1,1,21,0,0.004329,"\int \frac{x^2}{(-1+x)^2 (1+x)^2} \, dx","Int[x^2/((-1 + x)^2*(1 + x)^2),x]","\frac{x}{2 \left(1-x^2\right)}-\frac{1}{2} \tanh ^{-1}(x)","\frac{x}{2 \left(1-x^2\right)}-\frac{1}{2} \tanh ^{-1}(x)",1,"x/(2*(1 - x^2)) - ArcTanh[x]/2","A",3,3,14,0.2143,1,"{73, 288, 207}"
2,1,55,0,0.028009,"\int x^2 (a+b x) (a c-b c x)^3 \, dx","Int[x^2*(a + b*x)*(a*c - b*c*x)^3,x]","-\frac{1}{2} a^3 b c^3 x^4+\frac{1}{3} a^4 c^3 x^3+\frac{1}{3} a b^3 c^3 x^6-\frac{1}{7} b^4 c^3 x^7","-\frac{1}{2} a^3 b c^3 x^4+\frac{1}{3} a^4 c^3 x^3+\frac{1}{3} a b^3 c^3 x^6-\frac{1}{7} b^4 c^3 x^7",1,"(a^4*c^3*x^3)/3 - (a^3*b*c^3*x^4)/2 + (a*b^3*c^3*x^6)/3 - (b^4*c^3*x^7)/7","A",2,1,20,0.05000,1,"{75}"
3,1,55,0,0.0231921,"\int x (a+b x) (a c-b c x)^3 \, dx","Int[x*(a + b*x)*(a*c - b*c*x)^3,x]","-\frac{2}{3} a^3 b c^3 x^3+\frac{1}{2} a^4 c^3 x^2+\frac{2}{5} a b^3 c^3 x^5-\frac{1}{6} b^4 c^3 x^6","-\frac{2}{3} a^3 b c^3 x^3+\frac{1}{2} a^4 c^3 x^2+\frac{2}{5} a b^3 c^3 x^5-\frac{1}{6} b^4 c^3 x^6",1,"(a^4*c^3*x^2)/2 - (2*a^3*b*c^3*x^3)/3 + (2*a*b^3*c^3*x^5)/5 - (b^4*c^3*x^6)/6","A",2,1,18,0.05556,1,"{75}"
4,1,38,0,0.013247,"\int (a+b x) (a c-b c x)^3 \, dx","Int[(a + b*x)*(a*c - b*c*x)^3,x]","\frac{c^3 (a-b x)^5}{5 b}-\frac{a c^3 (a-b x)^4}{2 b}","\frac{c^3 (a-b x)^5}{5 b}-\frac{a c^3 (a-b x)^4}{2 b}",1,"-(a*c^3*(a - b*x)^4)/(2*b) + (c^3*(a - b*x)^5)/(5*b)","A",2,1,17,0.05882,1,"{43}"
5,1,47,0,0.0162868,"\int \frac{(a+b x) (a c-b c x)^3}{x} \, dx","Int[((a + b*x)*(a*c - b*c*x)^3)/x,x]","-2 a^3 b c^3 x+a^4 c^3 \log (x)+\frac{2}{3} a b^3 c^3 x^3-\frac{1}{4} b^4 c^3 x^4","-2 a^3 b c^3 x+a^4 c^3 \log (x)+\frac{2}{3} a b^3 c^3 x^3-\frac{1}{4} b^4 c^3 x^4",1,"-2*a^3*b*c^3*x + (2*a*b^3*c^3*x^3)/3 - (b^4*c^3*x^4)/4 + a^4*c^3*Log[x]","A",2,1,20,0.05000,1,"{75}"
6,1,47,0,0.0206908,"\int \frac{(a+b x) (a c-b c x)^3}{x^2} \, dx","Int[((a + b*x)*(a*c - b*c*x)^3)/x^2,x]","-2 a^3 b c^3 \log (x)-\frac{a^4 c^3}{x}+a b^3 c^3 x^2-\frac{1}{3} b^4 c^3 x^3","-2 a^3 b c^3 \log (x)-\frac{a^4 c^3}{x}+a b^3 c^3 x^2-\frac{1}{3} b^4 c^3 x^3",1,"-((a^4*c^3)/x) + a*b^3*c^3*x^2 - (b^4*c^3*x^3)/3 - 2*a^3*b*c^3*Log[x]","A",2,1,20,0.05000,1,"{75}"
7,1,18,0,0.0029245,"\int \frac{(a+b x) (a c-b c x)^3}{x^3} \, dx","Int[((a + b*x)*(a*c - b*c*x)^3)/x^3,x]","-\frac{c^3 (a-b x)^4}{2 x^2}","-\frac{c^3 (a-b x)^4}{2 x^2}",1,"-(c^3*(a - b*x)^4)/(2*x^2)","A",1,1,20,0.05000,1,"{74}"
8,1,45,0,0.0196018,"\int \frac{(a+b x) (a c-b c x)^3}{x^4} \, dx","Int[((a + b*x)*(a*c - b*c*x)^3)/x^4,x]","\frac{a^3 b c^3}{x^2}-\frac{a^4 c^3}{3 x^3}+2 a b^3 c^3 \log (x)-b^4 c^3 x","\frac{a^3 b c^3}{x^2}-\frac{a^4 c^3}{3 x^3}+2 a b^3 c^3 \log (x)-b^4 c^3 x",1,"-(a^4*c^3)/(3*x^3) + (a^3*b*c^3)/x^2 - b^4*c^3*x + 2*a*b^3*c^3*Log[x]","A",2,1,20,0.05000,1,"{75}"
9,1,50,0,0.0208749,"\int \frac{(a+b x) (a c-b c x)^3}{x^5} \, dx","Int[((a + b*x)*(a*c - b*c*x)^3)/x^5,x]","\frac{2 a^3 b c^3}{3 x^3}-\frac{a^4 c^3}{4 x^4}-\frac{2 a b^3 c^3}{x}-b^4 c^3 \log (x)","\frac{2 a^3 b c^3}{3 x^3}-\frac{a^4 c^3}{4 x^4}-\frac{2 a b^3 c^3}{x}-b^4 c^3 \log (x)",1,"-(a^4*c^3)/(4*x^4) + (2*a^3*b*c^3)/(3*x^3) - (2*a*b^3*c^3)/x - b^4*c^3*Log[x]","A",2,1,20,0.05000,1,"{75}"
10,1,50,0,0.0196034,"\int \frac{(a+b x) (a c-b c x)^3}{x^6} \, dx","Int[((a + b*x)*(a*c - b*c*x)^3)/x^6,x]","\frac{a^3 b c^3}{2 x^4}-\frac{a^4 c^3}{5 x^5}-\frac{a b^3 c^3}{x^2}+\frac{b^4 c^3}{x}","\frac{a^3 b c^3}{2 x^4}-\frac{a^4 c^3}{5 x^5}-\frac{a b^3 c^3}{x^2}+\frac{b^4 c^3}{x}",1,"-(a^4*c^3)/(5*x^5) + (a^3*b*c^3)/(2*x^4) - (a*b^3*c^3)/x^2 + (b^4*c^3)/x","A",2,1,20,0.05000,1,"{75}"
11,1,55,0,0.0211831,"\int \frac{(a+b x) (a c-b c x)^3}{x^7} \, dx","Int[((a + b*x)*(a*c - b*c*x)^3)/x^7,x]","\frac{2 a^3 b c^3}{5 x^5}-\frac{a^4 c^3}{6 x^6}-\frac{2 a b^3 c^3}{3 x^3}+\frac{b^4 c^3}{2 x^2}","\frac{2 a^3 b c^3}{5 x^5}-\frac{a^4 c^3}{6 x^6}-\frac{2 a b^3 c^3}{3 x^3}+\frac{b^4 c^3}{2 x^2}",1,"-(a^4*c^3)/(6*x^6) + (2*a^3*b*c^3)/(5*x^5) - (2*a*b^3*c^3)/(3*x^3) + (b^4*c^3)/(2*x^2)","A",2,1,20,0.05000,1,"{75}"
12,1,55,0,0.0199046,"\int \frac{(a+b x) (a c-b c x)^3}{x^8} \, dx","Int[((a + b*x)*(a*c - b*c*x)^3)/x^8,x]","\frac{a^3 b c^3}{3 x^6}-\frac{a^4 c^3}{7 x^7}-\frac{a b^3 c^3}{2 x^4}+\frac{b^4 c^3}{3 x^3}","\frac{a^3 b c^3}{3 x^6}-\frac{a^4 c^3}{7 x^7}-\frac{a b^3 c^3}{2 x^4}+\frac{b^4 c^3}{3 x^3}",1,"-(a^4*c^3)/(7*x^7) + (a^3*b*c^3)/(3*x^6) - (a*b^3*c^3)/(2*x^4) + (b^4*c^3)/(3*x^3)","A",2,1,20,0.05000,1,"{75}"
13,1,87,0,0.0469877,"\int x^4 (a+b x) (a c-b c x)^4 \, dx","Int[x^4*(a + b*x)*(a*c - b*c*x)^4,x]","\frac{1}{4} a^2 b^3 c^4 x^8+\frac{2}{7} a^3 b^2 c^4 x^7-\frac{1}{2} a^4 b c^4 x^6+\frac{1}{5} a^5 c^4 x^5-\frac{1}{3} a b^4 c^4 x^9+\frac{1}{10} b^5 c^4 x^{10}","\frac{1}{4} a^2 b^3 c^4 x^8+\frac{2}{7} a^3 b^2 c^4 x^7-\frac{1}{2} a^4 b c^4 x^6+\frac{1}{5} a^5 c^4 x^5-\frac{1}{3} a b^4 c^4 x^9+\frac{1}{10} b^5 c^4 x^{10}",1,"(a^5*c^4*x^5)/5 - (a^4*b*c^4*x^6)/2 + (2*a^3*b^2*c^4*x^7)/7 + (a^2*b^3*c^4*x^8)/4 - (a*b^4*c^4*x^9)/3 + (b^5*c^4*x^10)/10","A",2,1,20,0.05000,1,"{75}"
14,1,87,0,0.0422777,"\int x^3 (a+b x) (a c-b c x)^4 \, dx","Int[x^3*(a + b*x)*(a*c - b*c*x)^4,x]","\frac{2}{7} a^2 b^3 c^4 x^7+\frac{1}{3} a^3 b^2 c^4 x^6-\frac{3}{5} a^4 b c^4 x^5+\frac{1}{4} a^5 c^4 x^4-\frac{3}{8} a b^4 c^4 x^8+\frac{1}{9} b^5 c^4 x^9","\frac{2}{7} a^2 b^3 c^4 x^7+\frac{1}{3} a^3 b^2 c^4 x^6-\frac{3}{5} a^4 b c^4 x^5+\frac{1}{4} a^5 c^4 x^4-\frac{3}{8} a b^4 c^4 x^8+\frac{1}{9} b^5 c^4 x^9",1,"(a^5*c^4*x^4)/4 - (3*a^4*b*c^4*x^5)/5 + (a^3*b^2*c^4*x^6)/3 + (2*a^2*b^3*c^4*x^7)/7 - (3*a*b^4*c^4*x^8)/8 + (b^5*c^4*x^9)/9","A",2,1,20,0.05000,1,"{75}"
15,1,80,0,0.0387587,"\int x^2 (a+b x) (a c-b c x)^4 \, dx","Int[x^2*(a + b*x)*(a*c - b*c*x)^4,x]","\frac{5 a^2 c^4 (a-b x)^6}{6 b^3}-\frac{2 a^3 c^4 (a-b x)^5}{5 b^3}+\frac{c^4 (a-b x)^8}{8 b^3}-\frac{4 a c^4 (a-b x)^7}{7 b^3}","\frac{5 a^2 c^4 (a-b x)^6}{6 b^3}-\frac{2 a^3 c^4 (a-b x)^5}{5 b^3}+\frac{c^4 (a-b x)^8}{8 b^3}-\frac{4 a c^4 (a-b x)^7}{7 b^3}",1,"(-2*a^3*c^4*(a - b*x)^5)/(5*b^3) + (5*a^2*c^4*(a - b*x)^6)/(6*b^3) - (4*a*c^4*(a - b*x)^7)/(7*b^3) + (c^4*(a - b*x)^8)/(8*b^3)","A",2,1,20,0.05000,1,"{75}"
16,1,59,0,0.0322142,"\int x (a+b x) (a c-b c x)^4 \, dx","Int[x*(a + b*x)*(a*c - b*c*x)^4,x]","-\frac{2 a^2 c^4 (a-b x)^5}{5 b^2}-\frac{c^4 (a-b x)^7}{7 b^2}+\frac{a c^4 (a-b x)^6}{2 b^2}","-\frac{2 a^2 c^4 (a-b x)^5}{5 b^2}-\frac{c^4 (a-b x)^7}{7 b^2}+\frac{a c^4 (a-b x)^6}{2 b^2}",1,"(-2*a^2*c^4*(a - b*x)^5)/(5*b^2) + (a*c^4*(a - b*x)^6)/(2*b^2) - (c^4*(a - b*x)^7)/(7*b^2)","A",2,1,18,0.05556,1,"{75}"
17,1,38,0,0.0114237,"\int (a+b x) (a c-b c x)^4 \, dx","Int[(a + b*x)*(a*c - b*c*x)^4,x]","\frac{c^4 (a-b x)^6}{6 b}-\frac{2 a c^4 (a-b x)^5}{5 b}","\frac{c^4 (a-b x)^6}{6 b}-\frac{2 a c^4 (a-b x)^5}{5 b}",1,"(-2*a*c^4*(a - b*x)^5)/(5*b) + (c^4*(a - b*x)^6)/(6*b)","A",2,1,17,0.05882,1,"{43}"
18,1,76,0,0.0309691,"\int \frac{(a+b x) (a c-b c x)^4}{x} \, dx","Int[((a + b*x)*(a*c - b*c*x)^4)/x,x]","a^3 b^2 c^4 x^2+\frac{2}{3} a^2 b^3 c^4 x^3-3 a^4 b c^4 x+a^5 c^4 \log (x)-\frac{3}{4} a b^4 c^4 x^4+\frac{1}{5} b^5 c^4 x^5","a^3 b^2 c^4 x^2+\frac{2}{3} a^2 b^3 c^4 x^3-3 a^4 b c^4 x+a^5 c^4 \log (x)-\frac{3}{4} a b^4 c^4 x^4+\frac{1}{5} b^5 c^4 x^5",1,"-3*a^4*b*c^4*x + a^3*b^2*c^4*x^2 + (2*a^2*b^3*c^4*x^3)/3 - (3*a*b^4*c^4*x^4)/4 + (b^5*c^4*x^5)/5 + a^5*c^4*Log[x]","A",2,1,20,0.05000,1,"{75}"
19,1,73,0,0.0349168,"\int \frac{(a+b x) (a c-b c x)^4}{x^2} \, dx","Int[((a + b*x)*(a*c - b*c*x)^4)/x^2,x]","a^2 b^3 c^4 x^2+2 a^3 b^2 c^4 x-3 a^4 b c^4 \log (x)-\frac{a^5 c^4}{x}-a b^4 c^4 x^3+\frac{1}{4} b^5 c^4 x^4","a^2 b^3 c^4 x^2+2 a^3 b^2 c^4 x-3 a^4 b c^4 \log (x)-\frac{a^5 c^4}{x}-a b^4 c^4 x^3+\frac{1}{4} b^5 c^4 x^4",1,"-((a^5*c^4)/x) + 2*a^3*b^2*c^4*x + a^2*b^3*c^4*x^2 - a*b^4*c^4*x^3 + (b^5*c^4*x^4)/4 - 3*a^4*b*c^4*Log[x]","A",2,1,20,0.05000,1,"{75}"
20,1,78,0,0.0335186,"\int \frac{(a+b x) (a c-b c x)^4}{x^3} \, dx","Int[((a + b*x)*(a*c - b*c*x)^4)/x^3,x]","2 a^2 b^3 c^4 x+2 a^3 b^2 c^4 \log (x)+\frac{3 a^4 b c^4}{x}-\frac{a^5 c^4}{2 x^2}-\frac{3}{2} a b^4 c^4 x^2+\frac{1}{3} b^5 c^4 x^3","2 a^2 b^3 c^4 x+2 a^3 b^2 c^4 \log (x)+\frac{3 a^4 b c^4}{x}-\frac{a^5 c^4}{2 x^2}-\frac{3}{2} a b^4 c^4 x^2+\frac{1}{3} b^5 c^4 x^3",1,"-(a^5*c^4)/(2*x^2) + (3*a^4*b*c^4)/x + 2*a^2*b^3*c^4*x - (3*a*b^4*c^4*x^2)/2 + (b^5*c^4*x^3)/3 + 2*a^3*b^2*c^4*Log[x]","A",2,1,20,0.05000,1,"{75}"
21,1,78,0,0.0361433,"\int \frac{(a+b x) (a c-b c x)^4}{x^4} \, dx","Int[((a + b*x)*(a*c - b*c*x)^4)/x^4,x]","-\frac{2 a^3 b^2 c^4}{x}+2 a^2 b^3 c^4 \log (x)+\frac{3 a^4 b c^4}{2 x^2}-\frac{a^5 c^4}{3 x^3}-3 a b^4 c^4 x+\frac{1}{2} b^5 c^4 x^2","-\frac{2 a^3 b^2 c^4}{x}+2 a^2 b^3 c^4 \log (x)+\frac{3 a^4 b c^4}{2 x^2}-\frac{a^5 c^4}{3 x^3}-3 a b^4 c^4 x+\frac{1}{2} b^5 c^4 x^2",1,"-(a^5*c^4)/(3*x^3) + (3*a^4*b*c^4)/(2*x^2) - (2*a^3*b^2*c^4)/x - 3*a*b^4*c^4*x + (b^5*c^4*x^2)/2 + 2*a^2*b^3*c^4*Log[x]","A",2,1,20,0.05000,1,"{75}"
22,1,72,0,0.0345822,"\int \frac{(a+b x) (a c-b c x)^4}{x^5} \, dx","Int[((a + b*x)*(a*c - b*c*x)^4)/x^5,x]","-\frac{a^3 b^2 c^4}{x^2}-\frac{2 a^2 b^3 c^4}{x}+\frac{a^4 b c^4}{x^3}-\frac{a^5 c^4}{4 x^4}-3 a b^4 c^4 \log (x)+b^5 c^4 x","-\frac{a^3 b^2 c^4}{x^2}-\frac{2 a^2 b^3 c^4}{x}+\frac{a^4 b c^4}{x^3}-\frac{a^5 c^4}{4 x^4}-3 a b^4 c^4 \log (x)+b^5 c^4 x",1,"-(a^5*c^4)/(4*x^4) + (a^4*b*c^4)/x^3 - (a^3*b^2*c^4)/x^2 - (2*a^2*b^3*c^4)/x + b^5*c^4*x - 3*a*b^4*c^4*Log[x]","A",2,1,20,0.05000,1,"{75}"
23,1,79,0,0.0354897,"\int \frac{(a+b x) (a c-b c x)^4}{x^6} \, dx","Int[((a + b*x)*(a*c - b*c*x)^4)/x^6,x]","-\frac{2 a^3 b^2 c^4}{3 x^3}-\frac{a^2 b^3 c^4}{x^2}+\frac{3 a^4 b c^4}{4 x^4}-\frac{a^5 c^4}{5 x^5}+\frac{3 a b^4 c^4}{x}+b^5 c^4 \log (x)","-\frac{2 a^3 b^2 c^4}{3 x^3}-\frac{a^2 b^3 c^4}{x^2}+\frac{3 a^4 b c^4}{4 x^4}-\frac{a^5 c^4}{5 x^5}+\frac{3 a b^4 c^4}{x}+b^5 c^4 \log (x)",1,"-(a^5*c^4)/(5*x^5) + (3*a^4*b*c^4)/(4*x^4) - (2*a^3*b^2*c^4)/(3*x^3) - (a^2*b^3*c^4)/x^2 + (3*a*b^4*c^4)/x + b^5*c^4*Log[x]","A",2,1,20,0.05000,1,"{75}"
24,1,41,0,0.0084508,"\int \frac{(a+b x) (a c-b c x)^4}{x^7} \, dx","Int[((a + b*x)*(a*c - b*c*x)^4)/x^7,x]","-\frac{7 b c^4 (a-b x)^5}{30 a x^5}-\frac{c^4 (a-b x)^5}{6 x^6}","-\frac{7 b c^4 (a-b x)^5}{30 a x^5}-\frac{c^4 (a-b x)^5}{6 x^6}",1,"-(c^4*(a - b*x)^5)/(6*x^6) - (7*b*c^4*(a - b*x)^5)/(30*a*x^5)","A",2,2,20,0.1000,1,"{78, 37}"
25,1,84,0,0.0328864,"\int \frac{(a+b x) (a c-b c x)^4}{x^8} \, dx","Int[((a + b*x)*(a*c - b*c*x)^4)/x^8,x]","-\frac{2 a^3 b^2 c^4}{5 x^5}-\frac{a^2 b^3 c^4}{2 x^4}+\frac{a^4 b c^4}{2 x^6}-\frac{a^5 c^4}{7 x^7}+\frac{a b^4 c^4}{x^3}-\frac{b^5 c^4}{2 x^2}","-\frac{2 a^3 b^2 c^4}{5 x^5}-\frac{a^2 b^3 c^4}{2 x^4}+\frac{a^4 b c^4}{2 x^6}-\frac{a^5 c^4}{7 x^7}+\frac{a b^4 c^4}{x^3}-\frac{b^5 c^4}{2 x^2}",1,"-(a^5*c^4)/(7*x^7) + (a^4*b*c^4)/(2*x^6) - (2*a^3*b^2*c^4)/(5*x^5) - (a^2*b^3*c^4)/(2*x^4) + (a*b^4*c^4)/x^3 - (b^5*c^4)/(2*x^2)","A",2,1,20,0.05000,1,"{75}"
26,1,87,0,0.0353926,"\int \frac{(a+b x) (a c-b c x)^4}{x^9} \, dx","Int[((a + b*x)*(a*c - b*c*x)^4)/x^9,x]","-\frac{a^3 b^2 c^4}{3 x^6}-\frac{2 a^2 b^3 c^4}{5 x^5}+\frac{3 a^4 b c^4}{7 x^7}-\frac{a^5 c^4}{8 x^8}+\frac{3 a b^4 c^4}{4 x^4}-\frac{b^5 c^4}{3 x^3}","-\frac{a^3 b^2 c^4}{3 x^6}-\frac{2 a^2 b^3 c^4}{5 x^5}+\frac{3 a^4 b c^4}{7 x^7}-\frac{a^5 c^4}{8 x^8}+\frac{3 a b^4 c^4}{4 x^4}-\frac{b^5 c^4}{3 x^3}",1,"-(a^5*c^4)/(8*x^8) + (3*a^4*b*c^4)/(7*x^7) - (a^3*b^2*c^4)/(3*x^6) - (2*a^2*b^3*c^4)/(5*x^5) + (3*a*b^4*c^4)/(4*x^4) - (b^5*c^4)/(3*x^3)","A",2,1,20,0.05000,1,"{75}"
27,1,87,0,0.0477253,"\int x^4 (a+b x) (a c-b c x)^5 \, dx","Int[x^4*(a + b*x)*(a*c - b*c*x)^5,x]","-\frac{5}{9} a^2 b^4 c^5 x^9+\frac{5}{7} a^4 b^2 c^5 x^7-\frac{2}{3} a^5 b c^5 x^6+\frac{1}{5} a^6 c^5 x^5+\frac{2}{5} a b^5 c^5 x^{10}-\frac{1}{11} b^6 c^5 x^{11}","-\frac{5}{9} a^2 b^4 c^5 x^9+\frac{5}{7} a^4 b^2 c^5 x^7-\frac{2}{3} a^5 b c^5 x^6+\frac{1}{5} a^6 c^5 x^5+\frac{2}{5} a b^5 c^5 x^{10}-\frac{1}{11} b^6 c^5 x^{11}",1,"(a^6*c^5*x^5)/5 - (2*a^5*b*c^5*x^6)/3 + (5*a^4*b^2*c^5*x^7)/7 - (5*a^2*b^4*c^5*x^9)/9 + (2*a*b^5*c^5*x^10)/5 - (b^6*c^5*x^11)/11","A",2,1,20,0.05000,1,"{75}"
28,1,87,0,0.0401473,"\int x^3 (a+b x) (a c-b c x)^5 \, dx","Int[x^3*(a + b*x)*(a*c - b*c*x)^5,x]","-\frac{5}{8} a^2 b^4 c^5 x^8+\frac{5}{6} a^4 b^2 c^5 x^6-\frac{4}{5} a^5 b c^5 x^5+\frac{1}{4} a^6 c^5 x^4+\frac{4}{9} a b^5 c^5 x^9-\frac{1}{10} b^6 c^5 x^{10}","-\frac{5}{8} a^2 b^4 c^5 x^8+\frac{5}{6} a^4 b^2 c^5 x^6-\frac{4}{5} a^5 b c^5 x^5+\frac{1}{4} a^6 c^5 x^4+\frac{4}{9} a b^5 c^5 x^9-\frac{1}{10} b^6 c^5 x^{10}",1,"(a^6*c^5*x^4)/4 - (4*a^5*b*c^5*x^5)/5 + (5*a^4*b^2*c^5*x^6)/6 - (5*a^2*b^4*c^5*x^8)/8 + (4*a*b^5*c^5*x^9)/9 - (b^6*c^5*x^10)/10","A",2,1,20,0.05000,1,"{75}"
29,1,80,0,0.0411217,"\int x^2 (a+b x) (a c-b c x)^5 \, dx","Int[x^2*(a + b*x)*(a*c - b*c*x)^5,x]","\frac{5 a^2 c^5 (a-b x)^7}{7 b^3}-\frac{a^3 c^5 (a-b x)^6}{3 b^3}+\frac{c^5 (a-b x)^9}{9 b^3}-\frac{a c^5 (a-b x)^8}{2 b^3}","\frac{5 a^2 c^5 (a-b x)^7}{7 b^3}-\frac{a^3 c^5 (a-b x)^6}{3 b^3}+\frac{c^5 (a-b x)^9}{9 b^3}-\frac{a c^5 (a-b x)^8}{2 b^3}",1,"-(a^3*c^5*(a - b*x)^6)/(3*b^3) + (5*a^2*c^5*(a - b*x)^7)/(7*b^3) - (a*c^5*(a - b*x)^8)/(2*b^3) + (c^5*(a - b*x)^9)/(9*b^3)","A",2,1,20,0.05000,1,"{75}"
30,1,59,0,0.0304457,"\int x (a+b x) (a c-b c x)^5 \, dx","Int[x*(a + b*x)*(a*c - b*c*x)^5,x]","-\frac{a^2 c^5 (a-b x)^6}{3 b^2}-\frac{c^5 (a-b x)^8}{8 b^2}+\frac{3 a c^5 (a-b x)^7}{7 b^2}","-\frac{a^2 c^5 (a-b x)^6}{3 b^2}-\frac{c^5 (a-b x)^8}{8 b^2}+\frac{3 a c^5 (a-b x)^7}{7 b^2}",1,"-(a^2*c^5*(a - b*x)^6)/(3*b^2) + (3*a*c^5*(a - b*x)^7)/(7*b^2) - (c^5*(a - b*x)^8)/(8*b^2)","A",2,1,18,0.05556,1,"{75}"
31,1,38,0,0.0118678,"\int (a+b x) (a c-b c x)^5 \, dx","Int[(a + b*x)*(a*c - b*c*x)^5,x]","\frac{c^5 (a-b x)^7}{7 b}-\frac{a c^5 (a-b x)^6}{3 b}","\frac{c^5 (a-b x)^7}{7 b}-\frac{a c^5 (a-b x)^6}{3 b}",1,"-(a*c^5*(a - b*x)^6)/(3*b) + (c^5*(a - b*x)^7)/(7*b)","A",2,1,17,0.05882,1,"{43}"
32,1,79,0,0.030425,"\int \frac{(a+b x) (a c-b c x)^5}{x} \, dx","Int[((a + b*x)*(a*c - b*c*x)^5)/x,x]","\frac{5}{2} a^4 b^2 c^5 x^2-\frac{5}{4} a^2 b^4 c^5 x^4-4 a^5 b c^5 x+a^6 c^5 \log (x)+\frac{4}{5} a b^5 c^5 x^5-\frac{1}{6} b^6 c^5 x^6","\frac{5}{2} a^4 b^2 c^5 x^2-\frac{5}{4} a^2 b^4 c^5 x^4-4 a^5 b c^5 x+a^6 c^5 \log (x)+\frac{4}{5} a b^5 c^5 x^5-\frac{1}{6} b^6 c^5 x^6",1,"-4*a^5*b*c^5*x + (5*a^4*b^2*c^5*x^2)/2 - (5*a^2*b^4*c^5*x^4)/4 + (4*a*b^5*c^5*x^5)/5 - (b^6*c^5*x^6)/6 + a^6*c^5*Log[x]","A",2,1,20,0.05000,1,"{75}"
33,1,75,0,0.0355075,"\int \frac{(a+b x) (a c-b c x)^5}{x^2} \, dx","Int[((a + b*x)*(a*c - b*c*x)^5)/x^2,x]","-\frac{5}{3} a^2 b^4 c^5 x^3+5 a^4 b^2 c^5 x-4 a^5 b c^5 \log (x)-\frac{a^6 c^5}{x}+a b^5 c^5 x^4-\frac{1}{5} b^6 c^5 x^5","-\frac{5}{3} a^2 b^4 c^5 x^3+5 a^4 b^2 c^5 x-4 a^5 b c^5 \log (x)-\frac{a^6 c^5}{x}+a b^5 c^5 x^4-\frac{1}{5} b^6 c^5 x^5",1,"-((a^6*c^5)/x) + 5*a^4*b^2*c^5*x - (5*a^2*b^4*c^5*x^3)/3 + a*b^5*c^5*x^4 - (b^6*c^5*x^5)/5 - 4*a^5*b*c^5*Log[x]","A",2,1,20,0.05000,1,"{75}"
34,1,82,0,0.036217,"\int \frac{(a+b x) (a c-b c x)^5}{x^3} \, dx","Int[((a + b*x)*(a*c - b*c*x)^5)/x^3,x]","-\frac{5}{2} a^2 b^4 c^5 x^2+5 a^4 b^2 c^5 \log (x)+\frac{4 a^5 b c^5}{x}-\frac{a^6 c^5}{2 x^2}+\frac{4}{3} a b^5 c^5 x^3-\frac{1}{4} b^6 c^5 x^4","-\frac{5}{2} a^2 b^4 c^5 x^2+5 a^4 b^2 c^5 \log (x)+\frac{4 a^5 b c^5}{x}-\frac{a^6 c^5}{2 x^2}+\frac{4}{3} a b^5 c^5 x^3-\frac{1}{4} b^6 c^5 x^4",1,"-(a^6*c^5)/(2*x^2) + (4*a^5*b*c^5)/x - (5*a^2*b^4*c^5*x^2)/2 + (4*a*b^5*c^5*x^3)/3 - (b^6*c^5*x^4)/4 + 5*a^4*b^2*c^5*Log[x]","A",2,1,20,0.05000,1,"{75}"
35,1,18,0,0.0024814,"\int \frac{(a+b x) (a c-b c x)^5}{x^4} \, dx","Int[((a + b*x)*(a*c - b*c*x)^5)/x^4,x]","-\frac{c^5 (a-b x)^6}{3 x^3}","-\frac{c^5 (a-b x)^6}{3 x^3}",1,"-(c^5*(a - b*x)^6)/(3*x^3)","A",1,1,20,0.05000,1,"{74}"
36,1,80,0,0.0349633,"\int \frac{(a+b x) (a c-b c x)^5}{x^5} \, dx","Int[((a + b*x)*(a*c - b*c*x)^5)/x^5,x]","-\frac{5 a^4 b^2 c^5}{2 x^2}-5 a^2 b^4 c^5 \log (x)+\frac{4 a^5 b c^5}{3 x^3}-\frac{a^6 c^5}{4 x^4}+4 a b^5 c^5 x-\frac{1}{2} b^6 c^5 x^2","-\frac{5 a^4 b^2 c^5}{2 x^2}-5 a^2 b^4 c^5 \log (x)+\frac{4 a^5 b c^5}{3 x^3}-\frac{a^6 c^5}{4 x^4}+4 a b^5 c^5 x-\frac{1}{2} b^6 c^5 x^2",1,"-(a^6*c^5)/(4*x^4) + (4*a^5*b*c^5)/(3*x^3) - (5*a^4*b^2*c^5)/(2*x^2) + 4*a*b^5*c^5*x - (b^6*c^5*x^2)/2 - 5*a^2*b^4*c^5*Log[x]","A",2,1,20,0.05000,1,"{75}"
37,1,75,0,0.0340368,"\int \frac{(a+b x) (a c-b c x)^5}{x^6} \, dx","Int[((a + b*x)*(a*c - b*c*x)^5)/x^6,x]","-\frac{5 a^4 b^2 c^5}{3 x^3}+\frac{5 a^2 b^4 c^5}{x}+\frac{a^5 b c^5}{x^4}-\frac{a^6 c^5}{5 x^5}+4 a b^5 c^5 \log (x)-b^6 c^5 x","-\frac{5 a^4 b^2 c^5}{3 x^3}+\frac{5 a^2 b^4 c^5}{x}+\frac{a^5 b c^5}{x^4}-\frac{a^6 c^5}{5 x^5}+4 a b^5 c^5 \log (x)-b^6 c^5 x",1,"-(a^6*c^5)/(5*x^5) + (a^5*b*c^5)/x^4 - (5*a^4*b^2*c^5)/(3*x^3) + (5*a^2*b^4*c^5)/x - b^6*c^5*x + 4*a*b^5*c^5*Log[x]","A",2,1,20,0.05000,1,"{75}"
38,1,82,0,0.0351833,"\int \frac{(a+b x) (a c-b c x)^5}{x^7} \, dx","Int[((a + b*x)*(a*c - b*c*x)^5)/x^7,x]","-\frac{5 a^4 b^2 c^5}{4 x^4}+\frac{5 a^2 b^4 c^5}{2 x^2}+\frac{4 a^5 b c^5}{5 x^5}-\frac{a^6 c^5}{6 x^6}-\frac{4 a b^5 c^5}{x}-b^6 c^5 \log (x)","-\frac{5 a^4 b^2 c^5}{4 x^4}+\frac{5 a^2 b^4 c^5}{2 x^2}+\frac{4 a^5 b c^5}{5 x^5}-\frac{a^6 c^5}{6 x^6}-\frac{4 a b^5 c^5}{x}-b^6 c^5 \log (x)",1,"-(a^6*c^5)/(6*x^6) + (4*a^5*b*c^5)/(5*x^5) - (5*a^4*b^2*c^5)/(4*x^4) + (5*a^2*b^4*c^5)/(2*x^2) - (4*a*b^5*c^5)/x - b^6*c^5*Log[x]","A",2,1,20,0.05000,1,"{75}"
39,1,41,0,0.0077355,"\int \frac{(a+b x) (a c-b c x)^5}{x^8} \, dx","Int[((a + b*x)*(a*c - b*c*x)^5)/x^8,x]","-\frac{4 b c^5 (a-b x)^6}{21 a x^6}-\frac{c^5 (a-b x)^6}{7 x^7}","-\frac{4 b c^5 (a-b x)^6}{21 a x^6}-\frac{c^5 (a-b x)^6}{7 x^7}",1,"-(c^5*(a - b*x)^6)/(7*x^7) - (4*b*c^5*(a - b*x)^6)/(21*a*x^6)","A",2,2,20,0.1000,1,"{78, 37}"
40,1,65,0,0.0166091,"\int \frac{(a+b x) (a c-b c x)^5}{x^9} \, dx","Int[((a + b*x)*(a*c - b*c*x)^5)/x^9,x]","-\frac{5 b^2 c^5 (a-b x)^6}{168 a^2 x^6}-\frac{5 b c^5 (a-b x)^6}{28 a x^7}-\frac{c^5 (a-b x)^6}{8 x^8}","-\frac{5 b^2 c^5 (a-b x)^6}{168 a^2 x^6}-\frac{5 b c^5 (a-b x)^6}{28 a x^7}-\frac{c^5 (a-b x)^6}{8 x^8}",1,"-(c^5*(a - b*x)^6)/(8*x^8) - (5*b*c^5*(a - b*x)^6)/(28*a*x^7) - (5*b^2*c^5*(a - b*x)^6)/(168*a^2*x^6)","A",3,3,20,0.1500,1,"{78, 45, 37}"
41,1,82,0,0.0357538,"\int \frac{(a+b x) (a c-b c x)^5}{x^{10}} \, dx","Int[((a + b*x)*(a*c - b*c*x)^5)/x^10,x]","-\frac{5 a^4 b^2 c^5}{7 x^7}+\frac{a^2 b^4 c^5}{x^5}+\frac{a^5 b c^5}{2 x^8}-\frac{a^6 c^5}{9 x^9}-\frac{a b^5 c^5}{x^4}+\frac{b^6 c^5}{3 x^3}","-\frac{5 a^4 b^2 c^5}{7 x^7}+\frac{a^2 b^4 c^5}{x^5}+\frac{a^5 b c^5}{2 x^8}-\frac{a^6 c^5}{9 x^9}-\frac{a b^5 c^5}{x^4}+\frac{b^6 c^5}{3 x^3}",1,"-(a^6*c^5)/(9*x^9) + (a^5*b*c^5)/(2*x^8) - (5*a^4*b^2*c^5)/(7*x^7) + (a^2*b^4*c^5)/x^5 - (a*b^5*c^5)/x^4 + (b^6*c^5)/(3*x^3)","A",2,1,20,0.05000,1,"{75}"
42,1,87,0,0.0334295,"\int \frac{(a+b x) (a c-b c x)^5}{x^{11}} \, dx","Int[((a + b*x)*(a*c - b*c*x)^5)/x^11,x]","-\frac{5 a^4 b^2 c^5}{8 x^8}+\frac{5 a^2 b^4 c^5}{6 x^6}+\frac{4 a^5 b c^5}{9 x^9}-\frac{a^6 c^5}{10 x^{10}}-\frac{4 a b^5 c^5}{5 x^5}+\frac{b^6 c^5}{4 x^4}","-\frac{5 a^4 b^2 c^5}{8 x^8}+\frac{5 a^2 b^4 c^5}{6 x^6}+\frac{4 a^5 b c^5}{9 x^9}-\frac{a^6 c^5}{10 x^{10}}-\frac{4 a b^5 c^5}{5 x^5}+\frac{b^6 c^5}{4 x^4}",1,"-(a^6*c^5)/(10*x^10) + (4*a^5*b*c^5)/(9*x^9) - (5*a^4*b^2*c^5)/(8*x^8) + (5*a^2*b^4*c^5)/(6*x^6) - (4*a*b^5*c^5)/(5*x^5) + (b^6*c^5)/(4*x^4)","A",2,1,20,0.05000,1,"{75}"
43,1,87,0,0.0345958,"\int \frac{(a+b x) (a c-b c x)^5}{x^{12}} \, dx","Int[((a + b*x)*(a*c - b*c*x)^5)/x^12,x]","-\frac{5 a^4 b^2 c^5}{9 x^9}+\frac{5 a^2 b^4 c^5}{7 x^7}+\frac{2 a^5 b c^5}{5 x^{10}}-\frac{a^6 c^5}{11 x^{11}}-\frac{2 a b^5 c^5}{3 x^6}+\frac{b^6 c^5}{5 x^5}","-\frac{5 a^4 b^2 c^5}{9 x^9}+\frac{5 a^2 b^4 c^5}{7 x^7}+\frac{2 a^5 b c^5}{5 x^{10}}-\frac{a^6 c^5}{11 x^{11}}-\frac{2 a b^5 c^5}{3 x^6}+\frac{b^6 c^5}{5 x^5}",1,"-(a^6*c^5)/(11*x^11) + (2*a^5*b*c^5)/(5*x^10) - (5*a^4*b^2*c^5)/(9*x^9) + (5*a^2*b^4*c^5)/(7*x^7) - (2*a*b^5*c^5)/(3*x^6) + (b^6*c^5)/(5*x^5)","A",2,1,20,0.05000,1,"{75}"
44,1,113,0,0.0616419,"\int \frac{(a+b x) (a c-b c x)^6}{x^8} \, dx","Int[((a + b*x)*(a*c - b*c*x)^6)/x^8,x]","-\frac{9 a^5 b^2 c^6}{5 x^5}+\frac{5 a^4 b^3 c^6}{4 x^4}+\frac{5 a^3 b^4 c^6}{3 x^3}-\frac{9 a^2 b^5 c^6}{2 x^2}+\frac{5 a^6 b c^6}{6 x^6}-\frac{a^7 c^6}{7 x^7}+\frac{5 a b^6 c^6}{x}+b^7 c^6 \log (x)","-\frac{9 a^5 b^2 c^6}{5 x^5}+\frac{5 a^4 b^3 c^6}{4 x^4}+\frac{5 a^3 b^4 c^6}{3 x^3}-\frac{9 a^2 b^5 c^6}{2 x^2}+\frac{5 a^6 b c^6}{6 x^6}-\frac{a^7 c^6}{7 x^7}+\frac{5 a b^6 c^6}{x}+b^7 c^6 \log (x)",1,"-(a^7*c^6)/(7*x^7) + (5*a^6*b*c^6)/(6*x^6) - (9*a^5*b^2*c^6)/(5*x^5) + (5*a^4*b^3*c^6)/(4*x^4) + (5*a^3*b^4*c^6)/(3*x^3) - (9*a^2*b^5*c^6)/(2*x^2) + (5*a*b^6*c^6)/x + b^7*c^6*Log[x]","A",2,1,20,0.05000,1,"{75}"
45,1,41,0,0.0075868,"\int \frac{(a+b x) (a c-b c x)^6}{x^9} \, dx","Int[((a + b*x)*(a*c - b*c*x)^6)/x^9,x]","-\frac{9 b c^6 (a-b x)^7}{56 a x^7}-\frac{c^6 (a-b x)^7}{8 x^8}","-\frac{9 b c^6 (a-b x)^7}{56 a x^7}-\frac{c^6 (a-b x)^7}{8 x^8}",1,"-(c^6*(a - b*x)^7)/(8*x^8) - (9*b*c^6*(a - b*x)^7)/(56*a*x^7)","A",2,2,20,0.1000,1,"{78, 37}"
46,1,65,0,0.0160827,"\int \frac{(a+b x) (a c-b c x)^6}{x^{10}} \, dx","Int[((a + b*x)*(a*c - b*c*x)^6)/x^10,x]","-\frac{11 b^2 c^6 (a-b x)^7}{504 a^2 x^7}-\frac{11 b c^6 (a-b x)^7}{72 a x^8}-\frac{c^6 (a-b x)^7}{9 x^9}","-\frac{11 b^2 c^6 (a-b x)^7}{504 a^2 x^7}-\frac{11 b c^6 (a-b x)^7}{72 a x^8}-\frac{c^6 (a-b x)^7}{9 x^9}",1,"-(c^6*(a - b*x)^7)/(9*x^9) - (11*b*c^6*(a - b*x)^7)/(72*a*x^8) - (11*b^2*c^6*(a - b*x)^7)/(504*a^2*x^7)","A",3,3,20,0.1500,1,"{78, 45, 37}"
47,1,89,0,0.0241516,"\int \frac{(a+b x) (a c-b c x)^6}{x^{11}} \, dx","Int[((a + b*x)*(a*c - b*c*x)^6)/x^11,x]","-\frac{13 b^3 c^6 (a-b x)^7}{2520 a^3 x^7}-\frac{13 b^2 c^6 (a-b x)^7}{360 a^2 x^8}-\frac{13 b c^6 (a-b x)^7}{90 a x^9}-\frac{c^6 (a-b x)^7}{10 x^{10}}","-\frac{13 b^3 c^6 (a-b x)^7}{2520 a^3 x^7}-\frac{13 b^2 c^6 (a-b x)^7}{360 a^2 x^8}-\frac{13 b c^6 (a-b x)^7}{90 a x^9}-\frac{c^6 (a-b x)^7}{10 x^{10}}",1,"-(c^6*(a - b*x)^7)/(10*x^10) - (13*b*c^6*(a - b*x)^7)/(90*a*x^9) - (13*b^2*c^6*(a - b*x)^7)/(360*a^2*x^8) - (13*b^3*c^6*(a - b*x)^7)/(2520*a^3*x^7)","A",4,3,20,0.1500,1,"{78, 45, 37}"
48,1,114,0,0.0535377,"\int \frac{(a+b x) (a c-b c x)^6}{x^{12}} \, dx","Int[((a + b*x)*(a*c - b*c*x)^6)/x^12,x]","-\frac{a^5 b^2 c^6}{x^9}+\frac{5 a^4 b^3 c^6}{8 x^8}+\frac{5 a^3 b^4 c^6}{7 x^7}-\frac{3 a^2 b^5 c^6}{2 x^6}+\frac{a^6 b c^6}{2 x^{10}}-\frac{a^7 c^6}{11 x^{11}}+\frac{a b^6 c^6}{x^5}-\frac{b^7 c^6}{4 x^4}","-\frac{a^5 b^2 c^6}{x^9}+\frac{5 a^4 b^3 c^6}{8 x^8}+\frac{5 a^3 b^4 c^6}{7 x^7}-\frac{3 a^2 b^5 c^6}{2 x^6}+\frac{a^6 b c^6}{2 x^{10}}-\frac{a^7 c^6}{11 x^{11}}+\frac{a b^6 c^6}{x^5}-\frac{b^7 c^6}{4 x^4}",1,"-(a^7*c^6)/(11*x^11) + (a^6*b*c^6)/(2*x^10) - (a^5*b^2*c^6)/x^9 + (5*a^4*b^3*c^6)/(8*x^8) + (5*a^3*b^4*c^6)/(7*x^7) - (3*a^2*b^5*c^6)/(2*x^6) + (a*b^6*c^6)/x^5 - (b^7*c^6)/(4*x^4)","A",2,1,20,0.05000,1,"{75}"
49,1,119,0,0.0552477,"\int \frac{(a+b x) (a c-b c x)^6}{x^{13}} \, dx","Int[((a + b*x)*(a*c - b*c*x)^6)/x^13,x]","-\frac{9 a^5 b^2 c^6}{10 x^{10}}+\frac{5 a^4 b^3 c^6}{9 x^9}+\frac{5 a^3 b^4 c^6}{8 x^8}-\frac{9 a^2 b^5 c^6}{7 x^7}+\frac{5 a^6 b c^6}{11 x^{11}}-\frac{a^7 c^6}{12 x^{12}}+\frac{5 a b^6 c^6}{6 x^6}-\frac{b^7 c^6}{5 x^5}","-\frac{9 a^5 b^2 c^6}{10 x^{10}}+\frac{5 a^4 b^3 c^6}{9 x^9}+\frac{5 a^3 b^4 c^6}{8 x^8}-\frac{9 a^2 b^5 c^6}{7 x^7}+\frac{5 a^6 b c^6}{11 x^{11}}-\frac{a^7 c^6}{12 x^{12}}+\frac{5 a b^6 c^6}{6 x^6}-\frac{b^7 c^6}{5 x^5}",1,"-(a^7*c^6)/(12*x^12) + (5*a^6*b*c^6)/(11*x^11) - (9*a^5*b^2*c^6)/(10*x^10) + (5*a^4*b^3*c^6)/(9*x^9) + (5*a^3*b^4*c^6)/(8*x^8) - (9*a^2*b^5*c^6)/(7*x^7) + (5*a*b^6*c^6)/(6*x^6) - (b^7*c^6)/(5*x^5)","A",2,1,20,0.05000,1,"{75}"
50,1,106,0,0.0812784,"\int \frac{(e x)^{5/2}}{(a+b x) (a c-b c x)} \, dx","Int[(e*x)^(5/2)/((a + b*x)*(a*c - b*c*x)),x]","-\frac{a^{3/2} e^{5/2} \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{b^{7/2} c}+\frac{a^{3/2} e^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{b^{7/2} c}-\frac{2 e (e x)^{3/2}}{3 b^2 c}","-\frac{a^{3/2} e^{5/2} \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{b^{7/2} c}+\frac{a^{3/2} e^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{b^{7/2} c}-\frac{2 e (e x)^{3/2}}{3 b^2 c}",1,"(-2*e*(e*x)^(3/2))/(3*b^2*c) - (a^(3/2)*e^(5/2)*ArcTan[(Sqrt[b]*Sqrt[e*x])/(Sqrt[a]*Sqrt[e])])/(b^(7/2)*c) + (a^(3/2)*e^(5/2)*ArcTanh[(Sqrt[b]*Sqrt[e*x])/(Sqrt[a]*Sqrt[e])])/(b^(7/2)*c)","A",6,6,26,0.2308,1,"{73, 321, 329, 298, 205, 208}"
51,1,103,0,0.0730234,"\int \frac{(e x)^{3/2}}{(a+b x) (a c-b c x)} \, dx","Int[(e*x)^(3/2)/((a + b*x)*(a*c - b*c*x)),x]","\frac{\sqrt{a} e^{3/2} \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{b^{5/2} c}+\frac{\sqrt{a} e^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{b^{5/2} c}-\frac{2 e \sqrt{e x}}{b^2 c}","\frac{\sqrt{a} e^{3/2} \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{b^{5/2} c}+\frac{\sqrt{a} e^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{b^{5/2} c}-\frac{2 e \sqrt{e x}}{b^2 c}",1,"(-2*e*Sqrt[e*x])/(b^2*c) + (Sqrt[a]*e^(3/2)*ArcTan[(Sqrt[b]*Sqrt[e*x])/(Sqrt[a]*Sqrt[e])])/(b^(5/2)*c) + (Sqrt[a]*e^(3/2)*ArcTanh[(Sqrt[b]*Sqrt[e*x])/(Sqrt[a]*Sqrt[e])])/(b^(5/2)*c)","A",6,6,26,0.2308,1,"{73, 321, 329, 212, 208, 205}"
52,1,88,0,0.0470194,"\int \frac{\sqrt{e x}}{(a+b x) (a c-b c x)} \, dx","Int[Sqrt[e*x]/((a + b*x)*(a*c - b*c*x)),x]","\frac{\sqrt{e} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{\sqrt{a} b^{3/2} c}-\frac{\sqrt{e} \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{\sqrt{a} b^{3/2} c}","\frac{\sqrt{e} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{\sqrt{a} b^{3/2} c}-\frac{\sqrt{e} \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{\sqrt{a} b^{3/2} c}",1,"-((Sqrt[e]*ArcTan[(Sqrt[b]*Sqrt[e*x])/(Sqrt[a]*Sqrt[e])])/(Sqrt[a]*b^(3/2)*c)) + (Sqrt[e]*ArcTanh[(Sqrt[b]*Sqrt[e*x])/(Sqrt[a]*Sqrt[e])])/(Sqrt[a]*b^(3/2)*c)","A",5,5,26,0.1923,1,"{73, 329, 298, 205, 208}"
53,1,87,0,0.0489624,"\int \frac{1}{\sqrt{e x} (a+b x) (a c-b c x)} \, dx","Int[1/(Sqrt[e*x]*(a + b*x)*(a*c - b*c*x)),x]","\frac{\tan ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{a^{3/2} \sqrt{b} c \sqrt{e}}+\frac{\tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{a^{3/2} \sqrt{b} c \sqrt{e}}","\frac{\tan ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{a^{3/2} \sqrt{b} c \sqrt{e}}+\frac{\tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{a^{3/2} \sqrt{b} c \sqrt{e}}",1,"ArcTan[(Sqrt[b]*Sqrt[e*x])/(Sqrt[a]*Sqrt[e])]/(a^(3/2)*Sqrt[b]*c*Sqrt[e]) + ArcTanh[(Sqrt[b]*Sqrt[e*x])/(Sqrt[a]*Sqrt[e])]/(a^(3/2)*Sqrt[b]*c*Sqrt[e])","A",5,5,26,0.1923,1,"{73, 329, 212, 208, 205}"
54,1,106,0,0.0690417,"\int \frac{1}{(e x)^{3/2} (a+b x) (a c-b c x)} \, dx","Int[1/((e*x)^(3/2)*(a + b*x)*(a*c - b*c*x)),x]","-\frac{\sqrt{b} \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{a^{5/2} c e^{3/2}}+\frac{\sqrt{b} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{a^{5/2} c e^{3/2}}-\frac{2}{a^2 c e \sqrt{e x}}","-\frac{\sqrt{b} \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{a^{5/2} c e^{3/2}}+\frac{\sqrt{b} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{a^{5/2} c e^{3/2}}-\frac{2}{a^2 c e \sqrt{e x}}",1,"-2/(a^2*c*e*Sqrt[e*x]) - (Sqrt[b]*ArcTan[(Sqrt[b]*Sqrt[e*x])/(Sqrt[a]*Sqrt[e])])/(a^(5/2)*c*e^(3/2)) + (Sqrt[b]*ArcTanh[(Sqrt[b]*Sqrt[e*x])/(Sqrt[a]*Sqrt[e])])/(a^(5/2)*c*e^(3/2))","A",6,6,26,0.2308,1,"{73, 325, 329, 298, 205, 208}"
55,1,107,0,0.0685933,"\int \frac{1}{(e x)^{5/2} (a+b x) (a c-b c x)} \, dx","Int[1/((e*x)^(5/2)*(a + b*x)*(a*c - b*c*x)),x]","\frac{b^{3/2} \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{a^{7/2} c e^{5/2}}+\frac{b^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{a^{7/2} c e^{5/2}}-\frac{2}{3 a^2 c e (e x)^{3/2}}","\frac{b^{3/2} \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{a^{7/2} c e^{5/2}}+\frac{b^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)}{a^{7/2} c e^{5/2}}-\frac{2}{3 a^2 c e (e x)^{3/2}}",1,"-2/(3*a^2*c*e*(e*x)^(3/2)) + (b^(3/2)*ArcTan[(Sqrt[b]*Sqrt[e*x])/(Sqrt[a]*Sqrt[e])])/(a^(7/2)*c*e^(5/2)) + (b^(3/2)*ArcTanh[(Sqrt[b]*Sqrt[e*x])/(Sqrt[a]*Sqrt[e])])/(a^(7/2)*c*e^(5/2))","A",6,6,26,0.2308,1,"{73, 325, 329, 212, 208, 205}"
56,1,156,0,0.0703404,"\int (e x)^m (2-2 a x)^3 (1+a x)^4 \, dx","Int[(e*x)^m*(2 - 2*a*x)^3*(1 + a*x)^4,x]","-\frac{24 a^2 (e x)^{m+3}}{e^3 (m+3)}-\frac{24 a^3 (e x)^{m+4}}{e^4 (m+4)}+\frac{24 a^4 (e x)^{m+5}}{e^5 (m+5)}+\frac{24 a^5 (e x)^{m+6}}{e^6 (m+6)}-\frac{8 a^6 (e x)^{m+7}}{e^7 (m+7)}-\frac{8 a^7 (e x)^{m+8}}{e^8 (m+8)}+\frac{8 a (e x)^{m+2}}{e^2 (m+2)}+\frac{8 (e x)^{m+1}}{e (m+1)}","-\frac{24 a^2 (e x)^{m+3}}{e^3 (m+3)}-\frac{24 a^3 (e x)^{m+4}}{e^4 (m+4)}+\frac{24 a^4 (e x)^{m+5}}{e^5 (m+5)}+\frac{24 a^5 (e x)^{m+6}}{e^6 (m+6)}-\frac{8 a^6 (e x)^{m+7}}{e^7 (m+7)}-\frac{8 a^7 (e x)^{m+8}}{e^8 (m+8)}+\frac{8 a (e x)^{m+2}}{e^2 (m+2)}+\frac{8 (e x)^{m+1}}{e (m+1)}",1,"(8*(e*x)^(1 + m))/(e*(1 + m)) + (8*a*(e*x)^(2 + m))/(e^2*(2 + m)) - (24*a^2*(e*x)^(3 + m))/(e^3*(3 + m)) - (24*a^3*(e*x)^(4 + m))/(e^4*(4 + m)) + (24*a^4*(e*x)^(5 + m))/(e^5*(5 + m)) + (24*a^5*(e*x)^(6 + m))/(e^6*(6 + m)) - (8*a^6*(e*x)^(7 + m))/(e^7*(7 + m)) - (8*a^7*(e*x)^(8 + m))/(e^8*(8 + m))","A",2,1,21,0.04762,1,"{88}"
57,1,116,0,0.0421191,"\int (e x)^m (2-2 a x)^2 (1+a x)^3 \, dx","Int[(e*x)^m*(2 - 2*a*x)^2*(1 + a*x)^3,x]","-\frac{8 a^2 (e x)^{m+3}}{e^3 (m+3)}-\frac{8 a^3 (e x)^{m+4}}{e^4 (m+4)}+\frac{4 a^4 (e x)^{m+5}}{e^5 (m+5)}+\frac{4 a^5 (e x)^{m+6}}{e^6 (m+6)}+\frac{4 a (e x)^{m+2}}{e^2 (m+2)}+\frac{4 (e x)^{m+1}}{e (m+1)}","-\frac{8 a^2 (e x)^{m+3}}{e^3 (m+3)}-\frac{8 a^3 (e x)^{m+4}}{e^4 (m+4)}+\frac{4 a^4 (e x)^{m+5}}{e^5 (m+5)}+\frac{4 a^5 (e x)^{m+6}}{e^6 (m+6)}+\frac{4 a (e x)^{m+2}}{e^2 (m+2)}+\frac{4 (e x)^{m+1}}{e (m+1)}",1,"(4*(e*x)^(1 + m))/(e*(1 + m)) + (4*a*(e*x)^(2 + m))/(e^2*(2 + m)) - (8*a^2*(e*x)^(3 + m))/(e^3*(3 + m)) - (8*a^3*(e*x)^(4 + m))/(e^4*(4 + m)) + (4*a^4*(e*x)^(5 + m))/(e^5*(5 + m)) + (4*a^5*(e*x)^(6 + m))/(e^6*(6 + m))","A",2,1,21,0.04762,1,"{88}"
58,1,76,0,0.0259322,"\int (e x)^m (2-2 a x) (1+a x)^2 \, dx","Int[(e*x)^m*(2 - 2*a*x)*(1 + a*x)^2,x]","-\frac{2 a^2 (e x)^{m+3}}{e^3 (m+3)}-\frac{2 a^3 (e x)^{m+4}}{e^4 (m+4)}+\frac{2 a (e x)^{m+2}}{e^2 (m+2)}+\frac{2 (e x)^{m+1}}{e (m+1)}","-\frac{2 a^2 (e x)^{m+3}}{e^3 (m+3)}-\frac{2 a^3 (e x)^{m+4}}{e^4 (m+4)}+\frac{2 a (e x)^{m+2}}{e^2 (m+2)}+\frac{2 (e x)^{m+1}}{e (m+1)}",1,"(2*(e*x)^(1 + m))/(e*(1 + m)) + (2*a*(e*x)^(2 + m))/(e^2*(2 + m)) - (2*a^2*(e*x)^(3 + m))/(e^3*(3 + m)) - (2*a^3*(e*x)^(4 + m))/(e^4*(4 + m))","A",2,1,19,0.05263,1,"{75}"
59,1,86,0,0.0302674,"\int \frac{(e x)^m}{(2-2 a x)^2 (1+a x)} \, dx","Int[(e*x)^m/((2 - 2*a*x)^2*(1 + a*x)),x]","\frac{a (e x)^{m+2} \, _2F_1\left(2,\frac{m+2}{2};\frac{m+4}{2};a^2 x^2\right)}{4 e^2 (m+2)}+\frac{(e x)^{m+1} \, _2F_1\left(2,\frac{m+1}{2};\frac{m+3}{2};a^2 x^2\right)}{4 e (m+1)}","\frac{a (e x)^{m+2} \, _2F_1\left(2,\frac{m+2}{2};\frac{m+4}{2};a^2 x^2\right)}{4 e^2 (m+2)}+\frac{(e x)^{m+1} \, _2F_1\left(2,\frac{m+1}{2};\frac{m+3}{2};a^2 x^2\right)}{4 e (m+1)}",1,"((e*x)^(1 + m)*Hypergeometric2F1[2, (1 + m)/2, (3 + m)/2, a^2*x^2])/(4*e*(1 + m)) + (a*(e*x)^(2 + m)*Hypergeometric2F1[2, (2 + m)/2, (4 + m)/2, a^2*x^2])/(4*e^2*(2 + m))","A",5,3,21,0.1429,1,"{82, 73, 364}"
60,1,86,0,0.0234094,"\int \frac{(e x)^m}{(2-2 a x)^3 (1+a x)^2} \, dx","Int[(e*x)^m/((2 - 2*a*x)^3*(1 + a*x)^2),x]","\frac{a (e x)^{m+2} \, _2F_1\left(3,\frac{m+2}{2};\frac{m+4}{2};a^2 x^2\right)}{8 e^2 (m+2)}+\frac{(e x)^{m+1} \, _2F_1\left(3,\frac{m+1}{2};\frac{m+3}{2};a^2 x^2\right)}{8 e (m+1)}","\frac{a (e x)^{m+2} \, _2F_1\left(3,\frac{m+2}{2};\frac{m+4}{2};a^2 x^2\right)}{8 e^2 (m+2)}+\frac{(e x)^{m+1} \, _2F_1\left(3,\frac{m+1}{2};\frac{m+3}{2};a^2 x^2\right)}{8 e (m+1)}",1,"((e*x)^(1 + m)*Hypergeometric2F1[3, (1 + m)/2, (3 + m)/2, a^2*x^2])/(8*e*(1 + m)) + (a*(e*x)^(2 + m)*Hypergeometric2F1[3, (2 + m)/2, (4 + m)/2, a^2*x^2])/(8*e^2*(2 + m))","A",5,3,21,0.1429,1,"{82, 73, 364}"
61,1,86,0,0.0236572,"\int \frac{(e x)^m}{(2-2 a x)^4 (1+a x)^3} \, dx","Int[(e*x)^m/((2 - 2*a*x)^4*(1 + a*x)^3),x]","\frac{a (e x)^{m+2} \, _2F_1\left(4,\frac{m+2}{2};\frac{m+4}{2};a^2 x^2\right)}{16 e^2 (m+2)}+\frac{(e x)^{m+1} \, _2F_1\left(4,\frac{m+1}{2};\frac{m+3}{2};a^2 x^2\right)}{16 e (m+1)}","\frac{a (e x)^{m+2} \, _2F_1\left(4,\frac{m+2}{2};\frac{m+4}{2};a^2 x^2\right)}{16 e^2 (m+2)}+\frac{(e x)^{m+1} \, _2F_1\left(4,\frac{m+1}{2};\frac{m+3}{2};a^2 x^2\right)}{16 e (m+1)}",1,"((e*x)^(1 + m)*Hypergeometric2F1[4, (1 + m)/2, (3 + m)/2, a^2*x^2])/(16*e*(1 + m)) + (a*(e*x)^(2 + m)*Hypergeometric2F1[4, (2 + m)/2, (4 + m)/2, a^2*x^2])/(16*e^2*(2 + m))","A",5,3,21,0.1429,1,"{82, 73, 364}"
62,1,197,0,0.1363365,"\int (e x)^m (a+b x)^4 (a d-b d x)^3 \, dx","Int[(e*x)^m*(a + b*x)^4*(a*d - b*d*x)^3,x]","-\frac{3 a^5 b^2 d^3 (e x)^{m+3}}{e^3 (m+3)}-\frac{3 a^4 b^3 d^3 (e x)^{m+4}}{e^4 (m+4)}+\frac{3 a^3 b^4 d^3 (e x)^{m+5}}{e^5 (m+5)}+\frac{3 a^2 b^5 d^3 (e x)^{m+6}}{e^6 (m+6)}+\frac{a^6 b d^3 (e x)^{m+2}}{e^2 (m+2)}+\frac{a^7 d^3 (e x)^{m+1}}{e (m+1)}-\frac{a b^6 d^3 (e x)^{m+7}}{e^7 (m+7)}-\frac{b^7 d^3 (e x)^{m+8}}{e^8 (m+8)}","-\frac{3 a^5 b^2 d^3 (e x)^{m+3}}{e^3 (m+3)}-\frac{3 a^4 b^3 d^3 (e x)^{m+4}}{e^4 (m+4)}+\frac{3 a^3 b^4 d^3 (e x)^{m+5}}{e^5 (m+5)}+\frac{3 a^2 b^5 d^3 (e x)^{m+6}}{e^6 (m+6)}+\frac{a^6 b d^3 (e x)^{m+2}}{e^2 (m+2)}+\frac{a^7 d^3 (e x)^{m+1}}{e (m+1)}-\frac{a b^6 d^3 (e x)^{m+7}}{e^7 (m+7)}-\frac{b^7 d^3 (e x)^{m+8}}{e^8 (m+8)}",1,"(a^7*d^3*(e*x)^(1 + m))/(e*(1 + m)) + (a^6*b*d^3*(e*x)^(2 + m))/(e^2*(2 + m)) - (3*a^5*b^2*d^3*(e*x)^(3 + m))/(e^3*(3 + m)) - (3*a^4*b^3*d^3*(e*x)^(4 + m))/(e^4*(4 + m)) + (3*a^3*b^4*d^3*(e*x)^(5 + m))/(e^5*(5 + m)) + (3*a^2*b^5*d^3*(e*x)^(6 + m))/(e^6*(6 + m)) - (a*b^6*d^3*(e*x)^(7 + m))/(e^7*(7 + m)) - (b^7*d^3*(e*x)^(8 + m))/(e^8*(8 + m))","A",2,1,24,0.04167,1,"{88}"
63,1,143,0,0.0809989,"\int (e x)^m (a+b x)^3 (a d-b d x)^2 \, dx","Int[(e*x)^m*(a + b*x)^3*(a*d - b*d*x)^2,x]","-\frac{2 a^3 b^2 d^2 (e x)^{m+3}}{e^3 (m+3)}-\frac{2 a^2 b^3 d^2 (e x)^{m+4}}{e^4 (m+4)}+\frac{a^4 b d^2 (e x)^{m+2}}{e^2 (m+2)}+\frac{a^5 d^2 (e x)^{m+1}}{e (m+1)}+\frac{a b^4 d^2 (e x)^{m+5}}{e^5 (m+5)}+\frac{b^5 d^2 (e x)^{m+6}}{e^6 (m+6)}","-\frac{2 a^3 b^2 d^2 (e x)^{m+3}}{e^3 (m+3)}-\frac{2 a^2 b^3 d^2 (e x)^{m+4}}{e^4 (m+4)}+\frac{a^4 b d^2 (e x)^{m+2}}{e^2 (m+2)}+\frac{a^5 d^2 (e x)^{m+1}}{e (m+1)}+\frac{a b^4 d^2 (e x)^{m+5}}{e^5 (m+5)}+\frac{b^5 d^2 (e x)^{m+6}}{e^6 (m+6)}",1,"(a^5*d^2*(e*x)^(1 + m))/(e*(1 + m)) + (a^4*b*d^2*(e*x)^(2 + m))/(e^2*(2 + m)) - (2*a^3*b^2*d^2*(e*x)^(3 + m))/(e^3*(3 + m)) - (2*a^2*b^3*d^2*(e*x)^(4 + m))/(e^4*(4 + m)) + (a*b^4*d^2*(e*x)^(5 + m))/(e^5*(5 + m)) + (b^5*d^2*(e*x)^(6 + m))/(e^6*(6 + m))","A",2,1,24,0.04167,1,"{88}"
64,1,85,0,0.0410381,"\int (e x)^m (a+b x)^2 (a d-b d x) \, dx","Int[(e*x)^m*(a + b*x)^2*(a*d - b*d*x),x]","\frac{a^2 b d (e x)^{m+2}}{e^2 (m+2)}+\frac{a^3 d (e x)^{m+1}}{e (m+1)}-\frac{a b^2 d (e x)^{m+3}}{e^3 (m+3)}-\frac{b^3 d (e x)^{m+4}}{e^4 (m+4)}","\frac{a^2 b d (e x)^{m+2}}{e^2 (m+2)}+\frac{a^3 d (e x)^{m+1}}{e (m+1)}-\frac{a b^2 d (e x)^{m+3}}{e^3 (m+3)}-\frac{b^3 d (e x)^{m+4}}{e^4 (m+4)}",1,"(a^3*d*(e*x)^(1 + m))/(e*(1 + m)) + (a^2*b*d*(e*x)^(2 + m))/(e^2*(2 + m)) - (a*b^2*d*(e*x)^(3 + m))/(e^3*(3 + m)) - (b^3*d*(e*x)^(4 + m))/(e^4*(4 + m))","A",2,1,22,0.04545,1,"{75}"
65,1,98,0,0.0418875,"\int \frac{(e x)^m}{(a+b x) (a d-b d x)^2} \, dx","Int[(e*x)^m/((a + b*x)*(a*d - b*d*x)^2),x]","\frac{b (e x)^{m+2} \, _2F_1\left(2,\frac{m+2}{2};\frac{m+4}{2};\frac{b^2 x^2}{a^2}\right)}{a^4 d^2 e^2 (m+2)}+\frac{(e x)^{m+1} \, _2F_1\left(2,\frac{m+1}{2};\frac{m+3}{2};\frac{b^2 x^2}{a^2}\right)}{a^3 d^2 e (m+1)}","\frac{b (e x)^{m+2} \, _2F_1\left(2,\frac{m+2}{2};\frac{m+4}{2};\frac{b^2 x^2}{a^2}\right)}{a^4 d^2 e^2 (m+2)}+\frac{(e x)^{m+1} \, _2F_1\left(2,\frac{m+1}{2};\frac{m+3}{2};\frac{b^2 x^2}{a^2}\right)}{a^3 d^2 e (m+1)}",1,"((e*x)^(1 + m)*Hypergeometric2F1[2, (1 + m)/2, (3 + m)/2, (b^2*x^2)/a^2])/(a^3*d^2*e*(1 + m)) + (b*(e*x)^(2 + m)*Hypergeometric2F1[2, (2 + m)/2, (4 + m)/2, (b^2*x^2)/a^2])/(a^4*d^2*e^2*(2 + m))","A",5,3,24,0.1250,1,"{82, 73, 364}"
66,1,98,0,0.0412521,"\int \frac{(e x)^m}{(a+b x)^2 (a d-b d x)^3} \, dx","Int[(e*x)^m/((a + b*x)^2*(a*d - b*d*x)^3),x]","\frac{b (e x)^{m+2} \, _2F_1\left(3,\frac{m+2}{2};\frac{m+4}{2};\frac{b^2 x^2}{a^2}\right)}{a^6 d^3 e^2 (m+2)}+\frac{(e x)^{m+1} \, _2F_1\left(3,\frac{m+1}{2};\frac{m+3}{2};\frac{b^2 x^2}{a^2}\right)}{a^5 d^3 e (m+1)}","\frac{b (e x)^{m+2} \, _2F_1\left(3,\frac{m+2}{2};\frac{m+4}{2};\frac{b^2 x^2}{a^2}\right)}{a^6 d^3 e^2 (m+2)}+\frac{(e x)^{m+1} \, _2F_1\left(3,\frac{m+1}{2};\frac{m+3}{2};\frac{b^2 x^2}{a^2}\right)}{a^5 d^3 e (m+1)}",1,"((e*x)^(1 + m)*Hypergeometric2F1[3, (1 + m)/2, (3 + m)/2, (b^2*x^2)/a^2])/(a^5*d^3*e*(1 + m)) + (b*(e*x)^(2 + m)*Hypergeometric2F1[3, (2 + m)/2, (4 + m)/2, (b^2*x^2)/a^2])/(a^6*d^3*e^2*(2 + m))","A",5,3,24,0.1250,1,"{82, 73, 364}"
67,1,98,0,0.0408033,"\int \frac{(e x)^m}{(a+b x)^3 (a d-b d x)^4} \, dx","Int[(e*x)^m/((a + b*x)^3*(a*d - b*d*x)^4),x]","\frac{b (e x)^{m+2} \, _2F_1\left(4,\frac{m+2}{2};\frac{m+4}{2};\frac{b^2 x^2}{a^2}\right)}{a^8 d^4 e^2 (m+2)}+\frac{(e x)^{m+1} \, _2F_1\left(4,\frac{m+1}{2};\frac{m+3}{2};\frac{b^2 x^2}{a^2}\right)}{a^7 d^4 e (m+1)}","\frac{b (e x)^{m+2} \, _2F_1\left(4,\frac{m+2}{2};\frac{m+4}{2};\frac{b^2 x^2}{a^2}\right)}{a^8 d^4 e^2 (m+2)}+\frac{(e x)^{m+1} \, _2F_1\left(4,\frac{m+1}{2};\frac{m+3}{2};\frac{b^2 x^2}{a^2}\right)}{a^7 d^4 e (m+1)}",1,"((e*x)^(1 + m)*Hypergeometric2F1[4, (1 + m)/2, (3 + m)/2, (b^2*x^2)/a^2])/(a^7*d^4*e*(1 + m)) + (b*(e*x)^(2 + m)*Hypergeometric2F1[4, (2 + m)/2, (4 + m)/2, (b^2*x^2)/a^2])/(a^8*d^4*e^2*(2 + m))","A",5,3,24,0.1250,1,"{82, 73, 364}"
68,1,145,0,0.084603,"\int (e x)^m (a+b x) (a c-b c x)^4 \, dx","Int[(e*x)^m*(a + b*x)*(a*c - b*c*x)^4,x]","\frac{2 a^3 b^2 c^4 (e x)^{m+3}}{e^3 (m+3)}+\frac{2 a^2 b^3 c^4 (e x)^{m+4}}{e^4 (m+4)}-\frac{3 a^4 b c^4 (e x)^{m+2}}{e^2 (m+2)}+\frac{a^5 c^4 (e x)^{m+1}}{e (m+1)}-\frac{3 a b^4 c^4 (e x)^{m+5}}{e^5 (m+5)}+\frac{b^5 c^4 (e x)^{m+6}}{e^6 (m+6)}","\frac{2 a^3 b^2 c^4 (e x)^{m+3}}{e^3 (m+3)}+\frac{2 a^2 b^3 c^4 (e x)^{m+4}}{e^4 (m+4)}-\frac{3 a^4 b c^4 (e x)^{m+2}}{e^2 (m+2)}+\frac{a^5 c^4 (e x)^{m+1}}{e (m+1)}-\frac{3 a b^4 c^4 (e x)^{m+5}}{e^5 (m+5)}+\frac{b^5 c^4 (e x)^{m+6}}{e^6 (m+6)}",1,"(a^5*c^4*(e*x)^(1 + m))/(e*(1 + m)) - (3*a^4*b*c^4*(e*x)^(2 + m))/(e^2*(2 + m)) + (2*a^3*b^2*c^4*(e*x)^(3 + m))/(e^3*(3 + m)) + (2*a^2*b^3*c^4*(e*x)^(4 + m))/(e^4*(4 + m)) - (3*a*b^4*c^4*(e*x)^(5 + m))/(e^5*(5 + m)) + (b^5*c^4*(e*x)^(6 + m))/(e^6*(6 + m))","A",2,1,22,0.04545,1,"{75}"
69,1,94,0,0.0520564,"\int (e x)^m (a+b x) (a c-b c x)^3 \, dx","Int[(e*x)^m*(a + b*x)*(a*c - b*c*x)^3,x]","-\frac{2 a^3 b c^3 (e x)^{m+2}}{e^2 (m+2)}+\frac{a^4 c^3 (e x)^{m+1}}{e (m+1)}+\frac{2 a b^3 c^3 (e x)^{m+4}}{e^4 (m+4)}-\frac{b^4 c^3 (e x)^{m+5}}{e^5 (m+5)}","-\frac{2 a^3 b c^3 (e x)^{m+2}}{e^2 (m+2)}+\frac{a^4 c^3 (e x)^{m+1}}{e (m+1)}+\frac{2 a b^3 c^3 (e x)^{m+4}}{e^4 (m+4)}-\frac{b^4 c^3 (e x)^{m+5}}{e^5 (m+5)}",1,"(a^4*c^3*(e*x)^(1 + m))/(e*(1 + m)) - (2*a^3*b*c^3*(e*x)^(2 + m))/(e^2*(2 + m)) + (2*a*b^3*c^3*(e*x)^(4 + m))/(e^4*(4 + m)) - (b^4*c^3*(e*x)^(5 + m))/(e^5*(5 + m))","A",2,1,22,0.04545,1,"{75}"
70,1,93,0,0.0468879,"\int (e x)^m (a+b x) (a c-b c x)^2 \, dx","Int[(e*x)^m*(a + b*x)*(a*c - b*c*x)^2,x]","-\frac{a^2 b c^2 (e x)^{m+2}}{e^2 (m+2)}+\frac{a^3 c^2 (e x)^{m+1}}{e (m+1)}-\frac{a b^2 c^2 (e x)^{m+3}}{e^3 (m+3)}+\frac{b^3 c^2 (e x)^{m+4}}{e^4 (m+4)}","-\frac{a^2 b c^2 (e x)^{m+2}}{e^2 (m+2)}+\frac{a^3 c^2 (e x)^{m+1}}{e (m+1)}-\frac{a b^2 c^2 (e x)^{m+3}}{e^3 (m+3)}+\frac{b^3 c^2 (e x)^{m+4}}{e^4 (m+4)}",1,"(a^3*c^2*(e*x)^(1 + m))/(e*(1 + m)) - (a^2*b*c^2*(e*x)^(2 + m))/(e^2*(2 + m)) - (a*b^2*c^2*(e*x)^(3 + m))/(e^3*(3 + m)) + (b^3*c^2*(e*x)^(4 + m))/(e^4*(4 + m))","A",2,1,22,0.04545,1,"{75}"
71,1,42,0,0.0179111,"\int (e x)^m (a+b x) (a c-b c x) \, dx","Int[(e*x)^m*(a + b*x)*(a*c - b*c*x),x]","\frac{a^2 c (e x)^{m+1}}{e (m+1)}-\frac{b^2 c (e x)^{m+3}}{e^3 (m+3)}","\frac{a^2 c (e x)^{m+1}}{e (m+1)}-\frac{b^2 c (e x)^{m+3}}{e^3 (m+3)}",1,"(a^2*c*(e*x)^(1 + m))/(e*(1 + m)) - (b^2*c*(e*x)^(3 + m))/(e^3*(3 + m))","A",3,2,20,0.1000,1,"{73, 14}"
72,1,55,0,0.0193706,"\int \frac{(e x)^m (a+b x)}{a c-b c x} \, dx","Int[((e*x)^m*(a + b*x))/(a*c - b*c*x),x]","\frac{2 (e x)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{b x}{a}\right)}{c e (m+1)}-\frac{(e x)^{m+1}}{c e (m+1)}","\frac{2 (e x)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{b x}{a}\right)}{c e (m+1)}-\frac{(e x)^{m+1}}{c e (m+1)}",1,"-((e*x)^(1 + m)/(c*e*(1 + m))) + (2*(e*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (b*x)/a])/(c*e*(1 + m))","A",2,2,22,0.09091,1,"{80, 64}"
73,1,66,0,0.0238615,"\int \frac{(e x)^m (a+b x)}{(a c-b c x)^2} \, dx","Int[((e*x)^m*(a + b*x))/(a*c - b*c*x)^2,x]","\frac{2 (e x)^{m+1}}{c^2 e (a-b x)}-\frac{(2 m+1) (e x)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{b x}{a}\right)}{a c^2 e (m+1)}","\frac{2 (e x)^{m+1}}{c^2 e (a-b x)}-\frac{(2 m+1) (e x)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{b x}{a}\right)}{a c^2 e (m+1)}",1,"(2*(e*x)^(1 + m))/(c^2*e*(a - b*x)) - ((1 + 2*m)*(e*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (b*x)/a])/(a*c^2*e*(1 + m))","A",2,2,22,0.09091,1,"{78, 64}"
74,1,107,0,0.1166081,"\int \frac{(e x)^m (a c-b c x)^3}{a+b x} \, dx","Int[((e*x)^m*(a*c - b*c*x)^3)/(a + b*x),x]","\frac{8 a^2 c^3 (e x)^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{e (m+1)}-\frac{7 a^2 c^3 (e x)^{m+1}}{e (m+1)}+\frac{4 a b c^3 (e x)^{m+2}}{e^2 (m+2)}-\frac{b^2 c^3 (e x)^{m+3}}{e^3 (m+3)}","\frac{8 a^2 c^3 (e x)^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{e (m+1)}-\frac{7 a^2 c^3 (e x)^{m+1}}{e (m+1)}+\frac{4 a b c^3 (e x)^{m+2}}{e^2 (m+2)}-\frac{b^2 c^3 (e x)^{m+3}}{e^3 (m+3)}",1,"(-7*a^2*c^3*(e*x)^(1 + m))/(e*(1 + m)) + (4*a*b*c^3*(e*x)^(2 + m))/(e^2*(2 + m)) - (b^2*c^3*(e*x)^(3 + m))/(e^3*(3 + m)) + (8*a^2*c^3*(e*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((b*x)/a)])/(e*(1 + m))","A",7,3,24,0.1250,1,"{88, 64, 43}"
75,1,78,0,0.0576958,"\int \frac{(e x)^m (a c-b c x)^2}{a+b x} \, dx","Int[((e*x)^m*(a*c - b*c*x)^2)/(a + b*x),x]","\frac{4 a c^2 (e x)^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{e (m+1)}-\frac{3 a c^2 (e x)^{m+1}}{e (m+1)}+\frac{b c^2 (e x)^{m+2}}{e^2 (m+2)}","\frac{4 a c^2 (e x)^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{e (m+1)}-\frac{3 a c^2 (e x)^{m+1}}{e (m+1)}+\frac{b c^2 (e x)^{m+2}}{e^2 (m+2)}",1,"(-3*a*c^2*(e*x)^(1 + m))/(e*(1 + m)) + (b*c^2*(e*x)^(2 + m))/(e^2*(2 + m)) + (4*a*c^2*(e*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((b*x)/a)])/(e*(1 + m))","A",5,3,24,0.1250,1,"{88, 64, 43}"
76,1,52,0,0.014491,"\int \frac{(e x)^m (a c-b c x)}{a+b x} \, dx","Int[((e*x)^m*(a*c - b*c*x))/(a + b*x),x]","\frac{2 c (e x)^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{e (m+1)}-\frac{c (e x)^{m+1}}{e (m+1)}","\frac{2 c (e x)^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{e (m+1)}-\frac{c (e x)^{m+1}}{e (m+1)}",1,"-((c*(e*x)^(1 + m))/(e*(1 + m))) + (2*c*(e*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((b*x)/a)])/(e*(1 + m))","A",2,2,22,0.09091,1,"{80, 64}"
77,1,48,0,0.0121768,"\int \frac{(e x)^m}{(a+b x) (a c-b c x)} \, dx","Int[(e*x)^m/((a + b*x)*(a*c - b*c*x)),x]","\frac{(e x)^{m+1} \, _2F_1\left(1,\frac{m+1}{2};\frac{m+3}{2};\frac{b^2 x^2}{a^2}\right)}{a^2 c e (m+1)}","\frac{(e x)^{m+1} \, _2F_1\left(1,\frac{m+1}{2};\frac{m+3}{2};\frac{b^2 x^2}{a^2}\right)}{a^2 c e (m+1)}",1,"((e*x)^(1 + m)*Hypergeometric2F1[1, (1 + m)/2, (3 + m)/2, (b^2*x^2)/a^2])/(a^2*c*e*(1 + m))","A",2,2,24,0.08333,1,"{73, 364}"
78,1,98,0,0.042063,"\int \frac{(e x)^m}{(a+b x) (a c-b c x)^2} \, dx","Int[(e*x)^m/((a + b*x)*(a*c - b*c*x)^2),x]","\frac{b (e x)^{m+2} \, _2F_1\left(2,\frac{m+2}{2};\frac{m+4}{2};\frac{b^2 x^2}{a^2}\right)}{a^4 c^2 e^2 (m+2)}+\frac{(e x)^{m+1} \, _2F_1\left(2,\frac{m+1}{2};\frac{m+3}{2};\frac{b^2 x^2}{a^2}\right)}{a^3 c^2 e (m+1)}","\frac{b (e x)^{m+2} \, _2F_1\left(2,\frac{m+2}{2};\frac{m+4}{2};\frac{b^2 x^2}{a^2}\right)}{a^4 c^2 e^2 (m+2)}+\frac{(e x)^{m+1} \, _2F_1\left(2,\frac{m+1}{2};\frac{m+3}{2};\frac{b^2 x^2}{a^2}\right)}{a^3 c^2 e (m+1)}",1,"((e*x)^(1 + m)*Hypergeometric2F1[2, (1 + m)/2, (3 + m)/2, (b^2*x^2)/a^2])/(a^3*c^2*e*(1 + m)) + (b*(e*x)^(2 + m)*Hypergeometric2F1[2, (2 + m)/2, (4 + m)/2, (b^2*x^2)/a^2])/(a^4*c^2*e^2*(2 + m))","A",5,3,24,0.1250,1,"{82, 73, 364}"
79,1,151,0,0.1755909,"\int \frac{(e x)^m}{(a+b x) (a c-b c x)^3} \, dx","Int[(e*x)^m/((a + b*x)*(a*c - b*c*x)^3),x]","\frac{\left(2 m^2-4 m+1\right) (e x)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{b x}{a}\right)}{8 a^4 c^3 e (m+1)}+\frac{(e x)^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{8 a^4 c^3 e (m+1)}+\frac{(2-m) (e x)^{m+1}}{4 a^3 c^3 e (a-b x)}+\frac{(e x)^{m+1}}{4 a^2 c^3 e (a-b x)^2}","\frac{\left(2 m^2-4 m+1\right) (e x)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{b x}{a}\right)}{8 a^4 c^3 e (m+1)}+\frac{(e x)^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{8 a^4 c^3 e (m+1)}+\frac{(2-m) (e x)^{m+1}}{4 a^3 c^3 e (a-b x)}+\frac{(e x)^{m+1}}{4 a^2 c^3 e (a-b x)^2}",1,"(e*x)^(1 + m)/(4*a^2*c^3*e*(a - b*x)^2) + ((2 - m)*(e*x)^(1 + m))/(4*a^3*c^3*e*(a - b*x)) + ((e*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((b*x)/a)])/(8*a^4*c^3*e*(1 + m)) + ((1 - 4*m + 2*m^2)*(e*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (b*x)/a])/(8*a^4*c^3*e*(1 + m))","A",5,4,24,0.1667,1,"{103, 151, 156, 64}"
80,1,33,0,0.0340203,"\int x^4 (a+b x) (A+B x) \, dx","Int[x^4*(a + b*x)*(A + B*x),x]","\frac{1}{6} x^6 (a B+A b)+\frac{1}{5} a A x^5+\frac{1}{7} b B x^7","\frac{1}{6} x^6 (a B+A b)+\frac{1}{5} a A x^5+\frac{1}{7} b B x^7",1,"(a*A*x^5)/5 + ((A*b + a*B)*x^6)/6 + (b*B*x^7)/7","A",2,1,14,0.07143,1,"{76}"
81,1,33,0,0.0258505,"\int x^3 (a+b x) (A+B x) \, dx","Int[x^3*(a + b*x)*(A + B*x),x]","\frac{1}{5} x^5 (a B+A b)+\frac{1}{4} a A x^4+\frac{1}{6} b B x^6","\frac{1}{5} x^5 (a B+A b)+\frac{1}{4} a A x^4+\frac{1}{6} b B x^6",1,"(a*A*x^4)/4 + ((A*b + a*B)*x^5)/5 + (b*B*x^6)/6","A",2,1,14,0.07143,1,"{76}"
82,1,33,0,0.022522,"\int x^2 (a+b x) (A+B x) \, dx","Int[x^2*(a + b*x)*(A + B*x),x]","\frac{1}{4} x^4 (a B+A b)+\frac{1}{3} a A x^3+\frac{1}{5} b B x^5","\frac{1}{4} x^4 (a B+A b)+\frac{1}{3} a A x^3+\frac{1}{5} b B x^5",1,"(a*A*x^3)/3 + ((A*b + a*B)*x^4)/4 + (b*B*x^5)/5","A",2,1,14,0.07143,1,"{76}"
83,1,33,0,0.0189485,"\int x (a+b x) (A+B x) \, dx","Int[x*(a + b*x)*(A + B*x),x]","\frac{1}{3} x^3 (a B+A b)+\frac{1}{2} a A x^2+\frac{1}{4} b B x^4","\frac{1}{3} x^3 (a B+A b)+\frac{1}{2} a A x^2+\frac{1}{4} b B x^4",1,"(a*A*x^2)/2 + ((A*b + a*B)*x^3)/3 + (b*B*x^4)/4","A",2,1,12,0.08333,1,"{76}"
84,1,28,0,0.014254,"\int (a+b x) (A+B x) \, dx","Int[(a + b*x)*(A + B*x),x]","\frac{1}{2} x^2 (a B+A b)+a A x+\frac{1}{3} b B x^3","\frac{1}{2} x^2 (a B+A b)+a A x+\frac{1}{3} b B x^3",1,"a*A*x + ((A*b + a*B)*x^2)/2 + (b*B*x^3)/3","A",2,1,11,0.09091,1,"{43}"
85,1,24,0,0.0094834,"\int \frac{(a+b x) (A+B x)}{x} \, dx","Int[((a + b*x)*(A + B*x))/x,x]","x (a B+A b)+a A \log (x)+\frac{1}{2} b B x^2","x (a B+A b)+a A \log (x)+\frac{1}{2} b B x^2",1,"(A*b + a*B)*x + (b*B*x^2)/2 + a*A*Log[x]","A",2,1,14,0.07143,1,"{76}"
86,1,22,0,0.0126413,"\int \frac{(a+b x) (A+B x)}{x^2} \, dx","Int[((a + b*x)*(A + B*x))/x^2,x]","\log (x) (a B+A b)-\frac{a A}{x}+b B x","\log (x) (a B+A b)-\frac{a A}{x}+b B x",1,"-((a*A)/x) + b*B*x + (A*b + a*B)*Log[x]","A",2,1,14,0.07143,1,"{76}"
87,1,27,0,0.013042,"\int \frac{(a+b x) (A+B x)}{x^3} \, dx","Int[((a + b*x)*(A + B*x))/x^3,x]","-\frac{a B+A b}{x}-\frac{a A}{2 x^2}+b B \log (x)","-\frac{a B+A b}{x}-\frac{a A}{2 x^2}+b B \log (x)",1,"-(a*A)/(2*x^2) - (A*b + a*B)/x + b*B*Log[x]","A",2,1,14,0.07143,1,"{76}"
88,1,31,0,0.0133023,"\int \frac{(a+b x) (A+B x)}{x^4} \, dx","Int[((a + b*x)*(A + B*x))/x^4,x]","-\frac{a B+A b}{2 x^2}-\frac{a A}{3 x^3}-\frac{b B}{x}","-\frac{a B+A b}{2 x^2}-\frac{a A}{3 x^3}-\frac{b B}{x}",1,"-(a*A)/(3*x^3) - (A*b + a*B)/(2*x^2) - (b*B)/x","A",2,1,14,0.07143,1,"{76}"
89,1,33,0,0.0129332,"\int \frac{(a+b x) (A+B x)}{x^5} \, dx","Int[((a + b*x)*(A + B*x))/x^5,x]","-\frac{a B+A b}{3 x^3}-\frac{a A}{4 x^4}-\frac{b B}{2 x^2}","-\frac{a B+A b}{3 x^3}-\frac{a A}{4 x^4}-\frac{b B}{2 x^2}",1,"-(a*A)/(4*x^4) - (A*b + a*B)/(3*x^3) - (b*B)/(2*x^2)","A",2,1,14,0.07143,1,"{76}"
90,1,33,0,0.0131032,"\int \frac{(a+b x) (A+B x)}{x^6} \, dx","Int[((a + b*x)*(A + B*x))/x^6,x]","-\frac{a B+A b}{4 x^4}-\frac{a A}{5 x^5}-\frac{b B}{3 x^3}","-\frac{a B+A b}{4 x^4}-\frac{a A}{5 x^5}-\frac{b B}{3 x^3}",1,"-(a*A)/(5*x^5) - (A*b + a*B)/(4*x^4) - (b*B)/(3*x^3)","A",2,1,14,0.07143,1,"{76}"
91,1,55,0,0.0407865,"\int x^4 (a+b x)^2 (A+B x) \, dx","Int[x^4*(a + b*x)^2*(A + B*x),x]","\frac{1}{5} a^2 A x^5+\frac{1}{7} b x^7 (2 a B+A b)+\frac{1}{6} a x^6 (a B+2 A b)+\frac{1}{8} b^2 B x^8","\frac{1}{5} a^2 A x^5+\frac{1}{7} b x^7 (2 a B+A b)+\frac{1}{6} a x^6 (a B+2 A b)+\frac{1}{8} b^2 B x^8",1,"(a^2*A*x^5)/5 + (a*(2*A*b + a*B)*x^6)/6 + (b*(A*b + 2*a*B)*x^7)/7 + (b^2*B*x^8)/8","A",2,1,16,0.06250,1,"{76}"
92,1,55,0,0.0315898,"\int x^3 (a+b x)^2 (A+B x) \, dx","Int[x^3*(a + b*x)^2*(A + B*x),x]","\frac{1}{4} a^2 A x^4+\frac{1}{6} b x^6 (2 a B+A b)+\frac{1}{5} a x^5 (a B+2 A b)+\frac{1}{7} b^2 B x^7","\frac{1}{4} a^2 A x^4+\frac{1}{6} b x^6 (2 a B+A b)+\frac{1}{5} a x^5 (a B+2 A b)+\frac{1}{7} b^2 B x^7",1,"(a^2*A*x^4)/4 + (a*(2*A*b + a*B)*x^5)/5 + (b*(A*b + 2*a*B)*x^6)/6 + (b^2*B*x^7)/7","A",2,1,16,0.06250,1,"{76}"
93,1,55,0,0.0287897,"\int x^2 (a+b x)^2 (A+B x) \, dx","Int[x^2*(a + b*x)^2*(A + B*x),x]","\frac{1}{3} a^2 A x^3+\frac{1}{5} b x^5 (2 a B+A b)+\frac{1}{4} a x^4 (a B+2 A b)+\frac{1}{6} b^2 B x^6","\frac{1}{3} a^2 A x^3+\frac{1}{5} b x^5 (2 a B+A b)+\frac{1}{4} a x^4 (a B+2 A b)+\frac{1}{6} b^2 B x^6",1,"(a^2*A*x^3)/3 + (a*(2*A*b + a*B)*x^4)/4 + (b*(A*b + 2*a*B)*x^5)/5 + (b^2*B*x^6)/6","A",2,1,16,0.06250,1,"{76}"
94,1,55,0,0.0265814,"\int x (a+b x)^2 (A+B x) \, dx","Int[x*(a + b*x)^2*(A + B*x),x]","\frac{1}{2} a^2 A x^2+\frac{1}{4} b x^4 (2 a B+A b)+\frac{1}{3} a x^3 (a B+2 A b)+\frac{1}{5} b^2 B x^5","\frac{1}{2} a^2 A x^2+\frac{1}{4} b x^4 (2 a B+A b)+\frac{1}{3} a x^3 (a B+2 A b)+\frac{1}{5} b^2 B x^5",1,"(a^2*A*x^2)/2 + (a*(2*A*b + a*B)*x^3)/3 + (b*(A*b + 2*a*B)*x^4)/4 + (b^2*B*x^5)/5","A",2,1,14,0.07143,1,"{76}"
95,1,38,0,0.0203014,"\int (a+b x)^2 (A+B x) \, dx","Int[(a + b*x)^2*(A + B*x),x]","\frac{(a+b x)^3 (A b-a B)}{3 b^2}+\frac{B (a+b x)^4}{4 b^2}","\frac{(a+b x)^3 (A b-a B)}{3 b^2}+\frac{B (a+b x)^4}{4 b^2}",1,"((A*b - a*B)*(a + b*x)^3)/(3*b^2) + (B*(a + b*x)^4)/(4*b^2)","A",2,1,13,0.07692,1,"{43}"
96,1,40,0,0.0111689,"\int \frac{(a+b x)^2 (A+B x)}{x} \, dx","Int[((a + b*x)^2*(A + B*x))/x,x]","a^2 A \log (x)+2 a A b x+\frac{B (a+b x)^3}{3 b}+\frac{1}{2} A b^2 x^2","a^2 A \log (x)+2 a A b x+\frac{B (a+b x)^3}{3 b}+\frac{1}{2} A b^2 x^2",1,"2*a*A*b*x + (A*b^2*x^2)/2 + (B*(a + b*x)^3)/(3*b) + a^2*A*Log[x]","A",3,2,16,0.1250,1,"{80, 43}"
97,1,44,0,0.0247861,"\int \frac{(a+b x)^2 (A+B x)}{x^2} \, dx","Int[((a + b*x)^2*(A + B*x))/x^2,x]","-\frac{a^2 A}{x}+b x (2 a B+A b)+a \log (x) (a B+2 A b)+\frac{1}{2} b^2 B x^2","-\frac{a^2 A}{x}+b x (2 a B+A b)+a \log (x) (a B+2 A b)+\frac{1}{2} b^2 B x^2",1,"-((a^2*A)/x) + b*(A*b + 2*a*B)*x + (b^2*B*x^2)/2 + a*(2*A*b + a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
98,1,44,0,0.0230414,"\int \frac{(a+b x)^2 (A+B x)}{x^3} \, dx","Int[((a + b*x)^2*(A + B*x))/x^3,x]","-\frac{a^2 A}{2 x^2}-\frac{a (a B+2 A b)}{x}+b \log (x) (2 a B+A b)+b^2 B x","-\frac{a^2 A}{2 x^2}-\frac{a (a B+2 A b)}{x}+b \log (x) (2 a B+A b)+b^2 B x",1,"-(a^2*A)/(2*x^2) - (a*(2*A*b + a*B))/x + b^2*B*x + b*(A*b + 2*a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
99,1,49,0,0.0241203,"\int \frac{(a+b x)^2 (A+B x)}{x^4} \, dx","Int[((a + b*x)^2*(A + B*x))/x^4,x]","-\frac{a^2 A}{3 x^3}-\frac{a (a B+2 A b)}{2 x^2}-\frac{b (2 a B+A b)}{x}+b^2 B \log (x)","-\frac{a^2 A}{3 x^3}-\frac{a (a B+2 A b)}{2 x^2}-\frac{b (2 a B+A b)}{x}+b^2 B \log (x)",1,"-(a^2*A)/(3*x^3) - (a*(2*A*b + a*B))/(2*x^2) - (b*(A*b + 2*a*B))/x + b^2*B*Log[x]","A",2,1,16,0.06250,1,"{76}"
100,1,44,0,0.0107101,"\int \frac{(a+b x)^2 (A+B x)}{x^5} \, dx","Int[((a + b*x)^2*(A + B*x))/x^5,x]","\frac{(a+b x)^3 (A b-4 a B)}{12 a^2 x^3}-\frac{A (a+b x)^3}{4 a x^4}","\frac{(a+b x)^3 (A b-4 a B)}{12 a^2 x^3}-\frac{A (a+b x)^3}{4 a x^4}",1,"-(A*(a + b*x)^3)/(4*a*x^4) + ((A*b - 4*a*B)*(a + b*x)^3)/(12*a^2*x^3)","A",2,2,16,0.1250,1,"{78, 37}"
101,1,55,0,0.022264,"\int \frac{(a+b x)^2 (A+B x)}{x^6} \, dx","Int[((a + b*x)^2*(A + B*x))/x^6,x]","-\frac{a^2 A}{5 x^5}-\frac{a (a B+2 A b)}{4 x^4}-\frac{b (2 a B+A b)}{3 x^3}-\frac{b^2 B}{2 x^2}","-\frac{a^2 A}{5 x^5}-\frac{a (a B+2 A b)}{4 x^4}-\frac{b (2 a B+A b)}{3 x^3}-\frac{b^2 B}{2 x^2}",1,"-(a^2*A)/(5*x^5) - (a*(2*A*b + a*B))/(4*x^4) - (b*(A*b + 2*a*B))/(3*x^3) - (b^2*B)/(2*x^2)","A",2,1,16,0.06250,1,"{76}"
102,1,55,0,0.0224797,"\int \frac{(a+b x)^2 (A+B x)}{x^7} \, dx","Int[((a + b*x)^2*(A + B*x))/x^7,x]","-\frac{a^2 A}{6 x^6}-\frac{a (a B+2 A b)}{5 x^5}-\frac{b (2 a B+A b)}{4 x^4}-\frac{b^2 B}{3 x^3}","-\frac{a^2 A}{6 x^6}-\frac{a (a B+2 A b)}{5 x^5}-\frac{b (2 a B+A b)}{4 x^4}-\frac{b^2 B}{3 x^3}",1,"-(a^2*A)/(6*x^6) - (a*(2*A*b + a*B))/(5*x^5) - (b*(A*b + 2*a*B))/(4*x^4) - (b^2*B)/(3*x^3)","A",2,1,16,0.06250,1,"{76}"
103,1,55,0,0.0221769,"\int \frac{(a+b x)^2 (A+B x)}{x^8} \, dx","Int[((a + b*x)^2*(A + B*x))/x^8,x]","-\frac{a^2 A}{7 x^7}-\frac{a (a B+2 A b)}{6 x^6}-\frac{b (2 a B+A b)}{5 x^5}-\frac{b^2 B}{4 x^4}","-\frac{a^2 A}{7 x^7}-\frac{a (a B+2 A b)}{6 x^6}-\frac{b (2 a B+A b)}{5 x^5}-\frac{b^2 B}{4 x^4}",1,"-(a^2*A)/(7*x^7) - (a*(2*A*b + a*B))/(6*x^6) - (b*(A*b + 2*a*B))/(5*x^5) - (b^2*B)/(4*x^4)","A",2,1,16,0.06250,1,"{76}"
104,1,75,0,0.0541689,"\int x^4 (a+b x)^3 (A+B x) \, dx","Int[x^4*(a + b*x)^3*(A + B*x),x]","\frac{1}{6} a^2 x^6 (a B+3 A b)+\frac{1}{5} a^3 A x^5+\frac{1}{8} b^2 x^8 (3 a B+A b)+\frac{3}{7} a b x^7 (a B+A b)+\frac{1}{9} b^3 B x^9","\frac{1}{6} a^2 x^6 (a B+3 A b)+\frac{1}{5} a^3 A x^5+\frac{1}{8} b^2 x^8 (3 a B+A b)+\frac{3}{7} a b x^7 (a B+A b)+\frac{1}{9} b^3 B x^9",1,"(a^3*A*x^5)/5 + (a^2*(3*A*b + a*B)*x^6)/6 + (3*a*b*(A*b + a*B)*x^7)/7 + (b^2*(A*b + 3*a*B)*x^8)/8 + (b^3*B*x^9)/9","A",2,1,16,0.06250,1,"{76}"
105,1,75,0,0.0444077,"\int x^3 (a+b x)^3 (A+B x) \, dx","Int[x^3*(a + b*x)^3*(A + B*x),x]","\frac{1}{5} a^2 x^5 (a B+3 A b)+\frac{1}{4} a^3 A x^4+\frac{1}{7} b^2 x^7 (3 a B+A b)+\frac{1}{2} a b x^6 (a B+A b)+\frac{1}{8} b^3 B x^8","\frac{1}{5} a^2 x^5 (a B+3 A b)+\frac{1}{4} a^3 A x^4+\frac{1}{7} b^2 x^7 (3 a B+A b)+\frac{1}{2} a b x^6 (a B+A b)+\frac{1}{8} b^3 B x^8",1,"(a^3*A*x^4)/4 + (a^2*(3*A*b + a*B)*x^5)/5 + (a*b*(A*b + a*B)*x^6)/2 + (b^2*(A*b + 3*a*B)*x^7)/7 + (b^3*B*x^8)/8","A",2,1,16,0.06250,1,"{76}"
106,1,75,0,0.0420364,"\int x^2 (a+b x)^3 (A+B x) \, dx","Int[x^2*(a + b*x)^3*(A + B*x),x]","\frac{1}{4} a^2 x^4 (a B+3 A b)+\frac{1}{3} a^3 A x^3+\frac{1}{6} b^2 x^6 (3 a B+A b)+\frac{3}{5} a b x^5 (a B+A b)+\frac{1}{7} b^3 B x^7","\frac{1}{4} a^2 x^4 (a B+3 A b)+\frac{1}{3} a^3 A x^3+\frac{1}{6} b^2 x^6 (3 a B+A b)+\frac{3}{5} a b x^5 (a B+A b)+\frac{1}{7} b^3 B x^7",1,"(a^3*A*x^3)/3 + (a^2*(3*A*b + a*B)*x^4)/4 + (3*a*b*(A*b + a*B)*x^5)/5 + (b^2*(A*b + 3*a*B)*x^6)/6 + (b^3*B*x^7)/7","A",2,1,16,0.06250,1,"{76}"
107,1,61,0,0.0373683,"\int x (a+b x)^3 (A+B x) \, dx","Int[x*(a + b*x)^3*(A + B*x),x]","\frac{(a+b x)^5 (A b-2 a B)}{5 b^3}-\frac{a (a+b x)^4 (A b-a B)}{4 b^3}+\frac{B (a+b x)^6}{6 b^3}","\frac{(a+b x)^5 (A b-2 a B)}{5 b^3}-\frac{a (a+b x)^4 (A b-a B)}{4 b^3}+\frac{B (a+b x)^6}{6 b^3}",1,"-(a*(A*b - a*B)*(a + b*x)^4)/(4*b^3) + ((A*b - 2*a*B)*(a + b*x)^5)/(5*b^3) + (B*(a + b*x)^6)/(6*b^3)","A",2,1,14,0.07143,1,"{76}"
108,1,38,0,0.014005,"\int (a+b x)^3 (A+B x) \, dx","Int[(a + b*x)^3*(A + B*x),x]","\frac{(a+b x)^4 (A b-a B)}{4 b^2}+\frac{B (a+b x)^5}{5 b^2}","\frac{(a+b x)^4 (A b-a B)}{4 b^2}+\frac{B (a+b x)^5}{5 b^2}",1,"((A*b - a*B)*(a + b*x)^4)/(4*b^2) + (B*(a + b*x)^5)/(5*b^2)","A",2,1,13,0.07692,1,"{43}"
109,1,54,0,0.0161688,"\int \frac{(a+b x)^3 (A+B x)}{x} \, dx","Int[((a + b*x)^3*(A + B*x))/x,x]","3 a^2 A b x+a^3 A \log (x)+\frac{3}{2} a A b^2 x^2+\frac{B (a+b x)^4}{4 b}+\frac{1}{3} A b^3 x^3","3 a^2 A b x+a^3 A \log (x)+\frac{3}{2} a A b^2 x^2+\frac{B (a+b x)^4}{4 b}+\frac{1}{3} A b^3 x^3",1,"3*a^2*A*b*x + (3*a*A*b^2*x^2)/2 + (A*b^3*x^3)/3 + (B*(a + b*x)^4)/(4*b) + a^3*A*Log[x]","A",3,2,16,0.1250,1,"{80, 43}"
110,1,65,0,0.0385159,"\int \frac{(a+b x)^3 (A+B x)}{x^2} \, dx","Int[((a + b*x)^3*(A + B*x))/x^2,x]","a^2 \log (x) (a B+3 A b)-\frac{a^3 A}{x}+\frac{1}{2} b^2 x^2 (3 a B+A b)+3 a b x (a B+A b)+\frac{1}{3} b^3 B x^3","a^2 \log (x) (a B+3 A b)-\frac{a^3 A}{x}+\frac{1}{2} b^2 x^2 (3 a B+A b)+3 a b x (a B+A b)+\frac{1}{3} b^3 B x^3",1,"-((a^3*A)/x) + 3*a*b*(A*b + a*B)*x + (b^2*(A*b + 3*a*B)*x^2)/2 + (b^3*B*x^3)/3 + a^2*(3*A*b + a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
111,1,65,0,0.040332,"\int \frac{(a+b x)^3 (A+B x)}{x^3} \, dx","Int[((a + b*x)^3*(A + B*x))/x^3,x]","-\frac{a^2 (a B+3 A b)}{x}-\frac{a^3 A}{2 x^2}+b^2 x (3 a B+A b)+3 a b \log (x) (a B+A b)+\frac{1}{2} b^3 B x^2","-\frac{a^2 (a B+3 A b)}{x}-\frac{a^3 A}{2 x^2}+b^2 x (3 a B+A b)+3 a b \log (x) (a B+A b)+\frac{1}{2} b^3 B x^2",1,"-(a^3*A)/(2*x^2) - (a^2*(3*A*b + a*B))/x + b^2*(A*b + 3*a*B)*x + (b^3*B*x^2)/2 + 3*a*b*(A*b + a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
112,1,64,0,0.0360875,"\int \frac{(a+b x)^3 (A+B x)}{x^4} \, dx","Int[((a + b*x)^3*(A + B*x))/x^4,x]","-\frac{a^2 (a B+3 A b)}{2 x^2}-\frac{a^3 A}{3 x^3}+b^2 \log (x) (3 a B+A b)-\frac{3 a b (a B+A b)}{x}+b^3 B x","-\frac{a^2 (a B+3 A b)}{2 x^2}-\frac{a^3 A}{3 x^3}+b^2 \log (x) (3 a B+A b)-\frac{3 a b (a B+A b)}{x}+b^3 B x",1,"-(a^3*A)/(3*x^3) - (a^2*(3*A*b + a*B))/(2*x^2) - (3*a*b*(A*b + a*B))/x + b^3*B*x + b^2*(A*b + 3*a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
113,1,59,0,0.0188923,"\int \frac{(a+b x)^3 (A+B x)}{x^5} \, dx","Int[((a + b*x)^3*(A + B*x))/x^5,x]","-\frac{3 a^2 b B}{2 x^2}-\frac{a^3 B}{3 x^3}-\frac{A (a+b x)^4}{4 a x^4}-\frac{3 a b^2 B}{x}+b^3 B \log (x)","-\frac{3 a^2 b B}{2 x^2}-\frac{a^3 B}{3 x^3}-\frac{A (a+b x)^4}{4 a x^4}-\frac{3 a b^2 B}{x}+b^3 B \log (x)",1,"-(a^3*B)/(3*x^3) - (3*a^2*b*B)/(2*x^2) - (3*a*b^2*B)/x - (A*(a + b*x)^4)/(4*a*x^4) + b^3*B*Log[x]","A",3,2,16,0.1250,1,"{78, 43}"
114,1,44,0,0.0106216,"\int \frac{(a+b x)^3 (A+B x)}{x^6} \, dx","Int[((a + b*x)^3*(A + B*x))/x^6,x]","\frac{(a+b x)^4 (A b-5 a B)}{20 a^2 x^4}-\frac{A (a+b x)^4}{5 a x^5}","\frac{(a+b x)^4 (A b-5 a B)}{20 a^2 x^4}-\frac{A (a+b x)^4}{5 a x^5}",1,"-(A*(a + b*x)^4)/(5*a*x^5) + ((A*b - 5*a*B)*(a + b*x)^4)/(20*a^2*x^4)","A",2,2,16,0.1250,1,"{78, 37}"
115,1,75,0,0.0339668,"\int \frac{(a+b x)^3 (A+B x)}{x^7} \, dx","Int[((a + b*x)^3*(A + B*x))/x^7,x]","-\frac{a^2 (a B+3 A b)}{5 x^5}-\frac{a^3 A}{6 x^6}-\frac{b^2 (3 a B+A b)}{3 x^3}-\frac{3 a b (a B+A b)}{4 x^4}-\frac{b^3 B}{2 x^2}","-\frac{a^2 (a B+3 A b)}{5 x^5}-\frac{a^3 A}{6 x^6}-\frac{b^2 (3 a B+A b)}{3 x^3}-\frac{3 a b (a B+A b)}{4 x^4}-\frac{b^3 B}{2 x^2}",1,"-(a^3*A)/(6*x^6) - (a^2*(3*A*b + a*B))/(5*x^5) - (3*a*b*(A*b + a*B))/(4*x^4) - (b^2*(A*b + 3*a*B))/(3*x^3) - (b^3*B)/(2*x^2)","A",2,1,16,0.06250,1,"{76}"
116,1,75,0,0.0340929,"\int \frac{(a+b x)^3 (A+B x)}{x^8} \, dx","Int[((a + b*x)^3*(A + B*x))/x^8,x]","-\frac{a^2 (a B+3 A b)}{6 x^6}-\frac{a^3 A}{7 x^7}-\frac{b^2 (3 a B+A b)}{4 x^4}-\frac{3 a b (a B+A b)}{5 x^5}-\frac{b^3 B}{3 x^3}","-\frac{a^2 (a B+3 A b)}{6 x^6}-\frac{a^3 A}{7 x^7}-\frac{b^2 (3 a B+A b)}{4 x^4}-\frac{3 a b (a B+A b)}{5 x^5}-\frac{b^3 B}{3 x^3}",1,"-(a^3*A)/(7*x^7) - (a^2*(3*A*b + a*B))/(6*x^6) - (3*a*b*(A*b + a*B))/(5*x^5) - (b^2*(A*b + 3*a*B))/(4*x^4) - (b^3*B)/(3*x^3)","A",2,1,16,0.06250,1,"{76}"
117,1,75,0,0.0339948,"\int \frac{(a+b x)^3 (A+B x)}{x^9} \, dx","Int[((a + b*x)^3*(A + B*x))/x^9,x]","-\frac{a^2 (a B+3 A b)}{7 x^7}-\frac{a^3 A}{8 x^8}-\frac{b^2 (3 a B+A b)}{5 x^5}-\frac{a b (a B+A b)}{2 x^6}-\frac{b^3 B}{4 x^4}","-\frac{a^2 (a B+3 A b)}{7 x^7}-\frac{a^3 A}{8 x^8}-\frac{b^2 (3 a B+A b)}{5 x^5}-\frac{a b (a B+A b)}{2 x^6}-\frac{b^3 B}{4 x^4}",1,"-(a^3*A)/(8*x^8) - (a^2*(3*A*b + a*B))/(7*x^7) - (a*b*(A*b + a*B))/(2*x^6) - (b^2*(A*b + 3*a*B))/(5*x^5) - (b^3*B)/(4*x^4)","A",2,1,16,0.06250,1,"{76}"
118,1,75,0,0.0329464,"\int \frac{(a+b x)^3 (A+B x)}{x^{10}} \, dx","Int[((a + b*x)^3*(A + B*x))/x^10,x]","-\frac{a^2 (a B+3 A b)}{8 x^8}-\frac{a^3 A}{9 x^9}-\frac{b^2 (3 a B+A b)}{6 x^6}-\frac{3 a b (a B+A b)}{7 x^7}-\frac{b^3 B}{5 x^5}","-\frac{a^2 (a B+3 A b)}{8 x^8}-\frac{a^3 A}{9 x^9}-\frac{b^2 (3 a B+A b)}{6 x^6}-\frac{3 a b (a B+A b)}{7 x^7}-\frac{b^3 B}{5 x^5}",1,"-(a^3*A)/(9*x^9) - (a^2*(3*A*b + a*B))/(8*x^8) - (3*a*b*(A*b + a*B))/(7*x^7) - (b^2*(A*b + 3*a*B))/(6*x^6) - (b^3*B)/(5*x^5)","A",2,1,16,0.06250,1,"{76}"
119,1,117,0,0.1067516,"\int x^5 (a+b x)^5 (A+B x) \, dx","Int[x^5*(a + b*x)^5*(A + B*x),x]","\frac{10}{9} a^2 b^2 x^9 (a B+A b)+\frac{5}{8} a^3 b x^8 (a B+2 A b)+\frac{1}{7} a^4 x^7 (a B+5 A b)+\frac{1}{6} a^5 A x^6+\frac{1}{11} b^4 x^{11} (5 a B+A b)+\frac{1}{2} a b^3 x^{10} (2 a B+A b)+\frac{1}{12} b^5 B x^{12}","\frac{10}{9} a^2 b^2 x^9 (a B+A b)+\frac{5}{8} a^3 b x^8 (a B+2 A b)+\frac{1}{7} a^4 x^7 (a B+5 A b)+\frac{1}{6} a^5 A x^6+\frac{1}{11} b^4 x^{11} (5 a B+A b)+\frac{1}{2} a b^3 x^{10} (2 a B+A b)+\frac{1}{12} b^5 B x^{12}",1,"(a^5*A*x^6)/6 + (a^4*(5*A*b + a*B)*x^7)/7 + (5*a^3*b*(2*A*b + a*B)*x^8)/8 + (10*a^2*b^2*(A*b + a*B)*x^9)/9 + (a*b^3*(A*b + 2*a*B)*x^10)/2 + (b^4*(A*b + 5*a*B)*x^11)/11 + (b^5*B*x^12)/12","A",2,1,16,0.06250,1,"{76}"
120,1,117,0,0.0691443,"\int x^4 (a+b x)^5 (A+B x) \, dx","Int[x^4*(a + b*x)^5*(A + B*x),x]","\frac{5}{4} a^2 b^2 x^8 (a B+A b)+\frac{5}{7} a^3 b x^7 (a B+2 A b)+\frac{1}{6} a^4 x^6 (a B+5 A b)+\frac{1}{5} a^5 A x^5+\frac{1}{10} b^4 x^{10} (5 a B+A b)+\frac{5}{9} a b^3 x^9 (2 a B+A b)+\frac{1}{11} b^5 B x^{11}","\frac{5}{4} a^2 b^2 x^8 (a B+A b)+\frac{5}{7} a^3 b x^7 (a B+2 A b)+\frac{1}{6} a^4 x^6 (a B+5 A b)+\frac{1}{5} a^5 A x^5+\frac{1}{10} b^4 x^{10} (5 a B+A b)+\frac{5}{9} a b^3 x^9 (2 a B+A b)+\frac{1}{11} b^5 B x^{11}",1,"(a^5*A*x^5)/5 + (a^4*(5*A*b + a*B)*x^6)/6 + (5*a^3*b*(2*A*b + a*B)*x^7)/7 + (5*a^2*b^2*(A*b + a*B)*x^8)/4 + (5*a*b^3*(A*b + 2*a*B)*x^9)/9 + (b^4*(A*b + 5*a*B)*x^10)/10 + (b^5*B*x^11)/11","A",2,1,16,0.06250,1,"{76}"
121,1,112,0,0.0690141,"\int x^3 (a+b x)^5 (A+B x) \, dx","Int[x^3*(a + b*x)^5*(A + B*x),x]","\frac{a^2 (a+b x)^7 (3 A b-4 a B)}{7 b^5}-\frac{a^3 (a+b x)^6 (A b-a B)}{6 b^5}+\frac{(a+b x)^9 (A b-4 a B)}{9 b^5}-\frac{3 a (a+b x)^8 (A b-2 a B)}{8 b^5}+\frac{B (a+b x)^{10}}{10 b^5}","\frac{a^2 (a+b x)^7 (3 A b-4 a B)}{7 b^5}-\frac{a^3 (a+b x)^6 (A b-a B)}{6 b^5}+\frac{(a+b x)^9 (A b-4 a B)}{9 b^5}-\frac{3 a (a+b x)^8 (A b-2 a B)}{8 b^5}+\frac{B (a+b x)^{10}}{10 b^5}",1,"-(a^3*(A*b - a*B)*(a + b*x)^6)/(6*b^5) + (a^2*(3*A*b - 4*a*B)*(a + b*x)^7)/(7*b^5) - (3*a*(A*b - 2*a*B)*(a + b*x)^8)/(8*b^5) + ((A*b - 4*a*B)*(a + b*x)^9)/(9*b^5) + (B*(a + b*x)^10)/(10*b^5)","A",2,1,16,0.06250,1,"{76}"
122,1,87,0,0.0561752,"\int x^2 (a+b x)^5 (A+B x) \, dx","Int[x^2*(a + b*x)^5*(A + B*x),x]","\frac{a^2 (a+b x)^6 (A b-a B)}{6 b^4}+\frac{(a+b x)^8 (A b-3 a B)}{8 b^4}-\frac{a (a+b x)^7 (2 A b-3 a B)}{7 b^4}+\frac{B (a+b x)^9}{9 b^4}","\frac{a^2 (a+b x)^6 (A b-a B)}{6 b^4}+\frac{(a+b x)^8 (A b-3 a B)}{8 b^4}-\frac{a (a+b x)^7 (2 A b-3 a B)}{7 b^4}+\frac{B (a+b x)^9}{9 b^4}",1,"(a^2*(A*b - a*B)*(a + b*x)^6)/(6*b^4) - (a*(2*A*b - 3*a*B)*(a + b*x)^7)/(7*b^4) + ((A*b - 3*a*B)*(a + b*x)^8)/(8*b^4) + (B*(a + b*x)^9)/(9*b^4)","A",2,1,16,0.06250,1,"{76}"
123,1,61,0,0.0419063,"\int x (a+b x)^5 (A+B x) \, dx","Int[x*(a + b*x)^5*(A + B*x),x]","\frac{(a+b x)^7 (A b-2 a B)}{7 b^3}-\frac{a (a+b x)^6 (A b-a B)}{6 b^3}+\frac{B (a+b x)^8}{8 b^3}","\frac{(a+b x)^7 (A b-2 a B)}{7 b^3}-\frac{a (a+b x)^6 (A b-a B)}{6 b^3}+\frac{B (a+b x)^8}{8 b^3}",1,"-(a*(A*b - a*B)*(a + b*x)^6)/(6*b^3) + ((A*b - 2*a*B)*(a + b*x)^7)/(7*b^3) + (B*(a + b*x)^8)/(8*b^3)","A",2,1,14,0.07143,1,"{76}"
124,1,38,0,0.0141093,"\int (a+b x)^5 (A+B x) \, dx","Int[(a + b*x)^5*(A + B*x),x]","\frac{(a+b x)^6 (A b-a B)}{6 b^2}+\frac{B (a+b x)^7}{7 b^2}","\frac{(a+b x)^6 (A b-a B)}{6 b^2}+\frac{B (a+b x)^7}{7 b^2}",1,"((A*b - a*B)*(a + b*x)^6)/(6*b^2) + (B*(a + b*x)^7)/(7*b^2)","A",2,1,13,0.07692,1,"{43}"
125,1,80,0,0.0294455,"\int \frac{(a+b x)^5 (A+B x)}{x} \, dx","Int[((a + b*x)^5*(A + B*x))/x,x]","\frac{10}{3} a^2 A b^3 x^3+5 a^3 A b^2 x^2+5 a^4 A b x+a^5 A \log (x)+\frac{5}{4} a A b^4 x^4+\frac{B (a+b x)^6}{6 b}+\frac{1}{5} A b^5 x^5","\frac{10}{3} a^2 A b^3 x^3+5 a^3 A b^2 x^2+5 a^4 A b x+a^5 A \log (x)+\frac{5}{4} a A b^4 x^4+\frac{B (a+b x)^6}{6 b}+\frac{1}{5} A b^5 x^5",1,"5*a^4*A*b*x + 5*a^3*A*b^2*x^2 + (10*a^2*A*b^3*x^3)/3 + (5*a*A*b^4*x^4)/4 + (A*b^5*x^5)/5 + (B*(a + b*x)^6)/(6*b) + a^5*A*Log[x]","A",3,2,16,0.1250,1,"{80, 43}"
126,1,105,0,0.0617309,"\int \frac{(a+b x)^5 (A+B x)}{x^2} \, dx","Int[((a + b*x)^5*(A + B*x))/x^2,x]","5 a^2 b^2 x^2 (a B+A b)+5 a^3 b x (a B+2 A b)+a^4 \log (x) (a B+5 A b)-\frac{a^5 A}{x}+\frac{5}{3} a b^3 x^3 (2 a B+A b)+\frac{1}{4} b^4 x^4 (5 a B+A b)+\frac{1}{5} b^5 B x^5","5 a^2 b^2 x^2 (a B+A b)+5 a^3 b x (a B+2 A b)+a^4 \log (x) (a B+5 A b)-\frac{a^5 A}{x}+\frac{5}{3} a b^3 x^3 (2 a B+A b)+\frac{1}{4} b^4 x^4 (5 a B+A b)+\frac{1}{5} b^5 B x^5",1,"-((a^5*A)/x) + 5*a^3*b*(2*A*b + a*B)*x + 5*a^2*b^2*(A*b + a*B)*x^2 + (5*a*b^3*(A*b + 2*a*B)*x^3)/3 + (b^4*(A*b + 5*a*B)*x^4)/4 + (b^5*B*x^5)/5 + a^4*(5*A*b + a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
127,1,108,0,0.0614029,"\int \frac{(a+b x)^5 (A+B x)}{x^3} \, dx","Int[((a + b*x)^5*(A + B*x))/x^3,x]","10 a^2 b^2 x (a B+A b)-\frac{a^4 (a B+5 A b)}{x}+5 a^3 b \log (x) (a B+2 A b)-\frac{a^5 A}{2 x^2}+\frac{5}{2} a b^3 x^2 (2 a B+A b)+\frac{1}{3} b^4 x^3 (5 a B+A b)+\frac{1}{4} b^5 B x^4","10 a^2 b^2 x (a B+A b)-\frac{a^4 (a B+5 A b)}{x}+5 a^3 b \log (x) (a B+2 A b)-\frac{a^5 A}{2 x^2}+\frac{5}{2} a b^3 x^2 (2 a B+A b)+\frac{1}{3} b^4 x^3 (5 a B+A b)+\frac{1}{4} b^5 B x^4",1,"-(a^5*A)/(2*x^2) - (a^4*(5*A*b + a*B))/x + 10*a^2*b^2*(A*b + a*B)*x + (5*a*b^3*(A*b + 2*a*B)*x^2)/2 + (b^4*(A*b + 5*a*B)*x^3)/3 + (b^5*B*x^4)/4 + 5*a^3*b*(2*A*b + a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
128,1,108,0,0.0645475,"\int \frac{(a+b x)^5 (A+B x)}{x^4} \, dx","Int[((a + b*x)^5*(A + B*x))/x^4,x]","10 a^2 b^2 \log (x) (a B+A b)-\frac{a^4 (a B+5 A b)}{2 x^2}-\frac{5 a^3 b (a B+2 A b)}{x}-\frac{a^5 A}{3 x^3}+\frac{1}{2} b^4 x^2 (5 a B+A b)+5 a b^3 x (2 a B+A b)+\frac{1}{3} b^5 B x^3","10 a^2 b^2 \log (x) (a B+A b)-\frac{a^4 (a B+5 A b)}{2 x^2}-\frac{5 a^3 b (a B+2 A b)}{x}-\frac{a^5 A}{3 x^3}+\frac{1}{2} b^4 x^2 (5 a B+A b)+5 a b^3 x (2 a B+A b)+\frac{1}{3} b^5 B x^3",1,"-(a^5*A)/(3*x^3) - (a^4*(5*A*b + a*B))/(2*x^2) - (5*a^3*b*(2*A*b + a*B))/x + 5*a*b^3*(A*b + 2*a*B)*x + (b^4*(A*b + 5*a*B)*x^2)/2 + (b^5*B*x^3)/3 + 10*a^2*b^2*(A*b + a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
129,1,107,0,0.0656726,"\int \frac{(a+b x)^5 (A+B x)}{x^5} \, dx","Int[((a + b*x)^5*(A + B*x))/x^5,x]","-\frac{10 a^2 b^2 (a B+A b)}{x}-\frac{a^4 (a B+5 A b)}{3 x^3}-\frac{5 a^3 b (a B+2 A b)}{2 x^2}-\frac{a^5 A}{4 x^4}+b^4 x (5 a B+A b)+5 a b^3 \log (x) (2 a B+A b)+\frac{1}{2} b^5 B x^2","-\frac{10 a^2 b^2 (a B+A b)}{x}-\frac{a^4 (a B+5 A b)}{3 x^3}-\frac{5 a^3 b (a B+2 A b)}{2 x^2}-\frac{a^5 A}{4 x^4}+b^4 x (5 a B+A b)+5 a b^3 \log (x) (2 a B+A b)+\frac{1}{2} b^5 B x^2",1,"-(a^5*A)/(4*x^4) - (a^4*(5*A*b + a*B))/(3*x^3) - (5*a^3*b*(2*A*b + a*B))/(2*x^2) - (10*a^2*b^2*(A*b + a*B))/x + b^4*(A*b + 5*a*B)*x + (b^5*B*x^2)/2 + 5*a*b^3*(A*b + 2*a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
130,1,104,0,0.0601232,"\int \frac{(a+b x)^5 (A+B x)}{x^6} \, dx","Int[((a + b*x)^5*(A + B*x))/x^6,x]","-\frac{5 a^2 b^2 (a B+A b)}{x^2}-\frac{a^4 (a B+5 A b)}{4 x^4}-\frac{5 a^3 b (a B+2 A b)}{3 x^3}-\frac{a^5 A}{5 x^5}-\frac{5 a b^3 (2 a B+A b)}{x}+b^4 \log (x) (5 a B+A b)+b^5 B x","-\frac{5 a^2 b^2 (a B+A b)}{x^2}-\frac{a^4 (a B+5 A b)}{4 x^4}-\frac{5 a^3 b (a B+2 A b)}{3 x^3}-\frac{a^5 A}{5 x^5}-\frac{5 a b^3 (2 a B+A b)}{x}+b^4 \log (x) (5 a B+A b)+b^5 B x",1,"-(a^5*A)/(5*x^5) - (a^4*(5*A*b + a*B))/(4*x^4) - (5*a^3*b*(2*A*b + a*B))/(3*x^3) - (5*a^2*b^2*(A*b + a*B))/x^2 - (5*a*b^3*(A*b + 2*a*B))/x + b^5*B*x + b^4*(A*b + 5*a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
131,1,85,0,0.0345449,"\int \frac{(a+b x)^5 (A+B x)}{x^7} \, dx","Int[((a + b*x)^5*(A + B*x))/x^7,x]","-\frac{5 a^2 b^3 B}{x^2}-\frac{10 a^3 b^2 B}{3 x^3}-\frac{5 a^4 b B}{4 x^4}-\frac{a^5 B}{5 x^5}-\frac{A (a+b x)^6}{6 a x^6}-\frac{5 a b^4 B}{x}+b^5 B \log (x)","-\frac{5 a^2 b^3 B}{x^2}-\frac{10 a^3 b^2 B}{3 x^3}-\frac{5 a^4 b B}{4 x^4}-\frac{a^5 B}{5 x^5}-\frac{A (a+b x)^6}{6 a x^6}-\frac{5 a b^4 B}{x}+b^5 B \log (x)",1,"-(a^5*B)/(5*x^5) - (5*a^4*b*B)/(4*x^4) - (10*a^3*b^2*B)/(3*x^3) - (5*a^2*b^3*B)/x^2 - (5*a*b^4*B)/x - (A*(a + b*x)^6)/(6*a*x^6) + b^5*B*Log[x]","A",3,2,16,0.1250,1,"{78, 43}"
132,1,44,0,0.0131699,"\int \frac{(a+b x)^5 (A+B x)}{x^8} \, dx","Int[((a + b*x)^5*(A + B*x))/x^8,x]","\frac{(a+b x)^6 (A b-7 a B)}{42 a^2 x^6}-\frac{A (a+b x)^6}{7 a x^7}","\frac{(a+b x)^6 (A b-7 a B)}{42 a^2 x^6}-\frac{A (a+b x)^6}{7 a x^7}",1,"-(A*(a + b*x)^6)/(7*a*x^7) + ((A*b - 7*a*B)*(a + b*x)^6)/(42*a^2*x^6)","A",2,2,16,0.1250,1,"{78, 37}"
133,1,70,0,0.0283154,"\int \frac{(a+b x)^5 (A+B x)}{x^9} \, dx","Int[((a + b*x)^5*(A + B*x))/x^9,x]","-\frac{b (a+b x)^6 (A b-4 a B)}{168 a^3 x^6}+\frac{(a+b x)^6 (A b-4 a B)}{28 a^2 x^7}-\frac{A (a+b x)^6}{8 a x^8}","-\frac{b (a+b x)^6 (A b-4 a B)}{168 a^3 x^6}+\frac{(a+b x)^6 (A b-4 a B)}{28 a^2 x^7}-\frac{A (a+b x)^6}{8 a x^8}",1,"-(A*(a + b*x)^6)/(8*a*x^8) + ((A*b - 4*a*B)*(a + b*x)^6)/(28*a^2*x^7) - (b*(A*b - 4*a*B)*(a + b*x)^6)/(168*a^3*x^6)","A",3,3,16,0.1875,1,"{78, 45, 37}"
134,1,115,0,0.0544634,"\int \frac{(a+b x)^5 (A+B x)}{x^{10}} \, dx","Int[((a + b*x)^5*(A + B*x))/x^10,x]","-\frac{5 a^2 b^2 (a B+A b)}{3 x^6}-\frac{a^4 (a B+5 A b)}{8 x^8}-\frac{5 a^3 b (a B+2 A b)}{7 x^7}-\frac{a^5 A}{9 x^9}-\frac{a b^3 (2 a B+A b)}{x^5}-\frac{b^4 (5 a B+A b)}{4 x^4}-\frac{b^5 B}{3 x^3}","-\frac{5 a^2 b^2 (a B+A b)}{3 x^6}-\frac{a^4 (a B+5 A b)}{8 x^8}-\frac{5 a^3 b (a B+2 A b)}{7 x^7}-\frac{a^5 A}{9 x^9}-\frac{a b^3 (2 a B+A b)}{x^5}-\frac{b^4 (5 a B+A b)}{4 x^4}-\frac{b^5 B}{3 x^3}",1,"-(a^5*A)/(9*x^9) - (a^4*(5*A*b + a*B))/(8*x^8) - (5*a^3*b*(2*A*b + a*B))/(7*x^7) - (5*a^2*b^2*(A*b + a*B))/(3*x^6) - (a*b^3*(A*b + 2*a*B))/x^5 - (b^4*(A*b + 5*a*B))/(4*x^4) - (b^5*B)/(3*x^3)","A",2,1,16,0.06250,1,"{76}"
135,1,117,0,0.0575665,"\int \frac{(a+b x)^5 (A+B x)}{x^{11}} \, dx","Int[((a + b*x)^5*(A + B*x))/x^11,x]","-\frac{10 a^2 b^2 (a B+A b)}{7 x^7}-\frac{a^4 (a B+5 A b)}{9 x^9}-\frac{5 a^3 b (a B+2 A b)}{8 x^8}-\frac{a^5 A}{10 x^{10}}-\frac{5 a b^3 (2 a B+A b)}{6 x^6}-\frac{b^4 (5 a B+A b)}{5 x^5}-\frac{b^5 B}{4 x^4}","-\frac{10 a^2 b^2 (a B+A b)}{7 x^7}-\frac{a^4 (a B+5 A b)}{9 x^9}-\frac{5 a^3 b (a B+2 A b)}{8 x^8}-\frac{a^5 A}{10 x^{10}}-\frac{5 a b^3 (2 a B+A b)}{6 x^6}-\frac{b^4 (5 a B+A b)}{5 x^5}-\frac{b^5 B}{4 x^4}",1,"-(a^5*A)/(10*x^10) - (a^4*(5*A*b + a*B))/(9*x^9) - (5*a^3*b*(2*A*b + a*B))/(8*x^8) - (10*a^2*b^2*(A*b + a*B))/(7*x^7) - (5*a*b^3*(A*b + 2*a*B))/(6*x^6) - (b^4*(A*b + 5*a*B))/(5*x^5) - (b^5*B)/(4*x^4)","A",2,1,16,0.06250,1,"{76}"
136,1,117,0,0.0590868,"\int \frac{(a+b x)^5 (A+B x)}{x^{12}} \, dx","Int[((a + b*x)^5*(A + B*x))/x^12,x]","-\frac{5 a^2 b^2 (a B+A b)}{4 x^8}-\frac{a^4 (a B+5 A b)}{10 x^{10}}-\frac{5 a^3 b (a B+2 A b)}{9 x^9}-\frac{a^5 A}{11 x^{11}}-\frac{5 a b^3 (2 a B+A b)}{7 x^7}-\frac{b^4 (5 a B+A b)}{6 x^6}-\frac{b^5 B}{5 x^5}","-\frac{5 a^2 b^2 (a B+A b)}{4 x^8}-\frac{a^4 (a B+5 A b)}{10 x^{10}}-\frac{5 a^3 b (a B+2 A b)}{9 x^9}-\frac{a^5 A}{11 x^{11}}-\frac{5 a b^3 (2 a B+A b)}{7 x^7}-\frac{b^4 (5 a B+A b)}{6 x^6}-\frac{b^5 B}{5 x^5}",1,"-(a^5*A)/(11*x^11) - (a^4*(5*A*b + a*B))/(10*x^10) - (5*a^3*b*(2*A*b + a*B))/(9*x^9) - (5*a^2*b^2*(A*b + a*B))/(4*x^8) - (5*a*b^3*(A*b + 2*a*B))/(7*x^7) - (b^4*(A*b + 5*a*B))/(6*x^6) - (b^5*B)/(5*x^5)","A",2,1,16,0.06250,1,"{76}"
137,1,229,0,0.2872991,"\int x^{10} (a+b x)^{10} (A+B x) \, dx","Int[x^10*(a + b*x)^10*(A + B*x),x]","\frac{15}{19} a^2 b^7 x^{19} (8 a B+3 A b)+\frac{5}{3} a^3 b^6 x^{18} (7 a B+4 A b)+\frac{42}{17} a^4 b^5 x^{17} (6 a B+5 A b)+\frac{21}{8} a^5 b^4 x^{16} (5 a B+6 A b)+2 a^6 b^3 x^{15} (4 a B+7 A b)+\frac{15}{14} a^7 b^2 x^{14} (3 a B+8 A b)+\frac{5}{13} a^8 b x^{13} (2 a B+9 A b)+\frac{1}{12} a^9 x^{12} (a B+10 A b)+\frac{1}{11} a^{10} A x^{11}+\frac{1}{21} b^9 x^{21} (10 a B+A b)+\frac{1}{4} a b^8 x^{20} (9 a B+2 A b)+\frac{1}{22} b^{10} B x^{22}","\frac{15}{19} a^2 b^7 x^{19} (8 a B+3 A b)+\frac{5}{3} a^3 b^6 x^{18} (7 a B+4 A b)+\frac{42}{17} a^4 b^5 x^{17} (6 a B+5 A b)+\frac{21}{8} a^5 b^4 x^{16} (5 a B+6 A b)+2 a^6 b^3 x^{15} (4 a B+7 A b)+\frac{15}{14} a^7 b^2 x^{14} (3 a B+8 A b)+\frac{5}{13} a^8 b x^{13} (2 a B+9 A b)+\frac{1}{12} a^9 x^{12} (a B+10 A b)+\frac{1}{11} a^{10} A x^{11}+\frac{1}{21} b^9 x^{21} (10 a B+A b)+\frac{1}{4} a b^8 x^{20} (9 a B+2 A b)+\frac{1}{22} b^{10} B x^{22}",1,"(a^10*A*x^11)/11 + (a^9*(10*A*b + a*B)*x^12)/12 + (5*a^8*b*(9*A*b + 2*a*B)*x^13)/13 + (15*a^7*b^2*(8*A*b + 3*a*B)*x^14)/14 + 2*a^6*b^3*(7*A*b + 4*a*B)*x^15 + (21*a^5*b^4*(6*A*b + 5*a*B)*x^16)/8 + (42*a^4*b^5*(5*A*b + 6*a*B)*x^17)/17 + (5*a^3*b^6*(4*A*b + 7*a*B)*x^18)/3 + (15*a^2*b^7*(3*A*b + 8*a*B)*x^19)/19 + (a*b^8*(2*A*b + 9*a*B)*x^20)/4 + (b^9*(A*b + 10*a*B)*x^21)/21 + (b^10*B*x^22)/22","A",2,1,16,0.06250,1,"{76}"
138,1,231,0,0.1873814,"\int x^9 (a+b x)^{10} (A+B x) \, dx","Int[x^9*(a + b*x)^10*(A + B*x),x]","\frac{5}{6} a^2 b^7 x^{18} (8 a B+3 A b)+\frac{30}{17} a^3 b^6 x^{17} (7 a B+4 A b)+\frac{21}{8} a^4 b^5 x^{16} (6 a B+5 A b)+\frac{14}{5} a^5 b^4 x^{15} (5 a B+6 A b)+\frac{15}{7} a^6 b^3 x^{14} (4 a B+7 A b)+\frac{15}{13} a^7 b^2 x^{13} (3 a B+8 A b)+\frac{5}{12} a^8 b x^{12} (2 a B+9 A b)+\frac{1}{11} a^9 x^{11} (a B+10 A b)+\frac{1}{10} a^{10} A x^{10}+\frac{1}{20} b^9 x^{20} (10 a B+A b)+\frac{5}{19} a b^8 x^{19} (9 a B+2 A b)+\frac{1}{21} b^{10} B x^{21}","\frac{5}{6} a^2 b^7 x^{18} (8 a B+3 A b)+\frac{30}{17} a^3 b^6 x^{17} (7 a B+4 A b)+\frac{21}{8} a^4 b^5 x^{16} (6 a B+5 A b)+\frac{14}{5} a^5 b^4 x^{15} (5 a B+6 A b)+\frac{15}{7} a^6 b^3 x^{14} (4 a B+7 A b)+\frac{15}{13} a^7 b^2 x^{13} (3 a B+8 A b)+\frac{5}{12} a^8 b x^{12} (2 a B+9 A b)+\frac{1}{11} a^9 x^{11} (a B+10 A b)+\frac{1}{10} a^{10} A x^{10}+\frac{1}{20} b^9 x^{20} (10 a B+A b)+\frac{5}{19} a b^8 x^{19} (9 a B+2 A b)+\frac{1}{21} b^{10} B x^{21}",1,"(a^10*A*x^10)/10 + (a^9*(10*A*b + a*B)*x^11)/11 + (5*a^8*b*(9*A*b + 2*a*B)*x^12)/12 + (15*a^7*b^2*(8*A*b + 3*a*B)*x^13)/13 + (15*a^6*b^3*(7*A*b + 4*a*B)*x^14)/7 + (14*a^5*b^4*(6*A*b + 5*a*B)*x^15)/5 + (21*a^4*b^5*(5*A*b + 6*a*B)*x^16)/8 + (30*a^3*b^6*(4*A*b + 7*a*B)*x^17)/17 + (5*a^2*b^7*(3*A*b + 8*a*B)*x^18)/6 + (5*a*b^8*(2*A*b + 9*a*B)*x^19)/19 + (b^9*(A*b + 10*a*B)*x^20)/20 + (b^10*B*x^21)/21","A",2,1,16,0.06250,1,"{76}"
139,1,240,0,0.193844,"\int x^8 (a+b x)^{10} (A+B x) \, dx","Int[x^8*(a + b*x)^10*(A + B*x),x]","\frac{28 a^2 (a+b x)^{17} (A b-3 a B)}{17 b^{10}}-\frac{7 a^3 (a+b x)^{16} (4 A b-9 a B)}{8 b^{10}}+\frac{14 a^4 (a+b x)^{15} (5 A b-9 a B)}{15 b^{10}}-\frac{2 a^5 (a+b x)^{14} (2 A b-3 a B)}{b^{10}}+\frac{4 a^6 (a+b x)^{13} (7 A b-9 a B)}{13 b^{10}}-\frac{a^7 (a+b x)^{12} (8 A b-9 a B)}{12 b^{10}}+\frac{a^8 (a+b x)^{11} (A b-a B)}{11 b^{10}}+\frac{(a+b x)^{19} (A b-9 a B)}{19 b^{10}}-\frac{2 a (a+b x)^{18} (2 A b-9 a B)}{9 b^{10}}+\frac{B (a+b x)^{20}}{20 b^{10}}","\frac{28 a^2 (a+b x)^{17} (A b-3 a B)}{17 b^{10}}-\frac{7 a^3 (a+b x)^{16} (4 A b-9 a B)}{8 b^{10}}+\frac{14 a^4 (a+b x)^{15} (5 A b-9 a B)}{15 b^{10}}-\frac{2 a^5 (a+b x)^{14} (2 A b-3 a B)}{b^{10}}+\frac{4 a^6 (a+b x)^{13} (7 A b-9 a B)}{13 b^{10}}-\frac{a^7 (a+b x)^{12} (8 A b-9 a B)}{12 b^{10}}+\frac{a^8 (a+b x)^{11} (A b-a B)}{11 b^{10}}+\frac{(a+b x)^{19} (A b-9 a B)}{19 b^{10}}-\frac{2 a (a+b x)^{18} (2 A b-9 a B)}{9 b^{10}}+\frac{B (a+b x)^{20}}{20 b^{10}}",1,"(a^8*(A*b - a*B)*(a + b*x)^11)/(11*b^10) - (a^7*(8*A*b - 9*a*B)*(a + b*x)^12)/(12*b^10) + (4*a^6*(7*A*b - 9*a*B)*(a + b*x)^13)/(13*b^10) - (2*a^5*(2*A*b - 3*a*B)*(a + b*x)^14)/b^10 + (14*a^4*(5*A*b - 9*a*B)*(a + b*x)^15)/(15*b^10) - (7*a^3*(4*A*b - 9*a*B)*(a + b*x)^16)/(8*b^10) + (28*a^2*(A*b - 3*a*B)*(a + b*x)^17)/(17*b^10) - (2*a*(2*A*b - 9*a*B)*(a + b*x)^18)/(9*b^10) + ((A*b - 9*a*B)*(a + b*x)^19)/(19*b^10) + (B*(a + b*x)^20)/(20*b^10)","A",2,1,16,0.06250,1,"{76}"
140,1,215,0,0.1771804,"\int x^7 (a+b x)^{10} (A+B x) \, dx","Int[x^7*(a + b*x)^10*(A + B*x),x]","\frac{7 a^2 (a+b x)^{16} (3 A b-8 a B)}{16 b^9}-\frac{7 a^3 (a+b x)^{15} (A b-2 a B)}{3 b^9}+\frac{a^4 (a+b x)^{14} (5 A b-8 a B)}{2 b^9}-\frac{7 a^5 (a+b x)^{13} (3 A b-4 a B)}{13 b^9}+\frac{a^6 (a+b x)^{12} (7 A b-8 a B)}{12 b^9}-\frac{a^7 (a+b x)^{11} (A b-a B)}{11 b^9}+\frac{(a+b x)^{18} (A b-8 a B)}{18 b^9}-\frac{7 a (a+b x)^{17} (A b-4 a B)}{17 b^9}+\frac{B (a+b x)^{19}}{19 b^9}","\frac{7 a^2 (a+b x)^{16} (3 A b-8 a B)}{16 b^9}-\frac{7 a^3 (a+b x)^{15} (A b-2 a B)}{3 b^9}+\frac{a^4 (a+b x)^{14} (5 A b-8 a B)}{2 b^9}-\frac{7 a^5 (a+b x)^{13} (3 A b-4 a B)}{13 b^9}+\frac{a^6 (a+b x)^{12} (7 A b-8 a B)}{12 b^9}-\frac{a^7 (a+b x)^{11} (A b-a B)}{11 b^9}+\frac{(a+b x)^{18} (A b-8 a B)}{18 b^9}-\frac{7 a (a+b x)^{17} (A b-4 a B)}{17 b^9}+\frac{B (a+b x)^{19}}{19 b^9}",1,"-(a^7*(A*b - a*B)*(a + b*x)^11)/(11*b^9) + (a^6*(7*A*b - 8*a*B)*(a + b*x)^12)/(12*b^9) - (7*a^5*(3*A*b - 4*a*B)*(a + b*x)^13)/(13*b^9) + (a^4*(5*A*b - 8*a*B)*(a + b*x)^14)/(2*b^9) - (7*a^3*(A*b - 2*a*B)*(a + b*x)^15)/(3*b^9) + (7*a^2*(3*A*b - 8*a*B)*(a + b*x)^16)/(16*b^9) - (7*a*(A*b - 4*a*B)*(a + b*x)^17)/(17*b^9) + ((A*b - 8*a*B)*(a + b*x)^18)/(18*b^9) + (B*(a + b*x)^19)/(19*b^9)","A",2,1,16,0.06250,1,"{76}"
141,1,191,0,0.1558596,"\int x^6 (a+b x)^{10} (A+B x) \, dx","Int[x^6*(a + b*x)^10*(A + B*x),x]","\frac{a^2 (a+b x)^{15} (3 A b-7 a B)}{3 b^8}-\frac{5 a^3 (a+b x)^{14} (4 A b-7 a B)}{14 b^8}+\frac{3 a^4 (a+b x)^{13} (5 A b-7 a B)}{13 b^8}-\frac{a^5 (a+b x)^{12} (6 A b-7 a B)}{12 b^8}+\frac{a^6 (a+b x)^{11} (A b-a B)}{11 b^8}+\frac{(a+b x)^{17} (A b-7 a B)}{17 b^8}-\frac{3 a (a+b x)^{16} (2 A b-7 a B)}{16 b^8}+\frac{B (a+b x)^{18}}{18 b^8}","\frac{a^2 (a+b x)^{15} (3 A b-7 a B)}{3 b^8}-\frac{5 a^3 (a+b x)^{14} (4 A b-7 a B)}{14 b^8}+\frac{3 a^4 (a+b x)^{13} (5 A b-7 a B)}{13 b^8}-\frac{a^5 (a+b x)^{12} (6 A b-7 a B)}{12 b^8}+\frac{a^6 (a+b x)^{11} (A b-a B)}{11 b^8}+\frac{(a+b x)^{17} (A b-7 a B)}{17 b^8}-\frac{3 a (a+b x)^{16} (2 A b-7 a B)}{16 b^8}+\frac{B (a+b x)^{18}}{18 b^8}",1,"(a^6*(A*b - a*B)*(a + b*x)^11)/(11*b^8) - (a^5*(6*A*b - 7*a*B)*(a + b*x)^12)/(12*b^8) + (3*a^4*(5*A*b - 7*a*B)*(a + b*x)^13)/(13*b^8) - (5*a^3*(4*A*b - 7*a*B)*(a + b*x)^14)/(14*b^8) + (a^2*(3*A*b - 7*a*B)*(a + b*x)^15)/(3*b^8) - (3*a*(2*A*b - 7*a*B)*(a + b*x)^16)/(16*b^8) + ((A*b - 7*a*B)*(a + b*x)^17)/(17*b^8) + (B*(a + b*x)^18)/(18*b^8)","A",2,1,16,0.06250,1,"{76}"
142,1,163,0,0.1403448,"\int x^5 (a+b x)^{10} (A+B x) \, dx","Int[x^5*(a + b*x)^10*(A + B*x),x]","\frac{5 a^2 (a+b x)^{14} (A b-2 a B)}{7 b^7}-\frac{5 a^3 (a+b x)^{13} (2 A b-3 a B)}{13 b^7}+\frac{a^4 (a+b x)^{12} (5 A b-6 a B)}{12 b^7}-\frac{a^5 (a+b x)^{11} (A b-a B)}{11 b^7}+\frac{(a+b x)^{16} (A b-6 a B)}{16 b^7}-\frac{a (a+b x)^{15} (A b-3 a B)}{3 b^7}+\frac{B (a+b x)^{17}}{17 b^7}","\frac{5 a^2 (a+b x)^{14} (A b-2 a B)}{7 b^7}-\frac{5 a^3 (a+b x)^{13} (2 A b-3 a B)}{13 b^7}+\frac{a^4 (a+b x)^{12} (5 A b-6 a B)}{12 b^7}-\frac{a^5 (a+b x)^{11} (A b-a B)}{11 b^7}+\frac{(a+b x)^{16} (A b-6 a B)}{16 b^7}-\frac{a (a+b x)^{15} (A b-3 a B)}{3 b^7}+\frac{B (a+b x)^{17}}{17 b^7}",1,"-(a^5*(A*b - a*B)*(a + b*x)^11)/(11*b^7) + (a^4*(5*A*b - 6*a*B)*(a + b*x)^12)/(12*b^7) - (5*a^3*(2*A*b - 3*a*B)*(a + b*x)^13)/(13*b^7) + (5*a^2*(A*b - 2*a*B)*(a + b*x)^14)/(7*b^7) - (a*(A*b - 3*a*B)*(a + b*x)^15)/(3*b^7) + ((A*b - 6*a*B)*(a + b*x)^16)/(16*b^7) + (B*(a + b*x)^17)/(17*b^7)","A",2,1,16,0.06250,1,"{76}"
143,1,139,0,0.1209474,"\int x^4 (a+b x)^{10} (A+B x) \, dx","Int[x^4*(a + b*x)^10*(A + B*x),x]","\frac{2 a^2 (a+b x)^{13} (3 A b-5 a B)}{13 b^6}-\frac{a^3 (a+b x)^{12} (4 A b-5 a B)}{12 b^6}+\frac{a^4 (a+b x)^{11} (A b-a B)}{11 b^6}+\frac{(a+b x)^{15} (A b-5 a B)}{15 b^6}-\frac{a (a+b x)^{14} (2 A b-5 a B)}{7 b^6}+\frac{B (a+b x)^{16}}{16 b^6}","\frac{2 a^2 (a+b x)^{13} (3 A b-5 a B)}{13 b^6}-\frac{a^3 (a+b x)^{12} (4 A b-5 a B)}{12 b^6}+\frac{a^4 (a+b x)^{11} (A b-a B)}{11 b^6}+\frac{(a+b x)^{15} (A b-5 a B)}{15 b^6}-\frac{a (a+b x)^{14} (2 A b-5 a B)}{7 b^6}+\frac{B (a+b x)^{16}}{16 b^6}",1,"(a^4*(A*b - a*B)*(a + b*x)^11)/(11*b^6) - (a^3*(4*A*b - 5*a*B)*(a + b*x)^12)/(12*b^6) + (2*a^2*(3*A*b - 5*a*B)*(a + b*x)^13)/(13*b^6) - (a*(2*A*b - 5*a*B)*(a + b*x)^14)/(7*b^6) + ((A*b - 5*a*B)*(a + b*x)^15)/(15*b^6) + (B*(a + b*x)^16)/(16*b^6)","A",2,1,16,0.06250,1,"{76}"
144,1,112,0,0.0981898,"\int x^3 (a+b x)^{10} (A+B x) \, dx","Int[x^3*(a + b*x)^10*(A + B*x),x]","\frac{a^2 (a+b x)^{12} (3 A b-4 a B)}{12 b^5}-\frac{a^3 (a+b x)^{11} (A b-a B)}{11 b^5}+\frac{(a+b x)^{14} (A b-4 a B)}{14 b^5}-\frac{3 a (a+b x)^{13} (A b-2 a B)}{13 b^5}+\frac{B (a+b x)^{15}}{15 b^5}","\frac{a^2 (a+b x)^{12} (3 A b-4 a B)}{12 b^5}-\frac{a^3 (a+b x)^{11} (A b-a B)}{11 b^5}+\frac{(a+b x)^{14} (A b-4 a B)}{14 b^5}-\frac{3 a (a+b x)^{13} (A b-2 a B)}{13 b^5}+\frac{B (a+b x)^{15}}{15 b^5}",1,"-(a^3*(A*b - a*B)*(a + b*x)^11)/(11*b^5) + (a^2*(3*A*b - 4*a*B)*(a + b*x)^12)/(12*b^5) - (3*a*(A*b - 2*a*B)*(a + b*x)^13)/(13*b^5) + ((A*b - 4*a*B)*(a + b*x)^14)/(14*b^5) + (B*(a + b*x)^15)/(15*b^5)","A",2,1,16,0.06250,1,"{76}"
145,1,87,0,0.0819227,"\int x^2 (a+b x)^{10} (A+B x) \, dx","Int[x^2*(a + b*x)^10*(A + B*x),x]","\frac{a^2 (a+b x)^{11} (A b-a B)}{11 b^4}+\frac{(a+b x)^{13} (A b-3 a B)}{13 b^4}-\frac{a (a+b x)^{12} (2 A b-3 a B)}{12 b^4}+\frac{B (a+b x)^{14}}{14 b^4}","\frac{a^2 (a+b x)^{11} (A b-a B)}{11 b^4}+\frac{(a+b x)^{13} (A b-3 a B)}{13 b^4}-\frac{a (a+b x)^{12} (2 A b-3 a B)}{12 b^4}+\frac{B (a+b x)^{14}}{14 b^4}",1,"(a^2*(A*b - a*B)*(a + b*x)^11)/(11*b^4) - (a*(2*A*b - 3*a*B)*(a + b*x)^12)/(12*b^4) + ((A*b - 3*a*B)*(a + b*x)^13)/(13*b^4) + (B*(a + b*x)^14)/(14*b^4)","A",2,1,16,0.06250,1,"{76}"
146,1,61,0,0.0678905,"\int x (a+b x)^{10} (A+B x) \, dx","Int[x*(a + b*x)^10*(A + B*x),x]","\frac{(a+b x)^{12} (A b-2 a B)}{12 b^3}-\frac{a (a+b x)^{11} (A b-a B)}{11 b^3}+\frac{B (a+b x)^{13}}{13 b^3}","\frac{(a+b x)^{12} (A b-2 a B)}{12 b^3}-\frac{a (a+b x)^{11} (A b-a B)}{11 b^3}+\frac{B (a+b x)^{13}}{13 b^3}",1,"-(a*(A*b - a*B)*(a + b*x)^11)/(11*b^3) + ((A*b - 2*a*B)*(a + b*x)^12)/(12*b^3) + (B*(a + b*x)^13)/(13*b^3)","A",2,1,14,0.07143,1,"{76}"
147,1,38,0,0.0145262,"\int (a+b x)^{10} (A+B x) \, dx","Int[(a + b*x)^10*(A + B*x),x]","\frac{(a+b x)^{11} (A b-a B)}{11 b^2}+\frac{B (a+b x)^{12}}{12 b^2}","\frac{(a+b x)^{11} (A b-a B)}{11 b^2}+\frac{B (a+b x)^{12}}{12 b^2}",1,"((A*b - a*B)*(a + b*x)^11)/(11*b^2) + (B*(a + b*x)^12)/(12*b^2)","A",2,1,13,0.07692,1,"{43}"
148,1,148,0,0.0635937,"\int \frac{(a+b x)^{10} (A+B x)}{x} \, dx","Int[((a + b*x)^10*(A + B*x))/x,x]","\frac{45}{8} a^2 A b^8 x^8+\frac{120}{7} a^3 A b^7 x^7+35 a^4 A b^6 x^6+\frac{252}{5} a^5 A b^5 x^5+\frac{105}{2} a^6 A b^4 x^4+40 a^7 A b^3 x^3+\frac{45}{2} a^8 A b^2 x^2+10 a^9 A b x+a^{10} A \log (x)+\frac{10}{9} a A b^9 x^9+\frac{B (a+b x)^{11}}{11 b}+\frac{1}{10} A b^{10} x^{10}","\frac{45}{8} a^2 A b^8 x^8+\frac{120}{7} a^3 A b^7 x^7+35 a^4 A b^6 x^6+\frac{252}{5} a^5 A b^5 x^5+\frac{105}{2} a^6 A b^4 x^4+40 a^7 A b^3 x^3+\frac{45}{2} a^8 A b^2 x^2+10 a^9 A b x+a^{10} A \log (x)+\frac{10}{9} a A b^9 x^9+\frac{B (a+b x)^{11}}{11 b}+\frac{1}{10} A b^{10} x^{10}",1,"10*a^9*A*b*x + (45*a^8*A*b^2*x^2)/2 + 40*a^7*A*b^3*x^3 + (105*a^6*A*b^4*x^4)/2 + (252*a^5*A*b^5*x^5)/5 + 35*a^4*A*b^6*x^6 + (120*a^3*A*b^7*x^7)/7 + (45*a^2*A*b^8*x^8)/8 + (10*a*A*b^9*x^9)/9 + (A*b^10*x^10)/10 + (B*(a + b*x)^11)/(11*b) + a^10*A*Log[x]","A",3,2,16,0.1250,1,"{80, 43}"
149,1,217,0,0.1378503,"\int \frac{(a+b x)^{10} (A+B x)}{x^2} \, dx","Int[((a + b*x)^10*(A + B*x))/x^2,x]","\frac{15}{2} a^7 b^2 x^2 (3 a B+8 A b)+10 a^6 b^3 x^3 (4 a B+7 A b)+\frac{21}{2} a^5 b^4 x^4 (5 a B+6 A b)+\frac{42}{5} a^4 b^5 x^5 (6 a B+5 A b)+5 a^3 b^6 x^6 (7 a B+4 A b)+\frac{15}{7} a^2 b^7 x^7 (8 a B+3 A b)+5 a^8 b x (2 a B+9 A b)+a^9 \log (x) (a B+10 A b)-\frac{a^{10} A}{x}+\frac{5}{8} a b^8 x^8 (9 a B+2 A b)+\frac{1}{9} b^9 x^9 (10 a B+A b)+\frac{1}{10} b^{10} B x^{10}","\frac{15}{2} a^7 b^2 x^2 (3 a B+8 A b)+10 a^6 b^3 x^3 (4 a B+7 A b)+\frac{21}{2} a^5 b^4 x^4 (5 a B+6 A b)+\frac{42}{5} a^4 b^5 x^5 (6 a B+5 A b)+5 a^3 b^6 x^6 (7 a B+4 A b)+\frac{15}{7} a^2 b^7 x^7 (8 a B+3 A b)+5 a^8 b x (2 a B+9 A b)+a^9 \log (x) (a B+10 A b)-\frac{a^{10} A}{x}+\frac{5}{8} a b^8 x^8 (9 a B+2 A b)+\frac{1}{9} b^9 x^9 (10 a B+A b)+\frac{1}{10} b^{10} B x^{10}",1,"-((a^10*A)/x) + 5*a^8*b*(9*A*b + 2*a*B)*x + (15*a^7*b^2*(8*A*b + 3*a*B)*x^2)/2 + 10*a^6*b^3*(7*A*b + 4*a*B)*x^3 + (21*a^5*b^4*(6*A*b + 5*a*B)*x^4)/2 + (42*a^4*b^5*(5*A*b + 6*a*B)*x^5)/5 + 5*a^3*b^6*(4*A*b + 7*a*B)*x^6 + (15*a^2*b^7*(3*A*b + 8*a*B)*x^7)/7 + (5*a*b^8*(2*A*b + 9*a*B)*x^8)/8 + (b^9*(A*b + 10*a*B)*x^9)/9 + (b^10*B*x^10)/10 + a^9*(10*A*b + a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
150,1,216,0,0.1426343,"\int \frac{(a+b x)^{10} (A+B x)}{x^3} \, dx","Int[((a + b*x)^10*(A + B*x))/x^3,x]","15 a^6 b^3 x^2 (4 a B+7 A b)+14 a^5 b^4 x^3 (5 a B+6 A b)+\frac{21}{2} a^4 b^5 x^4 (6 a B+5 A b)+6 a^3 b^6 x^5 (7 a B+4 A b)+\frac{5}{2} a^2 b^7 x^6 (8 a B+3 A b)+15 a^7 b^2 x (3 a B+8 A b)-\frac{a^9 (a B+10 A b)}{x}+5 a^8 b \log (x) (2 a B+9 A b)-\frac{a^{10} A}{2 x^2}+\frac{5}{7} a b^8 x^7 (9 a B+2 A b)+\frac{1}{8} b^9 x^8 (10 a B+A b)+\frac{1}{9} b^{10} B x^9","15 a^6 b^3 x^2 (4 a B+7 A b)+14 a^5 b^4 x^3 (5 a B+6 A b)+\frac{21}{2} a^4 b^5 x^4 (6 a B+5 A b)+6 a^3 b^6 x^5 (7 a B+4 A b)+\frac{5}{2} a^2 b^7 x^6 (8 a B+3 A b)+15 a^7 b^2 x (3 a B+8 A b)-\frac{a^9 (a B+10 A b)}{x}+5 a^8 b \log (x) (2 a B+9 A b)-\frac{a^{10} A}{2 x^2}+\frac{5}{7} a b^8 x^7 (9 a B+2 A b)+\frac{1}{8} b^9 x^8 (10 a B+A b)+\frac{1}{9} b^{10} B x^9",1,"-(a^10*A)/(2*x^2) - (a^9*(10*A*b + a*B))/x + 15*a^7*b^2*(8*A*b + 3*a*B)*x + 15*a^6*b^3*(7*A*b + 4*a*B)*x^2 + 14*a^5*b^4*(6*A*b + 5*a*B)*x^3 + (21*a^4*b^5*(5*A*b + 6*a*B)*x^4)/2 + 6*a^3*b^6*(4*A*b + 7*a*B)*x^5 + (5*a^2*b^7*(3*A*b + 8*a*B)*x^6)/2 + (5*a*b^8*(2*A*b + 9*a*B)*x^7)/7 + (b^9*(A*b + 10*a*B)*x^8)/8 + (b^10*B*x^9)/9 + 5*a^8*b*(9*A*b + 2*a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
151,1,216,0,0.1395301,"\int \frac{(a+b x)^{10} (A+B x)}{x^4} \, dx","Int[((a + b*x)^10*(A + B*x))/x^4,x]","21 a^5 b^4 x^2 (5 a B+6 A b)+14 a^4 b^5 x^3 (6 a B+5 A b)+\frac{15}{2} a^3 b^6 x^4 (7 a B+4 A b)+3 a^2 b^7 x^5 (8 a B+3 A b)+30 a^6 b^3 x (4 a B+7 A b)+15 a^7 b^2 \log (x) (3 a B+8 A b)-\frac{a^9 (a B+10 A b)}{2 x^2}-\frac{5 a^8 b (2 a B+9 A b)}{x}-\frac{a^{10} A}{3 x^3}+\frac{5}{6} a b^8 x^6 (9 a B+2 A b)+\frac{1}{7} b^9 x^7 (10 a B+A b)+\frac{1}{8} b^{10} B x^8","21 a^5 b^4 x^2 (5 a B+6 A b)+14 a^4 b^5 x^3 (6 a B+5 A b)+\frac{15}{2} a^3 b^6 x^4 (7 a B+4 A b)+3 a^2 b^7 x^5 (8 a B+3 A b)+30 a^6 b^3 x (4 a B+7 A b)+15 a^7 b^2 \log (x) (3 a B+8 A b)-\frac{a^9 (a B+10 A b)}{2 x^2}-\frac{5 a^8 b (2 a B+9 A b)}{x}-\frac{a^{10} A}{3 x^3}+\frac{5}{6} a b^8 x^6 (9 a B+2 A b)+\frac{1}{7} b^9 x^7 (10 a B+A b)+\frac{1}{8} b^{10} B x^8",1,"-(a^10*A)/(3*x^3) - (a^9*(10*A*b + a*B))/(2*x^2) - (5*a^8*b*(9*A*b + 2*a*B))/x + 30*a^6*b^3*(7*A*b + 4*a*B)*x + 21*a^5*b^4*(6*A*b + 5*a*B)*x^2 + 14*a^4*b^5*(5*A*b + 6*a*B)*x^3 + (15*a^3*b^6*(4*A*b + 7*a*B)*x^4)/2 + 3*a^2*b^7*(3*A*b + 8*a*B)*x^5 + (5*a*b^8*(2*A*b + 9*a*B)*x^6)/6 + (b^9*(A*b + 10*a*B)*x^7)/7 + (b^10*B*x^8)/8 + 15*a^7*b^2*(8*A*b + 3*a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
152,1,215,0,0.1429996,"\int \frac{(a+b x)^{10} (A+B x)}{x^5} \, dx","Int[((a + b*x)^10*(A + B*x))/x^5,x]","21 a^4 b^5 x^2 (6 a B+5 A b)+10 a^3 b^6 x^3 (7 a B+4 A b)+\frac{15}{4} a^2 b^7 x^4 (8 a B+3 A b)-\frac{15 a^7 b^2 (3 a B+8 A b)}{x}+42 a^5 b^4 x (5 a B+6 A b)+30 a^6 b^3 \log (x) (4 a B+7 A b)-\frac{a^9 (a B+10 A b)}{3 x^3}-\frac{5 a^8 b (2 a B+9 A b)}{2 x^2}-\frac{a^{10} A}{4 x^4}+a b^8 x^5 (9 a B+2 A b)+\frac{1}{6} b^9 x^6 (10 a B+A b)+\frac{1}{7} b^{10} B x^7","21 a^4 b^5 x^2 (6 a B+5 A b)+10 a^3 b^6 x^3 (7 a B+4 A b)+\frac{15}{4} a^2 b^7 x^4 (8 a B+3 A b)-\frac{15 a^7 b^2 (3 a B+8 A b)}{x}+42 a^5 b^4 x (5 a B+6 A b)+30 a^6 b^3 \log (x) (4 a B+7 A b)-\frac{a^9 (a B+10 A b)}{3 x^3}-\frac{5 a^8 b (2 a B+9 A b)}{2 x^2}-\frac{a^{10} A}{4 x^4}+a b^8 x^5 (9 a B+2 A b)+\frac{1}{6} b^9 x^6 (10 a B+A b)+\frac{1}{7} b^{10} B x^7",1,"-(a^10*A)/(4*x^4) - (a^9*(10*A*b + a*B))/(3*x^3) - (5*a^8*b*(9*A*b + 2*a*B))/(2*x^2) - (15*a^7*b^2*(8*A*b + 3*a*B))/x + 42*a^5*b^4*(6*A*b + 5*a*B)*x + 21*a^4*b^5*(5*A*b + 6*a*B)*x^2 + 10*a^3*b^6*(4*A*b + 7*a*B)*x^3 + (15*a^2*b^7*(3*A*b + 8*a*B)*x^4)/4 + a*b^8*(2*A*b + 9*a*B)*x^5 + (b^9*(A*b + 10*a*B)*x^6)/6 + (b^10*B*x^7)/7 + 30*a^6*b^3*(7*A*b + 4*a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
153,1,218,0,0.14394,"\int \frac{(a+b x)^{10} (A+B x)}{x^6} \, dx","Int[((a + b*x)^10*(A + B*x))/x^6,x]","-\frac{15 a^7 b^2 (3 a B+8 A b)}{2 x^2}+15 a^3 b^6 x^2 (7 a B+4 A b)+5 a^2 b^7 x^3 (8 a B+3 A b)-\frac{30 a^6 b^3 (4 a B+7 A b)}{x}+42 a^4 b^5 x (6 a B+5 A b)+42 a^5 b^4 \log (x) (5 a B+6 A b)-\frac{a^9 (a B+10 A b)}{4 x^4}-\frac{5 a^8 b (2 a B+9 A b)}{3 x^3}-\frac{a^{10} A}{5 x^5}+\frac{5}{4} a b^8 x^4 (9 a B+2 A b)+\frac{1}{5} b^9 x^5 (10 a B+A b)+\frac{1}{6} b^{10} B x^6","-\frac{15 a^7 b^2 (3 a B+8 A b)}{2 x^2}+15 a^3 b^6 x^2 (7 a B+4 A b)+5 a^2 b^7 x^3 (8 a B+3 A b)-\frac{30 a^6 b^3 (4 a B+7 A b)}{x}+42 a^4 b^5 x (6 a B+5 A b)+42 a^5 b^4 \log (x) (5 a B+6 A b)-\frac{a^9 (a B+10 A b)}{4 x^4}-\frac{5 a^8 b (2 a B+9 A b)}{3 x^3}-\frac{a^{10} A}{5 x^5}+\frac{5}{4} a b^8 x^4 (9 a B+2 A b)+\frac{1}{5} b^9 x^5 (10 a B+A b)+\frac{1}{6} b^{10} B x^6",1,"-(a^10*A)/(5*x^5) - (a^9*(10*A*b + a*B))/(4*x^4) - (5*a^8*b*(9*A*b + 2*a*B))/(3*x^3) - (15*a^7*b^2*(8*A*b + 3*a*B))/(2*x^2) - (30*a^6*b^3*(7*A*b + 4*a*B))/x + 42*a^4*b^5*(5*A*b + 6*a*B)*x + 15*a^3*b^6*(4*A*b + 7*a*B)*x^2 + 5*a^2*b^7*(3*A*b + 8*a*B)*x^3 + (5*a*b^8*(2*A*b + 9*a*B)*x^4)/4 + (b^9*(A*b + 10*a*B)*x^5)/5 + (b^10*B*x^6)/6 + 42*a^5*b^4*(6*A*b + 5*a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
154,1,218,0,0.1434274,"\int \frac{(a+b x)^{10} (A+B x)}{x^7} \, dx","Int[((a + b*x)^10*(A + B*x))/x^7,x]","-\frac{5 a^7 b^2 (3 a B+8 A b)}{x^3}-\frac{15 a^6 b^3 (4 a B+7 A b)}{x^2}+\frac{15}{2} a^2 b^7 x^2 (8 a B+3 A b)-\frac{42 a^5 b^4 (5 a B+6 A b)}{x}+30 a^3 b^6 x (7 a B+4 A b)+42 a^4 b^5 \log (x) (6 a B+5 A b)-\frac{a^9 (a B+10 A b)}{5 x^5}-\frac{5 a^8 b (2 a B+9 A b)}{4 x^4}-\frac{a^{10} A}{6 x^6}+\frac{5}{3} a b^8 x^3 (9 a B+2 A b)+\frac{1}{4} b^9 x^4 (10 a B+A b)+\frac{1}{5} b^{10} B x^5","-\frac{5 a^7 b^2 (3 a B+8 A b)}{x^3}-\frac{15 a^6 b^3 (4 a B+7 A b)}{x^2}+\frac{15}{2} a^2 b^7 x^2 (8 a B+3 A b)-\frac{42 a^5 b^4 (5 a B+6 A b)}{x}+30 a^3 b^6 x (7 a B+4 A b)+42 a^4 b^5 \log (x) (6 a B+5 A b)-\frac{a^9 (a B+10 A b)}{5 x^5}-\frac{5 a^8 b (2 a B+9 A b)}{4 x^4}-\frac{a^{10} A}{6 x^6}+\frac{5}{3} a b^8 x^3 (9 a B+2 A b)+\frac{1}{4} b^9 x^4 (10 a B+A b)+\frac{1}{5} b^{10} B x^5",1,"-(a^10*A)/(6*x^6) - (a^9*(10*A*b + a*B))/(5*x^5) - (5*a^8*b*(9*A*b + 2*a*B))/(4*x^4) - (5*a^7*b^2*(8*A*b + 3*a*B))/x^3 - (15*a^6*b^3*(7*A*b + 4*a*B))/x^2 - (42*a^5*b^4*(6*A*b + 5*a*B))/x + 30*a^3*b^6*(4*A*b + 7*a*B)*x + (15*a^2*b^7*(3*A*b + 8*a*B)*x^2)/2 + (5*a*b^8*(2*A*b + 9*a*B)*x^3)/3 + (b^9*(A*b + 10*a*B)*x^4)/4 + (b^10*B*x^5)/5 + 42*a^4*b^5*(5*A*b + 6*a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
155,1,216,0,0.1476581,"\int \frac{(a+b x)^{10} (A+B x)}{x^8} \, dx","Int[((a + b*x)^10*(A + B*x))/x^8,x]","-\frac{15 a^7 b^2 (3 a B+8 A b)}{4 x^4}-\frac{10 a^6 b^3 (4 a B+7 A b)}{x^3}-\frac{21 a^5 b^4 (5 a B+6 A b)}{x^2}-\frac{42 a^4 b^5 (6 a B+5 A b)}{x}+15 a^2 b^7 x (8 a B+3 A b)+30 a^3 b^6 \log (x) (7 a B+4 A b)-\frac{a^9 (a B+10 A b)}{6 x^6}-\frac{a^8 b (2 a B+9 A b)}{x^5}-\frac{a^{10} A}{7 x^7}+\frac{5}{2} a b^8 x^2 (9 a B+2 A b)+\frac{1}{3} b^9 x^3 (10 a B+A b)+\frac{1}{4} b^{10} B x^4","-\frac{15 a^7 b^2 (3 a B+8 A b)}{4 x^4}-\frac{10 a^6 b^3 (4 a B+7 A b)}{x^3}-\frac{21 a^5 b^4 (5 a B+6 A b)}{x^2}-\frac{42 a^4 b^5 (6 a B+5 A b)}{x}+15 a^2 b^7 x (8 a B+3 A b)+30 a^3 b^6 \log (x) (7 a B+4 A b)-\frac{a^9 (a B+10 A b)}{6 x^6}-\frac{a^8 b (2 a B+9 A b)}{x^5}-\frac{a^{10} A}{7 x^7}+\frac{5}{2} a b^8 x^2 (9 a B+2 A b)+\frac{1}{3} b^9 x^3 (10 a B+A b)+\frac{1}{4} b^{10} B x^4",1,"-(a^10*A)/(7*x^7) - (a^9*(10*A*b + a*B))/(6*x^6) - (a^8*b*(9*A*b + 2*a*B))/x^5 - (15*a^7*b^2*(8*A*b + 3*a*B))/(4*x^4) - (10*a^6*b^3*(7*A*b + 4*a*B))/x^3 - (21*a^5*b^4*(6*A*b + 5*a*B))/x^2 - (42*a^4*b^5*(5*A*b + 6*a*B))/x + 15*a^2*b^7*(3*A*b + 8*a*B)*x + (5*a*b^8*(2*A*b + 9*a*B)*x^2)/2 + (b^9*(A*b + 10*a*B)*x^3)/3 + (b^10*B*x^4)/4 + 30*a^3*b^6*(4*A*b + 7*a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
156,1,216,0,0.147677,"\int \frac{(a+b x)^{10} (A+B x)}{x^9} \, dx","Int[((a + b*x)^10*(A + B*x))/x^9,x]","-\frac{3 a^7 b^2 (3 a B+8 A b)}{x^5}-\frac{15 a^6 b^3 (4 a B+7 A b)}{2 x^4}-\frac{14 a^5 b^4 (5 a B+6 A b)}{x^3}-\frac{21 a^4 b^5 (6 a B+5 A b)}{x^2}-\frac{30 a^3 b^6 (7 a B+4 A b)}{x}+15 a^2 b^7 \log (x) (8 a B+3 A b)-\frac{a^9 (a B+10 A b)}{7 x^7}-\frac{5 a^8 b (2 a B+9 A b)}{6 x^6}-\frac{a^{10} A}{8 x^8}+\frac{1}{2} b^9 x^2 (10 a B+A b)+5 a b^8 x (9 a B+2 A b)+\frac{1}{3} b^{10} B x^3","-\frac{3 a^7 b^2 (3 a B+8 A b)}{x^5}-\frac{15 a^6 b^3 (4 a B+7 A b)}{2 x^4}-\frac{14 a^5 b^4 (5 a B+6 A b)}{x^3}-\frac{21 a^4 b^5 (6 a B+5 A b)}{x^2}-\frac{30 a^3 b^6 (7 a B+4 A b)}{x}+15 a^2 b^7 \log (x) (8 a B+3 A b)-\frac{a^9 (a B+10 A b)}{7 x^7}-\frac{5 a^8 b (2 a B+9 A b)}{6 x^6}-\frac{a^{10} A}{8 x^8}+\frac{1}{2} b^9 x^2 (10 a B+A b)+5 a b^8 x (9 a B+2 A b)+\frac{1}{3} b^{10} B x^3",1,"-(a^10*A)/(8*x^8) - (a^9*(10*A*b + a*B))/(7*x^7) - (5*a^8*b*(9*A*b + 2*a*B))/(6*x^6) - (3*a^7*b^2*(8*A*b + 3*a*B))/x^5 - (15*a^6*b^3*(7*A*b + 4*a*B))/(2*x^4) - (14*a^5*b^4*(6*A*b + 5*a*B))/x^3 - (21*a^4*b^5*(5*A*b + 6*a*B))/x^2 - (30*a^3*b^6*(4*A*b + 7*a*B))/x + 5*a*b^8*(2*A*b + 9*a*B)*x + (b^9*(A*b + 10*a*B)*x^2)/2 + (b^10*B*x^3)/3 + 15*a^2*b^7*(3*A*b + 8*a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
157,1,215,0,0.1552327,"\int \frac{(a+b x)^{10} (A+B x)}{x^{10}} \, dx","Int[((a + b*x)^10*(A + B*x))/x^10,x]","-\frac{5 a^7 b^2 (3 a B+8 A b)}{2 x^6}-\frac{6 a^6 b^3 (4 a B+7 A b)}{x^5}-\frac{21 a^5 b^4 (5 a B+6 A b)}{2 x^4}-\frac{14 a^4 b^5 (6 a B+5 A b)}{x^3}-\frac{15 a^3 b^6 (7 a B+4 A b)}{x^2}-\frac{15 a^2 b^7 (8 a B+3 A b)}{x}-\frac{a^9 (a B+10 A b)}{8 x^8}-\frac{5 a^8 b (2 a B+9 A b)}{7 x^7}-\frac{a^{10} A}{9 x^9}+b^9 x (10 a B+A b)+5 a b^8 \log (x) (9 a B+2 A b)+\frac{1}{2} b^{10} B x^2","-\frac{5 a^7 b^2 (3 a B+8 A b)}{2 x^6}-\frac{6 a^6 b^3 (4 a B+7 A b)}{x^5}-\frac{21 a^5 b^4 (5 a B+6 A b)}{2 x^4}-\frac{14 a^4 b^5 (6 a B+5 A b)}{x^3}-\frac{15 a^3 b^6 (7 a B+4 A b)}{x^2}-\frac{15 a^2 b^7 (8 a B+3 A b)}{x}-\frac{a^9 (a B+10 A b)}{8 x^8}-\frac{5 a^8 b (2 a B+9 A b)}{7 x^7}-\frac{a^{10} A}{9 x^9}+b^9 x (10 a B+A b)+5 a b^8 \log (x) (9 a B+2 A b)+\frac{1}{2} b^{10} B x^2",1,"-(a^10*A)/(9*x^9) - (a^9*(10*A*b + a*B))/(8*x^8) - (5*a^8*b*(9*A*b + 2*a*B))/(7*x^7) - (5*a^7*b^2*(8*A*b + 3*a*B))/(2*x^6) - (6*a^6*b^3*(7*A*b + 4*a*B))/x^5 - (21*a^5*b^4*(6*A*b + 5*a*B))/(2*x^4) - (14*a^4*b^5*(5*A*b + 6*a*B))/x^3 - (15*a^3*b^6*(4*A*b + 7*a*B))/x^2 - (15*a^2*b^7*(3*A*b + 8*a*B))/x + b^9*(A*b + 10*a*B)*x + (b^10*B*x^2)/2 + 5*a*b^8*(2*A*b + 9*a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
158,1,216,0,0.1443738,"\int \frac{(a+b x)^{10} (A+B x)}{x^{11}} \, dx","Int[((a + b*x)^10*(A + B*x))/x^11,x]","-\frac{15 a^7 b^2 (3 a B+8 A b)}{7 x^7}-\frac{5 a^6 b^3 (4 a B+7 A b)}{x^6}-\frac{42 a^5 b^4 (5 a B+6 A b)}{5 x^5}-\frac{21 a^4 b^5 (6 a B+5 A b)}{2 x^4}-\frac{10 a^3 b^6 (7 a B+4 A b)}{x^3}-\frac{15 a^2 b^7 (8 a B+3 A b)}{2 x^2}-\frac{a^9 (a B+10 A b)}{9 x^9}-\frac{5 a^8 b (2 a B+9 A b)}{8 x^8}-\frac{a^{10} A}{10 x^{10}}-\frac{5 a b^8 (9 a B+2 A b)}{x}+b^9 \log (x) (10 a B+A b)+b^{10} B x","-\frac{15 a^7 b^2 (3 a B+8 A b)}{7 x^7}-\frac{5 a^6 b^3 (4 a B+7 A b)}{x^6}-\frac{42 a^5 b^4 (5 a B+6 A b)}{5 x^5}-\frac{21 a^4 b^5 (6 a B+5 A b)}{2 x^4}-\frac{10 a^3 b^6 (7 a B+4 A b)}{x^3}-\frac{15 a^2 b^7 (8 a B+3 A b)}{2 x^2}-\frac{a^9 (a B+10 A b)}{9 x^9}-\frac{5 a^8 b (2 a B+9 A b)}{8 x^8}-\frac{a^{10} A}{10 x^{10}}-\frac{5 a b^8 (9 a B+2 A b)}{x}+b^9 \log (x) (10 a B+A b)+b^{10} B x",1,"-(a^10*A)/(10*x^10) - (a^9*(10*A*b + a*B))/(9*x^9) - (5*a^8*b*(9*A*b + 2*a*B))/(8*x^8) - (15*a^7*b^2*(8*A*b + 3*a*B))/(7*x^7) - (5*a^6*b^3*(7*A*b + 4*a*B))/x^6 - (42*a^5*b^4*(6*A*b + 5*a*B))/(5*x^5) - (21*a^4*b^5*(5*A*b + 6*a*B))/(2*x^4) - (10*a^3*b^6*(4*A*b + 7*a*B))/x^3 - (15*a^2*b^7*(3*A*b + 8*a*B))/(2*x^2) - (5*a*b^8*(2*A*b + 9*a*B))/x + b^10*B*x + b^9*(A*b + 10*a*B)*Log[x]","A",2,1,16,0.06250,1,"{76}"
