1,1,371,72,0.653633,"\text{Not used}","int((c*e + d*e*x)^3*(a + b*atan(c + d*x)),x)","\mathrm{atan}\left(c+d\,x\right)\,\left(b\,c^3\,e^3\,x+\frac{3\,b\,c^2\,d\,e^3\,x^2}{2}+b\,c\,d^2\,e^3\,x^3+\frac{b\,d^3\,e^3\,x^4}{4}\right)-x^3\,\left(\frac{d^2\,e^3\,\left(b-20\,a\,c\right)}{12}+\frac{2\,a\,c\,d^2\,e^3}{3}\right)+x^2\,\left(\frac{c\,\left(\frac{d^2\,e^3\,\left(b-20\,a\,c\right)}{4}+2\,a\,c\,d^2\,e^3\right)}{d}+\frac{d\,e^3\,\left(10\,a\,c^2-b\,c+a\right)}{2}-\frac{a\,d\,e^3\,\left(4\,c^2+4\right)}{8}\right)+x\,\left(\frac{c\,e^3\,\left(20\,a\,c^2-3\,b\,c+6\,a\right)}{2}+\frac{\left(4\,c^2+4\right)\,\left(\frac{d^2\,e^3\,\left(b-20\,a\,c\right)}{4}+2\,a\,c\,d^2\,e^3\right)}{4\,d^2}-\frac{2\,c\,\left(\frac{2\,c\,\left(\frac{d^2\,e^3\,\left(b-20\,a\,c\right)}{4}+2\,a\,c\,d^2\,e^3\right)}{d}+d\,e^3\,\left(10\,a\,c^2-b\,c+a\right)-\frac{a\,d\,e^3\,\left(4\,c^2+4\right)}{4}\right)}{d}\right)+\frac{a\,d^3\,e^3\,x^4}{4}-\frac{b\,e^3\,\mathrm{atan}\left(\frac{\frac{b\,c\,e^3\,\left(c^2+1\right)\,\left(c-1\right)\,\left(c+1\right)}{4}+\frac{b\,d\,e^3\,x\,\left(c^2+1\right)\,\left(c-1\right)\,\left(c+1\right)}{4}}{\frac{b\,e^3}{4}-\frac{b\,c^4\,e^3}{4}}\right)\,\left(c^2+1\right)\,\left(c-1\right)\,\left(c+1\right)}{4\,d}","Not used",1,"atan(c + d*x)*((b*d^3*e^3*x^4)/4 + b*c^3*e^3*x + (3*b*c^2*d*e^3*x^2)/2 + b*c*d^2*e^3*x^3) - x^3*((d^2*e^3*(b - 20*a*c))/12 + (2*a*c*d^2*e^3)/3) + x^2*((c*((d^2*e^3*(b - 20*a*c))/4 + 2*a*c*d^2*e^3))/d + (d*e^3*(a - b*c + 10*a*c^2))/2 - (a*d*e^3*(4*c^2 + 4))/8) + x*((c*e^3*(6*a - 3*b*c + 20*a*c^2))/2 + ((4*c^2 + 4)*((d^2*e^3*(b - 20*a*c))/4 + 2*a*c*d^2*e^3))/(4*d^2) - (2*c*((2*c*((d^2*e^3*(b - 20*a*c))/4 + 2*a*c*d^2*e^3))/d + d*e^3*(a - b*c + 10*a*c^2) - (a*d*e^3*(4*c^2 + 4))/4))/d) + (a*d^3*e^3*x^4)/4 - (b*e^3*atan(((b*c*e^3*(c^2 + 1)*(c - 1)*(c + 1))/4 + (b*d*e^3*x*(c^2 + 1)*(c - 1)*(c + 1))/4)/((b*e^3)/4 - (b*c^4*e^3)/4))*(c^2 + 1)*(c - 1)*(c + 1))/(4*d)","B"
2,1,144,67,1.170134,"\text{Not used}","int((c*e + d*e*x)^2*(a + b*atan(c + d*x)),x)","\frac{a\,d^2\,e^2\,x^3}{3}-\frac{b\,c\,e^2\,x}{3}+\frac{b\,e^2\,\ln\left(c^2+2\,c\,d\,x+d^2\,x^2+1\right)}{6\,d}+a\,c^2\,e^2\,x-\frac{b\,d\,e^2\,x^2}{6}+b\,c^2\,e^2\,x\,\mathrm{atan}\left(c+d\,x\right)+a\,c\,d\,e^2\,x^2+\frac{b\,c^3\,e^2\,\mathrm{atan}\left(c+d\,x\right)}{3\,d}+\frac{b\,d^2\,e^2\,x^3\,\mathrm{atan}\left(c+d\,x\right)}{3}+b\,c\,d\,e^2\,x^2\,\mathrm{atan}\left(c+d\,x\right)","Not used",1,"(a*d^2*e^2*x^3)/3 - (b*c*e^2*x)/3 + (b*e^2*log(c^2 + d^2*x^2 + 2*c*d*x + 1))/(6*d) + a*c^2*e^2*x - (b*d*e^2*x^2)/6 + b*c^2*e^2*x*atan(c + d*x) + a*c*d*e^2*x^2 + (b*c^3*e^2*atan(c + d*x))/(3*d) + (b*d^2*e^2*x^3*atan(c + d*x))/3 + b*c*d*e^2*x^2*atan(c + d*x)","B"
3,1,73,48,1.454221,"\text{Not used}","int((c*e + d*e*x)*(a + b*atan(c + d*x)),x)","a\,c\,e\,x-\frac{b\,e\,x}{2}+\frac{b\,e\,\mathrm{atan}\left(c+d\,x\right)}{2\,d}+\frac{a\,d\,e\,x^2}{2}+\frac{b\,c^2\,e\,\mathrm{atan}\left(c+d\,x\right)}{2\,d}+b\,c\,e\,x\,\mathrm{atan}\left(c+d\,x\right)+\frac{b\,d\,e\,x^2\,\mathrm{atan}\left(c+d\,x\right)}{2}","Not used",1,"a*c*e*x - (b*e*x)/2 + (b*e*atan(c + d*x))/(2*d) + (a*d*e*x^2)/2 + (b*c^2*e*atan(c + d*x))/(2*d) + b*c*e*x*atan(c + d*x) + (b*d*e*x^2*atan(c + d*x))/2","B"
4,0,-1,63,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))/(c*e + d*e*x),x)","\int \frac{a+b\,\mathrm{atan}\left(c+d\,x\right)}{c\,e+d\,e\,x} \,d x","Not used",1,"int((a + b*atan(c + d*x))/(c*e + d*e*x), x)","F"
5,1,88,61,0.665366,"\text{Not used}","int((a + b*atan(c + d*x))/(c*e + d*e*x)^2,x)","\frac{b\,\ln\left(c+d\,x\right)}{d\,e^2}-\frac{b\,\mathrm{atan}\left(c+d\,x\right)}{x\,d^2\,e^2+c\,d\,e^2}-\frac{b\,\ln\left(c^2+2\,c\,d\,x+d^2\,x^2+1\right)}{2\,d\,e^2}-\frac{a}{x\,d^2\,e^2+c\,d\,e^2}","Not used",1,"(b*log(c + d*x))/(d*e^2) - (b*atan(c + d*x))/(d^2*e^2*x + c*d*e^2) - (b*log(c^2 + d^2*x^2 + 2*c*d*x + 1))/(2*d*e^2) - a/(d^2*e^2*x + c*d*e^2)","B"
6,1,103,63,0.753901,"\text{Not used}","int((a + b*atan(c + d*x))/(c*e + d*e*x)^3,x)","-\frac{\frac{a+b\,c}{d}+b\,x}{2\,c^2\,e^3+4\,c\,d\,e^3\,x+2\,d^2\,e^3\,x^2}-\frac{b\,\mathrm{atan}\left(\frac{b\,c+b\,d\,x}{b}\right)}{2\,d\,e^3}-\frac{b\,\mathrm{atan}\left(c+d\,x\right)}{2\,d^3\,e^3\,\left(x^2+\frac{c^2}{d^2}+\frac{2\,c\,x}{d}\right)}","Not used",1,"- ((a + b*c)/d + b*x)/(2*c^2*e^3 + 2*d^2*e^3*x^2 + 4*c*d*e^3*x) - (b*atan((b*c + b*d*x)/b))/(2*d*e^3) - (b*atan(c + d*x))/(2*d^3*e^3*(x^2 + c^2/d^2 + (2*c*x)/d))","B"
