1,1,52,59,0.441920,"\text{Not used}","int(x^5*(a + b*atan(c*x)),x)","\frac{\frac{b\,\mathrm{atan}\left(c\,x\right)}{6}+\frac{b\,c^3\,x^3}{18}-\frac{b\,c^5\,x^5}{30}-\frac{b\,c\,x}{6}}{c^6}+\frac{a\,x^6}{6}+\frac{b\,x^6\,\mathrm{atan}\left(c\,x\right)}{6}","Not used",1,"((b*atan(c*x))/6 + (b*c^3*x^3)/18 - (b*c^5*x^5)/30 - (b*c*x)/6)/c^6 + (a*x^6)/6 + (b*x^6*atan(c*x))/6","B"
2,1,54,56,0.416891,"\text{Not used}","int(x^4*(a + b*atan(c*x)),x)","\frac{a\,x^5}{5}-\frac{\frac{b\,\ln\left(c^2\,x^2+1\right)}{10}-\frac{b\,c^2\,x^2}{10}+\frac{b\,c^4\,x^4}{20}}{c^5}+\frac{b\,x^5\,\mathrm{atan}\left(c\,x\right)}{5}","Not used",1,"(a*x^5)/5 - ((b*log(c^2*x^2 + 1))/10 - (b*c^2*x^2)/10 + (b*c^4*x^4)/20)/c^5 + (b*x^5*atan(c*x))/5","B"
3,1,44,48,0.209699,"\text{Not used}","int(x^3*(a + b*atan(c*x)),x)","\frac{a\,x^4}{4}-\frac{\frac{b\,\mathrm{atan}\left(c\,x\right)}{4}+\frac{b\,c^3\,x^3}{12}-\frac{b\,c\,x}{4}}{c^4}+\frac{b\,x^4\,\mathrm{atan}\left(c\,x\right)}{4}","Not used",1,"(a*x^4)/4 - ((b*atan(c*x))/4 + (b*c^3*x^3)/12 - (b*c*x)/4)/c^4 + (b*x^4*atan(c*x))/4","B"
4,1,42,45,0.370315,"\text{Not used}","int(x^2*(a + b*atan(c*x)),x)","\frac{a\,x^3}{3}+\frac{b\,x^3\,\mathrm{atan}\left(c\,x\right)}{3}+\frac{b\,\ln\left(c^2\,x^2+1\right)}{6\,c^3}-\frac{b\,x^2}{6\,c}","Not used",1,"(a*x^3)/3 + (b*x^3*atan(c*x))/3 + (b*log(c^2*x^2 + 1))/(6*c^3) - (b*x^2)/(6*c)","B"
5,1,34,37,0.122763,"\text{Not used}","int(x*(a + b*atan(c*x)),x)","\frac{a\,x^2}{2}+\frac{b\,\mathrm{atan}\left(c\,x\right)}{2\,c^2}+\frac{b\,x^2\,\mathrm{atan}\left(c\,x\right)}{2}-\frac{b\,x}{2\,c}","Not used",1,"(a*x^2)/2 + (b*atan(c*x))/(2*c^2) + (b*x^2*atan(c*x))/2 - (b*x)/(2*c)","B"
6,1,27,29,0.098331,"\text{Not used}","int(a + b*atan(c*x),x)","a\,x-\frac{b\,\ln\left(c^2\,x^2+1\right)}{2\,c}+b\,x\,\mathrm{atan}\left(c\,x\right)","Not used",1,"a*x - (b*log(c^2*x^2 + 1))/(2*c) + b*x*atan(c*x)","B"
7,1,28,35,0.286954,"\text{Not used}","int((a + b*atan(c*x))/x,x)","a\,\ln\left(x\right)-\frac{b\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x\,1{}\mathrm{i}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1+c\,x\,1{}\mathrm{i}\right)\right)\,1{}\mathrm{i}}{2}","Not used",1,"a*log(x) - (b*(dilog(1 - c*x*1i) - dilog(c*x*1i + 1))*1i)/2","B"
8,1,36,35,0.319052,"\text{Not used}","int((a + b*atan(c*x))/x^2,x)","b\,c\,\ln\left(x\right)-\frac{a}{x}-\frac{b\,\mathrm{atan}\left(c\,x\right)}{x}-\frac{b\,c\,\ln\left(c^2\,x^2+1\right)}{2}","Not used",1,"b*c*log(x) - a/x - (b*atan(c*x))/x - (b*c*log(c^2*x^2 + 1))/2","B"
9,1,42,37,0.332245,"\text{Not used}","int((a + b*atan(c*x))/x^3,x)","-\frac{\frac{a}{2}+\frac{b\,\mathrm{atan}\left(c\,x\right)}{2}+\frac{b\,c\,x}{2}}{x^2}-\frac{b\,c\,\mathrm{atan}\left(\frac{c^2\,x}{\sqrt{c^2}}\right)\,\sqrt{c^2}}{2}","Not used",1,"- (a/2 + (b*atan(c*x))/2 + (b*c*x)/2)/x^2 - (b*c*atan((c^2*x)/(c^2)^(1/2))*(c^2)^(1/2))/2","B"
10,1,46,53,0.118617,"\text{Not used}","int((a + b*atan(c*x))/x^4,x)","\frac{b\,c^3\,\ln\left(c^2\,x^2+1\right)}{6}-\frac{\frac{a}{3}+\frac{b\,\mathrm{atan}\left(c\,x\right)}{3}+\frac{b\,c\,x}{6}}{x^3}-\frac{b\,c^3\,\ln\left(x\right)}{3}","Not used",1,"(b*c^3*log(c^2*x^2 + 1))/6 - (a/3 + (b*atan(c*x))/3 + (b*c*x)/6)/x^3 - (b*c^3*log(x))/3","B"
11,1,42,48,0.363391,"\text{Not used}","int((a + b*atan(c*x))/x^5,x)","\frac{b\,c^4\,\mathrm{atan}\left(c\,x\right)}{4}-\frac{-b\,c^3\,x^3+\frac{b\,c\,x}{3}+a}{4\,x^4}-\frac{b\,\mathrm{atan}\left(c\,x\right)}{4\,x^4}","Not used",1,"(b*c^4*atan(c*x))/4 - (a - b*c^3*x^3 + (b*c*x)/3)/(4*x^4) - (b*atan(c*x))/(4*x^4)","B"
12,1,56,64,0.371375,"\text{Not used}","int((a + b*atan(c*x))/x^6,x)","\frac{b\,c^5\,\ln\left(x\right)}{5}-\frac{b\,\mathrm{atan}\left(c\,x\right)}{5\,x^5}-\frac{b\,c^5\,\ln\left(c^2\,x^2+1\right)}{10}-\frac{-\frac{b\,c^3\,x^3}{2}+\frac{b\,c\,x}{4}+a}{5\,x^5}","Not used",1,"(b*c^5*log(x))/5 - (b*atan(c*x))/(5*x^5) - (b*c^5*log(c^2*x^2 + 1))/10 - (a - (b*c^3*x^3)/2 + (b*c*x)/4)/(5*x^5)","B"
13,1,171,144,0.666826,"\text{Not used}","int(x^5*(a + b*atan(c*x))^2,x)","\frac{30\,b^2\,{\mathrm{atan}\left(c\,x\right)}^2+46\,b^2\,\ln\left(c^2\,x^2+1\right)+30\,a^2\,c^6\,x^6-16\,b^2\,c^2\,x^2+3\,b^2\,c^4\,x^4+60\,a\,b\,\mathrm{atan}\left(c\,x\right)+20\,b^2\,c^3\,x^3\,\mathrm{atan}\left(c\,x\right)-12\,b^2\,c^5\,x^5\,\mathrm{atan}\left(c\,x\right)-60\,b^2\,c\,x\,\mathrm{atan}\left(c\,x\right)+30\,b^2\,c^6\,x^6\,{\mathrm{atan}\left(c\,x\right)}^2+20\,a\,b\,c^3\,x^3-12\,a\,b\,c^5\,x^5-60\,a\,b\,c\,x+60\,a\,b\,c^6\,x^6\,\mathrm{atan}\left(c\,x\right)}{180\,c^6}","Not used",1,"(30*b^2*atan(c*x)^2 + 46*b^2*log(c^2*x^2 + 1) + 30*a^2*c^6*x^6 - 16*b^2*c^2*x^2 + 3*b^2*c^4*x^4 + 60*a*b*atan(c*x) + 20*b^2*c^3*x^3*atan(c*x) - 12*b^2*c^5*x^5*atan(c*x) - 60*b^2*c*x*atan(c*x) + 30*b^2*c^6*x^6*atan(c*x)^2 + 20*a*b*c^3*x^3 - 12*a*b*c^5*x^5 - 60*a*b*c*x + 60*a*b*c^6*x^6*atan(c*x))/(180*c^6)","B"
14,0,-1,170,0.000000,"\text{Not used}","int(x^4*(a + b*atan(c*x))^2,x)","\int x^4\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2 \,d x","Not used",1,"int(x^4*(a + b*atan(c*x))^2, x)","F"
15,1,134,112,0.316500,"\text{Not used}","int(x^3*(a + b*atan(c*x))^2,x)","\frac{3\,a^2\,c^4\,x^4-4\,b^2\,\ln\left(c^2\,x^2+1\right)-3\,b^2\,{\mathrm{atan}\left(c\,x\right)}^2+b^2\,c^2\,x^2-6\,a\,b\,\mathrm{atan}\left(c\,x\right)-2\,b^2\,c^3\,x^3\,\mathrm{atan}\left(c\,x\right)+6\,b^2\,c\,x\,\mathrm{atan}\left(c\,x\right)+3\,b^2\,c^4\,x^4\,{\mathrm{atan}\left(c\,x\right)}^2-2\,a\,b\,c^3\,x^3+6\,a\,b\,c\,x+6\,a\,b\,c^4\,x^4\,\mathrm{atan}\left(c\,x\right)}{12\,c^4}","Not used",1,"(3*a^2*c^4*x^4 - 4*b^2*log(c^2*x^2 + 1) - 3*b^2*atan(c*x)^2 + b^2*c^2*x^2 - 6*a*b*atan(c*x) - 2*b^2*c^3*x^3*atan(c*x) + 6*b^2*c*x*atan(c*x) + 3*b^2*c^4*x^4*atan(c*x)^2 - 2*a*b*c^3*x^3 + 6*a*b*c*x + 6*a*b*c^4*x^4*atan(c*x))/(12*c^4)","B"
16,0,-1,138,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c*x))^2,x)","\int x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*atan(c*x))^2, x)","F"
17,1,88,76,0.410430,"\text{Not used}","int(x*(a + b*atan(c*x))^2,x)","\frac{\frac{b^2\,{\mathrm{atan}\left(c\,x\right)}^2}{2}+\frac{b^2\,\ln\left(c^2\,x^2+1\right)}{2}-c\,\left(x\,\mathrm{atan}\left(c\,x\right)\,b^2+a\,x\,b\right)+a\,b\,\mathrm{atan}\left(c\,x\right)}{c^2}+\frac{a^2\,x^2}{2}+\frac{b^2\,x^2\,{\mathrm{atan}\left(c\,x\right)}^2}{2}+a\,b\,x^2\,\mathrm{atan}\left(c\,x\right)","Not used",1,"((b^2*atan(c*x)^2)/2 + (b^2*log(c^2*x^2 + 1))/2 - c*(b^2*x*atan(c*x) + a*b*x) + a*b*atan(c*x))/c^2 + (a^2*x^2)/2 + (b^2*x^2*atan(c*x)^2)/2 + a*b*x^2*atan(c*x)","B"
18,0,-1,83,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2,x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2 \,d x","Not used",1,"int((a + b*atan(c*x))^2, x)","F"
19,0,-1,132,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/x,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*atan(c*x))^2/x, x)","F"