159,1,153,0,0.0818423,"\int \frac{(a+b x)^{10} (A+B x)}{x^{12}} \, dx","Int[((a + b*x)^10*(A + B*x))/x^12,x]","-\frac{45 a^2 b^8 B}{2 x^2}-\frac{40 a^3 b^7 B}{x^3}-\frac{105 a^4 b^6 B}{2 x^4}-\frac{252 a^5 b^5 B}{5 x^5}-\frac{35 a^6 b^4 B}{x^6}-\frac{120 a^7 b^3 B}{7 x^7}-\frac{45 a^8 b^2 B}{8 x^8}-\frac{10 a^9 b B}{9 x^9}-\frac{a^{10} B}{10 x^{10}}-\frac{A (a+b x)^{11}}{11 a x^{11}}-\frac{10 a b^9 B}{x}+b^{10} B \log (x)","-\frac{45 a^2 b^8 B}{2 x^2}-\frac{40 a^3 b^7 B}{x^3}-\frac{105 a^4 b^6 B}{2 x^4}-\frac{252 a^5 b^5 B}{5 x^5}-\frac{35 a^6 b^4 B}{x^6}-\frac{120 a^7 b^3 B}{7 x^7}-\frac{45 a^8 b^2 B}{8 x^8}-\frac{10 a^9 b B}{9 x^9}-\frac{a^{10} B}{10 x^{10}}-\frac{A (a+b x)^{11}}{11 a x^{11}}-\frac{10 a b^9 B}{x}+b^{10} B \log (x)",1,"-(a^10*B)/(10*x^10) - (10*a^9*b*B)/(9*x^9) - (45*a^8*b^2*B)/(8*x^8) - (120*a^7*b^3*B)/(7*x^7) - (35*a^6*b^4*B)/x^6 - (252*a^5*b^5*B)/(5*x^5) - (105*a^4*b^6*B)/(2*x^4) - (40*a^3*b^7*B)/x^3 - (45*a^2*b^8*B)/(2*x^2) - (10*a*b^9*B)/x - (A*(a + b*x)^11)/(11*a*x^11) + b^10*B*Log[x]","A",3,2,16,0.1250,1,"{78, 43}"
160,1,44,0,0.0111734,"\int \frac{(a+b x)^{10} (A+B x)}{x^{13}} \, dx","Int[((a + b*x)^10*(A + B*x))/x^13,x]","\frac{(a+b x)^{11} (A b-12 a B)}{132 a^2 x^{11}}-\frac{A (a+b x)^{11}}{12 a x^{12}}","\frac{(a+b x)^{11} (A b-12 a B)}{132 a^2 x^{11}}-\frac{A (a+b x)^{11}}{12 a x^{12}}",1,"-(A*(a + b*x)^11)/(12*a*x^12) + ((A*b - 12*a*B)*(a + b*x)^11)/(132*a^2*x^11)","A",2,2,16,0.1250,1,"{78, 37}"
161,1,72,0,0.0224224,"\int \frac{(a+b x)^{10} (A+B x)}{x^{14}} \, dx","Int[((a + b*x)^10*(A + B*x))/x^14,x]","-\frac{b (a+b x)^{11} (2 A b-13 a B)}{1716 a^3 x^{11}}+\frac{(a+b x)^{11} (2 A b-13 a B)}{156 a^2 x^{12}}-\frac{A (a+b x)^{11}}{13 a x^{13}}","-\frac{b (a+b x)^{11} (2 A b-13 a B)}{1716 a^3 x^{11}}+\frac{(a+b x)^{11} (2 A b-13 a B)}{156 a^2 x^{12}}-\frac{A (a+b x)^{11}}{13 a x^{13}}",1,"-(A*(a + b*x)^11)/(13*a*x^13) + ((2*A*b - 13*a*B)*(a + b*x)^11)/(156*a^2*x^12) - (b*(2*A*b - 13*a*B)*(a + b*x)^11)/(1716*a^3*x^11)","A",3,3,16,0.1875,1,"{78, 45, 37}"
162,1,101,0,0.0344756,"\int \frac{(a+b x)^{10} (A+B x)}{x^{15}} \, dx","Int[((a + b*x)^10*(A + B*x))/x^15,x]","\frac{b^2 (a+b x)^{11} (3 A b-14 a B)}{12012 a^4 x^{11}}-\frac{b (a+b x)^{11} (3 A b-14 a B)}{1092 a^3 x^{12}}+\frac{(a+b x)^{11} (3 A b-14 a B)}{182 a^2 x^{13}}-\frac{A (a+b x)^{11}}{14 a x^{14}}","\frac{b^2 (a+b x)^{11} (3 A b-14 a B)}{12012 a^4 x^{11}}-\frac{b (a+b x)^{11} (3 A b-14 a B)}{1092 a^3 x^{12}}+\frac{(a+b x)^{11} (3 A b-14 a B)}{182 a^2 x^{13}}-\frac{A (a+b x)^{11}}{14 a x^{14}}",1,"-(A*(a + b*x)^11)/(14*a*x^14) + ((3*A*b - 14*a*B)*(a + b*x)^11)/(182*a^2*x^13) - (b*(3*A*b - 14*a*B)*(a + b*x)^11)/(1092*a^3*x^12) + (b^2*(3*A*b - 14*a*B)*(a + b*x)^11)/(12012*a^4*x^11)","A",4,3,16,0.1875,1,"{78, 45, 37}"
163,1,130,0,0.0470627,"\int \frac{(a+b x)^{10} (A+B x)}{x^{16}} \, dx","Int[((a + b*x)^10*(A + B*x))/x^16,x]","-\frac{b^3 (a+b x)^{11} (4 A b-15 a B)}{60060 a^5 x^{11}}+\frac{b^2 (a+b x)^{11} (4 A b-15 a B)}{5460 a^4 x^{12}}-\frac{b (a+b x)^{11} (4 A b-15 a B)}{910 a^3 x^{13}}+\frac{(a+b x)^{11} (4 A b-15 a B)}{210 a^2 x^{14}}-\frac{A (a+b x)^{11}}{15 a x^{15}}","-\frac{b^3 (a+b x)^{11} (4 A b-15 a B)}{60060 a^5 x^{11}}+\frac{b^2 (a+b x)^{11} (4 A b-15 a B)}{5460 a^4 x^{12}}-\frac{b (a+b x)^{11} (4 A b-15 a B)}{910 a^3 x^{13}}+\frac{(a+b x)^{11} (4 A b-15 a B)}{210 a^2 x^{14}}-\frac{A (a+b x)^{11}}{15 a x^{15}}",1,"-(A*(a + b*x)^11)/(15*a*x^15) + ((4*A*b - 15*a*B)*(a + b*x)^11)/(210*a^2*x^14) - (b*(4*A*b - 15*a*B)*(a + b*x)^11)/(910*a^3*x^13) + (b^2*(4*A*b - 15*a*B)*(a + b*x)^11)/(5460*a^4*x^12) - (b^3*(4*A*b - 15*a*B)*(a + b*x)^11)/(60060*a^5*x^11)","A",5,3,16,0.1875,1,"{78, 45, 37}"
164,1,159,0,0.0584872,"\int \frac{(a+b x)^{10} (A+B x)}{x^{17}} \, dx","Int[((a + b*x)^10*(A + B*x))/x^17,x]","\frac{b^4 (a+b x)^{11} (5 A b-16 a B)}{240240 a^6 x^{11}}-\frac{b^3 (a+b x)^{11} (5 A b-16 a B)}{21840 a^5 x^{12}}+\frac{b^2 (a+b x)^{11} (5 A b-16 a B)}{3640 a^4 x^{13}}-\frac{b (a+b x)^{11} (5 A b-16 a B)}{840 a^3 x^{14}}+\frac{(a+b x)^{11} (5 A b-16 a B)}{240 a^2 x^{15}}-\frac{A (a+b x)^{11}}{16 a x^{16}}","\frac{b^4 (a+b x)^{11} (5 A b-16 a B)}{240240 a^6 x^{11}}-\frac{b^3 (a+b x)^{11} (5 A b-16 a B)}{21840 a^5 x^{12}}+\frac{b^2 (a+b x)^{11} (5 A b-16 a B)}{3640 a^4 x^{13}}-\frac{b (a+b x)^{11} (5 A b-16 a B)}{840 a^3 x^{14}}+\frac{(a+b x)^{11} (5 A b-16 a B)}{240 a^2 x^{15}}-\frac{A (a+b x)^{11}}{16 a x^{16}}",1,"-(A*(a + b*x)^11)/(16*a*x^16) + ((5*A*b - 16*a*B)*(a + b*x)^11)/(240*a^2*x^15) - (b*(5*A*b - 16*a*B)*(a + b*x)^11)/(840*a^3*x^14) + (b^2*(5*A*b - 16*a*B)*(a + b*x)^11)/(3640*a^4*x^13) - (b^3*(5*A*b - 16*a*B)*(a + b*x)^11)/(21840*a^5*x^12) + (b^4*(5*A*b - 16*a*B)*(a + b*x)^11)/(240240*a^6*x^11)","A",6,3,16,0.1875,1,"{78, 45, 37}"
165,1,188,0,0.0767778,"\int \frac{(a+b x)^{10} (A+B x)}{x^{18}} \, dx","Int[((a + b*x)^10*(A + B*x))/x^18,x]","-\frac{b^5 (a+b x)^{11} (6 A b-17 a B)}{816816 a^7 x^{11}}+\frac{b^4 (a+b x)^{11} (6 A b-17 a B)}{74256 a^6 x^{12}}-\frac{b^3 (a+b x)^{11} (6 A b-17 a B)}{12376 a^5 x^{13}}+\frac{b^2 (a+b x)^{11} (6 A b-17 a B)}{2856 a^4 x^{14}}-\frac{b (a+b x)^{11} (6 A b-17 a B)}{816 a^3 x^{15}}+\frac{(a+b x)^{11} (6 A b-17 a B)}{272 a^2 x^{16}}-\frac{A (a+b x)^{11}}{17 a x^{17}}","-\frac{b^5 (a+b x)^{11} (6 A b-17 a B)}{816816 a^7 x^{11}}+\frac{b^4 (a+b x)^{11} (6 A b-17 a B)}{74256 a^6 x^{12}}-\frac{b^3 (a+b x)^{11} (6 A b-17 a B)}{12376 a^5 x^{13}}+\frac{b^2 (a+b x)^{11} (6 A b-17 a B)}{2856 a^4 x^{14}}-\frac{b (a+b x)^{11} (6 A b-17 a B)}{816 a^3 x^{15}}+\frac{(a+b x)^{11} (6 A b-17 a B)}{272 a^2 x^{16}}-\frac{A (a+b x)^{11}}{17 a x^{17}}",1,"-(A*(a + b*x)^11)/(17*a*x^17) + ((6*A*b - 17*a*B)*(a + b*x)^11)/(272*a^2*x^16) - (b*(6*A*b - 17*a*B)*(a + b*x)^11)/(816*a^3*x^15) + (b^2*(6*A*b - 17*a*B)*(a + b*x)^11)/(2856*a^4*x^14) - (b^3*(6*A*b - 17*a*B)*(a + b*x)^11)/(12376*a^5*x^13) + (b^4*(6*A*b - 17*a*B)*(a + b*x)^11)/(74256*a^6*x^12) - (b^5*(6*A*b - 17*a*B)*(a + b*x)^11)/(816816*a^7*x^11)","A",7,3,16,0.1875,1,"{78, 45, 37}"
166,1,229,0,0.1402053,"\int \frac{(a+b x)^{10} (A+B x)}{x^{19}} \, dx","Int[((a + b*x)^10*(A + B*x))/x^19,x]","-\frac{a^7 b^2 (3 a B+8 A b)}{x^{15}}-\frac{15 a^6 b^3 (4 a B+7 A b)}{7 x^{14}}-\frac{42 a^5 b^4 (5 a B+6 A b)}{13 x^{13}}-\frac{7 a^4 b^5 (6 a B+5 A b)}{2 x^{12}}-\frac{30 a^3 b^6 (7 a B+4 A b)}{11 x^{11}}-\frac{3 a^2 b^7 (8 a B+3 A b)}{2 x^{10}}-\frac{a^9 (a B+10 A b)}{17 x^{17}}-\frac{5 a^8 b (2 a B+9 A b)}{16 x^{16}}-\frac{a^{10} A}{18 x^{18}}-\frac{5 a b^8 (9 a B+2 A b)}{9 x^9}-\frac{b^9 (10 a B+A b)}{8 x^8}-\frac{b^{10} B}{7 x^7}","-\frac{a^7 b^2 (3 a B+8 A b)}{x^{15}}-\frac{15 a^6 b^3 (4 a B+7 A b)}{7 x^{14}}-\frac{42 a^5 b^4 (5 a B+6 A b)}{13 x^{13}}-\frac{7 a^4 b^5 (6 a B+5 A b)}{2 x^{12}}-\frac{30 a^3 b^6 (7 a B+4 A b)}{11 x^{11}}-\frac{3 a^2 b^7 (8 a B+3 A b)}{2 x^{10}}-\frac{a^9 (a B+10 A b)}{17 x^{17}}-\frac{5 a^8 b (2 a B+9 A b)}{16 x^{16}}-\frac{a^{10} A}{18 x^{18}}-\frac{5 a b^8 (9 a B+2 A b)}{9 x^9}-\frac{b^9 (10 a B+A b)}{8 x^8}-\frac{b^{10} B}{7 x^7}",1,"-(a^10*A)/(18*x^18) - (a^9*(10*A*b + a*B))/(17*x^17) - (5*a^8*b*(9*A*b + 2*a*B))/(16*x^16) - (a^7*b^2*(8*A*b + 3*a*B))/x^15 - (15*a^6*b^3*(7*A*b + 4*a*B))/(7*x^14) - (42*a^5*b^4*(6*A*b + 5*a*B))/(13*x^13) - (7*a^4*b^5*(5*A*b + 6*a*B))/(2*x^12) - (30*a^3*b^6*(4*A*b + 7*a*B))/(11*x^11) - (3*a^2*b^7*(3*A*b + 8*a*B))/(2*x^10) - (5*a*b^8*(2*A*b + 9*a*B))/(9*x^9) - (b^9*(A*b + 10*a*B))/(8*x^8) - (b^10*B)/(7*x^7)","A",2,1,16,0.06250,1,"{76}"
167,1,227,0,0.1288332,"\int \frac{(a+b x)^{10} (A+B x)}{x^{20}} \, dx","Int[((a + b*x)^10*(A + B*x))/x^20,x]","-\frac{15 a^7 b^2 (3 a B+8 A b)}{16 x^{16}}-\frac{2 a^6 b^3 (4 a B+7 A b)}{x^{15}}-\frac{3 a^5 b^4 (5 a B+6 A b)}{x^{14}}-\frac{42 a^4 b^5 (6 a B+5 A b)}{13 x^{13}}-\frac{5 a^3 b^6 (7 a B+4 A b)}{2 x^{12}}-\frac{15 a^2 b^7 (8 a B+3 A b)}{11 x^{11}}-\frac{a^9 (a B+10 A b)}{18 x^{18}}-\frac{5 a^8 b (2 a B+9 A b)}{17 x^{17}}-\frac{a^{10} A}{19 x^{19}}-\frac{a b^8 (9 a B+2 A b)}{2 x^{10}}-\frac{b^9 (10 a B+A b)}{9 x^9}-\frac{b^{10} B}{8 x^8}","-\frac{15 a^7 b^2 (3 a B+8 A b)}{16 x^{16}}-\frac{2 a^6 b^3 (4 a B+7 A b)}{x^{15}}-\frac{3 a^5 b^4 (5 a B+6 A b)}{x^{14}}-\frac{42 a^4 b^5 (6 a B+5 A b)}{13 x^{13}}-\frac{5 a^3 b^6 (7 a B+4 A b)}{2 x^{12}}-\frac{15 a^2 b^7 (8 a B+3 A b)}{11 x^{11}}-\frac{a^9 (a B+10 A b)}{18 x^{18}}-\frac{5 a^8 b (2 a B+9 A b)}{17 x^{17}}-\frac{a^{10} A}{19 x^{19}}-\frac{a b^8 (9 a B+2 A b)}{2 x^{10}}-\frac{b^9 (10 a B+A b)}{9 x^9}-\frac{b^{10} B}{8 x^8}",1,"-(a^10*A)/(19*x^19) - (a^9*(10*A*b + a*B))/(18*x^18) - (5*a^8*b*(9*A*b + 2*a*B))/(17*x^17) - (15*a^7*b^2*(8*A*b + 3*a*B))/(16*x^16) - (2*a^6*b^3*(7*A*b + 4*a*B))/x^15 - (3*a^5*b^4*(6*A*b + 5*a*B))/x^14 - (42*a^4*b^5*(5*A*b + 6*a*B))/(13*x^13) - (5*a^3*b^6*(4*A*b + 7*a*B))/(2*x^12) - (15*a^2*b^7*(3*A*b + 8*a*B))/(11*x^11) - (a*b^8*(2*A*b + 9*a*B))/(2*x^10) - (b^9*(A*b + 10*a*B))/(9*x^9) - (b^10*B)/(8*x^8)","A",2,1,16,0.06250,1,"{76}"
168,1,229,0,0.1440659,"\int \frac{(a+b x)^{10} (A+B x)}{x^{21}} \, dx","Int[((a + b*x)^10*(A + B*x))/x^21,x]","-\frac{15 a^7 b^2 (3 a B+8 A b)}{17 x^{17}}-\frac{15 a^6 b^3 (4 a B+7 A b)}{8 x^{16}}-\frac{14 a^5 b^4 (5 a B+6 A b)}{5 x^{15}}-\frac{3 a^4 b^5 (6 a B+5 A b)}{x^{14}}-\frac{30 a^3 b^6 (7 a B+4 A b)}{13 x^{13}}-\frac{5 a^2 b^7 (8 a B+3 A b)}{4 x^{12}}-\frac{a^9 (a B+10 A b)}{19 x^{19}}-\frac{5 a^8 b (2 a B+9 A b)}{18 x^{18}}-\frac{a^{10} A}{20 x^{20}}-\frac{5 a b^8 (9 a B+2 A b)}{11 x^{11}}-\frac{b^9 (10 a B+A b)}{10 x^{10}}-\frac{b^{10} B}{9 x^9}","-\frac{15 a^7 b^2 (3 a B+8 A b)}{17 x^{17}}-\frac{15 a^6 b^3 (4 a B+7 A b)}{8 x^{16}}-\frac{14 a^5 b^4 (5 a B+6 A b)}{5 x^{15}}-\frac{3 a^4 b^5 (6 a B+5 A b)}{x^{14}}-\frac{30 a^3 b^6 (7 a B+4 A b)}{13 x^{13}}-\frac{5 a^2 b^7 (8 a B+3 A b)}{4 x^{12}}-\frac{a^9 (a B+10 A b)}{19 x^{19}}-\frac{5 a^8 b (2 a B+9 A b)}{18 x^{18}}-\frac{a^{10} A}{20 x^{20}}-\frac{5 a b^8 (9 a B+2 A b)}{11 x^{11}}-\frac{b^9 (10 a B+A b)}{10 x^{10}}-\frac{b^{10} B}{9 x^9}",1,"-(a^10*A)/(20*x^20) - (a^9*(10*A*b + a*B))/(19*x^19) - (5*a^8*b*(9*A*b + 2*a*B))/(18*x^18) - (15*a^7*b^2*(8*A*b + 3*a*B))/(17*x^17) - (15*a^6*b^3*(7*A*b + 4*a*B))/(8*x^16) - (14*a^5*b^4*(6*A*b + 5*a*B))/(5*x^15) - (3*a^4*b^5*(5*A*b + 6*a*B))/x^14 - (30*a^3*b^6*(4*A*b + 7*a*B))/(13*x^13) - (5*a^2*b^7*(3*A*b + 8*a*B))/(4*x^12) - (5*a*b^8*(2*A*b + 9*a*B))/(11*x^11) - (b^9*(A*b + 10*a*B))/(10*x^10) - (b^10*B)/(9*x^9)","A",2,1,16,0.06250,1,"{76}"
169,1,114,0,0.3640026,"\int x^3 (a+b x) (c+d x)^{16} \, dx","Int[x^3*(a + b*x)*(c + d*x)^16,x]","-\frac{c^2 (c+d x)^{18} (4 b c-3 a d)}{18 d^5}+\frac{c^3 (c+d x)^{17} (b c-a d)}{17 d^5}-\frac{(c+d x)^{20} (4 b c-a d)}{20 d^5}+\frac{3 c (c+d x)^{19} (2 b c-a d)}{19 d^5}+\frac{b (c+d x)^{21}}{21 d^5}","-\frac{c^2 (c+d x)^{18} (4 b c-3 a d)}{18 d^5}+\frac{c^3 (c+d x)^{17} (b c-a d)}{17 d^5}-\frac{(c+d x)^{20} (4 b c-a d)}{20 d^5}+\frac{3 c (c+d x)^{19} (2 b c-a d)}{19 d^5}+\frac{b (c+d x)^{21}}{21 d^5}",1,"(c^3*(b*c - a*d)*(c + d*x)^17)/(17*d^5) - (c^2*(4*b*c - 3*a*d)*(c + d*x)^18)/(18*d^5) + (3*c*(2*b*c - a*d)*(c + d*x)^19)/(19*d^5) - ((4*b*c - a*d)*(c + d*x)^20)/(20*d^5) + (b*(c + d*x)^21)/(21*d^5)","A",2,1,16,0.06250,1,"{76}"
170,1,88,0,0.1834499,"\int x^2 (a+b x) (c+d x)^{16} \, dx","Int[x^2*(a + b*x)*(c + d*x)^16,x]","-\frac{c^2 (c+d x)^{17} (b c-a d)}{17 d^4}-\frac{(c+d x)^{19} (3 b c-a d)}{19 d^4}+\frac{c (c+d x)^{18} (3 b c-2 a d)}{18 d^4}+\frac{b (c+d x)^{20}}{20 d^4}","-\frac{c^2 (c+d x)^{17} (b c-a d)}{17 d^4}-\frac{(c+d x)^{19} (3 b c-a d)}{19 d^4}+\frac{c (c+d x)^{18} (3 b c-2 a d)}{18 d^4}+\frac{b (c+d x)^{20}}{20 d^4}",1,"-(c^2*(b*c - a*d)*(c + d*x)^17)/(17*d^4) + (c*(3*b*c - 2*a*d)*(c + d*x)^18)/(18*d^4) - ((3*b*c - a*d)*(c + d*x)^19)/(19*d^4) + (b*(c + d*x)^20)/(20*d^4)","A",2,1,16,0.06250,1,"{76}"
171,1,62,0,0.1258378,"\int x (a+b x) (c+d x)^{16} \, dx","Int[x*(a + b*x)*(c + d*x)^16,x]","-\frac{(c+d x)^{18} (2 b c-a d)}{18 d^3}+\frac{c (c+d x)^{17} (b c-a d)}{17 d^3}+\frac{b (c+d x)^{19}}{19 d^3}","-\frac{(c+d x)^{18} (2 b c-a d)}{18 d^3}+\frac{c (c+d x)^{17} (b c-a d)}{17 d^3}+\frac{b (c+d x)^{19}}{19 d^3}",1,"(c*(b*c - a*d)*(c + d*x)^17)/(17*d^3) - ((2*b*c - a*d)*(c + d*x)^18)/(18*d^3) + (b*(c + d*x)^19)/(19*d^3)","A",2,1,14,0.07143,1,"{76}"
172,1,38,0,0.0143954,"\int (a+b x) (c+d x)^{16} \, dx","Int[(a + b*x)*(c + d*x)^16,x]","\frac{b (c+d x)^{18}}{18 d^2}-\frac{(c+d x)^{17} (b c-a d)}{17 d^2}","\frac{b (c+d x)^{18}}{18 d^2}-\frac{(c+d x)^{17} (b c-a d)}{17 d^2}",1,"-((b*c - a*d)*(c + d*x)^17)/(17*d^2) + (b*(c + d*x)^18)/(18*d^2)","A",2,1,13,0.07692,1,"{43}"
173,1,12,0,0.0012158,"\int x^2 (2+x)^5 (2+3 x) \, dx","Int[x^2*(2 + x)^5*(2 + 3*x),x]","\frac{1}{3} x^3 (x+2)^6","\frac{1}{3} x^3 (x+2)^6",1,"(x^3*(2 + x)^6)/3","A",1,1,14,0.07143,1,"{74}"
174,1,108,0,0.0909027,"\int \frac{x^4 (A+B x)}{a+b x} \, dx","Int[(x^4*(A + B*x))/(a + b*x),x]","\frac{a^2 x^2 (A b-a B)}{2 b^4}-\frac{a^3 x (A b-a B)}{b^5}+\frac{a^4 (A b-a B) \log (a+b x)}{b^6}+\frac{x^4 (A b-a B)}{4 b^2}-\frac{a x^3 (A b-a B)}{3 b^3}+\frac{B x^5}{5 b}","\frac{a^2 x^2 (A b-a B)}{2 b^4}-\frac{a^3 x (A b-a B)}{b^5}+\frac{a^4 (A b-a B) \log (a+b x)}{b^6}+\frac{x^4 (A b-a B)}{4 b^2}-\frac{a x^3 (A b-a B)}{3 b^3}+\frac{B x^5}{5 b}",1,"-((a^3*(A*b - a*B)*x)/b^5) + (a^2*(A*b - a*B)*x^2)/(2*b^4) - (a*(A*b - a*B)*x^3)/(3*b^3) + ((A*b - a*B)*x^4)/(4*b^2) + (B*x^5)/(5*b) + (a^4*(A*b - a*B)*Log[a + b*x])/b^6","A",2,1,16,0.06250,1,"{77}"
175,1,87,0,0.0628807,"\int \frac{x^3 (A+B x)}{a+b x} \, dx","Int[(x^3*(A + B*x))/(a + b*x),x]","\frac{a^2 x (A b-a B)}{b^4}-\frac{a^3 (A b-a B) \log (a+b x)}{b^5}+\frac{x^3 (A b-a B)}{3 b^2}-\frac{a x^2 (A b-a B)}{2 b^3}+\frac{B x^4}{4 b}","\frac{a^2 x (A b-a B)}{b^4}-\frac{a^3 (A b-a B) \log (a+b x)}{b^5}+\frac{x^3 (A b-a B)}{3 b^2}-\frac{a x^2 (A b-a B)}{2 b^3}+\frac{B x^4}{4 b}",1,"(a^2*(A*b - a*B)*x)/b^4 - (a*(A*b - a*B)*x^2)/(2*b^3) + ((A*b - a*B)*x^3)/(3*b^2) + (B*x^4)/(4*b) - (a^3*(A*b - a*B)*Log[a + b*x])/b^5","A",2,1,16,0.06250,1,"{77}"
176,1,66,0,0.0467123,"\int \frac{x^2 (A+B x)}{a+b x} \, dx","Int[(x^2*(A + B*x))/(a + b*x),x]","\frac{a^2 (A b-a B) \log (a+b x)}{b^4}+\frac{x^2 (A b-a B)}{2 b^2}-\frac{a x (A b-a B)}{b^3}+\frac{B x^3}{3 b}","\frac{a^2 (A b-a B) \log (a+b x)}{b^4}+\frac{x^2 (A b-a B)}{2 b^2}-\frac{a x (A b-a B)}{b^3}+\frac{B x^3}{3 b}",1,"-((a*(A*b - a*B)*x)/b^3) + ((A*b - a*B)*x^2)/(2*b^2) + (B*x^3)/(3*b) + (a^2*(A*b - a*B)*Log[a + b*x])/b^4","A",2,1,16,0.06250,1,"{77}"
177,1,45,0,0.0294363,"\int \frac{x (A+B x)}{a+b x} \, dx","Int[(x*(A + B*x))/(a + b*x),x]","\frac{x (A b-a B)}{b^2}-\frac{a (A b-a B) \log (a+b x)}{b^3}+\frac{B x^2}{2 b}","\frac{x (A b-a B)}{b^2}-\frac{a (A b-a B) \log (a+b x)}{b^3}+\frac{B x^2}{2 b}",1,"((A*b - a*B)*x)/b^2 + (B*x^2)/(2*b) - (a*(A*b - a*B)*Log[a + b*x])/b^3","A",2,1,14,0.07143,1,"{77}"
178,1,25,0,0.0170919,"\int \frac{A+B x}{a+b x} \, dx","Int[(A + B*x)/(a + b*x),x]","\frac{(A b-a B) \log (a+b x)}{b^2}+\frac{B x}{b}","\frac{(A b-a B) \log (a+b x)}{b^2}+\frac{B x}{b}",1,"(B*x)/b + ((A*b - a*B)*Log[a + b*x])/b^2","A",2,1,13,0.07692,1,"{43}"
179,1,30,0,0.0184414,"\int \frac{A+B x}{x (a+b x)} \, dx","Int[(A + B*x)/(x*(a + b*x)),x]","\frac{A \log (x)}{a}-\frac{(A b-a B) \log (a+b x)}{a b}","\frac{A \log (x)}{a}-\frac{(A b-a B) \log (a+b x)}{a b}",1,"(A*Log[x])/a - ((A*b - a*B)*Log[a + b*x])/(a*b)","A",2,1,16,0.06250,1,"{72}"
180,1,43,0,0.0278808,"\int \frac{A+B x}{x^2 (a+b x)} \, dx","Int[(A + B*x)/(x^2*(a + b*x)),x]","-\frac{\log (x) (A b-a B)}{a^2}+\frac{(A b-a B) \log (a+b x)}{a^2}-\frac{A}{a x}","-\frac{\log (x) (A b-a B)}{a^2}+\frac{(A b-a B) \log (a+b x)}{a^2}-\frac{A}{a x}",1,"-(A/(a*x)) - ((A*b - a*B)*Log[x])/a^2 + ((A*b - a*B)*Log[a + b*x])/a^2","A",2,1,16,0.06250,1,"{77}"
181,1,62,0,0.0385763,"\int \frac{A+B x}{x^3 (a+b x)} \, dx","Int[(A + B*x)/(x^3*(a + b*x)),x]","\frac{A b-a B}{a^2 x}+\frac{b \log (x) (A b-a B)}{a^3}-\frac{b (A b-a B) \log (a+b x)}{a^3}-\frac{A}{2 a x^2}","\frac{A b-a B}{a^2 x}+\frac{b \log (x) (A b-a B)}{a^3}-\frac{b (A b-a B) \log (a+b x)}{a^3}-\frac{A}{2 a x^2}",1,"-A/(2*a*x^2) + (A*b - a*B)/(a^2*x) + (b*(A*b - a*B)*Log[x])/a^3 - (b*(A*b - a*B)*Log[a + b*x])/a^3","A",2,1,16,0.06250,1,"{77}"
182,1,86,0,0.0506325,"\int \frac{A+B x}{x^4 (a+b x)} \, dx","Int[(A + B*x)/(x^4*(a + b*x)),x]","-\frac{b^2 \log (x) (A b-a B)}{a^4}+\frac{b^2 (A b-a B) \log (a+b x)}{a^4}+\frac{A b-a B}{2 a^2 x^2}-\frac{b (A b-a B)}{a^3 x}-\frac{A}{3 a x^3}","-\frac{b^2 \log (x) (A b-a B)}{a^4}+\frac{b^2 (A b-a B) \log (a+b x)}{a^4}+\frac{A b-a B}{2 a^2 x^2}-\frac{b (A b-a B)}{a^3 x}-\frac{A}{3 a x^3}",1,"-A/(3*a*x^3) + (A*b - a*B)/(2*a^2*x^2) - (b*(A*b - a*B))/(a^3*x) - (b^2*(A*b - a*B)*Log[x])/a^4 + (b^2*(A*b - a*B)*Log[a + b*x])/a^4","A",2,1,16,0.06250,1,"{77}"
183,1,106,0,0.0595751,"\int \frac{A+B x}{x^5 (a+b x)} \, dx","Int[(A + B*x)/(x^5*(a + b*x)),x]","\frac{b^2 (A b-a B)}{a^4 x}+\frac{b^3 \log (x) (A b-a B)}{a^5}-\frac{b^3 (A b-a B) \log (a+b x)}{a^5}-\frac{b (A b-a B)}{2 a^3 x^2}+\frac{A b-a B}{3 a^2 x^3}-\frac{A}{4 a x^4}","\frac{b^2 (A b-a B)}{a^4 x}+\frac{b^3 \log (x) (A b-a B)}{a^5}-\frac{b^3 (A b-a B) \log (a+b x)}{a^5}-\frac{b (A b-a B)}{2 a^3 x^2}+\frac{A b-a B}{3 a^2 x^3}-\frac{A}{4 a x^4}",1,"-A/(4*a*x^4) + (A*b - a*B)/(3*a^2*x^3) - (b*(A*b - a*B))/(2*a^3*x^2) + (b^2*(A*b - a*B))/(a^4*x) + (b^3*(A*b - a*B)*Log[x])/a^5 - (b^3*(A*b - a*B)*Log[a + b*x])/a^5","A",2,1,16,0.06250,1,"{77}"
184,1,113,0,0.1122881,"\int \frac{x^4 (A+B x)}{(a+b x)^2} \, dx","Int[(x^4*(A + B*x))/(a + b*x)^2,x]","-\frac{a^4 (A b-a B)}{b^6 (a+b x)}+\frac{a^2 x (3 A b-4 a B)}{b^5}-\frac{a^3 (4 A b-5 a B) \log (a+b x)}{b^6}-\frac{a x^2 (2 A b-3 a B)}{2 b^4}+\frac{x^3 (A b-2 a B)}{3 b^3}+\frac{B x^4}{4 b^2}","-\frac{a^4 (A b-a B)}{b^6 (a+b x)}+\frac{a^2 x (3 A b-4 a B)}{b^5}-\frac{a^3 (4 A b-5 a B) \log (a+b x)}{b^6}-\frac{a x^2 (2 A b-3 a B)}{2 b^4}+\frac{x^3 (A b-2 a B)}{3 b^3}+\frac{B x^4}{4 b^2}",1,"(a^2*(3*A*b - 4*a*B)*x)/b^5 - (a*(2*A*b - 3*a*B)*x^2)/(2*b^4) + ((A*b - 2*a*B)*x^3)/(3*b^3) + (B*x^4)/(4*b^2) - (a^4*(A*b - a*B))/(b^6*(a + b*x)) - (a^3*(4*A*b - 5*a*B)*Log[a + b*x])/b^6","A",2,1,16,0.06250,1,"{77}"
185,1,90,0,0.0751968,"\int \frac{x^3 (A+B x)}{(a+b x)^2} \, dx","Int[(x^3*(A + B*x))/(a + b*x)^2,x]","\frac{a^3 (A b-a B)}{b^5 (a+b x)}+\frac{a^2 (3 A b-4 a B) \log (a+b x)}{b^5}+\frac{x^2 (A b-2 a B)}{2 b^3}-\frac{a x (2 A b-3 a B)}{b^4}+\frac{B x^3}{3 b^2}","\frac{a^3 (A b-a B)}{b^5 (a+b x)}+\frac{a^2 (3 A b-4 a B) \log (a+b x)}{b^5}+\frac{x^2 (A b-2 a B)}{2 b^3}-\frac{a x (2 A b-3 a B)}{b^4}+\frac{B x^3}{3 b^2}",1,"-((a*(2*A*b - 3*a*B)*x)/b^4) + ((A*b - 2*a*B)*x^2)/(2*b^3) + (B*x^3)/(3*b^2) + (a^3*(A*b - a*B))/(b^5*(a + b*x)) + (a^2*(3*A*b - 4*a*B)*Log[a + b*x])/b^5","A",2,1,16,0.06250,1,"{77}"
186,1,69,0,0.0538076,"\int \frac{x^2 (A+B x)}{(a+b x)^2} \, dx","Int[(x^2*(A + B*x))/(a + b*x)^2,x]","-\frac{a^2 (A b-a B)}{b^4 (a+b x)}+\frac{x (A b-2 a B)}{b^3}-\frac{a (2 A b-3 a B) \log (a+b x)}{b^4}+\frac{B x^2}{2 b^2}","-\frac{a^2 (A b-a B)}{b^4 (a+b x)}+\frac{x (A b-2 a B)}{b^3}-\frac{a (2 A b-3 a B) \log (a+b x)}{b^4}+\frac{B x^2}{2 b^2}",1,"((A*b - 2*a*B)*x)/b^3 + (B*x^2)/(2*b^2) - (a^2*(A*b - a*B))/(b^4*(a + b*x)) - (a*(2*A*b - 3*a*B)*Log[a + b*x])/b^4","A",2,1,16,0.06250,1,"{77}"
187,1,45,0,0.034364,"\int \frac{x (A+B x)}{(a+b x)^2} \, dx","Int[(x*(A + B*x))/(a + b*x)^2,x]","\frac{a (A b-a B)}{b^3 (a+b x)}+\frac{(A b-2 a B) \log (a+b x)}{b^3}+\frac{B x}{b^2}","\frac{a (A b-a B)}{b^3 (a+b x)}+\frac{(A b-2 a B) \log (a+b x)}{b^3}+\frac{B x}{b^2}",1,"(B*x)/b^2 + (a*(A*b - a*B))/(b^3*(a + b*x)) + ((A*b - 2*a*B)*Log[a + b*x])/b^3","A",2,1,14,0.07143,1,"{77}"
188,1,32,0,0.0204408,"\int \frac{A+B x}{(a+b x)^2} \, dx","Int[(A + B*x)/(a + b*x)^2,x]","\frac{B \log (a+b x)}{b^2}-\frac{A b-a B}{b^2 (a+b x)}","\frac{B \log (a+b x)}{b^2}-\frac{A b-a B}{b^2 (a+b x)}",1,"-((A*b - a*B)/(b^2*(a + b*x))) + (B*Log[a + b*x])/b^2","A",2,1,13,0.07692,1,"{43}"
189,1,42,0,0.0249285,"\int \frac{A+B x}{x (a+b x)^2} \, dx","Int[(A + B*x)/(x*(a + b*x)^2),x]","-\frac{A \log (a+b x)}{a^2}+\frac{A \log (x)}{a^2}+\frac{A b-a B}{a b (a+b x)}","-\frac{A \log (a+b x)}{a^2}+\frac{A \log (x)}{a^2}+\frac{A b-a B}{a b (a+b x)}",1,"(A*b - a*B)/(a*b*(a + b*x)) + (A*Log[x])/a^2 - (A*Log[a + b*x])/a^2","A",2,1,16,0.06250,1,"{77}"
190,1,65,0,0.0484908,"\int \frac{A+B x}{x^2 (a+b x)^2} \, dx","Int[(A + B*x)/(x^2*(a + b*x)^2),x]","-\frac{A b-a B}{a^2 (a+b x)}-\frac{\log (x) (2 A b-a B)}{a^3}+\frac{(2 A b-a B) \log (a+b x)}{a^3}-\frac{A}{a^2 x}","-\frac{A b-a B}{a^2 (a+b x)}-\frac{\log (x) (2 A b-a B)}{a^3}+\frac{(2 A b-a B) \log (a+b x)}{a^3}-\frac{A}{a^2 x}",1,"-(A/(a^2*x)) - (A*b - a*B)/(a^2*(a + b*x)) - ((2*A*b - a*B)*Log[x])/a^3 + ((2*A*b - a*B)*Log[a + b*x])/a^3","A",2,1,16,0.06250,1,"{77}"
191,1,85,0,0.0651152,"\int \frac{A+B x}{x^3 (a+b x)^2} \, dx","Int[(A + B*x)/(x^3*(a + b*x)^2),x]","\frac{2 A b-a B}{a^3 x}+\frac{b (A b-a B)}{a^3 (a+b x)}+\frac{b \log (x) (3 A b-2 a B)}{a^4}-\frac{b (3 A b-2 a B) \log (a+b x)}{a^4}-\frac{A}{2 a^2 x^2}","\frac{2 A b-a B}{a^3 x}+\frac{b (A b-a B)}{a^3 (a+b x)}+\frac{b \log (x) (3 A b-2 a B)}{a^4}-\frac{b (3 A b-2 a B) \log (a+b x)}{a^4}-\frac{A}{2 a^2 x^2}",1,"-A/(2*a^2*x^2) + (2*A*b - a*B)/(a^3*x) + (b*(A*b - a*B))/(a^3*(a + b*x)) + (b*(3*A*b - 2*a*B)*Log[x])/a^4 - (b*(3*A*b - 2*a*B)*Log[a + b*x])/a^4","A",2,1,16,0.06250,1,"{77}"
192,1,113,0,0.0884852,"\int \frac{A+B x}{x^4 (a+b x)^2} \, dx","Int[(A + B*x)/(x^4*(a + b*x)^2),x]","-\frac{b^2 (A b-a B)}{a^4 (a+b x)}-\frac{b^2 \log (x) (4 A b-3 a B)}{a^5}+\frac{b^2 (4 A b-3 a B) \log (a+b x)}{a^5}+\frac{2 A b-a B}{2 a^3 x^2}-\frac{b (3 A b-2 a B)}{a^4 x}-\frac{A}{3 a^2 x^3}","-\frac{b^2 (A b-a B)}{a^4 (a+b x)}-\frac{b^2 \log (x) (4 A b-3 a B)}{a^5}+\frac{b^2 (4 A b-3 a B) \log (a+b x)}{a^5}+\frac{2 A b-a B}{2 a^3 x^2}-\frac{b (3 A b-2 a B)}{a^4 x}-\frac{A}{3 a^2 x^3}",1,"-A/(3*a^2*x^3) + (2*A*b - a*B)/(2*a^3*x^2) - (b*(3*A*b - 2*a*B))/(a^4*x) - (b^2*(A*b - a*B))/(a^4*(a + b*x)) - (b^2*(4*A*b - 3*a*B)*Log[x])/a^5 + (b^2*(4*A*b - 3*a*B)*Log[a + b*x])/a^5","A",2,1,16,0.06250,1,"{77}"
193,1,116,0,0.1137539,"\int \frac{x^4 (A+B x)}{(a+b x)^3} \, dx","Int[(x^4*(A + B*x))/(a + b*x)^3,x]","-\frac{a^4 (A b-a B)}{2 b^6 (a+b x)^2}+\frac{a^3 (4 A b-5 a B)}{b^6 (a+b x)}+\frac{2 a^2 (3 A b-5 a B) \log (a+b x)}{b^6}+\frac{x^2 (A b-3 a B)}{2 b^4}-\frac{3 a x (A b-2 a B)}{b^5}+\frac{B x^3}{3 b^3}","-\frac{a^4 (A b-a B)}{2 b^6 (a+b x)^2}+\frac{a^3 (4 A b-5 a B)}{b^6 (a+b x)}+\frac{2 a^2 (3 A b-5 a B) \log (a+b x)}{b^6}+\frac{x^2 (A b-3 a B)}{2 b^4}-\frac{3 a x (A b-2 a B)}{b^5}+\frac{B x^3}{3 b^3}",1,"(-3*a*(A*b - 2*a*B)*x)/b^5 + ((A*b - 3*a*B)*x^2)/(2*b^4) + (B*x^3)/(3*b^3) - (a^4*(A*b - a*B))/(2*b^6*(a + b*x)^2) + (a^3*(4*A*b - 5*a*B))/(b^6*(a + b*x)) + (2*a^2*(3*A*b - 5*a*B)*Log[a + b*x])/b^6","A",2,1,16,0.06250,1,"{77}"
194,1,94,0,0.0809364,"\int \frac{x^3 (A+B x)}{(a+b x)^3} \, dx","Int[(x^3*(A + B*x))/(a + b*x)^3,x]","\frac{a^3 (A b-a B)}{2 b^5 (a+b x)^2}-\frac{a^2 (3 A b-4 a B)}{b^5 (a+b x)}+\frac{x (A b-3 a B)}{b^4}-\frac{3 a (A b-2 a B) \log (a+b x)}{b^5}+\frac{B x^2}{2 b^3}","\frac{a^3 (A b-a B)}{2 b^5 (a+b x)^2}-\frac{a^2 (3 A b-4 a B)}{b^5 (a+b x)}+\frac{x (A b-3 a B)}{b^4}-\frac{3 a (A b-2 a B) \log (a+b x)}{b^5}+\frac{B x^2}{2 b^3}",1,"((A*b - 3*a*B)*x)/b^4 + (B*x^2)/(2*b^3) + (a^3*(A*b - a*B))/(2*b^5*(a + b*x)^2) - (a^2*(3*A*b - 4*a*B))/(b^5*(a + b*x)) - (3*a*(A*b - 2*a*B)*Log[a + b*x])/b^5","A",2,1,16,0.06250,1,"{77}"
195,1,71,0,0.0574297,"\int \frac{x^2 (A+B x)}{(a+b x)^3} \, dx","Int[(x^2*(A + B*x))/(a + b*x)^3,x]","-\frac{a^2 (A b-a B)}{2 b^4 (a+b x)^2}+\frac{a (2 A b-3 a B)}{b^4 (a+b x)}+\frac{(A b-3 a B) \log (a+b x)}{b^4}+\frac{B x}{b^3}","-\frac{a^2 (A b-a B)}{2 b^4 (a+b x)^2}+\frac{a (2 A b-3 a B)}{b^4 (a+b x)}+\frac{(A b-3 a B) \log (a+b x)}{b^4}+\frac{B x}{b^3}",1,"(B*x)/b^3 - (a^2*(A*b - a*B))/(2*b^4*(a + b*x)^2) + (a*(2*A*b - 3*a*B))/(b^4*(a + b*x)) + ((A*b - 3*a*B)*Log[a + b*x])/b^4","A",2,1,16,0.06250,1,"{77}"
196,1,55,0,0.0377139,"\int \frac{x (A+B x)}{(a+b x)^3} \, dx","Int[(x*(A + B*x))/(a + b*x)^3,x]","-\frac{A b-2 a B}{b^3 (a+b x)}+\frac{a (A b-a B)}{2 b^3 (a+b x)^2}+\frac{B \log (a+b x)}{b^3}","-\frac{A b-2 a B}{b^3 (a+b x)}+\frac{a (A b-a B)}{2 b^3 (a+b x)^2}+\frac{B \log (a+b x)}{b^3}",1,"(a*(A*b - a*B))/(2*b^3*(a + b*x)^2) - (A*b - 2*a*B)/(b^3*(a + b*x)) + (B*Log[a + b*x])/b^3","A",2,1,14,0.07143,1,"{77}"
197,1,28,0,0.0043241,"\int \frac{A+B x}{(a+b x)^3} \, dx","Int[(A + B*x)/(a + b*x)^3,x]","-\frac{(A+B x)^2}{2 (a+b x)^2 (A b-a B)}","-\frac{(A+B x)^2}{2 (a+b x)^2 (A b-a B)}",1,"-(A + B*x)^2/(2*(A*b - a*B)*(a + b*x)^2)","A",1,1,13,0.07692,1,"{37}"
198,1,57,0,0.0357317,"\int \frac{A+B x}{x (a+b x)^3} \, dx","Int[(A + B*x)/(x*(a + b*x)^3),x]","\frac{A}{a^2 (a+b x)}-\frac{A \log (a+b x)}{a^3}+\frac{A \log (x)}{a^3}+\frac{A b-a B}{2 a b (a+b x)^2}","\frac{A}{a^2 (a+b x)}-\frac{A \log (a+b x)}{a^3}+\frac{A \log (x)}{a^3}+\frac{A b-a B}{2 a b (a+b x)^2}",1,"(A*b - a*B)/(2*a*b*(a + b*x)^2) + A/(a^2*(a + b*x)) + (A*Log[x])/a^3 - (A*Log[a + b*x])/a^3","A",2,1,16,0.06250,1,"{77}"
199,1,88,0,0.0720933,"\int \frac{A+B x}{x^2 (a+b x)^3} \, dx","Int[(A + B*x)/(x^2*(a + b*x)^3),x]","-\frac{2 A b-a B}{a^3 (a+b x)}-\frac{A b-a B}{2 a^2 (a+b x)^2}-\frac{\log (x) (3 A b-a B)}{a^4}+\frac{(3 A b-a B) \log (a+b x)}{a^4}-\frac{A}{a^3 x}","-\frac{2 A b-a B}{a^3 (a+b x)}-\frac{A b-a B}{2 a^2 (a+b x)^2}-\frac{\log (x) (3 A b-a B)}{a^4}+\frac{(3 A b-a B) \log (a+b x)}{a^4}-\frac{A}{a^3 x}",1,"-(A/(a^3*x)) - (A*b - a*B)/(2*a^2*(a + b*x)^2) - (2*A*b - a*B)/(a^3*(a + b*x)) - ((3*A*b - a*B)*Log[x])/a^4 + ((3*A*b - a*B)*Log[a + b*x])/a^4","A",2,1,16,0.06250,1,"{77}"
200,1,110,0,0.0889311,"\int \frac{A+B x}{x^3 (a+b x)^3} \, dx","Int[(A + B*x)/(x^3*(a + b*x)^3),x]","\frac{3 A b-a B}{a^4 x}+\frac{b (3 A b-2 a B)}{a^4 (a+b x)}+\frac{b (A b-a B)}{2 a^3 (a+b x)^2}+\frac{3 b \log (x) (2 A b-a B)}{a^5}-\frac{3 b (2 A b-a B) \log (a+b x)}{a^5}-\frac{A}{2 a^3 x^2}","\frac{3 A b-a B}{a^4 x}+\frac{b (3 A b-2 a B)}{a^4 (a+b x)}+\frac{b (A b-a B)}{2 a^3 (a+b x)^2}+\frac{3 b \log (x) (2 A b-a B)}{a^5}-\frac{3 b (2 A b-a B) \log (a+b x)}{a^5}-\frac{A}{2 a^3 x^2}",1,"-A/(2*a^3*x^2) + (3*A*b - a*B)/(a^4*x) + (b*(A*b - a*B))/(2*a^3*(a + b*x)^2) + (b*(3*A*b - 2*a*B))/(a^4*(a + b*x)) + (3*b*(2*A*b - a*B)*Log[x])/a^5 - (3*b*(2*A*b - a*B)*Log[a + b*x])/a^5","A",2,1,16,0.06250,1,"{77}"
201,1,140,0,0.1224049,"\int \frac{A+B x}{x^4 (a+b x)^3} \, dx","Int[(A + B*x)/(x^4*(a + b*x)^3),x]","-\frac{b^2 (4 A b-3 a B)}{a^5 (a+b x)}-\frac{b^2 (A b-a B)}{2 a^4 (a+b x)^2}-\frac{2 b^2 \log (x) (5 A b-3 a B)}{a^6}+\frac{2 b^2 (5 A b-3 a B) \log (a+b x)}{a^6}+\frac{3 A b-a B}{2 a^4 x^2}-\frac{3 b (2 A b-a B)}{a^5 x}-\frac{A}{3 a^3 x^3}","-\frac{b^2 (4 A b-3 a B)}{a^5 (a+b x)}-\frac{b^2 (A b-a B)}{2 a^4 (a+b x)^2}-\frac{2 b^2 \log (x) (5 A b-3 a B)}{a^6}+\frac{2 b^2 (5 A b-3 a B) \log (a+b x)}{a^6}+\frac{3 A b-a B}{2 a^4 x^2}-\frac{3 b (2 A b-a B)}{a^5 x}-\frac{A}{3 a^3 x^3}",1,"-A/(3*a^3*x^3) + (3*A*b - a*B)/(2*a^4*x^2) - (3*b*(2*A*b - a*B))/(a^5*x) - (b^2*(A*b - a*B))/(2*a^4*(a + b*x)^2) - (b^2*(4*A*b - 3*a*B))/(a^5*(a + b*x)) - (2*b^2*(5*A*b - 3*a*B)*Log[x])/a^6 + (2*b^2*(5*A*b - 3*a*B)*Log[a + b*x])/a^6","A",2,1,16,0.06250,1,"{77}"
202,1,177,0,0.5772461,"\int x^3 (a+b x)^2 (c+d x)^{16} \, dx","Int[x^3*(a + b*x)^2*(c + d*x)^16,x]","\frac{(c+d x)^{20} \left(a^2 d^2-8 a b c d+10 b^2 c^2\right)}{20 d^6}-\frac{c (c+d x)^{19} \left(3 a^2 d^2-12 a b c d+10 b^2 c^2\right)}{19 d^6}+\frac{c^2 (c+d x)^{18} (5 b c-3 a d) (b c-a d)}{18 d^6}-\frac{c^3 (c+d x)^{17} (b c-a d)^2}{17 d^6}-\frac{b (c+d x)^{21} (5 b c-2 a d)}{21 d^6}+\frac{b^2 (c+d x)^{22}}{22 d^6}","\frac{(c+d x)^{20} \left(a^2 d^2-8 a b c d+10 b^2 c^2\right)}{20 d^6}-\frac{c (c+d x)^{19} \left(3 a^2 d^2-12 a b c d+10 b^2 c^2\right)}{19 d^6}+\frac{c^2 (c+d x)^{18} (5 b c-3 a d) (b c-a d)}{18 d^6}-\frac{c^3 (c+d x)^{17} (b c-a d)^2}{17 d^6}-\frac{b (c+d x)^{21} (5 b c-2 a d)}{21 d^6}+\frac{b^2 (c+d x)^{22}}{22 d^6}",1,"-(c^3*(b*c - a*d)^2*(c + d*x)^17)/(17*d^6) + (c^2*(5*b*c - 3*a*d)*(b*c - a*d)*(c + d*x)^18)/(18*d^6) - (c*(10*b^2*c^2 - 12*a*b*c*d + 3*a^2*d^2)*(c + d*x)^19)/(19*d^6) + ((10*b^2*c^2 - 8*a*b*c*d + a^2*d^2)*(c + d*x)^20)/(20*d^6) - (b*(5*b*c - 2*a*d)*(c + d*x)^21)/(21*d^6) + (b^2*(c + d*x)^22)/(22*d^6)","A",2,1,18,0.05556,1,"{88}"
203,1,137,0,0.3380506,"\int x^2 (a+b x)^2 (c+d x)^{16} \, dx","Int[x^2*(a + b*x)^2*(c + d*x)^16,x]","\frac{(c+d x)^{19} \left(a^2 d^2-6 a b c d+6 b^2 c^2\right)}{19 d^5}+\frac{c^2 (c+d x)^{17} (b c-a d)^2}{17 d^5}-\frac{b (c+d x)^{20} (2 b c-a d)}{10 d^5}-\frac{c (c+d x)^{18} (b c-a d) (2 b c-a d)}{9 d^5}+\frac{b^2 (c+d x)^{21}}{21 d^5}","\frac{(c+d x)^{19} \left(a^2 d^2-6 a b c d+6 b^2 c^2\right)}{19 d^5}+\frac{c^2 (c+d x)^{17} (b c-a d)^2}{17 d^5}-\frac{b (c+d x)^{20} (2 b c-a d)}{10 d^5}-\frac{c (c+d x)^{18} (b c-a d) (2 b c-a d)}{9 d^5}+\frac{b^2 (c+d x)^{21}}{21 d^5}",1,"(c^2*(b*c - a*d)^2*(c + d*x)^17)/(17*d^5) - (c*(b*c - a*d)*(2*b*c - a*d)*(c + d*x)^18)/(9*d^5) + ((6*b^2*c^2 - 6*a*b*c*d + a^2*d^2)*(c + d*x)^19)/(19*d^5) - (b*(2*b*c - a*d)*(c + d*x)^20)/(10*d^5) + (b^2*(c + d*x)^21)/(21*d^5)","A",2,1,18,0.05556,1,"{88}"
204,1,98,0,0.2347664,"\int x (a+b x)^2 (c+d x)^{16} \, dx","Int[x*(a + b*x)^2*(c + d*x)^16,x]","-\frac{b (c+d x)^{19} (3 b c-2 a d)}{19 d^4}+\frac{(c+d x)^{18} (b c-a d) (3 b c-a d)}{18 d^4}-\frac{c (c+d x)^{17} (b c-a d)^2}{17 d^4}+\frac{b^2 (c+d x)^{20}}{20 d^4}","-\frac{b (c+d x)^{19} (3 b c-2 a d)}{19 d^4}+\frac{(c+d x)^{18} (b c-a d) (3 b c-a d)}{18 d^4}-\frac{c (c+d x)^{17} (b c-a d)^2}{17 d^4}+\frac{b^2 (c+d x)^{20}}{20 d^4}",1,"-(c*(b*c - a*d)^2*(c + d*x)^17)/(17*d^4) + ((b*c - a*d)*(3*b*c - a*d)*(c + d*x)^18)/(18*d^4) - (b*(3*b*c - 2*a*d)*(c + d*x)^19)/(19*d^4) + (b^2*(c + d*x)^20)/(20*d^4)","A",2,1,16,0.06250,1,"{77}"
205,1,87,0,0.0757904,"\int \frac{x^3 (c+d x)}{a+b x} \, dx","Int[(x^3*(c + d*x))/(a + b*x),x]","\frac{a^2 x (b c-a d)}{b^4}-\frac{a^3 (b c-a d) \log (a+b x)}{b^5}+\frac{x^3 (b c-a d)}{3 b^2}-\frac{a x^2 (b c-a d)}{2 b^3}+\frac{d x^4}{4 b}","\frac{a^2 x (b c-a d)}{b^4}-\frac{a^3 (b c-a d) \log (a+b x)}{b^5}+\frac{x^3 (b c-a d)}{3 b^2}-\frac{a x^2 (b c-a d)}{2 b^3}+\frac{d x^4}{4 b}",1,"(a^2*(b*c - a*d)*x)/b^4 - (a*(b*c - a*d)*x^2)/(2*b^3) + ((b*c - a*d)*x^3)/(3*b^2) + (d*x^4)/(4*b) - (a^3*(b*c - a*d)*Log[a + b*x])/b^5","A",2,1,16,0.06250,1,"{77}"
206,1,66,0,0.0498759,"\int \frac{x^2 (c+d x)}{a+b x} \, dx","Int[(x^2*(c + d*x))/(a + b*x),x]","\frac{a^2 (b c-a d) \log (a+b x)}{b^4}+\frac{x^2 (b c-a d)}{2 b^2}-\frac{a x (b c-a d)}{b^3}+\frac{d x^3}{3 b}","\frac{a^2 (b c-a d) \log (a+b x)}{b^4}+\frac{x^2 (b c-a d)}{2 b^2}-\frac{a x (b c-a d)}{b^3}+\frac{d x^3}{3 b}",1,"-((a*(b*c - a*d)*x)/b^3) + ((b*c - a*d)*x^2)/(2*b^2) + (d*x^3)/(3*b) + (a^2*(b*c - a*d)*Log[a + b*x])/b^4","A",2,1,16,0.06250,1,"{77}"
207,1,45,0,0.0323585,"\int \frac{x (c+d x)}{a+b x} \, dx","Int[(x*(c + d*x))/(a + b*x),x]","\frac{x (b c-a d)}{b^2}-\frac{a (b c-a d) \log (a+b x)}{b^3}+\frac{d x^2}{2 b}","\frac{x (b c-a d)}{b^2}-\frac{a (b c-a d) \log (a+b x)}{b^3}+\frac{d x^2}{2 b}",1,"((b*c - a*d)*x)/b^2 + (d*x^2)/(2*b) - (a*(b*c - a*d)*Log[a + b*x])/b^3","A",2,1,14,0.07143,1,"{77}"
208,1,25,0,0.01925,"\int \frac{c+d x}{a+b x} \, dx","Int[(c + d*x)/(a + b*x),x]","\frac{(b c-a d) \log (a+b x)}{b^2}+\frac{d x}{b}","\frac{(b c-a d) \log (a+b x)}{b^2}+\frac{d x}{b}",1,"(d*x)/b + ((b*c - a*d)*Log[a + b*x])/b^2","A",2,1,13,0.07692,1,"{43}"
209,1,30,0,0.0182764,"\int \frac{c+d x}{x (a+b x)} \, dx","Int[(c + d*x)/(x*(a + b*x)),x]","\frac{c \log (x)}{a}-\frac{(b c-a d) \log (a+b x)}{a b}","\frac{c \log (x)}{a}-\frac{(b c-a d) \log (a+b x)}{a b}",1,"(c*Log[x])/a - ((b*c - a*d)*Log[a + b*x])/(a*b)","A",2,1,16,0.06250,1,"{72}"
210,1,43,0,0.0290796,"\int \frac{c+d x}{x^2 (a+b x)} \, dx","Int[(c + d*x)/(x^2*(a + b*x)),x]","-\frac{\log (x) (b c-a d)}{a^2}+\frac{(b c-a d) \log (a+b x)}{a^2}-\frac{c}{a x}","-\frac{\log (x) (b c-a d)}{a^2}+\frac{(b c-a d) \log (a+b x)}{a^2}-\frac{c}{a x}",1,"-(c/(a*x)) - ((b*c - a*d)*Log[x])/a^2 + ((b*c - a*d)*Log[a + b*x])/a^2","A",2,1,16,0.06250,1,"{77}"
211,1,62,0,0.039749,"\int \frac{c+d x}{x^3 (a+b x)} \, dx","Int[(c + d*x)/(x^3*(a + b*x)),x]","\frac{b c-a d}{a^2 x}+\frac{b \log (x) (b c-a d)}{a^3}-\frac{b (b c-a d) \log (a+b x)}{a^3}-\frac{c}{2 a x^2}","\frac{b c-a d}{a^2 x}+\frac{b \log (x) (b c-a d)}{a^3}-\frac{b (b c-a d) \log (a+b x)}{a^3}-\frac{c}{2 a x^2}",1,"-c/(2*a*x^2) + (b*c - a*d)/(a^2*x) + (b*(b*c - a*d)*Log[x])/a^3 - (b*(b*c - a*d)*Log[a + b*x])/a^3","A",2,1,16,0.06250,1,"{77}"
212,1,86,0,0.0538269,"\int \frac{c+d x}{x^4 (a+b x)} \, dx","Int[(c + d*x)/(x^4*(a + b*x)),x]","-\frac{b^2 \log (x) (b c-a d)}{a^4}+\frac{b^2 (b c-a d) \log (a+b x)}{a^4}+\frac{b c-a d}{2 a^2 x^2}-\frac{b (b c-a d)}{a^3 x}-\frac{c}{3 a x^3}","-\frac{b^2 \log (x) (b c-a d)}{a^4}+\frac{b^2 (b c-a d) \log (a+b x)}{a^4}+\frac{b c-a d}{2 a^2 x^2}-\frac{b (b c-a d)}{a^3 x}-\frac{c}{3 a x^3}",1,"-c/(3*a*x^3) + (b*c - a*d)/(2*a^2*x^2) - (b*(b*c - a*d))/(a^3*x) - (b^2*(b*c - a*d)*Log[x])/a^4 + (b^2*(b*c - a*d)*Log[a + b*x])/a^4","A",2,1,16,0.06250,1,"{77}"
213,1,117,0,0.114562,"\int \frac{x^3 (c+d x)^2}{a+b x} \, dx","Int[(x^3*(c + d*x)^2)/(a + b*x),x]","\frac{a^2 x (b c-a d)^2}{b^5}-\frac{a^3 (b c-a d)^2 \log (a+b x)}{b^6}+\frac{d x^4 (2 b c-a d)}{4 b^2}+\frac{x^3 (b c-a d)^2}{3 b^3}-\frac{a x^2 (b c-a d)^2}{2 b^4}+\frac{d^2 x^5}{5 b}","\frac{a^2 x (b c-a d)^2}{b^5}-\frac{a^3 (b c-a d)^2 \log (a+b x)}{b^6}+\frac{d x^4 (2 b c-a d)}{4 b^2}+\frac{x^3 (b c-a d)^2}{3 b^3}-\frac{a x^2 (b c-a d)^2}{2 b^4}+\frac{d^2 x^5}{5 b}",1,"(a^2*(b*c - a*d)^2*x)/b^5 - (a*(b*c - a*d)^2*x^2)/(2*b^4) + ((b*c - a*d)^2*x^3)/(3*b^3) + (d*(2*b*c - a*d)*x^4)/(4*b^2) + (d^2*x^5)/(5*b) - (a^3*(b*c - a*d)^2*Log[a + b*x])/b^6","A",2,1,18,0.05556,1,"{88}"
214,1,94,0,0.0732267,"\int \frac{x^2 (c+d x)^2}{a+b x} \, dx","Int[(x^2*(c + d*x)^2)/(a + b*x),x]","\frac{a^2 (b c-a d)^2 \log (a+b x)}{b^5}+\frac{d x^3 (2 b c-a d)}{3 b^2}+\frac{x^2 (b c-a d)^2}{2 b^3}-\frac{a x (b c-a d)^2}{b^4}+\frac{d^2 x^4}{4 b}","\frac{a^2 (b c-a d)^2 \log (a+b x)}{b^5}+\frac{d x^3 (2 b c-a d)}{3 b^2}+\frac{x^2 (b c-a d)^2}{2 b^3}-\frac{a x (b c-a d)^2}{b^4}+\frac{d^2 x^4}{4 b}",1,"-((a*(b*c - a*d)^2*x)/b^4) + ((b*c - a*d)^2*x^2)/(2*b^3) + (d*(2*b*c - a*d)*x^3)/(3*b^2) + (d^2*x^4)/(4*b) + (a^2*(b*c - a*d)^2*Log[a + b*x])/b^5","A",2,1,18,0.05556,1,"{88}"
215,1,71,0,0.0530015,"\int \frac{x (c+d x)^2}{a+b x} \, dx","Int[(x*(c + d*x)^2)/(a + b*x),x]","\frac{d x^2 (2 b c-a d)}{2 b^2}+\frac{x (b c-a d)^2}{b^3}-\frac{a (b c-a d)^2 \log (a+b x)}{b^4}+\frac{d^2 x^3}{3 b}","\frac{d x^2 (2 b c-a d)}{2 b^2}+\frac{x (b c-a d)^2}{b^3}-\frac{a (b c-a d)^2 \log (a+b x)}{b^4}+\frac{d^2 x^3}{3 b}",1,"((b*c - a*d)^2*x)/b^3 + (d*(2*b*c - a*d)*x^2)/(2*b^2) + (d^2*x^3)/(3*b) - (a*(b*c - a*d)^2*Log[a + b*x])/b^4","A",2,1,16,0.06250,1,"{77}"
216,1,49,0,0.0207655,"\int \frac{(c+d x)^2}{a+b x} \, dx","Int[(c + d*x)^2/(a + b*x),x]","\frac{d x (b c-a d)}{b^2}+\frac{(b c-a d)^2 \log (a+b x)}{b^3}+\frac{(c+d x)^2}{2 b}","\frac{d x (b c-a d)}{b^2}+\frac{(b c-a d)^2 \log (a+b x)}{b^3}+\frac{(c+d x)^2}{2 b}",1,"(d*(b*c - a*d)*x)/b^2 + (c + d*x)^2/(2*b) + ((b*c - a*d)^2*Log[a + b*x])/b^3","A",2,1,15,0.06667,1,"{43}"
217,1,42,0,0.0312313,"\int \frac{(c+d x)^2}{x (a+b x)} \, dx","Int[(c + d*x)^2/(x*(a + b*x)),x]","-\frac{(b c-a d)^2 \log (a+b x)}{a b^2}+\frac{c^2 \log (x)}{a}+\frac{d^2 x}{b}","-\frac{(b c-a d)^2 \log (a+b x)}{a b^2}+\frac{c^2 \log (x)}{a}+\frac{d^2 x}{b}",1,"(d^2*x)/b + (c^2*Log[x])/a - ((b*c - a*d)^2*Log[a + b*x])/(a*b^2)","A",2,1,18,0.05556,1,"{72}"
218,1,51,0,0.0389579,"\int \frac{(c+d x)^2}{x^2 (a+b x)} \, dx","Int[(c + d*x)^2/(x^2*(a + b*x)),x]","-\frac{c \log (x) (b c-2 a d)}{a^2}+\frac{(b c-a d)^2 \log (a+b x)}{a^2 b}-\frac{c^2}{a x}","-\frac{c \log (x) (b c-2 a d)}{a^2}+\frac{(b c-a d)^2 \log (a+b x)}{a^2 b}-\frac{c^2}{a x}",1,"-(c^2/(a*x)) - (c*(b*c - 2*a*d)*Log[x])/a^2 + ((b*c - a*d)^2*Log[a + b*x])/(a^2*b)","A",2,1,18,0.05556,1,"{88}"
219,1,67,0,0.0505042,"\int \frac{(c+d x)^2}{x^3 (a+b x)} \, dx","Int[(c + d*x)^2/(x^3*(a + b*x)),x]","\frac{c (b c-2 a d)}{a^2 x}+\frac{\log (x) (b c-a d)^2}{a^3}-\frac{(b c-a d)^2 \log (a+b x)}{a^3}-\frac{c^2}{2 a x^2}","\frac{c (b c-2 a d)}{a^2 x}+\frac{\log (x) (b c-a d)^2}{a^3}-\frac{(b c-a d)^2 \log (a+b x)}{a^3}-\frac{c^2}{2 a x^2}",1,"-c^2/(2*a*x^2) + (c*(b*c - 2*a*d))/(a^2*x) + ((b*c - a*d)^2*Log[x])/a^3 - ((b*c - a*d)^2*Log[a + b*x])/a^3","A",2,1,18,0.05556,1,"{88}"
220,1,90,0,0.0588979,"\int \frac{(c+d x)^2}{x^4 (a+b x)} \, dx","Int[(c + d*x)^2/(x^4*(a + b*x)),x]","\frac{c (b c-2 a d)}{2 a^2 x^2}-\frac{(b c-a d)^2}{a^3 x}-\frac{b \log (x) (b c-a d)^2}{a^4}+\frac{b (b c-a d)^2 \log (a+b x)}{a^4}-\frac{c^2}{3 a x^3}","\frac{c (b c-2 a d)}{2 a^2 x^2}-\frac{(b c-a d)^2}{a^3 x}-\frac{b \log (x) (b c-a d)^2}{a^4}+\frac{b (b c-a d)^2 \log (a+b x)}{a^4}-\frac{c^2}{3 a x^3}",1,"-c^2/(3*a*x^3) + (c*(b*c - 2*a*d))/(2*a^2*x^2) - (b*c - a*d)^2/(a^3*x) - (b*(b*c - a*d)^2*Log[x])/a^4 + (b*(b*c - a*d)^2*Log[a + b*x])/a^4","A",2,1,18,0.05556,1,"{88}"
221,1,114,0,0.0764039,"\int \frac{(c+d x)^2}{x^5 (a+b x)} \, dx","Int[(c + d*x)^2/(x^5*(a + b*x)),x]","\frac{b^2 \log (x) (b c-a d)^2}{a^5}-\frac{b^2 (b c-a d)^2 \log (a+b x)}{a^5}+\frac{c (b c-2 a d)}{3 a^2 x^3}-\frac{(b c-a d)^2}{2 a^3 x^2}+\frac{b (b c-a d)^2}{a^4 x}-\frac{c^2}{4 a x^4}","\frac{b^2 \log (x) (b c-a d)^2}{a^5}-\frac{b^2 (b c-a d)^2 \log (a+b x)}{a^5}+\frac{c (b c-2 a d)}{3 a^2 x^3}-\frac{(b c-a d)^2}{2 a^3 x^2}+\frac{b (b c-a d)^2}{a^4 x}-\frac{c^2}{4 a x^4}",1,"-c^2/(4*a*x^4) + (c*(b*c - 2*a*d))/(3*a^2*x^3) - (b*c - a*d)^2/(2*a^3*x^2) + (b*(b*c - a*d)^2)/(a^4*x) + (b^2*(b*c - a*d)^2*Log[x])/a^5 - (b^2*(b*c - a*d)^2*Log[a + b*x])/a^5","A",2,1,18,0.05556,1,"{88}"
222,1,152,0,0.1572116,"\int \frac{x^3 (c+d x)^3}{a+b x} \, dx","Int[(x^3*(c + d*x)^3)/(a + b*x),x]","\frac{d x^4 \left(a^2 d^2-3 a b c d+3 b^2 c^2\right)}{4 b^3}+\frac{a^2 x (b c-a d)^3}{b^6}-\frac{a^3 (b c-a d)^3 \log (a+b x)}{b^7}+\frac{d^2 x^5 (3 b c-a d)}{5 b^2}+\frac{x^3 (b c-a d)^3}{3 b^4}-\frac{a x^2 (b c-a d)^3}{2 b^5}+\frac{d^3 x^6}{6 b}","\frac{d x^4 \left(a^2 d^2-3 a b c d+3 b^2 c^2\right)}{4 b^3}+\frac{a^2 x (b c-a d)^3}{b^6}-\frac{a^3 (b c-a d)^3 \log (a+b x)}{b^7}+\frac{d^2 x^5 (3 b c-a d)}{5 b^2}+\frac{x^3 (b c-a d)^3}{3 b^4}-\frac{a x^2 (b c-a d)^3}{2 b^5}+\frac{d^3 x^6}{6 b}",1,"(a^2*(b*c - a*d)^3*x)/b^6 - (a*(b*c - a*d)^3*x^2)/(2*b^5) + ((b*c - a*d)^3*x^3)/(3*b^4) + (d*(3*b^2*c^2 - 3*a*b*c*d + a^2*d^2)*x^4)/(4*b^3) + (d^2*(3*b*c - a*d)*x^5)/(5*b^2) + (d^3*x^6)/(6*b) - (a^3*(b*c - a*d)^3*Log[a + b*x])/b^7","A",2,1,18,0.05556,1,"{88}"
223,1,129,0,0.0975798,"\int \frac{x^2 (c+d x)^3}{a+b x} \, dx","Int[(x^2*(c + d*x)^3)/(a + b*x),x]","\frac{d x^3 \left(a^2 d^2-3 a b c d+3 b^2 c^2\right)}{3 b^3}+\frac{a^2 (b c-a d)^3 \log (a+b x)}{b^6}+\frac{d^2 x^4 (3 b c-a d)}{4 b^2}+\frac{x^2 (b c-a d)^3}{2 b^4}-\frac{a x (b c-a d)^3}{b^5}+\frac{d^3 x^5}{5 b}","\frac{d x^3 \left(a^2 d^2-3 a b c d+3 b^2 c^2\right)}{3 b^3}+\frac{a^2 (b c-a d)^3 \log (a+b x)}{b^6}+\frac{d^2 x^4 (3 b c-a d)}{4 b^2}+\frac{x^2 (b c-a d)^3}{2 b^4}-\frac{a x (b c-a d)^3}{b^5}+\frac{d^3 x^5}{5 b}",1,"-((a*(b*c - a*d)^3*x)/b^5) + ((b*c - a*d)^3*x^2)/(2*b^4) + (d*(3*b^2*c^2 - 3*a*b*c*d + a^2*d^2)*x^3)/(3*b^3) + (d^2*(3*b*c - a*d)*x^4)/(4*b^2) + (d^3*x^5)/(5*b) + (a^2*(b*c - a*d)^3*Log[a + b*x])/b^6","A",2,1,18,0.05556,1,"{88}"
224,1,106,0,0.0756914,"\int \frac{x (c+d x)^3}{a+b x} \, dx","Int[(x*(c + d*x)^3)/(a + b*x),x]","\frac{d x^2 \left(a^2 d^2-3 a b c d+3 b^2 c^2\right)}{2 b^3}+\frac{d^2 x^3 (3 b c-a d)}{3 b^2}+\frac{x (b c-a d)^3}{b^4}-\frac{a (b c-a d)^3 \log (a+b x)}{b^5}+\frac{d^3 x^4}{4 b}","\frac{d x^2 \left(a^2 d^2-3 a b c d+3 b^2 c^2\right)}{2 b^3}+\frac{d^2 x^3 (3 b c-a d)}{3 b^2}+\frac{x (b c-a d)^3}{b^4}-\frac{a (b c-a d)^3 \log (a+b x)}{b^5}+\frac{d^3 x^4}{4 b}",1,"((b*c - a*d)^3*x)/b^4 + (d*(3*b^2*c^2 - 3*a*b*c*d + a^2*d^2)*x^2)/(2*b^3) + (d^2*(3*b*c - a*d)*x^3)/(3*b^2) + (d^3*x^4)/(4*b) - (a*(b*c - a*d)^3*Log[a + b*x])/b^5","A",2,1,16,0.06250,1,"{77}"
225,1,73,0,0.0303147,"\int \frac{(c+d x)^3}{a+b x} \, dx","Int[(c + d*x)^3/(a + b*x),x]","\frac{d x (b c-a d)^2}{b^3}+\frac{(c+d x)^2 (b c-a d)}{2 b^2}+\frac{(b c-a d)^3 \log (a+b x)}{b^4}+\frac{(c+d x)^3}{3 b}","\frac{d x (b c-a d)^2}{b^3}+\frac{(c+d x)^2 (b c-a d)}{2 b^2}+\frac{(b c-a d)^3 \log (a+b x)}{b^4}+\frac{(c+d x)^3}{3 b}",1,"(d*(b*c - a*d)^2*x)/b^3 + ((b*c - a*d)*(c + d*x)^2)/(2*b^2) + (c + d*x)^3/(3*b) + ((b*c - a*d)^3*Log[a + b*x])/b^4","A",2,1,15,0.06667,1,"{43}"
226,1,64,0,0.0458137,"\int \frac{(c+d x)^3}{x (a+b x)} \, dx","Int[(c + d*x)^3/(x*(a + b*x)),x]","\frac{d^2 x (3 b c-a d)}{b^2}-\frac{(b c-a d)^3 \log (a+b x)}{a b^3}+\frac{c^3 \log (x)}{a}+\frac{d^3 x^2}{2 b}","\frac{d^2 x (3 b c-a d)}{b^2}-\frac{(b c-a d)^3 \log (a+b x)}{a b^3}+\frac{c^3 \log (x)}{a}+\frac{d^3 x^2}{2 b}",1,"(d^2*(3*b*c - a*d)*x)/b^2 + (d^3*x^2)/(2*b) + (c^3*Log[x])/a - ((b*c - a*d)^3*Log[a + b*x])/(a*b^3)","A",2,1,18,0.05556,1,"{72}"
227,1,61,0,0.0490497,"\int \frac{(c+d x)^3}{x^2 (a+b x)} \, dx","Int[(c + d*x)^3/(x^2*(a + b*x)),x]","\frac{(b c-a d)^3 \log (a+b x)}{a^2 b^2}-\frac{c^2 \log (x) (b c-3 a d)}{a^2}-\frac{c^3}{a x}+\frac{d^3 x}{b}","\frac{(b c-a d)^3 \log (a+b x)}{a^2 b^2}-\frac{c^2 \log (x) (b c-3 a d)}{a^2}-\frac{c^3}{a x}+\frac{d^3 x}{b}",1,"-(c^3/(a*x)) + (d^3*x)/b - (c^2*(b*c - 3*a*d)*Log[x])/a^2 + ((b*c - a*d)^3*Log[a + b*x])/(a^2*b^2)","A",2,1,18,0.05556,1,"{88}"
228,1,85,0,0.0541983,"\int \frac{(c+d x)^3}{x^3 (a+b x)} \, dx","Int[(c + d*x)^3/(x^3*(a + b*x)),x]","\frac{c \log (x) \left(3 a^2 d^2-3 a b c d+b^2 c^2\right)}{a^3}+\frac{c^2 (b c-3 a d)}{a^2 x}-\frac{(b c-a d)^3 \log (a+b x)}{a^3 b}-\frac{c^3}{2 a x^2}","\frac{c \log (x) \left(3 a^2 d^2-3 a b c d+b^2 c^2\right)}{a^3}+\frac{c^2 (b c-3 a d)}{a^2 x}-\frac{(b c-a d)^3 \log (a+b x)}{a^3 b}-\frac{c^3}{2 a x^2}",1,"-c^3/(2*a*x^2) + (c^2*(b*c - 3*a*d))/(a^2*x) + (c*(b^2*c^2 - 3*a*b*c*d + 3*a^2*d^2)*Log[x])/a^3 - ((b*c - a*d)^3*Log[a + b*x])/(a^3*b)","A",2,1,18,0.05556,1,"{88}"
229,1,103,0,0.0654395,"\int \frac{(c+d x)^3}{x^4 (a+b x)} \, dx","Int[(c + d*x)^3/(x^4*(a + b*x)),x]","-\frac{c \left(3 a^2 d^2-3 a b c d+b^2 c^2\right)}{a^3 x}+\frac{c^2 (b c-3 a d)}{2 a^2 x^2}-\frac{\log (x) (b c-a d)^3}{a^4}+\frac{(b c-a d)^3 \log (a+b x)}{a^4}-\frac{c^3}{3 a x^3}","-\frac{c \left(3 a^2 d^2-3 a b c d+b^2 c^2\right)}{a^3 x}+\frac{c^2 (b c-3 a d)}{2 a^2 x^2}-\frac{\log (x) (b c-a d)^3}{a^4}+\frac{(b c-a d)^3 \log (a+b x)}{a^4}-\frac{c^3}{3 a x^3}",1,"-c^3/(3*a*x^3) + (c^2*(b*c - 3*a*d))/(2*a^2*x^2) - (c*(b^2*c^2 - 3*a*b*c*d + 3*a^2*d^2))/(a^3*x) - ((b*c - a*d)^3*Log[x])/a^4 + ((b*c - a*d)^3*Log[a + b*x])/a^4","A",2,1,18,0.05556,1,"{88}"
230,1,124,0,0.073961,"\int \frac{(c+d x)^3}{x^5 (a+b x)} \, dx","Int[(c + d*x)^3/(x^5*(a + b*x)),x]","-\frac{c \left(3 a^2 d^2-3 a b c d+b^2 c^2\right)}{2 a^3 x^2}+\frac{c^2 (b c-3 a d)}{3 a^2 x^3}+\frac{(b c-a d)^3}{a^4 x}+\frac{b \log (x) (b c-a d)^3}{a^5}-\frac{b (b c-a d)^3 \log (a+b x)}{a^5}-\frac{c^3}{4 a x^4}","-\frac{c \left(3 a^2 d^2-3 a b c d+b^2 c^2\right)}{2 a^3 x^2}+\frac{c^2 (b c-3 a d)}{3 a^2 x^3}+\frac{(b c-a d)^3}{a^4 x}+\frac{b \log (x) (b c-a d)^3}{a^5}-\frac{b (b c-a d)^3 \log (a+b x)}{a^5}-\frac{c^3}{4 a x^4}",1,"-c^3/(4*a*x^4) + (c^2*(b*c - 3*a*d))/(3*a^2*x^3) - (c*(b^2*c^2 - 3*a*b*c*d + 3*a^2*d^2))/(2*a^3*x^2) + (b*c - a*d)^3/(a^4*x) + (b*(b*c - a*d)^3*Log[x])/a^5 - (b*(b*c - a*d)^3*Log[a + b*x])/a^5","A",2,1,18,0.05556,1,"{88}"
231,1,150,0,0.0897376,"\int \frac{(c+d x)^3}{x^6 (a+b x)} \, dx","Int[(c + d*x)^3/(x^6*(a + b*x)),x]","-\frac{c \left(3 a^2 d^2-3 a b c d+b^2 c^2\right)}{3 a^3 x^3}-\frac{b^2 \log (x) (b c-a d)^3}{a^6}+\frac{b^2 (b c-a d)^3 \log (a+b x)}{a^6}+\frac{c^2 (b c-3 a d)}{4 a^2 x^4}+\frac{(b c-a d)^3}{2 a^4 x^2}-\frac{b (b c-a d)^3}{a^5 x}-\frac{c^3}{5 a x^5}","-\frac{c \left(3 a^2 d^2-3 a b c d+b^2 c^2\right)}{3 a^3 x^3}-\frac{b^2 \log (x) (b c-a d)^3}{a^6}+\frac{b^2 (b c-a d)^3 \log (a+b x)}{a^6}+\frac{c^2 (b c-3 a d)}{4 a^2 x^4}+\frac{(b c-a d)^3}{2 a^4 x^2}-\frac{b (b c-a d)^3}{a^5 x}-\frac{c^3}{5 a x^5}",1,"-c^3/(5*a*x^5) + (c^2*(b*c - 3*a*d))/(4*a^2*x^4) - (c*(b^2*c^2 - 3*a*b*c*d + 3*a^2*d^2))/(3*a^3*x^3) + (b*c - a*d)^3/(2*a^4*x^2) - (b*(b*c - a*d)^3)/(a^5*x) - (b^2*(b*c - a*d)^3*Log[x])/a^6 + (b^2*(b*c - a*d)^3*Log[a + b*x])/a^6","A",2,1,18,0.05556,1,"{88}"
232,1,145,0,0.1449917,"\int \frac{x^5}{(a+b x) (c+d x)} \, dx","Int[x^5/((a + b*x)*(c + d*x)),x]","\frac{x^2 \left(a^2 d^2+a b c d+b^2 c^2\right)}{2 b^3 d^3}-\frac{x (a d+b c) \left(a^2 d^2+b^2 c^2\right)}{b^4 d^4}-\frac{a^5 \log (a+b x)}{b^5 (b c-a d)}-\frac{x^3 (a d+b c)}{3 b^2 d^2}+\frac{c^5 \log (c+d x)}{d^5 (b c-a d)}+\frac{x^4}{4 b d}","\frac{x^2 \left(a^2 d^2+a b c d+b^2 c^2\right)}{2 b^3 d^3}-\frac{x (a d+b c) \left(a^2 d^2+b^2 c^2\right)}{b^4 d^4}-\frac{a^5 \log (a+b x)}{b^5 (b c-a d)}-\frac{x^3 (a d+b c)}{3 b^2 d^2}+\frac{c^5 \log (c+d x)}{d^5 (b c-a d)}+\frac{x^4}{4 b d}",1,"-(((b*c + a*d)*(b^2*c^2 + a^2*d^2)*x)/(b^4*d^4)) + ((b^2*c^2 + a*b*c*d + a^2*d^2)*x^2)/(2*b^3*d^3) - ((b*c + a*d)*x^3)/(3*b^2*d^2) + x^4/(4*b*d) - (a^5*Log[a + b*x])/(b^5*(b*c - a*d)) + (c^5*Log[c + d*x])/(d^5*(b*c - a*d))","A",2,1,18,0.05556,1,"{72}"
233,1,109,0,0.0802101,"\int \frac{x^4}{(a+b x) (c+d x)} \, dx","Int[x^4/((a + b*x)*(c + d*x)),x]","\frac{x \left(a^2 d^2+a b c d+b^2 c^2\right)}{b^3 d^3}+\frac{a^4 \log (a+b x)}{b^4 (b c-a d)}-\frac{x^2 (a d+b c)}{2 b^2 d^2}-\frac{c^4 \log (c+d x)}{d^4 (b c-a d)}+\frac{x^3}{3 b d}","\frac{x \left(a^2 d^2+a b c d+b^2 c^2\right)}{b^3 d^3}+\frac{a^4 \log (a+b x)}{b^4 (b c-a d)}-\frac{x^2 (a d+b c)}{2 b^2 d^2}-\frac{c^4 \log (c+d x)}{d^4 (b c-a d)}+\frac{x^3}{3 b d}",1,"((b^2*c^2 + a*b*c*d + a^2*d^2)*x)/(b^3*d^3) - ((b*c + a*d)*x^2)/(2*b^2*d^2) + x^3/(3*b*d) + (a^4*Log[a + b*x])/(b^4*(b*c - a*d)) - (c^4*Log[c + d*x])/(d^4*(b*c - a*d))","A",2,1,18,0.05556,1,"{72}"
234,1,77,0,0.0562288,"\int \frac{x^3}{(a+b x) (c+d x)} \, dx","Int[x^3/((a + b*x)*(c + d*x)),x]","-\frac{a^3 \log (a+b x)}{b^3 (b c-a d)}-\frac{x (a d+b c)}{b^2 d^2}+\frac{c^3 \log (c+d x)}{d^3 (b c-a d)}+\frac{x^2}{2 b d}","-\frac{a^3 \log (a+b x)}{b^3 (b c-a d)}-\frac{x (a d+b c)}{b^2 d^2}+\frac{c^3 \log (c+d x)}{d^3 (b c-a d)}+\frac{x^2}{2 b d}",1,"-(((b*c + a*d)*x)/(b^2*d^2)) + x^2/(2*b*d) - (a^3*Log[a + b*x])/(b^3*(b*c - a*d)) + (c^3*Log[c + d*x])/(d^3*(b*c - a*d))","A",2,1,18,0.05556,1,"{72}"
235,1,56,0,0.0346782,"\int \frac{x^2}{(a+b x) (c+d x)} \, dx","Int[x^2/((a + b*x)*(c + d*x)),x]","\frac{a^2 \log (a+b x)}{b^2 (b c-a d)}-\frac{c^2 \log (c+d x)}{d^2 (b c-a d)}+\frac{x}{b d}","\frac{a^2 \log (a+b x)}{b^2 (b c-a d)}-\frac{c^2 \log (c+d x)}{d^2 (b c-a d)}+\frac{x}{b d}",1,"x/(b*d) + (a^2*Log[a + b*x])/(b^2*(b*c - a*d)) - (c^2*Log[c + d*x])/(d^2*(b*c - a*d))","A",2,1,18,0.05556,1,"{72}"
236,1,44,0,0.0230916,"\int \frac{x}{(a+b x) (c+d x)} \, dx","Int[x/((a + b*x)*(c + d*x)),x]","\frac{c \log (c+d x)}{d (b c-a d)}-\frac{a \log (a+b x)}{b (b c-a d)}","\frac{c \log (c+d x)}{d (b c-a d)}-\frac{a \log (a+b x)}{b (b c-a d)}",1,"-((a*Log[a + b*x])/(b*(b*c - a*d))) + (c*Log[c + d*x])/(d*(b*c - a*d))","A",2,1,16,0.06250,1,"{72}"
237,1,36,0,0.0077744,"\int \frac{1}{(a+b x) (c+d x)} \, dx","Int[1/((a + b*x)*(c + d*x)),x]","\frac{\log (a+b x)}{b c-a d}-\frac{\log (c+d x)}{b c-a d}","\frac{\log (a+b x)}{b c-a d}-\frac{\log (c+d x)}{b c-a d}",1,"Log[a + b*x]/(b*c - a*d) - Log[c + d*x]/(b*c - a*d)","A",3,2,15,0.1333,1,"{36, 31}"
238,1,53,0,0.034005,"\int \frac{1}{x (a+b x) (c+d x)} \, dx","Int[1/(x*(a + b*x)*(c + d*x)),x]","-\frac{b \log (a+b x)}{a (b c-a d)}+\frac{d \log (c+d x)}{c (b c-a d)}+\frac{\log (x)}{a c}","-\frac{b \log (a+b x)}{a (b c-a d)}+\frac{d \log (c+d x)}{c (b c-a d)}+\frac{\log (x)}{a c}",1,"Log[x]/(a*c) - (b*Log[a + b*x])/(a*(b*c - a*d)) + (d*Log[c + d*x])/(c*(b*c - a*d))","A",2,1,18,0.05556,1,"{72}"
239,1,76,0,0.054235,"\int \frac{1}{x^2 (a+b x) (c+d x)} \, dx","Int[1/(x^2*(a + b*x)*(c + d*x)),x]","\frac{b^2 \log (a+b x)}{a^2 (b c-a d)}-\frac{\log (x) (a d+b c)}{a^2 c^2}-\frac{d^2 \log (c+d x)}{c^2 (b c-a d)}-\frac{1}{a c x}","\frac{b^2 \log (a+b x)}{a^2 (b c-a d)}-\frac{\log (x) (a d+b c)}{a^2 c^2}-\frac{d^2 \log (c+d x)}{c^2 (b c-a d)}-\frac{1}{a c x}",1,"-(1/(a*c*x)) - ((b*c + a*d)*Log[x])/(a^2*c^2) + (b^2*Log[a + b*x])/(a^2*(b*c - a*d)) - (d^2*Log[c + d*x])/(c^2*(b*c - a*d))","A",2,1,18,0.05556,1,"{72}"
240,1,107,0,0.0801743,"\int \frac{1}{x^3 (a+b x) (c+d x)} \, dx","Int[1/(x^3*(a + b*x)*(c + d*x)),x]","\frac{\log (x) \left(a^2 d^2+a b c d+b^2 c^2\right)}{a^3 c^3}-\frac{b^3 \log (a+b x)}{a^3 (b c-a d)}+\frac{a d+b c}{a^2 c^2 x}+\frac{d^3 \log (c+d x)}{c^3 (b c-a d)}-\frac{1}{2 a c x^2}","\frac{\log (x) \left(a^2 d^2+a b c d+b^2 c^2\right)}{a^3 c^3}-\frac{b^3 \log (a+b x)}{a^3 (b c-a d)}+\frac{a d+b c}{a^2 c^2 x}+\frac{d^3 \log (c+d x)}{c^3 (b c-a d)}-\frac{1}{2 a c x^2}",1,"-1/(2*a*c*x^2) + (b*c + a*d)/(a^2*c^2*x) + ((b^2*c^2 + a*b*c*d + a^2*d^2)*Log[x])/(a^3*c^3) - (b^3*Log[a + b*x])/(a^3*(b*c - a*d)) + (d^3*Log[c + d*x])/(c^3*(b*c - a*d))","A",2,1,18,0.05556,1,"{72}"
241,1,144,0,0.11801,"\int \frac{1}{x^4 (a+b x) (c+d x)} \, dx","Int[1/(x^4*(a + b*x)*(c + d*x)),x]","-\frac{a^2 d^2+a b c d+b^2 c^2}{a^3 c^3 x}-\frac{\log (x) (a d+b c) \left(a^2 d^2+b^2 c^2\right)}{a^4 c^4}+\frac{b^4 \log (a+b x)}{a^4 (b c-a d)}+\frac{a d+b c}{2 a^2 c^2 x^2}-\frac{d^4 \log (c+d x)}{c^4 (b c-a d)}-\frac{1}{3 a c x^3}","-\frac{a^2 d^2+a b c d+b^2 c^2}{a^3 c^3 x}-\frac{\log (x) (a d+b c) \left(a^2 d^2+b^2 c^2\right)}{a^4 c^4}+\frac{b^4 \log (a+b x)}{a^4 (b c-a d)}+\frac{a d+b c}{2 a^2 c^2 x^2}-\frac{d^4 \log (c+d x)}{c^4 (b c-a d)}-\frac{1}{3 a c x^3}",1,"-1/(3*a*c*x^3) + (b*c + a*d)/(2*a^2*c^2*x^2) - (b^2*c^2 + a*b*c*d + a^2*d^2)/(a^3*c^3*x) - ((b*c + a*d)*(b^2*c^2 + a^2*d^2)*Log[x])/(a^4*c^4) + (b^4*Log[a + b*x])/(a^4*(b*c - a*d)) - (d^4*Log[c + d*x])/(c^4*(b*c - a*d))","A",2,1,18,0.05556,1,"{72}"
242,1,147,0,0.1629018,"\int \frac{x^5}{(a+b x) (c+d x)^2} \, dx","Int[x^5/((a + b*x)*(c + d*x)^2),x]","\frac{x \left(a^2 d^2+2 a b c d+3 b^2 c^2\right)}{b^3 d^4}-\frac{a^5 \log (a+b x)}{b^4 (b c-a d)^2}-\frac{x^2 (a d+2 b c)}{2 b^2 d^3}-\frac{c^5}{d^5 (c+d x) (b c-a d)}-\frac{c^4 (4 b c-5 a d) \log (c+d x)}{d^5 (b c-a d)^2}+\frac{x^3}{3 b d^2}","\frac{x \left(a^2 d^2+2 a b c d+3 b^2 c^2\right)}{b^3 d^4}-\frac{a^5 \log (a+b x)}{b^4 (b c-a d)^2}-\frac{x^2 (a d+2 b c)}{2 b^2 d^3}-\frac{c^5}{d^5 (c+d x) (b c-a d)}-\frac{c^4 (4 b c-5 a d) \log (c+d x)}{d^5 (b c-a d)^2}+\frac{x^3}{3 b d^2}",1,"((3*b^2*c^2 + 2*a*b*c*d + a^2*d^2)*x)/(b^3*d^4) - ((2*b*c + a*d)*x^2)/(2*b^2*d^3) + x^3/(3*b*d^2) - c^5/(d^5*(b*c - a*d)*(c + d*x)) - (a^5*Log[a + b*x])/(b^4*(b*c - a*d)^2) - (c^4*(4*b*c - 5*a*d)*Log[c + d*x])/(d^5*(b*c - a*d)^2)","A",2,1,18,0.05556,1,"{88}"
243,1,110,0,0.103468,"\int \frac{x^4}{(a+b x) (c+d x)^2} \, dx","Int[x^4/((a + b*x)*(c + d*x)^2),x]","\frac{a^4 \log (a+b x)}{b^3 (b c-a d)^2}-\frac{x (a d+2 b c)}{b^2 d^3}+\frac{c^4}{d^4 (c+d x) (b c-a d)}+\frac{c^3 (3 b c-4 a d) \log (c+d x)}{d^4 (b c-a d)^2}+\frac{x^2}{2 b d^2}","\frac{a^4 \log (a+b x)}{b^3 (b c-a d)^2}-\frac{x (a d+2 b c)}{b^2 d^3}+\frac{c^4}{d^4 (c+d x) (b c-a d)}+\frac{c^3 (3 b c-4 a d) \log (c+d x)}{d^4 (b c-a d)^2}+\frac{x^2}{2 b d^2}",1,"-(((2*b*c + a*d)*x)/(b^2*d^3)) + x^2/(2*b*d^2) + c^4/(d^4*(b*c - a*d)*(c + d*x)) + (a^4*Log[a + b*x])/(b^3*(b*c - a*d)^2) + (c^3*(3*b*c - 4*a*d)*Log[c + d*x])/(d^4*(b*c - a*d)^2)","A",2,1,18,0.05556,1,"{88}"
244,1,91,0,0.0762005,"\int \frac{x^3}{(a+b x) (c+d x)^2} \, dx","Int[x^3/((a + b*x)*(c + d*x)^2),x]","-\frac{a^3 \log (a+b x)}{b^2 (b c-a d)^2}-\frac{c^3}{d^3 (c+d x) (b c-a d)}-\frac{c^2 (2 b c-3 a d) \log (c+d x)}{d^3 (b c-a d)^2}+\frac{x}{b d^2}","-\frac{a^3 \log (a+b x)}{b^2 (b c-a d)^2}-\frac{c^3}{d^3 (c+d x) (b c-a d)}-\frac{c^2 (2 b c-3 a d) \log (c+d x)}{d^3 (b c-a d)^2}+\frac{x}{b d^2}",1,"x/(b*d^2) - c^3/(d^3*(b*c - a*d)*(c + d*x)) - (a^3*Log[a + b*x])/(b^2*(b*c - a*d)^2) - (c^2*(2*b*c - 3*a*d)*Log[c + d*x])/(d^3*(b*c - a*d)^2)","A",2,1,18,0.05556,1,"{88}"
245,1,77,0,0.0566586,"\int \frac{x^2}{(a+b x) (c+d x)^2} \, dx","Int[x^2/((a + b*x)*(c + d*x)^2),x]","\frac{a^2 \log (a+b x)}{b (b c-a d)^2}+\frac{c^2}{d^2 (c+d x) (b c-a d)}+\frac{c (b c-2 a d) \log (c+d x)}{d^2 (b c-a d)^2}","\frac{a^2 \log (a+b x)}{b (b c-a d)^2}+\frac{c^2}{d^2 (c+d x) (b c-a d)}+\frac{c (b c-2 a d) \log (c+d x)}{d^2 (b c-a d)^2}",1,"c^2/(d^2*(b*c - a*d)*(c + d*x)) + (a^2*Log[a + b*x])/(b*(b*c - a*d)^2) + (c*(b*c - 2*a*d)*Log[c + d*x])/(d^2*(b*c - a*d)^2)","A",2,1,18,0.05556,1,"{88}"
246,1,61,0,0.0355882,"\int \frac{x}{(a+b x) (c+d x)^2} \, dx","Int[x/((a + b*x)*(c + d*x)^2),x]","-\frac{c}{d (c+d x) (b c-a d)}-\frac{a \log (a+b x)}{(b c-a d)^2}+\frac{a \log (c+d x)}{(b c-a d)^2}","-\frac{c}{d (c+d x) (b c-a d)}-\frac{a \log (a+b x)}{(b c-a d)^2}+\frac{a \log (c+d x)}{(b c-a d)^2}",1,"-(c/(d*(b*c - a*d)*(c + d*x))) - (a*Log[a + b*x])/(b*c - a*d)^2 + (a*Log[c + d*x])/(b*c - a*d)^2","A",2,1,16,0.06250,1,"{77}"
247,1,56,0,0.0299969,"\int \frac{1}{(a+b x) (c+d x)^2} \, dx","Int[1/((a + b*x)*(c + d*x)^2),x]","\frac{1}{(c+d x) (b c-a d)}+\frac{b \log (a+b x)}{(b c-a d)^2}-\frac{b \log (c+d x)}{(b c-a d)^2}","\frac{1}{(c+d x) (b c-a d)}+\frac{b \log (a+b x)}{(b c-a d)^2}-\frac{b \log (c+d x)}{(b c-a d)^2}",1,"1/((b*c - a*d)*(c + d*x)) + (b*Log[a + b*x])/(b*c - a*d)^2 - (b*Log[c + d*x])/(b*c - a*d)^2","A",2,1,15,0.06667,1,"{44}"
248,1,87,0,0.0664154,"\int \frac{1}{x (a+b x) (c+d x)^2} \, dx","Int[1/(x*(a + b*x)*(c + d*x)^2),x]","-\frac{b^2 \log (a+b x)}{a (b c-a d)^2}+\frac{d (2 b c-a d) \log (c+d x)}{c^2 (b c-a d)^2}-\frac{d}{c (c+d x) (b c-a d)}+\frac{\log (x)}{a c^2}","-\frac{b^2 \log (a+b x)}{a (b c-a d)^2}+\frac{d (2 b c-a d) \log (c+d x)}{c^2 (b c-a d)^2}-\frac{d}{c (c+d x) (b c-a d)}+\frac{\log (x)}{a c^2}",1,"-(d/(c*(b*c - a*d)*(c + d*x))) + Log[x]/(a*c^2) - (b^2*Log[a + b*x])/(a*(b*c - a*d)^2) + (d*(2*b*c - a*d)*Log[c + d*x])/(c^2*(b*c - a*d)^2)","A",2,1,18,0.05556,1,"{72}"
249,1,110,0,0.1033446,"\int \frac{1}{x^2 (a+b x) (c+d x)^2} \, dx","Int[1/(x^2*(a + b*x)*(c + d*x)^2),x]","\frac{b^3 \log (a+b x)}{a^2 (b c-a d)^2}-\frac{\log (x) (2 a d+b c)}{a^2 c^3}+\frac{d^2}{c^2 (c+d x) (b c-a d)}-\frac{d^2 (3 b c-2 a d) \log (c+d x)}{c^3 (b c-a d)^2}-\frac{1}{a c^2 x}","\frac{b^3 \log (a+b x)}{a^2 (b c-a d)^2}-\frac{\log (x) (2 a d+b c)}{a^2 c^3}+\frac{d^2}{c^2 (c+d x) (b c-a d)}-\frac{d^2 (3 b c-2 a d) \log (c+d x)}{c^3 (b c-a d)^2}-\frac{1}{a c^2 x}",1,"-(1/(a*c^2*x)) + d^2/(c^2*(b*c - a*d)*(c + d*x)) - ((b*c + 2*a*d)*Log[x])/(a^2*c^3) + (b^3*Log[a + b*x])/(a^2*(b*c - a*d)^2) - (d^2*(3*b*c - 2*a*d)*Log[c + d*x])/(c^3*(b*c - a*d)^2)","A",2,1,18,0.05556,1,"{88}"
250,1,144,0,0.1414314,"\int \frac{1}{x^3 (a+b x) (c+d x)^2} \, dx","Int[1/(x^3*(a + b*x)*(c + d*x)^2),x]","\frac{\log (x) \left(3 a^2 d^2+2 a b c d+b^2 c^2\right)}{a^3 c^4}-\frac{b^4 \log (a+b x)}{a^3 (b c-a d)^2}+\frac{2 a d+b c}{a^2 c^3 x}-\frac{d^3}{c^3 (c+d x) (b c-a d)}+\frac{d^3 (4 b c-3 a d) \log (c+d x)}{c^4 (b c-a d)^2}-\frac{1}{2 a c^2 x^2}","\frac{\log (x) \left(3 a^2 d^2+2 a b c d+b^2 c^2\right)}{a^3 c^4}-\frac{b^4 \log (a+b x)}{a^3 (b c-a d)^2}+\frac{2 a d+b c}{a^2 c^3 x}-\frac{d^3}{c^3 (c+d x) (b c-a d)}+\frac{d^3 (4 b c-3 a d) \log (c+d x)}{c^4 (b c-a d)^2}-\frac{1}{2 a c^2 x^2}",1,"-1/(2*a*c^2*x^2) + (b*c + 2*a*d)/(a^2*c^3*x) - d^3/(c^3*(b*c - a*d)*(c + d*x)) + ((b^2*c^2 + 2*a*b*c*d + 3*a^2*d^2)*Log[x])/(a^3*c^4) - (b^4*Log[a + b*x])/(a^3*(b*c - a*d)^2) + (d^3*(4*b*c - 3*a*d)*Log[c + d*x])/(c^4*(b*c - a*d)^2)","A",2,1,18,0.05556,1,"{88}"
251,1,161,0,0.1872439,"\int \frac{x^5}{(a+b x) (c+d x)^3} \, dx","Int[x^5/((a + b*x)*(c + d*x)^3),x]","\frac{c^3 \left(10 a^2 d^2-15 a b c d+6 b^2 c^2\right) \log (c+d x)}{d^5 (b c-a d)^3}-\frac{a^5 \log (a+b x)}{b^3 (b c-a d)^3}-\frac{x (a d+3 b c)}{b^2 d^4}+\frac{c^4 (4 b c-5 a d)}{d^5 (c+d x) (b c-a d)^2}-\frac{c^5}{2 d^5 (c+d x)^2 (b c-a d)}+\frac{x^2}{2 b d^3}","\frac{c^3 \left(10 a^2 d^2-15 a b c d+6 b^2 c^2\right) \log (c+d x)}{d^5 (b c-a d)^3}-\frac{a^5 \log (a+b x)}{b^3 (b c-a d)^3}-\frac{x (a d+3 b c)}{b^2 d^4}+\frac{c^4 (4 b c-5 a d)}{d^5 (c+d x) (b c-a d)^2}-\frac{c^5}{2 d^5 (c+d x)^2 (b c-a d)}+\frac{x^2}{2 b d^3}",1,"-(((3*b*c + a*d)*x)/(b^2*d^4)) + x^2/(2*b*d^3) - c^5/(2*d^5*(b*c - a*d)*(c + d*x)^2) + (c^4*(4*b*c - 5*a*d))/(d^5*(b*c - a*d)^2*(c + d*x)) - (a^5*Log[a + b*x])/(b^3*(b*c - a*d)^3) + (c^3*(6*b^2*c^2 - 15*a*b*c*d + 10*a^2*d^2)*Log[c + d*x])/(d^5*(b*c - a*d)^3)","A",2,1,18,0.05556,1,"{88}"
252,1,140,0,0.1225685,"\int \frac{x^4}{(a+b x) (c+d x)^3} \, dx","Int[x^4/((a + b*x)*(c + d*x)^3),x]","-\frac{c^2 \left(6 a^2 d^2-8 a b c d+3 b^2 c^2\right) \log (c+d x)}{d^4 (b c-a d)^3}+\frac{a^4 \log (a+b x)}{b^2 (b c-a d)^3}-\frac{c^3 (3 b c-4 a d)}{d^4 (c+d x) (b c-a d)^2}+\frac{c^4}{2 d^4 (c+d x)^2 (b c-a d)}+\frac{x}{b d^3}","-\frac{c^2 \left(6 a^2 d^2-8 a b c d+3 b^2 c^2\right) \log (c+d x)}{d^4 (b c-a d)^3}+\frac{a^4 \log (a+b x)}{b^2 (b c-a d)^3}-\frac{c^3 (3 b c-4 a d)}{d^4 (c+d x) (b c-a d)^2}+\frac{c^4}{2 d^4 (c+d x)^2 (b c-a d)}+\frac{x}{b d^3}",1,"x/(b*d^3) + c^4/(2*d^4*(b*c - a*d)*(c + d*x)^2) - (c^3*(3*b*c - 4*a*d))/(d^4*(b*c - a*d)^2*(c + d*x)) + (a^4*Log[a + b*x])/(b^2*(b*c - a*d)^3) - (c^2*(3*b^2*c^2 - 8*a*b*c*d + 6*a^2*d^2)*Log[c + d*x])/(d^4*(b*c - a*d)^3)","A",2,1,18,0.05556,1,"{88}"
253,1,128,0,0.1068332,"\int \frac{x^3}{(a+b x) (c+d x)^3} \, dx","Int[x^3/((a + b*x)*(c + d*x)^3),x]","\frac{c \left(3 a^2 d^2-3 a b c d+b^2 c^2\right) \log (c+d x)}{d^3 (b c-a d)^3}-\frac{a^3 \log (a+b x)}{b (b c-a d)^3}+\frac{c^2 (2 b c-3 a d)}{d^3 (c+d x) (b c-a d)^2}-\frac{c^3}{2 d^3 (c+d x)^2 (b c-a d)}","\frac{c \left(3 a^2 d^2-3 a b c d+b^2 c^2\right) \log (c+d x)}{d^3 (b c-a d)^3}-\frac{a^3 \log (a+b x)}{b (b c-a d)^3}+\frac{c^2 (2 b c-3 a d)}{d^3 (c+d x) (b c-a d)^2}-\frac{c^3}{2 d^3 (c+d x)^2 (b c-a d)}",1,"-c^3/(2*d^3*(b*c - a*d)*(c + d*x)^2) + (c^2*(2*b*c - 3*a*d))/(d^3*(b*c - a*d)^2*(c + d*x)) - (a^3*Log[a + b*x])/(b*(b*c - a*d)^3) + (c*(b^2*c^2 - 3*a*b*c*d + 3*a^2*d^2)*Log[c + d*x])/(d^3*(b*c - a*d)^3)","A",2,1,18,0.05556,1,"{88}"
254,1,100,0,0.0806473,"\int \frac{x^2}{(a+b x) (c+d x)^3} \, dx","Int[x^2/((a + b*x)*(c + d*x)^3),x]","\frac{a^2 \log (a+b x)}{(b c-a d)^3}-\frac{a^2 \log (c+d x)}{(b c-a d)^3}+\frac{c^2}{2 d^2 (c+d x)^2 (b c-a d)}-\frac{c (b c-2 a d)}{d^2 (c+d x) (b c-a d)^2}","\frac{a^2 \log (a+b x)}{(b c-a d)^3}-\frac{a^2 \log (c+d x)}{(b c-a d)^3}+\frac{c^2}{2 d^2 (c+d x)^2 (b c-a d)}-\frac{c (b c-2 a d)}{d^2 (c+d x) (b c-a d)^2}",1,"c^2/(2*d^2*(b*c - a*d)*(c + d*x)^2) - (c*(b*c - 2*a*d))/(d^2*(b*c - a*d)^2*(c + d*x)) + (a^2*Log[a + b*x])/(b*c - a*d)^3 - (a^2*Log[c + d*x])/(b*c - a*d)^3","A",2,1,18,0.05556,1,"{88}"
255,1,85,0,0.0523724,"\int \frac{x}{(a+b x) (c+d x)^3} \, dx","Int[x/((a + b*x)*(c + d*x)^3),x]","-\frac{a}{(c+d x) (b c-a d)^2}-\frac{c}{2 d (c+d x)^2 (b c-a d)}-\frac{a b \log (a+b x)}{(b c-a d)^3}+\frac{a b \log (c+d x)}{(b c-a d)^3}","-\frac{a}{(c+d x) (b c-a d)^2}-\frac{c}{2 d (c+d x)^2 (b c-a d)}-\frac{a b \log (a+b x)}{(b c-a d)^3}+\frac{a b \log (c+d x)}{(b c-a d)^3}",1,"-c/(2*d*(b*c - a*d)*(c + d*x)^2) - a/((b*c - a*d)^2*(c + d*x)) - (a*b*Log[a + b*x])/(b*c - a*d)^3 + (a*b*Log[c + d*x])/(b*c - a*d)^3","A",2,1,16,0.06250,1,"{77}"
256,1,82,0,0.0402719,"\int \frac{1}{(a+b x) (c+d x)^3} \, dx","Int[1/((a + b*x)*(c + d*x)^3),x]","\frac{b^2 \log (a+b x)}{(b c-a d)^3}-\frac{b^2 \log (c+d x)}{(b c-a d)^3}+\frac{b}{(c+d x) (b c-a d)^2}+\frac{1}{2 (c+d x)^2 (b c-a d)}","\frac{b^2 \log (a+b x)}{(b c-a d)^3}-\frac{b^2 \log (c+d x)}{(b c-a d)^3}+\frac{b}{(c+d x) (b c-a d)^2}+\frac{1}{2 (c+d x)^2 (b c-a d)}",1,"1/(2*(b*c - a*d)*(c + d*x)^2) + b/((b*c - a*d)^2*(c + d*x)) + (b^2*Log[a + b*x])/(b*c - a*d)^3 - (b^2*Log[c + d*x])/(b*c - a*d)^3","A",2,1,15,0.06667,1,"{44}"
257,1,134,0,0.1066981,"\int \frac{1}{x (a+b x) (c+d x)^3} \, dx","Int[1/(x*(a + b*x)*(c + d*x)^3),x]","\frac{d \left(a^2 d^2-3 a b c d+3 b^2 c^2\right) \log (c+d x)}{c^3 (b c-a d)^3}-\frac{b^3 \log (a+b x)}{a (b c-a d)^3}-\frac{d (2 b c-a d)}{c^2 (c+d x) (b c-a d)^2}-\frac{d}{2 c (c+d x)^2 (b c-a d)}+\frac{\log (x)}{a c^3}","\frac{d \left(a^2 d^2-3 a b c d+3 b^2 c^2\right) \log (c+d x)}{c^3 (b c-a d)^3}-\frac{b^3 \log (a+b x)}{a (b c-a d)^3}-\frac{d (2 b c-a d)}{c^2 (c+d x) (b c-a d)^2}-\frac{d}{2 c (c+d x)^2 (b c-a d)}+\frac{\log (x)}{a c^3}",1,"-d/(2*c*(b*c - a*d)*(c + d*x)^2) - (d*(2*b*c - a*d))/(c^2*(b*c - a*d)^2*(c + d*x)) + Log[x]/(a*c^3) - (b^3*Log[a + b*x])/(a*(b*c - a*d)^3) + (d*(3*b^2*c^2 - 3*a*b*c*d + a^2*d^2)*Log[c + d*x])/(c^3*(b*c - a*d)^3)","A",2,1,18,0.05556,1,"{72}"
258,1,160,0,0.1593377,"\int \frac{1}{x^2 (a+b x) (c+d x)^3} \, dx","Int[1/(x^2*(a + b*x)*(c + d*x)^3),x]","-\frac{d^2 \left(3 a^2 d^2-8 a b c d+6 b^2 c^2\right) \log (c+d x)}{c^4 (b c-a d)^3}+\frac{b^4 \log (a+b x)}{a^2 (b c-a d)^3}-\frac{\log (x) (3 a d+b c)}{a^2 c^4}+\frac{d^2 (3 b c-2 a d)}{c^3 (c+d x) (b c-a d)^2}+\frac{d^2}{2 c^2 (c+d x)^2 (b c-a d)}-\frac{1}{a c^3 x}","-\frac{d^2 \left(3 a^2 d^2-8 a b c d+6 b^2 c^2\right) \log (c+d x)}{c^4 (b c-a d)^3}+\frac{b^4 \log (a+b x)}{a^2 (b c-a d)^3}-\frac{\log (x) (3 a d+b c)}{a^2 c^4}+\frac{d^2 (3 b c-2 a d)}{c^3 (c+d x) (b c-a d)^2}+\frac{d^2}{2 c^2 (c+d x)^2 (b c-a d)}-\frac{1}{a c^3 x}",1,"-(1/(a*c^3*x)) + d^2/(2*c^2*(b*c - a*d)*(c + d*x)^2) + (d^2*(3*b*c - 2*a*d))/(c^3*(b*c - a*d)^2*(c + d*x)) - ((b*c + 3*a*d)*Log[x])/(a^2*c^4) + (b^4*Log[a + b*x])/(a^2*(b*c - a*d)^3) - (d^2*(6*b^2*c^2 - 8*a*b*c*d + 3*a^2*d^2)*Log[c + d*x])/(c^4*(b*c - a*d)^3)","A",2,1,18,0.05556,1,"{88}"
259,1,165,0,0.2021827,"\int \frac{x^4 (c+d x)^2}{(a+b x)^2} \, dx","Int[(x^4*(c + d*x)^2)/(a + b*x)^2,x]","\frac{a^2 x (3 b c-5 a d) (b c-a d)}{b^6}-\frac{a^4 (b c-a d)^2}{b^7 (a+b x)}-\frac{2 a^3 (2 b c-3 a d) (b c-a d) \log (a+b x)}{b^7}+\frac{d x^4 (b c-a d)}{2 b^3}+\frac{x^3 (b c-3 a d) (b c-a d)}{3 b^4}-\frac{a x^2 (b c-2 a d) (b c-a d)}{b^5}+\frac{d^2 x^5}{5 b^2}","\frac{a^2 x (3 b c-5 a d) (b c-a d)}{b^6}-\frac{a^4 (b c-a d)^2}{b^7 (a+b x)}-\frac{2 a^3 (2 b c-3 a d) (b c-a d) \log (a+b x)}{b^7}+\frac{d x^4 (b c-a d)}{2 b^3}+\frac{x^3 (b c-3 a d) (b c-a d)}{3 b^4}-\frac{a x^2 (b c-2 a d) (b c-a d)}{b^5}+\frac{d^2 x^5}{5 b^2}",1,"(a^2*(3*b*c - 5*a*d)*(b*c - a*d)*x)/b^6 - (a*(b*c - 2*a*d)*(b*c - a*d)*x^2)/b^5 + ((b*c - 3*a*d)*(b*c - a*d)*x^3)/(3*b^4) + (d*(b*c - a*d)*x^4)/(2*b^3) + (d^2*x^5)/(5*b^2) - (a^4*(b*c - a*d)^2)/(b^7*(a + b*x)) - (2*a^3*(2*b*c - 3*a*d)*(b*c - a*d)*Log[a + b*x])/b^7","A",2,1,18,0.05556,1,"{88}"
260,1,136,0,0.1265909,"\int \frac{x^3 (c+d x)^2}{(a+b x)^2} \, dx","Int[(x^3*(c + d*x)^2)/(a + b*x)^2,x]","\frac{a^3 (b c-a d)^2}{b^6 (a+b x)}+\frac{a^2 (3 b c-5 a d) (b c-a d) \log (a+b x)}{b^6}+\frac{2 d x^3 (b c-a d)}{3 b^3}+\frac{x^2 (b c-3 a d) (b c-a d)}{2 b^4}-\frac{2 a x (b c-2 a d) (b c-a d)}{b^5}+\frac{d^2 x^4}{4 b^2}","\frac{a^3 (b c-a d)^2}{b^6 (a+b x)}+\frac{a^2 (3 b c-5 a d) (b c-a d) \log (a+b x)}{b^6}+\frac{2 d x^3 (b c-a d)}{3 b^3}+\frac{x^2 (b c-3 a d) (b c-a d)}{2 b^4}-\frac{2 a x (b c-2 a d) (b c-a d)}{b^5}+\frac{d^2 x^4}{4 b^2}",1,"(-2*a*(b*c - 2*a*d)*(b*c - a*d)*x)/b^5 + ((b*c - 3*a*d)*(b*c - a*d)*x^2)/(2*b^4) + (2*d*(b*c - a*d)*x^3)/(3*b^3) + (d^2*x^4)/(4*b^2) + (a^3*(b*c - a*d)^2)/(b^6*(a + b*x)) + (a^2*(3*b*c - 5*a*d)*(b*c - a*d)*Log[a + b*x])/b^6","A",2,1,18,0.05556,1,"{88}"
261,1,104,0,0.097313,"\int \frac{x^2 (c+d x)^2}{(a+b x)^2} \, dx","Int[(x^2*(c + d*x)^2)/(a + b*x)^2,x]","-\frac{a^2 (b c-a d)^2}{b^5 (a+b x)}+\frac{d x^2 (b c-a d)}{b^3}+\frac{x (b c-3 a d) (b c-a d)}{b^4}-\frac{2 a (b c-2 a d) (b c-a d) \log (a+b x)}{b^5}+\frac{d^2 x^3}{3 b^2}","-\frac{a^2 (b c-a d)^2}{b^5 (a+b x)}+\frac{d x^2 (b c-a d)}{b^3}+\frac{x (b c-3 a d) (b c-a d)}{b^4}-\frac{2 a (b c-2 a d) (b c-a d) \log (a+b x)}{b^5}+\frac{d^2 x^3}{3 b^2}",1,"((b*c - 3*a*d)*(b*c - a*d)*x)/b^4 + (d*(b*c - a*d)*x^2)/b^3 + (d^2*x^3)/(3*b^2) - (a^2*(b*c - a*d)^2)/(b^5*(a + b*x)) - (2*a*(b*c - 2*a*d)*(b*c - a*d)*Log[a + b*x])/b^5","A",2,1,18,0.05556,1,"{88}"
262,1,77,0,0.0651912,"\int \frac{x (c+d x)^2}{(a+b x)^2} \, dx","Int[(x*(c + d*x)^2)/(a + b*x)^2,x]","\frac{a (b c-a d)^2}{b^4 (a+b x)}+\frac{2 d x (b c-a d)}{b^3}+\frac{(b c-3 a d) (b c-a d) \log (a+b x)}{b^4}+\frac{d^2 x^2}{2 b^2}","\frac{a (b c-a d)^2}{b^4 (a+b x)}+\frac{2 d x (b c-a d)}{b^3}+\frac{(b c-3 a d) (b c-a d) \log (a+b x)}{b^4}+\frac{d^2 x^2}{2 b^2}",1,"(2*d*(b*c - a*d)*x)/b^3 + (d^2*x^2)/(2*b^2) + (a*(b*c - a*d)^2)/(b^4*(a + b*x)) + ((b*c - 3*a*d)*(b*c - a*d)*Log[a + b*x])/b^4","A",2,1,16,0.06250,1,"{77}"
263,1,51,0,0.0356793,"\int \frac{(c+d x)^2}{(a+b x)^2} \, dx","Int[(c + d*x)^2/(a + b*x)^2,x]","-\frac{(b c-a d)^2}{b^3 (a+b x)}+\frac{2 d (b c-a d) \log (a+b x)}{b^3}+\frac{d^2 x}{b^2}","-\frac{(b c-a d)^2}{b^3 (a+b x)}+\frac{2 d (b c-a d) \log (a+b x)}{b^3}+\frac{d^2 x}{b^2}",1,"(d^2*x)/b^2 - (b*c - a*d)^2/(b^3*(a + b*x)) + (2*d*(b*c - a*d)*Log[a + b*x])/b^3","A",2,1,15,0.06667,1,"{43}"
264,1,58,0,0.0416725,"\int \frac{(c+d x)^2}{x (a+b x)^2} \, dx","Int[(c + d*x)^2/(x*(a + b*x)^2),x]","-\left(\frac{c^2}{a^2}-\frac{d^2}{b^2}\right) \log (a+b x)+\frac{c^2 \log (x)}{a^2}+\frac{(b c-a d)^2}{a b^2 (a+b x)}","-\left(\frac{c^2}{a^2}-\frac{d^2}{b^2}\right) \log (a+b x)+\frac{c^2 \log (x)}{a^2}+\frac{(b c-a d)^2}{a b^2 (a+b x)}",1,"(b*c - a*d)^2/(a*b^2*(a + b*x)) + (c^2*Log[x])/a^2 - (c^2/a^2 - d^2/b^2)*Log[a + b*x]","A",2,1,18,0.05556,1,"{88}"
265,1,73,0,0.0498078,"\int \frac{(c+d x)^2}{x^2 (a+b x)^2} \, dx","Int[(c + d*x)^2/(x^2*(a + b*x)^2),x]","-\frac{(b c-a d)^2}{a^2 b (a+b x)}-\frac{2 c \log (x) (b c-a d)}{a^3}+\frac{2 c (b c-a d) \log (a+b x)}{a^3}-\frac{c^2}{a^2 x}","-\frac{(b c-a d)^2}{a^2 b (a+b x)}-\frac{2 c \log (x) (b c-a d)}{a^3}+\frac{2 c (b c-a d) \log (a+b x)}{a^3}-\frac{c^2}{a^2 x}",1,"-(c^2/(a^2*x)) - (b*c - a*d)^2/(a^2*b*(a + b*x)) - (2*c*(b*c - a*d)*Log[x])/a^3 + (2*c*(b*c - a*d)*Log[a + b*x])/a^3","A",2,1,18,0.05556,1,"{88}"
266,1,103,0,0.0794943,"\int \frac{(c+d x)^2}{x^3 (a+b x)^2} \, dx","Int[(c + d*x)^2/(x^3*(a + b*x)^2),x]","\frac{2 c (b c-a d)}{a^3 x}+\frac{(b c-a d)^2}{a^3 (a+b x)}+\frac{\log (x) (b c-a d) (3 b c-a d)}{a^4}-\frac{(b c-a d) (3 b c-a d) \log (a+b x)}{a^4}-\frac{c^2}{2 a^2 x^2}","\frac{2 c (b c-a d)}{a^3 x}+\frac{(b c-a d)^2}{a^3 (a+b x)}+\frac{\log (x) (b c-a d) (3 b c-a d)}{a^4}-\frac{(b c-a d) (3 b c-a d) \log (a+b x)}{a^4}-\frac{c^2}{2 a^2 x^2}",1,"-c^2/(2*a^2*x^2) + (2*c*(b*c - a*d))/(a^3*x) + (b*c - a*d)^2/(a^3*(a + b*x)) + ((b*c - a*d)*(3*b*c - a*d)*Log[x])/a^4 - ((b*c - a*d)*(3*b*c - a*d)*Log[a + b*x])/a^4","A",2,1,18,0.05556,1,"{88}"
267,1,132,0,0.1176889,"\int \frac{(c+d x)^2}{x^4 (a+b x)^2} \, dx","Int[(c + d*x)^2/(x^4*(a + b*x)^2),x]","\frac{c (b c-a d)}{a^3 x^2}-\frac{(b c-a d) (3 b c-a d)}{a^4 x}-\frac{b (b c-a d)^2}{a^4 (a+b x)}-\frac{2 b \log (x) (b c-a d) (2 b c-a d)}{a^5}+\frac{2 b (b c-a d) (2 b c-a d) \log (a+b x)}{a^5}-\frac{c^2}{3 a^2 x^3}","\frac{c (b c-a d)}{a^3 x^2}-\frac{(b c-a d) (3 b c-a d)}{a^4 x}-\frac{b (b c-a d)^2}{a^4 (a+b x)}-\frac{2 b \log (x) (b c-a d) (2 b c-a d)}{a^5}+\frac{2 b (b c-a d) (2 b c-a d) \log (a+b x)}{a^5}-\frac{c^2}{3 a^2 x^3}",1,"-c^2/(3*a^2*x^3) + (c*(b*c - a*d))/(a^3*x^2) - ((b*c - a*d)*(3*b*c - a*d))/(a^4*x) - (b*(b*c - a*d)^2)/(a^4*(a + b*x)) - (2*b*(b*c - a*d)*(2*b*c - a*d)*Log[x])/a^5 + (2*b*(b*c - a*d)*(2*b*c - a*d)*Log[a + b*x])/a^5","A",2,1,18,0.05556,1,"{88}"
268,1,167,0,0.1539802,"\int \frac{(c+d x)^2}{x^5 (a+b x)^2} \, dx","Int[(c + d*x)^2/(x^5*(a + b*x)^2),x]","\frac{b^2 (b c-a d)^2}{a^5 (a+b x)}+\frac{b^2 \log (x) (5 b c-3 a d) (b c-a d)}{a^6}-\frac{b^2 (5 b c-3 a d) (b c-a d) \log (a+b x)}{a^6}-\frac{(b c-a d) (3 b c-a d)}{2 a^4 x^2}+\frac{2 c (b c-a d)}{3 a^3 x^3}+\frac{2 b (b c-a d) (2 b c-a d)}{a^5 x}-\frac{c^2}{4 a^2 x^4}","\frac{b^2 (b c-a d)^2}{a^5 (a+b x)}+\frac{b^2 \log (x) (5 b c-3 a d) (b c-a d)}{a^6}-\frac{b^2 (5 b c-3 a d) (b c-a d) \log (a+b x)}{a^6}-\frac{(b c-a d) (3 b c-a d)}{2 a^4 x^2}+\frac{2 c (b c-a d)}{3 a^3 x^3}+\frac{2 b (b c-a d) (2 b c-a d)}{a^5 x}-\frac{c^2}{4 a^2 x^4}",1,"-c^2/(4*a^2*x^4) + (2*c*(b*c - a*d))/(3*a^3*x^3) - ((b*c - a*d)*(3*b*c - a*d))/(2*a^4*x^2) + (2*b*(b*c - a*d)*(2*b*c - a*d))/(a^5*x) + (b^2*(b*c - a*d)^2)/(a^5*(a + b*x)) + (b^2*(5*b*c - 3*a*d)*(b*c - a*d)*Log[x])/a^6 - (b^2*(5*b*c - 3*a*d)*(b*c - a*d)*Log[a + b*x])/a^6","A",2,1,18,0.05556,1,"{88}"
269,1,200,0,0.2680164,"\int \frac{x^4 (c+d x)^3}{(a+b x)^2} \, dx","Int[(x^4*(c + d*x)^3)/(a + b*x)^2,x]","\frac{3 a^2 x (b c-2 a d) (b c-a d)^2}{b^7}-\frac{a^4 (b c-a d)^3}{b^8 (a+b x)}-\frac{a^3 (4 b c-7 a d) (b c-a d)^2 \log (a+b x)}{b^8}+\frac{d^2 x^5 (3 b c-2 a d)}{5 b^3}+\frac{3 d x^4 (b c-a d)^2}{4 b^4}+\frac{x^3 (b c-4 a d) (b c-a d)^2}{3 b^5}-\frac{a x^2 (2 b c-5 a d) (b c-a d)^2}{2 b^6}+\frac{d^3 x^6}{6 b^2}","\frac{3 a^2 x (b c-2 a d) (b c-a d)^2}{b^7}-\frac{a^4 (b c-a d)^3}{b^8 (a+b x)}-\frac{a^3 (4 b c-7 a d) (b c-a d)^2 \log (a+b x)}{b^8}+\frac{d^2 x^5 (3 b c-2 a d)}{5 b^3}+\frac{3 d x^4 (b c-a d)^2}{4 b^4}+\frac{x^3 (b c-4 a d) (b c-a d)^2}{3 b^5}-\frac{a x^2 (2 b c-5 a d) (b c-a d)^2}{2 b^6}+\frac{d^3 x^6}{6 b^2}",1,"(3*a^2*(b*c - 2*a*d)*(b*c - a*d)^2*x)/b^7 - (a*(2*b*c - 5*a*d)*(b*c - a*d)^2*x^2)/(2*b^6) + ((b*c - 4*a*d)*(b*c - a*d)^2*x^3)/(3*b^5) + (3*d*(b*c - a*d)^2*x^4)/(4*b^4) + (d^2*(3*b*c - 2*a*d)*x^5)/(5*b^3) + (d^3*x^6)/(6*b^2) - (a^4*(b*c - a*d)^3)/(b^8*(a + b*x)) - (a^3*(4*b*c - 7*a*d)*(b*c - a*d)^2*Log[a + b*x])/b^8","A",2,1,18,0.05556,1,"{88}"
270,1,164,0,0.1647874,"\int \frac{x^3 (c+d x)^3}{(a+b x)^2} \, dx","Int[(x^3*(c + d*x)^3)/(a + b*x)^2,x]","\frac{a^3 (b c-a d)^3}{b^7 (a+b x)}+\frac{3 a^2 (b c-2 a d) (b c-a d)^2 \log (a+b x)}{b^7}+\frac{d^2 x^4 (3 b c-2 a d)}{4 b^3}+\frac{d x^3 (b c-a d)^2}{b^4}+\frac{x^2 (b c-4 a d) (b c-a d)^2}{2 b^5}-\frac{a x (2 b c-5 a d) (b c-a d)^2}{b^6}+\frac{d^3 x^5}{5 b^2}","\frac{a^3 (b c-a d)^3}{b^7 (a+b x)}+\frac{3 a^2 (b c-2 a d) (b c-a d)^2 \log (a+b x)}{b^7}+\frac{d^2 x^4 (3 b c-2 a d)}{4 b^3}+\frac{d x^3 (b c-a d)^2}{b^4}+\frac{x^2 (b c-4 a d) (b c-a d)^2}{2 b^5}-\frac{a x (2 b c-5 a d) (b c-a d)^2}{b^6}+\frac{d^3 x^5}{5 b^2}",1,"-((a*(2*b*c - 5*a*d)*(b*c - a*d)^2*x)/b^6) + ((b*c - 4*a*d)*(b*c - a*d)^2*x^2)/(2*b^5) + (d*(b*c - a*d)^2*x^3)/b^4 + (d^2*(3*b*c - 2*a*d)*x^4)/(4*b^3) + (d^3*x^5)/(5*b^2) + (a^3*(b*c - a*d)^3)/(b^7*(a + b*x)) + (3*a^2*(b*c - 2*a*d)*(b*c - a*d)^2*Log[a + b*x])/b^7","A",2,1,18,0.05556,1,"{88}"
271,1,136,0,0.1242789,"\int \frac{x^2 (c+d x)^3}{(a+b x)^2} \, dx","Int[(x^2*(c + d*x)^3)/(a + b*x)^2,x]","-\frac{a^2 (b c-a d)^3}{b^6 (a+b x)}+\frac{d^2 x^3 (3 b c-2 a d)}{3 b^3}+\frac{3 d x^2 (b c-a d)^2}{2 b^4}+\frac{x (b c-4 a d) (b c-a d)^2}{b^5}-\frac{a (2 b c-5 a d) (b c-a d)^2 \log (a+b x)}{b^6}+\frac{d^3 x^4}{4 b^2}","-\frac{a^2 (b c-a d)^3}{b^6 (a+b x)}+\frac{d^2 x^3 (3 b c-2 a d)}{3 b^3}+\frac{3 d x^2 (b c-a d)^2}{2 b^4}+\frac{x (b c-4 a d) (b c-a d)^2}{b^5}-\frac{a (2 b c-5 a d) (b c-a d)^2 \log (a+b x)}{b^6}+\frac{d^3 x^4}{4 b^2}",1,"((b*c - 4*a*d)*(b*c - a*d)^2*x)/b^5 + (3*d*(b*c - a*d)^2*x^2)/(2*b^4) + (d^2*(3*b*c - 2*a*d)*x^3)/(3*b^3) + (d^3*x^4)/(4*b^2) - (a^2*(b*c - a*d)^3)/(b^6*(a + b*x)) - (a*(2*b*c - 5*a*d)*(b*c - a*d)^2*Log[a + b*x])/b^6","A",2,1,18,0.05556,1,"{88}"
272,1,103,0,0.1027996,"\int \frac{x (c+d x)^3}{(a+b x)^2} \, dx","Int[(x*(c + d*x)^3)/(a + b*x)^2,x]","\frac{d^2 x^2 (3 b c-2 a d)}{2 b^3}+\frac{a (b c-a d)^3}{b^5 (a+b x)}+\frac{3 d x (b c-a d)^2}{b^4}+\frac{(b c-4 a d) (b c-a d)^2 \log (a+b x)}{b^5}+\frac{d^3 x^3}{3 b^2}","\frac{d^2 x^2 (3 b c-2 a d)}{2 b^3}+\frac{a (b c-a d)^3}{b^5 (a+b x)}+\frac{3 d x (b c-a d)^2}{b^4}+\frac{(b c-4 a d) (b c-a d)^2 \log (a+b x)}{b^5}+\frac{d^3 x^3}{3 b^2}",1,"(3*d*(b*c - a*d)^2*x)/b^4 + (d^2*(3*b*c - 2*a*d)*x^2)/(2*b^3) + (d^3*x^3)/(3*b^2) + (a*(b*c - a*d)^3)/(b^5*(a + b*x)) + ((b*c - 4*a*d)*(b*c - a*d)^2*Log[a + b*x])/b^5","A",2,1,16,0.06250,1,"{77}"
273,1,75,0,0.0614668,"\int \frac{(c+d x)^3}{(a+b x)^2} \, dx","Int[(c + d*x)^3/(a + b*x)^2,x]","\frac{d^2 x (3 b c-2 a d)}{b^3}-\frac{(b c-a d)^3}{b^4 (a+b x)}+\frac{3 d (b c-a d)^2 \log (a+b x)}{b^4}+\frac{d^3 x^2}{2 b^2}","\frac{d^2 x (3 b c-2 a d)}{b^3}-\frac{(b c-a d)^3}{b^4 (a+b x)}+\frac{3 d (b c-a d)^2 \log (a+b x)}{b^4}+\frac{d^3 x^2}{2 b^2}",1,"(d^2*(3*b*c - 2*a*d)*x)/b^3 + (d^3*x^2)/(2*b^2) - (b*c - a*d)^3/(b^4*(a + b*x)) + (3*d*(b*c - a*d)^2*Log[a + b*x])/b^4","A",2,1,15,0.06667,1,"{43}"
274,1,74,0,0.0604346,"\int \frac{(c+d x)^3}{x (a+b x)^2} \, dx","Int[(c + d*x)^3/(x*(a + b*x)^2),x]","-\frac{(b c-a d)^2 (2 a d+b c) \log (a+b x)}{a^2 b^3}+\frac{c^3 \log (x)}{a^2}+\frac{(b c-a d)^3}{a b^3 (a+b x)}+\frac{d^3 x}{b^2}","-\frac{(b c-a d)^2 (2 a d+b c) \log (a+b x)}{a^2 b^3}+\frac{c^3 \log (x)}{a^2}+\frac{(b c-a d)^3}{a b^3 (a+b x)}+\frac{d^3 x}{b^2}",1,"(d^3*x)/b^2 + (b*c - a*d)^3/(a*b^3*(a + b*x)) + (c^3*Log[x])/a^2 - ((b*c - a*d)^2*(b*c + 2*a*d)*Log[a + b*x])/(a^2*b^3)","A",2,1,18,0.05556,1,"{88}"
275,1,87,0,0.0746623,"\int \frac{(c+d x)^3}{x^2 (a+b x)^2} \, dx","Int[(c + d*x)^3/(x^2*(a + b*x)^2),x]","-\frac{(b c-a d)^3}{a^2 b^2 (a+b x)}+\frac{(b c-a d)^2 (a d+2 b c) \log (a+b x)}{a^3 b^2}-\frac{c^2 \log (x) (2 b c-3 a d)}{a^3}-\frac{c^3}{a^2 x}","-\frac{(b c-a d)^3}{a^2 b^2 (a+b x)}+\frac{(b c-a d)^2 (a d+2 b c) \log (a+b x)}{a^3 b^2}-\frac{c^2 \log (x) (2 b c-3 a d)}{a^3}-\frac{c^3}{a^2 x}",1,"-(c^3/(a^2*x)) - (b*c - a*d)^3/(a^2*b^2*(a + b*x)) - (c^2*(2*b*c - 3*a*d)*Log[x])/a^3 + ((b*c - a*d)^2*(2*b*c + a*d)*Log[a + b*x])/(a^3*b^2)","A",2,1,18,0.05556,1,"{88}"
276,1,97,0,0.0760586,"\int \frac{(c+d x)^3}{x^3 (a+b x)^2} \, dx","Int[(c + d*x)^3/(x^3*(a + b*x)^2),x]","\frac{c^2 (2 b c-3 a d)}{a^3 x}+\frac{(b c-a d)^3}{a^3 b (a+b x)}+\frac{3 c \log (x) (b c-a d)^2}{a^4}-\frac{3 c (b c-a d)^2 \log (a+b x)}{a^4}-\frac{c^3}{2 a^2 x^2}","\frac{c^2 (2 b c-3 a d)}{a^3 x}+\frac{(b c-a d)^3}{a^3 b (a+b x)}+\frac{3 c \log (x) (b c-a d)^2}{a^4}-\frac{3 c (b c-a d)^2 \log (a+b x)}{a^4}-\frac{c^3}{2 a^2 x^2}",1,"-c^3/(2*a^2*x^2) + (c^2*(2*b*c - 3*a*d))/(a^3*x) + (b*c - a*d)^3/(a^3*b*(a + b*x)) + (3*c*(b*c - a*d)^2*Log[x])/a^4 - (3*c*(b*c - a*d)^2*Log[a + b*x])/a^4","A",2,1,18,0.05556,1,"{88}"
277,1,132,0,0.1057866,"\int \frac{(c+d x)^3}{x^4 (a+b x)^2} \, dx","Int[(c + d*x)^3/(x^4*(a + b*x)^2),x]","\frac{c^2 (2 b c-3 a d)}{2 a^3 x^2}-\frac{3 c (b c-a d)^2}{a^4 x}-\frac{(b c-a d)^3}{a^4 (a+b x)}-\frac{\log (x) (b c-a d)^2 (4 b c-a d)}{a^5}+\frac{(b c-a d)^2 (4 b c-a d) \log (a+b x)}{a^5}-\frac{c^3}{3 a^2 x^3}","\frac{c^2 (2 b c-3 a d)}{2 a^3 x^2}-\frac{3 c (b c-a d)^2}{a^4 x}-\frac{(b c-a d)^3}{a^4 (a+b x)}-\frac{\log (x) (b c-a d)^2 (4 b c-a d)}{a^5}+\frac{(b c-a d)^2 (4 b c-a d) \log (a+b x)}{a^5}-\frac{c^3}{3 a^2 x^3}",1,"-c^3/(3*a^2*x^3) + (c^2*(2*b*c - 3*a*d))/(2*a^3*x^2) - (3*c*(b*c - a*d)^2)/(a^4*x) - (b*c - a*d)^3/(a^4*(a + b*x)) - ((b*c - a*d)^2*(4*b*c - a*d)*Log[x])/a^5 + ((b*c - a*d)^2*(4*b*c - a*d)*Log[a + b*x])/a^5","A",2,1,18,0.05556,1,"{88}"
278,1,162,0,0.137446,"\int \frac{(c+d x)^3}{x^5 (a+b x)^2} \, dx","Int[(c + d*x)^3/(x^5*(a + b*x)^2),x]","\frac{c^2 (2 b c-3 a d)}{3 a^3 x^3}-\frac{3 c (b c-a d)^2}{2 a^4 x^2}+\frac{(b c-a d)^2 (4 b c-a d)}{a^5 x}+\frac{b (b c-a d)^3}{a^5 (a+b x)}+\frac{b \log (x) (5 b c-2 a d) (b c-a d)^2}{a^6}-\frac{b (5 b c-2 a d) (b c-a d)^2 \log (a+b x)}{a^6}-\frac{c^3}{4 a^2 x^4}","\frac{c^2 (2 b c-3 a d)}{3 a^3 x^3}-\frac{3 c (b c-a d)^2}{2 a^4 x^2}+\frac{(b c-a d)^2 (4 b c-a d)}{a^5 x}+\frac{b (b c-a d)^3}{a^5 (a+b x)}+\frac{b \log (x) (5 b c-2 a d) (b c-a d)^2}{a^6}-\frac{b (5 b c-2 a d) (b c-a d)^2 \log (a+b x)}{a^6}-\frac{c^3}{4 a^2 x^4}",1,"-c^3/(4*a^2*x^4) + (c^2*(2*b*c - 3*a*d))/(3*a^3*x^3) - (3*c*(b*c - a*d)^2)/(2*a^4*x^2) + ((b*c - a*d)^2*(4*b*c - a*d))/(a^5*x) + (b*(b*c - a*d)^3)/(a^5*(a + b*x)) + (b*(5*b*c - 2*a*d)*(b*c - a*d)^2*Log[x])/a^6 - (b*(5*b*c - 2*a*d)*(b*c - a*d)^2*Log[a + b*x])/a^6","A",2,1,18,0.05556,1,"{88}"
279,1,199,0,0.1816003,"\int \frac{(c+d x)^3}{x^6 (a+b x)^2} \, dx","Int[(c + d*x)^3/(x^6*(a + b*x)^2),x]","-\frac{b^2 (b c-a d)^3}{a^6 (a+b x)}-\frac{3 b^2 \log (x) (b c-a d)^2 (2 b c-a d)}{a^7}+\frac{3 b^2 (b c-a d)^2 (2 b c-a d) \log (a+b x)}{a^7}+\frac{c^2 (2 b c-3 a d)}{4 a^3 x^4}-\frac{c (b c-a d)^2}{a^4 x^3}+\frac{(b c-a d)^2 (4 b c-a d)}{2 a^5 x^2}-\frac{b (5 b c-2 a d) (b c-a d)^2}{a^6 x}-\frac{c^3}{5 a^2 x^5}","-\frac{b^2 (b c-a d)^3}{a^6 (a+b x)}-\frac{3 b^2 \log (x) (b c-a d)^2 (2 b c-a d)}{a^7}+\frac{3 b^2 (b c-a d)^2 (2 b c-a d) \log (a+b x)}{a^7}+\frac{c^2 (2 b c-3 a d)}{4 a^3 x^4}-\frac{c (b c-a d)^2}{a^4 x^3}+\frac{(b c-a d)^2 (4 b c-a d)}{2 a^5 x^2}-\frac{b (5 b c-2 a d) (b c-a d)^2}{a^6 x}-\frac{c^3}{5 a^2 x^5}",1,"-c^3/(5*a^2*x^5) + (c^2*(2*b*c - 3*a*d))/(4*a^3*x^4) - (c*(b*c - a*d)^2)/(a^4*x^3) + ((b*c - a*d)^2*(4*b*c - a*d))/(2*a^5*x^2) - (b*(5*b*c - 2*a*d)*(b*c - a*d)^2)/(a^6*x) - (b^2*(b*c - a*d)^3)/(a^6*(a + b*x)) - (3*b^2*(b*c - a*d)^2*(2*b*c - a*d)*Log[x])/a^7 + (3*b^2*(b*c - a*d)^2*(2*b*c - a*d)*Log[a + b*x])/a^7","A",2,1,18,0.05556,1,"{88}"
280,1,179,0,0.2331437,"\int \frac{x^6}{(a+b x)^2 (c+d x)^2} \, dx","Int[x^6/((a + b*x)^2*(c + d*x)^2),x]","\frac{x \left(3 a^2 d^2+4 a b c d+3 b^2 c^2\right)}{b^4 d^4}-\frac{a^6}{b^5 (a+b x) (b c-a d)^2}-\frac{2 a^5 (3 b c-2 a d) \log (a+b x)}{b^5 (b c-a d)^3}-\frac{x^2 (a d+b c)}{b^3 d^3}-\frac{c^6}{d^5 (c+d x) (b c-a d)^2}-\frac{2 c^5 (2 b c-3 a d) \log (c+d x)}{d^5 (b c-a d)^3}+\frac{x^3}{3 b^2 d^2}","\frac{x \left(3 a^2 d^2+4 a b c d+3 b^2 c^2\right)}{b^4 d^4}-\frac{a^6}{b^5 (a+b x) (b c-a d)^2}-\frac{2 a^5 (3 b c-2 a d) \log (a+b x)}{b^5 (b c-a d)^3}-\frac{x^2 (a d+b c)}{b^3 d^3}-\frac{c^6}{d^5 (c+d x) (b c-a d)^2}-\frac{2 c^5 (2 b c-3 a d) \log (c+d x)}{d^5 (b c-a d)^3}+\frac{x^3}{3 b^2 d^2}",1,"((3*b^2*c^2 + 4*a*b*c*d + 3*a^2*d^2)*x)/(b^4*d^4) - ((b*c + a*d)*x^2)/(b^3*d^3) + x^3/(3*b^2*d^2) - a^6/(b^5*(b*c - a*d)^2*(a + b*x)) - c^6/(d^5*(b*c - a*d)^2*(c + d*x)) - (2*a^5*(3*b*c - 2*a*d)*Log[a + b*x])/(b^5*(b*c - a*d)^3) - (2*c^5*(2*b*c - 3*a*d)*Log[c + d*x])/(d^5*(b*c - a*d)^3)","A",2,1,18,0.05556,1,"{88}"
281,1,142,0,0.166142,"\int \frac{x^5}{(a+b x)^2 (c+d x)^2} \, dx","Int[x^5/((a + b*x)^2*(c + d*x)^2),x]","\frac{a^5}{b^4 (a+b x) (b c-a d)^2}+\frac{a^4 (5 b c-3 a d) \log (a+b x)}{b^4 (b c-a d)^3}-\frac{2 x (a d+b c)}{b^3 d^3}+\frac{c^5}{d^4 (c+d x) (b c-a d)^2}+\frac{c^4 (3 b c-5 a d) \log (c+d x)}{d^4 (b c-a d)^3}+\frac{x^2}{2 b^2 d^2}","\frac{a^5}{b^4 (a+b x) (b c-a d)^2}+\frac{a^4 (5 b c-3 a d) \log (a+b x)}{b^4 (b c-a d)^3}-\frac{2 x (a d+b c)}{b^3 d^3}+\frac{c^5}{d^4 (c+d x) (b c-a d)^2}+\frac{c^4 (3 b c-5 a d) \log (c+d x)}{d^4 (b c-a d)^3}+\frac{x^2}{2 b^2 d^2}",1,"(-2*(b*c + a*d)*x)/(b^3*d^3) + x^2/(2*b^2*d^2) + a^5/(b^4*(b*c - a*d)^2*(a + b*x)) + c^5/(d^4*(b*c - a*d)^2*(c + d*x)) + (a^4*(5*b*c - 3*a*d)*Log[a + b*x])/(b^4*(b*c - a*d)^3) + (c^4*(3*b*c - 5*a*d)*Log[c + d*x])/(d^4*(b*c - a*d)^3)","A",2,1,18,0.05556,1,"{88}"
282,1,124,0,0.1310608,"\int \frac{x^4}{(a+b x)^2 (c+d x)^2} \, dx","Int[x^4/((a + b*x)^2*(c + d*x)^2),x]","-\frac{a^4}{b^3 (a+b x) (b c-a d)^2}-\frac{2 a^3 (2 b c-a d) \log (a+b x)}{b^3 (b c-a d)^3}-\frac{c^4}{d^3 (c+d x) (b c-a d)^2}-\frac{2 c^3 (b c-2 a d) \log (c+d x)}{d^3 (b c-a d)^3}+\frac{x}{b^2 d^2}","-\frac{a^4}{b^3 (a+b x) (b c-a d)^2}-\frac{2 a^3 (2 b c-a d) \log (a+b x)}{b^3 (b c-a d)^3}-\frac{c^4}{d^3 (c+d x) (b c-a d)^2}-\frac{2 c^3 (b c-2 a d) \log (c+d x)}{d^3 (b c-a d)^3}+\frac{x}{b^2 d^2}",1,"x/(b^2*d^2) - a^4/(b^3*(b*c - a*d)^2*(a + b*x)) - c^4/(d^3*(b*c - a*d)^2*(c + d*x)) - (2*a^3*(2*b*c - a*d)*Log[a + b*x])/(b^3*(b*c - a*d)^3) - (2*c^3*(b*c - 2*a*d)*Log[c + d*x])/(d^3*(b*c - a*d)^3)","A",2,1,18,0.05556,1,"{88}"
283,1,112,0,0.1122761,"\int \frac{x^3}{(a+b x)^2 (c+d x)^2} \, dx","Int[x^3/((a + b*x)^2*(c + d*x)^2),x]","\frac{a^3}{b^2 (a+b x) (b c-a d)^2}+\frac{a^2 (3 b c-a d) \log (a+b x)}{b^2 (b c-a d)^3}+\frac{c^3}{d^2 (c+d x) (b c-a d)^2}+\frac{c^2 (b c-3 a d) \log (c+d x)}{d^2 (b c-a d)^3}","\frac{a^3}{b^2 (a+b x) (b c-a d)^2}+\frac{a^2 (3 b c-a d) \log (a+b x)}{b^2 (b c-a d)^3}+\frac{c^3}{d^2 (c+d x) (b c-a d)^2}+\frac{c^2 (b c-3 a d) \log (c+d x)}{d^2 (b c-a d)^3}",1,"a^3/(b^2*(b*c - a*d)^2*(a + b*x)) + c^3/(d^2*(b*c - a*d)^2*(c + d*x)) + (a^2*(3*b*c - a*d)*Log[a + b*x])/(b^2*(b*c - a*d)^3) + (c^2*(b*c - 3*a*d)*Log[c + d*x])/(d^2*(b*c - a*d)^3)","A",2,1,18,0.05556,1,"{88}"
284,1,91,0,0.0648745,"\int \frac{x^2}{(a+b x)^2 (c+d x)^2} \, dx","Int[x^2/((a + b*x)^2*(c + d*x)^2),x]","-\frac{a^2}{b (a+b x) (b c-a d)^2}-\frac{c^2}{d (c+d x) (b c-a d)^2}-\frac{2 a c \log (a+b x)}{(b c-a d)^3}+\frac{2 a c \log (c+d x)}{(b c-a d)^3}","-\frac{a^2}{b (a+b x) (b c-a d)^2}-\frac{c^2}{d (c+d x) (b c-a d)^2}-\frac{2 a c \log (a+b x)}{(b c-a d)^3}+\frac{2 a c \log (c+d x)}{(b c-a d)^3}",1,"-(a^2/(b*(b*c - a*d)^2*(a + b*x))) - c^2/(d*(b*c - a*d)^2*(c + d*x)) - (2*a*c*Log[a + b*x])/(b*c - a*d)^3 + (2*a*c*Log[c + d*x])/(b*c - a*d)^3","A",2,1,18,0.05556,1,"{88}"
285,1,88,0,0.0661421,"\int \frac{x}{(a+b x)^2 (c+d x)^2} \, dx","Int[x/((a + b*x)^2*(c + d*x)^2),x]","\frac{a}{(a+b x) (b c-a d)^2}+\frac{c}{(c+d x) (b c-a d)^2}+\frac{(a d+b c) \log (a+b x)}{(b c-a d)^3}-\frac{(a d+b c) \log (c+d x)}{(b c-a d)^3}","\frac{a}{(a+b x) (b c-a d)^2}+\frac{c}{(c+d x) (b c-a d)^2}+\frac{(a d+b c) \log (a+b x)}{(b c-a d)^3}-\frac{(a d+b c) \log (c+d x)}{(b c-a d)^3}",1,"a/((b*c - a*d)^2*(a + b*x)) + c/((b*c - a*d)^2*(c + d*x)) + ((b*c + a*d)*Log[a + b*x])/(b*c - a*d)^3 - ((b*c + a*d)*Log[c + d*x])/(b*c - a*d)^3","A",2,1,16,0.06250,1,"{77}"
286,1,81,0,0.0478605,"\int \frac{1}{(a+b x)^2 (c+d x)^2} \, dx","Int[1/((a + b*x)^2*(c + d*x)^2),x]","-\frac{b}{(a+b x) (b c-a d)^2}-\frac{d}{(c+d x) (b c-a d)^2}-\frac{2 b d \log (a+b x)}{(b c-a d)^3}+\frac{2 b d \log (c+d x)}{(b c-a d)^3}","-\frac{b}{(a+b x) (b c-a d)^2}-\frac{d}{(c+d x) (b c-a d)^2}-\frac{2 b d \log (a+b x)}{(b c-a d)^3}+\frac{2 b d \log (c+d x)}{(b c-a d)^3}",1,"-(b/((b*c - a*d)^2*(a + b*x))) - d/((b*c - a*d)^2*(c + d*x)) - (2*b*d*Log[a + b*x])/(b*c - a*d)^3 + (2*b*d*Log[c + d*x])/(b*c - a*d)^3","A",2,1,15,0.06667,1,"{44}"
287,1,123,0,0.1165414,"\int \frac{1}{x (a+b x)^2 (c+d x)^2} \, dx","Int[1/(x*(a + b*x)^2*(c + d*x)^2),x]","-\frac{b^2 (b c-3 a d) \log (a+b x)}{a^2 (b c-a d)^3}+\frac{\log (x)}{a^2 c^2}+\frac{b^2}{a (a+b x) (b c-a d)^2}-\frac{d^2 (3 b c-a d) \log (c+d x)}{c^2 (b c-a d)^3}+\frac{d^2}{c (c+d x) (b c-a d)^2}","-\frac{b^2 (b c-3 a d) \log (a+b x)}{a^2 (b c-a d)^3}+\frac{\log (x)}{a^2 c^2}+\frac{b^2}{a (a+b x) (b c-a d)^2}-\frac{d^2 (3 b c-a d) \log (c+d x)}{c^2 (b c-a d)^3}+\frac{d^2}{c (c+d x) (b c-a d)^2}",1,"b^2/(a*(b*c - a*d)^2*(a + b*x)) + d^2/(c*(b*c - a*d)^2*(c + d*x)) + Log[x]/(a^2*c^2) - (b^2*(b*c - 3*a*d)*Log[a + b*x])/(a^2*(b*c - a*d)^3) - (d^2*(3*b*c - a*d)*Log[c + d*x])/(c^2*(b*c - a*d)^3)","A",2,1,18,0.05556,1,"{88}"
288,1,144,0,0.1538989,"\int \frac{1}{x^2 (a+b x)^2 (c+d x)^2} \, dx","Int[1/(x^2*(a + b*x)^2*(c + d*x)^2),x]","-\frac{b^3}{a^2 (a+b x) (b c-a d)^2}+\frac{2 b^3 (b c-2 a d) \log (a+b x)}{a^3 (b c-a d)^3}-\frac{2 \log (x) (a d+b c)}{a^3 c^3}-\frac{1}{a^2 c^2 x}-\frac{d^3}{c^2 (c+d x) (b c-a d)^2}+\frac{2 d^3 (2 b c-a d) \log (c+d x)}{c^3 (b c-a d)^3}","-\frac{b^3}{a^2 (a+b x) (b c-a d)^2}+\frac{2 b^3 (b c-2 a d) \log (a+b x)}{a^3 (b c-a d)^3}-\frac{2 \log (x) (a d+b c)}{a^3 c^3}-\frac{1}{a^2 c^2 x}-\frac{d^3}{c^2 (c+d x) (b c-a d)^2}+\frac{2 d^3 (2 b c-a d) \log (c+d x)}{c^3 (b c-a d)^3}",1,"-(1/(a^2*c^2*x)) - b^3/(a^2*(b*c - a*d)^2*(a + b*x)) - d^3/(c^2*(b*c - a*d)^2*(c + d*x)) - (2*(b*c + a*d)*Log[x])/(a^3*c^3) + (2*b^3*(b*c - 2*a*d)*Log[a + b*x])/(a^3*(b*c - a*d)^3) + (2*d^3*(2*b*c - a*d)*Log[c + d*x])/(c^3*(b*c - a*d)^3)","A",2,1,18,0.05556,1,"{88}"
289,1,178,0,0.20293,"\int \frac{1}{x^3 (a+b x)^2 (c+d x)^2} \, dx","Int[1/(x^3*(a + b*x)^2*(c + d*x)^2),x]","\frac{\log (x) \left(3 a^2 d^2+4 a b c d+3 b^2 c^2\right)}{a^4 c^4}+\frac{b^4}{a^3 (a+b x) (b c-a d)^2}-\frac{b^4 (3 b c-5 a d) \log (a+b x)}{a^4 (b c-a d)^3}+\frac{2 (a d+b c)}{a^3 c^3 x}-\frac{1}{2 a^2 c^2 x^2}+\frac{d^4}{c^3 (c+d x) (b c-a d)^2}-\frac{d^4 (5 b c-3 a d) \log (c+d x)}{c^4 (b c-a d)^3}","\frac{\log (x) \left(3 a^2 d^2+4 a b c d+3 b^2 c^2\right)}{a^4 c^4}+\frac{b^4}{a^3 (a+b x) (b c-a d)^2}-\frac{b^4 (3 b c-5 a d) \log (a+b x)}{a^4 (b c-a d)^3}+\frac{2 (a d+b c)}{a^3 c^3 x}-\frac{1}{2 a^2 c^2 x^2}+\frac{d^4}{c^3 (c+d x) (b c-a d)^2}-\frac{d^4 (5 b c-3 a d) \log (c+d x)}{c^4 (b c-a d)^3}",1,"-1/(2*a^2*c^2*x^2) + (2*(b*c + a*d))/(a^3*c^3*x) + b^4/(a^3*(b*c - a*d)^2*(a + b*x)) + d^4/(c^3*(b*c - a*d)^2*(c + d*x)) + ((3*b^2*c^2 + 4*a*b*c*d + 3*a^2*d^2)*Log[x])/(a^4*c^4) - (b^4*(3*b*c - 5*a*d)*Log[a + b*x])/(a^4*(b*c - a*d)^3) - (d^4*(5*b*c - 3*a*d)*Log[c + d*x])/(c^4*(b*c - a*d)^3)","A",2,1,18,0.05556,1,"{88}"
290,1,231,0,0.3674748,"\int \frac{x^7}{(a+b x)^2 (c+d x)^3} \, dx","Int[x^7/((a + b*x)^2*(c + d*x)^3),x]","\frac{3 x \left(a^2 d^2+2 a b c d+2 b^2 c^2\right)}{b^4 d^5}-\frac{c^5 \left(21 a^2 d^2-28 a b c d+10 b^2 c^2\right) \log (c+d x)}{d^6 (b c-a d)^4}+\frac{a^7}{b^5 (a+b x) (b c-a d)^3}+\frac{a^6 (7 b c-4 a d) \log (a+b x)}{b^5 (b c-a d)^4}-\frac{x^2 (2 a d+3 b c)}{2 b^3 d^4}-\frac{c^6 (5 b c-7 a d)}{d^6 (c+d x) (b c-a d)^3}+\frac{c^7}{2 d^6 (c+d x)^2 (b c-a d)^2}+\frac{x^3}{3 b^2 d^3}","\frac{3 x \left(a^2 d^2+2 a b c d+2 b^2 c^2\right)}{b^4 d^5}-\frac{c^5 \left(21 a^2 d^2-28 a b c d+10 b^2 c^2\right) \log (c+d x)}{d^6 (b c-a d)^4}+\frac{a^7}{b^5 (a+b x) (b c-a d)^3}+\frac{a^6 (7 b c-4 a d) \log (a+b x)}{b^5 (b c-a d)^4}-\frac{x^2 (2 a d+3 b c)}{2 b^3 d^4}-\frac{c^6 (5 b c-7 a d)}{d^6 (c+d x) (b c-a d)^3}+\frac{c^7}{2 d^6 (c+d x)^2 (b c-a d)^2}+\frac{x^3}{3 b^2 d^3}",1,"(3*(2*b^2*c^2 + 2*a*b*c*d + a^2*d^2)*x)/(b^4*d^5) - ((3*b*c + 2*a*d)*x^2)/(2*b^3*d^4) + x^3/(3*b^2*d^3) + a^7/(b^5*(b*c - a*d)^3*(a + b*x)) + c^7/(2*d^6*(b*c - a*d)^2*(c + d*x)^2) - (c^6*(5*b*c - 7*a*d))/(d^6*(b*c - a*d)^3*(c + d*x)) + (a^6*(7*b*c - 4*a*d)*Log[a + b*x])/(b^5*(b*c - a*d)^4) - (c^5*(10*b^2*c^2 - 28*a*b*c*d + 21*a^2*d^2)*Log[c + d*x])/(d^6*(b*c - a*d)^4)","A",2,1,18,0.05556,1,"{88}"
291,1,198,0,0.2668234,"\int \frac{x^6}{(a+b x)^2 (c+d x)^3} \, dx","Int[x^6/((a + b*x)^2*(c + d*x)^3),x]","\frac{3 c^4 \left(5 a^2 d^2-6 a b c d+2 b^2 c^2\right) \log (c+d x)}{d^5 (b c-a d)^4}-\frac{a^6}{b^4 (a+b x) (b c-a d)^3}-\frac{3 a^5 (2 b c-a d) \log (a+b x)}{b^4 (b c-a d)^4}-\frac{x (2 a d+3 b c)}{b^3 d^4}+\frac{2 c^5 (2 b c-3 a d)}{d^5 (c+d x) (b c-a d)^3}-\frac{c^6}{2 d^5 (c+d x)^2 (b c-a d)^2}+\frac{x^2}{2 b^2 d^3}","\frac{3 c^4 \left(5 a^2 d^2-6 a b c d+2 b^2 c^2\right) \log (c+d x)}{d^5 (b c-a d)^4}-\frac{a^6}{b^4 (a+b x) (b c-a d)^3}-\frac{3 a^5 (2 b c-a d) \log (a+b x)}{b^4 (b c-a d)^4}-\frac{x (2 a d+3 b c)}{b^3 d^4}+\frac{2 c^5 (2 b c-3 a d)}{d^5 (c+d x) (b c-a d)^3}-\frac{c^6}{2 d^5 (c+d x)^2 (b c-a d)^2}+\frac{x^2}{2 b^2 d^3}",1,"-(((3*b*c + 2*a*d)*x)/(b^3*d^4)) + x^2/(2*b^2*d^3) - a^6/(b^4*(b*c - a*d)^3*(a + b*x)) - c^6/(2*d^5*(b*c - a*d)^2*(c + d*x)^2) + (2*c^5*(2*b*c - 3*a*d))/(d^5*(b*c - a*d)^3*(c + d*x)) - (3*a^5*(2*b*c - a*d)*Log[a + b*x])/(b^4*(b*c - a*d)^4) + (3*c^4*(2*b^2*c^2 - 6*a*b*c*d + 5*a^2*d^2)*Log[c + d*x])/(d^5*(b*c - a*d)^4)","A",2,1,18,0.05556,1,"{88}"
292,1,173,0,0.2048771,"\int \frac{x^5}{(a+b x)^2 (c+d x)^3} \, dx","Int[x^5/((a + b*x)^2*(c + d*x)^3),x]","-\frac{c^3 \left(10 a^2 d^2-10 a b c d+3 b^2 c^2\right) \log (c+d x)}{d^4 (b c-a d)^4}+\frac{a^5}{b^3 (a+b x) (b c-a d)^3}+\frac{a^4 (5 b c-2 a d) \log (a+b x)}{b^3 (b c-a d)^4}-\frac{c^4 (3 b c-5 a d)}{d^4 (c+d x) (b c-a d)^3}+\frac{c^5}{2 d^4 (c+d x)^2 (b c-a d)^2}+\frac{x}{b^2 d^3}","-\frac{c^3 \left(10 a^2 d^2-10 a b c d+3 b^2 c^2\right) \log (c+d x)}{d^4 (b c-a d)^4}+\frac{a^5}{b^3 (a+b x) (b c-a d)^3}+\frac{a^4 (5 b c-2 a d) \log (a+b x)}{b^3 (b c-a d)^4}-\frac{c^4 (3 b c-5 a d)}{d^4 (c+d x) (b c-a d)^3}+\frac{c^5}{2 d^4 (c+d x)^2 (b c-a d)^2}+\frac{x}{b^2 d^3}",1,"x/(b^2*d^3) + a^5/(b^3*(b*c - a*d)^3*(a + b*x)) + c^5/(2*d^4*(b*c - a*d)^2*(c + d*x)^2) - (c^4*(3*b*c - 5*a*d))/(d^4*(b*c - a*d)^3*(c + d*x)) + (a^4*(5*b*c - 2*a*d)*Log[a + b*x])/(b^3*(b*c - a*d)^4) - (c^3*(3*b^2*c^2 - 10*a*b*c*d + 10*a^2*d^2)*Log[c + d*x])/(d^4*(b*c - a*d)^4)","A",2,1,18,0.05556,1,"{88}"
293,1,164,0,0.1785626,"\int \frac{x^4}{(a+b x)^2 (c+d x)^3} \, dx","Int[x^4/((a + b*x)^2*(c + d*x)^3),x]","\frac{c^2 \left(6 a^2 d^2-4 a b c d+b^2 c^2\right) \log (c+d x)}{d^3 (b c-a d)^4}-\frac{a^4}{b^2 (a+b x) (b c-a d)^3}-\frac{a^3 (4 b c-a d) \log (a+b x)}{b^2 (b c-a d)^4}+\frac{2 c^3 (b c-2 a d)}{d^3 (c+d x) (b c-a d)^3}-\frac{c^4}{2 d^3 (c+d x)^2 (b c-a d)^2}","\frac{c^2 \left(6 a^2 d^2-4 a b c d+b^2 c^2\right) \log (c+d x)}{d^3 (b c-a d)^4}-\frac{a^4}{b^2 (a+b x) (b c-a d)^3}-\frac{a^3 (4 b c-a d) \log (a+b x)}{b^2 (b c-a d)^4}+\frac{2 c^3 (b c-2 a d)}{d^3 (c+d x) (b c-a d)^3}-\frac{c^4}{2 d^3 (c+d x)^2 (b c-a d)^2}",1,"-(a^4/(b^2*(b*c - a*d)^3*(a + b*x))) - c^4/(2*d^3*(b*c - a*d)^2*(c + d*x)^2) + (2*c^3*(b*c - 2*a*d))/(d^3*(b*c - a*d)^3*(c + d*x)) - (a^3*(4*b*c - a*d)*Log[a + b*x])/(b^2*(b*c - a*d)^4) + (c^2*(b^2*c^2 - 4*a*b*c*d + 6*a^2*d^2)*Log[c + d*x])/(d^3*(b*c - a*d)^4)","A",2,1,18,0.05556,1,"{88}"
294,1,129,0,0.1310831,"\int \frac{x^3}{(a+b x)^2 (c+d x)^3} \, dx","Int[x^3/((a + b*x)^2*(c + d*x)^3),x]","\frac{a^3}{b (a+b x) (b c-a d)^3}+\frac{3 a^2 c \log (a+b x)}{(b c-a d)^4}-\frac{3 a^2 c \log (c+d x)}{(b c-a d)^4}-\frac{c^2 (b c-3 a d)}{d^2 (c+d x) (b c-a d)^3}+\frac{c^3}{2 d^2 (c+d x)^2 (b c-a d)^2}","\frac{a^3}{b (a+b x) (b c-a d)^3}+\frac{3 a^2 c \log (a+b x)}{(b c-a d)^4}-\frac{3 a^2 c \log (c+d x)}{(b c-a d)^4}-\frac{c^2 (b c-3 a d)}{d^2 (c+d x) (b c-a d)^3}+\frac{c^3}{2 d^2 (c+d x)^2 (b c-a d)^2}",1,"a^3/(b*(b*c - a*d)^3*(a + b*x)) + c^3/(2*d^2*(b*c - a*d)^2*(c + d*x)^2) - (c^2*(b*c - 3*a*d))/(d^2*(b*c - a*d)^3*(c + d*x)) + (3*a^2*c*Log[a + b*x])/(b*c - a*d)^4 - (3*a^2*c*Log[c + d*x])/(b*c - a*d)^4","A",2,1,18,0.05556,1,"{88}"
295,1,124,0,0.1033376,"\int \frac{x^2}{(a+b x)^2 (c+d x)^3} \, dx","Int[x^2/((a + b*x)^2*(c + d*x)^3),x]","-\frac{a^2}{(a+b x) (b c-a d)^3}-\frac{c^2}{2 d (c+d x)^2 (b c-a d)^2}-\frac{2 a c}{(c+d x) (b c-a d)^3}-\frac{a (a d+2 b c) \log (a+b x)}{(b c-a d)^4}+\frac{a (a d+2 b c) \log (c+d x)}{(b c-a d)^4}","-\frac{a^2}{(a+b x) (b c-a d)^3}-\frac{c^2}{2 d (c+d x)^2 (b c-a d)^2}-\frac{2 a c}{(c+d x) (b c-a d)^3}-\frac{a (a d+2 b c) \log (a+b x)}{(b c-a d)^4}+\frac{a (a d+2 b c) \log (c+d x)}{(b c-a d)^4}",1,"-(a^2/((b*c - a*d)^3*(a + b*x))) - c^2/(2*d*(b*c - a*d)^2*(c + d*x)^2) - (2*a*c)/((b*c - a*d)^3*(c + d*x)) - (a*(2*b*c + a*d)*Log[a + b*x])/(b*c - a*d)^4 + (a*(2*b*c + a*d)*Log[c + d*x])/(b*c - a*d)^4","A",2,1,18,0.05556,1,"{88}"
296,1,121,0,0.1016826,"\int \frac{x}{(a+b x)^2 (c+d x)^3} \, dx","Int[x/((a + b*x)^2*(c + d*x)^3),x]","\frac{a b}{(a+b x) (b c-a d)^3}+\frac{a d+b c}{(c+d x) (b c-a d)^3}+\frac{c}{2 (c+d x)^2 (b c-a d)^2}+\frac{b (2 a d+b c) \log (a+b x)}{(b c-a d)^4}-\frac{b (2 a d+b c) \log (c+d x)}{(b c-a d)^4}","\frac{a b}{(a+b x) (b c-a d)^3}+\frac{a d+b c}{(c+d x) (b c-a d)^3}+\frac{c}{2 (c+d x)^2 (b c-a d)^2}+\frac{b (2 a d+b c) \log (a+b x)}{(b c-a d)^4}-\frac{b (2 a d+b c) \log (c+d x)}{(b c-a d)^4}",1,"(a*b)/((b*c - a*d)^3*(a + b*x)) + c/(2*(b*c - a*d)^2*(c + d*x)^2) + (b*c + a*d)/((b*c - a*d)^3*(c + d*x)) + (b*(b*c + 2*a*d)*Log[a + b*x])/(b*c - a*d)^4 - (b*(b*c + 2*a*d)*Log[c + d*x])/(b*c - a*d)^4","A",2,1,16,0.06250,1,"{77}"
297,1,110,0,0.0672326,"\int \frac{1}{(a+b x)^2 (c+d x)^3} \, dx","Int[1/((a + b*x)^2*(c + d*x)^3),x]","-\frac{b^2}{(a+b x) (b c-a d)^3}-\frac{3 b^2 d \log (a+b x)}{(b c-a d)^4}+\frac{3 b^2 d \log (c+d x)}{(b c-a d)^4}-\frac{2 b d}{(c+d x) (b c-a d)^3}-\frac{d}{2 (c+d x)^2 (b c-a d)^2}","-\frac{b^2}{(a+b x) (b c-a d)^3}-\frac{3 b^2 d \log (a+b x)}{(b c-a d)^4}+\frac{3 b^2 d \log (c+d x)}{(b c-a d)^4}-\frac{2 b d}{(c+d x) (b c-a d)^3}-\frac{d}{2 (c+d x)^2 (b c-a d)^2}",1,"-(b^2/((b*c - a*d)^3*(a + b*x))) - d/(2*(b*c - a*d)^2*(c + d*x)^2) - (2*b*d)/((b*c - a*d)^3*(c + d*x)) - (3*b^2*d*Log[a + b*x])/(b*c - a*d)^4 + (3*b^2*d*Log[c + d*x])/(b*c - a*d)^4","A",2,1,15,0.06667,1,"{44}"
298,1,172,0,0.174053,"\int \frac{1}{x (a+b x)^2 (c+d x)^3} \, dx","Int[1/(x*(a + b*x)^2*(c + d*x)^3),x]","-\frac{d^2 \left(a^2 d^2-4 a b c d+6 b^2 c^2\right) \log (c+d x)}{c^3 (b c-a d)^4}-\frac{b^3 (b c-4 a d) \log (a+b x)}{a^2 (b c-a d)^4}+\frac{\log (x)}{a^2 c^3}+\frac{b^3}{a (a+b x) (b c-a d)^3}+\frac{d^2 (3 b c-a d)}{c^2 (c+d x) (b c-a d)^3}+\frac{d^2}{2 c (c+d x)^2 (b c-a d)^2}","-\frac{d^2 \left(a^2 d^2-4 a b c d+6 b^2 c^2\right) \log (c+d x)}{c^3 (b c-a d)^4}-\frac{b^3 (b c-4 a d) \log (a+b x)}{a^2 (b c-a d)^4}+\frac{\log (x)}{a^2 c^3}+\frac{b^3}{a (a+b x) (b c-a d)^3}+\frac{d^2 (3 b c-a d)}{c^2 (c+d x) (b c-a d)^3}+\frac{d^2}{2 c (c+d x)^2 (b c-a d)^2}",1,"b^3/(a*(b*c - a*d)^3*(a + b*x)) + d^2/(2*c*(b*c - a*d)^2*(c + d*x)^2) + (d^2*(3*b*c - a*d))/(c^2*(b*c - a*d)^3*(c + d*x)) + Log[x]/(a^2*c^3) - (b^3*(b*c - 4*a*d)*Log[a + b*x])/(a^2*(b*c - a*d)^4) - (d^2*(6*b^2*c^2 - 4*a*b*c*d + a^2*d^2)*Log[c + d*x])/(c^3*(b*c - a*d)^4)","A",2,1,18,0.05556,1,"{88}"
299,1,195,0,0.231376,"\int \frac{1}{x^2 (a+b x)^2 (c+d x)^3} \, dx","Int[1/(x^2*(a + b*x)^2*(c + d*x)^3),x]","\frac{d^3 \left(3 a^2 d^2-10 a b c d+10 b^2 c^2\right) \log (c+d x)}{c^4 (b c-a d)^4}-\frac{b^4}{a^2 (a+b x) (b c-a d)^3}+\frac{b^4 (2 b c-5 a d) \log (a+b x)}{a^3 (b c-a d)^4}-\frac{\log (x) (3 a d+2 b c)}{a^3 c^4}-\frac{1}{a^2 c^3 x}-\frac{2 d^3 (2 b c-a d)}{c^3 (c+d x) (b c-a d)^3}-\frac{d^3}{2 c^2 (c+d x)^2 (b c-a d)^2}","\frac{d^3 \left(3 a^2 d^2-10 a b c d+10 b^2 c^2\right) \log (c+d x)}{c^4 (b c-a d)^4}-\frac{b^4}{a^2 (a+b x) (b c-a d)^3}+\frac{b^4 (2 b c-5 a d) \log (a+b x)}{a^3 (b c-a d)^4}-\frac{\log (x) (3 a d+2 b c)}{a^3 c^4}-\frac{1}{a^2 c^3 x}-\frac{2 d^3 (2 b c-a d)}{c^3 (c+d x) (b c-a d)^3}-\frac{d^3}{2 c^2 (c+d x)^2 (b c-a d)^2}",1,"-(1/(a^2*c^3*x)) - b^4/(a^2*(b*c - a*d)^3*(a + b*x)) - d^3/(2*c^2*(b*c - a*d)^2*(c + d*x)^2) - (2*d^3*(2*b*c - a*d))/(c^3*(b*c - a*d)^3*(c + d*x)) - ((2*b*c + 3*a*d)*Log[x])/(a^3*c^4) + (b^4*(2*b*c - 5*a*d)*Log[a + b*x])/(a^3*(b*c - a*d)^4) + (d^3*(10*b^2*c^2 - 10*a*b*c*d + 3*a^2*d^2)*Log[c + d*x])/(c^4*(b*c - a*d)^4)","A",2,1,18,0.05556,1,"{88}"
300,1,228,0,0.2904792,"\int \frac{1}{x^3 (a+b x)^2 (c+d x)^3} \, dx","Int[1/(x^3*(a + b*x)^2*(c + d*x)^3),x]","\frac{3 \log (x) \left(2 a^2 d^2+2 a b c d+b^2 c^2\right)}{a^4 c^5}-\frac{3 d^4 \left(2 a^2 d^2-6 a b c d+5 b^2 c^2\right) \log (c+d x)}{c^5 (b c-a d)^4}+\frac{b^5}{a^3 (a+b x) (b c-a d)^3}-\frac{3 b^5 (b c-2 a d) \log (a+b x)}{a^4 (b c-a d)^4}+\frac{3 a d+2 b c}{a^3 c^4 x}-\frac{1}{2 a^2 c^3 x^2}+\frac{d^4 (5 b c-3 a d)}{c^4 (c+d x) (b c-a d)^3}+\frac{d^4}{2 c^3 (c+d x)^2 (b c-a d)^2}","\frac{3 \log (x) \left(2 a^2 d^2+2 a b c d+b^2 c^2\right)}{a^4 c^5}-\frac{3 d^4 \left(2 a^2 d^2-6 a b c d+5 b^2 c^2\right) \log (c+d x)}{c^5 (b c-a d)^4}+\frac{b^5}{a^3 (a+b x) (b c-a d)^3}-\frac{3 b^5 (b c-2 a d) \log (a+b x)}{a^4 (b c-a d)^4}+\frac{3 a d+2 b c}{a^3 c^4 x}-\frac{1}{2 a^2 c^3 x^2}+\frac{d^4 (5 b c-3 a d)}{c^4 (c+d x) (b c-a d)^3}+\frac{d^4}{2 c^3 (c+d x)^2 (b c-a d)^2}",1,"-1/(2*a^2*c^3*x^2) + (2*b*c + 3*a*d)/(a^3*c^4*x) + b^5/(a^3*(b*c - a*d)^3*(a + b*x)) + d^4/(2*c^3*(b*c - a*d)^2*(c + d*x)^2) + (d^4*(5*b*c - 3*a*d))/(c^4*(b*c - a*d)^3*(c + d*x)) + (3*(b^2*c^2 + 2*a*b*c*d + 2*a^2*d^2)*Log[x])/(a^4*c^5) - (3*b^5*(b*c - 2*a*d)*Log[a + b*x])/(a^4*(b*c - a*d)^4) - (3*d^4*(5*b^2*c^2 - 6*a*b*c*d + 2*a^2*d^2)*Log[c + d*x])/(c^5*(b*c - a*d)^4)","A",2,1,18,0.05556,1,"{88}"
301,1,196,0,0.2350186,"\int \frac{x^3 (c+d x)^3}{(a+b x)^3} \, dx","Int[(x^3*(c + d*x)^3)/(a + b*x)^3,x]","\frac{x (b c-a d) \left(10 a^2 d^2-8 a b c d+b^2 c^2\right)}{b^6}-\frac{3 a (b c-a d) \left(5 a^2 d^2-5 a b c d+b^2 c^2\right) \log (a+b x)}{b^7}-\frac{3 a^2 (b c-2 a d) (b c-a d)^2}{b^7 (a+b x)}+\frac{a^3 (b c-a d)^3}{2 b^7 (a+b x)^2}+\frac{d^2 x^3 (b c-a d)}{b^4}+\frac{3 d x^2 (b c-2 a d) (b c-a d)}{2 b^5}+\frac{d^3 x^4}{4 b^3}","\frac{x (b c-a d) \left(10 a^2 d^2-8 a b c d+b^2 c^2\right)}{b^6}-\frac{3 a (b c-a d) \left(5 a^2 d^2-5 a b c d+b^2 c^2\right) \log (a+b x)}{b^7}-\frac{3 a^2 (b c-2 a d) (b c-a d)^2}{b^7 (a+b x)}+\frac{a^3 (b c-a d)^3}{2 b^7 (a+b x)^2}+\frac{d^2 x^3 (b c-a d)}{b^4}+\frac{3 d x^2 (b c-2 a d) (b c-a d)}{2 b^5}+\frac{d^3 x^4}{4 b^3}",1,"((b*c - a*d)*(b^2*c^2 - 8*a*b*c*d + 10*a^2*d^2)*x)/b^6 + (3*d*(b*c - 2*a*d)*(b*c - a*d)*x^2)/(2*b^5) + (d^2*(b*c - a*d)*x^3)/b^4 + (d^3*x^4)/(4*b^3) + (a^3*(b*c - a*d)^3)/(2*b^7*(a + b*x)^2) - (3*a^2*(b*c - 2*a*d)*(b*c - a*d)^2)/(b^7*(a + b*x)) - (3*a*(b*c - a*d)*(b^2*c^2 - 5*a*b*c*d + 5*a^2*d^2)*Log[a + b*x])/b^7","A",2,1,18,0.05556,1,"{88}"
302,1,156,0,0.1529304,"\int \frac{x^2 (c+d x)^3}{(a+b x)^3} \, dx","Int[(x^2*(c + d*x)^3)/(a + b*x)^3,x]","\frac{\left(10 a^2 d^2-8 a b c d+b^2 c^2\right) (b c-a d) \log (a+b x)}{b^6}-\frac{a^2 (b c-a d)^3}{2 b^6 (a+b x)^2}+\frac{3 d^2 x^2 (b c-a d)}{2 b^4}+\frac{a (2 b c-5 a d) (b c-a d)^2}{b^6 (a+b x)}+\frac{3 d x (b c-2 a d) (b c-a d)}{b^5}+\frac{d^3 x^3}{3 b^3}","\frac{\left(10 a^2 d^2-8 a b c d+b^2 c^2\right) (b c-a d) \log (a+b x)}{b^6}-\frac{a^2 (b c-a d)^3}{2 b^6 (a+b x)^2}+\frac{3 d^2 x^2 (b c-a d)}{2 b^4}+\frac{a (2 b c-5 a d) (b c-a d)^2}{b^6 (a+b x)}+\frac{3 d x (b c-2 a d) (b c-a d)}{b^5}+\frac{d^3 x^3}{3 b^3}",1,"(3*d*(b*c - 2*a*d)*(b*c - a*d)*x)/b^5 + (3*d^2*(b*c - a*d)*x^2)/(2*b^4) + (d^3*x^3)/(3*b^3) - (a^2*(b*c - a*d)^3)/(2*b^6*(a + b*x)^2) + (a*(2*b*c - 5*a*d)*(b*c - a*d)^2)/(b^6*(a + b*x)) + ((b*c - a*d)*(b^2*c^2 - 8*a*b*c*d + 10*a^2*d^2)*Log[a + b*x])/b^6","A",2,1,18,0.05556,1,"{88}"
303,1,114,0,0.1064108,"\int \frac{x (c+d x)^3}{(a+b x)^3} \, dx","Int[(x*(c + d*x)^3)/(a + b*x)^3,x]","\frac{3 d^2 x (b c-a d)}{b^4}-\frac{(b c-4 a d) (b c-a d)^2}{b^5 (a+b x)}+\frac{a (b c-a d)^3}{2 b^5 (a+b x)^2}+\frac{3 d (b c-2 a d) (b c-a d) \log (a+b x)}{b^5}+\frac{d^3 x^2}{2 b^3}","\frac{3 d^2 x (b c-a d)}{b^4}-\frac{(b c-4 a d) (b c-a d)^2}{b^5 (a+b x)}+\frac{a (b c-a d)^3}{2 b^5 (a+b x)^2}+\frac{3 d (b c-2 a d) (b c-a d) \log (a+b x)}{b^5}+\frac{d^3 x^2}{2 b^3}",1,"(3*d^2*(b*c - a*d)*x)/b^4 + (d^3*x^2)/(2*b^3) + (a*(b*c - a*d)^3)/(2*b^5*(a + b*x)^2) - ((b*c - 4*a*d)*(b*c - a*d)^2)/(b^5*(a + b*x)) + (3*d*(b*c - 2*a*d)*(b*c - a*d)*Log[a + b*x])/b^5","A",2,1,16,0.06250,1,"{77}"
