}\mathrm{i}\right)\,d^5\,e+\left(\frac{209039\,\sqrt{14}}{43904}-\frac{83}{2}{}\mathrm{i}\right)\,d^4\,e^2+\left(-\frac{230361\,\sqrt{14}}{10976}-6{}\mathrm{i}\right)\,d^3\,e^3+\left(\frac{380621\,\sqrt{14}}{43904}+38{}\mathrm{i}\right)\,d^2\,e^4+\left(-\frac{24793\,\sqrt{14}}{21952}-23{}\mathrm{i}\right)\,d\,e^5+\left(-\frac{43695\,\sqrt{14}}{43904}+\frac{9}{2}{}\mathrm{i}\right)\,e^6\right)}{d^8\,625{}\mathrm{i}-d^7\,e\,1000{}\mathrm{i}+d^6\,e^2\,2100{}\mathrm{i}-d^5\,e^3\,1960{}\mathrm{i}+d^4\,e^4\,2086{}\mathrm{i}-d^3\,e^5\,1176{}\mathrm{i}+d^2\,e^6\,756{}\mathrm{i}-d\,e^7\,216{}\mathrm{i}+e^8\,81{}\mathrm{i}}-\frac{\ln\left(x+\frac{1}{5}+\frac{\sqrt{14}\,1{}\mathrm{i}}{5}\right)\,\left(\frac{211875\,\sqrt{14}\,d^6}{43904}+\left(\frac{1535\,\sqrt{14}}{21952}+20{}\mathrm{i}\right)\,d^5\,e+\left(\frac{209039\,\sqrt{14}}{43904}+\frac{83}{2}{}\mathrm{i}\right)\,d^4\,e^2+\left(-\frac{230361\,\sqrt{14}}{10976}+6{}\mathrm{i}\right)\,d^3\,e^3+\left(\frac{380621\,\sqrt{14}}{43904}-38{}\mathrm{i}\right)\,d^2\,e^4+\left(-\frac{24793\,\sqrt{14}}{21952}+23{}\mathrm{i}\right)\,d\,e^5+\left(-\frac{43695\,\sqrt{14}}{43904}-\frac{9}{2}{}\mathrm{i}\right)\,e^6\right)}{d^8\,625{}\mathrm{i}-d^7\,e\,1000{}\mathrm{i}+d^6\,e^2\,2100{}\mathrm{i}-d^5\,e^3\,1960{}\mathrm{i}+d^4\,e^4\,2086{}\mathrm{i}-d^3\,e^5\,1176{}\mathrm{i}+d^2\,e^6\,756{}\mathrm{i}-d\,e^7\,216{}\mathrm{i}+e^8\,81{}\mathrm{i}}","Not used",1,"log(d + e*x)*((2*e^3*(620*d - 2417*e))/(125*(5*d^2 - 2*d*e + 3*e^2)^3) - (6*e^5*(423*d - 1367*e))/(125*(5*d^2 - 2*d*e + 3*e^2)^4) + (e*(8*d + 23*e))/(5*(5*d^2 - 2*d*e + 3*e^2)^2)) - ((3*x*(77965*d^4*e - 19493*d*e^4 - 29965*d^5 + 13245*e^5 + 21522*d^2*e^3 + 51590*d^3*e^2))/(1568*(125*d^6 - 150*d^5*e - 54*d*e^5 + 27*e^6 + 171*d^2*e^4 - 188*d^3*e^3 + 285*d^4*e^2)) - (12009*d*e^4 - 95100*d^4*e + 64765*d^5 - 28224*e^5 + 22292*d^2*e^3 - 200706*d^3*e^2)/(1568*(125*d^6 - 150*d^5*e - 54*d*e^5 + 27*e^6 + 171*d^2*e^4 - 188*d^3*e^3 + 285*d^4*e^2)) + (5*x^4*(20345*d^4*e - 18188*d*e^4 + 19269*e^5 - 11178*d^2*e^3 + 125124*d^3*e^2))/(1568*(125*d^6 - 150*d^5*e - 54*d*e^5 + 27*e^6 + 171*d^2*e^4 - 188*d^3*e^3 + 285*d^4*e^2)) + (x^3*(361295*d^4*e - 138539*d*e^4 - 55075*d^5 + 93087*e^5 + 173446*d^2*e^3 + 272442*d^3*e^2))/(1568*(125*d^6 - 150*d^5*e - 54*d*e^5 + 27*e^6 + 171*d^2*e^4 - 188*d^3*e^3 + 285*d^4*e^2)) + (x^2*(412485*d^4*e - 144973*d*e^4 - 193765*d^5 + 131589*e^5 + 56850*d^2*e^3 + 621062*d^3*e^2))/(1568*(125*d^6 - 150*d^5*e - 54*d*e^5 + 27*e^6 + 171*d^2*e^4 - 188*d^3*e^3 + 285*d^4*e^2)))/(9*d + x^2*(34*d + 12*e) + x^4*(25*d + 20*e) + x^3*(20*d + 34*e) + 25*e*x^5 + x*(12*d + 9*e)) + (log(x - (14^(1/2)*1i)/5 + 1/5)*((211875*14^(1/2)*d^6)/43904 - e^6*((43695*14^(1/2))/43904 - 9i/2) - d^3*e^3*((230361*14^(1/2))/10976 + 6i) + d^4*e^2*((209039*14^(1/2))/43904 - 83i/2) + d^2*e^4*((380621*14^(1/2))/43904 + 38i) + d^5*e*((1535*14^(1/2))/21952 - 20i) - d*e^5*((24793*14^(1/2))/21952 + 23i)))/(d^8*625i - d^7*e*1000i - d*e^7*216i + e^8*81i + d^2*e^6*756i - d^3*e^5*1176i + d^4*e^4*2086i - d^5*e^3*1960i + d^6*e^2*2100i) - (log(x + (14^(1/2)*1i)/5 + 1/5)*((211875*14^(1/2)*d^6)/43904 - e^6*((43695*14^(1/2))/43904 + 9i/2) - d^3*e^3*((230361*14^(1/2))/10976 - 6i) + d^4*e^2*((209039*14^(1/2))/43904 + 83i/2) + d^2*e^4*((380621*14^(1/2))/43904 - 38i) + d^5*e*((1535*14^(1/2))/21952 + 20i) - d*e^5*((24793*14^(1/2))/21952 - 23i)))/(d^8*625i - d^7*e*1000i - d*e^7*216i + e^8*81i + d^2*e^6*756i - d^3*e^5*1176i + d^4*e^4*2086i - d^5*e^3*1960i + d^6*e^2*2100i)","B"
324,1,170,143,1.716417,"\text{Not used}","int((2*x + 5)*(2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2),x)","\frac{283\,x^2\,{\left(2\,x^2-x+3\right)}^{3/2}}{1120}+\frac{377\,x^3\,{\left(2\,x^2-x+3\right)}^{3/2}}{168}+\frac{5\,x^4\,{\left(2\,x^2-x+3\right)}^{3/2}}{7}+\frac{4478951\,\sqrt{2}\,\ln\left(\sqrt{2\,x^2-x+3}+\frac{\sqrt{2}\,\left(2\,x-\frac{1}{2}\right)}{2}\right)}{573440}+\frac{194737\,\left(\frac{x}{2}-\frac{1}{8}\right)\,\sqrt{2\,x^2-x+3}}{17920}+\frac{242329\,\sqrt{2\,x^2-x+3}\,\left(32\,x^2-4\,x+45\right)}{3440640}-\frac{5179\,x\,{\left(2\,x^2-x+3\right)}^{3/2}}{17920}+\frac{5573567\,\sqrt{2}\,\ln\left(2\,\sqrt{2\,x^2-x+3}+\frac{\sqrt{2}\,\left(4\,x-1\right)}{2}\right)}{4587520}","Not used",1,"(283*x^2*(2*x^2 - x + 3)^(3/2))/1120 + (377*x^3*(2*x^2 - x + 3)^(3/2))/168 + (5*x^4*(2*x^2 - x + 3)^(3/2))/7 + (4478951*2^(1/2)*log((2*x^2 - x + 3)^(1/2) + (2^(1/2)*(2*x - 1/2))/2))/573440 + (194737*(x/2 - 1/8)*(2*x^2 - x + 3)^(1/2))/17920 + (242329*(2*x^2 - x + 3)^(1/2)*(32*x^2 - 4*x + 45))/3440640 - (5179*x*(2*x^2 - x + 3)^(3/2))/17920 + (5573567*2^(1/2)*log(2*(2*x^2 - x + 3)^(1/2) + (2^(1/2)*(4*x - 1))/2))/4587520","B"
325,1,153,124,0.767260,"\text{Not used}","int((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2),x)","\frac{7\,x^2\,{\left(2\,x^2-x+3\right)}^{3/2}}{80}+\frac{5\,x^3\,{\left(2\,x^2-x+3\right)}^{3/2}}{12}+\frac{63779\,\sqrt{2}\,\ln\left(\sqrt{2\,x^2-x+3}+\frac{\sqrt{2}\,\left(2\,x-\frac{1}{2}\right)}{2}\right)}{40960}+\frac{2773\,\left(\frac{x}{2}-\frac{1}{8}\right)\,\sqrt{2\,x^2-x+3}}{1280}+\frac{287\,\sqrt{2\,x^2-x+3}\,\left(32\,x^2-4\,x+45\right)}{81920}-\frac{71\,x\,{\left(2\,x^2-x+3\right)}^{3/2}}{1280}+\frac{19803\,\sqrt{2}\,\ln\left(2\,\sqrt{2\,x^2-x+3}+\frac{\sqrt{2}\,\left(4\,x-1\right)}{2}\right)}{327680}","Not used",1,"(7*x^2*(2*x^2 - x + 3)^(3/2))/80 + (5*x^3*(2*x^2 - x + 3)^(3/2))/12 + (63779*2^(1/2)*log((2*x^2 - x + 3)^(1/2) + (2^(1/2)*(2*x - 1/2))/2))/40960 + (2773*(x/2 - 1/8)*(2*x^2 - x + 3)^(1/2))/1280 + (287*(2*x^2 - x + 3)^(1/2)*(32*x^2 - 4*x + 45))/81920 - (71*x*(2*x^2 - x + 3)^(3/2))/1280 + (19803*2^(1/2)*log(2*(2*x^2 - x + 3)^(1/2) + (2^(1/2)*(4*x - 1))/2))/327680","B"
326,0,-1,149,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5),x)","\int \frac{\sqrt{2\,x^2-x+3}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{2\,x+5} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5), x)","F"
327,0,-1,149,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^2,x)","\int \frac{\sqrt{2\,x^2-x+3}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x+5\right)}^2} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^2, x)","F"
328,0,-1,151,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^3,x)","\int \frac{\sqrt{2\,x^2-x+3}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x+5\right)}^3} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^3, x)","F"
329,0,-1,158,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^4,x)","\int \frac{\sqrt{2\,x^2-x+3}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x+5\right)}^4} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^4, x)","F"
330,0,-1,165,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^5,x)","\int \frac{\sqrt{2\,x^2-x+3}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x+5\right)}^5} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^5, x)","F"
331,0,-1,165,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^6,x)","\int \frac{\sqrt{2\,x^2-x+3}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x+5\right)}^6} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^6, x)","F"
332,0,-1,169,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^7,x)","\int \frac{\sqrt{2\,x^2-x+3}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x+5\right)}^7} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^7, x)","F"
333,0,-1,194,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^8,x)","\int \frac{\sqrt{2\,x^2-x+3}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x+5\right)}^8} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(1/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^8, x)","F"
334,0,-1,166,0.000000,"\text{Not used}","int((2*x + 5)*(2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2),x)","\int \left(2\,x+5\right)\,{\left(2\,x^2-x+3\right)}^{3/2}\,\left(5\,x^4-x^3+3\,x^2+x+2\right) \,d x","Not used",1,"int((2*x + 5)*(2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2), x)","F"
335,0,-1,147,0.000000,"\text{Not used}","int((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2),x)","\int {\left(2\,x^2-x+3\right)}^{3/2}\,\left(5\,x^4-x^3+3\,x^2+x+2\right) \,d x","Not used",1,"int((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2), x)","F"
336,0,-1,172,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5),x)","\int \frac{{\left(2\,x^2-x+3\right)}^{3/2}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{2\,x+5} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5), x)","F"
337,0,-1,172,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^2,x)","\int \frac{{\left(2\,x^2-x+3\right)}^{3/2}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x+5\right)}^2} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^2, x)","F"
338,0,-1,174,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^3,x)","\int \frac{{\left(2\,x^2-x+3\right)}^{3/2}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x+5\right)}^3} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^3, x)","F"
339,0,-1,181,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^4,x)","\int \frac{{\left(2\,x^2-x+3\right)}^{3/2}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x+5\right)}^4} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^4, x)","F"
340,0,-1,188,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^5,x)","\int \frac{{\left(2\,x^2-x+3\right)}^{3/2}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x+5\right)}^5} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^5, x)","F"
341,0,-1,195,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^6,x)","\int \frac{{\left(2\,x^2-x+3\right)}^{3/2}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x+5\right)}^6} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^6, x)","F"
342,0,-1,195,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^7,x)","\int \frac{{\left(2\,x^2-x+3\right)}^{3/2}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x+5\right)}^7} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^7, x)","F"