20,0,-1,82,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x^2} \,d x","Not used",1,"int((a + b*atan(c*x))^2/x^2, x)","F"
21,1,140,79,2.310351,"\text{Not used}","int((a + b*atan(c*x))^2/x^3,x)","b^2\,c^2\,\ln\left(x\right)-\frac{a^2}{2\,x^2}-\frac{b^2\,c^2\,{\mathrm{atan}\left(c\,x\right)}^2}{2}-\frac{b^2\,c^2\,\ln\left(c\,x+1{}\mathrm{i}\right)}{2}-\frac{b^2\,c^2\,\ln\left(1+c\,x\,1{}\mathrm{i}\right)}{2}-\frac{b^2\,{\mathrm{atan}\left(c\,x\right)}^2}{2\,x^2}-\frac{a\,b\,c}{x}-\frac{a\,b\,\mathrm{atan}\left(c\,x\right)}{x^2}-\frac{b^2\,c\,\mathrm{atan}\left(c\,x\right)}{x}-\frac{a\,b\,c^2\,\ln\left(c\,x+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}+\frac{a\,b\,c^2\,\ln\left(1+c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"b^2*c^2*log(x) - a^2/(2*x^2) - (b^2*c^2*atan(c*x)^2)/2 - (b^2*c^2*log(c*x + 1i))/2 - (b^2*c^2*log(c*x*1i + 1))/2 - (b^2*atan(c*x)^2)/(2*x^2) - (a*b*c)/x - (a*b*atan(c*x))/x^2 - (a*b*c^2*log(c*x + 1i)*1i)/2 + (a*b*c^2*log(c*x*1i + 1)*1i)/2 - (b^2*c*atan(c*x))/x","B"
22,0,-1,140,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2/x^4,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2}{x^4} \,d x","Not used",1,"int((a + b*atan(c*x))^2/x^4, x)","F"
23,1,171,116,2.257074,"\text{Not used}","int((a + b*atan(c*x))^2/x^5,x)","\frac{b^2\,c^4\,{\mathrm{atan}\left(c\,x\right)}^2}{4}-\frac{2\,b^2\,c^4\,\ln\left(x\right)}{3}-\frac{\frac{b^2\,{\mathrm{atan}\left(c\,x\right)}^2}{4}+\frac{a^2}{4}+x\,\left(\frac{c\,\mathrm{atan}\left(c\,x\right)\,b^2}{6}+\frac{a\,c\,b}{6}\right)-x^3\,\left(\frac{b^2\,c^3\,\mathrm{atan}\left(c\,x\right)}{2}+\frac{a\,b\,c^3}{2}\right)+\frac{b^2\,c^2\,x^2}{12}+\frac{a\,b\,\mathrm{atan}\left(c\,x\right)}{2}}{x^4}+\frac{b^2\,c^4\,\ln\left(c\,x+1{}\mathrm{i}\right)}{3}+\frac{b^2\,c^4\,\ln\left(1+c\,x\,1{}\mathrm{i}\right)}{3}+\frac{a\,b\,c^4\,\ln\left(c\,x+1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}-\frac{a\,b\,c^4\,\ln\left(1+c\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{4}","Not used",1,"(b^2*c^4*atan(c*x)^2)/4 - (2*b^2*c^4*log(x))/3 - ((b^2*atan(c*x)^2)/4 + a^2/4 + x*((b^2*c*atan(c*x))/6 + (a*b*c)/6) - x^3*((b^2*c^3*atan(c*x))/2 + (a*b*c^3)/2) + (b^2*c^2*x^2)/12 + (a*b*atan(c*x))/2)/x^4 + (b^2*c^4*log(c*x + 1i))/3 + (b^2*c^4*log(c*x*1i + 1))/3 + (a*b*c^4*log(c*x + 1i)*1i)/4 - (a*b*c^4*log(c*x*1i + 1)*1i)/4","B"
24,0,-1,255,0.000000,"\text{Not used}","int(x^5*(a + b*atan(c*x))^3,x)","\int x^5\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3 \,d x","Not used",1,"int(x^5*(a + b*atan(c*x))^3, x)","F"
25,0,-1,271,0.000000,"\text{Not used}","int(x^4*(a + b*atan(c*x))^3,x)","\int x^4\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3 \,d x","Not used",1,"int(x^4*(a + b*atan(c*x))^3, x)","F"
26,0,-1,194,0.000000,"\text{Not used}","int(x^3*(a + b*atan(c*x))^3,x)","\int x^3\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3 \,d x","Not used",1,"int(x^3*(a + b*atan(c*x))^3, x)","F"
27,0,-1,206,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c*x))^3,x)","\int x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3 \,d x","Not used",1,"int(x^2*(a + b*atan(c*x))^3, x)","F"
28,0,-1,131,0.000000,"\text{Not used}","int(x*(a + b*atan(c*x))^3,x)","\int x\,{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3 \,d x","Not used",1,"int(x*(a + b*atan(c*x))^3, x)","F"
29,0,-1,119,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3,x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3 \,d x","Not used",1,"int((a + b*atan(c*x))^3, x)","F"
30,0,-1,206,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3/x,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*atan(c*x))^3/x, x)","F"
31,0,-1,116,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{x^2} \,d x","Not used",1,"int((a + b*atan(c*x))^3/x^2, x)","F"
32,0,-1,133,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{x^3} \,d x","Not used",1,"int((a + b*atan(c*x))^3/x^3, x)","F"
33,0,-1,213,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3/x^4,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{x^4} \,d x","Not used",1,"int((a + b*atan(c*x))^3/x^4, x)","F"
34,0,-1,198,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3/x^5,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3}{x^5} \,d x","Not used",1,"int((a + b*atan(c*x))^3/x^5, x)","F"
35,0,-1,11,0.000000,"\text{Not used}","int(x/atan(a*x),x)","\int \frac{x}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int(x/atan(a*x), x)","F"
36,0,-1,9,0.000000,"\text{Not used}","int(1/atan(a*x),x)","\int \frac{1}{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int(1/atan(a*x), x)","F"
37,0,-1,13,0.000000,"\text{Not used}","int(1/(x*atan(a*x)),x)","\int \frac{1}{x\,\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int(1/(x*atan(a*x)), x)","F"
38,0,-1,11,0.000000,"\text{Not used}","int(x/atan(a*x)^2,x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int(x/atan(a*x)^2, x)","F"
39,0,-1,9,0.000000,"\text{Not used}","int(1/atan(a*x)^2,x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int(1/atan(a*x)^2, x)","F"
40,0,-1,13,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^2),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^2} \,d x","Not used",0,"int(1/(x*atan(a*x)^2), x)","F"
41,0,-1,13,0.000000,"\text{Not used}","int(x*atan(a*x)^(1/2),x)","\int x\,\sqrt{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int(x*atan(a*x)^(1/2), x)","F"
42,0,-1,11,0.000000,"\text{Not used}","int(atan(a*x)^(1/2),x)","\int \sqrt{\mathrm{atan}\left(a\,x\right)} \,d x","Not used",0,"int(atan(a*x)^(1/2), x)","F"
43,0,-1,15,0.000000,"\text{Not used}","int(atan(a*x)^(1/2)/x,x)","\int \frac{\sqrt{\mathrm{atan}\left(a\,x\right)}}{x} \,d x","Not used",0,"int(atan(a*x)^(1/2)/x, x)","F"
44,0,-1,13,0.000000,"\text{Not used}","int(x*atan(a*x)^(3/2),x)","\int x\,{\mathrm{atan}\left(a\,x\right)}^{3/2} \,d x","Not used",0,"int(x*atan(a*x)^(3/2), x)","F"
45,0,-1,11,0.000000,"\text{Not used}","int(atan(a*x)^(3/2),x)","\int {\mathrm{atan}\left(a\,x\right)}^{3/2} \,d x","Not used",0,"int(atan(a*x)^(3/2), x)","F"
46,0,-1,15,0.000000,"\text{Not used}","int(atan(a*x)^(3/2)/x,x)","\int \frac{{\mathrm{atan}\left(a\,x\right)}^{3/2}}{x} \,d x","Not used",0,"int(atan(a*x)^(3/2)/x, x)","F"
47,0,-1,13,0.000000,"\text{Not used}","int(x/atan(a*x)^(1/2),x)","\int \frac{x}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int(x/atan(a*x)^(1/2), x)","F"
48,0,-1,11,0.000000,"\text{Not used}","int(1/atan(a*x)^(1/2),x)","\int \frac{1}{\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int(1/atan(a*x)^(1/2), x)","F"
49,0,-1,15,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(1/2)),x)","\int \frac{1}{x\,\sqrt{\mathrm{atan}\left(a\,x\right)}} \,d x","Not used",0,"int(1/(x*atan(a*x)^(1/2)), x)","F"
50,0,-1,13,0.000000,"\text{Not used}","int(x/atan(a*x)^(3/2),x)","\int \frac{x}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int(x/atan(a*x)^(3/2), x)","F"