304,1,78,0,0.0601591,"\int \frac{(c+d x)^3}{(a+b x)^3} \, dx","Int[(c + d*x)^3/(a + b*x)^3,x]","\frac{3 d^2 (b c-a d) \log (a+b x)}{b^4}-\frac{3 d (b c-a d)^2}{b^4 (a+b x)}-\frac{(b c-a d)^3}{2 b^4 (a+b x)^2}+\frac{d^3 x}{b^3}","\frac{3 d^2 (b c-a d) \log (a+b x)}{b^4}-\frac{3 d (b c-a d)^2}{b^4 (a+b x)}-\frac{(b c-a d)^3}{2 b^4 (a+b x)^2}+\frac{d^3 x}{b^3}",1,"(d^3*x)/b^3 - (b*c - a*d)^3/(2*b^4*(a + b*x)^2) - (3*d*(b*c - a*d)^2)/(b^4*(a + b*x)) + (3*d^2*(b*c - a*d)*Log[a + b*x])/b^4","A",2,1,15,0.06667,1,"{43}"
305,1,93,0,0.0747503,"\int \frac{(c+d x)^3}{x (a+b x)^3} \, dx","Int[(c + d*x)^3/(x*(a + b*x)^3),x]","-\left(\frac{c^3}{a^3}-\frac{d^3}{b^3}\right) \log (a+b x)+\frac{(b c-a d)^2 (2 a d+b c)}{a^2 b^3 (a+b x)}+\frac{c^3 \log (x)}{a^3}+\frac{(b c-a d)^3}{2 a b^3 (a+b x)^2}","-\left(\frac{c^3}{a^3}-\frac{d^3}{b^3}\right) \log (a+b x)+\frac{(b c-a d)^2 (2 a d+b c)}{a^2 b^3 (a+b x)}+\frac{c^3 \log (x)}{a^3}+\frac{(b c-a d)^3}{2 a b^3 (a+b x)^2}",1,"(b*c - a*d)^3/(2*a*b^3*(a + b*x)^2) + ((b*c - a*d)^2*(b*c + 2*a*d))/(a^2*b^3*(a + b*x)) + (c^3*Log[x])/a^3 - (c^3/a^3 - d^3/b^3)*Log[a + b*x]","A",2,1,18,0.05556,1,"{88}"
306,1,112,0,0.0915244,"\int \frac{(c+d x)^3}{x^2 (a+b x)^3} \, dx","Int[(c + d*x)^3/(x^2*(a + b*x)^3),x]","-\frac{(b c-a d)^2 (a d+2 b c)}{a^3 b^2 (a+b x)}-\frac{(b c-a d)^3}{2 a^2 b^2 (a+b x)^2}-\frac{3 c^2 \log (x) (b c-a d)}{a^4}+\frac{3 c^2 (b c-a d) \log (a+b x)}{a^4}-\frac{c^3}{a^3 x}","-\frac{(b c-a d)^2 (a d+2 b c)}{a^3 b^2 (a+b x)}-\frac{(b c-a d)^3}{2 a^2 b^2 (a+b x)^2}-\frac{3 c^2 \log (x) (b c-a d)}{a^4}+\frac{3 c^2 (b c-a d) \log (a+b x)}{a^4}-\frac{c^3}{a^3 x}",1,"-(c^3/(a^3*x)) - (b*c - a*d)^3/(2*a^2*b^2*(a + b*x)^2) - ((b*c - a*d)^2*(2*b*c + a*d))/(a^3*b^2*(a + b*x)) - (3*c^2*(b*c - a*d)*Log[x])/a^4 + (3*c^2*(b*c - a*d)*Log[a + b*x])/a^4","A",2,1,18,0.05556,1,"{88}"
307,1,137,0,0.1366645,"\int \frac{(c+d x)^3}{x^3 (a+b x)^3} \, dx","Int[(c + d*x)^3/(x^3*(a + b*x)^3),x]","\frac{3 c^2 (b c-a d)}{a^4 x}+\frac{3 c (b c-a d)^2}{a^4 (a+b x)}+\frac{(b c-a d)^3}{2 a^3 b (a+b x)^2}+\frac{3 c \log (x) (b c-a d) (2 b c-a d)}{a^5}-\frac{3 c (b c-a d) (2 b c-a d) \log (a+b x)}{a^5}-\frac{c^3}{2 a^3 x^2}","\frac{3 c^2 (b c-a d)}{a^4 x}+\frac{3 c (b c-a d)^2}{a^4 (a+b x)}+\frac{(b c-a d)^3}{2 a^3 b (a+b x)^2}+\frac{3 c \log (x) (b c-a d) (2 b c-a d)}{a^5}-\frac{3 c (b c-a d) (2 b c-a d) \log (a+b x)}{a^5}-\frac{c^3}{2 a^3 x^2}",1,"-c^3/(2*a^3*x^2) + (3*c^2*(b*c - a*d))/(a^4*x) + (b*c - a*d)^3/(2*a^3*b*(a + b*x)^2) + (3*c*(b*c - a*d)^2)/(a^4*(a + b*x)) + (3*c*(b*c - a*d)*(2*b*c - a*d)*Log[x])/a^5 - (3*c*(b*c - a*d)*(2*b*c - a*d)*Log[a + b*x])/a^5","A",2,1,18,0.05556,1,"{88}"
308,1,193,0,0.1805767,"\int \frac{(c+d x)^3}{x^4 (a+b x)^3} \, dx","Int[(c + d*x)^3/(x^4*(a + b*x)^3),x]","-\frac{\log (x) (b c-a d) \left(a^2 d^2-8 a b c d+10 b^2 c^2\right)}{a^6}+\frac{(b c-a d) \left(a^2 d^2-8 a b c d+10 b^2 c^2\right) \log (a+b x)}{a^6}+\frac{3 c^2 (b c-a d)}{2 a^4 x^2}-\frac{3 c (b c-a d) (2 b c-a d)}{a^5 x}-\frac{(b c-a d)^2 (4 b c-a d)}{a^5 (a+b x)}-\frac{(b c-a d)^3}{2 a^4 (a+b x)^2}-\frac{c^3}{3 a^3 x^3}","-\frac{\log (x) (b c-a d) \left(a^2 d^2-8 a b c d+10 b^2 c^2\right)}{a^6}+\frac{(b c-a d) \left(a^2 d^2-8 a b c d+10 b^2 c^2\right) \log (a+b x)}{a^6}+\frac{3 c^2 (b c-a d)}{2 a^4 x^2}-\frac{3 c (b c-a d) (2 b c-a d)}{a^5 x}-\frac{(b c-a d)^2 (4 b c-a d)}{a^5 (a+b x)}-\frac{(b c-a d)^3}{2 a^4 (a+b x)^2}-\frac{c^3}{3 a^3 x^3}",1,"-c^3/(3*a^3*x^3) + (3*c^2*(b*c - a*d))/(2*a^4*x^2) - (3*c*(b*c - a*d)*(2*b*c - a*d))/(a^5*x) - (b*c - a*d)^3/(2*a^4*(a + b*x)^2) - ((b*c - a*d)^2*(4*b*c - a*d))/(a^5*(a + b*x)) - ((b*c - a*d)*(10*b^2*c^2 - 8*a*b*c*d + a^2*d^2)*Log[x])/a^6 + ((b*c - a*d)*(10*b^2*c^2 - 8*a*b*c*d + a^2*d^2)*Log[a + b*x])/a^6","A",2,1,18,0.05556,1,"{88}"
309,1,245,0,0.3946423,"\int \frac{x^7}{(a+b x)^3 (c+d x)^3} \, dx","Int[x^7/((a + b*x)^3*(c + d*x)^3),x]","-\frac{3 a^5 \left(2 a^2 d^2-7 a b c d+7 b^2 c^2\right) \log (a+b x)}{b^5 (b c-a d)^5}+\frac{3 c^5 \left(7 a^2 d^2-7 a b c d+2 b^2 c^2\right) \log (c+d x)}{d^5 (b c-a d)^5}+\frac{a^7}{2 b^5 (a+b x)^2 (b c-a d)^3}-\frac{a^6 (7 b c-4 a d)}{b^5 (a+b x) (b c-a d)^4}-\frac{3 x (a d+b c)}{b^4 d^4}+\frac{c^6 (4 b c-7 a d)}{d^5 (c+d x) (b c-a d)^4}-\frac{c^7}{2 d^5 (c+d x)^2 (b c-a d)^3}+\frac{x^2}{2 b^3 d^3}","-\frac{3 a^5 \left(2 a^2 d^2-7 a b c d+7 b^2 c^2\right) \log (a+b x)}{b^5 (b c-a d)^5}+\frac{3 c^5 \left(7 a^2 d^2-7 a b c d+2 b^2 c^2\right) \log (c+d x)}{d^5 (b c-a d)^5}+\frac{a^7}{2 b^5 (a+b x)^2 (b c-a d)^3}-\frac{a^6 (7 b c-4 a d)}{b^5 (a+b x) (b c-a d)^4}-\frac{3 x (a d+b c)}{b^4 d^4}+\frac{c^6 (4 b c-7 a d)}{d^5 (c+d x) (b c-a d)^4}-\frac{c^7}{2 d^5 (c+d x)^2 (b c-a d)^3}+\frac{x^2}{2 b^3 d^3}",1,"(-3*(b*c + a*d)*x)/(b^4*d^4) + x^2/(2*b^3*d^3) + a^7/(2*b^5*(b*c - a*d)^3*(a + b*x)^2) - (a^6*(7*b*c - 4*a*d))/(b^5*(b*c - a*d)^4*(a + b*x)) - c^7/(2*d^5*(b*c - a*d)^3*(c + d*x)^2) + (c^6*(4*b*c - 7*a*d))/(d^5*(b*c - a*d)^4*(c + d*x)) - (3*a^5*(7*b^2*c^2 - 7*a*b*c*d + 2*a^2*d^2)*Log[a + b*x])/(b^5*(b*c - a*d)^5) + (3*c^5*(2*b^2*c^2 - 7*a*b*c*d + 7*a^2*d^2)*Log[c + d*x])/(d^5*(b*c - a*d)^5)","A",2,1,18,0.05556,1,"{88}"
310,1,222,0,0.2846534,"\int \frac{x^6}{(a+b x)^3 (c+d x)^3} \, dx","Int[x^6/((a + b*x)^3*(c + d*x)^3),x]","\frac{3 a^4 \left(a^2 d^2-4 a b c d+5 b^2 c^2\right) \log (a+b x)}{b^4 (b c-a d)^5}-\frac{3 c^4 \left(5 a^2 d^2-4 a b c d+b^2 c^2\right) \log (c+d x)}{d^4 (b c-a d)^5}-\frac{a^6}{2 b^4 (a+b x)^2 (b c-a d)^3}+\frac{3 a^5 (2 b c-a d)}{b^4 (a+b x) (b c-a d)^4}-\frac{3 c^5 (b c-2 a d)}{d^4 (c+d x) (b c-a d)^4}+\frac{c^6}{2 d^4 (c+d x)^2 (b c-a d)^3}+\frac{x}{b^3 d^3}","\frac{3 a^4 \left(a^2 d^2-4 a b c d+5 b^2 c^2\right) \log (a+b x)}{b^4 (b c-a d)^5}-\frac{3 c^4 \left(5 a^2 d^2-4 a b c d+b^2 c^2\right) \log (c+d x)}{d^4 (b c-a d)^5}-\frac{a^6}{2 b^4 (a+b x)^2 (b c-a d)^3}+\frac{3 a^5 (2 b c-a d)}{b^4 (a+b x) (b c-a d)^4}-\frac{3 c^5 (b c-2 a d)}{d^4 (c+d x) (b c-a d)^4}+\frac{c^6}{2 d^4 (c+d x)^2 (b c-a d)^3}+\frac{x}{b^3 d^3}",1,"x/(b^3*d^3) - a^6/(2*b^4*(b*c - a*d)^3*(a + b*x)^2) + (3*a^5*(2*b*c - a*d))/(b^4*(b*c - a*d)^4*(a + b*x)) + c^6/(2*d^4*(b*c - a*d)^3*(c + d*x)^2) - (3*c^5*(b*c - 2*a*d))/(d^4*(b*c - a*d)^4*(c + d*x)) + (3*a^4*(5*b^2*c^2 - 4*a*b*c*d + a^2*d^2)*Log[a + b*x])/(b^4*(b*c - a*d)^5) - (3*c^4*(b^2*c^2 - 4*a*b*c*d + 5*a^2*d^2)*Log[c + d*x])/(d^4*(b*c - a*d)^5)","A",2,1,18,0.05556,1,"{88}"
311,1,213,0,0.2672188,"\int \frac{x^5}{(a+b x)^3 (c+d x)^3} \, dx","Int[x^5/((a + b*x)^3*(c + d*x)^3),x]","-\frac{a^3 \left(a^2 d^2-5 a b c d+10 b^2 c^2\right) \log (a+b x)}{b^3 (b c-a d)^5}+\frac{c^3 \left(10 a^2 d^2-5 a b c d+b^2 c^2\right) \log (c+d x)}{d^3 (b c-a d)^5}+\frac{a^5}{2 b^3 (a+b x)^2 (b c-a d)^3}-\frac{a^4 (5 b c-2 a d)}{b^3 (a+b x) (b c-a d)^4}+\frac{c^4 (2 b c-5 a d)}{d^3 (c+d x) (b c-a d)^4}-\frac{c^5}{2 d^3 (c+d x)^2 (b c-a d)^3}","-\frac{a^3 \left(a^2 d^2-5 a b c d+10 b^2 c^2\right) \log (a+b x)}{b^3 (b c-a d)^5}+\frac{c^3 \left(10 a^2 d^2-5 a b c d+b^2 c^2\right) \log (c+d x)}{d^3 (b c-a d)^5}+\frac{a^5}{2 b^3 (a+b x)^2 (b c-a d)^3}-\frac{a^4 (5 b c-2 a d)}{b^3 (a+b x) (b c-a d)^4}+\frac{c^4 (2 b c-5 a d)}{d^3 (c+d x) (b c-a d)^4}-\frac{c^5}{2 d^3 (c+d x)^2 (b c-a d)^3}",1,"a^5/(2*b^3*(b*c - a*d)^3*(a + b*x)^2) - (a^4*(5*b*c - 2*a*d))/(b^3*(b*c - a*d)^4*(a + b*x)) - c^5/(2*d^3*(b*c - a*d)^3*(c + d*x)^2) + (c^4*(2*b*c - 5*a*d))/(d^3*(b*c - a*d)^4*(c + d*x)) - (a^3*(10*b^2*c^2 - 5*a*b*c*d + a^2*d^2)*Log[a + b*x])/(b^3*(b*c - a*d)^5) + (c^3*(b^2*c^2 - 5*a*b*c*d + 10*a^2*d^2)*Log[c + d*x])/(d^3*(b*c - a*d)^5)","A",2,1,18,0.05556,1,"{88}"
312,1,169,0,0.1919258,"\int \frac{x^4}{(a+b x)^3 (c+d x)^3} \, dx","Int[x^4/((a + b*x)^3*(c + d*x)^3),x]","-\frac{a^4}{2 b^2 (a+b x)^2 (b c-a d)^3}+\frac{a^3 (4 b c-a d)}{b^2 (a+b x) (b c-a d)^4}+\frac{6 a^2 c^2 \log (a+b x)}{(b c-a d)^5}-\frac{6 a^2 c^2 \log (c+d x)}{(b c-a d)^5}-\frac{c^3 (b c-4 a d)}{d^2 (c+d x) (b c-a d)^4}+\frac{c^4}{2 d^2 (c+d x)^2 (b c-a d)^3}","-\frac{a^4}{2 b^2 (a+b x)^2 (b c-a d)^3}+\frac{a^3 (4 b c-a d)}{b^2 (a+b x) (b c-a d)^4}+\frac{6 a^2 c^2 \log (a+b x)}{(b c-a d)^5}-\frac{6 a^2 c^2 \log (c+d x)}{(b c-a d)^5}-\frac{c^3 (b c-4 a d)}{d^2 (c+d x) (b c-a d)^4}+\frac{c^4}{2 d^2 (c+d x)^2 (b c-a d)^3}",1,"-a^4/(2*b^2*(b*c - a*d)^3*(a + b*x)^2) + (a^3*(4*b*c - a*d))/(b^2*(b*c - a*d)^4*(a + b*x)) + c^4/(2*d^2*(b*c - a*d)^3*(c + d*x)^2) - (c^3*(b*c - 4*a*d))/(d^2*(b*c - a*d)^4*(c + d*x)) + (6*a^2*c^2*Log[a + b*x])/(b*c - a*d)^5 - (6*a^2*c^2*Log[c + d*x])/(b*c - a*d)^5","A",2,1,18,0.05556,1,"{88}"
313,1,155,0,0.2238926,"\int \frac{x^3}{(a+b x)^3 (c+d x)^3} \, dx","Int[x^3/((a + b*x)^3*(c + d*x)^3),x]","\frac{a^3}{2 b (a+b x)^2 (b c-a d)^3}-\frac{3 a^2 c}{(a+b x) (b c-a d)^4}-\frac{3 a c^2}{(c+d x) (b c-a d)^4}-\frac{c^3}{2 d (c+d x)^2 (b c-a d)^3}-\frac{3 a c (a d+b c) \log (a+b x)}{(b c-a d)^5}+\frac{3 a c (a d+b c) \log (c+d x)}{(b c-a d)^5}","\frac{a^3}{2 b (a+b x)^2 (b c-a d)^3}-\frac{3 a^2 c}{(a+b x) (b c-a d)^4}-\frac{3 a c^2}{(c+d x) (b c-a d)^4}-\frac{c^3}{2 d (c+d x)^2 (b c-a d)^3}-\frac{3 a c (a d+b c) \log (a+b x)}{(b c-a d)^5}+\frac{3 a c (a d+b c) \log (c+d x)}{(b c-a d)^5}",1,"a^3/(2*b*(b*c - a*d)^3*(a + b*x)^2) - (3*a^2*c)/((b*c - a*d)^4*(a + b*x)) - c^3/(2*d*(b*c - a*d)^3*(c + d*x)^2) - (3*a*c^2)/((b*c - a*d)^4*(c + d*x)) - (3*a*c*(b*c + a*d)*Log[a + b*x])/(b*c - a*d)^5 + (3*a*c*(b*c + a*d)*Log[c + d*x])/(b*c - a*d)^5","A",2,1,18,0.05556,1,"{88}"
314,1,180,0,0.1862146,"\int \frac{x^2}{(a+b x)^3 (c+d x)^3} \, dx","Int[x^2/((a + b*x)^3*(c + d*x)^3),x]","\frac{\left(a^2 d^2+4 a b c d+b^2 c^2\right) \log (a+b x)}{(b c-a d)^5}-\frac{\left(a^2 d^2+4 a b c d+b^2 c^2\right) \log (c+d x)}{(b c-a d)^5}-\frac{a^2}{2 (a+b x)^2 (b c-a d)^3}+\frac{c^2}{2 (c+d x)^2 (b c-a d)^3}+\frac{a (a d+2 b c)}{(a+b x) (b c-a d)^4}+\frac{c (2 a d+b c)}{(c+d x) (b c-a d)^4}","\frac{\left(a^2 d^2+4 a b c d+b^2 c^2\right) \log (a+b x)}{(b c-a d)^5}-\frac{\left(a^2 d^2+4 a b c d+b^2 c^2\right) \log (c+d x)}{(b c-a d)^5}-\frac{a^2}{2 (a+b x)^2 (b c-a d)^3}+\frac{c^2}{2 (c+d x)^2 (b c-a d)^3}+\frac{a (a d+2 b c)}{(a+b x) (b c-a d)^4}+\frac{c (2 a d+b c)}{(c+d x) (b c-a d)^4}",1,"-a^2/(2*(b*c - a*d)^3*(a + b*x)^2) + (a*(2*b*c + a*d))/((b*c - a*d)^4*(a + b*x)) + c^2/(2*(b*c - a*d)^3*(c + d*x)^2) + (c*(b*c + 2*a*d))/((b*c - a*d)^4*(c + d*x)) + ((b^2*c^2 + 4*a*b*c*d + a^2*d^2)*Log[a + b*x])/(b*c - a*d)^5 - ((b^2*c^2 + 4*a*b*c*d + a^2*d^2)*Log[c + d*x])/(b*c - a*d)^5","A",2,1,18,0.05556,1,"{88}"
315,1,157,0,0.147473,"\int \frac{x}{(a+b x)^3 (c+d x)^3} \, dx","Int[x/((a + b*x)^3*(c + d*x)^3),x]","-\frac{b (2 a d+b c)}{(a+b x) (b c-a d)^4}+\frac{a b}{2 (a+b x)^2 (b c-a d)^3}-\frac{d (a d+2 b c)}{(c+d x) (b c-a d)^4}-\frac{c d}{2 (c+d x)^2 (b c-a d)^3}-\frac{3 b d (a d+b c) \log (a+b x)}{(b c-a d)^5}+\frac{3 b d (a d+b c) \log (c+d x)}{(b c-a d)^5}","-\frac{b (2 a d+b c)}{(a+b x) (b c-a d)^4}+\frac{a b}{2 (a+b x)^2 (b c-a d)^3}-\frac{d (a d+2 b c)}{(c+d x) (b c-a d)^4}-\frac{c d}{2 (c+d x)^2 (b c-a d)^3}-\frac{3 b d (a d+b c) \log (a+b x)}{(b c-a d)^5}+\frac{3 b d (a d+b c) \log (c+d x)}{(b c-a d)^5}",1,"(a*b)/(2*(b*c - a*d)^3*(a + b*x)^2) - (b*(b*c + 2*a*d))/((b*c - a*d)^4*(a + b*x)) - (c*d)/(2*(b*c - a*d)^3*(c + d*x)^2) - (d*(2*b*c + a*d))/((b*c - a*d)^4*(c + d*x)) - (3*b*d*(b*c + a*d)*Log[a + b*x])/(b*c - a*d)^5 + (3*b*d*(b*c + a*d)*Log[c + d*x])/(b*c - a*d)^5","A",2,1,16,0.06250,1,"{77}"
316,1,143,0,0.0928198,"\int \frac{1}{(a+b x)^3 (c+d x)^3} \, dx","Int[1/((a + b*x)^3*(c + d*x)^3),x]","\frac{6 b^2 d^2 \log (a+b x)}{(b c-a d)^5}-\frac{6 b^2 d^2 \log (c+d x)}{(b c-a d)^5}+\frac{3 b^2 d}{(a+b x) (b c-a d)^4}-\frac{b^2}{2 (a+b x)^2 (b c-a d)^3}+\frac{3 b d^2}{(c+d x) (b c-a d)^4}+\frac{d^2}{2 (c+d x)^2 (b c-a d)^3}","\frac{6 b^2 d^2 \log (a+b x)}{(b c-a d)^5}-\frac{6 b^2 d^2 \log (c+d x)}{(b c-a d)^5}+\frac{3 b^2 d}{(a+b x) (b c-a d)^4}-\frac{b^2}{2 (a+b x)^2 (b c-a d)^3}+\frac{3 b d^2}{(c+d x) (b c-a d)^4}+\frac{d^2}{2 (c+d x)^2 (b c-a d)^3}",1,"-b^2/(2*(b*c - a*d)^3*(a + b*x)^2) + (3*b^2*d)/((b*c - a*d)^4*(a + b*x)) + d^2/(2*(b*c - a*d)^3*(c + d*x)^2) + (3*b*d^2)/((b*c - a*d)^4*(c + d*x)) + (6*b^2*d^2*Log[a + b*x])/(b*c - a*d)^5 - (6*b^2*d^2*Log[c + d*x])/(b*c - a*d)^5","A",2,1,15,0.06667,1,"{44}"
317,1,221,0,0.2437409,"\int \frac{1}{x (a+b x)^3 (c+d x)^3} \, dx","Int[1/(x*(a + b*x)^3*(c + d*x)^3),x]","-\frac{b^3 \left(10 a^2 d^2-5 a b c d+b^2 c^2\right) \log (a+b x)}{a^3 (b c-a d)^5}+\frac{d^3 \left(a^2 d^2-5 a b c d+10 b^2 c^2\right) \log (c+d x)}{c^3 (b c-a d)^5}+\frac{b^3 (b c-4 a d)}{a^2 (a+b x) (b c-a d)^4}+\frac{\log (x)}{a^3 c^3}+\frac{b^3}{2 a (a+b x)^2 (b c-a d)^3}-\frac{d^3 (4 b c-a d)}{c^2 (c+d x) (b c-a d)^4}-\frac{d^3}{2 c (c+d x)^2 (b c-a d)^3}","-\frac{b^3 \left(10 a^2 d^2-5 a b c d+b^2 c^2\right) \log (a+b x)}{a^3 (b c-a d)^5}+\frac{d^3 \left(a^2 d^2-5 a b c d+10 b^2 c^2\right) \log (c+d x)}{c^3 (b c-a d)^5}+\frac{b^3 (b c-4 a d)}{a^2 (a+b x) (b c-a d)^4}+\frac{\log (x)}{a^3 c^3}+\frac{b^3}{2 a (a+b x)^2 (b c-a d)^3}-\frac{d^3 (4 b c-a d)}{c^2 (c+d x) (b c-a d)^4}-\frac{d^3}{2 c (c+d x)^2 (b c-a d)^3}",1,"b^3/(2*a*(b*c - a*d)^3*(a + b*x)^2) + (b^3*(b*c - 4*a*d))/(a^2*(b*c - a*d)^4*(a + b*x)) - d^3/(2*c*(b*c - a*d)^3*(c + d*x)^2) - (d^3*(4*b*c - a*d))/(c^2*(b*c - a*d)^4*(c + d*x)) + Log[x]/(a^3*c^3) - (b^3*(b^2*c^2 - 5*a*b*c*d + 10*a^2*d^2)*Log[a + b*x])/(a^3*(b*c - a*d)^5) + (d^3*(10*b^2*c^2 - 5*a*b*c*d + a^2*d^2)*Log[c + d*x])/(c^3*(b*c - a*d)^5)","A",2,1,18,0.05556,1,"{88}"
318,1,242,0,0.3254483,"\int \frac{1}{x^2 (a+b x)^3 (c+d x)^3} \, dx","Int[1/(x^2*(a + b*x)^3*(c + d*x)^3),x]","\frac{3 b^4 \left(5 a^2 d^2-4 a b c d+b^2 c^2\right) \log (a+b x)}{a^4 (b c-a d)^5}-\frac{3 d^4 \left(a^2 d^2-4 a b c d+5 b^2 c^2\right) \log (c+d x)}{c^4 (b c-a d)^5}-\frac{b^4 (2 b c-5 a d)}{a^3 (a+b x) (b c-a d)^4}-\frac{b^4}{2 a^2 (a+b x)^2 (b c-a d)^3}-\frac{3 \log (x) (a d+b c)}{a^4 c^4}-\frac{1}{a^3 c^3 x}+\frac{d^4 (5 b c-2 a d)}{c^3 (c+d x) (b c-a d)^4}+\frac{d^4}{2 c^2 (c+d x)^2 (b c-a d)^3}","\frac{3 b^4 \left(5 a^2 d^2-4 a b c d+b^2 c^2\right) \log (a+b x)}{a^4 (b c-a d)^5}-\frac{3 d^4 \left(a^2 d^2-4 a b c d+5 b^2 c^2\right) \log (c+d x)}{c^4 (b c-a d)^5}-\frac{b^4 (2 b c-5 a d)}{a^3 (a+b x) (b c-a d)^4}-\frac{b^4}{2 a^2 (a+b x)^2 (b c-a d)^3}-\frac{3 \log (x) (a d+b c)}{a^4 c^4}-\frac{1}{a^3 c^3 x}+\frac{d^4 (5 b c-2 a d)}{c^3 (c+d x) (b c-a d)^4}+\frac{d^4}{2 c^2 (c+d x)^2 (b c-a d)^3}",1,"-(1/(a^3*c^3*x)) - b^4/(2*a^2*(b*c - a*d)^3*(a + b*x)^2) - (b^4*(2*b*c - 5*a*d))/(a^3*(b*c - a*d)^4*(a + b*x)) + d^4/(2*c^2*(b*c - a*d)^3*(c + d*x)^2) + (d^4*(5*b*c - 2*a*d))/(c^3*(b*c - a*d)^4*(c + d*x)) - (3*(b*c + a*d)*Log[x])/(a^4*c^4) + (3*b^4*(b^2*c^2 - 4*a*b*c*d + 5*a^2*d^2)*Log[a + b*x])/(a^4*(b*c - a*d)^5) - (3*d^4*(5*b^2*c^2 - 4*a*b*c*d + a^2*d^2)*Log[c + d*x])/(c^4*(b*c - a*d)^5)","A",2,1,18,0.05556,1,"{88}"
319,1,39,0,0.014199,"\int x^{7/2} (a+b x) (A+B x) \, dx","Int[x^(7/2)*(a + b*x)*(A + B*x),x]","\frac{2}{11} x^{11/2} (a B+A b)+\frac{2}{9} a A x^{9/2}+\frac{2}{13} b B x^{13/2}","\frac{2}{11} x^{11/2} (a B+A b)+\frac{2}{9} a A x^{9/2}+\frac{2}{13} b B x^{13/2}",1,"(2*a*A*x^(9/2))/9 + (2*(A*b + a*B)*x^(11/2))/11 + (2*b*B*x^(13/2))/13","A",2,1,16,0.06250,1,"{76}"
320,1,39,0,0.0136939,"\int x^{5/2} (a+b x) (A+B x) \, dx","Int[x^(5/2)*(a + b*x)*(A + B*x),x]","\frac{2}{9} x^{9/2} (a B+A b)+\frac{2}{7} a A x^{7/2}+\frac{2}{11} b B x^{11/2}","\frac{2}{9} x^{9/2} (a B+A b)+\frac{2}{7} a A x^{7/2}+\frac{2}{11} b B x^{11/2}",1,"(2*a*A*x^(7/2))/7 + (2*(A*b + a*B)*x^(9/2))/9 + (2*b*B*x^(11/2))/11","A",2,1,16,0.06250,1,"{76}"
321,1,39,0,0.0144146,"\int x^{3/2} (a+b x) (A+B x) \, dx","Int[x^(3/2)*(a + b*x)*(A + B*x),x]","\frac{2}{7} x^{7/2} (a B+A b)+\frac{2}{5} a A x^{5/2}+\frac{2}{9} b B x^{9/2}","\frac{2}{7} x^{7/2} (a B+A b)+\frac{2}{5} a A x^{5/2}+\frac{2}{9} b B x^{9/2}",1,"(2*a*A*x^(5/2))/5 + (2*(A*b + a*B)*x^(7/2))/7 + (2*b*B*x^(9/2))/9","A",2,1,16,0.06250,1,"{76}"
322,1,39,0,0.0135763,"\int \sqrt{x} (a+b x) (A+B x) \, dx","Int[Sqrt[x]*(a + b*x)*(A + B*x),x]","\frac{2}{5} x^{5/2} (a B+A b)+\frac{2}{3} a A x^{3/2}+\frac{2}{7} b B x^{7/2}","\frac{2}{5} x^{5/2} (a B+A b)+\frac{2}{3} a A x^{3/2}+\frac{2}{7} b B x^{7/2}",1,"(2*a*A*x^(3/2))/3 + (2*(A*b + a*B)*x^(5/2))/5 + (2*b*B*x^(7/2))/7","A",2,1,16,0.06250,1,"{76}"
323,1,37,0,0.0135054,"\int \frac{(a+b x) (A+B x)}{\sqrt{x}} \, dx","Int[((a + b*x)*(A + B*x))/Sqrt[x],x]","\frac{2}{3} x^{3/2} (a B+A b)+2 a A \sqrt{x}+\frac{2}{5} b B x^{5/2}","\frac{2}{3} x^{3/2} (a B+A b)+2 a A \sqrt{x}+\frac{2}{5} b B x^{5/2}",1,"2*a*A*Sqrt[x] + (2*(A*b + a*B)*x^(3/2))/3 + (2*b*B*x^(5/2))/5","A",2,1,16,0.06250,1,"{76}"
324,1,35,0,0.0127751,"\int \frac{(a+b x) (A+B x)}{x^{3/2}} \, dx","Int[((a + b*x)*(A + B*x))/x^(3/2),x]","2 \sqrt{x} (a B+A b)-\frac{2 a A}{\sqrt{x}}+\frac{2}{3} b B x^{3/2}","2 \sqrt{x} (a B+A b)-\frac{2 a A}{\sqrt{x}}+\frac{2}{3} b B x^{3/2}",1,"(-2*a*A)/Sqrt[x] + 2*(A*b + a*B)*Sqrt[x] + (2*b*B*x^(3/2))/3","A",2,1,16,0.06250,1,"{76}"
325,1,35,0,0.0131018,"\int \frac{(a+b x) (A+B x)}{x^{5/2}} \, dx","Int[((a + b*x)*(A + B*x))/x^(5/2),x]","-\frac{2 (a B+A b)}{\sqrt{x}}-\frac{2 a A}{3 x^{3/2}}+2 b B \sqrt{x}","-\frac{2 (a B+A b)}{\sqrt{x}}-\frac{2 a A}{3 x^{3/2}}+2 b B \sqrt{x}",1,"(-2*a*A)/(3*x^(3/2)) - (2*(A*b + a*B))/Sqrt[x] + 2*b*B*Sqrt[x]","A",2,1,16,0.06250,1,"{76}"
326,1,37,0,0.0120989,"\int \frac{(a+b x) (A+B x)}{x^{7/2}} \, dx","Int[((a + b*x)*(A + B*x))/x^(7/2),x]","-\frac{2 (a B+A b)}{3 x^{3/2}}-\frac{2 a A}{5 x^{5/2}}-\frac{2 b B}{\sqrt{x}}","-\frac{2 (a B+A b)}{3 x^{3/2}}-\frac{2 a A}{5 x^{5/2}}-\frac{2 b B}{\sqrt{x}}",1,"(-2*a*A)/(5*x^(5/2)) - (2*(A*b + a*B))/(3*x^(3/2)) - (2*b*B)/Sqrt[x]","A",2,1,16,0.06250,1,"{76}"
327,1,63,0,0.0287165,"\int x^{7/2} (a+b x)^2 (A+B x) \, dx","Int[x^(7/2)*(a + b*x)^2*(A + B*x),x]","\frac{2}{9} a^2 A x^{9/2}+\frac{2}{13} b x^{13/2} (2 a B+A b)+\frac{2}{11} a x^{11/2} (a B+2 A b)+\frac{2}{15} b^2 B x^{15/2}","\frac{2}{9} a^2 A x^{9/2}+\frac{2}{13} b x^{13/2} (2 a B+A b)+\frac{2}{11} a x^{11/2} (a B+2 A b)+\frac{2}{15} b^2 B x^{15/2}",1,"(2*a^2*A*x^(9/2))/9 + (2*a*(2*A*b + a*B)*x^(11/2))/11 + (2*b*(A*b + 2*a*B)*x^(13/2))/13 + (2*b^2*B*x^(15/2))/15","A",2,1,18,0.05556,1,"{76}"
328,1,63,0,0.0273691,"\int x^{5/2} (a+b x)^2 (A+B x) \, dx","Int[x^(5/2)*(a + b*x)^2*(A + B*x),x]","\frac{2}{7} a^2 A x^{7/2}+\frac{2}{11} b x^{11/2} (2 a B+A b)+\frac{2}{9} a x^{9/2} (a B+2 A b)+\frac{2}{13} b^2 B x^{13/2}","\frac{2}{7} a^2 A x^{7/2}+\frac{2}{11} b x^{11/2} (2 a B+A b)+\frac{2}{9} a x^{9/2} (a B+2 A b)+\frac{2}{13} b^2 B x^{13/2}",1,"(2*a^2*A*x^(7/2))/7 + (2*a*(2*A*b + a*B)*x^(9/2))/9 + (2*b*(A*b + 2*a*B)*x^(11/2))/11 + (2*b^2*B*x^(13/2))/13","A",2,1,18,0.05556,1,"{76}"
329,1,63,0,0.0269592,"\int x^{3/2} (a+b x)^2 (A+B x) \, dx","Int[x^(3/2)*(a + b*x)^2*(A + B*x),x]","\frac{2}{5} a^2 A x^{5/2}+\frac{2}{9} b x^{9/2} (2 a B+A b)+\frac{2}{7} a x^{7/2} (a B+2 A b)+\frac{2}{11} b^2 B x^{11/2}","\frac{2}{5} a^2 A x^{5/2}+\frac{2}{9} b x^{9/2} (2 a B+A b)+\frac{2}{7} a x^{7/2} (a B+2 A b)+\frac{2}{11} b^2 B x^{11/2}",1,"(2*a^2*A*x^(5/2))/5 + (2*a*(2*A*b + a*B)*x^(7/2))/7 + (2*b*(A*b + 2*a*B)*x^(9/2))/9 + (2*b^2*B*x^(11/2))/11","A",2,1,18,0.05556,1,"{76}"
330,1,63,0,0.0259567,"\int \sqrt{x} (a+b x)^2 (A+B x) \, dx","Int[Sqrt[x]*(a + b*x)^2*(A + B*x),x]","\frac{2}{3} a^2 A x^{3/2}+\frac{2}{7} b x^{7/2} (2 a B+A b)+\frac{2}{5} a x^{5/2} (a B+2 A b)+\frac{2}{9} b^2 B x^{9/2}","\frac{2}{3} a^2 A x^{3/2}+\frac{2}{7} b x^{7/2} (2 a B+A b)+\frac{2}{5} a x^{5/2} (a B+2 A b)+\frac{2}{9} b^2 B x^{9/2}",1,"(2*a^2*A*x^(3/2))/3 + (2*a*(2*A*b + a*B)*x^(5/2))/5 + (2*b*(A*b + 2*a*B)*x^(7/2))/7 + (2*b^2*B*x^(9/2))/9","A",2,1,18,0.05556,1,"{76}"
331,1,61,0,0.0265611,"\int \frac{(a+b x)^2 (A+B x)}{\sqrt{x}} \, dx","Int[((a + b*x)^2*(A + B*x))/Sqrt[x],x]","2 a^2 A \sqrt{x}+\frac{2}{5} b x^{5/2} (2 a B+A b)+\frac{2}{3} a x^{3/2} (a B+2 A b)+\frac{2}{7} b^2 B x^{7/2}","2 a^2 A \sqrt{x}+\frac{2}{5} b x^{5/2} (2 a B+A b)+\frac{2}{3} a x^{3/2} (a B+2 A b)+\frac{2}{7} b^2 B x^{7/2}",1,"2*a^2*A*Sqrt[x] + (2*a*(2*A*b + a*B)*x^(3/2))/3 + (2*b*(A*b + 2*a*B)*x^(5/2))/5 + (2*b^2*B*x^(7/2))/7","A",2,1,18,0.05556,1,"{76}"
332,1,59,0,0.0252951,"\int \frac{(a+b x)^2 (A+B x)}{x^{3/2}} \, dx","Int[((a + b*x)^2*(A + B*x))/x^(3/2),x]","-\frac{2 a^2 A}{\sqrt{x}}+\frac{2}{3} b x^{3/2} (2 a B+A b)+2 a \sqrt{x} (a B+2 A b)+\frac{2}{5} b^2 B x^{5/2}","-\frac{2 a^2 A}{\sqrt{x}}+\frac{2}{3} b x^{3/2} (2 a B+A b)+2 a \sqrt{x} (a B+2 A b)+\frac{2}{5} b^2 B x^{5/2}",1,"(-2*a^2*A)/Sqrt[x] + 2*a*(2*A*b + a*B)*Sqrt[x] + (2*b*(A*b + 2*a*B)*x^(3/2))/3 + (2*b^2*B*x^(5/2))/5","A",2,1,18,0.05556,1,"{76}"
333,1,59,0,0.0264712,"\int \frac{(a+b x)^2 (A+B x)}{x^{5/2}} \, dx","Int[((a + b*x)^2*(A + B*x))/x^(5/2),x]","-\frac{2 a^2 A}{3 x^{3/2}}-\frac{2 a (a B+2 A b)}{\sqrt{x}}+2 b \sqrt{x} (2 a B+A b)+\frac{2}{3} b^2 B x^{3/2}","-\frac{2 a^2 A}{3 x^{3/2}}-\frac{2 a (a B+2 A b)}{\sqrt{x}}+2 b \sqrt{x} (2 a B+A b)+\frac{2}{3} b^2 B x^{3/2}",1,"(-2*a^2*A)/(3*x^(3/2)) - (2*a*(2*A*b + a*B))/Sqrt[x] + 2*b*(A*b + 2*a*B)*Sqrt[x] + (2*b^2*B*x^(3/2))/3","A",2,1,18,0.05556,1,"{76}"
334,1,59,0,0.0250903,"\int \frac{(a+b x)^2 (A+B x)}{x^{7/2}} \, dx","Int[((a + b*x)^2*(A + B*x))/x^(7/2),x]","-\frac{2 a^2 A}{5 x^{5/2}}-\frac{2 a (a B+2 A b)}{3 x^{3/2}}-\frac{2 b (2 a B+A b)}{\sqrt{x}}+2 b^2 B \sqrt{x}","-\frac{2 a^2 A}{5 x^{5/2}}-\frac{2 a (a B+2 A b)}{3 x^{3/2}}-\frac{2 b (2 a B+A b)}{\sqrt{x}}+2 b^2 B \sqrt{x}",1,"(-2*a^2*A)/(5*x^(5/2)) - (2*a*(2*A*b + a*B))/(3*x^(3/2)) - (2*b*(A*b + 2*a*B))/Sqrt[x] + 2*b^2*B*Sqrt[x]","A",2,1,18,0.05556,1,"{76}"
335,1,85,0,0.0411008,"\int x^{7/2} (a+b x)^3 (A+B x) \, dx","Int[x^(7/2)*(a + b*x)^3*(A + B*x),x]","\frac{2}{11} a^2 x^{11/2} (a B+3 A b)+\frac{2}{9} a^3 A x^{9/2}+\frac{2}{15} b^2 x^{15/2} (3 a B+A b)+\frac{6}{13} a b x^{13/2} (a B+A b)+\frac{2}{17} b^3 B x^{17/2}","\frac{2}{11} a^2 x^{11/2} (a B+3 A b)+\frac{2}{9} a^3 A x^{9/2}+\frac{2}{15} b^2 x^{15/2} (3 a B+A b)+\frac{6}{13} a b x^{13/2} (a B+A b)+\frac{2}{17} b^3 B x^{17/2}",1,"(2*a^3*A*x^(9/2))/9 + (2*a^2*(3*A*b + a*B)*x^(11/2))/11 + (6*a*b*(A*b + a*B)*x^(13/2))/13 + (2*b^2*(A*b + 3*a*B)*x^(15/2))/15 + (2*b^3*B*x^(17/2))/17","A",2,1,18,0.05556,1,"{76}"
336,1,85,0,0.0376684,"\int x^{5/2} (a+b x)^3 (A+B x) \, dx","Int[x^(5/2)*(a + b*x)^3*(A + B*x),x]","\frac{2}{9} a^2 x^{9/2} (a B+3 A b)+\frac{2}{7} a^3 A x^{7/2}+\frac{2}{13} b^2 x^{13/2} (3 a B+A b)+\frac{6}{11} a b x^{11/2} (a B+A b)+\frac{2}{15} b^3 B x^{15/2}","\frac{2}{9} a^2 x^{9/2} (a B+3 A b)+\frac{2}{7} a^3 A x^{7/2}+\frac{2}{13} b^2 x^{13/2} (3 a B+A b)+\frac{6}{11} a b x^{11/2} (a B+A b)+\frac{2}{15} b^3 B x^{15/2}",1,"(2*a^3*A*x^(7/2))/7 + (2*a^2*(3*A*b + a*B)*x^(9/2))/9 + (6*a*b*(A*b + a*B)*x^(11/2))/11 + (2*b^2*(A*b + 3*a*B)*x^(13/2))/13 + (2*b^3*B*x^(15/2))/15","A",2,1,18,0.05556,1,"{76}"
337,1,85,0,0.0359724,"\int x^{3/2} (a+b x)^3 (A+B x) \, dx","Int[x^(3/2)*(a + b*x)^3*(A + B*x),x]","\frac{2}{7} a^2 x^{7/2} (a B+3 A b)+\frac{2}{5} a^3 A x^{5/2}+\frac{2}{11} b^2 x^{11/2} (3 a B+A b)+\frac{2}{3} a b x^{9/2} (a B+A b)+\frac{2}{13} b^3 B x^{13/2}","\frac{2}{7} a^2 x^{7/2} (a B+3 A b)+\frac{2}{5} a^3 A x^{5/2}+\frac{2}{11} b^2 x^{11/2} (3 a B+A b)+\frac{2}{3} a b x^{9/2} (a B+A b)+\frac{2}{13} b^3 B x^{13/2}",1,"(2*a^3*A*x^(5/2))/5 + (2*a^2*(3*A*b + a*B)*x^(7/2))/7 + (2*a*b*(A*b + a*B)*x^(9/2))/3 + (2*b^2*(A*b + 3*a*B)*x^(11/2))/11 + (2*b^3*B*x^(13/2))/13","A",2,1,18,0.05556,1,"{76}"
338,1,85,0,0.0370037,"\int \sqrt{x} (a+b x)^3 (A+B x) \, dx","Int[Sqrt[x]*(a + b*x)^3*(A + B*x),x]","\frac{2}{5} a^2 x^{5/2} (a B+3 A b)+\frac{2}{3} a^3 A x^{3/2}+\frac{2}{9} b^2 x^{9/2} (3 a B+A b)+\frac{6}{7} a b x^{7/2} (a B+A b)+\frac{2}{11} b^3 B x^{11/2}","\frac{2}{5} a^2 x^{5/2} (a B+3 A b)+\frac{2}{3} a^3 A x^{3/2}+\frac{2}{9} b^2 x^{9/2} (3 a B+A b)+\frac{6}{7} a b x^{7/2} (a B+A b)+\frac{2}{11} b^3 B x^{11/2}",1,"(2*a^3*A*x^(3/2))/3 + (2*a^2*(3*A*b + a*B)*x^(5/2))/5 + (6*a*b*(A*b + a*B)*x^(7/2))/7 + (2*b^2*(A*b + 3*a*B)*x^(9/2))/9 + (2*b^3*B*x^(11/2))/11","A",2,1,18,0.05556,1,"{76}"
339,1,83,0,0.0373372,"\int \frac{(a+b x)^3 (A+B x)}{\sqrt{x}} \, dx","Int[((a + b*x)^3*(A + B*x))/Sqrt[x],x]","\frac{2}{3} a^2 x^{3/2} (a B+3 A b)+2 a^3 A \sqrt{x}+\frac{2}{7} b^2 x^{7/2} (3 a B+A b)+\frac{6}{5} a b x^{5/2} (a B+A b)+\frac{2}{9} b^3 B x^{9/2}","\frac{2}{3} a^2 x^{3/2} (a B+3 A b)+2 a^3 A \sqrt{x}+\frac{2}{7} b^2 x^{7/2} (3 a B+A b)+\frac{6}{5} a b x^{5/2} (a B+A b)+\frac{2}{9} b^3 B x^{9/2}",1,"2*a^3*A*Sqrt[x] + (2*a^2*(3*A*b + a*B)*x^(3/2))/3 + (6*a*b*(A*b + a*B)*x^(5/2))/5 + (2*b^2*(A*b + 3*a*B)*x^(7/2))/7 + (2*b^3*B*x^(9/2))/9","A",2,1,18,0.05556,1,"{76}"
340,1,79,0,0.0384907,"\int \frac{(a+b x)^3 (A+B x)}{x^{3/2}} \, dx","Int[((a + b*x)^3*(A + B*x))/x^(3/2),x]","2 a^2 \sqrt{x} (a B+3 A b)-\frac{2 a^3 A}{\sqrt{x}}+\frac{2}{5} b^2 x^{5/2} (3 a B+A b)+2 a b x^{3/2} (a B+A b)+\frac{2}{7} b^3 B x^{7/2}","2 a^2 \sqrt{x} (a B+3 A b)-\frac{2 a^3 A}{\sqrt{x}}+\frac{2}{5} b^2 x^{5/2} (3 a B+A b)+2 a b x^{3/2} (a B+A b)+\frac{2}{7} b^3 B x^{7/2}",1,"(-2*a^3*A)/Sqrt[x] + 2*a^2*(3*A*b + a*B)*Sqrt[x] + 2*a*b*(A*b + a*B)*x^(3/2) + (2*b^2*(A*b + 3*a*B)*x^(5/2))/5 + (2*b^3*B*x^(7/2))/7","A",2,1,18,0.05556,1,"{76}"
341,1,81,0,0.035759,"\int \frac{(a+b x)^3 (A+B x)}{x^{5/2}} \, dx","Int[((a + b*x)^3*(A + B*x))/x^(5/2),x]","-\frac{2 a^2 (a B+3 A b)}{\sqrt{x}}-\frac{2 a^3 A}{3 x^{3/2}}+\frac{2}{3} b^2 x^{3/2} (3 a B+A b)+6 a b \sqrt{x} (a B+A b)+\frac{2}{5} b^3 B x^{5/2}","-\frac{2 a^2 (a B+3 A b)}{\sqrt{x}}-\frac{2 a^3 A}{3 x^{3/2}}+\frac{2}{3} b^2 x^{3/2} (3 a B+A b)+6 a b \sqrt{x} (a B+A b)+\frac{2}{5} b^3 B x^{5/2}",1,"(-2*a^3*A)/(3*x^(3/2)) - (2*a^2*(3*A*b + a*B))/Sqrt[x] + 6*a*b*(A*b + a*B)*Sqrt[x] + (2*b^2*(A*b + 3*a*B)*x^(3/2))/3 + (2*b^3*B*x^(5/2))/5","A",2,1,18,0.05556,1,"{76}"
342,1,81,0,0.035442,"\int \frac{(a+b x)^3 (A+B x)}{x^{7/2}} \, dx","Int[((a + b*x)^3*(A + B*x))/x^(7/2),x]","-\frac{2 a^2 (a B+3 A b)}{3 x^{3/2}}-\frac{2 a^3 A}{5 x^{5/2}}+2 b^2 \sqrt{x} (3 a B+A b)-\frac{6 a b (a B+A b)}{\sqrt{x}}+\frac{2}{3} b^3 B x^{3/2}","-\frac{2 a^2 (a B+3 A b)}{3 x^{3/2}}-\frac{2 a^3 A}{5 x^{5/2}}+2 b^2 \sqrt{x} (3 a B+A b)-\frac{6 a b (a B+A b)}{\sqrt{x}}+\frac{2}{3} b^3 B x^{3/2}",1,"(-2*a^3*A)/(5*x^(5/2)) - (2*a^2*(3*A*b + a*B))/(3*x^(3/2)) - (6*a*b*(A*b + a*B))/Sqrt[x] + 2*b^2*(A*b + 3*a*B)*Sqrt[x] + (2*b^3*B*x^(3/2))/3","A",2,1,18,0.05556,1,"{76}"
343,1,58,0,0.0118427,"\int \frac{(2-3 x)^3 \sqrt{x}}{(1+x)^2} \, dx","Int[((2 - 3*x)^3*Sqrt[x])/(1 + x)^2,x]","-\frac{\sqrt{x} (2-3 x)^3}{x+1}-\frac{21}{5} \sqrt{x} (2-3 x)^2-\frac{3}{5} (917-171 x) \sqrt{x}+575 \tan ^{-1}\left(\sqrt{x}\right)","-\frac{54 x^{5/2}}{5}+72 x^{3/2}-\frac{125 \sqrt{x}}{x+1}-450 \sqrt{x}+575 \tan ^{-1}\left(\sqrt{x}\right)",1,"(-3*(917 - 171*x)*Sqrt[x])/5 - (21*(2 - 3*x)^2*Sqrt[x])/5 - ((2 - 3*x)^3*Sqrt[x])/(1 + x) + 575*ArcTan[Sqrt[x]]","A",5,5,18,0.2778,1,"{97, 153, 147, 63, 203}"
344,1,136,0,0.0815894,"\int \frac{x^{7/2} (A+B x)}{a+b x} \, dx","Int[(x^(7/2)*(A + B*x))/(a + b*x),x]","\frac{2 a^2 x^{3/2} (A b-a B)}{3 b^4}-\frac{2 a^3 \sqrt{x} (A b-a B)}{b^5}+\frac{2 a^{7/2} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{b^{11/2}}+\frac{2 x^{7/2} (A b-a B)}{7 b^2}-\frac{2 a x^{5/2} (A b-a B)}{5 b^3}+\frac{2 B x^{9/2}}{9 b}","\frac{2 a^2 x^{3/2} (A b-a B)}{3 b^4}-\frac{2 a^3 \sqrt{x} (A b-a B)}{b^5}+\frac{2 a^{7/2} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{b^{11/2}}+\frac{2 x^{7/2} (A b-a B)}{7 b^2}-\frac{2 a x^{5/2} (A b-a B)}{5 b^3}+\frac{2 B x^{9/2}}{9 b}",1,"(-2*a^3*(A*b - a*B)*Sqrt[x])/b^5 + (2*a^2*(A*b - a*B)*x^(3/2))/(3*b^4) - (2*a*(A*b - a*B)*x^(5/2))/(5*b^3) + (2*(A*b - a*B)*x^(7/2))/(7*b^2) + (2*B*x^(9/2))/(9*b) + (2*a^(7/2)*(A*b - a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/b^(11/2)","A",7,4,18,0.2222,1,"{80, 50, 63, 205}"
345,1,113,0,0.0540715,"\int \frac{x^{5/2} (A+B x)}{a+b x} \, dx","Int[(x^(5/2)*(A + B*x))/(a + b*x),x]","\frac{2 a^2 \sqrt{x} (A b-a B)}{b^4}-\frac{2 a^{5/2} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{b^{9/2}}+\frac{2 x^{5/2} (A b-a B)}{5 b^2}-\frac{2 a x^{3/2} (A b-a B)}{3 b^3}+\frac{2 B x^{7/2}}{7 b}","\frac{2 a^2 \sqrt{x} (A b-a B)}{b^4}-\frac{2 a^{5/2} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{b^{9/2}}+\frac{2 x^{5/2} (A b-a B)}{5 b^2}-\frac{2 a x^{3/2} (A b-a B)}{3 b^3}+\frac{2 B x^{7/2}}{7 b}",1,"(2*a^2*(A*b - a*B)*Sqrt[x])/b^4 - (2*a*(A*b - a*B)*x^(3/2))/(3*b^3) + (2*(A*b - a*B)*x^(5/2))/(5*b^2) + (2*B*x^(7/2))/(7*b) - (2*a^(5/2)*(A*b - a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/b^(9/2)","A",6,4,18,0.2222,1,"{80, 50, 63, 205}"
346,1,90,0,0.0423072,"\int \frac{x^{3/2} (A+B x)}{a+b x} \, dx","Int[(x^(3/2)*(A + B*x))/(a + b*x),x]","\frac{2 a^{3/2} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{b^{7/2}}+\frac{2 x^{3/2} (A b-a B)}{3 b^2}-\frac{2 a \sqrt{x} (A b-a B)}{b^3}+\frac{2 B x^{5/2}}{5 b}","\frac{2 a^{3/2} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{b^{7/2}}+\frac{2 x^{3/2} (A b-a B)}{3 b^2}-\frac{2 a \sqrt{x} (A b-a B)}{b^3}+\frac{2 B x^{5/2}}{5 b}",1,"(-2*a*(A*b - a*B)*Sqrt[x])/b^3 + (2*(A*b - a*B)*x^(3/2))/(3*b^2) + (2*B*x^(5/2))/(5*b) + (2*a^(3/2)*(A*b - a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/b^(7/2)","A",5,4,18,0.2222,1,"{80, 50, 63, 205}"
347,1,69,0,0.0327636,"\int \frac{\sqrt{x} (A+B x)}{a+b x} \, dx","Int[(Sqrt[x]*(A + B*x))/(a + b*x),x]","\frac{2 \sqrt{x} (A b-a B)}{b^2}-\frac{2 \sqrt{a} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{b^{5/2}}+\frac{2 B x^{3/2}}{3 b}","\frac{2 \sqrt{x} (A b-a B)}{b^2}-\frac{2 \sqrt{a} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{b^{5/2}}+\frac{2 B x^{3/2}}{3 b}",1,"(2*(A*b - a*B)*Sqrt[x])/b^2 + (2*B*x^(3/2))/(3*b) - (2*Sqrt[a]*(A*b - a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/b^(5/2)","A",4,4,18,0.2222,1,"{80, 50, 63, 205}"
348,1,49,0,0.0216724,"\int \frac{A+B x}{\sqrt{x} (a+b x)} \, dx","Int[(A + B*x)/(Sqrt[x]*(a + b*x)),x]","\frac{2 (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{\sqrt{a} b^{3/2}}+\frac{2 B \sqrt{x}}{b}","\frac{2 (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{\sqrt{a} b^{3/2}}+\frac{2 B \sqrt{x}}{b}",1,"(2*B*Sqrt[x])/b + (2*(A*b - a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/(Sqrt[a]*b^(3/2))","A",3,3,18,0.1667,1,"{80, 63, 205}"
349,1,49,0,0.0247503,"\int \frac{A+B x}{x^{3/2} (a+b x)} \, dx","Int[(A + B*x)/(x^(3/2)*(a + b*x)),x]","-\frac{2 (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{3/2} \sqrt{b}}-\frac{2 A}{a \sqrt{x}}","-\frac{2 (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{3/2} \sqrt{b}}-\frac{2 A}{a \sqrt{x}}",1,"(-2*A)/(a*Sqrt[x]) - (2*(A*b - a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/(a^(3/2)*Sqrt[b])","A",3,3,18,0.1667,1,"{78, 63, 205}"
350,1,69,0,0.0362944,"\int \frac{A+B x}{x^{5/2} (a+b x)} \, dx","Int[(A + B*x)/(x^(5/2)*(a + b*x)),x]","\frac{2 (A b-a B)}{a^2 \sqrt{x}}+\frac{2 \sqrt{b} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{5/2}}-\frac{2 A}{3 a x^{3/2}}","\frac{2 (A b-a B)}{a^2 \sqrt{x}}+\frac{2 \sqrt{b} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{5/2}}-\frac{2 A}{3 a x^{3/2}}",1,"(-2*A)/(3*a*x^(3/2)) + (2*(A*b - a*B))/(a^2*Sqrt[x]) + (2*Sqrt[b]*(A*b - a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/a^(5/2)","A",4,4,18,0.2222,1,"{78, 51, 63, 205}"
351,1,90,0,0.0481859,"\int \frac{A+B x}{x^{7/2} (a+b x)} \, dx","Int[(A + B*x)/(x^(7/2)*(a + b*x)),x]","-\frac{2 b^{3/2} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{7/2}}+\frac{2 (A b-a B)}{3 a^2 x^{3/2}}-\frac{2 b (A b-a B)}{a^3 \sqrt{x}}-\frac{2 A}{5 a x^{5/2}}","-\frac{2 b^{3/2} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{7/2}}+\frac{2 (A b-a B)}{3 a^2 x^{3/2}}-\frac{2 b (A b-a B)}{a^3 \sqrt{x}}-\frac{2 A}{5 a x^{5/2}}",1,"(-2*A)/(5*a*x^(5/2)) + (2*(A*b - a*B))/(3*a^2*x^(3/2)) - (2*b*(A*b - a*B))/(a^3*Sqrt[x]) - (2*b^(3/2)*(A*b - a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/a^(7/2)","A",5,4,18,0.2222,1,"{78, 51, 63, 205}"
352,1,113,0,0.0634274,"\int \frac{A+B x}{x^{9/2} (a+b x)} \, dx","Int[(A + B*x)/(x^(9/2)*(a + b*x)),x]","\frac{2 b^2 (A b-a B)}{a^4 \sqrt{x}}+\frac{2 b^{5/2} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{9/2}}-\frac{2 b (A b-a B)}{3 a^3 x^{3/2}}+\frac{2 (A b-a B)}{5 a^2 x^{5/2}}-\frac{2 A}{7 a x^{7/2}}","\frac{2 b^2 (A b-a B)}{a^4 \sqrt{x}}+\frac{2 b^{5/2} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{9/2}}-\frac{2 b (A b-a B)}{3 a^3 x^{3/2}}+\frac{2 (A b-a B)}{5 a^2 x^{5/2}}-\frac{2 A}{7 a x^{7/2}}",1,"(-2*A)/(7*a*x^(7/2)) + (2*(A*b - a*B))/(5*a^2*x^(5/2)) - (2*b*(A*b - a*B))/(3*a^3*x^(3/2)) + (2*b^2*(A*b - a*B))/(a^4*Sqrt[x]) + (2*b^(5/2)*(A*b - a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/a^(9/2)","A",6,4,18,0.2222,1,"{78, 51, 63, 205}"
353,1,136,0,0.0721327,"\int \frac{A+B x}{x^{11/2} (a+b x)} \, dx","Int[(A + B*x)/(x^(11/2)*(a + b*x)),x]","\frac{2 b^2 (A b-a B)}{3 a^4 x^{3/2}}-\frac{2 b^3 (A b-a B)}{a^5 \sqrt{x}}-\frac{2 b^{7/2} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{11/2}}-\frac{2 b (A b-a B)}{5 a^3 x^{5/2}}+\frac{2 (A b-a B)}{7 a^2 x^{7/2}}-\frac{2 A}{9 a x^{9/2}}","\frac{2 b^2 (A b-a B)}{3 a^4 x^{3/2}}-\frac{2 b^3 (A b-a B)}{a^5 \sqrt{x}}-\frac{2 b^{7/2} (A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{11/2}}-\frac{2 b (A b-a B)}{5 a^3 x^{5/2}}+\frac{2 (A b-a B)}{7 a^2 x^{7/2}}-\frac{2 A}{9 a x^{9/2}}",1,"(-2*A)/(9*a*x^(9/2)) + (2*(A*b - a*B))/(7*a^2*x^(7/2)) - (2*b*(A*b - a*B))/(5*a^3*x^(5/2)) + (2*b^2*(A*b - a*B))/(3*a^4*x^(3/2)) - (2*b^3*(A*b - a*B))/(a^5*Sqrt[x]) - (2*b^(7/2)*(A*b - a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/a^(11/2)","A",7,4,18,0.2222,1,"{78, 51, 63, 205}"
354,1,154,0,0.075496,"\int \frac{x^{7/2} (A+B x)}{(a+b x)^2} \, dx","Int[(x^(7/2)*(A + B*x))/(a + b*x)^2,x]","\frac{a^2 \sqrt{x} (7 A b-9 a B)}{b^5}-\frac{a^{5/2} (7 A b-9 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{b^{11/2}}-\frac{x^{7/2} (7 A b-9 a B)}{7 a b^2}+\frac{x^{5/2} (7 A b-9 a B)}{5 b^3}-\frac{a x^{3/2} (7 A b-9 a B)}{3 b^4}+\frac{x^{9/2} (A b-a B)}{a b (a+b x)}","\frac{a^2 \sqrt{x} (7 A b-9 a B)}{b^5}-\frac{a^{5/2} (7 A b-9 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{b^{11/2}}-\frac{x^{7/2} (7 A b-9 a B)}{7 a b^2}+\frac{x^{5/2} (7 A b-9 a B)}{5 b^3}-\frac{a x^{3/2} (7 A b-9 a B)}{3 b^4}+\frac{x^{9/2} (A b-a B)}{a b (a+b x)}",1,"(a^2*(7*A*b - 9*a*B)*Sqrt[x])/b^5 - (a*(7*A*b - 9*a*B)*x^(3/2))/(3*b^4) + ((7*A*b - 9*a*B)*x^(5/2))/(5*b^3) - ((7*A*b - 9*a*B)*x^(7/2))/(7*a*b^2) + ((A*b - a*B)*x^(9/2))/(a*b*(a + b*x)) - (a^(5/2)*(7*A*b - 9*a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/b^(11/2)","A",7,4,18,0.2222,1,"{78, 50, 63, 205}"
355,1,130,0,0.0635914,"\int \frac{x^{5/2} (A+B x)}{(a+b x)^2} \, dx","Int[(x^(5/2)*(A + B*x))/(a + b*x)^2,x]","\frac{a^{3/2} (5 A b-7 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{b^{9/2}}-\frac{x^{5/2} (5 A b-7 a B)}{5 a b^2}+\frac{x^{3/2} (5 A b-7 a B)}{3 b^3}-\frac{a \sqrt{x} (5 A b-7 a B)}{b^4}+\frac{x^{7/2} (A b-a B)}{a b (a+b x)}","\frac{a^{3/2} (5 A b-7 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{b^{9/2}}-\frac{x^{5/2} (5 A b-7 a B)}{5 a b^2}+\frac{x^{3/2} (5 A b-7 a B)}{3 b^3}-\frac{a \sqrt{x} (5 A b-7 a B)}{b^4}+\frac{x^{7/2} (A b-a B)}{a b (a+b x)}",1,"-((a*(5*A*b - 7*a*B)*Sqrt[x])/b^4) + ((5*A*b - 7*a*B)*x^(3/2))/(3*b^3) - ((5*A*b - 7*a*B)*x^(5/2))/(5*a*b^2) + ((A*b - a*B)*x^(7/2))/(a*b*(a + b*x)) + (a^(3/2)*(5*A*b - 7*a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/b^(9/2)","A",6,4,18,0.2222,1,"{78, 50, 63, 205}"
356,1,108,0,0.0463346,"\int \frac{x^{3/2} (A+B x)}{(a+b x)^2} \, dx","Int[(x^(3/2)*(A + B*x))/(a + b*x)^2,x]","-\frac{x^{3/2} (3 A b-5 a B)}{3 a b^2}+\frac{\sqrt{x} (3 A b-5 a B)}{b^3}-\frac{\sqrt{a} (3 A b-5 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{b^{7/2}}+\frac{x^{5/2} (A b-a B)}{a b (a+b x)}","-\frac{x^{3/2} (3 A b-5 a B)}{3 a b^2}+\frac{\sqrt{x} (3 A b-5 a B)}{b^3}-\frac{\sqrt{a} (3 A b-5 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{b^{7/2}}+\frac{x^{5/2} (A b-a B)}{a b (a+b x)}",1,"((3*A*b - 5*a*B)*Sqrt[x])/b^3 - ((3*A*b - 5*a*B)*x^(3/2))/(3*a*b^2) + ((A*b - a*B)*x^(5/2))/(a*b*(a + b*x)) - (Sqrt[a]*(3*A*b - 5*a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/b^(7/2)","A",5,4,18,0.2222,1,"{78, 50, 63, 205}"
357,1,85,0,0.0353538,"\int \frac{\sqrt{x} (A+B x)}{(a+b x)^2} \, dx","Int[(Sqrt[x]*(A + B*x))/(a + b*x)^2,x]","-\frac{\sqrt{x} (A b-3 a B)}{a b^2}+\frac{(A b-3 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{\sqrt{a} b^{5/2}}+\frac{x^{3/2} (A b-a B)}{a b (a+b x)}","-\frac{\sqrt{x} (A b-3 a B)}{a b^2}+\frac{(A b-3 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{\sqrt{a} b^{5/2}}+\frac{x^{3/2} (A b-a B)}{a b (a+b x)}",1,"-(((A*b - 3*a*B)*Sqrt[x])/(a*b^2)) + ((A*b - a*B)*x^(3/2))/(a*b*(a + b*x)) + ((A*b - 3*a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/(Sqrt[a]*b^(5/2))","A",4,4,18,0.2222,1,"{78, 50, 63, 205}"
358,1,63,0,0.0255035,"\int \frac{A+B x}{\sqrt{x} (a+b x)^2} \, dx","Int[(A + B*x)/(Sqrt[x]*(a + b*x)^2),x]","\frac{(a B+A b) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{3/2} b^{3/2}}+\frac{\sqrt{x} (A b-a B)}{a b (a+b x)}","\frac{(a B+A b) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{3/2} b^{3/2}}+\frac{\sqrt{x} (A b-a B)}{a b (a+b x)}",1,"((A*b - a*B)*Sqrt[x])/(a*b*(a + b*x)) + ((A*b + a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/(a^(3/2)*b^(3/2))","A",3,3,18,0.1667,1,"{78, 63, 205}"
359,1,88,0,0.0374867,"\int \frac{A+B x}{x^{3/2} (a+b x)^2} \, dx","Int[(A + B*x)/(x^(3/2)*(a + b*x)^2),x]","-\frac{3 A b-a B}{a^2 b \sqrt{x}}-\frac{(3 A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{5/2} \sqrt{b}}+\frac{A b-a B}{a b \sqrt{x} (a+b x)}","-\frac{3 A b-a B}{a^2 b \sqrt{x}}-\frac{(3 A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{5/2} \sqrt{b}}+\frac{A b-a B}{a b \sqrt{x} (a+b x)}",1,"-((3*A*b - a*B)/(a^2*b*Sqrt[x])) + (A*b - a*B)/(a*b*Sqrt[x]*(a + b*x)) - ((3*A*b - a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/(a^(5/2)*Sqrt[b])","A",4,4,18,0.2222,1,"{78, 51, 63, 205}"
360,1,107,0,0.0464709,"\int \frac{A+B x}{x^{5/2} (a+b x)^2} \, dx","Int[(A + B*x)/(x^(5/2)*(a + b*x)^2),x]","-\frac{5 A b-3 a B}{3 a^2 b x^{3/2}}+\frac{5 A b-3 a B}{a^3 \sqrt{x}}+\frac{\sqrt{b} (5 A b-3 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{7/2}}+\frac{A b-a B}{a b x^{3/2} (a+b x)}","-\frac{5 A b-3 a B}{3 a^2 b x^{3/2}}+\frac{5 A b-3 a B}{a^3 \sqrt{x}}+\frac{\sqrt{b} (5 A b-3 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{7/2}}+\frac{A b-a B}{a b x^{3/2} (a+b x)}",1,"-(5*A*b - 3*a*B)/(3*a^2*b*x^(3/2)) + (5*A*b - 3*a*B)/(a^3*Sqrt[x]) + (A*b - a*B)/(a*b*x^(3/2)*(a + b*x)) + (Sqrt[b]*(5*A*b - 3*a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/a^(7/2)","A",5,4,18,0.2222,1,"{78, 51, 63, 205}"
361,1,131,0,0.0611191,"\int \frac{A+B x}{x^{7/2} (a+b x)^2} \, dx","Int[(A + B*x)/(x^(7/2)*(a + b*x)^2),x]","-\frac{b^{3/2} (7 A b-5 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{9/2}}+\frac{7 A b-5 a B}{3 a^3 x^{3/2}}-\frac{7 A b-5 a B}{5 a^2 b x^{5/2}}-\frac{b (7 A b-5 a B)}{a^4 \sqrt{x}}+\frac{A b-a B}{a b x^{5/2} (a+b x)}","-\frac{b^{3/2} (7 A b-5 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{9/2}}+\frac{7 A b-5 a B}{3 a^3 x^{3/2}}-\frac{7 A b-5 a B}{5 a^2 b x^{5/2}}-\frac{b (7 A b-5 a B)}{a^4 \sqrt{x}}+\frac{A b-a B}{a b x^{5/2} (a+b x)}",1,"-(7*A*b - 5*a*B)/(5*a^2*b*x^(5/2)) + (7*A*b - 5*a*B)/(3*a^3*x^(3/2)) - (b*(7*A*b - 5*a*B))/(a^4*Sqrt[x]) + (A*b - a*B)/(a*b*x^(5/2)*(a + b*x)) - (b^(3/2)*(7*A*b - 5*a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/a^(9/2)","A",6,4,18,0.2222,1,"{78, 51, 63, 205}"
362,1,153,0,0.074909,"\int \frac{A+B x}{x^{9/2} (a+b x)^2} \, dx","Int[(A + B*x)/(x^(9/2)*(a + b*x)^2),x]","\frac{b^2 (9 A b-7 a B)}{a^5 \sqrt{x}}+\frac{b^{5/2} (9 A b-7 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{11/2}}-\frac{b (9 A b-7 a B)}{3 a^4 x^{3/2}}+\frac{9 A b-7 a B}{5 a^3 x^{5/2}}-\frac{9 A b-7 a B}{7 a^2 b x^{7/2}}+\frac{A b-a B}{a b x^{7/2} (a+b x)}","\frac{b^2 (9 A b-7 a B)}{a^5 \sqrt{x}}+\frac{b^{5/2} (9 A b-7 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{a^{11/2}}-\frac{b (9 A b-7 a B)}{3 a^4 x^{3/2}}+\frac{9 A b-7 a B}{5 a^3 x^{5/2}}-\frac{9 A b-7 a B}{7 a^2 b x^{7/2}}+\frac{A b-a B}{a b x^{7/2} (a+b x)}",1,"-(9*A*b - 7*a*B)/(7*a^2*b*x^(7/2)) + (9*A*b - 7*a*B)/(5*a^3*x^(5/2)) - (b*(9*A*b - 7*a*B))/(3*a^4*x^(3/2)) + (b^2*(9*A*b - 7*a*B))/(a^5*Sqrt[x]) + (A*b - a*B)/(a*b*x^(7/2)*(a + b*x)) + (b^(5/2)*(9*A*b - 7*a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/a^(11/2)","A",7,4,18,0.2222,1,"{78, 51, 63, 205}"
363,1,169,0,0.0773488,"\int \frac{x^{7/2} (A+B x)}{(a+b x)^3} \, dx","Int[(x^(7/2)*(A + B*x))/(a + b*x)^3,x]","\frac{7 a^{3/2} (5 A b-9 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 b^{11/2}}+\frac{x^{7/2} (5 A b-9 a B)}{4 a b^2 (a+b x)}-\frac{7 x^{5/2} (5 A b-9 a B)}{20 a b^3}+\frac{7 x^{3/2} (5 A b-9 a B)}{12 b^4}-\frac{7 a \sqrt{x} (5 A b-9 a B)}{4 b^5}+\frac{x^{9/2} (A b-a B)}{2 a b (a+b x)^2}","\frac{7 a^{3/2} (5 A b-9 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 b^{11/2}}+\frac{x^{7/2} (5 A b-9 a B)}{4 a b^2 (a+b x)}-\frac{7 x^{5/2} (5 A b-9 a B)}{20 a b^3}+\frac{7 x^{3/2} (5 A b-9 a B)}{12 b^4}-\frac{7 a \sqrt{x} (5 A b-9 a B)}{4 b^5}+\frac{x^{9/2} (A b-a B)}{2 a b (a+b x)^2}",1,"(-7*a*(5*A*b - 9*a*B)*Sqrt[x])/(4*b^5) + (7*(5*A*b - 9*a*B)*x^(3/2))/(12*b^4) - (7*(5*A*b - 9*a*B)*x^(5/2))/(20*a*b^3) + ((A*b - a*B)*x^(9/2))/(2*a*b*(a + b*x)^2) + ((5*A*b - 9*a*B)*x^(7/2))/(4*a*b^2*(a + b*x)) + (7*a^(3/2)*(5*A*b - 9*a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/(4*b^(11/2))","A",7,5,18,0.2778,1,"{78, 47, 50, 63, 205}"
364,1,147,0,0.0623048,"\int \frac{x^{5/2} (A+B x)}{(a+b x)^3} \, dx","Int[(x^(5/2)*(A + B*x))/(a + b*x)^3,x]","\frac{x^{5/2} (3 A b-7 a B)}{4 a b^2 (a+b x)}-\frac{5 x^{3/2} (3 A b-7 a B)}{12 a b^3}+\frac{5 \sqrt{x} (3 A b-7 a B)}{4 b^4}-\frac{5 \sqrt{a} (3 A b-7 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 b^{9/2}}+\frac{x^{7/2} (A b-a B)}{2 a b (a+b x)^2}","\frac{x^{5/2} (3 A b-7 a B)}{4 a b^2 (a+b x)}-\frac{5 x^{3/2} (3 A b-7 a B)}{12 a b^3}+\frac{5 \sqrt{x} (3 A b-7 a B)}{4 b^4}-\frac{5 \sqrt{a} (3 A b-7 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 b^{9/2}}+\frac{x^{7/2} (A b-a B)}{2 a b (a+b x)^2}",1,"(5*(3*A*b - 7*a*B)*Sqrt[x])/(4*b^4) - (5*(3*A*b - 7*a*B)*x^(3/2))/(12*a*b^3) + ((A*b - a*B)*x^(7/2))/(2*a*b*(a + b*x)^2) + ((3*A*b - 7*a*B)*x^(5/2))/(4*a*b^2*(a + b*x)) - (5*Sqrt[a]*(3*A*b - 7*a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/(4*b^(9/2))","A",6,5,18,0.2778,1,"{78, 47, 50, 63, 205}"
365,1,123,0,0.0502698,"\int \frac{x^{3/2} (A+B x)}{(a+b x)^3} \, dx","Int[(x^(3/2)*(A + B*x))/(a + b*x)^3,x]","\frac{x^{3/2} (A b-5 a B)}{4 a b^2 (a+b x)}-\frac{3 \sqrt{x} (A b-5 a B)}{4 a b^3}+\frac{3 (A b-5 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 \sqrt{a} b^{7/2}}+\frac{x^{5/2} (A b-a B)}{2 a b (a+b x)^2}","\frac{x^{3/2} (A b-5 a B)}{4 a b^2 (a+b x)}-\frac{3 \sqrt{x} (A b-5 a B)}{4 a b^3}+\frac{3 (A b-5 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 \sqrt{a} b^{7/2}}+\frac{x^{5/2} (A b-a B)}{2 a b (a+b x)^2}",1,"(-3*(A*b - 5*a*B)*Sqrt[x])/(4*a*b^3) + ((A*b - a*B)*x^(5/2))/(2*a*b*(a + b*x)^2) + ((A*b - 5*a*B)*x^(3/2))/(4*a*b^2*(a + b*x)) + (3*(A*b - 5*a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/(4*Sqrt[a]*b^(7/2))","A",5,5,18,0.2778,1,"{78, 47, 50, 63, 205}"
366,1,100,0,0.0381686,"\int \frac{\sqrt{x} (A+B x)}{(a+b x)^3} \, dx","Int[(Sqrt[x]*(A + B*x))/(a + b*x)^3,x]","\frac{(3 a B+A b) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 a^{3/2} b^{5/2}}-\frac{\sqrt{x} (3 a B+A b)}{4 a b^2 (a+b x)}+\frac{x^{3/2} (A b-a B)}{2 a b (a+b x)^2}","\frac{(3 a B+A b) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 a^{3/2} b^{5/2}}-\frac{\sqrt{x} (3 a B+A b)}{4 a b^2 (a+b x)}+\frac{x^{3/2} (A b-a B)}{2 a b (a+b x)^2}",1,"((A*b - a*B)*x^(3/2))/(2*a*b*(a + b*x)^2) - ((A*b + 3*a*B)*Sqrt[x])/(4*a*b^2*(a + b*x)) + ((A*b + 3*a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/(4*a^(3/2)*b^(5/2))","A",4,4,18,0.2222,1,"{78, 47, 63, 205}"
367,1,100,0,0.036757,"\int \frac{A+B x}{\sqrt{x} (a+b x)^3} \, dx","Int[(A + B*x)/(Sqrt[x]*(a + b*x)^3),x]","\frac{(a B+3 A b) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 a^{5/2} b^{3/2}}+\frac{\sqrt{x} (a B+3 A b)}{4 a^2 b (a+b x)}+\frac{\sqrt{x} (A b-a B)}{2 a b (a+b x)^2}","\frac{(a B+3 A b) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 a^{5/2} b^{3/2}}+\frac{\sqrt{x} (a B+3 A b)}{4 a^2 b (a+b x)}+\frac{\sqrt{x} (A b-a B)}{2 a b (a+b x)^2}",1,"((A*b - a*B)*Sqrt[x])/(2*a*b*(a + b*x)^2) + ((3*A*b + a*B)*Sqrt[x])/(4*a^2*b*(a + b*x)) + ((3*A*b + a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/(4*a^(5/2)*b^(3/2))","A",4,4,18,0.2222,1,"{78, 51, 63, 205}"
368,1,126,0,0.0515795,"\int \frac{A+B x}{x^{3/2} (a+b x)^3} \, dx","Int[(A + B*x)/(x^(3/2)*(a + b*x)^3),x]","-\frac{3 (5 A b-a B)}{4 a^3 b \sqrt{x}}+\frac{5 A b-a B}{4 a^2 b \sqrt{x} (a+b x)}-\frac{3 (5 A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 a^{7/2} \sqrt{b}}+\frac{A b-a B}{2 a b \sqrt{x} (a+b x)^2}","-\frac{3 (5 A b-a B)}{4 a^3 b \sqrt{x}}+\frac{5 A b-a B}{4 a^2 b \sqrt{x} (a+b x)}-\frac{3 (5 A b-a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 a^{7/2} \sqrt{b}}+\frac{A b-a B}{2 a b \sqrt{x} (a+b x)^2}",1,"(-3*(5*A*b - a*B))/(4*a^3*b*Sqrt[x]) + (A*b - a*B)/(2*a*b*Sqrt[x]*(a + b*x)^2) + (5*A*b - a*B)/(4*a^2*b*Sqrt[x]*(a + b*x)) - (3*(5*A*b - a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/(4*a^(7/2)*Sqrt[b])","A",5,4,18,0.2222,1,"{78, 51, 63, 205}"
369,1,147,0,0.0605477,"\int \frac{A+B x}{x^{5/2} (a+b x)^3} \, dx","Int[(A + B*x)/(x^(5/2)*(a + b*x)^3),x]","\frac{7 A b-3 a B}{4 a^2 b x^{3/2} (a+b x)}-\frac{5 (7 A b-3 a B)}{12 a^3 b x^{3/2}}+\frac{5 (7 A b-3 a B)}{4 a^4 \sqrt{x}}+\frac{5 \sqrt{b} (7 A b-3 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 a^{9/2}}+\frac{A b-a B}{2 a b x^{3/2} (a+b x)^2}","\frac{7 A b-3 a B}{4 a^2 b x^{3/2} (a+b x)}-\frac{5 (7 A b-3 a B)}{12 a^3 b x^{3/2}}+\frac{5 (7 A b-3 a B)}{4 a^4 \sqrt{x}}+\frac{5 \sqrt{b} (7 A b-3 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 a^{9/2}}+\frac{A b-a B}{2 a b x^{3/2} (a+b x)^2}",1,"(-5*(7*A*b - 3*a*B))/(12*a^3*b*x^(3/2)) + (5*(7*A*b - 3*a*B))/(4*a^4*Sqrt[x]) + (A*b - a*B)/(2*a*b*x^(3/2)*(a + b*x)^2) + (7*A*b - 3*a*B)/(4*a^2*b*x^(3/2)*(a + b*x)) + (5*Sqrt[b]*(7*A*b - 3*a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/(4*a^(9/2))","A",6,4,18,0.2222,1,"{78, 51, 63, 205}"
370,1,169,0,0.0741477,"\int \frac{A+B x}{x^{7/2} (a+b x)^3} \, dx","Int[(A + B*x)/(x^(7/2)*(a + b*x)^3),x]","-\frac{7 b^{3/2} (9 A b-5 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 a^{11/2}}+\frac{7 (9 A b-5 a B)}{12 a^4 x^{3/2}}+\frac{9 A b-5 a B}{4 a^2 b x^{5/2} (a+b x)}-\frac{7 (9 A b-5 a B)}{20 a^3 b x^{5/2}}-\frac{7 b (9 A b-5 a B)}{4 a^5 \sqrt{x}}+\frac{A b-a B}{2 a b x^{5/2} (a+b x)^2}","-\frac{7 b^{3/2} (9 A b-5 a B) \tan ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)}{4 a^{11/2}}+\frac{7 (9 A b-5 a B)}{12 a^4 x^{3/2}}+\frac{9 A b-5 a B}{4 a^2 b x^{5/2} (a+b x)}-\frac{7 (9 A b-5 a B)}{20 a^3 b x^{5/2}}-\frac{7 b (9 A b-5 a B)}{4 a^5 \sqrt{x}}+\frac{A b-a B}{2 a b x^{5/2} (a+b x)^2}",1,"(-7*(9*A*b - 5*a*B))/(20*a^3*b*x^(5/2)) + (7*(9*A*b - 5*a*B))/(12*a^4*x^(3/2)) - (7*b*(9*A*b - 5*a*B))/(4*a^5*Sqrt[x]) + (A*b - a*B)/(2*a*b*x^(5/2)*(a + b*x)^2) + (9*A*b - 5*a*B)/(4*a^2*b*x^(5/2)*(a + b*x)) - (7*b^(3/2)*(9*A*b - 5*a*B)*ArcTan[(Sqrt[b]*Sqrt[x])/Sqrt[a]])/(4*a^(11/2))","A",7,4,18,0.2222,1,"{78, 51, 63, 205}"
371,1,125,0,0.0742205,"\int x^m (a+b x)^4 (A+B x) \, dx","Int[x^m*(a + b*x)^4*(A + B*x),x]","\frac{a^3 x^{m+2} (a B+4 A b)}{m+2}+\frac{2 a^2 b x^{m+3} (2 a B+3 A b)}{m+3}+\frac{a^4 A x^{m+1}}{m+1}+\frac{2 a b^2 x^{m+4} (3 a B+2 A b)}{m+4}+\frac{b^3 x^{m+5} (4 a B+A b)}{m+5}+\frac{b^4 B x^{m+6}}{m+6}","\frac{a^3 x^{m+2} (a B+4 A b)}{m+2}+\frac{2 a^2 b x^{m+3} (2 a B+3 A b)}{m+3}+\frac{a^4 A x^{m+1}}{m+1}+\frac{2 a b^2 x^{m+4} (3 a B+2 A b)}{m+4}+\frac{b^3 x^{m+5} (4 a B+A b)}{m+5}+\frac{b^4 B x^{m+6}}{m+6}",1,"(a^4*A*x^(1 + m))/(1 + m) + (a^3*(4*A*b + a*B)*x^(2 + m))/(2 + m) + (2*a^2*b*(3*A*b + 2*a*B)*x^(3 + m))/(3 + m) + (2*a*b^2*(2*A*b + 3*a*B)*x^(4 + m))/(4 + m) + (b^3*(A*b + 4*a*B)*x^(5 + m))/(5 + m) + (b^4*B*x^(6 + m))/(6 + m)","A",2,1,16,0.06250,1,"{76}"
372,1,96,0,0.0516339,"\int x^m (a+b x)^3 (A+B x) \, dx","Int[x^m*(a + b*x)^3*(A + B*x),x]","\frac{a^2 x^{m+2} (a B+3 A b)}{m+2}+\frac{a^3 A x^{m+1}}{m+1}+\frac{b^2 x^{m+4} (3 a B+A b)}{m+4}+\frac{3 a b x^{m+3} (a B+A b)}{m+3}+\frac{b^3 B x^{m+5}}{m+5}","\frac{a^2 x^{m+2} (a B+3 A b)}{m+2}+\frac{a^3 A x^{m+1}}{m+1}+\frac{b^2 x^{m+4} (3 a B+A b)}{m+4}+\frac{3 a b x^{m+3} (a B+A b)}{m+3}+\frac{b^3 B x^{m+5}}{m+5}",1,"(a^3*A*x^(1 + m))/(1 + m) + (a^2*(3*A*b + a*B)*x^(2 + m))/(2 + m) + (3*a*b*(A*b + a*B)*x^(3 + m))/(3 + m) + (b^2*(A*b + 3*a*B)*x^(4 + m))/(4 + m) + (b^3*B*x^(5 + m))/(5 + m)","A",2,1,16,0.06250,1,"{76}"
373,1,71,0,0.0352358,"\int x^m (a+b x)^2 (A+B x) \, dx","Int[x^m*(a + b*x)^2*(A + B*x),x]","\frac{a^2 A x^{m+1}}{m+1}+\frac{a x^{m+2} (a B+2 A b)}{m+2}+\frac{b x^{m+3} (2 a B+A b)}{m+3}+\frac{b^2 B x^{m+4}}{m+4}","\frac{a^2 A x^{m+1}}{m+1}+\frac{a x^{m+2} (a B+2 A b)}{m+2}+\frac{b x^{m+3} (2 a B+A b)}{m+3}+\frac{b^2 B x^{m+4}}{m+4}",1,"(a^2*A*x^(1 + m))/(1 + m) + (a*(2*A*b + a*B)*x^(2 + m))/(2 + m) + (b*(A*b + 2*a*B)*x^(3 + m))/(3 + m) + (b^2*B*x^(4 + m))/(4 + m)","A",2,1,16,0.06250,1,"{76}"
374,1,45,0,0.0181551,"\int x^m (a+b x) (A+B x) \, dx","Int[x^m*(a + b*x)*(A + B*x),x]","\frac{x^{m+2} (a B+A b)}{m+2}+\frac{a A x^{m+1}}{m+1}+\frac{b B x^{m+3}}{m+3}","\frac{x^{m+2} (a B+A b)}{m+2}+\frac{a A x^{m+1}}{m+1}+\frac{b B x^{m+3}}{m+3}",1,"(a*A*x^(1 + m))/(1 + m) + ((A*b + a*B)*x^(2 + m))/(2 + m) + (b*B*x^(3 + m))/(3 + m)","A",2,1,14,0.07143,1,"{76}"
375,1,56,0,0.0256041,"\int \frac{x^m (A+B x)}{a+b x} \, dx","Int[(x^m*(A + B*x))/(a + b*x),x]","\frac{x^{m+1} (A b-a B) \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a b (m+1)}+\frac{B x^{m+1}}{b (m+1)}","\frac{x^{m+1} (A b-a B) \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a b (m+1)}+\frac{B x^{m+1}}{b (m+1)}",1,"(B*x^(1 + m))/(b*(1 + m)) + ((A*b - a*B)*x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((b*x)/a)])/(a*b*(1 + m))","A",2,2,16,0.1250,1,"{80, 64}"
376,1,73,0,0.0264038,"\int \frac{x^m (A+B x)}{(a+b x)^2} \, dx","Int[(x^m*(A + B*x))/(a + b*x)^2,x]","\frac{x^{m+1} (A b-a B)}{a b (a+b x)}-\frac{x^{m+1} (A b m-a B (m+1)) \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a^2 b (m+1)}","\frac{x^{m+1} (A b-a B)}{a b (a+b x)}-\frac{x^{m+1} (A b m-a B (m+1)) \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a^2 b (m+1)}",1,"((A*b - a*B)*x^(1 + m))/(a*b*(a + b*x)) - ((A*b*m - a*B*(1 + m))*x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((b*x)/a)])/(a^2*b*(1 + m))","A",2,2,16,0.1250,1,"{78, 64}"
377,1,81,0,0.0303746,"\int \frac{x^m (A+B x)}{(a+b x)^3} \, dx","Int[(x^m*(A + B*x))/(a + b*x)^3,x]","\frac{x^{m+1} (a B (m+1)+A b (1-m)) \, _2F_1\left(2,m+1;m+2;-\frac{b x}{a}\right)}{2 a^3 b (m+1)}+\frac{x^{m+1} (A b-a B)}{2 a b (a+b x)^2}","\frac{x^{m+1} (a B (m+1)+A b (1-m)) \, _2F_1\left(2,m+1;m+2;-\frac{b x}{a}\right)}{2 a^3 b (m+1)}+\frac{x^{m+1} (A b-a B)}{2 a b (a+b x)^2}",1,"((A*b - a*B)*x^(1 + m))/(2*a*b*(a + b*x)^2) + ((A*b*(1 - m) + a*B*(1 + m))*x^(1 + m)*Hypergeometric2F1[2, 1 + m, 2 + m, -((b*x)/a)])/(2*a^3*b*(1 + m))","A",2,2,16,0.1250,1,"{78, 64}"
378,1,231,0,0.129433,"\int x^m (a+b x)^2 (c+d x)^5 \, dx","Int[x^m*(a + b*x)^2*(c + d*x)^5,x]","\frac{c^3 x^{m+3} \left(10 a^2 d^2+10 a b c d+b^2 c^2\right)}{m+3}+\frac{5 c^2 d x^{m+4} \left(2 a^2 d^2+4 a b c d+b^2 c^2\right)}{m+4}+\frac{5 c d^2 x^{m+5} \left(a^2 d^2+4 a b c d+2 b^2 c^2\right)}{m+5}+\frac{d^3 x^{m+6} \left(a^2 d^2+10 a b c d+10 b^2 c^2\right)}{m+6}+\frac{a^2 c^5 x^{m+1}}{m+1}+\frac{a c^4 x^{m+2} (5 a d+2 b c)}{m+2}+\frac{b d^4 x^{m+7} (2 a d+5 b c)}{m+7}+\frac{b^2 d^5 x^{m+8}}{m+8}","\frac{c^3 x^{m+3} \left(10 a^2 d^2+10 a b c d+b^2 c^2\right)}{m+3}+\frac{5 c^2 d x^{m+4} \left(2 a^2 d^2+4 a b c d+b^2 c^2\right)}{m+4}+\frac{5 c d^2 x^{m+5} \left(a^2 d^2+4 a b c d+2 b^2 c^2\right)}{m+5}+\frac{d^3 x^{m+6} \left(a^2 d^2+10 a b c d+10 b^2 c^2\right)}{m+6}+\frac{a^2 c^5 x^{m+1}}{m+1}+\frac{a c^4 x^{m+2} (5 a d+2 b c)}{m+2}+\frac{b d^4 x^{m+7} (2 a d+5 b c)}{m+7}+\frac{b^2 d^5 x^{m+8}}{m+8}",1,"(a^2*c^5*x^(1 + m))/(1 + m) + (a*c^4*(2*b*c + 5*a*d)*x^(2 + m))/(2 + m) + (c^3*(b^2*c^2 + 10*a*b*c*d + 10*a^2*d^2)*x^(3 + m))/(3 + m) + (5*c^2*d*(b^2*c^2 + 4*a*b*c*d + 2*a^2*d^2)*x^(4 + m))/(4 + m) + (5*c*d^2*(2*b^2*c^2 + 4*a*b*c*d + a^2*d^2)*x^(5 + m))/(5 + m) + (d^3*(10*b^2*c^2 + 10*a*b*c*d + a^2*d^2)*x^(6 + m))/(6 + m) + (b*d^4*(5*b*c + 2*a*d)*x^(7 + m))/(7 + m) + (b^2*d^5*x^(8 + m))/(8 + m)","A",2,1,18,0.05556,1,"{88}"
379,1,171,0,0.1064959,"\int \frac{x^m (c+d x)^3}{a+b x} \, dx","Int[(x^m*(c + d*x)^3)/(a + b*x),x]","\frac{d^2 x^{m+2} (b c-a d)}{b^2 (m+2)}+\frac{x^{m+1} (b c-a d)^3 \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a b^3 (m+1)}+\frac{d x^{m+1} (b c-a d)^2}{b^3 (m+1)}+\frac{c d x^{m+1} (b c-a d)}{b^2 (m+1)}+\frac{c^2 d x^{m+1}}{b (m+1)}+\frac{2 c d^2 x^{m+2}}{b (m+2)}+\frac{d^3 x^{m+3}}{b (m+3)}","\frac{d x^{m+1} \left(a^2 d^2-3 a b c d+3 b^2 c^2\right)}{b^3 (m+1)}+\frac{d^2 x^{m+2} (3 b c-a d)}{b^2 (m+2)}+\frac{x^{m+1} (b c-a d)^3 \, _2F_1\left(1,1;1-m;\frac{a}{a+b x}\right)}{b^3 m (a+b x)}+\frac{d^3 x^{m+3}}{b (m+3)}",1,"(c^2*d*x^(1 + m))/(b*(1 + m)) + (c*d*(b*c - a*d)*x^(1 + m))/(b^2*(1 + m)) + (d*(b*c - a*d)^2*x^(1 + m))/(b^3*(1 + m)) + (2*c*d^2*x^(2 + m))/(b*(2 + m)) + (d^2*(b*c - a*d)*x^(2 + m))/(b^2*(2 + m)) + (d^3*x^(3 + m))/(b*(3 + m)) + ((b*c - a*d)^3*x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((b*x)/a)])/(a*b^3*(1 + m))","A",7,3,18,0.1667,1,"{88, 64, 43}"
380,1,99,0,0.0550933,"\int \frac{x^m (c+d x)^2}{a+b x} \, dx","Int[(x^m*(c + d*x)^2)/(a + b*x),x]","\frac{x^{m+1} (b c-a d)^2 \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a b^2 (m+1)}+\frac{d x^{m+1} (b c-a d)}{b^2 (m+1)}+\frac{c d x^{m+1}}{b (m+1)}+\frac{d^2 x^{m+2}}{b (m+2)}","\frac{x^{m+1} (b c-a d)^2 \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a b^2 (m+1)}+\frac{d x^{m+1} (b c-a d)}{b^2 (m+1)}+\frac{c d x^{m+1}}{b (m+1)}+\frac{d^2 x^{m+2}}{b (m+2)}",1,"(c*d*x^(1 + m))/(b*(1 + m)) + (d*(b*c - a*d)*x^(1 + m))/(b^2*(1 + m)) + (d^2*x^(2 + m))/(b*(2 + m)) + ((b*c - a*d)^2*x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((b*x)/a)])/(a*b^2*(1 + m))","A",5,3,18,0.1667,1,"{88, 64, 43}"
381,1,56,0,0.0238552,"\int \frac{x^m (c+d x)}{a+b x} \, dx","Int[(x^m*(c + d*x))/(a + b*x),x]","\frac{x^{m+1} (b c-a d) \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a b (m+1)}+\frac{d x^{m+1}}{b (m+1)}","\frac{x^{m+1} (b c-a d) \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a b (m+1)}+\frac{d x^{m+1}}{b (m+1)}",1,"(d*x^(1 + m))/(b*(1 + m)) + ((b*c - a*d)*x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((b*x)/a)])/(a*b*(1 + m))","A",2,2,16,0.1250,1,"{80, 64}"
382,1,82,0,0.0285017,"\int \frac{x^m}{(a+b x) (c+d x)} \, dx","Int[x^m/((a + b*x)*(c + d*x)),x]","\frac{b x^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a (m+1) (b c-a d)}-\frac{d x^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{d x}{c}\right)}{c (m+1) (b c-a d)}","\frac{b x^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a (m+1) (b c-a d)}-\frac{d x^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{d x}{c}\right)}{c (m+1) (b c-a d)}",1,"(b*x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((b*x)/a)])/(a*(b*c - a*d)*(1 + m)) - (d*x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((d*x)/c)])/(c*(b*c - a*d)*(1 + m))","A",3,2,18,0.1111,1,"{86, 64}"
383,1,125,0,0.0982408,"\int \frac{x^m}{(a+b x) (c+d x)^2} \, dx","Int[x^m/((a + b*x)*(c + d*x)^2),x]","\frac{b^2 x^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a (m+1) (b c-a d)^2}-\frac{d x^{m+1} (a d m+b c (1-m)) \, _2F_1\left(1,m+1;m+2;-\frac{d x}{c}\right)}{c^2 (m+1) (b c-a d)^2}-\frac{d x^{m+1}}{c (c+d x) (b c-a d)}","\frac{b^2 x^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a (m+1) (b c-a d)^2}-\frac{d x^{m+1} (a d m+b c (1-m)) \, _2F_1\left(1,m+1;m+2;-\frac{d x}{c}\right)}{c^2 (m+1) (b c-a d)^2}-\frac{d x^{m+1}}{c (c+d x) (b c-a d)}",1,"-((d*x^(1 + m))/(c*(b*c - a*d)*(c + d*x))) + (b^2*x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((b*x)/a)])/(a*(b*c - a*d)^2*(1 + m)) - (d*(b*c*(1 - m) + a*d*m)*x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((d*x)/c)])/(c^2*(b*c - a*d)^2*(1 + m))","A",4,3,18,0.1667,1,"{103, 156, 64}"
384,1,206,0,0.2398479,"\int \frac{x^m}{(a+b x) (c+d x)^3} \, dx","Int[x^m/((a + b*x)*(c + d*x)^3),x]","\frac{d x^{m+1} \left(a^2 d^2 (1-m) m-2 a b c d (2-m) m-b^2 c^2 \left(m^2-3 m+2\right)\right) \, _2F_1\left(1,m+1;m+2;-\frac{d x}{c}\right)}{2 c^3 (m+1) (b c-a d)^3}+\frac{b^3 x^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a (m+1) (b c-a d)^3}+\frac{d x^{m+1} (a d (1-m)-b c (3-m))}{2 c^2 (c+d x) (b c-a d)^2}-\frac{d x^{m+1}}{2 c (c+d x)^2 (b c-a d)}","\frac{d x^{m+1} \left(a^2 d^2 (1-m) m-2 a b c d (2-m) m-b^2 c^2 \left(m^2-3 m+2\right)\right) \, _2F_1\left(1,m+1;m+2;-\frac{d x}{c}\right)}{2 c^3 (m+1) (b c-a d)^3}+\frac{b^3 x^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{b x}{a}\right)}{a (m+1) (b c-a d)^3}+\frac{d x^{m+1} (a d (1-m)-b c (3-m))}{2 c^2 (c+d x) (b c-a d)^2}-\frac{d x^{m+1}}{2 c (c+d x)^2 (b c-a d)}",1,"-(d*x^(1 + m))/(2*c*(b*c - a*d)*(c + d*x)^2) + (d*(a*d*(1 - m) - b*c*(3 - m))*x^(1 + m))/(2*c^2*(b*c - a*d)^2*(c + d*x)) + (b^3*x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((b*x)/a)])/(a*(b*c - a*d)^3*(1 + m)) + (d*(a^2*d^2*(1 - m)*m - 2*a*b*c*d*(2 - m)*m - b^2*c^2*(2 - 3*m + m^2))*x^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((d*x)/c)])/(2*c^3*(b*c - a*d)^3*(1 + m))","A",5,4,18,0.2222,1,"{103, 151, 156, 64}"
385,1,36,0,0.0122481,"\int \frac{b^2 x^m}{\left(b+a x^2\right)^2} \, dx","Int[(b^2*x^m)/(b + a*x^2)^2,x]","\frac{x^{m+1} \, _2F_1\left(2,\frac{m+1}{2};\frac{m+3}{2};-\frac{a x^2}{b}\right)}{m+1}","\frac{x^{m+1} \, _2F_1\left(2,\frac{m+1}{2};\frac{m+3}{2};-\frac{a x^2}{b}\right)}{m+1}",1,"(x^(1 + m)*Hypergeometric2F1[2, (1 + m)/2, (3 + m)/2, -((a*x^2)/b)])/(1 + m)","A",2,2,16,0.1250,1,"{12, 364}"
386,1,36,0,0.0093259,"\int \frac{x^m}{\left(1-\frac{\sqrt{a} x}{\sqrt{-b}}\right)^2 \left(1+\frac{\sqrt{a} x}{\sqrt{-b}}\right)^2} \, dx","Int[x^m/((1 - (Sqrt[a]*x)/Sqrt[-b])^2*(1 + (Sqrt[a]*x)/Sqrt[-b])^2),x]","\frac{x^{m+1} \, _2F_1\left(2,\frac{m+1}{2};\frac{m+3}{2};-\frac{a x^2}{b}\right)}{m+1}","\frac{x^{m+1} \, _2F_1\left(2,\frac{m+1}{2};\frac{m+3}{2};-\frac{a x^2}{b}\right)}{m+1}",1,"(x^(1 + m)*Hypergeometric2F1[2, (1 + m)/2, (3 + m)/2, -((a*x^2)/b)])/(1 + m)","A",2,2,41,0.04878,1,"{73, 364}"
387,1,151,0,0.0737233,"\int x^4 \sqrt{a+b x} (A+B x) \, dx","Int[x^4*Sqrt[a + b*x]*(A + B*x),x]","\frac{4 a^2 (a+b x)^{7/2} (3 A b-5 a B)}{7 b^6}-\frac{2 a^3 (a+b x)^{5/2} (4 A b-5 a B)}{5 b^6}+\frac{2 a^4 (a+b x)^{3/2} (A b-a B)}{3 b^6}+\frac{2 (a+b x)^{11/2} (A b-5 a B)}{11 b^6}-\frac{4 a (a+b x)^{9/2} (2 A b-5 a B)}{9 b^6}+\frac{2 B (a+b x)^{13/2}}{13 b^6}","\frac{4 a^2 (a+b x)^{7/2} (3 A b-5 a B)}{7 b^6}-\frac{2 a^3 (a+b x)^{5/2} (4 A b-5 a B)}{5 b^6}+\frac{2 a^4 (a+b x)^{3/2} (A b-a B)}{3 b^6}+\frac{2 (a+b x)^{11/2} (A b-5 a B)}{11 b^6}-\frac{4 a (a+b x)^{9/2} (2 A b-5 a B)}{9 b^6}+\frac{2 B (a+b x)^{13/2}}{13 b^6}",1,"(2*a^4*(A*b - a*B)*(a + b*x)^(3/2))/(3*b^6) - (2*a^3*(4*A*b - 5*a*B)*(a + b*x)^(5/2))/(5*b^6) + (4*a^2*(3*A*b - 5*a*B)*(a + b*x)^(7/2))/(7*b^6) - (4*a*(2*A*b - 5*a*B)*(a + b*x)^(9/2))/(9*b^6) + (2*(A*b - 5*a*B)*(a + b*x)^(11/2))/(11*b^6) + (2*B*(a + b*x)^(13/2))/(13*b^6)","A",2,1,18,0.05556,1,"{77}"
388,1,122,0,0.0566592,"\int x^3 \sqrt{a+b x} (A+B x) \, dx","Int[x^3*Sqrt[a + b*x]*(A + B*x),x]","\frac{2 a^2 (a+b x)^{5/2} (3 A b-4 a B)}{5 b^5}-\frac{2 a^3 (a+b x)^{3/2} (A b-a B)}{3 b^5}+\frac{2 (a+b x)^{9/2} (A b-4 a B)}{9 b^5}-\frac{6 a (a+b x)^{7/2} (A b-2 a B)}{7 b^5}+\frac{2 B (a+b x)^{11/2}}{11 b^5}","\frac{2 a^2 (a+b x)^{5/2} (3 A b-4 a B)}{5 b^5}-\frac{2 a^3 (a+b x)^{3/2} (A b-a B)}{3 b^5}+\frac{2 (a+b x)^{9/2} (A b-4 a B)}{9 b^5}-\frac{6 a (a+b x)^{7/2} (A b-2 a B)}{7 b^5}+\frac{2 B (a+b x)^{11/2}}{11 b^5}",1,"(-2*a^3*(A*b - a*B)*(a + b*x)^(3/2))/(3*b^5) + (2*a^2*(3*A*b - 4*a*B)*(a + b*x)^(5/2))/(5*b^5) - (6*a*(A*b - 2*a*B)*(a + b*x)^(7/2))/(7*b^5) + (2*(A*b - 4*a*B)*(a + b*x)^(9/2))/(9*b^5) + (2*B*(a + b*x)^(11/2))/(11*b^5)","A",2,1,18,0.05556,1,"{77}"
389,1,95,0,0.0396122,"\int x^2 \sqrt{a+b x} (A+B x) \, dx","Int[x^2*Sqrt[a + b*x]*(A + B*x),x]","\frac{2 a^2 (a+b x)^{3/2} (A b-a B)}{3 b^4}+\frac{2 (a+b x)^{7/2} (A b-3 a B)}{7 b^4}-\frac{2 a (a+b x)^{5/2} (2 A b-3 a B)}{5 b^4}+\frac{2 B (a+b x)^{9/2}}{9 b^4}","\frac{2 a^2 (a+b x)^{3/2} (A b-a B)}{3 b^4}+\frac{2 (a+b x)^{7/2} (A b-3 a B)}{7 b^4}-\frac{2 a (a+b x)^{5/2} (2 A b-3 a B)}{5 b^4}+\frac{2 B (a+b x)^{9/2}}{9 b^4}",1,"(2*a^2*(A*b - a*B)*(a + b*x)^(3/2))/(3*b^4) - (2*a*(2*A*b - 3*a*B)*(a + b*x)^(5/2))/(5*b^4) + (2*(A*b - 3*a*B)*(a + b*x)^(7/2))/(7*b^4) + (2*B*(a + b*x)^(9/2))/(9*b^4)","A",2,1,18,0.05556,1,"{77}"
390,1,67,0,0.0273428,"\int x \sqrt{a+b x} (A+B x) \, dx","Int[x*Sqrt[a + b*x]*(A + B*x),x]","\frac{2 (a+b x)^{5/2} (A b-2 a B)}{5 b^3}-\frac{2 a (a+b x)^{3/2} (A b-a B)}{3 b^3}+\frac{2 B (a+b x)^{7/2}}{7 b^3}","\frac{2 (a+b x)^{5/2} (A b-2 a B)}{5 b^3}-\frac{2 a (a+b x)^{3/2} (A b-a B)}{3 b^3}+\frac{2 B (a+b x)^{7/2}}{7 b^3}",1,"(-2*a*(A*b - a*B)*(a + b*x)^(3/2))/(3*b^3) + (2*(A*b - 2*a*B)*(a + b*x)^(5/2))/(5*b^3) + (2*B*(a + b*x)^(7/2))/(7*b^3)","A",2,1,16,0.06250,1,"{77}"
391,1,42,0,0.0167864,"\int \sqrt{a+b x} (A+B x) \, dx","Int[Sqrt[a + b*x]*(A + B*x),x]","\frac{2 (a+b x)^{3/2} (A b-a B)}{3 b^2}+\frac{2 B (a+b x)^{5/2}}{5 b^2}","\frac{2 (a+b x)^{3/2} (A b-a B)}{3 b^2}+\frac{2 B (a+b x)^{5/2}}{5 b^2}",1,"(2*(A*b - a*B)*(a + b*x)^(3/2))/(3*b^2) + (2*B*(a + b*x)^(5/2))/(5*b^2)","A",2,1,15,0.06667,1,"{43}"
392,1,54,0,0.0182262,"\int \frac{\sqrt{a+b x} (A+B x)}{x} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/x,x]","2 A \sqrt{a+b x}-2 \sqrt{a} A \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)+\frac{2 B (a+b x)^{3/2}}{3 b}","2 A \sqrt{a+b x}-2 \sqrt{a} A \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)+\frac{2 B (a+b x)^{3/2}}{3 b}",1,"2*A*Sqrt[a + b*x] + (2*B*(a + b*x)^(3/2))/(3*b) - 2*Sqrt[a]*A*ArcTanh[Sqrt[a + b*x]/Sqrt[a]]","A",4,4,18,0.2222,1,"{80, 50, 63, 208}"
393,1,71,0,0.0330898,"\int \frac{\sqrt{a+b x} (A+B x)}{x^2} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/x^2,x]","\frac{\sqrt{a+b x} (2 a B+A b)}{a}-\frac{(2 a B+A b) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{\sqrt{a}}-\frac{A (a+b x)^{3/2}}{a x}","\frac{\sqrt{a+b x} (2 a B+A b)}{a}-\frac{(2 a B+A b) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{\sqrt{a}}-\frac{A (a+b x)^{3/2}}{a x}",1,"((A*b + 2*a*B)*Sqrt[a + b*x])/a - (A*(a + b*x)^(3/2))/(a*x) - ((A*b + 2*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/Sqrt[a]","A",4,4,18,0.2222,1,"{78, 50, 63, 208}"
394,1,82,0,0.0349467,"\int \frac{\sqrt{a+b x} (A+B x)}{x^3} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/x^3,x]","\frac{b (A b-4 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{4 a^{3/2}}+\frac{\sqrt{a+b x} (A b-4 a B)}{4 a x}-\frac{A (a+b x)^{3/2}}{2 a x^2}","\frac{b (A b-4 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{4 a^{3/2}}+\frac{\sqrt{a+b x} (A b-4 a B)}{4 a x}-\frac{A (a+b x)^{3/2}}{2 a x^2}",1,"((A*b - 4*a*B)*Sqrt[a + b*x])/(4*a*x) - (A*(a + b*x)^(3/2))/(2*a*x^2) + (b*(A*b - 4*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(4*a^(3/2))","A",4,4,18,0.2222,1,"{78, 47, 63, 208}"
395,1,112,0,0.0499156,"\int \frac{\sqrt{a+b x} (A+B x)}{x^4} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/x^4,x]","-\frac{b^2 (A b-2 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{8 a^{5/2}}+\frac{b \sqrt{a+b x} (A b-2 a B)}{8 a^2 x}+\frac{\sqrt{a+b x} (A b-2 a B)}{4 a x^2}-\frac{A (a+b x)^{3/2}}{3 a x^3}","-\frac{b^2 (A b-2 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{8 a^{5/2}}+\frac{b \sqrt{a+b x} (A b-2 a B)}{8 a^2 x}+\frac{\sqrt{a+b x} (A b-2 a B)}{4 a x^2}-\frac{A (a+b x)^{3/2}}{3 a x^3}",1,"((A*b - 2*a*B)*Sqrt[a + b*x])/(4*a*x^2) + (b*(A*b - 2*a*B)*Sqrt[a + b*x])/(8*a^2*x) - (A*(a + b*x)^(3/2))/(3*a*x^3) - (b^2*(A*b - 2*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(8*a^(5/2))","A",5,5,18,0.2778,1,"{78, 47, 51, 63, 208}"
396,1,146,0,0.0654546,"\int \frac{\sqrt{a+b x} (A+B x)}{x^5} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/x^5,x]","-\frac{b^2 \sqrt{a+b x} (5 A b-8 a B)}{64 a^3 x}+\frac{b^3 (5 A b-8 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{64 a^{7/2}}+\frac{b \sqrt{a+b x} (5 A b-8 a B)}{96 a^2 x^2}+\frac{\sqrt{a+b x} (5 A b-8 a B)}{24 a x^3}-\frac{A (a+b x)^{3/2}}{4 a x^4}","-\frac{b^2 \sqrt{a+b x} (5 A b-8 a B)}{64 a^3 x}+\frac{b^3 (5 A b-8 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{64 a^{7/2}}+\frac{b \sqrt{a+b x} (5 A b-8 a B)}{96 a^2 x^2}+\frac{\sqrt{a+b x} (5 A b-8 a B)}{24 a x^3}-\frac{A (a+b x)^{3/2}}{4 a x^4}",1,"((5*A*b - 8*a*B)*Sqrt[a + b*x])/(24*a*x^3) + (b*(5*A*b - 8*a*B)*Sqrt[a + b*x])/(96*a^2*x^2) - (b^2*(5*A*b - 8*a*B)*Sqrt[a + b*x])/(64*a^3*x) - (A*(a + b*x)^(3/2))/(4*a*x^4) + (b^3*(5*A*b - 8*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(64*a^(7/2))","A",6,5,18,0.2778,1,"{78, 47, 51, 63, 208}"
397,1,177,0,0.0853057,"\int \frac{\sqrt{a+b x} (A+B x)}{x^6} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/x^6,x]","-\frac{b^2 \sqrt{a+b x} (7 A b-10 a B)}{192 a^3 x^2}+\frac{b^3 \sqrt{a+b x} (7 A b-10 a B)}{128 a^4 x}-\frac{b^4 (7 A b-10 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{128 a^{9/2}}+\frac{b \sqrt{a+b x} (7 A b-10 a B)}{240 a^2 x^3}+\frac{\sqrt{a+b x} (7 A b-10 a B)}{40 a x^4}-\frac{A (a+b x)^{3/2}}{5 a x^5}","-\frac{b^2 \sqrt{a+b x} (7 A b-10 a B)}{192 a^3 x^2}+\frac{b^3 \sqrt{a+b x} (7 A b-10 a B)}{128 a^4 x}-\frac{b^4 (7 A b-10 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{128 a^{9/2}}+\frac{b \sqrt{a+b x} (7 A b-10 a B)}{240 a^2 x^3}+\frac{\sqrt{a+b x} (7 A b-10 a B)}{40 a x^4}-\frac{A (a+b x)^{3/2}}{5 a x^5}",1,"((7*A*b - 10*a*B)*Sqrt[a + b*x])/(40*a*x^4) + (b*(7*A*b - 10*a*B)*Sqrt[a + b*x])/(240*a^2*x^3) - (b^2*(7*A*b - 10*a*B)*Sqrt[a + b*x])/(192*a^3*x^2) + (b^3*(7*A*b - 10*a*B)*Sqrt[a + b*x])/(128*a^4*x) - (A*(a + b*x)^(3/2))/(5*a*x^5) - (b^4*(7*A*b - 10*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(128*a^(9/2))","A",7,5,18,0.2778,1,"{78, 47, 51, 63, 208}"
398,1,151,0,0.0616942,"\int x^4 (a+b x)^{3/2} (A+B x) \, dx","Int[x^4*(a + b*x)^(3/2)*(A + B*x),x]","\frac{4 a^2 (a+b x)^{9/2} (3 A b-5 a B)}{9 b^6}-\frac{2 a^3 (a+b x)^{7/2} (4 A b-5 a B)}{7 b^6}+\frac{2 a^4 (a+b x)^{5/2} (A b-a B)}{5 b^6}+\frac{2 (a+b x)^{13/2} (A b-5 a B)}{13 b^6}-\frac{4 a (a+b x)^{11/2} (2 A b-5 a B)}{11 b^6}+\frac{2 B (a+b x)^{15/2}}{15 b^6}","\frac{4 a^2 (a+b x)^{9/2} (3 A b-5 a B)}{9 b^6}-\frac{2 a^3 (a+b x)^{7/2} (4 A b-5 a B)}{7 b^6}+\frac{2 a^4 (a+b x)^{5/2} (A b-a B)}{5 b^6}+\frac{2 (a+b x)^{13/2} (A b-5 a B)}{13 b^6}-\frac{4 a (a+b x)^{11/2} (2 A b-5 a B)}{11 b^6}+\frac{2 B (a+b x)^{15/2}}{15 b^6}",1,"(2*a^4*(A*b - a*B)*(a + b*x)^(5/2))/(5*b^6) - (2*a^3*(4*A*b - 5*a*B)*(a + b*x)^(7/2))/(7*b^6) + (4*a^2*(3*A*b - 5*a*B)*(a + b*x)^(9/2))/(9*b^6) - (4*a*(2*A*b - 5*a*B)*(a + b*x)^(11/2))/(11*b^6) + (2*(A*b - 5*a*B)*(a + b*x)^(13/2))/(13*b^6) + (2*B*(a + b*x)^(15/2))/(15*b^6)","A",2,1,18,0.05556,1,"{77}"
399,1,122,0,0.0479089,"\int x^3 (a+b x)^{3/2} (A+B x) \, dx","Int[x^3*(a + b*x)^(3/2)*(A + B*x),x]","\frac{2 a^2 (a+b x)^{7/2} (3 A b-4 a B)}{7 b^5}-\frac{2 a^3 (a+b x)^{5/2} (A b-a B)}{5 b^5}+\frac{2 (a+b x)^{11/2} (A b-4 a B)}{11 b^5}-\frac{2 a (a+b x)^{9/2} (A b-2 a B)}{3 b^5}+\frac{2 B (a+b x)^{13/2}}{13 b^5}","\frac{2 a^2 (a+b x)^{7/2} (3 A b-4 a B)}{7 b^5}-\frac{2 a^3 (a+b x)^{5/2} (A b-a B)}{5 b^5}+\frac{2 (a+b x)^{11/2} (A b-4 a B)}{11 b^5}-\frac{2 a (a+b x)^{9/2} (A b-2 a B)}{3 b^5}+\frac{2 B (a+b x)^{13/2}}{13 b^5}",1,"(-2*a^3*(A*b - a*B)*(a + b*x)^(5/2))/(5*b^5) + (2*a^2*(3*A*b - 4*a*B)*(a + b*x)^(7/2))/(7*b^5) - (2*a*(A*b - 2*a*B)*(a + b*x)^(9/2))/(3*b^5) + (2*(A*b - 4*a*B)*(a + b*x)^(11/2))/(11*b^5) + (2*B*(a + b*x)^(13/2))/(13*b^5)","A",2,1,18,0.05556,1,"{77}"
400,1,95,0,0.0349589,"\int x^2 (a+b x)^{3/2} (A+B x) \, dx","Int[x^2*(a + b*x)^(3/2)*(A + B*x),x]","\frac{2 a^2 (a+b x)^{5/2} (A b-a B)}{5 b^4}+\frac{2 (a+b x)^{9/2} (A b-3 a B)}{9 b^4}-\frac{2 a (a+b x)^{7/2} (2 A b-3 a B)}{7 b^4}+\frac{2 B (a+b x)^{11/2}}{11 b^4}","\frac{2 a^2 (a+b x)^{5/2} (A b-a B)}{5 b^4}+\frac{2 (a+b x)^{9/2} (A b-3 a B)}{9 b^4}-\frac{2 a (a+b x)^{7/2} (2 A b-3 a B)}{7 b^4}+\frac{2 B (a+b x)^{11/2}}{11 b^4}",1,"(2*a^2*(A*b - a*B)*(a + b*x)^(5/2))/(5*b^4) - (2*a*(2*A*b - 3*a*B)*(a + b*x)^(7/2))/(7*b^4) + (2*(A*b - 3*a*B)*(a + b*x)^(9/2))/(9*b^4) + (2*B*(a + b*x)^(11/2))/(11*b^4)","A",2,1,18,0.05556,1,"{77}"
401,1,67,0,0.0246166,"\int x (a+b x)^{3/2} (A+B x) \, dx","Int[x*(a + b*x)^(3/2)*(A + B*x),x]","\frac{2 (a+b x)^{7/2} (A b-2 a B)}{7 b^3}-\frac{2 a (a+b x)^{5/2} (A b-a B)}{5 b^3}+\frac{2 B (a+b x)^{9/2}}{9 b^3}","\frac{2 (a+b x)^{7/2} (A b-2 a B)}{7 b^3}-\frac{2 a (a+b x)^{5/2} (A b-a B)}{5 b^3}+\frac{2 B (a+b x)^{9/2}}{9 b^3}",1,"(-2*a*(A*b - a*B)*(a + b*x)^(5/2))/(5*b^3) + (2*(A*b - 2*a*B)*(a + b*x)^(7/2))/(7*b^3) + (2*B*(a + b*x)^(9/2))/(9*b^3)","A",2,1,16,0.06250,1,"{77}"
402,1,42,0,0.0146335,"\int (a+b x)^{3/2} (A+B x) \, dx","Int[(a + b*x)^(3/2)*(A + B*x),x]","\frac{2 (a+b x)^{5/2} (A b-a B)}{5 b^2}+\frac{2 B (a+b x)^{7/2}}{7 b^2}","\frac{2 (a+b x)^{5/2} (A b-a B)}{5 b^2}+\frac{2 B (a+b x)^{7/2}}{7 b^2}",1,"(2*(A*b - a*B)*(a + b*x)^(5/2))/(5*b^2) + (2*B*(a + b*x)^(7/2))/(7*b^2)","A",2,1,15,0.06667,1,"{43}"
403,1,69,0,0.022515,"\int \frac{(a+b x)^{3/2} (A+B x)}{x} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x,x]","-2 a^{3/2} A \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)+\frac{2}{3} A (a+b x)^{3/2}+2 a A \sqrt{a+b x}+\frac{2 B (a+b x)^{5/2}}{5 b}","-2 a^{3/2} A \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)+\frac{2}{3} A (a+b x)^{3/2}+2 a A \sqrt{a+b x}+\frac{2 B (a+b x)^{5/2}}{5 b}",1,"2*a*A*Sqrt[a + b*x] + (2*A*(a + b*x)^(3/2))/3 + (2*B*(a + b*x)^(5/2))/(5*b) - 2*a^(3/2)*A*ArcTanh[Sqrt[a + b*x]/Sqrt[a]]","A",5,4,18,0.2222,1,"{80, 50, 63, 208}"
404,1,95,0,0.0422989,"\int \frac{(a+b x)^{3/2} (A+B x)}{x^2} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x^2,x]","\frac{(a+b x)^{3/2} (2 a B+3 A b)}{3 a}+\sqrt{a+b x} (2 a B+3 A b)-\sqrt{a} (2 a B+3 A b) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)-\frac{A (a+b x)^{5/2}}{a x}","\frac{(a+b x)^{3/2} (2 a B+3 A b)}{3 a}+\sqrt{a+b x} (2 a B+3 A b)-\sqrt{a} (2 a B+3 A b) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)-\frac{A (a+b x)^{5/2}}{a x}",1,"(3*A*b + 2*a*B)*Sqrt[a + b*x] + ((3*A*b + 2*a*B)*(a + b*x)^(3/2))/(3*a) - (A*(a + b*x)^(5/2))/(a*x) - Sqrt[a]*(3*A*b + 2*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]]","A",5,4,18,0.2222,1,"{78, 50, 63, 208}"
405,1,107,0,0.04583,"\int \frac{(a+b x)^{3/2} (A+B x)}{x^3} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x^3,x]","-\frac{(a+b x)^{3/2} (4 a B+A b)}{4 a x}+\frac{3 b \sqrt{a+b x} (4 a B+A b)}{4 a}-\frac{3 b (4 a B+A b) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{4 \sqrt{a}}-\frac{A (a+b x)^{5/2}}{2 a x^2}","-\frac{(a+b x)^{3/2} (4 a B+A b)}{4 a x}+\frac{3 b \sqrt{a+b x} (4 a B+A b)}{4 a}-\frac{3 b (4 a B+A b) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{4 \sqrt{a}}-\frac{A (a+b x)^{5/2}}{2 a x^2}",1,"(3*b*(A*b + 4*a*B)*Sqrt[a + b*x])/(4*a) - ((A*b + 4*a*B)*(a + b*x)^(3/2))/(4*a*x) - (A*(a + b*x)^(5/2))/(2*a*x^2) - (3*b*(A*b + 4*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(4*Sqrt[a])","A",5,5,18,0.2778,1,"{78, 47, 50, 63, 208}"
406,1,112,0,0.0471317,"\int \frac{(a+b x)^{3/2} (A+B x)}{x^4} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x^4,x]","\frac{b^2 (A b-6 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{8 a^{3/2}}+\frac{(a+b x)^{3/2} (A b-6 a B)}{12 a x^2}+\frac{b \sqrt{a+b x} (A b-6 a B)}{8 a x}-\frac{A (a+b x)^{5/2}}{3 a x^3}","\frac{b^2 (A b-6 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{8 a^{3/2}}+\frac{(a+b x)^{3/2} (A b-6 a B)}{12 a x^2}+\frac{b \sqrt{a+b x} (A b-6 a B)}{8 a x}-\frac{A (a+b x)^{5/2}}{3 a x^3}",1,"(b*(A*b - 6*a*B)*Sqrt[a + b*x])/(8*a*x) + ((A*b - 6*a*B)*(a + b*x)^(3/2))/(12*a*x^2) - (A*(a + b*x)^(5/2))/(3*a*x^3) + (b^2*(A*b - 6*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(8*a^(3/2))","A",5,4,18,0.2222,1,"{78, 47, 63, 208}"
407,1,146,0,0.0633605,"\int \frac{(a+b x)^{3/2} (A+B x)}{x^5} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x^5,x]","\frac{b^2 \sqrt{a+b x} (3 A b-8 a B)}{64 a^2 x}-\frac{b^3 (3 A b-8 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{64 a^{5/2}}+\frac{b \sqrt{a+b x} (3 A b-8 a B)}{32 a x^2}+\frac{(a+b x)^{3/2} (3 A b-8 a B)}{24 a x^3}-\frac{A (a+b x)^{5/2}}{4 a x^4}","\frac{b^2 \sqrt{a+b x} (3 A b-8 a B)}{64 a^2 x}-\frac{b^3 (3 A b-8 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{64 a^{5/2}}+\frac{b \sqrt{a+b x} (3 A b-8 a B)}{32 a x^2}+\frac{(a+b x)^{3/2} (3 A b-8 a B)}{24 a x^3}-\frac{A (a+b x)^{5/2}}{4 a x^4}",1,"(b*(3*A*b - 8*a*B)*Sqrt[a + b*x])/(32*a*x^2) + (b^2*(3*A*b - 8*a*B)*Sqrt[a + b*x])/(64*a^2*x) + ((3*A*b - 8*a*B)*(a + b*x)^(3/2))/(24*a*x^3) - (A*(a + b*x)^(5/2))/(4*a*x^4) - (b^3*(3*A*b - 8*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(64*a^(5/2))","A",6,5,18,0.2778,1,"{78, 47, 51, 63, 208}"
408,1,172,0,0.0804811,"\int \frac{(a+b x)^{3/2} (A+B x)}{x^6} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x^6,x]","\frac{b^2 \sqrt{a+b x} (A b-2 a B)}{64 a^2 x^2}-\frac{3 b^3 \sqrt{a+b x} (A b-2 a B)}{128 a^3 x}+\frac{3 b^4 (A b-2 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{128 a^{7/2}}+\frac{b \sqrt{a+b x} (A b-2 a B)}{16 a x^3}+\frac{(a+b x)^{3/2} (A b-2 a B)}{8 a x^4}-\frac{A (a+b x)^{5/2}}{5 a x^5}","\frac{b^2 \sqrt{a+b x} (A b-2 a B)}{64 a^2 x^2}-\frac{3 b^3 \sqrt{a+b x} (A b-2 a B)}{128 a^3 x}+\frac{3 b^4 (A b-2 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{128 a^{7/2}}+\frac{b \sqrt{a+b x} (A b-2 a B)}{16 a x^3}+\frac{(a+b x)^{3/2} (A b-2 a B)}{8 a x^4}-\frac{A (a+b x)^{5/2}}{5 a x^5}",1,"(b*(A*b - 2*a*B)*Sqrt[a + b*x])/(16*a*x^3) + (b^2*(A*b - 2*a*B)*Sqrt[a + b*x])/(64*a^2*x^2) - (3*b^3*(A*b - 2*a*B)*Sqrt[a + b*x])/(128*a^3*x) + ((A*b - 2*a*B)*(a + b*x)^(3/2))/(8*a*x^4) - (A*(a + b*x)^(5/2))/(5*a*x^5) + (3*b^4*(A*b - 2*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(128*a^(7/2))","A",7,5,18,0.2778,1,"{78, 47, 51, 63, 208}"
409,1,208,0,0.0999218,"\int \frac{(a+b x)^{3/2} (A+B x)}{x^7} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x^7,x]","-\frac{b^3 \sqrt{a+b x} (7 A b-12 a B)}{768 a^3 x^2}+\frac{b^2 \sqrt{a+b x} (7 A b-12 a B)}{960 a^2 x^3}+\frac{b^4 \sqrt{a+b x} (7 A b-12 a B)}{512 a^4 x}-\frac{b^5 (7 A b-12 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{512 a^{9/2}}+\frac{b \sqrt{a+b x} (7 A b-12 a B)}{160 a x^4}+\frac{(a+b x)^{3/2} (7 A b-12 a B)}{60 a x^5}-\frac{A (a+b x)^{5/2}}{6 a x^6}","-\frac{b^3 \sqrt{a+b x} (7 A b-12 a B)}{768 a^3 x^2}+\frac{b^2 \sqrt{a+b x} (7 A b-12 a B)}{960 a^2 x^3}+\frac{b^4 \sqrt{a+b x} (7 A b-12 a B)}{512 a^4 x}-\frac{b^5 (7 A b-12 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{512 a^{9/2}}+\frac{b \sqrt{a+b x} (7 A b-12 a B)}{160 a x^4}+\frac{(a+b x)^{3/2} (7 A b-12 a B)}{60 a x^5}-\frac{A (a+b x)^{5/2}}{6 a x^6}",1,"(b*(7*A*b - 12*a*B)*Sqrt[a + b*x])/(160*a*x^4) + (b^2*(7*A*b - 12*a*B)*Sqrt[a + b*x])/(960*a^2*x^3) - (b^3*(7*A*b - 12*a*B)*Sqrt[a + b*x])/(768*a^3*x^2) + (b^4*(7*A*b - 12*a*B)*Sqrt[a + b*x])/(512*a^4*x) + ((7*A*b - 12*a*B)*(a + b*x)^(3/2))/(60*a*x^5) - (A*(a + b*x)^(5/2))/(6*a*x^6) - (b^5*(7*A*b - 12*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(512*a^(9/2))","A",8,5,18,0.2778,1,"{78, 47, 51, 63, 208}"
410,1,151,0,0.0602927,"\int x^4 (a+b x)^{5/2} (A+B x) \, dx","Int[x^4*(a + b*x)^(5/2)*(A + B*x),x]","\frac{4 a^2 (a+b x)^{11/2} (3 A b-5 a B)}{11 b^6}-\frac{2 a^3 (a+b x)^{9/2} (4 A b-5 a B)}{9 b^6}+\frac{2 a^4 (a+b x)^{7/2} (A b-a B)}{7 b^6}+\frac{2 (a+b x)^{15/2} (A b-5 a B)}{15 b^6}-\frac{4 a (a+b x)^{13/2} (2 A b-5 a B)}{13 b^6}+\frac{2 B (a+b x)^{17/2}}{17 b^6}","\frac{4 a^2 (a+b x)^{11/2} (3 A b-5 a B)}{11 b^6}-\frac{2 a^3 (a+b x)^{9/2} (4 A b-5 a B)}{9 b^6}+\frac{2 a^4 (a+b x)^{7/2} (A b-a B)}{7 b^6}+\frac{2 (a+b x)^{15/2} (A b-5 a B)}{15 b^6}-\frac{4 a (a+b x)^{13/2} (2 A b-5 a B)}{13 b^6}+\frac{2 B (a+b x)^{17/2}}{17 b^6}",1,"(2*a^4*(A*b - a*B)*(a + b*x)^(7/2))/(7*b^6) - (2*a^3*(4*A*b - 5*a*B)*(a + b*x)^(9/2))/(9*b^6) + (4*a^2*(3*A*b - 5*a*B)*(a + b*x)^(11/2))/(11*b^6) - (4*a*(2*A*b - 5*a*B)*(a + b*x)^(13/2))/(13*b^6) + (2*(A*b - 5*a*B)*(a + b*x)^(15/2))/(15*b^6) + (2*B*(a + b*x)^(17/2))/(17*b^6)","A",2,1,18,0.05556,1,"{77}"
411,1,122,0,0.0462946,"\int x^3 (a+b x)^{5/2} (A+B x) \, dx","Int[x^3*(a + b*x)^(5/2)*(A + B*x),x]","\frac{2 a^2 (a+b x)^{9/2} (3 A b-4 a B)}{9 b^5}-\frac{2 a^3 (a+b x)^{7/2} (A b-a B)}{7 b^5}+\frac{2 (a+b x)^{13/2} (A b-4 a B)}{13 b^5}-\frac{6 a (a+b x)^{11/2} (A b-2 a B)}{11 b^5}+\frac{2 B (a+b x)^{15/2}}{15 b^5}","\frac{2 a^2 (a+b x)^{9/2} (3 A b-4 a B)}{9 b^5}-\frac{2 a^3 (a+b x)^{7/2} (A b-a B)}{7 b^5}+\frac{2 (a+b x)^{13/2} (A b-4 a B)}{13 b^5}-\frac{6 a (a+b x)^{11/2} (A b-2 a B)}{11 b^5}+\frac{2 B (a+b x)^{15/2}}{15 b^5}",1,"(-2*a^3*(A*b - a*B)*(a + b*x)^(7/2))/(7*b^5) + (2*a^2*(3*A*b - 4*a*B)*(a + b*x)^(9/2))/(9*b^5) - (6*a*(A*b - 2*a*B)*(a + b*x)^(11/2))/(11*b^5) + (2*(A*b - 4*a*B)*(a + b*x)^(13/2))/(13*b^5) + (2*B*(a + b*x)^(15/2))/(15*b^5)","A",2,1,18,0.05556,1,"{77}"
412,1,95,0,0.0336559,"\int x^2 (a+b x)^{5/2} (A+B x) \, dx","Int[x^2*(a + b*x)^(5/2)*(A + B*x),x]","\frac{2 a^2 (a+b x)^{7/2} (A b-a B)}{7 b^4}+\frac{2 (a+b x)^{11/2} (A b-3 a B)}{11 b^4}-\frac{2 a (a+b x)^{9/2} (2 A b-3 a B)}{9 b^4}+\frac{2 B (a+b x)^{13/2}}{13 b^4}","\frac{2 a^2 (a+b x)^{7/2} (A b-a B)}{7 b^4}+\frac{2 (a+b x)^{11/2} (A b-3 a B)}{11 b^4}-\frac{2 a (a+b x)^{9/2} (2 A b-3 a B)}{9 b^4}+\frac{2 B (a+b x)^{13/2}}{13 b^4}",1,"(2*a^2*(A*b - a*B)*(a + b*x)^(7/2))/(7*b^4) - (2*a*(2*A*b - 3*a*B)*(a + b*x)^(9/2))/(9*b^4) + (2*(A*b - 3*a*B)*(a + b*x)^(11/2))/(11*b^4) + (2*B*(a + b*x)^(13/2))/(13*b^4)","A",2,1,18,0.05556,1,"{77}"
413,1,67,0,0.0238322,"\int x (a+b x)^{5/2} (A+B x) \, dx","Int[x*(a + b*x)^(5/2)*(A + B*x),x]","\frac{2 (a+b x)^{9/2} (A b-2 a B)}{9 b^3}-\frac{2 a (a+b x)^{7/2} (A b-a B)}{7 b^3}+\frac{2 B (a+b x)^{11/2}}{11 b^3}","\frac{2 (a+b x)^{9/2} (A b-2 a B)}{9 b^3}-\frac{2 a (a+b x)^{7/2} (A b-a B)}{7 b^3}+\frac{2 B (a+b x)^{11/2}}{11 b^3}",1,"(-2*a*(A*b - a*B)*(a + b*x)^(7/2))/(7*b^3) + (2*(A*b - 2*a*B)*(a + b*x)^(9/2))/(9*b^3) + (2*B*(a + b*x)^(11/2))/(11*b^3)","A",2,1,16,0.06250,1,"{77}"
414,1,42,0,0.0141924,"\int (a+b x)^{5/2} (A+B x) \, dx","Int[(a + b*x)^(5/2)*(A + B*x),x]","\frac{2 (a+b x)^{7/2} (A b-a B)}{7 b^2}+\frac{2 B (a+b x)^{9/2}}{9 b^2}","\frac{2 (a+b x)^{7/2} (A b-a B)}{7 b^2}+\frac{2 B (a+b x)^{9/2}}{9 b^2}",1,"(2*(A*b - a*B)*(a + b*x)^(7/2))/(7*b^2) + (2*B*(a + b*x)^(9/2))/(9*b^2)","A",2,1,15,0.06667,1,"{43}"
415,1,86,0,0.029255,"\int \frac{(a+b x)^{5/2} (A+B x)}{x} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x,x]","2 a^2 A \sqrt{a+b x}-2 a^{5/2} A \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)+\frac{2}{5} A (a+b x)^{5/2}+\frac{2}{3} a A (a+b x)^{3/2}+\frac{2 B (a+b x)^{7/2}}{7 b}","2 a^2 A \sqrt{a+b x}-2 a^{5/2} A \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)+\frac{2}{5} A (a+b x)^{5/2}+\frac{2}{3} a A (a+b x)^{3/2}+\frac{2 B (a+b x)^{7/2}}{7 b}",1,"2*a^2*A*Sqrt[a + b*x] + (2*a*A*(a + b*x)^(3/2))/3 + (2*A*(a + b*x)^(5/2))/5 + (2*B*(a + b*x)^(7/2))/(7*b) - 2*a^(5/2)*A*ArcTanh[Sqrt[a + b*x]/Sqrt[a]]","A",6,4,18,0.2222,1,"{80, 50, 63, 208}"
416,1,118,0,0.0532098,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^2} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^2,x]","-a^{3/2} (2 a B+5 A b) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)+\frac{(a+b x)^{5/2} (2 a B+5 A b)}{5 a}+\frac{1}{3} (a+b x)^{3/2} (2 a B+5 A b)+a \sqrt{a+b x} (2 a B+5 A b)-\frac{A (a+b x)^{7/2}}{a x}","-a^{3/2} (2 a B+5 A b) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)+\frac{(a+b x)^{5/2} (2 a B+5 A b)}{5 a}+\frac{1}{3} (a+b x)^{3/2} (2 a B+5 A b)+a \sqrt{a+b x} (2 a B+5 A b)-\frac{A (a+b x)^{7/2}}{a x}",1,"a*(5*A*b + 2*a*B)*Sqrt[a + b*x] + ((5*A*b + 2*a*B)*(a + b*x)^(3/2))/3 + ((5*A*b + 2*a*B)*(a + b*x)^(5/2))/(5*a) - (A*(a + b*x)^(7/2))/(a*x) - a^(3/2)*(5*A*b + 2*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]]","A",6,4,18,0.2222,1,"{78, 50, 63, 208}"
417,1,133,0,0.0552384,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^3} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^3,x]","-\frac{(a+b x)^{5/2} (4 a B+3 A b)}{4 a x}+\frac{5 b (a+b x)^{3/2} (4 a B+3 A b)}{12 a}+\frac{5}{4} b \sqrt{a+b x} (4 a B+3 A b)-\frac{5}{4} \sqrt{a} b (4 a B+3 A b) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)-\frac{A (a+b x)^{7/2}}{2 a x^2}","-\frac{(a+b x)^{5/2} (4 a B+3 A b)}{4 a x}+\frac{5 b (a+b x)^{3/2} (4 a B+3 A b)}{12 a}+\frac{5}{4} b \sqrt{a+b x} (4 a B+3 A b)-\frac{5}{4} \sqrt{a} b (4 a B+3 A b) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)-\frac{A (a+b x)^{7/2}}{2 a x^2}",1,"(5*b*(3*A*b + 4*a*B)*Sqrt[a + b*x])/4 + (5*b*(3*A*b + 4*a*B)*(a + b*x)^(3/2))/(12*a) - ((3*A*b + 4*a*B)*(a + b*x)^(5/2))/(4*a*x) - (A*(a + b*x)^(7/2))/(2*a*x^2) - (5*Sqrt[a]*b*(3*A*b + 4*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/4","A",6,5,18,0.2778,1,"{78, 47, 50, 63, 208}"
418,1,139,0,0.0581955,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^4} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^4,x]","\frac{5 b^2 \sqrt{a+b x} (6 a B+A b)}{8 a}-\frac{5 b^2 (6 a B+A b) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{8 \sqrt{a}}-\frac{(a+b x)^{5/2} (6 a B+A b)}{12 a x^2}-\frac{5 b (a+b x)^{3/2} (6 a B+A b)}{24 a x}-\frac{A (a+b x)^{7/2}}{3 a x^3}","\frac{5 b^2 \sqrt{a+b x} (6 a B+A b)}{8 a}-\frac{5 b^2 (6 a B+A b) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{8 \sqrt{a}}-\frac{(a+b x)^{5/2} (6 a B+A b)}{12 a x^2}-\frac{5 b (a+b x)^{3/2} (6 a B+A b)}{24 a x}-\frac{A (a+b x)^{7/2}}{3 a x^3}",1,"(5*b^2*(A*b + 6*a*B)*Sqrt[a + b*x])/(8*a) - (5*b*(A*b + 6*a*B)*(a + b*x)^(3/2))/(24*a*x) - ((A*b + 6*a*B)*(a + b*x)^(5/2))/(12*a*x^2) - (A*(a + b*x)^(7/2))/(3*a*x^3) - (5*b^2*(A*b + 6*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(8*Sqrt[a])","A",6,5,18,0.2778,1,"{78, 47, 50, 63, 208}"
419,1,142,0,0.0673809,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^5} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^5,x]","\frac{5 b^3 (A b-8 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{64 a^{3/2}}+\frac{5 b^2 \sqrt{a+b x} (A b-8 a B)}{64 a x}+\frac{(a+b x)^{5/2} (A b-8 a B)}{24 a x^3}+\frac{5 b (a+b x)^{3/2} (A b-8 a B)}{96 a x^2}-\frac{A (a+b x)^{7/2}}{4 a x^4}","\frac{5 b^3 (A b-8 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{64 a^{3/2}}+\frac{5 b^2 \sqrt{a+b x} (A b-8 a B)}{64 a x}+\frac{(a+b x)^{5/2} (A b-8 a B)}{24 a x^3}+\frac{5 b (a+b x)^{3/2} (A b-8 a B)}{96 a x^2}-\frac{A (a+b x)^{7/2}}{4 a x^4}",1,"(5*b^2*(A*b - 8*a*B)*Sqrt[a + b*x])/(64*a*x) + (5*b*(A*b - 8*a*B)*(a + b*x)^(3/2))/(96*a*x^2) + ((A*b - 8*a*B)*(a + b*x)^(5/2))/(24*a*x^3) - (A*(a + b*x)^(7/2))/(4*a*x^4) + (5*b^3*(A*b - 8*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(64*a^(3/2))","A",6,4,18,0.2222,1,"{78, 47, 63, 208}"
420,1,177,0,0.0809073,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^6} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^6,x]","\frac{b^3 \sqrt{a+b x} (3 A b-10 a B)}{128 a^2 x}-\frac{b^4 (3 A b-10 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{128 a^{5/2}}+\frac{b^2 \sqrt{a+b x} (3 A b-10 a B)}{64 a x^2}+\frac{b (a+b x)^{3/2} (3 A b-10 a B)}{48 a x^3}+\frac{(a+b x)^{5/2} (3 A b-10 a B)}{40 a x^4}-\frac{A (a+b x)^{7/2}}{5 a x^5}","\frac{b^3 \sqrt{a+b x} (3 A b-10 a B)}{128 a^2 x}-\frac{b^4 (3 A b-10 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{128 a^{5/2}}+\frac{b^2 \sqrt{a+b x} (3 A b-10 a B)}{64 a x^2}+\frac{b (a+b x)^{3/2} (3 A b-10 a B)}{48 a x^3}+\frac{(a+b x)^{5/2} (3 A b-10 a B)}{40 a x^4}-\frac{A (a+b x)^{7/2}}{5 a x^5}",1,"(b^2*(3*A*b - 10*a*B)*Sqrt[a + b*x])/(64*a*x^2) + (b^3*(3*A*b - 10*a*B)*Sqrt[a + b*x])/(128*a^2*x) + (b*(3*A*b - 10*a*B)*(a + b*x)^(3/2))/(48*a*x^3) + ((3*A*b - 10*a*B)*(a + b*x)^(5/2))/(40*a*x^4) - (A*(a + b*x)^(7/2))/(5*a*x^5) - (b^4*(3*A*b - 10*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(128*a^(5/2))","A",7,5,18,0.2778,1,"{78, 47, 51, 63, 208}"
421,1,208,0,0.0980468,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^7} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^7,x]","\frac{b^3 \sqrt{a+b x} (5 A b-12 a B)}{768 a^2 x^2}-\frac{b^4 \sqrt{a+b x} (5 A b-12 a B)}{512 a^3 x}+\frac{b^5 (5 A b-12 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{512 a^{7/2}}+\frac{b^2 \sqrt{a+b x} (5 A b-12 a B)}{192 a x^3}+\frac{b (a+b x)^{3/2} (5 A b-12 a B)}{96 a x^4}+\frac{(a+b x)^{5/2} (5 A b-12 a B)}{60 a x^5}-\frac{A (a+b x)^{7/2}}{6 a x^6}","\frac{b^3 \sqrt{a+b x} (5 A b-12 a B)}{768 a^2 x^2}-\frac{b^4 \sqrt{a+b x} (5 A b-12 a B)}{512 a^3 x}+\frac{b^5 (5 A b-12 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{512 a^{7/2}}+\frac{b^2 \sqrt{a+b x} (5 A b-12 a B)}{192 a x^3}+\frac{b (a+b x)^{3/2} (5 A b-12 a B)}{96 a x^4}+\frac{(a+b x)^{5/2} (5 A b-12 a B)}{60 a x^5}-\frac{A (a+b x)^{7/2}}{6 a x^6}",1,"(b^2*(5*A*b - 12*a*B)*Sqrt[a + b*x])/(192*a*x^3) + (b^3*(5*A*b - 12*a*B)*Sqrt[a + b*x])/(768*a^2*x^2) - (b^4*(5*A*b - 12*a*B)*Sqrt[a + b*x])/(512*a^3*x) + (b*(5*A*b - 12*a*B)*(a + b*x)^(3/2))/(96*a*x^4) + ((5*A*b - 12*a*B)*(a + b*x)^(5/2))/(60*a*x^5) - (A*(a + b*x)^(7/2))/(6*a*x^6) + (b^5*(5*A*b - 12*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(512*a^(7/2))","A",8,5,18,0.2778,1,"{78, 47, 51, 63, 208}"
422,1,232,0,0.1155984,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^8} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^8,x]","-\frac{5 b^4 \sqrt{a+b x} (A b-2 a B)}{1536 a^3 x^2}+\frac{b^3 \sqrt{a+b x} (A b-2 a B)}{384 a^2 x^3}+\frac{5 b^5 \sqrt{a+b x} (A b-2 a B)}{1024 a^4 x}-\frac{5 b^6 (A b-2 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{1024 a^{9/2}}+\frac{b^2 \sqrt{a+b x} (A b-2 a B)}{64 a x^4}+\frac{b (a+b x)^{3/2} (A b-2 a B)}{24 a x^5}+\frac{(a+b x)^{5/2} (A b-2 a B)}{12 a x^6}-\frac{A (a+b x)^{7/2}}{7 a x^7}","-\frac{5 b^4 \sqrt{a+b x} (A b-2 a B)}{1536 a^3 x^2}+\frac{b^3 \sqrt{a+b x} (A b-2 a B)}{384 a^2 x^3}+\frac{5 b^5 \sqrt{a+b x} (A b-2 a B)}{1024 a^4 x}-\frac{5 b^6 (A b-2 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{1024 a^{9/2}}+\frac{b^2 \sqrt{a+b x} (A b-2 a B)}{64 a x^4}+\frac{b (a+b x)^{3/2} (A b-2 a B)}{24 a x^5}+\frac{(a+b x)^{5/2} (A b-2 a B)}{12 a x^6}-\frac{A (a+b x)^{7/2}}{7 a x^7}",1,"(b^2*(A*b - 2*a*B)*Sqrt[a + b*x])/(64*a*x^4) + (b^3*(A*b - 2*a*B)*Sqrt[a + b*x])/(384*a^2*x^3) - (5*b^4*(A*b - 2*a*B)*Sqrt[a + b*x])/(1536*a^3*x^2) + (5*b^5*(A*b - 2*a*B)*Sqrt[a + b*x])/(1024*a^4*x) + (b*(A*b - 2*a*B)*(a + b*x)^(3/2))/(24*a*x^5) + ((A*b - 2*a*B)*(a + b*x)^(5/2))/(12*a*x^6) - (A*(a + b*x)^(7/2))/(7*a*x^7) - (5*b^6*(A*b - 2*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(1024*a^(9/2))","A",9,5,18,0.2778,1,"{78, 47, 51, 63, 208}"
423,1,149,0,0.0571883,"\int \frac{x^4 (A+B x)}{\sqrt{a+b x}} \, dx","Int[(x^4*(A + B*x))/Sqrt[a + b*x],x]","\frac{4 a^2 (a+b x)^{5/2} (3 A b-5 a B)}{5 b^6}-\frac{2 a^3 (a+b x)^{3/2} (4 A b-5 a B)}{3 b^6}+\frac{2 a^4 \sqrt{a+b x} (A b-a B)}{b^6}+\frac{2 (a+b x)^{9/2} (A b-5 a B)}{9 b^6}-\frac{4 a (a+b x)^{7/2} (2 A b-5 a B)}{7 b^6}+\frac{2 B (a+b x)^{11/2}}{11 b^6}","\frac{4 a^2 (a+b x)^{5/2} (3 A b-5 a B)}{5 b^6}-\frac{2 a^3 (a+b x)^{3/2} (4 A b-5 a B)}{3 b^6}+\frac{2 a^4 \sqrt{a+b x} (A b-a B)}{b^6}+\frac{2 (a+b x)^{9/2} (A b-5 a B)}{9 b^6}-\frac{4 a (a+b x)^{7/2} (2 A b-5 a B)}{7 b^6}+\frac{2 B (a+b x)^{11/2}}{11 b^6}",1,"(2*a^4*(A*b - a*B)*Sqrt[a + b*x])/b^6 - (2*a^3*(4*A*b - 5*a*B)*(a + b*x)^(3/2))/(3*b^6) + (4*a^2*(3*A*b - 5*a*B)*(a + b*x)^(5/2))/(5*b^6) - (4*a*(2*A*b - 5*a*B)*(a + b*x)^(7/2))/(7*b^6) + (2*(A*b - 5*a*B)*(a + b*x)^(9/2))/(9*b^6) + (2*B*(a + b*x)^(11/2))/(11*b^6)","A",2,1,18,0.05556,1,"{77}"
424,1,120,0,0.0482359,"\int \frac{x^3 (A+B x)}{\sqrt{a+b x}} \, dx","Int[(x^3*(A + B*x))/Sqrt[a + b*x],x]","\frac{2 a^2 (a+b x)^{3/2} (3 A b-4 a B)}{3 b^5}-\frac{2 a^3 \sqrt{a+b x} (A b-a B)}{b^5}+\frac{2 (a+b x)^{7/2} (A b-4 a B)}{7 b^5}-\frac{6 a (a+b x)^{5/2} (A b-2 a B)}{5 b^5}+\frac{2 B (a+b x)^{9/2}}{9 b^5}","\frac{2 a^2 (a+b x)^{3/2} (3 A b-4 a B)}{3 b^5}-\frac{2 a^3 \sqrt{a+b x} (A b-a B)}{b^5}+\frac{2 (a+b x)^{7/2} (A b-4 a B)}{7 b^5}-\frac{6 a (a+b x)^{5/2} (A b-2 a B)}{5 b^5}+\frac{2 B (a+b x)^{9/2}}{9 b^5}",1,"(-2*a^3*(A*b - a*B)*Sqrt[a + b*x])/b^5 + (2*a^2*(3*A*b - 4*a*B)*(a + b*x)^(3/2))/(3*b^5) - (6*a*(A*b - 2*a*B)*(a + b*x)^(5/2))/(5*b^5) + (2*(A*b - 4*a*B)*(a + b*x)^(7/2))/(7*b^5) + (2*B*(a + b*x)^(9/2))/(9*b^5)","A",2,1,18,0.05556,1,"{77}"
425,1,93,0,0.0354413,"\int \frac{x^2 (A+B x)}{\sqrt{a+b x}} \, dx","Int[(x^2*(A + B*x))/Sqrt[a + b*x],x]","\frac{2 a^2 \sqrt{a+b x} (A b-a B)}{b^4}+\frac{2 (a+b x)^{5/2} (A b-3 a B)}{5 b^4}-\frac{2 a (a+b x)^{3/2} (2 A b-3 a B)}{3 b^4}+\frac{2 B (a+b x)^{7/2}}{7 b^4}","\frac{2 a^2 \sqrt{a+b x} (A b-a B)}{b^4}+\frac{2 (a+b x)^{5/2} (A b-3 a B)}{5 b^4}-\frac{2 a (a+b x)^{3/2} (2 A b-3 a B)}{3 b^4}+\frac{2 B (a+b x)^{7/2}}{7 b^4}",1,"(2*a^2*(A*b - a*B)*Sqrt[a + b*x])/b^4 - (2*a*(2*A*b - 3*a*B)*(a + b*x)^(3/2))/(3*b^4) + (2*(A*b - 3*a*B)*(a + b*x)^(5/2))/(5*b^4) + (2*B*(a + b*x)^(7/2))/(7*b^4)","A",2,1,18,0.05556,1,"{77}"
426,1,65,0,0.024601,"\int \frac{x (A+B x)}{\sqrt{a+b x}} \, dx","Int[(x*(A + B*x))/Sqrt[a + b*x],x]","\frac{2 (a+b x)^{3/2} (A b-2 a B)}{3 b^3}-\frac{2 a \sqrt{a+b x} (A b-a B)}{b^3}+\frac{2 B (a+b x)^{5/2}}{5 b^3}","\frac{2 (a+b x)^{3/2} (A b-2 a B)}{3 b^3}-\frac{2 a \sqrt{a+b x} (A b-a B)}{b^3}+\frac{2 B (a+b x)^{5/2}}{5 b^3}",1,"(-2*a*(A*b - a*B)*Sqrt[a + b*x])/b^3 + (2*(A*b - 2*a*B)*(a + b*x)^(3/2))/(3*b^3) + (2*B*(a + b*x)^(5/2))/(5*b^3)","A",2,1,16,0.06250,1,"{77}"
427,1,40,0,0.0129595,"\int \frac{A+B x}{\sqrt{a+b x}} \, dx","Int[(A + B*x)/Sqrt[a + b*x],x]","\frac{2 \sqrt{a+b x} (A b-a B)}{b^2}+\frac{2 B (a+b x)^{3/2}}{3 b^2}","\frac{2 \sqrt{a+b x} (A b-a B)}{b^2}+\frac{2 B (a+b x)^{3/2}}{3 b^2}",1,"(2*(A*b - a*B)*Sqrt[a + b*x])/b^2 + (2*B*(a + b*x)^(3/2))/(3*b^2)","A",2,1,15,0.06667,1,"{43}"
428,1,40,0,0.0115786,"\int \frac{A+B x}{x \sqrt{a+b x}} \, dx","Int[(A + B*x)/(x*Sqrt[a + b*x]),x]","\frac{2 B \sqrt{a+b x}}{b}-\frac{2 A \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{\sqrt{a}}","\frac{2 B \sqrt{a+b x}}{b}-\frac{2 A \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{\sqrt{a}}",1,"(2*B*Sqrt[a + b*x])/b - (2*A*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/Sqrt[a]","A",3,3,18,0.1667,1,"{80, 63, 208}"
429,1,49,0,0.0218117,"\int \frac{A+B x}{x^2 \sqrt{a+b x}} \, dx","Int[(A + B*x)/(x^2*Sqrt[a + b*x]),x]","\frac{(A b-2 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{a^{3/2}}-\frac{A \sqrt{a+b x}}{a x}","\frac{(A b-2 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{a^{3/2}}-\frac{A \sqrt{a+b x}}{a x}",1,"-((A*Sqrt[a + b*x])/(a*x)) + ((A*b - 2*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/a^(3/2)","A",3,3,18,0.1667,1,"{78, 63, 208}"
430,1,84,0,0.0347658,"\int \frac{A+B x}{x^3 \sqrt{a+b x}} \, dx","Int[(A + B*x)/(x^3*Sqrt[a + b*x]),x]","\frac{\sqrt{a+b x} (3 A b-4 a B)}{4 a^2 x}-\frac{b (3 A b-4 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{4 a^{5/2}}-\frac{A \sqrt{a+b x}}{2 a x^2}","\frac{\sqrt{a+b x} (3 A b-4 a B)}{4 a^2 x}-\frac{b (3 A b-4 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{4 a^{5/2}}-\frac{A \sqrt{a+b x}}{2 a x^2}",1,"-(A*Sqrt[a + b*x])/(2*a*x^2) + ((3*A*b - 4*a*B)*Sqrt[a + b*x])/(4*a^2*x) - (b*(3*A*b - 4*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(4*a^(5/2))","A",4,4,18,0.2222,1,"{78, 51, 63, 208}"
431,1,115,0,0.04895,"\int \frac{A+B x}{x^4 \sqrt{a+b x}} \, dx","Int[(A + B*x)/(x^4*Sqrt[a + b*x]),x]","\frac{b^2 (5 A b-6 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{8 a^{7/2}}+\frac{\sqrt{a+b x} (5 A b-6 a B)}{12 a^2 x^2}-\frac{b \sqrt{a+b x} (5 A b-6 a B)}{8 a^3 x}-\frac{A \sqrt{a+b x}}{3 a x^3}","\frac{b^2 (5 A b-6 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{8 a^{7/2}}+\frac{\sqrt{a+b x} (5 A b-6 a B)}{12 a^2 x^2}-\frac{b \sqrt{a+b x} (5 A b-6 a B)}{8 a^3 x}-\frac{A \sqrt{a+b x}}{3 a x^3}",1,"-(A*Sqrt[a + b*x])/(3*a*x^3) + ((5*A*b - 6*a*B)*Sqrt[a + b*x])/(12*a^2*x^2) - (b*(5*A*b - 6*a*B)*Sqrt[a + b*x])/(8*a^3*x) + (b^2*(5*A*b - 6*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(8*a^(7/2))","A",5,4,18,0.2222,1,"{78, 51, 63, 208}"
432,1,146,0,0.0629986,"\int \frac{A+B x}{x^5 \sqrt{a+b x}} \, dx","Int[(A + B*x)/(x^5*Sqrt[a + b*x]),x]","\frac{5 b^2 \sqrt{a+b x} (7 A b-8 a B)}{64 a^4 x}-\frac{5 b^3 (7 A b-8 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{64 a^{9/2}}-\frac{5 b \sqrt{a+b x} (7 A b-8 a B)}{96 a^3 x^2}+\frac{\sqrt{a+b x} (7 A b-8 a B)}{24 a^2 x^3}-\frac{A \sqrt{a+b x}}{4 a x^4}","\frac{5 b^2 \sqrt{a+b x} (7 A b-8 a B)}{64 a^4 x}-\frac{5 b^3 (7 A b-8 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{64 a^{9/2}}-\frac{5 b \sqrt{a+b x} (7 A b-8 a B)}{96 a^3 x^2}+\frac{\sqrt{a+b x} (7 A b-8 a B)}{24 a^2 x^3}-\frac{A \sqrt{a+b x}}{4 a x^4}",1,"-(A*Sqrt[a + b*x])/(4*a*x^4) + ((7*A*b - 8*a*B)*Sqrt[a + b*x])/(24*a^2*x^3) - (5*b*(7*A*b - 8*a*B)*Sqrt[a + b*x])/(96*a^3*x^2) + (5*b^2*(7*A*b - 8*a*B)*Sqrt[a + b*x])/(64*a^4*x) - (5*b^3*(7*A*b - 8*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(64*a^(9/2))","A",6,4,18,0.2222,1,"{78, 51, 63, 208}"
433,1,177,0,0.079705,"\int \frac{A+B x}{x^6 \sqrt{a+b x}} \, dx","Int[(A + B*x)/(x^6*Sqrt[a + b*x]),x]","\frac{7 b^2 \sqrt{a+b x} (9 A b-10 a B)}{192 a^4 x^2}-\frac{7 b^3 \sqrt{a+b x} (9 A b-10 a B)}{128 a^5 x}+\frac{7 b^4 (9 A b-10 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{128 a^{11/2}}-\frac{7 b \sqrt{a+b x} (9 A b-10 a B)}{240 a^3 x^3}+\frac{\sqrt{a+b x} (9 A b-10 a B)}{40 a^2 x^4}-\frac{A \sqrt{a+b x}}{5 a x^5}","\frac{7 b^2 \sqrt{a+b x} (9 A b-10 a B)}{192 a^4 x^2}-\frac{7 b^3 \sqrt{a+b x} (9 A b-10 a B)}{128 a^5 x}+\frac{7 b^4 (9 A b-10 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{128 a^{11/2}}-\frac{7 b \sqrt{a+b x} (9 A b-10 a B)}{240 a^3 x^3}+\frac{\sqrt{a+b x} (9 A b-10 a B)}{40 a^2 x^4}-\frac{A \sqrt{a+b x}}{5 a x^5}",1,"-(A*Sqrt[a + b*x])/(5*a*x^5) + ((9*A*b - 10*a*B)*Sqrt[a + b*x])/(40*a^2*x^4) - (7*b*(9*A*b - 10*a*B)*Sqrt[a + b*x])/(240*a^3*x^3) + (7*b^2*(9*A*b - 10*a*B)*Sqrt[a + b*x])/(192*a^4*x^2) - (7*b^3*(9*A*b - 10*a*B)*Sqrt[a + b*x])/(128*a^5*x) + (7*b^4*(9*A*b - 10*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(128*a^(11/2))","A",7,4,18,0.2222,1,"{78, 51, 63, 208}"
434,1,147,0,0.060773,"\int \frac{x^4 (A+B x)}{(a+b x)^{3/2}} \, dx","Int[(x^4*(A + B*x))/(a + b*x)^(3/2),x]","\frac{4 a^2 (a+b x)^{3/2} (3 A b-5 a B)}{3 b^6}-\frac{2 a^3 \sqrt{a+b x} (4 A b-5 a B)}{b^6}-\frac{2 a^4 (A b-a B)}{b^6 \sqrt{a+b x}}+\frac{2 (a+b x)^{7/2} (A b-5 a B)}{7 b^6}-\frac{4 a (a+b x)^{5/2} (2 A b-5 a B)}{5 b^6}+\frac{2 B (a+b x)^{9/2}}{9 b^6}","\frac{4 a^2 (a+b x)^{3/2} (3 A b-5 a B)}{3 b^6}-\frac{2 a^3 \sqrt{a+b x} (4 A b-5 a B)}{b^6}-\frac{2 a^4 (A b-a B)}{b^6 \sqrt{a+b x}}+\frac{2 (a+b x)^{7/2} (A b-5 a B)}{7 b^6}-\frac{4 a (a+b x)^{5/2} (2 A b-5 a B)}{5 b^6}+\frac{2 B (a+b x)^{9/2}}{9 b^6}",1,"(-2*a^4*(A*b - a*B))/(b^6*Sqrt[a + b*x]) - (2*a^3*(4*A*b - 5*a*B)*Sqrt[a + b*x])/b^6 + (4*a^2*(3*A*b - 5*a*B)*(a + b*x)^(3/2))/(3*b^6) - (4*a*(2*A*b - 5*a*B)*(a + b*x)^(5/2))/(5*b^6) + (2*(A*b - 5*a*B)*(a + b*x)^(7/2))/(7*b^6) + (2*B*(a + b*x)^(9/2))/(9*b^6)","A",2,1,18,0.05556,1,"{77}"
435,1,116,0,0.0429877,"\int \frac{x^3 (A+B x)}{(a+b x)^{3/2}} \, dx","Int[(x^3*(A + B*x))/(a + b*x)^(3/2),x]","\frac{2 a^2 \sqrt{a+b x} (3 A b-4 a B)}{b^5}+\frac{2 a^3 (A b-a B)}{b^5 \sqrt{a+b x}}+\frac{2 (a+b x)^{5/2} (A b-4 a B)}{5 b^5}-\frac{2 a (a+b x)^{3/2} (A b-2 a B)}{b^5}+\frac{2 B (a+b x)^{7/2}}{7 b^5}","\frac{2 a^2 \sqrt{a+b x} (3 A b-4 a B)}{b^5}+\frac{2 a^3 (A b-a B)}{b^5 \sqrt{a+b x}}+\frac{2 (a+b x)^{5/2} (A b-4 a B)}{5 b^5}-\frac{2 a (a+b x)^{3/2} (A b-2 a B)}{b^5}+\frac{2 B (a+b x)^{7/2}}{7 b^5}",1,"(2*a^3*(A*b - a*B))/(b^5*Sqrt[a + b*x]) + (2*a^2*(3*A*b - 4*a*B)*Sqrt[a + b*x])/b^5 - (2*a*(A*b - 2*a*B)*(a + b*x)^(3/2))/b^5 + (2*(A*b - 4*a*B)*(a + b*x)^(5/2))/(5*b^5) + (2*B*(a + b*x)^(7/2))/(7*b^5)","A",2,1,18,0.05556,1,"{77}"
436,1,91,0,0.0342253,"\int \frac{x^2 (A+B x)}{(a+b x)^{3/2}} \, dx","Int[(x^2*(A + B*x))/(a + b*x)^(3/2),x]","-\frac{2 a^2 (A b-a B)}{b^4 \sqrt{a+b x}}+\frac{2 (a+b x)^{3/2} (A b-3 a B)}{3 b^4}-\frac{2 a \sqrt{a+b x} (2 A b-3 a B)}{b^4}+\frac{2 B (a+b x)^{5/2}}{5 b^4}","-\frac{2 a^2 (A b-a B)}{b^4 \sqrt{a+b x}}+\frac{2 (a+b x)^{3/2} (A b-3 a B)}{3 b^4}-\frac{2 a \sqrt{a+b x} (2 A b-3 a B)}{b^4}+\frac{2 B (a+b x)^{5/2}}{5 b^4}",1,"(-2*a^2*(A*b - a*B))/(b^4*Sqrt[a + b*x]) - (2*a*(2*A*b - 3*a*B)*Sqrt[a + b*x])/b^4 + (2*(A*b - 3*a*B)*(a + b*x)^(3/2))/(3*b^4) + (2*B*(a + b*x)^(5/2))/(5*b^4)","A",2,1,18,0.05556,1,"{77}"