7,1,633,157,3.263059,"\text{Not used}","int((c*e + d*e*x)^3*(a + b*atan(c + d*x))^2,x)","x\,\left(\frac{c\,e^3\,\left(20\,a^2\,c^2+6\,a^2-6\,a\,b\,c+b^2\right)}{2}+\frac{\left(6\,c^2+6\right)\,\left(2\,a^2\,c\,d^2\,e^3+\frac{a\,d^2\,e^3\,\left(b-10\,a\,c\right)}{2}\right)}{6\,d^2}-\frac{2\,c\,\left(\frac{2\,c\,\left(2\,a^2\,c\,d^2\,e^3+\frac{a\,d^2\,e^3\,\left(b-10\,a\,c\right)}{2}\right)}{d}+\frac{d\,e^3\,\left(60\,a^2\,c^2+6\,a^2-12\,a\,b\,c+b^2\right)}{6}-\frac{a^2\,d\,e^3\,\left(6\,c^2+6\right)}{6}\right)}{d}\right)+x^2\,\left(\frac{c\,\left(2\,a^2\,c\,d^2\,e^3+\frac{a\,d^2\,e^3\,\left(b-10\,a\,c\right)}{2}\right)}{d}+\frac{d\,e^3\,\left(60\,a^2\,c^2+6\,a^2-12\,a\,b\,c+b^2\right)}{12}-\frac{a^2\,d\,e^3\,\left(6\,c^2+6\right)}{12}\right)-x^3\,\left(\frac{2\,a^2\,c\,d^2\,e^3}{3}+\frac{a\,d^2\,e^3\,\left(b-10\,a\,c\right)}{6}\right)+{\mathrm{atan}\left(c+d\,x\right)}^2\,\left(b^2\,c^3\,e^3\,x-\frac{b^2\,e^3-b^2\,c^4\,e^3}{4\,d}+\frac{b^2\,d^3\,e^3\,x^4}{4}+\frac{3\,b^2\,c^2\,d\,e^3\,x^2}{2}+b^2\,c\,d^2\,e^3\,x^3\right)-d^2\,\mathrm{atan}\left(c+d\,x\right)\,\left(x^3\,\left(\frac{b^2\,e^3}{6}-2\,a\,b\,c\,e^3\right)-\frac{x\,\left(-b^2\,c^2\,e^3+b^2\,e^3+4\,a\,b\,c^3\,e^3\right)}{2\,d^2}+\frac{x^2\,\left(b^2\,c\,e^3-6\,a\,b\,c^2\,e^3\right)}{2\,d}-\frac{a\,b\,d\,e^3\,x^4}{2}\right)+\frac{a^2\,d^3\,e^3\,x^4}{4}-\frac{b^2\,e^3\,\ln\left(c^2+2\,c\,d\,x+d^2\,x^2+1\right)}{3\,d}+\frac{b\,e^3\,\mathrm{atan}\left(\frac{\frac{b\,c\,e^3\,\left(-3\,a\,c^4+b\,c^3-3\,b\,c+3\,a\right)}{6}+\frac{b\,d\,e^3\,x\,\left(-3\,a\,c^4+b\,c^3-3\,b\,c+3\,a\right)}{6}}{-\frac{b^2\,c^3\,e^3}{6}+\frac{b^2\,c\,e^3}{2}+\frac{a\,b\,c^4\,e^3}{2}-\frac{a\,b\,e^3}{2}}\right)\,\left(-3\,a\,c^4+b\,c^3-3\,b\,c+3\,a\right)}{6\,d}","Not used",1,"x*((c*e^3*(6*a^2 + b^2 + 20*a^2*c^2 - 6*a*b*c))/2 + ((6*c^2 + 6)*(2*a^2*c*d^2*e^3 + (a*d^2*e^3*(b - 10*a*c))/2))/(6*d^2) - (2*c*((2*c*(2*a^2*c*d^2*e^3 + (a*d^2*e^3*(b - 10*a*c))/2))/d + (d*e^3*(6*a^2 + b^2 + 60*a^2*c^2 - 12*a*b*c))/6 - (a^2*d*e^3*(6*c^2 + 6))/6))/d) + x^2*((c*(2*a^2*c*d^2*e^3 + (a*d^2*e^3*(b - 10*a*c))/2))/d + (d*e^3*(6*a^2 + b^2 + 60*a^2*c^2 - 12*a*b*c))/12 - (a^2*d*e^3*(6*c^2 + 6))/12) - x^3*((2*a^2*c*d^2*e^3)/3 + (a*d^2*e^3*(b - 10*a*c))/6) + atan(c + d*x)^2*(b^2*c^3*e^3*x - (b^2*e^3 - b^2*c^4*e^3)/(4*d) + (b^2*d^3*e^3*x^4)/4 + (3*b^2*c^2*d*e^3*x^2)/2 + b^2*c*d^2*e^3*x^3) - d^2*atan(c + d*x)*(x^3*((b^2*e^3)/6 - 2*a*b*c*e^3) - (x*(b^2*e^3 - b^2*c^2*e^3 + 4*a*b*c^3*e^3))/(2*d^2) + (x^2*(b^2*c*e^3 - 6*a*b*c^2*e^3))/(2*d) - (a*b*d*e^3*x^4)/2) + (a^2*d^3*e^3*x^4)/4 - (b^2*e^3*log(c^2 + d^2*x^2 + 2*c*d*x + 1))/(3*d) + (b*e^3*atan(((b*c*e^3*(3*a - 3*b*c - 3*a*c^4 + b*c^3))/6 + (b*d*e^3*x*(3*a - 3*b*c - 3*a*c^4 + b*c^3))/6)/((b^2*c*e^3)/2 - (b^2*c^3*e^3)/6 - (a*b*e^3)/2 + (a*b*c^4*e^3)/2))*(3*a - 3*b*c - 3*a*c^4 + b*c^3))/(6*d)","B"
8,0,-1,183,0.000000,"\text{Not used}","int((c*e + d*e*x)^2*(a + b*atan(c + d*x))^2,x)","\int {\left(c\,e+d\,e\,x\right)}^2\,{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((c*e + d*e*x)^2*(a + b*atan(c + d*x))^2, x)","F"
9,1,216,95,1.611455,"\text{Not used}","int((c*e + d*e*x)*(a + b*atan(c + d*x))^2,x)","{\mathrm{atan}\left(c+d\,x\right)}^2\,\left(\frac{e\,b^2\,c^2+e\,b^2}{2\,d}+b^2\,c\,e\,x+\frac{b^2\,d\,e\,x^2}{2}\right)-x\,\left(a\,e\,\left(b-3\,a\,c\right)+2\,a^2\,c\,e\right)-d^2\,\mathrm{atan}\left(c+d\,x\right)\,\left(\frac{x\,\left(b^2\,e-2\,a\,b\,c\,e\right)}{d^2}-\frac{a\,b\,e\,x^2}{d}\right)+\frac{b^2\,e\,\ln\left(c^2+2\,c\,d\,x+d^2\,x^2+1\right)}{2\,d}+\frac{a^2\,d\,e\,x^2}{2}+\frac{b\,e\,\mathrm{atan}\left(\frac{b\,c\,e\,\left(a\,c^2-b\,c+a\right)+b\,d\,e\,x\,\left(a\,c^2-b\,c+a\right)}{-e\,b^2\,c+a\,e\,b\,c^2+a\,e\,b}\right)\,\left(a\,c^2-b\,c+a\right)}{d}","Not used",1,"atan(c + d*x)^2*((b^2*e + b^2*c^2*e)/(2*d) + b^2*c*e*x + (b^2*d*e*x^2)/2) - x*(a*e*(b - 3*a*c) + 2*a^2*c*e) - d^2*atan(c + d*x)*((x*(b^2*e - 2*a*b*c*e))/d^2 - (a*b*e*x^2)/d) + (b^2*e*log(c^2 + d^2*x^2 + 2*c*d*x + 1))/(2*d) + (a^2*d*e*x^2)/2 + (b*e*atan((b*c*e*(a - b*c + a*c^2) + b*d*e*x*(a - b*c + a*c^2))/(a*b*e - b^2*c*e + a*b*c^2*e))*(a - b*c + a*c^2))/d","B"
10,0,-1,183,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))^2/(c*e + d*e*x),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^2}{c\,e+d\,e\,x} \,d x","Not used",1,"int((a + b*atan(c + d*x))^2/(c*e + d*e*x), x)","F"
11,0,-1,119,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))^2/(c*e + d*e*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^2}{{\left(c\,e+d\,e\,x\right)}^2} \,d x","Not used",1,"int((a + b*atan(c + d*x))^2/(c*e + d*e*x)^2, x)","F"