51,0,-1,11,0.000000,"\text{Not used}","int(1/atan(a*x)^(3/2),x)","\int \frac{1}{{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int(1/atan(a*x)^(3/2), x)","F"
52,0,-1,15,0.000000,"\text{Not used}","int(1/(x*atan(a*x)^(3/2)),x)","\int \frac{1}{x\,{\mathrm{atan}\left(a\,x\right)}^{3/2}} \,d x","Not used",0,"int(1/(x*atan(a*x)^(3/2)), x)","F"
53,1,49,117,0.320706,"\text{Not used}","int(x^(1/2)*atan(x),x)","\frac{2\,x^{3/2}\,\mathrm{atan}\left(x\right)}{3}-\frac{4\,\sqrt{x}}{3}+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{3}+\frac{1}{3}{}\mathrm{i}\right)+\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,\sqrt{x}\,\left(\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)\right)\,\left(\frac{1}{3}-\frac{1}{3}{}\mathrm{i}\right)","Not used",1,"(2*x^(3/2)*atan(x))/3 + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 - 1i/2))*(1/3 + 1i/3) + 2^(1/2)*atan(2^(1/2)*x^(1/2)*(1/2 + 1i/2))*(1/3 - 1i/3) - (4*x^(1/2))/3","B"
54,0,-1,19,0.000000,"\text{Not used}","int((a + b*atan(c*x))^3*(d*x)^m,x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^3\,{\left(d\,x\right)}^m \,d x","Not used",0,"int((a + b*atan(c*x))^3*(d*x)^m, x)","F"
55,0,-1,19,0.000000,"\text{Not used}","int((a + b*atan(c*x))^2*(d*x)^m,x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^2\,{\left(d\,x\right)}^m \,d x","Not used",0,"int((a + b*atan(c*x))^2*(d*x)^m, x)","F"
56,0,-1,73,0.000000,"\text{Not used}","int((a + b*atan(c*x))*(d*x)^m,x)","\int \left(a+b\,\mathrm{atan}\left(c\,x\right)\right)\,{\left(d\,x\right)}^m \,d x","Not used",1,"int((a + b*atan(c*x))*(d*x)^m, x)","F"
57,0,-1,19,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atan(c*x)),x)","\int \frac{{\left(d\,x\right)}^m}{a+b\,\mathrm{atan}\left(c\,x\right)} \,d x","Not used",0,"int((d*x)^m/(a + b*atan(c*x)), x)","F"
58,0,-1,13,0.000000,"\text{Not used}","int((a + b*atan(c*x))^p,x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^p \,d x","Not used",0,"int((a + b*atan(c*x))^p, x)","F"
59,0,-1,19,0.000000,"\text{Not used}","int((a + b*atan(c*x))^p*(d*x)^m,x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x\right)\right)}^p\,{\left(d\,x\right)}^m \,d x","Not used",0,"int((a + b*atan(c*x))^p*(d*x)^m, x)","F"
60,1,49,54,0.357252,"\text{Not used}","int(x^7*(a + b*atan(c*x^2)),x)","\frac{a\,x^8}{8}+\frac{b\,x^2}{8\,c^3}-\frac{b\,x^6}{24\,c}-\frac{b\,\mathrm{atan}\left(c\,x^2\right)}{8\,c^4}+\frac{b\,x^8\,\mathrm{atan}\left(c\,x^2\right)}{8}","Not used",1,"(a*x^8)/8 + (b*x^2)/(8*c^3) - (b*x^6)/(24*c) - (b*atan(c*x^2))/(8*c^4) + (b*x^8*atan(c*x^2))/8","B"
61,1,44,47,0.348747,"\text{Not used}","int(x^5*(a + b*atan(c*x^2)),x)","\frac{a\,x^6}{6}+\frac{b\,\ln\left(c^2\,x^4+1\right)}{12\,c^3}-\frac{b\,x^4}{12\,c}+\frac{b\,x^6\,\mathrm{atan}\left(c\,x^2\right)}{6}","Not used",1,"(a*x^6)/6 + (b*log(c^2*x^4 + 1))/(12*c^3) - (b*x^4)/(12*c) + (b*x^6*atan(c*x^2))/6","B"
62,1,40,43,0.326879,"\text{Not used}","int(x^3*(a + b*atan(c*x^2)),x)","\frac{a\,x^4}{4}-\frac{b\,x^2}{4\,c}+\frac{b\,\mathrm{atan}\left(c\,x^2\right)}{4\,c^2}+\frac{b\,x^4\,\mathrm{atan}\left(c\,x^2\right)}{4}","Not used",1,"(a*x^4)/4 - (b*x^2)/(4*c) + (b*atan(c*x^2))/(4*c^2) + (b*x^4*atan(c*x^2))/4","B"
63,1,35,36,0.313917,"\text{Not used}","int(x*(a + b*atan(c*x^2)),x)","\frac{a\,x^2}{2}-\frac{b\,\ln\left(c^2\,x^4+1\right)}{4\,c}+\frac{b\,x^2\,\mathrm{atan}\left(c\,x^2\right)}{2}","Not used",1,"(a*x^2)/2 - (b*log(c^2*x^4 + 1))/(4*c) + (b*x^2*atan(c*x^2))/2","B"
64,1,32,39,0.327076,"\text{Not used}","int((a + b*atan(c*x^2))/x,x)","a\,\ln\left(x\right)-\frac{b\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x^2\,1{}\mathrm{i}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1{}\mathrm{i}\,c\,x^2+1\right)\right)\,1{}\mathrm{i}}{4}","Not used",1,"a*log(x) - (b*(dilog(1 - c*x^2*1i) - dilog(c*x^2*1i + 1))*1i)/4","B"
65,1,38,39,0.342766,"\text{Not used}","int((a + b*atan(c*x^2))/x^3,x)","b\,c\,\ln\left(x\right)-\frac{a}{2\,x^2}-\frac{b\,\mathrm{atan}\left(c\,x^2\right)}{2\,x^2}-\frac{b\,c\,\ln\left(c^2\,x^4+1\right)}{4}","Not used",1,"b*c*log(x) - a/(2*x^2) - (b*atan(c*x^2))/(2*x^2) - (b*c*log(c^2*x^4 + 1))/4","B"
66,1,41,41,0.356348,"\text{Not used}","int((a + b*atan(c*x^2))/x^5,x)","-\frac{\frac{b\,c\,x^2}{2}+\frac{a}{2}}{2\,x^4}-\frac{b\,c^2\,\mathrm{atan}\left(c\,x^2\right)}{4}-\frac{b\,\mathrm{atan}\left(c\,x^2\right)}{4\,x^4}","Not used",1,"- (a/2 + (b*c*x^2)/2)/(2*x^4) - (b*c^2*atan(c*x^2))/4 - (b*atan(c*x^2))/(4*x^4)","B"
67,1,50,55,0.365158,"\text{Not used}","int((a + b*atan(c*x^2))/x^7,x)","\frac{b\,c^3\,\ln\left(c^2\,x^4+1\right)}{12}-\frac{a}{6\,x^6}-\frac{b\,c^3\,\ln\left(x\right)}{3}-\frac{b\,\mathrm{atan}\left(c\,x^2\right)}{6\,x^6}-\frac{b\,c}{12\,x^4}","Not used",1,"(b*c^3*log(c^2*x^4 + 1))/12 - a/(6*x^6) - (b*c^3*log(x))/3 - (b*atan(c*x^2))/(6*x^6) - (b*c)/(12*x^4)","B"
68,1,64,161,0.362665,"\text{Not used}","int(x^4*(a + b*atan(c*x^2)),x)","\frac{a\,x^5}{5}-\frac{2\,b\,x^3}{15\,c}+\frac{b\,x^5\,\mathrm{atan}\left(c\,x^2\right)}{5}+\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{c}\,x\right)}{5\,c^{5/2}}+\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{c}\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{5\,c^{5/2}}","Not used",1,"(a*x^5)/5 - (2*b*x^3)/(15*c) + (b*x^5*atan(c*x^2))/5 + ((-1)^(1/4)*b*atan((-1)^(1/4)*c^(1/2)*x))/(5*c^(5/2)) + ((-1)^(1/4)*b*atan((-1)^(1/4)*c^(1/2)*x*1i)*1i)/(5*c^(5/2))","B"
69,1,62,159,0.391604,"\text{Not used}","int(x^2*(a + b*atan(c*x^2)),x)","\frac{a\,x^3}{3}+\frac{b\,x^3\,\mathrm{atan}\left(c\,x^2\right)}{3}-\frac{2\,b\,x}{3\,c}-\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{c}\,x\right)\,1{}\mathrm{i}}{3\,c^{3/2}}-\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{c}\,x\,1{}\mathrm{i}\right)}{3\,c^{3/2}}","Not used",1,"(a*x^3)/3 + (b*x^3*atan(c*x^2))/3 - (2*b*x)/(3*c) - ((-1)^(1/4)*b*atan((-1)^(1/4)*c^(1/2)*x)*1i)/(3*c^(3/2)) - ((-1)^(1/4)*b*atan((-1)^(1/4)*c^(1/2)*x*1i))/(3*c^(3/2))","B"
70,1,49,140,0.390378,"\text{Not used}","int(a + b*atan(c*x^2),x)","a\,x+b\,x\,\mathrm{atan}\left(c\,x^2\right)-\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{c}\,x\right)}{\sqrt{c}}-\frac{{\left(-1\right)}^{1/4}\,b\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{c}\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{\sqrt{c}}","Not used",1,"a*x + b*x*atan(c*x^2) - ((-1)^(1/4)*b*atan((-1)^(1/4)*c^(1/2)*x))/c^(1/2) - ((-1)^(1/4)*b*atan((-1)^(1/4)*c^(1/2)*x*1i)*1i)/c^(1/2)","B"
71,1,55,143,0.201044,"\text{Not used}","int((a + b*atan(c*x^2))/x^2,x)","-\frac{a}{x}-\frac{b\,\mathrm{atan}\left(c\,x^2\right)}{x}-{\left(-1\right)}^{1/4}\,b\,\sqrt{c}\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{c}\,x\right)\,1{}\mathrm{i}-{\left(-1\right)}^{1/4}\,b\,\sqrt{c}\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{c}\,x\,1{}\mathrm{i}\right)","Not used",1,"- a/x - (b*atan(c*x^2))/x - (-1)^(1/4)*b*c^(1/2)*atan((-1)^(1/4)*c^(1/2)*x)*1i - (-1)^(1/4)*b*c^(1/2)*atan((-1)^(1/4)*c^(1/2)*x*1i)","B"
