1,1,272,149,1.695848,"\text{Not used}","int((a + b*atanh(c*x))*(d + e*x)^4,x)","\frac{a\,e^4\,x^5}{5}+a\,d^4\,x+\frac{b\,d^4\,\ln\left(c^2\,x^2-1\right)}{2\,c}+\frac{b\,e^4\,\ln\left(c^2\,x^2-1\right)}{10\,c^5}+2\,a\,d^2\,e^2\,x^3+\frac{b\,e^4\,x^4}{20\,c}+\frac{b\,e^4\,x^2}{10\,c^3}+b\,d^4\,x\,\mathrm{atanh}\left(c\,x\right)+2\,a\,d^3\,e\,x^2+a\,d\,e^3\,x^4+\frac{b\,e^4\,x^5\,\mathrm{atanh}\left(c\,x\right)}{5}+\frac{2\,b\,d^3\,e\,x}{c}+\frac{b\,d\,e^3\,x}{c^3}-\frac{2\,b\,d^3\,e\,\mathrm{atanh}\left(c\,x\right)}{c^2}-\frac{b\,d\,e^3\,\mathrm{atanh}\left(c\,x\right)}{c^4}+2\,b\,d^3\,e\,x^2\,\mathrm{atanh}\left(c\,x\right)+b\,d\,e^3\,x^4\,\mathrm{atanh}\left(c\,x\right)+\frac{b\,d\,e^3\,x^3}{3\,c}+2\,b\,d^2\,e^2\,x^3\,\mathrm{atanh}\left(c\,x\right)+\frac{b\,d^2\,e^2\,\ln\left(c^2\,x^2-1\right)}{c^3}+\frac{b\,d^2\,e^2\,x^2}{c}","Not used",1,"(a*e^4*x^5)/5 + a*d^4*x + (b*d^4*log(c^2*x^2 - 1))/(2*c) + (b*e^4*log(c^2*x^2 - 1))/(10*c^5) + 2*a*d^2*e^2*x^3 + (b*e^4*x^4)/(20*c) + (b*e^4*x^2)/(10*c^3) + b*d^4*x*atanh(c*x) + 2*a*d^3*e*x^2 + a*d*e^3*x^4 + (b*e^4*x^5*atanh(c*x))/5 + (2*b*d^3*e*x)/c + (b*d*e^3*x)/c^3 - (2*b*d^3*e*atanh(c*x))/c^2 - (b*d*e^3*atanh(c*x))/c^4 + 2*b*d^3*e*x^2*atanh(c*x) + b*d*e^3*x^4*atanh(c*x) + (b*d*e^3*x^3)/(3*c) + 2*b*d^2*e^2*x^3*atanh(c*x) + (b*d^2*e^2*log(c^2*x^2 - 1))/c^3 + (b*d^2*e^2*x^2)/c","B"
2,1,197,125,1.149703,"\text{Not used}","int((a + b*atanh(c*x))*(d + e*x)^3,x)","\frac{a\,e^3\,x^4}{4}+a\,d^3\,x+\frac{b\,d^3\,\ln\left(c^2\,x^2-1\right)}{2\,c}+\frac{b\,e^3\,x^3}{12\,c}+b\,d^3\,x\,\mathrm{atanh}\left(c\,x\right)+\frac{3\,a\,d^2\,e\,x^2}{2}+a\,d\,e^2\,x^3+\frac{b\,e^3\,x}{4\,c^3}-\frac{b\,e^3\,\mathrm{atanh}\left(c\,x\right)}{4\,c^4}+\frac{b\,e^3\,x^4\,\mathrm{atanh}\left(c\,x\right)}{4}+\frac{3\,b\,d^2\,e\,x}{2\,c}-\frac{3\,b\,d^2\,e\,\mathrm{atanh}\left(c\,x\right)}{2\,c^2}+\frac{3\,b\,d^2\,e\,x^2\,\mathrm{atanh}\left(c\,x\right)}{2}+b\,d\,e^2\,x^3\,\mathrm{atanh}\left(c\,x\right)+\frac{b\,d\,e^2\,\ln\left(c^2\,x^2-1\right)}{2\,c^3}+\frac{b\,d\,e^2\,x^2}{2\,c}","Not used",1,"(a*e^3*x^4)/4 + a*d^3*x + (b*d^3*log(c^2*x^2 - 1))/(2*c) + (b*e^3*x^3)/(12*c) + b*d^3*x*atanh(c*x) + (3*a*d^2*e*x^2)/2 + a*d*e^2*x^3 + (b*e^3*x)/(4*c^3) - (b*e^3*atanh(c*x))/(4*c^4) + (b*e^3*x^4*atanh(c*x))/4 + (3*b*d^2*e*x)/(2*c) - (3*b*d^2*e*atanh(c*x))/(2*c^2) + (3*b*d^2*e*x^2*atanh(c*x))/2 + b*d*e^2*x^3*atanh(c*x) + (b*d*e^2*log(c^2*x^2 - 1))/(2*c^3) + (b*d*e^2*x^2)/(2*c)","B"
3,1,127,96,0.941175,"\text{Not used}","int((a + b*atanh(c*x))*(d + e*x)^2,x)","\frac{a\,e^2\,x^3}{3}+a\,d^2\,x+\frac{b\,d^2\,\ln\left(c^2\,x^2-1\right)}{2\,c}+\frac{b\,e^2\,\ln\left(c^2\,x^2-1\right)}{6\,c^3}+\frac{b\,e^2\,x^2}{6\,c}+a\,d\,e\,x^2+b\,d^2\,x\,\mathrm{atanh}\left(c\,x\right)+\frac{b\,e^2\,x^3\,\mathrm{atanh}\left(c\,x\right)}{3}+\frac{b\,d\,e\,x}{c}-\frac{b\,d\,e\,\mathrm{atanh}\left(c\,x\right)}{c^2}+b\,d\,e\,x^2\,\mathrm{atanh}\left(c\,x\right)","Not used",1,"(a*e^2*x^3)/3 + a*d^2*x + (b*d^2*log(c^2*x^2 - 1))/(2*c) + (b*e^2*log(c^2*x^2 - 1))/(6*c^3) + (b*e^2*x^2)/(6*c) + a*d*e*x^2 + b*d^2*x*atanh(c*x) + (b*e^2*x^3*atanh(c*x))/3 + (b*d*e*x)/c - (b*d*e*atanh(c*x))/c^2 + b*d*e*x^2*atanh(c*x)","B"
4,1,67,84,0.827025,"\text{Not used}","int((a + b*atanh(c*x))*(d + e*x),x)","a\,d\,x+\frac{a\,e\,x^2}{2}+b\,d\,x\,\mathrm{atanh}\left(c\,x\right)+\frac{b\,e\,x}{2\,c}-\frac{b\,e\,\mathrm{atanh}\left(c\,x\right)}{2\,c^2}+\frac{b\,e\,x^2\,\mathrm{atanh}\left(c\,x\right)}{2}+\frac{b\,d\,\ln\left(c^2\,x^2-1\right)}{2\,c}","Not used",1,"a*d*x + (a*e*x^2)/2 + b*d*x*atanh(c*x) + (b*e*x)/(2*c) - (b*e*atanh(c*x))/(2*c^2) + (b*e*x^2*atanh(c*x))/2 + (b*d*log(c^2*x^2 - 1))/(2*c)","B"
5,0,-1,114,0.000000,"\text{Not used}","int((a + b*atanh(c*x))/(d + e*x),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x\right)}{d+e\,x} \,d x","Not used",1,"int((a + b*atanh(c*x))/(d + e*x), x)","F"
6,1,115,93,3.595786,"\text{Not used}","int((a + b*atanh(c*x))/(d + e*x)^2,x)","-\frac{d^2\,\left(\frac{b\,c\,\ln\left(c^2\,x^2-1\right)}{2}-b\,c\,\ln\left(d+e\,x\right)+a\,c^2\,x+b\,c^2\,x\,\mathrm{atanh}\left(c\,x\right)\right)+d\,e\,\left(b\,\mathrm{atanh}\left(c\,x\right)-b\,c\,x\,\ln\left(d+e\,x\right)+\frac{b\,c\,x\,\ln\left(c^2\,x^2-1\right)}{2}\right)-a\,e^2\,x}{d\,\left(e^2-c^2\,d^2\right)\,\left(d+e\,x\right)}","Not used",1,"-(d^2*((b*c*log(c^2*x^2 - 1))/2 - b*c*log(d + e*x) + a*c^2*x + b*c^2*x*atanh(c*x)) + d*e*(b*atanh(c*x) - b*c*x*log(d + e*x) + (b*c*x*log(c^2*x^2 - 1))/2) - a*e^2*x)/(d*(e^2 - c^2*d^2)*(d + e*x))","B"
7,1,427,130,3.998208,"\text{Not used}","int((a + b*atanh(c*x))/(d + e*x)^3,x)","\frac{b\,c^3\,d\,\ln\left(c^2\,x^2-1\right)}{2\,\left(c^4\,d^4-2\,c^2\,d^2\,e^2+e^4\right)}-\frac{\mathrm{atan}\left(\frac{c^2\,x}{\sqrt{-c^2}}\right)\,\left(b\,c^5\,d^2+b\,c^3\,e^2\right)}{2\,e^5\,\sqrt{-c^2}-c^2\,\left(2\,d^4\,e\,{\left(-c^2\right)}^{3/2}+4\,d^2\,e^3\,\sqrt{-c^2}\right)}-\frac{b\,c^3\,d\,\ln\left(d+e\,x\right)}{c^4\,d^4-2\,c^2\,d^2\,e^2+e^4}-\frac{\frac{b\,\mathrm{atanh}\left(c\,x\right)}{2\,e}-\frac{x\,\left(-a\,c^2\,d^2+\frac{b\,c\,d\,e}{2}+a\,e^2\right)}{d\,\left(e^2-c^2\,d^2\right)}-\frac{x^2\,\left(-\frac{a\,c^2\,d^2\,e}{2}+\frac{b\,c\,d\,e^2}{2}+\frac{a\,e^3}{2}\right)}{d^2\,\left(e^2-c^2\,d^2\right)}+\frac{x^4\,\left(-\frac{a\,c^4\,d^2\,e}{2}+\frac{b\,c^3\,d\,e^2}{2}+\frac{a\,c^2\,e^3}{2}\right)}{d^2\,\left(e^2-c^2\,d^2\right)}+\frac{x^3\,\left(-a\,c^4\,d^2+\frac{b\,c^3\,d\,e}{2}+a\,c^2\,e^2\right)}{d\,\left(e^2-c^2\,d^2\right)}-\frac{b\,c^2\,x^2\,\mathrm{atanh}\left(c\,x\right)}{2\,e}}{-c^2\,d^2\,x^2-2\,c^2\,d\,e\,x^3-c^2\,e^2\,x^4+d^2+2\,d\,e\,x+e^2\,x^2}","Not used",1,"(b*c^3*d*log(c^2*x^2 - 1))/(2*(e^4 + c^4*d^4 - 2*c^2*d^2*e^2)) - (atan((c^2*x)/(-c^2)^(1/2))*(b*c^5*d^2 + b*c^3*e^2))/(2*e^5*(-c^2)^(1/2) - c^2*(2*d^4*e*(-c^2)^(3/2) + 4*d^2*e^3*(-c^2)^(1/2))) - (b*c^3*d*log(d + e*x))/(e^4 + c^4*d^4 - 2*c^2*d^2*e^2) - ((b*atanh(c*x))/(2*e) - (x*(a*e^2 - a*c^2*d^2 + (b*c*d*e)/2))/(d*(e^2 - c^2*d^2)) - (x^2*((a*e^3)/2 + (b*c*d*e^2)/2 - (a*c^2*d^2*e)/2))/(d^2*(e^2 - c^2*d^2)) + (x^4*((a*c^2*e^3)/2 - (a*c^4*d^2*e)/2 + (b*c^3*d*e^2)/2))/(d^2*(e^2 - c^2*d^2)) + (x^3*(a*c^2*e^2 - a*c^4*d^2 + (b*c^3*d*e)/2))/(d*(e^2 - c^2*d^2)) - (b*c^2*x^2*atanh(c*x))/(2*e))/(d^2 + e^2*x^2 + 2*d*e*x - c^2*d^2*x^2 - c^2*e^2*x^4 - 2*c^2*d*e*x^3)","B"