12,1,232,117,2.856850,"\text{Not used}","int((a + b*atan(c + d*x))^2/(c*e + d*e*x)^3,x)","\frac{b^2\,\ln\left(c+d\,x\right)}{d\,e^3}-\frac{\frac{a^2+2\,b\,c\,a}{2\,d}+a\,b\,x}{c^2\,e^3+2\,c\,d\,e^3\,x+d^2\,e^3\,x^2}-\frac{\mathrm{atan}\left(c+d\,x\right)\,\left(\frac{b^2\,c}{d^3\,e^3}+\frac{b^2\,x}{d^2\,e^3}+\frac{a\,b}{d^3\,e^3}\right)}{x^2+\frac{c^2}{d^2}+\frac{2\,c\,x}{d}}-{\mathrm{atan}\left(c+d\,x\right)}^2\,\left(\frac{b^2}{2\,d\,e^3}+\frac{b^2}{2\,d^3\,e^3\,\left(x^2+\frac{c^2}{d^2}+\frac{2\,c\,x}{d}\right)}\right)+\frac{\ln\left(c+d\,x-\mathrm{i}\right)\,\left(-\frac{b^2}{2}+\frac{a\,b\,1{}\mathrm{i}}{2}\right)}{d\,e^3}-\frac{\ln\left(c+d\,x+1{}\mathrm{i}\right)\,\left(\frac{b^2}{2}+\frac{1{}\mathrm{i}\,a\,b}{2}\right)}{d\,e^3}","Not used",1,"(b^2*log(c + d*x))/(d*e^3) - ((a^2 + 2*a*b*c)/(2*d) + a*b*x)/(c^2*e^3 + d^2*e^3*x^2 + 2*c*d*e^3*x) - (atan(c + d*x)*((b^2*c)/(d^3*e^3) + (b^2*x)/(d^2*e^3) + (a*b)/(d^3*e^3)))/(x^2 + c^2/d^2 + (2*c*x)/d) - atan(c + d*x)^2*(b^2/(2*d*e^3) + b^2/(2*d^3*e^3*(x^2 + c^2/d^2 + (2*c*x)/d))) + (log(c + d*x - 1i)*((a*b*1i)/2 - b^2/2))/(d*e^3) - (log(c + d*x + 1i)*((a*b*1i)/2 + b^2/2))/(d*e^3)","B"
13,0,-1,194,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))^2/(c*e + d*e*x)^4,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^2}{{\left(c\,e+d\,e\,x\right)}^4} \,d x","Not used",1,"int((a + b*atan(c + d*x))^2/(c*e + d*e*x)^4, x)","F"
14,1,438,170,3.645306,"\text{Not used}","int((a + b*atan(c + d*x))^2/(c*e + d*e*x)^5,x)","{\mathrm{atan}\left(c+d\,x\right)}^2\,\left(\frac{b^2}{4\,d\,e^5}-\frac{b^2}{4\,d^3\,e^5\,\left(\frac{c^4}{d^2}+6\,c^2\,x^2+d^2\,x^4+\frac{4\,c^3\,x}{d}+4\,c\,d\,x^3\right)}\right)-\frac{x^2\,\left(\frac{b^2\,d}{2}-9\,a\,b\,c\,d\right)+x\,\left(b^2\,c-9\,a\,b\,c^2+a\,b\right)+\frac{3\,a^2-6\,a\,b\,c^3+2\,a\,b\,c+b^2\,c^2}{2\,d}-3\,a\,b\,d^2\,x^3}{6\,c^4\,e^5+24\,c^3\,d\,e^5\,x+36\,c^2\,d^2\,e^5\,x^2+24\,c\,d^3\,e^5\,x^3+6\,d^4\,e^5\,x^4}+\frac{\mathrm{atan}\left(c+d\,x\right)\,\left(\frac{b^2\,x^3}{2\,e^5}-\frac{a\,b}{2\,d^3\,e^5}+\frac{b^2\,c\,\left(\frac{c^2-1}{3\,d^2}+\frac{2\,c^2}{3\,d^2}\right)}{2\,d\,e^5}+\frac{b^2\,x\,\left(d\,\left(\frac{c^2-1}{3\,d^2}+\frac{2\,c^2}{3\,d^2}\right)+\frac{2\,c^2}{d}\right)}{2\,d\,e^5}+\frac{3\,b^2\,c\,x^2}{2\,d\,e^5}\right)}{\frac{c^4}{d^2}+6\,c^2\,x^2+d^2\,x^4+\frac{4\,c^3\,x}{d}+4\,c\,d\,x^3}-\frac{2\,b^2\,\ln\left(c+d\,x\right)}{3\,d\,e^5}-\frac{\ln\left(c+d\,x-\mathrm{i}\right)\,\left(-\frac{b^2}{3}+\frac{a\,b\,1{}\mathrm{i}}{4}\right)}{d\,e^5}+\frac{\ln\left(c+d\,x+1{}\mathrm{i}\right)\,\left(\frac{b^2}{3}+\frac{1{}\mathrm{i}\,a\,b}{4}\right)}{d\,e^5}","Not used",1,"atan(c + d*x)^2*(b^2/(4*d*e^5) - b^2/(4*d^3*e^5*(c^4/d^2 + 6*c^2*x^2 + d^2*x^4 + (4*c^3*x)/d + 4*c*d*x^3))) - (x^2*((b^2*d)/2 - 9*a*b*c*d) + x*(a*b + b^2*c - 9*a*b*c^2) + (3*a^2 + b^2*c^2 + 2*a*b*c - 6*a*b*c^3)/(2*d) - 3*a*b*d^2*x^3)/(6*c^4*e^5 + 6*d^4*e^5*x^4 + 24*c*d^3*e^5*x^3 + 36*c^2*d^2*e^5*x^2 + 24*c^3*d*e^5*x) + (atan(c + d*x)*((b^2*x^3)/(2*e^5) - (a*b)/(2*d^3*e^5) + (b^2*c*((c^2 - 1)/(3*d^2) + (2*c^2)/(3*d^2)))/(2*d*e^5) + (b^2*x*(d*((c^2 - 1)/(3*d^2) + (2*c^2)/(3*d^2)) + (2*c^2)/d))/(2*d*e^5) + (3*b^2*c*x^2)/(2*d*e^5)))/(c^4/d^2 + 6*c^2*x^2 + d^2*x^4 + (4*c^3*x)/d + 4*c*d*x^3) - (2*b^2*log(c + d*x))/(3*d*e^5) - (log(c + d*x - 1i)*((a*b*1i)/4 - b^2/3))/(d*e^5) + (log(c + d*x + 1i)*((a*b*1i)/4 + b^2/3))/(d*e^5)","B"
15,0,-1,271,0.000000,"\text{Not used}","int((c*e + d*e*x)^2*(a + b*atan(c + d*x))^3,x)","\int {\left(c\,e+d\,e\,x\right)}^2\,{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((c*e + d*e*x)^2*(a + b*atan(c + d*x))^3, x)","F"
16,0,-1,164,0.000000,"\text{Not used}","int((c*e + d*e*x)*(a + b*atan(c + d*x))^3,x)","\int \left(c\,e+d\,e\,x\right)\,{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((c*e + d*e*x)*(a + b*atan(c + d*x))^3, x)","F"
17,0,-1,279,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))^3/(c*e + d*e*x),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^3}{c\,e+d\,e\,x} \,d x","Not used",1,"int((a + b*atan(c + d*x))^3/(c*e + d*e*x), x)","F"
18,0,-1,163,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))^3/(c*e + d*e*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^3}{{\left(c\,e+d\,e\,x\right)}^2} \,d x","Not used",1,"int((a + b*atan(c + d*x))^3/(c*e + d*e*x)^2, x)","F"
19,0,-1,180,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))^3/(c*e + d*e*x)^3,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^3}{{\left(c\,e+d\,e\,x\right)}^3} \,d x","Not used",1,"int((a + b*atan(c + d*x))^3/(c*e + d*e*x)^3, x)","F"
20,0,-1,287,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))^3/(c*e + d*e*x)^4,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^3}{{\left(c\,e+d\,e\,x\right)}^4} \,d x","Not used",1,"int((a + b*atan(c + d*x))^3/(c*e + d*e*x)^4, x)","F"