437,1,63,0,0.0238114,"\int \frac{x (A+B x)}{(a+b x)^{3/2}} \, dx","Int[(x*(A + B*x))/(a + b*x)^(3/2),x]","\frac{2 \sqrt{a+b x} (A b-2 a B)}{b^3}+\frac{2 a (A b-a B)}{b^3 \sqrt{a+b x}}+\frac{2 B (a+b x)^{3/2}}{3 b^3}","\frac{2 \sqrt{a+b x} (A b-2 a B)}{b^3}+\frac{2 a (A b-a B)}{b^3 \sqrt{a+b x}}+\frac{2 B (a+b x)^{3/2}}{3 b^3}",1,"(2*a*(A*b - a*B))/(b^3*Sqrt[a + b*x]) + (2*(A*b - 2*a*B)*Sqrt[a + b*x])/b^3 + (2*B*(a + b*x)^(3/2))/(3*b^3)","A",2,1,16,0.06250,1,"{77}"
438,1,38,0,0.0133618,"\int \frac{A+B x}{(a+b x)^{3/2}} \, dx","Int[(A + B*x)/(a + b*x)^(3/2),x]","\frac{2 B \sqrt{a+b x}}{b^2}-\frac{2 (A b-a B)}{b^2 \sqrt{a+b x}}","\frac{2 B \sqrt{a+b x}}{b^2}-\frac{2 (A b-a B)}{b^2 \sqrt{a+b x}}",1,"(-2*(A*b - a*B))/(b^2*Sqrt[a + b*x]) + (2*B*Sqrt[a + b*x])/b^2","A",2,1,15,0.06667,1,"{43}"
439,1,50,0,0.0150914,"\int \frac{A+B x}{x (a+b x)^{3/2}} \, dx","Int[(A + B*x)/(x*(a + b*x)^(3/2)),x]","\frac{2 (A b-a B)}{a b \sqrt{a+b x}}-\frac{2 A \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{a^{3/2}}","\frac{2 (A b-a B)}{a b \sqrt{a+b x}}-\frac{2 A \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{a^{3/2}}",1,"(2*(A*b - a*B))/(a*b*Sqrt[a + b*x]) - (2*A*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/a^(3/2)","A",3,3,18,0.1667,1,"{78, 63, 208}"
440,1,73,0,0.0344757,"\int \frac{A+B x}{x^2 (a+b x)^{3/2}} \, dx","Int[(A + B*x)/(x^2*(a + b*x)^(3/2)),x]","-\frac{3 A b-2 a B}{a^2 \sqrt{a+b x}}+\frac{(3 A b-2 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{a^{5/2}}-\frac{A}{a x \sqrt{a+b x}}","-\frac{3 A b-2 a B}{a^2 \sqrt{a+b x}}+\frac{(3 A b-2 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{a^{5/2}}-\frac{A}{a x \sqrt{a+b x}}",1,"-((3*A*b - 2*a*B)/(a^2*Sqrt[a + b*x])) - A/(a*x*Sqrt[a + b*x]) + ((3*A*b - 2*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/a^(5/2)","A",4,4,18,0.2222,1,"{78, 51, 63, 208}"
441,1,112,0,0.0445824,"\int \frac{A+B x}{x^3 (a+b x)^{3/2}} \, dx","Int[(A + B*x)/(x^3*(a + b*x)^(3/2)),x]","\frac{3 \sqrt{a+b x} (5 A b-4 a B)}{4 a^3 x}-\frac{5 A b-4 a B}{2 a^2 x \sqrt{a+b x}}-\frac{3 b (5 A b-4 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{4 a^{7/2}}-\frac{A}{2 a x^2 \sqrt{a+b x}}","\frac{3 b (5 A b-4 a B)}{4 a^3 \sqrt{a+b x}}+\frac{5 A b-4 a B}{4 a^2 x \sqrt{a+b x}}-\frac{3 b (5 A b-4 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{4 a^{7/2}}-\frac{A}{2 a x^2 \sqrt{a+b x}}",1,"-A/(2*a*x^2*Sqrt[a + b*x]) - (5*A*b - 4*a*B)/(2*a^2*x*Sqrt[a + b*x]) + (3*(5*A*b - 4*a*B)*Sqrt[a + b*x])/(4*a^3*x) - (3*b*(5*A*b - 4*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(4*a^(7/2))","A",5,4,18,0.2222,1,"{78, 51, 63, 208}"
442,1,143,0,0.0605418,"\int \frac{A+B x}{x^4 (a+b x)^{3/2}} \, dx","Int[(A + B*x)/(x^4*(a + b*x)^(3/2)),x]","\frac{5 b^2 (7 A b-6 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{8 a^{9/2}}+\frac{5 \sqrt{a+b x} (7 A b-6 a B)}{12 a^3 x^2}-\frac{7 A b-6 a B}{3 a^2 x^2 \sqrt{a+b x}}-\frac{5 b \sqrt{a+b x} (7 A b-6 a B)}{8 a^4 x}-\frac{A}{3 a x^3 \sqrt{a+b x}}","-\frac{5 b^2 (7 A b-6 a B)}{8 a^4 \sqrt{a+b x}}+\frac{5 b^2 (7 A b-6 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{8 a^{9/2}}+\frac{7 A b-6 a B}{12 a^2 x^2 \sqrt{a+b x}}-\frac{5 b (7 A b-6 a B)}{24 a^3 x \sqrt{a+b x}}-\frac{A}{3 a x^3 \sqrt{a+b x}}",1,"-A/(3*a*x^3*Sqrt[a + b*x]) - (7*A*b - 6*a*B)/(3*a^2*x^2*Sqrt[a + b*x]) + (5*(7*A*b - 6*a*B)*Sqrt[a + b*x])/(12*a^3*x^2) - (5*b*(7*A*b - 6*a*B)*Sqrt[a + b*x])/(8*a^4*x) + (5*b^2*(7*A*b - 6*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(8*a^(9/2))","A",6,4,18,0.2222,1,"{78, 51, 63, 208}"
443,1,174,0,0.0795249,"\int \frac{A+B x}{x^5 (a+b x)^{3/2}} \, dx","Int[(A + B*x)/(x^5*(a + b*x)^(3/2)),x]","\frac{35 b^2 \sqrt{a+b x} (9 A b-8 a B)}{64 a^5 x}-\frac{35 b^3 (9 A b-8 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{64 a^{11/2}}-\frac{35 b \sqrt{a+b x} (9 A b-8 a B)}{96 a^4 x^2}+\frac{7 \sqrt{a+b x} (9 A b-8 a B)}{24 a^3 x^3}-\frac{9 A b-8 a B}{4 a^2 x^3 \sqrt{a+b x}}-\frac{A}{4 a x^4 \sqrt{a+b x}}","\frac{35 b^3 (9 A b-8 a B)}{64 a^5 \sqrt{a+b x}}+\frac{35 b^2 (9 A b-8 a B)}{192 a^4 x \sqrt{a+b x}}-\frac{35 b^3 (9 A b-8 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{64 a^{11/2}}-\frac{7 b (9 A b-8 a B)}{96 a^3 x^2 \sqrt{a+b x}}+\frac{9 A b-8 a B}{24 a^2 x^3 \sqrt{a+b x}}-\frac{A}{4 a x^4 \sqrt{a+b x}}",1,"-A/(4*a*x^4*Sqrt[a + b*x]) - (9*A*b - 8*a*B)/(4*a^2*x^3*Sqrt[a + b*x]) + (7*(9*A*b - 8*a*B)*Sqrt[a + b*x])/(24*a^3*x^3) - (35*b*(9*A*b - 8*a*B)*Sqrt[a + b*x])/(96*a^4*x^2) + (35*b^2*(9*A*b - 8*a*B)*Sqrt[a + b*x])/(64*a^5*x) - (35*b^3*(9*A*b - 8*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(64*a^(11/2))","A",7,4,18,0.2222,1,"{78, 51, 63, 208}"
444,1,147,0,0.0620635,"\int \frac{x^4 (A+B x)}{(a+b x)^{5/2}} \, dx","Int[(x^4*(A + B*x))/(a + b*x)^(5/2),x]","-\frac{2 a^4 (A b-a B)}{3 b^6 (a+b x)^{3/2}}+\frac{2 a^3 (4 A b-5 a B)}{b^6 \sqrt{a+b x}}+\frac{4 a^2 \sqrt{a+b x} (3 A b-5 a B)}{b^6}-\frac{4 a (a+b x)^{3/2} (2 A b-5 a B)}{3 b^6}+\frac{2 (a+b x)^{5/2} (A b-5 a B)}{5 b^6}+\frac{2 B (a+b x)^{7/2}}{7 b^6}","-\frac{2 a^4 (A b-a B)}{3 b^6 (a+b x)^{3/2}}+\frac{2 a^3 (4 A b-5 a B)}{b^6 \sqrt{a+b x}}+\frac{4 a^2 \sqrt{a+b x} (3 A b-5 a B)}{b^6}-\frac{4 a (a+b x)^{3/2} (2 A b-5 a B)}{3 b^6}+\frac{2 (a+b x)^{5/2} (A b-5 a B)}{5 b^6}+\frac{2 B (a+b x)^{7/2}}{7 b^6}",1,"(-2*a^4*(A*b - a*B))/(3*b^6*(a + b*x)^(3/2)) + (2*a^3*(4*A*b - 5*a*B))/(b^6*Sqrt[a + b*x]) + (4*a^2*(3*A*b - 5*a*B)*Sqrt[a + b*x])/b^6 - (4*a*(2*A*b - 5*a*B)*(a + b*x)^(3/2))/(3*b^6) + (2*(A*b - 5*a*B)*(a + b*x)^(5/2))/(5*b^6) + (2*B*(a + b*x)^(7/2))/(7*b^6)","A",2,1,18,0.05556,1,"{77}"
445,1,118,0,0.0463162,"\int \frac{x^3 (A+B x)}{(a+b x)^{5/2}} \, dx","Int[(x^3*(A + B*x))/(a + b*x)^(5/2),x]","\frac{2 a^3 (A b-a B)}{3 b^5 (a+b x)^{3/2}}-\frac{2 a^2 (3 A b-4 a B)}{b^5 \sqrt{a+b x}}-\frac{6 a \sqrt{a+b x} (A b-2 a B)}{b^5}+\frac{2 (a+b x)^{3/2} (A b-4 a B)}{3 b^5}+\frac{2 B (a+b x)^{5/2}}{5 b^5}","\frac{2 a^3 (A b-a B)}{3 b^5 (a+b x)^{3/2}}-\frac{2 a^2 (3 A b-4 a B)}{b^5 \sqrt{a+b x}}-\frac{6 a \sqrt{a+b x} (A b-2 a B)}{b^5}+\frac{2 (a+b x)^{3/2} (A b-4 a B)}{3 b^5}+\frac{2 B (a+b x)^{5/2}}{5 b^5}",1,"(2*a^3*(A*b - a*B))/(3*b^5*(a + b*x)^(3/2)) - (2*a^2*(3*A*b - 4*a*B))/(b^5*Sqrt[a + b*x]) - (6*a*(A*b - 2*a*B)*Sqrt[a + b*x])/b^5 + (2*(A*b - 4*a*B)*(a + b*x)^(3/2))/(3*b^5) + (2*B*(a + b*x)^(5/2))/(5*b^5)","A",2,1,18,0.05556,1,"{77}"
446,1,91,0,0.0384888,"\int \frac{x^2 (A+B x)}{(a+b x)^{5/2}} \, dx","Int[(x^2*(A + B*x))/(a + b*x)^(5/2),x]","-\frac{2 a^2 (A b-a B)}{3 b^4 (a+b x)^{3/2}}+\frac{2 a (2 A b-3 a B)}{b^4 \sqrt{a+b x}}+\frac{2 \sqrt{a+b x} (A b-3 a B)}{b^4}+\frac{2 B (a+b x)^{3/2}}{3 b^4}","-\frac{2 a^2 (A b-a B)}{3 b^4 (a+b x)^{3/2}}+\frac{2 a (2 A b-3 a B)}{b^4 \sqrt{a+b x}}+\frac{2 \sqrt{a+b x} (A b-3 a B)}{b^4}+\frac{2 B (a+b x)^{3/2}}{3 b^4}",1,"(-2*a^2*(A*b - a*B))/(3*b^4*(a + b*x)^(3/2)) + (2*a*(2*A*b - 3*a*B))/(b^4*Sqrt[a + b*x]) + (2*(A*b - 3*a*B)*Sqrt[a + b*x])/b^4 + (2*B*(a + b*x)^(3/2))/(3*b^4)","A",2,1,18,0.05556,1,"{77}"
447,1,63,0,0.0250434,"\int \frac{x (A+B x)}{(a+b x)^{5/2}} \, dx","Int[(x*(A + B*x))/(a + b*x)^(5/2),x]","-\frac{2 (A b-2 a B)}{b^3 \sqrt{a+b x}}+\frac{2 a (A b-a B)}{3 b^3 (a+b x)^{3/2}}+\frac{2 B \sqrt{a+b x}}{b^3}","-\frac{2 (A b-2 a B)}{b^3 \sqrt{a+b x}}+\frac{2 a (A b-a B)}{3 b^3 (a+b x)^{3/2}}+\frac{2 B \sqrt{a+b x}}{b^3}",1,"(2*a*(A*b - a*B))/(3*b^3*(a + b*x)^(3/2)) - (2*(A*b - 2*a*B))/(b^3*Sqrt[a + b*x]) + (2*B*Sqrt[a + b*x])/b^3","A",2,1,16,0.06250,1,"{77}"
448,1,40,0,0.0131098,"\int \frac{A+B x}{(a+b x)^{5/2}} \, dx","Int[(A + B*x)/(a + b*x)^(5/2),x]","-\frac{2 (A b-a B)}{3 b^2 (a+b x)^{3/2}}-\frac{2 B}{b^2 \sqrt{a+b x}}","-\frac{2 (A b-a B)}{3 b^2 (a+b x)^{3/2}}-\frac{2 B}{b^2 \sqrt{a+b x}}",1,"(-2*(A*b - a*B))/(3*b^2*(a + b*x)^(3/2)) - (2*B)/(b^2*Sqrt[a + b*x])","A",2,1,15,0.06667,1,"{43}"
449,1,67,0,0.0199562,"\int \frac{A+B x}{x (a+b x)^{5/2}} \, dx","Int[(A + B*x)/(x*(a + b*x)^(5/2)),x]","\frac{2 A}{a^2 \sqrt{a+b x}}-\frac{2 A \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{a^{5/2}}+\frac{2 (A b-a B)}{3 a b (a+b x)^{3/2}}","\frac{2 A}{a^2 \sqrt{a+b x}}-\frac{2 A \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{a^{5/2}}+\frac{2 (A b-a B)}{3 a b (a+b x)^{3/2}}",1,"(2*(A*b - a*B))/(3*a*b*(a + b*x)^(3/2)) + (2*A)/(a^2*Sqrt[a + b*x]) - (2*A*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/a^(5/2)","A",4,4,18,0.2222,1,"{78, 51, 63, 208}"
450,1,98,0,0.0443182,"\int \frac{A+B x}{x^2 (a+b x)^{5/2}} \, dx","Int[(A + B*x)/(x^2*(a + b*x)^(5/2)),x]","-\frac{5 A b-2 a B}{a^3 \sqrt{a+b x}}-\frac{5 A b-2 a B}{3 a^2 (a+b x)^{3/2}}+\frac{(5 A b-2 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{a^{7/2}}-\frac{A}{a x (a+b x)^{3/2}}","-\frac{5 A b-2 a B}{a^3 \sqrt{a+b x}}-\frac{5 A b-2 a B}{3 a^2 (a+b x)^{3/2}}+\frac{(5 A b-2 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{a^{7/2}}-\frac{A}{a x (a+b x)^{3/2}}",1,"-(5*A*b - 2*a*B)/(3*a^2*(a + b*x)^(3/2)) - A/(a*x*(a + b*x)^(3/2)) - (5*A*b - 2*a*B)/(a^3*Sqrt[a + b*x]) + ((5*A*b - 2*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/a^(7/2)","A",5,4,18,0.2222,1,"{78, 51, 63, 208}"
451,1,140,0,0.0585754,"\int \frac{A+B x}{x^3 (a+b x)^{5/2}} \, dx","Int[(A + B*x)/(x^3*(a + b*x)^(5/2)),x]","\frac{5 \sqrt{a+b x} (7 A b-4 a B)}{4 a^4 x}-\frac{5 (7 A b-4 a B)}{6 a^3 x \sqrt{a+b x}}-\frac{7 A b-4 a B}{6 a^2 x (a+b x)^{3/2}}-\frac{5 b (7 A b-4 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{4 a^{9/2}}-\frac{A}{2 a x^2 (a+b x)^{3/2}}","\frac{5 b (7 A b-4 a B)}{4 a^4 \sqrt{a+b x}}+\frac{5 b (7 A b-4 a B)}{12 a^3 (a+b x)^{3/2}}+\frac{7 A b-4 a B}{4 a^2 x (a+b x)^{3/2}}-\frac{5 b (7 A b-4 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{4 a^{9/2}}-\frac{A}{2 a x^2 (a+b x)^{3/2}}",1,"-A/(2*a*x^2*(a + b*x)^(3/2)) - (7*A*b - 4*a*B)/(6*a^2*x*(a + b*x)^(3/2)) - (5*(7*A*b - 4*a*B))/(6*a^3*x*Sqrt[a + b*x]) + (5*(7*A*b - 4*a*B)*Sqrt[a + b*x])/(4*a^4*x) - (5*b*(7*A*b - 4*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(4*a^(9/2))","A",6,4,18,0.2222,1,"{78, 51, 63, 208}"
452,1,171,0,0.0754013,"\int \frac{A+B x}{x^4 (a+b x)^{5/2}} \, dx","Int[(A + B*x)/(x^4*(a + b*x)^(5/2)),x]","\frac{35 b^2 (3 A b-2 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{8 a^{11/2}}+\frac{35 \sqrt{a+b x} (3 A b-2 a B)}{12 a^4 x^2}-\frac{7 (3 A b-2 a B)}{3 a^3 x^2 \sqrt{a+b x}}-\frac{3 A b-2 a B}{3 a^2 x^2 (a+b x)^{3/2}}-\frac{35 b \sqrt{a+b x} (3 A b-2 a B)}{8 a^5 x}-\frac{A}{3 a x^3 (a+b x)^{3/2}}","-\frac{35 b^2 (3 A b-2 a B)}{8 a^5 \sqrt{a+b x}}-\frac{35 b^2 (3 A b-2 a B)}{24 a^4 (a+b x)^{3/2}}+\frac{35 b^2 (3 A b-2 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{8 a^{11/2}}+\frac{3 A b-2 a B}{4 a^2 x^2 (a+b x)^{3/2}}-\frac{7 b (3 A b-2 a B)}{8 a^3 x (a+b x)^{3/2}}-\frac{A}{3 a x^3 (a+b x)^{3/2}}",1,"-A/(3*a*x^3*(a + b*x)^(3/2)) - (3*A*b - 2*a*B)/(3*a^2*x^2*(a + b*x)^(3/2)) - (7*(3*A*b - 2*a*B))/(3*a^3*x^2*Sqrt[a + b*x]) + (35*(3*A*b - 2*a*B)*Sqrt[a + b*x])/(12*a^4*x^2) - (35*b*(3*A*b - 2*a*B)*Sqrt[a + b*x])/(8*a^5*x) + (35*b^2*(3*A*b - 2*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(8*a^(11/2))","A",7,4,18,0.2222,1,"{78, 51, 63, 208}"
453,1,202,0,0.0971598,"\int \frac{A+B x}{x^5 (a+b x)^{5/2}} \, dx","Int[(A + B*x)/(x^5*(a + b*x)^(5/2)),x]","\frac{105 b^2 \sqrt{a+b x} (11 A b-8 a B)}{64 a^6 x}-\frac{105 b^3 (11 A b-8 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{64 a^{13/2}}-\frac{35 b \sqrt{a+b x} (11 A b-8 a B)}{32 a^5 x^2}+\frac{7 \sqrt{a+b x} (11 A b-8 a B)}{8 a^4 x^3}-\frac{3 (11 A b-8 a B)}{4 a^3 x^3 \sqrt{a+b x}}-\frac{11 A b-8 a B}{12 a^2 x^3 (a+b x)^{3/2}}-\frac{A}{4 a x^4 (a+b x)^{3/2}}","\frac{105 b^3 (11 A b-8 a B)}{64 a^6 \sqrt{a+b x}}+\frac{35 b^3 (11 A b-8 a B)}{64 a^5 (a+b x)^{3/2}}+\frac{21 b^2 (11 A b-8 a B)}{64 a^4 x (a+b x)^{3/2}}-\frac{105 b^3 (11 A b-8 a B) \tanh ^{-1}\left(\frac{\sqrt{a+b x}}{\sqrt{a}}\right)}{64 a^{13/2}}-\frac{3 b (11 A b-8 a B)}{32 a^3 x^2 (a+b x)^{3/2}}+\frac{11 A b-8 a B}{24 a^2 x^3 (a+b x)^{3/2}}-\frac{A}{4 a x^4 (a+b x)^{3/2}}",1,"-A/(4*a*x^4*(a + b*x)^(3/2)) - (11*A*b - 8*a*B)/(12*a^2*x^3*(a + b*x)^(3/2)) - (3*(11*A*b - 8*a*B))/(4*a^3*x^3*Sqrt[a + b*x]) + (7*(11*A*b - 8*a*B)*Sqrt[a + b*x])/(8*a^4*x^3) - (35*b*(11*A*b - 8*a*B)*Sqrt[a + b*x])/(32*a^5*x^2) + (105*b^2*(11*A*b - 8*a*B)*Sqrt[a + b*x])/(64*a^6*x) - (105*b^3*(11*A*b - 8*a*B)*ArcTanh[Sqrt[a + b*x]/Sqrt[a]])/(64*a^(13/2))","A",8,4,18,0.2222,1,"{78, 51, 63, 208}"
454,1,71,0,0.0395309,"\int \frac{(a+b x)^2}{x^2 \sqrt{c+d x}} \, dx","Int[(a + b*x)^2/(x^2*Sqrt[c + d*x]),x]","-\frac{a^2 \sqrt{c+d x}}{c x}-\frac{a (4 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{c^{3/2}}+\frac{2 b^2 \sqrt{c+d x}}{d}","-\frac{a^2 \sqrt{c+d x}}{c x}-\frac{a (4 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{c^{3/2}}+\frac{2 b^2 \sqrt{c+d x}}{d}",1,"(2*b^2*Sqrt[c + d*x])/d - (a^2*Sqrt[c + d*x])/(c*x) - (a*(4*b*c - a*d)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/c^(3/2)","A",4,4,20,0.2000,1,"{89, 80, 63, 208}"
455,1,209,0,0.1712093,"\int \frac{x^3 (c+d x)^{5/2}}{a+b x} \, dx","Int[(x^3*(c + d*x)^(5/2))/(a + b*x),x]","\frac{2 (c+d x)^{7/2} \left(a^2 d^2+a b c d+b^2 c^2\right)}{7 b^3 d^3}-\frac{2 a^3 (c+d x)^{5/2}}{5 b^4}-\frac{2 a^3 (c+d x)^{3/2} (b c-a d)}{3 b^5}-\frac{2 a^3 \sqrt{c+d x} (b c-a d)^2}{b^6}+\frac{2 a^3 (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{13/2}}-\frac{2 (c+d x)^{9/2} (a d+2 b c)}{9 b^2 d^3}+\frac{2 (c+d x)^{11/2}}{11 b d^3}","\frac{2 (c+d x)^{7/2} \left(a^2 d^2+a b c d+b^2 c^2\right)}{7 b^3 d^3}-\frac{2 a^3 (c+d x)^{5/2}}{5 b^4}-\frac{2 a^3 (c+d x)^{3/2} (b c-a d)}{3 b^5}-\frac{2 a^3 \sqrt{c+d x} (b c-a d)^2}{b^6}+\frac{2 a^3 (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{13/2}}-\frac{2 (c+d x)^{9/2} (a d+2 b c)}{9 b^2 d^3}+\frac{2 (c+d x)^{11/2}}{11 b d^3}",1,"(-2*a^3*(b*c - a*d)^2*Sqrt[c + d*x])/b^6 - (2*a^3*(b*c - a*d)*(c + d*x)^(3/2))/(3*b^5) - (2*a^3*(c + d*x)^(5/2))/(5*b^4) + (2*(b^2*c^2 + a*b*c*d + a^2*d^2)*(c + d*x)^(7/2))/(7*b^3*d^3) - (2*(2*b*c + a*d)*(c + d*x)^(9/2))/(9*b^2*d^3) + (2*(c + d*x)^(11/2))/(11*b*d^3) + (2*a^3*(b*c - a*d)^(5/2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/b^(13/2)","A",7,4,20,0.2000,1,"{88, 50, 63, 208}"
456,1,169,0,0.1134637,"\int \frac{x^2 (c+d x)^{5/2}}{a+b x} \, dx","Int[(x^2*(c + d*x)^(5/2))/(a + b*x),x]","\frac{2 a^2 (c+d x)^{5/2}}{5 b^3}+\frac{2 a^2 (c+d x)^{3/2} (b c-a d)}{3 b^4}+\frac{2 a^2 \sqrt{c+d x} (b c-a d)^2}{b^5}-\frac{2 a^2 (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{11/2}}-\frac{2 (c+d x)^{7/2} (a d+b c)}{7 b^2 d^2}+\frac{2 (c+d x)^{9/2}}{9 b d^2}","\frac{2 a^2 (c+d x)^{5/2}}{5 b^3}+\frac{2 a^2 (c+d x)^{3/2} (b c-a d)}{3 b^4}+\frac{2 a^2 \sqrt{c+d x} (b c-a d)^2}{b^5}-\frac{2 a^2 (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{11/2}}-\frac{2 (c+d x)^{7/2} (a d+b c)}{7 b^2 d^2}+\frac{2 (c+d x)^{9/2}}{9 b d^2}",1,"(2*a^2*(b*c - a*d)^2*Sqrt[c + d*x])/b^5 + (2*a^2*(b*c - a*d)*(c + d*x)^(3/2))/(3*b^4) + (2*a^2*(c + d*x)^(5/2))/(5*b^3) - (2*(b*c + a*d)*(c + d*x)^(7/2))/(7*b^2*d^2) + (2*(c + d*x)^(9/2))/(9*b*d^2) - (2*a^2*(b*c - a*d)^(5/2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/b^(11/2)","A",7,4,20,0.2000,1,"{88, 50, 63, 208}"
457,1,135,0,0.0746933,"\int \frac{x (c+d x)^{5/2}}{a+b x} \, dx","Int[(x*(c + d*x)^(5/2))/(a + b*x),x]","-\frac{2 a (c+d x)^{5/2}}{5 b^2}-\frac{2 a (c+d x)^{3/2} (b c-a d)}{3 b^3}-\frac{2 a \sqrt{c+d x} (b c-a d)^2}{b^4}+\frac{2 a (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{9/2}}+\frac{2 (c+d x)^{7/2}}{7 b d}","-\frac{2 a (c+d x)^{5/2}}{5 b^2}-\frac{2 a (c+d x)^{3/2} (b c-a d)}{3 b^3}-\frac{2 a \sqrt{c+d x} (b c-a d)^2}{b^4}+\frac{2 a (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{9/2}}+\frac{2 (c+d x)^{7/2}}{7 b d}",1,"(-2*a*(b*c - a*d)^2*Sqrt[c + d*x])/b^4 - (2*a*(b*c - a*d)*(c + d*x)^(3/2))/(3*b^3) - (2*a*(c + d*x)^(5/2))/(5*b^2) + (2*(c + d*x)^(7/2))/(7*b*d) + (2*a*(b*c - a*d)^(5/2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/b^(9/2)","A",6,4,18,0.2222,1,"{80, 50, 63, 208}"
458,1,112,0,0.0537947,"\int \frac{(c+d x)^{5/2}}{a+b x} \, dx","Int[(c + d*x)^(5/2)/(a + b*x),x]","\frac{2 \sqrt{c+d x} (b c-a d)^2}{b^3}+\frac{2 (c+d x)^{3/2} (b c-a d)}{3 b^2}-\frac{2 (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{7/2}}+\frac{2 (c+d x)^{5/2}}{5 b}","\frac{2 \sqrt{c+d x} (b c-a d)^2}{b^3}+\frac{2 (c+d x)^{3/2} (b c-a d)}{3 b^2}-\frac{2 (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{7/2}}+\frac{2 (c+d x)^{5/2}}{5 b}",1,"(2*(b*c - a*d)^2*Sqrt[c + d*x])/b^3 + (2*(b*c - a*d)*(c + d*x)^(3/2))/(3*b^2) + (2*(c + d*x)^(5/2))/(5*b) - (2*(b*c - a*d)^(5/2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/b^(7/2)","A",5,3,17,0.1765,1,"{50, 63, 208}"
459,1,118,0,0.1270052,"\int \frac{(c+d x)^{5/2}}{x (a+b x)} \, dx","Int[(c + d*x)^(5/2)/(x*(a + b*x)),x]","\frac{2 d \sqrt{c+d x} (2 b c-a d)}{b^2}+\frac{2 (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a b^{5/2}}-\frac{2 c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a}+\frac{2 d (c+d x)^{3/2}}{3 b}","\frac{2 d \sqrt{c+d x} (2 b c-a d)}{b^2}+\frac{2 (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a b^{5/2}}-\frac{2 c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a}+\frac{2 d (c+d x)^{3/2}}{3 b}",1,"(2*d*(2*b*c - a*d)*Sqrt[c + d*x])/b^2 + (2*d*(c + d*x)^(3/2))/(3*b) - (2*c^(5/2)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/a + (2*(b*c - a*d)^(5/2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/(a*b^(5/2))","A",7,5,20,0.2500,1,"{84, 154, 156, 63, 208}"
460,1,128,0,0.168315,"\int \frac{(c+d x)^{5/2}}{x^2 (a+b x)} \, dx","Int[(c + d*x)^(5/2)/(x^2*(a + b*x)),x]","-\frac{2 (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^2 b^{3/2}}+\frac{c^{3/2} (2 b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^2}+\frac{d \sqrt{c+d x} (2 a d+b c)}{a b}-\frac{c (c+d x)^{3/2}}{a x}","-\frac{2 (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^2 b^{3/2}}+\frac{c^{3/2} (2 b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^2}+\frac{d \sqrt{c+d x} (2 a d+b c)}{a b}-\frac{c (c+d x)^{3/2}}{a x}",1,"(d*(b*c + 2*a*d)*Sqrt[c + d*x])/(a*b) - (c*(c + d*x)^(3/2))/(a*x) + (c^(3/2)*(2*b*c - 5*a*d)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/a^2 - (2*(b*c - a*d)^(5/2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/(a^2*b^(3/2))","A",7,5,20,0.2500,1,"{98, 154, 156, 63, 208}"
461,1,151,0,0.1473504,"\int \frac{(c+d x)^{5/2}}{x^3 (a+b x)} \, dx","Int[(c + d*x)^(5/2)/(x^3*(a + b*x)),x]","-\frac{\sqrt{c} \left(15 a^2 d^2-20 a b c d+8 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{4 a^3}+\frac{c \sqrt{c+d x} (4 b c-7 a d)}{4 a^2 x}+\frac{2 (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^3 \sqrt{b}}-\frac{c (c+d x)^{3/2}}{2 a x^2}","-\frac{\sqrt{c} \left(15 a^2 d^2-20 a b c d+8 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{4 a^3}+\frac{c \sqrt{c+d x} (4 b c-7 a d)}{4 a^2 x}+\frac{2 (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^3 \sqrt{b}}-\frac{c (c+d x)^{3/2}}{2 a x^2}",1,"(c*(4*b*c - 7*a*d)*Sqrt[c + d*x])/(4*a^2*x) - (c*(c + d*x)^(3/2))/(2*a*x^2) - (Sqrt[c]*(8*b^2*c^2 - 20*a*b*c*d + 15*a^2*d^2)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/(4*a^3) + (2*(b*c - a*d)^(5/2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/(a^3*Sqrt[b])","A",7,5,20,0.2500,1,"{98, 149, 156, 63, 208}"
462,1,207,0,0.2685699,"\int \frac{(c+d x)^{5/2}}{x^4 (a+b x)} \, dx","Int[(c + d*x)^(5/2)/(x^4*(a + b*x)),x]","-\frac{\sqrt{c+d x} \left(11 a^2 d^2-18 a b c d+8 b^2 c^2\right)}{8 a^3 x}+\frac{\left(30 a^2 b c d^2-5 a^3 d^3-40 a b^2 c^2 d+16 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{8 a^4 \sqrt{c}}+\frac{c \sqrt{c+d x} (2 b c-3 a d)}{4 a^2 x^2}-\frac{2 \sqrt{b} (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^4}-\frac{c (c+d x)^{3/2}}{3 a x^3}","-\frac{\sqrt{c+d x} \left(11 a^2 d^2-18 a b c d+8 b^2 c^2\right)}{8 a^3 x}+\frac{\left(30 a^2 b c d^2-5 a^3 d^3-40 a b^2 c^2 d+16 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{8 a^4 \sqrt{c}}+\frac{c \sqrt{c+d x} (2 b c-3 a d)}{4 a^2 x^2}-\frac{2 \sqrt{b} (b c-a d)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^4}-\frac{c (c+d x)^{3/2}}{3 a x^3}",1,"(c*(2*b*c - 3*a*d)*Sqrt[c + d*x])/(4*a^2*x^2) - ((8*b^2*c^2 - 18*a*b*c*d + 11*a^2*d^2)*Sqrt[c + d*x])/(8*a^3*x) - (c*(c + d*x)^(3/2))/(3*a*x^3) + ((16*b^3*c^3 - 40*a*b^2*c^2*d + 30*a^2*b*c*d^2 - 5*a^3*d^3)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/(8*a^4*Sqrt[c]) - (2*Sqrt[b]*(b*c - a*d)^(5/2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/a^4","A",8,6,20,0.3000,1,"{98, 149, 151, 156, 63, 208}"
463,1,199,0,0.100251,"\int \frac{1}{\sqrt[3]{x} \sqrt{c+d x} (4 c+d x)} \, dx","Int[1/(x^(1/3)*Sqrt[c + d*x]*(4*c + d*x)),x]","-\frac{\tan ^{-1}\left(\frac{\sqrt{3} \sqrt[6]{c} \left(\sqrt[3]{c}+\sqrt[3]{2} \sqrt[3]{d} \sqrt[3]{x}\right)}{\sqrt{c+d x}}\right)}{2^{2/3} \sqrt{3} c^{5/6} d^{2/3}}+\frac{\tan ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{3} \sqrt{c}}\right)}{2^{2/3} \sqrt{3} c^{5/6} d^{2/3}}-\frac{\tanh ^{-1}\left(\frac{\sqrt[6]{c} \left(\sqrt[3]{c}-\sqrt[3]{2} \sqrt[3]{d} \sqrt[3]{x}\right)}{\sqrt{c+d x}}\right)}{2^{2/3} c^{5/6} d^{2/3}}+\frac{\tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{3\ 2^{2/3} c^{5/6} d^{2/3}}","-\frac{\tan ^{-1}\left(\frac{\sqrt{3} \sqrt[6]{c} \left(\sqrt[3]{c}+\sqrt[3]{2} \sqrt[3]{d} \sqrt[3]{x}\right)}{\sqrt{c+d x}}\right)}{2^{2/3} \sqrt{3} c^{5/6} d^{2/3}}+\frac{\tan ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{3} \sqrt{c}}\right)}{2^{2/3} \sqrt{3} c^{5/6} d^{2/3}}-\frac{\tanh ^{-1}\left(\frac{\sqrt[6]{c} \left(\sqrt[3]{c}-\sqrt[3]{2} \sqrt[3]{d} \sqrt[3]{x}\right)}{\sqrt{c+d x}}\right)}{2^{2/3} c^{5/6} d^{2/3}}+\frac{\tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{3\ 2^{2/3} c^{5/6} d^{2/3}}",1,"-(ArcTan[(Sqrt[3]*c^(1/6)*(c^(1/3) + 2^(1/3)*d^(1/3)*x^(1/3)))/Sqrt[c + d*x]]/(2^(2/3)*Sqrt[3]*c^(5/6)*d^(2/3))) + ArcTan[Sqrt[c + d*x]/(Sqrt[3]*Sqrt[c])]/(2^(2/3)*Sqrt[3]*c^(5/6)*d^(2/3)) - ArcTanh[(c^(1/6)*(c^(1/3) - 2^(1/3)*d^(1/3)*x^(1/3)))/Sqrt[c + d*x]]/(2^(2/3)*c^(5/6)*d^(2/3)) + ArcTanh[Sqrt[c + d*x]/Sqrt[c]]/(3*2^(2/3)*c^(5/6)*d^(2/3))","A",2,2,24,0.08333,1,"{130, 484}"
464,1,143,0,0.4626513,"\int \frac{1}{\sqrt[3]{x} (8 c-d x) \sqrt{c+d x}} \, dx","Int[1/(x^(1/3)*(8*c - d*x)*Sqrt[c + d*x]),x]","-\frac{\tan ^{-1}\left(\frac{\sqrt{3} \sqrt[6]{c} \left(\sqrt[3]{c}+\sqrt[3]{d} \sqrt[3]{x}\right)}{\sqrt{c+d x}}\right)}{2 \sqrt{3} c^{5/6} d^{2/3}}+\frac{\tanh ^{-1}\left(\frac{\left(\sqrt[3]{c}+\sqrt[3]{d} \sqrt[3]{x}\right)^2}{3 \sqrt[6]{c} \sqrt{c+d x}}\right)}{6 c^{5/6} d^{2/3}}-\frac{\tanh ^{-1}\left(\frac{\sqrt{c+d x}}{3 \sqrt{c}}\right)}{6 c^{5/6} d^{2/3}}","-\frac{\tan ^{-1}\left(\frac{\sqrt{3} \sqrt[6]{c} \left(\sqrt[3]{c}+\sqrt[3]{d} \sqrt[3]{x}\right)}{\sqrt{c+d x}}\right)}{2 \sqrt{3} c^{5/6} d^{2/3}}+\frac{\tanh ^{-1}\left(\frac{\left(\sqrt[3]{c}+\sqrt[3]{d} \sqrt[3]{x}\right)^2}{3 \sqrt[6]{c} \sqrt{c+d x}}\right)}{6 c^{5/6} d^{2/3}}-\frac{\tanh ^{-1}\left(\frac{\sqrt{c+d x}}{3 \sqrt{c}}\right)}{6 c^{5/6} d^{2/3}}",1,"-ArcTan[(Sqrt[3]*c^(1/6)*(c^(1/3) + d^(1/3)*x^(1/3)))/Sqrt[c + d*x]]/(2*Sqrt[3]*c^(5/6)*d^(2/3)) + ArcTanh[(c^(1/3) + d^(1/3)*x^(1/3))^2/(3*c^(1/6)*Sqrt[c + d*x])]/(6*c^(5/6)*d^(2/3)) - ArcTanh[Sqrt[c + d*x]/(3*Sqrt[c])]/(6*c^(5/6)*d^(2/3))","A",9,8,25,0.3200,1,"{130, 486, 444, 63, 206, 2138, 2145, 205}"
465,1,140,0,0.1586449,"\int \frac{\sqrt{c+d x}}{x^2 (a+b x)^2} \, dx","Int[Sqrt[c + d*x]/(x^2*(a + b*x)^2),x]","-\frac{2 b \sqrt{c+d x}}{a^2 (a+b x)}-\frac{\sqrt{b} (4 b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^3 \sqrt{b c-a d}}+\frac{(4 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^3 \sqrt{c}}-\frac{\sqrt{c+d x}}{a x (a+b x)}","-\frac{2 b \sqrt{c+d x}}{a^2 (a+b x)}-\frac{\sqrt{b} (4 b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^3 \sqrt{b c-a d}}+\frac{(4 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^3 \sqrt{c}}-\frac{\sqrt{c+d x}}{a x (a+b x)}",1,"(-2*b*Sqrt[c + d*x])/(a^2*(a + b*x)) - Sqrt[c + d*x]/(a*x*(a + b*x)) + ((4*b*c - a*d)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/(a^3*Sqrt[c]) - (Sqrt[b]*(4*b*c - 3*a*d)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/(a^3*Sqrt[b*c - a*d])","A",7,5,20,0.2500,1,"{99, 151, 156, 63, 208}"
466,1,115,0,0.0915105,"\int \frac{(c+d x)^{3/2}}{x (a+b x)^2} \, dx","Int[(c + d*x)^(3/2)/(x*(a + b*x)^2),x]","\frac{\sqrt{b c-a d} (a d+2 b c) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^2 b^{3/2}}-\frac{2 c^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^2}+\frac{\sqrt{c+d x} (b c-a d)}{a b (a+b x)}","\frac{\sqrt{b c-a d} (a d+2 b c) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^2 b^{3/2}}-\frac{2 c^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^2}+\frac{\sqrt{c+d x} (b c-a d)}{a b (a+b x)}",1,"((b*c - a*d)*Sqrt[c + d*x])/(a*b*(a + b*x)) - (2*c^(3/2)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/a^2 + (Sqrt[b*c - a*d]*(2*b*c + a*d)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/(a^2*b^(3/2))","A",6,4,20,0.2000,1,"{98, 156, 63, 208}"
467,1,149,0,0.1959066,"\int \frac{(c+d x)^{3/2}}{x^2 (a+b x)^2} \, dx","Int[(c + d*x)^(3/2)/(x^2*(a + b*x)^2),x]","-\frac{\sqrt{c+d x} (2 b c-a d)}{a^2 (a+b x)}+\frac{\sqrt{c} (4 b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^3}-\frac{\sqrt{b c-a d} (4 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^3 \sqrt{b}}-\frac{c \sqrt{c+d x}}{a x (a+b x)}","-\frac{\sqrt{c+d x} (2 b c-a d)}{a^2 (a+b x)}+\frac{\sqrt{c} (4 b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^3}-\frac{\sqrt{b c-a d} (4 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^3 \sqrt{b}}-\frac{c \sqrt{c+d x}}{a x (a+b x)}",1,"-(((2*b*c - a*d)*Sqrt[c + d*x])/(a^2*(a + b*x))) - (c*Sqrt[c + d*x])/(a*x*(a + b*x)) + (Sqrt[c]*(4*b*c - 3*a*d)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/a^3 - (Sqrt[b*c - a*d]*(4*b*c - a*d)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/(a^3*Sqrt[b])","A",7,5,20,0.2500,1,"{98, 151, 156, 63, 208}"
468,1,220,0,0.2214881,"\int \frac{x^3 (c+d x)^{5/2}}{(a+b x)^2} \, dx","Int[(x^3*(c + d*x)^(5/2))/(a + b*x)^2,x]","-\frac{(c+d x)^{5/2} \left(-693 a^2 d^2-5 b d x (10 b c-99 a d)+180 a b c d+20 b^2 c^2\right)}{315 b^4 d^2}+\frac{a^2 (c+d x)^{3/2} (6 b c-11 a d)}{3 b^5}+\frac{a^2 \sqrt{c+d x} (6 b c-11 a d) (b c-a d)}{b^6}-\frac{a^2 (6 b c-11 a d) (b c-a d)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{13/2}}-\frac{x^3 (c+d x)^{5/2}}{b (a+b x)}+\frac{11 x^2 (c+d x)^{5/2}}{9 b^2}","-\frac{(c+d x)^{5/2} \left(-693 a^2 d^2-5 b d x (10 b c-99 a d)+180 a b c d+20 b^2 c^2\right)}{315 b^4 d^2}+\frac{a^2 (c+d x)^{3/2} (6 b c-11 a d)}{3 b^5}+\frac{a^2 \sqrt{c+d x} (6 b c-11 a d) (b c-a d)}{b^6}-\frac{a^2 (6 b c-11 a d) (b c-a d)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{13/2}}-\frac{x^3 (c+d x)^{5/2}}{b (a+b x)}+\frac{11 x^2 (c+d x)^{5/2}}{9 b^2}",1,"(a^2*(6*b*c - 11*a*d)*(b*c - a*d)*Sqrt[c + d*x])/b^6 + (a^2*(6*b*c - 11*a*d)*(c + d*x)^(3/2))/(3*b^5) + (11*x^2*(c + d*x)^(5/2))/(9*b^2) - (x^3*(c + d*x)^(5/2))/(b*(a + b*x)) - ((c + d*x)^(5/2)*(20*b^2*c^2 + 180*a*b*c*d - 693*a^2*d^2 - 5*b*d*(10*b*c - 99*a*d)*x))/(315*b^4*d^2) - (a^2*(6*b*c - 11*a*d)*(b*c - a*d)^(3/2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/b^(13/2)","A",7,6,20,0.3000,1,"{97, 153, 147, 50, 63, 208}"
469,1,204,0,0.2241788,"\int \frac{x^2 (c+d x)^{5/2}}{(a+b x)^2} \, dx","Int[(x^2*(c + d*x)^(5/2))/(a + b*x)^2,x]","-\frac{a^2 (c+d x)^{7/2}}{b^2 (a+b x) (b c-a d)}-\frac{a (c+d x)^{5/2} (4 b c-9 a d)}{5 b^3 (b c-a d)}-\frac{a (c+d x)^{3/2} (4 b c-9 a d)}{3 b^4}-\frac{a \sqrt{c+d x} (4 b c-9 a d) (b c-a d)}{b^5}+\frac{a (4 b c-9 a d) (b c-a d)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{11/2}}+\frac{2 (c+d x)^{7/2}}{7 b^2 d}","-\frac{a^2 (c+d x)^{7/2}}{b^2 (a+b x) (b c-a d)}-\frac{a (c+d x)^{5/2} (4 b c-9 a d)}{5 b^3 (b c-a d)}-\frac{a (c+d x)^{3/2} (4 b c-9 a d)}{3 b^4}-\frac{a \sqrt{c+d x} (4 b c-9 a d) (b c-a d)}{b^5}+\frac{a (4 b c-9 a d) (b c-a d)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{11/2}}+\frac{2 (c+d x)^{7/2}}{7 b^2 d}",1,"-((a*(4*b*c - 9*a*d)*(b*c - a*d)*Sqrt[c + d*x])/b^5) - (a*(4*b*c - 9*a*d)*(c + d*x)^(3/2))/(3*b^4) - (a*(4*b*c - 9*a*d)*(c + d*x)^(5/2))/(5*b^3*(b*c - a*d)) + (2*(c + d*x)^(7/2))/(7*b^2*d) - (a^2*(c + d*x)^(7/2))/(b^2*(b*c - a*d)*(a + b*x)) + (a*(4*b*c - 9*a*d)*(b*c - a*d)^(3/2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/b^(11/2)","A",7,5,20,0.2500,1,"{89, 80, 50, 63, 208}"
470,1,178,0,0.1017263,"\int \frac{x (c+d x)^{5/2}}{(a+b x)^2} \, dx","Int[(x*(c + d*x)^(5/2))/(a + b*x)^2,x]","\frac{(c+d x)^{5/2} (2 b c-7 a d)}{5 b^2 (b c-a d)}+\frac{(c+d x)^{3/2} (2 b c-7 a d)}{3 b^3}+\frac{\sqrt{c+d x} (2 b c-7 a d) (b c-a d)}{b^4}-\frac{(2 b c-7 a d) (b c-a d)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{9/2}}+\frac{a (c+d x)^{7/2}}{b (a+b x) (b c-a d)}","\frac{(c+d x)^{5/2} (2 b c-7 a d)}{5 b^2 (b c-a d)}+\frac{(c+d x)^{3/2} (2 b c-7 a d)}{3 b^3}+\frac{\sqrt{c+d x} (2 b c-7 a d) (b c-a d)}{b^4}-\frac{(2 b c-7 a d) (b c-a d)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{9/2}}+\frac{a (c+d x)^{7/2}}{b (a+b x) (b c-a d)}",1,"((2*b*c - 7*a*d)*(b*c - a*d)*Sqrt[c + d*x])/b^4 + ((2*b*c - 7*a*d)*(c + d*x)^(3/2))/(3*b^3) + ((2*b*c - 7*a*d)*(c + d*x)^(5/2))/(5*b^2*(b*c - a*d)) + (a*(c + d*x)^(7/2))/(b*(b*c - a*d)*(a + b*x)) - ((2*b*c - 7*a*d)*(b*c - a*d)^(3/2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/b^(9/2)","A",6,4,18,0.2222,1,"{78, 50, 63, 208}"
471,1,110,0,0.0569942,"\int \frac{(c+d x)^{5/2}}{(a+b x)^2} \, dx","Int[(c + d*x)^(5/2)/(a + b*x)^2,x]","\frac{5 d \sqrt{c+d x} (b c-a d)}{b^3}-\frac{5 d (b c-a d)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{7/2}}-\frac{(c+d x)^{5/2}}{b (a+b x)}+\frac{5 d (c+d x)^{3/2}}{3 b^2}","\frac{5 d \sqrt{c+d x} (b c-a d)}{b^3}-\frac{5 d (b c-a d)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{7/2}}-\frac{(c+d x)^{5/2}}{b (a+b x)}+\frac{5 d (c+d x)^{3/2}}{3 b^2}",1,"(5*d*(b*c - a*d)*Sqrt[c + d*x])/b^3 + (5*d*(c + d*x)^(3/2))/(3*b^2) - (c + d*x)^(5/2)/(b*(a + b*x)) - (5*d*(b*c - a*d)^(3/2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/b^(7/2)","A",5,4,17,0.2353,1,"{47, 50, 63, 208}"
472,1,142,0,0.1560578,"\int \frac{(c+d x)^{5/2}}{x (a+b x)^2} \, dx","Int[(c + d*x)^(5/2)/(x*(a + b*x)^2),x]","\frac{(b c-a d)^{3/2} (3 a d+2 b c) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^2 b^{5/2}}-\frac{2 c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^2}-\frac{d \sqrt{c+d x} (b c-3 a d)}{a b^2}+\frac{(c+d x)^{3/2} (b c-a d)}{a b (a+b x)}","\frac{(b c-a d)^{3/2} (3 a d+2 b c) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^2 b^{5/2}}-\frac{2 c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^2}-\frac{d \sqrt{c+d x} (b c-3 a d)}{a b^2}+\frac{(c+d x)^{3/2} (b c-a d)}{a b (a+b x)}",1,"-((d*(b*c - 3*a*d)*Sqrt[c + d*x])/(a*b^2)) + ((b*c - a*d)*(c + d*x)^(3/2))/(a*b*(a + b*x)) - (2*c^(5/2)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/a^2 + ((b*c - a*d)^(3/2)*(2*b*c + 3*a*d)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/(a^2*b^(5/2))","A",7,5,20,0.2500,1,"{98, 154, 156, 63, 208}"
473,1,159,0,0.1971147,"\int \frac{(c+d x)^{5/2}}{x^2 (a+b x)^2} \, dx","Int[(c + d*x)^(5/2)/(x^2*(a + b*x)^2),x]","-\frac{(b c-a d)^{3/2} (a d+4 b c) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^3 b^{3/2}}+\frac{c^{3/2} (4 b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^3}-\frac{\sqrt{c+d x} (b c-a d) (2 b c-a d)}{a^2 b (a+b x)}-\frac{c (c+d x)^{3/2}}{a x (a+b x)}","-\frac{(b c-a d)^{3/2} (a d+4 b c) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^3 b^{3/2}}+\frac{c^{3/2} (4 b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^3}-\frac{\sqrt{c+d x} (b c-a d)^2}{a^2 b (a+b x)}-\frac{c^2 \sqrt{c+d x}}{a^2 x}",1,"-(((b*c - a*d)*(2*b*c - a*d)*Sqrt[c + d*x])/(a^2*b*(a + b*x))) - (c*(c + d*x)^(3/2))/(a*x*(a + b*x)) + (c^(3/2)*(4*b*c - 5*a*d)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/a^3 - ((b*c - a*d)^(3/2)*(4*b*c + a*d)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/(a^3*b^(3/2))","A",7,5,20,0.2500,1,"{98, 149, 156, 63, 208}"
474,1,219,0,0.2393161,"\int \frac{(c+d x)^{5/2}}{x^3 (a+b x)^2} \, dx","Int[(c + d*x)^(5/2)/(x^3*(a + b*x)^2),x]","\frac{\sqrt{c+d x} \left(4 a^2 d^2-17 a b c d+12 b^2 c^2\right)}{4 a^3 (a+b x)}-\frac{\sqrt{c} \left(15 a^2 d^2-40 a b c d+24 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{4 a^4}+\frac{c \sqrt{c+d x} (6 b c-7 a d)}{4 a^2 x (a+b x)}+\frac{(6 b c-a d) (b c-a d)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^4 \sqrt{b}}-\frac{c (c+d x)^{3/2}}{2 a x^2 (a+b x)}","\frac{\sqrt{c+d x} \left(4 a^2 d^2-17 a b c d+12 b^2 c^2\right)}{4 a^3 (a+b x)}-\frac{\sqrt{c} \left(15 a^2 d^2-40 a b c d+24 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{4 a^4}+\frac{c \sqrt{c+d x} (6 b c-7 a d)}{4 a^2 x (a+b x)}+\frac{(6 b c-a d) (b c-a d)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^4 \sqrt{b}}-\frac{c (c+d x)^{3/2}}{2 a x^2 (a+b x)}",1,"((12*b^2*c^2 - 17*a*b*c*d + 4*a^2*d^2)*Sqrt[c + d*x])/(4*a^3*(a + b*x)) + (c*(6*b*c - 7*a*d)*Sqrt[c + d*x])/(4*a^2*x*(a + b*x)) - (c*(c + d*x)^(3/2))/(2*a*x^2*(a + b*x)) - (Sqrt[c]*(24*b^2*c^2 - 40*a*b*c*d + 15*a^2*d^2)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/(4*a^4) + ((b*c - a*d)^(3/2)*(6*b*c - a*d)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/(a^4*Sqrt[b])","A",8,6,20,0.3000,1,"{98, 149, 151, 156, 63, 208}"
475,1,284,0,0.3969162,"\int \frac{(c+d x)^{5/2}}{x^4 (a+b x)^2} \, dx","Int[(c + d*x)^(5/2)/(x^4*(a + b*x)^2),x]","-\frac{b \sqrt{c+d x} \left(19 a^2 d^2-52 a b c d+32 b^2 c^2\right)}{8 a^4 (a+b x)}-\frac{\sqrt{c+d x} \left(33 a^2 d^2-82 a b c d+48 b^2 c^2\right)}{24 a^3 x (a+b x)}+\frac{\left(60 a^2 b c d^2-5 a^3 d^3-120 a b^2 c^2 d+64 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{8 a^5 \sqrt{c}}+\frac{c \sqrt{c+d x} (8 b c-9 a d)}{12 a^2 x^2 (a+b x)}-\frac{\sqrt{b} (8 b c-3 a d) (b c-a d)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^5}-\frac{c (c+d x)^{3/2}}{3 a x^3 (a+b x)}","-\frac{b \sqrt{c+d x} \left(19 a^2 d^2-52 a b c d+32 b^2 c^2\right)}{8 a^4 (a+b x)}-\frac{\sqrt{c+d x} \left(33 a^2 d^2-82 a b c d+48 b^2 c^2\right)}{24 a^3 x (a+b x)}+\frac{\left(60 a^2 b c d^2-5 a^3 d^3-120 a b^2 c^2 d+64 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{8 a^5 \sqrt{c}}+\frac{c \sqrt{c+d x} (8 b c-9 a d)}{12 a^2 x^2 (a+b x)}-\frac{\sqrt{b} (8 b c-3 a d) (b c-a d)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^5}-\frac{c (c+d x)^{3/2}}{3 a x^3 (a+b x)}",1,"-(b*(32*b^2*c^2 - 52*a*b*c*d + 19*a^2*d^2)*Sqrt[c + d*x])/(8*a^4*(a + b*x)) + (c*(8*b*c - 9*a*d)*Sqrt[c + d*x])/(12*a^2*x^2*(a + b*x)) - ((48*b^2*c^2 - 82*a*b*c*d + 33*a^2*d^2)*Sqrt[c + d*x])/(24*a^3*x*(a + b*x)) - (c*(c + d*x)^(3/2))/(3*a*x^3*(a + b*x)) + ((64*b^3*c^3 - 120*a*b^2*c^2*d + 60*a^2*b*c*d^2 - 5*a^3*d^3)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/(8*a^5*Sqrt[c]) - (Sqrt[b]*(8*b*c - 3*a*d)*(b*c - a*d)^(3/2)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/a^5","A",9,6,20,0.3000,1,"{98, 149, 151, 156, 63, 208}"
476,1,164,0,0.2016571,"\int \frac{1}{x^2 (a+b x)^2 \sqrt{c+d x}} \, dx","Int[1/(x^2*(a + b*x)^2*Sqrt[c + d*x]),x]","-\frac{b^{3/2} (4 b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^3 (b c-a d)^{3/2}}+\frac{(a d+4 b c) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^3 c^{3/2}}-\frac{b \sqrt{c+d x} (2 b c-a d)}{a^2 c (a+b x) (b c-a d)}-\frac{\sqrt{c+d x}}{a c x (a+b x)}","-\frac{b^{3/2} (4 b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^3 (b c-a d)^{3/2}}+\frac{(a d+4 b c) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^3 c^{3/2}}-\frac{b \sqrt{c+d x} (2 b c-a d)}{a^2 c (a+b x) (b c-a d)}-\frac{\sqrt{c+d x}}{a c x (a+b x)}",1,"-((b*(2*b*c - a*d)*Sqrt[c + d*x])/(a^2*c*(b*c - a*d)*(a + b*x))) - Sqrt[c + d*x]/(a*c*x*(a + b*x)) + ((4*b*c + a*d)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/(a^3*c^(3/2)) - (b^(3/2)*(4*b*c - 5*a*d)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/(a^3*(b*c - a*d)^(3/2))","A",7,5,20,0.2500,1,"{103, 151, 156, 63, 208}"
477,1,216,0,0.2920016,"\int \frac{1}{x^2 (a+b x)^2 (c+d x)^{3/2}} \, dx","Int[1/(x^2*(a + b*x)^2*(c + d*x)^(3/2)),x]","-\frac{d \left(3 a^2 d^2-2 a b c d+2 b^2 c^2\right)}{a^2 c^2 \sqrt{c+d x} (b c-a d)^2}-\frac{b^{5/2} (4 b c-7 a d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^3 (b c-a d)^{5/2}}+\frac{(3 a d+4 b c) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^3 c^{5/2}}-\frac{b (2 b c-a d)}{a^2 c (a+b x) \sqrt{c+d x} (b c-a d)}-\frac{1}{a c x (a+b x) \sqrt{c+d x}}","-\frac{d \left(3 a^2 d^2-2 a b c d+2 b^2 c^2\right)}{a^2 c^2 \sqrt{c+d x} (b c-a d)^2}-\frac{b^{5/2} (4 b c-7 a d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^3 (b c-a d)^{5/2}}+\frac{(3 a d+4 b c) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^3 c^{5/2}}-\frac{b (2 b c-a d)}{a^2 c (a+b x) \sqrt{c+d x} (b c-a d)}-\frac{1}{a c x (a+b x) \sqrt{c+d x}}",1,"-((d*(2*b^2*c^2 - 2*a*b*c*d + 3*a^2*d^2))/(a^2*c^2*(b*c - a*d)^2*Sqrt[c + d*x])) - (b*(2*b*c - a*d))/(a^2*c*(b*c - a*d)*(a + b*x)*Sqrt[c + d*x]) - 1/(a*c*x*(a + b*x)*Sqrt[c + d*x]) + ((4*b*c + 3*a*d)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/(a^3*c^(5/2)) - (b^(5/2)*(4*b*c - 7*a*d)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/(a^3*(b*c - a*d)^(5/2))","A",8,6,20,0.3000,1,"{103, 151, 152, 156, 63, 208}"
478,1,277,0,0.426716,"\int \frac{1}{x^2 (a+b x)^2 (c+d x)^{5/2}} \, dx","Int[1/(x^2*(a + b*x)^2*(c + d*x)^(5/2)),x]","-\frac{d (2 b c-a d) \left(5 a^2 d^2-a b c d+b^2 c^2\right)}{a^2 c^3 \sqrt{c+d x} (b c-a d)^3}-\frac{d \left(5 a^2 d^2-6 a b c d+6 b^2 c^2\right)}{3 a^2 c^2 (c+d x)^{3/2} (b c-a d)^2}-\frac{b^{7/2} (4 b c-9 a d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^3 (b c-a d)^{7/2}}+\frac{(5 a d+4 b c) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^3 c^{7/2}}-\frac{b (2 b c-a d)}{a^2 c (a+b x) (c+d x)^{3/2} (b c-a d)}-\frac{1}{a c x (a+b x) (c+d x)^{3/2}}","-\frac{d (2 b c-a d) \left(5 a^2 d^2-a b c d+b^2 c^2\right)}{a^2 c^3 \sqrt{c+d x} (b c-a d)^3}-\frac{d \left(5 a^2 d^2-6 a b c d+6 b^2 c^2\right)}{3 a^2 c^2 (c+d x)^{3/2} (b c-a d)^2}-\frac{b^{7/2} (4 b c-9 a d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{a^3 (b c-a d)^{7/2}}+\frac{(5 a d+4 b c) \tanh ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{c}}\right)}{a^3 c^{7/2}}-\frac{b (2 b c-a d)}{a^2 c (a+b x) (c+d x)^{3/2} (b c-a d)}-\frac{1}{a c x (a+b x) (c+d x)^{3/2}}",1,"-(d*(6*b^2*c^2 - 6*a*b*c*d + 5*a^2*d^2))/(3*a^2*c^2*(b*c - a*d)^2*(c + d*x)^(3/2)) - (b*(2*b*c - a*d))/(a^2*c*(b*c - a*d)*(a + b*x)*(c + d*x)^(3/2)) - 1/(a*c*x*(a + b*x)*(c + d*x)^(3/2)) - (d*(2*b*c - a*d)*(b^2*c^2 - a*b*c*d + 5*a^2*d^2))/(a^2*c^3*(b*c - a*d)^3*Sqrt[c + d*x]) + ((4*b*c + 5*a*d)*ArcTanh[Sqrt[c + d*x]/Sqrt[c]])/(a^3*c^(7/2)) - (b^(7/2)*(4*b*c - 9*a*d)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/(a^3*(b*c - a*d)^(7/2))","A",9,6,20,0.3000,1,"{103, 151, 152, 156, 63, 208}"
479,1,192,0,0.0906541,"\int x^{5/2} \sqrt{a+b x} (A+B x) \, dx","Int[x^(5/2)*Sqrt[a + b*x]*(A + B*x),x]","-\frac{a^2 x^{3/2} \sqrt{a+b x} (10 A b-7 a B)}{192 b^3}+\frac{a^3 \sqrt{x} \sqrt{a+b x} (10 A b-7 a B)}{128 b^4}-\frac{a^4 (10 A b-7 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{128 b^{9/2}}+\frac{a x^{5/2} \sqrt{a+b x} (10 A b-7 a B)}{240 b^2}+\frac{x^{7/2} \sqrt{a+b x} (10 A b-7 a B)}{40 b}+\frac{B x^{7/2} (a+b x)^{3/2}}{5 b}","-\frac{a^2 x^{3/2} \sqrt{a+b x} (10 A b-7 a B)}{192 b^3}+\frac{a^3 \sqrt{x} \sqrt{a+b x} (10 A b-7 a B)}{128 b^4}-\frac{a^4 (10 A b-7 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{128 b^{9/2}}+\frac{a x^{5/2} \sqrt{a+b x} (10 A b-7 a B)}{240 b^2}+\frac{x^{7/2} \sqrt{a+b x} (10 A b-7 a B)}{40 b}+\frac{B x^{7/2} (a+b x)^{3/2}}{5 b}",1,"(a^3*(10*A*b - 7*a*B)*Sqrt[x]*Sqrt[a + b*x])/(128*b^4) - (a^2*(10*A*b - 7*a*B)*x^(3/2)*Sqrt[a + b*x])/(192*b^3) + (a*(10*A*b - 7*a*B)*x^(5/2)*Sqrt[a + b*x])/(240*b^2) + ((10*A*b - 7*a*B)*x^(7/2)*Sqrt[a + b*x])/(40*b) + (B*x^(7/2)*(a + b*x)^(3/2))/(5*b) - (a^4*(10*A*b - 7*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(128*b^(9/2))","A",8,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
480,1,159,0,0.0724063,"\int x^{3/2} \sqrt{a+b x} (A+B x) \, dx","Int[x^(3/2)*Sqrt[a + b*x]*(A + B*x),x]","-\frac{a^2 \sqrt{x} \sqrt{a+b x} (8 A b-5 a B)}{64 b^3}+\frac{a^3 (8 A b-5 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{64 b^{7/2}}+\frac{a x^{3/2} \sqrt{a+b x} (8 A b-5 a B)}{96 b^2}+\frac{x^{5/2} \sqrt{a+b x} (8 A b-5 a B)}{24 b}+\frac{B x^{5/2} (a+b x)^{3/2}}{4 b}","-\frac{a^2 \sqrt{x} \sqrt{a+b x} (8 A b-5 a B)}{64 b^3}+\frac{a^3 (8 A b-5 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{64 b^{7/2}}+\frac{a x^{3/2} \sqrt{a+b x} (8 A b-5 a B)}{96 b^2}+\frac{x^{5/2} \sqrt{a+b x} (8 A b-5 a B)}{24 b}+\frac{B x^{5/2} (a+b x)^{3/2}}{4 b}",1,"-(a^2*(8*A*b - 5*a*B)*Sqrt[x]*Sqrt[a + b*x])/(64*b^3) + (a*(8*A*b - 5*a*B)*x^(3/2)*Sqrt[a + b*x])/(96*b^2) + ((8*A*b - 5*a*B)*x^(5/2)*Sqrt[a + b*x])/(24*b) + (B*x^(5/2)*(a + b*x)^(3/2))/(4*b) + (a^3*(8*A*b - 5*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(64*b^(7/2))","A",7,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
481,1,126,0,0.0560503,"\int \sqrt{x} \sqrt{a+b x} (A+B x) \, dx","Int[Sqrt[x]*Sqrt[a + b*x]*(A + B*x),x]","-\frac{a^2 (2 A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{8 b^{5/2}}+\frac{a \sqrt{x} \sqrt{a+b x} (2 A b-a B)}{8 b^2}+\frac{x^{3/2} \sqrt{a+b x} (2 A b-a B)}{4 b}+\frac{B x^{3/2} (a+b x)^{3/2}}{3 b}","-\frac{a^2 (2 A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{8 b^{5/2}}+\frac{a \sqrt{x} \sqrt{a+b x} (2 A b-a B)}{8 b^2}+\frac{x^{3/2} \sqrt{a+b x} (2 A b-a B)}{4 b}+\frac{B x^{3/2} (a+b x)^{3/2}}{3 b}",1,"(a*(2*A*b - a*B)*Sqrt[x]*Sqrt[a + b*x])/(8*b^2) + ((2*A*b - a*B)*x^(3/2)*Sqrt[a + b*x])/(4*b) + (B*x^(3/2)*(a + b*x)^(3/2))/(3*b) - (a^2*(2*A*b - a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(8*b^(5/2))","A",6,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
482,1,93,0,0.039612,"\int \frac{\sqrt{a+b x} (A+B x)}{\sqrt{x}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/Sqrt[x],x]","\frac{a (4 A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{4 b^{3/2}}+\frac{\sqrt{x} \sqrt{a+b x} (4 A b-a B)}{4 b}+\frac{B \sqrt{x} (a+b x)^{3/2}}{2 b}","\frac{a (4 A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{4 b^{3/2}}+\frac{\sqrt{x} \sqrt{a+b x} (4 A b-a B)}{4 b}+\frac{B \sqrt{x} (a+b x)^{3/2}}{2 b}",1,"((4*A*b - a*B)*Sqrt[x]*Sqrt[a + b*x])/(4*b) + (B*Sqrt[x]*(a + b*x)^(3/2))/(2*b) + (a*(4*A*b - a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(4*b^(3/2))","A",5,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
483,1,82,0,0.0402522,"\int \frac{\sqrt{a+b x} (A+B x)}{x^{3/2}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/x^(3/2),x]","\frac{\sqrt{x} \sqrt{a+b x} (a B+2 A b)}{a}+\frac{(a B+2 A b) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{\sqrt{b}}-\frac{2 A (a+b x)^{3/2}}{a \sqrt{x}}","\frac{\sqrt{x} \sqrt{a+b x} (a B+2 A b)}{a}+\frac{(a B+2 A b) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{\sqrt{b}}-\frac{2 A (a+b x)^{3/2}}{a \sqrt{x}}",1,"((2*A*b + a*B)*Sqrt[x]*Sqrt[a + b*x])/a - (2*A*(a + b*x)^(3/2))/(a*Sqrt[x]) + ((2*A*b + a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/Sqrt[b]","A",5,5,20,0.2500,1,"{78, 50, 63, 217, 206}"
484,1,69,0,0.0236461,"\int \frac{\sqrt{a+b x} (A+B x)}{x^{5/2}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/x^(5/2),x]","-\frac{2 A (a+b x)^{3/2}}{3 a x^{3/2}}-\frac{2 B \sqrt{a+b x}}{\sqrt{x}}+2 \sqrt{b} B \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)","-\frac{2 A (a+b x)^{3/2}}{3 a x^{3/2}}-\frac{2 B \sqrt{a+b x}}{\sqrt{x}}+2 \sqrt{b} B \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)",1,"(-2*B*Sqrt[a + b*x])/Sqrt[x] - (2*A*(a + b*x)^(3/2))/(3*a*x^(3/2)) + 2*Sqrt[b]*B*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]]","A",5,5,20,0.2500,1,"{78, 47, 63, 217, 206}"
485,1,53,0,0.0153268,"\int \frac{\sqrt{a+b x} (A+B x)}{x^{7/2}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/x^(7/2),x]","\frac{2 (a+b x)^{3/2} (2 A b-5 a B)}{15 a^2 x^{3/2}}-\frac{2 A (a+b x)^{3/2}}{5 a x^{5/2}}","\frac{2 (a+b x)^{3/2} (2 A b-5 a B)}{15 a^2 x^{3/2}}-\frac{2 A (a+b x)^{3/2}}{5 a x^{5/2}}",1,"(-2*A*(a + b*x)^(3/2))/(5*a*x^(5/2)) + (2*(2*A*b - 5*a*B)*(a + b*x)^(3/2))/(15*a^2*x^(3/2))","A",2,2,20,0.1000,1,"{78, 37}"
486,1,84,0,0.0273294,"\int \frac{\sqrt{a+b x} (A+B x)}{x^{9/2}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/x^(9/2),x]","-\frac{4 b (a+b x)^{3/2} (4 A b-7 a B)}{105 a^3 x^{3/2}}+\frac{2 (a+b x)^{3/2} (4 A b-7 a B)}{35 a^2 x^{5/2}}-\frac{2 A (a+b x)^{3/2}}{7 a x^{7/2}}","-\frac{4 b (a+b x)^{3/2} (4 A b-7 a B)}{105 a^3 x^{3/2}}+\frac{2 (a+b x)^{3/2} (4 A b-7 a B)}{35 a^2 x^{5/2}}-\frac{2 A (a+b x)^{3/2}}{7 a x^{7/2}}",1,"(-2*A*(a + b*x)^(3/2))/(7*a*x^(7/2)) + (2*(4*A*b - 7*a*B)*(a + b*x)^(3/2))/(35*a^2*x^(5/2)) - (4*b*(4*A*b - 7*a*B)*(a + b*x)^(3/2))/(105*a^3*x^(3/2))","A",3,3,20,0.1500,1,"{78, 45, 37}"
487,1,117,0,0.0395779,"\int \frac{\sqrt{a+b x} (A+B x)}{x^{11/2}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/x^(11/2),x]","\frac{16 b^2 (a+b x)^{3/2} (2 A b-3 a B)}{315 a^4 x^{3/2}}-\frac{8 b (a+b x)^{3/2} (2 A b-3 a B)}{105 a^3 x^{5/2}}+\frac{2 (a+b x)^{3/2} (2 A b-3 a B)}{21 a^2 x^{7/2}}-\frac{2 A (a+b x)^{3/2}}{9 a x^{9/2}}","\frac{16 b^2 (a+b x)^{3/2} (2 A b-3 a B)}{315 a^4 x^{3/2}}-\frac{8 b (a+b x)^{3/2} (2 A b-3 a B)}{105 a^3 x^{5/2}}+\frac{2 (a+b x)^{3/2} (2 A b-3 a B)}{21 a^2 x^{7/2}}-\frac{2 A (a+b x)^{3/2}}{9 a x^{9/2}}",1,"(-2*A*(a + b*x)^(3/2))/(9*a*x^(9/2)) + (2*(2*A*b - 3*a*B)*(a + b*x)^(3/2))/(21*a^2*x^(7/2)) - (8*b*(2*A*b - 3*a*B)*(a + b*x)^(3/2))/(105*a^3*x^(5/2)) + (16*b^2*(2*A*b - 3*a*B)*(a + b*x)^(3/2))/(315*a^4*x^(3/2))","A",4,3,20,0.1500,1,"{78, 45, 37}"
488,1,150,0,0.0553233,"\int \frac{\sqrt{a+b x} (A+B x)}{x^{13/2}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/x^(13/2),x]","-\frac{32 b^3 (a+b x)^{3/2} (8 A b-11 a B)}{3465 a^5 x^{3/2}}+\frac{16 b^2 (a+b x)^{3/2} (8 A b-11 a B)}{1155 a^4 x^{5/2}}-\frac{4 b (a+b x)^{3/2} (8 A b-11 a B)}{231 a^3 x^{7/2}}+\frac{2 (a+b x)^{3/2} (8 A b-11 a B)}{99 a^2 x^{9/2}}-\frac{2 A (a+b x)^{3/2}}{11 a x^{11/2}}","-\frac{32 b^3 (a+b x)^{3/2} (8 A b-11 a B)}{3465 a^5 x^{3/2}}+\frac{16 b^2 (a+b x)^{3/2} (8 A b-11 a B)}{1155 a^4 x^{5/2}}-\frac{4 b (a+b x)^{3/2} (8 A b-11 a B)}{231 a^3 x^{7/2}}+\frac{2 (a+b x)^{3/2} (8 A b-11 a B)}{99 a^2 x^{9/2}}-\frac{2 A (a+b x)^{3/2}}{11 a x^{11/2}}",1,"(-2*A*(a + b*x)^(3/2))/(11*a*x^(11/2)) + (2*(8*A*b - 11*a*B)*(a + b*x)^(3/2))/(99*a^2*x^(9/2)) - (4*b*(8*A*b - 11*a*B)*(a + b*x)^(3/2))/(231*a^3*x^(7/2)) + (16*b^2*(8*A*b - 11*a*B)*(a + b*x)^(3/2))/(1155*a^4*x^(5/2)) - (32*b^3*(8*A*b - 11*a*B)*(a + b*x)^(3/2))/(3465*a^5*x^(3/2))","A",5,3,20,0.1500,1,"{78, 45, 37}"
489,1,183,0,0.0734041,"\int \frac{\sqrt{a+b x} (A+B x)}{x^{15/2}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/x^(15/2),x]","\frac{256 b^4 (a+b x)^{3/2} (10 A b-13 a B)}{45045 a^6 x^{3/2}}-\frac{128 b^3 (a+b x)^{3/2} (10 A b-13 a B)}{15015 a^5 x^{5/2}}+\frac{32 b^2 (a+b x)^{3/2} (10 A b-13 a B)}{3003 a^4 x^{7/2}}-\frac{16 b (a+b x)^{3/2} (10 A b-13 a B)}{1287 a^3 x^{9/2}}+\frac{2 (a+b x)^{3/2} (10 A b-13 a B)}{143 a^2 x^{11/2}}-\frac{2 A (a+b x)^{3/2}}{13 a x^{13/2}}","\frac{256 b^4 (a+b x)^{3/2} (10 A b-13 a B)}{45045 a^6 x^{3/2}}-\frac{128 b^3 (a+b x)^{3/2} (10 A b-13 a B)}{15015 a^5 x^{5/2}}+\frac{32 b^2 (a+b x)^{3/2} (10 A b-13 a B)}{3003 a^4 x^{7/2}}-\frac{16 b (a+b x)^{3/2} (10 A b-13 a B)}{1287 a^3 x^{9/2}}+\frac{2 (a+b x)^{3/2} (10 A b-13 a B)}{143 a^2 x^{11/2}}-\frac{2 A (a+b x)^{3/2}}{13 a x^{13/2}}",1,"(-2*A*(a + b*x)^(3/2))/(13*a*x^(13/2)) + (2*(10*A*b - 13*a*B)*(a + b*x)^(3/2))/(143*a^2*x^(11/2)) - (16*b*(10*A*b - 13*a*B)*(a + b*x)^(3/2))/(1287*a^3*x^(9/2)) + (32*b^2*(10*A*b - 13*a*B)*(a + b*x)^(3/2))/(3003*a^4*x^(7/2)) - (128*b^3*(10*A*b - 13*a*B)*(a + b*x)^(3/2))/(15015*a^5*x^(5/2)) + (256*b^4*(10*A*b - 13*a*B)*(a + b*x)^(3/2))/(45045*a^6*x^(3/2))","A",6,3,20,0.1500,1,"{78, 45, 37}"
490,1,225,0,0.1030088,"\int x^{5/2} (a+b x)^{3/2} (A+B x) \, dx","Int[x^(5/2)*(a + b*x)^(3/2)*(A + B*x),x]","-\frac{a^3 x^{3/2} \sqrt{a+b x} (12 A b-7 a B)}{768 b^3}+\frac{a^2 x^{5/2} \sqrt{a+b x} (12 A b-7 a B)}{960 b^2}+\frac{a^4 \sqrt{x} \sqrt{a+b x} (12 A b-7 a B)}{512 b^4}-\frac{a^5 (12 A b-7 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{512 b^{9/2}}+\frac{a x^{7/2} \sqrt{a+b x} (12 A b-7 a B)}{160 b}+\frac{x^{7/2} (a+b x)^{3/2} (12 A b-7 a B)}{60 b}+\frac{B x^{7/2} (a+b x)^{5/2}}{6 b}","-\frac{a^3 x^{3/2} \sqrt{a+b x} (12 A b-7 a B)}{768 b^3}+\frac{a^2 x^{5/2} \sqrt{a+b x} (12 A b-7 a B)}{960 b^2}+\frac{a^4 \sqrt{x} \sqrt{a+b x} (12 A b-7 a B)}{512 b^4}-\frac{a^5 (12 A b-7 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{512 b^{9/2}}+\frac{a x^{7/2} \sqrt{a+b x} (12 A b-7 a B)}{160 b}+\frac{x^{7/2} (a+b x)^{3/2} (12 A b-7 a B)}{60 b}+\frac{B x^{7/2} (a+b x)^{5/2}}{6 b}",1,"(a^4*(12*A*b - 7*a*B)*Sqrt[x]*Sqrt[a + b*x])/(512*b^4) - (a^3*(12*A*b - 7*a*B)*x^(3/2)*Sqrt[a + b*x])/(768*b^3) + (a^2*(12*A*b - 7*a*B)*x^(5/2)*Sqrt[a + b*x])/(960*b^2) + (a*(12*A*b - 7*a*B)*x^(7/2)*Sqrt[a + b*x])/(160*b) + ((12*A*b - 7*a*B)*x^(7/2)*(a + b*x)^(3/2))/(60*b) + (B*x^(7/2)*(a + b*x)^(5/2))/(6*b) - (a^5*(12*A*b - 7*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(512*b^(9/2))","A",9,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
491,1,192,0,0.0834286,"\int x^{3/2} (a+b x)^{3/2} (A+B x) \, dx","Int[x^(3/2)*(a + b*x)^(3/2)*(A + B*x),x]","\frac{a^2 x^{3/2} \sqrt{a+b x} (2 A b-a B)}{64 b^2}-\frac{3 a^3 \sqrt{x} \sqrt{a+b x} (2 A b-a B)}{128 b^3}+\frac{3 a^4 (2 A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{128 b^{7/2}}+\frac{a x^{5/2} \sqrt{a+b x} (2 A b-a B)}{16 b}+\frac{x^{5/2} (a+b x)^{3/2} (2 A b-a B)}{8 b}+\frac{B x^{5/2} (a+b x)^{5/2}}{5 b}","\frac{a^2 x^{3/2} \sqrt{a+b x} (2 A b-a B)}{64 b^2}-\frac{3 a^3 \sqrt{x} \sqrt{a+b x} (2 A b-a B)}{128 b^3}+\frac{3 a^4 (2 A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{128 b^{7/2}}+\frac{a x^{5/2} \sqrt{a+b x} (2 A b-a B)}{16 b}+\frac{x^{5/2} (a+b x)^{3/2} (2 A b-a B)}{8 b}+\frac{B x^{5/2} (a+b x)^{5/2}}{5 b}",1,"(-3*a^3*(2*A*b - a*B)*Sqrt[x]*Sqrt[a + b*x])/(128*b^3) + (a^2*(2*A*b - a*B)*x^(3/2)*Sqrt[a + b*x])/(64*b^2) + (a*(2*A*b - a*B)*x^(5/2)*Sqrt[a + b*x])/(16*b) + ((2*A*b - a*B)*x^(5/2)*(a + b*x)^(3/2))/(8*b) + (B*x^(5/2)*(a + b*x)^(5/2))/(5*b) + (3*a^4*(2*A*b - a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(128*b^(7/2))","A",8,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
492,1,159,0,0.0672959,"\int \sqrt{x} (a+b x)^{3/2} (A+B x) \, dx","Int[Sqrt[x]*(a + b*x)^(3/2)*(A + B*x),x]","\frac{a^2 \sqrt{x} \sqrt{a+b x} (8 A b-3 a B)}{64 b^2}-\frac{a^3 (8 A b-3 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{64 b^{5/2}}+\frac{a x^{3/2} \sqrt{a+b x} (8 A b-3 a B)}{32 b}+\frac{x^{3/2} (a+b x)^{3/2} (8 A b-3 a B)}{24 b}+\frac{B x^{3/2} (a+b x)^{5/2}}{4 b}","\frac{a^2 \sqrt{x} \sqrt{a+b x} (8 A b-3 a B)}{64 b^2}-\frac{a^3 (8 A b-3 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{64 b^{5/2}}+\frac{a x^{3/2} \sqrt{a+b x} (8 A b-3 a B)}{32 b}+\frac{x^{3/2} (a+b x)^{3/2} (8 A b-3 a B)}{24 b}+\frac{B x^{3/2} (a+b x)^{5/2}}{4 b}",1,"(a^2*(8*A*b - 3*a*B)*Sqrt[x]*Sqrt[a + b*x])/(64*b^2) + (a*(8*A*b - 3*a*B)*x^(3/2)*Sqrt[a + b*x])/(32*b) + ((8*A*b - 3*a*B)*x^(3/2)*(a + b*x)^(3/2))/(24*b) + (B*x^(3/2)*(a + b*x)^(5/2))/(4*b) - (a^3*(8*A*b - 3*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(64*b^(5/2))","A",7,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
493,1,126,0,0.0538404,"\int \frac{(a+b x)^{3/2} (A+B x)}{\sqrt{x}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/Sqrt[x],x]","\frac{a^2 (6 A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{8 b^{3/2}}+\frac{\sqrt{x} (a+b x)^{3/2} (6 A b-a B)}{12 b}+\frac{a \sqrt{x} \sqrt{a+b x} (6 A b-a B)}{8 b}+\frac{B \sqrt{x} (a+b x)^{5/2}}{3 b}","\frac{a^2 (6 A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{8 b^{3/2}}+\frac{\sqrt{x} (a+b x)^{3/2} (6 A b-a B)}{12 b}+\frac{a \sqrt{x} \sqrt{a+b x} (6 A b-a B)}{8 b}+\frac{B \sqrt{x} (a+b x)^{5/2}}{3 b}",1,"(a*(6*A*b - a*B)*Sqrt[x]*Sqrt[a + b*x])/(8*b) + ((6*A*b - a*B)*Sqrt[x]*(a + b*x)^(3/2))/(12*b) + (B*Sqrt[x]*(a + b*x)^(5/2))/(3*b) + (a^2*(6*A*b - a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(8*b^(3/2))","A",6,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
494,1,115,0,0.0505838,"\int \frac{(a+b x)^{3/2} (A+B x)}{x^{3/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x^(3/2),x]","\frac{\sqrt{x} (a+b x)^{3/2} (a B+4 A b)}{2 a}+\frac{3}{4} \sqrt{x} \sqrt{a+b x} (a B+4 A b)+\frac{3 a (a B+4 A b) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{4 \sqrt{b}}-\frac{2 A (a+b x)^{5/2}}{a \sqrt{x}}","\frac{\sqrt{x} (a+b x)^{3/2} (a B+4 A b)}{2 a}+\frac{3}{4} \sqrt{x} \sqrt{a+b x} (a B+4 A b)+\frac{3 a (a B+4 A b) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{4 \sqrt{b}}-\frac{2 A (a+b x)^{5/2}}{a \sqrt{x}}",1,"(3*(4*A*b + a*B)*Sqrt[x]*Sqrt[a + b*x])/4 + ((4*A*b + a*B)*Sqrt[x]*(a + b*x)^(3/2))/(2*a) - (2*A*(a + b*x)^(5/2))/(a*Sqrt[x]) + (3*a*(4*A*b + a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(4*Sqrt[b])","A",6,5,20,0.2500,1,"{78, 50, 63, 217, 206}"
495,1,117,0,0.0509159,"\int \frac{(a+b x)^{3/2} (A+B x)}{x^{5/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x^(5/2),x]","-\frac{2 (a+b x)^{3/2} (3 a B+2 A b)}{3 a \sqrt{x}}+\frac{b \sqrt{x} \sqrt{a+b x} (3 a B+2 A b)}{a}+\sqrt{b} (3 a B+2 A b) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)-\frac{2 A (a+b x)^{5/2}}{3 a x^{3/2}}","-\frac{2 (a+b x)^{3/2} (3 a B+2 A b)}{3 a \sqrt{x}}+\frac{b \sqrt{x} \sqrt{a+b x} (3 a B+2 A b)}{a}+\sqrt{b} (3 a B+2 A b) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)-\frac{2 A (a+b x)^{5/2}}{3 a x^{3/2}}",1,"(b*(2*A*b + 3*a*B)*Sqrt[x]*Sqrt[a + b*x])/a - (2*(2*A*b + 3*a*B)*(a + b*x)^(3/2))/(3*a*Sqrt[x]) - (2*A*(a + b*x)^(5/2))/(3*a*x^(3/2)) + Sqrt[b]*(2*A*b + 3*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]]","A",6,6,20,0.3000,1,"{78, 47, 50, 63, 217, 206}"
496,1,89,0,0.0279973,"\int \frac{(a+b x)^{3/2} (A+B x)}{x^{7/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x^(7/2),x]","-\frac{2 A (a+b x)^{5/2}}{5 a x^{5/2}}+2 b^{3/2} B \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)-\frac{2 B (a+b x)^{3/2}}{3 x^{3/2}}-\frac{2 b B \sqrt{a+b x}}{\sqrt{x}}","-\frac{2 A (a+b x)^{5/2}}{5 a x^{5/2}}+2 b^{3/2} B \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)-\frac{2 B (a+b x)^{3/2}}{3 x^{3/2}}-\frac{2 b B \sqrt{a+b x}}{\sqrt{x}}",1,"(-2*b*B*Sqrt[a + b*x])/Sqrt[x] - (2*B*(a + b*x)^(3/2))/(3*x^(3/2)) - (2*A*(a + b*x)^(5/2))/(5*a*x^(5/2)) + 2*b^(3/2)*B*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]]","A",6,5,20,0.2500,1,"{78, 47, 63, 217, 206}"
497,1,53,0,0.0146028,"\int \frac{(a+b x)^{3/2} (A+B x)}{x^{9/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x^(9/2),x]","\frac{2 (a+b x)^{5/2} (2 A b-7 a B)}{35 a^2 x^{5/2}}-\frac{2 A (a+b x)^{5/2}}{7 a x^{7/2}}","\frac{2 (a+b x)^{5/2} (2 A b-7 a B)}{35 a^2 x^{5/2}}-\frac{2 A (a+b x)^{5/2}}{7 a x^{7/2}}",1,"(-2*A*(a + b*x)^(5/2))/(7*a*x^(7/2)) + (2*(2*A*b - 7*a*B)*(a + b*x)^(5/2))/(35*a^2*x^(5/2))","A",2,2,20,0.1000,1,"{78, 37}"
498,1,84,0,0.0272937,"\int \frac{(a+b x)^{3/2} (A+B x)}{x^{11/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x^(11/2),x]","-\frac{4 b (a+b x)^{5/2} (4 A b-9 a B)}{315 a^3 x^{5/2}}+\frac{2 (a+b x)^{5/2} (4 A b-9 a B)}{63 a^2 x^{7/2}}-\frac{2 A (a+b x)^{5/2}}{9 a x^{9/2}}","-\frac{4 b (a+b x)^{5/2} (4 A b-9 a B)}{315 a^3 x^{5/2}}+\frac{2 (a+b x)^{5/2} (4 A b-9 a B)}{63 a^2 x^{7/2}}-\frac{2 A (a+b x)^{5/2}}{9 a x^{9/2}}",1,"(-2*A*(a + b*x)^(5/2))/(9*a*x^(9/2)) + (2*(4*A*b - 9*a*B)*(a + b*x)^(5/2))/(63*a^2*x^(7/2)) - (4*b*(4*A*b - 9*a*B)*(a + b*x)^(5/2))/(315*a^3*x^(5/2))","A",3,3,20,0.1500,1,"{78, 45, 37}"
499,1,117,0,0.0408825,"\int \frac{(a+b x)^{3/2} (A+B x)}{x^{13/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x^(13/2),x]","\frac{16 b^2 (a+b x)^{5/2} (6 A b-11 a B)}{3465 a^4 x^{5/2}}-\frac{8 b (a+b x)^{5/2} (6 A b-11 a B)}{693 a^3 x^{7/2}}+\frac{2 (a+b x)^{5/2} (6 A b-11 a B)}{99 a^2 x^{9/2}}-\frac{2 A (a+b x)^{5/2}}{11 a x^{11/2}}","\frac{16 b^2 (a+b x)^{5/2} (6 A b-11 a B)}{3465 a^4 x^{5/2}}-\frac{8 b (a+b x)^{5/2} (6 A b-11 a B)}{693 a^3 x^{7/2}}+\frac{2 (a+b x)^{5/2} (6 A b-11 a B)}{99 a^2 x^{9/2}}-\frac{2 A (a+b x)^{5/2}}{11 a x^{11/2}}",1,"(-2*A*(a + b*x)^(5/2))/(11*a*x^(11/2)) + (2*(6*A*b - 11*a*B)*(a + b*x)^(5/2))/(99*a^2*x^(9/2)) - (8*b*(6*A*b - 11*a*B)*(a + b*x)^(5/2))/(693*a^3*x^(7/2)) + (16*b^2*(6*A*b - 11*a*B)*(a + b*x)^(5/2))/(3465*a^4*x^(5/2))","A",4,3,20,0.1500,1,"{78, 45, 37}"
500,1,150,0,0.0563563,"\int \frac{(a+b x)^{3/2} (A+B x)}{x^{15/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x^(15/2),x]","-\frac{32 b^3 (a+b x)^{5/2} (8 A b-13 a B)}{15015 a^5 x^{5/2}}+\frac{16 b^2 (a+b x)^{5/2} (8 A b-13 a B)}{3003 a^4 x^{7/2}}-\frac{4 b (a+b x)^{5/2} (8 A b-13 a B)}{429 a^3 x^{9/2}}+\frac{2 (a+b x)^{5/2} (8 A b-13 a B)}{143 a^2 x^{11/2}}-\frac{2 A (a+b x)^{5/2}}{13 a x^{13/2}}","-\frac{32 b^3 (a+b x)^{5/2} (8 A b-13 a B)}{15015 a^5 x^{5/2}}+\frac{16 b^2 (a+b x)^{5/2} (8 A b-13 a B)}{3003 a^4 x^{7/2}}-\frac{4 b (a+b x)^{5/2} (8 A b-13 a B)}{429 a^3 x^{9/2}}+\frac{2 (a+b x)^{5/2} (8 A b-13 a B)}{143 a^2 x^{11/2}}-\frac{2 A (a+b x)^{5/2}}{13 a x^{13/2}}",1,"(-2*A*(a + b*x)^(5/2))/(13*a*x^(13/2)) + (2*(8*A*b - 13*a*B)*(a + b*x)^(5/2))/(143*a^2*x^(11/2)) - (4*b*(8*A*b - 13*a*B)*(a + b*x)^(5/2))/(429*a^3*x^(9/2)) + (16*b^2*(8*A*b - 13*a*B)*(a + b*x)^(5/2))/(3003*a^4*x^(7/2)) - (32*b^3*(8*A*b - 13*a*B)*(a + b*x)^(5/2))/(15015*a^5*x^(5/2))","A",5,3,20,0.1500,1,"{78, 45, 37}"
501,1,183,0,0.0675422,"\int \frac{(a+b x)^{3/2} (A+B x)}{x^{17/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/x^(17/2),x]","\frac{256 b^4 (a+b x)^{5/2} (2 A b-3 a B)}{45045 a^6 x^{5/2}}-\frac{128 b^3 (a+b x)^{5/2} (2 A b-3 a B)}{9009 a^5 x^{7/2}}+\frac{32 b^2 (a+b x)^{5/2} (2 A b-3 a B)}{1287 a^4 x^{9/2}}-\frac{16 b (a+b x)^{5/2} (2 A b-3 a B)}{429 a^3 x^{11/2}}+\frac{2 (a+b x)^{5/2} (2 A b-3 a B)}{39 a^2 x^{13/2}}-\frac{2 A (a+b x)^{5/2}}{15 a x^{15/2}}","\frac{256 b^4 (a+b x)^{5/2} (2 A b-3 a B)}{45045 a^6 x^{5/2}}-\frac{128 b^3 (a+b x)^{5/2} (2 A b-3 a B)}{9009 a^5 x^{7/2}}+\frac{32 b^2 (a+b x)^{5/2} (2 A b-3 a B)}{1287 a^4 x^{9/2}}-\frac{16 b (a+b x)^{5/2} (2 A b-3 a B)}{429 a^3 x^{11/2}}+\frac{2 (a+b x)^{5/2} (2 A b-3 a B)}{39 a^2 x^{13/2}}-\frac{2 A (a+b x)^{5/2}}{15 a x^{15/2}}",1,"(-2*A*(a + b*x)^(5/2))/(15*a*x^(15/2)) + (2*(2*A*b - 3*a*B)*(a + b*x)^(5/2))/(39*a^2*x^(13/2)) - (16*b*(2*A*b - 3*a*B)*(a + b*x)^(5/2))/(429*a^3*x^(11/2)) + (32*b^2*(2*A*b - 3*a*B)*(a + b*x)^(5/2))/(1287*a^4*x^(9/2)) - (128*b^3*(2*A*b - 3*a*B)*(a + b*x)^(5/2))/(9009*a^5*x^(7/2)) + (256*b^4*(2*A*b - 3*a*B)*(a + b*x)^(5/2))/(45045*a^6*x^(5/2))","A",6,3,20,0.1500,1,"{78, 45, 37}"
502,1,225,0,0.105212,"\int x^{3/2} (a+b x)^{5/2} (A+B x) \, dx","Int[x^(3/2)*(a + b*x)^(5/2)*(A + B*x),x]","\frac{a^3 x^{3/2} \sqrt{a+b x} (12 A b-5 a B)}{768 b^2}-\frac{a^4 \sqrt{x} \sqrt{a+b x} (12 A b-5 a B)}{512 b^3}+\frac{a^5 (12 A b-5 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{512 b^{7/2}}+\frac{a^2 x^{5/2} \sqrt{a+b x} (12 A b-5 a B)}{192 b}+\frac{a x^{5/2} (a+b x)^{3/2} (12 A b-5 a B)}{96 b}+\frac{x^{5/2} (a+b x)^{5/2} (12 A b-5 a B)}{60 b}+\frac{B x^{5/2} (a+b x)^{7/2}}{6 b}","\frac{a^3 x^{3/2} \sqrt{a+b x} (12 A b-5 a B)}{768 b^2}-\frac{a^4 \sqrt{x} \sqrt{a+b x} (12 A b-5 a B)}{512 b^3}+\frac{a^5 (12 A b-5 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{512 b^{7/2}}+\frac{a^2 x^{5/2} \sqrt{a+b x} (12 A b-5 a B)}{192 b}+\frac{a x^{5/2} (a+b x)^{3/2} (12 A b-5 a B)}{96 b}+\frac{x^{5/2} (a+b x)^{5/2} (12 A b-5 a B)}{60 b}+\frac{B x^{5/2} (a+b x)^{7/2}}{6 b}",1,"-(a^4*(12*A*b - 5*a*B)*Sqrt[x]*Sqrt[a + b*x])/(512*b^3) + (a^3*(12*A*b - 5*a*B)*x^(3/2)*Sqrt[a + b*x])/(768*b^2) + (a^2*(12*A*b - 5*a*B)*x^(5/2)*Sqrt[a + b*x])/(192*b) + (a*(12*A*b - 5*a*B)*x^(5/2)*(a + b*x)^(3/2))/(96*b) + ((12*A*b - 5*a*B)*x^(5/2)*(a + b*x)^(5/2))/(60*b) + (B*x^(5/2)*(a + b*x)^(7/2))/(6*b) + (a^5*(12*A*b - 5*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(512*b^(7/2))","A",9,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
503,1,192,0,0.0823472,"\int \sqrt{x} (a+b x)^{5/2} (A+B x) \, dx","Int[Sqrt[x]*(a + b*x)^(5/2)*(A + B*x),x]","\frac{a^3 \sqrt{x} \sqrt{a+b x} (10 A b-3 a B)}{128 b^2}-\frac{a^4 (10 A b-3 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{128 b^{5/2}}+\frac{a^2 x^{3/2} \sqrt{a+b x} (10 A b-3 a B)}{64 b}+\frac{a x^{3/2} (a+b x)^{3/2} (10 A b-3 a B)}{48 b}+\frac{x^{3/2} (a+b x)^{5/2} (10 A b-3 a B)}{40 b}+\frac{B x^{3/2} (a+b x)^{7/2}}{5 b}","\frac{a^3 \sqrt{x} \sqrt{a+b x} (10 A b-3 a B)}{128 b^2}-\frac{a^4 (10 A b-3 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{128 b^{5/2}}+\frac{a^2 x^{3/2} \sqrt{a+b x} (10 A b-3 a B)}{64 b}+\frac{a x^{3/2} (a+b x)^{3/2} (10 A b-3 a B)}{48 b}+\frac{x^{3/2} (a+b x)^{5/2} (10 A b-3 a B)}{40 b}+\frac{B x^{3/2} (a+b x)^{7/2}}{5 b}",1,"(a^3*(10*A*b - 3*a*B)*Sqrt[x]*Sqrt[a + b*x])/(128*b^2) + (a^2*(10*A*b - 3*a*B)*x^(3/2)*Sqrt[a + b*x])/(64*b) + (a*(10*A*b - 3*a*B)*x^(3/2)*(a + b*x)^(3/2))/(48*b) + ((10*A*b - 3*a*B)*x^(3/2)*(a + b*x)^(5/2))/(40*b) + (B*x^(3/2)*(a + b*x)^(7/2))/(5*b) - (a^4*(10*A*b - 3*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(128*b^(5/2))","A",8,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
504,1,159,0,0.065605,"\int \frac{(a+b x)^{5/2} (A+B x)}{\sqrt{x}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/Sqrt[x],x]","\frac{5 a^3 (8 A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{64 b^{3/2}}+\frac{5 a^2 \sqrt{x} \sqrt{a+b x} (8 A b-a B)}{64 b}+\frac{\sqrt{x} (a+b x)^{5/2} (8 A b-a B)}{24 b}+\frac{5 a \sqrt{x} (a+b x)^{3/2} (8 A b-a B)}{96 b}+\frac{B \sqrt{x} (a+b x)^{7/2}}{4 b}","\frac{5 a^3 (8 A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{64 b^{3/2}}+\frac{5 a^2 \sqrt{x} \sqrt{a+b x} (8 A b-a B)}{64 b}+\frac{\sqrt{x} (a+b x)^{5/2} (8 A b-a B)}{24 b}+\frac{5 a \sqrt{x} (a+b x)^{3/2} (8 A b-a B)}{96 b}+\frac{B \sqrt{x} (a+b x)^{7/2}}{4 b}",1,"(5*a^2*(8*A*b - a*B)*Sqrt[x]*Sqrt[a + b*x])/(64*b) + (5*a*(8*A*b - a*B)*Sqrt[x]*(a + b*x)^(3/2))/(96*b) + ((8*A*b - a*B)*Sqrt[x]*(a + b*x)^(5/2))/(24*b) + (B*Sqrt[x]*(a + b*x)^(7/2))/(4*b) + (5*a^3*(8*A*b - a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(64*b^(3/2))","A",7,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
505,1,144,0,0.0626256,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^{3/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^(3/2),x]","\frac{5 a^2 (a B+6 A b) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{8 \sqrt{b}}+\frac{\sqrt{x} (a+b x)^{5/2} (a B+6 A b)}{3 a}+\frac{5}{12} \sqrt{x} (a+b x)^{3/2} (a B+6 A b)+\frac{5}{8} a \sqrt{x} \sqrt{a+b x} (a B+6 A b)-\frac{2 A (a+b x)^{7/2}}{a \sqrt{x}}","\frac{5 a^2 (a B+6 A b) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{8 \sqrt{b}}+\frac{\sqrt{x} (a+b x)^{5/2} (a B+6 A b)}{3 a}+\frac{5}{12} \sqrt{x} (a+b x)^{3/2} (a B+6 A b)+\frac{5}{8} a \sqrt{x} \sqrt{a+b x} (a B+6 A b)-\frac{2 A (a+b x)^{7/2}}{a \sqrt{x}}",1,"(5*a*(6*A*b + a*B)*Sqrt[x]*Sqrt[a + b*x])/8 + (5*(6*A*b + a*B)*Sqrt[x]*(a + b*x)^(3/2))/12 + ((6*A*b + a*B)*Sqrt[x]*(a + b*x)^(5/2))/(3*a) - (2*A*(a + b*x)^(7/2))/(a*Sqrt[x]) + (5*a^2*(6*A*b + a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(8*Sqrt[b])","A",7,5,20,0.2500,1,"{78, 50, 63, 217, 206}"
506,1,152,0,0.0633792,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^{5/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^(5/2),x]","-\frac{2 (a+b x)^{5/2} (3 a B+4 A b)}{3 a \sqrt{x}}+\frac{5 b \sqrt{x} (a+b x)^{3/2} (3 a B+4 A b)}{6 a}+\frac{5}{4} b \sqrt{x} \sqrt{a+b x} (3 a B+4 A b)+\frac{5}{4} a \sqrt{b} (3 a B+4 A b) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)-\frac{2 A (a+b x)^{7/2}}{3 a x^{3/2}}","-\frac{2 (a+b x)^{5/2} (3 a B+4 A b)}{3 a \sqrt{x}}+\frac{5 b \sqrt{x} (a+b x)^{3/2} (3 a B+4 A b)}{6 a}+\frac{5}{4} b \sqrt{x} \sqrt{a+b x} (3 a B+4 A b)+\frac{5}{4} a \sqrt{b} (3 a B+4 A b) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)-\frac{2 A (a+b x)^{7/2}}{3 a x^{3/2}}",1,"(5*b*(4*A*b + 3*a*B)*Sqrt[x]*Sqrt[a + b*x])/4 + (5*b*(4*A*b + 3*a*B)*Sqrt[x]*(a + b*x)^(3/2))/(6*a) - (2*(4*A*b + 3*a*B)*(a + b*x)^(5/2))/(3*a*Sqrt[x]) - (2*A*(a + b*x)^(7/2))/(3*a*x^(3/2)) + (5*a*Sqrt[b]*(4*A*b + 3*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/4","A",7,6,20,0.3000,1,"{78, 47, 50, 63, 217, 206}"
507,1,150,0,0.0654343,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^{7/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^(7/2),x]","\frac{b^2 \sqrt{x} \sqrt{a+b x} (5 a B+2 A b)}{a}+b^{3/2} (5 a B+2 A b) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)-\frac{2 (a+b x)^{5/2} (5 a B+2 A b)}{15 a x^{3/2}}-\frac{2 b (a+b x)^{3/2} (5 a B+2 A b)}{3 a \sqrt{x}}-\frac{2 A (a+b x)^{7/2}}{5 a x^{5/2}}","\frac{b^2 \sqrt{x} \sqrt{a+b x} (5 a B+2 A b)}{a}+b^{3/2} (5 a B+2 A b) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)-\frac{2 (a+b x)^{5/2} (5 a B+2 A b)}{15 a x^{3/2}}-\frac{2 b (a+b x)^{3/2} (5 a B+2 A b)}{3 a \sqrt{x}}-\frac{2 A (a+b x)^{7/2}}{5 a x^{5/2}}",1,"(b^2*(2*A*b + 5*a*B)*Sqrt[x]*Sqrt[a + b*x])/a - (2*b*(2*A*b + 5*a*B)*(a + b*x)^(3/2))/(3*a*Sqrt[x]) - (2*(2*A*b + 5*a*B)*(a + b*x)^(5/2))/(15*a*x^(3/2)) - (2*A*(a + b*x)^(7/2))/(5*a*x^(5/2)) + b^(3/2)*(2*A*b + 5*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]]","A",7,6,20,0.3000,1,"{78, 47, 50, 63, 217, 206}"
508,1,111,0,0.0365201,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^{9/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^(9/2),x]","-\frac{2 A (a+b x)^{7/2}}{7 a x^{7/2}}-\frac{2 b^2 B \sqrt{a+b x}}{\sqrt{x}}+2 b^{5/2} B \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)-\frac{2 B (a+b x)^{5/2}}{5 x^{5/2}}-\frac{2 b B (a+b x)^{3/2}}{3 x^{3/2}}","-\frac{2 A (a+b x)^{7/2}}{7 a x^{7/2}}-\frac{2 b^2 B \sqrt{a+b x}}{\sqrt{x}}+2 b^{5/2} B \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)-\frac{2 B (a+b x)^{5/2}}{5 x^{5/2}}-\frac{2 b B (a+b x)^{3/2}}{3 x^{3/2}}",1,"(-2*b^2*B*Sqrt[a + b*x])/Sqrt[x] - (2*b*B*(a + b*x)^(3/2))/(3*x^(3/2)) - (2*B*(a + b*x)^(5/2))/(5*x^(5/2)) - (2*A*(a + b*x)^(7/2))/(7*a*x^(7/2)) + 2*b^(5/2)*B*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]]","A",7,5,20,0.2500,1,"{78, 47, 63, 217, 206}"
509,1,53,0,0.0142352,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^{11/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^(11/2),x]","\frac{2 (a+b x)^{7/2} (2 A b-9 a B)}{63 a^2 x^{7/2}}-\frac{2 A (a+b x)^{7/2}}{9 a x^{9/2}}","\frac{2 (a+b x)^{7/2} (2 A b-9 a B)}{63 a^2 x^{7/2}}-\frac{2 A (a+b x)^{7/2}}{9 a x^{9/2}}",1,"(-2*A*(a + b*x)^(7/2))/(9*a*x^(9/2)) + (2*(2*A*b - 9*a*B)*(a + b*x)^(7/2))/(63*a^2*x^(7/2))","A",2,2,20,0.1000,1,"{78, 37}"
510,1,84,0,0.0268538,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^{13/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^(13/2),x]","-\frac{4 b (a+b x)^{7/2} (4 A b-11 a B)}{693 a^3 x^{7/2}}+\frac{2 (a+b x)^{7/2} (4 A b-11 a B)}{99 a^2 x^{9/2}}-\frac{2 A (a+b x)^{7/2}}{11 a x^{11/2}}","-\frac{4 b (a+b x)^{7/2} (4 A b-11 a B)}{693 a^3 x^{7/2}}+\frac{2 (a+b x)^{7/2} (4 A b-11 a B)}{99 a^2 x^{9/2}}-\frac{2 A (a+b x)^{7/2}}{11 a x^{11/2}}",1,"(-2*A*(a + b*x)^(7/2))/(11*a*x^(11/2)) + (2*(4*A*b - 11*a*B)*(a + b*x)^(7/2))/(99*a^2*x^(9/2)) - (4*b*(4*A*b - 11*a*B)*(a + b*x)^(7/2))/(693*a^3*x^(7/2))","A",3,3,20,0.1500,1,"{78, 45, 37}"
511,1,117,0,0.0400097,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^{15/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^(15/2),x]","\frac{16 b^2 (a+b x)^{7/2} (6 A b-13 a B)}{9009 a^4 x^{7/2}}-\frac{8 b (a+b x)^{7/2} (6 A b-13 a B)}{1287 a^3 x^{9/2}}+\frac{2 (a+b x)^{7/2} (6 A b-13 a B)}{143 a^2 x^{11/2}}-\frac{2 A (a+b x)^{7/2}}{13 a x^{13/2}}","\frac{16 b^2 (a+b x)^{7/2} (6 A b-13 a B)}{9009 a^4 x^{7/2}}-\frac{8 b (a+b x)^{7/2} (6 A b-13 a B)}{1287 a^3 x^{9/2}}+\frac{2 (a+b x)^{7/2} (6 A b-13 a B)}{143 a^2 x^{11/2}}-\frac{2 A (a+b x)^{7/2}}{13 a x^{13/2}}",1,"(-2*A*(a + b*x)^(7/2))/(13*a*x^(13/2)) + (2*(6*A*b - 13*a*B)*(a + b*x)^(7/2))/(143*a^2*x^(11/2)) - (8*b*(6*A*b - 13*a*B)*(a + b*x)^(7/2))/(1287*a^3*x^(9/2)) + (16*b^2*(6*A*b - 13*a*B)*(a + b*x)^(7/2))/(9009*a^4*x^(7/2))","A",4,3,20,0.1500,1,"{78, 45, 37}"
512,1,150,0,0.0540292,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^{17/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^(17/2),x]","-\frac{32 b^3 (a+b x)^{7/2} (8 A b-15 a B)}{45045 a^5 x^{7/2}}+\frac{16 b^2 (a+b x)^{7/2} (8 A b-15 a B)}{6435 a^4 x^{9/2}}-\frac{4 b (a+b x)^{7/2} (8 A b-15 a B)}{715 a^3 x^{11/2}}+\frac{2 (a+b x)^{7/2} (8 A b-15 a B)}{195 a^2 x^{13/2}}-\frac{2 A (a+b x)^{7/2}}{15 a x^{15/2}}","-\frac{32 b^3 (a+b x)^{7/2} (8 A b-15 a B)}{45045 a^5 x^{7/2}}+\frac{16 b^2 (a+b x)^{7/2} (8 A b-15 a B)}{6435 a^4 x^{9/2}}-\frac{4 b (a+b x)^{7/2} (8 A b-15 a B)}{715 a^3 x^{11/2}}+\frac{2 (a+b x)^{7/2} (8 A b-15 a B)}{195 a^2 x^{13/2}}-\frac{2 A (a+b x)^{7/2}}{15 a x^{15/2}}",1,"(-2*A*(a + b*x)^(7/2))/(15*a*x^(15/2)) + (2*(8*A*b - 15*a*B)*(a + b*x)^(7/2))/(195*a^2*x^(13/2)) - (4*b*(8*A*b - 15*a*B)*(a + b*x)^(7/2))/(715*a^3*x^(11/2)) + (16*b^2*(8*A*b - 15*a*B)*(a + b*x)^(7/2))/(6435*a^4*x^(9/2)) - (32*b^3*(8*A*b - 15*a*B)*(a + b*x)^(7/2))/(45045*a^5*x^(7/2))","A",5,3,20,0.1500,1,"{78, 45, 37}"
513,1,183,0,0.0707995,"\int \frac{(a+b x)^{5/2} (A+B x)}{x^{19/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/x^(19/2),x]","\frac{256 b^4 (a+b x)^{7/2} (10 A b-17 a B)}{765765 a^6 x^{7/2}}-\frac{128 b^3 (a+b x)^{7/2} (10 A b-17 a B)}{109395 a^5 x^{9/2}}+\frac{32 b^2 (a+b x)^{7/2} (10 A b-17 a B)}{12155 a^4 x^{11/2}}-\frac{16 b (a+b x)^{7/2} (10 A b-17 a B)}{3315 a^3 x^{13/2}}+\frac{2 (a+b x)^{7/2} (10 A b-17 a B)}{255 a^2 x^{15/2}}-\frac{2 A (a+b x)^{7/2}}{17 a x^{17/2}}","\frac{256 b^4 (a+b x)^{7/2} (10 A b-17 a B)}{765765 a^6 x^{7/2}}-\frac{128 b^3 (a+b x)^{7/2} (10 A b-17 a B)}{109395 a^5 x^{9/2}}+\frac{32 b^2 (a+b x)^{7/2} (10 A b-17 a B)}{12155 a^4 x^{11/2}}-\frac{16 b (a+b x)^{7/2} (10 A b-17 a B)}{3315 a^3 x^{13/2}}+\frac{2 (a+b x)^{7/2} (10 A b-17 a B)}{255 a^2 x^{15/2}}-\frac{2 A (a+b x)^{7/2}}{17 a x^{17/2}}",1,"(-2*A*(a + b*x)^(7/2))/(17*a*x^(17/2)) + (2*(10*A*b - 17*a*B)*(a + b*x)^(7/2))/(255*a^2*x^(15/2)) - (16*b*(10*A*b - 17*a*B)*(a + b*x)^(7/2))/(3315*a^3*x^(13/2)) + (32*b^2*(10*A*b - 17*a*B)*(a + b*x)^(7/2))/(12155*a^4*x^(11/2)) - (128*b^3*(10*A*b - 17*a*B)*(a + b*x)^(7/2))/(109395*a^5*x^(9/2)) + (256*b^4*(10*A*b - 17*a*B)*(a + b*x)^(7/2))/(765765*a^6*x^(7/2))","A",6,3,20,0.1500,1,"{78, 45, 37}"
514,1,192,0,0.088574,"\int \frac{x^{7/2} (A+B x)}{\sqrt{a+b x}} \, dx","Int[(x^(7/2)*(A + B*x))/Sqrt[a + b*x],x]","\frac{7 a^2 x^{3/2} \sqrt{a+b x} (10 A b-9 a B)}{192 b^4}-\frac{7 a^3 \sqrt{x} \sqrt{a+b x} (10 A b-9 a B)}{128 b^5}+\frac{7 a^4 (10 A b-9 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{128 b^{11/2}}+\frac{x^{7/2} \sqrt{a+b x} (10 A b-9 a B)}{40 b^2}-\frac{7 a x^{5/2} \sqrt{a+b x} (10 A b-9 a B)}{240 b^3}+\frac{B x^{9/2} \sqrt{a+b x}}{5 b}","\frac{7 a^2 x^{3/2} \sqrt{a+b x} (10 A b-9 a B)}{192 b^4}-\frac{7 a^3 \sqrt{x} \sqrt{a+b x} (10 A b-9 a B)}{128 b^5}+\frac{7 a^4 (10 A b-9 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{128 b^{11/2}}+\frac{x^{7/2} \sqrt{a+b x} (10 A b-9 a B)}{40 b^2}-\frac{7 a x^{5/2} \sqrt{a+b x} (10 A b-9 a B)}{240 b^3}+\frac{B x^{9/2} \sqrt{a+b x}}{5 b}",1,"(-7*a^3*(10*A*b - 9*a*B)*Sqrt[x]*Sqrt[a + b*x])/(128*b^5) + (7*a^2*(10*A*b - 9*a*B)*x^(3/2)*Sqrt[a + b*x])/(192*b^4) - (7*a*(10*A*b - 9*a*B)*x^(5/2)*Sqrt[a + b*x])/(240*b^3) + ((10*A*b - 9*a*B)*x^(7/2)*Sqrt[a + b*x])/(40*b^2) + (B*x^(9/2)*Sqrt[a + b*x])/(5*b) + (7*a^4*(10*A*b - 9*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(128*b^(11/2))","A",8,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
515,1,159,0,0.0677438,"\int \frac{x^{5/2} (A+B x)}{\sqrt{a+b x}} \, dx","Int[(x^(5/2)*(A + B*x))/Sqrt[a + b*x],x]","\frac{5 a^2 \sqrt{x} \sqrt{a+b x} (8 A b-7 a B)}{64 b^4}-\frac{5 a^3 (8 A b-7 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{64 b^{9/2}}+\frac{x^{5/2} \sqrt{a+b x} (8 A b-7 a B)}{24 b^2}-\frac{5 a x^{3/2} \sqrt{a+b x} (8 A b-7 a B)}{96 b^3}+\frac{B x^{7/2} \sqrt{a+b x}}{4 b}","\frac{5 a^2 \sqrt{x} \sqrt{a+b x} (8 A b-7 a B)}{64 b^4}-\frac{5 a^3 (8 A b-7 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{64 b^{9/2}}+\frac{x^{5/2} \sqrt{a+b x} (8 A b-7 a B)}{24 b^2}-\frac{5 a x^{3/2} \sqrt{a+b x} (8 A b-7 a B)}{96 b^3}+\frac{B x^{7/2} \sqrt{a+b x}}{4 b}",1,"(5*a^2*(8*A*b - 7*a*B)*Sqrt[x]*Sqrt[a + b*x])/(64*b^4) - (5*a*(8*A*b - 7*a*B)*x^(3/2)*Sqrt[a + b*x])/(96*b^3) + ((8*A*b - 7*a*B)*x^(5/2)*Sqrt[a + b*x])/(24*b^2) + (B*x^(7/2)*Sqrt[a + b*x])/(4*b) - (5*a^3*(8*A*b - 7*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(64*b^(9/2))","A",7,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
516,1,126,0,0.0494739,"\int \frac{x^{3/2} (A+B x)}{\sqrt{a+b x}} \, dx","Int[(x^(3/2)*(A + B*x))/Sqrt[a + b*x],x]","\frac{a^2 (6 A b-5 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{8 b^{7/2}}+\frac{x^{3/2} \sqrt{a+b x} (6 A b-5 a B)}{12 b^2}-\frac{a \sqrt{x} \sqrt{a+b x} (6 A b-5 a B)}{8 b^3}+\frac{B x^{5/2} \sqrt{a+b x}}{3 b}","\frac{a^2 (6 A b-5 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{8 b^{7/2}}+\frac{x^{3/2} \sqrt{a+b x} (6 A b-5 a B)}{12 b^2}-\frac{a \sqrt{x} \sqrt{a+b x} (6 A b-5 a B)}{8 b^3}+\frac{B x^{5/2} \sqrt{a+b x}}{3 b}",1,"-(a*(6*A*b - 5*a*B)*Sqrt[x]*Sqrt[a + b*x])/(8*b^3) + ((6*A*b - 5*a*B)*x^(3/2)*Sqrt[a + b*x])/(12*b^2) + (B*x^(5/2)*Sqrt[a + b*x])/(3*b) + (a^2*(6*A*b - 5*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(8*b^(7/2))","A",6,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
517,1,93,0,0.0388393,"\int \frac{\sqrt{x} (A+B x)}{\sqrt{a+b x}} \, dx","Int[(Sqrt[x]*(A + B*x))/Sqrt[a + b*x],x]","\frac{\sqrt{x} \sqrt{a+b x} (4 A b-3 a B)}{4 b^2}-\frac{a (4 A b-3 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{4 b^{5/2}}+\frac{B x^{3/2} \sqrt{a+b x}}{2 b}","\frac{\sqrt{x} \sqrt{a+b x} (4 A b-3 a B)}{4 b^2}-\frac{a (4 A b-3 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{4 b^{5/2}}+\frac{B x^{3/2} \sqrt{a+b x}}{2 b}",1,"((4*A*b - 3*a*B)*Sqrt[x]*Sqrt[a + b*x])/(4*b^2) + (B*x^(3/2)*Sqrt[a + b*x])/(2*b) - (a*(4*A*b - 3*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(4*b^(5/2))","A",5,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
518,1,56,0,0.0245248,"\int \frac{A+B x}{\sqrt{x} \sqrt{a+b x}} \, dx","Int[(A + B*x)/(Sqrt[x]*Sqrt[a + b*x]),x]","\frac{(2 A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{b^{3/2}}+\frac{B \sqrt{x} \sqrt{a+b x}}{b}","\frac{(2 A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{b^{3/2}}+\frac{B \sqrt{x} \sqrt{a+b x}}{b}",1,"(B*Sqrt[x]*Sqrt[a + b*x])/b + ((2*A*b - a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/b^(3/2)","A",4,4,20,0.2000,1,"{80, 63, 217, 206}"
519,1,50,0,0.0186293,"\int \frac{A+B x}{x^{3/2} \sqrt{a+b x}} \, dx","Int[(A + B*x)/(x^(3/2)*Sqrt[a + b*x]),x]","\frac{2 B \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{\sqrt{b}}-\frac{2 A \sqrt{a+b x}}{a \sqrt{x}}","\frac{2 B \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{\sqrt{b}}-\frac{2 A \sqrt{a+b x}}{a \sqrt{x}}",1,"(-2*A*Sqrt[a + b*x])/(a*Sqrt[x]) + (2*B*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/Sqrt[b]","A",4,4,20,0.2000,1,"{78, 63, 217, 206}"
520,1,53,0,0.0140899,"\int \frac{A+B x}{x^{5/2} \sqrt{a+b x}} \, dx","Int[(A + B*x)/(x^(5/2)*Sqrt[a + b*x]),x]","\frac{2 \sqrt{a+b x} (2 A b-3 a B)}{3 a^2 \sqrt{x}}-\frac{2 A \sqrt{a+b x}}{3 a x^{3/2}}","\frac{2 \sqrt{a+b x} (2 A b-3 a B)}{3 a^2 \sqrt{x}}-\frac{2 A \sqrt{a+b x}}{3 a x^{3/2}}",1,"(-2*A*Sqrt[a + b*x])/(3*a*x^(3/2)) + (2*(2*A*b - 3*a*B)*Sqrt[a + b*x])/(3*a^2*Sqrt[x])","A",2,2,20,0.1000,1,"{78, 37}"
521,1,84,0,0.0269197,"\int \frac{A+B x}{x^{7/2} \sqrt{a+b x}} \, dx","Int[(A + B*x)/(x^(7/2)*Sqrt[a + b*x]),x]","\frac{2 \sqrt{a+b x} (4 A b-5 a B)}{15 a^2 x^{3/2}}-\frac{4 b \sqrt{a+b x} (4 A b-5 a B)}{15 a^3 \sqrt{x}}-\frac{2 A \sqrt{a+b x}}{5 a x^{5/2}}","\frac{2 \sqrt{a+b x} (4 A b-5 a B)}{15 a^2 x^{3/2}}-\frac{4 b \sqrt{a+b x} (4 A b-5 a B)}{15 a^3 \sqrt{x}}-\frac{2 A \sqrt{a+b x}}{5 a x^{5/2}}",1,"(-2*A*Sqrt[a + b*x])/(5*a*x^(5/2)) + (2*(4*A*b - 5*a*B)*Sqrt[a + b*x])/(15*a^2*x^(3/2)) - (4*b*(4*A*b - 5*a*B)*Sqrt[a + b*x])/(15*a^3*Sqrt[x])","A",3,3,20,0.1500,1,"{78, 45, 37}"
522,1,117,0,0.039461,"\int \frac{A+B x}{x^{9/2} \sqrt{a+b x}} \, dx","Int[(A + B*x)/(x^(9/2)*Sqrt[a + b*x]),x]","\frac{16 b^2 \sqrt{a+b x} (6 A b-7 a B)}{105 a^4 \sqrt{x}}-\frac{8 b \sqrt{a+b x} (6 A b-7 a B)}{105 a^3 x^{3/2}}+\frac{2 \sqrt{a+b x} (6 A b-7 a B)}{35 a^2 x^{5/2}}-\frac{2 A \sqrt{a+b x}}{7 a x^{7/2}}","\frac{16 b^2 \sqrt{a+b x} (6 A b-7 a B)}{105 a^4 \sqrt{x}}-\frac{8 b \sqrt{a+b x} (6 A b-7 a B)}{105 a^3 x^{3/2}}+\frac{2 \sqrt{a+b x} (6 A b-7 a B)}{35 a^2 x^{5/2}}-\frac{2 A \sqrt{a+b x}}{7 a x^{7/2}}",1,"(-2*A*Sqrt[a + b*x])/(7*a*x^(7/2)) + (2*(6*A*b - 7*a*B)*Sqrt[a + b*x])/(35*a^2*x^(5/2)) - (8*b*(6*A*b - 7*a*B)*Sqrt[a + b*x])/(105*a^3*x^(3/2)) + (16*b^2*(6*A*b - 7*a*B)*Sqrt[a + b*x])/(105*a^4*Sqrt[x])","A",4,3,20,0.1500,1,"{78, 45, 37}"
523,1,150,0,0.0573826,"\int \frac{A+B x}{x^{11/2} \sqrt{a+b x}} \, dx","Int[(A + B*x)/(x^(11/2)*Sqrt[a + b*x]),x]","\frac{16 b^2 \sqrt{a+b x} (8 A b-9 a B)}{315 a^4 x^{3/2}}-\frac{32 b^3 \sqrt{a+b x} (8 A b-9 a B)}{315 a^5 \sqrt{x}}-\frac{4 b \sqrt{a+b x} (8 A b-9 a B)}{105 a^3 x^{5/2}}+\frac{2 \sqrt{a+b x} (8 A b-9 a B)}{63 a^2 x^{7/2}}-\frac{2 A \sqrt{a+b x}}{9 a x^{9/2}}","\frac{16 b^2 \sqrt{a+b x} (8 A b-9 a B)}{315 a^4 x^{3/2}}-\frac{32 b^3 \sqrt{a+b x} (8 A b-9 a B)}{315 a^5 \sqrt{x}}-\frac{4 b \sqrt{a+b x} (8 A b-9 a B)}{105 a^3 x^{5/2}}+\frac{2 \sqrt{a+b x} (8 A b-9 a B)}{63 a^2 x^{7/2}}-\frac{2 A \sqrt{a+b x}}{9 a x^{9/2}}",1,"(-2*A*Sqrt[a + b*x])/(9*a*x^(9/2)) + (2*(8*A*b - 9*a*B)*Sqrt[a + b*x])/(63*a^2*x^(7/2)) - (4*b*(8*A*b - 9*a*B)*Sqrt[a + b*x])/(105*a^3*x^(5/2)) + (16*b^2*(8*A*b - 9*a*B)*Sqrt[a + b*x])/(315*a^4*x^(3/2)) - (32*b^3*(8*A*b - 9*a*B)*Sqrt[a + b*x])/(315*a^5*Sqrt[x])","A",5,3,20,0.1500,1,"{78, 45, 37}"
524,1,183,0,0.0711368,"\int \frac{A+B x}{x^{13/2} \sqrt{a+b x}} \, dx","Int[(A + B*x)/(x^(13/2)*Sqrt[a + b*x]),x]","-\frac{128 b^3 \sqrt{a+b x} (10 A b-11 a B)}{3465 a^5 x^{3/2}}+\frac{32 b^2 \sqrt{a+b x} (10 A b-11 a B)}{1155 a^4 x^{5/2}}+\frac{256 b^4 \sqrt{a+b x} (10 A b-11 a B)}{3465 a^6 \sqrt{x}}-\frac{16 b \sqrt{a+b x} (10 A b-11 a B)}{693 a^3 x^{7/2}}+\frac{2 \sqrt{a+b x} (10 A b-11 a B)}{99 a^2 x^{9/2}}-\frac{2 A \sqrt{a+b x}}{11 a x^{11/2}}","-\frac{128 b^3 \sqrt{a+b x} (10 A b-11 a B)}{3465 a^5 x^{3/2}}+\frac{32 b^2 \sqrt{a+b x} (10 A b-11 a B)}{1155 a^4 x^{5/2}}+\frac{256 b^4 \sqrt{a+b x} (10 A b-11 a B)}{3465 a^6 \sqrt{x}}-\frac{16 b \sqrt{a+b x} (10 A b-11 a B)}{693 a^3 x^{7/2}}+\frac{2 \sqrt{a+b x} (10 A b-11 a B)}{99 a^2 x^{9/2}}-\frac{2 A \sqrt{a+b x}}{11 a x^{11/2}}",1,"(-2*A*Sqrt[a + b*x])/(11*a*x^(11/2)) + (2*(10*A*b - 11*a*B)*Sqrt[a + b*x])/(99*a^2*x^(9/2)) - (16*b*(10*A*b - 11*a*B)*Sqrt[a + b*x])/(693*a^3*x^(7/2)) + (32*b^2*(10*A*b - 11*a*B)*Sqrt[a + b*x])/(1155*a^4*x^(5/2)) - (128*b^3*(10*A*b - 11*a*B)*Sqrt[a + b*x])/(3465*a^5*x^(3/2)) + (256*b^4*(10*A*b - 11*a*B)*Sqrt[a + b*x])/(3465*a^6*Sqrt[x])","A",6,3,20,0.1500,1,"{78, 45, 37}"
525,1,216,0,0.090962,"\int \frac{A+B x}{x^{15/2} \sqrt{a+b x}} \, dx","Int[(A + B*x)/(x^(15/2)*Sqrt[a + b*x]),x]","\frac{256 b^4 \sqrt{a+b x} (12 A b-13 a B)}{9009 a^6 x^{3/2}}-\frac{64 b^3 \sqrt{a+b x} (12 A b-13 a B)}{3003 a^5 x^{5/2}}+\frac{160 b^2 \sqrt{a+b x} (12 A b-13 a B)}{9009 a^4 x^{7/2}}-\frac{512 b^5 \sqrt{a+b x} (12 A b-13 a B)}{9009 a^7 \sqrt{x}}-\frac{20 b \sqrt{a+b x} (12 A b-13 a B)}{1287 a^3 x^{9/2}}+\frac{2 \sqrt{a+b x} (12 A b-13 a B)}{143 a^2 x^{11/2}}-\frac{2 A \sqrt{a+b x}}{13 a x^{13/2}}","\frac{256 b^4 \sqrt{a+b x} (12 A b-13 a B)}{9009 a^6 x^{3/2}}-\frac{64 b^3 \sqrt{a+b x} (12 A b-13 a B)}{3003 a^5 x^{5/2}}+\frac{160 b^2 \sqrt{a+b x} (12 A b-13 a B)}{9009 a^4 x^{7/2}}-\frac{512 b^5 \sqrt{a+b x} (12 A b-13 a B)}{9009 a^7 \sqrt{x}}-\frac{20 b \sqrt{a+b x} (12 A b-13 a B)}{1287 a^3 x^{9/2}}+\frac{2 \sqrt{a+b x} (12 A b-13 a B)}{143 a^2 x^{11/2}}-\frac{2 A \sqrt{a+b x}}{13 a x^{13/2}}",1,"(-2*A*Sqrt[a + b*x])/(13*a*x^(13/2)) + (2*(12*A*b - 13*a*B)*Sqrt[a + b*x])/(143*a^2*x^(11/2)) - (20*b*(12*A*b - 13*a*B)*Sqrt[a + b*x])/(1287*a^3*x^(9/2)) + (160*b^2*(12*A*b - 13*a*B)*Sqrt[a + b*x])/(9009*a^4*x^(7/2)) - (64*b^3*(12*A*b - 13*a*B)*Sqrt[a + b*x])/(3003*a^5*x^(5/2)) + (256*b^4*(12*A*b - 13*a*B)*Sqrt[a + b*x])/(9009*a^6*x^(3/2)) - (512*b^5*(12*A*b - 13*a*B)*Sqrt[a + b*x])/(9009*a^7*Sqrt[x])","A",7,3,20,0.1500,1,"{78, 45, 37}"
526,1,200,0,0.0883846,"\int \frac{x^{7/2} (A+B x)}{(a+b x)^{3/2}} \, dx","Int[(x^(7/2)*(A + B*x))/(a + b*x)^(3/2),x]","\frac{35 a^2 \sqrt{x} \sqrt{a+b x} (8 A b-9 a B)}{64 b^5}-\frac{35 a^3 (8 A b-9 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{64 b^{11/2}}-\frac{x^{7/2} \sqrt{a+b x} (8 A b-9 a B)}{4 a b^2}+\frac{7 x^{5/2} \sqrt{a+b x} (8 A b-9 a B)}{24 b^3}-\frac{35 a x^{3/2} \sqrt{a+b x} (8 A b-9 a B)}{96 b^4}+\frac{2 x^{9/2} (A b-a B)}{a b \sqrt{a+b x}}","\frac{35 a^2 \sqrt{x} \sqrt{a+b x} (8 A b-9 a B)}{64 b^5}-\frac{35 a^3 (8 A b-9 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{64 b^{11/2}}-\frac{x^{7/2} \sqrt{a+b x} (8 A b-9 a B)}{4 a b^2}+\frac{7 x^{5/2} \sqrt{a+b x} (8 A b-9 a B)}{24 b^3}-\frac{35 a x^{3/2} \sqrt{a+b x} (8 A b-9 a B)}{96 b^4}+\frac{2 x^{9/2} (A b-a B)}{a b \sqrt{a+b x}}",1,"(2*(A*b - a*B)*x^(9/2))/(a*b*Sqrt[a + b*x]) + (35*a^2*(8*A*b - 9*a*B)*Sqrt[x]*Sqrt[a + b*x])/(64*b^5) - (35*a*(8*A*b - 9*a*B)*x^(3/2)*Sqrt[a + b*x])/(96*b^4) + (7*(8*A*b - 9*a*B)*x^(5/2)*Sqrt[a + b*x])/(24*b^3) - ((8*A*b - 9*a*B)*x^(7/2)*Sqrt[a + b*x])/(4*a*b^2) - (35*a^3*(8*A*b - 9*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(64*b^(11/2))","A",8,5,20,0.2500,1,"{78, 50, 63, 217, 206}"
527,1,167,0,0.0690089,"\int \frac{x^{5/2} (A+B x)}{(a+b x)^{3/2}} \, dx","Int[(x^(5/2)*(A + B*x))/(a + b*x)^(3/2),x]","\frac{5 a^2 (6 A b-7 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{8 b^{9/2}}-\frac{x^{5/2} \sqrt{a+b x} (6 A b-7 a B)}{3 a b^2}+\frac{5 x^{3/2} \sqrt{a+b x} (6 A b-7 a B)}{12 b^3}-\frac{5 a \sqrt{x} \sqrt{a+b x} (6 A b-7 a B)}{8 b^4}+\frac{2 x^{7/2} (A b-a B)}{a b \sqrt{a+b x}}","\frac{5 a^2 (6 A b-7 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{8 b^{9/2}}-\frac{x^{5/2} \sqrt{a+b x} (6 A b-7 a B)}{3 a b^2}+\frac{5 x^{3/2} \sqrt{a+b x} (6 A b-7 a B)}{12 b^3}-\frac{5 a \sqrt{x} \sqrt{a+b x} (6 A b-7 a B)}{8 b^4}+\frac{2 x^{7/2} (A b-a B)}{a b \sqrt{a+b x}}",1,"(2*(A*b - a*B)*x^(7/2))/(a*b*Sqrt[a + b*x]) - (5*a*(6*A*b - 7*a*B)*Sqrt[x]*Sqrt[a + b*x])/(8*b^4) + (5*(6*A*b - 7*a*B)*x^(3/2)*Sqrt[a + b*x])/(12*b^3) - ((6*A*b - 7*a*B)*x^(5/2)*Sqrt[a + b*x])/(3*a*b^2) + (5*a^2*(6*A*b - 7*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(8*b^(9/2))","A",7,5,20,0.2500,1,"{78, 50, 63, 217, 206}"
528,1,134,0,0.0519871,"\int \frac{x^{3/2} (A+B x)}{(a+b x)^{3/2}} \, dx","Int[(x^(3/2)*(A + B*x))/(a + b*x)^(3/2),x]","-\frac{x^{3/2} \sqrt{a+b x} (4 A b-5 a B)}{2 a b^2}+\frac{3 \sqrt{x} \sqrt{a+b x} (4 A b-5 a B)}{4 b^3}-\frac{3 a (4 A b-5 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{4 b^{7/2}}+\frac{2 x^{5/2} (A b-a B)}{a b \sqrt{a+b x}}","-\frac{x^{3/2} \sqrt{a+b x} (4 A b-5 a B)}{2 a b^2}+\frac{3 \sqrt{x} \sqrt{a+b x} (4 A b-5 a B)}{4 b^3}-\frac{3 a (4 A b-5 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{4 b^{7/2}}+\frac{2 x^{5/2} (A b-a B)}{a b \sqrt{a+b x}}",1,"(2*(A*b - a*B)*x^(5/2))/(a*b*Sqrt[a + b*x]) + (3*(4*A*b - 5*a*B)*Sqrt[x]*Sqrt[a + b*x])/(4*b^3) - ((4*A*b - 5*a*B)*x^(3/2)*Sqrt[a + b*x])/(2*a*b^2) - (3*a*(4*A*b - 5*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(4*b^(7/2))","A",6,5,20,0.2500,1,"{78, 50, 63, 217, 206}"
529,1,98,0,0.0391032,"\int \frac{\sqrt{x} (A+B x)}{(a+b x)^{3/2}} \, dx","Int[(Sqrt[x]*(A + B*x))/(a + b*x)^(3/2),x]","-\frac{\sqrt{x} \sqrt{a+b x} (2 A b-3 a B)}{a b^2}+\frac{(2 A b-3 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{b^{5/2}}+\frac{2 x^{3/2} (A b-a B)}{a b \sqrt{a+b x}}","-\frac{\sqrt{x} \sqrt{a+b x} (2 A b-3 a B)}{a b^2}+\frac{(2 A b-3 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{b^{5/2}}+\frac{2 x^{3/2} (A b-a B)}{a b \sqrt{a+b x}}",1,"(2*(A*b - a*B)*x^(3/2))/(a*b*Sqrt[a + b*x]) - ((2*A*b - 3*a*B)*Sqrt[x]*Sqrt[a + b*x])/(a*b^2) + ((2*A*b - 3*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/b^(5/2)","A",5,5,20,0.2500,1,"{78, 50, 63, 217, 206}"
530,1,60,0,0.0204526,"\int \frac{A+B x}{\sqrt{x} (a+b x)^{3/2}} \, dx","Int[(A + B*x)/(Sqrt[x]*(a + b*x)^(3/2)),x]","\frac{2 \sqrt{x} (A b-a B)}{a b \sqrt{a+b x}}+\frac{2 B \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{b^{3/2}}","\frac{2 \sqrt{x} (A b-a B)}{a b \sqrt{a+b x}}+\frac{2 B \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{b^{3/2}}",1,"(2*(A*b - a*B)*Sqrt[x])/(a*b*Sqrt[a + b*x]) + (2*B*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/b^(3/2)","A",4,4,20,0.2000,1,"{78, 63, 217, 206}"
531,1,49,0,0.0141708,"\int \frac{A+B x}{x^{3/2} (a+b x)^{3/2}} \, dx","Int[(A + B*x)/(x^(3/2)*(a + b*x)^(3/2)),x]","-\frac{2 \sqrt{x} (2 A b-a B)}{a^2 \sqrt{a+b x}}-\frac{2 A}{a \sqrt{x} \sqrt{a+b x}}","-\frac{2 \sqrt{x} (2 A b-a B)}{a^2 \sqrt{a+b x}}-\frac{2 A}{a \sqrt{x} \sqrt{a+b x}}",1,"(-2*A)/(a*Sqrt[x]*Sqrt[a + b*x]) - (2*(2*A*b - a*B)*Sqrt[x])/(a^2*Sqrt[a + b*x])","A",2,2,20,0.1000,1,"{78, 37}"
532,1,83,0,0.0257422,"\int \frac{A+B x}{x^{5/2} (a+b x)^{3/2}} \, dx","Int[(A + B*x)/(x^(5/2)*(a + b*x)^(3/2)),x]","\frac{4 \sqrt{a+b x} (4 A b-3 a B)}{3 a^3 \sqrt{x}}-\frac{2 (4 A b-3 a B)}{3 a^2 \sqrt{x} \sqrt{a+b x}}-\frac{2 A}{3 a x^{3/2} \sqrt{a+b x}}","\frac{4 \sqrt{a+b x} (4 A b-3 a B)}{3 a^3 \sqrt{x}}-\frac{2 (4 A b-3 a B)}{3 a^2 \sqrt{x} \sqrt{a+b x}}-\frac{2 A}{3 a x^{3/2} \sqrt{a+b x}}",1,"(-2*A)/(3*a*x^(3/2)*Sqrt[a + b*x]) - (2*(4*A*b - 3*a*B))/(3*a^2*Sqrt[x]*Sqrt[a + b*x]) + (4*(4*A*b - 3*a*B)*Sqrt[a + b*x])/(3*a^3*Sqrt[x])","A",3,3,20,0.1500,1,"{78, 45, 37}"
533,1,114,0,0.0369315,"\int \frac{A+B x}{x^{7/2} (a+b x)^{3/2}} \, dx","Int[(A + B*x)/(x^(7/2)*(a + b*x)^(3/2)),x]","\frac{8 \sqrt{a+b x} (6 A b-5 a B)}{15 a^3 x^{3/2}}-\frac{2 (6 A b-5 a B)}{5 a^2 x^{3/2} \sqrt{a+b x}}-\frac{16 b \sqrt{a+b x} (6 A b-5 a B)}{15 a^4 \sqrt{x}}-\frac{2 A}{5 a x^{5/2} \sqrt{a+b x}}","\frac{8 \sqrt{a+b x} (6 A b-5 a B)}{15 a^3 x^{3/2}}-\frac{2 (6 A b-5 a B)}{5 a^2 x^{3/2} \sqrt{a+b x}}-\frac{16 b \sqrt{a+b x} (6 A b-5 a B)}{15 a^4 \sqrt{x}}-\frac{2 A}{5 a x^{5/2} \sqrt{a+b x}}",1,"(-2*A)/(5*a*x^(5/2)*Sqrt[a + b*x]) - (2*(6*A*b - 5*a*B))/(5*a^2*x^(3/2)*Sqrt[a + b*x]) + (8*(6*A*b - 5*a*B)*Sqrt[a + b*x])/(15*a^3*x^(3/2)) - (16*b*(6*A*b - 5*a*B)*Sqrt[a + b*x])/(15*a^4*Sqrt[x])","A",4,3,20,0.1500,1,"{78, 45, 37}"
534,1,147,0,0.0535221,"\int \frac{A+B x}{x^{9/2} (a+b x)^{3/2}} \, dx","Int[(A + B*x)/(x^(9/2)*(a + b*x)^(3/2)),x]","\frac{32 b^2 \sqrt{a+b x} (8 A b-7 a B)}{35 a^5 \sqrt{x}}-\frac{16 b \sqrt{a+b x} (8 A b-7 a B)}{35 a^4 x^{3/2}}+\frac{12 \sqrt{a+b x} (8 A b-7 a B)}{35 a^3 x^{5/2}}-\frac{2 (8 A b-7 a B)}{7 a^2 x^{5/2} \sqrt{a+b x}}-\frac{2 A}{7 a x^{7/2} \sqrt{a+b x}}","\frac{32 b^2 \sqrt{a+b x} (8 A b-7 a B)}{35 a^5 \sqrt{x}}-\frac{16 b \sqrt{a+b x} (8 A b-7 a B)}{35 a^4 x^{3/2}}+\frac{12 \sqrt{a+b x} (8 A b-7 a B)}{35 a^3 x^{5/2}}-\frac{2 (8 A b-7 a B)}{7 a^2 x^{5/2} \sqrt{a+b x}}-\frac{2 A}{7 a x^{7/2} \sqrt{a+b x}}",1,"(-2*A)/(7*a*x^(7/2)*Sqrt[a + b*x]) - (2*(8*A*b - 7*a*B))/(7*a^2*x^(5/2)*Sqrt[a + b*x]) + (12*(8*A*b - 7*a*B)*Sqrt[a + b*x])/(35*a^3*x^(5/2)) - (16*b*(8*A*b - 7*a*B)*Sqrt[a + b*x])/(35*a^4*x^(3/2)) + (32*b^2*(8*A*b - 7*a*B)*Sqrt[a + b*x])/(35*a^5*Sqrt[x])","A",5,3,20,0.1500,1,"{78, 45, 37}"
535,1,180,0,0.0706605,"\int \frac{A+B x}{x^{11/2} (a+b x)^{3/2}} \, dx","Int[(A + B*x)/(x^(11/2)*(a + b*x)^(3/2)),x]","\frac{128 b^2 \sqrt{a+b x} (10 A b-9 a B)}{315 a^5 x^{3/2}}-\frac{256 b^3 \sqrt{a+b x} (10 A b-9 a B)}{315 a^6 \sqrt{x}}-\frac{32 b \sqrt{a+b x} (10 A b-9 a B)}{105 a^4 x^{5/2}}+\frac{16 \sqrt{a+b x} (10 A b-9 a B)}{63 a^3 x^{7/2}}-\frac{2 (10 A b-9 a B)}{9 a^2 x^{7/2} \sqrt{a+b x}}-\frac{2 A}{9 a x^{9/2} \sqrt{a+b x}}","\frac{128 b^2 \sqrt{a+b x} (10 A b-9 a B)}{315 a^5 x^{3/2}}-\frac{256 b^3 \sqrt{a+b x} (10 A b-9 a B)}{315 a^6 \sqrt{x}}-\frac{32 b \sqrt{a+b x} (10 A b-9 a B)}{105 a^4 x^{5/2}}+\frac{16 \sqrt{a+b x} (10 A b-9 a B)}{63 a^3 x^{7/2}}-\frac{2 (10 A b-9 a B)}{9 a^2 x^{7/2} \sqrt{a+b x}}-\frac{2 A}{9 a x^{9/2} \sqrt{a+b x}}",1,"(-2*A)/(9*a*x^(9/2)*Sqrt[a + b*x]) - (2*(10*A*b - 9*a*B))/(9*a^2*x^(7/2)*Sqrt[a + b*x]) + (16*(10*A*b - 9*a*B)*Sqrt[a + b*x])/(63*a^3*x^(7/2)) - (32*b*(10*A*b - 9*a*B)*Sqrt[a + b*x])/(105*a^4*x^(5/2)) + (128*b^2*(10*A*b - 9*a*B)*Sqrt[a + b*x])/(315*a^5*x^(3/2)) - (256*b^3*(10*A*b - 9*a*B)*Sqrt[a + b*x])/(315*a^6*Sqrt[x])","A",6,3,20,0.1500,1,"{78, 45, 37}"
536,1,213,0,0.0893804,"\int \frac{A+B x}{x^{13/2} (a+b x)^{3/2}} \, dx","Int[(A + B*x)/(x^(13/2)*(a + b*x)^(3/2)),x]","-\frac{256 b^3 \sqrt{a+b x} (12 A b-11 a B)}{693 a^6 x^{3/2}}+\frac{64 b^2 \sqrt{a+b x} (12 A b-11 a B)}{231 a^5 x^{5/2}}+\frac{512 b^4 \sqrt{a+b x} (12 A b-11 a B)}{693 a^7 \sqrt{x}}-\frac{160 b \sqrt{a+b x} (12 A b-11 a B)}{693 a^4 x^{7/2}}+\frac{20 \sqrt{a+b x} (12 A b-11 a B)}{99 a^3 x^{9/2}}-\frac{2 (12 A b-11 a B)}{11 a^2 x^{9/2} \sqrt{a+b x}}-\frac{2 A}{11 a x^{11/2} \sqrt{a+b x}}","-\frac{256 b^3 \sqrt{a+b x} (12 A b-11 a B)}{693 a^6 x^{3/2}}+\frac{64 b^2 \sqrt{a+b x} (12 A b-11 a B)}{231 a^5 x^{5/2}}+\frac{512 b^4 \sqrt{a+b x} (12 A b-11 a B)}{693 a^7 \sqrt{x}}-\frac{160 b \sqrt{a+b x} (12 A b-11 a B)}{693 a^4 x^{7/2}}+\frac{20 \sqrt{a+b x} (12 A b-11 a B)}{99 a^3 x^{9/2}}-\frac{2 (12 A b-11 a B)}{11 a^2 x^{9/2} \sqrt{a+b x}}-\frac{2 A}{11 a x^{11/2} \sqrt{a+b x}}",1,"(-2*A)/(11*a*x^(11/2)*Sqrt[a + b*x]) - (2*(12*A*b - 11*a*B))/(11*a^2*x^(9/2)*Sqrt[a + b*x]) + (20*(12*A*b - 11*a*B)*Sqrt[a + b*x])/(99*a^3*x^(9/2)) - (160*b*(12*A*b - 11*a*B)*Sqrt[a + b*x])/(693*a^4*x^(7/2)) + (64*b^2*(12*A*b - 11*a*B)*Sqrt[a + b*x])/(231*a^5*x^(5/2)) - (256*b^3*(12*A*b - 11*a*B)*Sqrt[a + b*x])/(693*a^6*x^(3/2)) + (512*b^4*(12*A*b - 11*a*B)*Sqrt[a + b*x])/(693*a^7*Sqrt[x])","A",7,3,20,0.1500,1,"{78, 45, 37}"
537,1,200,0,0.0838018,"\int \frac{x^{7/2} (A+B x)}{(a+b x)^{5/2}} \, dx","Int[(x^(7/2)*(A + B*x))/(a + b*x)^(5/2),x]","\frac{35 a^2 (2 A b-3 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{8 b^{11/2}}+\frac{2 x^{7/2} (2 A b-3 a B)}{a b^2 \sqrt{a+b x}}-\frac{7 x^{5/2} \sqrt{a+b x} (2 A b-3 a B)}{3 a b^3}+\frac{35 x^{3/2} \sqrt{a+b x} (2 A b-3 a B)}{12 b^4}-\frac{35 a \sqrt{x} \sqrt{a+b x} (2 A b-3 a B)}{8 b^5}+\frac{2 x^{9/2} (A b-a B)}{3 a b (a+b x)^{3/2}}","\frac{35 a^2 (2 A b-3 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{8 b^{11/2}}+\frac{2 x^{7/2} (2 A b-3 a B)}{a b^2 \sqrt{a+b x}}-\frac{7 x^{5/2} \sqrt{a+b x} (2 A b-3 a B)}{3 a b^3}+\frac{35 x^{3/2} \sqrt{a+b x} (2 A b-3 a B)}{12 b^4}-\frac{35 a \sqrt{x} \sqrt{a+b x} (2 A b-3 a B)}{8 b^5}+\frac{2 x^{9/2} (A b-a B)}{3 a b (a+b x)^{3/2}}",1,"(2*(A*b - a*B)*x^(9/2))/(3*a*b*(a + b*x)^(3/2)) + (2*(2*A*b - 3*a*B)*x^(7/2))/(a*b^2*Sqrt[a + b*x]) - (35*a*(2*A*b - 3*a*B)*Sqrt[x]*Sqrt[a + b*x])/(8*b^5) + (35*(2*A*b - 3*a*B)*x^(3/2)*Sqrt[a + b*x])/(12*b^4) - (7*(2*A*b - 3*a*B)*x^(5/2)*Sqrt[a + b*x])/(3*a*b^3) + (35*a^2*(2*A*b - 3*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(8*b^(11/2))","A",8,6,20,0.3000,1,"{78, 47, 50, 63, 217, 206}"
538,1,169,0,0.0693003,"\int \frac{x^{5/2} (A+B x)}{(a+b x)^{5/2}} \, dx","Int[(x^(5/2)*(A + B*x))/(a + b*x)^(5/2),x]","\frac{2 x^{5/2} (4 A b-7 a B)}{3 a b^2 \sqrt{a+b x}}-\frac{5 x^{3/2} \sqrt{a+b x} (4 A b-7 a B)}{6 a b^3}+\frac{5 \sqrt{x} \sqrt{a+b x} (4 A b-7 a B)}{4 b^4}-\frac{5 a (4 A b-7 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{4 b^{9/2}}+\frac{2 x^{7/2} (A b-a B)}{3 a b (a+b x)^{3/2}}","\frac{2 x^{5/2} (4 A b-7 a B)}{3 a b^2 \sqrt{a+b x}}-\frac{5 x^{3/2} \sqrt{a+b x} (4 A b-7 a B)}{6 a b^3}+\frac{5 \sqrt{x} \sqrt{a+b x} (4 A b-7 a B)}{4 b^4}-\frac{5 a (4 A b-7 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{4 b^{9/2}}+\frac{2 x^{7/2} (A b-a B)}{3 a b (a+b x)^{3/2}}",1,"(2*(A*b - a*B)*x^(7/2))/(3*a*b*(a + b*x)^(3/2)) + (2*(4*A*b - 7*a*B)*x^(5/2))/(3*a*b^2*Sqrt[a + b*x]) + (5*(4*A*b - 7*a*B)*Sqrt[x]*Sqrt[a + b*x])/(4*b^4) - (5*(4*A*b - 7*a*B)*x^(3/2)*Sqrt[a + b*x])/(6*a*b^3) - (5*a*(4*A*b - 7*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/(4*b^(9/2))","A",7,6,20,0.3000,1,"{78, 47, 50, 63, 217, 206}"
539,1,133,0,0.0521983,"\int \frac{x^{3/2} (A+B x)}{(a+b x)^{5/2}} \, dx","Int[(x^(3/2)*(A + B*x))/(a + b*x)^(5/2),x]","\frac{2 x^{3/2} (2 A b-5 a B)}{3 a b^2 \sqrt{a+b x}}-\frac{\sqrt{x} \sqrt{a+b x} (2 A b-5 a B)}{a b^3}+\frac{(2 A b-5 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{b^{7/2}}+\frac{2 x^{5/2} (A b-a B)}{3 a b (a+b x)^{3/2}}","\frac{2 x^{3/2} (2 A b-5 a B)}{3 a b^2 \sqrt{a+b x}}-\frac{\sqrt{x} \sqrt{a+b x} (2 A b-5 a B)}{a b^3}+\frac{(2 A b-5 a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{b^{7/2}}+\frac{2 x^{5/2} (A b-a B)}{3 a b (a+b x)^{3/2}}",1,"(2*(A*b - a*B)*x^(5/2))/(3*a*b*(a + b*x)^(3/2)) + (2*(2*A*b - 5*a*B)*x^(3/2))/(3*a*b^2*Sqrt[a + b*x]) - ((2*A*b - 5*a*B)*Sqrt[x]*Sqrt[a + b*x])/(a*b^3) + ((2*A*b - 5*a*B)*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/b^(7/2)","A",6,6,20,0.3000,1,"{78, 47, 50, 63, 217, 206}"
540,1,82,0,0.0261501,"\int \frac{\sqrt{x} (A+B x)}{(a+b x)^{5/2}} \, dx","Int[(Sqrt[x]*(A + B*x))/(a + b*x)^(5/2),x]","\frac{2 x^{3/2} (A b-a B)}{3 a b (a+b x)^{3/2}}-\frac{2 B \sqrt{x}}{b^2 \sqrt{a+b x}}+\frac{2 B \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{b^{5/2}}","\frac{2 x^{3/2} (A b-a B)}{3 a b (a+b x)^{3/2}}-\frac{2 B \sqrt{x}}{b^2 \sqrt{a+b x}}+\frac{2 B \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a+b x}}\right)}{b^{5/2}}",1,"(2*(A*b - a*B)*x^(3/2))/(3*a*b*(a + b*x)^(3/2)) - (2*B*Sqrt[x])/(b^2*Sqrt[a + b*x]) + (2*B*ArcTanh[(Sqrt[b]*Sqrt[x])/Sqrt[a + b*x]])/b^(5/2)","A",5,5,20,0.2500,1,"{78, 47, 63, 217, 206}"
541,1,65,0,0.0151402,"\int \frac{A+B x}{\sqrt{x} (a+b x)^{5/2}} \, dx","Int[(A + B*x)/(Sqrt[x]*(a + b*x)^(5/2)),x]","\frac{2 \sqrt{x} (a B+2 A b)}{3 a^2 b \sqrt{a+b x}}+\frac{2 \sqrt{x} (A b-a B)}{3 a b (a+b x)^{3/2}}","\frac{2 \sqrt{x} (a B+2 A b)}{3 a^2 b \sqrt{a+b x}}+\frac{2 \sqrt{x} (A b-a B)}{3 a b (a+b x)^{3/2}}",1,"(2*(A*b - a*B)*Sqrt[x])/(3*a*b*(a + b*x)^(3/2)) + (2*(2*A*b + a*B)*Sqrt[x])/(3*a^2*b*Sqrt[a + b*x])","A",2,2,20,0.1000,1,"{78, 37}"
542,1,81,0,0.025061,"\int \frac{A+B x}{x^{3/2} (a+b x)^{5/2}} \, dx","Int[(A + B*x)/(x^(3/2)*(a + b*x)^(5/2)),x]","-\frac{4 \sqrt{x} (4 A b-a B)}{3 a^3 \sqrt{a+b x}}-\frac{2 \sqrt{x} (4 A b-a B)}{3 a^2 (a+b x)^{3/2}}-\frac{2 A}{a \sqrt{x} (a+b x)^{3/2}}","-\frac{4 \sqrt{x} (4 A b-a B)}{3 a^3 \sqrt{a+b x}}-\frac{2 \sqrt{x} (4 A b-a B)}{3 a^2 (a+b x)^{3/2}}-\frac{2 A}{a \sqrt{x} (a+b x)^{3/2}}",1,"(-2*A)/(a*Sqrt[x]*(a + b*x)^(3/2)) - (2*(4*A*b - a*B)*Sqrt[x])/(3*a^2*(a + b*x)^(3/2)) - (4*(4*A*b - a*B)*Sqrt[x])/(3*a^3*Sqrt[a + b*x])","A",3,3,20,0.1500,1,"{78, 45, 37}"
543,1,113,0,0.0360582,"\int \frac{A+B x}{x^{5/2} (a+b x)^{5/2}} \, dx","Int[(A + B*x)/(x^(5/2)*(a + b*x)^(5/2)),x]","\frac{16 \sqrt{a+b x} (2 A b-a B)}{3 a^4 \sqrt{x}}-\frac{8 (2 A b-a B)}{3 a^3 \sqrt{x} \sqrt{a+b x}}-\frac{2 (2 A b-a B)}{3 a^2 \sqrt{x} (a+b x)^{3/2}}-\frac{2 A}{3 a x^{3/2} (a+b x)^{3/2}}","\frac{16 \sqrt{a+b x} (2 A b-a B)}{3 a^4 \sqrt{x}}-\frac{8 (2 A b-a B)}{3 a^3 \sqrt{x} \sqrt{a+b x}}-\frac{2 (2 A b-a B)}{3 a^2 \sqrt{x} (a+b x)^{3/2}}-\frac{2 A}{3 a x^{3/2} (a+b x)^{3/2}}",1,"(-2*A)/(3*a*x^(3/2)*(a + b*x)^(3/2)) - (2*(2*A*b - a*B))/(3*a^2*Sqrt[x]*(a + b*x)^(3/2)) - (8*(2*A*b - a*B))/(3*a^3*Sqrt[x]*Sqrt[a + b*x]) + (16*(2*A*b - a*B)*Sqrt[a + b*x])/(3*a^4*Sqrt[x])","A",4,3,20,0.1500,1,"{78, 45, 37}"
544,1,144,0,0.0493079,"\int \frac{A+B x}{x^{7/2} (a+b x)^{5/2}} \, dx","Int[(A + B*x)/(x^(7/2)*(a + b*x)^(5/2)),x]","\frac{16 \sqrt{a+b x} (8 A b-5 a B)}{15 a^4 x^{3/2}}-\frac{4 (8 A b-5 a B)}{5 a^3 x^{3/2} \sqrt{a+b x}}-\frac{2 (8 A b-5 a B)}{15 a^2 x^{3/2} (a+b x)^{3/2}}-\frac{32 b \sqrt{a+b x} (8 A b-5 a B)}{15 a^5 \sqrt{x}}-\frac{2 A}{5 a x^{5/2} (a+b x)^{3/2}}","\frac{16 \sqrt{a+b x} (8 A b-5 a B)}{15 a^4 x^{3/2}}-\frac{4 (8 A b-5 a B)}{5 a^3 x^{3/2} \sqrt{a+b x}}-\frac{2 (8 A b-5 a B)}{15 a^2 x^{3/2} (a+b x)^{3/2}}-\frac{32 b \sqrt{a+b x} (8 A b-5 a B)}{15 a^5 \sqrt{x}}-\frac{2 A}{5 a x^{5/2} (a+b x)^{3/2}}",1,"(-2*A)/(5*a*x^(5/2)*(a + b*x)^(3/2)) - (2*(8*A*b - 5*a*B))/(15*a^2*x^(3/2)*(a + b*x)^(3/2)) - (4*(8*A*b - 5*a*B))/(5*a^3*x^(3/2)*Sqrt[a + b*x]) + (16*(8*A*b - 5*a*B)*Sqrt[a + b*x])/(15*a^4*x^(3/2)) - (32*b*(8*A*b - 5*a*B)*Sqrt[a + b*x])/(15*a^5*Sqrt[x])","A",5,3,20,0.1500,1,"{78, 45, 37}"