72,1,63,159,0.427928,"\text{Not used}","int((a + b*atan(c*x^2))/x^4,x)","-\frac{2\,b\,c\,x^2+a}{3\,x^3}-\frac{b\,\mathrm{atan}\left(c\,x^2\right)}{3\,x^3}-\frac{{\left(-1\right)}^{1/4}\,b\,c^{3/2}\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{c}\,x\right)}{3}-\frac{{\left(-1\right)}^{1/4}\,b\,c^{3/2}\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{c}\,x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}","Not used",1,"- (a + 2*b*c*x^2)/(3*x^3) - (b*atan(c*x^2))/(3*x^3) - ((-1)^(1/4)*b*c^(3/2)*atan((-1)^(1/4)*c^(1/2)*x))/3 - ((-1)^(1/4)*b*c^(3/2)*atan((-1)^(1/4)*c^(1/2)*x*1i)*1i)/3","B"
73,1,63,159,0.452057,"\text{Not used}","int((a + b*atan(c*x^2))/x^6,x)","-\frac{\frac{2\,b\,c\,x^2}{3}+a}{5\,x^5}-\frac{b\,\mathrm{atan}\left(c\,x^2\right)}{5\,x^5}+\frac{{\left(-1\right)}^{1/4}\,b\,c^{5/2}\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{c}\,x\right)\,1{}\mathrm{i}}{5}+\frac{{\left(-1\right)}^{1/4}\,b\,c^{5/2}\,\mathrm{atan}\left({\left(-1\right)}^{1/4}\,\sqrt{c}\,x\,1{}\mathrm{i}\right)}{5}","Not used",1,"((-1)^(1/4)*b*c^(5/2)*atan((-1)^(1/4)*c^(1/2)*x)*1i)/5 - (b*atan(c*x^2))/(5*x^5) - (a + (2*b*c*x^2)/3)/(5*x^5) + ((-1)^(1/4)*b*c^(5/2)*atan((-1)^(1/4)*c^(1/2)*x*1i))/5","B"
74,1,150,124,1.016218,"\text{Not used}","int(x^7*(a + b*atan(c*x^2))^2,x)","\frac{a^2\,x^8}{8}-\frac{b^2\,{\mathrm{atan}\left(c\,x^2\right)}^2}{8\,c^4}+\frac{b^2\,x^8\,{\mathrm{atan}\left(c\,x^2\right)}^2}{8}-\frac{b^2\,\ln\left(c^2\,x^4+1\right)}{6\,c^4}+\frac{b^2\,x^4}{24\,c^2}+\frac{b^2\,x^2\,\mathrm{atan}\left(c\,x^2\right)}{4\,c^3}-\frac{b^2\,x^6\,\mathrm{atan}\left(c\,x^2\right)}{12\,c}+\frac{a\,b\,x^2}{4\,c^3}-\frac{a\,b\,x^6}{12\,c}-\frac{a\,b\,\mathrm{atan}\left(c\,x^2\right)}{4\,c^4}+\frac{a\,b\,x^8\,\mathrm{atan}\left(c\,x^2\right)}{4}","Not used",1,"(a^2*x^8)/8 - (b^2*atan(c*x^2)^2)/(8*c^4) + (b^2*x^8*atan(c*x^2)^2)/8 - (b^2*log(c^2*x^4 + 1))/(6*c^4) + (b^2*x^4)/(24*c^2) + (b^2*x^2*atan(c*x^2))/(4*c^3) - (b^2*x^6*atan(c*x^2))/(12*c) + (a*b*x^2)/(4*c^3) - (a*b*x^6)/(12*c) - (a*b*atan(c*x^2))/(4*c^4) + (a*b*x^8*atan(c*x^2))/4","B"
75,0,-1,154,0.000000,"\text{Not used}","int(x^5*(a + b*atan(c*x^2))^2,x)","\int x^5\,{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^2 \,d x","Not used",1,"int(x^5*(a + b*atan(c*x^2))^2, x)","F"
76,1,112,90,0.683098,"\text{Not used}","int(x^3*(a + b*atan(c*x^2))^2,x)","\frac{a^2\,x^4}{4}+\frac{b^2\,{\mathrm{atan}\left(c\,x^2\right)}^2}{4\,c^2}+\frac{b^2\,x^4\,{\mathrm{atan}\left(c\,x^2\right)}^2}{4}+\frac{b^2\,\ln\left(c^2\,x^4+1\right)}{4\,c^2}-\frac{b^2\,x^2\,\mathrm{atan}\left(c\,x^2\right)}{2\,c}-\frac{a\,b\,x^2}{2\,c}+\frac{a\,b\,\mathrm{atan}\left(c\,x^2\right)}{2\,c^2}+\frac{a\,b\,x^4\,\mathrm{atan}\left(c\,x^2\right)}{2}","Not used",1,"(a^2*x^4)/4 + (b^2*atan(c*x^2)^2)/(4*c^2) + (b^2*x^4*atan(c*x^2)^2)/4 + (b^2*log(c^2*x^4 + 1))/(4*c^2) - (b^2*x^2*atan(c*x^2))/(2*c) - (a*b*x^2)/(2*c) + (a*b*atan(c*x^2))/(2*c^2) + (a*b*x^4*atan(c*x^2))/2","B"
77,0,-1,101,0.000000,"\text{Not used}","int(x*(a + b*atan(c*x^2))^2,x)","\int x\,{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^2 \,d x","Not used",1,"int(x*(a + b*atan(c*x^2))^2, x)","F"
78,0,-1,151,0.000000,"\text{Not used}","int((a + b*atan(c*x^2))^2/x,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*atan(c*x^2))^2/x, x)","F"
79,0,-1,97,0.000000,"\text{Not used}","int((a + b*atan(c*x^2))^2/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^2}{x^3} \,d x","Not used",1,"int((a + b*atan(c*x^2))^2/x^3, x)","F"
80,1,152,87,0.613006,"\text{Not used}","int((a + b*atan(c*x^2))^2/x^5,x)","b^2\,c^2\,\ln\left(x\right)-\frac{b^2\,c^2\,{\mathrm{atan}\left(c\,x^2\right)}^2}{4}-\frac{b^2\,{\mathrm{atan}\left(c\,x^2\right)}^2}{4\,x^4}-\frac{b^2\,c^2\,\ln\left(c^2\,x^4+1\right)}{4}-\frac{a^2}{4\,x^4}-\frac{b^2\,c\,\mathrm{atan}\left(c\,x^2\right)}{2\,x^2}-\frac{a\,b\,c}{2\,x^2}-\frac{a\,b\,c^2\,\mathrm{atan}\left(\frac{a^2\,c\,x^2}{a^2+25\,b^2}+\frac{25\,b^2\,c\,x^2}{a^2+25\,b^2}\right)}{2}-\frac{a\,b\,\mathrm{atan}\left(c\,x^2\right)}{2\,x^4}","Not used",1,"b^2*c^2*log(x) - (b^2*c^2*atan(c*x^2)^2)/4 - (b^2*atan(c*x^2)^2)/(4*x^4) - (b^2*c^2*log(c^2*x^4 + 1))/4 - a^2/(4*x^4) - (b^2*c*atan(c*x^2))/(2*x^2) - (a*b*c)/(2*x^2) - (a*b*c^2*atan((a^2*c*x^2)/(a^2 + 25*b^2) + (25*b^2*c*x^2)/(a^2 + 25*b^2)))/2 - (a*b*atan(c*x^2))/(2*x^4)","B"
81,0,-1,1393,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c*x^2))^2,x)","\int x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*atan(c*x^2))^2, x)","F"
82,0,-1,1191,0.000000,"\text{Not used}","int((a + b*atan(c*x^2))^2,x)","\int {\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^2 \,d x","Not used",1,"int((a + b*atan(c*x^2))^2, x)","F"
83,0,-1,1164,0.000000,"\text{Not used}","int((a + b*atan(c*x^2))^2/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^2}{x^2} \,d x","Not used",1,"int((a + b*atan(c*x^2))^2/x^2, x)","F"
84,0,-1,1360,0.000000,"\text{Not used}","int((a + b*atan(c*x^2))^2/x^4,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^2}{x^4} \,d x","Not used",1,"int((a + b*atan(c*x^2))^2/x^4, x)","F"
85,0,-1,1444,0.000000,"\text{Not used}","int((a + b*atan(c*x^2))^2/x^6,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^2}{x^6} \,d x","Not used",1,"int((a + b*atan(c*x^2))^2/x^6, x)","F"
86,0,-1,149,0.000000,"\text{Not used}","int(x^3*(a + b*atan(c*x^2))^3,x)","\int x^3\,{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^3 \,d x","Not used",1,"int(x^3*(a + b*atan(c*x^2))^3, x)","F"
87,0,-1,144,0.000000,"\text{Not used}","int(x*(a + b*atan(c*x^2))^3,x)","\int x\,{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^3 \,d x","Not used",1,"int(x*(a + b*atan(c*x^2))^3, x)","F"
88,0,-1,229,0.000000,"\text{Not used}","int((a + b*atan(c*x^2))^3/x,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*atan(c*x^2))^3/x, x)","F"
89,0,-1,138,0.000000,"\text{Not used}","int((a + b*atan(c*x^2))^3/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^3}{x^3} \,d x","Not used",1,"int((a + b*atan(c*x^2))^3/x^3, x)","F"
90,0,-1,149,0.000000,"\text{Not used}","int((a + b*atan(c*x^2))^3/x^5,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^3}{x^5} \,d x","Not used",1,"int((a + b*atan(c*x^2))^3/x^5, x)","F"
91,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atan(c*x^2))^3,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^3 \,d x","Not used",0,"int((d*x)^m*(a + b*atan(c*x^2))^3, x)","F"
92,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atan(c*x^2))^2,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^2 \,d x","Not used",0,"int((d*x)^m*(a + b*atan(c*x^2))^2, x)","F"