21,1,25,31,0.081036,"\text{Not used}","int(atan(x + 1)/(2*x + 2),x)","-\frac{{\mathrm{Li}}_{\mathrm{2}}\left(1-x\,1{}\mathrm{i}-\mathrm{i}\right)\,1{}\mathrm{i}}{4}+\frac{{\mathrm{Li}}_{\mathrm{2}}\left(x\,1{}\mathrm{i}+1+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}","Not used",1,"(dilog(x*1i + (1 + 1i))*1i)/4 - (dilog((1 - 1i) - x*1i)*1i)/4","B"
22,0,-1,41,0.000000,"\text{Not used}","int(atan(a + b*x)/(d*x + (a*d)/b),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{d\,x+\frac{a\,d}{b}} \,d x","Not used",1,"int(atan(a + b*x)/(d*x + (a*d)/b), x)","F"
23,0,-1,21,0.000000,"\text{Not used}","int(atan(a + b*x)^(1/2)*(a + b*x)^2,x)","\int \sqrt{\mathrm{atan}\left(a+b\,x\right)}\,{\left(a+b\,x\right)}^2 \,d x","Not used",0,"int(atan(a + b*x)^(1/2)*(a + b*x)^2, x)","F"
24,1,787,233,1.018830,"\text{Not used}","int((e + f*x)^3*(a + b*atan(c + d*x)),x)","\mathrm{atan}\left(c+d\,x\right)\,\left(b\,e^3\,x+\frac{3\,b\,e^2\,f\,x^2}{2}+b\,e\,f^2\,x^3+\frac{b\,f^3\,x^4}{4}\right)+x\,\left(\frac{e\,\left(6\,a\,c^2\,f^2+12\,a\,c\,d\,e\,f+2\,a\,d^2\,e^2-3\,b\,d\,e\,f+6\,a\,f^2\right)}{2\,d^2}-\frac{\left(4\,c^2+4\right)\,\left(\frac{f^2\,\left(8\,a\,c\,f-b\,f+12\,a\,d\,e\right)}{4\,d}-\frac{2\,a\,c\,f^3}{d}\right)}{4\,d^2}+\frac{2\,c\,\left(\frac{2\,c\,\left(\frac{f^2\,\left(8\,a\,c\,f-b\,f+12\,a\,d\,e\right)}{4\,d}-\frac{2\,a\,c\,f^3}{d}\right)}{d}-\frac{4\,a\,c^2\,f^3+24\,a\,c\,d\,e\,f^2+12\,a\,d^2\,e^2\,f-4\,b\,d\,e\,f^2+4\,a\,f^3}{4\,d^2}+\frac{a\,f^3\,\left(4\,c^2+4\right)}{4\,d^2}\right)}{d}\right)-x^2\,\left(\frac{c\,\left(\frac{f^2\,\left(8\,a\,c\,f-b\,f+12\,a\,d\,e\right)}{4\,d}-\frac{2\,a\,c\,f^3}{d}\right)}{d}-\frac{4\,a\,c^2\,f^3+24\,a\,c\,d\,e\,f^2+12\,a\,d^2\,e^2\,f-4\,b\,d\,e\,f^2+4\,a\,f^3}{8\,d^2}+\frac{a\,f^3\,\left(4\,c^2+4\right)}{8\,d^2}\right)+x^3\,\left(\frac{f^2\,\left(8\,a\,c\,f-b\,f+12\,a\,d\,e\right)}{12\,d}-\frac{2\,a\,c\,f^3}{3\,d}\right)+\frac{a\,f^3\,x^4}{4}-\frac{\ln\left(c^2+2\,c\,d\,x+d^2\,x^2+1\right)\,\left(-64\,b\,c^3\,d^4\,f^3+192\,b\,c^2\,d^5\,e\,f^2-192\,b\,c\,d^6\,e^2\,f+64\,b\,c\,d^4\,f^3+64\,b\,d^7\,e^3-64\,b\,d^5\,e\,f^2\right)}{128\,d^8}-\frac{b\,\mathrm{atan}\left(\frac{4\,d^3\,\left(\frac{c\,\left(c^4\,f^3-4\,c^3\,d\,e\,f^2+6\,c^2\,d^2\,e^2\,f-6\,c^2\,f^3-4\,c\,d^3\,e^3+12\,c\,d\,e\,f^2-6\,d^2\,e^2\,f+f^3\right)}{4\,d^3}+\frac{x\,\left(c^4\,f^3-4\,c^3\,d\,e\,f^2+6\,c^2\,d^2\,e^2\,f-6\,c^2\,f^3-4\,c\,d^3\,e^3+12\,c\,d\,e\,f^2-6\,d^2\,e^2\,f+f^3\right)}{4\,d^2}\right)}{c^4\,f^3-4\,c^3\,d\,e\,f^2+6\,c^2\,d^2\,e^2\,f-6\,c^2\,f^3-4\,c\,d^3\,e^3+12\,c\,d\,e\,f^2-6\,d^2\,e^2\,f+f^3}\right)\,\left(c^4\,f^3-4\,c^3\,d\,e\,f^2+6\,c^2\,d^2\,e^2\,f-6\,c^2\,f^3-4\,c\,d^3\,e^3+12\,c\,d\,e\,f^2-6\,d^2\,e^2\,f+f^3\right)}{4\,d^4}","Not used",1,"atan(c + d*x)*((b*f^3*x^4)/4 + b*e^3*x + (3*b*e^2*f*x^2)/2 + b*e*f^2*x^3) + x*((e*(6*a*f^2 + 6*a*c^2*f^2 + 2*a*d^2*e^2 - 3*b*d*e*f + 12*a*c*d*e*f))/(2*d^2) - ((4*c^2 + 4)*((f^2*(8*a*c*f - b*f + 12*a*d*e))/(4*d) - (2*a*c*f^3)/d))/(4*d^2) + (2*c*((2*c*((f^2*(8*a*c*f - b*f + 12*a*d*e))/(4*d) - (2*a*c*f^3)/d))/d - (4*a*f^3 + 4*a*c^2*f^3 - 4*b*d*e*f^2 + 12*a*d^2*e^2*f + 24*a*c*d*e*f^2)/(4*d^2) + (a*f^3*(4*c^2 + 4))/(4*d^2)))/d) - x^2*((c*((f^2*(8*a*c*f - b*f + 12*a*d*e))/(4*d) - (2*a*c*f^3)/d))/d - (4*a*f^3 + 4*a*c^2*f^3 - 4*b*d*e*f^2 + 12*a*d^2*e^2*f + 24*a*c*d*e*f^2)/(8*d^2) + (a*f^3*(4*c^2 + 4))/(8*d^2)) + x^3*((f^2*(8*a*c*f - b*f + 12*a*d*e))/(12*d) - (2*a*c*f^3)/(3*d)) + (a*f^3*x^4)/4 - (log(c^2 + d^2*x^2 + 2*c*d*x + 1)*(64*b*d^7*e^3 - 64*b*c^3*d^4*f^3 + 64*b*c*d^4*f^3 - 64*b*d^5*e*f^2 - 192*b*c*d^6*e^2*f + 192*b*c^2*d^5*e*f^2))/(128*d^8) - (b*atan((4*d^3*((c*(f^3 - 6*c^2*f^3 + c^4*f^3 - 4*c*d^3*e^3 - 6*d^2*e^2*f + 6*c^2*d^2*e^2*f + 12*c*d*e*f^2 - 4*c^3*d*e*f^2))/(4*d^3) + (x*(f^3 - 6*c^2*f^3 + c^4*f^3 - 4*c*d^3*e^3 - 6*d^2*e^2*f + 6*c^2*d^2*e^2*f + 12*c*d*e*f^2 - 4*c^3*d*e*f^2))/(4*d^2)))/(f^3 - 6*c^2*f^3 + c^4*f^3 - 4*c*d^3*e^3 - 6*d^2*e^2*f + 6*c^2*d^2*e^2*f + 12*c*d*e*f^2 - 4*c^3*d*e*f^2))*(f^3 - 6*c^2*f^3 + c^4*f^3 - 4*c*d^3*e^3 - 6*d^2*e^2*f + 6*c^2*d^2*e^2*f + 12*c*d*e*f^2 - 4*c^3*d*e*f^2))/(4*d^4)","B"