545,1,177,0,0.0686382,"\int \frac{A+B x}{x^{9/2} (a+b x)^{5/2}} \, dx","Int[(A + B*x)/(x^(9/2)*(a + b*x)^(5/2)),x]","\frac{256 b^2 \sqrt{a+b x} (10 A b-7 a B)}{105 a^6 \sqrt{x}}-\frac{128 b \sqrt{a+b x} (10 A b-7 a B)}{105 a^5 x^{3/2}}+\frac{32 \sqrt{a+b x} (10 A b-7 a B)}{35 a^4 x^{5/2}}-\frac{16 (10 A b-7 a B)}{21 a^3 x^{5/2} \sqrt{a+b x}}-\frac{2 (10 A b-7 a B)}{21 a^2 x^{5/2} (a+b x)^{3/2}}-\frac{2 A}{7 a x^{7/2} (a+b x)^{3/2}}","\frac{256 b^2 \sqrt{a+b x} (10 A b-7 a B)}{105 a^6 \sqrt{x}}-\frac{128 b \sqrt{a+b x} (10 A b-7 a B)}{105 a^5 x^{3/2}}+\frac{32 \sqrt{a+b x} (10 A b-7 a B)}{35 a^4 x^{5/2}}-\frac{16 (10 A b-7 a B)}{21 a^3 x^{5/2} \sqrt{a+b x}}-\frac{2 (10 A b-7 a B)}{21 a^2 x^{5/2} (a+b x)^{3/2}}-\frac{2 A}{7 a x^{7/2} (a+b x)^{3/2}}",1,"(-2*A)/(7*a*x^(7/2)*(a + b*x)^(3/2)) - (2*(10*A*b - 7*a*B))/(21*a^2*x^(5/2)*(a + b*x)^(3/2)) - (16*(10*A*b - 7*a*B))/(21*a^3*x^(5/2)*Sqrt[a + b*x]) + (32*(10*A*b - 7*a*B)*Sqrt[a + b*x])/(35*a^4*x^(5/2)) - (128*b*(10*A*b - 7*a*B)*Sqrt[a + b*x])/(105*a^5*x^(3/2)) + (256*b^2*(10*A*b - 7*a*B)*Sqrt[a + b*x])/(105*a^6*Sqrt[x])","A",6,3,20,0.1500,1,"{78, 45, 37}"
546,1,210,0,0.0829912,"\int \frac{A+B x}{x^{11/2} (a+b x)^{5/2}} \, dx","Int[(A + B*x)/(x^(11/2)*(a + b*x)^(5/2)),x]","\frac{256 b^2 \sqrt{a+b x} (4 A b-3 a B)}{63 a^6 x^{3/2}}-\frac{512 b^3 \sqrt{a+b x} (4 A b-3 a B)}{63 a^7 \sqrt{x}}-\frac{64 b \sqrt{a+b x} (4 A b-3 a B)}{21 a^5 x^{5/2}}+\frac{160 \sqrt{a+b x} (4 A b-3 a B)}{63 a^4 x^{7/2}}-\frac{20 (4 A b-3 a B)}{9 a^3 x^{7/2} \sqrt{a+b x}}-\frac{2 (4 A b-3 a B)}{9 a^2 x^{7/2} (a+b x)^{3/2}}-\frac{2 A}{9 a x^{9/2} (a+b x)^{3/2}}","\frac{256 b^2 \sqrt{a+b x} (4 A b-3 a B)}{63 a^6 x^{3/2}}-\frac{512 b^3 \sqrt{a+b x} (4 A b-3 a B)}{63 a^7 \sqrt{x}}-\frac{64 b \sqrt{a+b x} (4 A b-3 a B)}{21 a^5 x^{5/2}}+\frac{160 \sqrt{a+b x} (4 A b-3 a B)}{63 a^4 x^{7/2}}-\frac{20 (4 A b-3 a B)}{9 a^3 x^{7/2} \sqrt{a+b x}}-\frac{2 (4 A b-3 a B)}{9 a^2 x^{7/2} (a+b x)^{3/2}}-\frac{2 A}{9 a x^{9/2} (a+b x)^{3/2}}",1,"(-2*A)/(9*a*x^(9/2)*(a + b*x)^(3/2)) - (2*(4*A*b - 3*a*B))/(9*a^2*x^(7/2)*(a + b*x)^(3/2)) - (20*(4*A*b - 3*a*B))/(9*a^3*x^(7/2)*Sqrt[a + b*x]) + (160*(4*A*b - 3*a*B)*Sqrt[a + b*x])/(63*a^4*x^(7/2)) - (64*b*(4*A*b - 3*a*B)*Sqrt[a + b*x])/(21*a^5*x^(5/2)) + (256*b^2*(4*A*b - 3*a*B)*Sqrt[a + b*x])/(63*a^6*x^(3/2)) - (512*b^3*(4*A*b - 3*a*B)*Sqrt[a + b*x])/(63*a^7*Sqrt[x])","A",7,3,20,0.1500,1,"{78, 45, 37}"
547,1,302,0,0.2508986,"\int x^3 \sqrt{a+b x} \sqrt{c+d x} \, dx","Int[x^3*Sqrt[a + b*x]*Sqrt[c + d*x],x]","\frac{(a+b x)^{3/2} (c+d x)^{3/2} \left(35 a^2 d^2-42 b d x (a d+b c)+38 a b c d+35 b^2 c^2\right)}{240 b^3 d^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (a d+b c) \left(7 a^2 d^2+2 a b c d+7 b^2 c^2\right)}{64 b^4 d^3}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-2 a^3 b c d^3-7 a^4 d^4+2 a b^3 c^3 d+7 b^4 c^4\right)}{128 b^4 d^4}+\frac{(a d+b c) \left(7 a^2 d^2+2 a b c d+7 b^2 c^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{9/2} d^{9/2}}+\frac{x^2 (a+b x)^{3/2} (c+d x)^{3/2}}{5 b d}","\frac{(a+b x)^{3/2} (c+d x)^{3/2} \left(35 a^2 d^2-42 b d x (a d+b c)+38 a b c d+35 b^2 c^2\right)}{240 b^3 d^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (a d+b c) \left(7 a^2 d^2+2 a b c d+7 b^2 c^2\right)}{64 b^4 d^3}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-2 a^3 b c d^3-7 a^4 d^4+2 a b^3 c^3 d+7 b^4 c^4\right)}{128 b^4 d^4}+\frac{(a d+b c) \left(7 a^2 d^2+2 a b c d+7 b^2 c^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{9/2} d^{9/2}}+\frac{x^2 (a+b x)^{3/2} (c+d x)^{3/2}}{5 b d}",1,"-((7*b^4*c^4 + 2*a*b^3*c^3*d - 2*a^3*b*c*d^3 - 7*a^4*d^4)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*b^4*d^4) - ((b*c + a*d)*(7*b^2*c^2 + 2*a*b*c*d + 7*a^2*d^2)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(64*b^4*d^3) + (x^2*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(5*b*d) + ((a + b*x)^(3/2)*(c + d*x)^(3/2)*(35*b^2*c^2 + 38*a*b*c*d + 35*a^2*d^2 - 42*b*d*(b*c + a*d)*x))/(240*b^3*d^3) + ((b*c - a*d)^2*(b*c + a*d)*(7*b^2*c^2 + 2*a*b*c*d + 7*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(128*b^(9/2)*d^(9/2))","A",7,6,22,0.2727,1,"{100, 147, 50, 63, 217, 206}"
548,1,237,0,0.1959336,"\int x^2 \sqrt{a+b x} \sqrt{c+d x} \, dx","Int[x^2*Sqrt[a + b*x]*Sqrt[c + d*x],x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(4 a b c d-5 (a d+b c)^2\right) (b c-a d)}{64 b^3 d^3}-\frac{5 (a+b x)^{3/2} (c+d x)^{3/2} (a d+b c)}{24 b^2 d^2}-\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(4 a b c d-5 (a d+b c)^2\right)}{32 b^3 d^2}+\frac{\left(4 a b c d-5 (a d+b c)^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{7/2} d^{7/2}}+\frac{x (a+b x)^{3/2} (c+d x)^{3/2}}{4 b d}","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(4 a b c d-5 (a d+b c)^2\right) (b c-a d)}{64 b^3 d^3}-\frac{5 (a+b x)^{3/2} (c+d x)^{3/2} (a d+b c)}{24 b^2 d^2}-\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(4 a b c d-5 (a d+b c)^2\right)}{32 b^3 d^2}+\frac{\left(4 a b c d-5 (a d+b c)^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{7/2} d^{7/2}}+\frac{x (a+b x)^{3/2} (c+d x)^{3/2}}{4 b d}",1,"-((b*c - a*d)*(4*a*b*c*d - 5*(b*c + a*d)^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b^3*d^3) - ((4*a*b*c*d - 5*(b*c + a*d)^2)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(32*b^3*d^2) - (5*(b*c + a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(24*b^2*d^2) + (x*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(4*b*d) + ((b*c - a*d)^2*(4*a*b*c*d - 5*(b*c + a*d)^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(7/2)*d^(7/2))","A",7,6,22,0.2727,1,"{90, 80, 50, 63, 217, 206}"
549,1,163,0,0.0905002,"\int x \sqrt{a+b x} \sqrt{c+d x} \, dx","Int[x*Sqrt[a + b*x]*Sqrt[c + d*x],x]","\frac{1}{8} \sqrt{a+b x} \sqrt{c+d x} \left(\frac{a^2}{b^2}-\frac{c^2}{d^2}\right)+\frac{(a d+b c) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{5/2} d^{5/2}}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (a d+b c)}{4 b^2 d}+\frac{(a+b x)^{3/2} (c+d x)^{3/2}}{3 b d}","\frac{1}{8} \sqrt{a+b x} \sqrt{c+d x} \left(\frac{a^2}{b^2}-\frac{c^2}{d^2}\right)+\frac{(a d+b c) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{5/2} d^{5/2}}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (a d+b c)}{4 b^2 d}+\frac{(a+b x)^{3/2} (c+d x)^{3/2}}{3 b d}",1,"((a^2/b^2 - c^2/d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/8 - ((b*c + a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(4*b^2*d) + ((a + b*x)^(3/2)*(c + d*x)^(3/2))/(3*b*d) + ((b*c - a*d)^2*(b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(5/2)*d^(5/2))","A",6,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
550,1,116,0,0.0512997,"\int \sqrt{a+b x} \sqrt{c+d x} \, dx","Int[Sqrt[a + b*x]*Sqrt[c + d*x],x]","-\frac{(b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{3/2} d^{3/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 b d}+\frac{(a+b x)^{3/2} \sqrt{c+d x}}{2 b}","-\frac{(b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{3/2} d^{3/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 b d}+\frac{(a+b x)^{3/2} \sqrt{c+d x}}{2 b}",1,"((b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*b*d) + ((a + b*x)^(3/2)*Sqrt[c + d*x])/(2*b) - ((b*c - a*d)^2*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(3/2)*d^(3/2))","A",5,4,19,0.2105,1,"{50, 63, 217, 206}"
551,1,110,0,0.0712849,"\int \frac{\sqrt{a+b x} \sqrt{c+d x}}{x} \, dx","Int[(Sqrt[a + b*x]*Sqrt[c + d*x])/x,x]","\sqrt{a+b x} \sqrt{c+d x}-2 \sqrt{a} \sqrt{c} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{(a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} \sqrt{d}}","\sqrt{a+b x} \sqrt{c+d x}-2 \sqrt{a} \sqrt{c} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{(a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} \sqrt{d}}",1,"Sqrt[a + b*x]*Sqrt[c + d*x] - 2*Sqrt[a]*Sqrt[c]*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])] + ((b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(Sqrt[b]*Sqrt[d])","A",7,7,22,0.3182,1,"{101, 157, 63, 217, 206, 93, 208}"
552,1,115,0,0.0610892,"\int \frac{\sqrt{a+b x} \sqrt{c+d x}}{x^2} \, dx","Int[(Sqrt[a + b*x]*Sqrt[c + d*x])/x^2,x]","-\frac{\sqrt{a+b x} \sqrt{c+d x}}{x}-\frac{(a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a} \sqrt{c}}+2 \sqrt{b} \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)","-\frac{\sqrt{a+b x} \sqrt{c+d x}}{x}-\frac{(a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a} \sqrt{c}}+2 \sqrt{b} \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)",1,"-((Sqrt[a + b*x]*Sqrt[c + d*x])/x) - ((b*c + a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(Sqrt[a]*Sqrt[c]) + 2*Sqrt[b]*Sqrt[d]*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])]","A",7,7,22,0.3182,1,"{97, 157, 63, 217, 206, 93, 208}"
553,1,122,0,0.0478093,"\int \frac{\sqrt{a+b x} \sqrt{c+d x}}{x^3} \, dx","Int[(Sqrt[a + b*x]*Sqrt[c + d*x])/x^3,x]","\frac{(b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{3/2} c^{3/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2}}{2 c x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 a c x}","\frac{(b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{3/2} c^{3/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2}}{2 c x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 a c x}",1,"-((b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*a*c*x) - (Sqrt[a + b*x]*(c + d*x)^(3/2))/(2*c*x^2) + ((b*c - a*d)^2*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(3/2)*c^(3/2))","A",4,3,22,0.1364,1,"{94, 93, 208}"
554,1,172,0,0.0855222,"\int \frac{\sqrt{a+b x} \sqrt{c+d x}}{x^4} \, dx","Int[(Sqrt[a + b*x]*Sqrt[c + d*x])/x^4,x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(\frac{b^2}{a^2}-\frac{d^2}{c^2}\right)}{8 x}-\frac{(a d+b c) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{5/2} c^{5/2}}+\frac{\sqrt{a+b x} (c+d x)^{3/2} (a d+b c)}{4 a c^2 x^2}-\frac{(a+b x)^{3/2} (c+d x)^{3/2}}{3 a c x^3}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(\frac{b^2}{a^2}-\frac{d^2}{c^2}\right)}{8 x}-\frac{(a d+b c) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{5/2} c^{5/2}}+\frac{\sqrt{a+b x} (c+d x)^{3/2} (a d+b c)}{4 a c^2 x^2}-\frac{(a+b x)^{3/2} (c+d x)^{3/2}}{3 a c x^3}",1,"((b^2/a^2 - d^2/c^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*x) + ((b*c + a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(4*a*c^2*x^2) - ((a + b*x)^(3/2)*(c + d*x)^(3/2))/(3*a*c*x^3) - ((b*c - a*d)^2*(b*c + a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(5/2)*c^(5/2))","A",5,4,22,0.1818,1,"{96, 94, 93, 208}"
555,1,256,0,0.1949919,"\int \frac{\sqrt{a+b x} \sqrt{c+d x}}{x^5} \, dx","Int[(Sqrt[a + b*x]*Sqrt[c + d*x])/x^5,x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(5 a^2 d^2-2 a b c d+5 b^2 c^2\right)}{96 a^2 c^2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+b c) \left(15 a^2 d^2-22 a b c d+15 b^2 c^2\right)}{192 a^3 c^3 x}+\frac{\left(5 a^2 d^2+6 a b c d+5 b^2 c^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{7/2} c^{7/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+b c)}{24 a c x^3}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{4 x^4}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(5 a^2 d^2-2 a b c d+5 b^2 c^2\right)}{96 a^2 c^2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+b c) \left(15 a^2 d^2-22 a b c d+15 b^2 c^2\right)}{192 a^3 c^3 x}+\frac{\left(5 a^2 d^2+6 a b c d+5 b^2 c^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{7/2} c^{7/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+b c)}{24 a c x^3}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{4 x^4}",1,"-(Sqrt[a + b*x]*Sqrt[c + d*x])/(4*x^4) - ((b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(24*a*c*x^3) + ((5*b^2*c^2 - 2*a*b*c*d + 5*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(96*a^2*c^2*x^2) - ((b*c + a*d)*(15*b^2*c^2 - 22*a*b*c*d + 15*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(192*a^3*c^3*x) + ((b*c - a*d)^2*(5*b^2*c^2 + 6*a*b*c*d + 5*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(7/2)*c^(7/2))","A",7,5,22,0.2273,1,"{97, 151, 12, 93, 208}"
556,1,345,0,0.3174597,"\int \frac{\sqrt{a+b x} \sqrt{c+d x}}{x^6} \, dx","Int[(Sqrt[a + b*x]*Sqrt[c + d*x])/x^6,x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+b c) \left(35 a^2 d^2-46 a b c d+35 b^2 c^2\right)}{960 a^3 c^3 x^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(7 a^2 d^2-2 a b c d+7 b^2 c^2\right)}{240 a^2 c^2 x^3}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-34 a^2 b^2 c^2 d^2-40 a^3 b c d^3+105 a^4 d^4-40 a b^3 c^3 d+105 b^4 c^4\right)}{1920 a^4 c^4 x}-\frac{(a d+b c) \left(7 a^2 d^2+2 a b c d+7 b^2 c^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{9/2} c^{9/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+b c)}{40 a c x^4}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{5 x^5}","-\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+b c) \left(35 a^2 d^2-46 a b c d+35 b^2 c^2\right)}{960 a^3 c^3 x^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(7 a^2 d^2-2 a b c d+7 b^2 c^2\right)}{240 a^2 c^2 x^3}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-34 a^2 b^2 c^2 d^2-40 a^3 b c d^3+105 a^4 d^4-40 a b^3 c^3 d+105 b^4 c^4\right)}{1920 a^4 c^4 x}-\frac{(a d+b c) \left(7 a^2 d^2+2 a b c d+7 b^2 c^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{9/2} c^{9/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+b c)}{40 a c x^4}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{5 x^5}",1,"-(Sqrt[a + b*x]*Sqrt[c + d*x])/(5*x^5) - ((b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(40*a*c*x^4) + ((7*b^2*c^2 - 2*a*b*c*d + 7*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(240*a^2*c^2*x^3) - ((b*c + a*d)*(35*b^2*c^2 - 46*a*b*c*d + 35*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(960*a^3*c^3*x^2) + ((105*b^4*c^4 - 40*a*b^3*c^3*d - 34*a^2*b^2*c^2*d^2 - 40*a^3*b*c*d^3 + 105*a^4*d^4)*Sqrt[a + b*x]*Sqrt[c + d*x])/(1920*a^4*c^4*x) - ((b*c - a*d)^2*(b*c + a*d)*(7*b^2*c^2 + 2*a*b*c*d + 7*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(128*a^(9/2)*c^(9/2))","A",8,5,22,0.2273,1,"{97, 151, 12, 93, 208}"
557,1,315,0,0.2894587,"\int x^2 \sqrt{a+b x} (c+d x)^{3/2} \, dx","Int[x^2*Sqrt[a + b*x]*(c + d*x)^(3/2),x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(7 a^2 d^2+6 a b c d+3 b^2 c^2\right) (b c-a d)^2}{128 b^4 d^3}+\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(7 a^2 d^2+6 a b c d+3 b^2 c^2\right) (b c-a d)}{64 b^4 d^2}+\frac{(a+b x)^{3/2} (c+d x)^{3/2} \left(7 a^2 d^2+6 a b c d+3 b^2 c^2\right)}{48 b^3 d^2}-\frac{\left(7 a^2 d^2+6 a b c d+3 b^2 c^2\right) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{9/2} d^{7/2}}-\frac{(a+b x)^{3/2} (c+d x)^{5/2} (7 a d+5 b c)}{40 b^2 d^2}+\frac{x (a+b x)^{3/2} (c+d x)^{5/2}}{5 b d}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(7 a^2 d^2+6 a b c d+3 b^2 c^2\right) (b c-a d)^2}{128 b^4 d^3}+\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(7 a^2 d^2+6 a b c d+3 b^2 c^2\right) (b c-a d)}{64 b^4 d^2}+\frac{(a+b x)^{3/2} (c+d x)^{3/2} \left(7 a^2 d^2+6 a b c d+3 b^2 c^2\right)}{48 b^3 d^2}-\frac{\left(7 a^2 d^2+6 a b c d+3 b^2 c^2\right) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{9/2} d^{7/2}}-\frac{(a+b x)^{3/2} (c+d x)^{5/2} (7 a d+5 b c)}{40 b^2 d^2}+\frac{x (a+b x)^{3/2} (c+d x)^{5/2}}{5 b d}",1,"((b*c - a*d)^2*(3*b^2*c^2 + 6*a*b*c*d + 7*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*b^4*d^3) + ((b*c - a*d)*(3*b^2*c^2 + 6*a*b*c*d + 7*a^2*d^2)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(64*b^4*d^2) + ((3*b^2*c^2 + 6*a*b*c*d + 7*a^2*d^2)*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(48*b^3*d^2) - ((5*b*c + 7*a*d)*(a + b*x)^(3/2)*(c + d*x)^(5/2))/(40*b^2*d^2) + (x*(a + b*x)^(3/2)*(c + d*x)^(5/2))/(5*b*d) - ((b*c - a*d)^3*(3*b^2*c^2 + 6*a*b*c*d + 7*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(128*b^(9/2)*d^(7/2))","A",8,6,22,0.2727,1,"{90, 80, 50, 63, 217, 206}"
558,1,221,0,0.1255712,"\int x \sqrt{a+b x} (c+d x)^{3/2} \, dx","Int[x*Sqrt[a + b*x]*(c + d*x)^(3/2),x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} (5 a d+3 b c) (b c-a d)^2}{64 b^3 d^2}+\frac{(5 a d+3 b c) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{7/2} d^{5/2}}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (5 a d+3 b c) (b c-a d)}{32 b^3 d}-\frac{(a+b x)^{3/2} (c+d x)^{3/2} (5 a d+3 b c)}{24 b^2 d}+\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{4 b d}","-\frac{\sqrt{a+b x} \sqrt{c+d x} (5 a d+3 b c) (b c-a d)^2}{64 b^3 d^2}+\frac{(5 a d+3 b c) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{7/2} d^{5/2}}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (5 a d+3 b c) (b c-a d)}{32 b^3 d}-\frac{(a+b x)^{3/2} (c+d x)^{3/2} (5 a d+3 b c)}{24 b^2 d}+\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{4 b d}",1,"-((b*c - a*d)^2*(3*b*c + 5*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b^3*d^2) - ((b*c - a*d)*(3*b*c + 5*a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(32*b^3*d) - ((3*b*c + 5*a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(24*b^2*d) + ((a + b*x)^(3/2)*(c + d*x)^(5/2))/(4*b*d) + ((b*c - a*d)^3*(3*b*c + 5*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(7/2)*d^(5/2))","A",7,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
559,1,151,0,0.0710242,"\int \sqrt{a+b x} (c+d x)^{3/2} \, dx","Int[Sqrt[a + b*x]*(c + d*x)^(3/2),x]","-\frac{(b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{5/2} d^{3/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 b^2 d}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (b c-a d)}{4 b^2}+\frac{(a+b x)^{3/2} (c+d x)^{3/2}}{3 b}","-\frac{(b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{5/2} d^{3/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 b^2 d}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (b c-a d)}{4 b^2}+\frac{(a+b x)^{3/2} (c+d x)^{3/2}}{3 b}",1,"((b*c - a*d)^2*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*b^2*d) + ((b*c - a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(4*b^2) + ((a + b*x)^(3/2)*(c + d*x)^(3/2))/(3*b) - ((b*c - a*d)^3*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(5/2)*d^(3/2))","A",6,4,19,0.2105,1,"{50, 63, 217, 206}"
560,1,165,0,0.1352591,"\int \frac{\sqrt{a+b x} (c+d x)^{3/2}}{x} \, dx","Int[(Sqrt[a + b*x]*(c + d*x)^(3/2))/x,x]","\frac{\left(-a^2 d^2+6 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{3/2} \sqrt{d}}-2 \sqrt{a} c^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{1}{2} \sqrt{a+b x} (c+d x)^{3/2}+\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+3 b c)}{4 b}","\frac{\left(-a^2 d^2+6 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{3/2} \sqrt{d}}-2 \sqrt{a} c^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{1}{2} \sqrt{a+b x} (c+d x)^{3/2}+\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+3 b c)}{4 b}",1,"((3*b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*b) + (Sqrt[a + b*x]*(c + d*x)^(3/2))/2 - 2*Sqrt[a]*c^(3/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])] + ((3*b^2*c^2 + 6*a*b*c*d - a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(3/2)*Sqrt[d])","A",8,8,22,0.3636,1,"{101, 154, 157, 63, 217, 206, 93, 208}"
561,1,144,0,0.1106093,"\int \frac{\sqrt{a+b x} (c+d x)^{3/2}}{x^2} \, dx","Int[(Sqrt[a + b*x]*(c + d*x)^(3/2))/x^2,x]","-\frac{\sqrt{a+b x} (c+d x)^{3/2}}{x}+2 d \sqrt{a+b x} \sqrt{c+d x}-\frac{\sqrt{c} (3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a}}+\frac{\sqrt{d} (a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b}}","-\frac{\sqrt{a+b x} (c+d x)^{3/2}}{x}+2 d \sqrt{a+b x} \sqrt{c+d x}-\frac{\sqrt{c} (3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a}}+\frac{\sqrt{d} (a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b}}",1,"2*d*Sqrt[a + b*x]*Sqrt[c + d*x] - (Sqrt[a + b*x]*(c + d*x)^(3/2))/x - (Sqrt[c]*(b*c + 3*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/Sqrt[a] + (Sqrt[d]*(3*b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/Sqrt[b]","A",8,8,22,0.3636,1,"{97, 154, 157, 63, 217, 206, 93, 208}"
562,1,170,0,0.1123757,"\int \frac{\sqrt{a+b x} (c+d x)^{3/2}}{x^3} \, dx","Int[(Sqrt[a + b*x]*(c + d*x)^(3/2))/x^3,x]","\frac{\left(-3 a^2 d^2-6 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{3/2} \sqrt{c}}+2 \sqrt{b} d^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{\sqrt{a+b x} (c+d x)^{3/2}}{2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+b c)}{4 a x}","\frac{\left(-3 a^2 d^2-6 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{3/2} \sqrt{c}}+2 \sqrt{b} d^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{\sqrt{a+b x} (c+d x)^{3/2}}{2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+b c)}{4 a x}",1,"-((b*c + 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*a*x) - (Sqrt[a + b*x]*(c + d*x)^(3/2))/(2*x^2) + ((b^2*c^2 - 6*a*b*c*d - 3*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(3/2)*Sqrt[c]) + 2*Sqrt[b]*d^(3/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])]","A",8,8,22,0.3636,1,"{97, 149, 157, 63, 217, 206, 93, 208}"
563,1,163,0,0.0733824,"\int \frac{\sqrt{a+b x} (c+d x)^{3/2}}{x^4} \, dx","Int[(Sqrt[a + b*x]*(c + d*x)^(3/2))/x^4,x]","-\frac{(b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{5/2} c^{3/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 a^2 c x}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}{12 a c x^2}-\frac{\sqrt{a+b x} (c+d x)^{5/2}}{3 c x^3}","-\frac{(b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{5/2} c^{3/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 a^2 c x}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}{12 a c x^2}-\frac{\sqrt{a+b x} (c+d x)^{5/2}}{3 c x^3}",1,"((b*c - a*d)^2*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*a^2*c*x) - ((b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(12*a*c*x^2) - (Sqrt[a + b*x]*(c + d*x)^(5/2))/(3*c*x^3) - ((b*c - a*d)^3*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(5/2)*c^(3/2))","A",5,3,22,0.1364,1,"{94, 93, 208}"
564,1,233,0,0.1185168,"\int \frac{\sqrt{a+b x} (c+d x)^{3/2}}{x^5} \, dx","Int[(Sqrt[a + b*x]*(c + d*x)^(3/2))/x^5,x]","\frac{\sqrt{a+b x} (c+d x)^{3/2} (3 a d+5 b c) (b c-a d)}{96 a^2 c^2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+5 b c) (b c-a d)^2}{64 a^3 c^2 x}+\frac{(3 a d+5 b c) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{7/2} c^{5/2}}+\frac{\sqrt{a+b x} (c+d x)^{5/2} (3 a d+5 b c)}{24 a c^2 x^3}-\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{4 a c x^4}","\frac{\sqrt{a+b x} (c+d x)^{3/2} (3 a d+5 b c) (b c-a d)}{96 a^2 c^2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+5 b c) (b c-a d)^2}{64 a^3 c^2 x}+\frac{(3 a d+5 b c) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{7/2} c^{5/2}}+\frac{\sqrt{a+b x} (c+d x)^{5/2} (3 a d+5 b c)}{24 a c^2 x^3}-\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{4 a c x^4}",1,"-((b*c - a*d)^2*(5*b*c + 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*a^3*c^2*x) + ((b*c - a*d)*(5*b*c + 3*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(96*a^2*c^2*x^2) + ((5*b*c + 3*a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(24*a*c^2*x^3) - ((a + b*x)^(3/2)*(c + d*x)^(5/2))/(4*a*c*x^4) + ((b*c - a*d)^3*(5*b*c + 3*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(7/2)*c^(5/2))","A",6,4,22,0.1818,1,"{96, 94, 93, 208}"
565,1,340,0,0.3268441,"\int \frac{\sqrt{a+b x} (c+d x)^{3/2}}{x^6} \, dx","Int[(Sqrt[a + b*x]*(c + d*x)^(3/2))/x^6,x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(9 a^2 b c d^2-15 a^3 d^3-61 a b^2 c^2 d+35 b^3 c^3\right)}{960 a^3 c^2 x^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(36 a^2 b^2 c^2 d^2+30 a^3 b c d^3-45 a^4 d^4-190 a b^3 c^3 d+105 b^4 c^4\right)}{1920 a^4 c^3 x}-\frac{\left(3 a^2 d^2+6 a b c d+7 b^2 c^2\right) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{9/2} c^{7/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(\frac{7 b^2 c}{a}-\frac{3 a d^2}{c}-12 b d\right)}{240 a x^3}-\frac{\sqrt{a+b x} (c+d x)^{3/2}}{5 x^5}-\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+b c)}{40 a x^4}","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(9 a^2 b c d^2-15 a^3 d^3-61 a b^2 c^2 d+35 b^3 c^3\right)}{960 a^3 c^2 x^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(36 a^2 b^2 c^2 d^2+30 a^3 b c d^3-45 a^4 d^4-190 a b^3 c^3 d+105 b^4 c^4\right)}{1920 a^4 c^3 x}-\frac{\left(3 a^2 d^2+6 a b c d+7 b^2 c^2\right) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{9/2} c^{7/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(\frac{7 b^2 c}{a}-\frac{3 a d^2}{c}-12 b d\right)}{240 a x^3}-\frac{\sqrt{a+b x} (c+d x)^{3/2}}{5 x^5}-\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+b c)}{40 a x^4}",1,"-((b*c + 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(40*a*x^4) + (((7*b^2*c)/a - 12*b*d - (3*a*d^2)/c)*Sqrt[a + b*x]*Sqrt[c + d*x])/(240*a*x^3) - ((35*b^3*c^3 - 61*a*b^2*c^2*d + 9*a^2*b*c*d^2 - 15*a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(960*a^3*c^2*x^2) + ((105*b^4*c^4 - 190*a*b^3*c^3*d + 36*a^2*b^2*c^2*d^2 + 30*a^3*b*c*d^3 - 45*a^4*d^4)*Sqrt[a + b*x]*Sqrt[c + d*x])/(1920*a^4*c^3*x) - (Sqrt[a + b*x]*(c + d*x)^(3/2))/(5*x^5) - ((b*c - a*d)^3*(7*b^2*c^2 + 6*a*b*c*d + 3*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(128*a^(9/2)*c^(7/2))","A",8,6,22,0.2727,1,"{97, 149, 151, 12, 93, 208}"
566,1,376,0,0.3677607,"\int x^2 \sqrt{a+b x} (c+d x)^{5/2} \, dx","Int[x^2*Sqrt[a + b*x]*(c + d*x)^(5/2),x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(21 a^2 d^2+14 a b c d+5 b^2 c^2\right) (b c-a d)^3}{512 b^5 d^3}+\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(21 a^2 d^2+14 a b c d+5 b^2 c^2\right) (b c-a d)^2}{256 b^5 d^2}+\frac{(a+b x)^{3/2} (c+d x)^{3/2} \left(21 a^2 d^2+14 a b c d+5 b^2 c^2\right) (b c-a d)}{192 b^4 d^2}+\frac{(a+b x)^{3/2} (c+d x)^{5/2} \left(21 a^2 d^2+14 a b c d+5 b^2 c^2\right)}{160 b^3 d^2}-\frac{\left(21 a^2 d^2+14 a b c d+5 b^2 c^2\right) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{512 b^{11/2} d^{7/2}}-\frac{(a+b x)^{3/2} (c+d x)^{7/2} (9 a d+5 b c)}{60 b^2 d^2}+\frac{x (a+b x)^{3/2} (c+d x)^{7/2}}{6 b d}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(21 a^2 d^2+14 a b c d+5 b^2 c^2\right) (b c-a d)^3}{512 b^5 d^3}+\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(21 a^2 d^2+14 a b c d+5 b^2 c^2\right) (b c-a d)^2}{256 b^5 d^2}+\frac{(a+b x)^{3/2} (c+d x)^{3/2} \left(21 a^2 d^2+14 a b c d+5 b^2 c^2\right) (b c-a d)}{192 b^4 d^2}+\frac{(a+b x)^{3/2} (c+d x)^{5/2} \left(21 a^2 d^2+14 a b c d+5 b^2 c^2\right)}{160 b^3 d^2}-\frac{\left(21 a^2 d^2+14 a b c d+5 b^2 c^2\right) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{512 b^{11/2} d^{7/2}}-\frac{(a+b x)^{3/2} (c+d x)^{7/2} (9 a d+5 b c)}{60 b^2 d^2}+\frac{x (a+b x)^{3/2} (c+d x)^{7/2}}{6 b d}",1,"((b*c - a*d)^3*(5*b^2*c^2 + 14*a*b*c*d + 21*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(512*b^5*d^3) + ((b*c - a*d)^2*(5*b^2*c^2 + 14*a*b*c*d + 21*a^2*d^2)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(256*b^5*d^2) + ((b*c - a*d)*(5*b^2*c^2 + 14*a*b*c*d + 21*a^2*d^2)*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(192*b^4*d^2) + ((5*b^2*c^2 + 14*a*b*c*d + 21*a^2*d^2)*(a + b*x)^(3/2)*(c + d*x)^(5/2))/(160*b^3*d^2) - ((5*b*c + 9*a*d)*(a + b*x)^(3/2)*(c + d*x)^(7/2))/(60*b^2*d^2) + (x*(a + b*x)^(3/2)*(c + d*x)^(7/2))/(6*b*d) - ((b*c - a*d)^4*(5*b^2*c^2 + 14*a*b*c*d + 21*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(512*b^(11/2)*d^(7/2))","A",9,6,22,0.2727,1,"{90, 80, 50, 63, 217, 206}"
567,1,268,0,0.1571626,"\int x \sqrt{a+b x} (c+d x)^{5/2} \, dx","Int[x*Sqrt[a + b*x]*(c + d*x)^(5/2),x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} (7 a d+3 b c) (b c-a d)^3}{128 b^4 d^2}+\frac{(7 a d+3 b c) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{9/2} d^{5/2}}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (7 a d+3 b c) (b c-a d)^2}{64 b^4 d}-\frac{(a+b x)^{3/2} (c+d x)^{3/2} (7 a d+3 b c) (b c-a d)}{48 b^3 d}-\frac{(a+b x)^{3/2} (c+d x)^{5/2} (7 a d+3 b c)}{40 b^2 d}+\frac{(a+b x)^{3/2} (c+d x)^{7/2}}{5 b d}","-\frac{\sqrt{a+b x} \sqrt{c+d x} (7 a d+3 b c) (b c-a d)^3}{128 b^4 d^2}+\frac{(7 a d+3 b c) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{9/2} d^{5/2}}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (7 a d+3 b c) (b c-a d)^2}{64 b^4 d}-\frac{(a+b x)^{3/2} (c+d x)^{3/2} (7 a d+3 b c) (b c-a d)}{48 b^3 d}-\frac{(a+b x)^{3/2} (c+d x)^{5/2} (7 a d+3 b c)}{40 b^2 d}+\frac{(a+b x)^{3/2} (c+d x)^{7/2}}{5 b d}",1,"-((b*c - a*d)^3*(3*b*c + 7*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*b^4*d^2) - ((b*c - a*d)^2*(3*b*c + 7*a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(64*b^4*d) - ((b*c - a*d)*(3*b*c + 7*a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(48*b^3*d) - ((3*b*c + 7*a*d)*(a + b*x)^(3/2)*(c + d*x)^(5/2))/(40*b^2*d) + ((a + b*x)^(3/2)*(c + d*x)^(7/2))/(5*b*d) + ((b*c - a*d)^4*(3*b*c + 7*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(128*b^(9/2)*d^(5/2))","A",8,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
568,1,186,0,0.0931561,"\int \sqrt{a+b x} (c+d x)^{5/2} \, dx","Int[Sqrt[a + b*x]*(c + d*x)^(5/2),x]","-\frac{5 (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{7/2} d^{3/2}}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^3}{64 b^3 d}+\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (b c-a d)^2}{32 b^3}+\frac{5 (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}{24 b^2}+\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{4 b}","-\frac{5 (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{7/2} d^{3/2}}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^3}{64 b^3 d}+\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (b c-a d)^2}{32 b^3}+\frac{5 (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}{24 b^2}+\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{4 b}",1,"(5*(b*c - a*d)^3*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b^3*d) + (5*(b*c - a*d)^2*(a + b*x)^(3/2)*Sqrt[c + d*x])/(32*b^3) + (5*(b*c - a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(24*b^2) + ((a + b*x)^(3/2)*(c + d*x)^(5/2))/(4*b) - (5*(b*c - a*d)^4*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(7/2)*d^(3/2))","A",7,4,19,0.2105,1,"{50, 63, 217, 206}"
569,1,219,0,0.2220863,"\int \frac{\sqrt{a+b x} (c+d x)^{5/2}}{x} \, dx","Int[(Sqrt[a + b*x]*(c + d*x)^(5/2))/x,x]","\frac{\left(-5 a^2 b c d^2+a^3 d^3+15 a b^2 c^2 d+5 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{5/2} \sqrt{d}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (5 b c-a d) (a d+b c)}{8 b^2}-2 \sqrt{a} c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{1}{3} \sqrt{a+b x} (c+d x)^{5/2}+\frac{\sqrt{a+b x} (c+d x)^{3/2} (a d+5 b c)}{12 b}","\frac{\left(-5 a^2 b c d^2+a^3 d^3+15 a b^2 c^2 d+5 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{5/2} \sqrt{d}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (5 b c-a d) (a d+b c)}{8 b^2}-2 \sqrt{a} c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{1}{3} \sqrt{a+b x} (c+d x)^{5/2}+\frac{\sqrt{a+b x} (c+d x)^{3/2} (a d+5 b c)}{12 b}",1,"((5*b*c - a*d)*(b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*b^2) + ((5*b*c + a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(12*b) + (Sqrt[a + b*x]*(c + d*x)^(5/2))/3 - 2*Sqrt[a]*c^(5/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])] + ((5*b^3*c^3 + 15*a*b^2*c^2*d - 5*a^2*b*c*d^2 + a^3*d^3)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(5/2)*Sqrt[d])","A",9,8,22,0.3636,1,"{101, 154, 157, 63, 217, 206, 93, 208}"
570,1,198,0,0.1961683,"\int \frac{\sqrt{a+b x} (c+d x)^{5/2}}{x^2} \, dx","Int[(Sqrt[a + b*x]*(c + d*x)^(5/2))/x^2,x]","\frac{\sqrt{d} \left(-a^2 d^2+10 a b c d+15 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{3/2}}-\frac{c^{3/2} (5 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a}}-\frac{\sqrt{a+b x} (c+d x)^{5/2}}{x}+\frac{3}{2} d \sqrt{a+b x} (c+d x)^{3/2}+\frac{d \sqrt{a+b x} \sqrt{c+d x} (a d+11 b c)}{4 b}","\frac{\sqrt{d} \left(-a^2 d^2+10 a b c d+15 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{3/2}}-\frac{c^{3/2} (5 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a}}-\frac{\sqrt{a+b x} (c+d x)^{5/2}}{x}+\frac{3}{2} d \sqrt{a+b x} (c+d x)^{3/2}+\frac{d \sqrt{a+b x} \sqrt{c+d x} (a d+11 b c)}{4 b}",1,"(d*(11*b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*b) + (3*d*Sqrt[a + b*x]*(c + d*x)^(3/2))/2 - (Sqrt[a + b*x]*(c + d*x)^(5/2))/x - (c^(3/2)*(b*c + 5*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/Sqrt[a] + (Sqrt[d]*(15*b^2*c^2 + 10*a*b*c*d - a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(3/2))","A",9,8,22,0.3636,1,"{97, 154, 157, 63, 217, 206, 93, 208}"
571,1,211,0,0.1885504,"\int \frac{\sqrt{a+b x} (c+d x)^{5/2}}{x^3} \, dx","Int[(Sqrt[a + b*x]*(c + d*x)^(5/2))/x^3,x]","\frac{\sqrt{c} \left(-15 a^2 d^2-10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{3/2}}+\frac{d^{3/2} (a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b}}-\frac{\sqrt{a+b x} (c+d x)^{5/2}}{2 x^2}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 a d+b c)}{4 a x}+\frac{d \sqrt{a+b x} \sqrt{c+d x} (11 a d+b c)}{4 a}","\frac{\sqrt{c} \left(-15 a^2 d^2-10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{3/2}}+\frac{d^{3/2} (a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b}}-\frac{\sqrt{a+b x} (c+d x)^{5/2}}{2 x^2}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 a d+b c)}{4 a x}+\frac{d \sqrt{a+b x} \sqrt{c+d x} (11 a d+b c)}{4 a}",1,"(d*(b*c + 11*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*a) - ((b*c + 5*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(4*a*x) - (Sqrt[a + b*x]*(c + d*x)^(5/2))/(2*x^2) + (Sqrt[c]*(b^2*c^2 - 10*a*b*c*d - 15*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(3/2)) + (d^(3/2)*(5*b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/Sqrt[b]","A",9,9,22,0.4091,1,"{97, 149, 154, 157, 63, 217, 206, 93, 208}"
572,1,227,0,0.1853214,"\int \frac{\sqrt{a+b x} (c+d x)^{5/2}}{x^4} \, dx","Int[(Sqrt[a + b*x]*(c + d*x)^(5/2))/x^4,x]","-\frac{\left(15 a^2 b c d^2+5 a^3 d^3-5 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{5/2} \sqrt{c}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-5 a d) (a d+b c)}{8 a^2 x}+2 \sqrt{b} d^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{\sqrt{a+b x} (c+d x)^{5/2}}{3 x^3}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 a d+b c)}{12 a x^2}","-\frac{\left(15 a^2 b c d^2+5 a^3 d^3-5 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{5/2} \sqrt{c}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-5 a d) (a d+b c)}{8 a^2 x}+2 \sqrt{b} d^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{\sqrt{a+b x} (c+d x)^{5/2}}{3 x^3}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 a d+b c)}{12 a x^2}",1,"((b*c - 5*a*d)*(b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*a^2*x) - ((b*c + 5*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(12*a*x^2) - (Sqrt[a + b*x]*(c + d*x)^(5/2))/(3*x^3) - ((b^3*c^3 - 5*a*b^2*c^2*d + 15*a^2*b*c*d^2 + 5*a^3*d^3)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(5/2)*Sqrt[c]) + 2*Sqrt[b]*d^(5/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])]","A",9,8,22,0.3636,1,"{97, 149, 157, 63, 217, 206, 93, 208}"
573,1,204,0,0.10964,"\int \frac{\sqrt{a+b x} (c+d x)^{5/2}}{x^5} \, dx","Int[(Sqrt[a + b*x]*(c + d*x)^(5/2))/x^5,x]","\frac{5 (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{7/2} c^{3/2}}+\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}{96 a^2 c x^2}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^3}{64 a^3 c x}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (b c-a d)}{24 a c x^3}-\frac{\sqrt{a+b x} (c+d x)^{7/2}}{4 c x^4}","\frac{5 (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{7/2} c^{3/2}}+\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}{96 a^2 c x^2}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^3}{64 a^3 c x}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (b c-a d)}{24 a c x^3}-\frac{\sqrt{a+b x} (c+d x)^{7/2}}{4 c x^4}",1,"(-5*(b*c - a*d)^3*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*a^3*c*x) + (5*(b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(3/2))/(96*a^2*c*x^2) - ((b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(24*a*c*x^3) - (Sqrt[a + b*x]*(c + d*x)^(7/2))/(4*c*x^4) + (5*(b*c - a*d)^4*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(7/2)*c^(3/2))","A",6,3,22,0.1364,1,"{94, 93, 208}"
574,1,283,0,0.1616285,"\int \frac{\sqrt{a+b x} (c+d x)^{5/2}}{x^6} \, dx","Int[(Sqrt[a + b*x]*(c + d*x)^(5/2))/x^6,x]","-\frac{\sqrt{a+b x} (c+d x)^{3/2} (3 a d+7 b c) (b c-a d)^2}{192 a^3 c^2 x^2}+\frac{\sqrt{a+b x} (c+d x)^{5/2} (3 a d+7 b c) (b c-a d)}{240 a^2 c^2 x^3}+\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+7 b c) (b c-a d)^3}{128 a^4 c^2 x}-\frac{(3 a d+7 b c) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{9/2} c^{5/2}}+\frac{\sqrt{a+b x} (c+d x)^{7/2} (3 a d+7 b c)}{40 a c^2 x^4}-\frac{(a+b x)^{3/2} (c+d x)^{7/2}}{5 a c x^5}","-\frac{\sqrt{a+b x} (c+d x)^{3/2} (3 a d+7 b c) (b c-a d)^2}{192 a^3 c^2 x^2}+\frac{\sqrt{a+b x} (c+d x)^{5/2} (3 a d+7 b c) (b c-a d)}{240 a^2 c^2 x^3}+\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+7 b c) (b c-a d)^3}{128 a^4 c^2 x}-\frac{(3 a d+7 b c) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{9/2} c^{5/2}}+\frac{\sqrt{a+b x} (c+d x)^{7/2} (3 a d+7 b c)}{40 a c^2 x^4}-\frac{(a+b x)^{3/2} (c+d x)^{7/2}}{5 a c x^5}",1,"((b*c - a*d)^3*(7*b*c + 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*a^4*c^2*x) - ((b*c - a*d)^2*(7*b*c + 3*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(192*a^3*c^2*x^2) + ((b*c - a*d)*(7*b*c + 3*a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(240*a^2*c^2*x^3) + ((7*b*c + 3*a*d)*Sqrt[a + b*x]*(c + d*x)^(7/2))/(40*a*c^2*x^4) - ((a + b*x)^(3/2)*(c + d*x)^(7/2))/(5*a*c*x^5) - ((b*c - a*d)^4*(7*b*c + 3*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(128*a^(9/2)*c^(5/2))","A",7,4,22,0.1818,1,"{96, 94, 93, 208}"
575,1,436,0,0.4688698,"\int \frac{\sqrt{a+b x} (c+d x)^{5/2}}{x^7} \, dx","Int[(Sqrt[a + b*x]*(c + d*x)^(5/2))/x^7,x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(262 a^2 b^2 c^2 d^2-20 a^3 b c d^3+25 a^4 d^4-308 a b^3 c^3 d+105 b^4 c^4\right)}{3840 a^4 c^2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(51 a^2 b c d^2+5 a^3 d^3-61 a b^2 c^2 d+21 b^3 c^3\right)}{960 a^3 c x^3}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-5 a^2 d^2-6 a b c d+3 b^2 c^2\right)}{160 a^2 x^4}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(838 a^2 b^3 c^3 d^2-90 a^3 b^2 c^2 d^3-65 a^4 b c d^4+75 a^5 d^5-945 a b^4 c^4 d+315 b^5 c^5\right)}{7680 a^5 c^3 x}+\frac{\left(5 a^2 d^2+14 a b c d+21 b^2 c^2\right) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{512 a^{11/2} c^{7/2}}-\frac{\sqrt{a+b x} (c+d x)^{5/2}}{6 x^6}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 a d+b c)}{60 a x^5}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(262 a^2 b^2 c^2 d^2-20 a^3 b c d^3+25 a^4 d^4-308 a b^3 c^3 d+105 b^4 c^4\right)}{3840 a^4 c^2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(51 a^2 b c d^2+5 a^3 d^3-61 a b^2 c^2 d+21 b^3 c^3\right)}{960 a^3 c x^3}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-5 a^2 d^2-6 a b c d+3 b^2 c^2\right)}{160 a^2 x^4}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(838 a^2 b^3 c^3 d^2-90 a^3 b^2 c^2 d^3-65 a^4 b c d^4+75 a^5 d^5-945 a b^4 c^4 d+315 b^5 c^5\right)}{7680 a^5 c^3 x}+\frac{\left(5 a^2 d^2+14 a b c d+21 b^2 c^2\right) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{512 a^{11/2} c^{7/2}}-\frac{\sqrt{a+b x} (c+d x)^{5/2}}{6 x^6}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 a d+b c)}{60 a x^5}",1,"((3*b^2*c^2 - 6*a*b*c*d - 5*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(160*a^2*x^4) - ((21*b^3*c^3 - 61*a*b^2*c^2*d + 51*a^2*b*c*d^2 + 5*a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(960*a^3*c*x^3) + ((105*b^4*c^4 - 308*a*b^3*c^3*d + 262*a^2*b^2*c^2*d^2 - 20*a^3*b*c*d^3 + 25*a^4*d^4)*Sqrt[a + b*x]*Sqrt[c + d*x])/(3840*a^4*c^2*x^2) - ((315*b^5*c^5 - 945*a*b^4*c^4*d + 838*a^2*b^3*c^3*d^2 - 90*a^3*b^2*c^2*d^3 - 65*a^4*b*c*d^4 + 75*a^5*d^5)*Sqrt[a + b*x]*Sqrt[c + d*x])/(7680*a^5*c^3*x) - ((b*c + 5*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(60*a*x^5) - (Sqrt[a + b*x]*(c + d*x)^(5/2))/(6*x^6) + ((b*c - a*d)^4*(21*b^2*c^2 + 14*a*b*c*d + 5*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(512*a^(11/2)*c^(7/2))","A",9,6,22,0.2727,1,"{97, 149, 151, 12, 93, 208}"
576,1,251,0,0.1699299,"\int \frac{x^3 \sqrt{a+b x}}{\sqrt{c+d x}} \, dx","Int[(x^3*Sqrt[a + b*x])/Sqrt[c + d*x],x]","\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(15 a^2 d^2-4 b d x (5 a d+7 b c)+22 a b c d+35 b^2 c^2\right)}{96 b^3 d^3}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(9 a^2 b c d^2+5 a^3 d^3+15 a b^2 c^2 d+35 b^3 c^3\right)}{64 b^3 d^4}+\frac{(b c-a d) \left(9 a^2 b c d^2+5 a^3 d^3+15 a b^2 c^2 d+35 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{7/2} d^{9/2}}+\frac{x^2 (a+b x)^{3/2} \sqrt{c+d x}}{4 b d}","\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(15 a^2 d^2-4 b d x (5 a d+7 b c)+22 a b c d+35 b^2 c^2\right)}{96 b^3 d^3}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(9 a^2 b c d^2+5 a^3 d^3+15 a b^2 c^2 d+35 b^3 c^3\right)}{64 b^3 d^4}+\frac{(b c-a d) \left(9 a^2 b c d^2+5 a^3 d^3+15 a b^2 c^2 d+35 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{7/2} d^{9/2}}+\frac{x^2 (a+b x)^{3/2} \sqrt{c+d x}}{4 b d}",1,"-((35*b^3*c^3 + 15*a*b^2*c^2*d + 9*a^2*b*c*d^2 + 5*a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b^3*d^4) + (x^2*(a + b*x)^(3/2)*Sqrt[c + d*x])/(4*b*d) + ((a + b*x)^(3/2)*Sqrt[c + d*x]*(35*b^2*c^2 + 22*a*b*c*d + 15*a^2*d^2 - 4*b*d*(7*b*c + 5*a*d)*x))/(96*b^3*d^3) + ((b*c - a*d)*(35*b^3*c^3 + 15*a*b^2*c^2*d + 9*a^2*b*c*d^2 + 5*a^3*d^3)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(7/2)*d^(9/2))","A",6,6,22,0.2727,1,"{100, 147, 50, 63, 217, 206}"
577,1,191,0,0.1636776,"\int \frac{x^2 \sqrt{a+b x}}{\sqrt{c+d x}} \, dx","Int[(x^2*Sqrt[a + b*x])/Sqrt[c + d*x],x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(a^2 d^2+2 a b c d+5 b^2 c^2\right)}{8 b^2 d^3}-\frac{(b c-a d) \left(a^2 d^2+2 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{5/2} d^{7/2}}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (3 a d+5 b c)}{12 b^2 d^2}+\frac{x (a+b x)^{3/2} \sqrt{c+d x}}{3 b d}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(a^2 d^2+2 a b c d+5 b^2 c^2\right)}{8 b^2 d^3}-\frac{(b c-a d) \left(a^2 d^2+2 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{5/2} d^{7/2}}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (3 a d+5 b c)}{12 b^2 d^2}+\frac{x (a+b x)^{3/2} \sqrt{c+d x}}{3 b d}",1,"((5*b^2*c^2 + 2*a*b*c*d + a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*b^2*d^3) - ((5*b*c + 3*a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(12*b^2*d^2) + (x*(a + b*x)^(3/2)*Sqrt[c + d*x])/(3*b*d) - ((b*c - a*d)*(5*b^2*c^2 + 2*a*b*c*d + a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(5/2)*d^(7/2))","A",6,6,22,0.2727,1,"{90, 80, 50, 63, 217, 206}"
578,1,125,0,0.0638791,"\int \frac{x \sqrt{a+b x}}{\sqrt{c+d x}} \, dx","Int[(x*Sqrt[a + b*x])/Sqrt[c + d*x],x]","\frac{(b c-a d) (a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{3/2} d^{5/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+3 b c)}{4 b d^2}+\frac{(a+b x)^{3/2} \sqrt{c+d x}}{2 b d}","\frac{(b c-a d) (a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{3/2} d^{5/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+3 b c)}{4 b d^2}+\frac{(a+b x)^{3/2} \sqrt{c+d x}}{2 b d}",1,"-((3*b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*b*d^2) + ((a + b*x)^(3/2)*Sqrt[c + d*x])/(2*b*d) + ((b*c - a*d)*(3*b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(3/2)*d^(5/2))","A",5,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
579,1,73,0,0.0371725,"\int \frac{\sqrt{a+b x}}{\sqrt{c+d x}} \, dx","Int[Sqrt[a + b*x]/Sqrt[c + d*x],x]","\frac{\sqrt{a+b x} \sqrt{c+d x}}{d}-\frac{(b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} d^{3/2}}","\frac{\sqrt{a+b x} \sqrt{c+d x}}{d}-\frac{(b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} d^{3/2}}",1,"(Sqrt[a + b*x]*Sqrt[c + d*x])/d - ((b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(Sqrt[b]*d^(3/2))","A",4,4,19,0.2105,1,"{50, 63, 217, 206}"
580,1,85,0,0.0499758,"\int \frac{\sqrt{a+b x}}{x \sqrt{c+d x}} \, dx","Int[Sqrt[a + b*x]/(x*Sqrt[c + d*x]),x]","\frac{2 \sqrt{b} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{d}}-\frac{2 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{c}}","\frac{2 \sqrt{b} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{d}}-\frac{2 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{c}}",1,"(-2*Sqrt[a]*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/Sqrt[c] + (2*Sqrt[b]*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/Sqrt[d]","A",6,6,22,0.2727,1,"{105, 63, 217, 206, 93, 208}"
581,1,77,0,0.0259657,"\int \frac{\sqrt{a+b x}}{x^2 \sqrt{c+d x}} \, dx","Int[Sqrt[a + b*x]/(x^2*Sqrt[c + d*x]),x]","-\frac{(b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a} c^{3/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{c x}","-\frac{(b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a} c^{3/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{c x}",1,"-((Sqrt[a + b*x]*Sqrt[c + d*x])/(c*x)) - ((b*c - a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(Sqrt[a]*c^(3/2))","A",3,3,22,0.1364,1,"{94, 93, 208}"
582,1,131,0,0.0539875,"\int \frac{\sqrt{a+b x}}{x^3 \sqrt{c+d x}} \, dx","Int[Sqrt[a + b*x]/(x^3*Sqrt[c + d*x]),x]","\frac{(b c-a d) (3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{3/2} c^{5/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+b c)}{4 a c^2 x}-\frac{(a+b x)^{3/2} \sqrt{c+d x}}{2 a c x^2}","\frac{(b c-a d) (3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{3/2} c^{5/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+b c)}{4 a c^2 x}-\frac{(a+b x)^{3/2} \sqrt{c+d x}}{2 a c x^2}",1,"((b*c + 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*a*c^2*x) - ((a + b*x)^(3/2)*Sqrt[c + d*x])/(2*a*c*x^2) + ((b*c - a*d)*(b*c + 3*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(3/2)*c^(5/2))","A",4,4,22,0.1818,1,"{96, 94, 93, 208}"
583,1,190,0,0.1362012,"\int \frac{\sqrt{a+b x}}{x^4 \sqrt{c+d x}} \, dx","Int[Sqrt[a + b*x]/(x^4*Sqrt[c + d*x]),x]","-\frac{(b c-a d) \left(5 a^2 d^2+2 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{5/2} c^{7/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (3 b c-5 a d) (3 a d+b c)}{24 a^2 c^3 x}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-5 a d)}{12 a c^2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{3 c x^3}","-\frac{(b c-a d) \left(5 a^2 d^2+2 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{5/2} c^{7/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (3 b c-5 a d) (3 a d+b c)}{24 a^2 c^3 x}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-5 a d)}{12 a c^2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{3 c x^3}",1,"-(Sqrt[a + b*x]*Sqrt[c + d*x])/(3*c*x^3) - ((b*c - 5*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(12*a*c^2*x^2) + ((3*b*c - 5*a*d)*(b*c + 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(24*a^2*c^3*x) - ((b*c - a*d)*(b^2*c^2 + 2*a*b*c*d + 5*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(5/2)*c^(7/2))","A",6,5,22,0.2273,1,"{99, 151, 12, 93, 208}"
584,1,279,0,0.2251774,"\int \frac{\sqrt{a+b x}}{x^5 \sqrt{c+d x}} \, dx","Int[Sqrt[a + b*x]/(x^5*Sqrt[c + d*x]),x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-35 a^2 d^2+6 a b c d+5 b^2 c^2\right)}{96 a^2 c^3 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(25 a^2 b c d^2-105 a^3 d^3+17 a b^2 c^2 d+15 b^3 c^3\right)}{192 a^3 c^4 x}+\frac{(b c-a d) \left(15 a^2 b c d^2+35 a^3 d^3+9 a b^2 c^2 d+5 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{7/2} c^{9/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-7 a d)}{24 a c^2 x^3}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{4 c x^4}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-35 a^2 d^2+6 a b c d+5 b^2 c^2\right)}{96 a^2 c^3 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(25 a^2 b c d^2-105 a^3 d^3+17 a b^2 c^2 d+15 b^3 c^3\right)}{192 a^3 c^4 x}+\frac{(b c-a d) \left(15 a^2 b c d^2+35 a^3 d^3+9 a b^2 c^2 d+5 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{7/2} c^{9/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-7 a d)}{24 a c^2 x^3}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{4 c x^4}",1,"-(Sqrt[a + b*x]*Sqrt[c + d*x])/(4*c*x^4) - ((b*c - 7*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(24*a*c^2*x^3) + ((5*b^2*c^2 + 6*a*b*c*d - 35*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(96*a^2*c^3*x^2) - ((15*b^3*c^3 + 17*a*b^2*c^2*d + 25*a^2*b*c*d^2 - 105*a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(192*a^3*c^4*x) + ((b*c - a*d)*(5*b^3*c^3 + 9*a*b^2*c^2*d + 15*a^2*b*c*d^2 + 35*a^3*d^3)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(7/2)*c^(9/2))","A",7,5,22,0.2273,1,"{99, 151, 12, 93, 208}"
585,1,189,0,0.1852415,"\int \frac{x^2 \sqrt{a+b x}}{(c+d x)^{3/2}} \, dx","Int[(x^2*Sqrt[a + b*x])/(c + d*x)^(3/2),x]","\frac{\left(-a^2 d^2-6 a b c d+15 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{3/2} d^{7/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(\frac{a^2 d}{b}+6 a c-\frac{15 b c^2}{d}\right)}{4 d^2 (b c-a d)}+\frac{2 c^2 (a+b x)^{3/2}}{d^2 \sqrt{c+d x} (b c-a d)}+\frac{(a+b x)^{3/2} \sqrt{c+d x}}{2 b d^2}","\frac{\left(-a^2 d^2-6 a b c d+15 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{3/2} d^{7/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(\frac{a^2 d}{b}+6 a c-\frac{15 b c^2}{d}\right)}{4 d^2 (b c-a d)}+\frac{2 c^2 (a+b x)^{3/2}}{d^2 \sqrt{c+d x} (b c-a d)}+\frac{(a+b x)^{3/2} \sqrt{c+d x}}{2 b d^2}",1,"(2*c^2*(a + b*x)^(3/2))/(d^2*(b*c - a*d)*Sqrt[c + d*x]) + ((6*a*c - (15*b*c^2)/d + (a^2*d)/b)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*d^2*(b*c - a*d)) + ((a + b*x)^(3/2)*Sqrt[c + d*x])/(2*b*d^2) + ((15*b^2*c^2 - 6*a*b*c*d - a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(3/2)*d^(7/2))","A",6,6,22,0.2727,1,"{89, 80, 50, 63, 217, 206}"
586,1,127,0,0.0656726,"\int \frac{x \sqrt{a+b x}}{(c+d x)^{3/2}} \, dx","Int[(x*Sqrt[a + b*x])/(c + d*x)^(3/2),x]","\frac{\sqrt{a+b x} \sqrt{c+d x} (3 b c-a d)}{d^2 (b c-a d)}-\frac{(3 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} d^{5/2}}-\frac{2 c (a+b x)^{3/2}}{d \sqrt{c+d x} (b c-a d)}","\frac{\sqrt{a+b x} \sqrt{c+d x} (3 b c-a d)}{d^2 (b c-a d)}-\frac{(3 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} d^{5/2}}-\frac{2 c (a+b x)^{3/2}}{d \sqrt{c+d x} (b c-a d)}",1,"(-2*c*(a + b*x)^(3/2))/(d*(b*c - a*d)*Sqrt[c + d*x]) + ((3*b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(d^2*(b*c - a*d)) - ((3*b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(Sqrt[b]*d^(5/2))","A",5,5,20,0.2500,1,"{78, 50, 63, 217, 206}"
587,1,66,0,0.0342988,"\int \frac{\sqrt{a+b x}}{(c+d x)^{3/2}} \, dx","Int[Sqrt[a + b*x]/(c + d*x)^(3/2),x]","\frac{2 \sqrt{b} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{3/2}}-\frac{2 \sqrt{a+b x}}{d \sqrt{c+d x}}","\frac{2 \sqrt{b} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{3/2}}-\frac{2 \sqrt{a+b x}}{d \sqrt{c+d x}}",1,"(-2*Sqrt[a + b*x])/(d*Sqrt[c + d*x]) + (2*Sqrt[b]*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/d^(3/2)","A",4,4,19,0.2105,1,"{47, 63, 217, 206}"
588,1,66,0,0.0233972,"\int \frac{\sqrt{a+b x}}{x (c+d x)^{3/2}} \, dx","Int[Sqrt[a + b*x]/(x*(c + d*x)^(3/2)),x]","\frac{2 \sqrt{a+b x}}{c \sqrt{c+d x}}-\frac{2 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{3/2}}","\frac{2 \sqrt{a+b x}}{c \sqrt{c+d x}}-\frac{2 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{3/2}}",1,"(2*Sqrt[a + b*x])/(c*Sqrt[c + d*x]) - (2*Sqrt[a]*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/c^(3/2)","A",3,3,22,0.1364,1,"{94, 93, 208}"
589,1,113,0,0.0500735,"\int \frac{\sqrt{a+b x}}{x^2 (c+d x)^{3/2}} \, dx","Int[Sqrt[a + b*x]/(x^2*(c + d*x)^(3/2)),x]","\frac{\sqrt{a+b x} (b c-3 a d)}{a c^2 \sqrt{c+d x}}-\frac{(b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a} c^{5/2}}-\frac{(a+b x)^{3/2}}{a c x \sqrt{c+d x}}","\frac{\sqrt{a+b x} (b c-3 a d)}{a c^2 \sqrt{c+d x}}-\frac{(b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a} c^{5/2}}-\frac{(a+b x)^{3/2}}{a c x \sqrt{c+d x}}",1,"((b*c - 3*a*d)*Sqrt[a + b*x])/(a*c^2*Sqrt[c + d*x]) - (a + b*x)^(3/2)/(a*c*x*Sqrt[c + d*x]) - ((b*c - 3*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(Sqrt[a]*c^(5/2))","A",4,4,22,0.1818,1,"{96, 94, 93, 208}"
590,1,171,0,0.132743,"\int \frac{\sqrt{a+b x}}{x^3 (c+d x)^{3/2}} \, dx","Int[Sqrt[a + b*x]/(x^3*(c + d*x)^(3/2)),x]","\frac{\left(-15 a^2 d^2+6 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{3/2} c^{7/2}}-\frac{d \sqrt{a+b x} (b c-15 a d)}{4 a c^3 \sqrt{c+d x}}-\frac{\sqrt{a+b x} (b c-5 a d)}{4 a c^2 x \sqrt{c+d x}}-\frac{\sqrt{a+b x}}{2 c x^2 \sqrt{c+d x}}","\frac{\left(-15 a^2 d^2+6 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{3/2} c^{7/2}}-\frac{d \sqrt{a+b x} (b c-15 a d)}{4 a c^3 \sqrt{c+d x}}-\frac{\sqrt{a+b x} (b c-5 a d)}{4 a c^2 x \sqrt{c+d x}}-\frac{\sqrt{a+b x}}{2 c x^2 \sqrt{c+d x}}",1,"-(d*(b*c - 15*a*d)*Sqrt[a + b*x])/(4*a*c^3*Sqrt[c + d*x]) - Sqrt[a + b*x]/(2*c*x^2*Sqrt[c + d*x]) - ((b*c - 5*a*d)*Sqrt[a + b*x])/(4*a*c^2*x*Sqrt[c + d*x]) + ((b^2*c^2 + 6*a*b*c*d - 15*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(3/2)*c^(7/2))","A",6,6,22,0.2727,1,"{99, 151, 152, 12, 93, 208}"
591,1,218,0,0.1874738,"\int \frac{x^3 \sqrt{a+b x}}{(c+d x)^{5/2}} \, dx","Int[(x^3*Sqrt[a + b*x])/(c + d*x)^(5/2),x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(3 a^2 d^2-2 b d x (35 b c-31 a d)-100 a b c d+105 b^2 c^2\right)}{12 b d^4 (b c-a d)}+\frac{\left(-a^2 d^2-10 a b c d+35 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{3/2} d^{9/2}}-\frac{2 x^2 \sqrt{a+b x} (7 b c-6 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)}-\frac{2 x^3 \sqrt{a+b x}}{3 d (c+d x)^{3/2}}","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(3 a^2 d^2-2 b d x (35 b c-31 a d)-100 a b c d+105 b^2 c^2\right)}{12 b d^4 (b c-a d)}+\frac{\left(-a^2 d^2-10 a b c d+35 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{3/2} d^{9/2}}-\frac{2 x^2 \sqrt{a+b x} (7 b c-6 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)}-\frac{2 x^3 \sqrt{a+b x}}{3 d (c+d x)^{3/2}}",1,"(-2*x^3*Sqrt[a + b*x])/(3*d*(c + d*x)^(3/2)) - (2*(7*b*c - 6*a*d)*x^2*Sqrt[a + b*x])/(3*d^2*(b*c - a*d)*Sqrt[c + d*x]) - (Sqrt[a + b*x]*Sqrt[c + d*x]*(105*b^2*c^2 - 100*a*b*c*d + 3*a^2*d^2 - 2*b*d*(35*b*c - 31*a*d)*x))/(12*b*d^4*(b*c - a*d)) + ((35*b^2*c^2 - 10*a*b*c*d - a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(3/2)*d^(9/2))","A",6,6,22,0.2727,1,"{97, 150, 147, 63, 217, 206}"
592,1,165,0,0.1613881,"\int \frac{x^2 \sqrt{a+b x}}{(c+d x)^{5/2}} \, dx","Int[(x^2*Sqrt[a + b*x])/(c + d*x)^(5/2),x]","\frac{2 c^2 (a+b x)^{3/2}}{3 d^2 (c+d x)^{3/2} (b c-a d)}-\frac{4 c (a+b x)^{3/2}}{d^2 \sqrt{c+d x} (b c-a d)}+\frac{\sqrt{a+b x} \sqrt{c+d x} (5 b c-a d)}{d^3 (b c-a d)}-\frac{(5 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} d^{7/2}}","\frac{2 c^2 (a+b x)^{3/2}}{3 d^2 (c+d x)^{3/2} (b c-a d)}-\frac{4 c (a+b x)^{3/2}}{d^2 \sqrt{c+d x} (b c-a d)}+\frac{\sqrt{a+b x} \sqrt{c+d x} (5 b c-a d)}{d^3 (b c-a d)}-\frac{(5 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} d^{7/2}}",1,"(2*c^2*(a + b*x)^(3/2))/(3*d^2*(b*c - a*d)*(c + d*x)^(3/2)) - (4*c*(a + b*x)^(3/2))/(d^2*(b*c - a*d)*Sqrt[c + d*x]) + ((5*b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(d^3*(b*c - a*d)) - ((5*b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(Sqrt[b]*d^(7/2))","A",6,6,22,0.2727,1,"{89, 78, 50, 63, 217, 206}"
593,1,102,0,0.0591293,"\int \frac{x \sqrt{a+b x}}{(c+d x)^{5/2}} \, dx","Int[(x*Sqrt[a + b*x])/(c + d*x)^(5/2),x]","-\frac{2 \sqrt{a+b x}}{d^2 \sqrt{c+d x}}+\frac{2 \sqrt{b} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{5/2}}-\frac{2 c (a+b x)^{3/2}}{3 d (c+d x)^{3/2} (b c-a d)}","-\frac{2 \sqrt{a+b x}}{d^2 \sqrt{c+d x}}+\frac{2 \sqrt{b} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{5/2}}-\frac{2 c (a+b x)^{3/2}}{3 d (c+d x)^{3/2} (b c-a d)}",1,"(-2*c*(a + b*x)^(3/2))/(3*d*(b*c - a*d)*(c + d*x)^(3/2)) - (2*Sqrt[a + b*x])/(d^2*Sqrt[c + d*x]) + (2*Sqrt[b]*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/d^(5/2)","A",5,5,20,0.2500,1,"{78, 47, 63, 217, 206}"
594,1,32,0,0.0032584,"\int \frac{\sqrt{a+b x}}{(c+d x)^{5/2}} \, dx","Int[Sqrt[a + b*x]/(c + d*x)^(5/2),x]","\frac{2 (a+b x)^{3/2}}{3 (c+d x)^{3/2} (b c-a d)}","\frac{2 (a+b x)^{3/2}}{3 (c+d x)^{3/2} (b c-a d)}",1,"(2*(a + b*x)^(3/2))/(3*(b*c - a*d)*(c + d*x)^(3/2))","A",1,1,19,0.05263,1,"{37}"
595,1,102,0,0.0450964,"\int \frac{\sqrt{a+b x}}{x (c+d x)^{5/2}} \, dx","Int[Sqrt[a + b*x]/(x*(c + d*x)^(5/2)),x]","\frac{2 \sqrt{a+b x}}{c^2 \sqrt{c+d x}}-\frac{2 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{5/2}}-\frac{2 d (a+b x)^{3/2}}{3 c (c+d x)^{3/2} (b c-a d)}","\frac{2 \sqrt{a+b x}}{c^2 \sqrt{c+d x}}-\frac{2 \sqrt{a} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{5/2}}-\frac{2 d (a+b x)^{3/2}}{3 c (c+d x)^{3/2} (b c-a d)}",1,"(-2*d*(a + b*x)^(3/2))/(3*c*(b*c - a*d)*(c + d*x)^(3/2)) + (2*Sqrt[a + b*x])/(c^2*Sqrt[c + d*x]) - (2*Sqrt[a]*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/c^(5/2)","A",4,4,22,0.1818,1,"{96, 94, 93, 208}"
596,1,148,0,0.1327177,"\int \frac{\sqrt{a+b x}}{x^2 (c+d x)^{5/2}} \, dx","Int[Sqrt[a + b*x]/(x^2*(c + d*x)^(5/2)),x]","-\frac{d \sqrt{a+b x} (13 b c-15 a d)}{3 c^3 \sqrt{c+d x} (b c-a d)}-\frac{5 d \sqrt{a+b x}}{3 c^2 (c+d x)^{3/2}}-\frac{(b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a} c^{7/2}}-\frac{\sqrt{a+b x}}{c x (c+d x)^{3/2}}","-\frac{d \sqrt{a+b x} (13 b c-15 a d)}{3 c^3 \sqrt{c+d x} (b c-a d)}-\frac{5 d \sqrt{a+b x}}{3 c^2 (c+d x)^{3/2}}-\frac{(b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a} c^{7/2}}-\frac{\sqrt{a+b x}}{c x (c+d x)^{3/2}}",1,"(-5*d*Sqrt[a + b*x])/(3*c^2*(c + d*x)^(3/2)) - Sqrt[a + b*x]/(c*x*(c + d*x)^(3/2)) - (d*(13*b*c - 15*a*d)*Sqrt[a + b*x])/(3*c^3*(b*c - a*d)*Sqrt[c + d*x]) - ((b*c - 5*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(Sqrt[a]*c^(7/2))","A",6,5,22,0.2273,1,"{99, 152, 12, 93, 208}"
597,1,234,0,0.2217399,"\int \frac{\sqrt{a+b x}}{x^3 (c+d x)^{5/2}} \, dx","Int[Sqrt[a + b*x]/(x^3*(c + d*x)^(5/2)),x]","-\frac{d \sqrt{a+b x} \left(105 a^2 d^2-100 a b c d+3 b^2 c^2\right)}{12 a c^4 \sqrt{c+d x} (b c-a d)}+\frac{\left(-35 a^2 d^2+10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{3/2} c^{9/2}}-\frac{d \sqrt{a+b x} (3 b c-35 a d)}{12 a c^3 (c+d x)^{3/2}}-\frac{\sqrt{a+b x} (b c-7 a d)}{4 a c^2 x (c+d x)^{3/2}}-\frac{\sqrt{a+b x}}{2 c x^2 (c+d x)^{3/2}}","-\frac{d \sqrt{a+b x} \left(105 a^2 d^2-100 a b c d+3 b^2 c^2\right)}{12 a c^4 \sqrt{c+d x} (b c-a d)}+\frac{\left(-35 a^2 d^2+10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{3/2} c^{9/2}}-\frac{d \sqrt{a+b x} (3 b c-35 a d)}{12 a c^3 (c+d x)^{3/2}}-\frac{\sqrt{a+b x} (b c-7 a d)}{4 a c^2 x (c+d x)^{3/2}}-\frac{\sqrt{a+b x}}{2 c x^2 (c+d x)^{3/2}}",1,"-(d*(3*b*c - 35*a*d)*Sqrt[a + b*x])/(12*a*c^3*(c + d*x)^(3/2)) - Sqrt[a + b*x]/(2*c*x^2*(c + d*x)^(3/2)) - ((b*c - 7*a*d)*Sqrt[a + b*x])/(4*a*c^2*x*(c + d*x)^(3/2)) - (d*(3*b^2*c^2 - 100*a*b*c*d + 105*a^2*d^2)*Sqrt[a + b*x])/(12*a*c^4*(b*c - a*d)*Sqrt[c + d*x]) + ((b^2*c^2 + 10*a*b*c*d - 35*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(3/2)*c^(9/2))","A",7,6,22,0.2727,1,"{99, 151, 152, 12, 93, 208}"
598,1,315,0,0.3081603,"\int x^2 (a+b x)^{3/2} \sqrt{c+d x} \, dx","Int[x^2*(a + b*x)^(3/2)*Sqrt[c + d*x],x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(3 a^2 d^2+6 a b c d+7 b^2 c^2\right) (b c-a d)^2}{128 b^3 d^4}+\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(3 a^2 d^2+6 a b c d+7 b^2 c^2\right) (b c-a d)}{192 b^3 d^3}+\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(3 a^2 d^2+6 a b c d+7 b^2 c^2\right)}{48 b^3 d^2}+\frac{\left(3 a^2 d^2+6 a b c d+7 b^2 c^2\right) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{7/2} d^{9/2}}-\frac{(a+b x)^{5/2} (c+d x)^{3/2} (5 a d+7 b c)}{40 b^2 d^2}+\frac{x (a+b x)^{5/2} (c+d x)^{3/2}}{5 b d}","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(3 a^2 d^2+6 a b c d+7 b^2 c^2\right) (b c-a d)^2}{128 b^3 d^4}+\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(3 a^2 d^2+6 a b c d+7 b^2 c^2\right) (b c-a d)}{192 b^3 d^3}+\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(3 a^2 d^2+6 a b c d+7 b^2 c^2\right)}{48 b^3 d^2}+\frac{\left(3 a^2 d^2+6 a b c d+7 b^2 c^2\right) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{7/2} d^{9/2}}-\frac{(a+b x)^{5/2} (c+d x)^{3/2} (5 a d+7 b c)}{40 b^2 d^2}+\frac{x (a+b x)^{5/2} (c+d x)^{3/2}}{5 b d}",1,"-((b*c - a*d)^2*(7*b^2*c^2 + 6*a*b*c*d + 3*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*b^3*d^4) + ((b*c - a*d)*(7*b^2*c^2 + 6*a*b*c*d + 3*a^2*d^2)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(192*b^3*d^3) + ((7*b^2*c^2 + 6*a*b*c*d + 3*a^2*d^2)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(48*b^3*d^2) - ((7*b*c + 5*a*d)*(a + b*x)^(5/2)*(c + d*x)^(3/2))/(40*b^2*d^2) + (x*(a + b*x)^(5/2)*(c + d*x)^(3/2))/(5*b*d) + ((b*c - a*d)^3*(7*b^2*c^2 + 6*a*b*c*d + 3*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(128*b^(7/2)*d^(9/2))","A",8,6,22,0.2727,1,"{90, 80, 50, 63, 217, 206}"
599,1,221,0,0.1252514,"\int x (a+b x)^{3/2} \sqrt{c+d x} \, dx","Int[x*(a + b*x)^(3/2)*Sqrt[c + d*x],x]","\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+5 b c) (b c-a d)^2}{64 b^2 d^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (3 a d+5 b c) (b c-a d)}{96 b^2 d^2}-\frac{(3 a d+5 b c) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{5/2} d^{7/2}}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (3 a d+5 b c)}{24 b^2 d}+\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{4 b d}","\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+5 b c) (b c-a d)^2}{64 b^2 d^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (3 a d+5 b c) (b c-a d)}{96 b^2 d^2}-\frac{(3 a d+5 b c) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{5/2} d^{7/2}}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (3 a d+5 b c)}{24 b^2 d}+\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{4 b d}",1,"((b*c - a*d)^2*(5*b*c + 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b^2*d^3) - ((b*c - a*d)*(5*b*c + 3*a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(96*b^2*d^2) - ((5*b*c + 3*a*d)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(24*b^2*d) + ((a + b*x)^(5/2)*(c + d*x)^(3/2))/(4*b*d) - ((b*c - a*d)^3*(5*b*c + 3*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(5/2)*d^(7/2))","A",7,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
600,1,154,0,0.0740076,"\int (a+b x)^{3/2} \sqrt{c+d x} \, dx","Int[(a + b*x)^(3/2)*Sqrt[c + d*x],x]","\frac{(b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{3/2} d^{5/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 b d^2}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (b c-a d)}{12 b d}+\frac{(a+b x)^{5/2} \sqrt{c+d x}}{3 b}","\frac{(b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{3/2} d^{5/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 b d^2}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (b c-a d)}{12 b d}+\frac{(a+b x)^{5/2} \sqrt{c+d x}}{3 b}",1,"-((b*c - a*d)^2*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*b*d^2) + ((b*c - a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(12*b*d) + ((a + b*x)^(5/2)*Sqrt[c + d*x])/(3*b) + ((b*c - a*d)^3*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(3/2)*d^(5/2))","A",6,4,19,0.2105,1,"{50, 63, 217, 206}"
601,1,164,0,0.1328891,"\int \frac{(a+b x)^{3/2} \sqrt{c+d x}}{x} \, dx","Int[((a + b*x)^(3/2)*Sqrt[c + d*x])/x,x]","-\frac{\left(-3 a^2 d^2-6 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 \sqrt{b} d^{3/2}}-2 a^{3/2} \sqrt{c} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{1}{2} (a+b x)^{3/2} \sqrt{c+d x}+\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+b c)}{4 d}","-\frac{\left(-3 a^2 d^2-6 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 \sqrt{b} d^{3/2}}-2 a^{3/2} \sqrt{c} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{1}{2} (a+b x)^{3/2} \sqrt{c+d x}+\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+b c)}{4 d}",1,"((b*c + 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*d) + ((a + b*x)^(3/2)*Sqrt[c + d*x])/2 - 2*a^(3/2)*Sqrt[c]*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])] - ((b^2*c^2 - 6*a*b*c*d - 3*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*Sqrt[b]*d^(3/2))","A",8,8,22,0.3636,1,"{101, 154, 157, 63, 217, 206, 93, 208}"
602,1,144,0,0.1127821,"\int \frac{(a+b x)^{3/2} \sqrt{c+d x}}{x^2} \, dx","Int[((a + b*x)^(3/2)*Sqrt[c + d*x])/x^2,x]","-\frac{(a+b x)^{3/2} \sqrt{c+d x}}{x}+2 b \sqrt{a+b x} \sqrt{c+d x}-\frac{\sqrt{a} (a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{c}}+\frac{\sqrt{b} (3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{d}}","-\frac{(a+b x)^{3/2} \sqrt{c+d x}}{x}+2 b \sqrt{a+b x} \sqrt{c+d x}-\frac{\sqrt{a} (a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{c}}+\frac{\sqrt{b} (3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{d}}",1,"2*b*Sqrt[a + b*x]*Sqrt[c + d*x] - ((a + b*x)^(3/2)*Sqrt[c + d*x])/x - (Sqrt[a]*(3*b*c + a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/Sqrt[c] + (Sqrt[b]*(b*c + 3*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/Sqrt[d]","A",8,8,22,0.3636,1,"{97, 154, 157, 63, 217, 206, 93, 208}"
603,1,171,0,0.105918,"\int \frac{(a+b x)^{3/2} \sqrt{c+d x}}{x^3} \, dx","Int[((a + b*x)^(3/2)*Sqrt[c + d*x])/x^3,x]","-\frac{\left(-a^2 d^2+6 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 \sqrt{a} c^{3/2}}+2 b^{3/2} \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{(a+b x)^{3/2} \sqrt{c+d x}}{2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+3 b c)}{4 c x}","-\frac{\left(-a^2 d^2+6 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 \sqrt{a} c^{3/2}}+2 b^{3/2} \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{(a+b x)^{3/2} \sqrt{c+d x}}{2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+3 b c)}{4 c x}",1,"-((3*b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*c*x) - ((a + b*x)^(3/2)*Sqrt[c + d*x])/(2*x^2) - ((3*b^2*c^2 + 6*a*b*c*d - a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*Sqrt[a]*c^(3/2)) + 2*b^(3/2)*Sqrt[d]*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])]","A",8,8,22,0.3636,1,"{97, 149, 157, 63, 217, 206, 93, 208}"
604,1,160,0,0.0708898,"\int \frac{(a+b x)^{3/2} \sqrt{c+d x}}{x^4} \, dx","Int[((a + b*x)^(3/2)*Sqrt[c + d*x])/x^4,x]","\frac{(b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{3/2} c^{5/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}{4 c^2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 a c^2 x}-\frac{(a+b x)^{3/2} (c+d x)^{3/2}}{3 c x^3}","\frac{(b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{3/2} c^{5/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}{4 c^2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 a c^2 x}-\frac{(a+b x)^{3/2} (c+d x)^{3/2}}{3 c x^3}",1,"-((b*c - a*d)^2*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*a*c^2*x) - ((b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(4*c^2*x^2) - ((a + b*x)^(3/2)*(c + d*x)^(3/2))/(3*c*x^3) + ((b*c - a*d)^3*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(3/2)*c^(5/2))","A",5,3,22,0.1364,1,"{94, 93, 208}"
605,1,233,0,0.1151544,"\int \frac{(a+b x)^{3/2} \sqrt{c+d x}}{x^5} \, dx","Int[((a + b*x)^(3/2)*Sqrt[c + d*x])/x^5,x]","\frac{\sqrt{a+b x} \sqrt{c+d x} (5 a d+3 b c) (b c-a d)^2}{64 a^2 c^3 x}-\frac{(5 a d+3 b c) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{5/2} c^{7/2}}+\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 a d+3 b c) (b c-a d)}{32 a c^3 x^2}+\frac{(a+b x)^{3/2} (c+d x)^{3/2} (5 a d+3 b c)}{24 a c^2 x^3}-\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{4 a c x^4}","\frac{\sqrt{a+b x} \sqrt{c+d x} (5 a d+3 b c) (b c-a d)^2}{64 a^2 c^3 x}-\frac{(5 a d+3 b c) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{5/2} c^{7/2}}+\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 a d+3 b c) (b c-a d)}{32 a c^3 x^2}+\frac{(a+b x)^{3/2} (c+d x)^{3/2} (5 a d+3 b c)}{24 a c^2 x^3}-\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{4 a c x^4}",1,"((b*c - a*d)^2*(3*b*c + 5*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*a^2*c^3*x) + ((b*c - a*d)*(3*b*c + 5*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(32*a*c^3*x^2) + ((3*b*c + 5*a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(24*a*c^2*x^3) - ((a + b*x)^(5/2)*(c + d*x)^(3/2))/(4*a*c*x^4) - ((b*c - a*d)^3*(3*b*c + 5*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(5/2)*c^(7/2))","A",6,4,22,0.1818,1,"{96, 94, 93, 208}"
606,1,340,0,0.3197245,"\int \frac{(a+b x)^{3/2} \sqrt{c+d x}}{x^6} \, dx","Int[((a + b*x)^(3/2)*Sqrt[c + d*x])/x^6,x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(61 a^2 b c d^2-35 a^3 d^3-9 a b^2 c^2 d+15 b^3 c^3\right)}{960 a^2 c^3 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-36 a^2 b^2 c^2 d^2+190 a^3 b c d^3-105 a^4 d^4-30 a b^3 c^3 d+45 b^4 c^4\right)}{1920 a^3 c^4 x}+\frac{\left(7 a^2 d^2+6 a b c d+3 b^2 c^2\right) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{7/2} c^{9/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(\frac{3 b^2 c}{a}-\frac{7 a d^2}{c}+12 b d\right)}{240 c x^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x}}{5 x^5}-\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+3 b c)}{40 c x^4}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(61 a^2 b c d^2-35 a^3 d^3-9 a b^2 c^2 d+15 b^3 c^3\right)}{960 a^2 c^3 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-36 a^2 b^2 c^2 d^2+190 a^3 b c d^3-105 a^4 d^4-30 a b^3 c^3 d+45 b^4 c^4\right)}{1920 a^3 c^4 x}+\frac{\left(7 a^2 d^2+6 a b c d+3 b^2 c^2\right) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{7/2} c^{9/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(\frac{3 b^2 c}{a}-\frac{7 a d^2}{c}+12 b d\right)}{240 c x^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x}}{5 x^5}-\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+3 b c)}{40 c x^4}",1,"-((3*b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(40*c*x^4) - (((3*b^2*c)/a + 12*b*d - (7*a*d^2)/c)*Sqrt[a + b*x]*Sqrt[c + d*x])/(240*c*x^3) + ((15*b^3*c^3 - 9*a*b^2*c^2*d + 61*a^2*b*c*d^2 - 35*a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(960*a^2*c^3*x^2) - ((45*b^4*c^4 - 30*a*b^3*c^3*d - 36*a^2*b^2*c^2*d^2 + 190*a^3*b*c*d^3 - 105*a^4*d^4)*Sqrt[a + b*x]*Sqrt[c + d*x])/(1920*a^3*c^4*x) - ((a + b*x)^(3/2)*Sqrt[c + d*x])/(5*x^5) + ((b*c - a*d)^3*(3*b^2*c^2 + 6*a*b*c*d + 7*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(128*a^(7/2)*c^(9/2))","A",8,6,22,0.2727,1,"{97, 149, 151, 12, 93, 208}"
607,1,349,0,0.3065791,"\int x^2 (a+b x)^{3/2} (c+d x)^{3/2} \, dx","Int[x^2*(a + b*x)^(3/2)*(c + d*x)^(3/2),x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(4 a b c d-7 (a d+b c)^2\right) (b c-a d)^3}{512 b^4 d^4}-\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(4 a b c d-7 (a d+b c)^2\right) (b c-a d)^2}{768 b^4 d^3}-\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(4 a b c d-7 (a d+b c)^2\right) (b c-a d)}{192 b^4 d^2}-\frac{7 (a+b x)^{5/2} (c+d x)^{5/2} (a d+b c)}{60 b^2 d^2}-\frac{(a+b x)^{5/2} (c+d x)^{3/2} \left(4 a b c d-7 (a d+b c)^2\right)}{96 b^3 d^2}-\frac{\left(4 a b c d-7 (a d+b c)^2\right) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{512 b^{9/2} d^{9/2}}+\frac{x (a+b x)^{5/2} (c+d x)^{5/2}}{6 b d}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(4 a b c d-7 (a d+b c)^2\right) (b c-a d)^3}{512 b^4 d^4}-\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(4 a b c d-7 (a d+b c)^2\right) (b c-a d)^2}{768 b^4 d^3}-\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(4 a b c d-7 (a d+b c)^2\right) (b c-a d)}{192 b^4 d^2}-\frac{7 (a+b x)^{5/2} (c+d x)^{5/2} (a d+b c)}{60 b^2 d^2}-\frac{(a+b x)^{5/2} (c+d x)^{3/2} \left(4 a b c d-7 (a d+b c)^2\right)}{96 b^3 d^2}-\frac{\left(4 a b c d-7 (a d+b c)^2\right) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{512 b^{9/2} d^{9/2}}+\frac{x (a+b x)^{5/2} (c+d x)^{5/2}}{6 b d}",1,"((b*c - a*d)^3*(4*a*b*c*d - 7*(b*c + a*d)^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(512*b^4*d^4) - ((b*c - a*d)^2*(4*a*b*c*d - 7*(b*c + a*d)^2)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(768*b^4*d^3) - ((b*c - a*d)*(4*a*b*c*d - 7*(b*c + a*d)^2)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(192*b^4*d^2) - ((4*a*b*c*d - 7*(b*c + a*d)^2)*(a + b*x)^(5/2)*(c + d*x)^(3/2))/(96*b^3*d^2) - (7*(b*c + a*d)*(a + b*x)^(5/2)*(c + d*x)^(5/2))/(60*b^2*d^2) + (x*(a + b*x)^(5/2)*(c + d*x)^(5/2))/(6*b*d) - ((b*c - a*d)^4*(4*a*b*c*d - 7*(b*c + a*d)^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(512*b^(9/2)*d^(9/2))","A",9,6,22,0.2727,1,"{90, 80, 50, 63, 217, 206}"
608,1,258,0,0.1546674,"\int x (a+b x)^{3/2} (c+d x)^{3/2} \, dx","Int[x*(a + b*x)^(3/2)*(c + d*x)^(3/2),x]","\frac{3 \sqrt{a+b x} \sqrt{c+d x} (a d+b c) (b c-a d)^3}{128 b^3 d^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (a d+b c) (b c-a d)^2}{64 b^3 d^2}-\frac{3 (a d+b c) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{7/2} d^{7/2}}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (a d+b c) (b c-a d)}{16 b^3 d}-\frac{(a+b x)^{5/2} (c+d x)^{3/2} (a d+b c)}{8 b^2 d}+\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{5 b d}","\frac{3 \sqrt{a+b x} \sqrt{c+d x} (a d+b c) (b c-a d)^3}{128 b^3 d^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (a d+b c) (b c-a d)^2}{64 b^3 d^2}-\frac{3 (a d+b c) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{7/2} d^{7/2}}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (a d+b c) (b c-a d)}{16 b^3 d}-\frac{(a+b x)^{5/2} (c+d x)^{3/2} (a d+b c)}{8 b^2 d}+\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{5 b d}",1,"(3*(b*c - a*d)^3*(b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*b^3*d^3) - ((b*c - a*d)^2*(b*c + a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(64*b^3*d^2) - ((b*c - a*d)*(b*c + a*d)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(16*b^3*d) - ((b*c + a*d)*(a + b*x)^(5/2)*(c + d*x)^(3/2))/(8*b^2*d) + ((a + b*x)^(5/2)*(c + d*x)^(5/2))/(5*b*d) - (3*(b*c - a*d)^4*(b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(128*b^(7/2)*d^(7/2))","A",8,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
609,1,189,0,0.0952715,"\int (a+b x)^{3/2} (c+d x)^{3/2} \, dx","Int[(a + b*x)^(3/2)*(c + d*x)^(3/2),x]","-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^3}{64 b^2 d^2}+\frac{3 (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{5/2} d^{5/2}}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (b c-a d)^2}{32 b^2 d}+\frac{(a+b x)^{5/2} \sqrt{c+d x} (b c-a d)}{8 b^2}+\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{4 b}","-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^3}{64 b^2 d^2}+\frac{3 (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{5/2} d^{5/2}}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (b c-a d)^2}{32 b^2 d}+\frac{(a+b x)^{5/2} \sqrt{c+d x} (b c-a d)}{8 b^2}+\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{4 b}",1,"(-3*(b*c - a*d)^3*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b^2*d^2) + ((b*c - a*d)^2*(a + b*x)^(3/2)*Sqrt[c + d*x])/(32*b^2*d) + ((b*c - a*d)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(8*b^2) + ((a + b*x)^(5/2)*(c + d*x)^(3/2))/(4*b) + (3*(b*c - a*d)^4*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(5/2)*d^(5/2))","A",7,4,19,0.2105,1,"{50, 63, 217, 206}"
610,1,213,0,0.1975451,"\int \frac{(a+b x)^{3/2} (c+d x)^{3/2}}{x} \, dx","Int[((a + b*x)^(3/2)*(c + d*x)^(3/2))/x,x]","-\frac{(a d+b c) \left(a^2 d^2-10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{3/2} d^{3/2}}+\frac{1}{8} \sqrt{a+b x} \sqrt{c+d x} \left(\frac{a^2 d}{b}+8 a c-\frac{b c^2}{d}\right)-2 a^{3/2} c^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{1}{3} (a+b x)^{3/2} (c+d x)^{3/2}+\frac{\sqrt{a+b x} (c+d x)^{3/2} (a d+b c)}{4 d}","-\frac{(a d+b c) \left(a^2 d^2-10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{3/2} d^{3/2}}+\frac{1}{8} \sqrt{a+b x} \sqrt{c+d x} \left(\frac{a^2 d}{b}+8 a c-\frac{b c^2}{d}\right)-2 a^{3/2} c^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{1}{3} (a+b x)^{3/2} (c+d x)^{3/2}+\frac{\sqrt{a+b x} (c+d x)^{3/2} (a d+b c)}{4 d}",1,"((8*a*c - (b*c^2)/d + (a^2*d)/b)*Sqrt[a + b*x]*Sqrt[c + d*x])/8 + ((b*c + a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(4*d) + ((a + b*x)^(3/2)*(c + d*x)^(3/2))/3 - 2*a^(3/2)*c^(3/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])] - ((b*c + a*d)*(b^2*c^2 - 10*a*b*c*d + a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(3/2)*d^(3/2))","A",9,8,22,0.3636,1,"{101, 154, 157, 63, 217, 206, 93, 208}"
611,1,191,0,0.1887876,"\int \frac{(a+b x)^{3/2} (c+d x)^{3/2}}{x^2} \, dx","Int[((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^2,x]","\frac{3 \left(a^2 d^2+6 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 \sqrt{b} \sqrt{d}}-\frac{(a+b x)^{3/2} (c+d x)^{3/2}}{x}+\frac{3}{2} b \sqrt{a+b x} (c+d x)^{3/2}+\frac{3}{4} \sqrt{a+b x} \sqrt{c+d x} (3 a d+b c)-3 \sqrt{a} \sqrt{c} (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)","\frac{3 \left(a^2 d^2+6 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 \sqrt{b} \sqrt{d}}-\frac{(a+b x)^{3/2} (c+d x)^{3/2}}{x}+\frac{3}{2} b \sqrt{a+b x} (c+d x)^{3/2}+\frac{3}{4} \sqrt{a+b x} \sqrt{c+d x} (3 a d+b c)-3 \sqrt{a} \sqrt{c} (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)",1,"(3*(b*c + 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/4 + (3*b*Sqrt[a + b*x]*(c + d*x)^(3/2))/2 - ((a + b*x)^(3/2)*(c + d*x)^(3/2))/x - 3*Sqrt[a]*Sqrt[c]*(b*c + a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])] + (3*(b^2*c^2 + 6*a*b*c*d + a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*Sqrt[b]*Sqrt[d])","A",9,8,22,0.3636,1,"{97, 154, 157, 63, 217, 206, 93, 208}"
612,1,209,0,0.1829667,"\int \frac{(a+b x)^{3/2} (c+d x)^{3/2}}{x^3} \, dx","Int[((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^3,x]","-\frac{3 \left(a^2 d^2+6 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 \sqrt{a} \sqrt{c}}-\frac{(a+b x)^{3/2} (c+d x)^{3/2}}{2 x^2}-\frac{3 \sqrt{a+b x} (c+d x)^{3/2} (a d+b c)}{4 c x}+\frac{3 d \sqrt{a+b x} \sqrt{c+d x} (a d+3 b c)}{4 c}+3 \sqrt{b} \sqrt{d} (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)","-\frac{3 \left(a^2 d^2+6 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 \sqrt{a} \sqrt{c}}-\frac{(a+b x)^{3/2} (c+d x)^{3/2}}{2 x^2}-\frac{3 \sqrt{a+b x} (c+d x)^{3/2} (a d+b c)}{4 c x}+\frac{3 d \sqrt{a+b x} \sqrt{c+d x} (a d+3 b c)}{4 c}+3 \sqrt{b} \sqrt{d} (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)",1,"(3*d*(3*b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*c) - (3*(b*c + a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(4*c*x) - ((a + b*x)^(3/2)*(c + d*x)^(3/2))/(2*x^2) - (3*(b^2*c^2 + 6*a*b*c*d + a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*Sqrt[a]*Sqrt[c]) + 3*Sqrt[b]*Sqrt[d]*(b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])]","A",9,9,22,0.4091,1,"{97, 149, 154, 157, 63, 217, 206, 93, 208}"
613,1,222,0,0.189059,"\int \frac{(a+b x)^{3/2} (c+d x)^{3/2}}{x^4} \, dx","Int[((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^4,x]","\frac{(a d+b c) \left(a^2 d^2-10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{3/2} c^{3/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(\frac{b^2 c}{a}-\frac{a d^2}{c}+8 b d\right)}{8 x}+2 b^{3/2} d^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{(a+b x)^{3/2} (c+d x)^{3/2}}{3 x^3}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (a d+b c)}{4 c x^2}","\frac{(a d+b c) \left(a^2 d^2-10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{3/2} c^{3/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(\frac{b^2 c}{a}-\frac{a d^2}{c}+8 b d\right)}{8 x}+2 b^{3/2} d^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{(a+b x)^{3/2} (c+d x)^{3/2}}{3 x^3}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (a d+b c)}{4 c x^2}",1,"-(((b^2*c)/a + 8*b*d - (a*d^2)/c)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*x) - ((b*c + a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(4*c*x^2) - ((a + b*x)^(3/2)*(c + d*x)^(3/2))/(3*x^3) + ((b*c + a*d)*(b^2*c^2 - 10*a*b*c*d + a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(3/2)*c^(3/2)) + 2*b^(3/2)*d^(3/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])]","A",9,8,22,0.3636,1,"{97, 149, 157, 63, 217, 206, 93, 208}"
614,1,201,0,0.0989714,"\int \frac{(a+b x)^{3/2} (c+d x)^{3/2}}{x^5} \, dx","Int[((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^5,x]","\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^3}{64 a^2 c^2 x}-\frac{3 (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{5/2} c^{5/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}{32 a c^2 x^2}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (b c-a d)}{8 c^2 x^3}-\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{4 c x^4}","\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^3}{64 a^2 c^2 x}-\frac{3 (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{5/2} c^{5/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}{32 a c^2 x^2}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (b c-a d)}{8 c^2 x^3}-\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{4 c x^4}",1,"(3*(b*c - a*d)^3*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*a^2*c^2*x) - ((b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(3/2))/(32*a*c^2*x^2) - ((b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(8*c^2*x^3) - ((a + b*x)^(3/2)*(c + d*x)^(5/2))/(4*c*x^4) - (3*(b*c - a*d)^4*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(5/2)*c^(5/2))","A",6,3,22,0.1364,1,"{94, 93, 208}"
615,1,273,0,0.1499515,"\int \frac{(a+b x)^{3/2} (c+d x)^{3/2}}{x^6} \, dx","Int[((a + b*x)^(3/2)*(c + d*x)^(3/2))/x^6,x]","\frac{\sqrt{a+b x} (c+d x)^{3/2} (a d+b c) (b c-a d)^2}{64 a^2 c^3 x^2}-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (a d+b c) (b c-a d)^3}{128 a^3 c^3 x}+\frac{3 (a d+b c) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{7/2} c^{7/2}}+\frac{\sqrt{a+b x} (c+d x)^{5/2} (a d+b c) (b c-a d)}{16 a c^3 x^3}+\frac{(a+b x)^{3/2} (c+d x)^{5/2} (a d+b c)}{8 a c^2 x^4}-\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{5 a c x^5}","\frac{\sqrt{a+b x} (c+d x)^{3/2} (a d+b c) (b c-a d)^2}{64 a^2 c^3 x^2}-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (a d+b c) (b c-a d)^3}{128 a^3 c^3 x}+\frac{3 (a d+b c) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{7/2} c^{7/2}}+\frac{\sqrt{a+b x} (c+d x)^{5/2} (a d+b c) (b c-a d)}{16 a c^3 x^3}+\frac{(a+b x)^{3/2} (c+d x)^{5/2} (a d+b c)}{8 a c^2 x^4}-\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{5 a c x^5}",1,"(-3*(b*c - a*d)^3*(b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*a^3*c^3*x) + ((b*c - a*d)^2*(b*c + a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(64*a^2*c^3*x^2) + ((b*c - a*d)*(b*c + a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(16*a*c^3*x^3) + ((b*c + a*d)*(a + b*x)^(3/2)*(c + d*x)^(5/2))/(8*a*c^2*x^4) - ((a + b*x)^(5/2)*(c + d*x)^(5/2))/(5*a*c*x^5) + (3*(b*c - a*d)^4*(b*c + a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(128*a^(7/2)*c^(7/2))","A",7,4,22,0.1818,1,"{96, 94, 93, 208}"
616,1,437,0,0.4303725,"\int x^2 (a+b x)^{3/2} (c+d x)^{5/2} \, dx","Int[x^2*(a + b*x)^(3/2)*(c + d*x)^(5/2),x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(9 a^2 d^2+10 a b c d+5 b^2 c^2\right) (b c-a d)^4}{1024 b^5 d^4}+\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(9 a^2 d^2+10 a b c d+5 b^2 c^2\right) (b c-a d)^3}{1536 b^5 d^3}+\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(9 a^2 d^2+10 a b c d+5 b^2 c^2\right) (b c-a d)^2}{384 b^5 d^2}+\frac{(a+b x)^{5/2} (c+d x)^{3/2} \left(9 a^2 d^2+10 a b c d+5 b^2 c^2\right) (b c-a d)}{192 b^4 d^2}+\frac{(a+b x)^{5/2} (c+d x)^{5/2} \left(9 a^2 d^2+10 a b c d+5 b^2 c^2\right)}{120 b^3 d^2}+\frac{\left(9 a^2 d^2+10 a b c d+5 b^2 c^2\right) (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{1024 b^{11/2} d^{9/2}}-\frac{(a+b x)^{5/2} (c+d x)^{7/2} (9 a d+7 b c)}{84 b^2 d^2}+\frac{x (a+b x)^{5/2} (c+d x)^{7/2}}{7 b d}","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(9 a^2 d^2+10 a b c d+5 b^2 c^2\right) (b c-a d)^4}{1024 b^5 d^4}+\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(9 a^2 d^2+10 a b c d+5 b^2 c^2\right) (b c-a d)^3}{1536 b^5 d^3}+\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(9 a^2 d^2+10 a b c d+5 b^2 c^2\right) (b c-a d)^2}{384 b^5 d^2}+\frac{(a+b x)^{5/2} (c+d x)^{3/2} \left(9 a^2 d^2+10 a b c d+5 b^2 c^2\right) (b c-a d)}{192 b^4 d^2}+\frac{(a+b x)^{5/2} (c+d x)^{5/2} \left(9 a^2 d^2+10 a b c d+5 b^2 c^2\right)}{120 b^3 d^2}+\frac{\left(9 a^2 d^2+10 a b c d+5 b^2 c^2\right) (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{1024 b^{11/2} d^{9/2}}-\frac{(a+b x)^{5/2} (c+d x)^{7/2} (9 a d+7 b c)}{84 b^2 d^2}+\frac{x (a+b x)^{5/2} (c+d x)^{7/2}}{7 b d}",1,"-((b*c - a*d)^4*(5*b^2*c^2 + 10*a*b*c*d + 9*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(1024*b^5*d^4) + ((b*c - a*d)^3*(5*b^2*c^2 + 10*a*b*c*d + 9*a^2*d^2)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(1536*b^5*d^3) + ((b*c - a*d)^2*(5*b^2*c^2 + 10*a*b*c*d + 9*a^2*d^2)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(384*b^5*d^2) + ((b*c - a*d)*(5*b^2*c^2 + 10*a*b*c*d + 9*a^2*d^2)*(a + b*x)^(5/2)*(c + d*x)^(3/2))/(192*b^4*d^2) + ((5*b^2*c^2 + 10*a*b*c*d + 9*a^2*d^2)*(a + b*x)^(5/2)*(c + d*x)^(5/2))/(120*b^3*d^2) - ((7*b*c + 9*a*d)*(a + b*x)^(5/2)*(c + d*x)^(7/2))/(84*b^2*d^2) + (x*(a + b*x)^(5/2)*(c + d*x)^(7/2))/(7*b*d) + ((b*c - a*d)^5*(5*b^2*c^2 + 10*a*b*c*d + 9*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(1024*b^(11/2)*d^(9/2))","A",10,6,22,0.2727,1,"{90, 80, 50, 63, 217, 206}"
617,1,315,0,0.1921103,"\int x (a+b x)^{3/2} (c+d x)^{5/2} \, dx","Int[x*(a + b*x)^(3/2)*(c + d*x)^(5/2),x]","\frac{\sqrt{a+b x} \sqrt{c+d x} (7 a d+5 b c) (b c-a d)^4}{512 b^4 d^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (7 a d+5 b c) (b c-a d)^3}{768 b^4 d^2}-\frac{(7 a d+5 b c) (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{512 b^{9/2} d^{7/2}}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (7 a d+5 b c) (b c-a d)^2}{192 b^4 d}-\frac{(a+b x)^{5/2} (c+d x)^{3/2} (7 a d+5 b c) (b c-a d)}{96 b^3 d}-\frac{(a+b x)^{5/2} (c+d x)^{5/2} (7 a d+5 b c)}{60 b^2 d}+\frac{(a+b x)^{5/2} (c+d x)^{7/2}}{6 b d}","\frac{\sqrt{a+b x} \sqrt{c+d x} (7 a d+5 b c) (b c-a d)^4}{512 b^4 d^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (7 a d+5 b c) (b c-a d)^3}{768 b^4 d^2}-\frac{(7 a d+5 b c) (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{512 b^{9/2} d^{7/2}}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (7 a d+5 b c) (b c-a d)^2}{192 b^4 d}-\frac{(a+b x)^{5/2} (c+d x)^{3/2} (7 a d+5 b c) (b c-a d)}{96 b^3 d}-\frac{(a+b x)^{5/2} (c+d x)^{5/2} (7 a d+5 b c)}{60 b^2 d}+\frac{(a+b x)^{5/2} (c+d x)^{7/2}}{6 b d}",1,"((b*c - a*d)^4*(5*b*c + 7*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(512*b^4*d^3) - ((b*c - a*d)^3*(5*b*c + 7*a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(768*b^4*d^2) - ((b*c - a*d)^2*(5*b*c + 7*a*d)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(192*b^4*d) - ((b*c - a*d)*(5*b*c + 7*a*d)*(a + b*x)^(5/2)*(c + d*x)^(3/2))/(96*b^3*d) - ((5*b*c + 7*a*d)*(a + b*x)^(5/2)*(c + d*x)^(5/2))/(60*b^2*d) + ((a + b*x)^(5/2)*(c + d*x)^(7/2))/(6*b*d) - ((b*c - a*d)^5*(5*b*c + 7*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(512*b^(9/2)*d^(7/2))","A",9,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
618,1,224,0,0.1238542,"\int (a+b x)^{3/2} (c+d x)^{5/2} \, dx","Int[(a + b*x)^(3/2)*(c + d*x)^(5/2),x]","-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^4}{128 b^3 d^2}+\frac{3 (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{7/2} d^{5/2}}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (b c-a d)^3}{64 b^3 d}+\frac{(a+b x)^{5/2} \sqrt{c+d x} (b c-a d)^2}{16 b^3}+\frac{(a+b x)^{5/2} (c+d x)^{3/2} (b c-a d)}{8 b^2}+\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{5 b}","-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^4}{128 b^3 d^2}+\frac{3 (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{7/2} d^{5/2}}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (b c-a d)^3}{64 b^3 d}+\frac{(a+b x)^{5/2} \sqrt{c+d x} (b c-a d)^2}{16 b^3}+\frac{(a+b x)^{5/2} (c+d x)^{3/2} (b c-a d)}{8 b^2}+\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{5 b}",1,"(-3*(b*c - a*d)^4*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*b^3*d^2) + ((b*c - a*d)^3*(a + b*x)^(3/2)*Sqrt[c + d*x])/(64*b^3*d) + ((b*c - a*d)^2*(a + b*x)^(5/2)*Sqrt[c + d*x])/(16*b^3) + ((b*c - a*d)*(a + b*x)^(5/2)*(c + d*x)^(3/2))/(8*b^2) + ((a + b*x)^(5/2)*(c + d*x)^(5/2))/(5*b) + (3*(b*c - a*d)^5*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(128*b^(7/2)*d^(5/2))","A",8,4,19,0.2105,1,"{50, 63, 217, 206}"
619,1,304,0,0.2946567,"\int \frac{(a+b x)^{3/2} (c+d x)^{5/2}}{x} \, dx","Int[((a + b*x)^(3/2)*(c + d*x)^(5/2))/x,x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-17 a^2 b c d^2+3 a^3 d^3-55 a b^2 c^2 d+5 b^3 c^3\right)}{64 b^2 d}-\frac{\left(-90 a^2 b^2 c^2 d^2+20 a^3 b c d^3-3 a^4 d^4-60 a b^3 c^3 d+5 b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{5/2} d^{3/2}}+\frac{1}{96} \sqrt{a+b x} (c+d x)^{3/2} \left(\frac{3 a^2 d}{b}+50 a c-\frac{5 b c^2}{d}\right)-2 a^{3/2} c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{1}{4} (a+b x)^{3/2} (c+d x)^{5/2}+\frac{\sqrt{a+b x} (c+d x)^{5/2} (3 a d+5 b c)}{24 d}","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-17 a^2 b c d^2+3 a^3 d^3-55 a b^2 c^2 d+5 b^3 c^3\right)}{64 b^2 d}-\frac{\left(-90 a^2 b^2 c^2 d^2+20 a^3 b c d^3-3 a^4 d^4-60 a b^3 c^3 d+5 b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{5/2} d^{3/2}}+\frac{1}{96} \sqrt{a+b x} (c+d x)^{3/2} \left(\frac{3 a^2 d}{b}+50 a c-\frac{5 b c^2}{d}\right)-2 a^{3/2} c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{1}{4} (a+b x)^{3/2} (c+d x)^{5/2}+\frac{\sqrt{a+b x} (c+d x)^{5/2} (3 a d+5 b c)}{24 d}",1,"-((5*b^3*c^3 - 55*a*b^2*c^2*d - 17*a^2*b*c*d^2 + 3*a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b^2*d) + ((50*a*c - (5*b*c^2)/d + (3*a^2*d)/b)*Sqrt[a + b*x]*(c + d*x)^(3/2))/96 + ((5*b*c + 3*a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(24*d) + ((a + b*x)^(3/2)*(c + d*x)^(5/2))/4 - 2*a^(3/2)*c^(5/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])] - ((5*b^4*c^4 - 60*a*b^3*c^3*d - 90*a^2*b^2*c^2*d^2 + 20*a^3*b*c*d^3 - 3*a^4*d^4)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(5/2)*d^(3/2))","A",10,8,22,0.3636,1,"{101, 154, 157, 63, 217, 206, 93, 208}"
620,1,257,0,0.284188,"\int \frac{(a+b x)^{3/2} (c+d x)^{5/2}}{x^2} \, dx","Int[((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^2,x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(a^2 d^2+26 a b c d+5 b^2 c^2\right)}{8 b}+\frac{\left(15 a^2 b c d^2-a^3 d^3+45 a b^2 c^2 d+5 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{3/2} \sqrt{d}}-\sqrt{a} c^{3/2} (5 a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)-\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{x}+\frac{4}{3} b \sqrt{a+b x} (c+d x)^{5/2}+\frac{1}{12} \sqrt{a+b x} (c+d x)^{3/2} (19 a d+5 b c)","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(a^2 d^2+26 a b c d+5 b^2 c^2\right)}{8 b}+\frac{\left(15 a^2 b c d^2-a^3 d^3+45 a b^2 c^2 d+5 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{3/2} \sqrt{d}}-\sqrt{a} c^{3/2} (5 a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)-\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{x}+\frac{4}{3} b \sqrt{a+b x} (c+d x)^{5/2}+\frac{1}{12} \sqrt{a+b x} (c+d x)^{3/2} (19 a d+5 b c)",1,"((5*b^2*c^2 + 26*a*b*c*d + a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*b) + ((5*b*c + 19*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/12 + (4*b*Sqrt[a + b*x]*(c + d*x)^(5/2))/3 - ((a + b*x)^(3/2)*(c + d*x)^(5/2))/x - Sqrt[a]*c^(3/2)*(3*b*c + 5*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])] + ((5*b^3*c^3 + 45*a*b^2*c^2*d + 15*a^2*b*c*d^2 - a^3*d^3)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(3/2)*Sqrt[d])","A",10,8,22,0.3636,1,"{97, 154, 157, 63, 217, 206, 93, 208}"
621,1,258,0,0.259736,"\int \frac{(a+b x)^{3/2} (c+d x)^{5/2}}{x^3} \, dx","Int[((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^3,x]","-\frac{3 \sqrt{c} \left(5 a^2 d^2+10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 \sqrt{a}}+\frac{3 \sqrt{d} \left(a^2 d^2+10 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 \sqrt{b}}-\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{2 x^2}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (5 a d+3 b c)}{4 c x}+\frac{d \sqrt{a+b x} (c+d x)^{3/2} (5 a d+7 b c)}{4 c}+3 d \sqrt{a+b x} \sqrt{c+d x} (a d+b c)","-\frac{3 \sqrt{c} \left(5 a^2 d^2+10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 \sqrt{a}}+\frac{3 \sqrt{d} \left(a^2 d^2+10 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 \sqrt{b}}-\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{2 x^2}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (5 a d+3 b c)}{4 c x}+\frac{d \sqrt{a+b x} (c+d x)^{3/2} (5 a d+7 b c)}{4 c}+3 d \sqrt{a+b x} \sqrt{c+d x} (a d+b c)",1,"3*d*(b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x] + (d*(7*b*c + 5*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(4*c) - ((3*b*c + 5*a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(4*c*x) - ((a + b*x)^(3/2)*(c + d*x)^(5/2))/(2*x^2) - (3*Sqrt[c]*(b^2*c^2 + 10*a*b*c*d + 5*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*Sqrt[a]) + (3*Sqrt[d]*(5*b^2*c^2 + 10*a*b*c*d + a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*Sqrt[b])","A",10,9,22,0.4091,1,"{97, 149, 154, 157, 63, 217, 206, 93, 208}"
622,1,292,0,0.3251422,"\int \frac{(a+b x)^{3/2} (c+d x)^{5/2}}{x^4} \, dx","Int[((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^4,x]","\frac{d \sqrt{a+b x} \sqrt{c+d x} \left(5 a^2 d^2+26 a b c d+b^2 c^2\right)}{8 a c}+\frac{\left(-45 a^2 b c d^2-5 a^3 d^3-15 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{3/2} \sqrt{c}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(\frac{3 b^2 c}{a}+\frac{5 a d^2}{c}+40 b d\right)}{24 x}+\sqrt{b} d^{3/2} (3 a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{3 x^3}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (5 a d+3 b c)}{12 c x^2}","\frac{d \sqrt{a+b x} \sqrt{c+d x} \left(5 a^2 d^2+26 a b c d+b^2 c^2\right)}{8 a c}+\frac{\left(-45 a^2 b c d^2-5 a^3 d^3-15 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{3/2} \sqrt{c}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(\frac{3 b^2 c}{a}+\frac{5 a d^2}{c}+40 b d\right)}{24 x}+\sqrt{b} d^{3/2} (3 a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{3 x^3}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (5 a d+3 b c)}{12 c x^2}",1,"(d*(b^2*c^2 + 26*a*b*c*d + 5*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*a*c) - (((3*b^2*c)/a + 40*b*d + (5*a*d^2)/c)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(24*x) - ((3*b*c + 5*a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(12*c*x^2) - ((a + b*x)^(3/2)*(c + d*x)^(5/2))/(3*x^3) + ((b^3*c^3 - 15*a*b^2*c^2*d - 45*a^2*b*c*d^2 - 5*a^3*d^3)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(3/2)*Sqrt[c]) + Sqrt[b]*d^(3/2)*(5*b*c + 3*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])]","A",10,9,22,0.4091,1,"{97, 149, 154, 157, 63, 217, 206, 93, 208}"
623,1,316,0,0.3004387,"\int \frac{(a+b x)^{3/2} (c+d x)^{5/2}}{x^5} \, dx","Int[((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^5,x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-55 a^2 b c d^2+5 a^3 d^3-17 a b^2 c^2 d+3 b^3 c^3\right)}{64 a^2 c x}-\frac{\left(90 a^2 b^2 c^2 d^2+60 a^3 b c d^3-5 a^4 d^4-20 a b^3 c^3 d+3 b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{5/2} c^{3/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(\frac{3 b^2 c}{a}-\frac{5 a d^2}{c}+50 b d\right)}{96 x^2}+2 b^{3/2} d^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{4 x^4}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (5 a d+3 b c)}{24 c x^3}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-55 a^2 b c d^2+5 a^3 d^3-17 a b^2 c^2 d+3 b^3 c^3\right)}{64 a^2 c x}-\frac{\left(90 a^2 b^2 c^2 d^2+60 a^3 b c d^3-5 a^4 d^4-20 a b^3 c^3 d+3 b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{5/2} c^{3/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(\frac{3 b^2 c}{a}-\frac{5 a d^2}{c}+50 b d\right)}{96 x^2}+2 b^{3/2} d^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{(a+b x)^{3/2} (c+d x)^{5/2}}{4 x^4}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (5 a d+3 b c)}{24 c x^3}",1,"((3*b^3*c^3 - 17*a*b^2*c^2*d - 55*a^2*b*c*d^2 + 5*a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*a^2*c*x) - (((3*b^2*c)/a + 50*b*d - (5*a*d^2)/c)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(96*x^2) - ((3*b*c + 5*a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(24*c*x^3) - ((a + b*x)^(3/2)*(c + d*x)^(5/2))/(4*x^4) - ((3*b^4*c^4 - 20*a*b^3*c^3*d + 90*a^2*b^2*c^2*d^2 + 60*a^3*b*c*d^3 - 5*a^4*d^4)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(5/2)*c^(3/2)) + 2*b^(3/2)*d^(5/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])]","A",10,8,22,0.3636,1,"{97, 149, 157, 63, 217, 206, 93, 208}"