8,1,418,175,2.294836,"\text{Not used}","int((a + b*atanh(c*x))/(d + e*x)^4,x)","\ln\left(d+e\,x\right)\,\left(\frac{b\,c^3}{6\,e\,{\left(e+c\,d\right)}^3}+\frac{b\,c^3}{6\,e\,{\left(e-c\,d\right)}^3}\right)-\frac{\frac{2\,a\,c^4\,d^4-5\,b\,c^3\,d^3\,e-4\,a\,c^2\,d^2\,e^2+b\,c\,d\,e^3+2\,a\,e^4}{2\,\left(c^4\,d^4-2\,c^2\,d^2\,e^2+e^4\right)}+\frac{x\,\left(b\,c\,e^4-9\,b\,c^3\,d^2\,e^2\right)}{2\,\left(c^4\,d^4-2\,c^2\,d^2\,e^2+e^4\right)}-\frac{2\,b\,c^3\,d\,e^3\,x^2}{c^4\,d^4-2\,c^2\,d^2\,e^2+e^4}}{3\,d^3\,e+9\,d^2\,e^2\,x+9\,d\,e^3\,x^2+3\,e^4\,x^3}-\frac{b\,c^3\,\ln\left(c\,x-1\right)}{6\,c^3\,d^3\,e+18\,c^2\,d^2\,e^2+18\,c\,d\,e^3+6\,e^4}-\frac{b\,c^3\,\ln\left(c\,x+1\right)}{-6\,c^3\,d^3\,e+18\,c^2\,d^2\,e^2-18\,c\,d\,e^3+6\,e^4}-\frac{b\,\ln\left(c\,x+1\right)}{6\,e\,\left(d^3+3\,d^2\,e\,x+3\,d\,e^2\,x^2+e^3\,x^3\right)}+\frac{b\,\ln\left(1-c\,x\right)}{3\,e\,\left(2\,d^3+6\,d^2\,e\,x+6\,d\,e^2\,x^2+2\,e^3\,x^3\right)}","Not used",1,"log(d + e*x)*((b*c^3)/(6*e*(e + c*d)^3) + (b*c^3)/(6*e*(e - c*d)^3)) - ((2*a*e^4 + 2*a*c^4*d^4 - 4*a*c^2*d^2*e^2 + b*c*d*e^3 - 5*b*c^3*d^3*e)/(2*(e^4 + c^4*d^4 - 2*c^2*d^2*e^2)) + (x*(b*c*e^4 - 9*b*c^3*d^2*e^2))/(2*(e^4 + c^4*d^4 - 2*c^2*d^2*e^2)) - (2*b*c^3*d*e^3*x^2)/(e^4 + c^4*d^4 - 2*c^2*d^2*e^2))/(3*d^3*e + 3*e^4*x^3 + 9*d^2*e^2*x + 9*d*e^3*x^2) - (b*c^3*log(c*x - 1))/(6*e^4 + 6*c^3*d^3*e + 18*c^2*d^2*e^2 + 18*c*d*e^3) - (b*c^3*log(c*x + 1))/(6*e^4 - 6*c^3*d^3*e + 18*c^2*d^2*e^2 - 18*c*d*e^3) - (b*log(c*x + 1))/(6*e*(d^3 + e^3*x^3 + 3*d*e^2*x^2 + 3*d^2*e*x)) + (b*log(1 - c*x))/(3*e*(2*d^3 + 2*e^3*x^3 + 6*d*e^2*x^2 + 6*d^2*e*x))","B"
9,0,-1,359,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^2*(d + e*x)^3,x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^2\,{\left(d+e\,x\right)}^3 \,d x","Not used",1,"int((a + b*atanh(c*x))^2*(d + e*x)^3, x)","F"
10,0,-1,257,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^2*(d + e*x)^2,x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^2\,{\left(d+e\,x\right)}^2 \,d x","Not used",1,"int((a + b*atanh(c*x))^2*(d + e*x)^2, x)","F"
11,0,-1,160,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^2*(d + e*x),x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^2\,\left(d+e\,x\right) \,d x","Not used",1,"int((a + b*atanh(c*x))^2*(d + e*x), x)","F"
12,0,-1,188,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^2/(d + e*x),x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^2}{d+e\,x} \,d x","Not used",1,"int((a + b*atanh(c*x))^2/(d + e*x), x)","F"
13,0,-1,321,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^2/(d + e*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^2}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int((a + b*atanh(c*x))^2/(d + e*x)^2, x)","F"
14,0,-1,480,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^2/(d + e*x)^3,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^2}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int((a + b*atanh(c*x))^2/(d + e*x)^3, x)","F"
15,0,-1,614,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^3*(d + e*x)^3,x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3\,{\left(d+e\,x\right)}^3 \,d x","Not used",1,"int((a + b*atanh(c*x))^3*(d + e*x)^3, x)","F"
16,0,-1,387,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^3*(d + e*x)^2,x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3\,{\left(d+e\,x\right)}^2 \,d x","Not used",1,"int((a + b*atanh(c*x))^3*(d + e*x)^2, x)","F"
17,0,-1,244,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^3*(d + e*x),x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3\,\left(d+e\,x\right) \,d x","Not used",1,"int((a + b*atanh(c*x))^3*(d + e*x), x)","F"
18,0,-1,272,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^3/(d + e*x),x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3}{d+e\,x} \,d x","Not used",1,"int((a + b*atanh(c*x))^3/(d + e*x), x)","F"
19,0,-1,517,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^3/(d + e*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3}{{\left(d+e\,x\right)}^2} \,d x","Not used",1,"int((a + b*atanh(c*x))^3/(d + e*x)^2, x)","F"
20,0,-1,953,0.000000,"\text{Not used}","int((a + b*atanh(c*x))^3/(d + e*x)^3,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x\right)\right)}^3}{{\left(d+e\,x\right)}^3} \,d x","Not used",1,"int((a + b*atanh(c*x))^3/(d + e*x)^3, x)","F"
21,0,-1,67,0.000000,"\text{Not used}","int((a + b*atanh(c*x))/(2*c*x + 1),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x\right)}{2\,c\,x+1} \,d x","Not used",1,"int((a + b*atanh(c*x))/(2*c*x + 1), x)","F"
22,0,-1,88,0.000000,"\text{Not used}","int(-atanh(x)/(2^(1/2)*x - 1),x)","-\int \frac{\mathrm{atanh}\left(x\right)}{\sqrt{2}\,x-1} \,d x","Not used",1,"-int(atanh(x)/(2^(1/2)*x - 1), x)","F"
23,1,823,182,2.044917,"\text{Not used}","int((a + b*atanh(c*x^2))*(d + e*x)^3,x)","\ln\left(c\,x^2+1\right)\,\left(\frac{b\,d^3\,x}{2}+\frac{3\,b\,d^2\,e\,x^2}{4}+\frac{b\,d\,e^2\,x^3}{2}+\frac{b\,e^3\,x^4}{8}\right)-\ln\left(1-c\,x^2\right)\,\left(\frac{b\,d^3\,x}{2}+\frac{3\,b\,d^2\,e\,x^2}{4}+\frac{b\,d\,e^2\,x^3}{2}+\frac{b\,e^3\,x^4}{8}\right)+\frac{a\,e^3\,x^4}{4}-\frac{\ln\left(8\,c^5\,d^6-c^2\,e^6-4\,d\,e^5\,\sqrt{-c^5}+e^6\,x\,\sqrt{-c^5}+8\,c^3\,d^2\,e^4+4\,c^4\,d^3\,e^3\,x-4\,c^3\,d\,e^5\,x+4\,c\,d^3\,e^3\,\sqrt{-c^5}-8\,c^3\,d^6\,x\,\sqrt{-c^5}-8\,c\,d^2\,e^4\,x\,\sqrt{-c^5}\right)\,\left(b\,c^2\,e^3-4\,b\,c\,d^3\,\sqrt{-c^5}+4\,b\,d\,e^2\,\sqrt{-c^5}-6\,b\,c^3\,d^2\,e\right)}{8\,c^4}-\frac{\ln\left(8\,c^5\,d^6-c^2\,e^6+4\,d\,e^5\,\sqrt{-c^5}-e^6\,x\,\sqrt{-c^5}+8\,c^3\,d^2\,e^4+4\,c^4\,d^3\,e^3\,x-4\,c^3\,d\,e^5\,x-4\,c\,d^3\,e^3\,\sqrt{-c^5}+8\,c^3\,d^6\,x\,\sqrt{-c^5}+8\,c\,d^2\,e^4\,x\,\sqrt{-c^5}\right)\,\left(b\,c^2\,e^3+4\,b\,c\,d^3\,\sqrt{-c^5}-4\,b\,d\,e^2\,\sqrt{-c^5}-6\,b\,c^3\,d^2\,e\right)}{8\,c^4}+\frac{x\,\left(2\,a\,c^2\,d^3+4\,b\,c\,d\,e^2\right)}{2\,c^2}+\frac{\ln\left(64\,c^2\,d^{12}\,{\left(c^5\right)}^{7/2}+128\,d^8\,e^4\,{\left(c^5\right)}^{7/2}-64\,c^{20}\,d^{12}\,x-c^{14}\,e^{12}\,x+c\,e^{12}\,{\left(c^5\right)}^{5/2}-32\,c^{16}\,d^4\,e^8\,x-128\,c^{18}\,d^8\,e^4\,x+32\,c^3\,d^4\,e^8\,{\left(c^5\right)}^{5/2}\right)\,\left(b\,c^2\,e^3+4\,b\,c\,d^3\,\sqrt{c^5}+4\,b\,d\,e^2\,\sqrt{c^5}+6\,b\,c^3\,d^2\,e\right)}{8\,c^4}+\frac{\ln\left(8\,c^{10}\,d^6+c^7\,e^6+8\,c^8\,d^2\,e^4-4\,d\,e^5\,{\left(c^5\right)}^{3/2}+e^6\,x\,{\left(c^5\right)}^{3/2}-4\,c^9\,d^3\,e^3\,x-4\,c\,d^3\,e^3\,{\left(c^5\right)}^{3/2}+8\,c^3\,d^6\,x\,{\left(c^5\right)}^{3/2}-4\,c^8\,d\,e^5\,x+8\,c\,d^2\,e^4\,x\,{\left(c^5\right)}^{3/2}\right)\,\left(b\,c^2\,e^3-4\,b\,c\,d^3\,\sqrt{c^5}-4\,b\,d\,e^2\,\sqrt{c^5}+6\,b\,c^3\,d^2\,e\right)}{8\,c^4}+\frac{x^2\,\left(6\,a\,c^2\,d^2\,e+b\,c\,e^3\right)}{4\,c^2}+a\,d\,e^2\,x^3","Not