93,0,-1,75,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atan(c*x^2)),x)","\int {\left(d\,x\right)}^m\,\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right) \,d x","Not used",1,"int((d*x)^m*(a + b*atan(c*x^2)), x)","F"
94,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atan(c*x^2)),x)","\int \frac{{\left(d\,x\right)}^m}{a+b\,\mathrm{atan}\left(c\,x^2\right)} \,d x","Not used",0,"int((d*x)^m/(a + b*atan(c*x^2)), x)","F"
95,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atan(c*x^2))^2,x)","\int \frac{{\left(d\,x\right)}^m}{{\left(a+b\,\mathrm{atan}\left(c\,x^2\right)\right)}^2} \,d x","Not used",0,"int((d*x)^m/(a + b*atan(c*x^2))^2, x)","F"
96,1,49,54,0.453944,"\text{Not used}","int(x^11*(a + b*atan(c*x^3)),x)","\frac{a\,x^{12}}{12}+\frac{b\,x^3}{12\,c^3}-\frac{b\,x^9}{36\,c}-\frac{b\,\mathrm{atan}\left(c\,x^3\right)}{12\,c^4}+\frac{b\,x^{12}\,\mathrm{atan}\left(c\,x^3\right)}{12}","Not used",1,"(a*x^12)/12 + (b*x^3)/(12*c^3) - (b*x^9)/(36*c) - (b*atan(c*x^3))/(12*c^4) + (b*x^12*atan(c*x^3))/12","B"
97,1,44,47,0.379499,"\text{Not used}","int(x^8*(a + b*atan(c*x^3)),x)","\frac{a\,x^9}{9}+\frac{b\,\ln\left(c^2\,x^6+1\right)}{18\,c^3}-\frac{b\,x^6}{18\,c}+\frac{b\,x^9\,\mathrm{atan}\left(c\,x^3\right)}{9}","Not used",1,"(a*x^9)/9 + (b*log(c^2*x^6 + 1))/(18*c^3) - (b*x^6)/(18*c) + (b*x^9*atan(c*x^3))/9","B"
98,1,40,43,0.404909,"\text{Not used}","int(x^5*(a + b*atan(c*x^3)),x)","\frac{a\,x^6}{6}-\frac{b\,x^3}{6\,c}+\frac{b\,\mathrm{atan}\left(c\,x^3\right)}{6\,c^2}+\frac{b\,x^6\,\mathrm{atan}\left(c\,x^3\right)}{6}","Not used",1,"(a*x^6)/6 - (b*x^3)/(6*c) + (b*atan(c*x^3))/(6*c^2) + (b*x^6*atan(c*x^3))/6","B"
99,1,35,36,0.100446,"\text{Not used}","int(x^2*(a + b*atan(c*x^3)),x)","\frac{a\,x^3}{3}-\frac{b\,\ln\left(c^2\,x^6+1\right)}{6\,c}+\frac{b\,x^3\,\mathrm{atan}\left(c\,x^3\right)}{3}","Not used",1,"(a*x^3)/3 - (b*log(c^2*x^6 + 1))/(6*c) + (b*x^3*atan(c*x^3))/3","B"
100,1,32,39,0.351283,"\text{Not used}","int((a + b*atan(c*x^3))/x,x)","a\,\ln\left(x\right)-\frac{b\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-c\,x^3\,1{}\mathrm{i}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1{}\mathrm{i}\,c\,x^3+1\right)\right)\,1{}\mathrm{i}}{6}","Not used",1,"a*log(x) - (b*(dilog(1 - c*x^3*1i) - dilog(c*x^3*1i + 1))*1i)/6","B"
101,1,38,39,0.376640,"\text{Not used}","int((a + b*atan(c*x^3))/x^4,x)","b\,c\,\ln\left(x\right)-\frac{a}{3\,x^3}-\frac{b\,\mathrm{atan}\left(c\,x^3\right)}{3\,x^3}-\frac{b\,c\,\ln\left(c^2\,x^6+1\right)}{6}","Not used",1,"b*c*log(x) - a/(3*x^3) - (b*atan(c*x^3))/(3*x^3) - (b*c*log(c^2*x^6 + 1))/6","B"
102,1,41,41,0.386078,"\text{Not used}","int((a + b*atan(c*x^3))/x^7,x)","-\frac{\frac{b\,c\,x^3}{3}+\frac{a}{3}}{2\,x^6}-\frac{b\,c^2\,\mathrm{atan}\left(c\,x^3\right)}{6}-\frac{b\,\mathrm{atan}\left(c\,x^3\right)}{6\,x^6}","Not used",1,"- (a/3 + (b*c*x^3)/3)/(2*x^6) - (b*c^2*atan(c*x^3))/6 - (b*atan(c*x^3))/(6*x^6)","B"
103,1,50,55,0.401272,"\text{Not used}","int((a + b*atan(c*x^3))/x^10,x)","\frac{b\,c^3\,\ln\left(c^2\,x^6+1\right)}{18}-\frac{a}{9\,x^9}-\frac{b\,c^3\,\ln\left(x\right)}{3}-\frac{b\,\mathrm{atan}\left(c\,x^3\right)}{9\,x^9}-\frac{b\,c}{18\,x^6}","Not used",1,"(b*c^3*log(c^2*x^6 + 1))/18 - a/(9*x^9) - (b*c^3*log(x))/3 - (b*atan(c*x^3))/(9*x^9) - (b*c)/(18*x^6)","B"
104,1,114,174,1.163722,"\text{Not used}","int(x^3*(a + b*atan(c*x^3)),x)","\frac{a\,x^4}{4}-\frac{b\,\left(\mathrm{atan}\left({\left(-1\right)}^{2/3}\,c^{1/3}\,x\right)-\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)+2\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{2/3}\,c^{1/3}\,x\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\right)}{8\,c^{4/3}}+\frac{b\,x^4\,\mathrm{atan}\left(c\,x^3\right)}{4}-\frac{3\,b\,x}{4\,c}-\frac{\sqrt{3}\,b\,\left(\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)+\mathrm{atan}\left({\left(-1\right)}^{2/3}\,c^{1/3}\,x\right)\right)\,1{}\mathrm{i}}{8\,c^{4/3}}","Not used",1,"(a*x^4)/4 - (b*(atan((-1)^(2/3)*c^(1/3)*x) - atan((c^(1/3)*x*(3^(1/2)*1i + 1))/2) + 2*atan(((-1)^(2/3)*c^(1/3)*x*(3^(1/2)*1i + 1))/2)))/(8*c^(4/3)) + (b*x^4*atan(c*x^3))/4 - (3*b*x)/(4*c) - (3^(1/2)*b*(atan((c^(1/3)*x*(3^(1/2)*1i + 1))/2) + atan((-1)^(2/3)*c^(1/3)*x))*1i)/(8*c^(4/3))","B"
105,1,91,101,2.295238,"\text{Not used}","int(a + b*atan(c*x^3),x)","a\,x+b\,x\,\mathrm{atan}\left(c\,x^3\right)+\frac{b\,\ln\left(c^{2/3}\,x^2+1\right)}{2\,c^{1/3}}-\frac{\ln\left(2-4\,c^{2/3}\,x^2+\sqrt{3}\,2{}\mathrm{i}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{4\,c^{1/3}}-\frac{\ln\left(4\,c^{2/3}\,x^2-2+\sqrt{3}\,2{}\mathrm{i}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{4\,c^{1/3}}","Not used",1,"a*x + b*x*atan(c*x^3) + (b*log(c^(2/3)*x^2 + 1))/(2*c^(1/3)) - (log(3^(1/2)*2i - 4*c^(2/3)*x^2 + 2)*(b - 3^(1/2)*b*1i))/(4*c^(1/3)) - (log(3^(1/2)*2i + 4*c^(2/3)*x^2 - 2)*(b + 3^(1/2)*b*1i))/(4*c^(1/3))","B"
106,1,107,165,0.909470,"\text{Not used}","int((a + b*atan(c*x^3))/x^3,x)","-\frac{a}{2\,x^2}-\frac{b\,c^{2/3}\,\left(\frac{\mathrm{atan}\left({\left(-1\right)}^{2/3}\,c^{1/3}\,x\right)}{2}-\frac{\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)}{2}+\mathrm{atan}\left(\frac{{\left(-1\right)}^{2/3}\,c^{1/3}\,x\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\right)}{2}-\frac{b\,\mathrm{atan}\left(c\,x^3\right)}{2\,x^2}-\frac{\sqrt{3}\,b\,c^{2/3}\,\left(\mathrm{atan}\left(\frac{c^{1/3}\,x\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)+\mathrm{atan}\left({\left(-1\right)}^{2/3}\,c^{1/3}\,x\right)\right)\,1{}\mathrm{i}}{4}","Not used",1,"- a/(2*x^2) - (b*c^(2/3)*(atan((-1)^(2/3)*c^(1/3)*x)/2 - atan((c^(1/3)*x*(3^(1/2)*1i + 1))/2)/2 + atan(((-1)^(2/3)*c^(1/3)*x*(3^(1/2)*1i + 1))/2)))/2 - (b*atan(c*x^3))/(2*x^2) - (3^(1/2)*b*c^(2/3)*(atan((c^(1/3)*x*(3^(1/2)*1i + 1))/2) + atan((-1)^(2/3)*c^(1/3)*x))*1i)/4","B"
107,1,118,115,2.566685,"\text{Not used}","int((a + b*atan(c*x^3))/x^6,x)","\frac{b\,c^{5/3}\,\ln\left(c^{2/3}\,x^2+1\right)}{10}-\frac{\frac{3\,b\,c\,x^3}{2}+a}{5\,x^5}-\frac{b\,\mathrm{atan}\left(c\,x^3\right)}{5\,x^5}-\frac{b\,c^{5/3}\,\ln\left(\sqrt{3}\,c^{2/3}\,x^2-c^{2/3}\,x^2\,1{}\mathrm{i}+2{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{20}+\frac{b\,c^{5/3}\,\ln\left(-c^{2/3}\,x^2\,1{}\mathrm{i}-\sqrt{3}\,c^{2/3}\,x^2+2{}\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{20}","Not used",1,"(b*c^(5/3)*log(c^(2/3)*x^2 + 1))/10 - (a + (3*b*c*x^3)/2)/(5*x^5) - (b*atan(c*x^3))/(5*x^5) - (b*c^(5/3)*log(3^(1/2)*c^(2/3)*x^2 - c^(2/3)*x^2*1i + 2i)*(3^(1/2)*1i + 1))/20 + (b*c^(5/3)*log(2i - 3^(1/2)*c^(2/3)*x^2 - c^(2/3)*x^2*1i)*(3^(1/2)*1i - 1))/20","B"