25,1,411,155,0.782166,"\text{Not used}","int((e + f*x)^2*(a + b*atan(c + d*x)),x)","x^2\,\left(\frac{f\,\left(6\,a\,c\,f-b\,f+6\,a\,d\,e\right)}{6\,d}-\frac{a\,c\,f^2}{d}\right)-x\,\left(\frac{2\,c\,\left(\frac{f\,\left(6\,a\,c\,f-b\,f+6\,a\,d\,e\right)}{3\,d}-\frac{2\,a\,c\,f^2}{d}\right)}{d}-\frac{3\,a\,c^2\,f^2+12\,a\,c\,d\,e\,f+3\,a\,d^2\,e^2-3\,b\,d\,e\,f+3\,a\,f^2}{3\,d^2}+\frac{a\,f^2\,\left(3\,c^2+3\right)}{3\,d^2}\right)+\mathrm{atan}\left(c+d\,x\right)\,\left(b\,e^2\,x+b\,e\,f\,x^2+\frac{b\,f^2\,x^3}{3}\right)+\frac{a\,f^2\,x^3}{3}-\frac{\ln\left(c^2+2\,c\,d\,x+d^2\,x^2+1\right)\,\left(36\,b\,c^2\,d^3\,f^2-72\,b\,c\,d^4\,e\,f+36\,b\,d^5\,e^2-12\,b\,d^3\,f^2\right)}{72\,d^6}+\frac{b\,\mathrm{atan}\left(\frac{3\,d^2\,\left(\frac{c\,\left(c^3\,f^2-3\,c^2\,d\,e\,f+3\,c\,d^2\,e^2-3\,c\,f^2+3\,d\,e\,f\right)}{3\,d^2}+\frac{x\,\left(c^3\,f^2-3\,c^2\,d\,e\,f+3\,c\,d^2\,e^2-3\,c\,f^2+3\,d\,e\,f\right)}{3\,d}\right)}{c^3\,f^2-3\,c^2\,d\,e\,f+3\,c\,d^2\,e^2-3\,c\,f^2+3\,d\,e\,f}\right)\,\left(c^3\,f^2-3\,c^2\,d\,e\,f+3\,c\,d^2\,e^2-3\,c\,f^2+3\,d\,e\,f\right)}{3\,d^3}","Not used",1,"x^2*((f*(6*a*c*f - b*f + 6*a*d*e))/(6*d) - (a*c*f^2)/d) - x*((2*c*((f*(6*a*c*f - b*f + 6*a*d*e))/(3*d) - (2*a*c*f^2)/d))/d - (3*a*f^2 + 3*a*c^2*f^2 + 3*a*d^2*e^2 - 3*b*d*e*f + 12*a*c*d*e*f)/(3*d^2) + (a*f^2*(3*c^2 + 3))/(3*d^2)) + atan(c + d*x)*((b*f^2*x^3)/3 + b*e^2*x + b*e*f*x^2) + (a*f^2*x^3)/3 - (log(c^2 + d^2*x^2 + 2*c*d*x + 1)*(36*b*d^5*e^2 - 12*b*d^3*f^2 + 36*b*c^2*d^3*f^2 - 72*b*c*d^4*e*f))/(72*d^6) + (b*atan((3*d^2*((c*(c^3*f^2 - 3*c*f^2 + 3*c*d^2*e^2 + 3*d*e*f - 3*c^2*d*e*f))/(3*d^2) + (x*(c^3*f^2 - 3*c*f^2 + 3*c*d^2*e^2 + 3*d*e*f - 3*c^2*d*e*f))/(3*d)))/(c^3*f^2 - 3*c*f^2 + 3*c*d^2*e^2 + 3*d*e*f - 3*c^2*d*e*f))*(c^3*f^2 - 3*c*f^2 + 3*c*d^2*e^2 + 3*d*e*f - 3*c^2*d*e*f))/(3*d^3)","B"
26,1,136,97,1.804257,"\text{Not used}","int((e + f*x)*(a + b*atan(c + d*x)),x)","a\,e\,x+\frac{a\,f\,x^2}{2}-\frac{b\,e\,\ln\left(c^2+2\,c\,d\,x+d^2\,x^2+1\right)}{2\,d}+\frac{b\,f\,\mathrm{atan}\left(c+d\,x\right)}{2\,d^2}+\frac{b\,f\,x^2\,\mathrm{atan}\left(c+d\,x\right)}{2}-\frac{b\,f\,x}{2\,d}+b\,e\,x\,\mathrm{atan}\left(c+d\,x\right)-\frac{b\,c^2\,f\,\mathrm{atan}\left(c+d\,x\right)}{2\,d^2}+\frac{b\,c\,f\,\ln\left(c^2+2\,c\,d\,x+d^2\,x^2+1\right)}{2\,d^2}+\frac{b\,c\,e\,\mathrm{atan}\left(c+d\,x\right)}{d}","Not used",1,"a*e*x + (a*f*x^2)/2 - (b*e*log(c^2 + d^2*x^2 + 2*c*d*x + 1))/(2*d) + (b*f*atan(c + d*x))/(2*d^2) + (b*f*x^2*atan(c + d*x))/2 - (b*f*x)/(2*d) + b*e*x*atan(c + d*x) - (b*c^2*f*atan(c + d*x))/(2*d^2) + (b*c*f*log(c^2 + d^2*x^2 + 2*c*d*x + 1))/(2*d^2) + (b*c*e*atan(c + d*x))/d","B"
27,1,49,38,1.102571,"\text{Not used}","int(a + b*atan(c + d*x),x)","a\,x+b\,x\,\mathrm{atan}\left(c+d\,x\right)-\frac{b\,\ln\left(c^2+2\,c\,d\,x+d^2\,x^2+1\right)}{2\,d}+\frac{b\,c\,\mathrm{atan}\left(c+d\,x\right)}{d}","Not used",1,"a*x + b*x*atan(c + d*x) - (b*log(c^2 + d^2*x^2 + 2*c*d*x + 1))/(2*d) + (b*c*atan(c + d*x))/d","B"
28,0,-1,162,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))/(e + f*x),x)","\int \frac{a+b\,\mathrm{atan}\left(c+d\,x\right)}{e+f\,x} \,d x","Not used",1,"int((a + b*atan(c + d*x))/(e + f*x), x)","F"
29,1,127,151,1.828521,"\text{Not used}","int((a + b*atan(c + d*x))/(e + f*x)^2,x)","\frac{b\,d\,\ln\left(e+f\,x\right)}{d^2\,e^2-2\,c\,d\,e\,f+\left(c^2+1\right)\,f^2}-\frac{b\,\mathrm{atan}\left(c+d\,x\right)}{f\,\left(e+f\,x\right)}-\frac{a}{x\,f^2+e\,f}-\frac{b\,d\,\ln\left(c+d\,x-\mathrm{i}\right)\,1{}\mathrm{i}}{2\,f\,\left(d\,e-c\,f+f\,1{}\mathrm{i}\right)}-\frac{b\,d\,\ln\left(c+d\,x+1{}\mathrm{i}\right)}{2\,f\,\left(f-c\,f\,1{}\mathrm{i}+d\,e\,1{}\mathrm{i}\right)}","Not used",1,"(b*d*log(e + f*x))/(f^2*(c^2 + 1) + d^2*e^2 - 2*c*d*e*f) - (b*atan(c + d*x))/(f*(e + f*x)) - a/(e*f + f^2*x) - (b*d*log(c + d*x - 1i)*1i)/(2*f*(f*1i - c*f + d*e)) - (b*d*log(c + d*x + 1i))/(2*f*(f - c*f*1i + d*e*1i))","B"
30,1,399,227,7.534010,"\text{Not used}","int((a + b*atan(c + d*x))/(e + f*x)^3,x)","\frac{b\,d^3\,e\,\ln\left(e+f\,x\right)}{{\left(c^2\,f^2-2\,c\,d\,e\,f+d^2\,e^2+f^2\right)}^2}-\frac{a\,f}{2\,{\left(e+f\,x\right)}^2\,\left(c^2\,f^2-2\,c\,d\,e\,f+d^2\,e^2+f^2\right)}-\frac{b\,d\,e}{2\,{\left(e+f\,x\right)}^2\,\left(c^2\,f^2-2\,c\,d\,e\,f+d^2\,e^2+f^2\right)}-\frac{a\,c^2\,f}{2\,{\left(e+f\,x\right)}^2\,\left(c^2\,f^2-2\,c\,d\,e\,f+d^2\,e^2+f^2\right)}-\frac{b\,\mathrm{atan}\left(c+d\,x\right)}{2\,f\,{\left(e+f\,x\right)}^2}-\frac{b\,c\,d^2\,f\,\ln\left(e+f\,x\right)}{{\left(c^2\,f^2-2\,c\,d\,e\,f+d^2\,e^2+f^2\right)}^2}+\frac{a\,c\,d\,e}{{\left(e+f\,x\right)}^2\,\left(c^2\,f^2-2\,c\,d\,e\,f+d^2\,e^2+f^2\right)}-\frac{b\,d\,f\,x}{2\,{\left(e+f\,x\right)}^2\,\left(c^2\,f^2-2\,c\,d\,e\,f+d^2\,e^2+f^2\right)}-\frac{a\,d^2\,e^2}{2\,f\,{\left(e+f\,x\right)}^2\,\left(c^2\,f^2-2\,c\,d\,e\,f+d^2\,e^2+f^2\right)}-\frac{b\,d^2\,\ln\left(c+d\,x-\mathrm{i}\right)\,1{}\mathrm{i}}{4\,f\,{\left(d\,e-c\,f+f\,1{}\mathrm{i}\right)}^2}+\frac{b\,d^2\,\ln\left(c+d\,x+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4\,f\,{\left(c\,f-d\,e+f\,1{}\mathrm{i}\right)}^2}","Not