used",1,"log(c*x^2 + 1)*((b*e^3*x^4)/8 + (b*d^3*x)/2 + (3*b*d^2*e*x^2)/4 + (b*d*e^2*x^3)/2) - log(1 - c*x^2)*((b*e^3*x^4)/8 + (b*d^3*x)/2 + (3*b*d^2*e*x^2)/4 + (b*d*e^2*x^3)/2) + (a*e^3*x^4)/4 - (log(8*c^5*d^6 - c^2*e^6 - 4*d*e^5*(-c^5)^(1/2) + e^6*x*(-c^5)^(1/2) + 8*c^3*d^2*e^4 + 4*c^4*d^3*e^3*x - 4*c^3*d*e^5*x + 4*c*d^3*e^3*(-c^5)^(1/2) - 8*c^3*d^6*x*(-c^5)^(1/2) - 8*c*d^2*e^4*x*(-c^5)^(1/2))*(b*c^2*e^3 - 4*b*c*d^3*(-c^5)^(1/2) + 4*b*d*e^2*(-c^5)^(1/2) - 6*b*c^3*d^2*e))/(8*c^4) - (log(8*c^5*d^6 - c^2*e^6 + 4*d*e^5*(-c^5)^(1/2) - e^6*x*(-c^5)^(1/2) + 8*c^3*d^2*e^4 + 4*c^4*d^3*e^3*x - 4*c^3*d*e^5*x - 4*c*d^3*e^3*(-c^5)^(1/2) + 8*c^3*d^6*x*(-c^5)^(1/2) + 8*c*d^2*e^4*x*(-c^5)^(1/2))*(b*c^2*e^3 + 4*b*c*d^3*(-c^5)^(1/2) - 4*b*d*e^2*(-c^5)^(1/2) - 6*b*c^3*d^2*e))/(8*c^4) + (x*(2*a*c^2*d^3 + 4*b*c*d*e^2))/(2*c^2) + (log(64*c^2*d^12*(c^5)^(7/2) + 128*d^8*e^4*(c^5)^(7/2) - 64*c^20*d^12*x - c^14*e^12*x + c*e^12*(c^5)^(5/2) - 32*c^16*d^4*e^8*x - 128*c^18*d^8*e^4*x + 32*c^3*d^4*e^8*(c^5)^(5/2))*(b*c^2*e^3 + 4*b*c*d^3*(c^5)^(1/2) + 4*b*d*e^2*(c^5)^(1/2) + 6*b*c^3*d^2*e))/(8*c^4) + (log(8*c^10*d^6 + c^7*e^6 + 8*c^8*d^2*e^4 - 4*d*e^5*(c^5)^(3/2) + e^6*x*(c^5)^(3/2) - 4*c^9*d^3*e^3*x - 4*c*d^3*e^3*(c^5)^(3/2) + 8*c^3*d^6*x*(c^5)^(3/2) - 4*c^8*d*e^5*x + 8*c*d^2*e^4*x*(c^5)^(3/2))*(b*c^2*e^3 - 4*b*c*d^3*(c^5)^(1/2) - 4*b*d*e^2*(c^5)^(1/2) + 6*b*c^3*d^2*e))/(8*c^4) + (x^2*(b*c*e^3 + 6*a*c^2*d^2*e))/(4*c^2) + a*d*e^2*x^3","B"
24,1,309,158,1.385316,"\text{Not used}","int((a + b*atanh(c*x^2))*(d + e*x)^2,x)","\ln\left(c\,x^2+1\right)\,\left(\frac{b\,d^2\,x}{2}+\frac{b\,d\,e\,x^2}{2}+\frac{b\,e^2\,x^3}{6}\right)-\ln\left(1-c\,x^2\right)\,\left(\frac{b\,d^2\,x}{2}+\frac{b\,d\,e\,x^2}{2}+\frac{b\,e^2\,x^3}{6}\right)+\frac{x\,\left(3\,a\,c^2\,d^2+2\,b\,c\,e^2\right)}{3\,c^2}+\frac{a\,e^2\,x^3}{3}-\frac{\ln\left(c+x\,\sqrt{c^3}\right)\,\left(b\,e^2\,\sqrt{c^3}+3\,b\,c\,d^2\,\sqrt{c^3}-3\,b\,c^2\,d\,e\right)}{6\,c^3}+\frac{\ln\left(c-x\,\sqrt{c^3}\right)\,\left(b\,e^2\,\sqrt{c^3}+3\,b\,c\,d^2\,\sqrt{c^3}+3\,b\,c^2\,d\,e\right)}{6\,c^3}+\frac{\ln\left(c+x\,\sqrt{-c^3}\right)\,\left(b\,e^2\,\sqrt{-c^3}+3\,b\,c^2\,d\,e-3\,b\,c\,d^2\,\sqrt{-c^3}\right)}{6\,c^3}+\frac{\ln\left(c-x\,\sqrt{-c^3}\right)\,\left(3\,b\,c^2\,d\,e-b\,e^2\,\sqrt{-c^3}+3\,b\,c\,d^2\,\sqrt{-c^3}\right)}{6\,c^3}+a\,d\,e\,x^2","Not used",1,"log(c*x^2 + 1)*((b*e^2*x^3)/6 + (b*d^2*x)/2 + (b*d*e*x^2)/2) - log(1 - c*x^2)*((b*e^2*x^3)/6 + (b*d^2*x)/2 + (b*d*e*x^2)/2) + (x*(3*a*c^2*d^2 + 2*b*c*e^2))/(3*c^2) + (a*e^2*x^3)/3 - (log(c + x*(c^3)^(1/2))*(b*e^2*(c^3)^(1/2) + 3*b*c*d^2*(c^3)^(1/2) - 3*b*c^2*d*e))/(6*c^3) + (log(c - x*(c^3)^(1/2))*(b*e^2*(c^3)^(1/2) + 3*b*c*d^2*(c^3)^(1/2) + 3*b*c^2*d*e))/(6*c^3) + (log(c + x*(-c^3)^(1/2))*(b*e^2*(-c^3)^(1/2) + 3*b*c^2*d*e - 3*b*c*d^2*(-c^3)^(1/2)))/(6*c^3) + (log(c - x*(-c^3)^(1/2))*(3*b*c^2*d*e - b*e^2*(-c^3)^(1/2) + 3*b*c*d^2*(-c^3)^(1/2)))/(6*c^3) + a*d*e*x^2","B"
25,1,242,117,1.310234,"\text{Not used}","int((a + b*atanh(c*x^2))*(d + e*x),x)","a\,d\,x+\frac{a\,e\,x^2}{2}+\frac{b\,d\,x\,\ln\left(c\,x^2+1\right)}{2}-\frac{b\,d\,x\,\ln\left(1-c\,x^2\right)}{2}+\frac{b\,e\,\ln\left(c+x\,\sqrt{c^3}\right)}{4\,c}+\frac{b\,e\,\ln\left(c-x\,\sqrt{c^3}\right)}{4\,c}+\frac{b\,e\,x^2\,\ln\left(c\,x^2+1\right)}{4}-\frac{b\,e\,x^2\,\ln\left(1-c\,x^2\right)}{4}+\frac{b\,e\,\ln\left(c+x\,\sqrt{-c^3}\right)}{4\,c}+\frac{b\,e\,\ln\left(c-x\,\sqrt{-c^3}\right)}{4\,c}-\frac{b\,d\,\ln\left(c+x\,\sqrt{c^3}\right)\,\sqrt{c^3}}{2\,c^2}+\frac{b\,d\,\ln\left(c-x\,\sqrt{c^3}\right)\,\sqrt{c^3}}{2\,c^2}-\frac{b\,d\,\ln\left(c+x\,\sqrt{-c^3}\right)\,\sqrt{-c^3}}{2\,c^2}+\frac{b\,d\,\ln\left(c-x\,\sqrt{-c^3}\right)\,\sqrt{-c^3}}{2\,c^2}","Not used",1,"a*d*x + (a*e*x^2)/2 + (b*d*x*log(c*x^2 + 1))/2 - (b*d*x*log(1 - c*x^2))/2 + (b*e*log(c + x*(c^3)^(1/2)))/(4*c) + (b*e*log(c - x*(c^3)^(1/2)))/(4*c) + (b*e*x^2*log(c*x^2 + 1))/4 - (b*e*x^2*log(1 - c*x^2))/4 + (b*e*log(c + x*(-c^3)^(1/2)))/(4*c) + (b*e*log(c - x*(-c^3)^(1/2)))/(4*c) - (b*d*log(c + x*(c^3)^(1/2))*(c^3)^(1/2))/(2*c^2) + (b*d*log(c - x*(c^3)^(1/2))*(c^3)^(1/2))/(2*c^2) - (b*d*log(c + x*(-c^3)^(1/2))*(-c^3)^(1/2))/(2*c^2) + (b*d*log(c - x*(-c^3)^(1/2))*(-c^3)^(1/2))/(2*c^2)","B"
26,0,-1,325,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))/(d + e*x),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x^2\right)}{d+e\,x} \,d x","Not used",1,"int((a + b*atanh(c*x^2))/(d + e*x), x)","F"
27,1,727,166,2.597789,"\text{Not used}","int((a + b*atanh(c*x^2))/(d + e*x)^2,x)","\frac{\ln\left(\frac{16\,b^4\,c^{10}\,x}{e}-\frac{\left(b\,\sqrt{-c}\,e+b\,c\,d\right)\,\left(8\,b^3\,c^9\,e-\frac{\left(b\,\sqrt{-c}\,e+b\,c\,d\right)\,\left(\frac{\left(b\,\sqrt{-c}\,e+b\,c\,d\right)\,\left(\frac{8\,x\,\left(4\,b\,c^{11}\,d^5\,e^2+52\,b\,c^9\,d\,e^6\right)}{e^2}-\frac{\left(b\,\sqrt{-c}\,e+b\,c\,d\right)\,\left(384\,c^8\,d\,e^6+\frac{8\,x\,\left(24\,c^{10}\,d^4\,e^5+40\,c^8\,e^9\right)}{e^2}+128\,c^{10}\,d^5\,e^2\right)}{2\,\left(c\,d^2\,e+e^3\right)}+320\,b\,c^9\,d^2\,e^3\right)}{2\,\left(c\,d^2\,e+e^3\right)}-64\,b^2\,c^{10}\,d^2\,e\,x\right)}{2\,\left(c\,d^2\,e+e^3\right)}+\frac{8\,b^3\,c^{11}\,d^3\,x}{e^2}\right)}{2\,\left(c\,d^2\,e+e^3\right)}\right)\,\left(b\,\sqrt{-c}\,e+b\,c\,d\right)}{2\,\left(c\,d^2\,e+e^3\right)}-\frac{a}{x\,e^2+d\,e}-\frac{\ln\left(\frac{\left(b\,\sqrt{-c}\,e-b\,c\,d\right)\,\left(8\,b^3\,c^9\,e-\frac{\left(b\,\sqrt{-c}\,e-b\,c\,d\right)\,\left(\frac{\left(b\,\sqrt{-c}\,e-b\,c\,d\right)\,\left(\frac{8\,x\,\left(4\,b\,c^{11}\,d^5\,e^2+52\,b\,c^9\,d\,e^6\right)}{e^2}+\frac{\left(b\,\sqrt{-c}\,e-b\,c\,d\right)\,\left(384\,c^8\,d\,e^6+\frac{8\,x\,\left(24\,c^{10}\,d^4\,e^5+40\,c^8\,e^9\right)}{e^2}+128\,c^{10}\,d^5\,e^2\right)}{2\,\left(c\,d^2\,e+e^3\right)}+320\,b\,c^9\,d^2\,e^3\right)}{2\,\left(c\,d^2\,e+e^3\right)}+64\,b^2\,c^{10}\,d^2\,e\,x\right)}{2\,\left(c\,d^2\,e+e^3\right)}+\frac{8\,b^3\,c^{11}\,d^3\,x}{e^2}\right)}{2\,\left(c\,d^2\,e+e^3\right)}+\frac{16\,b^4\,c^{10}\,x}{e}\right)\,\left(b\,\sqrt{-c}\,e-b\,c\,d\right)}{2\,\left(c\,d^2\,e+e^3\right)}-\frac{b\,\ln\left(c\,x^2+1\right)}{2\,e\,\left(d+e\,x\right)}-\frac{b\,\sqrt{c}\,\ln\left(\sqrt{c}\,x-1\right)}{2\,\left(e^2+\sqrt{c}\,d\,e\right)}+\frac{b\,\sqrt{c}\,\ln\left(\sqrt{c}\,x+1\right)}{2\,\left(e^2-\sqrt{c}\,d\,e\right)}+\frac{b\,\ln\left(1-c\,x^2\right)}{e\,\left(2\,d+2\,e\,x\right)}-\frac{2\,b\,c\,d\,e\,\ln\left(d+e\,x\right)}{e^4-c^2\,d^4}","Not used",1,"(log((16*b^4*c^10*x)/e - ((b*(-c)^(1/2)*e + b*c*d)*(8*b^3*c^9*e - ((b*(-c)^(1/2)*e + b*c*d)*(((b*(-c)^(1/2)*e + b*c*d)*((8*x*(4*b*c^11*d^5*e^2 + 52*b*c^9*d*e^6))/e^2 - ((b*(-c)^(1/2)*e + b*c*d)*(384*c^8*d*e^6 + (8*x*(40*c^8*e^9 + 24*c^10*d^4*e^5))/e^2 + 128*c^10*d^5*e^2))/(2*(e^3 + c*d^2*e)) + 320*b*c^9*d^2*e^3))/(2*(e^3 + c*d^2*e)) - 64*b^2*c^10*d^2*e*x))/(2*(e^3 + c*d^2*e)) + (8*b^3*c^11*d^3*x)/e^2))/(2*(e^3 + c*d^2*e)))*(b*(-c)^(1/2)*e + b*c*d))/(2*(e^3 + c*d^2*e)) - a/(d*e + e^2*x) - (log(((b*(-c)^(1/2)*e - b*c*d)*(8*b^3*c^9*e - ((b*(-c)^(1/2)*e - b*c*d)*(((b*(-c)^(1/2)*e - b*c*d)*((8*x*(4*b*c^11*d^5*e^2 + 52*b*c^9*d*e^6))/e^2 + ((b*(-c)^(1/2)*e - b*c*d)*(384*c^8*d*e^6 + (8*x*(40*c^8*e^9 + 24*c^10*d^4*e^5))/e^2 + 128*c^10*d^5*e^2))/(2*(e^3 + c*d^2*e)) + 320*b*c^9*d^2*e^3))/(2*(e^3 + c*d^2*e)) + 64*b^2*c^10*d^2*e*x))/(2*(e^3 + c*d^2*e)) + (8*b^3*c^11*d^3*x)/e^2))/(2*(e^3 + c*d^2*e)) + (16*b^4*c^10*x)/e)*(b*(-c)^(1/2)*e - b*c*d))/(2*(e^3 + c*d^2*e)) - (b*log(c*x^2 + 1))/(2*e*(d + e*x)) - (b*c^(1/2)*log(c^(1/2)*x - 1))/(2*(e^2 + c^(1/2)*d*e)) + (b*c^(1/2)*log(c^(1/2)*x + 1))/(2*(e^2 - c^(1/2)*d*e)) + (b*log(1 - c*x^2))/(e*(2*d + 2*e*x)) - (2*b*c*d*e*log(d + e*x))/(e^4 - c^2*d^4)","B"
28,1,2016,226,5.279687,"\text{Not used}","int((a + b*atanh(c*x^2))/(d + e*x)^3,x)","\frac{\frac{a\,c^2\,d^4+2\,b\,c\,d^2\,e^2-a\,e^4}{2\,\left(e^4-c^2\,d^4\right)}+\frac{b\,c\,d\,e^3\,x}{e^4-c^2\,d^4}}{d^2\,e+2\,d\,e^2\,x+e^3\,x^2}+\frac{\ln\left(c\,d^{28}\,{\left(-c^3\right)}^{13/2}+c^{21}\,d^{28}\,x+100\,c^7\,e^{28}\,x-100\,c^2\,e^{28}\,{\left(-c^3\right)}^{3/2}+496\,d^2\,e^{26}\,{\left(-c^3\right)}^{5/2}-7398\,d^8\,e^{20}\,{\left(-c^3\right)}^{7/2}+17176\,d^{14}\,e^{14}\,{\left(-c^3\right)}^{9/2}-2703\,d^{20}\,e^8\,{\left(-c^3\right)}^{11/2}-20\,d^{26}\,e^2\,{\left(-c^3\right)}^{13/2}+496\,c^8\,d^2\,e^{26}\,x+1473\,c^9\,d^4\,e^{24}\,x+3692\,c^{10}\,d^6\,e^{22}\,x+7398\,c^{11}\,d^8\,e^{20}\,x+11868\,c^{12}\,d^{10}\,e^{18}\,x+16015\,c^{13}\,d^{12}\,e^{16}\,x+17176\,c^{14}\,d^{14}\,e^{14}\,x+13192\,c^{15}\,d^{16}\,e^{12}\,x+6984\,c^{16}\,d^{18}\,e^{10}\,x+2703\,c^{17}\,d^{20}\,e^8\,x+764\,c^{18}\,d^{22}\,e^6\,x+78\,c^{19}\,d^{24}\,e^4\,x-20\,c^{20}\,d^{26}\,e^2\,x+3692\,c^2\,d^6\,e^{22}\,{\left(-c^3\right)}^{5/2}-16015\,c^2\,d^{12}\,e^{16}\,{\left(-c^3\right)}^{7/2}+6984\,c^2\,d^{18}\,e^{10}\,{\left(-c^3\right)}^{9/2}-78\,c^2\,d^{24}\,e^4\,{\left(-c^3\right)}^{11/2}+1473\,c\,d^4\,e^{24}\,{\left(-c^3\right)}^{5/2}-11868\,c\,d^{10}\,e^{18}\,{\left(-c^3\right)}^{7/2}+13192\,c\,d^{16}\,e^{12}\,{\left(-c^3\right)}^{9/2}-764\,c\,d^{22}\,e^6\,{\left(-c^3\right)}^{11/2}\right)\,\left(b\,c^2\,d^2-b\,c\,e^2+2\,b\,d\,e\,\sqrt{-c^3}\right)}{4\,\left(c^2\,d^4\,e+2\,c\,d^2\,e^3+e^5\right)}-\frac{\ln\left(c^{21}\,d^{28}\,x-c\,d^{28}\,{\left(-c^3\right)}^{13/2}+100\,c^7\,e^{28}\,x+100\,c^2\,e^{28}\,{\left(-c^3\right)}^{3/2}-496\,d^2\,e^{26}\,{\left(-c^3\right)}^{5/2}+7398\,d^8\,e^{20}\,{\left(-c^3\right)}^{7/2}-17176\,d^{14}\,e^{14}\,{\left(-c^3\right)}^{9/2}+2703\,d^{20}\,e^8\,{\left(-c^3\right)}^{11/2}+20\,d^{26}\,e^2\,{\left(-c^3\right)}^{13/2}+496\,c^8\,d^2\,e^{26}\,x+1473\,c^9\,d^4\,e^{24}\,x+3692\,c^{10}\,d^6\,e^{22}\,x+7398\,c^{11}\,d^8\,e^{20}\,x+11868\,c^{12}\,d^{10}\,e^{18}\,x+16015\,c^{13}\,d^{12}\,e^{16}\,x+17176\,c^{14}\,d^{14}\,e^{14}\,x+13192\,c^{15}\,d^{16}\,e^{12}\,x+6984\,c^{16}\,d^{18}\,e^{10}\,x+2703\,c^{17}\,d^{20}\,e^8\,x+764\,c^{18}\,d^{22}\,e^6\,x+78\,c^{19}\,d^{24}\,e^4\,x-20\,c^{20}\,d^{26}\,e^2\,x-3692\,c^2\,d^6\,e^{22}\,{\left(-c^3\right)}^{5/2}+16015\,c^2\,d^{12}\,e^{16}\,{\left(-c^3\right)}^{7/2}-6984\,c^2\,d^{18}\,e^{10}\,{\left(-c^3\right)}^{9/2}+78\,c^2\,d^{24}\,e^4\,{\left(-c^3\right)}^{11/2}-1473\,c\,d^4\,e^{24}\,{\left(-c^3\right)}^{5/2}+11868\,c\,d^{10}\,e^{18}\,{\left(-c^3\right)}^{7/2}-13192\,c\,d^{16}\,e^{12}\,{\left(-c^3\right)}^{9/2}+764\,c\,d^{22}\,e^6\,{\left(-c^3\right)}^{11/2}\right)\,\left(b\,c\,e^2-b\,c^2\,d^2+2\,b\,d\,e\,\sqrt{-c^3}\right)}{4\,\left(c^2\,d^4\,e+2\,c\,d^2\,e^3+e^5\right)}-\frac{\ln\left(100\,e^{28}\,{\left(c^3\right)}^{7/2}+c^2\,d^{28}\,{\left(c^3\right)}^{15/2}-3692\,d^6\,e^{22}\,{\left(c^3\right)}^{9/2}+16015\,d^{12}\,e^{16}\,{\left(c^3\right)}^{11/2}-6984\,d^{18}\,e^{10}\,{\left(c^3\right)}^{13/2}+78\,d^{24}\,e^4\,{\left(c^3\right)}^{15/2}+c^{25}\,d^{28}\,x+100\,c^{11}\,e^{28}\,x-496\,c^{12}\,d^2\,e^{26}\,x+1473\,c^{13}\,d^4\,e^{24}\,x-3692\,c^{14}\,d^6\,e^{22}\,x+7398\,c^{15}\,d^8\,e^{20}\,x-11868\,c^{16}\,d^{10}\,e^{18}\,x+16015\,c^{17}\,d^{12}\,e^{16}\,x-17176\,c^{18}\,d^{14}\,e^{14}\,x+13192\,c^{19}\,d^{16}\,e^{12}\,x-6984\,c^{20}\,d^{18}\,e^{10}\,x+2703\,c^{21}\,d^{20}\,e^8\,x-764\,c^{22}\,d^{22}\,e^6\,x+78\,c^{23}\,d^{24}\,e^4\,x+20\,c^{24}\,d^{26}\,e^2\,x-496\,c\,d^2\,e^{26}\,{\left(c^3\right)}^{7/2}+7398\,c\,d^8\,e^{20}\,{\left(c^3\right)}^{9/2}-17176\,c\,d^{14}\,e^{14}\,{\left(c^3\right)}^{11/2}+2703\,c\,d^{20}\,e^8\,{\left(c^3\right)}^{13/2}+20\,c\,d^{26}\,e^2\,{\left(c^3\right)}^{15/2}+1473\,c^2\,d^4\,e^{24}\,{\left(c^3\right)}^{7/2}-11868\,c^2\,d^{10}\,e^{18}\,{\left(c^3\right)}^{9/2}+13192\,c^2\,d^{16}\,e^{12}\,{\left(c^3\