624,1,242,0,0.1421696,"\int \frac{(a+b x)^{3/2} (c+d x)^{5/2}}{x^6} \, dx","Int[((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^6,x]","\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^3}{64 a^2 c^2 x^2}-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^4}{128 a^3 c^2 x}+\frac{3 (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{7/2} c^{5/2}}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (b c-a d)^2}{80 a c^2 x^3}-\frac{3 \sqrt{a+b x} (c+d x)^{7/2} (b c-a d)}{40 c^2 x^4}-\frac{(a+b x)^{3/2} (c+d x)^{7/2}}{5 c x^5}","\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^3}{64 a^2 c^2 x^2}-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^4}{128 a^3 c^2 x}+\frac{3 (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{7/2} c^{5/2}}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (b c-a d)^2}{80 a c^2 x^3}-\frac{3 \sqrt{a+b x} (c+d x)^{7/2} (b c-a d)}{40 c^2 x^4}-\frac{(a+b x)^{3/2} (c+d x)^{7/2}}{5 c x^5}",1,"(-3*(b*c - a*d)^4*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*a^3*c^2*x) + ((b*c - a*d)^3*Sqrt[a + b*x]*(c + d*x)^(3/2))/(64*a^2*c^2*x^2) - ((b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(5/2))/(80*a*c^2*x^3) - (3*(b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(7/2))/(40*c^2*x^4) - ((a + b*x)^(3/2)*(c + d*x)^(7/2))/(5*c*x^5) + (3*(b*c - a*d)^5*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(128*a^(7/2)*c^(5/2))","A",7,3,22,0.1364,1,"{94, 93, 208}"
625,1,333,0,0.1947579,"\int \frac{(a+b x)^{3/2} (c+d x)^{5/2}}{x^7} \, dx","Int[((a + b*x)^(3/2)*(c + d*x)^(5/2))/x^7,x]","-\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 a d+7 b c) (b c-a d)^3}{768 a^3 c^3 x^2}+\frac{\sqrt{a+b x} (c+d x)^{5/2} (5 a d+7 b c) (b c-a d)^2}{960 a^2 c^3 x^3}+\frac{\sqrt{a+b x} \sqrt{c+d x} (5 a d+7 b c) (b c-a d)^4}{512 a^4 c^3 x}-\frac{(5 a d+7 b c) (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{512 a^{9/2} c^{7/2}}+\frac{\sqrt{a+b x} (c+d x)^{7/2} (5 a d+7 b c) (b c-a d)}{160 a c^3 x^4}+\frac{(a+b x)^{3/2} (c+d x)^{7/2} (5 a d+7 b c)}{60 a c^2 x^5}-\frac{(a+b x)^{5/2} (c+d x)^{7/2}}{6 a c x^6}","-\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 a d+7 b c) (b c-a d)^3}{768 a^3 c^3 x^2}+\frac{\sqrt{a+b x} (c+d x)^{5/2} (5 a d+7 b c) (b c-a d)^2}{960 a^2 c^3 x^3}+\frac{\sqrt{a+b x} \sqrt{c+d x} (5 a d+7 b c) (b c-a d)^4}{512 a^4 c^3 x}-\frac{(5 a d+7 b c) (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{512 a^{9/2} c^{7/2}}+\frac{\sqrt{a+b x} (c+d x)^{7/2} (5 a d+7 b c) (b c-a d)}{160 a c^3 x^4}+\frac{(a+b x)^{3/2} (c+d x)^{7/2} (5 a d+7 b c)}{60 a c^2 x^5}-\frac{(a+b x)^{5/2} (c+d x)^{7/2}}{6 a c x^6}",1,"((b*c - a*d)^4*(7*b*c + 5*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(512*a^4*c^3*x) - ((b*c - a*d)^3*(7*b*c + 5*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(768*a^3*c^3*x^2) + ((b*c - a*d)^2*(7*b*c + 5*a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(960*a^2*c^3*x^3) + ((b*c - a*d)*(7*b*c + 5*a*d)*Sqrt[a + b*x]*(c + d*x)^(7/2))/(160*a*c^3*x^4) + ((7*b*c + 5*a*d)*(a + b*x)^(3/2)*(c + d*x)^(7/2))/(60*a*c^2*x^5) - ((a + b*x)^(5/2)*(c + d*x)^(7/2))/(6*a*c*x^6) - ((b*c - a*d)^5*(7*b*c + 5*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(512*a^(9/2)*c^(7/2))","A",8,4,22,0.1818,1,"{96, 94, 93, 208}"
626,1,254,0,0.2294746,"\int \frac{x^2 (a+b x)^{3/2}}{\sqrt{c+d x}} \, dx","Int[(x^2*(a + b*x)^(3/2))/Sqrt[c + d*x],x]","\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(3 a^2 d^2+10 a b c d+35 b^2 c^2\right)}{96 b^2 d^3}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d) \left(3 a^2 d^2+10 a b c d+35 b^2 c^2\right)}{64 b^2 d^4}+\frac{(b c-a d)^2 \left(3 a^2 d^2+10 a b c d+35 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{5/2} d^{9/2}}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (3 a d+7 b c)}{24 b^2 d^2}+\frac{x (a+b x)^{5/2} \sqrt{c+d x}}{4 b d}","\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(3 a^2 d^2+10 a b c d+35 b^2 c^2\right)}{96 b^2 d^3}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d) \left(3 a^2 d^2+10 a b c d+35 b^2 c^2\right)}{64 b^2 d^4}+\frac{(b c-a d)^2 \left(3 a^2 d^2+10 a b c d+35 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{5/2} d^{9/2}}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (3 a d+7 b c)}{24 b^2 d^2}+\frac{x (a+b x)^{5/2} \sqrt{c+d x}}{4 b d}",1,"-((b*c - a*d)*(35*b^2*c^2 + 10*a*b*c*d + 3*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b^2*d^4) + ((35*b^2*c^2 + 10*a*b*c*d + 3*a^2*d^2)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(96*b^2*d^3) - ((7*b*c + 3*a*d)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(24*b^2*d^2) + (x*(a + b*x)^(5/2)*Sqrt[c + d*x])/(4*b*d) + ((b*c - a*d)^2*(35*b^2*c^2 + 10*a*b*c*d + 3*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(5/2)*d^(9/2))","A",7,6,22,0.2727,1,"{90, 80, 50, 63, 217, 206}"
627,1,171,0,0.0950108,"\int \frac{x (a+b x)^{3/2}}{\sqrt{c+d x}} \, dx","Int[(x*(a + b*x)^(3/2))/Sqrt[c + d*x],x]","-\frac{(b c-a d)^2 (a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{3/2} d^{7/2}}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (a d+5 b c)}{12 b d^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d) (a d+5 b c)}{8 b d^3}+\frac{(a+b x)^{5/2} \sqrt{c+d x}}{3 b d}","-\frac{(b c-a d)^2 (a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{3/2} d^{7/2}}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (a d+5 b c)}{12 b d^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d) (a d+5 b c)}{8 b d^3}+\frac{(a+b x)^{5/2} \sqrt{c+d x}}{3 b d}",1,"((b*c - a*d)*(5*b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*b*d^3) - ((5*b*c + a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(12*b*d^2) + ((a + b*x)^(5/2)*Sqrt[c + d*x])/(3*b*d) - ((b*c - a*d)^2*(5*b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(3/2)*d^(7/2))","A",6,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
628,1,113,0,0.0542366,"\int \frac{(a+b x)^{3/2}}{\sqrt{c+d x}} \, dx","Int[(a + b*x)^(3/2)/Sqrt[c + d*x],x]","-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 d^2}+\frac{3 (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 \sqrt{b} d^{5/2}}+\frac{(a+b x)^{3/2} \sqrt{c+d x}}{2 d}","-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 d^2}+\frac{3 (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 \sqrt{b} d^{5/2}}+\frac{(a+b x)^{3/2} \sqrt{c+d x}}{2 d}",1,"(-3*(b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*d^2) + ((a + b*x)^(3/2)*Sqrt[c + d*x])/(2*d) + (3*(b*c - a*d)^2*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*Sqrt[b]*d^(5/2))","A",5,4,19,0.2105,1,"{50, 63, 217, 206}"
629,1,116,0,0.0843423,"\int \frac{(a+b x)^{3/2}}{x \sqrt{c+d x}} \, dx","Int[(a + b*x)^(3/2)/(x*Sqrt[c + d*x]),x]","-\frac{2 a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{c}}-\frac{\sqrt{b} (b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{3/2}}+\frac{b \sqrt{a+b x} \sqrt{c+d x}}{d}","-\frac{2 a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{c}}-\frac{\sqrt{b} (b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{3/2}}+\frac{b \sqrt{a+b x} \sqrt{c+d x}}{d}",1,"(b*Sqrt[a + b*x]*Sqrt[c + d*x])/d - (2*a^(3/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/Sqrt[c] - (Sqrt[b]*(b*c - 3*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/d^(3/2)","A",7,7,22,0.3182,1,"{102, 157, 63, 217, 206, 93, 208}"
630,1,121,0,0.0804651,"\int \frac{(a+b x)^{3/2}}{x^2 \sqrt{c+d x}} \, dx","Int[(a + b*x)^(3/2)/(x^2*Sqrt[c + d*x]),x]","\frac{2 b^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{d}}-\frac{\sqrt{a} (3 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{3/2}}-\frac{a \sqrt{a+b x} \sqrt{c+d x}}{c x}","\frac{2 b^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{d}}-\frac{\sqrt{a} (3 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{3/2}}-\frac{a \sqrt{a+b x} \sqrt{c+d x}}{c x}",1,"-((a*Sqrt[a + b*x]*Sqrt[c + d*x])/(c*x)) - (Sqrt[a]*(3*b*c - a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/c^(3/2) + (2*b^(3/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/Sqrt[d]","A",7,7,22,0.3182,1,"{98, 157, 63, 217, 206, 93, 208}"
631,1,119,0,0.0432698,"\int \frac{(a+b x)^{3/2}}{x^3 \sqrt{c+d x}} \, dx","Int[(a + b*x)^(3/2)/(x^3*Sqrt[c + d*x]),x]","-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 c^2 x}-\frac{3 (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 \sqrt{a} c^{5/2}}-\frac{(a+b x)^{3/2} \sqrt{c+d x}}{2 c x^2}","-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 c^2 x}-\frac{3 (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 \sqrt{a} c^{5/2}}-\frac{(a+b x)^{3/2} \sqrt{c+d x}}{2 c x^2}",1,"(-3*(b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*c^2*x) - ((a + b*x)^(3/2)*Sqrt[c + d*x])/(2*c*x^2) - (3*(b*c - a*d)^2*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*Sqrt[a]*c^(5/2))","A",4,3,22,0.1364,1,"{94, 93, 208}"
632,1,180,0,0.0822984,"\int \frac{(a+b x)^{3/2}}{x^4 \sqrt{c+d x}} \, dx","Int[(a + b*x)^(3/2)/(x^4*Sqrt[c + d*x]),x]","\frac{(b c-a d)^2 (5 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{3/2} c^{7/2}}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (5 a d+b c)}{12 a c^2 x^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d) (5 a d+b c)}{8 a c^3 x}-\frac{(a+b x)^{5/2} \sqrt{c+d x}}{3 a c x^3}","\frac{(b c-a d)^2 (5 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{3/2} c^{7/2}}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (5 a d+b c)}{12 a c^2 x^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d) (5 a d+b c)}{8 a c^3 x}-\frac{(a+b x)^{5/2} \sqrt{c+d x}}{3 a c x^3}",1,"((b*c - a*d)*(b*c + 5*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*a*c^3*x) + ((b*c + 5*a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(12*a*c^2*x^2) - ((a + b*x)^(5/2)*Sqrt[c + d*x])/(3*a*c*x^3) + ((b*c - a*d)^2*(b*c + 5*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(3/2)*c^(7/2))","A",5,4,22,0.1818,1,"{96, 94, 93, 208}"
633,1,266,0,0.2134364,"\int \frac{(a+b x)^{3/2}}{x^5 \sqrt{c+d x}} \, dx","Int[(a + b*x)^(3/2)/(x^5*Sqrt[c + d*x]),x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(35 a^2 d^2-46 a b c d+3 b^2 c^2\right)}{96 a c^3 x^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-145 a^2 b c d^2+105 a^3 d^3+15 a b^2 c^2 d+9 b^3 c^3\right)}{192 a^2 c^4 x}-\frac{\left(35 a^2 d^2+10 a b c d+3 b^2 c^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{5/2} c^{9/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (9 b c-7 a d)}{24 c^2 x^3}-\frac{a \sqrt{a+b x} \sqrt{c+d x}}{4 c x^4}","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(35 a^2 d^2-46 a b c d+3 b^2 c^2\right)}{96 a c^3 x^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-145 a^2 b c d^2+105 a^3 d^3+15 a b^2 c^2 d+9 b^3 c^3\right)}{192 a^2 c^4 x}-\frac{\left(35 a^2 d^2+10 a b c d+3 b^2 c^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{5/2} c^{9/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (9 b c-7 a d)}{24 c^2 x^3}-\frac{a \sqrt{a+b x} \sqrt{c+d x}}{4 c x^4}",1,"-(a*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*c*x^4) - ((9*b*c - 7*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(24*c^2*x^3) - ((3*b^2*c^2 - 46*a*b*c*d + 35*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(96*a*c^3*x^2) + ((9*b^3*c^3 + 15*a*b^2*c^2*d - 145*a^2*b*c*d^2 + 105*a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(192*a^2*c^4*x) - ((b*c - a*d)^2*(3*b^2*c^2 + 10*a*b*c*d + 35*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(5/2)*c^(9/2))","A",7,5,22,0.2273,1,"{98, 151, 12, 93, 208}"
634,1,248,0,0.2519201,"\int \frac{x^2 (a+b x)^{3/2}}{(c+d x)^{3/2}} \, dx","Int[(x^2*(a + b*x)^(3/2))/(c + d*x)^(3/2),x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-a^2 d^2-10 a b c d+35 b^2 c^2\right)}{8 b d^4}-\frac{(b c-a d) \left(-a^2 d^2-10 a b c d+35 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{3/2} d^{9/2}}+\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(\frac{a^2 d}{b}+10 a c-\frac{35 b c^2}{d}\right)}{12 d^2 (b c-a d)}+\frac{2 c^2 (a+b x)^{5/2}}{d^2 \sqrt{c+d x} (b c-a d)}+\frac{(a+b x)^{5/2} \sqrt{c+d x}}{3 b d^2}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-a^2 d^2-10 a b c d+35 b^2 c^2\right)}{8 b d^4}-\frac{(b c-a d) \left(-a^2 d^2-10 a b c d+35 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{3/2} d^{9/2}}+\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(\frac{a^2 d}{b}+10 a c-\frac{35 b c^2}{d}\right)}{12 d^2 (b c-a d)}+\frac{2 c^2 (a+b x)^{5/2}}{d^2 \sqrt{c+d x} (b c-a d)}+\frac{(a+b x)^{5/2} \sqrt{c+d x}}{3 b d^2}",1,"(2*c^2*(a + b*x)^(5/2))/(d^2*(b*c - a*d)*Sqrt[c + d*x]) + ((35*b^2*c^2 - 10*a*b*c*d - a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*b*d^4) + ((10*a*c - (35*b*c^2)/d + (a^2*d)/b)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(12*d^2*(b*c - a*d)) + ((a + b*x)^(5/2)*Sqrt[c + d*x])/(3*b*d^2) - ((b*c - a*d)*(35*b^2*c^2 - 10*a*b*c*d - a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(3/2)*d^(9/2))","A",7,6,22,0.2727,1,"{89, 80, 50, 63, 217, 206}"
635,1,174,0,0.0992425,"\int \frac{x (a+b x)^{3/2}}{(c+d x)^{3/2}} \, dx","Int[(x*(a + b*x)^(3/2))/(c + d*x)^(3/2),x]","\frac{(a+b x)^{3/2} \sqrt{c+d x} (5 b c-a d)}{2 d^2 (b c-a d)}-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (5 b c-a d)}{4 d^3}+\frac{3 (b c-a d) (5 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 \sqrt{b} d^{7/2}}-\frac{2 c (a+b x)^{5/2}}{d \sqrt{c+d x} (b c-a d)}","\frac{(a+b x)^{3/2} \sqrt{c+d x} (5 b c-a d)}{2 d^2 (b c-a d)}-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (5 b c-a d)}{4 d^3}+\frac{3 (b c-a d) (5 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 \sqrt{b} d^{7/2}}-\frac{2 c (a+b x)^{5/2}}{d \sqrt{c+d x} (b c-a d)}",1,"(-2*c*(a + b*x)^(5/2))/(d*(b*c - a*d)*Sqrt[c + d*x]) - (3*(5*b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*d^3) + ((5*b*c - a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(2*d^2*(b*c - a*d)) + (3*(b*c - a*d)*(5*b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*Sqrt[b]*d^(7/2))","A",6,5,20,0.2500,1,"{78, 50, 63, 217, 206}"
636,1,98,0,0.0488385,"\int \frac{(a+b x)^{3/2}}{(c+d x)^{3/2}} \, dx","Int[(a + b*x)^(3/2)/(c + d*x)^(3/2),x]","\frac{3 b \sqrt{a+b x} \sqrt{c+d x}}{d^2}-\frac{3 \sqrt{b} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{5/2}}-\frac{2 (a+b x)^{3/2}}{d \sqrt{c+d x}}","\frac{3 b \sqrt{a+b x} \sqrt{c+d x}}{d^2}-\frac{3 \sqrt{b} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{5/2}}-\frac{2 (a+b x)^{3/2}}{d \sqrt{c+d x}}",1,"(-2*(a + b*x)^(3/2))/(d*Sqrt[c + d*x]) + (3*b*Sqrt[a + b*x]*Sqrt[c + d*x])/d^2 - (3*Sqrt[b]*(b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/d^(5/2)","A",5,5,19,0.2632,1,"{47, 50, 63, 217, 206}"
637,1,119,0,0.0680015,"\int \frac{(a+b x)^{3/2}}{x (c+d x)^{3/2}} \, dx","Int[(a + b*x)^(3/2)/(x*(c + d*x)^(3/2)),x]","-\frac{2 a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{3/2}}+\frac{2 b^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{3/2}}-\frac{2 \sqrt{a+b x} (b c-a d)}{c d \sqrt{c+d x}}","-\frac{2 a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{3/2}}+\frac{2 b^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{3/2}}-\frac{2 \sqrt{a+b x} (b c-a d)}{c d \sqrt{c+d x}}",1,"(-2*(b*c - a*d)*Sqrt[a + b*x])/(c*d*Sqrt[c + d*x]) - (2*a^(3/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/c^(3/2) + (2*b^(3/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/d^(3/2)","A",7,7,22,0.3182,1,"{98, 157, 63, 217, 206, 93, 208}"
638,1,108,0,0.0400652,"\int \frac{(a+b x)^{3/2}}{x^2 (c+d x)^{3/2}} \, dx","Int[(a + b*x)^(3/2)/(x^2*(c + d*x)^(3/2)),x]","\frac{3 \sqrt{a+b x} (b c-a d)}{c^2 \sqrt{c+d x}}-\frac{3 \sqrt{a} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{5/2}}-\frac{(a+b x)^{3/2}}{c x \sqrt{c+d x}}","\frac{3 \sqrt{a+b x} (b c-a d)}{c^2 \sqrt{c+d x}}-\frac{3 \sqrt{a} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{5/2}}-\frac{(a+b x)^{3/2}}{c x \sqrt{c+d x}}",1,"(3*(b*c - a*d)*Sqrt[a + b*x])/(c^2*Sqrt[c + d*x]) - (a + b*x)^(3/2)/(c*x*Sqrt[c + d*x]) - (3*Sqrt[a]*(b*c - a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/c^(5/2)","A",4,3,22,0.1364,1,"{94, 93, 208}"
639,1,175,0,0.0770323,"\int \frac{(a+b x)^{3/2}}{x^3 (c+d x)^{3/2}} \, dx","Int[(a + b*x)^(3/2)/(x^3*(c + d*x)^(3/2)),x]","-\frac{(a+b x)^{3/2} (b c-5 a d)}{4 a c^2 x \sqrt{c+d x}}+\frac{3 \sqrt{a+b x} (b c-5 a d) (b c-a d)}{4 a c^3 \sqrt{c+d x}}-\frac{3 (b c-5 a d) (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 \sqrt{a} c^{7/2}}-\frac{(a+b x)^{5/2}}{2 a c x^2 \sqrt{c+d x}}","-\frac{(a+b x)^{3/2} (b c-5 a d)}{4 a c^2 x \sqrt{c+d x}}+\frac{3 \sqrt{a+b x} (b c-5 a d) (b c-a d)}{4 a c^3 \sqrt{c+d x}}-\frac{3 (b c-5 a d) (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 \sqrt{a} c^{7/2}}-\frac{(a+b x)^{5/2}}{2 a c x^2 \sqrt{c+d x}}",1,"(3*(b*c - 5*a*d)*(b*c - a*d)*Sqrt[a + b*x])/(4*a*c^3*Sqrt[c + d*x]) - ((b*c - 5*a*d)*(a + b*x)^(3/2))/(4*a*c^2*x*Sqrt[c + d*x]) - (a + b*x)^(5/2)/(2*a*c*x^2*Sqrt[c + d*x]) - (3*(b*c - 5*a*d)*(b*c - a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*Sqrt[a]*c^(7/2))","A",5,4,22,0.1818,1,"{96, 94, 93, 208}"
640,1,240,0,0.2180444,"\int \frac{(a+b x)^{3/2}}{x^4 (c+d x)^{3/2}} \, dx","Int[(a + b*x)^(3/2)/(x^4*(c + d*x)^(3/2)),x]","-\frac{d \sqrt{a+b x} \left(105 a^2 d^2-100 a b c d+3 b^2 c^2\right)}{24 a c^4 \sqrt{c+d x}}+\frac{(b c-a d) \left(-35 a^2 d^2+10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{3/2} c^{9/2}}-\frac{7 \sqrt{a+b x} (b c-a d)}{12 c^2 x^2 \sqrt{c+d x}}-\frac{\sqrt{a+b x} (3 b c-35 a d) (b c-a d)}{24 a c^3 x \sqrt{c+d x}}-\frac{a \sqrt{a+b x}}{3 c x^3 \sqrt{c+d x}}","-\frac{d \sqrt{a+b x} \left(105 a^2 d^2-100 a b c d+3 b^2 c^2\right)}{24 a c^4 \sqrt{c+d x}}+\frac{(b c-a d) \left(-35 a^2 d^2+10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{3/2} c^{9/2}}-\frac{7 \sqrt{a+b x} (b c-a d)}{12 c^2 x^2 \sqrt{c+d x}}-\frac{\sqrt{a+b x} (3 b c-35 a d) (b c-a d)}{24 a c^3 x \sqrt{c+d x}}-\frac{a \sqrt{a+b x}}{3 c x^3 \sqrt{c+d x}}",1,"-(d*(3*b^2*c^2 - 100*a*b*c*d + 105*a^2*d^2)*Sqrt[a + b*x])/(24*a*c^4*Sqrt[c + d*x]) - (a*Sqrt[a + b*x])/(3*c*x^3*Sqrt[c + d*x]) - (7*(b*c - a*d)*Sqrt[a + b*x])/(12*c^2*x^2*Sqrt[c + d*x]) - ((3*b*c - 35*a*d)*(b*c - a*d)*Sqrt[a + b*x])/(24*a*c^3*x*Sqrt[c + d*x]) + ((b*c - a*d)*(b^2*c^2 + 10*a*b*c*d - 35*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(3/2)*c^(9/2))","A",7,6,22,0.2727,1,"{98, 151, 152, 12, 93, 208}"
641,1,267,0,0.284155,"\int \frac{x^2 (a+b x)^{3/2}}{(c+d x)^{5/2}} \, dx","Int[(x^2*(a + b*x)^(3/2))/(c + d*x)^(5/2),x]","\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(3 a^2 d^2-30 a b c d+35 b^2 c^2\right)}{6 d^3 (b c-a d)^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(3 a^2 d^2-30 a b c d+35 b^2 c^2\right)}{4 d^4 (b c-a d)}+\frac{\left(3 a^2 d^2-30 a b c d+35 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 \sqrt{b} d^{9/2}}+\frac{2 c^2 (a+b x)^{5/2}}{3 d^2 (c+d x)^{3/2} (b c-a d)}-\frac{4 c (a+b x)^{5/2} (4 b c-3 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)^2}","\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(3 a^2 d^2-30 a b c d+35 b^2 c^2\right)}{6 d^3 (b c-a d)^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(3 a^2 d^2-30 a b c d+35 b^2 c^2\right)}{4 d^4 (b c-a d)}+\frac{\left(3 a^2 d^2-30 a b c d+35 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 \sqrt{b} d^{9/2}}+\frac{2 c^2 (a+b x)^{5/2}}{3 d^2 (c+d x)^{3/2} (b c-a d)}-\frac{4 c (a+b x)^{5/2} (4 b c-3 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)^2}",1,"(2*c^2*(a + b*x)^(5/2))/(3*d^2*(b*c - a*d)*(c + d*x)^(3/2)) - (4*c*(4*b*c - 3*a*d)*(a + b*x)^(5/2))/(3*d^2*(b*c - a*d)^2*Sqrt[c + d*x]) - ((35*b^2*c^2 - 30*a*b*c*d + 3*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*d^4*(b*c - a*d)) + ((35*b^2*c^2 - 30*a*b*c*d + 3*a^2*d^2)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(6*d^3*(b*c - a*d)^2) + ((35*b^2*c^2 - 30*a*b*c*d + 3*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*Sqrt[b]*d^(9/2))","A",7,6,22,0.2727,1,"{89, 78, 50, 63, 217, 206}"
642,1,174,0,0.0872183,"\int \frac{x (a+b x)^{3/2}}{(c+d x)^{5/2}} \, dx","Int[(x*(a + b*x)^(3/2))/(c + d*x)^(5/2),x]","-\frac{2 (a+b x)^{3/2} (5 b c-3 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)}+\frac{b \sqrt{a+b x} \sqrt{c+d x} (5 b c-3 a d)}{d^3 (b c-a d)}-\frac{\sqrt{b} (5 b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{7/2}}-\frac{2 c (a+b x)^{5/2}}{3 d (c+d x)^{3/2} (b c-a d)}","-\frac{2 (a+b x)^{3/2} (5 b c-3 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)}+\frac{b \sqrt{a+b x} \sqrt{c+d x} (5 b c-3 a d)}{d^3 (b c-a d)}-\frac{\sqrt{b} (5 b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{7/2}}-\frac{2 c (a+b x)^{5/2}}{3 d (c+d x)^{3/2} (b c-a d)}",1,"(-2*c*(a + b*x)^(5/2))/(3*d*(b*c - a*d)*(c + d*x)^(3/2)) - (2*(5*b*c - 3*a*d)*(a + b*x)^(3/2))/(3*d^2*(b*c - a*d)*Sqrt[c + d*x]) + (b*(5*b*c - 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(d^3*(b*c - a*d)) - (Sqrt[b]*(5*b*c - 3*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/d^(7/2)","A",6,6,20,0.3000,1,"{78, 47, 50, 63, 217, 206}"
643,1,92,0,0.0433227,"\int \frac{(a+b x)^{3/2}}{(c+d x)^{5/2}} \, dx","Int[(a + b*x)^(3/2)/(c + d*x)^(5/2),x]","\frac{2 b^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{5/2}}-\frac{2 b \sqrt{a+b x}}{d^2 \sqrt{c+d x}}-\frac{2 (a+b x)^{3/2}}{3 d (c+d x)^{3/2}}","\frac{2 b^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{5/2}}-\frac{2 b \sqrt{a+b x}}{d^2 \sqrt{c+d x}}-\frac{2 (a+b x)^{3/2}}{3 d (c+d x)^{3/2}}",1,"(-2*(a + b*x)^(3/2))/(3*d*(c + d*x)^(3/2)) - (2*b*Sqrt[a + b*x])/(d^2*Sqrt[c + d*x]) + (2*b^(3/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/d^(5/2)","A",5,4,19,0.2105,1,"{47, 63, 217, 206}"
644,1,92,0,0.0302455,"\int \frac{(a+b x)^{3/2}}{x (c+d x)^{5/2}} \, dx","Int[(a + b*x)^(3/2)/(x*(c + d*x)^(5/2)),x]","-\frac{2 a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{5/2}}+\frac{2 a \sqrt{a+b x}}{c^2 \sqrt{c+d x}}+\frac{2 (a+b x)^{3/2}}{3 c (c+d x)^{3/2}}","-\frac{2 a^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{5/2}}+\frac{2 a \sqrt{a+b x}}{c^2 \sqrt{c+d x}}+\frac{2 (a+b x)^{3/2}}{3 c (c+d x)^{3/2}}",1,"(2*(a + b*x)^(3/2))/(3*c*(c + d*x)^(3/2)) + (2*a*Sqrt[a + b*x])/(c^2*Sqrt[c + d*x]) - (2*a^(3/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/c^(5/2)","A",4,3,22,0.1364,1,"{94, 93, 208}"
645,1,149,0,0.0638717,"\int \frac{(a+b x)^{3/2}}{x^2 (c+d x)^{5/2}} \, dx","Int[(a + b*x)^(3/2)/(x^2*(c + d*x)^(5/2)),x]","\frac{(a+b x)^{3/2} (3 b c-5 a d)}{3 a c^2 (c+d x)^{3/2}}+\frac{\sqrt{a+b x} (3 b c-5 a d)}{c^3 \sqrt{c+d x}}-\frac{\sqrt{a} (3 b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{7/2}}-\frac{(a+b x)^{5/2}}{a c x (c+d x)^{3/2}}","\frac{(a+b x)^{3/2} (3 b c-5 a d)}{3 a c^2 (c+d x)^{3/2}}+\frac{\sqrt{a+b x} (3 b c-5 a d)}{c^3 \sqrt{c+d x}}-\frac{\sqrt{a} (3 b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{7/2}}-\frac{(a+b x)^{5/2}}{a c x (c+d x)^{3/2}}",1,"((3*b*c - 5*a*d)*(a + b*x)^(3/2))/(3*a*c^2*(c + d*x)^(3/2)) - (a + b*x)^(5/2)/(a*c*x*(c + d*x)^(3/2)) + ((3*b*c - 5*a*d)*Sqrt[a + b*x])/(c^3*Sqrt[c + d*x]) - (Sqrt[a]*(3*b*c - 5*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/c^(7/2)","A",5,4,22,0.1818,1,"{96, 94, 93, 208}"
646,1,204,0,0.2310783,"\int \frac{(a+b x)^{3/2}}{x^3 (c+d x)^{5/2}} \, dx","Int[(a + b*x)^(3/2)/(x^3*(c + d*x)^(5/2)),x]","-\frac{\left(35 a^2 d^2-30 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 \sqrt{a} c^{9/2}}-\frac{5 d \sqrt{a+b x} (11 b c-21 a d)}{12 c^4 \sqrt{c+d x}}-\frac{d \sqrt{a+b x} (23 b c-35 a d)}{12 c^3 (c+d x)^{3/2}}-\frac{\sqrt{a+b x} (5 b c-7 a d)}{4 c^2 x (c+d x)^{3/2}}-\frac{a \sqrt{a+b x}}{2 c x^2 (c+d x)^{3/2}}","-\frac{\left(35 a^2 d^2-30 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 \sqrt{a} c^{9/2}}-\frac{5 d \sqrt{a+b x} (11 b c-21 a d)}{12 c^4 \sqrt{c+d x}}-\frac{d \sqrt{a+b x} (23 b c-35 a d)}{12 c^3 (c+d x)^{3/2}}-\frac{\sqrt{a+b x} (5 b c-7 a d)}{4 c^2 x (c+d x)^{3/2}}-\frac{a \sqrt{a+b x}}{2 c x^2 (c+d x)^{3/2}}",1,"-(d*(23*b*c - 35*a*d)*Sqrt[a + b*x])/(12*c^3*(c + d*x)^(3/2)) - (a*Sqrt[a + b*x])/(2*c*x^2*(c + d*x)^(3/2)) - ((5*b*c - 7*a*d)*Sqrt[a + b*x])/(4*c^2*x*(c + d*x)^(3/2)) - (5*d*(11*b*c - 21*a*d)*Sqrt[a + b*x])/(12*c^4*Sqrt[c + d*x]) - ((3*b^2*c^2 - 30*a*b*c*d + 35*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*Sqrt[a]*c^(9/2))","A",7,6,22,0.2727,1,"{98, 151, 152, 12, 93, 208}"
647,1,376,0,0.3780276,"\int x^2 (a+b x)^{5/2} \sqrt{c+d x} \, dx","Int[x^2*(a + b*x)^(5/2)*Sqrt[c + d*x],x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(5 a^2 d^2+14 a b c d+21 b^2 c^2\right) (b c-a d)^3}{512 b^3 d^5}-\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(5 a^2 d^2+14 a b c d+21 b^2 c^2\right) (b c-a d)^2}{768 b^3 d^4}+\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(5 a^2 d^2+14 a b c d+21 b^2 c^2\right) (b c-a d)}{960 b^3 d^3}+\frac{(a+b x)^{7/2} \sqrt{c+d x} \left(5 a^2 d^2+14 a b c d+21 b^2 c^2\right)}{160 b^3 d^2}-\frac{\left(5 a^2 d^2+14 a b c d+21 b^2 c^2\right) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{512 b^{7/2} d^{11/2}}-\frac{(a+b x)^{7/2} (c+d x)^{3/2} (5 a d+9 b c)}{60 b^2 d^2}+\frac{x (a+b x)^{7/2} (c+d x)^{3/2}}{6 b d}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(5 a^2 d^2+14 a b c d+21 b^2 c^2\right) (b c-a d)^3}{512 b^3 d^5}-\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(5 a^2 d^2+14 a b c d+21 b^2 c^2\right) (b c-a d)^2}{768 b^3 d^4}+\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(5 a^2 d^2+14 a b c d+21 b^2 c^2\right) (b c-a d)}{960 b^3 d^3}+\frac{(a+b x)^{7/2} \sqrt{c+d x} \left(5 a^2 d^2+14 a b c d+21 b^2 c^2\right)}{160 b^3 d^2}-\frac{\left(5 a^2 d^2+14 a b c d+21 b^2 c^2\right) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{512 b^{7/2} d^{11/2}}-\frac{(a+b x)^{7/2} (c+d x)^{3/2} (5 a d+9 b c)}{60 b^2 d^2}+\frac{x (a+b x)^{7/2} (c+d x)^{3/2}}{6 b d}",1,"((b*c - a*d)^3*(21*b^2*c^2 + 14*a*b*c*d + 5*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(512*b^3*d^5) - ((b*c - a*d)^2*(21*b^2*c^2 + 14*a*b*c*d + 5*a^2*d^2)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(768*b^3*d^4) + ((b*c - a*d)*(21*b^2*c^2 + 14*a*b*c*d + 5*a^2*d^2)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(960*b^3*d^3) + ((21*b^2*c^2 + 14*a*b*c*d + 5*a^2*d^2)*(a + b*x)^(7/2)*Sqrt[c + d*x])/(160*b^3*d^2) - ((9*b*c + 5*a*d)*(a + b*x)^(7/2)*(c + d*x)^(3/2))/(60*b^2*d^2) + (x*(a + b*x)^(7/2)*(c + d*x)^(3/2))/(6*b*d) - ((b*c - a*d)^4*(21*b^2*c^2 + 14*a*b*c*d + 5*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(512*b^(7/2)*d^(11/2))","A",9,6,22,0.2727,1,"{90, 80, 50, 63, 217, 206}"
648,1,268,0,0.1596288,"\int x (a+b x)^{5/2} \sqrt{c+d x} \, dx","Int[x*(a + b*x)^(5/2)*Sqrt[c + d*x],x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+7 b c) (b c-a d)^3}{128 b^2 d^4}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (3 a d+7 b c) (b c-a d)^2}{192 b^2 d^3}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (3 a d+7 b c) (b c-a d)}{240 b^2 d^2}+\frac{(3 a d+7 b c) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{5/2} d^{9/2}}-\frac{(a+b x)^{7/2} \sqrt{c+d x} (3 a d+7 b c)}{40 b^2 d}+\frac{(a+b x)^{7/2} (c+d x)^{3/2}}{5 b d}","-\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+7 b c) (b c-a d)^3}{128 b^2 d^4}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (3 a d+7 b c) (b c-a d)^2}{192 b^2 d^3}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (3 a d+7 b c) (b c-a d)}{240 b^2 d^2}+\frac{(3 a d+7 b c) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{5/2} d^{9/2}}-\frac{(a+b x)^{7/2} \sqrt{c+d x} (3 a d+7 b c)}{40 b^2 d}+\frac{(a+b x)^{7/2} (c+d x)^{3/2}}{5 b d}",1,"-((b*c - a*d)^3*(7*b*c + 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*b^2*d^4) + ((b*c - a*d)^2*(7*b*c + 3*a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(192*b^2*d^3) - ((b*c - a*d)*(7*b*c + 3*a*d)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(240*b^2*d^2) - ((7*b*c + 3*a*d)*(a + b*x)^(7/2)*Sqrt[c + d*x])/(40*b^2*d) + ((a + b*x)^(7/2)*(c + d*x)^(3/2))/(5*b*d) + ((b*c - a*d)^4*(7*b*c + 3*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(128*b^(5/2)*d^(9/2))","A",8,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
649,1,192,0,0.1001655,"\int (a+b x)^{5/2} \sqrt{c+d x} \, dx","Int[(a + b*x)^(5/2)*Sqrt[c + d*x],x]","-\frac{5 (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{3/2} d^{7/2}}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^3}{64 b d^3}-\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (b c-a d)^2}{96 b d^2}+\frac{(a+b x)^{5/2} \sqrt{c+d x} (b c-a d)}{24 b d}+\frac{(a+b x)^{7/2} \sqrt{c+d x}}{4 b}","-\frac{5 (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{3/2} d^{7/2}}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^3}{64 b d^3}-\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (b c-a d)^2}{96 b d^2}+\frac{(a+b x)^{5/2} \sqrt{c+d x} (b c-a d)}{24 b d}+\frac{(a+b x)^{7/2} \sqrt{c+d x}}{4 b}",1,"(5*(b*c - a*d)^3*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b*d^3) - (5*(b*c - a*d)^2*(a + b*x)^(3/2)*Sqrt[c + d*x])/(96*b*d^2) + ((b*c - a*d)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(24*b*d) + ((a + b*x)^(7/2)*Sqrt[c + d*x])/(4*b) - (5*(b*c - a*d)^4*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(3/2)*d^(7/2))","A",7,4,19,0.2105,1,"{50, 63, 217, 206}"
650,1,218,0,0.2507812,"\int \frac{(a+b x)^{5/2} \sqrt{c+d x}}{x} \, dx","Int[((a + b*x)^(5/2)*Sqrt[c + d*x])/x,x]","\frac{\left(15 a^2 b c d^2+5 a^3 d^3-5 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 \sqrt{b} d^{5/2}}-2 a^{5/2} \sqrt{c} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-5 a d) (a d+b c)}{8 d^2}+\frac{1}{3} (a+b x)^{5/2} \sqrt{c+d x}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (5 a d+b c)}{12 d}","\frac{\left(15 a^2 b c d^2+5 a^3 d^3-5 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 \sqrt{b} d^{5/2}}-2 a^{5/2} \sqrt{c} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-5 a d) (a d+b c)}{8 d^2}+\frac{1}{3} (a+b x)^{5/2} \sqrt{c+d x}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (5 a d+b c)}{12 d}",1,"-((b*c - 5*a*d)*(b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*d^2) + ((b*c + 5*a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(12*d) + ((a + b*x)^(5/2)*Sqrt[c + d*x])/3 - 2*a^(5/2)*Sqrt[c]*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])] + ((b^3*c^3 - 5*a*b^2*c^2*d + 15*a^2*b*c*d^2 + 5*a^3*d^3)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*Sqrt[b]*d^(5/2))","A",9,8,22,0.3636,1,"{101, 154, 157, 63, 217, 206, 93, 208}"
651,1,197,0,0.1992796,"\int \frac{(a+b x)^{5/2} \sqrt{c+d x}}{x^2} \, dx","Int[((a + b*x)^(5/2)*Sqrt[c + d*x])/x^2,x]","-\frac{\sqrt{b} \left(-15 a^2 d^2-10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 d^{3/2}}-\frac{a^{3/2} (a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{c}}-\frac{(a+b x)^{5/2} \sqrt{c+d x}}{x}+\frac{3}{2} b (a+b x)^{3/2} \sqrt{c+d x}+\frac{b \sqrt{a+b x} \sqrt{c+d x} (11 a d+b c)}{4 d}","-\frac{\sqrt{b} \left(-15 a^2 d^2-10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 d^{3/2}}-\frac{a^{3/2} (a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{c}}-\frac{(a+b x)^{5/2} \sqrt{c+d x}}{x}+\frac{3}{2} b (a+b x)^{3/2} \sqrt{c+d x}+\frac{b \sqrt{a+b x} \sqrt{c+d x} (11 a d+b c)}{4 d}",1,"(b*(b*c + 11*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*d) + (3*b*(a + b*x)^(3/2)*Sqrt[c + d*x])/2 - ((a + b*x)^(5/2)*Sqrt[c + d*x])/x - (a^(3/2)*(5*b*c + a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/Sqrt[c] - (Sqrt[b]*(b^2*c^2 - 10*a*b*c*d - 15*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*d^(3/2))","A",9,8,22,0.3636,1,"{97, 154, 157, 63, 217, 206, 93, 208}"
652,1,212,0,0.183564,"\int \frac{(a+b x)^{5/2} \sqrt{c+d x}}{x^3} \, dx","Int[((a + b*x)^(5/2)*Sqrt[c + d*x])/x^3,x]","-\frac{\sqrt{a} \left(-a^2 d^2+10 a b c d+15 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 c^{3/2}}+\frac{b^{3/2} (5 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{d}}-\frac{(a+b x)^{5/2} \sqrt{c+d x}}{2 x^2}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (a d+5 b c)}{4 c x}+\frac{b \sqrt{a+b x} \sqrt{c+d x} (a d+11 b c)}{4 c}","-\frac{\sqrt{a} \left(-a^2 d^2+10 a b c d+15 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 c^{3/2}}+\frac{b^{3/2} (5 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{d}}-\frac{(a+b x)^{5/2} \sqrt{c+d x}}{2 x^2}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (a d+5 b c)}{4 c x}+\frac{b \sqrt{a+b x} \sqrt{c+d x} (a d+11 b c)}{4 c}",1,"(b*(11*b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*c) - ((5*b*c + a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(4*c*x) - ((a + b*x)^(5/2)*Sqrt[c + d*x])/(2*x^2) - (Sqrt[a]*(15*b^2*c^2 + 10*a*b*c*d - a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*c^(3/2)) + (b^(3/2)*(b*c + 5*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/Sqrt[d]","A",9,9,22,0.4091,1,"{97, 149, 154, 157, 63, 217, 206, 93, 208}"
653,1,228,0,0.1868123,"\int \frac{(a+b x)^{5/2} \sqrt{c+d x}}{x^4} \, dx","Int[((a + b*x)^(5/2)*Sqrt[c + d*x])/x^4,x]","-\frac{\left(-5 a^2 b c d^2+a^3 d^3+15 a b^2 c^2 d+5 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 \sqrt{a} c^{5/2}}+2 b^{5/2} \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{\sqrt{a+b x} \sqrt{c+d x} (5 b c-a d) (a d+b c)}{8 c^2 x}-\frac{(a+b x)^{5/2} \sqrt{c+d x}}{3 x^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (a d+5 b c)}{12 c x^2}","-\frac{\left(-5 a^2 b c d^2+a^3 d^3+15 a b^2 c^2 d+5 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 \sqrt{a} c^{5/2}}+2 b^{5/2} \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{\sqrt{a+b x} \sqrt{c+d x} (5 b c-a d) (a d+b c)}{8 c^2 x}-\frac{(a+b x)^{5/2} \sqrt{c+d x}}{3 x^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (a d+5 b c)}{12 c x^2}",1,"-((5*b*c - a*d)*(b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*c^2*x) - ((5*b*c + a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(12*c*x^2) - ((a + b*x)^(5/2)*Sqrt[c + d*x])/(3*x^3) - ((5*b^3*c^3 + 15*a*b^2*c^2*d - 5*a^2*b*c*d^2 + a^3*d^3)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*Sqrt[a]*c^(5/2)) + 2*b^(5/2)*Sqrt[d]*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])]","A",9,8,22,0.3636,1,"{97, 149, 157, 63, 217, 206, 93, 208}"
654,1,198,0,0.0954091,"\int \frac{(a+b x)^{5/2} \sqrt{c+d x}}{x^5} \, dx","Int[((a + b*x)^(5/2)*Sqrt[c + d*x])/x^5,x]","\frac{5 (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{3/2} c^{7/2}}-\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}{32 c^3 x^2}-\frac{5 (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}{24 c^2 x^3}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^3}{64 a c^3 x}-\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{4 c x^4}","\frac{5 (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{3/2} c^{7/2}}-\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}{32 c^3 x^2}-\frac{5 (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}{24 c^2 x^3}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^3}{64 a c^3 x}-\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{4 c x^4}",1,"(-5*(b*c - a*d)^3*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*a*c^3*x) - (5*(b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(3/2))/(32*c^3*x^2) - (5*(b*c - a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(24*c^2*x^3) - ((a + b*x)^(5/2)*(c + d*x)^(3/2))/(4*c*x^4) + (5*(b*c - a*d)^4*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(3/2)*c^(7/2))","A",6,3,22,0.1364,1,"{94, 93, 208}"
655,1,283,0,0.1526931,"\int \frac{(a+b x)^{5/2} \sqrt{c+d x}}{x^6} \, dx","Int[((a + b*x)^(5/2)*Sqrt[c + d*x])/x^6,x]","\frac{\sqrt{a+b x} \sqrt{c+d x} (7 a d+3 b c) (b c-a d)^3}{128 a^2 c^4 x}-\frac{(7 a d+3 b c) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{5/2} c^{9/2}}+\frac{\sqrt{a+b x} (c+d x)^{3/2} (7 a d+3 b c) (b c-a d)^2}{64 a c^4 x^2}+\frac{(a+b x)^{3/2} (c+d x)^{3/2} (7 a d+3 b c) (b c-a d)}{48 a c^3 x^3}+\frac{(a+b x)^{5/2} (c+d x)^{3/2} (7 a d+3 b c)}{40 a c^2 x^4}-\frac{(a+b x)^{7/2} (c+d x)^{3/2}}{5 a c x^5}","\frac{\sqrt{a+b x} \sqrt{c+d x} (7 a d+3 b c) (b c-a d)^3}{128 a^2 c^4 x}-\frac{(7 a d+3 b c) (b c-a d)^4 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{5/2} c^{9/2}}+\frac{\sqrt{a+b x} (c+d x)^{3/2} (7 a d+3 b c) (b c-a d)^2}{64 a c^4 x^2}+\frac{(a+b x)^{3/2} (c+d x)^{3/2} (7 a d+3 b c) (b c-a d)}{48 a c^3 x^3}+\frac{(a+b x)^{5/2} (c+d x)^{3/2} (7 a d+3 b c)}{40 a c^2 x^4}-\frac{(a+b x)^{7/2} (c+d x)^{3/2}}{5 a c x^5}",1,"((b*c - a*d)^3*(3*b*c + 7*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*a^2*c^4*x) + ((b*c - a*d)^2*(3*b*c + 7*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(64*a*c^4*x^2) + ((b*c - a*d)*(3*b*c + 7*a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(48*a*c^3*x^3) + ((3*b*c + 7*a*d)*(a + b*x)^(5/2)*(c + d*x)^(3/2))/(40*a*c^2*x^4) - ((a + b*x)^(7/2)*(c + d*x)^(3/2))/(5*a*c*x^5) - ((b*c - a*d)^4*(3*b*c + 7*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(128*a^(5/2)*c^(9/2))","A",7,4,22,0.1818,1,"{96, 94, 93, 208}"
656,1,437,0,0.4418996,"\int x^2 (a+b x)^{5/2} (c+d x)^{3/2} \, dx","Int[x^2*(a + b*x)^(5/2)*(c + d*x)^(3/2),x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(5 a^2 d^2+10 a b c d+9 b^2 c^2\right) (b c-a d)^4}{1024 b^4 d^5}-\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(5 a^2 d^2+10 a b c d+9 b^2 c^2\right) (b c-a d)^3}{1536 b^4 d^4}+\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(5 a^2 d^2+10 a b c d+9 b^2 c^2\right) (b c-a d)^2}{1920 b^4 d^3}+\frac{(a+b x)^{7/2} \sqrt{c+d x} \left(5 a^2 d^2+10 a b c d+9 b^2 c^2\right) (b c-a d)}{320 b^4 d^2}+\frac{(a+b x)^{7/2} (c+d x)^{3/2} \left(5 a^2 d^2+10 a b c d+9 b^2 c^2\right)}{120 b^3 d^2}-\frac{\left(5 a^2 d^2+10 a b c d+9 b^2 c^2\right) (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{1024 b^{9/2} d^{11/2}}-\frac{(a+b x)^{7/2} (c+d x)^{5/2} (7 a d+9 b c)}{84 b^2 d^2}+\frac{x (a+b x)^{7/2} (c+d x)^{5/2}}{7 b d}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(5 a^2 d^2+10 a b c d+9 b^2 c^2\right) (b c-a d)^4}{1024 b^4 d^5}-\frac{(a+b x)^{3/2} \sqrt{c+d x} \left(5 a^2 d^2+10 a b c d+9 b^2 c^2\right) (b c-a d)^3}{1536 b^4 d^4}+\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(5 a^2 d^2+10 a b c d+9 b^2 c^2\right) (b c-a d)^2}{1920 b^4 d^3}+\frac{(a+b x)^{7/2} \sqrt{c+d x} \left(5 a^2 d^2+10 a b c d+9 b^2 c^2\right) (b c-a d)}{320 b^4 d^2}+\frac{(a+b x)^{7/2} (c+d x)^{3/2} \left(5 a^2 d^2+10 a b c d+9 b^2 c^2\right)}{120 b^3 d^2}-\frac{\left(5 a^2 d^2+10 a b c d+9 b^2 c^2\right) (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{1024 b^{9/2} d^{11/2}}-\frac{(a+b x)^{7/2} (c+d x)^{5/2} (7 a d+9 b c)}{84 b^2 d^2}+\frac{x (a+b x)^{7/2} (c+d x)^{5/2}}{7 b d}",1,"((b*c - a*d)^4*(9*b^2*c^2 + 10*a*b*c*d + 5*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(1024*b^4*d^5) - ((b*c - a*d)^3*(9*b^2*c^2 + 10*a*b*c*d + 5*a^2*d^2)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(1536*b^4*d^4) + ((b*c - a*d)^2*(9*b^2*c^2 + 10*a*b*c*d + 5*a^2*d^2)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(1920*b^4*d^3) + ((b*c - a*d)*(9*b^2*c^2 + 10*a*b*c*d + 5*a^2*d^2)*(a + b*x)^(7/2)*Sqrt[c + d*x])/(320*b^4*d^2) + ((9*b^2*c^2 + 10*a*b*c*d + 5*a^2*d^2)*(a + b*x)^(7/2)*(c + d*x)^(3/2))/(120*b^3*d^2) - ((9*b*c + 7*a*d)*(a + b*x)^(7/2)*(c + d*x)^(5/2))/(84*b^2*d^2) + (x*(a + b*x)^(7/2)*(c + d*x)^(5/2))/(7*b*d) - ((b*c - a*d)^5*(9*b^2*c^2 + 10*a*b*c*d + 5*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(1024*b^(9/2)*d^(11/2))","A",10,6,22,0.2727,1,"{90, 80, 50, 63, 217, 206}"
657,1,315,0,0.1952586,"\int x (a+b x)^{5/2} (c+d x)^{3/2} \, dx","Int[x*(a + b*x)^(5/2)*(c + d*x)^(3/2),x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} (5 a d+7 b c) (b c-a d)^4}{512 b^3 d^4}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (5 a d+7 b c) (b c-a d)^3}{768 b^3 d^3}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (5 a d+7 b c) (b c-a d)^2}{960 b^3 d^2}+\frac{(5 a d+7 b c) (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{512 b^{7/2} d^{9/2}}-\frac{(a+b x)^{7/2} \sqrt{c+d x} (5 a d+7 b c) (b c-a d)}{160 b^3 d}-\frac{(a+b x)^{7/2} (c+d x)^{3/2} (5 a d+7 b c)}{60 b^2 d}+\frac{(a+b x)^{7/2} (c+d x)^{5/2}}{6 b d}","-\frac{\sqrt{a+b x} \sqrt{c+d x} (5 a d+7 b c) (b c-a d)^4}{512 b^3 d^4}+\frac{(a+b x)^{3/2} \sqrt{c+d x} (5 a d+7 b c) (b c-a d)^3}{768 b^3 d^3}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (5 a d+7 b c) (b c-a d)^2}{960 b^3 d^2}+\frac{(5 a d+7 b c) (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{512 b^{7/2} d^{9/2}}-\frac{(a+b x)^{7/2} \sqrt{c+d x} (5 a d+7 b c) (b c-a d)}{160 b^3 d}-\frac{(a+b x)^{7/2} (c+d x)^{3/2} (5 a d+7 b c)}{60 b^2 d}+\frac{(a+b x)^{7/2} (c+d x)^{5/2}}{6 b d}",1,"-((b*c - a*d)^4*(7*b*c + 5*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(512*b^3*d^4) + ((b*c - a*d)^3*(7*b*c + 5*a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(768*b^3*d^3) - ((b*c - a*d)^2*(7*b*c + 5*a*d)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(960*b^3*d^2) - ((b*c - a*d)*(7*b*c + 5*a*d)*(a + b*x)^(7/2)*Sqrt[c + d*x])/(160*b^3*d) - ((7*b*c + 5*a*d)*(a + b*x)^(7/2)*(c + d*x)^(3/2))/(60*b^2*d) + ((a + b*x)^(7/2)*(c + d*x)^(5/2))/(6*b*d) + ((b*c - a*d)^5*(7*b*c + 5*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(512*b^(7/2)*d^(9/2))","A",9,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
658,1,227,0,0.1264934,"\int (a+b x)^{5/2} (c+d x)^{3/2} \, dx","Int[(a + b*x)^(5/2)*(c + d*x)^(3/2),x]","\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^4}{128 b^2 d^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (b c-a d)^3}{64 b^2 d^2}-\frac{3 (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{5/2} d^{7/2}}+\frac{(a+b x)^{5/2} \sqrt{c+d x} (b c-a d)^2}{80 b^2 d}+\frac{3 (a+b x)^{7/2} \sqrt{c+d x} (b c-a d)}{40 b^2}+\frac{(a+b x)^{7/2} (c+d x)^{3/2}}{5 b}","\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^4}{128 b^2 d^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (b c-a d)^3}{64 b^2 d^2}-\frac{3 (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{5/2} d^{7/2}}+\frac{(a+b x)^{5/2} \sqrt{c+d x} (b c-a d)^2}{80 b^2 d}+\frac{3 (a+b x)^{7/2} \sqrt{c+d x} (b c-a d)}{40 b^2}+\frac{(a+b x)^{7/2} (c+d x)^{3/2}}{5 b}",1,"(3*(b*c - a*d)^4*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*b^2*d^3) - ((b*c - a*d)^3*(a + b*x)^(3/2)*Sqrt[c + d*x])/(64*b^2*d^2) + ((b*c - a*d)^2*(a + b*x)^(5/2)*Sqrt[c + d*x])/(80*b^2*d) + (3*(b*c - a*d)*(a + b*x)^(7/2)*Sqrt[c + d*x])/(40*b^2) + ((a + b*x)^(7/2)*(c + d*x)^(3/2))/(5*b) - (3*(b*c - a*d)^5*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(128*b^(5/2)*d^(7/2))","A",8,4,19,0.2105,1,"{50, 63, 217, 206}"
659,1,294,0,0.3784579,"\int \frac{(a+b x)^{5/2} (c+d x)^{3/2}}{x} \, dx","Int[((a + b*x)^(5/2)*(c + d*x)^(3/2))/x,x]","\frac{1}{64} \sqrt{a+b x} \sqrt{c+d x} \left(\frac{5 a^3 d}{b}+73 a^2 c-\frac{17 a b c^2}{d}+\frac{3 b^2 c^3}{d^2}\right)+\frac{\left(90 a^2 b^2 c^2 d^2+60 a^3 b c d^3-5 a^4 d^4-20 a b^3 c^3 d+3 b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{3/2} d^{5/2}}-2 a^{5/2} c^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)-\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-5 a d) (a d+3 b c)}{32 d^2}+\frac{1}{4} (a+b x)^{5/2} (c+d x)^{3/2}+\frac{(a+b x)^{3/2} (c+d x)^{3/2} (5 a d+3 b c)}{24 d}","\frac{\left(90 a^2 b^2 c^2 d^2+60 a^3 b c d^3-5 a^4 d^4-20 a b^3 c^3 d+3 b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{3/2} d^{5/2}}-2 a^{5/2} c^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(64 a^2 b c d^2+(b c-5 a d) (b c-a d) (a d+3 b c)\right)}{64 b d^2}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-5 a d) (a d+3 b c)}{32 d^2}+\frac{1}{4} (a+b x)^{5/2} (c+d x)^{3/2}+\frac{(a+b x)^{3/2} (c+d x)^{3/2} (5 a d+3 b c)}{24 d}",1,"((73*a^2*c + (3*b^2*c^3)/d^2 - (17*a*b*c^2)/d + (5*a^3*d)/b)*Sqrt[a + b*x]*Sqrt[c + d*x])/64 - ((b*c - 5*a*d)*(3*b*c + a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(32*d^2) + ((3*b*c + 5*a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(24*d) + ((a + b*x)^(5/2)*(c + d*x)^(3/2))/4 - 2*a^(5/2)*c^(3/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])] + ((3*b^4*c^4 - 20*a*b^3*c^3*d + 90*a^2*b^2*c^2*d^2 + 60*a^3*b*c*d^3 - 5*a^4*d^4)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(3/2)*d^(5/2))","A",10,8,22,0.3636,1,"{101, 154, 157, 63, 217, 206, 93, 208}"
660,1,259,0,0.2801578,"\int \frac{(a+b x)^{5/2} (c+d x)^{3/2}}{x^2} \, dx","Int[((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^2,x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-19 a^2 d^2-14 a b c d+b^2 c^2\right)}{8 d}-\frac{\left(-45 a^2 b c d^2-5 a^3 d^3-15 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 \sqrt{b} d^{3/2}}-a^{3/2} \sqrt{c} (3 a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)-\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{x}+\frac{4}{3} b (a+b x)^{3/2} (c+d x)^{3/2}+\frac{b \sqrt{a+b x} (c+d x)^{3/2} (7 a d+b c)}{4 d}","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-19 a^2 d^2-14 a b c d+b^2 c^2\right)}{8 d}-\frac{\left(-45 a^2 b c d^2-5 a^3 d^3-15 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 \sqrt{b} d^{3/2}}-a^{3/2} \sqrt{c} (3 a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)-\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{x}+\frac{4}{3} b (a+b x)^{3/2} (c+d x)^{3/2}+\frac{b \sqrt{a+b x} (c+d x)^{3/2} (7 a d+b c)}{4 d}",1,"-((b^2*c^2 - 14*a*b*c*d - 19*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*d) + (b*(b*c + 7*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(4*d) + (4*b*(a + b*x)^(3/2)*(c + d*x)^(3/2))/3 - ((a + b*x)^(5/2)*(c + d*x)^(3/2))/x - a^(3/2)*Sqrt[c]*(5*b*c + 3*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])] - ((b^3*c^3 - 15*a*b^2*c^2*d - 45*a^2*b*c*d^2 - 5*a^3*d^3)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*Sqrt[b]*d^(3/2))","A",10,8,22,0.3636,1,"{97, 154, 157, 63, 217, 206, 93, 208}"
661,1,275,0,0.2664471,"\int \frac{(a+b x)^{5/2} (c+d x)^{3/2}}{x^3} \, dx","Int[((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^3,x]","\frac{3 \sqrt{a+b x} \sqrt{c+d x} \left(a^2 d^2+6 a b c d+b^2 c^2\right)}{4 c}-\frac{3 \sqrt{a} \left(a^2 d^2+10 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 \sqrt{c}}+\frac{3 \sqrt{b} \left(5 a^2 d^2+10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 \sqrt{d}}-\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{2 x^2}-\frac{(a+b x)^{3/2} (c+d x)^{3/2} (3 a d+5 b c)}{4 c x}+\frac{3 b \sqrt{a+b x} (c+d x)^{3/2} (a d+3 b c)}{4 c}","\frac{3 \sqrt{a+b x} \sqrt{c+d x} \left(a^2 d^2+6 a b c d+b^2 c^2\right)}{4 c}-\frac{3 \sqrt{a} \left(a^2 d^2+10 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 \sqrt{c}}+\frac{3 \sqrt{b} \left(5 a^2 d^2+10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 \sqrt{d}}-\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{2 x^2}-\frac{(a+b x)^{3/2} (c+d x)^{3/2} (3 a d+5 b c)}{4 c x}+\frac{3 b \sqrt{a+b x} (c+d x)^{3/2} (a d+3 b c)}{4 c}",1,"(3*(b^2*c^2 + 6*a*b*c*d + a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*c) + (3*b*(3*b*c + a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(4*c) - ((5*b*c + 3*a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(4*c*x) - ((a + b*x)^(5/2)*(c + d*x)^(3/2))/(2*x^2) - (3*Sqrt[a]*(5*b^2*c^2 + 10*a*b*c*d + a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*Sqrt[c]) + (3*Sqrt[b]*(b^2*c^2 + 10*a*b*c*d + 5*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*Sqrt[d])","A",10,9,22,0.4091,1,"{97, 149, 154, 157, 63, 217, 206, 93, 208}"
662,1,294,0,0.3155309,"\int \frac{(a+b x)^{5/2} (c+d x)^{3/2}}{x^4} \, dx","Int[((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^4,x]","-\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(-a^2 d^2+12 a b c d+5 b^2 c^2\right)}{8 c^2 x}+\frac{d \sqrt{a+b x} \sqrt{c+d x} \left(-a^2 d^2+14 a b c d+19 b^2 c^2\right)}{8 c^2}-\frac{\left(15 a^2 b c d^2-a^3 d^3+45 a b^2 c^2 d+5 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 \sqrt{a} c^{3/2}}+b^{3/2} \sqrt{d} (5 a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{3 x^3}-\frac{(a+b x)^{3/2} (c+d x)^{3/2} (3 a d+5 b c)}{12 c x^2}","-\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(-a^2 d^2+12 a b c d+5 b^2 c^2\right)}{8 c^2 x}+\frac{d \sqrt{a+b x} \sqrt{c+d x} \left(-a^2 d^2+14 a b c d+19 b^2 c^2\right)}{8 c^2}-\frac{\left(15 a^2 b c d^2-a^3 d^3+45 a b^2 c^2 d+5 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 \sqrt{a} c^{3/2}}+b^{3/2} \sqrt{d} (5 a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{3 x^3}-\frac{(a+b x)^{3/2} (c+d x)^{3/2} (3 a d+5 b c)}{12 c x^2}",1,"(d*(19*b^2*c^2 + 14*a*b*c*d - a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*c^2) - ((5*b^2*c^2 + 12*a*b*c*d - a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(8*c^2*x) - ((5*b*c + 3*a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(12*c*x^2) - ((a + b*x)^(5/2)*(c + d*x)^(3/2))/(3*x^3) - ((5*b^3*c^3 + 45*a*b^2*c^2*d + 15*a^2*b*c*d^2 - a^3*d^3)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*Sqrt[a]*c^(3/2)) + b^(3/2)*Sqrt[d]*(3*b*c + 5*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])]","A",10,9,22,0.4091,1,"{97, 149, 154, 157, 63, 217, 206, 93, 208}"
663,1,313,0,0.3162931,"\int \frac{(a+b x)^{5/2} (c+d x)^{3/2}}{x^5} \, dx","Int[((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^5,x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-17 a^2 b c d^2+3 a^3 d^3+73 a b^2 c^2 d+5 b^3 c^3\right)}{64 a c^2 x}+\frac{\left(-90 a^2 b^2 c^2 d^2+20 a^3 b c d^3-3 a^4 d^4-60 a b^3 c^3 d+5 b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{3/2} c^{5/2}}+2 b^{5/2} d^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 b c-a d) (3 a d+b c)}{32 c^2 x^2}-\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{4 x^4}-\frac{(a+b x)^{3/2} (c+d x)^{3/2} (3 a d+5 b c)}{24 c x^3}","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-17 a^2 b c d^2+3 a^3 d^3+73 a b^2 c^2 d+5 b^3 c^3\right)}{64 a c^2 x}+\frac{\left(-90 a^2 b^2 c^2 d^2+20 a^3 b c d^3-3 a^4 d^4-60 a b^3 c^3 d+5 b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{3/2} c^{5/2}}+2 b^{5/2} d^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 b c-a d) (3 a d+b c)}{32 c^2 x^2}-\frac{(a+b x)^{5/2} (c+d x)^{3/2}}{4 x^4}-\frac{(a+b x)^{3/2} (c+d x)^{3/2} (3 a d+5 b c)}{24 c x^3}",1,"-((5*b^3*c^3 + 73*a*b^2*c^2*d - 17*a^2*b*c*d^2 + 3*a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*a*c^2*x) - ((5*b*c - a*d)*(b*c + 3*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(32*c^2*x^2) - ((5*b*c + 3*a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2))/(24*c*x^3) - ((a + b*x)^(5/2)*(c + d*x)^(3/2))/(4*x^4) + ((5*b^4*c^4 - 60*a*b^3*c^3*d - 90*a^2*b^2*c^2*d^2 + 20*a^3*b*c*d^3 - 3*a^4*d^4)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(3/2)*c^(5/2)) + 2*b^(5/2)*d^(3/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])]","A",10,8,22,0.3636,1,"{97, 149, 157, 63, 217, 206, 93, 208}"
664,1,239,0,0.1311304,"\int \frac{(a+b x)^{5/2} (c+d x)^{3/2}}{x^6} \, dx","Int[((a + b*x)^(5/2)*(c + d*x)^(3/2))/x^6,x]","\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^4}{128 a^2 c^3 x}-\frac{3 (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{5/2} c^{7/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^3}{64 a c^3 x^2}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (b c-a d)^2}{16 c^3 x^3}-\frac{(a+b x)^{3/2} (c+d x)^{5/2} (b c-a d)}{8 c^2 x^4}-\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{5 c x^5}","\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^4}{128 a^2 c^3 x}-\frac{3 (b c-a d)^5 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{5/2} c^{7/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^3}{64 a c^3 x^2}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (b c-a d)^2}{16 c^3 x^3}-\frac{(a+b x)^{3/2} (c+d x)^{5/2} (b c-a d)}{8 c^2 x^4}-\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{5 c x^5}",1,"(3*(b*c - a*d)^4*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*a^2*c^3*x) - ((b*c - a*d)^3*Sqrt[a + b*x]*(c + d*x)^(3/2))/(64*a*c^3*x^2) - ((b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(5/2))/(16*c^3*x^3) - ((b*c - a*d)*(a + b*x)^(3/2)*(c + d*x)^(5/2))/(8*c^2*x^4) - ((a + b*x)^(5/2)*(c + d*x)^(5/2))/(5*c*x^5) - (3*(b*c - a*d)^5*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(128*a^(5/2)*c^(7/2))","A",7,3,22,0.1364,1,"{94, 93, 208}"
665,1,348,0,0.2480559,"\int x (a+b x)^{5/2} (c+d x)^{5/2} \, dx","Int[x*(a + b*x)^(5/2)*(c + d*x)^(5/2),x]","-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (a d+b c) (b c-a d)^5}{1024 b^4 d^4}+\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (a d+b c) (b c-a d)^4}{1536 b^4 d^3}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (a d+b c) (b c-a d)^3}{384 b^4 d^2}+\frac{5 (a d+b c) (b c-a d)^6 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{1024 b^{9/2} d^{9/2}}-\frac{(a+b x)^{7/2} \sqrt{c+d x} (a d+b c) (b c-a d)^2}{64 b^4 d}-\frac{(a+b x)^{7/2} (c+d x)^{3/2} (a d+b c) (b c-a d)}{24 b^3 d}-\frac{(a+b x)^{7/2} (c+d x)^{5/2} (a d+b c)}{12 b^2 d}+\frac{(a+b x)^{7/2} (c+d x)^{7/2}}{7 b d}","-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (a d+b c) (b c-a d)^5}{1024 b^4 d^4}+\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (a d+b c) (b c-a d)^4}{1536 b^4 d^3}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (a d+b c) (b c-a d)^3}{384 b^4 d^2}+\frac{5 (a d+b c) (b c-a d)^6 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{1024 b^{9/2} d^{9/2}}-\frac{(a+b x)^{7/2} \sqrt{c+d x} (a d+b c) (b c-a d)^2}{64 b^4 d}-\frac{(a+b x)^{7/2} (c+d x)^{3/2} (a d+b c) (b c-a d)}{24 b^3 d}-\frac{(a+b x)^{7/2} (c+d x)^{5/2} (a d+b c)}{12 b^2 d}+\frac{(a+b x)^{7/2} (c+d x)^{7/2}}{7 b d}",1,"(-5*(b*c - a*d)^5*(b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(1024*b^4*d^4) + (5*(b*c - a*d)^4*(b*c + a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(1536*b^4*d^3) - ((b*c - a*d)^3*(b*c + a*d)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(384*b^4*d^2) - ((b*c - a*d)^2*(b*c + a*d)*(a + b*x)^(7/2)*Sqrt[c + d*x])/(64*b^4*d) - ((b*c - a*d)*(b*c + a*d)*(a + b*x)^(7/2)*(c + d*x)^(3/2))/(24*b^3*d) - ((b*c + a*d)*(a + b*x)^(7/2)*(c + d*x)^(5/2))/(12*b^2*d) + ((a + b*x)^(7/2)*(c + d*x)^(7/2))/(7*b*d) + (5*(b*c - a*d)^6*(b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(1024*b^(9/2)*d^(9/2))","A",10,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
666,1,262,0,0.1525771,"\int (a+b x)^{5/2} (c+d x)^{5/2} \, dx","Int[(a + b*x)^(5/2)*(c + d*x)^(5/2),x]","\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^5}{512 b^3 d^3}-\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (b c-a d)^4}{768 b^3 d^2}-\frac{5 (b c-a d)^6 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{512 b^{7/2} d^{7/2}}+\frac{(a+b x)^{5/2} \sqrt{c+d x} (b c-a d)^3}{192 b^3 d}+\frac{(a+b x)^{7/2} \sqrt{c+d x} (b c-a d)^2}{32 b^3}+\frac{(a+b x)^{7/2} (c+d x)^{3/2} (b c-a d)}{12 b^2}+\frac{(a+b x)^{7/2} (c+d x)^{5/2}}{6 b}","\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^5}{512 b^3 d^3}-\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (b c-a d)^4}{768 b^3 d^2}-\frac{5 (b c-a d)^6 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{512 b^{7/2} d^{7/2}}+\frac{(a+b x)^{5/2} \sqrt{c+d x} (b c-a d)^3}{192 b^3 d}+\frac{(a+b x)^{7/2} \sqrt{c+d x} (b c-a d)^2}{32 b^3}+\frac{(a+b x)^{7/2} (c+d x)^{3/2} (b c-a d)}{12 b^2}+\frac{(a+b x)^{7/2} (c+d x)^{5/2}}{6 b}",1,"(5*(b*c - a*d)^5*Sqrt[a + b*x]*Sqrt[c + d*x])/(512*b^3*d^3) - (5*(b*c - a*d)^4*(a + b*x)^(3/2)*Sqrt[c + d*x])/(768*b^3*d^2) + ((b*c - a*d)^3*(a + b*x)^(5/2)*Sqrt[c + d*x])/(192*b^3*d) + ((b*c - a*d)^2*(a + b*x)^(7/2)*Sqrt[c + d*x])/(32*b^3) + ((b*c - a*d)*(a + b*x)^(7/2)*(c + d*x)^(3/2))/(12*b^2) + ((a + b*x)^(7/2)*(c + d*x)^(5/2))/(6*b) - (5*(b*c - a*d)^6*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(512*b^(7/2)*d^(7/2))","A",9,4,19,0.2105,1,"{50, 63, 217, 206}"
667,1,391,0,0.429556,"\int \frac{(a+b x)^{5/2} (c+d x)^{5/2}}{x} \, dx","Int[((a + b*x)^(5/2)*(c + d*x)^(5/2))/x,x]","-\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(-3 a^2 d^2-16 a b c d+3 b^2 c^2\right)}{48 d^2}+\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(109 a^2 b c d^2+3 a^3 d^3-19 a b^2 c^2 d+3 b^3 c^3\right)}{192 b d^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(128 a^2 b^2 c^2 d^2+22 a^3 b c d^3-3 a^4 d^4-22 a b^3 c^3 d+3 b^4 c^4\right)}{128 b^2 d^2}+\frac{(a d+b c) \left(178 a^2 b^2 c^2 d^2-28 a^3 b c d^3+3 a^4 d^4-28 a b^3 c^3 d+3 b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{5/2} d^{5/2}}-2 a^{5/2} c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{1}{5} (a+b x)^{5/2} (c+d x)^{5/2}+\frac{(a+b x)^{3/2} (c+d x)^{5/2} (a d+b c)}{8 d}","-\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(-3 a^2 d^2-16 a b c d+3 b^2 c^2\right)}{48 d^2}+\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(109 a^2 b c d^2+3 a^3 d^3-19 a b^2 c^2 d+3 b^3 c^3\right)}{192 b d^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(128 a^2 b^2 c^2 d^2+22 a^3 b c d^3-3 a^4 d^4-22 a b^3 c^3 d+3 b^4 c^4\right)}{128 b^2 d^2}+\frac{(a d+b c) \left(178 a^2 b^2 c^2 d^2-28 a^3 b c d^3+3 a^4 d^4-28 a b^3 c^3 d+3 b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{5/2} d^{5/2}}-2 a^{5/2} c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)+\frac{1}{5} (a+b x)^{5/2} (c+d x)^{5/2}+\frac{(a+b x)^{3/2} (c+d x)^{5/2} (a d+b c)}{8 d}",1,"((3*b^4*c^4 - 22*a*b^3*c^3*d + 128*a^2*b^2*c^2*d^2 + 22*a^3*b*c*d^3 - 3*a^4*d^4)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*b^2*d^2) + ((3*b^3*c^3 - 19*a*b^2*c^2*d + 109*a^2*b*c*d^2 + 3*a^3*d^3)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(192*b*d^2) - ((3*b^2*c^2 - 16*a*b*c*d - 3*a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(48*d^2) + ((b*c + a*d)*(a + b*x)^(3/2)*(c + d*x)^(5/2))/(8*d) + ((a + b*x)^(5/2)*(c + d*x)^(5/2))/5 - 2*a^(5/2)*c^(5/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])] + ((b*c + a*d)*(3*b^4*c^4 - 28*a*b^3*c^3*d + 178*a^2*b^2*c^2*d^2 - 28*a^3*b*c*d^3 + 3*a^4*d^4)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(128*b^(5/2)*d^(5/2))","A",11,8,22,0.3636,1,"{101, 154, 157, 63, 217, 206, 93, 208}"
668,1,334,0,0.3884898,"\int \frac{(a+b x)^{5/2} (c+d x)^{5/2}}{x^2} \, dx","Int[((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^2,x]","-\frac{5 \sqrt{a+b x} (c+d x)^{3/2} \left(-31 a^2 d^2-18 a b c d+b^2 c^2\right)}{96 d}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} \left(-45 a^2 b c d^2-a^3 d^3-19 a b^2 c^2 d+b^3 c^3\right)}{64 b d}-\frac{5 \left(-90 a^2 b^2 c^2 d^2-20 a^3 b c d^3+a^4 d^4-20 a b^3 c^3 d+b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{3/2} d^{3/2}}-5 a^{3/2} c^{3/2} (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)-\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{x}+\frac{5}{4} b (a+b x)^{3/2} (c+d x)^{5/2}+\frac{5 b \sqrt{a+b x} (c+d x)^{5/2} (7 a d+b c)}{24 d}","-\frac{5 \sqrt{a+b x} (c+d x)^{3/2} \left(-31 a^2 d^2-18 a b c d+b^2 c^2\right)}{96 d}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} \left(-45 a^2 b c d^2-a^3 d^3-19 a b^2 c^2 d+b^3 c^3\right)}{64 b d}-\frac{5 \left(-90 a^2 b^2 c^2 d^2-20 a^3 b c d^3+a^4 d^4-20 a b^3 c^3 d+b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{3/2} d^{3/2}}-5 a^{3/2} c^{3/2} (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)-\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{x}+\frac{5}{4} b (a+b x)^{3/2} (c+d x)^{5/2}+\frac{5 b \sqrt{a+b x} (c+d x)^{5/2} (7 a d+b c)}{24 d}",1,"(-5*(b^3*c^3 - 19*a*b^2*c^2*d - 45*a^2*b*c*d^2 - a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b*d) - (5*(b^2*c^2 - 18*a*b*c*d - 31*a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(96*d) + (5*b*(b*c + 7*a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(24*d) + (5*b*(a + b*x)^(3/2)*(c + d*x)^(5/2))/4 - ((a + b*x)^(5/2)*(c + d*x)^(5/2))/x - 5*a^(3/2)*c^(3/2)*(b*c + a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])] - (5*(b^4*c^4 - 20*a*b^3*c^3*d - 90*a^2*b^2*c^2*d^2 - 20*a^3*b*c*d^3 + a^4*d^4)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(3/2)*d^(3/2))","A",11,8,22,0.3636,1,"{97, 154, 157, 63, 217, 206, 93, 208}"
669,1,319,0,0.3874095,"\int \frac{(a+b x)^{5/2} (c+d x)^{5/2}}{x^3} \, dx","Int[((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^3,x]","\frac{5 \sqrt{a+b x} (c+d x)^{3/2} \left(3 a^2 d^2+8 a b c d+b^2 c^2\right)}{12 c}+\frac{5}{8} \sqrt{a+b x} \sqrt{c+d x} \left(5 a^2 d^2+10 a b c d+b^2 c^2\right)+\frac{5 (a d+b c) \left(a^2 d^2+14 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 \sqrt{b} \sqrt{d}}-\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{2 x^2}-\frac{5 (a+b x)^{3/2} (c+d x)^{5/2} (a d+b c)}{4 c x}+\frac{5 b \sqrt{a+b x} (c+d x)^{5/2} (3 a d+5 b c)}{12 c}-\frac{5}{4} \sqrt{a} \sqrt{c} (a d+3 b c) (3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)","\frac{5 \sqrt{a+b x} (c+d x)^{3/2} \left(3 a^2 d^2+8 a b c d+b^2 c^2\right)}{12 c}+\frac{5}{8} \sqrt{a+b x} \sqrt{c+d x} \left(5 a^2 d^2+10 a b c d+b^2 c^2\right)+\frac{5 (a d+b c) \left(a^2 d^2+14 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 \sqrt{b} \sqrt{d}}-\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{2 x^2}-\frac{5 (a+b x)^{3/2} (c+d x)^{5/2} (a d+b c)}{4 c x}+\frac{5 b \sqrt{a+b x} (c+d x)^{5/2} (3 a d+5 b c)}{12 c}-\frac{5}{4} \sqrt{a} \sqrt{c} (a d+3 b c) (3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)",1,"(5*(b^2*c^2 + 10*a*b*c*d + 5*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/8 + (5*(b^2*c^2 + 8*a*b*c*d + 3*a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(12*c) + (5*b*(5*b*c + 3*a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(12*c) - (5*(b*c + a*d)*(a + b*x)^(3/2)*(c + d*x)^(5/2))/(4*c*x) - ((a + b*x)^(5/2)*(c + d*x)^(5/2))/(2*x^2) - (5*Sqrt[a]*Sqrt[c]*(3*b*c + a*d)*(b*c + 3*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/4 + (5*(b*c + a*d)*(b^2*c^2 + 14*a*b*c*d + a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*Sqrt[b]*Sqrt[d])","A",11,9,22,0.4091,1,"{97, 149, 154, 157, 63, 217, 206, 93, 208}"
670,1,339,0,0.4064166,"\int \frac{(a+b x)^{5/2} (c+d x)^{5/2}}{x^4} \, dx","Int[((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^4,x]","-\frac{5 \sqrt{a+b x} (c+d x)^{5/2} \left(a^2 d^2+12 a b c d+3 b^2 c^2\right)}{24 c^2 x}+\frac{5 d \sqrt{a+b x} (c+d x)^{3/2} \left(a^2 d^2+14 a b c d+9 b^2 c^2\right)}{24 c^2}+\frac{5 d \sqrt{a+b x} \sqrt{c+d x} \left(a^2 d^2+10 a b c d+5 b^2 c^2\right)}{8 c}-\frac{5 (a d+b c) \left(a^2 d^2+14 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 \sqrt{a} \sqrt{c}}-\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{3 x^3}-\frac{5 (a+b x)^{3/2} (c+d x)^{5/2} (a d+b c)}{12 c x^2}+\frac{5}{4} \sqrt{b} \sqrt{d} (a d+3 b c) (3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)","-\frac{5 \sqrt{a+b x} (c+d x)^{5/2} \left(a^2 d^2+12 a b c d+3 b^2 c^2\right)}{24 c^2 x}+\frac{5 d \sqrt{a+b x} (c+d x)^{3/2} \left(a^2 d^2+14 a b c d+9 b^2 c^2\right)}{24 c^2}+\frac{5 d \sqrt{a+b x} \sqrt{c+d x} \left(a^2 d^2+10 a b c d+5 b^2 c^2\right)}{8 c}-\frac{5 (a d+b c) \left(a^2 d^2+14 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 \sqrt{a} \sqrt{c}}-\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{3 x^3}-\frac{5 (a+b x)^{3/2} (c+d x)^{5/2} (a d+b c)}{12 c x^2}+\frac{5}{4} \sqrt{b} \sqrt{d} (a d+3 b c) (3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)",1,"(5*d*(5*b^2*c^2 + 10*a*b*c*d + a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*c) + (5*d*(9*b^2*c^2 + 14*a*b*c*d + a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(24*c^2) - (5*(3*b^2*c^2 + 12*a*b*c*d + a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(24*c^2*x) - (5*(b*c + a*d)*(a + b*x)^(3/2)*(c + d*x)^(5/2))/(12*c*x^2) - ((a + b*x)^(5/2)*(c + d*x)^(5/2))/(3*x^3) - (5*(b*c + a*d)*(b^2*c^2 + 14*a*b*c*d + a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*Sqrt[a]*Sqrt[c]) + (5*Sqrt[b]*Sqrt[d]*(3*b*c + a*d)*(b*c + 3*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/4","A",11,9,22,0.4091,1,"{97, 149, 154, 157, 63, 217, 206, 93, 208}"
671,1,380,0,0.4352375,"\int \frac{(a+b x)^{5/2} (c+d x)^{5/2}}{x^5} \, dx","Int[((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^5,x]","-\frac{5 \sqrt{a+b x} (c+d x)^{5/2} \left(-a^2 d^2+14 a b c d+3 b^2 c^2\right)}{96 c^2 x^2}-\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (a d+3 b c) \left(-a^2 d^2+24 a b c d+b^2 c^2\right)}{192 a c^2 x}+\frac{5 d \sqrt{a+b x} \sqrt{c+d x} \left(19 a^2 b c d^2-a^3 d^3+45 a b^2 c^2 d+b^3 c^3\right)}{64 a c^2}+\frac{5 \left(-90 a^2 b^2 c^2 d^2-20 a^3 b c d^3+a^4 d^4-20 a b^3 c^3 d+b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{3/2} c^{3/2}}+5 b^{3/2} d^{3/2} (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{4 x^4}-\frac{5 (a+b x)^{3/2} (c+d x)^{5/2} (a d+b c)}{24 c x^3}","-\frac{5 \sqrt{a+b x} (c+d x)^{5/2} \left(-a^2 d^2+14 a b c d+3 b^2 c^2\right)}{96 c^2 x^2}-\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (a d+3 b c) \left(-a^2 d^2+24 a b c d+b^2 c^2\right)}{192 a c^2 x}+\frac{5 d \sqrt{a+b x} \sqrt{c+d x} \left(19 a^2 b c d^2-a^3 d^3+45 a b^2 c^2 d+b^3 c^3\right)}{64 a c^2}+\frac{5 \left(-90 a^2 b^2 c^2 d^2-20 a^3 b c d^3+a^4 d^4-20 a b^3 c^3 d+b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{3/2} c^{3/2}}+5 b^{3/2} d^{3/2} (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{4 x^4}-\frac{5 (a+b x)^{3/2} (c+d x)^{5/2} (a d+b c)}{24 c x^3}",1,"(5*d*(b^3*c^3 + 45*a*b^2*c^2*d + 19*a^2*b*c*d^2 - a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*a*c^2) - (5*(3*b*c + a*d)*(b^2*c^2 + 24*a*b*c*d - a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(192*a*c^2*x) - (5*(3*b^2*c^2 + 14*a*b*c*d - a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(96*c^2*x^2) - (5*(b*c + a*d)*(a + b*x)^(3/2)*(c + d*x)^(5/2))/(24*c*x^3) - ((a + b*x)^(5/2)*(c + d*x)^(5/2))/(4*x^4) + (5*(b^4*c^4 - 20*a*b^3*c^3*d - 90*a^2*b^2*c^2*d^2 - 20*a^3*b*c*d^3 + a^4*d^4)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(3/2)*c^(3/2)) + 5*b^(3/2)*d^(3/2)*(b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])]","A",11,9,22,0.4091,1,"{97, 149, 154, 157, 63, 217, 206, 93, 208}"
672,1,406,0,0.4191379,"\int \frac{(a+b x)^{5/2} (c+d x)^{5/2}}{x^6} \, dx","Int[((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^6,x]","-\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(-3 a^2 d^2+16 a b c d+3 b^2 c^2\right)}{48 c^2 x^3}-\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(-19 a^2 b c d^2+3 a^3 d^3+109 a b^2 c^2 d+3 b^3 c^3\right)}{192 a c^2 x^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-128 a^2 b^2 c^2 d^2+22 a^3 b c d^3-3 a^4 d^4-22 a b^3 c^3 d+3 b^4 c^4\right)}{128 a^2 c^2 x}-\frac{(a d+b c) \left(178 a^2 b^2 c^2 d^2-28 a^3 b c d^3+3 a^4 d^4-28 a b^3 c^3 d+3 b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{5/2} c^{5/2}}+2 b^{5/2} d^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{5 x^5}-\frac{(a+b x)^{3/2} (c+d x)^{5/2} (a d+b c)}{8 c x^4}","-\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(-3 a^2 d^2+16 a b c d+3 b^2 c^2\right)}{48 c^2 x^3}-\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(-19 a^2 b c d^2+3 a^3 d^3+109 a b^2 c^2 d+3 b^3 c^3\right)}{192 a c^2 x^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-128 a^2 b^2 c^2 d^2+22 a^3 b c d^3-3 a^4 d^4-22 a b^3 c^3 d+3 b^4 c^4\right)}{128 a^2 c^2 x}-\frac{(a d+b c) \left(178 a^2 b^2 c^2 d^2-28 a^3 b c d^3+3 a^4 d^4-28 a b^3 c^3 d+3 b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{5/2} c^{5/2}}+2 b^{5/2} d^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)-\frac{(a+b x)^{5/2} (c+d x)^{5/2}}{5 x^5}-\frac{(a+b x)^{3/2} (c+d x)^{5/2} (a d+b c)}{8 c x^4}",1,"((3*b^4*c^4 - 22*a*b^3*c^3*d - 128*a^2*b^2*c^2*d^2 + 22*a^3*b*c*d^3 - 3*a^4*d^4)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*a^2*c^2*x) - ((3*b^3*c^3 + 109*a*b^2*c^2*d - 19*a^2*b*c*d^2 + 3*a^3*d^3)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(192*a*c^2*x^2) - ((3*b^2*c^2 + 16*a*b*c*d - 3*a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(48*c^2*x^3) - ((b*c + a*d)*(a + b*x)^(3/2)*(c + d*x)^(5/2))/(8*c*x^4) - ((a + b*x)^(5/2)*(c + d*x)^(5/2))/(5*x^5) - ((b*c + a*d)*(3*b^4*c^4 - 28*a*b^3*c^3*d + 178*a^2*b^2*c^2*d^2 - 28*a^3*b*c*d^3 + 3*a^4*d^4)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(128*a^(5/2)*c^(5/2)) + 2*b^(5/2)*d^(5/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])]","A",11,8,22,0.3636,1,"{97, 149, 157, 63, 217, 206, 93, 208}"
673,1,280,0,0.1807262,"\int \frac{(a+b x)^{5/2} (c+d x)^{5/2}}{x^7} \, dx","Int[((a + b*x)^(5/2)*(c + d*x)^(5/2))/x^7,x]","\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^4}{768 a^2 c^3 x^2}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^5}{512 a^3 c^3 x}+\frac{5 (b c-a d)^6 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{512 a^{7/2} c^{7/2}}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (b c-a d)^3}{192 a c^3 x^3}-\frac{\sqrt{a+b x} (c+d x)^{7/2} (b c-a d)^2}{32 c^3 x^4}-\frac{(a+b x)^{3/2} (c+d x)^{7/2} (b c-a d)}{12 c^2 x^5}-\frac{(a+b x)^{5/2} (c+d x)^{7/2}}{6 c x^6}","\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^4}{768 a^2 c^3 x^2}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^5}{512 a^3 c^3 x}+\frac{5 (b c-a d)^6 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{512 a^{7/2} c^{7/2}}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (b c-a d)^3}{192 a c^3 x^3}-\frac{\sqrt{a+b x} (c+d x)^{7/2} (b c-a d)^2}{32 c^3 x^4}-\frac{(a+b x)^{3/2} (c+d x)^{7/2} (b c-a d)}{12 c^2 x^5}-\frac{(a+b x)^{5/2} (c+d x)^{7/2}}{6 c x^6}",1,"(-5*(b*c - a*d)^5*Sqrt[a + b*x]*Sqrt[c + d*x])/(512*a^3*c^3*x) + (5*(b*c - a*d)^4*Sqrt[a + b*x]*(c + d*x)^(3/2))/(768*a^2*c^3*x^2) - ((b*c - a*d)^3*Sqrt[a + b*x]*(c + d*x)^(5/2))/(192*a*c^3*x^3) - ((b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(7/2))/(32*c^3*x^4) - ((b*c - a*d)*(a + b*x)^(3/2)*(c + d*x)^(7/2))/(12*c^2*x^5) - ((a + b*x)^(5/2)*(c + d*x)^(7/2))/(6*c*x^6) + (5*(b*c - a*d)^6*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(512*a^(7/2)*c^(7/2))","A",8,3,22,0.1364,1,"{94, 93, 208}"
674,1,314,0,0.2853828,"\int \frac{x^2 (a+b x)^{5/2}}{\sqrt{c+d x}} \, dx","Int[(x^2*(a + b*x)^(5/2))/Sqrt[c + d*x],x]","\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(3 a^2 d^2+14 a b c d+63 b^2 c^2\right)}{240 b^2 d^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (b c-a d) \left(3 a^2 d^2+14 a b c d+63 b^2 c^2\right)}{192 b^2 d^4}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2 \left(3 a^2 d^2+14 a b c d+63 b^2 c^2\right)}{128 b^2 d^5}-\frac{(b c-a d)^3 \left(3 a^2 d^2+14 a b c d+63 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{5/2} d^{11/2}}-\frac{3 (a+b x)^{7/2} \sqrt{c+d x} (a d+3 b c)}{40 b^2 d^2}+\frac{x (a+b x)^{7/2} \sqrt{c+d x}}{5 b d}","\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(3 a^2 d^2+14 a b c d+63 b^2 c^2\right)}{240 b^2 d^3}-\frac{(a+b x)^{3/2} \sqrt{c+d x} (b c-a d) \left(3 a^2 d^2+14 a b c d+63 b^2 c^2\right)}{192 b^2 d^4}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2 \left(3 a^2 d^2+14 a b c d+63 b^2 c^2\right)}{128 b^2 d^5}-\frac{(b c-a d)^3 \left(3 a^2 d^2+14 a b c d+63 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{5/2} d^{11/2}}-\frac{3 (a+b x)^{7/2} \sqrt{c+d x} (a d+3 b c)}{40 b^2 d^2}+\frac{x (a+b x)^{7/2} \sqrt{c+d x}}{5 b d}",1,"((b*c - a*d)^2*(63*b^2*c^2 + 14*a*b*c*d + 3*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*b^2*d^5) - ((b*c - a*d)*(63*b^2*c^2 + 14*a*b*c*d + 3*a^2*d^2)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(192*b^2*d^4) + ((63*b^2*c^2 + 14*a*b*c*d + 3*a^2*d^2)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(240*b^2*d^3) - (3*(3*b*c + a*d)*(a + b*x)^(7/2)*Sqrt[c + d*x])/(40*b^2*d^2) + (x*(a + b*x)^(7/2)*Sqrt[c + d*x])/(5*b*d) - ((b*c - a*d)^3*(63*b^2*c^2 + 14*a*b*c*d + 3*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(128*b^(5/2)*d^(11/2))","A",8,6,22,0.2727,1,"{90, 80, 50, 63, 217, 206}"
675,1,217,0,0.124288,"\int \frac{x (a+b x)^{5/2}}{\sqrt{c+d x}} \, dx","Int[(x*(a + b*x)^(5/2))/Sqrt[c + d*x],x]","\frac{5 (b c-a d)^3 (a d+7 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{3/2} d^{9/2}}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (a d+7 b c)}{24 b d^2}+\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (b c-a d) (a d+7 b c)}{96 b d^3}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2 (a d+7 b c)}{64 b d^4}+\frac{(a+b x)^{7/2} \sqrt{c+d x}}{4 b d}","\frac{5 (b c-a d)^3 (a d+7 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{3/2} d^{9/2}}-\frac{(a+b x)^{5/2} \sqrt{c+d x} (a d+7 b c)}{24 b d^2}+\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (b c-a d) (a d+7 b c)}{96 b d^3}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2 (a d+7 b c)}{64 b d^4}+\frac{(a+b x)^{7/2} \sqrt{c+d x}}{4 b d}",1,"(-5*(b*c - a*d)^2*(7*b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b*d^4) + (5*(b*c - a*d)*(7*b*c + a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(96*b*d^3) - ((7*b*c + a*d)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(24*b*d^2) + ((a + b*x)^(7/2)*Sqrt[c + d*x])/(4*b*d) + (5*(b*c - a*d)^3*(7*b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(3/2)*d^(9/2))","A",7,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
676,1,148,0,0.0747416,"\int \frac{(a+b x)^{5/2}}{\sqrt{c+d x}} \, dx","Int[(a + b*x)^(5/2)/Sqrt[c + d*x],x]","\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 d^3}-\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (b c-a d)}{12 d^2}-\frac{5 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 \sqrt{b} d^{7/2}}+\frac{(a+b x)^{5/2} \sqrt{c+d x}}{3 d}","\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 d^3}-\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (b c-a d)}{12 d^2}-\frac{5 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 \sqrt{b} d^{7/2}}+\frac{(a+b x)^{5/2} \sqrt{c+d x}}{3 d}",1,"(5*(b*c - a*d)^2*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*d^3) - (5*(b*c - a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(12*d^2) + ((a + b*x)^(5/2)*Sqrt[c + d*x])/(3*d) - (5*(b*c - a*d)^3*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*Sqrt[b]*d^(7/2))","A",6,4,19,0.2105,1,"{50, 63, 217, 206}"
677,1,171,0,0.1493226,"\int \frac{(a+b x)^{5/2}}{x \sqrt{c+d x}} \, dx","Int[(a + b*x)^(5/2)/(x*Sqrt[c + d*x]),x]","\frac{\sqrt{b} \left(15 a^2 d^2-10 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 d^{5/2}}-\frac{2 a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{c}}-\frac{b \sqrt{a+b x} \sqrt{c+d x} (3 b c-7 a d)}{4 d^2}+\frac{b (a+b x)^{3/2} \sqrt{c+d x}}{2 d}","\frac{\sqrt{b} \left(15 a^2 d^2-10 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 d^{5/2}}-\frac{2 a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{c}}-\frac{b \sqrt{a+b x} \sqrt{c+d x} (3 b c-7 a d)}{4 d^2}+\frac{b (a+b x)^{3/2} \sqrt{c+d x}}{2 d}",1,"-(b*(3*b*c - 7*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*d^2) + (b*(a + b*x)^(3/2)*Sqrt[c + d*x])/(2*d) - (2*a^(5/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/Sqrt[c] + (Sqrt[b]*(3*b^2*c^2 - 10*a*b*c*d + 15*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*d^(5/2))","A",8,8,22,0.3636,1,"{102, 154, 157, 63, 217, 206, 93, 208}"
678,1,162,0,0.1547124,"\int \frac{(a+b x)^{5/2}}{x^2 \sqrt{c+d x}} \, dx","Int[(a + b*x)^(5/2)/(x^2*Sqrt[c + d*x]),x]","-\frac{a^{3/2} (5 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{3/2}}-\frac{b^{3/2} (b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{3/2}}-\frac{a (a+b x)^{3/2} \sqrt{c+d x}}{c x}+\frac{b \sqrt{a+b x} \sqrt{c+d x} (a d+b c)}{c d}","-\frac{a^{3/2} (5 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{3/2}}-\frac{b^{3/2} (b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{3/2}}-\frac{a (a+b x)^{3/2} \sqrt{c+d x}}{c x}+\frac{b \sqrt{a+b x} \sqrt{c+d x} (a d+b c)}{c d}",1,"(b*(b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(c*d) - (a*(a + b*x)^(3/2)*Sqrt[c + d*x])/(c*x) - (a^(3/2)*(5*b*c - a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/c^(3/2) - (b^(3/2)*(b*c - 5*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/d^(3/2)","A",8,8,22,0.3636,1,"{98, 154, 157, 63, 217, 206, 93, 208}"
679,1,177,0,0.1234697,"\int \frac{(a+b x)^{5/2}}{x^3 \sqrt{c+d x}} \, dx","Int[(a + b*x)^(5/2)/(x^3*Sqrt[c + d*x]),x]","-\frac{\sqrt{a} \left(3 a^2 d^2-10 a b c d+15 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 c^{5/2}}+\frac{2 b^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{d}}-\frac{a \sqrt{a+b x} \sqrt{c+d x} (7 b c-3 a d)}{4 c^2 x}-\frac{a (a+b x)^{3/2} \sqrt{c+d x}}{2 c x^2}","-\frac{\sqrt{a} \left(3 a^2 d^2-10 a b c d+15 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 c^{5/2}}+\frac{2 b^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{d}}-\frac{a \sqrt{a+b x} \sqrt{c+d x} (7 b c-3 a d)}{4 c^2 x}-\frac{a (a+b x)^{3/2} \sqrt{c+d x}}{2 c x^2}",1,"-(a*(7*b*c - 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*c^2*x) - (a*(a + b*x)^(3/2)*Sqrt[c + d*x])/(2*c*x^2) - (Sqrt[a]*(15*b^2*c^2 - 10*a*b*c*d + 3*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*c^(5/2)) + (2*b^(5/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/Sqrt[d]","A",8,8,22,0.3636,1,"{98, 149, 157, 63, 217, 206, 93, 208}"
680,1,157,0,0.0722236,"\int \frac{(a+b x)^{5/2}}{x^4 \sqrt{c+d x}} \, dx","Int[(a + b*x)^(5/2)/(x^4*Sqrt[c + d*x]),x]","-\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (b c-a d)}{12 c^2 x^2}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 c^3 x}-\frac{5 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 \sqrt{a} c^{7/2}}-\frac{(a+b x)^{5/2} \sqrt{c+d x}}{3 c x^3}","-\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (b c-a d)}{12 c^2 x^2}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 c^3 x}-\frac{5 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 \sqrt{a} c^{7/2}}-\frac{(a+b x)^{5/2} \sqrt{c+d x}}{3 c x^3}",1,"(-5*(b*c - a*d)^2*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*c^3*x) - (5*(b*c - a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(12*c^2*x^2) - ((a + b*x)^(5/2)*Sqrt[c + d*x])/(3*c*x^3) - (5*(b*c - a*d)^3*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*Sqrt[a]*c^(7/2))","A",5,3,22,0.1364,1,"{94, 93, 208}"
681,1,229,0,0.1147452,"\int \frac{(a+b x)^{5/2}}{x^5 \sqrt{c+d x}} \, dx","Int[(a + b*x)^(5/2)/(x^5*Sqrt[c + d*x]),x]","\frac{5 (b c-a d)^3 (7 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{3/2} c^{9/2}}+\frac{(a+b x)^{5/2} \sqrt{c+d x} (7 a d+b c)}{24 a c^2 x^3}+\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (b c-a d) (7 a d+b c)}{96 a c^3 x^2}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2 (7 a d+b c)}{64 a c^4 x}-\frac{(a+b x)^{7/2} \sqrt{c+d x}}{4 a c x^4}","\frac{5 (b c-a d)^3 (7 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{3/2} c^{9/2}}+\frac{(a+b x)^{5/2} \sqrt{c+d x} (7 a d+b c)}{24 a c^2 x^3}+\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (b c-a d) (7 a d+b c)}{96 a c^3 x^2}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2 (7 a d+b c)}{64 a c^4 x}-\frac{(a+b x)^{7/2} \sqrt{c+d x}}{4 a c x^4}",1,"(5*(b*c - a*d)^2*(b*c + 7*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*a*c^4*x) + (5*(b*c - a*d)*(b*c + 7*a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(96*a*c^3*x^2) + ((b*c + 7*a*d)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(24*a*c^2*x^3) - ((a + b*x)^(7/2)*Sqrt[c + d*x])/(4*a*c*x^4) + (5*(b*c - a*d)^3*(b*c + 7*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(3/2)*c^(9/2))","A",6,4,22,0.1818,1,"{96, 94, 93, 208}"
682,1,309,0,0.3323559,"\int \frac{x^2 (a+b x)^{5/2}}{(c+d x)^{3/2}} \, dx","Int[(x^2*(a + b*x)^(5/2))/(c + d*x)^(3/2),x]","\frac{5 (a+b x)^{3/2} \sqrt{c+d x} \left(-a^2 d^2-14 a b c d+63 b^2 c^2\right)}{96 b d^4}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d) \left(-a^2 d^2-14 a b c d+63 b^2 c^2\right)}{64 b d^5}+\frac{5 (b c-a d)^2 \left(-a^2 d^2-14 a b c d+63 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{3/2} d^{11/2}}+\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(\frac{a^2 d}{b}+14 a c-\frac{63 b c^2}{d}\right)}{24 d^2 (b c-a d)}+\frac{2 c^2 (a+b x)^{7/2}}{d^2 \sqrt{c+d x} (b c-a d)}+\frac{(a+b x)^{7/2} \sqrt{c+d x}}{4 b d^2}","\frac{5 (a+b x)^{3/2} \sqrt{c+d x} \left(-a^2 d^2-14 a b c d+63 b^2 c^2\right)}{96 b d^4}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d) \left(-a^2 d^2-14 a b c d+63 b^2 c^2\right)}{64 b d^5}+\frac{5 (b c-a d)^2 \left(-a^2 d^2-14 a b c d+63 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{3/2} d^{11/2}}+\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(\frac{a^2 d}{b}+14 a c-\frac{63 b c^2}{d}\right)}{24 d^2 (b c-a d)}+\frac{2 c^2 (a+b x)^{7/2}}{d^2 \sqrt{c+d x} (b c-a d)}+\frac{(a+b x)^{7/2} \sqrt{c+d x}}{4 b d^2}",1,"(2*c^2*(a + b*x)^(7/2))/(d^2*(b*c - a*d)*Sqrt[c + d*x]) - (5*(b*c - a*d)*(63*b^2*c^2 - 14*a*b*c*d - a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b*d^5) + (5*(63*b^2*c^2 - 14*a*b*c*d - a^2*d^2)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(96*b*d^4) + ((14*a*c - (63*b*c^2)/d + (a^2*d)/b)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(24*d^2*(b*c - a*d)) + ((a + b*x)^(7/2)*Sqrt[c + d*x])/(4*b*d^2) + (5*(b*c - a*d)^2*(63*b^2*c^2 - 14*a*b*c*d - a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(3/2)*d^(11/2))","A",8,6,22,0.2727,1,"{89, 80, 50, 63, 217, 206}"
683,1,218,0,0.1283189,"\int \frac{x (a+b x)^{5/2}}{(c+d x)^{3/2}} \, dx","Int[(x*(a + b*x)^(5/2))/(c + d*x)^(3/2),x]","\frac{(a+b x)^{5/2} \sqrt{c+d x} (7 b c-a d)}{3 d^2 (b c-a d)}-\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (7 b c-a d)}{12 d^3}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d) (7 b c-a d)}{8 d^4}-\frac{5 (b c-a d)^2 (7 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 \sqrt{b} d^{9/2}}-\frac{2 c (a+b x)^{7/2}}{d \sqrt{c+d x} (b c-a d)}","\frac{(a+b x)^{5/2} \sqrt{c+d x} (7 b c-a d)}{3 d^2 (b c-a d)}-\frac{5 (a+b x)^{3/2} \sqrt{c+d x} (7 b c-a d)}{12 d^3}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d) (7 b c-a d)}{8 d^4}-\frac{5 (b c-a d)^2 (7 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 \sqrt{b} d^{9/2}}-\frac{2 c (a+b x)^{7/2}}{d \sqrt{c+d x} (b c-a d)}",1,"(-2*c*(a + b*x)^(7/2))/(d*(b*c - a*d)*Sqrt[c + d*x]) + (5*(b*c - a*d)*(7*b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*d^4) - (5*(7*b*c - a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(12*d^3) + ((7*b*c - a*d)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(3*d^2*(b*c - a*d)) - (5*(b*c - a*d)^2*(7*b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*Sqrt[b]*d^(9/2))","A",7,5,20,0.2500,1,"{78, 50, 63, 217, 206}"
684,1,138,0,0.0673092,"\int \frac{(a+b x)^{5/2}}{(c+d x)^{3/2}} \, dx","Int[(a + b*x)^(5/2)/(c + d*x)^(3/2),x]","\frac{5 b (a+b x)^{3/2} \sqrt{c+d x}}{2 d^2}-\frac{15 b \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 d^3}+\frac{15 \sqrt{b} (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 d^{7/2}}-\frac{2 (a+b x)^{5/2}}{d \sqrt{c+d x}}","\frac{5 b (a+b x)^{3/2} \sqrt{c+d x}}{2 d^2}-\frac{15 b \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 d^3}+\frac{15 \sqrt{b} (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 d^{7/2}}-\frac{2 (a+b x)^{5/2}}{d \sqrt{c+d x}}",1,"(-2*(a + b*x)^(5/2))/(d*Sqrt[c + d*x]) - (15*b*(b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*d^3) + (5*b*(a + b*x)^(3/2)*Sqrt[c + d*x])/(2*d^2) + (15*Sqrt[b]*(b*c - a*d)^2*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*d^(7/2))","A",6,5,19,0.2632,1,"{47, 50, 63, 217, 206}"
685,1,163,0,0.1388035,"\int \frac{(a+b x)^{5/2}}{x (c+d x)^{3/2}} \, dx","Int[(a + b*x)^(5/2)/(x*(c + d*x)^(3/2)),x]","-\frac{2 a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{3/2}}-\frac{b^{3/2} (3 b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{5/2}}+\frac{b \sqrt{a+b x} \sqrt{c+d x} (3 b c-2 a d)}{c d^2}-\frac{2 (a+b x)^{3/2} (b c-a d)}{c d \sqrt{c+d x}}","-\frac{2 a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{3/2}}-\frac{b^{3/2} (3 b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{5/2}}+\frac{b \sqrt{a+b x} \sqrt{c+d x} (3 b c-2 a d)}{c d^2}-\frac{2 (a+b x)^{3/2} (b c-a d)}{c d \sqrt{c+d x}}",1,"(-2*(b*c - a*d)*(a + b*x)^(3/2))/(c*d*Sqrt[c + d*x]) + (b*(3*b*c - 2*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(c*d^2) - (2*a^(5/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/c^(3/2) - (b^(3/2)*(3*b*c - 5*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/d^(5/2)","A",8,8,22,0.3636,1,"{98, 154, 157, 63, 217, 206, 93, 208}"
686,1,164,0,0.1576559,"\int \frac{(a+b x)^{5/2}}{x^2 (c+d x)^{3/2}} \, dx","Int[(a + b*x)^(5/2)/(x^2*(c + d*x)^(3/2)),x]","-\frac{a^{3/2} (5 b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{5/2}}+\frac{2 b^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{3/2}}-\frac{\sqrt{a+b x} (2 b c-3 a d) (b c-a d)}{c^2 d \sqrt{c+d x}}-\frac{a (a+b x)^{3/2}}{c x \sqrt{c+d x}}","-\frac{a^{3/2} (5 b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{5/2}}+\frac{2 b^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{3/2}}-\frac{\sqrt{a+b x} (2 b c-3 a d) (b c-a d)}{c^2 d \sqrt{c+d x}}-\frac{a (a+b x)^{3/2}}{c x \sqrt{c+d x}}",1,"-(((2*b*c - 3*a*d)*(b*c - a*d)*Sqrt[a + b*x])/(c^2*d*Sqrt[c + d*x])) - (a*(a + b*x)^(3/2))/(c*x*Sqrt[c + d*x]) - (a^(3/2)*(5*b*c - 3*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/c^(5/2) + (2*b^(5/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/d^(3/2)","A",8,8,22,0.3636,1,"{98, 150, 157, 63, 217, 206, 93, 208}"
687,1,154,0,0.063582,"\int \frac{(a+b x)^{5/2}}{x^3 (c+d x)^{3/2}} \, dx","Int[(a + b*x)^(5/2)/(x^3*(c + d*x)^(3/2)),x]","-\frac{5 (a+b x)^{3/2} (b c-a d)}{4 c^2 x \sqrt{c+d x}}+\frac{15 \sqrt{a+b x} (b c-a d)^2}{4 c^3 \sqrt{c+d x}}-\frac{15 \sqrt{a} (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 c^{7/2}}-\frac{(a+b x)^{5/2}}{2 c x^2 \sqrt{c+d x}}","-\frac{5 (a+b x)^{3/2} (b c-a d)}{4 c^2 x \sqrt{c+d x}}+\frac{15 \sqrt{a+b x} (b c-a d)^2}{4 c^3 \sqrt{c+d x}}-\frac{15 \sqrt{a} (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 c^{7/2}}-\frac{(a+b x)^{5/2}}{2 c x^2 \sqrt{c+d x}}",1,"(15*(b*c - a*d)^2*Sqrt[a + b*x])/(4*c^3*Sqrt[c + d*x]) - (5*(b*c - a*d)*(a + b*x)^(3/2))/(4*c^2*x*Sqrt[c + d*x]) - (a + b*x)^(5/2)/(2*c*x^2*Sqrt[c + d*x]) - (15*Sqrt[a]*(b*c - a*d)^2*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*c^(7/2))","A",5,3,22,0.1364,1,"{94, 93, 208}"
688,1,226,0,0.1116853,"\int \frac{(a+b x)^{5/2}}{x^4 (c+d x)^{3/2}} \, dx","Int[(a + b*x)^(5/2)/(x^4*(c + d*x)^(3/2)),x]","-\frac{(a+b x)^{5/2} (b c-7 a d)}{12 a c^2 x^2 \sqrt{c+d x}}-\frac{5 (a+b x)^{3/2} (b c-7 a d) (b c-a d)}{24 a c^3 x \sqrt{c+d x}}+\frac{5 \sqrt{a+b x} (b c-7 a d) (b c-a d)^2}{8 a c^4 \sqrt{c+d x}}-\frac{5 (b c-7 a d) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 \sqrt{a} c^{9/2}}-\frac{(a+b x)^{7/2}}{3 a c x^3 \sqrt{c+d x}}","-\frac{(a+b x)^{5/2} (b c-7 a d)}{12 a c^2 x^2 \sqrt{c+d x}}-\frac{5 (a+b x)^{3/2} (b c-7 a d) (b c-a d)}{24 a c^3 x \sqrt{c+d x}}+\frac{5 \sqrt{a+b x} (b c-7 a d) (b c-a d)^2}{8 a c^4 \sqrt{c+d x}}-\frac{5 (b c-7 a d) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 \sqrt{a} c^{9/2}}-\frac{(a+b x)^{7/2}}{3 a c x^3 \sqrt{c+d x}}",1,"(5*(b*c - 7*a*d)*(b*c - a*d)^2*Sqrt[a + b*x])/(8*a*c^4*Sqrt[c + d*x]) - (5*(b*c - 7*a*d)*(b*c - a*d)*(a + b*x)^(3/2))/(24*a*c^3*x*Sqrt[c + d*x]) - ((b*c - 7*a*d)*(a + b*x)^(5/2))/(12*a*c^2*x^2*Sqrt[c + d*x]) - (a + b*x)^(7/2)/(3*a*c*x^3*Sqrt[c + d*x]) - (5*(b*c - 7*a*d)*(b*c - a*d)^2*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*Sqrt[a]*c^(9/2))","A",6,4,22,0.1818,1,"{96, 94, 93, 208}"
689,1,317,0,0.3497467,"\int \frac{(a+b x)^{5/2}}{x^5 (c+d x)^{3/2}} \, dx","Int[(a + b*x)^(5/2)/(x^5*(c + d*x)^(3/2)),x]","-\frac{\sqrt{a+b x} \left(315 a^2 d^2-322 a b c d+15 b^2 c^2\right) (b c-a d)}{192 a c^4 x \sqrt{c+d x}}-\frac{d \sqrt{a+b x} \left(1785 a^2 b c d^2-945 a^3 d^3-839 a b^2 c^2 d+15 b^3 c^3\right)}{192 a c^5 \sqrt{c+d x}}+\frac{5 \left(-63 a^2 d^2+14 a b c d+b^2 c^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{3/2} c^{11/2}}-\frac{\sqrt{a+b x} (59 b c-63 a d) (b c-a d)}{96 c^3 x^2 \sqrt{c+d x}}-\frac{a \sqrt{a+b x} (11 b c-9 a d)}{24 c^2 x^3 \sqrt{c+d x}}-\frac{a (a+b x)^{3/2}}{4 c x^4 \sqrt{c+d x}}","-\frac{\sqrt{a+b x} \left(315 a^2 d^2-322 a b c d+15 b^2 c^2\right) (b c-a d)}{192 a c^4 x \sqrt{c+d x}}-\frac{d \sqrt{a+b x} \left(1785 a^2 b c d^2-945 a^3 d^3-839 a b^2 c^2 d+15 b^3 c^3\right)}{192 a c^5 \sqrt{c+d x}}+\frac{5 \left(-63 a^2 d^2+14 a b c d+b^2 c^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{3/2} c^{11/2}}-\frac{\sqrt{a+b x} (59 b c-63 a d) (b c-a d)}{96 c^3 x^2 \sqrt{c+d x}}-\frac{a \sqrt{a+b x} (11 b c-9 a d)}{24 c^2 x^3 \sqrt{c+d x}}-\frac{a (a+b x)^{3/2}}{4 c x^4 \sqrt{c+d x}}",1,"-(d*(15*b^3*c^3 - 839*a*b^2*c^2*d + 1785*a^2*b*c*d^2 - 945*a^3*d^3)*Sqrt[a + b*x])/(192*a*c^5*Sqrt[c + d*x]) - (a*(11*b*c - 9*a*d)*Sqrt[a + b*x])/(24*c^2*x^3*Sqrt[c + d*x]) - ((59*b*c - 63*a*d)*(b*c - a*d)*Sqrt[a + b*x])/(96*c^3*x^2*Sqrt[c + d*x]) - ((b*c - a*d)*(15*b^2*c^2 - 322*a*b*c*d + 315*a^2*d^2)*Sqrt[a + b*x])/(192*a*c^4*x*Sqrt[c + d*x]) - (a*(a + b*x)^(3/2))/(4*c*x^4*Sqrt[c + d*x]) + (5*(b*c - a*d)^2*(b^2*c^2 + 14*a*b*c*d - 63*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(3/2)*c^(11/2))","A",8,7,22,0.3182,1,"{98, 149, 151, 152, 12, 93, 208}"
690,1,377,0,0.4002314,"\int \frac{x^3 (a+b x)^{5/2}}{(c+d x)^{5/2}} \, dx","Int[(x^3*(a + b*x)^(5/2))/(c + d*x)^(5/2),x]","-\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(5 a^2 d^2-2 b d x (99 b c-59 a d)-156 a b c d+231 b^2 c^2\right)}{24 b d^4 (b c-a d)}+\frac{5 (a+b x)^{3/2} \sqrt{c+d x} \left(21 a^2 b c d^2+a^3 d^3-189 a b^2 c^2 d+231 b^3 c^3\right)}{96 b d^5 (b c-a d)}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} \left(21 a^2 b c d^2+a^3 d^3-189 a b^2 c^2 d+231 b^3 c^3\right)}{64 b d^6}+\frac{5 (b c-a d) \left(21 a^2 b c d^2+a^3 d^3-189 a b^2 c^2 d+231 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{3/2} d^{13/2}}-\frac{2 x^2 (a+b x)^{5/2} (11 b c-6 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)}-\frac{2 x^3 (a+b x)^{5/2}}{3 d (c+d x)^{3/2}}","-\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(5 a^2 d^2-2 b d x (99 b c-59 a d)-156 a b c d+231 b^2 c^2\right)}{24 b d^4 (b c-a d)}+\frac{5 (a+b x)^{3/2} \sqrt{c+d x} \left(21 a^2 b c d^2+a^3 d^3-189 a b^2 c^2 d+231 b^3 c^3\right)}{96 b d^5 (b c-a d)}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} \left(21 a^2 b c d^2+a^3 d^3-189 a b^2 c^2 d+231 b^3 c^3\right)}{64 b d^6}+\frac{5 (b c-a d) \left(21 a^2 b c d^2+a^3 d^3-189 a b^2 c^2 d+231 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{3/2} d^{13/2}}-\frac{2 x^2 (a+b x)^{5/2} (11 b c-6 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)}-\frac{2 x^3 (a+b x)^{5/2}}{3 d (c+d x)^{3/2}}",1,"(-2*x^3*(a + b*x)^(5/2))/(3*d*(c + d*x)^(3/2)) - (2*(11*b*c - 6*a*d)*x^2*(a + b*x)^(5/2))/(3*d^2*(b*c - a*d)*Sqrt[c + d*x]) - (5*(231*b^3*c^3 - 189*a*b^2*c^2*d + 21*a^2*b*c*d^2 + a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b*d^6) + (5*(231*b^3*c^3 - 189*a*b^2*c^2*d + 21*a^2*b*c*d^2 + a^3*d^3)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(96*b*d^5*(b*c - a*d)) - ((a + b*x)^(5/2)*Sqrt[c + d*x]*(231*b^2*c^2 - 156*a*b*c*d + 5*a^2*d^2 - 2*b*d*(99*b*c - 59*a*d)*x))/(24*b*d^4*(b*c - a*d)) + (5*(b*c - a*d)*(231*b^3*c^3 - 189*a*b^2*c^2*d + 21*a^2*b*c*d^2 + a^3*d^3)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(3/2)*d^(13/2))","A",8,7,22,0.3182,1,"{97, 150, 147, 50, 63, 217, 206}"
691,1,319,0,0.3517916,"\int \frac{x^2 (a+b x)^{5/2}}{(c+d x)^{5/2}} \, dx","Int[(x^2*(a + b*x)^(5/2))/(c + d*x)^(5/2),x]","\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(a^2 d^2-14 a b c d+21 b^2 c^2\right)}{3 d^3 (b c-a d)^2}-\frac{5 (a+b x)^{3/2} \sqrt{c+d x} \left(a^2 d^2-14 a b c d+21 b^2 c^2\right)}{12 d^4 (b c-a d)}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} \left(a^2 d^2-14 a b c d+21 b^2 c^2\right)}{8 d^5}-\frac{5 (b c-a d) \left(a^2 d^2-14 a b c d+21 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 \sqrt{b} d^{11/2}}+\frac{2 c^2 (a+b x)^{7/2}}{3 d^2 (c+d x)^{3/2} (b c-a d)}-\frac{4 c (a+b x)^{7/2} (5 b c-3 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)^2}","\frac{(a+b x)^{5/2} \sqrt{c+d x} \left(a^2 d^2-14 a b c d+21 b^2 c^2\right)}{3 d^3 (b c-a d)^2}-\frac{5 (a+b x)^{3/2} \sqrt{c+d x} \left(a^2 d^2-14 a b c d+21 b^2 c^2\right)}{12 d^4 (b c-a d)}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} \left(a^2 d^2-14 a b c d+21 b^2 c^2\right)}{8 d^5}-\frac{5 (b c-a d) \left(a^2 d^2-14 a b c d+21 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 \sqrt{b} d^{11/2}}+\frac{2 c^2 (a+b x)^{7/2}}{3 d^2 (c+d x)^{3/2} (b c-a d)}-\frac{4 c (a+b x)^{7/2} (5 b c-3 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)^2}",1,"(2*c^2*(a + b*x)^(7/2))/(3*d^2*(b*c - a*d)*(c + d*x)^(3/2)) - (4*c*(5*b*c - 3*a*d)*(a + b*x)^(7/2))/(3*d^2*(b*c - a*d)^2*Sqrt[c + d*x]) + (5*(21*b^2*c^2 - 14*a*b*c*d + a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*d^5) - (5*(21*b^2*c^2 - 14*a*b*c*d + a^2*d^2)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(12*d^4*(b*c - a*d)) + ((21*b^2*c^2 - 14*a*b*c*d + a^2*d^2)*(a + b*x)^(5/2)*Sqrt[c + d*x])/(3*d^3*(b*c - a*d)^2) - (5*(b*c - a*d)*(21*b^2*c^2 - 14*a*b*c*d + a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*Sqrt[b]*d^(11/2))","A",8,6,22,0.2727,1,"{89, 78, 50, 63, 217, 206}"
692,1,222,0,0.1189976,"\int \frac{x (a+b x)^{5/2}}{(c+d x)^{5/2}} \, dx","Int[(x*(a + b*x)^(5/2))/(c + d*x)^(5/2),x]","-\frac{2 (a+b x)^{5/2} (7 b c-3 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)}+\frac{5 b (a+b x)^{3/2} \sqrt{c+d x} (7 b c-3 a d)}{6 d^3 (b c-a d)}-\frac{5 b \sqrt{a+b x} \sqrt{c+d x} (7 b c-3 a d)}{4 d^4}+\frac{5 \sqrt{b} (7 b c-3 a d) (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 d^{9/2}}-\frac{2 c (a+b x)^{7/2}}{3 d (c+d x)^{3/2} (b c-a d)}","-\frac{2 (a+b x)^{5/2} (7 b c-3 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)}+\frac{5 b (a+b x)^{3/2} \sqrt{c+d x} (7 b c-3 a d)}{6 d^3 (b c-a d)}-\frac{5 b \sqrt{a+b x} \sqrt{c+d x} (7 b c-3 a d)}{4 d^4}+\frac{5 \sqrt{b} (7 b c-3 a d) (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 d^{9/2}}-\frac{2 c (a+b x)^{7/2}}{3 d (c+d x)^{3/2} (b c-a d)}",1,"(-2*c*(a + b*x)^(7/2))/(3*d*(b*c - a*d)*(c + d*x)^(3/2)) - (2*(7*b*c - 3*a*d)*(a + b*x)^(5/2))/(3*d^2*(b*c - a*d)*Sqrt[c + d*x]) - (5*b*(7*b*c - 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*d^4) + (5*b*(7*b*c - 3*a*d)*(a + b*x)^(3/2)*Sqrt[c + d*x])/(6*d^3*(b*c - a*d)) + (5*Sqrt[b]*(7*b*c - 3*a*d)*(b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*d^(9/2))","A",7,6,20,0.3000,1,"{78, 47, 50, 63, 217, 206}"
693,1,128,0,0.0667664,"\int \frac{(a+b x)^{5/2}}{(c+d x)^{5/2}} \, dx","Int[(a + b*x)^(5/2)/(c + d*x)^(5/2),x]","\frac{5 b^2 \sqrt{a+b x} \sqrt{c+d x}}{d^3}-\frac{5 b^{3/2} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{7/2}}-\frac{10 b (a+b x)^{3/2}}{3 d^2 \sqrt{c+d x}}-\frac{2 (a+b x)^{5/2}}{3 d (c+d x)^{3/2}}","\frac{5 b^2 \sqrt{a+b x} \sqrt{c+d x}}{d^3}-\frac{5 b^{3/2} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{7/2}}-\frac{10 b (a+b x)^{3/2}}{3 d^2 \sqrt{c+d x}}-\frac{2 (a+b x)^{5/2}}{3 d (c+d x)^{3/2}}",1,"(-2*(a + b*x)^(5/2))/(3*d*(c + d*x)^(3/2)) - (10*b*(a + b*x)^(3/2))/(3*d^2*Sqrt[c + d*x]) + (5*b^2*Sqrt[a + b*x]*Sqrt[c + d*x])/d^3 - (5*b^(3/2)*(b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/d^(7/2)","A",6,5,19,0.2632,1,"{47, 50, 63, 217, 206}"
694,1,157,0,0.1086303,"\int \frac{(a+b x)^{5/2}}{x (c+d x)^{5/2}} \, dx","Int[(a + b*x)^(5/2)/(x*(c + d*x)^(5/2)),x]","\frac{2 \sqrt{a+b x} \left(\frac{a^2}{c^2}-\frac{b^2}{d^2}\right)}{\sqrt{c+d x}}-\frac{2 a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{5/2}}+\frac{2 b^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{5/2}}-\frac{2 (a+b x)^{3/2} (b c-a d)}{3 c d (c+d x)^{3/2}}","\frac{2 \sqrt{a+b x} \left(\frac{a^2}{c^2}-\frac{b^2}{d^2}\right)}{\sqrt{c+d x}}-\frac{2 a^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{5/2}}+\frac{2 b^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{d^{5/2}}-\frac{2 (a+b x)^{3/2} (b c-a d)}{3 c d (c+d x)^{3/2}}",1,"(-2*(b*c - a*d)*(a + b*x)^(3/2))/(3*c*d*(c + d*x)^(3/2)) + (2*(a^2/c^2 - b^2/d^2)*Sqrt[a + b*x])/Sqrt[c + d*x] - (2*a^(5/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/c^(5/2) + (2*b^(5/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/d^(5/2)","A",8,8,22,0.3636,1,"{98, 150, 157, 63, 217, 206, 93, 208}"
695,1,142,0,0.0569286,"\int \frac{(a+b x)^{5/2}}{x^2 (c+d x)^{5/2}} \, dx","Int[(a + b*x)^(5/2)/(x^2*(c + d*x)^(5/2)),x]","-\frac{5 a^{3/2} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{7/2}}+\frac{5 (a+b x)^{3/2} (b c-a d)}{3 c^2 (c+d x)^{3/2}}+\frac{5 a \sqrt{a+b x} (b c-a d)}{c^3 \sqrt{c+d x}}-\frac{(a+b x)^{5/2}}{c x (c+d x)^{3/2}}","-\frac{5 a^{3/2} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{c^{7/2}}+\frac{5 (a+b x)^{3/2} (b c-a d)}{3 c^2 (c+d x)^{3/2}}+\frac{5 a \sqrt{a+b x} (b c-a d)}{c^3 \sqrt{c+d x}}-\frac{(a+b x)^{5/2}}{c x (c+d x)^{3/2}}",1,"(5*(b*c - a*d)*(a + b*x)^(3/2))/(3*c^2*(c + d*x)^(3/2)) - (a + b*x)^(5/2)/(c*x*(c + d*x)^(3/2)) + (5*a*(b*c - a*d)*Sqrt[a + b*x])/(c^3*Sqrt[c + d*x]) - (5*a^(3/2)*(b*c - a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/c^(7/2)","A",5,3,22,0.1364,1,"{94, 93, 208}"