343,0,-1,195,0.000000,"\text{Not used}","int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^8,x)","\int \frac{{\left(2\,x^2-x+3\right)}^{3/2}\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x+5\right)}^8} \,d x","Not used",1,"int(((2*x^2 - x + 3)^(3/2)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x + 5)^8, x)","F"
344,0,-1,120,0.000000,"\text{Not used}","int(((2*x + 5)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x^2 - x + 3)^(1/2),x)","\int \frac{\left(2\,x+5\right)\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{\sqrt{2\,x^2-x+3}} \,d x","Not used",1,"int(((2*x + 5)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x^2 - x + 3)^(1/2), x)","F"
345,0,-1,101,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/(2*x^2 - x + 3)^(1/2),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{\sqrt{2\,x^2-x+3}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/(2*x^2 - x + 3)^(1/2), x)","F"
346,0,-1,126,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)*(2*x^2 - x + 3)^(1/2)),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{\left(2\,x+5\right)\,\sqrt{2\,x^2-x+3}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)*(2*x^2 - x + 3)^(1/2)), x)","F"
347,0,-1,126,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^2*(2*x^2 - x + 3)^(1/2)),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{{\left(2\,x+5\right)}^2\,\sqrt{2\,x^2-x+3}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^2*(2*x^2 - x + 3)^(1/2)), x)","F"
348,0,-1,128,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^3*(2*x^2 - x + 3)^(1/2)),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{{\left(2\,x+5\right)}^3\,\sqrt{2\,x^2-x+3}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^3*(2*x^2 - x + 3)^(1/2)), x)","F"
349,0,-1,135,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^4*(2*x^2 - x + 3)^(1/2)),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{{\left(2\,x+5\right)}^4\,\sqrt{2\,x^2-x+3}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^4*(2*x^2 - x + 3)^(1/2)), x)","F"
350,0,-1,139,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^5*(2*x^2 - x + 3)^(1/2)),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{{\left(2\,x+5\right)}^5\,\sqrt{2\,x^2-x+3}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^5*(2*x^2 - x + 3)^(1/2)), x)","F"
351,0,-1,124,0.000000,"\text{Not used}","int(((2*x + 5)^2*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x^2 - x + 3)^(3/2),x)","\int \frac{{\left(2\,x+5\right)}^2\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x^2-x+3\right)}^{3/2}} \,d x","Not used",1,"int(((2*x + 5)^2*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x^2 - x + 3)^(3/2), x)","F"
352,0,-1,103,0.000000,"\text{Not used}","int(((2*x + 5)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x^2 - x + 3)^(3/2),x)","\int \frac{\left(2\,x+5\right)\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x^2-x+3\right)}^{3/2}} \,d x","Not used",1,"int(((2*x + 5)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x^2 - x + 3)^(3/2), x)","F"
353,0,-1,82,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/(2*x^2 - x + 3)^(3/2),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{{\left(2\,x^2-x+3\right)}^{3/2}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/(2*x^2 - x + 3)^(3/2), x)","F"
354,0,-1,101,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)*(2*x^2 - x + 3)^(3/2)),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{\left(2\,x+5\right)\,{\left(2\,x^2-x+3\right)}^{3/2}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)*(2*x^2 - x + 3)^(3/2)), x)","F"
355,0,-1,108,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^2*(2*x^2 - x + 3)^(3/2)),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{{\left(2\,x+5\right)}^2\,{\left(2\,x^2-x+3\right)}^{3/2}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^2*(2*x^2 - x + 3)^(3/2)), x)","F"
356,0,-1,112,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^3*(2*x^2 - x + 3)^(3/2)),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{{\left(2\,x+5\right)}^3\,{\left(2\,x^2-x+3\right)}^{3/2}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^3*(2*x^2 - x + 3)^(3/2)), x)","F"
357,0,-1,137,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^4*(2*x^2 - x + 3)^(3/2)),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{{\left(2\,x+5\right)}^4\,{\left(2\,x^2-x+3\right)}^{3/2}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^4*(2*x^2 - x + 3)^(3/2)), x)","F"
358,0,-1,105,0.000000,"\text{Not used}","int(((2*x + 5)^2*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x^2 - x + 3)^(5/2),x)","\int \frac{{\left(2\,x+5\right)}^2\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x^2-x+3\right)}^{5/2}} \,d x","Not used",1,"int(((2*x + 5)^2*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x^2 - x + 3)^(5/2), x)","F"
359,0,-1,86,0.000000,"\text{Not used}","int(((2*x + 5)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x^2 - x + 3)^(5/2),x)","\int \frac{\left(2\,x+5\right)\,\left(5\,x^4-x^3+3\,x^2+x+2\right)}{{\left(2\,x^2-x+3\right)}^{5/2}} \,d x","Not used",1,"int(((2*x + 5)*(x + 3*x^2 - x^3 + 5*x^4 + 2))/(2*x^2 - x + 3)^(5/2), x)","F"
360,0,-1,68,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/(2*x^2 - x + 3)^(5/2),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{{\left(2\,x^2-x+3\right)}^{5/2}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/(2*x^2 - x + 3)^(5/2), x)","F"
361,0,-1,85,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)*(2*x^2 - x + 3)^(5/2)),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{\left(2\,x+5\right)\,{\left(2\,x^2-x+3\right)}^{5/2}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)*(2*x^2 - x + 3)^(5/2)), x)","F"
362,0,-1,110,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^2*(2*x^2 - x + 3)^(5/2)),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{{\left(2\,x+5\right)}^2\,{\left(2\,x^2-x+3\right)}^{5/2}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^2*(2*x^2 - x + 3)^(5/2)), x)","F"
363,0,-1,135,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^3*(2*x^2 - x + 3)^(5/2)),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{{\left(2\,x+5\right)}^3\,{\left(2\,x^2-x+3\right)}^{5/2}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^3*(2*x^2 - x + 3)^(5/2)), x)","F"
364,0,-1,160,0.000000,"\text{Not used}","int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^4*(2*x^2 - x + 3)^(5/2)),x)","\int \frac{5\,x^4-x^3+3\,x^2+x+2}{{\left(2\,x+5\right)}^4\,{\left(2\,x^2-x+3\right)}^{5/2}} \,d x","Not used",1,"int((x + 3*x^2 - x^3 + 5*x^4 + 2)/((2*x + 5)^4*(2*x^2 - x + 3)^(5/2)), x)","F"
365,0,-1,354,0.000000,"\text{Not used}","int((f + g*x + h*x^2 + i*x^3 + j*x^4)/(a + b*x + c*x^2)^(5/2),x)","\int \frac{j\,x^4+i\,x^3+h\,x^2+g\,x+f}{{\left(c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((f + g*x + h*x^2 + i*x^3 + j*x^4)/(a + b*x + c*x^2)^(5/2), x)","F"
366,0,-1,353,0.000000,"\text{Not used}","int((f + g*x + h*x^2 + i*x^3 + j*x^4)/(a + b*x - c*x^2)^(5/2),x)","\int \frac{j\,x^4+i\,x^3+h\,x^2+g\,x+f}{{\left(-c\,x^2+b\,x+a\right)}^{5/2}} \,d x","Not used",1,"int((f + g*x + h*x^2 + i*x^3 + j*x^4)/(a + b*x - c*x^2)^(5/2), x)","F"
367,1,4341,588,8.391972,"\text{Not used}","int((d + e*x)^m*(2*x + 5*x^2 + 3)^3*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2),x)","\frac{500\,x^{11}\,{\left(d+e\,x\right)}^m\,\left(m^{10}+55\,m^9+1320\,m^8+18150\,m^7+157773\,m^6+902055\,m^5+3416930\,m^4+8409500\,m^3+12753576\,m^2+10628640\,m+3628800\right)}{m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800}+\frac{{\left(d+e\,x\right)}^m\,\left(1814400000\,d^{11}+9072000\,d^{10}\,e\,m+99792000\,d^{10}\,e+30844800\,d^9\,e^2\,m^2+647740800\,d^9\,e^2\,m+3392928000\,d^9\,e^2+493920\,d^8\,e^3\,m^3+14817600\,d^8\,e^3\,m^2+147682080\,d^8\,e^3\,m+488980800\,d^8\,e^3+719280\,d^7\,e^4\,m^4+27332640\,d^7\,e^4\,m^3+387691920\,d^7\,e^4\,m^2+2432604960\,d^7\,e^4\,m+5696697600\,d^7\,e^4-61200\,d^6\,e^5\,m^5-2754000\,d^6\,e^5\,m^4-49266000\,d^6\,e^5\,m^3-437886000\,d^6\,e^5\,m^2-1933552800\,d^6\,e^5\,m-3392928000\,d^6\,e^5+26616\,d^5\,e^6\,m^6+1357416\,d^5\,e^6\,m^5+28612200\,d^5\,e^6\,m^4+318992760\,d^5\,e^6\,m^3+1983530784\,d^5\,e^6\,m^2+6521026464\,d^5\,e^6\,m+8853546240\,d^5\,e^6-3444\,d^4\,e^7\,m^7-192864\,d^4\,e^7\,m^6-4580520\,d^4\,e^7\,m^5-59787840\,d^4\,e^7\,m^4-463042356\,d^4\,e^7\,m^3-2127097056\,d^4\,e^7\,m^2-5364581040\,d^4\,e^7\,m-5728060800\,d^4\,e^7+954\,d^3\,e^8\,m^8+57240\,d^3\,e^8\,m^7+1482516\,d^3\,e^8\,m^6+21636720\,d^3\,e^8\,m^5+194510106\,d^3\,e^8\,m^4+1102270680\,d^3\,e^8\,m^3+3842860824\,d^3\,e^8\,m^2+7530723360\,d^3\,e^8\,m+6346771200\,d^3\,e^8-135\,d^2\,e^9\,m^9-8505\,d^2\,e^9\,m^8-234090\,d^2\,e^9\,m^7-3691170\,d^2\,e^9\,m^6-36710415\,d^2\,e^9\,m^5-238556745\,d^2\,e^9\,m^4-1011746160\,d^2\,e^9\,m^3-2697071580\,d^2\,e^9\,m^2-4095133200\,d^2\,e^9\,m-2694384000\,d^2\,e^9+54\,d\,e^{10}\,m^{10}+3510\,d\,e^{10}\,m^9+100440\,d\,e^{10}\,m^8+1663740\,d\,e^{10}\,m^7+17637102\,d\,e^{10}\,m^6+124791030\,d\,e^{10}\,m^5+595543860\,d\,e^{10}\,m^4+1888225560\,d\,e^{10}\,m^3+3795710544\,d\,e^{10}\,m^2+4353860160\,d\,e^{10}\,m+2155507200\,d\,e^{10}\right)}{e^{11}\,\left(m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800\right)}+\frac{x\,{\left(d+e\,x\right)}^m\,\left(-1814400000\,d^{10}\,e\,m-9072000\,d^9\,e^2\,m^2-99792000\,d^9\,e^2\,m-30844800\,d^8\,e^3\,m^3-647740800\,d^8\,e^3\,m^2-3392928000\,d^8\,e^3\,m-493920\,d^7\,e^4\,m^4-14817600\,d^7\,e^4\,m^3-147682080\,d^7\,e^4\,m^2-488980800\,d^7\,e^4\,m-719280\,d^6\,e^5\,m^5-27332640\,d^6\,e^5\,m^4-387691920\,d^6\,e^5\,m^3-2432604960\,d^6\,e^5\,m^2-5696697600\,d^6\,e^5\,m+61200\,d^5\,e^6\,m^6+2754000\,d^5\,e^6\,m^5+49266000\,d^5\,e^6\,m^4+437886000\,d^5\,e^6\,m^3+1933552800\,d^5\,e^6\,m^2+3392928000\,d^5\,e^6\,m-26616\,d^4\,e^7\,m^7-1357416\,d^4\,e^7\,m^6-28612200\,d^4\,e^7\,m^5-318992760\,d^4\,e^7\,m^4-1983530784\,d^4\,e^7\,m^3-6521026464\,d^4\,e^7\,m^2-8853546240\,d^4\,e^7\,m+3444\,d^3\,e^8\,m^8+192864\,d^3\,e^8\,m^7+4580520\,d^3\,e^8\,m^6+59787840\,d^3\,e^8\