right)}^{11/2}-764\,c^2\,d^{22}\,e^6\,{\left(c^3\right)}^{13/2}\right)\,\left(b\,c^2\,d^2+b\,c\,e^2+2\,b\,d\,e\,\sqrt{c^3}\right)}{4\,\left(c^2\,d^4\,e-2\,c\,d^2\,e^3+e^5\right)}-\frac{\ln\left(100\,e^{28}\,{\left(c^3\right)}^{7/2}+c^2\,d^{28}\,{\left(c^3\right)}^{15/2}-3692\,d^6\,e^{22}\,{\left(c^3\right)}^{9/2}+16015\,d^{12}\,e^{16}\,{\left(c^3\right)}^{11/2}-6984\,d^{18}\,e^{10}\,{\left(c^3\right)}^{13/2}+78\,d^{24}\,e^4\,{\left(c^3\right)}^{15/2}-c^{25}\,d^{28}\,x-100\,c^{11}\,e^{28}\,x+496\,c^{12}\,d^2\,e^{26}\,x-1473\,c^{13}\,d^4\,e^{24}\,x+3692\,c^{14}\,d^6\,e^{22}\,x-7398\,c^{15}\,d^8\,e^{20}\,x+11868\,c^{16}\,d^{10}\,e^{18}\,x-16015\,c^{17}\,d^{12}\,e^{16}\,x+17176\,c^{18}\,d^{14}\,e^{14}\,x-13192\,c^{19}\,d^{16}\,e^{12}\,x+6984\,c^{20}\,d^{18}\,e^{10}\,x-2703\,c^{21}\,d^{20}\,e^8\,x+764\,c^{22}\,d^{22}\,e^6\,x-78\,c^{23}\,d^{24}\,e^4\,x-20\,c^{24}\,d^{26}\,e^2\,x-496\,c\,d^2\,e^{26}\,{\left(c^3\right)}^{7/2}+7398\,c\,d^8\,e^{20}\,{\left(c^3\right)}^{9/2}-17176\,c\,d^{14}\,e^{14}\,{\left(c^3\right)}^{11/2}+2703\,c\,d^{20}\,e^8\,{\left(c^3\right)}^{13/2}+20\,c\,d^{26}\,e^2\,{\left(c^3\right)}^{15/2}+1473\,c^2\,d^4\,e^{24}\,{\left(c^3\right)}^{7/2}-11868\,c^2\,d^{10}\,e^{18}\,{\left(c^3\right)}^{9/2}+13192\,c^2\,d^{16}\,e^{12}\,{\left(c^3\right)}^{11/2}-764\,c^2\,d^{22}\,e^6\,{\left(c^3\right)}^{13/2}\right)\,\left(b\,c^2\,d^2+b\,c\,e^2-2\,b\,d\,e\,\sqrt{c^3}\right)}{4\,\left(c^2\,d^4\,e-2\,c\,d^2\,e^3+e^5\right)}+\frac{\ln\left(d+e\,x\right)\,\left(3\,b\,c^3\,d^4\,e+b\,c\,e^5\right)}{c^4\,d^8-2\,c^2\,d^4\,e^4+e^8}-\frac{b\,\ln\left(c\,x^2+1\right)}{4\,e\,\left(d^2+2\,d\,e\,x+e^2\,x^2\right)}+\frac{b\,\ln\left(1-c\,x^2\right)}{2\,e\,\left(2\,d^2+4\,d\,e\,x+2\,e^2\,x^2\right)}","Not used",1,"((a*c^2*d^4 - a*e^4 + 2*b*c*d^2*e^2)/(2*(e^4 - c^2*d^4)) + (b*c*d*e^3*x)/(e^4 - c^2*d^4))/(d^2*e + e^3*x^2 + 2*d*e^2*x) + (log(c*d^28*(-c^3)^(13/2) + c^21*d^28*x + 100*c^7*e^28*x - 100*c^2*e^28*(-c^3)^(3/2) + 496*d^2*e^26*(-c^3)^(5/2) - 7398*d^8*e^20*(-c^3)^(7/2) + 17176*d^14*e^14*(-c^3)^(9/2) - 2703*d^20*e^8*(-c^3)^(11/2) - 20*d^26*e^2*(-c^3)^(13/2) + 496*c^8*d^2*e^26*x + 1473*c^9*d^4*e^24*x + 3692*c^10*d^6*e^22*x + 7398*c^11*d^8*e^20*x + 11868*c^12*d^10*e^18*x + 16015*c^13*d^12*e^16*x + 17176*c^14*d^14*e^14*x + 13192*c^15*d^16*e^12*x + 6984*c^16*d^18*e^10*x + 2703*c^17*d^20*e^8*x + 764*c^18*d^22*e^6*x + 78*c^19*d^24*e^4*x - 20*c^20*d^26*e^2*x + 3692*c^2*d^6*e^22*(-c^3)^(5/2) - 16015*c^2*d^12*e^16*(-c^3)^(7/2) + 6984*c^2*d^18*e^10*(-c^3)^(9/2) - 78*c^2*d^24*e^4*(-c^3)^(11/2) + 1473*c*d^4*e^24*(-c^3)^(5/2) - 11868*c*d^10*e^18*(-c^3)^(7/2) + 13192*c*d^16*e^12*(-c^3)^(9/2) - 764*c*d^22*e^6*(-c^3)^(11/2))*(b*c^2*d^2 - b*c*e^2 + 2*b*d*e*(-c^3)^(1/2)))/(4*(e^5 + 2*c*d^2*e^3 + c^2*d^4*e)) - (log(c^21*d^28*x - c*d^28*(-c^3)^(13/2) + 100*c^7*e^28*x + 100*c^2*e^28*(-c^3)^(3/2) - 496*d^2*e^26*(-c^3)^(5/2) + 7398*d^8*e^20*(-c^3)^(7/2) - 17176*d^14*e^14*(-c^3)^(9/2) + 2703*d^20*e^8*(-c^3)^(11/2) + 20*d^26*e^2*(-c^3)^(13/2) + 496*c^8*d^2*e^26*x + 1473*c^9*d^4*e^24*x + 3692*c^10*d^6*e^22*x + 7398*c^11*d^8*e^20*x + 11868*c^12*d^10*e^18*x + 16015*c^13*d^12*e^16*x + 17176*c^14*d^14*e^14*x + 13192*c^15*d^16*e^12*x + 6984*c^16*d^18*e^10*x + 2703*c^17*d^20*e^8*x + 764*c^18*d^22*e^6*x + 78*c^19*d^24*e^4*x - 20*c^20*d^26*e^2*x - 3692*c^2*d^6*e^22*(-c^3)^(5/2) + 16015*c^2*d^12*e^16*(-c^3)^(7/2) - 6984*c^2*d^18*e^10*(-c^3)^(9/2) + 78*c^2*d^24*e^4*(-c^3)^(11/2) - 1473*c*d^4*e^24*(-c^3)^(5/2) + 11868*c*d^10*e^18*(-c^3)^(7/2) - 13192*c*d^16*e^12*(-c^3)^(9/2) + 764*c*d^22*e^6*(-c^3)^(11/2))*(b*c*e^2 - b*c^2*d^2 + 2*b*d*e*(-c^3)^(1/2)))/(4*(e^5 + 2*c*d^2*e^3 + c^2*d^4*e)) - (log(100*e^28*(c^3)^(7/2) + c^2*d^28*(c^3)^(15/2) - 3692*d^6*e^22*(c^3)^(9/2) + 16015*d^12*e^16*(c^3)^(11/2) - 6984*d^18*e^10*(c^3)^(13/2) + 78*d^24*e^4*(c^3)^(15/2) + c^25*d^28*x + 100*c^11*e^28*x - 496*c^12*d^2*e^26*x + 1473*c^13*d^4*e^24*x - 3692*c^14*d^6*e^22*x + 7398*c^15*d^8*e^20*x - 11868*c^16*d^10*e^18*x + 16015*c^17*d^12*e^16*x - 17176*c^18*d^14*e^14*x + 13192*c^19*d^16*e^12*x - 6984*c^20*d^18*e^10*x + 2703*c^21*d^20*e^8*x - 764*c^22*d^22*e^6*x + 78*c^23*d^24*e^4*x + 20*c^24*d^26*e^2*x - 496*c*d^2*e^26*(c^3)^(7/2) + 7398*c*d^8*e^20*(c^3)^(9/2) - 17176*c*d^14*e^14*(c^3)^(11/2) + 2703*c*d^20*e^8*(c^3)^(13/2) + 20*c*d^26*e^2*(c^3)^(15/2) + 1473*c^2*d^4*e^24*(c^3)^(7/2) - 11868*c^2*d^10*e^18*(c^3)^(9/2) + 13192*c^2*d^16*e^12*(c^3)^(11/2) - 764*c^2*d^22*e^6*(c^3)^(13/2))*(b*c^2*d^2 + b*c*e^2 + 2*b*d*e*(c^3)^(1/2)))/(4*(e^5 - 2*c*d^2*e^3 + c^2*d^4*e)) - (log(100*e^28*(c^3)^(7/2) + c^2*d^28*(c^3)^(15/2) - 3692*d^6*e^22*(c^3)^(9/2) + 16015*d^12*e^16*(c^3)^(11/2) - 6984*d^18*e^10*(c^3)^(13/2) + 78*d^24*e^4*(c^3)^(15/2) - c^25*d^28*x - 100*c^11*e^28*x + 496*c^12*d^2*e^26*x - 1473*c^13*d^4*e^24*x + 3692*c^14*d^6*e^22*x - 7398*c^15*d^8*e^20*x + 11868*c^16*d^10*e^18*x - 16015*c^17*d^12*e^16*x + 17176*c^18*d^14*e^14*x - 13192*c^19*d^16*e^12*x + 6984*c^20*d^18*e^10*x - 2703*c^21*d^20*e^8*x + 764*c^22*d^22*e^6*x - 78*c^23*d^24*e^4*x - 20*c^24*d^26*e^2*x - 496*c*d^2*e^26*(c^3)^(7/2) + 7398*c*d^8*e^20*(c^3)^(9/2) - 17176*c*d^14*e^14*(c^3)^(11/2) + 2703*c*d^20*e^8*(c^3)^(13/2) + 20*c*d^26*e^2*(c^3)^(15/2) + 1473*c^2*d^4*e^24*(c^3)^(7/2) - 11868*c^2*d^10*e^18*(c^3)^(9/2) + 13192*c^2*d^16*e^12*(c^3)^(11/2) - 764*c^2*d^22*e^6*(c^3)^(13/2))*(b*c^2*d^2 + b*c*e^2 - 2*b*d*e*(c^3)^(1/2)))/(4*(e^5 - 2*c*d^2*e^3 + c^2*d^4*e)) + (log(d + e*x)*(b*c*e^5 + 3*b*c^3*d^4*e))/(e^8 + c^4*d^8 - 2*c^2*d^4*e^4) - (b*log(c*x^2 + 1))/(4*e*(d^2 + e^2*x^2 + 2*d*e*x)) + (b*log(1 - c*x^2))/(2*e*(2*d^2 + 2*e^2*x^2 + 4*d*e*x))","B"
29,0,-1,1085,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^2*(d + e*x),x)","\int {\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2\,\left(d+e\,x\right) \,d x","Not used",1,"int((a + b*atanh(c*x^2))^2*(d + e*x), x)","F"
30,0,-1,23,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^2/(d + e*x),x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2}{d+e\,x} \,d x","Not used",0,"int((a + b*atanh(c*x^2))^2/(d + e*x), x)","F"