108,1,122,176,1.001564,"\text{Not used}","int(x^7*(a + b*atan(c*x^3)),x)","\frac{a\,x^8}{8}-\frac{3\,b\,x^5}{40\,c}-\frac{b\,\left(\mathrm{atan}\left({\left(-1\right)}^{2/3}\,c^{1/3}\,x\right)+\mathrm{atan}\left(\frac{{\left(-1\right)}^{2/3}\,c^{1/3}\,x\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)+2\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{2/3}\,c^{1/3}\,x\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\right)}{16\,c^{8/3}}+\frac{b\,x^8\,\mathrm{atan}\left(c\,x^3\right)}{8}+\frac{\sqrt{3}\,b\,\left(\mathrm{atan}\left({\left(-1\right)}^{2/3}\,c^{1/3}\,x\right)-\mathrm{atan}\left(\frac{{\left(-1\right)}^{2/3}\,c^{1/3}\,x\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\right)\,1{}\mathrm{i}}{16\,c^{8/3}}","Not used",1,"(a*x^8)/8 - (3*b*x^5)/(40*c) - (b*(atan((-1)^(2/3)*c^(1/3)*x) + atan(((-1)^(2/3)*c^(1/3)*x*(3^(1/2)*1i - 1))/2) + 2*atan(((-1)^(2/3)*c^(1/3)*x*(3^(1/2)*1i + 1))/2)))/(16*c^(8/3)) + (b*x^8*atan(c*x^3))/8 + (3^(1/2)*b*(atan((-1)^(2/3)*c^(1/3)*x) - atan(((-1)^(2/3)*c^(1/3)*x*(3^(1/2)*1i - 1))/2))*1i)/(16*c^(8/3))","B"
109,1,106,117,1.935511,"\text{Not used}","int(x^4*(a + b*atan(c*x^3)),x)","\frac{a\,x^5}{5}+\frac{b\,\ln\left(c^{2/3}\,x^2+1\right)}{10\,c^{5/3}}-\frac{3\,b\,x^2}{10\,c}-\frac{\ln\left(1-2\,c^{2/3}\,x^2+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(b+\sqrt{3}\,b\,1{}\mathrm{i}\right)}{20\,c^{5/3}}-\frac{\ln\left(2\,c^{2/3}\,x^2-1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(b-\sqrt{3}\,b\,1{}\mathrm{i}\right)}{20\,c^{5/3}}+\frac{b\,x^5\,\mathrm{atan}\left(c\,x^3\right)}{5}","Not used",1,"(a*x^5)/5 + (b*log(c^(2/3)*x^2 + 1))/(10*c^(5/3)) - (3*b*x^2)/(10*c) - (log(3^(1/2)*1i - 2*c^(2/3)*x^2 + 1)*(b + 3^(1/2)*b*1i))/(20*c^(5/3)) - (log(3^(1/2)*1i + 2*c^(2/3)*x^2 - 1)*(b - 3^(1/2)*b*1i))/(20*c^(5/3)) + (b*x^5*atan(c*x^3))/5","B"
110,1,113,165,0.689039,"\text{Not used}","int(x*(a + b*atan(c*x^3)),x)","\frac{a\,x^2}{2}+\frac{b\,\left(\mathrm{atan}\left({\left(-1\right)}^{2/3}\,c^{1/3}\,x\right)+\mathrm{atan}\left(\frac{{\left(-1\right)}^{2/3}\,c^{1/3}\,x\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)+2\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{2/3}\,c^{1/3}\,x\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\right)}{4\,c^{2/3}}+\frac{b\,x^2\,\mathrm{atan}\left(c\,x^3\right)}{2}-\frac{\sqrt{3}\,b\,\left(\mathrm{atan}\left({\left(-1\right)}^{2/3}\,c^{1/3}\,x\right)-\mathrm{atan}\left(\frac{{\left(-1\right)}^{2/3}\,c^{1/3}\,x\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\right)\,1{}\mathrm{i}}{4\,c^{2/3}}","Not used",1,"(a*x^2)/2 + (b*(atan((-1)^(2/3)*c^(1/3)*x) + atan(((-1)^(2/3)*c^(1/3)*x*(3^(1/2)*1i - 1))/2) + 2*atan(((-1)^(2/3)*c^(1/3)*x*(3^(1/2)*1i + 1))/2)))/(4*c^(2/3)) + (b*x^2*atan(c*x^3))/2 - (3^(1/2)*b*(atan((-1)^(2/3)*c^(1/3)*x) - atan(((-1)^(2/3)*c^(1/3)*x*(3^(1/2)*1i - 1))/2))*1i)/(4*c^(2/3))","B"
111,1,99,104,1.828466,"\text{Not used}","int((a + b*atan(c*x^3))/x^2,x)","\frac{b\,c^{1/3}\,\ln\left(c^{2/3}\,x^2+1\right)}{2}-\frac{a}{x}-\frac{b\,\mathrm{atan}\left(c\,x^3\right)}{x}-\frac{b\,c^{1/3}\,\ln\left(-\sqrt{3}-c^{2/3}\,x^2\,2{}\mathrm{i}+1{}\mathrm{i}\right)\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{4}+\frac{b\,c^{1/3}\,\ln\left(-\sqrt{3}+c^{2/3}\,x^2\,2{}\mathrm{i}-\mathrm{i}\right)\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{4}","Not used",1,"(b*c^(1/3)*log(c^(2/3)*x^2 + 1))/2 - a/x - (b*atan(c*x^3))/x - (b*c^(1/3)*log(1i - c^(2/3)*x^2*2i - 3^(1/2))*(3^(1/2)*1i + 1))/4 + (b*c^(1/3)*log(c^(2/3)*x^2*2i - 3^(1/2) - 1i)*(3^(1/2)*1i - 1))/4","B"
112,1,120,174,0.705769,"\text{Not used}","int((a + b*atan(c*x^3))/x^5,x)","-\frac{a}{4\,x^4}+\frac{b\,c^{4/3}\,\left(\mathrm{atan}\left({\left(-1\right)}^{2/3}\,c^{1/3}\,x\right)+\mathrm{atan}\left(\frac{{\left(-1\right)}^{2/3}\,c^{1/3}\,x\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)+2\,\mathrm{atan}\left(\frac{{\left(-1\right)}^{2/3}\,c^{1/3}\,x\,\left(1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\right)}{8}-\frac{b\,\mathrm{atan}\left(c\,x^3\right)}{4\,x^4}-\frac{3\,b\,c}{4\,x}-\frac{\sqrt{3}\,b\,c^{4/3}\,\left(\mathrm{atan}\left({\left(-1\right)}^{2/3}\,c^{1/3}\,x\right)-\mathrm{atan}\left(\frac{{\left(-1\right)}^{2/3}\,c^{1/3}\,x\,\left(-1+\sqrt{3}\,1{}\mathrm{i}\right)}{2}\right)\right)\,1{}\mathrm{i}}{8}","Not used",1,"(b*c^(4/3)*(atan((-1)^(2/3)*c^(1/3)*x) + atan(((-1)^(2/3)*c^(1/3)*x*(3^(1/2)*1i - 1))/2) + 2*atan(((-1)^(2/3)*c^(1/3)*x*(3^(1/2)*1i + 1))/2)))/8 - a/(4*x^4) - (b*atan(c*x^3))/(4*x^4) - (3*b*c)/(4*x) - (3^(1/2)*b*c^(4/3)*(atan((-1)^(2/3)*c^(1/3)*x) - atan(((-1)^(2/3)*c^(1/3)*x*(3^(1/2)*1i - 1))/2))*1i)/8","B"
113,1,150,124,1.139989,"\text{Not used}","int(x^11*(a + b*atan(c*x^3))^2,x)","\frac{a^2\,x^{12}}{12}-\frac{b^2\,{\mathrm{atan}\left(c\,x^3\right)}^2}{12\,c^4}+\frac{b^2\,x^{12}\,{\mathrm{atan}\left(c\,x^3\right)}^2}{12}-\frac{b^2\,\ln\left(c^2\,x^6+1\right)}{9\,c^4}+\frac{b^2\,x^6}{36\,c^2}+\frac{b^2\,x^3\,\mathrm{atan}\left(c\,x^3\right)}{6\,c^3}-\frac{b^2\,x^9\,\mathrm{atan}\left(c\,x^3\right)}{18\,c}+\frac{a\,b\,x^3}{6\,c^3}-\frac{a\,b\,x^9}{18\,c}-\frac{a\,b\,\mathrm{atan}\left(c\,x^3\right)}{6\,c^4}+\frac{a\,b\,x^{12}\,\mathrm{atan}\left(c\,x^3\right)}{6}","Not used",1,"(a^2*x^12)/12 - (b^2*atan(c*x^3)^2)/(12*c^4) + (b^2*x^12*atan(c*x^3)^2)/12 - (b^2*log(c^2*x^6 + 1))/(9*c^4) + (b^2*x^6)/(36*c^2) + (b^2*x^3*atan(c*x^3))/(6*c^3) - (b^2*x^9*atan(c*x^3))/(18*c) + (a*b*x^3)/(6*c^3) - (a*b*x^9)/(18*c) - (a*b*atan(c*x^3))/(6*c^4) + (a*b*x^12*atan(c*x^3))/6","B"
114,0,-1,154,0.000000,"\text{Not used}","int(x^8*(a + b*atan(c*x^3))^2,x)","\int x^8\,{\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right)}^2 \,d x","Not used",1,"int(x^8*(a + b*atan(c*x^3))^2, x)","F"
115,1,112,90,0.723841,"\text{Not used}","int(x^5*(a + b*atan(c*x^3))^2,x)","\frac{a^2\,x^6}{6}+\frac{b^2\,{\mathrm{atan}\left(c\,x^3\right)}^2}{6\,c^2}+\frac{b^2\,x^6\,{\mathrm{atan}\left(c\,x^3\right)}^2}{6}+\frac{b^2\,\ln\left(c^2\,x^6+1\right)}{6\,c^2}-\frac{b^2\,x^3\,\mathrm{atan}\left(c\,x^3\right)}{3\,c}-\frac{a\,b\,x^3}{3\,c}+\frac{a\,b\,\mathrm{atan}\left(c\,x^3\right)}{3\,c^2}+\frac{a\,b\,x^6\,\mathrm{atan}\left(c\,x^3\right)}{3}","Not used",1,"(a^2*x^6)/6 + (b^2*atan(c*x^3)^2)/(6*c^2) + (b^2*x^6*atan(c*x^3)^2)/6 + (b^2*log(c^2*x^6 + 1))/(6*c^2) - (b^2*x^3*atan(c*x^3))/(3*c) - (a*b*x^3)/(3*c) + (a*b*atan(c*x^3))/(3*c^2) + (a*b*x^6*atan(c*x^3))/3","B"
116,0,-1,104,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c*x^3))^2,x)","\int x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*atan(c*x^3))^2, x)","F"
117,0,-1,154,0.000000,"\text{Not used}","int((a + b*atan(c*x^3))^2/x,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*atan(c*x^3))^2/x, x)","F"
118,0,-1,100,0.000000,"\text{Not used}","int((a + b*atan(c*x^3))^2/x^4,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right)}^2}{x^4} \,d x","Not used",1,"int((a + b*atan(c*x^3))^2/x^4, x)","F"