,m^5+463042356\,d^3\,e^8\,m^4+2127097056\,d^3\,e^8\,m^3+5364581040\,d^3\,e^8\,m^2+5728060800\,d^3\,e^8\,m-954\,d^2\,e^9\,m^9-57240\,d^2\,e^9\,m^8-1482516\,d^2\,e^9\,m^7-21636720\,d^2\,e^9\,m^6-194510106\,d^2\,e^9\,m^5-1102270680\,d^2\,e^9\,m^4-3842860824\,d^2\,e^9\,m^3-7530723360\,d^2\,e^9\,m^2-6346771200\,d^2\,e^9\,m+135\,d\,e^{10}\,m^{10}+8505\,d\,e^{10}\,m^9+234090\,d\,e^{10}\,m^8+3691170\,d\,e^{10}\,m^7+36710415\,d\,e^{10}\,m^6+238556745\,d\,e^{10}\,m^5+1011746160\,d\,e^{10}\,m^4+2697071580\,d\,e^{10}\,m^3+4095133200\,d\,e^{10}\,m^2+2694384000\,d\,e^{10}\,m+54\,e^{11}\,m^{10}+3510\,e^{11}\,m^9+100440\,e^{11}\,m^8+1663740\,e^{11}\,m^7+17637102\,e^{11}\,m^6+124791030\,e^{11}\,m^5+595543860\,e^{11}\,m^4+1888225560\,e^{11}\,m^3+3795710544\,e^{11}\,m^2+4353860160\,e^{11}\,m+2155507200\,e^{11}\right)}{e^{11}\,\left(m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800\right)}+\frac{x^8\,{\left(d+e\,x\right)}^m\,\left(m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040\right)\,\left(45000\,d^3\,m+225\,d^2\,e\,m^2+2475\,d^2\,e\,m+765\,d\,e^2\,m^3+16065\,d\,e^2\,m^2+84150\,d\,e^2\,m-98\,e^3\,m^3-2940\,e^3\,m^2-29302\,e^3\,m-97020\,e^3\right)}{e^3\,\left(m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800\right)}+\frac{3\,x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(302400000\,d^9\,m+1512000\,d^8\,e\,m^2+16632000\,d^8\,e\,m+5140800\,d^7\,e^2\,m^3+107956800\,d^7\,e^2\,m^2+565488000\,d^7\,e^2\,m+82320\,d^6\,e^3\,m^4+2469600\,d^6\,e^3\,m^3+24613680\,d^6\,e^3\,m^2+81496800\,d^6\,e^3\,m+119880\,d^5\,e^4\,m^5+4555440\,d^5\,e^4\,m^4+64615320\,d^5\,e^4\,m^3+405434160\,d^5\,e^4\,m^2+949449600\,d^5\,e^4\,m-10200\,d^4\,e^5\,m^6-459000\,d^4\,e^5\,m^5-8211000\,d^4\,e^5\,m^4-72981000\,d^4\,e^5\,m^3-322258800\,d^4\,e^5\,m^2-565488000\,d^4\,e^5\,m+4436\,d^3\,e^6\,m^7+226236\,d^3\,e^6\,m^6+4768700\,d^3\,e^6\,m^5+53165460\,d^3\,e^6\,m^4+330588464\,d^3\,e^6\,m^3+1086837744\,d^3\,e^6\,m^2+1475591040\,d^3\,e^6\,m-574\,d^2\,e^7\,m^8-32144\,d^2\,e^7\,m^7-763420\,d^2\,e^7\,m^6-9964640\,d^2\,e^7\,m^5-77173726\,d^2\,e^7\,m^4-354516176\,d^2\,e^7\,m^3-894096840\,d^2\,e^7\,m^2-954676800\,d^2\,e^7\,m+159\,d\,e^8\,m^9+9540\,d\,e^8\,m^8+247086\,d\,e^8\,m^7+3606120\,d\,e^8\,m^6+32418351\,d\,e^8\,m^5+183711780\,d\,e^8\,m^4+640476804\,d\,e^8\,m^3+1255120560\,d\,e^8\,m^2+1057795200\,d\,e^8\,m+45\,e^9\,m^9+2835\,e^9\,m^8+78030\,e^9\,m^7+1230390\,e^9\,m^6+12236805\,e^9\,m^5+79518915\,e^9\,m^4+337248720\,e^9\,m^3+899023860\,e^9\,m^2+1365044400\,e^9\,m+898128000\,e^9\right)}{e^9\,\left(m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800\right)}+\frac{x^6\,{\left(d+e\,x\right)}^m\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)\,\left(2520000\,d^5\,m+12600\,d^4\,e\,m^2+138600\,d^4\,e\,m+42840\,d^3\,e^2\,m^3+899640\,d^3\,e^2\,m^2+4712400\,d^3\,e^2\,m+686\,d^2\,e^3\,m^4+20580\,d^2\,e^3\,m^3+205114\,d^2\,e^3\,m^2+679140\,d^2\,e^3\,m+999\,d\,e^4\,m^5+37962\,d\,e^4\,m^4+538461\,d\,e^4\,m^3+3378618\,d\,e^4\,m^2+7912080\,d\,e^4\,m+510\,e^5\,m^5+22950\,e^5\,m^4+410550\,e^5\,m^3+3649050\,e^5\,m^2+16112940\,e^5\,m+28274400\,e^5\right)}{e^5\,\left(m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800\right)}+\frac{x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(-302400000\,d^8\,m-1512000\,d^7\,e\,m^2-16632000\,d^7\,e\,m-5140800\,d^6\,e^2\,m^3-107956800\,d^6\,e^2\,m^2-565488000\,d^6\,e^2\,m-82320\,d^5\,e^3\,m^4-2469600\,d^5\,e^3\,m^3-24613680\,d^5\,e^3\,m^2-81496800\,d^5\,e^3\,m-119880\,d^4\,e^4\,m^5-4555440\,d^4\,e^4\,m^4-64615320\,d^4\,e^4\,m^3-405434160\,d^4\,e^4\,m^2-949449600\,d^4\,e^4\,m+10200\,d^3\,e^5\,m^6+459000\,d^3\,e^5\,m^5+8211000\,d^3\,e^5\,m^4+72981000\,d^3\,e^5\,m^3+322258800\,d^3\,e^5\,m^2+565488000\,d^3\,e^5\,m-4436\,d^2\,e^6\,m^7-226236\,d^2\,e^6\,m^6-4768700\,d^2\,e^6\,m^5-53165460\,d^2\,e^6\,m^4-330588464\,d^2\,e^6\,m^3-1086837744\,d^2\,e^6\,m^2-1475591040\,d^2\,e^6\,m+574\,d\,e^7\,m^8+32144\,d\,e^7\,m^7+763420\,d\,e^7\,m^6+9964640\,d\,e^7\,m^5+77173726\,d\,e^7\,m^4+354516176\,d\,e^7\,m^3+894096840\,d\,e^7\,m^2+954676800\,d\,e^7\,m+477\,e^8\,m^8+28620\,e^8\,m^7+741258\,e^8\,m^6+10818360\,e^8\,m^5+97255053\,e^8\,m^4+551135340\,e^8\,m^3+1921430412\,e^8\,m^2+3765361680\,e^8\,m+3173385600\,e^8\right)}{e^8\,\left(m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800\right)}+\frac{x^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(75600000\,d^7\,m+378000\,d^6\,e\,m^2+4158000\,d^6\,e\,m+1285200\,d^5\,e^2\,m^3+26989200\,d^5\,e^2\,m^2+141372000\,d^5\,e^2\,m+20580\,d^4\,e^3\,m^4+617400\,d^4\,e^3\,m^3+6153420\,d^4\,e^3\,m^2+20374200\,d^4\,e^3\,m+29970\,d^3\,e^4\,m^5+1138860\,d^3\,e^4\,m^4+16153830\,d^3\,e^4\,m^3+101358540\,d^3\,e^4\,m^2+237362400\,d^3\,e^4\,m-2550\,d^2\,e^5\,m^6-114750\,d^2\,e^5\,m^5-2052750\,d^2\,e^5\,m^4-18245250\,d^2\,e^5\,m^3-80564700\,d^2\,e^5\,m^2-141372000\,d^2\,e^5\,m+1109\,d\,e^6\,m^7+56559\,d\,e^6\,m^6+1192175\,d\,e^6\,m^5+13291365\,d\,e^6\,m^4+82647116\,d\,e^6\,m^3+271709436\,d\,e^6\,m^2+368897760\,d\,e^6\,m+574\,e^7\,m^7+32144\,e^7\,m^6+763420\,e^7\,m^5+9964640\,e^7\,m^4+77173726\,e^7\,m^3+354516176\,e^7\,m^2+894096840\,e^7\,m+954676800\,e^7\right)}{e^7\,\left(m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800\right)}-\frac{25\,x^{10}\,{\left(d+e\,x\right)}^m\,\left(11\,e-20\,d\,m+e\,m\right)\,\left(m^9+45\,m^8+870\,m^7+9450\,m^6+63273\,m^5+269325\,m^4+723680\,m^3+1172700\,m^2+1026576\,m+362880\right)}{e\,\left(m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800\right)}-\frac{x^5\,{\left(d+e\,x\right)}^m\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)\,\left(15120000\,d^6\,m+75600\,d^5\,e\,m^2+831600\,d^5\,e\,m+257040\,d^4\,e^2\,m^3+5397840\,d^4\,e^2\,m^2+28274400\,d^4\,e^2\,m+4116\,d^3\,e^3\,m^4+123480\,d^3\,e^3\,m^3+1230684\,d^3\,e^3\,m^2+4074840\,d^3\,e^3\,m+5994\,d^2\,e^4\,m^5+227772\,d^2\,e^4\,m^4+3230766\,d^2\,e^4\,m^3+20271708\,d^2\,e^4\,m^2+47472480\,d^2\,e^4\,m-510\,d\,e^5\,m^6-22950\,d\,e^5\,m^5-410550\,d\,e^5\,m^4-3649050\,d\,e^5\,m^3-16112940\,d\,e^5\,m^2-28274400\,d\,e^5\,m-1109\,e^6\,m^6-56559\,e^6\,m^5-1192175\,e^6\,m^4-13291365\,e^6\,m^3-82647116\,e^6\,m^2-271709436\,e^6\,m-368897760\,e^6\right)}{e^6\,\left(m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800\right)}-\frac{x^7\,{\left(d+e\,x\right)}^m\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)\,\left(360000\,d^4\,m+1800\,d^3\,e\,m^2+19800\,d^3\,e\,m+6120\,d^2\,e^2\,m^3+128520\,d^2\,e^2\,m^2+673200\,d^2\,e^2\,m+98\,d\,e^3\,m^4+2940\,d\,e^3\,m^3+29302\,d\,e^3\,m^2+97020\,d\,e^3\,m-999\,e^4\,m^4-37962\,e^4\,m^3-538461\,e^4\,m^2-3378618\,e^4\,m-7912080\,e^4\right)}{e^4\,\left(m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800\right)}-\frac{5\,x^9\,{\left(d+e\,x\right)}^m\,\left(1000\,d^2\,m+5\,d\,e\,m^2+55\,d\,e\,m-153\,e^2\,m^2-3213\,e^2\,m-16830\,e^2\right)\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}{e^2\,\left(m^{11}+66\,m^{10}+1925\,m^9+32670\,m^8+357423\,m^7+2637558\,m^6+13339535\,m^5+45995730\,m^4+105258076\,m^3+150917976\,m^2+120543840\,m+39916800\right)}","Not used",1,"(500*x^11*(d + e*x)^m*(10628640*m + 12753576*m^2 + 8409500*m^3 + 3416930*m^4 + 902055*m^5 + 157773*m^6 + 18150*m^7 + 1320*m^8 + 55*m^9 + m^10 + 3628800))/(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800) + ((d + e*x)^m*(2155507200*d*e^10 + 99792000*d^10*e + 1814400000*d^11 - 2694384000*d^2*e^9 + 6346771200*d^3*e^8 - 5728060800*d^4*e^7 + 8853546240*d^5*e^6 - 3392928000*d^6*e^5 + 5696697600*d^7*e^4 + 488980800*d^8*e^3 + 3392928000*d^9*e^2 - 4095133200*d^2*e^9*m + 7530723360*d^3*e^8*m - 5364581040*d^4*e^7*m + 6521026464*d^5*e^6*m - 1933552800*d^6*e^5*m + 2432604960*d^7*e^4*m + 147682080*d^8*e^3*m + 647740800*d^9*e^2*m + 3795710544*d*e^10*m^2 + 1888225560*d*e^10*m^3 + 595543860*d*e^10*m^4 + 124791030*d*e^10*m^5 + 17637102*d*e^10*m^6 + 1663740*d*e^10*m^7 + 100440*d*e^10*m^8 + 3510*d*e^10*m^9 + 54*d*e^10*m^10 - 2697071580*d^2*e^9*m^2 + 3842860824*d^3*e^8*m^2 - 2127097056*d^4*e^7*m^2 + 1983530784*d^5*e^6*m^2 - 437886000*d^6*e^5*m^2 + 387691920*d^7*e^4*m^2 + 14817600*d^8*e^3*m^2 + 30844800*d^9*e^2*m^2 - 1011746160*d^2*e^9*m^3 + 1102270680*d^3*e^8*m^3 - 463042356*d^4*e^7*m^3 + 318992760*d^5*e^6*m^3 - 49266000*d^6*e^5*m^3 + 27332640*d^7*e^4*m^3 + 493920*d^8*e^3*m^3 - 238556745*d^2*e^9*m^4 + 194510106*d^3*e^8*m^4 - 59787840*d^4*e^7*m^4 + 28612200*d^5*e^6*m^4 - 2754000*d^6*e^5*m^4 + 719280*d^7*e^4*m^4 - 36710415*d^2*e^9*m^5 + 21636720*d^3*e^8*m^5 - 4580520*d^4*e^7*m^5 + 1357416*d^5*e^6*m^5 - 61200*d^6*e^5*m^5 - 3691170*d^2*e^9*m^6 + 1482516*d^3*e^8*m^6 - 192864*d^4*e^7*m^6 + 26616*d^5*e^6*m^6 - 234090*d^2*e^9*m^7 + 57240*d^3*e^8*m^7 - 3444*d^4*e^7*m^7 - 8505*d^2*e^9*m^8 + 954*d^3*e^8*m^8 - 135*d^2*e^9*m^9 + 4353860160*d*e^10*m + 9072000*d^10*e*m))/(e^11*(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800)) + (x*(d + e*x)^m*(4353860160*e^11*m + 2155507200*e^11 + 3795710544*e^11*m^2 + 1888225560*e^11*m^3 + 595543860*e^11*m^4 + 124791030*e^11*m^5 + 17637102*e^11*m^6 + 1663740*e^11*m^7 + 100440*e^11*m^8 + 3510*e^11*m^9 + 54*e^11*m^10 - 6346771200*d^2*e^9*m + 5728060800*d^3*e^8*m - 8853546240*d^4*e^7*m + 3392928000*d^5*e^6*m - 5696697600*d^6*e^5*m - 488980800*d^7*e^4*m - 3392928000*d^8*e^3*m - 99792000*d^9*e^2*m + 4095133200*d*e^10*m^2 + 2697071580*d*e^10*m^3 + 1011746160*d*e^10*m^4 + 238556745*d*e^10*m^5 + 36710415*d*e^10*m^6 + 3691170*d*e^10*m^7 + 234090*d*e^10*m^8 + 8505*d*e^10*m^9 + 135*d*e^10*m^10 - 7530723360*d^2*e^9*m^2 + 5364581040*d^3*e^8*m^2 - 6521026464*d^4*e^7*m^2 + 1933552800*d^5*e^6*m^2 - 2432604960*d^6*e^5*m^2 - 147682080*d^7*e^4*m^2 - 647740800*d^8*e^3*m^2 - 9072000*d^9*e^2*m^2 - 3842860824*d^2*e^9*m^3 + 2127097056*d^3*e^8*m^3 - 1983530784*d^4*e^7*m^3 + 437886000*d^5*e^6*m^3 - 387691920*d^6*e^5*m^3 - 14817600*d^7*e^4*m^3 - 30844800*d^8*e^3*m^3 - 1102270680*d^2*e^9*m^4 + 463042356*d^3*e^8*m^4 - 318992760*d^4*e^7*m^4 + 49266000*d^5*e^6*m^4 - 27332640*d^6*e^5*m^4 - 493920*d^7*e^4*m^4 - 194510106*d^2*e^9*m^5 + 59787840*d^3*e^8*m^5 - 28612200*d^4*e^7*m^5 + 2754000*d^5*e^6*m^5 - 719280*d^6*e^5*m^5 - 21636720*d^2*e^9*m^6 + 4580520*d^3*e^8*m^6 - 1357416*d^4*e^7*m^6 + 61200*d^5*e^6*m^6 - 1482516*d^2*e^9*m^7 + 192864*d^3*e^8*m^7 - 26616*d^4*e^7*m^7 - 57240*d^2*e^9*m^8 + 3444*d^3*e^8*m^8 - 954*d^2*e^9*m^9 + 2694384000*d*e^10*m - 1814400000*d^10*e*m))/(e^11*(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800)) + (x^8*(d + e*x)^m*(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040)*(45000*d^3*m - 29302*e^3*m - 97020*e^3 - 2940*e^3*m^2 - 98*e^3*m^3 + 16065*d*e^2*m^2 + 225*d^2*e*m^2 + 765*d*e^2*m^3 + 84150*d*e^2*m + 2475*d^2*e*m))/(e^3*(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800)) + (3*x^2*(m + 1)*(d + e*x)^m*(302400000*d^9*m + 1365044400*e^9*m + 898128000*e^9 + 899023860*e^9*m^2 + 337248720*e^9*m^3 + 79518915*e^9*m^4 + 12236805*e^9*m^5 + 1230390*e^9*m^6 + 78030*e^9*m^7 + 2835*e^9*m^8 + 45*e^9*m^9 - 954676800*d^2*e^7*m + 1475591040*d^3*e^6*m - 565488000*d^4*e^5*m + 949449600*d^5*e^4*m + 81496800*d^6*e^3*m + 565488000*d^7*e^2*m + 1255120560*d*e^8*m^2 + 1512000*d^8*e*m^2 + 640476804*d*e^8*m^3 + 183711780*d*e^8*m^4 + 32418351*d*e^8*m^5 + 3606120*d*e^8*m^6 + 247086*d*e^8*m^7 + 9540*d*e^8*m^8 + 159*d*e^8*m^9 - 894096840*d^2*e^7*m^2 + 1086837744*d^3*e^6*m^2 - 322258800*d^4*e^5*m^2 + 405434160*d^5*e^4*m^2 + 24613680*d^6*e^3*m^2 + 107956800*d^7*e^2*m^2 - 354516176*d^2*e^7*m^3 + 330588464*d^3*e^6*m^3 - 72981000*d^4*e^5*m^3 + 64615320*d^5*e^4*m^3 + 2469600*d^6*e^3*m^3 + 5140800*d^7*e^2*m^3 - 77173726*d^2*e^7*m^4 + 53165460*d^3*e^6*m^4 - 8211000*d^4*e^5*m^4 + 4555440*d^5*e^4*m^4 + 82320*d^6*e^3*m^4 - 9964640*d^2*e^7*m^5 + 4768700*d^3*e^6*m^5 - 459000*d^4*e^5*m^5 + 119880*d^5*e^4*m^5 - 763420*d^2*e^7*m^6 + 226236*d^3*e^6*m^6 - 10200*d^4*e^5*m^6 - 32144*d^2*e^7*m^7 + 4436*d^3*e^6*m^7 - 574*d^2*e^7*m^8 + 1057795200*d*e^8*m + 16632000*d^8*e*m))/(e^9*(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800)) + (x^6*(d + e*x)^m*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120)*(2520000*d^5*m + 16112940*e^5*m + 28274400*e^5 + 3649050*e^5*m^2 + 410550*e^5*m^3 + 22950*e^5*m^4 + 510*e^5*m^5 + 679140*d^2*e^3*m + 4712400*d^3*e^2*m + 3378618*d*e^4*m^2 + 12600*d^4*e*m^2 + 538461*d*e^4*m^3 + 37962*d*e^4*m^4 + 999*d*e^4*m^5 + 205114*d^2*e^3*m^2 + 899640*d^3*e^2*m^2 + 20580*d^2*e^3*m^3 + 42840*d^3*e^2*m^3 + 686*d^2*e^3*m^4 + 7912080*d*e^4*m + 138600*d^4*e*m))/(e^5*(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800)) + (x^3*(d + e*x)^m*(3*m + m^2 + 2)*(3765361680*e^8*m - 302400000*d^8*m + 3173385600*e^8 + 1921430412*e^8*m^2 + 551135340*e^8*m^3 + 97255053*e^8*m^4 + 10818360*e^8*m^5 + 741258*e^8*m^6 + 28620*e^8*m^7 + 477*e^8*m^8 - 1475591040*d^2*e^6*m + 565488000*d^3*e^5*m - 949449600*d^4*e^4*m - 81496800*d^5*e^3*m - 565488000*d^6*e^2*m + 894096840*d*e^7*m^2 - 1512000*d^7*e*m^2 + 354516176*d*e^7*m^3 + 77173726*d*e^7*m^4 + 9964640*d*e^7*m^5 + 763420*d*e^7*m^6 + 32144*d*e^7*m^7 + 574*d*e^7*m^8 - 1086837744*d^2*e^6*m^2 + 322258800*d^3*e^5*m^2 - 405434160*d^4*e^4*m^2 - 24613680*d^5*e^3*m^2 - 107956800*d^6*e^2*m^2 - 330588464*d^2*e^6*m^3 + 72981000*d^3*e^5*m^3 - 64615320*d^4*e^4*m^3 - 2469600*d^5*e^3*m^3 - 5140800*d^6*e^2*m^3 - 53165460*d^2*e^6*m^4 + 8211000*d^3*e^5*m^4 - 4555440*d^4*e^4*m^4 - 82320*d^5*e^3*m^4 - 4768700*d^2*e^6*m^5 + 459000*d^3*e^5*m^5 - 119880*d^4*e^4*m^5 - 226236*d^2*e^6*m^6 + 10200*d^3*e^5*m^6 - 4436*d^2*e^6*m^7 + 954676800*d*e^7*m - 16632000*d^7*e*m))/(e^8*(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800)) + (x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(75600000*d^7*m + 894096840*e^7*m + 954676800*e^7 + 354516176*e^7*m^2 + 77173726*e^7*m^3 + 9964640*e^7*m^4 + 763420*e^7*m^5 + 32144*e^7*m^6 + 574*e^7*m^7 - 141372000*d^2*e^5*m + 237362400*d^3*e^4*m + 20374200*d^4*e^3*m + 141372000*d^5*e^2*m + 271709436*d*e^6*m^2 + 378000*d^6*e*m^2 + 82647116*d*e^6*m^3 + 13291365*d*e^6*m^4 + 1192175*d*e^6*m^5 + 56559*d*e^6*m^6 + 1109*d*e^6*m^7 - 80564700*d^2*e^5*m^2 + 101358540*d^3*e^4*m^2 + 6153420*d^4*e^3*m^2 + 26989200*d^5*e^2*m^2 - 18245250*d^2*e^5*m^3 + 16153830*d^3*e^4*m^3 + 617400*d^4*e^3*m^3 + 1285200*d^5*e^2*m^3 - 2052750*d^2*e^5*m^4 + 1138860*d^3*e^4*m^4 + 20580*d^4*e^3*m^4 - 114750*d^2*e^5*m^5 + 29970*d^3*e^4*m^5 - 2550*d^2*e^5*m^6 + 368897760*d*e^6*m + 4158000*d^6*e*m))/(e^7*(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800)) - (25*x^10*(d + e*x)^m*(11*e - 20*d*m + e*m)*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880))/(e*(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800)) - (x^5*(d + e*x)^m*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)*(15120000*d^6*m - 271709436*e^6*m - 368897760*e^6 - 82647116*e^6*m^2 - 13291365*e^6*m^3 - 1192175*e^6*m^4 - 56559*e^6*m^5 - 1109*e^6*m^6 + 47472480*d^2*e^4*m + 4074840*d^3*e^3*m + 28274400*d^4*e^2*m - 16112940*d*e^5*m^2 + 75600*d^5*e*m^2 - 3649050*d*e^5*m^3 - 410550*d*e^5*m^4 - 22950*d*e^5*m^5 - 510*d*e^5*m^6 + 20271708*d^2*e^4*m^2 + 1230684*d^3*e^3*m^2 + 5397840*d^4*e^2*m^2 + 3230766*d^2*e^4*m^3 + 123480*d^3*e^3*m^3 + 257040*d^4*e^2*m^3 + 227772*d^2*e^4*m^4 + 4116*d^3*e^3*m^4 + 5994*d^2*e^4*m^5 - 28274400*d*e^5*m + 831600*d^5*e*m))/(e^6*(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800)) - (x^7*(d + e*x)^m*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720)*(360000*d^4*m - 3378618*e^4*m - 7912080*e^4 - 538461*e^4*m^2 - 37962*e^4*m^3 - 999*e^4*m^4 + 673200*d^2*e^2*m + 29302*d*e^3*m^2 + 1800*d^3*e*m^2 + 2940*d*e^3*m^3 + 98*d*e^3*m^4 + 128520*d^2*e^2*m^2 + 6120*d^2*e^2*m^3 + 97020*d*e^3*m + 19800*d^3*e*m))/(e^4*(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800)) - (5*x^9*(d + e*x)^m*(1000*d^2*m - 3213*e^2*m - 16830*e^2 - 153*e^2*m^2 + 55*d*e*m + 5*d*e*m^2)*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320))/(e^2*(120543840*m + 150917976*m^2 + 105258076*m^3 + 45995730*m^4 + 13339535*m^5 + 2637558*m^6 + 357423*m^7 + 32670*m^8 + 1925*m^9 + 66*m^10 + m^11 + 39916800))","B"
368,1,2625,432,6.050142,"\text{Not used}","int((d + e*x)^m*(2*x + 5*x^2 + 3)^2*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2),x)","\frac{{\left(d+e\,x\right)}^m\,\left(4032000\,d^9+226800\,d^8\,e\,m+2041200\,d^8\,e+79920\,d^7\,e^2\,m^2+1358640\,d^7\,e^2\,m+5754240\,d^7\,e^2+4440\,d^6\,e^3\,m^3+106560\,d^6\,e^3\,m^2+848040\,d^6\,e^3\,m+2237760\,d^6\,e^3+3552\,d^5\,e^4\,m^4+106560\,d^5\,e^4\,m^3+1189920\,d^5\,e^4\,m^2+5860800\,d^5\,e^4\,m+10741248\,d^5\,e^4-390\,d^4\,e^5\,m^5-13650\,d^4\,e^5\,m^4-189150\,d^4\,e^5\,m^3-1296750\,d^4\,e^5\,m^2-4396860\,d^4\,e^5\,m-5896800\,d^4\,e^5+214\,d^3\,e^6\,m^6+8346\,d^3\,e^6\,m^5+133750\,d^3\,e^6\,m^4+1126710\,d^3\,e^6\,m^3+5258836\,d^3\,e^6\,m^2+12886224\,d^3\,e^6\,m+12942720\,d^3\,e^6-33\,d^2\,e^7\,m^7-1386\,d^2\,e^7\,m^6-24486\,d^2\,e^7\,m^5-235620\,d^2\,e^7\,m^4-1332177\,d^2\,e^7\,m^3-4419954\,d^2\,e^7\,m^2-7957224\,d^2\,e^7\,m-5987520\,d^2\,e^7+18\,d\,e^8\,m^8+792\,d\,e^8\,m^7+14868\,d\,e^8\,m^6+155232\,d\,e^8\,m^5+983682\,d\,e^8\,m^4+3864168\,d\,e^8\,m^3+9162072\,d\,e^8\,m^2+11946528\,d\,e^8\,m+6531840\,d\,e^8\right)}{e^9\,\left(m^9+45\,m^8+870\,m^7+9450\,m^6+63273\,m^5+269325\,m^4+723680\,m^3+1172700\,m^2+1026576\,m+362880\right)}+\frac{100\,x^9\,{\left(d+e\,x\right)}^m\,\left(m^8+36\,m^7+546\,m^6+4536\,m^5+22449\,m^4+67284\,m^3+118124\,m^2+109584\,m+40320\right)}{m^9+45\,m^8+870\,m^7+9450\,m^6+63273\,m^5+269325\,m^4+723680\,m^3+1172700\,m^2+1026576\,m+362880}+\frac{x\,{\left(d+e\,x\right)}^m\,\left(-4032000\,d^8\,e\,m-226800\,d^7\,e^2\,m^2-2041200\,d^7\,e^2\,m-79920\,d^6\,e^3\,m^3-1358640\,d^6\,e^3\,m^2-5754240\,d^6\,e^3\,m-4440\,d^5\,e^4\,m^4-106560\,d^5\,e^4\,m^3-848040\,d^5\,e^4\,m^2-2237760\,d^5\,e^4\,m-3552\,d^4\,e^5\,m^5-106560\,d^4\,e^5\,m^4-1189920\,d^4\,e^5\,m^3-5860800\,d^4\,e^5\,m^2-10741248\,d^4\,e^5\,m+390\,d^3\,e^6\,m^6+13650\,d^3\,e^6\,m^5+189150\,d^3\,e^6\,m^4+1296750\,d^3\,e^6\,m^3+4396860\,d^3\,e^6\,m^2+5896800\,d^3\,e^6\,m-214\,d^2\,e^7\,m^7-8346\,d^2\,e^7\,m^6-133750\,d^2\,e^7\,m^5-1126710\,d^2\,e^7\,m^4-5258836\,d^2\,e^7\,m^3-12886224\,d^2\,e^7\,m^2-12942720\,d^2\,e^7\,m+33\,d\,e^8\,m^8+1386\,d\,e^8\,m^7+24486\,d\,e^8\,m^6+235620\,d\,e^8\,m^5+1332177\,d\,e^8\,m^4+4419954\,d\,e^8\,m^3+7957224\,d\,e^8\,m^2+5987520\,d\,e^8\,m+18\,e^9\,m^8+792\,e^9\,m^7+14868\,e^9\,m^6+155232\,e^9\,m^5+983682\,e^9\,m^4+3864168\,e^9\,m^3+9162072\,e^9\,m^2+11946528\,e^9\,m+6531840\,e^9\right)}{e^9\,\left(m^9+45\,m^8+870\,m^7+9450\,m^6+63273\,m^5+269325\,m^4+723680\,m^3+1172700\,m^2+1026576\,m+362880\right)}-\frac{x^5\,{\left(d+e\,x\right)}^m\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)\,\left(33600\,d^4\,m+1890\,d^3\,e\,m^2+17010\,d^3\,e\,m+666\,d^2\,e^2\,m^3+11322\,d^2\,e^2\,m^2+47952\,d^2\,e^2\,m+37\,d\,e^3\,m^4+888\,d\,e^3\,m^3+7067\,d\,e^3\,m^2+18648\,d\,e^3\,m-148\,e^4\,m^4-4440\,e^4\,m^3-49580\,e^4\,m^2-244200\,e^4\,m-447552\,e^4\right)}{e^4\,\left(m^9+45\,m^8+870\,m^7+9450\,m^6+63273\,m^5+269325\,m^4+723680\,m^3+1172700\,m^2+1026576\,m+362880\right)}-\frac{x^7\,{\left(d+e\,x\right)}^m\,\left(800\,d^2\,m+45\,d\,e\,m^2+405\,d\,e\,m-111\,e^2\,m^2-1887\,e^2\,m-7992\,e^2\right)\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}{e^2\,\left(m^9+45\,m^8+870\,m^7+9450\,m^6+63273\,m^5+269325\,m^4+723680\,m^3+1172700\,m^2+1026576\,m+362880\right)}+\frac{x^6\,{\left(d+e\,x\right)}^m\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)\,\left(5600\,d^3\,m+315\,d^2\,e\,m^2+2835\,d^2\,e\,m+111\,d\,e^2\,m^3+1887\,d\,e^2\,m^2+7992\,d\,e^2\,m-37\,e^3\,m^3-888\,e^3\,m^2-7067\,e^3\,m-18648\,e^3\right)}{e^3\,\left(m^9+45\,m^8+870\,m^7+9450\,m^6+63273\,m^5+269325\,m^4+723680\,m^3+1172700\,m^2+1026576\,m+362880\right)}+\frac{x^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(168000\,d^5\,m+9450\,d^4\,e\,m^2+85050\,d^4\,e\,m+3330\,d^3\,e^2\,m^3+56610\,d^3\,e^2\,m^2+239760\,d^3\,e^2\,m+185\,d^2\,e^3\,m^4+4440\,d^2\,e^3\,m^3+35335\,d^2\,e^3\,m^2+93240\,d^2\,e^3\,m+148\,d\,e^4\,m^5+4440\,d\,e^4\,m^4+49580\,d\,e^4\,m^3+244200\,d\,e^4\,m^2+447552\,d\,e^4\,m+65\,e^5\,m^5+2275\,e^5\,m^4+31525\,e^5\,m^3+216125\,e^5\,m^2+732810\,e^5\,m+982800\,e^5\right)}{e^5\,\left(m^9+45\,m^8