31,0,-1,23,0.000000,"\text{Not used}","int((a + b*atanh(c*x^2))^2/(d + e*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{atanh}\left(c\,x^2\right)\right)}^2}{{\left(d+e\,x\right)}^2} \,d x","Not used",0,"int((a + b*atanh(c*x^2))^2/(d + e*x)^2, x)","F"
32,1,1081,336,1.819479,"\text{Not used}","int((a + b*atanh(c*x^3))*(d + e*x)^2,x)","\left(\sum _{k=1}^3\ln\left(x\,\left(162\,b^5\,c^9\,d^8\,e^2+6\,b^5\,c^7\,d^2\,e^8\right)+\mathrm{root}\left(216\,c^3\,z^3-108\,b\,c^2\,e^2\,z^2-162\,b^2\,c^2\,d^3\,e\,z+18\,b^2\,c\,e^4\,z-27\,b^3\,c^2\,d^6-b^3\,e^6,z,k\right)\,\left(x\,\left(486\,b^4\,c^{10}\,d^8-90\,b^4\,c^8\,d^2\,e^6\right)+\mathrm{root}\left(216\,c^3\,z^3-108\,b\,c^2\,e^2\,z^2-162\,b^2\,c^2\,d^3\,e\,z+18\,b^2\,c\,e^4\,z-27\,b^3\,c^2\,d^6-b^3\,e^6,z,k\right)\,\left(\mathrm{root}\left(216\,c^3\,z^3-108\,b\,c^2\,e^2\,z^2-162\,b^2\,c^2\,d^3\,e\,z+18\,b^2\,c\,e^4\,z-27\,b^3\,c^2\,d^6-b^3\,e^6,z,k\right)\,\left(3888\,b^2\,c^{10}\,d^3\,e-\mathrm{root}\left(216\,c^3\,z^3-108\,b\,c^2\,e^2\,z^2-162\,b^2\,c^2\,d^3\,e\,z+18\,b^2\,c\,e^4\,z-27\,b^3\,c^2\,d^6-b^3\,e^6,z,k\right)\,b\,c^{11}\,d^2\,x\,3888+648\,b^2\,c^{10}\,d^2\,e^2\,x\right)-972\,b^3\,c^9\,d^3\,e^3+324\,b^3\,c^9\,d^2\,e^4\,x\right)\right)+243\,b^5\,c^9\,d^9\,e+9\,b^5\,c^7\,d^3\,e^7\right)\,\mathrm{root}\left(216\,c^3\,z^3-108\,b\,c^2\,e^2\,z^2-162\,b^2\,c^2\,d^3\,e\,z+18\,b^2\,c\,e^4\,z-27\,b^3\,c^2\,d^6-b^3\,e^6,z,k\right)\right)+\left(\sum _{k=1}^3\ln\left(x\,\left(162\,b^5\,c^9\,d^8\,e^2+6\,b^5\,c^7\,d^2\,e^8\right)+\mathrm{root}\left(216\,c^3\,z^3-108\,b\,c^2\,e^2\,z^2+162\,b^2\,c^2\,d^3\,e\,z+18\,b^2\,c\,e^4\,z-27\,b^3\,c^2\,d^6-b^3\,e^6,z,k\right)\,\left(x\,\left(486\,b^4\,c^{10}\,d^8-90\,b^4\,c^8\,d^2\,e^6\right)+\mathrm{root}\left(216\,c^3\,z^3-108\,b\,c^2\,e^2\,z^2+162\,b^2\,c^2\,d^3\,e\,z+18\,b^2\,c\,e^4\,z-27\,b^3\,c^2\,d^6-b^3\,e^6,z,k\right)\,\left(\mathrm{root}\left(216\,c^3\,z^3-108\,b\,c^2\,e^2\,z^2+162\,b^2\,c^2\,d^3\,e\,z+18\,b^2\,c\,e^4\,z-27\,b^3\,c^2\,d^6-b^3\,e^6,z,k\right)\,\left(3888\,b^2\,c^{10}\,d^3\,e-\mathrm{root}\left(216\,c^3\,z^3-108\,b\,c^2\,e^2\,z^2+162\,b^2\,c^2\,d^3\,e\,z+18\,b^2\,c\,e^4\,z-27\,b^3\,c^2\,d^6-b^3\,e^6,z,k\right)\,b\,c^{11}\,d^2\,x\,3888+648\,b^2\,c^{10}\,d^2\,e^2\,x\right)-972\,b^3\,c^9\,d^3\,e^3+324\,b^3\,c^9\,d^2\,e^4\,x\right)\right)+243\,b^5\,c^9\,d^9\,e+9\,b^5\,c^7\,d^3\,e^7\right)\,\mathrm{root}\left(216\,c^3\,z^3-108\,b\,c^2\,e^2\,z^2+162\,b^2\,c^2\,d^3\,e\,z+18\,b^2\,c\,e^4\,z-27\,b^3\,c^2\,d^6-b^3\,e^6,z,k\right)\right)+\ln\left(c\,x^3+1\right)\,\left(\frac{b\,d^2\,x}{2}+\frac{b\,d\,e\,x^2}{2}+\frac{b\,e^2\,x^3}{6}\right)-\ln\left(1-c\,x^3\right)\,\left(\frac{b\,d^2\,x}{2}+\frac{b\,d\,e\,x^2}{2}+\frac{b\,e^2\,x^3}{6}\right)+\frac{a\,e^2\,x^3}{3}+a\,d^2\,x+a\,d\,e\,x^2","Not used",1,"symsum(log(x*(6*b^5*c^7*d^2*e^8 + 162*b^5*c^9*d^8*e^2) + root(216*c^3*z^3 - 108*b*c^2*e^2*z^2 - 162*b^2*c^2*d^3*e*z + 18*b^2*c*e^4*z - 27*b^3*c^2*d^6 - b^3*e^6, z, k)*(x*(486*b^4*c^10*d^8 - 90*b^4*c^8*d^2*e^6) + root(216*c^3*z^3 - 108*b*c^2*e^2*z^2 - 162*b^2*c^2*d^3*e*z + 18*b^2*c*e^4*z - 27*b^3*c^2*d^6 - b^3*e^6, z, k)*(root(216*c^3*z^3 - 108*b*c^2*e^2*z^2 - 162*b^2*c^2*d^3*e*z + 18*b^2*c*e^4*z - 27*b^3*c^2*d^6 - b^3*e^6, z, k)*(3888*b^2*c^10*d^3*e - 3888*root(216*c^3*z^3 - 108*b*c^2*e^2*z^2 - 162*b^2*c^2*d^3*e*z + 18*b^2*c*e^4*z - 27*b^3*c^2*d^6 - b^3*e^6, z, k)*b*c^11*d^2*x + 648*b^2*c^10*d^2*e^2*x) - 972*b^3*c^9*d^3*e^3 + 324*b^3*c^9*d^2*e^4*x)) + 243*b^5*c^9*d^9*e + 9*b^5*c^7*d^3*e^7)*root(216*c^3*z^3 - 108*b*c^2*e^2*z^2 - 162*b^2*c^2*d^3*e*z + 18*b^2*c*e^4*z - 27*b^3*c^2*d^6 - b^3*e^6, z, k), k, 1, 3) + symsum(log(x*(6*b^5*c^7*d^2*e^8 + 162*b^5*c^9*d^8*e^2) + root(216*c^3*z^3 - 108*b*c^2*e^2*z^2 + 162*b^2*c^2*d^3*e*z + 18*b^2*c*e^4*z - 27*b^3*c^2*d^6 - b^3*e^6, z, k)*(x*(486*b^4*c^10*d^8 - 90*b^4*c^8*d^2*e^6) + root(216*c^3*z^3 - 108*b*c^2*e^2*z^2 + 162*b^2*c^2*d^3*e*z + 18*b^2*c*e^4*z - 27*b^3*c^2*d^6 - b^3*e^6, z, k)*(root(216*c^3*z^3 - 108*b*c^2*e^2*z^2 + 162*b^2*c^2*d^3*e*z + 18*b^2*c*e^4*z - 27*b^3*c^2*d^6 - b^3*e^6, z, k)*(3888*b^2*c^10*d^3*e - 3888*root(216*c^3*z^3 - 108*b*c^2*e^2*z^2 + 162*b^2*c^2*d^3*e*z + 18*b^2*c*e^4*z - 27*b^3*c^2*d^6 - b^3*e^6, z, k)*b*c^11*d^2*x + 648*b^2*c^10*d^2*e^2*x) - 972*b^3*c^9*d^3*e^3 + 324*b^3*c^9*d^2*e^4*x)) + 243*b^5*c^9*d^9*e + 9*b^5*c^7*d^3*e^7)*root(216*c^3*z^3 - 108*b*c^2*e^2*z^2 + 162*b^2*c^2*d^3*e*z + 18*b^2*c*e^4*z - 27*b^3*c^2*d^6 - b^3*e^6, z, k), k, 1, 3) + log(c*x^3 + 1)*((b*e^2*x^3)/6 + (b*d^2*x)/2 + (b*d*e*x^2)/2) - log(1 - c*x^3)*((b*e^2*x^3)/6 + (b*d^2*x)/2 + (b*d*e*x^2)/2) + (a*e^2*x^3)/3 + a*d^2*x + a*d*e*x^2","B"
33,1,621,285,1.032795,"\text{Not used}","int((a + b*atanh(c*x^3))*(d + e*x),x)","\left(\sum _{k=1}^3\ln\left(-\mathrm{root}\left(64\,c^2\,z^3+24\,b^2\,c\,d\,e\,z-8\,b^3\,c\,d^3+b^3\,e^3,z,k\right)\,\left(\mathrm{root}\left(64\,c^2\,z^3+24\,b^2\,c\,d\,e\,z-8\,b^3\,c\,d^3+b^3\,e^3,z,k\right)\,\left(\mathrm{root}\left(64\,c^2\,z^3+24\,b^2\,c\,d\,e\,z-8\,b^3\,c\,d^3+b^3\,e^3,z,k\right)\,\left(486\,b^2\,c^{10}\,e^2\,x-1944\,b^2\,c^{10}\,d\,e+\mathrm{root}\left(64\,c^2\,z^3+24\,b^2\,c\,d\,e\,z-8\,b^3\,c\,d^3+b^3\,e^3,z,k\right)\,b\,c^{11}\,d\,x\,3888\right)-\frac{243\,b^3\,c^9\,e^3}{2}\right)-486\,b^4\,c^{10}\,d^4\,x\right)+\frac{243\,b^5\,c^9\,d^4\,e}{2}+\frac{243\,b^5\,c^9\,d^3\,e^2\,x}{4}\right)\,\mathrm{root}\left(64\,c^2\,z^3+24\,b^2\,c\,d\,e\,z-8\,b^3\,c\,d^3+b^3\,e^3,z,k\right)\right)+\left(\sum _{k=1}^3\ln\left(-\mathrm{root}\left(64\,c^2\,z^3-24\,b^2\,c\,d\,e\,z-8\,b^3\,c\,d^3-b^3\,e^3,z,k\right)\,\left(\mathrm{root}\left(64\,c^2\,z^3-24\,b^2\,c\,d\,e\,z-8\,b^3\,c\,d^3-b^3\,e^3,z,k\right)\,\left(\mathrm{root}\left(64\,c^2\,z^3-24\,b^2\,c\,d\,e\,z-8\,b^3\,c\,d^3-b^3\,e^3,z,k\right)\,\left(486\,b^2\,c^{10}\,e^2\,x-1944\,b^2\,c^{10}\,d\,e+\mathrm{root}\left(64\,c^2\,z^3-24\,b^2\,c\,d\,e\,z-8\,b^3\,c\,d^3-b^3\,e^3,z,k\right)\,b\,c^{11}\,d\,x\,3888\right)-\frac{243\,b^3\,c^9\,e^3}{2}\right)-486\,b^4\,c^{10}\,d^4\,x\right)+\frac{243\,b^5\,c^9\,d^4\,e}{2}+\frac{243\,b^5\,c^9\,d^3\,e^2\,x}{4}\right)\,\mathrm{root}\left(64\,c^2\,z^3-24\,b^2\,c\,d\,e\,z-8\,b^3\,c\,d^3-b^3\,e^3,z,k\right)\right)+\ln\left(c\,x^3+1\right)\,\left(\frac{b\,e\,x^2}{4}+\frac{b\,d\,x}{2}\right)-\ln\left(1-c\,x^3\right)\,\left(\frac{b\,e\,x^2}{4}+\frac{b\,d\,x}{2}\right)+a\,d\,x+\frac{a\,e\,x^2}{2}","Not