119,1,152,87,0.690570,"\text{Not used}","int((a + b*atan(c*x^3))^2/x^7,x)","b^2\,c^2\,\ln\left(x\right)-\frac{b^2\,c^2\,{\mathrm{atan}\left(c\,x^3\right)}^2}{6}-\frac{b^2\,{\mathrm{atan}\left(c\,x^3\right)}^2}{6\,x^6}-\frac{b^2\,c^2\,\ln\left(c^2\,x^6+1\right)}{6}-\frac{a^2}{6\,x^6}-\frac{b^2\,c\,\mathrm{atan}\left(c\,x^3\right)}{3\,x^3}-\frac{a\,b\,c}{3\,x^3}-\frac{a\,b\,c^2\,\mathrm{atan}\left(\frac{a^2\,c\,x^3}{a^2+49\,b^2}+\frac{49\,b^2\,c\,x^3}{a^2+49\,b^2}\right)}{3}-\frac{a\,b\,\mathrm{atan}\left(c\,x^3\right)}{3\,x^6}","Not used",1,"b^2*c^2*log(x) - (b^2*c^2*atan(c*x^3)^2)/6 - (b^2*atan(c*x^3)^2)/(6*x^6) - (b^2*c^2*log(c^2*x^6 + 1))/6 - a^2/(6*x^6) - (b^2*c*atan(c*x^3))/(3*x^3) - (a*b*c)/(3*x^3) - (a*b*c^2*atan((a^2*c*x^3)/(a^2 + 49*b^2) + (49*b^2*c*x^3)/(a^2 + 49*b^2)))/3 - (a*b*atan(c*x^3))/(3*x^6)","B"
120,0,-1,154,0.000000,"\text{Not used}","int((a + b*atan(c*x^3))^2/x^10,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right)}^2}{x^{10}} \,d x","Not used",1,"int((a + b*atan(c*x^3))^2/x^10, x)","F"
121,0,-1,240,0.000000,"\text{Not used}","int(x^8*(a + b*atan(c*x^3))^3,x)","\int x^8\,{\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right)}^3 \,d x","Not used",1,"int(x^8*(a + b*atan(c*x^3))^3, x)","F"
122,0,-1,147,0.000000,"\text{Not used}","int(x^5*(a + b*atan(c*x^3))^3,x)","\int x^5\,{\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right)}^3 \,d x","Not used",1,"int(x^5*(a + b*atan(c*x^3))^3, x)","F"
123,0,-1,139,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c*x^3))^3,x)","\int x^2\,{\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right)}^3 \,d x","Not used",1,"int(x^2*(a + b*atan(c*x^3))^3, x)","F"
124,0,-1,232,0.000000,"\text{Not used}","int((a + b*atan(c*x^3))^3/x,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*atan(c*x^3))^3/x, x)","F"
125,0,-1,133,0.000000,"\text{Not used}","int((a + b*atan(c*x^3))^3/x^4,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right)}^3}{x^4} \,d x","Not used",1,"int((a + b*atan(c*x^3))^3/x^4, x)","F"
126,0,-1,146,0.000000,"\text{Not used}","int((a + b*atan(c*x^3))^3/x^7,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right)}^3}{x^7} \,d x","Not used",1,"int((a + b*atan(c*x^3))^3/x^7, x)","F"
127,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atan(c*x^3))^3,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right)}^3 \,d x","Not used",0,"int((d*x)^m*(a + b*atan(c*x^3))^3, x)","F"
128,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atan(c*x^3))^2,x)","\int {\left(d\,x\right)}^m\,{\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right)}^2 \,d x","Not used",0,"int((d*x)^m*(a + b*atan(c*x^3))^2, x)","F"
129,0,-1,75,0.000000,"\text{Not used}","int((d*x)^m*(a + b*atan(c*x^3)),x)","\int {\left(d\,x\right)}^m\,\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right) \,d x","Not used",1,"int((d*x)^m*(a + b*atan(c*x^3)), x)","F"
130,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atan(c*x^3)),x)","\int \frac{{\left(d\,x\right)}^m}{a+b\,\mathrm{atan}\left(c\,x^3\right)} \,d x","Not used",0,"int((d*x)^m/(a + b*atan(c*x^3)), x)","F"
131,0,-1,21,0.000000,"\text{Not used}","int((d*x)^m/(a + b*atan(c*x^3))^2,x)","\int \frac{{\left(d\,x\right)}^m}{{\left(a+b\,\mathrm{atan}\left(c\,x^3\right)\right)}^2} \,d x","Not used",0,"int((d*x)^m/(a + b*atan(c*x^3))^2, x)","F"
132,1,45,50,0.411218,"\text{Not used}","int(x^3*(a + b*atan(c/x)),x)","\frac{a\,x^4}{4}-\frac{b\,c^4\,\mathrm{atan}\left(\frac{c}{x}\right)}{4}+\frac{b\,x^4\,\mathrm{atan}\left(\frac{c}{x}\right)}{4}+\frac{b\,c\,x^3}{12}-\frac{b\,c^3\,x}{4}","Not used",1,"(a*x^4)/4 - (b*c^4*atan(c/x))/4 + (b*x^4*atan(c/x))/4 + (b*c*x^3)/12 - (b*c^3*x)/4","B"
133,1,40,43,0.352038,"\text{Not used}","int(x^2*(a + b*atan(c/x)),x)","\frac{a\,x^3}{3}+\frac{b\,x^3\,\mathrm{atan}\left(\frac{c}{x}\right)}{3}-\frac{b\,c^3\,\ln\left(c^2+x^2\right)}{6}+\frac{b\,c\,x^2}{6}","Not used",1,"(a*x^3)/3 + (b*x^3*atan(c/x))/3 - (b*c^3*log(c^2 + x^2))/6 + (b*c*x^2)/6","B"
134,1,36,39,0.344428,"\text{Not used}","int(x*(a + b*atan(c/x)),x)","\frac{a\,x^2}{2}+\frac{b\,c^2\,\mathrm{atan}\left(\frac{c}{x}\right)}{2}+\frac{b\,x^2\,\mathrm{atan}\left(\frac{c}{x}\right)}{2}+\frac{b\,c\,x}{2}","Not used",1,"(a*x^2)/2 + (b*c^2*atan(c/x))/2 + (b*x^2*atan(c/x))/2 + (b*c*x)/2","B"
135,1,25,27,0.303310,"\text{Not used}","int(a + b*atan(c/x),x)","a\,x+b\,x\,\mathrm{atan}\left(\frac{c}{x}\right)+\frac{b\,c\,\ln\left(c^2+x^2\right)}{2}","Not used",1,"a*x + b*x*atan(c/x) + (b*c*log(c^2 + x^2))/2","B"
136,1,32,39,0.338107,"\text{Not used}","int((a + b*atan(c/x))/x,x)","a\,\ln\left(x\right)+\frac{b\,\left({\mathrm{Li}}_{\mathrm{2}}\left(1-\frac{c\,1{}\mathrm{i}}{x}\right)-{\mathrm{Li}}_{\mathrm{2}}\left(1+\frac{c\,1{}\mathrm{i}}{x}\right)\right)\,1{}\mathrm{i}}{2}","Not used",1,"(b*(dilog(1 - (c*1i)/x) - dilog((c*1i)/x + 1))*1i)/2 + a*log(x)","B"
137,1,43,34,0.343641,"\text{Not used}","int((a + b*atan(c/x))/x^2,x)","\frac{\frac{b\,\ln\left(c^2+x^2\right)}{2}-b\,\ln\left(x\right)}{c}-\frac{a\,c+b\,c\,\mathrm{atan}\left(\frac{c}{x}\right)}{c\,x}","Not used",1,"((b*log(c^2 + x^2))/2 - b*log(x))/c - (a*c + b*c*atan(c/x))/(c*x)","B"
138,1,50,43,0.383822,"\text{Not used}","int((a + b*atan(c/x))/x^3,x)","\frac{b\,c\,\mathrm{atan}\left(\frac{x}{\sqrt{c^2}}\right)}{2\,{\left(c^2\right)}^{3/2}}-\frac{\frac{a\,c^2}{2}+\frac{b\,c^2\,\mathrm{atan}\left(\frac{c}{x}\right)}{2}-\frac{b\,c\,x}{2}}{c^2\,x^2}","Not used",1,"(b*c*atan(x/(c^2)^(1/2)))/(2*(c^2)^(3/2)) - ((a*c^2)/2 + (b*c^2*atan(c/x))/2 - (b*c*x)/2)/(c^2*x^2)","B"
139,1,56,55,0.369087,"\text{Not used}","int((a + b*atan(c/x))/x^4,x)","\frac{\frac{b\,x^3\,\ln\left(x\right)}{3}+\frac{b\,c^2\,x}{6}-\frac{b\,x^3\,\ln\left(c^2+x^2\right)}{6}}{c^3\,x^3}-\frac{\frac{a}{3}+\frac{b\,\mathrm{atan}\left(\frac{c}{x}\right)}{3}}{x^3}","Not used",1,"((b*x^3*log(x))/3 + (b*c^2*x)/6 - (b*x^3*log(c^2 + x^2))/6)/(c^3*x^3) - (a/3 + (b*atan(c/x))/3)/x^3","B"
140,1,140,122,0.473348,"\text{Not used}","int(x^3*(a + b*atan(c/x))^2,x)","\frac{a^2\,x^4}{4}-\frac{b^2\,c^4\,{\mathrm{atan}\left(\frac{c}{x}\right)}^2}{4}-\frac{b^2\,c^4\,\ln\left(c^2+x^2\right)}{3}+\frac{b^2\,x^4\,{\mathrm{atan}\left(\frac{c}{x}\right)}^2}{4}+\frac{b^2\,c^2\,x^2}{12}+\frac{b^2\,c\,x^3\,\mathrm{atan}\left(\frac{c}{x}\right)}{6}-\frac{b^2\,c^3\,x\,\mathrm{atan}\left(\frac{c}{x}\right)}{2}+\frac{a\,b\,c\,x^3}{6}-\frac{a\,b\,c^3\,x}{2}-\frac{a\,b\,c^4\,\mathrm{atan}\left(\frac{c}{x}\right)}{2}+\frac{a\,b\,x^4\,\mathrm{atan}\left(\frac{c}{x}\right)}{2}","Not used",1,"(a^2*x^4)/4 - (b^2*c^4*atan(c/x)^2)/4 - (b^2*c^4*log(c^2 + x^2))/3 + (b^2*x^4*atan(c/x)^2)/4 + (b^2*c^2*x^2)/12 + (b^2*c*x^3*atan(c/x))/6 - (b^2*c^3*x*atan(c/x))/2 + (a*b*c*x^3)/6 - (a*b*c^3*x)/2 - (a*b*c^4*atan(c/x))/2 + (a*b*x^4*atan(c/x))/2","B"
141,0,-1,152,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c/x))^2,x)","\int x^2\,{\left(a+b\,\mathrm{atan}\left(\frac{c}{x}\right)\right)}^2 \,d x","Not used",1,"int(x^2*(a + b*atan(c/x))^2, x)","F"