+870\,m^7+9450\,m^6+63273\,m^5+269325\,m^4+723680\,m^3+1172700\,m^2+1026576\,m+362880\right)}-\frac{5\,x^8\,{\left(d+e\,x\right)}^m\,\left(81\,e-20\,d\,m+9\,e\,m\right)\,\left(m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040\right)}{e\,\left(m^9+45\,m^8+870\,m^7+9450\,m^6+63273\,m^5+269325\,m^4+723680\,m^3+1172700\,m^2+1026576\,m+362880\right)}+\frac{x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(2016000\,d^7\,m+113400\,d^6\,e\,m^2+1020600\,d^6\,e\,m+39960\,d^5\,e^2\,m^3+679320\,d^5\,e^2\,m^2+2877120\,d^5\,e^2\,m+2220\,d^4\,e^3\,m^4+53280\,d^4\,e^3\,m^3+424020\,d^4\,e^3\,m^2+1118880\,d^4\,e^3\,m+1776\,d^3\,e^4\,m^5+53280\,d^3\,e^4\,m^4+594960\,d^3\,e^4\,m^3+2930400\,d^3\,e^4\,m^2+5370624\,d^3\,e^4\,m-195\,d^2\,e^5\,m^6-6825\,d^2\,e^5\,m^5-94575\,d^2\,e^5\,m^4-648375\,d^2\,e^5\,m^3-2198430\,d^2\,e^5\,m^2-2948400\,d^2\,e^5\,m+107\,d\,e^6\,m^7+4173\,d\,e^6\,m^6+66875\,d\,e^6\,m^5+563355\,d\,e^6\,m^4+2629418\,d\,e^6\,m^3+6443112\,d\,e^6\,m^2+6471360\,d\,e^6\,m+33\,e^7\,m^7+1386\,e^7\,m^6+24486\,e^7\,m^5+235620\,e^7\,m^4+1332177\,e^7\,m^3+4419954\,e^7\,m^2+7957224\,e^7\,m+5987520\,e^7\right)}{e^7\,\left(m^9+45\,m^8+870\,m^7+9450\,m^6+63273\,m^5+269325\,m^4+723680\,m^3+1172700\,m^2+1026576\,m+362880\right)}-\frac{x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(672000\,d^6\,m+37800\,d^5\,e\,m^2+340200\,d^5\,e\,m+13320\,d^4\,e^2\,m^3+226440\,d^4\,e^2\,m^2+959040\,d^4\,e^2\,m+740\,d^3\,e^3\,m^4+17760\,d^3\,e^3\,m^3+141340\,d^3\,e^3\,m^2+372960\,d^3\,e^3\,m+592\,d^2\,e^4\,m^5+17760\,d^2\,e^4\,m^4+198320\,d^2\,e^4\,m^3+976800\,d^2\,e^4\,m^2+1790208\,d^2\,e^4\,m-65\,d\,e^5\,m^6-2275\,d\,e^5\,m^5-31525\,d\,e^5\,m^4-216125\,d\,e^5\,m^3-732810\,d\,e^5\,m^2-982800\,d\,e^5\,m-107\,e^6\,m^6-4173\,e^6\,m^5-66875\,e^6\,m^4-563355\,e^6\,m^3-2629418\,e^6\,m^2-6443112\,e^6\,m-6471360\,e^6\right)}{e^6\,\left(m^9+45\,m^8+870\,m^7+9450\,m^6+63273\,m^5+269325\,m^4+723680\,m^3+1172700\,m^2+1026576\,m+362880\right)}","Not used",1,"((d + e*x)^m*(6531840*d*e^8 + 2041200*d^8*e + 4032000*d^9 - 5987520*d^2*e^7 + 12942720*d^3*e^6 - 5896800*d^4*e^5 + 10741248*d^5*e^4 + 2237760*d^6*e^3 + 5754240*d^7*e^2 - 7957224*d^2*e^7*m + 12886224*d^3*e^6*m - 4396860*d^4*e^5*m + 5860800*d^5*e^4*m + 848040*d^6*e^3*m + 1358640*d^7*e^2*m + 9162072*d*e^8*m^2 + 3864168*d*e^8*m^3 + 983682*d*e^8*m^4 + 155232*d*e^8*m^5 + 14868*d*e^8*m^6 + 792*d*e^8*m^7 + 18*d*e^8*m^8 - 4419954*d^2*e^7*m^2 + 5258836*d^3*e^6*m^2 - 1296750*d^4*e^5*m^2 + 1189920*d^5*e^4*m^2 + 106560*d^6*e^3*m^2 + 79920*d^7*e^2*m^2 - 1332177*d^2*e^7*m^3 + 1126710*d^3*e^6*m^3 - 189150*d^4*e^5*m^3 + 106560*d^5*e^4*m^3 + 4440*d^6*e^3*m^3 - 235620*d^2*e^7*m^4 + 133750*d^3*e^6*m^4 - 13650*d^4*e^5*m^4 + 3552*d^5*e^4*m^4 - 24486*d^2*e^7*m^5 + 8346*d^3*e^6*m^5 - 390*d^4*e^5*m^5 - 1386*d^2*e^7*m^6 + 214*d^3*e^6*m^6 - 33*d^2*e^7*m^7 + 11946528*d*e^8*m + 226800*d^8*e*m))/(e^9*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880)) + (100*x^9*(d + e*x)^m*(109584*m + 118124*m^2 + 67284*m^3 + 22449*m^4 + 4536*m^5 + 546*m^6 + 36*m^7 + m^8 + 40320))/(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880) + (x*(d + e*x)^m*(11946528*e^9*m + 6531840*e^9 + 9162072*e^9*m^2 + 3864168*e^9*m^3 + 983682*e^9*m^4 + 155232*e^9*m^5 + 14868*e^9*m^6 + 792*e^9*m^7 + 18*e^9*m^8 - 12942720*d^2*e^7*m + 5896800*d^3*e^6*m - 10741248*d^4*e^5*m - 2237760*d^5*e^4*m - 5754240*d^6*e^3*m - 2041200*d^7*e^2*m + 7957224*d*e^8*m^2 + 4419954*d*e^8*m^3 + 1332177*d*e^8*m^4 + 235620*d*e^8*m^5 + 24486*d*e^8*m^6 + 1386*d*e^8*m^7 + 33*d*e^8*m^8 - 12886224*d^2*e^7*m^2 + 4396860*d^3*e^6*m^2 - 5860800*d^4*e^5*m^2 - 848040*d^5*e^4*m^2 - 1358640*d^6*e^3*m^2 - 226800*d^7*e^2*m^2 - 5258836*d^2*e^7*m^3 + 1296750*d^3*e^6*m^3 - 1189920*d^4*e^5*m^3 - 106560*d^5*e^4*m^3 - 79920*d^6*e^3*m^3 - 1126710*d^2*e^7*m^4 + 189150*d^3*e^6*m^4 - 106560*d^4*e^5*m^4 - 4440*d^5*e^4*m^4 - 133750*d^2*e^7*m^5 + 13650*d^3*e^6*m^5 - 3552*d^4*e^5*m^5 - 8346*d^2*e^7*m^6 + 390*d^3*e^6*m^6 - 214*d^2*e^7*m^7 + 5987520*d*e^8*m - 4032000*d^8*e*m))/(e^9*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880)) - (x^5*(d + e*x)^m*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)*(33600*d^4*m - 244200*e^4*m - 447552*e^4 - 49580*e^4*m^2 - 4440*e^4*m^3 - 148*e^4*m^4 + 47952*d^2*e^2*m + 7067*d*e^3*m^2 + 1890*d^3*e*m^2 + 888*d*e^3*m^3 + 37*d*e^3*m^4 + 11322*d^2*e^2*m^2 + 666*d^2*e^2*m^3 + 18648*d*e^3*m + 17010*d^3*e*m))/(e^4*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880)) - (x^7*(d + e*x)^m*(800*d^2*m - 1887*e^2*m - 7992*e^2 - 111*e^2*m^2 + 405*d*e*m + 45*d*e*m^2)*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))/(e^2*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880)) + (x^6*(d + e*x)^m*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120)*(5600*d^3*m - 7067*e^3*m - 18648*e^3 - 888*e^3*m^2 - 37*e^3*m^3 + 1887*d*e^2*m^2 + 315*d^2*e*m^2 + 111*d*e^2*m^3 + 7992*d*e^2*m + 2835*d^2*e*m))/(e^3*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880)) + (x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(168000*d^5*m + 732810*e^5*m + 982800*e^5 + 216125*e^5*m^2 + 31525*e^5*m^3 + 2275*e^5*m^4 + 65*e^5*m^5 + 93240*d^2*e^3*m + 239760*d^3*e^2*m + 244200*d*e^4*m^2 + 9450*d^4*e*m^2 + 49580*d*e^4*m^3 + 4440*d*e^4*m^4 + 148*d*e^4*m^5 + 35335*d^2*e^3*m^2 + 56610*d^3*e^2*m^2 + 4440*d^2*e^3*m^3 + 3330*d^3*e^2*m^3 + 185*d^2*e^3*m^4 + 447552*d*e^4*m + 85050*d^4*e*m))/(e^5*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880)) - (5*x^8*(d + e*x)^m*(81*e - 20*d*m + 9*e*m)*(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040))/(e*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880)) + (x^2*(m + 1)*(d + e*x)^m*(2016000*d^7*m + 7957224*e^7*m + 5987520*e^7 + 4419954*e^7*m^2 + 1332177*e^7*m^3 + 235620*e^7*m^4 + 24486*e^7*m^5 + 1386*e^7*m^6 + 33*e^7*m^7 - 2948400*d^2*e^5*m + 5370624*d^3*e^4*m + 1118880*d^4*e^3*m + 2877120*d^5*e^2*m + 6443112*d*e^6*m^2 + 113400*d^6*e*m^2 + 2629418*d*e^6*m^3 + 563355*d*e^6*m^4 + 66875*d*e^6*m^5 + 4173*d*e^6*m^6 + 107*d*e^6*m^7 - 2198430*d^2*e^5*m^2 + 2930400*d^3*e^4*m^2 + 424020*d^4*e^3*m^2 + 679320*d^5*e^2*m^2 - 648375*d^2*e^5*m^3 + 594960*d^3*e^4*m^3 + 53280*d^4*e^3*m^3 + 39960*d^5*e^2*m^3 - 94575*d^2*e^5*m^4 + 53280*d^3*e^4*m^4 + 2220*d^4*e^3*m^4 - 6825*d^2*e^5*m^5 + 1776*d^3*e^4*m^5 - 195*d^2*e^5*m^6 + 6471360*d*e^6*m + 1020600*d^6*e*m))/(e^7*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880)) - (x^3*(d + e*x)^m*(3*m + m^2 + 2)*(672000*d^6*m - 6443112*e^6*m - 6471360*e^6 - 2629418*e^6*m^2 - 563355*e^6*m^3 - 66875*e^6*m^4 - 4173*e^6*m^5 - 107*e^6*m^6 + 1790208*d^2*e^4*m + 372960*d^3*e^3*m + 959040*d^4*e^2*m - 732810*d*e^5*m^2 + 37800*d^5*e*m^2 - 216125*d*e^5*m^3 - 31525*d*e^5*m^4 - 2275*d*e^5*m^5 - 65*d*e^5*m^6 + 976800*d^2*e^4*m^2 + 141340*d^3*e^3*m^2 + 226440*d^4*e^2*m^2 + 198320*d^2*e^4*m^3 + 17760*d^3*e^3*m^3 + 13320*d^4*e^2*m^3 + 17760*d^2*e^4*m^4 + 740*d^3*e^3*m^4 + 592*d^2*e^4*m^5 - 982800*d*e^5*m + 340200*d^5*e*m))/(e^6*(1026576*m + 1172700*m^2 + 723680*m^3 + 269325*m^4 + 63273*m^5 + 9450*m^6 + 870*m^7 + 45*m^8 + m^9 + 362880))","B"
369,1,1425,292,5.086619,"\text{Not used}","int((d + e*x)^m*(2*x + 5*x^2 + 3)*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2),x)","\frac{{\left(d+e\,x\right)}^m\,\left(14400\,d^7+2040\,d^6\,e\,m+14280\,d^6\,e+408\,d^5\,e^2\,m^2+5304\,d^5\,e^2\,m+17136\,d^5\,e^2+24\,d^4\,e^3\,m^3+432\,d^4\,e^3\,m^2+2568\,d^4\,e^3\,m+5040\,d^4\,e^3+42\,d^3\,e^4\,m^4+924\,d^3\,e^4\,m^3+7518\,d^3\,e^4\,m^2+26796\,d^3\,e^4\,m+35280\,d^3\,e^4-7\,d^2\,e^5\,m^5-175\,d^2\,e^5\,m^4-1715\,d^2\,e^5\,m^3-8225\,d^2\,e^5\,m^2-19278\,d^2\,e^5\,m-17640\,d^2\,e^5+6\,d\,e^6\,m^6+162\,d\,e^6\,m^5+1770\,d\,e^6\,m^4+9990\,d\,e^6\,m^3+30624\,d\,e^6\,m^2+48168\,d\,e^6\,m+30240\,d\,e^6\right)}{e^7\,\left(m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040\right)}+\frac{20\,x^7\,{\left(d+e\,x\right)}^m\,\left(m^6+21\,m^5+175\,m^4+735\,m^3+1624\,m^2+1764\,m+720\right)}{m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040}-\frac{x\,{\left(d+e\,x\right)}^m\,\left(14400\,d^6\,e\,m+2040\,d^5\,e^2\,m^2+14280\,d^5\,e^2\,m+408\,d^4\,e^3\,m^3+5304\,d^4\,e^3\,m^2+17136\,d^4\,e^3\,m+24\,d^3\,e^4\,m^4+432\,d^3\,e^4\,m^3+2568\,d^3\,e^4\,m^2+5040\,d^3\,e^4\,m+42\,d^2\,e^5\,m^5+924\,d^2\,e^5\,m^4+7518\,d^2\,e^5\,m^3+26796\,d^2\,e^5\,m^2+35280\,d^2\,e^5\,m-7\,d\,e^6\,m^6-175\,d\,e^6\,m^5-1715\,d\,e^6\,m^4-8225\,d\,e^6\,m^3-19278\,d\,e^6\,m^2-17640\,d\,e^6\,m-6\,e^7\,m^6-162\,e^7\,m^5-1770\,e^7\,m^4-9990\,e^7\,m^3-30624\,e^7\,m^2-48168\,e^7\,m-30240\,e^7\right)}{e^7\,\left(m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040\right)}-\frac{x^3\,{\left(d+e\,x\right)}^m\,\left(m^2+3\,m+2\right)\,\left(2400\,d^4\,m+340\,d^3\,e\,m^2+2380\,d^3\,e\,m+68\,d^2\,e^2\,m^3+884\,d^2\,e^2\,m^2+2856\,d^2\,e^2\,m+4\,d\,e^3\,m^4+72\,d\,e^3\,m^3+428\,d\,e^3\,m^2+840\,d\,e^3\,m-21\,e^4\,m^4-462\,e^4\,m^3-3759\,e^4\,m^2-13398\,e^4\,m-17640\,e^4\right)}{e^4\,\left(m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040\right)}-\frac{x^5\,{\left(d+e\,x\right)}^m\,\left(m^4+10\,m^3+35\,m^2+50\,m+24\right)\,\left(120\,d^2\,m+17\,d\,e\,m^2+119\,d\,e\,m-17\,e^2\,m^2-221\,e^2\,m-714\,e^2\right)}{e^2\,\left(m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040\right)}+\frac{x^4\,{\left(d+e\,x\right)}^m\,\left(m^3+6\,m^2+11\,m+6\right)\,\left(600\,d^3\,m+85\,d^2\,e\,m^2+595\,d^2\,e\,m+17\,d\,e^2\,m^3+221\,d\,e^2\,m^2+714\,d\,e^2\,m-4\,e^3\,m^3-72\,e^3\,m^2-428\,e^3\,m-840\,e^3\right)}{e^3\,\left(m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040\right)}+\frac{x^2\,\left(m+1\right)\,{\left(d+e\,x\right)}^m\,\left(7200\,d^5\,m+1020\,d^4\,e\,m^2+7140\,d^4\,e\,m+204\,d^3\,e^2\,m^3+2652\,d^3\,e^2\,m^2+8568\,d^3\,e^2\,m+12\,d^2\,e^3\,m^4+216\,d^2\,e^3\,m^3+1284\,d^2\,e^3\,m^2+2520\,d^2\,e^3\,m+21\,d\,e^4\,m^5+462\,d\,e^4\,m^4+3759\,d\,e^4\,m^3+13398\,d\,e^4\,m^2+17640\,d\,e^4\,m+7\,e^5\,m^5+175\,e^5\,m^4+1715\,e^5\,m^3+8225\,e^5\,m^2+19278\,e^5\,m+17640\,e^5\right)}{e^5\,\left(m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040\right)}-\frac{x^6\,{\left(d+e\,x\right)}^m\,\left(119\,e-20\,d\,m+17\,e\,m\right)\,\left(m^5+15\,m^4+85\,m^3+225\,m^2+274\,m+120\right)}{e\,\left(m^7+28\,m^6+322\,m^5+1960\,m^4+6769\,m^3+13132\,m^2+13068\,m+5040\right)}","Not