used",1,"symsum(log((243*b^5*c^9*d^4*e)/2 - root(64*c^2*z^3 + 24*b^2*c*d*e*z - 8*b^3*c*d^3 + b^3*e^3, z, k)*(root(64*c^2*z^3 + 24*b^2*c*d*e*z - 8*b^3*c*d^3 + b^3*e^3, z, k)*(root(64*c^2*z^3 + 24*b^2*c*d*e*z - 8*b^3*c*d^3 + b^3*e^3, z, k)*(486*b^2*c^10*e^2*x - 1944*b^2*c^10*d*e + 3888*root(64*c^2*z^3 + 24*b^2*c*d*e*z - 8*b^3*c*d^3 + b^3*e^3, z, k)*b*c^11*d*x) - (243*b^3*c^9*e^3)/2) - 486*b^4*c^10*d^4*x) + (243*b^5*c^9*d^3*e^2*x)/4)*root(64*c^2*z^3 + 24*b^2*c*d*e*z - 8*b^3*c*d^3 + b^3*e^3, z, k), k, 1, 3) + symsum(log((243*b^5*c^9*d^4*e)/2 - root(64*c^2*z^3 - 24*b^2*c*d*e*z - 8*b^3*c*d^3 - b^3*e^3, z, k)*(root(64*c^2*z^3 - 24*b^2*c*d*e*z - 8*b^3*c*d^3 - b^3*e^3, z, k)*(root(64*c^2*z^3 - 24*b^2*c*d*e*z - 8*b^3*c*d^3 - b^3*e^3, z, k)*(486*b^2*c^10*e^2*x - 1944*b^2*c^10*d*e + 3888*root(64*c^2*z^3 - 24*b^2*c*d*e*z - 8*b^3*c*d^3 - b^3*e^3, z, k)*b*c^11*d*x) - (243*b^3*c^9*e^3)/2) - 486*b^4*c^10*d^4*x) + (243*b^5*c^9*d^3*e^2*x)/4)*root(64*c^2*z^3 - 24*b^2*c*d*e*z - 8*b^3*c*d^3 - b^3*e^3, z, k), k, 1, 3) + log(c*x^3 + 1)*((b*d*x)/2 + (b*e*x^2)/4) - log(1 - c*x^3)*((b*d*x)/2 + (b*e*x^2)/4) + a*d*x + (a*e*x^2)/2","B"
34,0,-1,523,0.000000,"\text{Not used}","int((a + b*atanh(c*x^3))/(d + e*x),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,x^3\right)}{d+e\,x} \,d x","Not used",1,"int((a + b*atanh(c*x^3))/(d + e*x), x)","F"
35,1,2638,414,1.405197,"\text{Not used}","int((a + b*atanh(c*x^3))/(d + e*x)^2,x)","\left(\sum _{k=1}^3\ln\left(-\frac{729\,b^6\,c^{14}\,d\,e^2+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^6\,c^{12}\,e^{15}\,x\,54432+729\,b^6\,c^{14}\,e^3\,x+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^6\,c^{14}\,d^7\,e^8\,31104+\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)\,b^5\,c^{15}\,d^5\,243+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^6\,c^{12}\,d\,e^{14}\,62208-{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^2\,b^4\,c^{14}\,d^3\,e^4\,5832-{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^3\,b^3\,c^{15}\,d^7\,e^2\,1944+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^4\,b^2\,c^{14}\,d^5\,e^6\,15552+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^3\,b^3\,c^{13}\,d\,e^8\,10692+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^5\,b\,c^{13}\,d^3\,e^{10}\,101088+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^5\,b\,c^{15}\,d^9\,e^4\,3888+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^3\,b^3\,c^{13}\,e^9\,x\,12636+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^6\,c^{14}\,d^6\,e^9\,x\,38880+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^5\,b\,c^{13}\,d^2\,e^{11}\,x\,116640+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^5\,b\,c^{15}\,d^8\,e^5\,x\,11664-{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^2\,b^4\,c^{14}\,d^2\,e^5\,x\,11664-{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^3\,b^3\,c^{15}\,d^6\,e^3\,x\,3888+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)}^4\,b^2\,c^{14}\,d^4\,e^7\,x\,38880+\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)\,b^5\,c^{15}\,d^4\,e\,x\,243}{e^4}\right)\,\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3-8\,e^6\,z^3-12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z-b^3\,c,z,k\right)\right)+\left(\sum _{k=1}^3\ln\left(-\frac{729\,b^6\,c^{14}\,d\,e^2+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^6\,c^{12}\,e^{15}\,x\,54432+729\,b^6\,c^{14}\,e^3\,x+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^6\,c^{14}\,d^7\,e^8\,31104+\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)\,b^5\,c^{15}\,d^5\,243+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^6\,c^{12}\,d\,e^{14}\,62208-{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^2\,b^4\,c^{14}\,d^3\,e^4\,5832-{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^3\,b^3\,c^{15}\,d^7\,e^2\,1944+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^4\,b^2\,c^{14}\,d^5\,e^6\,15552+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^3\,b^3\,c^{13}\,d\,e^8\,10692+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^5\,b\,c^{13}\,d^3\,e^{10}\,101088+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^5\,b\,c^{15}\,d^9\,e^4\,3888+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^3\,b^3\,c^{13}\,e^9\,x\,12636+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^6\,c^{14}\,d^6\,e^9\,x\,38880+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^5\,b\,c^{13}\,d^2\,e^{11}\,x\,116640+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^5\,b\,c^{15}\,d^8\,e^5\,x\,11664-{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^2\,b^4\,c^{14}\,d^2\,e^5\,x\,11664-{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^3\,b^3\,c^{15}\,d^6\,e^3\,x\,3888+{\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)}^4\,b^2\,c^{14}\,d^4\,e^7\,x\,38880+\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)\,b^5\,c^{15}\,d^4\,e\,x\,243}{e^4}\right)\,\mathrm{root}\left(8\,c\,d^3\,e^3\,z^3+8\,e^6\,z^3+12\,b\,c\,d^2\,e^2\,z^2+6\,b^2\,c\,d\,e\,z+b^3\,c,z,k\right)\right)-\frac{a}{x\,e^2+d\,e}-\frac{b\,\ln\left(c\,x^3+1\right)}{2\,\left(x\,e^2+d\,e\right)}+\frac{b\,\ln\left(1-c\,x^3\right)}{2\,x\,e^2+2\,d\,e}+\frac{3\,b\,c\,d^2\,e^2\,\ln\left(d+e\,x\right)}{e^6-c^2\,d^6}","Not used",1,"symsum(log(-(729*b^6*c^14*d*e^2 + 54432*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^6*c^12*e^15*x + 729*b^6*c^14*e^3*x + 31104*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^6*c^14*d^7*e^8 + 243*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)*b^5*c^15*d^5 + 62208*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^6*c^12*d*e^14 - 5832*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^2*b^4*c^14*d^3*e^4 - 1944*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^3*b^3*c^15*d^7*e^2 + 15552*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^4*b^2*c^14*d^5*e^6 + 10692*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^3*b^3*c^13*d*e^8 + 101088*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^5*b*c^13*d^3*e^10 + 3888*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^5*b*c^15*d^9*e^4 + 12636*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^3*b^3*c^13*e^9*x + 38880*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^6*c^14*d^6*e^9*x + 116640*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^5*b*c^13*d^2*e^11*x + 11664*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^5*b*c^15*d^8*e^5*x - 11664*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^2*b^4*c^14*d^2*e^5*x - 3888*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^3*b^3*c^15*d^6*e^3*x + 38880*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)^4*b^2*c^14*d^4*e^7*x + 243*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k)*b^5*c^15*d^4*e*x)/e^4)*root(8*c*d^3*e^3*z^3 - 8*e^6*z^3 - 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z - b^3*c, z, k), k, 1, 3) + symsum(log(-(729*b^6*c^14*d*e^2 + 54432*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^6*c^12*e^15*x + 729*b^6*c^14*e^3*x + 31104*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^6*c^14*d^7*e^8 + 243*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)*b^5*c^15*d^5 + 62208*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^6*c^12*d*e^14 - 5832*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^2*b^4*c^14*d^3*e^4 - 1944*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^3*b^3*c^15*d^7*e^2 + 15552*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^4*b^2*c^14*d^5*e^6 + 10692*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^3*b^3*c^13*d*e^8 + 101088*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^5*b*c^13*d^3*e^10 + 3888*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^5*b*c^15*d^9*e^4 + 12636*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^3*b^3*c^13*e^9*x + 38880*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^6*c^14*d^6*e^9*x + 116640*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^5*b*c^13*d^2*e^11*x + 11664*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^5*b*c^15*d^8*e^5*x - 11664*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^2*b^4*c^14*d^2*e^5*x - 3888*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^3*b^3*c^15*d^6*e^3*x + 38880*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)^4*b^2*c^14*d^4*e^7*x + 243*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k)*b^5*c^15*d^4*e*x)/e^4)*root(8*c*d^3*e^3*z^3 + 8*e^6*z^3 + 12*b*c*d^2*e^2*z^2 + 6*b^2*c*d*e*z + b^3*c, z, k), k, 1, 3) - a/(d*e + e^2*x) - (b*log(c*x^3 + 1))/(2*(d*e + e^2*x)) + (b*log(1 - c*x^3))/(2*d*e + 2*e^2*x) + (3*b*c*d^2*e^2*log(d + e*x))/(e^6 - c^2*d^6)","B"
36,0,-1,195,0.000000,"\text{Not used}","int(-(x^3*(a + b*atanh(c*x^(1/2))))/(c^2*x - 1),x)","\int -\frac{x^3\,\left(a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)\right)}{c^2\,x-1} \,d x","Not used",1,"int(-(x^3*(a + b*atanh(c*x^(1/2))))/(c^2*x - 1), x)","F"
37,0,-1,160,0.000000,"\text{Not used}","int(-(x^2*(a + b*atanh(c*x^(1/2))))/(c^2*x - 1),x)","\int -\frac{x^2\,\left(a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)\right)}{c^2\,x-1} \,d x","Not used",1,"int(-(x^2*(a + b*atanh(c*x^(1/2))))/(c^2*x - 1), x)","F"
38,0,-1,120,0.000000,"\text{Not used}","int(-(x*(a + b*atanh(c*x^(1/2))))/(c^2*x - 1),x)","\int -\frac{x\,\left(a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)\right)}{c^2\,x-1} \,d x","Not used",1,"int(-(x*(a + b*atanh(c*x^(1/2))))/(c^2*x - 1), x)","F"
39,0,-1,78,0.000000,"\text{Not used}","int(-(a + b*atanh(c*x^(1/2)))/(c^2*x - 1),x)","\int -\frac{a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{c^2\,x-1} \,d x","Not used",1,"int(-(a + b*atanh(c*x^(1/2)))/(c^2*x - 1), x)","F"
40,0,-1,69,0.000000,"\text{Not used}","int(-(a + b*atanh(c*x^(1/2)))/(x*(c^2*x - 1)),x)","-\int \frac{a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{x\,\left(c^2\,x-1\right)} \,d x","Not used",1,"-int((a + b*atanh(c*x^(1/2)))/(x*(c^2*x - 1)), x)","F"
41,0,-1,117,0.000000,"\text{Not used}","int(-(a + b*atanh(c*x^(1/2)))/(x^2*(c^2*x - 1)),x)","-\int \frac{a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{x^2\,\left(c^2\,x-1\right)} \,d x","Not used",1,"-int((a + b*atanh(c*x^(1/2)))/(x^2*(c^2*x - 1)), x)","F"
42,0,-1,157,0.000000,"\text{Not used}","int(-(a + b*atanh(c*x^(1/2)))/(x^3*(c^2*x - 1)),x)","-\int \frac{a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{x^3\,\left(c^2\,x-1\right)} \,d x","Not used",1,"-int((a + b*atanh(c*x^(1/2)))/(x^3*(c^2*x - 1)), x)","F"
43,0,-1,192,0.000000,"\text{Not used}","int(-(a + b*atanh(c*x^(1/2)))/(x^4*(c^2*x - 1)),x)","-\int \frac{a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{x^4\,\left(c^2\,x-1\right)} \,d x","Not used",1,"-int((a + b*atanh(c*x^(1/2)))/(x^4*(c^2*x - 1)), x)","F"
44,0,-1,460,0.000000,"\text{Not used}","int((x^2*(a + b*atanh(c*x^(1/2))))/(d + e*x),x)","\int \frac{x^2\,\left(a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)\right)}{d+e\,x} \,d x","Not used",1,"int((x^2*(a + b*atanh(c*x^(1/2))))/(d + e*x), x)","F"
45,0,-1,374,0.000000,"\text{Not used}","int((x*(a + b*atanh(c*x^(1/2))))/(d + e*x),x)","\int \frac{x\,\left(a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)\right)}{d+e\,x} \,d x","Not used",1,"int((x*(a + b*atanh(c*x^(1/2))))/(d + e*x), x)","F"
46,0,-1,318,0.000000,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))/(d + e*x),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{d+e\,x} \,d x","Not used",1,"int((a + b*atanh(c*x^(1/2)))/(d + e*x), x)","F"
47,0,-1,358,0.000000,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))/(x*(d + e*x)),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{x\,\left(d+e\,x\right)} \,d x","Not used",1,"int((a + b*atanh(c*x^(1/2)))/(x*(d + e*x)), x)","F"
48,0,-1,413,0.000000,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))/(x^2*(d + e*x)),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{x^2\,\left(d+e\,x\right)} \,d x","Not used",1,"int((a + b*atanh(c*x^(1/2)))/(x^2*(d + e*x)), x)","F"
49,0,-1,506,0.000000,"\text{Not used}","int((a + b*atanh(c*x^(1/2)))/(x^3*(d + e*x)),x)","\int \frac{a+b\,\mathrm{atanh}\left(c\,\sqrt{x}\right)}{x^3\,\left(d+e\,x\right)} \,d x","Not used",1,"int((a + b*atanh(c*x^(1/2)))/(x^3*(d + e*x)), x)","F"