142,1,98,82,0.404431,"\text{Not used}","int(x*(a + b*atan(c/x))^2,x)","\frac{a^2\,x^2}{2}+\frac{b^2\,c^2\,{\mathrm{atan}\left(\frac{c}{x}\right)}^2}{2}+\frac{b^2\,c^2\,\ln\left(c^2+x^2\right)}{2}+\frac{b^2\,x^2\,{\mathrm{atan}\left(\frac{c}{x}\right)}^2}{2}+a\,b\,c^2\,\mathrm{atan}\left(\frac{c}{x}\right)+a\,b\,x^2\,\mathrm{atan}\left(\frac{c}{x}\right)+b^2\,c\,x\,\mathrm{atan}\left(\frac{c}{x}\right)+a\,b\,c\,x","Not used",1,"(a^2*x^2)/2 + (b^2*c^2*atan(c/x)^2)/2 + (b^2*c^2*log(c^2 + x^2))/2 + (b^2*x^2*atan(c/x)^2)/2 + a*b*c^2*atan(c/x) + a*b*x^2*atan(c/x) + b^2*c*x*atan(c/x) + a*b*c*x","B"
143,0,-1,83,0.000000,"\text{Not used}","int((a + b*atan(c/x))^2,x)","\int {\left(a+b\,\mathrm{atan}\left(\frac{c}{x}\right)\right)}^2 \,d x","Not used",1,"int((a + b*atan(c/x))^2, x)","F"
144,0,-1,148,0.000000,"\text{Not used}","int((a + b*atan(c/x))^2/x,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(\frac{c}{x}\right)\right)}^2}{x} \,d x","Not used",1,"int((a + b*atan(c/x))^2/x, x)","F"
145,0,-1,96,0.000000,"\text{Not used}","int((a + b*atan(c/x))^2/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(\frac{c}{x}\right)\right)}^2}{x^2} \,d x","Not used",1,"int((a + b*atan(c/x))^2/x^2, x)","F"
146,1,143,84,2.748708,"\text{Not used}","int((a + b*atan(c/x))^2/x^3,x)","\frac{b^2\,\ln\left(x\right)-\frac{b^2\,\ln\left(x+c\,1{}\mathrm{i}\right)}{2}-\frac{b^2\,{\mathrm{atan}\left(\frac{c}{x}\right)}^2}{2}+\frac{b^2\,\ln\left(\frac{1}{-x+c\,1{}\mathrm{i}}\right)}{2}+\frac{a\,b\,\ln\left(x+c\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}-\frac{a\,b\,\ln\left(-x+c\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}}{c^2}-\frac{\frac{a^2\,c^2}{2}-x\,\left(c\,\mathrm{atan}\left(\frac{c}{x}\right)\,b^2+a\,c\,b\right)+\frac{b^2\,c^2\,{\mathrm{atan}\left(\frac{c}{x}\right)}^2}{2}+a\,b\,c^2\,\mathrm{atan}\left(\frac{c}{x}\right)}{c^2\,x^2}","Not used",1,"(b^2*log(x) - (b^2*log(c*1i + x))/2 - (b^2*atan(c/x)^2)/2 + (b^2*log(1/(c*1i - x)))/2 + (a*b*log(c*1i + x)*1i)/2 - (a*b*log(c*1i - x)*1i)/2)/c^2 - ((a^2*c^2)/2 - x*(b^2*c*atan(c/x) + a*b*c) + (b^2*c^2*atan(c/x)^2)/2 + a*b*c^2*atan(c/x))/(c^2*x^2)","B"
147,0,-1,214,0.000000,"\text{Not used}","int(x^3*(a + b*atan(c/x))^3,x)","\int x^3\,{\left(a+b\,\mathrm{atan}\left(\frac{c}{x}\right)\right)}^3 \,d x","Not used",1,"int(x^3*(a + b*atan(c/x))^3, x)","F"
148,0,-1,229,0.000000,"\text{Not used}","int(x^2*(a + b*atan(c/x))^3,x)","\int x^2\,{\left(a+b\,\mathrm{atan}\left(\frac{c}{x}\right)\right)}^3 \,d x","Not used",1,"int(x^2*(a + b*atan(c/x))^3, x)","F"
149,0,-1,145,0.000000,"\text{Not used}","int(x*(a + b*atan(c/x))^3,x)","\int x\,{\left(a+b\,\mathrm{atan}\left(\frac{c}{x}\right)\right)}^3 \,d x","Not used",1,"int(x*(a + b*atan(c/x))^3, x)","F"
150,0,-1,119,0.000000,"\text{Not used}","int((a + b*atan(c/x))^3,x)","\int {\left(a+b\,\mathrm{atan}\left(\frac{c}{x}\right)\right)}^3 \,d x","Not used",1,"int((a + b*atan(c/x))^3, x)","F"
151,0,-1,230,0.000000,"\text{Not used}","int((a + b*atan(c/x))^3/x,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(\frac{c}{x}\right)\right)}^3}{x} \,d x","Not used",1,"int((a + b*atan(c/x))^3/x, x)","F"
152,0,-1,136,0.000000,"\text{Not used}","int((a + b*atan(c/x))^3/x^2,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(\frac{c}{x}\right)\right)}^3}{x^2} \,d x","Not used",1,"int((a + b*atan(c/x))^3/x^2, x)","F"
153,0,-1,147,0.000000,"\text{Not used}","int((a + b*atan(c/x))^3/x^3,x)","\int \frac{{\left(a+b\,\mathrm{atan}\left(\frac{c}{x}\right)\right)}^3}{x^3} \,d x","Not used",1,"int((a + b*atan(c/x))^3/x^3, x)","F"
154,1,31,51,0.348816,"\text{Not used}","int(x^2*atan(x^(1/2)),x)","\frac{\mathrm{atan}\left(\sqrt{x}\right)}{3}+\frac{x^3\,\mathrm{atan}\left(\sqrt{x}\right)}{3}-\frac{\sqrt{x}}{3}+\frac{x^{3/2}}{9}-\frac{x^{5/2}}{15}","Not used",1,"atan(x^(1/2))/3 + (x^3*atan(x^(1/2)))/3 - x^(1/2)/3 + x^(3/2)/9 - x^(5/2)/15","B"
155,1,26,42,0.365029,"\text{Not used}","int(x*atan(x^(1/2)),x)","\frac{x^2\,\mathrm{atan}\left(\sqrt{x}\right)}{2}-\frac{\mathrm{atan}\left(\sqrt{x}\right)}{2}+\frac{\sqrt{x}}{2}-\frac{x^{3/2}}{6}","Not used",1,"(x^2*atan(x^(1/2)))/2 - atan(x^(1/2))/2 + x^(1/2)/2 - x^(3/2)/6","B"
156,1,16,22,0.074118,"\text{Not used}","int(atan(x^(1/2)),x)","\mathrm{atan}\left(\sqrt{x}\right)+x\,\mathrm{atan}\left(\sqrt{x}\right)-\sqrt{x}","Not used",1,"atan(x^(1/2)) + x*atan(x^(1/2)) - x^(1/2)","B"
157,1,24,31,0.301846,"\text{Not used}","int(atan(x^(1/2))/x,x)","-{\mathrm{Li}}_{\mathrm{2}}\left(1-\sqrt{x}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}+\mathrm{polylog}\left(2,-\sqrt{x}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"polylog(2, -x^(1/2)*1i)*1i - dilog(1 - x^(1/2)*1i)*1i","B"
158,1,21,27,0.348255,"\text{Not used}","int(atan(x^(1/2))/x^2,x)","-\mathrm{atan}\left(\sqrt{x}\right)-\frac{\mathrm{atan}\left(\sqrt{x}\right)}{x}-\frac{1}{\sqrt{x}}","Not used",1,"- atan(x^(1/2)) - atan(x^(1/2))/x - 1/x^(1/2)","B"
159,1,24,42,0.353447,"\text{Not used}","int(atan(x^(1/2))/x^3,x)","\frac{\mathrm{atan}\left(\sqrt{x}\right)}{2}+\frac{x-\frac{1}{3}}{2\,x^{3/2}}-\frac{\mathrm{atan}\left(\sqrt{x}\right)}{2\,x^2}","Not used",1,"atan(x^(1/2))/2 + (x - 1/3)/(2*x^(3/2)) - atan(x^(1/2))/(2*x^2)","B"
160,1,24,36,0.351343,"\text{Not used}","int(x^(3/2)*atan(x^(1/2)),x)","\frac{x}{5}-\frac{\ln\left(x+1\right)}{5}+\frac{2\,x^{5/2}\,\mathrm{atan}\left(\sqrt{x}\right)}{5}-\frac{x^2}{10}","Not used",1,"x/5 - log(x + 1)/5 + (2*x^(5/2)*atan(x^(1/2)))/5 - x^2/10","B"
161,0,-1,29,0.000000,"\text{Not used}","int(x^(1/2)*atan(x^(1/2)),x)","\int \sqrt{x}\,\mathrm{atan}\left(\sqrt{x}\right) \,d x","Not used",1,"int(x^(1/2)*atan(x^(1/2)), x)","F"
162,1,16,20,0.345528,"\text{Not used}","int(atan(x^(1/2))/x^(1/2),x)","2\,\sqrt{x}\,\mathrm{atan}\left(\sqrt{x}\right)-\ln\left(x+1\right)","Not used",1,"2*x^(1/2)*atan(x^(1/2)) - log(x + 1)","B"
163,1,22,22,0.357982,"\text{Not used}","int(atan(x^(1/2))/x^(3/2),x)","2\,\ln\left(\sqrt{x}\right)-\ln\left(x+1\right)-\frac{2\,\mathrm{atan}\left(\sqrt{x}\right)}{\sqrt{x}}","Not used",1,"2*log(x^(1/2)) - log(x + 1) - (2*atan(x^(1/2)))/x^(1/2)","B"
164,1,27,37,0.354190,"\text{Not used}","int(atan(x^(1/2))/x^(5/2),x)","\frac{\ln\left(x+1\right)}{3}-\frac{2\,\ln\left(\sqrt{x}\right)}{3}-\frac{2\,\mathrm{atan}\left(\sqrt{x}\right)}{3\,x^{3/2}}-\frac{1}{3\,x}","Not used",1,"log(x + 1)/3 - (2*log(x^(1/2)))/3 - (2*atan(x^(1/2)))/(3*x^(3/2)) - 1/(3*x)","B"
165,1,25,33,0.336271,"\text{Not used}","int(atan(a*x^5)/x,x)","\frac{\mathrm{polylog}\left(2,-a\,x^5\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{10}-\frac{\mathrm{polylog}\left(2,a\,x^5\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{10}","Not used",1,"(polylog(2, -a*x^5*1i)*1i)/10 - (polylog(2, a*x^5*1i)*1i)/10","B"
166,0,-1,39,0.000000,"\text{Not used}","int(atan(a*x^n)/x,x)","\int \frac{\mathrm{atan}\left(a\,x^n\right)}{x} \,d x","Not used",1,"int(atan(a*x^n)/x, x)","F"