696,1,220,0,0.1066268,"\int \frac{(a+b x)^{5/2}}{x^3 (c+d x)^{5/2}} \, dx","Int[(a + b*x)^(5/2)/(x^3*(c + d*x)^(5/2)),x]","-\frac{(a+b x)^{5/2} (3 b c-7 a d)}{4 a c^2 x (c+d x)^{3/2}}+\frac{5 (a+b x)^{3/2} (3 b c-7 a d) (b c-a d)}{12 a c^3 (c+d x)^{3/2}}+\frac{5 \sqrt{a+b x} (3 b c-7 a d) (b c-a d)}{4 c^4 \sqrt{c+d x}}-\frac{5 \sqrt{a} (3 b c-7 a d) (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 c^{9/2}}-\frac{(a+b x)^{7/2}}{2 a c x^2 (c+d x)^{3/2}}","-\frac{(a+b x)^{5/2} (3 b c-7 a d)}{4 a c^2 x (c+d x)^{3/2}}+\frac{5 (a+b x)^{3/2} (3 b c-7 a d) (b c-a d)}{12 a c^3 (c+d x)^{3/2}}+\frac{5 \sqrt{a+b x} (3 b c-7 a d) (b c-a d)}{4 c^4 \sqrt{c+d x}}-\frac{5 \sqrt{a} (3 b c-7 a d) (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 c^{9/2}}-\frac{(a+b x)^{7/2}}{2 a c x^2 (c+d x)^{3/2}}",1,"(5*(3*b*c - 7*a*d)*(b*c - a*d)*(a + b*x)^(3/2))/(12*a*c^3*(c + d*x)^(3/2)) - ((3*b*c - 7*a*d)*(a + b*x)^(5/2))/(4*a*c^2*x*(c + d*x)^(3/2)) - (a + b*x)^(7/2)/(2*a*c*x^2*(c + d*x)^(3/2)) + (5*(3*b*c - 7*a*d)*(b*c - a*d)*Sqrt[a + b*x])/(4*c^4*Sqrt[c + d*x]) - (5*Sqrt[a]*(3*b*c - 7*a*d)*(b*c - a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*c^(9/2))","A",6,4,22,0.1818,1,"{96, 94, 93, 208}"
697,1,278,0,0.3467782,"\int \frac{(a+b x)^{5/2}}{x^4 (c+d x)^{5/2}} \, dx","Int[(a + b*x)^(5/2)/(x^4*(c + d*x)^(5/2)),x]","-\frac{d \sqrt{a+b x} \left(315 a^2 d^2-420 a b c d+113 b^2 c^2\right)}{24 c^5 \sqrt{c+d x}}-\frac{5 (b c-a d) \left(21 a^2 d^2-14 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 \sqrt{a} c^{11/2}}-\frac{3 a \sqrt{a+b x} (b c-a d)}{4 c^2 x^2 (c+d x)^{3/2}}-\frac{7 d \sqrt{a+b x} (7 b c-15 a d) (b c-a d)}{24 c^4 (c+d x)^{3/2}}-\frac{\sqrt{a+b x} (11 b c-21 a d) (b c-a d)}{8 c^3 x (c+d x)^{3/2}}-\frac{a (a+b x)^{3/2}}{3 c x^3 (c+d x)^{3/2}}","-\frac{d \sqrt{a+b x} \left(315 a^2 d^2-420 a b c d+113 b^2 c^2\right)}{24 c^5 \sqrt{c+d x}}-\frac{5 (b c-a d) \left(21 a^2 d^2-14 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 \sqrt{a} c^{11/2}}-\frac{3 a \sqrt{a+b x} (b c-a d)}{4 c^2 x^2 (c+d x)^{3/2}}-\frac{7 d \sqrt{a+b x} (7 b c-15 a d) (b c-a d)}{24 c^4 (c+d x)^{3/2}}-\frac{\sqrt{a+b x} (11 b c-21 a d) (b c-a d)}{8 c^3 x (c+d x)^{3/2}}-\frac{a (a+b x)^{3/2}}{3 c x^3 (c+d x)^{3/2}}",1,"(-7*d*(7*b*c - 15*a*d)*(b*c - a*d)*Sqrt[a + b*x])/(24*c^4*(c + d*x)^(3/2)) - (3*a*(b*c - a*d)*Sqrt[a + b*x])/(4*c^2*x^2*(c + d*x)^(3/2)) - ((11*b*c - 21*a*d)*(b*c - a*d)*Sqrt[a + b*x])/(8*c^3*x*(c + d*x)^(3/2)) - (a*(a + b*x)^(3/2))/(3*c*x^3*(c + d*x)^(3/2)) - (d*(113*b^2*c^2 - 420*a*b*c*d + 315*a^2*d^2)*Sqrt[a + b*x])/(24*c^5*Sqrt[c + d*x]) - (5*(b*c - a*d)*(b^2*c^2 - 14*a*b*c*d + 21*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*Sqrt[a]*c^(11/2))","A",8,7,22,0.3182,1,"{98, 149, 151, 152, 12, 93, 208}"
698,1,388,0,0.5139785,"\int \frac{(a+b x)^{5/2}}{x^5 (c+d x)^{5/2}} \, dx","Int[(a + b*x)^(5/2)/(x^5*(c + d*x)^(5/2)),x]","-\frac{d \sqrt{a+b x} \left(1715 a^2 b c d^2-1155 a^3 d^3-581 a b^2 c^2 d+5 b^3 c^3\right)}{64 a c^6 \sqrt{c+d x}}-\frac{d \sqrt{a+b x} (b c-a d) \left(385 a^2 d^2-238 a b c d+5 b^2 c^2\right)}{64 a c^5 (c+d x)^{3/2}}-\frac{\sqrt{a+b x} (b c-a d) \left(231 a^2 d^2-156 a b c d+5 b^2 c^2\right)}{64 a c^4 x (c+d x)^{3/2}}+\frac{5 (b c-a d) \left(-189 a^2 b c d^2+231 a^3 d^3+21 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{3/2} c^{13/2}}-\frac{\sqrt{a+b x} (59 b c-99 a d) (b c-a d)}{96 c^3 x^2 (c+d x)^{3/2}}-\frac{11 a \sqrt{a+b x} (b c-a d)}{24 c^2 x^3 (c+d x)^{3/2}}-\frac{a (a+b x)^{3/2}}{4 c x^4 (c+d x)^{3/2}}","-\frac{d \sqrt{a+b x} \left(1715 a^2 b c d^2-1155 a^3 d^3-581 a b^2 c^2 d+5 b^3 c^3\right)}{64 a c^6 \sqrt{c+d x}}-\frac{d \sqrt{a+b x} (b c-a d) \left(385 a^2 d^2-238 a b c d+5 b^2 c^2\right)}{64 a c^5 (c+d x)^{3/2}}-\frac{\sqrt{a+b x} (b c-a d) \left(231 a^2 d^2-156 a b c d+5 b^2 c^2\right)}{64 a c^4 x (c+d x)^{3/2}}+\frac{5 (b c-a d) \left(-189 a^2 b c d^2+231 a^3 d^3+21 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{3/2} c^{13/2}}-\frac{\sqrt{a+b x} (59 b c-99 a d) (b c-a d)}{96 c^3 x^2 (c+d x)^{3/2}}-\frac{11 a \sqrt{a+b x} (b c-a d)}{24 c^2 x^3 (c+d x)^{3/2}}-\frac{a (a+b x)^{3/2}}{4 c x^4 (c+d x)^{3/2}}",1,"-(d*(b*c - a*d)*(5*b^2*c^2 - 238*a*b*c*d + 385*a^2*d^2)*Sqrt[a + b*x])/(64*a*c^5*(c + d*x)^(3/2)) - (11*a*(b*c - a*d)*Sqrt[a + b*x])/(24*c^2*x^3*(c + d*x)^(3/2)) - ((59*b*c - 99*a*d)*(b*c - a*d)*Sqrt[a + b*x])/(96*c^3*x^2*(c + d*x)^(3/2)) - ((b*c - a*d)*(5*b^2*c^2 - 156*a*b*c*d + 231*a^2*d^2)*Sqrt[a + b*x])/(64*a*c^4*x*(c + d*x)^(3/2)) - (a*(a + b*x)^(3/2))/(4*c*x^4*(c + d*x)^(3/2)) - (d*(5*b^3*c^3 - 581*a*b^2*c^2*d + 1715*a^2*b*c*d^2 - 1155*a^3*d^3)*Sqrt[a + b*x])/(64*a*c^6*Sqrt[c + d*x]) + (5*(b*c - a*d)*(b^3*c^3 + 21*a*b^2*c^2*d - 189*a^2*b*c*d^2 + 231*a^3*d^3)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(3/2)*c^(13/2))","A",9,7,22,0.3182,1,"{98, 149, 151, 152, 12, 93, 208}"
699,1,191,0,0.1615374,"\int \frac{x^2 \sqrt{c+d x}}{\sqrt{a+b x}} \, dx","Int[(x^2*Sqrt[c + d*x])/Sqrt[a + b*x],x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(5 a^2 d^2+2 a b c d+b^2 c^2\right)}{8 b^3 d^2}+\frac{(b c-a d) \left(5 a^2 d^2+2 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{7/2} d^{5/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 a d+3 b c)}{12 b^2 d^2}+\frac{x \sqrt{a+b x} (c+d x)^{3/2}}{3 b d}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(5 a^2 d^2+2 a b c d+b^2 c^2\right)}{8 b^3 d^2}+\frac{(b c-a d) \left(5 a^2 d^2+2 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{7/2} d^{5/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 a d+3 b c)}{12 b^2 d^2}+\frac{x \sqrt{a+b x} (c+d x)^{3/2}}{3 b d}",1,"((b^2*c^2 + 2*a*b*c*d + 5*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*b^3*d^2) - ((3*b*c + 5*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(12*b^2*d^2) + (x*Sqrt[a + b*x]*(c + d*x)^(3/2))/(3*b*d) + ((b*c - a*d)*(b^2*c^2 + 2*a*b*c*d + 5*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(7/2)*d^(5/2))","A",6,6,22,0.2727,1,"{90, 80, 50, 63, 217, 206}"
700,1,125,0,0.0638365,"\int \frac{x \sqrt{c+d x}}{\sqrt{a+b x}} \, dx","Int[(x*Sqrt[c + d*x])/Sqrt[a + b*x],x]","-\frac{(b c-a d) (3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{5/2} d^{3/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+b c)}{4 b^2 d}+\frac{\sqrt{a+b x} (c+d x)^{3/2}}{2 b d}","-\frac{(b c-a d) (3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{5/2} d^{3/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (3 a d+b c)}{4 b^2 d}+\frac{\sqrt{a+b x} (c+d x)^{3/2}}{2 b d}",1,"-((b*c + 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*b^2*d) + (Sqrt[a + b*x]*(c + d*x)^(3/2))/(2*b*d) - ((b*c - a*d)*(b*c + 3*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(5/2)*d^(3/2))","A",5,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
701,1,72,0,0.0376084,"\int \frac{\sqrt{c+d x}}{\sqrt{a+b x}} \, dx","Int[Sqrt[c + d*x]/Sqrt[a + b*x],x]","\frac{(b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2} \sqrt{d}}+\frac{\sqrt{a+b x} \sqrt{c+d x}}{b}","\frac{(b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2} \sqrt{d}}+\frac{\sqrt{a+b x} \sqrt{c+d x}}{b}",1,"(Sqrt[a + b*x]*Sqrt[c + d*x])/b + ((b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(b^(3/2)*Sqrt[d])","A",4,4,19,0.2105,1,"{50, 63, 217, 206}"
702,1,85,0,0.0504983,"\int \frac{\sqrt{c+d x}}{x \sqrt{a+b x}} \, dx","Int[Sqrt[c + d*x]/(x*Sqrt[a + b*x]),x]","\frac{2 \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b}}-\frac{2 \sqrt{c} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a}}","\frac{2 \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b}}-\frac{2 \sqrt{c} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a}}",1,"(-2*Sqrt[c]*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/Sqrt[a] + (2*Sqrt[d]*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/Sqrt[b]","A",6,6,22,0.2727,1,"{105, 63, 217, 206, 93, 208}"
703,1,76,0,0.024685,"\int \frac{\sqrt{c+d x}}{x^2 \sqrt{a+b x}} \, dx","Int[Sqrt[c + d*x]/(x^2*Sqrt[a + b*x]),x]","\frac{(b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2} \sqrt{c}}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{a x}","\frac{(b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2} \sqrt{c}}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{a x}",1,"-((Sqrt[a + b*x]*Sqrt[c + d*x])/(a*x)) + ((b*c - a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(a^(3/2)*Sqrt[c])","A",3,3,22,0.1364,1,"{94, 93, 208}"
704,1,131,0,0.0550242,"\int \frac{\sqrt{c+d x}}{x^3 \sqrt{a+b x}} \, dx","Int[Sqrt[c + d*x]/(x^3*Sqrt[a + b*x]),x]","-\frac{(b c-a d) (a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{5/2} c^{3/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+3 b c)}{4 a^2 c x}-\frac{\sqrt{a+b x} (c+d x)^{3/2}}{2 a c x^2}","-\frac{(b c-a d) (a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{5/2} c^{3/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (a d+3 b c)}{4 a^2 c x}-\frac{\sqrt{a+b x} (c+d x)^{3/2}}{2 a c x^2}",1,"((3*b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*a^2*c*x) - (Sqrt[a + b*x]*(c + d*x)^(3/2))/(2*a*c*x^2) - ((b*c - a*d)*(3*b*c + a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(5/2)*c^(3/2))","A",4,4,22,0.1818,1,"{96, 94, 93, 208}"
705,1,191,0,0.1394379,"\int \frac{\sqrt{c+d x}}{x^4 \sqrt{a+b x}} \, dx","Int[Sqrt[c + d*x]/(x^4*Sqrt[a + b*x]),x]","\frac{(b c-a d) \left(a^2 d^2+2 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{7/2} c^{5/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (5 b c-3 a d) (a d+3 b c)}{24 a^3 c^2 x}+\frac{\sqrt{a+b x} \sqrt{c+d x} (5 b c-a d)}{12 a^2 c x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{3 a x^3}","\frac{(b c-a d) \left(a^2 d^2+2 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{7/2} c^{5/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} (5 b c-3 a d) (a d+3 b c)}{24 a^3 c^2 x}+\frac{\sqrt{a+b x} \sqrt{c+d x} (5 b c-a d)}{12 a^2 c x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{3 a x^3}",1,"-(Sqrt[a + b*x]*Sqrt[c + d*x])/(3*a*x^3) + ((5*b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(12*a^2*c*x^2) - ((5*b*c - 3*a*d)*(3*b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(24*a^3*c^2*x) + ((b*c - a*d)*(5*b^2*c^2 + 2*a*b*c*d + a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(7/2)*c^(5/2))","A",6,5,22,0.2273,1,"{99, 151, 12, 93, 208}"
706,1,254,0,0.230748,"\int \frac{x^2 (c+d x)^{3/2}}{\sqrt{a+b x}} \, dx","Int[(x^2*(c + d*x)^(3/2))/Sqrt[a + b*x],x]","\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(35 a^2 d^2+10 a b c d+3 b^2 c^2\right)}{96 b^3 d^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d) \left(35 a^2 d^2+10 a b c d+3 b^2 c^2\right)}{64 b^4 d^2}+\frac{(b c-a d)^2 \left(35 a^2 d^2+10 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{9/2} d^{5/2}}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (7 a d+3 b c)}{24 b^2 d^2}+\frac{x \sqrt{a+b x} (c+d x)^{5/2}}{4 b d}","\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(35 a^2 d^2+10 a b c d+3 b^2 c^2\right)}{96 b^3 d^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d) \left(35 a^2 d^2+10 a b c d+3 b^2 c^2\right)}{64 b^4 d^2}+\frac{(b c-a d)^2 \left(35 a^2 d^2+10 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{9/2} d^{5/2}}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (7 a d+3 b c)}{24 b^2 d^2}+\frac{x \sqrt{a+b x} (c+d x)^{5/2}}{4 b d}",1,"((b*c - a*d)*(3*b^2*c^2 + 10*a*b*c*d + 35*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b^4*d^2) + ((3*b^2*c^2 + 10*a*b*c*d + 35*a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(96*b^3*d^2) - ((3*b*c + 7*a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(24*b^2*d^2) + (x*Sqrt[a + b*x]*(c + d*x)^(5/2))/(4*b*d) + ((b*c - a*d)^2*(3*b^2*c^2 + 10*a*b*c*d + 35*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(9/2)*d^(5/2))","A",7,6,22,0.2727,1,"{90, 80, 50, 63, 217, 206}"
707,1,171,0,0.0886489,"\int \frac{x (c+d x)^{3/2}}{\sqrt{a+b x}} \, dx","Int[(x*(c + d*x)^(3/2))/Sqrt[a + b*x],x]","-\frac{(b c-a d)^2 (5 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{7/2} d^{3/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 a d+b c)}{12 b^2 d}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d) (5 a d+b c)}{8 b^3 d}+\frac{\sqrt{a+b x} (c+d x)^{5/2}}{3 b d}","-\frac{(b c-a d)^2 (5 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{7/2} d^{3/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} (5 a d+b c)}{12 b^2 d}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d) (5 a d+b c)}{8 b^3 d}+\frac{\sqrt{a+b x} (c+d x)^{5/2}}{3 b d}",1,"-((b*c - a*d)*(b*c + 5*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*b^3*d) - ((b*c + 5*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(12*b^2*d) + (Sqrt[a + b*x]*(c + d*x)^(5/2))/(3*b*d) - ((b*c - a*d)^2*(b*c + 5*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(7/2)*d^(3/2))","A",6,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
708,1,113,0,0.0498393,"\int \frac{(c+d x)^{3/2}}{\sqrt{a+b x}} \, dx","Int[(c + d*x)^(3/2)/Sqrt[a + b*x],x]","\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 b^2}+\frac{3 (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{5/2} \sqrt{d}}+\frac{\sqrt{a+b x} (c+d x)^{3/2}}{2 b}","\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 b^2}+\frac{3 (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{5/2} \sqrt{d}}+\frac{\sqrt{a+b x} (c+d x)^{3/2}}{2 b}",1,"(3*(b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*b^2) + (Sqrt[a + b*x]*(c + d*x)^(3/2))/(2*b) + (3*(b*c - a*d)^2*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(5/2)*Sqrt[d])","A",5,4,19,0.2105,1,"{50, 63, 217, 206}"
709,1,116,0,0.0836193,"\int \frac{(c+d x)^{3/2}}{x \sqrt{a+b x}} \, dx","Int[(c + d*x)^(3/2)/(x*Sqrt[a + b*x]),x]","\frac{\sqrt{d} (3 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2}}-\frac{2 c^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a}}+\frac{d \sqrt{a+b x} \sqrt{c+d x}}{b}","\frac{\sqrt{d} (3 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2}}-\frac{2 c^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a}}+\frac{d \sqrt{a+b x} \sqrt{c+d x}}{b}",1,"(d*Sqrt[a + b*x]*Sqrt[c + d*x])/b - (2*c^(3/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/Sqrt[a] + (Sqrt[d]*(3*b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/b^(3/2)","A",7,7,22,0.3182,1,"{102, 157, 63, 217, 206, 93, 208}"
710,1,119,0,0.0785604,"\int \frac{(c+d x)^{3/2}}{x^2 \sqrt{a+b x}} \, dx","Int[(c + d*x)^(3/2)/(x^2*Sqrt[a + b*x]),x]","\frac{\sqrt{c} (b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2}}+\frac{2 d^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b}}-\frac{c \sqrt{a+b x} \sqrt{c+d x}}{a x}","\frac{\sqrt{c} (b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2}}+\frac{2 d^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b}}-\frac{c \sqrt{a+b x} \sqrt{c+d x}}{a x}",1,"-((c*Sqrt[a + b*x]*Sqrt[c + d*x])/(a*x)) + (Sqrt[c]*(b*c - 3*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/a^(3/2) + (2*d^(3/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/Sqrt[b]","A",7,7,22,0.3182,1,"{98, 157, 63, 217, 206, 93, 208}"
711,1,119,0,0.0475916,"\int \frac{(c+d x)^{3/2}}{x^3 \sqrt{a+b x}} \, dx","Int[(c + d*x)^(3/2)/(x^3*Sqrt[a + b*x]),x]","\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 a^2 x}-\frac{3 (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{5/2} \sqrt{c}}-\frac{\sqrt{a+b x} (c+d x)^{3/2}}{2 a x^2}","\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 a^2 x}-\frac{3 (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{5/2} \sqrt{c}}-\frac{\sqrt{a+b x} (c+d x)^{3/2}}{2 a x^2}",1,"(3*(b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*a^2*x) - (Sqrt[a + b*x]*(c + d*x)^(3/2))/(2*a*x^2) - (3*(b*c - a*d)^2*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(5/2)*Sqrt[c])","A",4,3,22,0.1364,1,"{94, 93, 208}"
712,1,180,0,0.0836423,"\int \frac{(c+d x)^{3/2}}{x^4 \sqrt{a+b x}} \, dx","Int[(c + d*x)^(3/2)/(x^4*Sqrt[a + b*x]),x]","\frac{(b c-a d)^2 (a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{7/2} c^{3/2}}+\frac{\sqrt{a+b x} (c+d x)^{3/2} (a d+5 b c)}{12 a^2 c x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d) (a d+5 b c)}{8 a^3 c x}-\frac{\sqrt{a+b x} (c+d x)^{5/2}}{3 a c x^3}","\frac{(b c-a d)^2 (a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{7/2} c^{3/2}}+\frac{\sqrt{a+b x} (c+d x)^{3/2} (a d+5 b c)}{12 a^2 c x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d) (a d+5 b c)}{8 a^3 c x}-\frac{\sqrt{a+b x} (c+d x)^{5/2}}{3 a c x^3}",1,"-((b*c - a*d)*(5*b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*a^3*c*x) + ((5*b*c + a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(12*a^2*c*x^2) - (Sqrt[a + b*x]*(c + d*x)^(5/2))/(3*a*c*x^3) + ((b*c - a*d)^2*(5*b*c + a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(7/2)*c^(3/2))","A",5,4,22,0.1818,1,"{96, 94, 93, 208}"
713,1,266,0,0.207194,"\int \frac{(c+d x)^{3/2}}{x^5 \sqrt{a+b x}} \, dx","Int[(c + d*x)^(3/2)/(x^5*Sqrt[a + b*x]),x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(3 a^2 d^2-46 a b c d+35 b^2 c^2\right)}{96 a^3 c x^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(15 a^2 b c d^2+9 a^3 d^3-145 a b^2 c^2 d+105 b^3 c^3\right)}{192 a^4 c^2 x}-\frac{\left(3 a^2 d^2+10 a b c d+35 b^2 c^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{9/2} c^{5/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (7 b c-9 a d)}{24 a^2 x^3}-\frac{c \sqrt{a+b x} \sqrt{c+d x}}{4 a x^4}","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(3 a^2 d^2-46 a b c d+35 b^2 c^2\right)}{96 a^3 c x^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(15 a^2 b c d^2+9 a^3 d^3-145 a b^2 c^2 d+105 b^3 c^3\right)}{192 a^4 c^2 x}-\frac{\left(3 a^2 d^2+10 a b c d+35 b^2 c^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{9/2} c^{5/2}}+\frac{\sqrt{a+b x} \sqrt{c+d x} (7 b c-9 a d)}{24 a^2 x^3}-\frac{c \sqrt{a+b x} \sqrt{c+d x}}{4 a x^4}",1,"-(c*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*a*x^4) + ((7*b*c - 9*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(24*a^2*x^3) - ((35*b^2*c^2 - 46*a*b*c*d + 3*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(96*a^3*c*x^2) + ((105*b^3*c^3 - 145*a*b^2*c^2*d + 15*a^2*b*c*d^2 + 9*a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(192*a^4*c^2*x) - ((b*c - a*d)^2*(35*b^2*c^2 + 10*a*b*c*d + 3*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(9/2)*c^(5/2))","A",7,5,22,0.2273,1,"{98, 151, 12, 93, 208}"
714,1,314,0,0.2808598,"\int \frac{x^2 (c+d x)^{5/2}}{\sqrt{a+b x}} \, dx","Int[(x^2*(c + d*x)^(5/2))/Sqrt[a + b*x],x]","\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(63 a^2 d^2+14 a b c d+3 b^2 c^2\right)}{240 b^3 d^2}+\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d) \left(63 a^2 d^2+14 a b c d+3 b^2 c^2\right)}{192 b^4 d^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2 \left(63 a^2 d^2+14 a b c d+3 b^2 c^2\right)}{128 b^5 d^2}+\frac{(b c-a d)^3 \left(63 a^2 d^2+14 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{11/2} d^{5/2}}-\frac{3 \sqrt{a+b x} (c+d x)^{7/2} (3 a d+b c)}{40 b^2 d^2}+\frac{x \sqrt{a+b x} (c+d x)^{7/2}}{5 b d}","\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(63 a^2 d^2+14 a b c d+3 b^2 c^2\right)}{240 b^3 d^2}+\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d) \left(63 a^2 d^2+14 a b c d+3 b^2 c^2\right)}{192 b^4 d^2}+\frac{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2 \left(63 a^2 d^2+14 a b c d+3 b^2 c^2\right)}{128 b^5 d^2}+\frac{(b c-a d)^3 \left(63 a^2 d^2+14 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{11/2} d^{5/2}}-\frac{3 \sqrt{a+b x} (c+d x)^{7/2} (3 a d+b c)}{40 b^2 d^2}+\frac{x \sqrt{a+b x} (c+d x)^{7/2}}{5 b d}",1,"((b*c - a*d)^2*(3*b^2*c^2 + 14*a*b*c*d + 63*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*b^5*d^2) + ((b*c - a*d)*(3*b^2*c^2 + 14*a*b*c*d + 63*a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(192*b^4*d^2) + ((3*b^2*c^2 + 14*a*b*c*d + 63*a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(240*b^3*d^2) - (3*(b*c + 3*a*d)*Sqrt[a + b*x]*(c + d*x)^(7/2))/(40*b^2*d^2) + (x*Sqrt[a + b*x]*(c + d*x)^(7/2))/(5*b*d) + ((b*c - a*d)^3*(3*b^2*c^2 + 14*a*b*c*d + 63*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(128*b^(11/2)*d^(5/2))","A",8,6,22,0.2727,1,"{90, 80, 50, 63, 217, 206}"
715,1,217,0,0.1216982,"\int \frac{x (c+d x)^{5/2}}{\sqrt{a+b x}} \, dx","Int[(x*(c + d*x)^(5/2))/Sqrt[a + b*x],x]","-\frac{5 (b c-a d)^3 (7 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{9/2} d^{3/2}}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (7 a d+b c)}{24 b^2 d}-\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d) (7 a d+b c)}{96 b^3 d}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2 (7 a d+b c)}{64 b^4 d}+\frac{\sqrt{a+b x} (c+d x)^{7/2}}{4 b d}","-\frac{5 (b c-a d)^3 (7 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{9/2} d^{3/2}}-\frac{\sqrt{a+b x} (c+d x)^{5/2} (7 a d+b c)}{24 b^2 d}-\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d) (7 a d+b c)}{96 b^3 d}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2 (7 a d+b c)}{64 b^4 d}+\frac{\sqrt{a+b x} (c+d x)^{7/2}}{4 b d}",1,"(-5*(b*c - a*d)^2*(b*c + 7*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b^4*d) - (5*(b*c - a*d)*(b*c + 7*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(96*b^3*d) - ((b*c + 7*a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(24*b^2*d) + (Sqrt[a + b*x]*(c + d*x)^(7/2))/(4*b*d) - (5*(b*c - a*d)^3*(b*c + 7*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(9/2)*d^(3/2))","A",7,5,20,0.2500,1,"{80, 50, 63, 217, 206}"
716,1,148,0,0.069809,"\int \frac{(c+d x)^{5/2}}{\sqrt{a+b x}} \, dx","Int[(c + d*x)^(5/2)/Sqrt[a + b*x],x]","\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 b^3}+\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}{12 b^2}+\frac{5 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{7/2} \sqrt{d}}+\frac{\sqrt{a+b x} (c+d x)^{5/2}}{3 b}","\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 b^3}+\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}{12 b^2}+\frac{5 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{7/2} \sqrt{d}}+\frac{\sqrt{a+b x} (c+d x)^{5/2}}{3 b}",1,"(5*(b*c - a*d)^2*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*b^3) + (5*(b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(12*b^2) + (Sqrt[a + b*x]*(c + d*x)^(5/2))/(3*b) + (5*(b*c - a*d)^3*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(7/2)*Sqrt[d])","A",6,4,19,0.2105,1,"{50, 63, 217, 206}"
717,1,171,0,0.1441466,"\int \frac{(c+d x)^{5/2}}{x \sqrt{a+b x}} \, dx","Int[(c + d*x)^(5/2)/(x*Sqrt[a + b*x]),x]","\frac{\sqrt{d} \left(3 a^2 d^2-10 a b c d+15 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{5/2}}+\frac{d \sqrt{a+b x} \sqrt{c+d x} (7 b c-3 a d)}{4 b^2}-\frac{2 c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a}}+\frac{d \sqrt{a+b x} (c+d x)^{3/2}}{2 b}","\frac{\sqrt{d} \left(3 a^2 d^2-10 a b c d+15 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{5/2}}+\frac{d \sqrt{a+b x} \sqrt{c+d x} (7 b c-3 a d)}{4 b^2}-\frac{2 c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a}}+\frac{d \sqrt{a+b x} (c+d x)^{3/2}}{2 b}",1,"(d*(7*b*c - 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*b^2) + (d*Sqrt[a + b*x]*(c + d*x)^(3/2))/(2*b) - (2*c^(5/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/Sqrt[a] + (Sqrt[d]*(15*b^2*c^2 - 10*a*b*c*d + 3*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(5/2))","A",8,8,22,0.3636,1,"{102, 154, 157, 63, 217, 206, 93, 208}"
718,1,160,0,0.1578033,"\int \frac{(c+d x)^{5/2}}{x^2 \sqrt{a+b x}} \, dx","Int[(c + d*x)^(5/2)/(x^2*Sqrt[a + b*x]),x]","\frac{c^{3/2} (b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2}}+\frac{d^{3/2} (5 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2}}-\frac{c \sqrt{a+b x} (c+d x)^{3/2}}{a x}+\frac{d \sqrt{a+b x} \sqrt{c+d x} (a d+b c)}{a b}","\frac{c^{3/2} (b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2}}+\frac{d^{3/2} (5 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2}}-\frac{c \sqrt{a+b x} (c+d x)^{3/2}}{a x}+\frac{d \sqrt{a+b x} \sqrt{c+d x} (a d+b c)}{a b}",1,"(d*(b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(a*b) - (c*Sqrt[a + b*x]*(c + d*x)^(3/2))/(a*x) + (c^(3/2)*(b*c - 5*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/a^(3/2) + (d^(3/2)*(5*b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/b^(3/2)","A",8,8,22,0.3636,1,"{98, 154, 157, 63, 217, 206, 93, 208}"
719,1,177,0,0.1239043,"\int \frac{(c+d x)^{5/2}}{x^3 \sqrt{a+b x}} \, dx","Int[(c + d*x)^(5/2)/(x^3*Sqrt[a + b*x]),x]","-\frac{\sqrt{c} \left(15 a^2 d^2-10 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{5/2}}+\frac{c \sqrt{a+b x} \sqrt{c+d x} (3 b c-7 a d)}{4 a^2 x}+\frac{2 d^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b}}-\frac{c \sqrt{a+b x} (c+d x)^{3/2}}{2 a x^2}","-\frac{\sqrt{c} \left(15 a^2 d^2-10 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{5/2}}+\frac{c \sqrt{a+b x} \sqrt{c+d x} (3 b c-7 a d)}{4 a^2 x}+\frac{2 d^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b}}-\frac{c \sqrt{a+b x} (c+d x)^{3/2}}{2 a x^2}",1,"(c*(3*b*c - 7*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*a^2*x) - (c*Sqrt[a + b*x]*(c + d*x)^(3/2))/(2*a*x^2) - (Sqrt[c]*(3*b^2*c^2 - 10*a*b*c*d + 15*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(5/2)) + (2*d^(5/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/Sqrt[b]","A",8,8,22,0.3636,1,"{98, 149, 157, 63, 217, 206, 93, 208}"
720,1,157,0,0.0751159,"\int \frac{(c+d x)^{5/2}}{x^4 \sqrt{a+b x}} \, dx","Int[(c + d*x)^(5/2)/(x^4*Sqrt[a + b*x]),x]","\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}{12 a^2 x^2}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 a^3 x}+\frac{5 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{7/2} \sqrt{c}}-\frac{\sqrt{a+b x} (c+d x)^{5/2}}{3 a x^3}","\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}{12 a^2 x^2}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2}{8 a^3 x}+\frac{5 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{7/2} \sqrt{c}}-\frac{\sqrt{a+b x} (c+d x)^{5/2}}{3 a x^3}",1,"(-5*(b*c - a*d)^2*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*a^3*x) + (5*(b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(12*a^2*x^2) - (Sqrt[a + b*x]*(c + d*x)^(5/2))/(3*a*x^3) + (5*(b*c - a*d)^3*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(7/2)*Sqrt[c])","A",5,3,22,0.1364,1,"{94, 93, 208}"
721,1,229,0,0.1189831,"\int \frac{(c+d x)^{5/2}}{x^5 \sqrt{a+b x}} \, dx","Int[(c + d*x)^(5/2)/(x^5*Sqrt[a + b*x]),x]","-\frac{5 (b c-a d)^3 (a d+7 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{9/2} c^{3/2}}+\frac{\sqrt{a+b x} (c+d x)^{5/2} (a d+7 b c)}{24 a^2 c x^3}-\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d) (a d+7 b c)}{96 a^3 c x^2}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2 (a d+7 b c)}{64 a^4 c x}-\frac{\sqrt{a+b x} (c+d x)^{7/2}}{4 a c x^4}","-\frac{5 (b c-a d)^3 (a d+7 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{9/2} c^{3/2}}+\frac{\sqrt{a+b x} (c+d x)^{5/2} (a d+7 b c)}{24 a^2 c x^3}-\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d) (a d+7 b c)}{96 a^3 c x^2}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^2 (a d+7 b c)}{64 a^4 c x}-\frac{\sqrt{a+b x} (c+d x)^{7/2}}{4 a c x^4}",1,"(5*(b*c - a*d)^2*(7*b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*a^4*c*x) - (5*(b*c - a*d)*(7*b*c + a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(96*a^3*c*x^2) + ((7*b*c + a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(24*a^2*c*x^3) - (Sqrt[a + b*x]*(c + d*x)^(7/2))/(4*a*c*x^4) - (5*(b*c - a*d)^3*(7*b*c + a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(9/2)*c^(3/2))","A",6,4,22,0.1818,1,"{96, 94, 93, 208}"
722,1,346,0,0.3965124,"\int \frac{(c+d x)^{5/2}}{x^6 \sqrt{a+b x}} \, dx","Int[(c + d*x)^(5/2)/(x^6*Sqrt[a + b*x]),x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(481 a^2 b c d^2-15 a^3 d^3-749 a b^2 c^2 d+315 b^3 c^3\right)}{960 a^4 c x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(93 a^2 d^2-148 a b c d+63 b^2 c^2\right)}{240 a^3 x^3}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(1564 a^2 b^2 c^2 d^2-90 a^3 b c d^3-45 a^4 d^4-2310 a b^3 c^3 d+945 b^4 c^4\right)}{1920 a^5 c^2 x}+\frac{\left(3 a^2 d^2+14 a b c d+63 b^2 c^2\right) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{11/2} c^{5/2}}+\frac{c \sqrt{a+b x} \sqrt{c+d x} (9 b c-13 a d)}{40 a^2 x^4}-\frac{c \sqrt{a+b x} (c+d x)^{3/2}}{5 a x^5}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(481 a^2 b c d^2-15 a^3 d^3-749 a b^2 c^2 d+315 b^3 c^3\right)}{960 a^4 c x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(93 a^2 d^2-148 a b c d+63 b^2 c^2\right)}{240 a^3 x^3}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(1564 a^2 b^2 c^2 d^2-90 a^3 b c d^3-45 a^4 d^4-2310 a b^3 c^3 d+945 b^4 c^4\right)}{1920 a^5 c^2 x}+\frac{\left(3 a^2 d^2+14 a b c d+63 b^2 c^2\right) (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{128 a^{11/2} c^{5/2}}+\frac{c \sqrt{a+b x} \sqrt{c+d x} (9 b c-13 a d)}{40 a^2 x^4}-\frac{c \sqrt{a+b x} (c+d x)^{3/2}}{5 a x^5}",1,"(c*(9*b*c - 13*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(40*a^2*x^4) - ((63*b^2*c^2 - 148*a*b*c*d + 93*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(240*a^3*x^3) + ((315*b^3*c^3 - 749*a*b^2*c^2*d + 481*a^2*b*c*d^2 - 15*a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(960*a^4*c*x^2) - ((945*b^4*c^4 - 2310*a*b^3*c^3*d + 1564*a^2*b^2*c^2*d^2 - 90*a^3*b*c*d^3 - 45*a^4*d^4)*Sqrt[a + b*x]*Sqrt[c + d*x])/(1920*a^5*c^2*x) - (c*Sqrt[a + b*x]*(c + d*x)^(3/2))/(5*a*x^5) + ((b*c - a*d)^3*(63*b^2*c^2 + 14*a*b*c*d + 3*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(128*a^(11/2)*c^(5/2))","A",8,6,22,0.2727,1,"{98, 149, 151, 12, 93, 208}"
723,1,118,0,0.029721,"\int \frac{x^4 (1+x)^{3/2}}{\sqrt{1-x}} \, dx","Int[(x^4*(1 + x)^(3/2))/Sqrt[1 - x],x]","-\frac{1}{6} \sqrt{1-x} (x+1)^{5/2} x^3-\frac{1}{15} \sqrt{1-x} (x+1)^{5/2} x^2-\frac{11}{48} \sqrt{1-x} (x+1)^{3/2}-\frac{1}{120} \sqrt{1-x} (x+1)^{5/2} (19 x+18)-\frac{11}{16} \sqrt{1-x} \sqrt{x+1}+\frac{11}{16} \sin ^{-1}(x)","-\frac{1}{6} \sqrt{1-x} (x+1)^{5/2} x^3-\frac{1}{15} \sqrt{1-x} (x+1)^{5/2} x^2-\frac{11}{48} \sqrt{1-x} (x+1)^{3/2}-\frac{1}{120} \sqrt{1-x} (x+1)^{5/2} (19 x+18)-\frac{11}{16} \sqrt{1-x} \sqrt{x+1}+\frac{11}{16} \sin ^{-1}(x)",1,"(-11*Sqrt[1 - x]*Sqrt[1 + x])/16 - (11*Sqrt[1 - x]*(1 + x)^(3/2))/48 - (Sqrt[1 - x]*x^2*(1 + x)^(5/2))/15 - (Sqrt[1 - x]*x^3*(1 + x)^(5/2))/6 - (Sqrt[1 - x]*(1 + x)^(5/2)*(18 + 19*x))/120 + (11*ArcSin[x])/16","A",7,6,20,0.3000,1,"{100, 153, 147, 50, 41, 216}"
724,1,110,0,0.0303069,"\int \frac{x^3 (1+x)^{3/2}}{\sqrt{1-x}} \, dx","Int[(x^3*(1 + x)^(3/2))/Sqrt[1 - x],x]","-\frac{1}{5} \sqrt{1-x} x^2 (x+1)^{5/2}-\frac{1}{10} \sqrt{1-x} (x+1)^{7/2}-\frac{1}{10} \sqrt{1-x} (x+1)^{5/2}-\frac{1}{4} \sqrt{1-x} (x+1)^{3/2}-\frac{3}{4} \sqrt{1-x} \sqrt{x+1}+\frac{3}{4} \sin ^{-1}(x)","-\frac{1}{5} \sqrt{1-x} x^2 (x+1)^{5/2}-\frac{1}{10} \sqrt{1-x} (x+1)^{7/2}-\frac{1}{10} \sqrt{1-x} (x+1)^{5/2}-\frac{1}{4} \sqrt{1-x} (x+1)^{3/2}-\frac{3}{4} \sqrt{1-x} \sqrt{x+1}+\frac{3}{4} \sin ^{-1}(x)",1,"(-3*Sqrt[1 - x]*Sqrt[1 + x])/4 - (Sqrt[1 - x]*(1 + x)^(3/2))/4 - (Sqrt[1 - x]*(1 + x)^(5/2))/10 - (Sqrt[1 - x]*x^2*(1 + x)^(5/2))/5 - (Sqrt[1 - x]*(1 + x)^(7/2))/10 + (3*ArcSin[x])/4","A",8,6,20,0.3000,1,"{100, 21, 80, 50, 41, 216}"
725,1,88,0,0.0187907,"\int \frac{x^2 (1+x)^{3/2}}{\sqrt{1-x}} \, dx","Int[(x^2*(1 + x)^(3/2))/Sqrt[1 - x],x]","-\frac{1}{4} \sqrt{1-x} x (x+1)^{5/2}-\frac{1}{6} \sqrt{1-x} (x+1)^{5/2}-\frac{7}{24} \sqrt{1-x} (x+1)^{3/2}-\frac{7}{8} \sqrt{1-x} \sqrt{x+1}+\frac{7}{8} \sin ^{-1}(x)","-\frac{1}{4} \sqrt{1-x} x (x+1)^{5/2}-\frac{1}{6} \sqrt{1-x} (x+1)^{5/2}-\frac{7}{24} \sqrt{1-x} (x+1)^{3/2}-\frac{7}{8} \sqrt{1-x} \sqrt{x+1}+\frac{7}{8} \sin ^{-1}(x)",1,"(-7*Sqrt[1 - x]*Sqrt[1 + x])/8 - (7*Sqrt[1 - x]*(1 + x)^(3/2))/24 - (Sqrt[1 - x]*(1 + x)^(5/2))/6 - (Sqrt[1 - x]*x*(1 + x)^(5/2))/4 + (7*ArcSin[x])/8","A",6,5,20,0.2500,1,"{90, 80, 50, 41, 216}"
726,1,61,0,0.0113053,"\int \frac{x (1+x)^{3/2}}{\sqrt{1-x}} \, dx","Int[(x*(1 + x)^(3/2))/Sqrt[1 - x],x]","-\frac{1}{3} \sqrt{1-x} (x+1)^{5/2}-\frac{1}{3} \sqrt{1-x} (x+1)^{3/2}-\sqrt{1-x} \sqrt{x+1}+\sin ^{-1}(x)","-\frac{1}{3} \sqrt{1-x} (x+1)^{5/2}-\frac{1}{3} \sqrt{1-x} (x+1)^{3/2}-\sqrt{1-x} \sqrt{x+1}+\sin ^{-1}(x)",1,"-(Sqrt[1 - x]*Sqrt[1 + x]) - (Sqrt[1 - x]*(1 + x)^(3/2))/3 - (Sqrt[1 - x]*(1 + x)^(5/2))/3 + ArcSin[x]","A",5,4,18,0.2222,1,"{80, 50, 41, 216}"
727,1,47,0,0.0079461,"\int \frac{(1+x)^{3/2}}{\sqrt{1-x}} \, dx","Int[(1 + x)^(3/2)/Sqrt[1 - x],x]","-\frac{1}{2} \sqrt{1-x} (x+1)^{3/2}-\frac{3}{2} \sqrt{1-x} \sqrt{x+1}+\frac{3}{2} \sin ^{-1}(x)","-\frac{1}{2} \sqrt{1-x} (x+1)^{3/2}-\frac{3}{2} \sqrt{1-x} \sqrt{x+1}+\frac{3}{2} \sin ^{-1}(x)",1,"(-3*Sqrt[1 - x]*Sqrt[1 + x])/2 - (Sqrt[1 - x]*(1 + x)^(3/2))/2 + (3*ArcSin[x])/2","A",4,3,17,0.1765,1,"{50, 41, 216}"
728,1,43,0,0.0113992,"\int \frac{(1+x)^{3/2}}{\sqrt{1-x} x} \, dx","Int[(1 + x)^(3/2)/(Sqrt[1 - x]*x),x]","-\sqrt{1-x} \sqrt{x+1}+2 \sin ^{-1}(x)-\tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)","-\sqrt{1-x} \sqrt{x+1}+2 \sin ^{-1}(x)-\tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)",1,"-(Sqrt[1 - x]*Sqrt[1 + x]) + 2*ArcSin[x] - ArcTanh[Sqrt[1 - x]*Sqrt[1 + x]]","A",6,6,20,0.3000,1,"{102, 157, 41, 216, 92, 206}"
729,1,44,0,0.0165006,"\int \frac{(1+x)^{3/2}}{\sqrt{1-x} x^2} \, dx","Int[(1 + x)^(3/2)/(Sqrt[1 - x]*x^2),x]","-\frac{\sqrt{1-x} \sqrt{x+1}}{x}+\sin ^{-1}(x)-2 \tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)","-\frac{\sqrt{1-x} \sqrt{x+1}}{x}+\sin ^{-1}(x)-2 \tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)",1,"-((Sqrt[1 - x]*Sqrt[1 + x])/x) + ArcSin[x] - 2*ArcTanh[Sqrt[1 - x]*Sqrt[1 + x]]","A",6,6,20,0.3000,1,"{98, 157, 41, 216, 92, 206}"
730,1,69,0,0.0100055,"\int \frac{(1+x)^{3/2}}{\sqrt{1-x} x^3} \, dx","Int[(1 + x)^(3/2)/(Sqrt[1 - x]*x^3),x]","-\frac{\sqrt{1-x} (x+1)^{3/2}}{2 x^2}-\frac{3 \sqrt{1-x} \sqrt{x+1}}{2 x}-\frac{3}{2} \tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)","-\frac{\sqrt{1-x} (x+1)^{3/2}}{2 x^2}-\frac{3 \sqrt{1-x} \sqrt{x+1}}{2 x}-\frac{3}{2} \tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)",1,"(-3*Sqrt[1 - x]*Sqrt[1 + x])/(2*x) - (Sqrt[1 - x]*(1 + x)^(3/2))/(2*x^2) - (3*ArcTanh[Sqrt[1 - x]*Sqrt[1 + x]])/2","A",4,3,20,0.1500,1,"{94, 92, 206}"
731,1,88,0,0.0164854,"\int \frac{(1+x)^{3/2}}{\sqrt{1-x} x^4} \, dx","Int[(1 + x)^(3/2)/(Sqrt[1 - x]*x^4),x]","-\frac{\sqrt{1-x} (x+1)^{5/2}}{3 x^3}-\frac{\sqrt{1-x} (x+1)^{3/2}}{3 x^2}-\frac{\sqrt{1-x} \sqrt{x+1}}{x}-\tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)","-\frac{\sqrt{1-x} (x+1)^{5/2}}{3 x^3}-\frac{\sqrt{1-x} (x+1)^{3/2}}{3 x^2}-\frac{\sqrt{1-x} \sqrt{x+1}}{x}-\tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)",1,"-((Sqrt[1 - x]*Sqrt[1 + x])/x) - (Sqrt[1 - x]*(1 + x)^(3/2))/(3*x^2) - (Sqrt[1 - x]*(1 + x)^(5/2))/(3*x^3) - ArcTanh[Sqrt[1 - x]*Sqrt[1 + x]]","A",5,4,20,0.2000,1,"{96, 94, 92, 206}"
732,1,115,0,0.0332794,"\int \frac{(1+x)^{3/2}}{\sqrt{1-x} x^5} \, dx","Int[(1 + x)^(3/2)/(Sqrt[1 - x]*x^5),x]","-\frac{7 \sqrt{1-x} \sqrt{x+1}}{8 x^2}-\frac{2 \sqrt{1-x} \sqrt{x+1}}{3 x^3}-\frac{\sqrt{1-x} \sqrt{x+1}}{4 x^4}-\frac{4 \sqrt{1-x} \sqrt{x+1}}{3 x}-\frac{7}{8} \tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)","-\frac{7 \sqrt{1-x} \sqrt{x+1}}{8 x^2}-\frac{2 \sqrt{1-x} \sqrt{x+1}}{3 x^3}-\frac{\sqrt{1-x} \sqrt{x+1}}{4 x^4}-\frac{4 \sqrt{1-x} \sqrt{x+1}}{3 x}-\frac{7}{8} \tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)",1,"-(Sqrt[1 - x]*Sqrt[1 + x])/(4*x^4) - (2*Sqrt[1 - x]*Sqrt[1 + x])/(3*x^3) - (7*Sqrt[1 - x]*Sqrt[1 + x])/(8*x^2) - (4*Sqrt[1 - x]*Sqrt[1 + x])/(3*x) - (7*ArcTanh[Sqrt[1 - x]*Sqrt[1 + x]])/8","A",7,5,20,0.2500,1,"{98, 151, 12, 92, 206}"
733,1,169,0,0.1148093,"\int \frac{x^3}{\sqrt{a+b x} \sqrt{c+d x}} \, dx","Int[x^3/(Sqrt[a + b*x]*Sqrt[c + d*x]),x]","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(15 a^2 d^2-10 b d x (a d+b c)+14 a b c d+15 b^2 c^2\right)}{24 b^3 d^3}-\frac{(a d+b c) \left(5 a^2 d^2-2 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{7/2} d^{7/2}}+\frac{x^2 \sqrt{a+b x} \sqrt{c+d x}}{3 b d}","\frac{\sqrt{a+b x} \sqrt{c+d x} \left(15 a^2 d^2-10 b d x (a d+b c)+14 a b c d+15 b^2 c^2\right)}{24 b^3 d^3}-\frac{(a d+b c) \left(5 a^2 d^2-2 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{7/2} d^{7/2}}+\frac{x^2 \sqrt{a+b x} \sqrt{c+d x}}{3 b d}",1,"(x^2*Sqrt[a + b*x]*Sqrt[c + d*x])/(3*b*d) + (Sqrt[a + b*x]*Sqrt[c + d*x]*(15*b^2*c^2 + 14*a*b*c*d + 15*a^2*d^2 - 10*b*d*(b*c + a*d)*x))/(24*b^3*d^3) - ((b*c + a*d)*(5*b^2*c^2 - 2*a*b*c*d + 5*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(7/2)*d^(7/2))","A",5,5,22,0.2273,1,"{100, 147, 63, 217, 206}"
734,1,127,0,0.0914174,"\int \frac{x^2}{\sqrt{a+b x} \sqrt{c+d x}} \, dx","Int[x^2/(Sqrt[a + b*x]*Sqrt[c + d*x]),x]","-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (a d+b c)}{4 b^2 d^2}-\frac{\left(4 a b c d-3 (a d+b c)^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{5/2} d^{5/2}}+\frac{x \sqrt{a+b x} \sqrt{c+d x}}{2 b d}","-\frac{3 \sqrt{a+b x} \sqrt{c+d x} (a d+b c)}{4 b^2 d^2}-\frac{\left(4 a b c d-3 (a d+b c)^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{5/2} d^{5/2}}+\frac{x \sqrt{a+b x} \sqrt{c+d x}}{2 b d}",1,"(-3*(b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*b^2*d^2) + (x*Sqrt[a + b*x]*Sqrt[c + d*x])/(2*b*d) - ((4*a*b*c*d - 3*(b*c + a*d)^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(5/2)*d^(5/2))","A",5,5,22,0.2273,1,"{90, 80, 63, 217, 206}"
735,1,75,0,0.0422881,"\int \frac{x}{\sqrt{a+b x} \sqrt{c+d x}} \, dx","Int[x/(Sqrt[a + b*x]*Sqrt[c + d*x]),x]","\frac{\sqrt{a+b x} \sqrt{c+d x}}{b d}-\frac{(a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2} d^{3/2}}","\frac{\sqrt{a+b x} \sqrt{c+d x}}{b d}-\frac{(a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2} d^{3/2}}",1,"(Sqrt[a + b*x]*Sqrt[c + d*x])/(b*d) - ((b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(b^(3/2)*d^(3/2))","A",4,4,20,0.2000,1,"{80, 63, 217, 206}"
736,1,42,0,0.0288273,"\int \frac{1}{\sqrt{a+b x} \sqrt{c+d x}} \, dx","Int[1/(Sqrt[a + b*x]*Sqrt[c + d*x]),x]","\frac{2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} \sqrt{d}}","\frac{2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} \sqrt{d}}",1,"(2*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(Sqrt[b]*Sqrt[d])","A",3,3,19,0.1579,1,"{63, 217, 206}"
737,1,42,0,0.0133277,"\int \frac{1}{x \sqrt{a+b x} \sqrt{c+d x}} \, dx","Int[1/(x*Sqrt[a + b*x]*Sqrt[c + d*x]),x]","-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a} \sqrt{c}}","-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a} \sqrt{c}}",1,"(-2*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(Sqrt[a]*Sqrt[c])","A",2,2,22,0.09091,1,"{93, 208}"
738,1,78,0,0.031853,"\int \frac{1}{x^2 \sqrt{a+b x} \sqrt{c+d x}} \, dx","Int[1/(x^2*Sqrt[a + b*x]*Sqrt[c + d*x]),x]","\frac{(a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2} c^{3/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{a c x}","\frac{(a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2} c^{3/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{a c x}",1,"-((Sqrt[a + b*x]*Sqrt[c + d*x])/(a*c*x)) + ((b*c + a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(a^(3/2)*c^(3/2))","A",3,3,22,0.1364,1,"{96, 93, 208}"
739,1,137,0,0.0679771,"\int \frac{1}{x^3 \sqrt{a+b x} \sqrt{c+d x}} \, dx","Int[1/(x^3*Sqrt[a + b*x]*Sqrt[c + d*x]),x]","-\frac{\left(3 a^2 d^2+2 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{5/2} c^{5/2}}+\frac{3 \sqrt{a+b x} \sqrt{c+d x} (a d+b c)}{4 a^2 c^2 x}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{2 a c x^2}","-\frac{\left(3 a^2 d^2+2 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{5/2} c^{5/2}}+\frac{3 \sqrt{a+b x} \sqrt{c+d x} (a d+b c)}{4 a^2 c^2 x}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{2 a c x^2}",1,"-(Sqrt[a + b*x]*Sqrt[c + d*x])/(2*a*c*x^2) + (3*(b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*a^2*c^2*x) - ((3*b^2*c^2 + 2*a*b*c*d + 3*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(5/2)*c^(5/2))","A",5,5,22,0.2273,1,"{103, 151, 12, 93, 208}"
740,1,198,0,0.128342,"\int \frac{1}{x^4 \sqrt{a+b x} \sqrt{c+d x}} \, dx","Int[1/(x^4*Sqrt[a + b*x]*Sqrt[c + d*x]),x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(15 a^2 d^2+14 a b c d+15 b^2 c^2\right)}{24 a^3 c^3 x}+\frac{\left(5 a^2 d^2-2 a b c d+5 b^2 c^2\right) (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{7/2} c^{7/2}}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} (a d+b c)}{12 a^2 c^2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{3 a c x^3}","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(15 a^2 d^2+14 a b c d+15 b^2 c^2\right)}{24 a^3 c^3 x}+\frac{\left(5 a^2 d^2-2 a b c d+5 b^2 c^2\right) (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{7/2} c^{7/2}}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} (a d+b c)}{12 a^2 c^2 x^2}-\frac{\sqrt{a+b x} \sqrt{c+d x}}{3 a c x^3}",1,"-(Sqrt[a + b*x]*Sqrt[c + d*x])/(3*a*c*x^3) + (5*(b*c + a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(12*a^2*c^2*x^2) - ((15*b^2*c^2 + 14*a*b*c*d + 15*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(24*a^3*c^3*x) + ((b*c + a*d)*(5*b^2*c^2 - 2*a*b*c*d + 5*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(7/2)*c^(7/2))","A",6,5,22,0.2273,1,"{103, 151, 12, 93, 208}"
741,1,175,0,0.1141172,"\int \frac{x^3}{\sqrt{a+b x} (c+d x)^{3/2}} \, dx","Int[x^3/(Sqrt[a + b*x]*(c + d*x)^(3/2)),x]","\frac{3 \left(a^2 d^2+2 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{5/2} d^{7/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} ((5 b c-3 a d) (a d+3 b c)-2 b d x (5 b c-a d))}{4 b^2 d^3 (b c-a d)}-\frac{2 c x^2 \sqrt{a+b x}}{d \sqrt{c+d x} (b c-a d)}","\frac{3 \left(a^2 d^2+2 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{5/2} d^{7/2}}-\frac{\sqrt{a+b x} \sqrt{c+d x} ((5 b c-3 a d) (a d+3 b c)-2 b d x (5 b c-a d))}{4 b^2 d^3 (b c-a d)}-\frac{2 c x^2 \sqrt{a+b x}}{d \sqrt{c+d x} (b c-a d)}",1,"(-2*c*x^2*Sqrt[a + b*x])/(d*(b*c - a*d)*Sqrt[c + d*x]) - (Sqrt[a + b*x]*Sqrt[c + d*x]*((5*b*c - 3*a*d)*(3*b*c + a*d) - 2*b*d*(5*b*c - a*d)*x))/(4*b^2*d^3*(b*c - a*d)) + (3*(5*b^2*c^2 + 2*a*b*c*d + a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(5/2)*d^(7/2))","A",5,5,22,0.2273,1,"{98, 147, 63, 217, 206}"
742,1,112,0,0.0924784,"\int \frac{x^2}{\sqrt{a+b x} (c+d x)^{3/2}} \, dx","Int[x^2/(Sqrt[a + b*x]*(c + d*x)^(3/2)),x]","-\frac{(a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2} d^{5/2}}+\frac{2 c^2 \sqrt{a+b x}}{d^2 \sqrt{c+d x} (b c-a d)}+\frac{\sqrt{a+b x} \sqrt{c+d x}}{b d^2}","-\frac{(a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2} d^{5/2}}+\frac{2 c^2 \sqrt{a+b x}}{d^2 \sqrt{c+d x} (b c-a d)}+\frac{\sqrt{a+b x} \sqrt{c+d x}}{b d^2}",1,"(2*c^2*Sqrt[a + b*x])/(d^2*(b*c - a*d)*Sqrt[c + d*x]) + (Sqrt[a + b*x]*Sqrt[c + d*x])/(b*d^2) - ((3*b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(b^(3/2)*d^(5/2))","A",5,5,22,0.2273,1,"{89, 80, 63, 217, 206}"
743,1,77,0,0.0432569,"\int \frac{x}{\sqrt{a+b x} (c+d x)^{3/2}} \, dx","Int[x/(Sqrt[a + b*x]*(c + d*x)^(3/2)),x]","\frac{2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} d^{3/2}}-\frac{2 c \sqrt{a+b x}}{d \sqrt{c+d x} (b c-a d)}","\frac{2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} d^{3/2}}-\frac{2 c \sqrt{a+b x}}{d \sqrt{c+d x} (b c-a d)}",1,"(-2*c*Sqrt[a + b*x])/(d*(b*c - a*d)*Sqrt[c + d*x]) + (2*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(Sqrt[b]*d^(3/2))","A",4,4,20,0.2000,1,"{78, 63, 217, 206}"
744,1,30,0,0.0030084,"\int \frac{1}{\sqrt{a+b x} (c+d x)^{3/2}} \, dx","Int[1/(Sqrt[a + b*x]*(c + d*x)^(3/2)),x]","\frac{2 \sqrt{a+b x}}{\sqrt{c+d x} (b c-a d)}","\frac{2 \sqrt{a+b x}}{\sqrt{c+d x} (b c-a d)}",1,"(2*Sqrt[a + b*x])/((b*c - a*d)*Sqrt[c + d*x])","A",1,1,19,0.05263,1,"{37}"
745,1,77,0,0.0311402,"\int \frac{1}{x \sqrt{a+b x} (c+d x)^{3/2}} \, dx","Int[1/(x*Sqrt[a + b*x]*(c + d*x)^(3/2)),x]","-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a} c^{3/2}}-\frac{2 d \sqrt{a+b x}}{c \sqrt{c+d x} (b c-a d)}","-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a} c^{3/2}}-\frac{2 d \sqrt{a+b x}}{c \sqrt{c+d x} (b c-a d)}",1,"(-2*d*Sqrt[a + b*x])/(c*(b*c - a*d)*Sqrt[c + d*x]) - (2*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(Sqrt[a]*c^(3/2))","A",3,3,22,0.1364,1,"{96, 93, 208}"
746,1,124,0,0.07997,"\int \frac{1}{x^2 \sqrt{a+b x} (c+d x)^{3/2}} \, dx","Int[1/(x^2*Sqrt[a + b*x]*(c + d*x)^(3/2)),x]","\frac{(3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2} c^{5/2}}-\frac{d \sqrt{a+b x} (b c-3 a d)}{a c^2 \sqrt{c+d x} (b c-a d)}-\frac{\sqrt{a+b x}}{a c x \sqrt{c+d x}}","\frac{(3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2} c^{5/2}}-\frac{d \sqrt{a+b x} (b c-3 a d)}{a c^2 \sqrt{c+d x} (b c-a d)}-\frac{\sqrt{a+b x}}{a c x \sqrt{c+d x}}",1,"-((d*(b*c - 3*a*d)*Sqrt[a + b*x])/(a*c^2*(b*c - a*d)*Sqrt[c + d*x])) - Sqrt[a + b*x]/(a*c*x*Sqrt[c + d*x]) + ((b*c + 3*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(a^(3/2)*c^(5/2))","A",5,5,22,0.2273,1,"{103, 152, 12, 93, 208}"
747,1,194,0,0.1570927,"\int \frac{1}{x^3 \sqrt{a+b x} (c+d x)^{3/2}} \, dx","Int[1/(x^3*Sqrt[a + b*x]*(c + d*x)^(3/2)),x]","-\frac{3 \left(5 a^2 d^2+2 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{5/2} c^{7/2}}+\frac{d \sqrt{a+b x} (3 b c-5 a d) (3 a d+b c)}{4 a^2 c^3 \sqrt{c+d x} (b c-a d)}+\frac{\sqrt{a+b x} (5 a d+3 b c)}{4 a^2 c^2 x \sqrt{c+d x}}-\frac{\sqrt{a+b x}}{2 a c x^2 \sqrt{c+d x}}","-\frac{3 \left(5 a^2 d^2+2 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{5/2} c^{7/2}}+\frac{d \sqrt{a+b x} (3 b c-5 a d) (3 a d+b c)}{4 a^2 c^3 \sqrt{c+d x} (b c-a d)}+\frac{\sqrt{a+b x} (5 a d+3 b c)}{4 a^2 c^2 x \sqrt{c+d x}}-\frac{\sqrt{a+b x}}{2 a c x^2 \sqrt{c+d x}}",1,"(d*(3*b*c - 5*a*d)*(b*c + 3*a*d)*Sqrt[a + b*x])/(4*a^2*c^3*(b*c - a*d)*Sqrt[c + d*x]) - Sqrt[a + b*x]/(2*a*c*x^2*Sqrt[c + d*x]) + ((3*b*c + 5*a*d)*Sqrt[a + b*x])/(4*a^2*c^2*x*Sqrt[c + d*x]) - (3*(b^2*c^2 + 2*a*b*c*d + 5*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(5/2)*c^(7/2))","A",6,6,22,0.2727,1,"{103, 151, 152, 12, 93, 208}"
748,1,258,0,0.2209166,"\int \frac{x^4}{\sqrt{a+b x} (c+d x)^{5/2}} \, dx","Int[x^4/(Sqrt[a + b*x]*(c + d*x)^(5/2)),x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-2 b d x \left(3 a^2 d^2-46 a b c d+35 b^2 c^2\right)+15 a^2 b c d^2+9 a^3 d^3-145 a b^2 c^2 d+105 b^3 c^3\right)}{12 b^2 d^4 (b c-a d)^2}+\frac{\left(3 a^2 d^2+10 a b c d+35 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{5/2} d^{9/2}}-\frac{2 c x^2 \sqrt{a+b x} (7 b c-9 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)^2}-\frac{2 c x^3 \sqrt{a+b x}}{3 d (c+d x)^{3/2} (b c-a d)}","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-2 b d x \left(3 a^2 d^2-46 a b c d+35 b^2 c^2\right)+15 a^2 b c d^2+9 a^3 d^3-145 a b^2 c^2 d+105 b^3 c^3\right)}{12 b^2 d^4 (b c-a d)^2}+\frac{\left(3 a^2 d^2+10 a b c d+35 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{5/2} d^{9/2}}-\frac{2 c x^2 \sqrt{a+b x} (7 b c-9 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)^2}-\frac{2 c x^3 \sqrt{a+b x}}{3 d (c+d x)^{3/2} (b c-a d)}",1,"(-2*c*x^3*Sqrt[a + b*x])/(3*d*(b*c - a*d)*(c + d*x)^(3/2)) - (2*c*(7*b*c - 9*a*d)*x^2*Sqrt[a + b*x])/(3*d^2*(b*c - a*d)^2*Sqrt[c + d*x]) - (Sqrt[a + b*x]*Sqrt[c + d*x]*(105*b^3*c^3 - 145*a*b^2*c^2*d + 15*a^2*b*c*d^2 + 9*a^3*d^3 - 2*b*d*(35*b^2*c^2 - 46*a*b*c*d + 3*a^2*d^2)*x))/(12*b^2*d^4*(b*c - a*d)^2) + ((35*b^2*c^2 + 10*a*b*c*d + 3*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(5/2)*d^(9/2))","A",6,6,22,0.2727,1,"{98, 150, 147, 63, 217, 206}"
749,1,174,0,0.1450011,"\int \frac{x^3}{\sqrt{a+b x} (c+d x)^{5/2}} \, dx","Int[x^3/(Sqrt[a + b*x]*(c + d*x)^(5/2)),x]","\frac{\sqrt{a+b x} \left(c \left(3 a^2 d^2-22 a b c d+15 b^2 c^2\right)+d x (5 b c-3 a d) (b c-a d)\right)}{3 b d^3 \sqrt{c+d x} (b c-a d)^2}-\frac{(a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2} d^{7/2}}-\frac{2 c x^2 \sqrt{a+b x}}{3 d (c+d x)^{3/2} (b c-a d)}","\frac{\sqrt{a+b x} \left(c \left(3 a^2 d^2-22 a b c d+15 b^2 c^2\right)+d x (5 b c-3 a d) (b c-a d)\right)}{3 b d^3 \sqrt{c+d x} (b c-a d)^2}-\frac{(a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2} d^{7/2}}-\frac{2 c x^2 \sqrt{a+b x}}{3 d (c+d x)^{3/2} (b c-a d)}",1,"(-2*c*x^2*Sqrt[a + b*x])/(3*d*(b*c - a*d)*(c + d*x)^(3/2)) + (Sqrt[a + b*x]*(c*(15*b^2*c^2 - 22*a*b*c*d + 3*a^2*d^2) + d*(5*b*c - 3*a*d)*(b*c - a*d)*x))/(3*b*d^3*(b*c - a*d)^2*Sqrt[c + d*x]) - ((5*b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(b^(3/2)*d^(7/2))","A",5,5,22,0.2273,1,"{98, 143, 63, 217, 206}"
750,1,126,0,0.0888877,"\int \frac{x^2}{\sqrt{a+b x} (c+d x)^{5/2}} \, dx","Int[x^2/(Sqrt[a + b*x]*(c + d*x)^(5/2)),x]","\frac{2 c^2 \sqrt{a+b x}}{3 d^2 (c+d x)^{3/2} (b c-a d)}-\frac{4 c \sqrt{a+b x} (2 b c-3 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)^2}+\frac{2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} d^{5/2}}","\frac{2 c^2 \sqrt{a+b x}}{3 d^2 (c+d x)^{3/2} (b c-a d)}-\frac{4 c \sqrt{a+b x} (2 b c-3 a d)}{3 d^2 \sqrt{c+d x} (b c-a d)^2}+\frac{2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} d^{5/2}}",1,"(2*c^2*Sqrt[a + b*x])/(3*d^2*(b*c - a*d)*(c + d*x)^(3/2)) - (4*c*(2*b*c - 3*a*d)*Sqrt[a + b*x])/(3*d^2*(b*c - a*d)^2*Sqrt[c + d*x]) + (2*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(Sqrt[b]*d^(5/2))","A",5,5,22,0.2273,1,"{89, 78, 63, 217, 206}"
751,1,80,0,0.0211434,"\int \frac{x}{\sqrt{a+b x} (c+d x)^{5/2}} \, dx","Int[x/(Sqrt[a + b*x]*(c + d*x)^(5/2)),x]","\frac{2 \sqrt{a+b x} (b c-3 a d)}{3 d \sqrt{c+d x} (b c-a d)^2}-\frac{2 c \sqrt{a+b x}}{3 d (c+d x)^{3/2} (b c-a d)}","\frac{2 \sqrt{a+b x} (b c-3 a d)}{3 d \sqrt{c+d x} (b c-a d)^2}-\frac{2 c \sqrt{a+b x}}{3 d (c+d x)^{3/2} (b c-a d)}",1,"(-2*c*Sqrt[a + b*x])/(3*d*(b*c - a*d)*(c + d*x)^(3/2)) + (2*(b*c - 3*a*d)*Sqrt[a + b*x])/(3*d*(b*c - a*d)^2*Sqrt[c + d*x])","A",2,2,20,0.1000,1,"{78, 37}"
752,1,66,0,0.0128482,"\int \frac{1}{\sqrt{a+b x} (c+d x)^{5/2}} \, dx","Int[1/(Sqrt[a + b*x]*(c + d*x)^(5/2)),x]","\frac{4 b \sqrt{a+b x}}{3 \sqrt{c+d x} (b c-a d)^2}+\frac{2 \sqrt{a+b x}}{3 (c+d x)^{3/2} (b c-a d)}","\frac{4 b \sqrt{a+b x}}{3 \sqrt{c+d x} (b c-a d)^2}+\frac{2 \sqrt{a+b x}}{3 (c+d x)^{3/2} (b c-a d)}",1,"(2*Sqrt[a + b*x])/(3*(b*c - a*d)*(c + d*x)^(3/2)) + (4*b*Sqrt[a + b*x])/(3*(b*c - a*d)^2*Sqrt[c + d*x])","A",2,2,19,0.1053,1,"{45, 37}"
753,1,124,0,0.0862209,"\int \frac{1}{x \sqrt{a+b x} (c+d x)^{5/2}} \, dx","Int[1/(x*Sqrt[a + b*x]*(c + d*x)^(5/2)),x]","-\frac{2 d \sqrt{a+b x} (5 b c-3 a d)}{3 c^2 \sqrt{c+d x} (b c-a d)^2}-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a} c^{5/2}}-\frac{2 d \sqrt{a+b x}}{3 c (c+d x)^{3/2} (b c-a d)}","-\frac{2 d \sqrt{a+b x} (5 b c-3 a d)}{3 c^2 \sqrt{c+d x} (b c-a d)^2}-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{\sqrt{a} c^{5/2}}-\frac{2 d \sqrt{a+b x}}{3 c (c+d x)^{3/2} (b c-a d)}",1,"(-2*d*Sqrt[a + b*x])/(3*c*(b*c - a*d)*(c + d*x)^(3/2)) - (2*d*(5*b*c - 3*a*d)*Sqrt[a + b*x])/(3*c^2*(b*c - a*d)^2*Sqrt[c + d*x]) - (2*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(Sqrt[a]*c^(5/2))","A",5,5,22,0.2273,1,"{104, 152, 12, 93, 208}"
754,1,189,0,0.1843671,"\int \frac{1}{x^2 \sqrt{a+b x} (c+d x)^{5/2}} \, dx","Int[1/(x^2*Sqrt[a + b*x]*(c + d*x)^(5/2)),x]","-\frac{d \sqrt{a+b x} \left(15 a^2 d^2-22 a b c d+3 b^2 c^2\right)}{3 a c^3 \sqrt{c+d x} (b c-a d)^2}+\frac{(5 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2} c^{7/2}}-\frac{d \sqrt{a+b x} (3 b c-5 a d)}{3 a c^2 (c+d x)^{3/2} (b c-a d)}-\frac{\sqrt{a+b x}}{a c x (c+d x)^{3/2}}","-\frac{d \sqrt{a+b x} \left(15 a^2 d^2-22 a b c d+3 b^2 c^2\right)}{3 a c^3 \sqrt{c+d x} (b c-a d)^2}+\frac{(5 a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2} c^{7/2}}-\frac{d \sqrt{a+b x} (3 b c-5 a d)}{3 a c^2 (c+d x)^{3/2} (b c-a d)}-\frac{\sqrt{a+b x}}{a c x (c+d x)^{3/2}}",1,"-(d*(3*b*c - 5*a*d)*Sqrt[a + b*x])/(3*a*c^2*(b*c - a*d)*(c + d*x)^(3/2)) - Sqrt[a + b*x]/(a*c*x*(c + d*x)^(3/2)) - (d*(3*b^2*c^2 - 22*a*b*c*d + 15*a^2*d^2)*Sqrt[a + b*x])/(3*a*c^3*(b*c - a*d)^2*Sqrt[c + d*x]) + ((b*c + 5*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(a^(3/2)*c^(7/2))","A",6,5,22,0.2273,1,"{103, 152, 12, 93, 208}"
755,1,277,0,0.2520113,"\int \frac{1}{x^3 \sqrt{a+b x} (c+d x)^{5/2}} \, dx","Int[1/(x^3*Sqrt[a + b*x]*(c + d*x)^(5/2)),x]","\frac{d \sqrt{a+b x} \left(-145 a^2 b c d^2+105 a^3 d^3+15 a b^2 c^2 d+9 b^3 c^3\right)}{12 a^2 c^4 \sqrt{c+d x} (b c-a d)^2}+\frac{d \sqrt{a+b x} \left(-35 a^2 d^2+18 a b c d+9 b^2 c^2\right)}{12 a^2 c^3 (c+d x)^{3/2} (b c-a d)}-\frac{\left(35 a^2 d^2+10 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{5/2} c^{9/2}}+\frac{\sqrt{a+b x} (7 a d+3 b c)}{4 a^2 c^2 x (c+d x)^{3/2}}-\frac{\sqrt{a+b x}}{2 a c x^2 (c+d x)^{3/2}}","\frac{d \sqrt{a+b x} \left(-145 a^2 b c d^2+105 a^3 d^3+15 a b^2 c^2 d+9 b^3 c^3\right)}{12 a^2 c^4 \sqrt{c+d x} (b c-a d)^2}+\frac{d \sqrt{a+b x} \left(-35 a^2 d^2+18 a b c d+9 b^2 c^2\right)}{12 a^2 c^3 (c+d x)^{3/2} (b c-a d)}-\frac{\left(35 a^2 d^2+10 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{5/2} c^{9/2}}+\frac{\sqrt{a+b x} (7 a d+3 b c)}{4 a^2 c^2 x (c+d x)^{3/2}}-\frac{\sqrt{a+b x}}{2 a c x^2 (c+d x)^{3/2}}",1,"(d*(9*b^2*c^2 + 18*a*b*c*d - 35*a^2*d^2)*Sqrt[a + b*x])/(12*a^2*c^3*(b*c - a*d)*(c + d*x)^(3/2)) - Sqrt[a + b*x]/(2*a*c*x^2*(c + d*x)^(3/2)) + ((3*b*c + 7*a*d)*Sqrt[a + b*x])/(4*a^2*c^2*x*(c + d*x)^(3/2)) + (d*(9*b^3*c^3 + 15*a*b^2*c^2*d - 145*a^2*b*c*d^2 + 105*a^3*d^3)*Sqrt[a + b*x])/(12*a^2*c^4*(b*c - a*d)^2*Sqrt[c + d*x]) - ((3*b^2*c^2 + 10*a*b*c*d + 35*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(5/2)*c^(9/2))","A",7,6,22,0.2727,1,"{103, 151, 152, 12, 93, 208}"
756,1,21,0,0.0047832,"\int \frac{1}{x \sqrt{c x} \sqrt{a+b x}} \, dx","Int[1/(x*Sqrt[c*x]*Sqrt[a + b*x]),x]","-\frac{2 \sqrt{a+b x}}{a \sqrt{c x}}","-\frac{2 \sqrt{a+b x}}{a \sqrt{c x}}",1,"(-2*Sqrt[a + b*x])/(a*Sqrt[c*x])","A",2,2,20,0.1000,1,"{16, 37}"
757,1,42,0,0.0202499,"\int \frac{1}{x \sqrt{a+b x} \sqrt{a c-b c x}} \, dx","Int[1/(x*Sqrt[a + b*x]*Sqrt[a*c - b*c*x]),x]","-\frac{\tanh ^{-1}\left(\frac{\sqrt{a+b x} \sqrt{a c-b c x}}{a \sqrt{c}}\right)}{a \sqrt{c}}","-\frac{\tanh ^{-1}\left(\frac{\sqrt{a+b x} \sqrt{a c-b c x}}{a \sqrt{c}}\right)}{a \sqrt{c}}",1,"-(ArcTanh[(Sqrt[a + b*x]*Sqrt[a*c - b*c*x])/(a*Sqrt[c])]/(a*Sqrt[c]))","A",2,2,26,0.07692,1,"{92, 208}"
758,1,54,0,0.0358068,"\int \frac{1}{x \sqrt{1-a-b x} \sqrt{1+a+b x}} \, dx","Int[1/(x*Sqrt[1 - a - b*x]*Sqrt[1 + a + b*x]),x]","-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{1-a} \sqrt{a+b x+1}}{\sqrt{a+1} \sqrt{-a-b x+1}}\right)}{\sqrt{1-a^2}}","-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{1-a} \sqrt{a+b x+1}}{\sqrt{a+1} \sqrt{-a-b x+1}}\right)}{\sqrt{1-a^2}}",1,"(-2*ArcTanh[(Sqrt[1 - a]*Sqrt[1 + a + b*x])/(Sqrt[1 + a]*Sqrt[1 - a - b*x])])/Sqrt[1 - a^2]","A",2,2,27,0.07407,1,"{93, 208}"
759,1,271,0,0.2081527,"\int \frac{x^3 (c+d x)^{3/2}}{(a+b x)^{3/2}} \, dx","Int[(x^3*(c + d*x)^(3/2))/(a + b*x)^(3/2),x]","-\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(-105 a^2 d^2-4 b d x (b c-21 a d)+14 a b c d+3 b^2 c^2\right)}{32 b^4 d^2}+\frac{3 \sqrt{a+b x} \sqrt{c+d x} \left(35 a^2 b c d^2-105 a^3 d^3+5 a b^2 c^2 d+b^3 c^3\right)}{64 b^5 d^2}+\frac{3 (b c-a d) \left(35 a^2 b c d^2-105 a^3 d^3+5 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{11/2} d^{5/2}}+\frac{9 x^2 \sqrt{a+b x} (c+d x)^{3/2}}{4 b^2}-\frac{2 x^3 (c+d x)^{3/2}}{b \sqrt{a+b x}}","-\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(-105 a^2 d^2-4 b d x (b c-21 a d)+14 a b c d+3 b^2 c^2\right)}{32 b^4 d^2}+\frac{3 \sqrt{a+b x} \sqrt{c+d x} \left(35 a^2 b c d^2-105 a^3 d^3+5 a b^2 c^2 d+b^3 c^3\right)}{64 b^5 d^2}+\frac{3 (b c-a d) \left(35 a^2 b c d^2-105 a^3 d^3+5 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{11/2} d^{5/2}}+\frac{9 x^2 \sqrt{a+b x} (c+d x)^{3/2}}{4 b^2}-\frac{2 x^3 (c+d x)^{3/2}}{b \sqrt{a+b x}}",1,"(3*(b^3*c^3 + 5*a*b^2*c^2*d + 35*a^2*b*c*d^2 - 105*a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b^5*d^2) - (2*x^3*(c + d*x)^(3/2))/(b*Sqrt[a + b*x]) + (9*x^2*Sqrt[a + b*x]*(c + d*x)^(3/2))/(4*b^2) - (Sqrt[a + b*x]*(c + d*x)^(3/2)*(3*b^2*c^2 + 14*a*b*c*d - 105*a^2*d^2 - 4*b*d*(b*c - 21*a*d)*x))/(32*b^4*d^2) + (3*(b*c - a*d)*(b^3*c^3 + 5*a*b^2*c^2*d + 35*a^2*b*c*d^2 - 105*a^3*d^3)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(11/2)*d^(5/2))","A",7,7,22,0.3182,1,"{97, 153, 147, 50, 63, 217, 206}"
760,1,246,0,0.26803,"\int \frac{x^2 (c+d x)^{3/2}}{(a+b x)^{3/2}} \, dx","Int[(x^2*(c + d*x)^(3/2))/(a + b*x)^(3/2),x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-35 a^2 d^2+10 a b c d+b^2 c^2\right)}{8 b^4 d}-\frac{(b c-a d) \left(-35 a^2 d^2+10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{9/2} d^{3/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(-\frac{35 a^2 d}{b}+10 a c+\frac{b c^2}{d}\right)}{12 b^2 (b c-a d)}-\frac{2 a^2 (c+d x)^{5/2}}{b^2 \sqrt{a+b x} (b c-a d)}+\frac{\sqrt{a+b x} (c+d x)^{5/2}}{3 b^2 d}","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-35 a^2 d^2+10 a b c d+b^2 c^2\right)}{8 b^4 d}-\frac{(b c-a d) \left(-35 a^2 d^2+10 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{9/2} d^{3/2}}-\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(-\frac{35 a^2 d}{b}+10 a c+\frac{b c^2}{d}\right)}{12 b^2 (b c-a d)}-\frac{2 a^2 (c+d x)^{5/2}}{b^2 \sqrt{a+b x} (b c-a d)}+\frac{\sqrt{a+b x} (c+d x)^{5/2}}{3 b^2 d}",1,"-((b^2*c^2 + 10*a*b*c*d - 35*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*b^4*d) - ((10*a*c + (b*c^2)/d - (35*a^2*d)/b)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(12*b^2*(b*c - a*d)) - (2*a^2*(c + d*x)^(5/2))/(b^2*(b*c - a*d)*Sqrt[a + b*x]) + (Sqrt[a + b*x]*(c + d*x)^(5/2))/(3*b^2*d) - ((b*c - a*d)*(b^2*c^2 + 10*a*b*c*d - 35*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(9/2)*d^(3/2))","A",7,6,22,0.2727,1,"{89, 80, 50, 63, 217, 206}"
761,1,171,0,0.0922948,"\int \frac{x (c+d x)^{3/2}}{(a+b x)^{3/2}} \, dx","Int[(x*(c + d*x)^(3/2))/(a + b*x)^(3/2),x]","\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-5 a d)}{2 b^2 (b c-a d)}+\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-5 a d)}{4 b^3}+\frac{3 (b c-5 a d) (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{7/2} \sqrt{d}}+\frac{2 a (c+d x)^{5/2}}{b \sqrt{a+b x} (b c-a d)}","\frac{\sqrt{a+b x} (c+d x)^{3/2} (b c-5 a d)}{2 b^2 (b c-a d)}+\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-5 a d)}{4 b^3}+\frac{3 (b c-5 a d) (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{7/2} \sqrt{d}}+\frac{2 a (c+d x)^{5/2}}{b \sqrt{a+b x} (b c-a d)}",1,"(3*(b*c - 5*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*b^3) + ((b*c - 5*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(2*b^2*(b*c - a*d)) + (2*a*(c + d*x)^(5/2))/(b*(b*c - a*d)*Sqrt[a + b*x]) + (3*(b*c - 5*a*d)*(b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(7/2)*Sqrt[d])","A",6,5,20,0.2500,1,"{78, 50, 63, 217, 206}"
762,1,98,0,0.0478111,"\int \frac{(c+d x)^{3/2}}{(a+b x)^{3/2}} \, dx","Int[(c + d*x)^(3/2)/(a + b*x)^(3/2),x]","\frac{3 d \sqrt{a+b x} \sqrt{c+d x}}{b^2}+\frac{3 \sqrt{d} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{5/2}}-\frac{2 (c+d x)^{3/2}}{b \sqrt{a+b x}}","\frac{3 d \sqrt{a+b x} \sqrt{c+d x}}{b^2}+\frac{3 \sqrt{d} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{5/2}}-\frac{2 (c+d x)^{3/2}}{b \sqrt{a+b x}}",1,"(3*d*Sqrt[a + b*x]*Sqrt[c + d*x])/b^2 - (2*(c + d*x)^(3/2))/(b*Sqrt[a + b*x]) + (3*Sqrt[d]*(b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/b^(5/2)","A",5,5,19,0.2632,1,"{47, 50, 63, 217, 206}"
763,1,119,0,0.067593,"\int \frac{(c+d x)^{3/2}}{x (a+b x)^{3/2}} \, dx","Int[(c + d*x)^(3/2)/(x*(a + b*x)^(3/2)),x]","-\frac{2 c^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2}}+\frac{2 d^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2}}+\frac{2 \sqrt{c+d x} (b c-a d)}{a b \sqrt{a+b x}}","-\frac{2 c^{3/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2}}+\frac{2 d^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2}}+\frac{2 \sqrt{c+d x} (b c-a d)}{a b \sqrt{a+b x}}",1,"(2*(b*c - a*d)*Sqrt[c + d*x])/(a*b*Sqrt[a + b*x]) - (2*c^(3/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/a^(3/2) + (2*d^(3/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/b^(3/2)","A",7,7,22,0.3182,1,"{98, 157, 63, 217, 206, 93, 208}"
764,1,108,0,0.0402751,"\int \frac{(c+d x)^{3/2}}{x^2 (a+b x)^{3/2}} \, dx","Int[(c + d*x)^(3/2)/(x^2*(a + b*x)^(3/2)),x]","-\frac{3 \sqrt{c+d x} (b c-a d)}{a^2 \sqrt{a+b x}}+\frac{3 \sqrt{c} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{5/2}}-\frac{(c+d x)^{3/2}}{a x \sqrt{a+b x}}","-\frac{3 \sqrt{c+d x} (b c-a d)}{a^2 \sqrt{a+b x}}+\frac{3 \sqrt{c} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{5/2}}-\frac{(c+d x)^{3/2}}{a x \sqrt{a+b x}}",1,"(-3*(b*c - a*d)*Sqrt[c + d*x])/(a^2*Sqrt[a + b*x]) - (c + d*x)^(3/2)/(a*x*Sqrt[a + b*x]) + (3*Sqrt[c]*(b*c - a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/a^(5/2)","A",4,3,22,0.1364,1,"{94, 93, 208}"
765,1,178,0,0.0763655,"\int \frac{(c+d x)^{3/2}}{x^3 (a+b x)^{3/2}} \, dx","Int[(c + d*x)^(3/2)/(x^3*(a + b*x)^(3/2)),x]","\frac{(c+d x)^{3/2} (5 b c-a d)}{4 a^2 c x \sqrt{a+b x}}+\frac{3 \sqrt{c+d x} (b c-a d) (5 b c-a d)}{4 a^3 c \sqrt{a+b x}}-\frac{3 (b c-a d) (5 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{7/2} \sqrt{c}}-\frac{(c+d x)^{5/2}}{2 a c x^2 \sqrt{a+b x}}","\frac{(c+d x)^{3/2} (5 b c-a d)}{4 a^2 c x \sqrt{a+b x}}+\frac{3 \sqrt{c+d x} (b c-a d) (5 b c-a d)}{4 a^3 c \sqrt{a+b x}}-\frac{3 (b c-a d) (5 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{7/2} \sqrt{c}}-\frac{(c+d x)^{5/2}}{2 a c x^2 \sqrt{a+b x}}",1,"(3*(b*c - a*d)*(5*b*c - a*d)*Sqrt[c + d*x])/(4*a^3*c*Sqrt[a + b*x]) + ((5*b*c - a*d)*(c + d*x)^(3/2))/(4*a^2*c*x*Sqrt[a + b*x]) - (c + d*x)^(5/2)/(2*a*c*x^2*Sqrt[a + b*x]) - (3*(b*c - a*d)*(5*b*c - a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(7/2)*Sqrt[c])","A",5,4,22,0.1818,1,"{96, 94, 93, 208}"
766,1,241,0,0.232663,"\int \frac{(c+d x)^{3/2}}{x^4 (a+b x)^{3/2}} \, dx","Int[(c + d*x)^(3/2)/(x^4*(a + b*x)^(3/2)),x]","-\frac{b \sqrt{c+d x} \left(3 a^2 d^2-100 a b c d+105 b^2 c^2\right)}{24 a^4 c \sqrt{a+b x}}+\frac{(b c-a d) \left(-a^2 d^2-10 a b c d+35 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{9/2} c^{3/2}}+\frac{7 \sqrt{c+d x} (b c-a d)}{12 a^2 x^2 \sqrt{a+b x}}-\frac{\sqrt{c+d x} (35 b c-3 a d) (b c-a d)}{24 a^3 c x \sqrt{a+b x}}-\frac{c \sqrt{c+d x}}{3 a x^3 \sqrt{a+b x}}","-\frac{b \sqrt{c+d x} \left(3 a^2 d^2-100 a b c d+105 b^2 c^2\right)}{24 a^4 c \sqrt{a+b x}}+\frac{(b c-a d) \left(-a^2 d^2-10 a b c d+35 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{9/2} c^{3/2}}+\frac{7 \sqrt{c+d x} (b c-a d)}{12 a^2 x^2 \sqrt{a+b x}}-\frac{\sqrt{c+d x} (35 b c-3 a d) (b c-a d)}{24 a^3 c x \sqrt{a+b x}}-\frac{c \sqrt{c+d x}}{3 a x^3 \sqrt{a+b x}}",1,"-(b*(105*b^2*c^2 - 100*a*b*c*d + 3*a^2*d^2)*Sqrt[c + d*x])/(24*a^4*c*Sqrt[a + b*x]) - (c*Sqrt[c + d*x])/(3*a*x^3*Sqrt[a + b*x]) + (7*(b*c - a*d)*Sqrt[c + d*x])/(12*a^2*x^2*Sqrt[a + b*x]) - ((35*b*c - 3*a*d)*(b*c - a*d)*Sqrt[c + d*x])/(24*a^3*c*x*Sqrt[a + b*x]) + ((b*c - a*d)*(35*b^2*c^2 - 10*a*b*c*d - a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(9/2)*c^(3/2))","A",7,6,22,0.2727,1,"{98, 151, 152, 12, 93, 208}"
767,1,346,0,0.2969875,"\int \frac{x^3 (c+d x)^{5/2}}{(a+b x)^{3/2}} \, dx","Int[(x^3*(c + d*x)^(5/2))/(a + b*x)^(3/2),x]","\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(63 a^2 b c d^2-231 a^3 d^3+7 a b^2 c^2 d+b^3 c^3\right)}{64 b^5 d^2}-\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(-231 a^2 d^2-2 b d x (5 b c-99 a d)+30 a b c d+5 b^2 c^2\right)}{80 b^4 d^2}+\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d) \left(63 a^2 b c d^2-231 a^3 d^3+7 a b^2 c^2 d+b^3 c^3\right)}{128 b^6 d^2}+\frac{3 (b c-a d)^2 \left(63 a^2 b c d^2-231 a^3 d^3+7 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{13/2} d^{5/2}}+\frac{11 x^2 \sqrt{a+b x} (c+d x)^{5/2}}{5 b^2}-\frac{2 x^3 (c+d x)^{5/2}}{b \sqrt{a+b x}}","\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(63 a^2 b c d^2-231 a^3 d^3+7 a b^2 c^2 d+b^3 c^3\right)}{64 b^5 d^2}-\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(-231 a^2 d^2-2 b d x (5 b c-99 a d)+30 a b c d+5 b^2 c^2\right)}{80 b^4 d^2}+\frac{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d) \left(63 a^2 b c d^2-231 a^3 d^3+7 a b^2 c^2 d+b^3 c^3\right)}{128 b^6 d^2}+\frac{3 (b c-a d)^2 \left(63 a^2 b c d^2-231 a^3 d^3+7 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{13/2} d^{5/2}}+\frac{11 x^2 \sqrt{a+b x} (c+d x)^{5/2}}{5 b^2}-\frac{2 x^3 (c+d x)^{5/2}}{b \sqrt{a+b x}}",1,"(3*(b*c - a*d)*(b^3*c^3 + 7*a*b^2*c^2*d + 63*a^2*b*c*d^2 - 231*a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*b^6*d^2) + ((b^3*c^3 + 7*a*b^2*c^2*d + 63*a^2*b*c*d^2 - 231*a^3*d^3)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(64*b^5*d^2) - (2*x^3*(c + d*x)^(5/2))/(b*Sqrt[a + b*x]) + (11*x^2*Sqrt[a + b*x]*(c + d*x)^(5/2))/(5*b^2) - (Sqrt[a + b*x]*(c + d*x)^(5/2)*(5*b^2*c^2 + 30*a*b*c*d - 231*a^2*d^2 - 2*b*d*(5*b*c - 99*a*d)*x))/(80*b^4*d^2) + (3*(b*c - a*d)^2*(b^3*c^3 + 7*a*b^2*c^2*d + 63*a^2*b*c*d^2 - 231*a^3*d^3)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(128*b^(13/2)*d^(5/2))","A",8,7,22,0.3182,1,"{97, 153, 147, 50, 63, 217, 206}"
768,1,306,0,0.3335209,"\int \frac{x^2 (c+d x)^{5/2}}{(a+b x)^{3/2}} \, dx","Int[(x^2*(c + d*x)^(5/2))/(a + b*x)^(3/2),x]","-\frac{5 \sqrt{a+b x} (c+d x)^{3/2} \left(-63 a^2 d^2+14 a b c d+b^2 c^2\right)}{96 b^4 d}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d) \left(-63 a^2 d^2+14 a b c d+b^2 c^2\right)}{64 b^5 d}-\frac{5 (b c-a d)^2 \left(-63 a^2 d^2+14 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{11/2} d^{3/2}}-\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(-\frac{63 a^2 d}{b}+14 a c+\frac{b c^2}{d}\right)}{24 b^2 (b c-a d)}-\frac{2 a^2 (c+d x)^{7/2}}{b^2 \sqrt{a+b x} (b c-a d)}+\frac{\sqrt{a+b x} (c+d x)^{7/2}}{4 b^2 d}","-\frac{5 \sqrt{a+b x} (c+d x)^{3/2} \left(-63 a^2 d^2+14 a b c d+b^2 c^2\right)}{96 b^4 d}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-a d) \left(-63 a^2 d^2+14 a b c d+b^2 c^2\right)}{64 b^5 d}-\frac{5 (b c-a d)^2 \left(-63 a^2 d^2+14 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{11/2} d^{3/2}}-\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(-\frac{63 a^2 d}{b}+14 a c+\frac{b c^2}{d}\right)}{24 b^2 (b c-a d)}-\frac{2 a^2 (c+d x)^{7/2}}{b^2 \sqrt{a+b x} (b c-a d)}+\frac{\sqrt{a+b x} (c+d x)^{7/2}}{4 b^2 d}",1,"(-5*(b*c - a*d)*(b^2*c^2 + 14*a*b*c*d - 63*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b^5*d) - (5*(b^2*c^2 + 14*a*b*c*d - 63*a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(96*b^4*d) - ((14*a*c + (b*c^2)/d - (63*a^2*d)/b)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(24*b^2*(b*c - a*d)) - (2*a^2*(c + d*x)^(7/2))/(b^2*(b*c - a*d)*Sqrt[a + b*x]) + (Sqrt[a + b*x]*(c + d*x)^(7/2))/(4*b^2*d) - (5*(b*c - a*d)^2*(b^2*c^2 + 14*a*b*c*d - 63*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(11/2)*d^(3/2))","A",8,6,22,0.2727,1,"{89, 80, 50, 63, 217, 206}"
769,1,214,0,0.1150448,"\int \frac{x (c+d x)^{5/2}}{(a+b x)^{3/2}} \, dx","Int[(x*(c + d*x)^(5/2))/(a + b*x)^(3/2),x]","\frac{\sqrt{a+b x} (c+d x)^{5/2} (b c-7 a d)}{3 b^2 (b c-a d)}+\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-7 a d)}{12 b^3}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-7 a d) (b c-a d)}{8 b^4}+\frac{5 (b c-7 a d) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{9/2} \sqrt{d}}+\frac{2 a (c+d x)^{7/2}}{b \sqrt{a+b x} (b c-a d)}","\frac{\sqrt{a+b x} (c+d x)^{5/2} (b c-7 a d)}{3 b^2 (b c-a d)}+\frac{5 \sqrt{a+b x} (c+d x)^{3/2} (b c-7 a d)}{12 b^3}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} (b c-7 a d) (b c-a d)}{8 b^4}+\frac{5 (b c-7 a d) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{9/2} \sqrt{d}}+\frac{2 a (c+d x)^{7/2}}{b \sqrt{a+b x} (b c-a d)}",1,"(5*(b*c - 7*a*d)*(b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*b^4) + (5*(b*c - 7*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(12*b^3) + ((b*c - 7*a*d)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(3*b^2*(b*c - a*d)) + (2*a*(c + d*x)^(7/2))/(b*(b*c - a*d)*Sqrt[a + b*x]) + (5*(b*c - 7*a*d)*(b*c - a*d)^2*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(9/2)*Sqrt[d])","A",7,5,20,0.2500,1,"{78, 50, 63, 217, 206}"
770,1,138,0,0.0672786,"\int \frac{(c+d x)^{5/2}}{(a+b x)^{3/2}} \, dx","Int[(c + d*x)^(5/2)/(a + b*x)^(3/2),x]","\frac{5 d \sqrt{a+b x} (c+d x)^{3/2}}{2 b^2}+\frac{15 d \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 b^3}+\frac{15 \sqrt{d} (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{7/2}}-\frac{2 (c+d x)^{5/2}}{b \sqrt{a+b x}}","\frac{5 d \sqrt{a+b x} (c+d x)^{3/2}}{2 b^2}+\frac{15 d \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}{4 b^3}+\frac{15 \sqrt{d} (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{7/2}}-\frac{2 (c+d x)^{5/2}}{b \sqrt{a+b x}}",1,"(15*d*(b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*b^3) + (5*d*Sqrt[a + b*x]*(c + d*x)^(3/2))/(2*b^2) - (2*(c + d*x)^(5/2))/(b*Sqrt[a + b*x]) + (15*Sqrt[d]*(b*c - a*d)^2*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(7/2))","A",6,5,19,0.2632,1,"{47, 50, 63, 217, 206}"
771,1,163,0,0.1452193,"\int \frac{(c+d x)^{5/2}}{x (a+b x)^{3/2}} \, dx","Int[(c + d*x)^(5/2)/(x*(a + b*x)^(3/2)),x]","-\frac{2 c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2}}+\frac{d^{3/2} (5 b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{5/2}}-\frac{d \sqrt{a+b x} \sqrt{c+d x} (2 b c-3 a d)}{a b^2}+\frac{2 (c+d x)^{3/2} (b c-a d)}{a b \sqrt{a+b x}}","-\frac{2 c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2}}+\frac{d^{3/2} (5 b c-3 a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{5/2}}-\frac{d \sqrt{a+b x} \sqrt{c+d x} (2 b c-3 a d)}{a b^2}+\frac{2 (c+d x)^{3/2} (b c-a d)}{a b \sqrt{a+b x}}",1,"-((d*(2*b*c - 3*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(a*b^2)) + (2*(b*c - a*d)*(c + d*x)^(3/2))/(a*b*Sqrt[a + b*x]) - (2*c^(5/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/a^(3/2) + (d^(3/2)*(5*b*c - 3*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/b^(5/2)","A",8,8,22,0.3636,1,"{98, 154, 157, 63, 217, 206, 93, 208}"
772,1,163,0,0.1539114,"\int \frac{(c+d x)^{5/2}}{x^2 (a+b x)^{3/2}} \, dx","Int[(c + d*x)^(5/2)/(x^2*(a + b*x)^(3/2)),x]","\frac{c^{3/2} (3 b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{5/2}}-\frac{\sqrt{c+d x} (3 b c-2 a d) (b c-a d)}{a^2 b \sqrt{a+b x}}+\frac{2 d^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2}}-\frac{c (c+d x)^{3/2}}{a x \sqrt{a+b x}}","\frac{c^{3/2} (3 b c-5 a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{5/2}}-\frac{\sqrt{c+d x} (3 b c-2 a d) (b c-a d)}{a^2 b \sqrt{a+b x}}+\frac{2 d^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2}}-\frac{c (c+d x)^{3/2}}{a x \sqrt{a+b x}}",1,"-(((3*b*c - 2*a*d)*(b*c - a*d)*Sqrt[c + d*x])/(a^2*b*Sqrt[a + b*x])) - (c*(c + d*x)^(3/2))/(a*x*Sqrt[a + b*x]) + (c^(3/2)*(3*b*c - 5*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/a^(5/2) + (2*d^(5/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/b^(3/2)","A",8,8,22,0.3636,1,"{98, 150, 157, 63, 217, 206, 93, 208}"
773,1,154,0,0.0741547,"\int \frac{(c+d x)^{5/2}}{x^3 (a+b x)^{3/2}} \, dx","Int[(c + d*x)^(5/2)/(x^3*(a + b*x)^(3/2)),x]","\frac{5 (c+d x)^{3/2} (b c-a d)}{4 a^2 x \sqrt{a+b x}}+\frac{15 \sqrt{c+d x} (b c-a d)^2}{4 a^3 \sqrt{a+b x}}-\frac{15 \sqrt{c} (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{7/2}}-\frac{(c+d x)^{5/2}}{2 a x^2 \sqrt{a+b x}}","\frac{5 (c+d x)^{3/2} (b c-a d)}{4 a^2 x \sqrt{a+b x}}+\frac{15 \sqrt{c+d x} (b c-a d)^2}{4 a^3 \sqrt{a+b x}}-\frac{15 \sqrt{c} (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{7/2}}-\frac{(c+d x)^{5/2}}{2 a x^2 \sqrt{a+b x}}",1,"(15*(b*c - a*d)^2*Sqrt[c + d*x])/(4*a^3*Sqrt[a + b*x]) + (5*(b*c - a*d)*(c + d*x)^(3/2))/(4*a^2*x*Sqrt[a + b*x]) - (c + d*x)^(5/2)/(2*a*x^2*Sqrt[a + b*x]) - (15*Sqrt[c]*(b*c - a*d)^2*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(7/2))","A",5,3,22,0.1364,1,"{94, 93, 208}"
774,1,230,0,0.1133872,"\int \frac{(c+d x)^{5/2}}{x^4 (a+b x)^{3/2}} \, dx","Int[(c + d*x)^(5/2)/(x^4*(a + b*x)^(3/2)),x]","\frac{(c+d x)^{5/2} (7 b c-a d)}{12 a^2 c x^2 \sqrt{a+b x}}-\frac{5 (c+d x)^{3/2} (b c-a d) (7 b c-a d)}{24 a^3 c x \sqrt{a+b x}}-\frac{5 \sqrt{c+d x} (b c-a d)^2 (7 b c-a d)}{8 a^4 c \sqrt{a+b x}}+\frac{5 (b c-a d)^2 (7 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{9/2} \sqrt{c}}-\frac{(c+d x)^{7/2}}{3 a c x^3 \sqrt{a+b x}}","\frac{(c+d x)^{5/2} (7 b c-a d)}{12 a^2 c x^2 \sqrt{a+b x}}-\frac{5 (c+d x)^{3/2} (b c-a d) (7 b c-a d)}{24 a^3 c x \sqrt{a+b x}}-\frac{5 \sqrt{c+d x} (b c-a d)^2 (7 b c-a d)}{8 a^4 c \sqrt{a+b x}}+\frac{5 (b c-a d)^2 (7 b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{9/2} \sqrt{c}}-\frac{(c+d x)^{7/2}}{3 a c x^3 \sqrt{a+b x}}",1,"(-5*(b*c - a*d)^2*(7*b*c - a*d)*Sqrt[c + d*x])/(8*a^4*c*Sqrt[a + b*x]) - (5*(b*c - a*d)*(7*b*c - a*d)*(c + d*x)^(3/2))/(24*a^3*c*x*Sqrt[a + b*x]) + ((7*b*c - a*d)*(c + d*x)^(5/2))/(12*a^2*c*x^2*Sqrt[a + b*x]) - (c + d*x)^(7/2)/(3*a*c*x^3*Sqrt[a + b*x]) + (5*(b*c - a*d)^2*(7*b*c - a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(9/2)*Sqrt[c])","A",6,4,22,0.1818,1,"{96, 94, 93, 208}"
775,1,318,0,0.3593689,"\int \frac{(c+d x)^{5/2}}{x^5 (a+b x)^{3/2}} \, dx","Int[(c + d*x)^(5/2)/(x^5*(a + b*x)^(3/2)),x]","\frac{\sqrt{c+d x} \left(15 a^2 d^2-322 a b c d+315 b^2 c^2\right) (b c-a d)}{192 a^4 c x \sqrt{a+b x}}+\frac{b \sqrt{c+d x} \left(839 a^2 b c d^2-15 a^3 d^3-1785 a b^2 c^2 d+945 b^3 c^3\right)}{192 a^5 c \sqrt{a+b x}}-\frac{5 \left(-a^2 d^2-14 a b c d+63 b^2 c^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{11/2} c^{3/2}}-\frac{\sqrt{c+d x} (63 b c-59 a d) (b c-a d)}{96 a^3 x^2 \sqrt{a+b x}}+\frac{c \sqrt{c+d x} (9 b c-11 a d)}{24 a^2 x^3 \sqrt{a+b x}}-\frac{c (c+d x)^{3/2}}{4 a x^4 \sqrt{a+b x}}","\frac{\sqrt{c+d x} \left(15 a^2 d^2-322 a b c d+315 b^2 c^2\right) (b c-a d)}{192 a^4 c x \sqrt{a+b x}}+\frac{b \sqrt{c+d x} \left(839 a^2 b c d^2-15 a^3 d^3-1785 a b^2 c^2 d+945 b^3 c^3\right)}{192 a^5 c \sqrt{a+b x}}-\frac{5 \left(-a^2 d^2-14 a b c d+63 b^2 c^2\right) (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{11/2} c^{3/2}}-\frac{\sqrt{c+d x} (63 b c-59 a d) (b c-a d)}{96 a^3 x^2 \sqrt{a+b x}}+\frac{c \sqrt{c+d x} (9 b c-11 a d)}{24 a^2 x^3 \sqrt{a+b x}}-\frac{c (c+d x)^{3/2}}{4 a x^4 \sqrt{a+b x}}",1,"(b*(945*b^3*c^3 - 1785*a*b^2*c^2*d + 839*a^2*b*c*d^2 - 15*a^3*d^3)*Sqrt[c + d*x])/(192*a^5*c*Sqrt[a + b*x]) + (c*(9*b*c - 11*a*d)*Sqrt[c + d*x])/(24*a^2*x^3*Sqrt[a + b*x]) - ((63*b*c - 59*a*d)*(b*c - a*d)*Sqrt[c + d*x])/(96*a^3*x^2*Sqrt[a + b*x]) + ((b*c - a*d)*(315*b^2*c^2 - 322*a*b*c*d + 15*a^2*d^2)*Sqrt[c + d*x])/(192*a^4*c*x*Sqrt[a + b*x]) - (c*(c + d*x)^(3/2))/(4*a*x^4*Sqrt[a + b*x]) - (5*(b*c - a*d)^2*(63*b^2*c^2 - 14*a*b*c*d - a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(11/2)*c^(3/2))","A",8,7,22,0.3182,1,"{98, 149, 151, 152, 12, 93, 208}"
776,1,250,0,0.216225,"\int \frac{x^4}{(a+b x)^{3/2} (c+d x)^{3/2}} \, dx","Int[x^4/((a + b*x)^(3/2)*(c + d*x)^(3/2)),x]","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left((a d+b c) \left(15 a^2 d^2-22 a b c d+15 b^2 c^2\right)-2 b d x \left(5 a^2 d^2-2 a b c d+5 b^2 c^2\right)\right)}{4 b^3 d^3 (b c-a d)^2}+\frac{3 \left(5 a^2 d^2+6 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{7/2} d^{7/2}}+\frac{2 a x^3}{b \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}-\frac{2 c x^2 \sqrt{a+b x} (a d+b c)}{b d \sqrt{c+d x} (b c-a d)^2}","-\frac{\sqrt{a+b x} \sqrt{c+d x} \left((a d+b c) \left(15 a^2 d^2-22 a b c d+15 b^2 c^2\right)-2 b d x \left(5 a^2 d^2-2 a b c d+5 b^2 c^2\right)\right)}{4 b^3 d^3 (b c-a d)^2}+\frac{3 \left(5 a^2 d^2+6 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{7/2} d^{7/2}}+\frac{2 a x^3}{b \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}-\frac{2 c x^2 \sqrt{a+b x} (a d+b c)}{b d \sqrt{c+d x} (b c-a d)^2}",1,"(2*a*x^3)/(b*(b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x]) - (2*c*(b*c + a*d)*x^2*Sqrt[a + b*x])/(b*d*(b*c - a*d)^2*Sqrt[c + d*x]) - (Sqrt[a + b*x]*Sqrt[c + d*x]*((b*c + a*d)*(15*b^2*c^2 - 22*a*b*c*d + 15*a^2*d^2) - 2*b*d*(5*b^2*c^2 - 2*a*b*c*d + 5*a^2*d^2)*x))/(4*b^3*d^3*(b*c - a*d)^2) + (3*(5*b^2*c^2 + 6*a*b*c*d + 5*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(7/2)*d^(7/2))","A",6,6,22,0.2727,1,"{98, 150, 147, 63, 217, 206}"
777,1,167,0,0.1295456,"\int \frac{x^3}{(a+b x)^{3/2} (c+d x)^{3/2}} \, dx","Int[x^3/((a + b*x)^(3/2)*(c + d*x)^(3/2)),x]","\frac{\sqrt{a+b x} \left(c \left(3 a^2 d^2-2 a b c d+3 b^2 c^2\right)+d x (b c-3 a d) (b c-a d)\right)}{b^2 d^2 \sqrt{c+d x} (b c-a d)^2}-\frac{3 (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{5/2} d^{5/2}}+\frac{2 a x^2}{b \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}","\frac{\sqrt{a+b x} \left(c \left(3 a^2 d^2-2 a b c d+3 b^2 c^2\right)+d x (b c-3 a d) (b c-a d)\right)}{b^2 d^2 \sqrt{c+d x} (b c-a d)^2}-\frac{3 (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{5/2} d^{5/2}}+\frac{2 a x^2}{b \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}",1,"(2*a*x^2)/(b*(b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x]) + (Sqrt[a + b*x]*(c*(3*b^2*c^2 - 2*a*b*c*d + 3*a^2*d^2) + d*(b*c - 3*a*d)*(b*c - a*d)*x))/(b^2*d^2*(b*c - a*d)^2*Sqrt[c + d*x]) - (3*(b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(b^(5/2)*d^(5/2))","A",5,5,22,0.2273,1,"{98, 143, 63, 217, 206}"
778,1,130,0,0.0874899,"\int \frac{x^2}{(a+b x)^{3/2} (c+d x)^{3/2}} \, dx","Int[x^2/((a + b*x)^(3/2)*(c + d*x)^(3/2)),x]","-\frac{2 \sqrt{a+b x} \left(a^2 d^2+b^2 c^2\right)}{b^2 d \sqrt{c+d x} (b c-a d)^2}-\frac{2 a^2}{b^2 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}+\frac{2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2} d^{3/2}}","-\frac{2 \sqrt{a+b x} \left(a^2 d^2+b^2 c^2\right)}{b^2 d \sqrt{c+d x} (b c-a d)^2}-\frac{2 a^2}{b^2 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}+\frac{2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2} d^{3/2}}",1,"(-2*a^2)/(b^2*(b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x]) - (2*(b^2*c^2 + a^2*d^2)*Sqrt[a + b*x])/(b^2*d*(b*c - a*d)^2*Sqrt[c + d*x]) + (2*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(b^(3/2)*d^(3/2))","A",5,5,22,0.2273,1,"{89, 78, 63, 217, 206}"
779,1,75,0,0.0220603,"\int \frac{x}{(a+b x)^{3/2} (c+d x)^{3/2}} \, dx","Int[x/((a + b*x)^(3/2)*(c + d*x)^(3/2)),x]","\frac{2 \sqrt{c+d x} (a d+b c)}{d \sqrt{a+b x} (b c-a d)^2}-\frac{2 c}{d \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}","\frac{2 \sqrt{c+d x} (a d+b c)}{d \sqrt{a+b x} (b c-a d)^2}-\frac{2 c}{d \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}",1,"(-2*c)/(d*(b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x]) + (2*(b*c + a*d)*Sqrt[c + d*x])/(d*(b*c - a*d)^2*Sqrt[a + b*x])","A",2,2,20,0.1000,1,"{78, 37}"
780,1,62,0,0.0104859,"\int \frac{1}{(a+b x)^{3/2} (c+d x)^{3/2}} \, dx","Int[1/((a + b*x)^(3/2)*(c + d*x)^(3/2)),x]","-\frac{4 d \sqrt{a+b x}}{\sqrt{c+d x} (b c-a d)^2}-\frac{2}{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)}","-\frac{4 d \sqrt{a+b x}}{\sqrt{c+d x} (b c-a d)^2}-\frac{2}{\sqrt{a+b x} \sqrt{c+d x} (b c-a d)}",1,"-2/((b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x]) - (4*d*Sqrt[a + b*x])/((b*c - a*d)^2*Sqrt[c + d*x])","A",2,2,19,0.1053,1,"{45, 37}"
781,1,121,0,0.0691104,"\int \frac{1}{x (a+b x)^{3/2} (c+d x)^{3/2}} \, dx","Int[1/(x*(a + b*x)^(3/2)*(c + d*x)^(3/2)),x]","-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2} c^{3/2}}+\frac{2 b}{a \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}+\frac{2 d \sqrt{a+b x} (a d+b c)}{a c \sqrt{c+d x} (b c-a d)^2}","-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2} c^{3/2}}+\frac{2 b}{a \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}+\frac{2 d \sqrt{a+b x} (a d+b c)}{a c \sqrt{c+d x} (b c-a d)^2}",1,"(2*b)/(a*(b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x]) + (2*d*(b*c + a*d)*Sqrt[a + b*x])/(a*c*(b*c - a*d)^2*Sqrt[c + d*x]) - (2*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(a^(3/2)*c^(3/2))","A",5,5,22,0.2273,1,"{104, 152, 12, 93, 208}"
782,1,185,0,0.1545008,"\int \frac{1}{x^2 (a+b x)^{3/2} (c+d x)^{3/2}} \, dx","Int[1/(x^2*(a + b*x)^(3/2)*(c + d*x)^(3/2)),x]","-\frac{d \sqrt{a+b x} \left(3 a^2 d^2-2 a b c d+3 b^2 c^2\right)}{a^2 c^2 \sqrt{c+d x} (b c-a d)^2}+\frac{3 (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{5/2} c^{5/2}}-\frac{b (3 b c-a d)}{a^2 c \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}-\frac{1}{a c x \sqrt{a+b x} \sqrt{c+d x}}","-\frac{d \sqrt{a+b x} \left(3 a^2 d^2-2 a b c d+3 b^2 c^2\right)}{a^2 c^2 \sqrt{c+d x} (b c-a d)^2}+\frac{3 (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{5/2} c^{5/2}}-\frac{b (3 b c-a d)}{a^2 c \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}-\frac{1}{a c x \sqrt{a+b x} \sqrt{c+d x}}",1,"-((b*(3*b*c - a*d))/(a^2*c*(b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])) - 1/(a*c*x*Sqrt[a + b*x]*Sqrt[c + d*x]) - (d*(3*b^2*c^2 - 2*a*b*c*d + 3*a^2*d^2)*Sqrt[a + b*x])/(a^2*c^2*(b*c - a*d)^2*Sqrt[c + d*x]) + (3*(b*c + a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(a^(5/2)*c^(5/2))","A",6,5,22,0.2273,1,"{103, 152, 12, 93, 208}"
783,1,268,0,0.2583899,"\int \frac{1}{x^3 (a+b x)^{3/2} (c+d x)^{3/2}} \, dx","Int[1/(x^3*(a + b*x)^(3/2)*(c + d*x)^(3/2)),x]","\frac{d \sqrt{a+b x} \left(15 a^2 d^2-22 a b c d+15 b^2 c^2\right) (a d+b c)}{4 a^3 c^3 \sqrt{c+d x} (b c-a d)^2}+\frac{b \left(-5 a^2 d^2-2 a b c d+15 b^2 c^2\right)}{4 a^3 c^2 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}-\frac{3 \left(5 a^2 d^2+6 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{7/2} c^{7/2}}+\frac{5 (a d+b c)}{4 a^2 c^2 x \sqrt{a+b x} \sqrt{c+d x}}-\frac{1}{2 a c x^2 \sqrt{a+b x} \sqrt{c+d x}}","\frac{d \sqrt{a+b x} \left(15 a^2 d^2-22 a b c d+15 b^2 c^2\right) (a d+b c)}{4 a^3 c^3 \sqrt{c+d x} (b c-a d)^2}+\frac{b \left(-5 a^2 d^2-2 a b c d+15 b^2 c^2\right)}{4 a^3 c^2 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)}-\frac{3 \left(5 a^2 d^2+6 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{7/2} c^{7/2}}+\frac{5 (a d+b c)}{4 a^2 c^2 x \sqrt{a+b x} \sqrt{c+d x}}-\frac{1}{2 a c x^2 \sqrt{a+b x} \sqrt{c+d x}}",1,"(b*(15*b^2*c^2 - 2*a*b*c*d - 5*a^2*d^2))/(4*a^3*c^2*(b*c - a*d)*Sqrt[a + b*x]*Sqrt[c + d*x]) - 1/(2*a*c*x^2*Sqrt[a + b*x]*Sqrt[c + d*x]) + (5*(b*c + a*d))/(4*a^2*c^2*x*Sqrt[a + b*x]*Sqrt[c + d*x]) + (d*(b*c + a*d)*(15*b^2*c^2 - 22*a*b*c*d + 15*a^2*d^2)*Sqrt[a + b*x])/(4*a^3*c^3*(b*c - a*d)^2*Sqrt[c + d*x]) - (3*(5*b^2*c^2 + 6*a*b*c*d + 5*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(7/2)*c^(7/2))","A",7,6,22,0.2727,1,"{103, 151, 152, 12, 93, 208}"
784,1,351,0,0.3338861,"\int \frac{x^5}{(a+b x)^{3/2} (c+d x)^{5/2}} \, dx","Int[x^5/((a + b*x)^(3/2)*(c + d*x)^(5/2)),x]","-\frac{2 c x^2 \sqrt{a+b x} \left(-3 a^2 d^2-12 a b c d+7 b^2 c^2\right)}{3 b d^2 \sqrt{c+d x} (b c-a d)^3}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-2 b d x \left(9 a^2 b c d^2-15 a^3 d^3-61 a b^2 c^2 d+35 b^3 c^3\right)+36 a^2 b^2 c^2 d^2+30 a^3 b c d^3-45 a^4 d^4-190 a b^3 c^3 d+105 b^4 c^4\right)}{12 b^3 d^4 (b c-a d)^3}+\frac{5 \left(3 a^2 d^2+6 a b c d+7 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{7/2} d^{9/2}}+\frac{2 a x^4}{b \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}-\frac{2 c x^3 \sqrt{a+b x} (3 a d+b c)}{3 b d (c+d x)^{3/2} (b c-a d)^2}","-\frac{2 c x^2 \sqrt{a+b x} \left(-3 a^2 d^2-12 a b c d+7 b^2 c^2\right)}{3 b d^2 \sqrt{c+d x} (b c-a d)^3}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left(-2 b d x \left(9 a^2 b c d^2-15 a^3 d^3-61 a b^2 c^2 d+35 b^3 c^3\right)+36 a^2 b^2 c^2 d^2+30 a^3 b c d^3-45 a^4 d^4-190 a b^3 c^3 d+105 b^4 c^4\right)}{12 b^3 d^4 (b c-a d)^3}+\frac{5 \left(3 a^2 d^2+6 a b c d+7 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{7/2} d^{9/2}}+\frac{2 a x^4}{b \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}-\frac{2 c x^3 \sqrt{a+b x} (3 a d+b c)}{3 b d (c+d x)^{3/2} (b c-a d)^2}",1,"(2*a*x^4)/(b*(b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2)) - (2*c*(b*c + 3*a*d)*x^3*Sqrt[a + b*x])/(3*b*d*(b*c - a*d)^2*(c + d*x)^(3/2)) - (2*c*(7*b^2*c^2 - 12*a*b*c*d - 3*a^2*d^2)*x^2*Sqrt[a + b*x])/(3*b*d^2*(b*c - a*d)^3*Sqrt[c + d*x]) - (Sqrt[a + b*x]*Sqrt[c + d*x]*(105*b^4*c^4 - 190*a*b^3*c^3*d + 36*a^2*b^2*c^2*d^2 + 30*a^3*b*c*d^3 - 45*a^4*d^4 - 2*b*d*(35*b^3*c^3 - 61*a*b^2*c^2*d + 9*a^2*b*c*d^2 - 15*a^3*d^3)*x))/(12*b^3*d^4*(b*c - a*d)^3) + (5*(7*b^2*c^2 + 6*a*b*c*d + 3*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(7/2)*d^(9/2))","A",7,6,22,0.2727,1,"{98, 150, 147, 63, 217, 206}"
785,1,251,0,0.2052737,"\int \frac{x^4}{(a+b x)^{3/2} (c+d x)^{5/2}} \, dx","Int[x^4/((a + b*x)^(3/2)*(c + d*x)^(5/2)),x]","\frac{\sqrt{a+b x} \left(d x (b c-a d) \left(9 a^2 d^2-6 a b c d+5 b^2 c^2\right)+c \left(9 a^2 b c d^2-9 a^3 d^3-31 a b^2 c^2 d+15 b^3 c^3\right)\right)}{3 b^2 d^3 \sqrt{c+d x} (b c-a d)^3}-\frac{(3 a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{5/2} d^{7/2}}+\frac{2 a x^3}{b \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}-\frac{2 c x^2 \sqrt{a+b x} (3 a d+b c)}{3 b d (c+d x)^{3/2} (b c-a d)^2}","\frac{\sqrt{a+b x} \left(d x (b c-a d) \left(9 a^2 d^2-6 a b c d+5 b^2 c^2\right)+c \left(9 a^2 b c d^2-9 a^3 d^3-31 a b^2 c^2 d+15 b^3 c^3\right)\right)}{3 b^2 d^3 \sqrt{c+d x} (b c-a d)^3}-\frac{(3 a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{5/2} d^{7/2}}+\frac{2 a x^3}{b \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}-\frac{2 c x^2 \sqrt{a+b x} (3 a d+b c)}{3 b d (c+d x)^{3/2} (b c-a d)^2}",1,"(2*a*x^3)/(b*(b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2)) - (2*c*(b*c + 3*a*d)*x^2*Sqrt[a + b*x])/(3*b*d*(b*c - a*d)^2*(c + d*x)^(3/2)) + (Sqrt[a + b*x]*(c*(15*b^3*c^3 - 31*a*b^2*c^2*d + 9*a^2*b*c*d^2 - 9*a^3*d^3) + d*(b*c - a*d)*(5*b^2*c^2 - 6*a*b*c*d + 9*a^2*d^2)*x))/(3*b^2*d^3*(b*c - a*d)^3*Sqrt[c + d*x]) - ((5*b*c + 3*a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(b^(5/2)*d^(7/2))","A",6,6,22,0.2727,1,"{98, 150, 143, 63, 217, 206}"
786,1,165,0,0.1203436,"\int \frac{x^3}{(a+b x)^{3/2} (c+d x)^{5/2}} \, dx","Int[x^3/((a + b*x)^(3/2)*(c + d*x)^(5/2)),x]","-\frac{2 c \sqrt{a+b x} \left(2 d x \left(-3 a^2 d^2-3 a b c d+2 b^2 c^2\right)+c (b c-3 a d) (a d+3 b c)\right)}{3 b d^2 (c+d x)^{3/2} (b c-a d)^3}+\frac{2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2} d^{5/2}}+\frac{2 a x^2}{b \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}","-\frac{2 c \sqrt{a+b x} \left(2 d x \left(-3 a^2 d^2-3 a b c d+2 b^2 c^2\right)+c (b c-3 a d) (a d+3 b c)\right)}{3 b d^2 (c+d x)^{3/2} (b c-a d)^3}+\frac{2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{3/2} d^{5/2}}+\frac{2 a x^2}{b \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}",1,"(2*a*x^2)/(b*(b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2)) - (2*c*Sqrt[a + b*x]*(c*(b*c - 3*a*d)*(3*b*c + a*d) + 2*d*(2*b^2*c^2 - 3*a*b*c*d - 3*a^2*d^2)*x))/(3*b*d^2*(b*c - a*d)^3*(c + d*x)^(3/2)) + (2*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(b^(3/2)*d^(5/2))","A",5,5,22,0.2273,1,"{98, 145, 63, 217, 206}"
787,1,151,0,0.1270158,"\int \frac{x^2}{(a+b x)^{3/2} (c+d x)^{5/2}} \, dx","Int[x^2/((a + b*x)^(3/2)*(c + d*x)^(5/2)),x]","\frac{2 \sqrt{a+b x} \left(-3 a^2 d^2-6 a b c d+b^2 c^2\right)}{3 b d \sqrt{c+d x} (b c-a d)^3}-\frac{2 \sqrt{a+b x} \left(3 a^2 d^2+b^2 c^2\right)}{3 b^2 d (c+d x)^{3/2} (b c-a d)^2}-\frac{2 a^2}{b^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}","\frac{2 \sqrt{a+b x} \left(-3 a^2 d^2-6 a b c d+b^2 c^2\right)}{3 b d \sqrt{c+d x} (b c-a d)^3}-\frac{2 \sqrt{a+b x} \left(3 a^2 d^2+b^2 c^2\right)}{3 b^2 d (c+d x)^{3/2} (b c-a d)^2}-\frac{2 a^2}{b^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}",1,"(-2*a^2)/(b^2*(b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2)) - (2*(b^2*c^2 + 3*a^2*d^2)*Sqrt[a + b*x])/(3*b^2*d*(b*c - a*d)^2*(c + d*x)^(3/2)) + (2*(b^2*c^2 - 6*a*b*c*d - 3*a^2*d^2)*Sqrt[a + b*x])/(3*b*d*(b*c - a*d)^3*Sqrt[c + d*x])","A",3,3,22,0.1364,1,"{89, 78, 37}"
788,1,118,0,0.0375537,"\int \frac{x}{(a+b x)^{3/2} (c+d x)^{5/2}} \, dx","Int[x/((a + b*x)^(3/2)*(c + d*x)^(5/2)),x]","\frac{2 a}{b \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}+\frac{4 \sqrt{a+b x} (3 a d+b c)}{3 \sqrt{c+d x} (b c-a d)^3}+\frac{2 \sqrt{a+b x} (3 a d+b c)}{3 b (c+d x)^{3/2} (b c-a d)^2}","\frac{2 a}{b \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}+\frac{4 \sqrt{a+b x} (3 a d+b c)}{3 \sqrt{c+d x} (b c-a d)^3}+\frac{2 \sqrt{a+b x} (3 a d+b c)}{3 b (c+d x)^{3/2} (b c-a d)^2}",1,"(2*a)/(b*(b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2)) + (2*(b*c + 3*a*d)*Sqrt[a + b*x])/(3*b*(b*c - a*d)^2*(c + d*x)^(3/2)) + (4*(b*c + 3*a*d)*Sqrt[a + b*x])/(3*(b*c - a*d)^3*Sqrt[c + d*x])","A",3,3,20,0.1500,1,"{78, 45, 37}"
789,1,98,0,0.0197125,"\int \frac{1}{(a+b x)^{3/2} (c+d x)^{5/2}} \, dx","Int[1/((a + b*x)^(3/2)*(c + d*x)^(5/2)),x]","-\frac{16 b d \sqrt{a+b x}}{3 \sqrt{c+d x} (b c-a d)^3}-\frac{8 d \sqrt{a+b x}}{3 (c+d x)^{3/2} (b c-a d)^2}-\frac{2}{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}","-\frac{16 b d \sqrt{a+b x}}{3 \sqrt{c+d x} (b c-a d)^3}-\frac{8 d \sqrt{a+b x}}{3 (c+d x)^{3/2} (b c-a d)^2}-\frac{2}{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}",1,"-2/((b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2)) - (8*d*Sqrt[a + b*x])/(3*(b*c - a*d)^2*(c + d*x)^(3/2)) - (16*b*d*Sqrt[a + b*x])/(3*(b*c - a*d)^3*Sqrt[c + d*x])","A",3,2,19,0.1053,1,"{45, 37}"
790,1,180,0,0.1454201,"\int \frac{1}{x (a+b x)^{3/2} (c+d x)^{5/2}} \, dx","Int[1/(x*(a + b*x)^(3/2)*(c + d*x)^(5/2)),x]","-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2} c^{5/2}}+\frac{2 d \sqrt{a+b x} (3 b c-a d) (3 a d+b c)}{3 a c^2 \sqrt{c+d x} (b c-a d)^3}+\frac{2 b}{a \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}+\frac{2 d \sqrt{a+b x} (a d+3 b c)}{3 a c (c+d x)^{3/2} (b c-a d)^2}","-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{3/2} c^{5/2}}+\frac{2 d \sqrt{a+b x} (3 b c-a d) (3 a d+b c)}{3 a c^2 \sqrt{c+d x} (b c-a d)^3}+\frac{2 b}{a \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}+\frac{2 d \sqrt{a+b x} (a d+3 b c)}{3 a c (c+d x)^{3/2} (b c-a d)^2}",1,"(2*b)/(a*(b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2)) + (2*d*(3*b*c + a*d)*Sqrt[a + b*x])/(3*a*c*(b*c - a*d)^2*(c + d*x)^(3/2)) + (2*d*(3*b*c - a*d)*(b*c + 3*a*d)*Sqrt[a + b*x])/(3*a*c^2*(b*c - a*d)^3*Sqrt[c + d*x]) - (2*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(a^(3/2)*c^(5/2))","A",6,5,22,0.2273,1,"{104, 152, 12, 93, 208}"
791,1,264,0,0.2742777,"\int \frac{1}{x^2 (a+b x)^{3/2} (c+d x)^{5/2}} \, dx","Int[1/(x^2*(a + b*x)^(3/2)*(c + d*x)^(5/2)),x]","-\frac{d \sqrt{a+b x} \left(31 a^2 b c d^2-15 a^3 d^3-9 a b^2 c^2 d+9 b^3 c^3\right)}{3 a^2 c^3 \sqrt{c+d x} (b c-a d)^3}-\frac{d \sqrt{a+b x} \left(5 a^2 d^2-6 a b c d+9 b^2 c^2\right)}{3 a^2 c^2 (c+d x)^{3/2} (b c-a d)^2}+\frac{(5 a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{5/2} c^{7/2}}-\frac{b (3 b c-a d)}{a^2 c \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}-\frac{1}{a c x \sqrt{a+b x} (c+d x)^{3/2}}","-\frac{d \sqrt{a+b x} \left(31 a^2 b c d^2-15 a^3 d^3-9 a b^2 c^2 d+9 b^3 c^3\right)}{3 a^2 c^3 \sqrt{c+d x} (b c-a d)^3}-\frac{d \sqrt{a+b x} \left(5 a^2 d^2-6 a b c d+9 b^2 c^2\right)}{3 a^2 c^2 (c+d x)^{3/2} (b c-a d)^2}+\frac{(5 a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{5/2} c^{7/2}}-\frac{b (3 b c-a d)}{a^2 c \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}-\frac{1}{a c x \sqrt{a+b x} (c+d x)^{3/2}}",1,"-((b*(3*b*c - a*d))/(a^2*c*(b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))) - 1/(a*c*x*Sqrt[a + b*x]*(c + d*x)^(3/2)) - (d*(9*b^2*c^2 - 6*a*b*c*d + 5*a^2*d^2)*Sqrt[a + b*x])/(3*a^2*c^2*(b*c - a*d)^2*(c + d*x)^(3/2)) - (d*(9*b^3*c^3 - 9*a*b^2*c^2*d + 31*a^2*b*c*d^2 - 15*a^3*d^3)*Sqrt[a + b*x])/(3*a^2*c^3*(b*c - a*d)^3*Sqrt[c + d*x]) + ((3*b*c + 5*a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(a^(5/2)*c^(7/2))","A",7,5,22,0.2273,1,"{103, 152, 12, 93, 208}"
792,1,361,0,0.3851617,"\int \frac{1}{x^3 (a+b x)^{3/2} (c+d x)^{5/2}} \, dx","Int[1/(x^3*(a + b*x)^(3/2)*(c + d*x)^(5/2)),x]","\frac{d \sqrt{a+b x} \left(-36 a^2 b^2 c^2 d^2+190 a^3 b c d^3-105 a^4 d^4-30 a b^3 c^3 d+45 b^4 c^4\right)}{12 a^3 c^4 \sqrt{c+d x} (b c-a d)^3}+\frac{d \sqrt{a+b x} \left(-33 a^2 b c d^2+35 a^3 d^3-15 a b^2 c^2 d+45 b^3 c^3\right)}{12 a^3 c^3 (c+d x)^{3/2} (b c-a d)^2}+\frac{b \left(15 b^2 c^2-7 a^2 d^2\right)}{4 a^3 c^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}-\frac{5 \left(7 a^2 d^2+6 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{7/2} c^{9/2}}+\frac{7 a d+5 b c}{4 a^2 c^2 x \sqrt{a+b x} (c+d x)^{3/2}}-\frac{1}{2 a c x^2 \sqrt{a+b x} (c+d x)^{3/2}}","\frac{d \sqrt{a+b x} \left(-36 a^2 b^2 c^2 d^2+190 a^3 b c d^3-105 a^4 d^4-30 a b^3 c^3 d+45 b^4 c^4\right)}{12 a^3 c^4 \sqrt{c+d x} (b c-a d)^3}+\frac{d \sqrt{a+b x} \left(-33 a^2 b c d^2+35 a^3 d^3-15 a b^2 c^2 d+45 b^3 c^3\right)}{12 a^3 c^3 (c+d x)^{3/2} (b c-a d)^2}+\frac{b \left(15 b^2 c^2-7 a^2 d^2\right)}{4 a^3 c^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)}-\frac{5 \left(7 a^2 d^2+6 a b c d+3 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{7/2} c^{9/2}}+\frac{7 a d+5 b c}{4 a^2 c^2 x \sqrt{a+b x} (c+d x)^{3/2}}-\frac{1}{2 a c x^2 \sqrt{a+b x} (c+d x)^{3/2}}",1,"(b*(15*b^2*c^2 - 7*a^2*d^2))/(4*a^3*c^2*(b*c - a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2)) - 1/(2*a*c*x^2*Sqrt[a + b*x]*(c + d*x)^(3/2)) + (5*b*c + 7*a*d)/(4*a^2*c^2*x*Sqrt[a + b*x]*(c + d*x)^(3/2)) + (d*(45*b^3*c^3 - 15*a*b^2*c^2*d - 33*a^2*b*c*d^2 + 35*a^3*d^3)*Sqrt[a + b*x])/(12*a^3*c^3*(b*c - a*d)^2*(c + d*x)^(3/2)) + (d*(45*b^4*c^4 - 30*a*b^3*c^3*d - 36*a^2*b^2*c^2*d^2 + 190*a^3*b*c*d^3 - 105*a^4*d^4)*Sqrt[a + b*x])/(12*a^3*c^4*(b*c - a*d)^3*Sqrt[c + d*x]) - (5*(3*b^2*c^2 + 6*a*b*c*d + 7*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(7/2)*c^(9/2))","A",8,6,22,0.2727,1,"{103, 151, 152, 12, 93, 208}"
793,1,497,0,0.564319,"\int \frac{x^4 (c+d x)^{5/2}}{(a+b x)^{5/2}} \, dx","Int[(x^4*(c + d*x)^(5/2))/(a + b*x)^(5/2),x]","\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(378 a^2 b^2 c^2 d^2-2772 a^3 b c d^3+3003 a^4 d^4+28 a b^3 c^3 d+3 b^4 c^4\right)}{192 b^6 d^2 (b c-a d)}-\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(-2 b d x \left(1287 a^2 d^2-902 a b c d+15 b^2 c^2\right)-2343 a^2 b c d^2+3003 a^3 d^3+125 a b^2 c^2 d+15 b^3 c^3\right)}{240 b^5 d^2 (b c-a d)}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(378 a^2 b^2 c^2 d^2-2772 a^3 b c d^3+3003 a^4 d^4+28 a b^3 c^3 d+3 b^4 c^4\right)}{128 b^7 d^2}+\frac{(b c-a d) \left(378 a^2 b^2 c^2 d^2-2772 a^3 b c d^3+3003 a^4 d^4+28 a b^3 c^3 d+3 b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{15/2} d^{5/2}}-\frac{2 x^3 (c+d x)^{5/2} (8 b c-13 a d)}{3 b^2 \sqrt{a+b x} (b c-a d)}+\frac{x^2 \sqrt{a+b x} (c+d x)^{5/2} (93 b c-143 a d)}{15 b^3 (b c-a d)}-\frac{2 x^4 (c+d x)^{5/2}}{3 b (a+b x)^{3/2}}","\frac{\sqrt{a+b x} (c+d x)^{3/2} \left(378 a^2 b^2 c^2 d^2-2772 a^3 b c d^3+3003 a^4 d^4+28 a b^3 c^3 d+3 b^4 c^4\right)}{192 b^6 d^2 (b c-a d)}-\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(-2 b d x \left(1287 a^2 d^2-902 a b c d+15 b^2 c^2\right)-2343 a^2 b c d^2+3003 a^3 d^3+125 a b^2 c^2 d+15 b^3 c^3\right)}{240 b^5 d^2 (b c-a d)}+\frac{\sqrt{a+b x} \sqrt{c+d x} \left(378 a^2 b^2 c^2 d^2-2772 a^3 b c d^3+3003 a^4 d^4+28 a b^3 c^3 d+3 b^4 c^4\right)}{128 b^7 d^2}+\frac{(b c-a d) \left(378 a^2 b^2 c^2 d^2-2772 a^3 b c d^3+3003 a^4 d^4+28 a b^3 c^3 d+3 b^4 c^4\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{128 b^{15/2} d^{5/2}}-\frac{2 x^3 (c+d x)^{5/2} (8 b c-13 a d)}{3 b^2 \sqrt{a+b x} (b c-a d)}+\frac{x^2 \sqrt{a+b x} (c+d x)^{5/2} (93 b c-143 a d)}{15 b^3 (b c-a d)}-\frac{2 x^4 (c+d x)^{5/2}}{3 b (a+b x)^{3/2}}",1,"((3*b^4*c^4 + 28*a*b^3*c^3*d + 378*a^2*b^2*c^2*d^2 - 2772*a^3*b*c*d^3 + 3003*a^4*d^4)*Sqrt[a + b*x]*Sqrt[c + d*x])/(128*b^7*d^2) + ((3*b^4*c^4 + 28*a*b^3*c^3*d + 378*a^2*b^2*c^2*d^2 - 2772*a^3*b*c*d^3 + 3003*a^4*d^4)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(192*b^6*d^2*(b*c - a*d)) - (2*x^4*(c + d*x)^(5/2))/(3*b*(a + b*x)^(3/2)) - (2*(8*b*c - 13*a*d)*x^3*(c + d*x)^(5/2))/(3*b^2*(b*c - a*d)*Sqrt[a + b*x]) + ((93*b*c - 143*a*d)*x^2*Sqrt[a + b*x]*(c + d*x)^(5/2))/(15*b^3*(b*c - a*d)) - (Sqrt[a + b*x]*(c + d*x)^(5/2)*(15*b^3*c^3 + 125*a*b^2*c^2*d - 2343*a^2*b*c*d^2 + 3003*a^3*d^3 - 2*b*d*(15*b^2*c^2 - 902*a*b*c*d + 1287*a^2*d^2)*x))/(240*b^5*d^2*(b*c - a*d)) + ((b*c - a*d)*(3*b^4*c^4 + 28*a*b^3*c^3*d + 378*a^2*b^2*c^2*d^2 - 2772*a^3*b*c*d^3 + 3003*a^4*d^4)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(128*b^(15/2)*d^(5/2))","A",9,8,22,0.3636,1,"{97, 150, 153, 147, 50, 63, 217, 206}"