used",1,"((d + e*x)^m*(30240*d*e^6 + 14280*d^6*e + 14400*d^7 - 17640*d^2*e^5 + 35280*d^3*e^4 + 5040*d^4*e^3 + 17136*d^5*e^2 - 19278*d^2*e^5*m + 26796*d^3*e^4*m + 2568*d^4*e^3*m + 5304*d^5*e^2*m + 30624*d*e^6*m^2 + 9990*d*e^6*m^3 + 1770*d*e^6*m^4 + 162*d*e^6*m^5 + 6*d*e^6*m^6 - 8225*d^2*e^5*m^2 + 7518*d^3*e^4*m^2 + 432*d^4*e^3*m^2 + 408*d^5*e^2*m^2 - 1715*d^2*e^5*m^3 + 924*d^3*e^4*m^3 + 24*d^4*e^3*m^3 - 175*d^2*e^5*m^4 + 42*d^3*e^4*m^4 - 7*d^2*e^5*m^5 + 48168*d*e^6*m + 2040*d^6*e*m))/(e^7*(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040)) + (20*x^7*(d + e*x)^m*(1764*m + 1624*m^2 + 735*m^3 + 175*m^4 + 21*m^5 + m^6 + 720))/(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040) - (x*(d + e*x)^m*(35280*d^2*e^5*m - 30240*e^7 - 30624*e^7*m^2 - 9990*e^7*m^3 - 1770*e^7*m^4 - 162*e^7*m^5 - 6*e^7*m^6 - 48168*e^7*m + 5040*d^3*e^4*m + 17136*d^4*e^3*m + 14280*d^5*e^2*m - 19278*d*e^6*m^2 - 8225*d*e^6*m^3 - 1715*d*e^6*m^4 - 175*d*e^6*m^5 - 7*d*e^6*m^6 + 26796*d^2*e^5*m^2 + 2568*d^3*e^4*m^2 + 5304*d^4*e^3*m^2 + 2040*d^5*e^2*m^2 + 7518*d^2*e^5*m^3 + 432*d^3*e^4*m^3 + 408*d^4*e^3*m^3 + 924*d^2*e^5*m^4 + 24*d^3*e^4*m^4 + 42*d^2*e^5*m^5 - 17640*d*e^6*m + 14400*d^6*e*m))/(e^7*(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040)) - (x^3*(d + e*x)^m*(3*m + m^2 + 2)*(2400*d^4*m - 13398*e^4*m - 17640*e^4 - 3759*e^4*m^2 - 462*e^4*m^3 - 21*e^4*m^4 + 2856*d^2*e^2*m + 428*d*e^3*m^2 + 340*d^3*e*m^2 + 72*d*e^3*m^3 + 4*d*e^3*m^4 + 884*d^2*e^2*m^2 + 68*d^2*e^2*m^3 + 840*d*e^3*m + 2380*d^3*e*m))/(e^4*(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040)) - (x^5*(d + e*x)^m*(50*m + 35*m^2 + 10*m^3 + m^4 + 24)*(120*d^2*m - 221*e^2*m - 714*e^2 - 17*e^2*m^2 + 119*d*e*m + 17*d*e*m^2))/(e^2*(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040)) + (x^4*(d + e*x)^m*(11*m + 6*m^2 + m^3 + 6)*(600*d^3*m - 428*e^3*m - 840*e^3 - 72*e^3*m^2 - 4*e^3*m^3 + 221*d*e^2*m^2 + 85*d^2*e*m^2 + 17*d*e^2*m^3 + 714*d*e^2*m + 595*d^2*e*m))/(e^3*(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040)) + (x^2*(m + 1)*(d + e*x)^m*(7200*d^5*m + 19278*e^5*m + 17640*e^5 + 8225*e^5*m^2 + 1715*e^5*m^3 + 175*e^5*m^4 + 7*e^5*m^5 + 2520*d^2*e^3*m + 8568*d^3*e^2*m + 13398*d*e^4*m^2 + 1020*d^4*e*m^2 + 3759*d*e^4*m^3 + 462*d*e^4*m^4 + 21*d*e^4*m^5 + 1284*d^2*e^3*m^2 + 2652*d^3*e^2*m^2 + 216*d^2*e^3*m^3 + 204*d^3*e^2*m^3 + 12*d^2*e^3*m^4 + 17640*d*e^4*m + 7140*d^4*e*m))/(e^5*(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040)) - (x^6*(d + e*x)^m*(119*e - 20*d*m + 17*e*m)*(274*m + 225*m^2 + 85*m^3 + 15*m^4 + m^5 + 120))/(e*(13068*m + 13132*m^2 + 6769*m^3 + 1960*m^4 + 322*m^5 + 28*m^6 + m^7 + 5040))","B"
370,0,-1,255,0.000000,"\text{Not used}","int(((d + e*x)^m*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(2*x + 5*x^2 + 3),x)","\int \frac{{\left(d+e\,x\right)}^m\,\left(4\,x^4-5\,x^3+3\,x^2+x+2\right)}{5\,x^2+2\,x+3} \,d x","Not used",1,"int(((d + e*x)^m*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(2*x + 5*x^2 + 3), x)","F"
371,0,-1,377,0.000000,"\text{Not used}","int(((d + e*x)^m*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(2*x + 5*x^2 + 3)^2,x)","\int \frac{{\left(d+e\,x\right)}^m\,\left(4\,x^4-5\,x^3+3\,x^2+x+2\right)}{{\left(5\,x^2+2\,x+3\right)}^2} \,d x","Not used",1,"int(((d + e*x)^m*(x + 3*x^2 - 5*x^3 + 4*x^4 + 2))/(2*x + 5*x^2 + 3)^2, x)","F"
372,1,1027,528,6.174978,"\text{Not used}","int((d + e*x + f*x^2 + g*x^3 + h*x^4 + i*x^5)/(a + b*x + c*x^2)^3,x)","\frac{\mathrm{atan}\left(\frac{x\,\left(32\,a^2\,c^5\,{\left(4\,a\,c-b^2\right)}^{5/2}+2\,b^4\,c^3\,{\left(4\,a\,c-b^2\right)}^{5/2}-16\,a\,b^2\,c^4\,{\left(4\,a\,c-b^2\right)}^{5/2}\right)}{c^2\,{\left(4\,a\,c-b^2\right)}^5}+\frac{\left(32\,a^2\,c^5\,{\left(4\,a\,c-b^2\right)}^{5/2}+2\,b^4\,c^3\,{\left(4\,a\,c-b^2\right)}^{5/2}-16\,a\,b^2\,c^4\,{\left(4\,a\,c-b^2\right)}^{5/2}\right)\,\left(16\,a^2\,b\,c^4-8\,a\,b^3\,c^3+b^5\,c^2\right)}{2\,c^5\,{\left(4\,a\,c-b^2\right)}^5\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}\right)\,\left(-30\,i\,a^2\,b\,c^2+12\,h\,a^2\,c^3+10\,i\,a\,b^3\,c-6\,g\,a\,b\,c^3+4\,f\,a\,c^4-i\,b^5+2\,f\,b^2\,c^3-6\,e\,b\,c^4+12\,d\,c^5\right)}{c^3\,{\left(4\,a\,c-b^2\right)}^{5/2}}-\frac{\ln\left(c\,x^2+b\,x+a\right)\,\left(-1024\,i\,a^5\,c^5+1280\,i\,a^4\,b^2\,c^4-640\,i\,a^3\,b^4\,c^3+160\,i\,a^2\,b^6\,c^2-20\,i\,a\,b^8\,c+i\,b^{10}\right)}{2\,\left(1024\,a^5\,c^8-1280\,a^4\,b^2\,c^7+640\,a^3\,b^4\,c^6-160\,a^2\,b^6\,c^5+20\,a\,b^8\,c^4-b^{10}\,c^3\right)}-\frac{\frac{-24\,i\,a^4\,c^2+21\,i\,a^3\,b^2\,c-10\,h\,a^3\,b\,c^2+8\,g\,a^3\,c^3-3\,i\,a^2\,b^4+h\,a^2\,b^3\,c+g\,a^2\,b^2\,c^2-6\,f\,a^2\,b\,c^3+8\,e\,a^2\,c^4+e\,a\,b^2\,c^3-10\,d\,a\,b\,c^4+d\,b^3\,c^3}{2\,c^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}-\frac{x^2\,\left(32\,i\,a^3\,c^3+11\,i\,a^2\,b^2\,c^2+2\,h\,a^2\,b\,c^3-16\,g\,a^2\,c^4-19\,i\,a\,b^4\,c+8\,h\,a\,b^3\,c^2-g\,a\,b^2\,c^3+6\,f\,a\,b\,c^4+3\,i\,b^6-h\,b^5\,c-g\,b^4\,c^2+3\,f\,b^3\,c^3-9\,e\,b^2\,c^4+18\,d\,b\,c^5\right)}{2\,c^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}+\frac{x\,\left(-31\,i\,a^3\,b\,c^2+6\,h\,a^3\,c^3+22\,i\,a^2\,b^3\,c-10\,h\,a^2\,b^2\,c^2+5\,g\,a^2\,b\,c^3+2\,f\,a^2\,c^4-3\,i\,a\,b^5+h\,a\,b^4\,c+g\,a\,b^3\,c^2-5\,f\,a\,b^2\,c^3+5\,e\,a\,b\,c^4-10\,d\,a\,c^5+e\,b^3\,c^3-2\,d\,b^2\,c^4\right)}{c^3\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}-\frac{x^3\,\left(25\,i\,a^2\,b\,c^2-10\,h\,a^2\,c^3-15\,i\,a\,b^3\,c+8\,h\,a\,b^2\,c^2-3\,g\,a\,b\,c^3+2\,f\,a\,c^4+2\,i\,b^5-h\,b^4\,c+f\,b^2\,c^3-3\,e\,b\,c^4+6\,d\,c^5\right)}{c^2\,\left(16\,a^2\,c^2-8\,a\,b^2\,c+b^4\right)}}{x^2\,\left(b^2+2\,a\,c\right)+a^2+c^2\,x^4+2\,a\,b\,x+2\,b\,c\,x^3}","Not used",1,"(atan((x*(32*a^2*c^5*(4*a*c - b^2)^(5/2) + 2*b^4*c^3*(4*a*c - b^2)^(5/2) - 16*a*b^2*c^4*(4*a*c - b^2)^(5/2)))/(c^2*(4*a*c - b^2)^5) + ((32*a^2*c^5*(4*a*c - b^2)^(5/2) + 2*b^4*c^3*(4*a*c - b^2)^(5/2) - 16*a*b^2*c^4*(4*a*c - b^2)^(5/2))*(b^5*c^2 - 8*a*b^3*c^3 + 16*a^2*b*c^4))/(2*c^5*(4*a*c - b^2)^5*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))*(12*c^5*d - b^5*i + 2*b^2*c^3*f + 12*a^2*c^3*h + 4*a*c^4*f - 6*b*c^4*e - 6*a*b*c^3*g + 10*a*b^3*c*i - 30*a^2*b*c^2*i))/(c^3*(4*a*c - b^2)^(5/2)) - (log(a + b*x + c*x^2)*(b^10*i - 1024*a^5*c^5*i + 160*a^2*b^6*c^2*i - 640*a^3*b^4*c^3*i + 1280*a^4*b^2*c^4*i - 20*a*b^8*c*i))/(2*(1024*a^5*c^8 - b^10*c^3 + 20*a*b^8*c^4 - 160*a^2*b^6*c^5 + 640*a^3*b^4*c^6 - 1280*a^4*b^2*c^7)) - ((8*a^2*c^4*e + b^3*c^3*d + 8*a^3*c^3*g - 3*a^2*b^4*i - 24*a^4*c^2*i + a^2*b^2*c^2*g - 10*a*b*c^4*d + a*b^2*c^3*e - 6*a^2*b*c^3*f + a^2*b^3*c*h - 10*a^3*b*c^2*h + 21*a^3*b^2*c*i)/(2*c^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (x^2*(3*b^6*i - 9*b^2*c^4*e - 16*a^2*c^4*g + 3*b^3*c^3*f - b^4*c^2*g + 32*a^3*c^3*i + 18*b*c^5*d - b^5*c*h + 11*a^2*b^2*c^2*i + 6*a*b*c^4*f - 19*a*b^4*c*i - a*b^2*c^3*g + 8*a*b^3*c^2*h + 2*a^2*b*c^3*h))/(2*c^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) + (x*(2*a^2*c^4*f - 2*b^2*c^4*d + b^3*c^3*e + 6*a^3*c^3*h - 10*a*c^5*d - 3*a*b^5*i - 10*a^2*b^2*c^2*h + 5*a*b*c^4*e + a*b^4*c*h - 5*a*b^2*c^3*f + a*b^3*c^2*g + 5*a^2*b*c^3*g + 22*a^2*b^3*c*i - 31*a^3*b*c^2*i))/(c^3*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)) - (x^3*(6*c^5*d + 2*b^5*i + b^2*c^3*f - 10*a^2*c^3*h + 2*a*c^4*f - 3*b*c^4*e - b^4*c*h - 3*a*b*c^3*g - 15*a*b^3*c*i + 8*a*b^2*c^2*h + 25*a^2*b*c^2*i))/(c^2*(b^4 + 16*a^2*c^2 - 8*a*b^2*c)))/(x^2*(2*a*c + b^2) + a^2 + c^2*x^4 + 2*a*b*x + 2*b*c*x^3)","B"
373,1,2779,765,7.260822,"\text{Not used}","int((d + e*x + f*x^2 + g*x^3 + h*x^4 + j*x^5 + k*x^6 + l*x^7 + m*x^8)/(a + b*x + c*x^2),x)","x^6\,\left(\frac{l}{6\,c}-\frac{b\,m}{6\,c^2}\right)+x\,\left(\frac{f}{c}+\frac{b\,\left(\frac{a\,\left(\frac{j}{c}-\frac{a\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}+\frac{b\,\left(\frac{b\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}-\frac{k}{c}+\frac{a\,m}{c^2}\right)}{c}\right)}{c}-\frac{g}{c}+\frac{b\,\left(\frac{h}{c}-\frac{b\,\left(\frac{j}{c}-\frac{a\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}+\frac{b\,\left(\frac{b\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}-\frac{k}{c}+\frac{a\,m}{c^2}\right)}{c}\right)}{c}+\frac{a\,\left(\frac{b\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}-\frac{k}{c}+\frac{a\,m}{c^2}\right)}{c}\right)}{c}\right)}{c}-\frac{a\,\left(\frac{h}{c}-\frac{b\,\left(\frac{j}{c}-\frac{a\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}+\frac{b\,\left(\frac{b\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}-\frac{k}{c}+\frac{a\,m}{c^2}\right)}{c}\right)}{c}+\frac{a\,\left(\frac{b\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}-\frac{k}{c}+\frac{a\,m}{c^2}\right)}{c}\right)}{c}\right)+x^4\,\left(\frac{j}{4\,c}-\frac{a\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{4\,c}+\frac{b\,\left(\frac{b\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}-\frac{k}{c}+\frac{a\,m}{c^2}\right)}{4\,c}\right)-x^2\,\left(\frac{a\,\left(\frac{j}{c}-\frac{a\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}+\frac{b\,\left(\frac{b\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}-\frac{k}{c}+\frac{a\,m}{c^2}\right)}{c}\right)}{2\,c}-\frac{g}{2\,c}+\frac{b\,\left(\frac{h}{c}-\frac{b\,\left(\frac{j}{c}-\frac{a\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}+\frac{b\,\left(\frac{b\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}-\frac{k}{c}+\frac{a\,m}{c^2}\right)}{c}\right)}{c}+\frac{a\,\left(\frac{b\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}-\frac{k}{c}+\frac{a\,m}{c^2}\right)}{c}\right)}{2\,c}\right)+x^3\,\left(\frac{h}{3\,c}-\frac{b\,\left(\frac{j}{c}-\frac{a\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}+\frac{b\,\left(\frac{b\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}-\frac{k}{c}+\frac{a\,m}{c^2}\right)}{c}\right)}{3\,c}+\frac{a\,\left(\frac{b\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{c}-\frac{k}{c}+\frac{a\,m}{c^2}\right)}{3\,c}\right)-x^5\,\left(\frac{b\,\left(\frac{l}{c}-\frac{b\,m}{c^2}\right)}{5\,c}-\frac{k}{5\,c}+\frac{a\,m}{5\,c^2}\right)+\frac{\ln\left(\left(2\,c^9\,x\,\sqrt{-\frac{{\left(2\,m\,a^4\,c^4-16\,m\,a^3\,b^2\,c^3+7\,l\,a^3\,b\,c^4-2\,k\,a^3\,c^5+20\,m\,a^2\,b^4\,c^2-14\,l\,a^2\,b^3\,c^3+9\,k\,a^2\,b^2\,c^4-5\,j\,a^2\,b\,c^5+2\,h\,a^2\,c^6-8\,m\,a\,b^6\,c+7\,l\,a\,b^5\,c^2-6\,k\,a\,b^4\,c^3+5\,j\,a\,b^3\,c^4-4\,h\,a\,b^2\,c^5+3\,g\,a\,b\,c^6-2\,f\,a\,c^7+m\,b^8-l\,b^7\,c+k\,b^6\,c^2-j\,b^5\,c^3+h\,b^4\,c^4-g\,b^3\,c^5+f\,b^2\,c^6-e\,b\,c^7+2\,d\,c^8\right)}^2}{c^{16}\,\left(4\,a\,c-b^2\right)}}-b^8\,m-2\,c^8\,d-b^2\,c^6\,f-2\,a^2\,c^6\,h+b^3\,c^5\,g-b^4\,c^4\,h+2\,a^3\,c^5\,k+b^5\,c^3\,j-b^6\,c^2\,k-2\,a^4\,c^4\,m+2\,a\,c^7\,f+b\,c^7\,e+b^7\,c\,l+b\,c^8\,\sqrt{-\frac{{\left(2\,m\,a^4\,c^4-16\,m\,a^3\,b^2\,c^3+7\,l\,a^3\,b\,c^4-2\,k\,a^3\,c^5+20\,m\,a^2\,b^4\,c^2-14\,l\,a^2\,b^3\,c^3+9\,k\,a^2\,b^2\,c^4-5\,j\,a^2\,b\,c^5+2\,h\,a^2\,c^6-8\,m\,a\,b^6\,c+7\,l\,a\,b^5\,c^2-6\,k\,a\,b^4\,c^3+5\,j\,a\,b^3\,c^4-4\,h\,a\,b^2\,c^5+3\,g\,a\,b\,c^6-2\,f\,a\,c^7+m\,b^8-l\,b^7\,c+k\,b^6\,c^2-j\,b^5\,c^3+h\,b^4\,c^4-g\,b^3\,c^5+f\,b^2\,c^6-e\,b\,c^7+2\,d\,c^8\right)}^2}{c^{16}\,\left(4\,a\,c-b^2\right)}}-9\,a^2\,b^2\,c^4\,k+14\,a^2\,b^3\,c^3\,l-20\,a^2\,b^4\,c^2\,m+16\,a^3\,b^2\,c^3\,m-3\,a\,b\,c^6\,g+8\,a\,b^6\,c\,m+4\,a\,b^2\,c^5\,h-5\,a\,b^3\,c^4\,j+5\,a^2\,b\,c^5\,j+6\,a\,b^4\,c^3\,k-7\,a\,b^5\,c^2\,l-7\,a^3\,b\,c^4\,l\right)\,\left(2\,c^8\,d+b^8\,m+2\,c^9\,x\,\sqrt{-\frac{{\left(2\,m\,a^4\,c^4-16\,m\,a^3\,b^2\,c^3+7\,l\,a^3\,b\,c^4-2\,k\,a^3\,c^5+20\,m\,a^2\,b^4\,c^2-14\,l\,a^2\,b^3\,c^3+9\,k\,a^2\,b^2\,c^4-5\,j\,a^2\,b\,c^5+2\,h\,a^2\,c^6-8\,m\,a\,b^6\,c+7\,l\,a\,b^5\,c^2-6\,k\,a\,b^4\,c^3+5\,j\,a\,b^3\,c^4-4\,h\,a\,b^2\,c^5+3\,g\,a\,b\,c^6-2\,f\,a\,c^7+m\,b^8-l\,b^7\,c+k\,b^6\,c^2-j\,b^5\,c^3+h\,b^4\,c^4-g\,b^3\,c^5+f\,b^2\,c^6-e\,b\,c^7+2\,d\,c^8\right)}^2}{c^{16}\,\left(4\,a\,c-b^2\right)}}+b^2\,c^6\,f+2\,a^2\,c^6\,h-b^3\,c^5\,g+b^4\,c^4\,h-2\,a^3\,c^5\,k-b^5\,c^3\,j+b^6\,c^2\,k+2\,a^4\,c^4\,m-2\,a\,c^7\,f-b\,c^7\,e-b^7\,c\,l+b\,c^8\,\sqrt{-\frac{{\left(2\,m\,a^4\,c^4-16\,m\,a^3\,b^2\,c^3+7\,l\,a^3\,b\,c^4-2\,k\,a^3\,c^5+20\,m\,a^2\,b^4\,c^2-14\,l\,a^2\,b^3\,c^3+9\,k\,a^2\,b^2\,c^4-5\,j\,a^2\,b\,c^5+2\,h\,a^2\,c^6-8\,m\,a\,b^6\,c+7\,l\,a\,b^5\,c^2-6\,k\,a\,b^4\,c^3+5\,j\,a\,b^3\,c^4-4\,h\,a\,b^2\,c^5+3\,g\,a\,b\,c^6-2\,f\,a\,c^7+m\,b^8-l\,b^7\,c+k\,b^6\,c^2-j\,b^5\,c^3+h\,b^4\,c^4-g\,b^3\,c^5+f\,b^2\,c^6-e\,b\,c^7+2\,d\,c^8\right)}^2}{c^{16}\,\left(4\,a\,c-b^2\right)}}+9\,a^2\,b^2\,c^4\,k-14\,a^2\,b^3\,c^3\,l+20\,a^2\,b^4\,c^2\,m-16\,a^3\,b^2\,c^3\,m+3\,a\,b\,c^6\,g-8\,a\,b^6\,c\,m-4\,a\,b^2\,c^5\,h+5\,a\,b^3\,c^4\,j-5\,a^2\,b\,c^5\,j-6\,a\,b^4\,c^3\,k+7\,a\,b^5\,c^2\,l+7\,a^3\,b\,c^4\,l\right)\right)\,\left(16\,m\,a^4\,b\,c^4-4\,l\,a^4\,c^5-44\,m\,a^3\,b^3\,c^3+25\,l\,a^3\,b^2\,c^4-12\,k\,a^3\,b\,c^5+4\,j\,a^3\,c^6+34\,m\,a^2\,b^5\,c^2-26\,l\,a^2\,b^4\,c^3+19\,k\,a^2\,b^3\,c^4-13\,j\,a^2\,b^2\,c^5+8\,h\,a^2\,b\,c^6-4\,g\,a^2\,c^7-10\,m\,a\,b^7\,c+9\,l\,a\,b^6\,c^2-8\,k\,a\,b^5\,c^3+7\,j\,a\,b^4\,c^4-6\,h\,a\,b^3\,c^5+5\,g\,a\,b^2\,c^6-4\,f\,a\,b\,c^7+4\,e\,a\,c^8+m\,b^9-l\,b^8\,c+k\,b^7\,c^2-j\,b^6\,c^3+h\,b^5\,c^4-g\,b^4\,c^5+f\,b^3\,c^6-e\,b^2\,c^7\right)}{2\,\left(4\,a\,c^9-b^2\,c^8\right)}+\frac{m\,x^7}{7\,c}+\frac{\mathrm{atan}\left(\frac{b}{\sqrt{4\,a\,c-b^2}}+\frac{2\,c\,x}{\sqrt{4\,a\,c-b^2}}\right)\,\left(2\,m\,a^4\,c^4-16\,m\,a^3\,b^2\,c^3+7\,l\,a^3\,b\,c^4-2\,k\,a^3\,c^5+20\,m\,a^2\,b^4\,c^2-14\,l\,a^2\,b^3\,c^3+9\,k\,a^2\,b^2\,c^4-5\,j\,a^2\,b\,c^5+2\,h\,a^2\,c^6-8\,m\,a\,b^6\,c+7\,l\,a\,b^5\,c^2-6\,k\,a\,b^4\,c^3+5\,j\,a\,b^3\,c^4-4\,h\,a\,b^2\,c^5+3\,g\,a\,b\,c^6-2\,f\,a\,c^7+m\,b^8-l\,b^7\,c+k\,b^6\,c^2-j\,b^5\,c^3+h\,b^4\,c^4-g\,b^3\,c^5+f\,b^2\,c^6-e\,b\,c^7+2\,d\,c^8\right)}{c^8\,\sqrt{4\,a\,c-b^2}}","Not used",1,"x^6*(l/(6*c) - (b*m)/(6*c^2)) + x*(f/c + (b*((a*(j/c - (a*(l/c - (b*m)/c^2))/c + (b*((b*(l/c - (b*m)/c^2))/c - k/c + (a*m)/c^2))/c))/c - g/c + (b*(h/c - (b*(j/c - (a*(l/c - (b*m)/c^2))/c + (b*((b*(l/c - (b*m)/c^2))/c - k/c + (a*m)/c^2))/c))/c + (a*((b*(l/c - (b*m)/c^2))/c - k/c + (a*m)/c^2))/c))/c))/c - (a*(h/c - (b*(j/c - (a*(l/c - (b*m)/c^2))/c + (b*((b*(l/c - (b*m)/c^2))/c - k/c + (a*m)/c^2))/c))/c + (a*((b*(l/c - (b*m)/c^2))/c - k/c + (a*m)/c^2))/c))/c) + x^4*(j/(4*c) - (a*(l/c - (b*m)/c^2))/(4*c) + (b*((b*(l/c - (b*m)/c^2))/c - k/c + (a*m)/c^2))/(4*c)) - x^2*((a*(j/c - (a*(l/c - (b*m)/c^2))/c + (b*((b*(l/c - (b*m)/c^2))/c - k/c + (a*m)/c^2))/c))/(2*c) - g/(2*c) + (b*(h/c - (b*(j/c - (a*(l/c - (b*m)/c^2))/c + (b*((b*(l/c - (b*m)/c^2))/c - k/c + (a*m)/c^2))/c))/c + (a*((b*(l/c - (b*m)/c^2))/c - k/c + (a*m)/c^2))/c))/(2*c)) + x^3*(h/(3*c) - (b*(j/c - (a*(l/c - (b*m)/c^2))/c + (b*((b*(l/c - (b*m)/c^2))/c - k/c + (a*m)/c^2))/c))/(3*c) + (a*((b*(l/c - (b*m)/c^2))/c - k/c + (a*m)/c^2))/(3*c)) - x^5*((b*(l/c - (b*m)/c^2))/(5*c) - k/(5*c) + (a*m)/(5*c^2)) + (log((2*c^9*x*(-(2*c^8*d + b^8*m + b^2*c^6*f + 2*a^2*c^6*h - b^3*c^5*g + b^4*c^4*h - 2*a^3*c^5*k - b^5*c^3*j + b^6*c^2*k + 2*a^4*c^4*m - 2*a*c^7*f - b*c^7*e - b^7*c*l + 9*a^2*b^2*c^4*k - 14*a^2*b^3*c^3*l + 20*a^2*b^4*c^2*m - 16*a^3*b^2*c^3*m + 3*a*b*c^6*g - 8*a*b^6*c*m - 4*a*b^2*c^5*h + 5*a*b^3*c^4*j - 5*a^2*b*c^5*j - 6*a*b^4*c^3*k + 7*a*b^5*c^2*l + 7*a^3*b*c^4*l)^2/(c^16*(4*a*c - b^2)))^(1/2) - b^8*m - 2*c^8*d - b^2*c^6*f - 2*a^2*c^6*h + b^3*c^5*g - b^4*c^4*h + 2*a^3*c^5*k + b^5*c^3*j - b^6*c^2*k - 2*a^4*c^4*m + 2*a*c^7*f + b*c^7*e + b^7*c*l + b*c^8*(-(2*c^8*d + b^8*m + b^2*c^6*f + 2*a^2*c^6*h - b^3*c^5*g + b^4*c^4*h - 2*a^3*c^5*k - b^5*c^3*j + b^6*c^2*k + 2*a^4*c^4*m - 2*a*c^7*f - b*c^7*e - b^7*c*l + 9*a^2*b^2*c^4*k - 14*a^2*b^3*c^3*l + 20*a^2*b^4*c^2*m - 16*a^3*b^2*c^3*m + 3*a*b*c^6*g - 8*a*b^6*c*m - 4*a*b^2*c^5*h + 5*a*b^3*c^4*j - 5*a^2*b*c^5*j - 6*a*b^4*c^3*k + 7*a*b^5*c^2*l + 7*a^3*b*c^4*l)^2/(c^16*(4*a*c - b^2)))^(1/2) - 9*a^2*b^2*c^4*k + 14*a^2*b^3*c^3*l - 20*a^2*b^4*c^2*m + 16*a^3*b^2*c^3*m - 3*a*b*c^6*g + 8*a*b^6*c*m + 4*a*b^2*c^5*h - 5*a*b^3*c^4*j + 5*a^2*b*c^5*j + 6*a*b^4*c^3*k - 7*a*b^5*c^2*l - 7*a^3*b*c^4*l)*(2*c^8*d + b^8*m + 2*c^9*x*(-(2*c^8*d + b^8*m + b^2*c^6*f + 2*a^2*c^6*h - b^3*c^5*g + b^4*c^4*h - 2*a^3*c^5*k - b^5*c^3*j + b^6*c^2*k + 2*a^4*c^4*m - 2*a*c^7*f - b*c^7*e - b^7*c*l + 9*a^2*b^2*c^4*k - 14*a^2*b^3*c^3*l + 20*a^2*b^4*c^2*m - 16*a^3*b^2*c^3*m + 3*a*b*c^6*g - 8*a*b^6*c*m - 4*a*b^2*c^5*h + 5*a*b^3*c^4*j - 5*a^2*b*c^5*j - 6*a*b^4*c^3*k + 7*a*b^5*c^2*l + 7*a^3*b*c^4*l)^2/(c^16*(4*a*c - b^2)))^(1/2) + b^2*c^6*f + 2*a^2*c^6*h - b^3*c^5*g + b^4*c^4*h - 2*a^3*c^5*k - b^5*c^3*j + b^6*c^2*k + 2*a^4*c^4*m - 2*a*c^7*f - b*c^7*e - b^7*c*l + b*c^8*(-(2*c^8*d + b^8*m + b^2*c^6*f + 2*a^2*c^6*h - b^3*c^5*g + b^4*c^4*h - 2*a^3*c^5*k - b^5*c^3*j + b^6*c^2*k + 2*a^4*c^4*m - 2*a*c^7*f - b*c^7*e - b^7*c*l + 9*a^2*b^2*c^4*k - 14*a^2*b^3*c^3*l + 20*a^2*b^4*c^2*m - 16*a^3*b^2*c^3*m + 3*a*b*c^6*g - 8*a*b^6*c*m - 4*a*b^2*c^5*h + 5*a*b^3*c^4*j - 5*a^2*b*c^5*j - 6*a*b^4*c^3*k + 7*a*b^5*c^2*l + 7*a^3*b*c^4*l)^2/(c^16*(4*a*c - b^2)))^(1/2) + 9*a^2*b^2*c^4*k - 14*a^2*b^3*c^3*l + 20*a^2*b^4*c^2*m - 16*a^3*b^2*c^3*m + 3*a*b*c^6*g - 8*a*b^6*c*m - 4*a*b^2*c^5*h + 5*a*b^3*c^4*j - 5*a^2*b*c^5*j - 6*a*b^4*c^3*k + 7*a*b^5*c^2*l + 7*a^3*b*c^4*l))*(b^9*m - b^2*c^7*e - 4*a^2*c^7*g + b^3*c^6*f - b^4*c^5*g + b^5*c^4*h + 4*a^3*c^6*j - b^6*c^3*j - 4*a^4*c^5*l + b^7*c^2*k + 4*a*c^8*e - b^8*c*l - 13*a^2*b^2*c^5*j + 19*a^2*b^3*c^4*k - 26*a^2*b^4*c^3*l + 25*a^3*b^2*c^4*l + 34*a^2*b^5*c^2*m - 44*a^3*b^3*c^3*m - 4*a*b*c^7*f - 10*a*b^7*c*m + 5*a*b^2*c^6*g - 6*a*b^3*c^5*h + 8*a^2*b*c^6*h + 7*a*b^4*c^4*j - 8*a*b^5*c^3*k - 12*a^3*b*c^5*k + 9*a*b^6*c^2*l + 16*a^4*b*c^4*m))/(2*(4*a*c^9 - b^2*c^8)) + (m*x^7)/(7*c) + (atan(b/(4*a*c - b^2)^(1/2) + (2*c*x)/(4*a*c - b^2)^(1/2))*(2*c^8*d + b^8*m + b^2*c^6*f + 2*a^2*c^6*h - b^3*c^5*g + b^4*c^4*h - 2*a^3*c^5*k - b^5*c^3*j + b^6*c^2*k + 2*a^4*c^4*m - 2*a*c^7*f - b*c^7*e - b^7*c*l + 9*a^2*b^2*c^4*k - 14*a^2*b^3*c^3*l + 20*a^2*b^4*c^2*m - 16*a^3*b^2*c^3*m + 3*a*b*c^6*g - 8*a*b^6*c*m - 4*a*b^2*c^5*h + 5*a*b^3*c^4*j - 5*a^2*b*c^5*j - 6*a*b^4*c^3*k + 7*a*b^5*c^2*l + 7*a^3*b*c^4*l))/(c^8*(4*a*c - b^2)^(1/2))","B"
374,1,221,208,6.306150,"\text{Not used}","int((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(1/2)*(4*x - 7*x^2 + 1)^3,x)","\frac{98060877\,x^2\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{4375000}-\frac{90960857\,x^3\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{1575000}-\frac{888751\,x^4\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{105000}+\frac{190939\,x^5\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{3000}-\frac{50519\,x^6\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{2250}-\frac{343\,x^7\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{50}-\frac{3048580429\,\sqrt{5}\,\ln\left(\sqrt{5\,x^2+2\,x+3}+\frac{\sqrt{5}\,\left(5\,x+1\right)}{5}\right)}{156250000}-\frac{3048580429\,\left(\frac{x}{2}+\frac{1}{10}\right)\,\sqrt{5\,x^2+2\,x+3}}{43750000}-\frac{1968340667\,\sqrt{5\,x^2+2\,x+3}\,\left(200\,x^2+20\,x+108\right)}{5250000000}+\frac{1045360143\,x\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{43750000}+\frac{1968340667\,\sqrt{5}\,\ln\left(2\,\sqrt{5\,x^2+2\,x+3}+\frac{\sqrt{5}\,\left(10\,x+2\right)}{5}\right)}{156250000}","Not used",1,"(98060877*x^2*(2*x + 5*x^2 + 3)^(3/2))/4375000 - (90960857*x^3*(2*x + 5*x^2 + 3)^(3/2))/1575000 - (888751*x^4*(2*x + 5*x^2 + 3)^(3/2))/105000 + (190939*x^5*(2*x + 5*x^2 + 3)^(3/2))/3000 - (50519*x^6*(2*x + 5*x^2 + 3)^(3/2))/2250 - (343*x^7*(2*x + 5*x^2 + 3)^(3/2))/50 - (3048580429*5^(1/2)*log((2*x + 5*x^2 + 3)^(1/2) + (5^(1/2)*(5*x + 1))/5))/156250000 - (3048580429*(x/2 + 1/10)*(2*x + 5*x^2 + 3)^(1/2))/43750000 - (1968340667*(2*x + 5*x^2 + 3)^(1/2)*(20*x + 200*x^2 + 108))/5250000000 + (1045360143*x*(2*x + 5*x^2 + 3)^(3/2))/43750000 + (1968340667*5^(1/2)*log(2*(2*x + 5*x^2 + 3)^(1/2) + (5^(1/2)*(10*x + 2))/5))/156250000","B"