used",1,"(b*d^2*log(c + d*x + 1i)*1i)/(4*f*(f*1i + c*f - d*e)^2) - (a*f)/(2*(e + f*x)^2*(f^2 + c^2*f^2 + d^2*e^2 - 2*c*d*e*f)) - (b*d*e)/(2*(e + f*x)^2*(f^2 + c^2*f^2 + d^2*e^2 - 2*c*d*e*f)) - (b*d^2*log(c + d*x - 1i)*1i)/(4*f*(f*1i - c*f + d*e)^2) - (b*atan(c + d*x))/(2*f*(e + f*x)^2) - (a*c^2*f)/(2*(e + f*x)^2*(f^2 + c^2*f^2 + d^2*e^2 - 2*c*d*e*f)) + (b*d^3*e*log(e + f*x))/(f^2 + c^2*f^2 + d^2*e^2 - 2*c*d*e*f)^2 - (b*c*d^2*f*log(e + f*x))/(f^2 + c^2*f^2 + d^2*e^2 - 2*c*d*e*f)^2 + (a*c*d*e)/((e + f*x)^2*(f^2 + c^2*f^2 + d^2*e^2 - 2*c*d*e*f)) - (b*d*f*x)/(2*(e + f*x)^2*(f^2 + c^2*f^2 + d^2*e^2 - 2*c*d*e*f)) - (a*d^2*e^2)/(2*f*(e + f*x)^2*(f^2 + c^2*f^2 + d^2*e^2 - 2*c*d*e*f))","B"
31,0,-1,382,0.000000,"\text{Not used}","int((e + f*x)^2*(a + b*atan(c + d*x))^2,x)","\int {\left(e+f\,x\right)}^2\,{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((e + f*x)^2*(a + b*atan(c + d*x))^2, x)","F"
32,0,-1,222,0.000000,"\text{Not used}","int((e + f*x)*(a + b*atan(c + d*x))^2,x)","\int \left(e+f\,x\right)\,{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((e + f*x)*(a + b*atan(c + d*x))^2, x)","F"
33,0,-1,102,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))^2,x)","\int {\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^2 \,d x","Not used",1,"int((a + b*atan(c + d*x))^2, x)","F"
34,0,-1,261,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))^2/(e + f*x),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^2}{e+f\,x} \,d x","Not used",1,"int((a + b*atan(c + d*x))^2/(e + f*x), x)","F"
35,0,-1,568,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))^2/(e + f*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^2}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b*atan(c + d*x))^2/(e + f*x)^2, x)","F"
36,0,-1,564,0.000000,"\text{Not used}","int((e + f*x)^2*(a + b*atan(c + d*x))^3,x)","\int {\left(e+f\,x\right)}^2\,{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((e + f*x)^2*(a + b*atan(c + d*x))^3, x)","F"
37,0,-1,337,0.000000,"\text{Not used}","int((e + f*x)*(a + b*atan(c + d*x))^3,x)","\int \left(e+f\,x\right)\,{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((e + f*x)*(a + b*atan(c + d*x))^3, x)","F"
38,0,-1,143,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))^3,x)","\int {\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^3 \,d x","Not used",1,"int((a + b*atan(c + d*x))^3, x)","F"
39,0,-1,372,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))^3/(e + f*x),x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^3}{e+f\,x} \,d x","Not used",1,"int((a + b*atan(c + d*x))^3/(e + f*x), x)","F"
40,0,-1,1233,0.000000,"\text{Not used}","int((a + b*atan(c + d*x))^3/(e + f*x)^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^3}{{\left(e+f\,x\right)}^2} \,d x","Not used",1,"int((a + b*atan(c + d*x))^3/(e + f*x)^2, x)","F"
41,0,-1,177,0.000000,"\text{Not used}","int((e + f*x)^m*(a + b*atan(c + d*x)),x)","\int {\left(e+f\,x\right)}^m\,\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right) \,d x","Not used",1,"int((e + f*x)^m*(a + b*atan(c + d*x)), x)","F"
42,0,-1,23,0.000000,"\text{Not used}","int((e + f*x)^m*(a + b*atan(c + d*x))^2,x)","\int {\left(e+f\,x\right)}^m\,{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^2 \,d x","Not used",0,"int((e + f*x)^m*(a + b*atan(c + d*x))^2, x)","F"
43,0,-1,23,0.000000,"\text{Not used}","int((e + f*x)^m*(a + b*atan(c + d*x))^3,x)","\int {\left(e+f\,x\right)}^m\,{\left(a+b\,\mathrm{atan}\left(c+d\,x\right)\right)}^3 \,d x","Not used",0,"int((e + f*x)^m*(a + b*atan(c + d*x))^3, x)","F"
44,1,133,106,0.593624,"\text{Not used}","int(x^3*atan(a + b*x),x)","\frac{x^4\,\mathrm{atan}\left(a+b\,x\right)}{4}-\frac{\mathrm{atan}\left(a+b\,x\right)}{4\,b^4}+\frac{x}{4\,b^3}-\frac{x^3}{12\,b}+\frac{a^3\,\ln\left(a^2+2\,a\,b\,x+b^2\,x^2+1\right)}{2\,b^4}+\frac{3\,a^2\,\mathrm{atan}\left(a+b\,x\right)}{2\,b^4}-\frac{a^4\,\mathrm{atan}\left(a+b\,x\right)}{4\,b^4}+\frac{a\,x^2}{4\,b^2}-\frac{3\,a^2\,x}{4\,b^3}-\frac{a\,\ln\left(a^2+2\,a\,b\,x+b^2\,x^2+1\right)}{2\,b^4}","Not used",1,"(x^4*atan(a + b*x))/4 - atan(a + b*x)/(4*b^4) + x/(4*b^3) - x^3/(12*b) + (a^3*log(a^2 + b^2*x^2 + 2*a*b*x + 1))/(2*b^4) + (3*a^2*atan(a + b*x))/(2*b^4) - (a^4*atan(a + b*x))/(4*b^4) + (a*x^2)/(4*b^2) - (3*a^2*x)/(4*b^3) - (a*log(a^2 + b^2*x^2 + 2*a*b*x + 1))/(2*b^4)","B"