375,1,187,166,6.008612,"\text{Not used}","int((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(1/2)*(4*x - 7*x^2 + 1)^2,x)","\frac{989\,x^4\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{200}-\frac{25277\,x^3\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{3000}-\frac{77509\,x^2\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{25000}+\frac{49\,x^5\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{40}-\frac{33915049\,\sqrt{5}\,\ln\left(\sqrt{5\,x^2+2\,x+3}+\frac{\sqrt{5}\,\left(5\,x+1\right)}{5}\right)}{6250000}-\frac{4845007\,\left(\frac{x}{2}+\frac{1}{10}\right)\,\sqrt{5\,x^2+2\,x+3}}{250000}+\frac{198439\,\sqrt{5\,x^2+2\,x+3}\,\left(200\,x^2+20\,x+108\right)}{30000000}+\frac{1781669\,x\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{250000}-\frac{1389073\,\sqrt{5}\,\ln\left(2\,\sqrt{5\,x^2+2\,x+3}+\frac{\sqrt{5}\,\left(10\,x+2\right)}{5}\right)}{6250000}","Not used",1,"(989*x^4*(2*x + 5*x^2 + 3)^(3/2))/200 - (25277*x^3*(2*x + 5*x^2 + 3)^(3/2))/3000 - (77509*x^2*(2*x + 5*x^2 + 3)^(3/2))/25000 + (49*x^5*(2*x + 5*x^2 + 3)^(3/2))/40 - (33915049*5^(1/2)*log((2*x + 5*x^2 + 3)^(1/2) + (5^(1/2)*(5*x + 1))/5))/6250000 - (4845007*(x/2 + 1/10)*(2*x + 5*x^2 + 3)^(1/2))/250000 + (198439*(2*x + 5*x^2 + 3)^(1/2)*(20*x + 200*x^2 + 108))/30000000 + (1781669*x*(2*x + 5*x^2 + 3)^(3/2))/250000 - (1389073*5^(1/2)*log(2*(2*x + 5*x^2 + 3)^(1/2) + (5^(1/2)*(10*x + 2))/5))/6250000","B"
376,1,153,124,5.378238,"\text{Not used}","int((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(1/2)*(4*x - 7*x^2 + 1),x)","\frac{7819\,\sqrt{5\,x^2+2\,x+3}\,\left(200\,x^2+20\,x+108\right)}{300000}-\frac{7\,x^3\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{30}-\frac{10129\,\sqrt{5}\,\ln\left(\sqrt{5\,x^2+2\,x+3}+\frac{\sqrt{5}\,\left(5\,x+1\right)}{5}\right)}{62500}-\frac{1447\,\left(\frac{x}{2}+\frac{1}{10}\right)\,\sqrt{5\,x^2+2\,x+3}}{2500}-\frac{289\,x^2\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{250}+\frac{2149\,x\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{2500}-\frac{54733\,\sqrt{5}\,\ln\left(2\,\sqrt{5\,x^2+2\,x+3}+\frac{\sqrt{5}\,\left(10\,x+2\right)}{5}\right)}{62500}","Not used",1,"(7819*(2*x + 5*x^2 + 3)^(1/2)*(20*x + 200*x^2 + 108))/300000 - (7*x^3*(2*x + 5*x^2 + 3)^(3/2))/30 - (10129*5^(1/2)*log((2*x + 5*x^2 + 3)^(1/2) + (5^(1/2)*(5*x + 1))/5))/62500 - (1447*(x/2 + 1/10)*(2*x + 5*x^2 + 3)^(1/2))/2500 - (289*x^2*(2*x + 5*x^2 + 3)^(3/2))/250 + (2149*x*(2*x + 5*x^2 + 3)^(3/2))/2500 - (54733*5^(1/2)*log(2*(2*x + 5*x^2 + 3)^(1/2) + (5^(1/2)*(10*x + 2))/5))/62500","B"
377,0,-1,187,0.000000,"\text{Not used}","int(((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(1/2))/(4*x - 7*x^2 + 1),x)","\int \frac{\left(x^2+5\,x+2\right)\,\sqrt{5\,x^2+2\,x+3}}{-7\,x^2+4\,x+1} \,d x","Not used",1,"int(((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(1/2))/(4*x - 7*x^2 + 1), x)","F"
378,0,-1,199,0.000000,"\text{Not used}","int(((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(1/2))/(4*x - 7*x^2 + 1)^2,x)","\int \frac{\left(x^2+5\,x+2\right)\,\sqrt{5\,x^2+2\,x+3}}{{\left(-7\,x^2+4\,x+1\right)}^2} \,d x","Not used",1,"int(((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(1/2))/(4*x - 7*x^2 + 1)^2, x)","F"
379,0,-1,213,0.000000,"\text{Not used}","int(((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(1/2))/(4*x - 7*x^2 + 1)^3,x)","\int \frac{\left(x^2+5\,x+2\right)\,\sqrt{5\,x^2+2\,x+3}}{{\left(-7\,x^2+4\,x+1\right)}^3} \,d x","Not used",1,"int(((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(1/2))/(4*x - 7*x^2 + 1)^3, x)","F"
380,0,-1,231,0.000000,"\text{Not used}","int((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(3/2)*(4*x - 7*x^2 + 1)^3,x)","\int \left(x^2+5\,x+2\right)\,{\left(5\,x^2+2\,x+3\right)}^{3/2}\,{\left(-7\,x^2+4\,x+1\right)}^3 \,d x","Not used",1,"int((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(3/2)*(4*x - 7*x^2 + 1)^3, x)","F"
381,0,-1,189,0.000000,"\text{Not used}","int((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(3/2)*(4*x - 7*x^2 + 1)^2,x)","\int \left(x^2+5\,x+2\right)\,{\left(5\,x^2+2\,x+3\right)}^{3/2}\,{\left(-7\,x^2+4\,x+1\right)}^2 \,d x","Not used",1,"int((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(3/2)*(4*x - 7*x^2 + 1)^2, x)","F"
382,0,-1,147,0.000000,"\text{Not used}","int((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(3/2)*(4*x - 7*x^2 + 1),x)","\int \left(x^2+5\,x+2\right)\,{\left(5\,x^2+2\,x+3\right)}^{3/2}\,\left(-7\,x^2+4\,x+1\right) \,d x","Not used",1,"int((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(3/2)*(4*x - 7*x^2 + 1), x)","F"
383,0,-1,210,0.000000,"\text{Not used}","int(((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(3/2))/(4*x - 7*x^2 + 1),x)","\int \frac{\left(x^2+5\,x+2\right)\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{-7\,x^2+4\,x+1} \,d x","Not used",1,"int(((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(3/2))/(4*x - 7*x^2 + 1), x)","F"
384,0,-1,222,0.000000,"\text{Not used}","int(((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(3/2))/(4*x - 7*x^2 + 1)^2,x)","\int \frac{\left(x^2+5\,x+2\right)\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{{\left(-7\,x^2+4\,x+1\right)}^2} \,d x","Not used",1,"int(((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(3/2))/(4*x - 7*x^2 + 1)^2, x)","F"
385,0,-1,234,0.000000,"\text{Not used}","int(((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(3/2))/(4*x - 7*x^2 + 1)^3,x)","\int \frac{\left(x^2+5\,x+2\right)\,{\left(5\,x^2+2\,x+3\right)}^{3/2}}{{\left(-7\,x^2+4\,x+1\right)}^3} \,d x","Not used",1,"int(((5*x + x^2 + 2)*(2*x + 5*x^2 + 3)^(3/2))/(4*x - 7*x^2 + 1)^3, x)","F"
386,0,-1,185,0.000000,"\text{Not used}","int(((5*x + x^2 + 2)*(4*x - 7*x^2 + 1)^3)/(2*x + 5*x^2 + 3)^(1/2),x)","\int \frac{\left(x^2+5\,x+2\right)\,{\left(-7\,x^2+4\,x+1\right)}^3}{\sqrt{5\,x^2+2\,x+3}} \,d x","Not used",1,"int(((5*x + x^2 + 2)*(4*x - 7*x^2 + 1)^3)/(2*x + 5*x^2 + 3)^(1/2), x)","F"
387,0,-1,143,0.000000,"\text{Not used}","int(((5*x + x^2 + 2)*(4*x - 7*x^2 + 1)^2)/(2*x + 5*x^2 + 3)^(1/2),x)","\int \frac{\left(x^2+5\,x+2\right)\,{\left(-7\,x^2+4\,x+1\right)}^2}{\sqrt{5\,x^2+2\,x+3}} \,d x","Not used",1,"int(((5*x + x^2 + 2)*(4*x - 7*x^2 + 1)^2)/(2*x + 5*x^2 + 3)^(1/2), x)","F"
388,0,-1,101,0.000000,"\text{Not used}","int(((5*x + x^2 + 2)*(4*x - 7*x^2 + 1))/(2*x + 5*x^2 + 3)^(1/2),x)","\int \frac{\left(x^2+5\,x+2\right)\,\left(-7\,x^2+4\,x+1\right)}{\sqrt{5\,x^2+2\,x+3}} \,d x","Not used",1,"int(((5*x + x^2 + 2)*(4*x - 7*x^2 + 1))/(2*x + 5*x^2 + 3)^(1/2), x)","F"
389,0,-1,164,0.000000,"\text{Not used}","int((5*x + x^2 + 2)/((2*x + 5*x^2 + 3)^(1/2)*(4*x - 7*x^2 + 1)),x)","\int \frac{x^2+5\,x+2}{\sqrt{5\,x^2+2\,x+3}\,\left(-7\,x^2+4\,x+1\right)} \,d x","Not used",1,"int((5*x + x^2 + 2)/((2*x + 5*x^2 + 3)^(1/2)*(4*x - 7*x^2 + 1)), x)","F"
390,0,-1,178,0.000000,"\text{Not used}","int((5*x + x^2 + 2)/((2*x + 5*x^2 + 3)^(1/2)*(4*x - 7*x^2 + 1)^2),x)","\int \frac{x^2+5\,x+2}{\sqrt{5\,x^2+2\,x+3}\,{\left(-7\,x^2+4\,x+1\right)}^2} \,d x","Not used",1,"int((5*x + x^2 + 2)/((2*x + 5*x^2 + 3)^(1/2)*(4*x - 7*x^2 + 1)^2), x)","F"
391,0,-1,227,0.000000,"\text{Not used}","int((5*x + x^2 + 2)/((2*x + 5*x^2 + 3)^(1/2)*(4*x - 7*x^2 + 1)^3),x)","\int \frac{x^2+5\,x+2}{\sqrt{5\,x^2+2\,x+3}\,{\left(-7\,x^2+4\,x+1\right)}^3} \,d x","Not used",1,"int((5*x + x^2 + 2)/((2*x + 5*x^2 + 3)^(1/2)*(4*x - 7*x^2 + 1)^3), x)","F"
392,0,-1,166,0.000000,"\text{Not used}","int(((5*x + x^2 + 2)*(4*x - 7*x^2 + 1)^3)/(2*x + 5*x^2 + 3)^(3/2),x)","\int \frac{\left(x^2+5\,x+2\right)\,{\left(-7\,x^2+4\,x+1\right)}^3}{{\left(5\,x^2+2\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((5*x + x^2 + 2)*(4*x - 7*x^2 + 1)^3)/(2*x + 5*x^2 + 3)^(3/2), x)","F"
393,0,-1,124,0.000000,"\text{Not used}","int(((5*x + x^2 + 2)*(4*x - 7*x^2 + 1)^2)/(2*x + 5*x^2 + 3)^(3/2),x)","\int \frac{\left(x^2+5\,x+2\right)\,{\left(-7\,x^2+4\,x+1\right)}^2}{{\left(5\,x^2+2\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((5*x + x^2 + 2)*(4*x - 7*x^2 + 1)^2)/(2*x + 5*x^2 + 3)^(3/2), x)","F"
394,0,-1,82,0.000000,"\text{Not used}","int(((5*x + x^2 + 2)*(4*x - 7*x^2 + 1))/(2*x + 5*x^2 + 3)^(3/2),x)","\int \frac{\left(x^2+5\,x+2\right)\,\left(-7\,x^2+4\,x+1\right)}{{\left(5\,x^2+2\,x+3\right)}^{3/2}} \,d x","Not used",1,"int(((5*x + x^2 + 2)*(4*x - 7*x^2 + 1))/(2*x + 5*x^2 + 3)^(3/2), x)","F"
395,0,-1,166,0.000000,"\text{Not used}","int((5*x + x^2 + 2)/((2*x + 5*x^2 + 3)^(3/2)*(4*x - 7*x^2 + 1)),x)","\int \frac{x^2+5\,x+2}{{\left(5\,x^2+2\,x+3\right)}^{3/2}\,\left(-7\,x^2+4\,x+1\right)} \,d x","Not used",1,"int((5*x + x^2 + 2)/((2*x + 5*x^2 + 3)^(3/2)*(4*x - 7*x^2 + 1)), x)","F"
396,0,-1,215,0.000000,"\text{Not used}","int((5*x + x^2 + 2)/((2*x + 5*x^2 + 3)^(3/2)*(4*x - 7*x^2 + 1)^2),x)","\int \frac{x^2+5\,x+2}{{\left(5\,x^2+2\,x+3\right)}^{3/2}\,{\left(-7\,x^2+4\,x+1\right)}^2} \,d x","Not used",1,"int((5*x + x^2 + 2)/((2*x + 5*x^2 + 3)^(3/2)*(4*x - 7*x^2 + 1)^2), x)","F"
397,0,-1,250,0.000000,"\text{Not used}","int((5*x + x^2 + 2)/((2*x + 5*x^2 + 3)^(3/2)*(4*x - 7*x^2 + 1)^3),x)","\int \frac{x^2+5\,x+2}{{\left(5\,x^2+2\,x+3\right)}^{3/2}\,{\left(-7\,x^2+4\,x+1\right)}^3} \,d x","Not used",1,"int((5*x + x^2 + 2)/((2*x + 5*x^2 + 3)^(3/2)*(4*x - 7*x^2 + 1)^3), x)","F"
398,0,-1,166,0.000000,"\text{Not used}","int((A + C*x^2)*(a + c*x^2)^p*(d + f*x^2)^q,x)","\int \left(C\,x^2+A\right)\,{\left(c\,x^2+a\right)}^p\,{\left(f\,x^2+d\right)}^q \,d x","Not used",1,"int((A + C*x^2)*(a + c*x^2)^p*(d + f*x^2)^q, x)","F"
399,0,-1,167,0.000000,"\text{Not used}","int((a + c*x^2)^p*(d + f*x^2)^q*(A + B*x),x)","\int {\left(c\,x^2+a\right)}^p\,{\left(f\,x^2+d\right)}^q\,\left(A+B\,x\right) \,d x","Not used",1,"int((a + c*x^2)^p*(d + f*x^2)^q*(A + B*x), x)","F"
400,0,-1,252,0.000000,"\text{Not used}","int((a + c*x^2)^p*(d + f*x^2)^q*(A + B*x + C*x^2),x)","\int {\left(c\,x^2+a\right)}^p\,{\left(f\,x^2+d\right)}^q\,\left(C\,x^2+B\,x+A\right) \,d x","Not used",1,"int((a + c*x^2)^p*(d + f*x^2)^q*(A + B*x + C*x^2), x)","F"