45,1,102,79,0.860352,"\text{Not used}","int(x^2*atan(a + b*x),x)","\frac{\ln\left(a^2+2\,a\,b\,x+b^2\,x^2+1\right)}{6\,b^3}+\frac{x^3\,\mathrm{atan}\left(a+b\,x\right)}{3}-\frac{x^2}{6\,b}-\frac{a^2\,\ln\left(a^2+2\,a\,b\,x+b^2\,x^2+1\right)}{2\,b^3}+\frac{a^3\,\mathrm{atan}\left(a+b\,x\right)}{3\,b^3}-\frac{a\,\mathrm{atan}\left(a+b\,x\right)}{b^3}+\frac{2\,a\,x}{3\,b^2}","Not used",1,"log(a^2 + b^2*x^2 + 2*a*b*x + 1)/(6*b^3) + (x^3*atan(a + b*x))/3 - x^2/(6*b) - (a^2*log(a^2 + b^2*x^2 + 2*a*b*x + 1))/(2*b^3) + (a^3*atan(a + b*x))/(3*b^3) - (a*atan(a + b*x))/b^3 + (2*a*x)/(3*b^2)","B"
46,1,61,60,0.969645,"\text{Not used}","int(x*atan(a + b*x),x)","\frac{x^2\,\mathrm{atan}\left(a+b\,x\right)}{2}+\frac{\frac{\mathrm{atan}\left(a+b\,x\right)}{2}-\frac{b\,x}{2}-\frac{a^2\,\mathrm{atan}\left(a+b\,x\right)}{2}+\frac{a\,\ln\left(a^2+2\,a\,b\,x+b^2\,x^2+1\right)}{2}}{b^2}","Not used",1,"(x^2*atan(a + b*x))/2 + (atan(a + b*x)/2 - (b*x)/2 - (a^2*atan(a + b*x))/2 + (a*log(a^2 + b^2*x^2 + 2*a*b*x + 1))/2)/b^2","B"
47,1,42,33,0.446113,"\text{Not used}","int(atan(a + b*x),x)","x\,\mathrm{atan}\left(a+b\,x\right)-\frac{\ln\left(a^2+2\,a\,b\,x+b^2\,x^2+1\right)-2\,a\,\mathrm{atan}\left(a+b\,x\right)}{2\,b}","Not used",1,"x*atan(a + b*x) - (log(a^2 + b^2*x^2 + 2*a*b*x + 1) - 2*a*atan(a + b*x))/(2*b)","B"
48,0,-1,120,0.000000,"\text{Not used}","int(atan(a + b*x)/x,x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{x} \,d x","Not used",1,"int(atan(a + b*x)/x, x)","F"
49,1,63,62,1.041677,"\text{Not used}","int(atan(a + b*x)/x^2,x)","-\frac{\mathrm{atan}\left(a+b\,x\right)}{x}-\frac{\frac{b\,x\,\ln\left(a^2+2\,a\,b\,x+b^2\,x^2+1\right)}{2}-b\,x\,\ln\left(x\right)+a\,b\,x\,\mathrm{atan}\left(a+b\,x\right)}{x\,\left(a^2+1\right)}","Not used",1,"- atan(a + b*x)/x - ((b*x*log(a^2 + b^2*x^2 + 2*a*b*x + 1))/2 - b*x*log(x) + a*b*x*atan(a + b*x))/(x*(a^2 + 1))","B"
50,1,232,96,1.219825,"\text{Not used}","int(atan(a + b*x)/x^3,x)","\frac{a\,b^2\,\ln\left(a^2+2\,a\,b\,x+b^2\,x^2+1\right)}{2\,{\left(a^2+1\right)}^2}-\frac{\frac{b\,x}{2}+\mathrm{atan}\left(a+b\,x\right)\,\left(\frac{a^2}{2}+\frac{1}{2}\right)+\frac{b^2\,x^2\,\mathrm{atan}\left(a+b\,x\right)}{2}+\frac{x^3\,\left(b^3-3\,a^2\,b^3\right)}{2\,\left(a^4+2\,a^2+1\right)}-\frac{a\,b^4\,x^4}{{\left(a^2+1\right)}^2}+a\,b\,x\,\mathrm{atan}\left(a+b\,x\right)}{a^2\,x^2+2\,a\,b\,x^3+b^2\,x^4+x^2}-\frac{\mathrm{atan}\left(\frac{2\,x\,b^2+2\,a\,b}{2\,\sqrt{b^2\,\left(a^2+1\right)-a^2\,b^2}}\right)\,\left(b^3-a^2\,b^3\right)}{\sqrt{b^2}\,\left(2\,a^4+4\,a^2+2\right)}-\frac{a\,b^2\,\ln\left(x\right)}{{\left(a^2+1\right)}^2}","Not used",1,"(a*b^2*log(a^2 + b^2*x^2 + 2*a*b*x + 1))/(2*(a^2 + 1)^2) - ((b*x)/2 + atan(a + b*x)*(a^2/2 + 1/2) + (b^2*x^2*atan(a + b*x))/2 + (x^3*(b^3 - 3*a^2*b^3))/(2*(2*a^2 + a^4 + 1)) - (a*b^4*x^4)/(a^2 + 1)^2 + a*b*x*atan(a + b*x))/(x^2 + a^2*x^2 + b^2*x^4 + 2*a*b*x^3) - (atan((2*a*b + 2*b^2*x)/(2*(b^2*(a^2 + 1) - a^2*b^2)^(1/2)))*(b^3 - a^2*b^3))/((b^2)^(1/2)*(4*a^2 + 2*a^4 + 2)) - (a*b^2*log(x))/(a^2 + 1)^2","B"
51,1,288,129,1.047509,"\text{Not used}","int(atan(a + b*x)/x^4,x)","-\frac{\frac{b\,x}{6}+\mathrm{atan}\left(a+b\,x\right)\,\left(\frac{a^2}{3}+\frac{1}{3}\right)+\frac{b^2\,x^2\,\mathrm{atan}\left(a+b\,x\right)}{3}+\frac{x^3\,\left(b^3-7\,a^2\,b^3\right)}{6\,\left(a^4+2\,a^2+1\right)}-\frac{a\,b^2\,x^2}{3\,\left(a^2+1\right)}-\frac{2\,a\,b^4\,x^4}{3\,{\left(a^2+1\right)}^2}+\frac{2\,a\,b\,x\,\mathrm{atan}\left(a+b\,x\right)}{3}}{a^2\,x^3+2\,a\,b\,x^4+b^2\,x^5+x^3}-\frac{\ln\left(x\right)\,\left(\frac{b^3}{3}-a^2\,b^3\right)}{a^6+3\,a^4+3\,a^2+1}-\frac{b^3\,\ln\left(a^2+2\,a\,b\,x+b^2\,x^2+1\right)\,\left(3\,a^2-1\right)}{6\,\left(a^6+3\,a^4+3\,a^2+1\right)}-\frac{a\,\mathrm{atan}\left(\frac{2\,x\,b^2+2\,a\,b}{2\,\sqrt{b^2\,\left(a^2+1\right)-a^2\,b^2}}\right)\,\left(a^2-3\right)\,{\left(b^2\right)}^{3/2}}{3\,\left(a^6+3\,a^4+3\,a^2+1\right)}","Not used",1,"- ((b*x)/6 + atan(a + b*x)*(a^2/3 + 1/3) + (b^2*x^2*atan(a + b*x))/3 + (x^3*(b^3 - 7*a^2*b^3))/(6*(2*a^2 + a^4 + 1)) - (a*b^2*x^2)/(3*(a^2 + 1)) - (2*a*b^4*x^4)/(3*(a^2 + 1)^2) + (2*a*b*x*atan(a + b*x))/3)/(x^3 + a^2*x^3 + b^2*x^5 + 2*a*b*x^4) - (log(x)*(b^3/3 - a^2*b^3))/(3*a^2 + 3*a^4 + a^6 + 1) - (b^3*log(a^2 + b^2*x^2 + 2*a*b*x + 1)*(3*a^2 - 1))/(6*(3*a^2 + 3*a^4 + a^6 + 1)) - (a*atan((2*a*b + 2*b^2*x)/(2*(b^2*(a^2 + 1) - a^2*b^2)^(1/2)))*(a^2 - 3)*(b^2)^(3/2))/(3*(3*a^2 + 3*a^4 + a^6 + 1))","B"
52,0,-1,863,0.000000,"\text{Not used}","int(atan(a + b*x)/(c + d*x^3),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{d\,x^3+c} \,d x","Not used",1,"int(atan(a + b*x)/(c + d*x^3), x)","F"
53,0,-1,543,0.000000,"\text{Not used}","int(atan(a + b*x)/(c + d*x^2),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{d\,x^2+c} \,d x","Not used",1,"int(atan(a + b*x)/(c + d*x^2), x)","F"
54,0,-1,152,0.000000,"\text{Not used}","int(atan(a + b*x)/(c + d*x),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{c+d\,x} \,d x","Not used",1,"int(atan(a + b*x)/(c + d*x), x)","F"
55,0,-1,244,0.000000,"\text{Not used}","int(atan(a + b*x)/(c + d/x),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{c+\frac{d}{x}} \,d x","Not used",1,"int(atan(a + b*x)/(c + d/x), x)","F"
56,0,-1,668,0.000000,"\text{Not used}","int(atan(a + b*x)/(c + d/x^2),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{c+\frac{d}{x^2}} \,d x","Not used",1,"int(atan(a + b*x)/(c + d/x^2), x)","F"
57,0,-1,933,0.000000,"\text{Not used}","int(atan(a + b*x)/(c + d/x^3),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{c+\frac{d}{x^3}} \,d x","Not used",1,"int(atan(a + b*x)/(c + d/x^3), x)","F"
58,0,-1,673,0.000000,"\text{Not used}","int(atan(a + b*x)/(c + d*x^(1/2)),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{c+d\,\sqrt{x}} \,d x","Not used",1,"int(atan(a + b*x)/(c + d*x^(1/2)), x)","F"
59,0,-1,770,0.000000,"\text{Not used}","int(atan(a + b*x)/(c + d/x^(1/2)),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{c+\frac{d}{\sqrt{x}}} \,d x","Not used",1,"int(atan(a + b*x)/(c + d/x^(1/2)), x)","F"
60,0,-1,274,0.000000,"\text{Not used}","int(atan(a + b*x)/(x^2 + 1),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{x^2+1} \,d x","Not used",1,"int(atan(a + b*x)/(x^2 + 1), x)","F"
61,0,-1,543,0.000000,"\text{Not used}","int(atan(d + e*x)/(a + b*x^2),x)","\int \frac{\mathrm{atan}\left(d+e\,x\right)}{b\,x^2+a} \,d x","Not used",1,"int(atan(d + e*x)/(a + b*x^2), x)","F"
62,0,-1,367,0.000000,"\text{Not used}","int(atan(d + e*x)/(a + b*x + c*x^2),x)","\int \frac{\mathrm{atan}\left(d+e\,x\right)}{c\,x^2+b\,x+a} \,d x","Not used",1,"int(atan(d + e*x)/(a + b*x + c*x^2), x)","F"
63,0,-1,132,0.000000,"\text{Not used}","int(atan(a + b*x)/(a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/2),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2+1}} \,d x","Not used",1,"int(atan(a + b*x)/(a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/2), x)","F"
64,0,-1,216,0.000000,"\text{Not used}","int(atan(a + b*x)/(c*(a^2 + 1) + b^2*c*x^2 + 2*a*b*c*x)^(1/2),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{\sqrt{c\,b^2\,x^2+2\,a\,c\,b\,x+c\,\left(a^2+1\right)}} \,d x","Not used",1,"int(atan(a + b*x)/(c*(a^2 + 1) + b^2*c*x^2 + 2*a*b*c*x)^(1/2), x)","F"
65,0,-1,23,0.000000,"\text{Not used}","int(atan(a + b*x)/(a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/3),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{{\left(a^2+2\,a\,b\,x+b^2\,x^2+1\right)}^{1/3}} \,d x","Not used",0,"int(atan(a + b*x)/(a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/3), x)","F"
66,0,-1,25,0.000000,"\text{Not used}","int(atan(a + b*x)/(c*(a^2 + 1) + b^2*c*x^2 + 2*a*b*c*x)^(1/3),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)}{{\left(c\,b^2\,x^2+2\,a\,c\,b\,x+c\,\left(a^2+1\right)\right)}^{1/3}} \,d x","Not used",0,"int(atan(a + b*x)/(c*(a^2 + 1) + b^2*c*x^2 + 2*a*b*c*x)^(1/3), x)","F"
67,0,-1,187,0.000000,"\text{Not used}","int((atan(a + b*x)*(a + b*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/2),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)\,{\left(a+b\,x\right)}^2}{\sqrt{a^2+2\,a\,b\,x+b^2\,x^2+1}} \,d x","Not used",1,"int((atan(a + b*x)*(a + b*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/2), x)","F"
68,0,-1,281,0.000000,"\text{Not used}","int((atan(a + b*x)*(a + b*x)^2)/(c*(a^2 + 1) + b^2*c*x^2 + 2*a*b*c*x)^(1/2),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)\,{\left(a+b\,x\right)}^2}{\sqrt{c\,b^2\,x^2+2\,a\,c\,b\,x+c\,\left(a^2+1\right)}} \,d x","Not used",1,"int((atan(a + b*x)*(a + b*x)^2)/(c*(a^2 + 1) + b^2*c*x^2 + 2*a*b*c*x)^(1/2), x)","F"
69,0,-1,30,0.000000,"\text{Not used}","int((atan(a + b*x)*(a + b*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/3),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)\,{\left(a+b\,x\right)}^2}{{\left(a^2+2\,a\,b\,x+b^2\,x^2+1\right)}^{1/3}} \,d x","Not used",0,"int((atan(a + b*x)*(a + b*x)^2)/(a^2 + b^2*x^2 + 2*a*b*x + 1)^(1/3), x)","F"
70,0,-1,32,0.000000,"\text{Not used}","int((atan(a + b*x)*(a + b*x)^2)/(c*(a^2 + 1) + b^2*c*x^2 + 2*a*b*c*x)^(1/3),x)","\int \frac{\mathrm{atan}\left(a+b\,x\right)\,{\left(a+b\,x\right)}^2}{{\left(c\,b^2\,x^2+2\,a\,c\,b\,x+c\,\left(a^2+1\right)\right)}^{1/3}} \,d x","Not used",0,"int((atan(a + b*x)*(a + b*x)^2)/(c*(a^2 + 1) + b^2*c*x^2 + 2*a*b*c*x)^(1/3), x)","F"