794,1,377,0,0.3613965,"\int \frac{x^3 (c+d x)^{5/2}}{(a+b x)^{5/2}} \, dx","Int[(x^3*(c + d*x)^(5/2))/(a + b*x)^(5/2),x]","-\frac{5 \sqrt{a+b x} (c+d x)^{3/2} \left(-189 a^2 b c d^2+231 a^3 d^3+21 a b^2 c^2 d+b^3 c^3\right)}{96 b^5 d (b c-a d)}+\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(231 a^2 d^2+2 b d x (59 b c-99 a d)-156 a b c d+5 b^2 c^2\right)}{24 b^4 d (b c-a d)}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} \left(-189 a^2 b c d^2+231 a^3 d^3+21 a b^2 c^2 d+b^3 c^3\right)}{64 b^6 d}-\frac{5 (b c-a d) \left(-189 a^2 b c d^2+231 a^3 d^3+21 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{13/2} d^{3/2}}-\frac{2 x^2 (c+d x)^{5/2} (6 b c-11 a d)}{3 b^2 \sqrt{a+b x} (b c-a d)}-\frac{2 x^3 (c+d x)^{5/2}}{3 b (a+b x)^{3/2}}","-\frac{5 \sqrt{a+b x} (c+d x)^{3/2} \left(-189 a^2 b c d^2+231 a^3 d^3+21 a b^2 c^2 d+b^3 c^3\right)}{96 b^5 d (b c-a d)}+\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(231 a^2 d^2+2 b d x (59 b c-99 a d)-156 a b c d+5 b^2 c^2\right)}{24 b^4 d (b c-a d)}-\frac{5 \sqrt{a+b x} \sqrt{c+d x} \left(-189 a^2 b c d^2+231 a^3 d^3+21 a b^2 c^2 d+b^3 c^3\right)}{64 b^6 d}-\frac{5 (b c-a d) \left(-189 a^2 b c d^2+231 a^3 d^3+21 a b^2 c^2 d+b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{64 b^{13/2} d^{3/2}}-\frac{2 x^2 (c+d x)^{5/2} (6 b c-11 a d)}{3 b^2 \sqrt{a+b x} (b c-a d)}-\frac{2 x^3 (c+d x)^{5/2}}{3 b (a+b x)^{3/2}}",1,"(-5*(b^3*c^3 + 21*a*b^2*c^2*d - 189*a^2*b*c*d^2 + 231*a^3*d^3)*Sqrt[a + b*x]*Sqrt[c + d*x])/(64*b^6*d) - (5*(b^3*c^3 + 21*a*b^2*c^2*d - 189*a^2*b*c*d^2 + 231*a^3*d^3)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(96*b^5*d*(b*c - a*d)) - (2*x^3*(c + d*x)^(5/2))/(3*b*(a + b*x)^(3/2)) - (2*(6*b*c - 11*a*d)*x^2*(c + d*x)^(5/2))/(3*b^2*(b*c - a*d)*Sqrt[a + b*x]) + (Sqrt[a + b*x]*(c + d*x)^(5/2)*(5*b^2*c^2 - 156*a*b*c*d + 231*a^2*d^2 + 2*b*d*(59*b*c - 99*a*d)*x))/(24*b^4*d*(b*c - a*d)) - (5*(b*c - a*d)*(b^3*c^3 + 21*a*b^2*c^2*d - 189*a^2*b*c*d^2 + 231*a^3*d^3)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(64*b^(13/2)*d^(3/2))","A",8,7,22,0.3182,1,"{97, 150, 147, 50, 63, 217, 206}"
795,1,319,0,0.3267243,"\int \frac{x^2 (c+d x)^{5/2}}{(a+b x)^{5/2}} \, dx","Int[(x^2*(c + d*x)^(5/2))/(a + b*x)^(5/2),x]","\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(21 a^2 d^2-14 a b c d+b^2 c^2\right)}{3 b^3 (b c-a d)^2}+\frac{5 \sqrt{a+b x} (c+d x)^{3/2} \left(21 a^2 d^2-14 a b c d+b^2 c^2\right)}{12 b^4 (b c-a d)}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} \left(21 a^2 d^2-14 a b c d+b^2 c^2\right)}{8 b^5}+\frac{5 (b c-a d) \left(21 a^2 d^2-14 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{11/2} \sqrt{d}}-\frac{2 a^2 (c+d x)^{7/2}}{3 b^2 (a+b x)^{3/2} (b c-a d)}+\frac{4 a (c+d x)^{7/2} (3 b c-5 a d)}{3 b^2 \sqrt{a+b x} (b c-a d)^2}","\frac{\sqrt{a+b x} (c+d x)^{5/2} \left(21 a^2 d^2-14 a b c d+b^2 c^2\right)}{3 b^3 (b c-a d)^2}+\frac{5 \sqrt{a+b x} (c+d x)^{3/2} \left(21 a^2 d^2-14 a b c d+b^2 c^2\right)}{12 b^4 (b c-a d)}+\frac{5 \sqrt{a+b x} \sqrt{c+d x} \left(21 a^2 d^2-14 a b c d+b^2 c^2\right)}{8 b^5}+\frac{5 (b c-a d) \left(21 a^2 d^2-14 a b c d+b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{8 b^{11/2} \sqrt{d}}-\frac{2 a^2 (c+d x)^{7/2}}{3 b^2 (a+b x)^{3/2} (b c-a d)}+\frac{4 a (c+d x)^{7/2} (3 b c-5 a d)}{3 b^2 \sqrt{a+b x} (b c-a d)^2}",1,"(5*(b^2*c^2 - 14*a*b*c*d + 21*a^2*d^2)*Sqrt[a + b*x]*Sqrt[c + d*x])/(8*b^5) + (5*(b^2*c^2 - 14*a*b*c*d + 21*a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(12*b^4*(b*c - a*d)) + ((b^2*c^2 - 14*a*b*c*d + 21*a^2*d^2)*Sqrt[a + b*x]*(c + d*x)^(5/2))/(3*b^3*(b*c - a*d)^2) - (2*a^2*(c + d*x)^(7/2))/(3*b^2*(b*c - a*d)*(a + b*x)^(3/2)) + (4*a*(3*b*c - 5*a*d)*(c + d*x)^(7/2))/(3*b^2*(b*c - a*d)^2*Sqrt[a + b*x]) + (5*(b*c - a*d)*(b^2*c^2 - 14*a*b*c*d + 21*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(8*b^(11/2)*Sqrt[d])","A",8,6,22,0.2727,1,"{89, 78, 50, 63, 217, 206}"
796,1,222,0,0.1197824,"\int \frac{x (c+d x)^{5/2}}{(a+b x)^{5/2}} \, dx","Int[(x*(c + d*x)^(5/2))/(a + b*x)^(5/2),x]","-\frac{2 (c+d x)^{5/2} (3 b c-7 a d)}{3 b^2 \sqrt{a+b x} (b c-a d)}+\frac{5 d \sqrt{a+b x} (c+d x)^{3/2} (3 b c-7 a d)}{6 b^3 (b c-a d)}+\frac{5 d \sqrt{a+b x} \sqrt{c+d x} (3 b c-7 a d)}{4 b^4}+\frac{5 \sqrt{d} (3 b c-7 a d) (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{9/2}}+\frac{2 a (c+d x)^{7/2}}{3 b (a+b x)^{3/2} (b c-a d)}","-\frac{2 (c+d x)^{5/2} (3 b c-7 a d)}{3 b^2 \sqrt{a+b x} (b c-a d)}+\frac{5 d \sqrt{a+b x} (c+d x)^{3/2} (3 b c-7 a d)}{6 b^3 (b c-a d)}+\frac{5 d \sqrt{a+b x} \sqrt{c+d x} (3 b c-7 a d)}{4 b^4}+\frac{5 \sqrt{d} (3 b c-7 a d) (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{9/2}}+\frac{2 a (c+d x)^{7/2}}{3 b (a+b x)^{3/2} (b c-a d)}",1,"(5*d*(3*b*c - 7*a*d)*Sqrt[a + b*x]*Sqrt[c + d*x])/(4*b^4) + (5*d*(3*b*c - 7*a*d)*Sqrt[a + b*x]*(c + d*x)^(3/2))/(6*b^3*(b*c - a*d)) - (2*(3*b*c - 7*a*d)*(c + d*x)^(5/2))/(3*b^2*(b*c - a*d)*Sqrt[a + b*x]) + (2*a*(c + d*x)^(7/2))/(3*b*(b*c - a*d)*(a + b*x)^(3/2)) + (5*Sqrt[d]*(3*b*c - 7*a*d)*(b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(9/2))","A",7,6,20,0.3000,1,"{78, 47, 50, 63, 217, 206}"
797,1,128,0,0.0665349,"\int \frac{(c+d x)^{5/2}}{(a+b x)^{5/2}} \, dx","Int[(c + d*x)^(5/2)/(a + b*x)^(5/2),x]","\frac{5 d^2 \sqrt{a+b x} \sqrt{c+d x}}{b^3}+\frac{5 d^{3/2} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{7/2}}-\frac{10 d (c+d x)^{3/2}}{3 b^2 \sqrt{a+b x}}-\frac{2 (c+d x)^{5/2}}{3 b (a+b x)^{3/2}}","\frac{5 d^2 \sqrt{a+b x} \sqrt{c+d x}}{b^3}+\frac{5 d^{3/2} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{7/2}}-\frac{10 d (c+d x)^{3/2}}{3 b^2 \sqrt{a+b x}}-\frac{2 (c+d x)^{5/2}}{3 b (a+b x)^{3/2}}",1,"(5*d^2*Sqrt[a + b*x]*Sqrt[c + d*x])/b^3 - (10*d*(c + d*x)^(3/2))/(3*b^2*Sqrt[a + b*x]) - (2*(c + d*x)^(5/2))/(3*b*(a + b*x)^(3/2)) + (5*d^(3/2)*(b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/b^(7/2)","A",6,5,19,0.2632,1,"{47, 50, 63, 217, 206}"
798,1,157,0,0.1117287,"\int \frac{(c+d x)^{5/2}}{x (a+b x)^{5/2}} \, dx","Int[(c + d*x)^(5/2)/(x*(a + b*x)^(5/2)),x]","\frac{2 \sqrt{c+d x} \left(\frac{c^2}{a^2}-\frac{d^2}{b^2}\right)}{\sqrt{a+b x}}-\frac{2 c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{5/2}}+\frac{2 d^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{5/2}}+\frac{2 (c+d x)^{3/2} (b c-a d)}{3 a b (a+b x)^{3/2}}","\frac{2 \sqrt{c+d x} \left(\frac{c^2}{a^2}-\frac{d^2}{b^2}\right)}{\sqrt{a+b x}}-\frac{2 c^{5/2} \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{5/2}}+\frac{2 d^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{5/2}}+\frac{2 (c+d x)^{3/2} (b c-a d)}{3 a b (a+b x)^{3/2}}",1,"(2*(c^2/a^2 - d^2/b^2)*Sqrt[c + d*x])/Sqrt[a + b*x] + (2*(b*c - a*d)*(c + d*x)^(3/2))/(3*a*b*(a + b*x)^(3/2)) - (2*c^(5/2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/a^(5/2) + (2*d^(5/2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/b^(5/2)","A",8,8,22,0.3636,1,"{98, 150, 157, 63, 217, 206, 93, 208}"
799,1,142,0,0.0562996,"\int \frac{(c+d x)^{5/2}}{x^2 (a+b x)^{5/2}} \, dx","Int[(c + d*x)^(5/2)/(x^2*(a + b*x)^(5/2)),x]","\frac{5 c^{3/2} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{7/2}}-\frac{5 (c+d x)^{3/2} (b c-a d)}{3 a^2 (a+b x)^{3/2}}-\frac{5 c \sqrt{c+d x} (b c-a d)}{a^3 \sqrt{a+b x}}-\frac{(c+d x)^{5/2}}{a x (a+b x)^{3/2}}","\frac{5 c^{3/2} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{7/2}}-\frac{5 (c+d x)^{3/2} (b c-a d)}{3 a^2 (a+b x)^{3/2}}-\frac{5 c \sqrt{c+d x} (b c-a d)}{a^3 \sqrt{a+b x}}-\frac{(c+d x)^{5/2}}{a x (a+b x)^{3/2}}",1,"(-5*c*(b*c - a*d)*Sqrt[c + d*x])/(a^3*Sqrt[a + b*x]) - (5*(b*c - a*d)*(c + d*x)^(3/2))/(3*a^2*(a + b*x)^(3/2)) - (c + d*x)^(5/2)/(a*x*(a + b*x)^(3/2)) + (5*c^(3/2)*(b*c - a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/a^(7/2)","A",5,3,22,0.1364,1,"{94, 93, 208}"
800,1,220,0,0.1075829,"\int \frac{(c+d x)^{5/2}}{x^3 (a+b x)^{5/2}} \, dx","Int[(c + d*x)^(5/2)/(x^3*(a + b*x)^(5/2)),x]","\frac{(c+d x)^{5/2} (7 b c-3 a d)}{4 a^2 c x (a+b x)^{3/2}}+\frac{5 (c+d x)^{3/2} (7 b c-3 a d) (b c-a d)}{12 a^3 c (a+b x)^{3/2}}+\frac{5 \sqrt{c+d x} (7 b c-3 a d) (b c-a d)}{4 a^4 \sqrt{a+b x}}-\frac{5 \sqrt{c} (7 b c-3 a d) (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{9/2}}-\frac{(c+d x)^{7/2}}{2 a c x^2 (a+b x)^{3/2}}","\frac{(c+d x)^{5/2} (7 b c-3 a d)}{4 a^2 c x (a+b x)^{3/2}}+\frac{5 (c+d x)^{3/2} (7 b c-3 a d) (b c-a d)}{12 a^3 c (a+b x)^{3/2}}+\frac{5 \sqrt{c+d x} (7 b c-3 a d) (b c-a d)}{4 a^4 \sqrt{a+b x}}-\frac{5 \sqrt{c} (7 b c-3 a d) (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{9/2}}-\frac{(c+d x)^{7/2}}{2 a c x^2 (a+b x)^{3/2}}",1,"(5*(7*b*c - 3*a*d)*(b*c - a*d)*Sqrt[c + d*x])/(4*a^4*Sqrt[a + b*x]) + (5*(7*b*c - 3*a*d)*(b*c - a*d)*(c + d*x)^(3/2))/(12*a^3*c*(a + b*x)^(3/2)) + ((7*b*c - 3*a*d)*(c + d*x)^(5/2))/(4*a^2*c*x*(a + b*x)^(3/2)) - (c + d*x)^(7/2)/(2*a*c*x^2*(a + b*x)^(3/2)) - (5*Sqrt[c]*(7*b*c - 3*a*d)*(b*c - a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(9/2))","A",6,4,22,0.1818,1,"{96, 94, 93, 208}"
801,1,278,0,0.3658731,"\int \frac{(c+d x)^{5/2}}{x^4 (a+b x)^{5/2}} \, dx","Int[(c + d*x)^(5/2)/(x^4*(a + b*x)^(5/2)),x]","-\frac{b \sqrt{c+d x} \left(113 a^2 d^2-420 a b c d+315 b^2 c^2\right)}{24 a^5 \sqrt{a+b x}}+\frac{5 (b c-a d) \left(a^2 d^2-14 a b c d+21 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{11/2} \sqrt{c}}+\frac{3 c \sqrt{c+d x} (b c-a d)}{4 a^2 x^2 (a+b x)^{3/2}}-\frac{7 b \sqrt{c+d x} (15 b c-7 a d) (b c-a d)}{24 a^4 (a+b x)^{3/2}}-\frac{\sqrt{c+d x} (21 b c-11 a d) (b c-a d)}{8 a^3 x (a+b x)^{3/2}}-\frac{c (c+d x)^{3/2}}{3 a x^3 (a+b x)^{3/2}}","-\frac{b \sqrt{c+d x} \left(113 a^2 d^2-420 a b c d+315 b^2 c^2\right)}{24 a^5 \sqrt{a+b x}}+\frac{5 (b c-a d) \left(a^2 d^2-14 a b c d+21 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{8 a^{11/2} \sqrt{c}}+\frac{3 c \sqrt{c+d x} (b c-a d)}{4 a^2 x^2 (a+b x)^{3/2}}-\frac{7 b \sqrt{c+d x} (15 b c-7 a d) (b c-a d)}{24 a^4 (a+b x)^{3/2}}-\frac{\sqrt{c+d x} (21 b c-11 a d) (b c-a d)}{8 a^3 x (a+b x)^{3/2}}-\frac{c (c+d x)^{3/2}}{3 a x^3 (a+b x)^{3/2}}",1,"(-7*b*(15*b*c - 7*a*d)*(b*c - a*d)*Sqrt[c + d*x])/(24*a^4*(a + b*x)^(3/2)) + (3*c*(b*c - a*d)*Sqrt[c + d*x])/(4*a^2*x^2*(a + b*x)^(3/2)) - ((21*b*c - 11*a*d)*(b*c - a*d)*Sqrt[c + d*x])/(8*a^3*x*(a + b*x)^(3/2)) - (b*(315*b^2*c^2 - 420*a*b*c*d + 113*a^2*d^2)*Sqrt[c + d*x])/(24*a^5*Sqrt[a + b*x]) - (c*(c + d*x)^(3/2))/(3*a*x^3*(a + b*x)^(3/2)) + (5*(b*c - a*d)*(21*b^2*c^2 - 14*a*b*c*d + a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(8*a^(11/2)*Sqrt[c])","A",8,7,22,0.3182,1,"{98, 149, 151, 152, 12, 93, 208}"
802,1,388,0,0.5258011,"\int \frac{(c+d x)^{5/2}}{x^5 (a+b x)^{5/2}} \, dx","Int[(c + d*x)^(5/2)/(x^5*(a + b*x)^(5/2)),x]","\frac{b \sqrt{c+d x} \left(581 a^2 b c d^2-5 a^3 d^3-1715 a b^2 c^2 d+1155 b^3 c^3\right)}{64 a^6 c \sqrt{a+b x}}+\frac{b \sqrt{c+d x} (b c-a d) \left(5 a^2 d^2-238 a b c d+385 b^2 c^2\right)}{64 a^5 c (a+b x)^{3/2}}+\frac{\sqrt{c+d x} (b c-a d) \left(5 a^2 d^2-156 a b c d+231 b^2 c^2\right)}{64 a^4 c x (a+b x)^{3/2}}-\frac{5 (b c-a d) \left(21 a^2 b c d^2+a^3 d^3-189 a b^2 c^2 d+231 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{13/2} c^{3/2}}-\frac{\sqrt{c+d x} (99 b c-59 a d) (b c-a d)}{96 a^3 x^2 (a+b x)^{3/2}}+\frac{11 c \sqrt{c+d x} (b c-a d)}{24 a^2 x^3 (a+b x)^{3/2}}-\frac{c (c+d x)^{3/2}}{4 a x^4 (a+b x)^{3/2}}","\frac{b \sqrt{c+d x} \left(581 a^2 b c d^2-5 a^3 d^3-1715 a b^2 c^2 d+1155 b^3 c^3\right)}{64 a^6 c \sqrt{a+b x}}+\frac{b \sqrt{c+d x} (b c-a d) \left(5 a^2 d^2-238 a b c d+385 b^2 c^2\right)}{64 a^5 c (a+b x)^{3/2}}+\frac{\sqrt{c+d x} (b c-a d) \left(5 a^2 d^2-156 a b c d+231 b^2 c^2\right)}{64 a^4 c x (a+b x)^{3/2}}-\frac{5 (b c-a d) \left(21 a^2 b c d^2+a^3 d^3-189 a b^2 c^2 d+231 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{64 a^{13/2} c^{3/2}}-\frac{\sqrt{c+d x} (99 b c-59 a d) (b c-a d)}{96 a^3 x^2 (a+b x)^{3/2}}+\frac{11 c \sqrt{c+d x} (b c-a d)}{24 a^2 x^3 (a+b x)^{3/2}}-\frac{c (c+d x)^{3/2}}{4 a x^4 (a+b x)^{3/2}}",1,"(b*(b*c - a*d)*(385*b^2*c^2 - 238*a*b*c*d + 5*a^2*d^2)*Sqrt[c + d*x])/(64*a^5*c*(a + b*x)^(3/2)) + (11*c*(b*c - a*d)*Sqrt[c + d*x])/(24*a^2*x^3*(a + b*x)^(3/2)) - ((99*b*c - 59*a*d)*(b*c - a*d)*Sqrt[c + d*x])/(96*a^3*x^2*(a + b*x)^(3/2)) + ((b*c - a*d)*(231*b^2*c^2 - 156*a*b*c*d + 5*a^2*d^2)*Sqrt[c + d*x])/(64*a^4*c*x*(a + b*x)^(3/2)) + (b*(1155*b^3*c^3 - 1715*a*b^2*c^2*d + 581*a^2*b*c*d^2 - 5*a^3*d^3)*Sqrt[c + d*x])/(64*a^6*c*Sqrt[a + b*x]) - (c*(c + d*x)^(3/2))/(4*a*x^4*(a + b*x)^(3/2)) - (5*(b*c - a*d)*(231*b^3*c^3 - 189*a*b^2*c^2*d + 21*a^2*b*c*d^2 + a^3*d^3)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(64*a^(13/2)*c^(3/2))","A",9,7,22,0.3182,1,"{98, 149, 151, 152, 12, 93, 208}"
803,1,126,0,0.0802058,"\int \frac{x^2}{(a+b x)^{5/2} \sqrt{c+d x}} \, dx","Int[x^2/((a + b*x)^(5/2)*Sqrt[c + d*x]),x]","-\frac{2 a^2 \sqrt{c+d x}}{3 b^2 (a+b x)^{3/2} (b c-a d)}+\frac{4 a \sqrt{c+d x} (3 b c-2 a d)}{3 b^2 \sqrt{a+b x} (b c-a d)^2}+\frac{2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{5/2} \sqrt{d}}","-\frac{2 a^2 \sqrt{c+d x}}{3 b^2 (a+b x)^{3/2} (b c-a d)}+\frac{4 a \sqrt{c+d x} (3 b c-2 a d)}{3 b^2 \sqrt{a+b x} (b c-a d)^2}+\frac{2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{5/2} \sqrt{d}}",1,"(-2*a^2*Sqrt[c + d*x])/(3*b^2*(b*c - a*d)*(a + b*x)^(3/2)) + (4*a*(3*b*c - 2*a*d)*Sqrt[c + d*x])/(3*b^2*(b*c - a*d)^2*Sqrt[a + b*x]) + (2*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(b^(5/2)*Sqrt[d])","A",5,5,22,0.2273,1,"{89, 78, 63, 217, 206}"
804,1,445,0,0.5342535,"\int \frac{x^6}{(a+b x)^{5/2} (c+d x)^{5/2}} \, dx","Int[x^6/((a + b*x)^(5/2)*(c + d*x)^(5/2)),x]","-\frac{2 c x^3 \sqrt{a+b x} \left(-7 a^2 d^2+14 a b c d+b^2 c^2\right)}{3 b^2 d (c+d x)^{3/2} (b c-a d)^3}-\frac{2 c x^2 \sqrt{a+b x} (a d+b c) \left(7 a^2 d^2-22 a b c d+7 b^2 c^2\right)}{3 b^2 d^2 \sqrt{c+d x} (b c-a d)^4}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left((a d+b c) \left(406 a^2 b^2 c^2 d^2-340 a^3 b c d^3+105 a^4 d^4-340 a b^3 c^3 d+105 b^4 c^4\right)-2 b d x \left(18 a^2 b^2 c^2 d^2-76 a^3 b c d^3+35 a^4 d^4-76 a b^3 c^3 d+35 b^4 c^4\right)\right)}{12 b^4 d^4 (b c-a d)^4}+\frac{5 \left(7 a^2 d^2+10 a b c d+7 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{9/2} d^{9/2}}+\frac{2 a x^4 (13 b c-7 a d)}{3 b^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}+\frac{2 a x^5}{3 b (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}","-\frac{2 c x^3 \sqrt{a+b x} \left(-7 a^2 d^2+14 a b c d+b^2 c^2\right)}{3 b^2 d (c+d x)^{3/2} (b c-a d)^3}-\frac{2 c x^2 \sqrt{a+b x} (a d+b c) \left(7 a^2 d^2-22 a b c d+7 b^2 c^2\right)}{3 b^2 d^2 \sqrt{c+d x} (b c-a d)^4}-\frac{\sqrt{a+b x} \sqrt{c+d x} \left((a d+b c) \left(406 a^2 b^2 c^2 d^2-340 a^3 b c d^3+105 a^4 d^4-340 a b^3 c^3 d+105 b^4 c^4\right)-2 b d x \left(18 a^2 b^2 c^2 d^2-76 a^3 b c d^3+35 a^4 d^4-76 a b^3 c^3 d+35 b^4 c^4\right)\right)}{12 b^4 d^4 (b c-a d)^4}+\frac{5 \left(7 a^2 d^2+10 a b c d+7 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{4 b^{9/2} d^{9/2}}+\frac{2 a x^4 (13 b c-7 a d)}{3 b^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}+\frac{2 a x^5}{3 b (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}",1,"(2*a*x^5)/(3*b*(b*c - a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2)) + (2*a*(13*b*c - 7*a*d)*x^4)/(3*b^2*(b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(3/2)) - (2*c*(b^2*c^2 + 14*a*b*c*d - 7*a^2*d^2)*x^3*Sqrt[a + b*x])/(3*b^2*d*(b*c - a*d)^3*(c + d*x)^(3/2)) - (2*c*(b*c + a*d)*(7*b^2*c^2 - 22*a*b*c*d + 7*a^2*d^2)*x^2*Sqrt[a + b*x])/(3*b^2*d^2*(b*c - a*d)^4*Sqrt[c + d*x]) - (Sqrt[a + b*x]*Sqrt[c + d*x]*((b*c + a*d)*(105*b^4*c^4 - 340*a*b^3*c^3*d + 406*a^2*b^2*c^2*d^2 - 340*a^3*b*c*d^3 + 105*a^4*d^4) - 2*b*d*(35*b^4*c^4 - 76*a*b^3*c^3*d + 18*a^2*b^2*c^2*d^2 - 76*a^3*b*c*d^3 + 35*a^4*d^4)*x))/(12*b^4*d^4*(b*c - a*d)^4) + (5*(7*b^2*c^2 + 10*a*b*c*d + 7*a^2*d^2)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(4*b^(9/2)*d^(9/2))","A",8,6,22,0.2727,1,"{98, 150, 147, 63, 217, 206}"
805,1,341,0,0.3488104,"\int \frac{x^5}{(a+b x)^{5/2} (c+d x)^{5/2}} \, dx","Int[x^5/((a + b*x)^(5/2)*(c + d*x)^(5/2)),x]","-\frac{2 c x^2 \sqrt{a+b x} \left(-5 a^2 d^2+12 a b c d+b^2 c^2\right)}{3 b^2 d (c+d x)^{3/2} (b c-a d)^3}+\frac{\sqrt{a+b x} \left(d x (b c-a d) \left(35 a^2 b c d^2-15 a^3 d^3-9 a b^2 c^2 d+5 b^3 c^3\right)+c \left(18 a^2 b^2 c^2 d^2-40 a^3 b c d^3+15 a^4 d^4-40 a b^3 c^3 d+15 b^4 c^4\right)\right)}{3 b^3 d^3 \sqrt{c+d x} (b c-a d)^4}-\frac{5 (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{7/2} d^{7/2}}+\frac{2 a x^3 (11 b c-5 a d)}{3 b^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}+\frac{2 a x^4}{3 b (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}","-\frac{2 c x^2 \sqrt{a+b x} \left(-5 a^2 d^2+12 a b c d+b^2 c^2\right)}{3 b^2 d (c+d x)^{3/2} (b c-a d)^3}+\frac{\sqrt{a+b x} \left(d x (b c-a d) \left(35 a^2 b c d^2-15 a^3 d^3-9 a b^2 c^2 d+5 b^3 c^3\right)+c \left(18 a^2 b^2 c^2 d^2-40 a^3 b c d^3+15 a^4 d^4-40 a b^3 c^3 d+15 b^4 c^4\right)\right)}{3 b^3 d^3 \sqrt{c+d x} (b c-a d)^4}-\frac{5 (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{7/2} d^{7/2}}+\frac{2 a x^3 (11 b c-5 a d)}{3 b^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}+\frac{2 a x^4}{3 b (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}",1,"(2*a*x^4)/(3*b*(b*c - a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2)) + (2*a*(11*b*c - 5*a*d)*x^3)/(3*b^2*(b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(3/2)) - (2*c*(b^2*c^2 + 12*a*b*c*d - 5*a^2*d^2)*x^2*Sqrt[a + b*x])/(3*b^2*d*(b*c - a*d)^3*(c + d*x)^(3/2)) + (Sqrt[a + b*x]*(c*(15*b^4*c^4 - 40*a*b^3*c^3*d + 18*a^2*b^2*c^2*d^2 - 40*a^3*b*c*d^3 + 15*a^4*d^4) + d*(b*c - a*d)*(5*b^3*c^3 - 9*a*b^2*c^2*d + 35*a^2*b*c*d^2 - 15*a^3*d^3)*x))/(3*b^3*d^3*(b*c - a*d)^4*Sqrt[c + d*x]) - (5*(b*c + a*d)*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(b^(7/2)*d^(7/2))","A",7,6,22,0.2727,1,"{98, 150, 143, 63, 217, 206}"
806,1,241,0,0.1995567,"\int \frac{x^4}{(a+b x)^{5/2} (c+d x)^{5/2}} \, dx","Int[x^4/((a + b*x)^(5/2)*(c + d*x)^(5/2)),x]","-\frac{2 c \sqrt{a+b x} \left(2 d x \left(-12 a^2 b c d^2+3 a^3 d^3-a b^2 c^2 d+2 b^3 c^3\right)+c (a d+b c) \left(3 a^2 d^2-14 a b c d+3 b^2 c^2\right)\right)}{3 b^2 d^2 (c+d x)^{3/2} (b c-a d)^4}+\frac{2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{5/2} d^{5/2}}+\frac{2 a x^2 (3 b c-a d)}{b^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}+\frac{2 a x^3}{3 b (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}","-\frac{2 c \sqrt{a+b x} \left(2 d x \left(-12 a^2 b c d^2+3 a^3 d^3-a b^2 c^2 d+2 b^3 c^3\right)+c (a d+b c) \left(3 a^2 d^2-14 a b c d+3 b^2 c^2\right)\right)}{3 b^2 d^2 (c+d x)^{3/2} (b c-a d)^4}+\frac{2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{b^{5/2} d^{5/2}}+\frac{2 a x^2 (3 b c-a d)}{b^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}+\frac{2 a x^3}{3 b (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}",1,"(2*a*x^3)/(3*b*(b*c - a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2)) + (2*a*(3*b*c - a*d)*x^2)/(b^2*(b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(3/2)) - (2*c*Sqrt[a + b*x]*(c*(b*c + a*d)*(3*b^2*c^2 - 14*a*b*c*d + 3*a^2*d^2) + 2*d*(2*b^3*c^3 - a*b^2*c^2*d - 12*a^2*b*c*d^2 + 3*a^3*d^3)*x))/(3*b^2*d^2*(b*c - a*d)^4*(c + d*x)^(3/2)) + (2*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(b^(5/2)*d^(5/2))","A",6,6,22,0.2727,1,"{98, 150, 145, 63, 217, 206}"
807,1,189,0,0.1512142,"\int \frac{x^3}{(a+b x)^{5/2} (c+d x)^{5/2}} \, dx","Int[x^3/((a + b*x)^(5/2)*(c + d*x)^(5/2)),x]","\frac{4 c \sqrt{a+b x} \left(-3 a^2 d^2-6 a b c d+b^2 c^2\right)}{3 b d \sqrt{c+d x} (b c-a d)^4}-\frac{4 c \sqrt{a+b x} \left(3 a^2 d^2+b^2 c^2\right)}{3 b^2 d (c+d x)^{3/2} (b c-a d)^3}-\frac{4 a^2 c}{b^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}-\frac{2 x^3}{3 (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}","\frac{4 c \sqrt{a+b x} \left(-3 a^2 d^2-6 a b c d+b^2 c^2\right)}{3 b d \sqrt{c+d x} (b c-a d)^4}-\frac{4 c \sqrt{a+b x} \left(3 a^2 d^2+b^2 c^2\right)}{3 b^2 d (c+d x)^{3/2} (b c-a d)^3}-\frac{4 a^2 c}{b^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}-\frac{2 x^3}{3 (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}",1,"(-2*x^3)/(3*(b*c - a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2)) - (4*a^2*c)/(b^2*(b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(3/2)) - (4*c*(b^2*c^2 + 3*a^2*d^2)*Sqrt[a + b*x])/(3*b^2*d*(b*c - a*d)^3*(c + d*x)^(3/2)) + (4*c*(b^2*c^2 - 6*a*b*c*d - 3*a^2*d^2)*Sqrt[a + b*x])/(3*b*d*(b*c - a*d)^4*Sqrt[c + d*x])","A",4,4,22,0.1818,1,"{94, 89, 78, 37}"
808,1,186,0,0.1769273,"\int \frac{x^2}{(a+b x)^{5/2} (c+d x)^{5/2}} \, dx","Int[x^2/((a + b*x)^(5/2)*(c + d*x)^(5/2)),x]","\frac{4 \sqrt{a+b x} \left(a^2 d^2+6 a b c d+b^2 c^2\right)}{3 b \sqrt{c+d x} (b c-a d)^4}+\frac{2 \sqrt{a+b x} \left(a^2 d^2+6 a b c d+b^2 c^2\right)}{3 b^2 (c+d x)^{3/2} (b c-a d)^3}-\frac{2 a^2}{3 b^2 (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}+\frac{4 a c}{b \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}","\frac{4 \sqrt{a+b x} \left(a^2 d^2+6 a b c d+b^2 c^2\right)}{3 b \sqrt{c+d x} (b c-a d)^4}+\frac{2 \sqrt{a+b x} \left(a^2 d^2+6 a b c d+b^2 c^2\right)}{3 b^2 (c+d x)^{3/2} (b c-a d)^3}-\frac{2 a^2}{3 b^2 (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}+\frac{4 a c}{b \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}",1,"(-2*a^2)/(3*b^2*(b*c - a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2)) + (4*a*c)/(b*(b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(3/2)) + (2*(b^2*c^2 + 6*a*b*c*d + a^2*d^2)*Sqrt[a + b*x])/(3*b^2*(b*c - a*d)^3*(c + d*x)^(3/2)) + (4*(b^2*c^2 + 6*a*b*c*d + a^2*d^2)*Sqrt[a + b*x])/(3*b*(b*c - a*d)^4*Sqrt[c + d*x])","A",4,4,22,0.1818,1,"{89, 78, 45, 37}"
809,1,158,0,0.0550696,"\int \frac{x}{(a+b x)^{5/2} (c+d x)^{5/2}} \, dx","Int[x/((a + b*x)^(5/2)*(c + d*x)^(5/2)),x]","-\frac{2 c}{3 d (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}-\frac{16 d \sqrt{a+b x} (a d+b c)}{3 \sqrt{c+d x} (b c-a d)^4}-\frac{8 (a d+b c)}{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^3}+\frac{2 (a d+b c)}{3 d (a+b x)^{3/2} \sqrt{c+d x} (b c-a d)^2}","-\frac{2 c}{3 d (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}-\frac{16 d \sqrt{a+b x} (a d+b c)}{3 \sqrt{c+d x} (b c-a d)^4}-\frac{8 (a d+b c)}{3 \sqrt{a+b x} \sqrt{c+d x} (b c-a d)^3}+\frac{2 (a d+b c)}{3 d (a+b x)^{3/2} \sqrt{c+d x} (b c-a d)^2}",1,"(-2*c)/(3*d*(b*c - a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2)) + (2*(b*c + a*d))/(3*d*(b*c - a*d)^2*(a + b*x)^(3/2)*Sqrt[c + d*x]) - (8*(b*c + a*d))/(3*(b*c - a*d)^3*Sqrt[a + b*x]*Sqrt[c + d*x]) - (16*d*(b*c + a*d)*Sqrt[a + b*x])/(3*(b*c - a*d)^4*Sqrt[c + d*x])","A",4,3,20,0.1500,1,"{78, 45, 37}"
810,1,135,0,0.0327273,"\int \frac{1}{(a+b x)^{5/2} (c+d x)^{5/2}} \, dx","Int[1/((a + b*x)^(5/2)*(c + d*x)^(5/2)),x]","\frac{32 b d^2 \sqrt{a+b x}}{3 \sqrt{c+d x} (b c-a d)^4}+\frac{16 d^2 \sqrt{a+b x}}{3 (c+d x)^{3/2} (b c-a d)^3}+\frac{4 d}{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}-\frac{2}{3 (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}","\frac{32 b d^2 \sqrt{a+b x}}{3 \sqrt{c+d x} (b c-a d)^4}+\frac{16 d^2 \sqrt{a+b x}}{3 (c+d x)^{3/2} (b c-a d)^3}+\frac{4 d}{\sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}-\frac{2}{3 (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}",1,"-2/(3*(b*c - a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2)) + (4*d)/((b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(3/2)) + (16*d^2*Sqrt[a + b*x])/(3*(b*c - a*d)^3*(c + d*x)^(3/2)) + (32*b*d^2*Sqrt[a + b*x])/(3*(b*c - a*d)^4*Sqrt[c + d*x])","A",4,2,19,0.1053,1,"{45, 37}"
811,1,252,0,0.2590059,"\int \frac{1}{x (a+b x)^{5/2} (c+d x)^{5/2}} \, dx","Int[1/(x*(a + b*x)^(5/2)*(c + d*x)^(5/2)),x]","\frac{2 d \sqrt{a+b x} (a d+b c) \left(3 a^2 d^2-14 a b c d+3 b^2 c^2\right)}{3 a^2 c^2 \sqrt{c+d x} (b c-a d)^4}+\frac{2 d \sqrt{a+b x} \left(-a^2 d^2-10 a b c d+3 b^2 c^2\right)}{3 a^2 c (c+d x)^{3/2} (b c-a d)^3}-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{5/2} c^{5/2}}+\frac{2 b (b c-3 a d)}{a^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}+\frac{2 b}{3 a (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}","\frac{2 d \sqrt{a+b x} (a d+b c) \left(3 a^2 d^2-14 a b c d+3 b^2 c^2\right)}{3 a^2 c^2 \sqrt{c+d x} (b c-a d)^4}+\frac{2 d \sqrt{a+b x} \left(-a^2 d^2-10 a b c d+3 b^2 c^2\right)}{3 a^2 c (c+d x)^{3/2} (b c-a d)^3}-\frac{2 \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{5/2} c^{5/2}}+\frac{2 b (b c-3 a d)}{a^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}+\frac{2 b}{3 a (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}",1,"(2*b)/(3*a*(b*c - a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2)) + (2*b*(b*c - 3*a*d))/(a^2*(b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(3/2)) + (2*d*(3*b^2*c^2 - 10*a*b*c*d - a^2*d^2)*Sqrt[a + b*x])/(3*a^2*c*(b*c - a*d)^3*(c + d*x)^(3/2)) + (2*d*(b*c + a*d)*(3*b^2*c^2 - 14*a*b*c*d + 3*a^2*d^2)*Sqrt[a + b*x])/(3*a^2*c^2*(b*c - a*d)^4*Sqrt[c + d*x]) - (2*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(a^(5/2)*c^(5/2))","A",7,5,22,0.2273,1,"{104, 152, 12, 93, 208}"
812,1,352,0,0.3990749,"\int \frac{1}{x^2 (a+b x)^{5/2} (c+d x)^{5/2}} \, dx","Int[1/(x^2*(a + b*x)^(5/2)*(c + d*x)^(5/2)),x]","-\frac{d \sqrt{a+b x} \left(18 a^2 b^2 c^2 d^2-40 a^3 b c d^3+15 a^4 d^4-40 a b^3 c^3 d+15 b^4 c^4\right)}{3 a^3 c^3 \sqrt{c+d x} (b c-a d)^4}-\frac{d \sqrt{a+b x} \left(9 a^2 b c d^2-5 a^3 d^3-35 a b^2 c^2 d+15 b^3 c^3\right)}{3 a^3 c^2 (c+d x)^{3/2} (b c-a d)^3}-\frac{b \left(a^2 d^2-10 a b c d+5 b^2 c^2\right)}{a^3 c \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}+\frac{5 (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{7/2} c^{7/2}}-\frac{b (5 b c-3 a d)}{3 a^2 c (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}-\frac{1}{a c x (a+b x)^{3/2} (c+d x)^{3/2}}","-\frac{d \sqrt{a+b x} \left(18 a^2 b^2 c^2 d^2-40 a^3 b c d^3+15 a^4 d^4-40 a b^3 c^3 d+15 b^4 c^4\right)}{3 a^3 c^3 \sqrt{c+d x} (b c-a d)^4}-\frac{d \sqrt{a+b x} \left(9 a^2 b c d^2-5 a^3 d^3-35 a b^2 c^2 d+15 b^3 c^3\right)}{3 a^3 c^2 (c+d x)^{3/2} (b c-a d)^3}-\frac{b \left(a^2 d^2-10 a b c d+5 b^2 c^2\right)}{a^3 c \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}+\frac{5 (a d+b c) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{a^{7/2} c^{7/2}}-\frac{b (5 b c-3 a d)}{3 a^2 c (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}-\frac{1}{a c x (a+b x)^{3/2} (c+d x)^{3/2}}",1,"-(b*(5*b*c - 3*a*d))/(3*a^2*c*(b*c - a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2)) - 1/(a*c*x*(a + b*x)^(3/2)*(c + d*x)^(3/2)) - (b*(5*b^2*c^2 - 10*a*b*c*d + a^2*d^2))/(a^3*c*(b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(3/2)) - (d*(15*b^3*c^3 - 35*a*b^2*c^2*d + 9*a^2*b*c*d^2 - 5*a^3*d^3)*Sqrt[a + b*x])/(3*a^3*c^2*(b*c - a*d)^3*(c + d*x)^(3/2)) - (d*(15*b^4*c^4 - 40*a*b^3*c^3*d + 18*a^2*b^2*c^2*d^2 - 40*a^3*b*c*d^3 + 15*a^4*d^4)*Sqrt[a + b*x])/(3*a^3*c^3*(b*c - a*d)^4*Sqrt[c + d*x]) + (5*(b*c + a*d)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(a^(7/2)*c^(7/2))","A",8,5,22,0.2273,1,"{103, 152, 12, 93, 208}"
813,1,462,0,0.5559895,"\int \frac{1}{x^3 (a+b x)^{5/2} (c+d x)^{5/2}} \, dx","Int[1/(x^3*(a + b*x)^(5/2)*(c + d*x)^(5/2)),x]","\frac{d \sqrt{a+b x} \left(406 a^2 b^2 c^2 d^2-340 a^3 b c d^3+105 a^4 d^4-340 a b^3 c^3 d+105 b^4 c^4\right) (a d+b c)}{12 a^4 c^4 \sqrt{c+d x} (b c-a d)^4}+\frac{d \sqrt{a+b x} \left(18 a^2 b^2 c^2 d^2+48 a^3 b c d^3-35 a^4 d^4-200 a b^3 c^3 d+105 b^4 c^4\right)}{12 a^4 c^3 (c+d x)^{3/2} (b c-a d)^3}+\frac{b \left(-3 a^2 b c d^2+7 a^3 d^3-55 a b^2 c^2 d+35 b^3 c^3\right)}{4 a^4 c^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}+\frac{b \left(-21 a^2 d^2-6 a b c d+35 b^2 c^2\right)}{12 a^3 c^2 (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}-\frac{5 \left(7 a^2 d^2+10 a b c d+7 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{9/2} c^{9/2}}+\frac{7 (a d+b c)}{4 a^2 c^2 x (a+b x)^{3/2} (c+d x)^{3/2}}-\frac{1}{2 a c x^2 (a+b x)^{3/2} (c+d x)^{3/2}}","\frac{d \sqrt{a+b x} \left(406 a^2 b^2 c^2 d^2-340 a^3 b c d^3+105 a^4 d^4-340 a b^3 c^3 d+105 b^4 c^4\right) (a d+b c)}{12 a^4 c^4 \sqrt{c+d x} (b c-a d)^4}+\frac{d \sqrt{a+b x} \left(18 a^2 b^2 c^2 d^2+48 a^3 b c d^3-35 a^4 d^4-200 a b^3 c^3 d+105 b^4 c^4\right)}{12 a^4 c^3 (c+d x)^{3/2} (b c-a d)^3}+\frac{b \left(-3 a^2 b c d^2+7 a^3 d^3-55 a b^2 c^2 d+35 b^3 c^3\right)}{4 a^4 c^2 \sqrt{a+b x} (c+d x)^{3/2} (b c-a d)^2}+\frac{b \left(-21 a^2 d^2-6 a b c d+35 b^2 c^2\right)}{12 a^3 c^2 (a+b x)^{3/2} (c+d x)^{3/2} (b c-a d)}-\frac{5 \left(7 a^2 d^2+10 a b c d+7 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt{c} \sqrt{a+b x}}{\sqrt{a} \sqrt{c+d x}}\right)}{4 a^{9/2} c^{9/2}}+\frac{7 (a d+b c)}{4 a^2 c^2 x (a+b x)^{3/2} (c+d x)^{3/2}}-\frac{1}{2 a c x^2 (a+b x)^{3/2} (c+d x)^{3/2}}",1,"(b*(35*b^2*c^2 - 6*a*b*c*d - 21*a^2*d^2))/(12*a^3*c^2*(b*c - a*d)*(a + b*x)^(3/2)*(c + d*x)^(3/2)) - 1/(2*a*c*x^2*(a + b*x)^(3/2)*(c + d*x)^(3/2)) + (7*(b*c + a*d))/(4*a^2*c^2*x*(a + b*x)^(3/2)*(c + d*x)^(3/2)) + (b*(35*b^3*c^3 - 55*a*b^2*c^2*d - 3*a^2*b*c*d^2 + 7*a^3*d^3))/(4*a^4*c^2*(b*c - a*d)^2*Sqrt[a + b*x]*(c + d*x)^(3/2)) + (d*(105*b^4*c^4 - 200*a*b^3*c^3*d + 18*a^2*b^2*c^2*d^2 + 48*a^3*b*c*d^3 - 35*a^4*d^4)*Sqrt[a + b*x])/(12*a^4*c^3*(b*c - a*d)^3*(c + d*x)^(3/2)) + (d*(b*c + a*d)*(105*b^4*c^4 - 340*a*b^3*c^3*d + 406*a^2*b^2*c^2*d^2 - 340*a^3*b*c*d^3 + 105*a^4*d^4)*Sqrt[a + b*x])/(12*a^4*c^4*(b*c - a*d)^4*Sqrt[c + d*x]) - (5*(7*b^2*c^2 + 10*a*b*c*d + 7*a^2*d^2)*ArcTanh[(Sqrt[c]*Sqrt[a + b*x])/(Sqrt[a]*Sqrt[c + d*x])])/(4*a^(9/2)*c^(9/2))","A",9,6,22,0.2727,1,"{103, 151, 152, 12, 93, 208}"
814,1,28,0,0.0031723,"\int \frac{x^2 \sqrt{a+b x}}{\sqrt{-a-b x}} \, dx","Int[(x^2*Sqrt[a + b*x])/Sqrt[-a - b*x],x]","\frac{x^3 \sqrt{a+b x}}{3 \sqrt{-a-b x}}","\frac{x^3 \sqrt{a+b x}}{3 \sqrt{-a-b x}}",1,"(x^3*Sqrt[a + b*x])/(3*Sqrt[-a - b*x])","A",2,2,25,0.08000,1,"{23, 30}"
815,1,28,0,0.0032819,"\int \frac{x \sqrt{a+b x}}{\sqrt{-a-b x}} \, dx","Int[(x*Sqrt[a + b*x])/Sqrt[-a - b*x],x]","\frac{x^2 \sqrt{a+b x}}{2 \sqrt{-a-b x}}","\frac{x^2 \sqrt{a+b x}}{2 \sqrt{-a-b x}}",1,"(x^2*Sqrt[a + b*x])/(2*Sqrt[-a - b*x])","A",2,2,23,0.08696,1,"{23, 30}"
816,1,23,0,0.0026331,"\int \frac{\sqrt{a+b x}}{\sqrt{-a-b x}} \, dx","Int[Sqrt[a + b*x]/Sqrt[-a - b*x],x]","\frac{x \sqrt{a+b x}}{\sqrt{-a-b x}}","\frac{x \sqrt{a+b x}}{\sqrt{-a-b x}}",1,"(x*Sqrt[a + b*x])/Sqrt[-a - b*x]","A",2,2,22,0.09091,1,"{23, 8}"
817,1,24,0,0.0063245,"\int \frac{\sqrt{a+b x}}{x \sqrt{-a-b x}} \, dx","Int[Sqrt[a + b*x]/(x*Sqrt[-a - b*x]),x]","\frac{\log (x) \sqrt{a+b x}}{\sqrt{-a-b x}}","\frac{\log (x) \sqrt{a+b x}}{\sqrt{-a-b x}}",1,"(Sqrt[a + b*x]*Log[x])/Sqrt[-a - b*x]","A",2,2,25,0.08000,1,"{23, 29}"
818,1,26,0,0.0033106,"\int \frac{\sqrt{a+b x}}{x^2 \sqrt{-a-b x}} \, dx","Int[Sqrt[a + b*x]/(x^2*Sqrt[-a - b*x]),x]","-\frac{\sqrt{a+b x}}{x \sqrt{-a-b x}}","-\frac{\sqrt{a+b x}}{x \sqrt{-a-b x}}",1,"-(Sqrt[a + b*x]/(x*Sqrt[-a - b*x]))","A",2,2,25,0.08000,1,"{23, 30}"
819,1,28,0,0.0033396,"\int \frac{\sqrt{a+b x}}{x^3 \sqrt{-a-b x}} \, dx","Int[Sqrt[a + b*x]/(x^3*Sqrt[-a - b*x]),x]","-\frac{\sqrt{a+b x}}{2 x^2 \sqrt{-a-b x}}","-\frac{\sqrt{a+b x}}{2 x^2 \sqrt{-a-b x}}",1,"-Sqrt[a + b*x]/(2*x^2*Sqrt[-a - b*x])","A",2,2,25,0.08000,1,"{23, 30}"
820,1,36,0,0.006489,"\int \frac{x^{-m} \sqrt{a+b x}}{\sqrt{-a-b x}} \, dx","Int[Sqrt[a + b*x]/(x^m*Sqrt[-a - b*x]),x]","\frac{x^{1-m} \sqrt{a+b x}}{(1-m) \sqrt{-a-b x}}","\frac{x^{1-m} \sqrt{a+b x}}{(1-m) \sqrt{-a-b x}}",1,"(x^(1 - m)*Sqrt[a + b*x])/((1 - m)*Sqrt[-a - b*x])","A",2,2,27,0.07407,1,"{23, 30}"
821,1,26,0,0.0031433,"\int x^2 (-a-b x)^{-n} (a+b x)^n \, dx","Int[(x^2*(a + b*x)^n)/(-a - b*x)^n,x]","\frac{1}{3} x^3 (-a-b x)^{-n} (a+b x)^n","\frac{1}{3} x^3 (-a-b x)^{-n} (a+b x)^n",1,"(x^3*(a + b*x)^n)/(3*(-a - b*x)^n)","A",2,2,23,0.08696,1,"{23, 30}"
822,1,26,0,0.0030901,"\int x (-a-b x)^{-n} (a+b x)^n \, dx","Int[(x*(a + b*x)^n)/(-a - b*x)^n,x]","\frac{1}{2} x^2 (-a-b x)^{-n} (a+b x)^n","\frac{1}{2} x^2 (-a-b x)^{-n} (a+b x)^n",1,"(x^2*(a + b*x)^n)/(2*(-a - b*x)^n)","A",2,2,21,0.09524,1,"{23, 30}"
823,1,21,0,0.0026255,"\int (-a-b x)^{-n} (a+b x)^n \, dx","Int[(a + b*x)^n/(-a - b*x)^n,x]","x (-a-b x)^{-n} (a+b x)^n","x (-a-b x)^{-n} (a+b x)^n",1,"(x*(a + b*x)^n)/(-a - b*x)^n","A",2,2,20,0.1000,1,"{23, 8}"
824,1,22,0,0.0042418,"\int \frac{(-a-b x)^{-n} (a+b x)^n}{x} \, dx","Int[(a + b*x)^n/(x*(-a - b*x)^n),x]","\log (x) (-a-b x)^{-n} (a+b x)^n","\log (x) (-a-b x)^{-n} (a+b x)^n",1,"((a + b*x)^n*Log[x])/(-a - b*x)^n","A",2,2,23,0.08696,1,"{23, 29}"
825,1,24,0,0.0030462,"\int \frac{(-a-b x)^{-n} (a+b x)^n}{x^2} \, dx","Int[(a + b*x)^n/(x^2*(-a - b*x)^n),x]","-\frac{(-a-b x)^{-n} (a+b x)^n}{x}","-\frac{(-a-b x)^{-n} (a+b x)^n}{x}",1,"-((a + b*x)^n/(x*(-a - b*x)^n))","A",2,2,23,0.08696,1,"{23, 30}"
826,1,26,0,0.0030823,"\int \frac{(-a-b x)^{-n} (a+b x)^n}{x^3} \, dx","Int[(a + b*x)^n/(x^3*(-a - b*x)^n),x]","-\frac{(-a-b x)^{-n} (a+b x)^n}{2 x^2}","-\frac{(-a-b x)^{-n} (a+b x)^n}{2 x^2}",1,"-(a + b*x)^n/(2*x^2*(-a - b*x)^n)","A",2,2,23,0.08696,1,"{23, 30}"
827,1,34,0,0.0046255,"\int x^{-m} (-a-b x)^{-n} (a+b x)^n \, dx","Int[(a + b*x)^n/(x^m*(-a - b*x)^n),x]","\frac{x^{1-m} (-a-b x)^{-n} (a+b x)^n}{1-m}","\frac{x^{1-m} (-a-b x)^{-n} (a+b x)^n}{1-m}",1,"(x^(1 - m)*(a + b*x)^n)/((1 - m)*(-a - b*x)^n)","A",2,2,25,0.08000,1,"{23, 30}"
828,1,78,0,0.0149358,"\int \frac{x^3 \sqrt{1+x}}{(1-x)^{5/2}} \, dx","Int[(x^3*Sqrt[1 + x])/(1 - x)^(5/2),x]","\frac{2 \sqrt{x+1} x^3}{3 (1-x)^{3/2}}-\frac{13 \sqrt{x+1} x^2}{3 \sqrt{1-x}}-\frac{1}{6} \sqrt{1-x} \sqrt{x+1} (33 x+52)+\frac{11}{2} \sin ^{-1}(x)","\frac{2 \sqrt{x+1} x^3}{3 (1-x)^{3/2}}-\frac{13 \sqrt{x+1} x^2}{3 \sqrt{1-x}}-\frac{1}{6} \sqrt{1-x} \sqrt{x+1} (33 x+52)+\frac{11}{2} \sin ^{-1}(x)",1,"(-13*x^2*Sqrt[1 + x])/(3*Sqrt[1 - x]) + (2*x^3*Sqrt[1 + x])/(3*(1 - x)^(3/2)) - (Sqrt[1 - x]*Sqrt[1 + x]*(52 + 33*x))/6 + (11*ArcSin[x])/2","A",5,5,20,0.2500,1,"{97, 150, 147, 41, 216}"
829,1,61,0,0.0136305,"\int \frac{x^2 \sqrt{1+x}}{(1-x)^{5/2}} \, dx","Int[(x^2*Sqrt[1 + x])/(1 - x)^(5/2),x]","-\frac{2 (x+1)^{3/2}}{\sqrt{1-x}}+\frac{(x+1)^{3/2}}{3 (1-x)^{3/2}}-3 \sqrt{1-x} \sqrt{x+1}+3 \sin ^{-1}(x)","\frac{(x+1)^{3/2}}{3 (1-x)^{3/2}}-\sqrt{1-x} \sqrt{x+1}-\frac{4 \sqrt{x+1}}{\sqrt{1-x}}+3 \sin ^{-1}(x)",1,"-3*Sqrt[1 - x]*Sqrt[1 + x] + (1 + x)^(3/2)/(3*(1 - x)^(3/2)) - (2*(1 + x)^(3/2))/Sqrt[1 - x] + 3*ArcSin[x]","A",6,6,20,0.3000,1,"{89, 21, 47, 50, 41, 216}"
830,1,41,0,0.005062,"\int \frac{x \sqrt{1+x}}{(1-x)^{5/2}} \, dx","Int[(x*Sqrt[1 + x])/(1 - x)^(5/2),x]","\frac{(x+1)^{3/2}}{3 (1-x)^{3/2}}-\frac{2 \sqrt{x+1}}{\sqrt{1-x}}+\sin ^{-1}(x)","\frac{(x+1)^{3/2}}{3 (1-x)^{3/2}}-\frac{2 \sqrt{x+1}}{\sqrt{1-x}}+\sin ^{-1}(x)",1,"(-2*Sqrt[1 + x])/Sqrt[1 - x] + (1 + x)^(3/2)/(3*(1 - x)^(3/2)) + ArcSin[x]","A",4,4,18,0.2222,1,"{78, 47, 41, 216}"
831,1,20,0,0.0017524,"\int \frac{\sqrt{1+x}}{(1-x)^{5/2}} \, dx","Int[Sqrt[1 + x]/(1 - x)^(5/2),x]","\frac{(x+1)^{3/2}}{3 (1-x)^{3/2}}","\frac{(x+1)^{3/2}}{3 (1-x)^{3/2}}",1,"(1 + x)^(3/2)/(3*(1 - x)^(3/2))","A",1,1,17,0.05882,1,"{37}"
832,1,18,0,0.0013852,"\int \frac{\sqrt{1+x}}{(-1+x)^{5/2}} \, dx","Int[Sqrt[1 + x]/(-1 + x)^(5/2),x]","-\frac{(x+1)^{3/2}}{3 (x-1)^{3/2}}","-\frac{(x+1)^{3/2}}{3 (x-1)^{3/2}}",1,"-(1 + x)^(3/2)/(3*(-1 + x)^(3/2))","A",1,1,15,0.06667,1,"{37}"
833,1,59,0,0.0073131,"\int \frac{\sqrt{1+x}}{(1-x)^{5/2} x} \, dx","Int[Sqrt[1 + x]/((1 - x)^(5/2)*x),x]","\frac{(x+1)^{3/2}}{3 (1-x)^{3/2}}+\frac{2 \sqrt{x+1}}{\sqrt{1-x}}-\tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)","\frac{(x+1)^{3/2}}{3 (1-x)^{3/2}}+\frac{2 \sqrt{x+1}}{\sqrt{1-x}}-\tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)",1,"(2*Sqrt[1 + x])/Sqrt[1 - x] + (1 + x)^(3/2)/(3*(1 - x)^(3/2)) - ArcTanh[Sqrt[1 - x]*Sqrt[1 + x]]","A",4,4,20,0.2000,1,"{96, 94, 92, 206}"
834,1,87,0,0.0182755,"\int \frac{\sqrt{1+x}}{(1-x)^{5/2} x^2} \, dx","Int[Sqrt[1 + x]/((1 - x)^(5/2)*x^2),x]","\frac{14 \sqrt{x+1}}{3 \sqrt{1-x}}-\frac{5 \sqrt{x+1}}{3 \sqrt{1-x} x}+\frac{2 \sqrt{x+1}}{3 (1-x)^{3/2} x}-3 \tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)","\frac{14 \sqrt{x+1}}{3 \sqrt{1-x}}-\frac{5 \sqrt{x+1}}{3 \sqrt{1-x} x}+\frac{2 \sqrt{x+1}}{3 (1-x)^{3/2} x}-3 \tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)",1,"(14*Sqrt[1 + x])/(3*Sqrt[1 - x]) + (2*Sqrt[1 + x])/(3*(1 - x)^(3/2)*x) - (5*Sqrt[1 + x])/(3*Sqrt[1 - x]*x) - 3*ArcTanh[Sqrt[1 - x]*Sqrt[1 + x]]","A",6,6,20,0.3000,1,"{99, 151, 152, 12, 92, 206}"
835,1,112,0,0.025062,"\int \frac{\sqrt{1+x}}{(1-x)^{5/2} x^3} \, dx","Int[Sqrt[1 + x]/((1 - x)^(5/2)*x^3),x]","-\frac{7 \sqrt{x+1}}{6 \sqrt{1-x} x^2}+\frac{2 \sqrt{x+1}}{3 (1-x)^{3/2} x^2}+\frac{26 \sqrt{x+1}}{3 \sqrt{1-x}}-\frac{19 \sqrt{x+1}}{6 \sqrt{1-x} x}-\frac{11}{2} \tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)","-\frac{7 \sqrt{x+1}}{6 \sqrt{1-x} x^2}+\frac{2 \sqrt{x+1}}{3 (1-x)^{3/2} x^2}+\frac{26 \sqrt{x+1}}{3 \sqrt{1-x}}-\frac{19 \sqrt{x+1}}{6 \sqrt{1-x} x}-\frac{11}{2} \tanh ^{-1}\left(\sqrt{1-x} \sqrt{x+1}\right)",1,"(26*Sqrt[1 + x])/(3*Sqrt[1 - x]) + (2*Sqrt[1 + x])/(3*(1 - x)^(3/2)*x^2) - (7*Sqrt[1 + x])/(6*Sqrt[1 - x]*x^2) - (19*Sqrt[1 + x])/(6*Sqrt[1 - x]*x) - (11*ArcTanh[Sqrt[1 - x]*Sqrt[1 + x]])/2","A",7,6,20,0.3000,1,"{99, 151, 152, 12, 92, 206}"
836,1,26,0,0.0032451,"\int \frac{x^2}{\sqrt{-1+x} \sqrt{1+x}} \, dx","Int[x^2/(Sqrt[-1 + x]*Sqrt[1 + x]),x]","\frac{1}{2} \sqrt{x-1} \sqrt{x+1} x+\frac{1}{2} \cosh ^{-1}(x)","\frac{1}{2} \sqrt{x-1} \sqrt{x+1} x+\frac{1}{2} \cosh ^{-1}(x)",1,"(Sqrt[-1 + x]*x*Sqrt[1 + x])/2 + ArcCosh[x]/2","A",2,2,18,0.1111,1,"{90, 52}"
837,1,15,0,0.0023761,"\int \frac{x}{\sqrt{-1+x} \sqrt{1+x}} \, dx","Int[x/(Sqrt[-1 + x]*Sqrt[1 + x]),x]","\sqrt{x-1} \sqrt{x+1}","\sqrt{x-1} \sqrt{x+1}",1,"Sqrt[-1 + x]*Sqrt[1 + x]","A",1,1,16,0.06250,1,"{74}"
838,1,2,0,0.0011083,"\int \frac{1}{\sqrt{-1+x} \sqrt{1+x}} \, dx","Int[1/(Sqrt[-1 + x]*Sqrt[1 + x]),x]","\cosh ^{-1}(x)","\cosh ^{-1}(x)",1,"ArcCosh[x]","A",1,1,15,0.06667,1,"{52}"
839,1,16,0,0.0020829,"\int \frac{1}{\sqrt{-1+x} x \sqrt{1+x}} \, dx","Int[1/(Sqrt[-1 + x]*x*Sqrt[1 + x]),x]","\tan ^{-1}\left(\sqrt{x-1} \sqrt{x+1}\right)","\tan ^{-1}\left(\sqrt{x-1} \sqrt{x+1}\right)",1,"ArcTan[Sqrt[-1 + x]*Sqrt[1 + x]]","A",2,2,18,0.1111,1,"{92, 203}"
840,1,18,0,0.0019538,"\int \frac{1}{\sqrt{-1+x} x^2 \sqrt{1+x}} \, dx","Int[1/(Sqrt[-1 + x]*x^2*Sqrt[1 + x]),x]","\frac{\sqrt{x-1} \sqrt{x+1}}{x}","\frac{\sqrt{x-1} \sqrt{x+1}}{x}",1,"(Sqrt[-1 + x]*Sqrt[1 + x])/x","A",1,1,18,0.05556,1,"{95}"
841,1,45,0,0.0061312,"\int \sqrt{-1+x} x^2 \sqrt{1+x} \, dx","Int[Sqrt[-1 + x]*x^2*Sqrt[1 + x],x]","\frac{1}{4} (x-1)^{3/2} x (x+1)^{3/2}+\frac{1}{8} \sqrt{x-1} x \sqrt{x+1}-\frac{1}{8} \cosh ^{-1}(x)","\frac{1}{4} (x-1)^{3/2} x (x+1)^{3/2}+\frac{1}{8} \sqrt{x-1} x \sqrt{x+1}-\frac{1}{8} \cosh ^{-1}(x)",1,"(Sqrt[-1 + x]*x*Sqrt[1 + x])/8 + ((-1 + x)^(3/2)*x*(1 + x)^(3/2))/4 - ArcCosh[x]/8","A",3,3,18,0.1667,1,"{90, 38, 52}"
842,1,18,0,0.0014717,"\int \sqrt{-1+x} x \sqrt{1+x} \, dx","Int[Sqrt[-1 + x]*x*Sqrt[1 + x],x]","\frac{1}{3} (x-1)^{3/2} (x+1)^{3/2}","\frac{1}{3} (x-1)^{3/2} (x+1)^{3/2}",1,"((-1 + x)^(3/2)*(1 + x)^(3/2))/3","A",1,1,16,0.06250,1,"{74}"
843,1,26,0,0.002908,"\int \sqrt{-1+x} \sqrt{1+x} \, dx","Int[Sqrt[-1 + x]*Sqrt[1 + x],x]","\frac{1}{2} \sqrt{x-1} x \sqrt{x+1}-\frac{1}{2} \cosh ^{-1}(x)","\frac{1}{2} \sqrt{x-1} x \sqrt{x+1}-\frac{1}{2} \cosh ^{-1}(x)",1,"(Sqrt[-1 + x]*x*Sqrt[1 + x])/2 - ArcCosh[x]/2","A",2,2,15,0.1333,1,"{38, 52}"
844,1,34,0,0.004916,"\int \frac{\sqrt{-1+x} \sqrt{1+x}}{x} \, dx","Int[(Sqrt[-1 + x]*Sqrt[1 + x])/x,x]","\sqrt{x-1} \sqrt{x+1}-\tan ^{-1}\left(\sqrt{x-1} \sqrt{x+1}\right)","\sqrt{x-1} \sqrt{x+1}-\tan ^{-1}\left(\sqrt{x-1} \sqrt{x+1}\right)",1,"Sqrt[-1 + x]*Sqrt[1 + x] - ArcTan[Sqrt[-1 + x]*Sqrt[1 + x]]","A",3,3,18,0.1667,1,"{101, 92, 203}"
845,1,22,0,0.0041882,"\int \frac{\sqrt{-1+x} \sqrt{1+x}}{x^2} \, dx","Int[(Sqrt[-1 + x]*Sqrt[1 + x])/x^2,x]","\cosh ^{-1}(x)-\frac{\sqrt{x-1} \sqrt{x+1}}{x}","\cosh ^{-1}(x)-\frac{\sqrt{x-1} \sqrt{x+1}}{x}",1,"-((Sqrt[-1 + x]*Sqrt[1 + x])/x) + ArcCosh[x]","A",2,2,18,0.1111,1,"{97, 52}"
846,1,16,0,0.0052886,"\int \frac{1}{\sqrt{1+2 x} \sqrt{3+2 x}} \, dx","Int[1/(Sqrt[1 + 2*x]*Sqrt[3 + 2*x]),x]","\sinh ^{-1}\left(\frac{\sqrt{2 x+1}}{\sqrt{2}}\right)","\sinh ^{-1}\left(\frac{\sqrt{2 x+1}}{\sqrt{2}}\right)",1,"ArcSinh[Sqrt[1 + 2*x]/Sqrt[2]]","A",2,2,19,0.1053,1,"{54, 215}"
847,1,35,0,0.0079861,"\int \frac{1}{x \sqrt{-2+3 x} \sqrt{3+5 x}} \, dx","Int[1/(x*Sqrt[-2 + 3*x]*Sqrt[3 + 5*x]),x]","\sqrt{\frac{2}{3}} \tan ^{-1}\left(\frac{\sqrt{\frac{3}{2}} \sqrt{3 x-2}}{\sqrt{5 x+3}}\right)","\sqrt{\frac{2}{3}} \tan ^{-1}\left(\frac{\sqrt{\frac{3}{2}} \sqrt{3 x-2}}{\sqrt{5 x+3}}\right)",1,"Sqrt[2/3]*ArcTan[(Sqrt[3/2]*Sqrt[-2 + 3*x])/Sqrt[3 + 5*x]]","A",2,2,22,0.09091,1,"{93, 203}"
848,1,35,0,0.0051011,"\int \frac{1}{(-1+x)^{3/2} x (1+x)^{3/2}} \, dx","Int[1/((-1 + x)^(3/2)*x*(1 + x)^(3/2)),x]","-\frac{1}{\sqrt{x-1} \sqrt{x+1}}-\tan ^{-1}\left(\sqrt{x-1} \sqrt{x+1}\right)","-\frac{1}{\sqrt{x-1} \sqrt{x+1}}-\tan ^{-1}\left(\sqrt{x-1} \sqrt{x+1}\right)",1,"-(1/(Sqrt[-1 + x]*Sqrt[1 + x])) - ArcTan[Sqrt[-1 + x]*Sqrt[1 + x]]","A",3,3,18,0.1667,1,"{104, 92, 203}"
849,1,20,0,0.0016797,"\int \sqrt{1-x} x \sqrt{1+x} \, dx","Int[Sqrt[1 - x]*x*Sqrt[1 + x],x]","-\frac{1}{3} (1-x)^{3/2} (x+1)^{3/2}","-\frac{1}{3} (1-x)^{3/2} (x+1)^{3/2}",1,"-((1 - x)^(3/2)*(1 + x)^(3/2))/3","A",1,1,18,0.05556,1,"{74}"
850,1,146,0,0.0389412,"\int x^3 (2+3 x)^{3/2} \sqrt{1+4 x} \, dx","Int[x^3*(2 + 3*x)^(3/2)*Sqrt[1 + 4*x],x]","\frac{1}{72} x^2 (4 x+1)^{3/2} (3 x+2)^{5/2}+\frac{(4103-7968 x) (4 x+1)^{3/2} (3 x+2)^{5/2}}{829440}-\frac{8543 \sqrt{4 x+1} (3 x+2)^{5/2}}{995328}+\frac{42715 \sqrt{4 x+1} (3 x+2)^{3/2}}{15925248}+\frac{213575 \sqrt{4 x+1} \sqrt{3 x+2}}{42467328}+\frac{1067875 \sinh ^{-1}\left(\sqrt{\frac{3}{5}} \sqrt{4 x+1}\right)}{84934656 \sqrt{3}}","\frac{1}{72} x^2 (4 x+1)^{3/2} (3 x+2)^{5/2}+\frac{(4103-7968 x) (4 x+1)^{3/2} (3 x+2)^{5/2}}{829440}-\frac{8543 \sqrt{4 x+1} (3 x+2)^{5/2}}{995328}+\frac{42715 \sqrt{4 x+1} (3 x+2)^{3/2}}{15925248}+\frac{213575 \sqrt{4 x+1} \sqrt{3 x+2}}{42467328}+\frac{1067875 \sinh ^{-1}\left(\sqrt{\frac{3}{5}} \sqrt{4 x+1}\right)}{84934656 \sqrt{3}}",1,"(213575*Sqrt[2 + 3*x]*Sqrt[1 + 4*x])/42467328 + (42715*(2 + 3*x)^(3/2)*Sqrt[1 + 4*x])/15925248 - (8543*(2 + 3*x)^(5/2)*Sqrt[1 + 4*x])/995328 + ((4103 - 7968*x)*(2 + 3*x)^(5/2)*(1 + 4*x)^(3/2))/829440 + (x^2*(2 + 3*x)^(5/2)*(1 + 4*x)^(3/2))/72 + (1067875*ArcSinh[Sqrt[3/5]*Sqrt[1 + 4*x]])/(84934656*Sqrt[3])","A",7,5,22,0.2273,1,"{100, 147, 50, 54, 215}"
851,1,22,0,0.0074095,"\int \frac{1}{\sqrt{-1+a+b x} \sqrt{1+a+b x}} \, dx","Int[1/(Sqrt[-1 + a + b*x]*Sqrt[1 + a + b*x]),x]","\frac{2 \sinh ^{-1}\left(\frac{\sqrt{a+b x-1}}{\sqrt{2}}\right)}{b}","\frac{2 \sinh ^{-1}\left(\frac{\sqrt{a+b x-1}}{\sqrt{2}}\right)}{b}",1,"(2*ArcSinh[Sqrt[-1 + a + b*x]/Sqrt[2]])/b","A",2,2,21,0.09524,1,"{63, 215}"
852,1,75,0,0.0208721,"\int \frac{1}{\sqrt{x} \sqrt{a-b x} \sqrt{a+b x}} \, dx","Int[1/(Sqrt[x]*Sqrt[a - b*x]*Sqrt[a + b*x]),x]","\frac{2 \sqrt{a} \sqrt{1-\frac{b x}{a}} \sqrt{\frac{b x}{a}+1} F\left(\left.\sin ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)\right|-1\right)}{\sqrt{b} \sqrt{a-b x} \sqrt{a+b x}}","\frac{2 \sqrt{a} \sqrt{1-\frac{b x}{a}} \sqrt{\frac{b x}{a}+1} F\left(\left.\sin ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{a}}\right)\right|-1\right)}{\sqrt{b} \sqrt{a-b x} \sqrt{a+b x}}",1,"(2*Sqrt[a]*Sqrt[1 - (b*x)/a]*Sqrt[1 + (b*x)/a]*EllipticF[ArcSin[(Sqrt[b]*Sqrt[x])/Sqrt[a]], -1])/(Sqrt[b]*Sqrt[a - b*x]*Sqrt[a + b*x])","A",2,2,25,0.08000,1,"{117, 116}"
853,1,77,0,0.0211199,"\int \frac{1}{\sqrt{-x} \sqrt{a-b x} \sqrt{a+b x}} \, dx","Int[1/(Sqrt[-x]*Sqrt[a - b*x]*Sqrt[a + b*x]),x]","-\frac{2 \sqrt{a} \sqrt{1-\frac{b x}{a}} \sqrt{\frac{b x}{a}+1} F\left(\left.\sin ^{-1}\left(\frac{\sqrt{b} \sqrt{-x}}{\sqrt{a}}\right)\right|-1\right)}{\sqrt{b} \sqrt{a-b x} \sqrt{a+b x}}","-\frac{2 \sqrt{a} \sqrt{1-\frac{b x}{a}} \sqrt{\frac{b x}{a}+1} F\left(\left.\sin ^{-1}\left(\frac{\sqrt{b} \sqrt{-x}}{\sqrt{a}}\right)\right|-1\right)}{\sqrt{b} \sqrt{a-b x} \sqrt{a+b x}}",1,"(-2*Sqrt[a]*Sqrt[1 - (b*x)/a]*Sqrt[1 + (b*x)/a]*EllipticF[ArcSin[(Sqrt[b]*Sqrt[-x])/Sqrt[a]], -1])/(Sqrt[b]*Sqrt[a - b*x]*Sqrt[a + b*x])","A",2,2,27,0.07407,1,"{117, 116}"
854,1,87,0,0.0307264,"\int \frac{1}{\sqrt{e x} \sqrt{a-b x} \sqrt{a+b x}} \, dx","Int[1/(Sqrt[e*x]*Sqrt[a - b*x]*Sqrt[a + b*x]),x]","\frac{2 \sqrt{a} \sqrt{1-\frac{b x}{a}} \sqrt{\frac{b x}{a}+1} F\left(\left.\sin ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)\right|-1\right)}{\sqrt{b} \sqrt{e} \sqrt{a-b x} \sqrt{a+b x}}","\frac{2 \sqrt{a} \sqrt{1-\frac{b x}{a}} \sqrt{\frac{b x}{a}+1} F\left(\left.\sin ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{a} \sqrt{e}}\right)\right|-1\right)}{\sqrt{b} \sqrt{e} \sqrt{a-b x} \sqrt{a+b x}}",1,"(2*Sqrt[a]*Sqrt[1 - (b*x)/a]*Sqrt[1 + (b*x)/a]*EllipticF[ArcSin[(Sqrt[b]*Sqrt[e*x])/(Sqrt[a]*Sqrt[e])], -1])/(Sqrt[b]*Sqrt[e]*Sqrt[a - b*x]*Sqrt[a + b*x])","A",2,2,27,0.07407,1,"{117, 116}"
855,1,30,0,0.0077255,"\int \frac{1}{\sqrt{x} \sqrt{2-b x} \sqrt{2+b x}} \, dx","Int[1/(Sqrt[x]*Sqrt[2 - b*x]*Sqrt[2 + b*x]),x]","\frac{\sqrt{2} F\left(\left.\sin ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{2}}\right)\right|-1\right)}{\sqrt{b}}","\frac{\sqrt{2} F\left(\left.\sin ^{-1}\left(\frac{\sqrt{b} \sqrt{x}}{\sqrt{2}}\right)\right|-1\right)}{\sqrt{b}}",1,"(Sqrt[2]*EllipticF[ArcSin[(Sqrt[b]*Sqrt[x])/Sqrt[2]], -1])/Sqrt[b]","A",1,1,25,0.04000,1,"{116}"
856,1,33,0,0.0077165,"\int \frac{1}{\sqrt{-x} \sqrt{2-b x} \sqrt{2+b x}} \, dx","Int[1/(Sqrt[-x]*Sqrt[2 - b*x]*Sqrt[2 + b*x]),x]","-\frac{\sqrt{2} F\left(\left.\sin ^{-1}\left(\frac{\sqrt{b} \sqrt{-x}}{\sqrt{2}}\right)\right|-1\right)}{\sqrt{b}}","-\frac{\sqrt{2} F\left(\left.\sin ^{-1}\left(\frac{\sqrt{b} \sqrt{-x}}{\sqrt{2}}\right)\right|-1\right)}{\sqrt{b}}",1,"-((Sqrt[2]*EllipticF[ArcSin[(Sqrt[b]*Sqrt[-x])/Sqrt[2]], -1])/Sqrt[b])","A",1,1,27,0.03704,1,"{116}"
857,1,42,0,0.0122834,"\int \frac{1}{\sqrt{e x} \sqrt{2-b x} \sqrt{2+b x}} \, dx","Int[1/(Sqrt[e*x]*Sqrt[2 - b*x]*Sqrt[2 + b*x]),x]","\frac{\sqrt{2} F\left(\left.\sin ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{2} \sqrt{e}}\right)\right|-1\right)}{\sqrt{b} \sqrt{e}}","\frac{\sqrt{2} F\left(\left.\sin ^{-1}\left(\frac{\sqrt{b} \sqrt{e x}}{\sqrt{2} \sqrt{e}}\right)\right|-1\right)}{\sqrt{b} \sqrt{e}}",1,"(Sqrt[2]*EllipticF[ArcSin[(Sqrt[b]*Sqrt[e*x])/(Sqrt[2]*Sqrt[e])], -1])/(Sqrt[b]*Sqrt[e])","A",1,1,27,0.03704,1,"{116}"
858,1,24,0,0.004738,"\int \frac{1}{\sqrt{2-3 x} \sqrt{x} \sqrt{2+3 x}} \, dx","Int[1/(Sqrt[2 - 3*x]*Sqrt[x]*Sqrt[2 + 3*x]),x]","\sqrt{\frac{2}{3}} F\left(\left.\sin ^{-1}\left(\sqrt{\frac{3}{2}} \sqrt{x}\right)\right|-1\right)","\sqrt{\frac{2}{3}} F\left(\left.\sin ^{-1}\left(\sqrt{\frac{3}{2}} \sqrt{x}\right)\right|-1\right)",1,"Sqrt[2/3]*EllipticF[ArcSin[Sqrt[3/2]*Sqrt[x]], -1]","A",1,1,24,0.04167,1,"{115}"
859,1,27,0,0.0050956,"\int \frac{1}{\sqrt{2-3 x} \sqrt{-x} \sqrt{2+3 x}} \, dx","Int[1/(Sqrt[2 - 3*x]*Sqrt[-x]*Sqrt[2 + 3*x]),x]","-\sqrt{\frac{2}{3}} F\left(\left.\sin ^{-1}\left(\sqrt{\frac{3}{2}} \sqrt{-x}\right)\right|-1\right)","-\sqrt{\frac{2}{3}} F\left(\left.\sin ^{-1}\left(\sqrt{\frac{3}{2}} \sqrt{-x}\right)\right|-1\right)",1,"-(Sqrt[2/3]*EllipticF[ArcSin[Sqrt[3/2]*Sqrt[-x]], -1])","A",1,1,26,0.03846,1,"{115}"
860,1,36,0,0.0101343,"\int \frac{1}{\sqrt{2-3 x} \sqrt{e x} \sqrt{2+3 x}} \, dx","Int[1/(Sqrt[2 - 3*x]*Sqrt[e*x]*Sqrt[2 + 3*x]),x]","\frac{\sqrt{\frac{2}{3}} F\left(\left.\sin ^{-1}\left(\frac{\sqrt{\frac{3}{2}} \sqrt{e x}}{\sqrt{e}}\right)\right|-1\right)}{\sqrt{e}}","\frac{\sqrt{\frac{2}{3}} F\left(\left.\sin ^{-1}\left(\frac{\sqrt{\frac{3}{2}} \sqrt{e x}}{\sqrt{e}}\right)\right|-1\right)}{\sqrt{e}}",1,"(Sqrt[2/3]*EllipticF[ArcSin[(Sqrt[3/2]*Sqrt[e*x])/Sqrt[e]], -1])/Sqrt[e]","A",1,1,26,0.03846,1,"{116}"
861,1,10,0,0.0037423,"\int \frac{1}{\sqrt{1-x} \sqrt{x} \sqrt{1+x}} \, dx","Int[1/(Sqrt[1 - x]*Sqrt[x]*Sqrt[1 + x]),x]","2 F\left(\left.\sin ^{-1}\left(\sqrt{x}\right)\right|-1\right)","2 F\left(\left.\sin ^{-1}\left(\sqrt{x}\right)\right|-1\right)",1,"2*EllipticF[ArcSin[Sqrt[x]], -1]","A",1,1,22,0.04545,1,"{115}"
862,1,10,0,0.0091625,"\int \frac{1}{\sqrt{1+x} \sqrt{x-x^2}} \, dx","Int[1/(Sqrt[1 + x]*Sqrt[x - x^2]),x]","2 F\left(\left.\sin ^{-1}\left(\sqrt{x}\right)\right|-1\right)","2 F\left(\left.\sin ^{-1}\left(\sqrt{x}\right)\right|-1\right)",1,"2*EllipticF[ArcSin[Sqrt[x]], -1]","A",2,2,19,0.1053,1,"{714, 115}"
863,1,33,0,0.0109767,"\int \frac{1}{\sqrt{b x} \sqrt{1-c x} \sqrt{1+c x}} \, dx","Int[1/(Sqrt[b*x]*Sqrt[1 - c*x]*Sqrt[1 + c*x]),x]","\frac{2 F\left(\left.\sin ^{-1}\left(\frac{\sqrt{c} \sqrt{b x}}{\sqrt{b}}\right)\right|-1\right)}{\sqrt{b} \sqrt{c}}","\frac{2 F\left(\left.\sin ^{-1}\left(\frac{\sqrt{c} \sqrt{b x}}{\sqrt{b}}\right)\right|-1\right)}{\sqrt{b} \sqrt{c}}",1,"(2*EllipticF[ArcSin[(Sqrt[c]*Sqrt[b*x])/Sqrt[b]], -1])/(Sqrt[b]*Sqrt[c])","A",1,1,27,0.03704,1,"{116}"
864,1,38,0,0.0089643,"\int \frac{1}{\sqrt{b x} \sqrt{1-c x} \sqrt{1+d x}} \, dx","Int[1/(Sqrt[b*x]*Sqrt[1 - c*x]*Sqrt[1 + d*x]),x]","\frac{2 F\left(\sin ^{-1}\left(\frac{\sqrt{c} \sqrt{b x}}{\sqrt{b}}\right)|-\frac{d}{c}\right)}{\sqrt{b} \sqrt{c}}","\frac{2 F\left(\sin ^{-1}\left(\frac{\sqrt{c} \sqrt{b x}}{\sqrt{b}}\right)|-\frac{d}{c}\right)}{\sqrt{b} \sqrt{c}}",1,"(2*EllipticF[ArcSin[(Sqrt[c]*Sqrt[b*x])/Sqrt[b]], -(d/c)])/(Sqrt[b]*Sqrt[c])","A",1,1,27,0.03704,1,"{116}"
865,1,10,0,0.003175,"\int \frac{\sqrt{1+x}}{\sqrt{1-x} \sqrt{x}} \, dx","Int[Sqrt[1 + x]/(Sqrt[1 - x]*Sqrt[x]),x]","2 E\left(\left.\sin ^{-1}\left(\sqrt{x}\right)\right|-1\right)","2 E\left(\left.\sin ^{-1}\left(\sqrt{x}\right)\right|-1\right)",1,"2*EllipticE[ArcSin[Sqrt[x]], -1]","A",1,1,22,0.04545,1,"{110}"
866,1,10,0,0.0091033,"\int \frac{\sqrt{1+x}}{\sqrt{x-x^2}} \, dx","Int[Sqrt[1 + x]/Sqrt[x - x^2],x]","2 E\left(\left.\sin ^{-1}\left(\sqrt{x}\right)\right|-1\right)","2 E\left(\left.\sin ^{-1}\left(\sqrt{x}\right)\right|-1\right)",1,"2*EllipticE[ArcSin[Sqrt[x]], -1]","A",2,2,19,0.1053,1,"{714, 110}"
867,1,33,0,0.008488,"\int \frac{\sqrt{1+c x}}{\sqrt{b x} \sqrt{1-c x}} \, dx","Int[Sqrt[1 + c*x]/(Sqrt[b*x]*Sqrt[1 - c*x]),x]","\frac{2 E\left(\left.\sin ^{-1}\left(\frac{\sqrt{c} \sqrt{b x}}{\sqrt{b}}\right)\right|-1\right)}{\sqrt{b} \sqrt{c}}","\frac{2 E\left(\left.\sin ^{-1}\left(\frac{\sqrt{c} \sqrt{b x}}{\sqrt{b}}\right)\right|-1\right)}{\sqrt{b} \sqrt{c}}",1,"(2*EllipticE[ArcSin[(Sqrt[c]*Sqrt[b*x])/Sqrt[b]], -1])/(Sqrt[b]*Sqrt[c])","A",1,1,27,0.03704,1,"{110}"
868,1,38,0,0.0096796,"\int \frac{\sqrt{1+c x}}{\sqrt{b x} \sqrt{1-d x}} \, dx","Int[Sqrt[1 + c*x]/(Sqrt[b*x]*Sqrt[1 - d*x]),x]","\frac{2 E\left(\sin ^{-1}\left(\frac{\sqrt{d} \sqrt{b x}}{\sqrt{b}}\right)|-\frac{c}{d}\right)}{\sqrt{b} \sqrt{d}}","\frac{2 E\left(\sin ^{-1}\left(\frac{\sqrt{d} \sqrt{b x}}{\sqrt{b}}\right)|-\frac{c}{d}\right)}{\sqrt{b} \sqrt{d}}",1,"(2*EllipticE[ArcSin[(Sqrt[d]*Sqrt[b*x])/Sqrt[b]], -(c/d)])/(Sqrt[b]*Sqrt[d])","A",1,1,27,0.03704,1,"{110}"
869,1,24,0,0.0080433,"\int \frac{\sqrt{1-x}}{\sqrt{x} \sqrt{1+x}} \, dx","Int[Sqrt[1 - x]/(Sqrt[x]*Sqrt[1 + x]),x]","-\frac{2 \sqrt{-x} E\left(\left.\sin ^{-1}\left(\sqrt{-x}\right)\right|-1\right)}{\sqrt{x}}","-\frac{2 \sqrt{-x} E\left(\left.\sin ^{-1}\left(\sqrt{-x}\right)\right|-1\right)}{\sqrt{x}}",1,"(-2*Sqrt[-x]*EllipticE[ArcSin[Sqrt[-x]], -1])/Sqrt[x]","A",2,2,22,0.09091,1,"{111, 110}"
870,1,49,0,0.0153987,"\int \frac{\sqrt{-1+\frac{1}{x}} \sqrt{\frac{1}{x}} \sqrt{x}}{\sqrt{1+x}} \, dx","Int[(Sqrt[-1 + x^(-1)]*Sqrt[x^(-1)]*Sqrt[x])/Sqrt[1 + x],x]","-\frac{2 \sqrt{\frac{1}{x}-1} \sqrt{\frac{1}{x}} \sqrt{-x} \sqrt{x} E\left(\left.\sin ^{-1}\left(\sqrt{-x}\right)\right|-1\right)}{\sqrt{1-x}}","-\frac{2 \sqrt{-x} E\left(\left.\sin ^{-1}\left(\sqrt{-x}\right)\right|-1\right)}{\sqrt{x}}",1,"(-2*Sqrt[-1 + x^(-1)]*Sqrt[x^(-1)]*Sqrt[-x]*Sqrt[x]*EllipticE[ArcSin[Sqrt[-x]], -1])/Sqrt[1 - x]","B",4,4,29,0.1379,1,"{15, 435, 111, 110}"
871,1,37,0,0.0217859,"\int \frac{\sqrt{1-c x}}{\sqrt{b x} \sqrt{1+c x}} \, dx","Int[Sqrt[1 - c*x]/(Sqrt[b*x]*Sqrt[1 + c*x]),x]","-\frac{2 E\left(\left.\sin ^{-1}\left(\frac{\sqrt{c} \sqrt{b x}}{\sqrt{-b}}\right)\right|-1\right)}{\sqrt{-b} \sqrt{c}}","-\frac{2 E\left(\left.\sin ^{-1}\left(\frac{\sqrt{c} \sqrt{b x}}{\sqrt{-b}}\right)\right|-1\right)}{\sqrt{-b} \sqrt{c}}",1,"(-2*EllipticE[ArcSin[(Sqrt[c]*Sqrt[b*x])/Sqrt[-b]], -1])/(Sqrt[-b]*Sqrt[c])","A",1,1,27,0.03704,1,"{110}"
872,1,42,0,0.0168393,"\int \frac{\sqrt{1-c x}}{\sqrt{b x} \sqrt{1+d x}} \, dx","Int[Sqrt[1 - c*x]/(Sqrt[b*x]*Sqrt[1 + d*x]),x]","-\frac{2 E\left(\sin ^{-1}\left(\frac{\sqrt{d} \sqrt{b x}}{\sqrt{-b}}\right)|-\frac{c}{d}\right)}{\sqrt{-b} \sqrt{d}}","-\frac{2 E\left(\sin ^{-1}\left(\frac{\sqrt{d} \sqrt{b x}}{\sqrt{-b}}\right)|-\frac{c}{d}\right)}{\sqrt{-b} \sqrt{d}}",1,"(-2*EllipticE[ArcSin[(Sqrt[d]*Sqrt[b*x])/Sqrt[-b]], -(c/d)])/(Sqrt[-b]*Sqrt[d])","A",1,1,27,0.03704,1,"{110}"
873,1,51,0,0.0137738,"\int \frac{1}{\sqrt{2-3 x} \sqrt{x} \sqrt{d+e x}} \, dx","Int[1/(Sqrt[2 - 3*x]*Sqrt[x]*Sqrt[d + e*x]),x]","\frac{2 \sqrt{\frac{e x}{d}+1} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{2}} \sqrt{x}\right)|-\frac{2 e}{3 d}\right)}{\sqrt{3} \sqrt{d+e x}}","\frac{2 \sqrt{\frac{e x}{d}+1} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{2}} \sqrt{x}\right)|-\frac{2 e}{3 d}\right)}{\sqrt{3} \sqrt{d+e x}}",1,"(2*Sqrt[1 + (e*x)/d]*EllipticF[ArcSin[Sqrt[3/2]*Sqrt[x]], (-2*e)/(3*d)])/(Sqrt[3]*Sqrt[d + e*x])","A",2,2,24,0.08333,1,"{117, 115}"
874,1,51,0,0.0122931,"\int \frac{\sqrt{d+e x}}{\sqrt{2-3 x} \sqrt{x}} \, dx","Int[Sqrt[d + e*x]/(Sqrt[2 - 3*x]*Sqrt[x]),x]","\frac{2 \sqrt{d+e x} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{2}} \sqrt{x}\right)|-\frac{2 e}{3 d}\right)}{\sqrt{3} \sqrt{\frac{e x}{d}+1}}","\frac{2 \sqrt{d+e x} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{2}} \sqrt{x}\right)|-\frac{2 e}{3 d}\right)}{\sqrt{3} \sqrt{\frac{e x}{d}+1}}",1,"(2*Sqrt[d + e*x]*EllipticE[ArcSin[Sqrt[3/2]*Sqrt[x]], (-2*e)/(3*d)])/(Sqrt[3]*Sqrt[1 + (e*x)/d])","A",2,2,24,0.08333,1,"{112, 110}"
875,1,752,0,0.6448828,"\int \frac{x^4}{\sqrt[3]{1-x} \sqrt[3]{2-x}} \, dx","Int[x^4/((1 - x)^(1/3)*(2 - x)^(1/3)),x]","\frac{3}{13} (1-x)^{2/3} (2-x)^{2/3} x^3+\frac{99}{130} (1-x)^{2/3} (2-x)^{2/3} x^2-\frac{891\ 2^{2/3} \sqrt{(3-2 x)^2} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2}}{91 (3-2 x) \sqrt[3]{1-x} \sqrt[3]{2-x} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)}-\frac{594 \sqrt[6]{2} 3^{3/4} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{91 (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{891 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{91 \sqrt[3]{2} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{27}{455} (1-x)^{2/3} (2-x)^{2/3} (34 x+89)","\frac{3}{13} (1-x)^{2/3} (2-x)^{2/3} x^3+\frac{99}{130} (1-x)^{2/3} (2-x)^{2/3} x^2-\frac{891\ 2^{2/3} \sqrt{(3-2 x)^2} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2}}{91 (3-2 x) \sqrt[3]{1-x} \sqrt[3]{2-x} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)}-\frac{594 \sqrt[6]{2} 3^{3/4} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{91 (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{891 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{91 \sqrt[3]{2} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{27}{455} (1-x)^{2/3} (2-x)^{2/3} (34 x+89)",1,"(99*(1 - x)^(2/3)*(2 - x)^(2/3)*x^2)/130 + (3*(1 - x)^(2/3)*(2 - x)^(2/3)*x^3)/13 + (27*(1 - x)^(2/3)*(2 - x)^(2/3)*(89 + 34*x))/455 - (891*2^(2/3)*Sqrt[(3 - 2*x)^2]*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3))/(91*(3 - 2*x)*(1 - x)^(1/3)*(2 - x)^(1/3)*(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))) + (891*3^(1/4)*Sqrt[2 - Sqrt[3]]*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3)*(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))*Sqrt[(1 - 2^(2/3)*(2 - 3*x + x^2)^(1/3) + 2*2^(1/3)*(2 - 3*x + x^2)^(2/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]*EllipticE[ArcSin[(1 - Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))], -7 - 4*Sqrt[3]])/(91*2^(1/3)*(3 - 2*x)*Sqrt[(3 - 2*x)^2]*(1 - x)^(1/3)*(2 - x)^(1/3)*Sqrt[(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]) - (594*2^(1/6)*3^(3/4)*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3)*(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))*Sqrt[(1 - 2^(2/3)*(2 - 3*x + x^2)^(1/3) + 2*2^(1/3)*(2 - 3*x + x^2)^(2/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]*EllipticF[ArcSin[(1 - Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))], -7 - 4*Sqrt[3]])/(91*(3 - 2*x)*Sqrt[(3 - 2*x)^2]*(1 - x)^(1/3)*(2 - x)^(1/3)*Sqrt[(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2])","A",8,8,22,0.3636,1,"{100, 153, 147, 61, 623, 303, 218, 1877}"
876,1,727,0,0.4549734,"\int \frac{x^3}{\sqrt[3]{1-x} \sqrt[3]{2-x}} \, dx","Int[x^3/((1 - x)^(1/3)*(2 - x)^(1/3)),x]","\frac{3}{10} (1-x)^{2/3} (2-x)^{2/3} x^2-\frac{81 \sqrt{(3-2 x)^2} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2}}{7 \sqrt[3]{2} (3-2 x) \sqrt[3]{1-x} \sqrt[3]{2-x} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)}-\frac{27 \sqrt[6]{2} 3^{3/4} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{7 (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{81 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{14 \sqrt[3]{2} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{9}{70} (1-x)^{2/3} (2-x)^{2/3} (8 x+23)","\frac{3}{10} (1-x)^{2/3} (2-x)^{2/3} x^2-\frac{81 \sqrt{(3-2 x)^2} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2}}{7 \sqrt[3]{2} (3-2 x) \sqrt[3]{1-x} \sqrt[3]{2-x} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)}-\frac{27 \sqrt[6]{2} 3^{3/4} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{7 (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{81 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{14 \sqrt[3]{2} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{9}{70} (1-x)^{2/3} (2-x)^{2/3} (8 x+23)",1,"(3*(1 - x)^(2/3)*(2 - x)^(2/3)*x^2)/10 + (9*(1 - x)^(2/3)*(2 - x)^(2/3)*(23 + 8*x))/70 - (81*Sqrt[(3 - 2*x)^2]*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3))/(7*2^(1/3)*(3 - 2*x)*(1 - x)^(1/3)*(2 - x)^(1/3)*(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))) + (81*3^(1/4)*Sqrt[2 - Sqrt[3]]*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3)*(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))*Sqrt[(1 - 2^(2/3)*(2 - 3*x + x^2)^(1/3) + 2*2^(1/3)*(2 - 3*x + x^2)^(2/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]*EllipticE[ArcSin[(1 - Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))], -7 - 4*Sqrt[3]])/(14*2^(1/3)*(3 - 2*x)*Sqrt[(3 - 2*x)^2]*(1 - x)^(1/3)*(2 - x)^(1/3)*Sqrt[(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]) - (27*2^(1/6)*3^(3/4)*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3)*(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))*Sqrt[(1 - 2^(2/3)*(2 - 3*x + x^2)^(1/3) + 2*2^(1/3)*(2 - 3*x + x^2)^(2/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]*EllipticF[ArcSin[(1 - Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))], -7 - 4*Sqrt[3]])/(7*(3 - 2*x)*Sqrt[(3 - 2*x)^2]*(1 - x)^(1/3)*(2 - x)^(1/3)*Sqrt[(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2])","A",7,7,22,0.3182,1,"{100, 147, 61, 623, 303, 218, 1877}"
877,1,720,0,0.4523046,"\int \frac{x^2}{\sqrt[3]{1-x} \sqrt[3]{2-x}} \, dx","Int[x^2/((1 - x)^(1/3)*(2 - x)^(1/3)),x]","-\frac{99 \sqrt{(3-2 x)^2} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2}}{14 \sqrt[3]{2} (3-2 x) \sqrt[3]{1-x} \sqrt[3]{2-x} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)}-\frac{33\ 3^{3/4} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{7\ 2^{5/6} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{99 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{28 \sqrt[3]{2} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{3}{7} (1-x)^{2/3} (2-x)^{2/3} x+\frac{45}{28} (1-x)^{2/3} (2-x)^{2/3}","-\frac{99 \sqrt{(3-2 x)^2} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2}}{14 \sqrt[3]{2} (3-2 x) \sqrt[3]{1-x} \sqrt[3]{2-x} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)}-\frac{33\ 3^{3/4} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{7\ 2^{5/6} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{99 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{28 \sqrt[3]{2} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{3}{7} (1-x)^{2/3} (2-x)^{2/3} x+\frac{45}{28} (1-x)^{2/3} (2-x)^{2/3}",1,"(45*(1 - x)^(2/3)*(2 - x)^(2/3))/28 + (3*(1 - x)^(2/3)*(2 - x)^(2/3)*x)/7 - (99*Sqrt[(3 - 2*x)^2]*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3))/(14*2^(1/3)*(3 - 2*x)*(1 - x)^(1/3)*(2 - x)^(1/3)*(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))) + (99*3^(1/4)*Sqrt[2 - Sqrt[3]]*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3)*(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))*Sqrt[(1 - 2^(2/3)*(2 - 3*x + x^2)^(1/3) + 2*2^(1/3)*(2 - 3*x + x^2)^(2/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]*EllipticE[ArcSin[(1 - Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))], -7 - 4*Sqrt[3]])/(28*2^(1/3)*(3 - 2*x)*Sqrt[(3 - 2*x)^2]*(1 - x)^(1/3)*(2 - x)^(1/3)*Sqrt[(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]) - (33*3^(3/4)*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3)*(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))*Sqrt[(1 - 2^(2/3)*(2 - 3*x + x^2)^(1/3) + 2*2^(1/3)*(2 - 3*x + x^2)^(2/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]*EllipticF[ArcSin[(1 - Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))], -7 - 4*Sqrt[3]])/(7*2^(5/6)*(3 - 2*x)*Sqrt[(3 - 2*x)^2]*(1 - x)^(1/3)*(2 - x)^(1/3)*Sqrt[(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2])","A",7,7,22,0.3182,1,"{90, 80, 61, 623, 303, 218, 1877}"
878,1,695,0,0.3686348,"\int \frac{x}{\sqrt[3]{1-x} \sqrt[3]{2-x}} \, dx","Int[x/((1 - x)^(1/3)*(2 - x)^(1/3)),x]","-\frac{9 \sqrt{(3-2 x)^2} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2}}{2 \sqrt[3]{2} (3-2 x) \sqrt[3]{1-x} \sqrt[3]{2-x} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)}-\frac{3\ 3^{3/4} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{2^{5/6} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{9 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{4 \sqrt[3]{2} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{3}{4} (1-x)^{2/3} (2-x)^{2/3}","-\frac{9 \sqrt{(3-2 x)^2} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2}}{2 \sqrt[3]{2} (3-2 x) \sqrt[3]{1-x} \sqrt[3]{2-x} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)}-\frac{3\ 3^{3/4} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{2^{5/6} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{9 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{4 \sqrt[3]{2} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{3}{4} (1-x)^{2/3} (2-x)^{2/3}",1,"(3*(1 - x)^(2/3)*(2 - x)^(2/3))/4 - (9*Sqrt[(3 - 2*x)^2]*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3))/(2*2^(1/3)*(3 - 2*x)*(1 - x)^(1/3)*(2 - x)^(1/3)*(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))) + (9*3^(1/4)*Sqrt[2 - Sqrt[3]]*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3)*(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))*Sqrt[(1 - 2^(2/3)*(2 - 3*x + x^2)^(1/3) + 2*2^(1/3)*(2 - 3*x + x^2)^(2/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]*EllipticE[ArcSin[(1 - Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))], -7 - 4*Sqrt[3]])/(4*2^(1/3)*(3 - 2*x)*Sqrt[(3 - 2*x)^2]*(1 - x)^(1/3)*(2 - x)^(1/3)*Sqrt[(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]) - (3*3^(3/4)*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3)*(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))*Sqrt[(1 - 2^(2/3)*(2 - 3*x + x^2)^(1/3) + 2*2^(1/3)*(2 - 3*x + x^2)^(2/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]*EllipticF[ArcSin[(1 - Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))], -7 - 4*Sqrt[3]])/(2^(5/6)*(3 - 2*x)*Sqrt[(3 - 2*x)^2]*(1 - x)^(1/3)*(2 - x)^(1/3)*Sqrt[(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2])","A",6,6,20,0.3000,1,"{80, 61, 623, 303, 218, 1877}"
879,1,671,0,0.2864128,"\int \frac{1}{\sqrt[3]{1-x} \sqrt[3]{2-x}} \, dx","Int[1/((1 - x)^(1/3)*(2 - x)^(1/3)),x]","-\frac{3 \sqrt{(3-2 x)^2} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2}}{\sqrt[3]{2} (3-2 x) \sqrt[3]{1-x} \sqrt[3]{2-x} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)}-\frac{\sqrt[6]{2} 3^{3/4} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{(3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{3 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{2 \sqrt[3]{2} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}","-\frac{3 \sqrt{(3-2 x)^2} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2}}{\sqrt[3]{2} (3-2 x) \sqrt[3]{1-x} \sqrt[3]{2-x} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)}-\frac{\sqrt[6]{2} 3^{3/4} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{(3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{3 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{2 \sqrt[3]{2} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}",1,"(-3*Sqrt[(3 - 2*x)^2]*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3))/(2^(1/3)*(3 - 2*x)*(1 - x)^(1/3)*(2 - x)^(1/3)*(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))) + (3*3^(1/4)*Sqrt[2 - Sqrt[3]]*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3)*(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))*Sqrt[(1 - 2^(2/3)*(2 - 3*x + x^2)^(1/3) + 2*2^(1/3)*(2 - 3*x + x^2)^(2/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]*EllipticE[ArcSin[(1 - Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))], -7 - 4*Sqrt[3]])/(2*2^(1/3)*(3 - 2*x)*Sqrt[(3 - 2*x)^2]*(1 - x)^(1/3)*(2 - x)^(1/3)*Sqrt[(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]) - (2^(1/6)*3^(3/4)*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3)*(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))*Sqrt[(1 - 2^(2/3)*(2 - 3*x + x^2)^(1/3) + 2*2^(1/3)*(2 - 3*x + x^2)^(2/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]*EllipticF[ArcSin[(1 - Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))], -7 - 4*Sqrt[3]])/((3 - 2*x)*Sqrt[(3 - 2*x)^2]*(1 - x)^(1/3)*(2 - x)^(1/3)*Sqrt[(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2])","A",5,5,19,0.2632,1,"{61, 623, 303, 218, 1877}"
880,1,99,0,0.0107965,"\int \frac{1}{\sqrt[3]{1-x} \sqrt[3]{2-x} x} \, dx","Int[1/((1 - x)^(1/3)*(2 - x)^(1/3)*x),x]","\frac{3 \log \left(\frac{(2-x)^{2/3}}{2^{2/3}}-\sqrt[3]{1-x}\right)}{4 \sqrt[3]{2}}-\frac{\log (x)}{2 \sqrt[3]{2}}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\sqrt[3]{2} (2-x)^{2/3}}{\sqrt{3} \sqrt[3]{1-x}}+\frac{1}{\sqrt{3}}\right)}{2 \sqrt[3]{2}}","\frac{3 \log \left(\frac{(2-x)^{2/3}}{2^{2/3}}-\sqrt[3]{1-x}\right)}{4 \sqrt[3]{2}}-\frac{\log (x)}{2 \sqrt[3]{2}}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\sqrt[3]{2} (2-x)^{2/3}}{\sqrt{3} \sqrt[3]{1-x}}+\frac{1}{\sqrt{3}}\right)}{2 \sqrt[3]{2}}",1,"-(Sqrt[3]*ArcTan[1/Sqrt[3] + (2^(1/3)*(2 - x)^(2/3))/(Sqrt[3]*(1 - x)^(1/3))])/(2*2^(1/3)) + (3*Log[-(1 - x)^(1/3) + (2 - x)^(2/3)/2^(2/3)])/(4*2^(1/3)) - Log[x]/(2*2^(1/3))","A",1,1,22,0.04545,1,"{123}"
881,1,796,0,0.4741262,"\int \frac{1}{\sqrt[3]{1-x} \sqrt[3]{2-x} x^2} \, dx","Int[1/((1 - x)^(1/3)*(2 - x)^(1/3)*x^2),x]","-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\sqrt[3]{2} (2-x)^{2/3}}{\sqrt{3} \sqrt[3]{1-x}}+\frac{1}{\sqrt{3}}\right)}{4 \sqrt[3]{2}}+\frac{\sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{4 \sqrt[3]{2} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}-\frac{\sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{2^{5/6} \sqrt[4]{3} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{3 \log \left(\frac{(2-x)^{2/3}}{2^{2/3}}-\sqrt[3]{1-x}\right)}{8 \sqrt[3]{2}}-\frac{\log (x)}{4 \sqrt[3]{2}}-\frac{(1-x)^{2/3} (2-x)^{2/3}}{2 x}-\frac{\sqrt{(3-2 x)^2} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2}}{2 \sqrt[3]{2} (3-2 x) \sqrt[3]{1-x} \sqrt[3]{2-x} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)}","-\frac{\sqrt{3} \tan ^{-1}\left(\frac{\sqrt[3]{2} (2-x)^{2/3}}{\sqrt{3} \sqrt[3]{1-x}}+\frac{1}{\sqrt{3}}\right)}{4 \sqrt[3]{2}}+\frac{\sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{4 \sqrt[3]{2} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}-\frac{\sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{2^{5/6} \sqrt[4]{3} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{3 \log \left(\frac{(2-x)^{2/3}}{2^{2/3}}-\sqrt[3]{1-x}\right)}{8 \sqrt[3]{2}}-\frac{\log (x)}{4 \sqrt[3]{2}}-\frac{(1-x)^{2/3} (2-x)^{2/3}}{2 x}-\frac{\sqrt{(3-2 x)^2} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2}}{2 \sqrt[3]{2} (3-2 x) \sqrt[3]{1-x} \sqrt[3]{2-x} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)}",1,"-((1 - x)^(2/3)*(2 - x)^(2/3))/(2*x) - (Sqrt[(3 - 2*x)^2]*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3))/(2*2^(1/3)*(3 - 2*x)*(1 - x)^(1/3)*(2 - x)^(1/3)*(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))) - (Sqrt[3]*ArcTan[1/Sqrt[3] + (2^(1/3)*(2 - x)^(2/3))/(Sqrt[3]*(1 - x)^(1/3))])/(4*2^(1/3)) + (3^(1/4)*Sqrt[2 - Sqrt[3]]*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3)*(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))*Sqrt[(1 - 2^(2/3)*(2 - 3*x + x^2)^(1/3) + 2*2^(1/3)*(2 - 3*x + x^2)^(2/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]*EllipticE[ArcSin[(1 - Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))], -7 - 4*Sqrt[3]])/(4*2^(1/3)*(3 - 2*x)*Sqrt[(3 - 2*x)^2]*(1 - x)^(1/3)*(2 - x)^(1/3)*Sqrt[(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]) - (Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3)*(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))*Sqrt[(1 - 2^(2/3)*(2 - 3*x + x^2)^(1/3) + 2*2^(1/3)*(2 - 3*x + x^2)^(2/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]*EllipticF[ArcSin[(1 - Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))], -7 - 4*Sqrt[3]])/(2^(5/6)*3^(1/4)*(3 - 2*x)*Sqrt[(3 - 2*x)^2]*(1 - x)^(1/3)*(2 - x)^(1/3)*Sqrt[(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]) + (3*Log[-(1 - x)^(1/3) + (2 - x)^(2/3)/2^(2/3)])/(8*2^(1/3)) - Log[x]/(4*2^(1/3))","A",8,8,22,0.3636,1,"{124, 157, 61, 623, 303, 218, 1877, 123}"
882,1,821,0,0.5702462,"\int \frac{1}{\sqrt[3]{1-x} \sqrt[3]{2-x} x^3} \, dx","Int[1/((1 - x)^(1/3)*(2 - x)^(1/3)*x^3),x]","-\frac{\tan ^{-1}\left(\frac{\sqrt[3]{2} (2-x)^{2/3}}{\sqrt{3} \sqrt[3]{1-x}}+\frac{1}{\sqrt{3}}\right)}{2 \sqrt[3]{2} \sqrt{3}}+\frac{\sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{4 \sqrt[3]{2} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}-\frac{\sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{2^{5/6} \sqrt[4]{3} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{\log \left(\frac{(2-x)^{2/3}}{2^{2/3}}-\sqrt[3]{1-x}\right)}{4 \sqrt[3]{2}}-\frac{\log (x)}{6 \sqrt[3]{2}}-\frac{(1-x)^{2/3} (2-x)^{2/3}}{2 x}-\frac{\sqrt{(3-2 x)^2} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2}}{2 \sqrt[3]{2} (3-2 x) \sqrt[3]{1-x} \sqrt[3]{2-x} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)}-\frac{(1-x)^{2/3} (2-x)^{2/3}}{4 x^2}","-\frac{\tan ^{-1}\left(\frac{\sqrt[3]{2} (2-x)^{2/3}}{\sqrt{3} \sqrt[3]{1-x}}+\frac{1}{\sqrt{3}}\right)}{2 \sqrt[3]{2} \sqrt{3}}+\frac{\sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} E\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{4 \sqrt[3]{2} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}-\frac{\sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+1\right) \sqrt{\frac{2 \sqrt[3]{2} \left(x^2-3 x+2\right)^{2/3}-2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}} F\left(\sin ^{-1}\left(\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}-\sqrt{3}+1}{2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1}\right)|-7-4 \sqrt{3}\right)}{2^{5/6} \sqrt[4]{3} (3-2 x) \sqrt{(3-2 x)^2} \sqrt[3]{1-x} \sqrt[3]{2-x} \sqrt{\frac{2^{2/3} \sqrt[3]{x^2-3 x+2}+1}{\left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)^2}}}+\frac{\log \left(\frac{(2-x)^{2/3}}{2^{2/3}}-\sqrt[3]{1-x}\right)}{4 \sqrt[3]{2}}-\frac{\log (x)}{6 \sqrt[3]{2}}-\frac{(1-x)^{2/3} (2-x)^{2/3}}{2 x}-\frac{\sqrt{(3-2 x)^2} \sqrt{(2 x-3)^2} \sqrt[3]{x^2-3 x+2}}{2 \sqrt[3]{2} (3-2 x) \sqrt[3]{1-x} \sqrt[3]{2-x} \left(2^{2/3} \sqrt[3]{x^2-3 x+2}+\sqrt{3}+1\right)}-\frac{(1-x)^{2/3} (2-x)^{2/3}}{4 x^2}",1,"-((1 - x)^(2/3)*(2 - x)^(2/3))/(4*x^2) - ((1 - x)^(2/3)*(2 - x)^(2/3))/(2*x) - (Sqrt[(3 - 2*x)^2]*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3))/(2*2^(1/3)*(3 - 2*x)*(1 - x)^(1/3)*(2 - x)^(1/3)*(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))) - ArcTan[1/Sqrt[3] + (2^(1/3)*(2 - x)^(2/3))/(Sqrt[3]*(1 - x)^(1/3))]/(2*2^(1/3)*Sqrt[3]) + (3^(1/4)*Sqrt[2 - Sqrt[3]]*Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3)*(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))*Sqrt[(1 - 2^(2/3)*(2 - 3*x + x^2)^(1/3) + 2*2^(1/3)*(2 - 3*x + x^2)^(2/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]*EllipticE[ArcSin[(1 - Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))], -7 - 4*Sqrt[3]])/(4*2^(1/3)*(3 - 2*x)*Sqrt[(3 - 2*x)^2]*(1 - x)^(1/3)*(2 - x)^(1/3)*Sqrt[(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]) - (Sqrt[(-3 + 2*x)^2]*(2 - 3*x + x^2)^(1/3)*(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))*Sqrt[(1 - 2^(2/3)*(2 - 3*x + x^2)^(1/3) + 2*2^(1/3)*(2 - 3*x + x^2)^(2/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]*EllipticF[ArcSin[(1 - Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))], -7 - 4*Sqrt[3]])/(2^(5/6)*3^(1/4)*(3 - 2*x)*Sqrt[(3 - 2*x)^2]*(1 - x)^(1/3)*(2 - x)^(1/3)*Sqrt[(1 + 2^(2/3)*(2 - 3*x + x^2)^(1/3))/(1 + Sqrt[3] + 2^(2/3)*(2 - 3*x + x^2)^(1/3))^2]) + Log[-(1 - x)^(1/3) + (2 - x)^(2/3)/2^(2/3)]/(4*2^(1/3)) - Log[x]/(6*2^(1/3))","A",9,9,22,0.4091,1,"{124, 151, 157, 61, 623, 303, 218, 1877, 123}"
883,1,340,0,0.2757614,"\int \frac{x^3 \sqrt[4]{a+b x}}{\sqrt[4]{c+d x}} \, dx","Int[(x^3*(a + b*x)^(1/4))/(c + d*x)^(1/4),x]","\frac{(a+b x)^{5/4} (c+d x)^{3/4} \left(77 a^2 d^2-8 b d x (11 a d+13 b c)+94 a b c d+117 b^2 c^2\right)}{384 b^3 d^3}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} \left(105 a^2 b c d^2+77 a^3 d^3+135 a b^2 c^2 d+195 b^3 c^3\right)}{512 b^3 d^4}+\frac{(b c-a d) \left(105 a^2 b c d^2+77 a^3 d^3+135 a b^2 c^2 d+195 b^3 c^3\right) \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{1024 b^{15/4} d^{17/4}}+\frac{(b c-a d) \left(105 a^2 b c d^2+77 a^3 d^3+135 a b^2 c^2 d+195 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{1024 b^{15/4} d^{17/4}}+\frac{x^2 (a+b x)^{5/4} (c+d x)^{3/4}}{4 b d}","\frac{(a+b x)^{5/4} (c+d x)^{3/4} \left(77 a^2 d^2-8 b d x (11 a d+13 b c)+94 a b c d+117 b^2 c^2\right)}{384 b^3 d^3}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} \left(105 a^2 b c d^2+77 a^3 d^3+135 a b^2 c^2 d+195 b^3 c^3\right)}{512 b^3 d^4}+\frac{(b c-a d) \left(105 a^2 b c d^2+77 a^3 d^3+135 a b^2 c^2 d+195 b^3 c^3\right) \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{1024 b^{15/4} d^{17/4}}+\frac{(b c-a d) \left(105 a^2 b c d^2+77 a^3 d^3+135 a b^2 c^2 d+195 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{1024 b^{15/4} d^{17/4}}+\frac{x^2 (a+b x)^{5/4} (c+d x)^{3/4}}{4 b d}",1,"-((195*b^3*c^3 + 135*a*b^2*c^2*d + 105*a^2*b*c*d^2 + 77*a^3*d^3)*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(512*b^3*d^4) + (x^2*(a + b*x)^(5/4)*(c + d*x)^(3/4))/(4*b*d) + ((a + b*x)^(5/4)*(c + d*x)^(3/4)*(117*b^2*c^2 + 94*a*b*c*d + 77*a^2*d^2 - 8*b*d*(13*b*c + 11*a*d)*x))/(384*b^3*d^3) + ((b*c - a*d)*(195*b^3*c^3 + 135*a*b^2*c^2*d + 105*a^2*b*c*d^2 + 77*a^3*d^3)*ArcTan[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(1024*b^(15/4)*d^(17/4)) + ((b*c - a*d)*(195*b^3*c^3 + 135*a*b^2*c^2*d + 105*a^2*b*c*d^2 + 77*a^3*d^3)*ArcTanh[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(1024*b^(15/4)*d^(17/4))","A",8,8,22,0.3636,1,"{100, 147, 50, 63, 240, 212, 208, 205}"
884,1,268,0,0.2496207,"\int \frac{x^2 \sqrt[4]{a+b x}}{\sqrt[4]{c+d x}} \, dx","Int[(x^2*(a + b*x)^(1/4))/(c + d*x)^(1/4),x]","\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} \left(7 a^2 d^2+10 a b c d+15 b^2 c^2\right)}{32 b^2 d^3}-\frac{(b c-a d) \left(7 a^2 d^2+10 a b c d+15 b^2 c^2\right) \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{64 b^{11/4} d^{13/4}}-\frac{(b c-a d) \left(7 a^2 d^2+10 a b c d+15 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{64 b^{11/4} d^{13/4}}-\frac{(a+b x)^{5/4} (c+d x)^{3/4} (7 a d+9 b c)}{24 b^2 d^2}+\frac{x (a+b x)^{5/4} (c+d x)^{3/4}}{3 b d}","\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} \left(7 a^2 d^2+10 a b c d+15 b^2 c^2\right)}{32 b^2 d^3}-\frac{(b c-a d) \left(7 a^2 d^2+10 a b c d+15 b^2 c^2\right) \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{64 b^{11/4} d^{13/4}}-\frac{(b c-a d) \left(7 a^2 d^2+10 a b c d+15 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{64 b^{11/4} d^{13/4}}-\frac{(a+b x)^{5/4} (c+d x)^{3/4} (7 a d+9 b c)}{24 b^2 d^2}+\frac{x (a+b x)^{5/4} (c+d x)^{3/4}}{3 b d}",1,"((15*b^2*c^2 + 10*a*b*c*d + 7*a^2*d^2)*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(32*b^2*d^3) - ((9*b*c + 7*a*d)*(a + b*x)^(5/4)*(c + d*x)^(3/4))/(24*b^2*d^2) + (x*(a + b*x)^(5/4)*(c + d*x)^(3/4))/(3*b*d) - ((b*c - a*d)*(15*b^2*c^2 + 10*a*b*c*d + 7*a^2*d^2)*ArcTan[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(64*b^(11/4)*d^(13/4)) - ((b*c - a*d)*(15*b^2*c^2 + 10*a*b*c*d + 7*a^2*d^2)*ArcTanh[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(64*b^(11/4)*d^(13/4))","A",8,8,22,0.3636,1,"{90, 80, 50, 63, 240, 212, 208, 205}"
885,1,188,0,0.1146198,"\int \frac{x \sqrt[4]{a+b x}}{\sqrt[4]{c+d x}} \, dx","Int[(x*(a + b*x)^(1/4))/(c + d*x)^(1/4),x]","\frac{(b c-a d) (3 a d+5 b c) \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{16 b^{7/4} d^{9/4}}+\frac{(b c-a d) (3 a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{16 b^{7/4} d^{9/4}}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (3 a d+5 b c)}{8 b d^2}+\frac{(a+b x)^{5/4} (c+d x)^{3/4}}{2 b d}","\frac{(b c-a d) (3 a d+5 b c) \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{16 b^{7/4} d^{9/4}}+\frac{(b c-a d) (3 a d+5 b c) \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{16 b^{7/4} d^{9/4}}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (3 a d+5 b c)}{8 b d^2}+\frac{(a+b x)^{5/4} (c+d x)^{3/4}}{2 b d}",1,"-((5*b*c + 3*a*d)*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(8*b*d^2) + ((a + b*x)^(5/4)*(c + d*x)^(3/4))/(2*b*d) + ((b*c - a*d)*(5*b*c + 3*a*d)*ArcTan[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(16*b^(7/4)*d^(9/4)) + ((b*c - a*d)*(5*b*c + 3*a*d)*ArcTanh[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(16*b^(7/4)*d^(9/4))","A",7,7,20,0.3500,1,"{80, 50, 63, 240, 212, 208, 205}"
886,1,127,0,0.0771903,"\int \frac{\sqrt[4]{a+b x}}{\sqrt[4]{c+d x}} \, dx","Int[(a + b*x)^(1/4)/(c + d*x)^(1/4),x]","-\frac{(b c-a d) \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{2 b^{3/4} d^{5/4}}-\frac{(b c-a d) \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{2 b^{3/4} d^{5/4}}+\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{d}","-\frac{(b c-a d) \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{2 b^{3/4} d^{5/4}}-\frac{(b c-a d) \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{2 b^{3/4} d^{5/4}}+\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{d}",1,"((a + b*x)^(1/4)*(c + d*x)^(3/4))/d - ((b*c - a*d)*ArcTan[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(2*b^(3/4)*d^(5/4)) - ((b*c - a*d)*ArcTanh[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(2*b^(3/4)*d^(5/4))","A",6,6,19,0.3158,1,"{50, 63, 240, 212, 208, 205}"
887,1,169,0,0.1175302,"\int \frac{\sqrt[4]{a+b x}}{x \sqrt[4]{c+d x}} \, dx","Int[(a + b*x)^(1/4)/(x*(c + d*x)^(1/4)),x]","-\frac{2 \sqrt[4]{a} \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{\sqrt[4]{c}}+\frac{2 \sqrt[4]{b} \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{\sqrt[4]{d}}-\frac{2 \sqrt[4]{a} \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{\sqrt[4]{c}}+\frac{2 \sqrt[4]{b} \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{\sqrt[4]{d}}","-\frac{2 \sqrt[4]{a} \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{\sqrt[4]{c}}+\frac{2 \sqrt[4]{b} \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{\sqrt[4]{d}}-\frac{2 \sqrt[4]{a} \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{\sqrt[4]{c}}+\frac{2 \sqrt[4]{b} \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{\sqrt[4]{d}}",1,"(-2*a^(1/4)*ArcTan[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/c^(1/4) + (2*b^(1/4)*ArcTan[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/d^(1/4) - (2*a^(1/4)*ArcTanh[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/c^(1/4) + (2*b^(1/4)*ArcTanh[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/d^(1/4)","A",10,7,22,0.3182,1,"{105, 63, 240, 212, 208, 205, 93}"
888,1,131,0,0.0565925,"\int \frac{\sqrt[4]{a+b x}}{x^2 \sqrt[4]{c+d x}} \, dx","Int[(a + b*x)^(1/4)/(x^2*(c + d*x)^(1/4)),x]","-\frac{(b c-a d) \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{2 a^{3/4} c^{5/4}}-\frac{(b c-a d) \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{2 a^{3/4} c^{5/4}}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{c x}","-\frac{(b c-a d) \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{2 a^{3/4} c^{5/4}}-\frac{(b c-a d) \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{2 a^{3/4} c^{5/4}}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{c x}",1,"-(((a + b*x)^(1/4)*(c + d*x)^(3/4))/(c*x)) - ((b*c - a*d)*ArcTan[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(2*a^(3/4)*c^(5/4)) - ((b*c - a*d)*ArcTanh[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(2*a^(3/4)*c^(5/4))","A",5,5,22,0.2273,1,"{94, 93, 212, 208, 205}"
889,1,194,0,0.0987722,"\int \frac{\sqrt[4]{a+b x}}{x^3 \sqrt[4]{c+d x}} \, dx","Int[(a + b*x)^(1/4)/(x^3*(c + d*x)^(1/4)),x]","\frac{(b c-a d) (5 a d+3 b c) \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{16 a^{7/4} c^{9/4}}+\frac{(b c-a d) (5 a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{16 a^{7/4} c^{9/4}}+\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (5 a d+3 b c)}{8 a c^2 x}-\frac{(a+b x)^{5/4} (c+d x)^{3/4}}{2 a c x^2}","\frac{(b c-a d) (5 a d+3 b c) \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{16 a^{7/4} c^{9/4}}+\frac{(b c-a d) (5 a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{16 a^{7/4} c^{9/4}}+\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (5 a d+3 b c)}{8 a c^2 x}-\frac{(a+b x)^{5/4} (c+d x)^{3/4}}{2 a c x^2}",1,"((3*b*c + 5*a*d)*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(8*a*c^2*x) - ((a + b*x)^(5/4)*(c + d*x)^(3/4))/(2*a*c*x^2) + ((b*c - a*d)*(3*b*c + 5*a*d)*ArcTan[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(16*a^(7/4)*c^(9/4)) + ((b*c - a*d)*(3*b*c + 5*a*d)*ArcTanh[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(16*a^(7/4)*c^(9/4))","A",6,6,22,0.2727,1,"{96, 94, 93, 212, 208, 205}"
890,1,266,0,0.2057144,"\int \frac{\sqrt[4]{a+b x}}{x^4 \sqrt[4]{c+d x}} \, dx","Int[(a + b*x)^(1/4)/(x^4*(c + d*x)^(1/4)),x]","-\frac{(b c-a d) \left(15 a^2 d^2+10 a b c d+7 b^2 c^2\right) \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{64 a^{11/4} c^{13/4}}-\frac{(b c-a d) \left(15 a^2 d^2+10 a b c d+7 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{64 a^{11/4} c^{13/4}}+\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (7 b c-15 a d) (3 a d+b c)}{96 a^2 c^3 x}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (b c-9 a d)}{24 a c^2 x^2}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{3 c x^3}","-\frac{(b c-a d) \left(15 a^2 d^2+10 a b c d+7 b^2 c^2\right) \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{64 a^{11/4} c^{13/4}}-\frac{(b c-a d) \left(15 a^2 d^2+10 a b c d+7 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{64 a^{11/4} c^{13/4}}+\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (7 b c-15 a d) (3 a d+b c)}{96 a^2 c^3 x}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (b c-9 a d)}{24 a c^2 x^2}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{3 c x^3}",1,"-((a + b*x)^(1/4)*(c + d*x)^(3/4))/(3*c*x^3) - ((b*c - 9*a*d)*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(24*a*c^2*x^2) + ((7*b*c - 15*a*d)*(b*c + 3*a*d)*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(96*a^2*c^3*x) - ((b*c - a*d)*(7*b^2*c^2 + 10*a*b*c*d + 15*a^2*d^2)*ArcTan[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(64*a^(11/4)*c^(13/4)) - ((b*c - a*d)*(7*b^2*c^2 + 10*a*b*c*d + 15*a^2*d^2)*ArcTanh[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(64*a^(11/4)*c^(13/4))","A",8,7,22,0.3182,1,"{99, 151, 12, 93, 212, 208, 205}"
891,1,368,0,0.3151876,"\int \frac{\sqrt[4]{a+b x}}{x^5 \sqrt[4]{c+d x}} \, dx","Int[(a + b*x)^(1/4)/(x^5*(c + d*x)^(1/4)),x]","\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} \left(-117 a^2 d^2+10 a b c d+11 b^2 c^2\right)}{384 a^2 c^3 x^2}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} \left(63 a^2 b c d^2-585 a^3 d^3+61 a b^2 c^2 d+77 b^3 c^3\right)}{1536 a^3 c^4 x}+\frac{(b c-a d) \left(135 a^2 b c d^2+195 a^3 d^3+105 a b^2 c^2 d+77 b^3 c^3\right) \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{1024 a^{15/4} c^{17/4}}+\frac{(b c-a d) \left(135 a^2 b c d^2+195 a^3 d^3+105 a b^2 c^2 d+77 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{1024 a^{15/4} c^{17/4}}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (b c-13 a d)}{48 a c^2 x^3}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{4 c x^4}","\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} \left(-117 a^2 d^2+10 a b c d+11 b^2 c^2\right)}{384 a^2 c^3 x^2}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} \left(63 a^2 b c d^2-585 a^3 d^3+61 a b^2 c^2 d+77 b^3 c^3\right)}{1536 a^3 c^4 x}+\frac{(b c-a d) \left(135 a^2 b c d^2+195 a^3 d^3+105 a b^2 c^2 d+77 b^3 c^3\right) \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{1024 a^{15/4} c^{17/4}}+\frac{(b c-a d) \left(135 a^2 b c d^2+195 a^3 d^3+105 a b^2 c^2 d+77 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{1024 a^{15/4} c^{17/4}}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (b c-13 a d)}{48 a c^2 x^3}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{4 c x^4}",1,"-((a + b*x)^(1/4)*(c + d*x)^(3/4))/(4*c*x^4) - ((b*c - 13*a*d)*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(48*a*c^2*x^3) + ((11*b^2*c^2 + 10*a*b*c*d - 117*a^2*d^2)*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(384*a^2*c^3*x^2) - ((77*b^3*c^3 + 61*a*b^2*c^2*d + 63*a^2*b*c*d^2 - 585*a^3*d^3)*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(1536*a^3*c^4*x) + ((b*c - a*d)*(77*b^3*c^3 + 105*a*b^2*c^2*d + 135*a^2*b*c*d^2 + 195*a^3*d^3)*ArcTan[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(1024*a^(15/4)*c^(17/4)) + ((b*c - a*d)*(77*b^3*c^3 + 105*a*b^2*c^2*d + 135*a^2*b*c*d^2 + 195*a^3*d^3)*ArcTanh[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(1024*a^(15/4)*c^(17/4))","A",9,7,22,0.3182,1,"{99, 151, 12, 93, 212, 208, 205}"
892,1,234,0,0.1554877,"\int \frac{x^2 \sqrt[4]{1+x}}{\sqrt[4]{1-x}} \, dx","Int[(x^2*(1 + x)^(1/4))/(1 - x)^(1/4),x]","-\frac{1}{3} (1-x)^{3/4} x (x+1)^{5/4}-\frac{1}{12} (1-x)^{3/4} (x+1)^{5/4}-\frac{3}{8} (1-x)^{3/4} \sqrt[4]{x+1}-\frac{3 \log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{16 \sqrt{2}}+\frac{3 \log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}+\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{16 \sqrt{2}}+\frac{3 \tan ^{-1}\left(1-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}\right)}{8 \sqrt{2}}-\frac{3 \tan ^{-1}\left(\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{8 \sqrt{2}}","-\frac{1}{3} (1-x)^{3/4} x (x+1)^{5/4}-\frac{1}{12} (1-x)^{3/4} (x+1)^{5/4}-\frac{3}{8} (1-x)^{3/4} \sqrt[4]{x+1}-\frac{3 \log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{16 \sqrt{2}}+\frac{3 \log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}+\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{16 \sqrt{2}}+\frac{3 \tan ^{-1}\left(1-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}\right)}{8 \sqrt{2}}-\frac{3 \tan ^{-1}\left(\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{8 \sqrt{2}}",1,"(-3*(1 - x)^(3/4)*(1 + x)^(1/4))/8 - ((1 - x)^(3/4)*(1 + x)^(5/4))/12 - ((1 - x)^(3/4)*x*(1 + x)^(5/4))/3 + (3*ArcTan[1 - (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)])/(8*Sqrt[2]) - (3*ArcTan[1 + (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)])/(8*Sqrt[2]) - (3*Log[1 + Sqrt[1 - x]/Sqrt[1 + x] - (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)])/(16*Sqrt[2]) + (3*Log[1 + Sqrt[1 - x]/Sqrt[1 + x] + (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)])/(16*Sqrt[2])","A",14,11,20,0.5500,1,"{90, 80, 50, 63, 331, 297, 1162, 617, 204, 1165, 628}"
893,1,213,0,0.1257676,"\int \frac{x \sqrt[4]{1+x}}{\sqrt[4]{1-x}} \, dx","Int[(x*(1 + x)^(1/4))/(1 - x)^(1/4),x]","-\frac{1}{2} (1-x)^{3/4} (x+1)^{5/4}-\frac{1}{4} (1-x)^{3/4} \sqrt[4]{x+1}-\frac{\log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{8 \sqrt{2}}+\frac{\log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}+\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{8 \sqrt{2}}+\frac{\tan ^{-1}\left(1-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}\right)}{4 \sqrt{2}}-\frac{\tan ^{-1}\left(\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{4 \sqrt{2}}","-\frac{1}{2} (1-x)^{3/4} (x+1)^{5/4}-\frac{1}{4} (1-x)^{3/4} \sqrt[4]{x+1}-\frac{\log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{8 \sqrt{2}}+\frac{\log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}+\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{8 \sqrt{2}}+\frac{\tan ^{-1}\left(1-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}\right)}{4 \sqrt{2}}-\frac{\tan ^{-1}\left(\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{4 \sqrt{2}}",1,"-((1 - x)^(3/4)*(1 + x)^(1/4))/4 - ((1 - x)^(3/4)*(1 + x)^(5/4))/2 + ArcTan[1 - (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)]/(4*Sqrt[2]) - ArcTan[1 + (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)]/(4*Sqrt[2]) - Log[1 + Sqrt[1 - x]/Sqrt[1 + x] - (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)]/(8*Sqrt[2]) + Log[1 + Sqrt[1 - x]/Sqrt[1 + x] + (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)]/(8*Sqrt[2])","A",13,10,18,0.5556,1,"{80, 50, 63, 331, 297, 1162, 617, 204, 1165, 628}"
894,1,186,0,0.1188197,"\int \frac{\sqrt[4]{1+x}}{\sqrt[4]{1-x}} \, dx","Int[(1 + x)^(1/4)/(1 - x)^(1/4),x]","-(1-x)^{3/4} \sqrt[4]{x+1}-\frac{\log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{2 \sqrt{2}}+\frac{\log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}+\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{2 \sqrt{2}}+\frac{\tan ^{-1}\left(1-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}\right)}{\sqrt{2}}-\frac{\tan ^{-1}\left(\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{\sqrt{2}}","-(1-x)^{3/4} \sqrt[4]{x+1}-\frac{\log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{2 \sqrt{2}}+\frac{\log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}+\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{2 \sqrt{2}}+\frac{\tan ^{-1}\left(1-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}\right)}{\sqrt{2}}-\frac{\tan ^{-1}\left(\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{\sqrt{2}}",1,"-((1 - x)^(3/4)*(1 + x)^(1/4)) + ArcTan[1 - (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)]/Sqrt[2] - ArcTan[1 + (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)]/Sqrt[2] - Log[1 + Sqrt[1 - x]/Sqrt[1 + x] - (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)]/(2*Sqrt[2]) + Log[1 + Sqrt[1 - x]/Sqrt[1 + x] + (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)]/(2*Sqrt[2])","A",12,9,17,0.5294,1,"{50, 63, 331, 297, 1162, 617, 204, 1165, 628}"
895,1,203,0,0.1079819,"\int \frac{\sqrt[4]{1+x}}{\sqrt[4]{1-x} x} \, dx","Int[(1 + x)^(1/4)/((1 - x)^(1/4)*x),x]","-\frac{\log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{\sqrt{2}}+\frac{\log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}+\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{\sqrt{2}}-2 \tan ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)+\sqrt{2} \tan ^{-1}\left(1-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}\right)-\sqrt{2} \tan ^{-1}\left(\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)-2 \tanh ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)","-\frac{\log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{\sqrt{2}}+\frac{\log \left(\frac{\sqrt{1-x}}{\sqrt{x+1}}+\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)}{\sqrt{2}}-2 \tan ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)+\sqrt{2} \tan ^{-1}\left(1-\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}\right)-\sqrt{2} \tan ^{-1}\left(\frac{\sqrt{2} \sqrt[4]{1-x}}{\sqrt[4]{x+1}}+1\right)-2 \tanh ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)",1,"-2*ArcTan[(1 + x)^(1/4)/(1 - x)^(1/4)] + Sqrt[2]*ArcTan[1 - (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)] - Sqrt[2]*ArcTan[1 + (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)] - 2*ArcTanh[(1 + x)^(1/4)/(1 - x)^(1/4)] - Log[1 + Sqrt[1 - x]/Sqrt[1 + x] - (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)]/Sqrt[2] + Log[1 + Sqrt[1 - x]/Sqrt[1 + x] + (Sqrt[2]*(1 - x)^(1/4))/(1 + x)^(1/4)]/Sqrt[2]","A",16,13,20,0.6500,1,"{105, 63, 331, 297, 1162, 617, 204, 1165, 628, 93, 212, 206, 203}"
896,1,62,0,0.0127445,"\int \frac{\sqrt[4]{1+x}}{\sqrt[4]{1-x} x^2} \, dx","Int[(1 + x)^(1/4)/((1 - x)^(1/4)*x^2),x]","-\frac{(1-x)^{3/4} \sqrt[4]{x+1}}{x}-\tan ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)-\tanh ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)","-\frac{(1-x)^{3/4} \sqrt[4]{x+1}}{x}-\tan ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)-\tanh ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)",1,"-(((1 - x)^(3/4)*(1 + x)^(1/4))/x) - ArcTan[(1 + x)^(1/4)/(1 - x)^(1/4)] - ArcTanh[(1 + x)^(1/4)/(1 - x)^(1/4)]","A",5,5,20,0.2500,1,"{94, 93, 212, 206, 203}"
897,1,91,0,0.019335,"\int \frac{\sqrt[4]{1+x}}{\sqrt[4]{1-x} x^3} \, dx","Int[(1 + x)^(1/4)/((1 - x)^(1/4)*x^3),x]","-\frac{(1-x)^{3/4} (x+1)^{5/4}}{2 x^2}-\frac{(1-x)^{3/4} \sqrt[4]{x+1}}{4 x}-\frac{1}{4} \tan ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)-\frac{1}{4} \tanh ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)","-\frac{(1-x)^{3/4} (x+1)^{5/4}}{2 x^2}-\frac{(1-x)^{3/4} \sqrt[4]{x+1}}{4 x}-\frac{1}{4} \tan ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)-\frac{1}{4} \tanh ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)",1,"-((1 - x)^(3/4)*(1 + x)^(1/4))/(4*x) - ((1 - x)^(3/4)*(1 + x)^(5/4))/(2*x^2) - ArcTan[(1 + x)^(1/4)/(1 - x)^(1/4)]/4 - ArcTanh[(1 + x)^(1/4)/(1 - x)^(1/4)]/4","A",6,6,20,0.3000,1,"{96, 94, 93, 212, 206, 203}"
898,1,114,0,0.0289435,"\int \frac{\sqrt[4]{1+x}}{\sqrt[4]{1-x} x^4} \, dx","Int[(1 + x)^(1/4)/((1 - x)^(1/4)*x^4),x]","-\frac{5 (1-x)^{3/4} \sqrt[4]{x+1}}{12 x^2}-\frac{(1-x)^{3/4} \sqrt[4]{x+1}}{3 x^3}-\frac{11 (1-x)^{3/4} \sqrt[4]{x+1}}{24 x}-\frac{3}{8} \tan ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)-\frac{3}{8} \tanh ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)","-\frac{5 (1-x)^{3/4} \sqrt[4]{x+1}}{12 x^2}-\frac{(1-x)^{3/4} \sqrt[4]{x+1}}{3 x^3}-\frac{11 (1-x)^{3/4} \sqrt[4]{x+1}}{24 x}-\frac{3}{8} \tan ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)-\frac{3}{8} \tanh ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)",1,"-((1 - x)^(3/4)*(1 + x)^(1/4))/(3*x^3) - (5*(1 - x)^(3/4)*(1 + x)^(1/4))/(12*x^2) - (11*(1 - x)^(3/4)*(1 + x)^(1/4))/(24*x) - (3*ArcTan[(1 + x)^(1/4)/(1 - x)^(1/4)])/8 - (3*ArcTanh[(1 + x)^(1/4)/(1 - x)^(1/4)])/8","A",8,7,20,0.3500,1,"{99, 151, 12, 93, 212, 206, 203}"
899,1,137,0,0.0376703,"\int \frac{\sqrt[4]{1+x}}{\sqrt[4]{1-x} x^5} \, dx","Int[(1 + x)^(1/4)/((1 - x)^(1/4)*x^5),x]","-\frac{29 (1-x)^{3/4} \sqrt[4]{x+1}}{96 x^2}-\frac{7 (1-x)^{3/4} \sqrt[4]{x+1}}{24 x^3}-\frac{(1-x)^{3/4} \sqrt[4]{x+1}}{4 x^4}-\frac{83 (1-x)^{3/4} \sqrt[4]{x+1}}{192 x}-\frac{11}{64} \tan ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)-\frac{11}{64} \tanh ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)","-\frac{29 (1-x)^{3/4} \sqrt[4]{x+1}}{96 x^2}-\frac{7 (1-x)^{3/4} \sqrt[4]{x+1}}{24 x^3}-\frac{(1-x)^{3/4} \sqrt[4]{x+1}}{4 x^4}-\frac{83 (1-x)^{3/4} \sqrt[4]{x+1}}{192 x}-\frac{11}{64} \tan ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)-\frac{11}{64} \tanh ^{-1}\left(\frac{\sqrt[4]{x+1}}{\sqrt[4]{1-x}}\right)",1,"-((1 - x)^(3/4)*(1 + x)^(1/4))/(4*x^4) - (7*(1 - x)^(3/4)*(1 + x)^(1/4))/(24*x^3) - (29*(1 - x)^(3/4)*(1 + x)^(1/4))/(96*x^2) - (83*(1 - x)^(3/4)*(1 + x)^(1/4))/(192*x) - (11*ArcTan[(1 + x)^(1/4)/(1 - x)^(1/4)])/64 - (11*ArcTanh[(1 + x)^(1/4)/(1 - x)^(1/4)])/64","A",9,7,20,0.3500,1,"{99, 151, 12, 93, 212, 206, 203}"
900,1,259,0,0.1837452,"\int \frac{x^3}{(a+b x)^{3/4} \sqrt[4]{c+d x}} \, dx","Int[x^3/((a + b*x)^(3/4)*(c + d*x)^(1/4)),x]","\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} \left(77 a^2 d^2-4 b d x (11 a d+9 b c)+54 a b c d+45 b^2 c^2\right)}{96 b^3 d^3}-\frac{\left(21 a^2 b c d^2+77 a^3 d^3+15 a b^2 c^2 d+15 b^3 c^3\right) \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{64 b^{15/4} d^{13/4}}-\frac{\left(21 a^2 b c d^2+77 a^3 d^3+15 a b^2 c^2 d+15 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{64 b^{15/4} d^{13/4}}+\frac{x^2 \sqrt[4]{a+b x} (c+d x)^{3/4}}{3 b d}","\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} \left(77 a^2 d^2-4 b d x (11 a d+9 b c)+54 a b c d+45 b^2 c^2\right)}{96 b^3 d^3}-\frac{\left(21 a^2 b c d^2+77 a^3 d^3+15 a b^2 c^2 d+15 b^3 c^3\right) \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{64 b^{15/4} d^{13/4}}-\frac{\left(21 a^2 b c d^2+77 a^3 d^3+15 a b^2 c^2 d+15 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{64 b^{15/4} d^{13/4}}+\frac{x^2 \sqrt[4]{a+b x} (c+d x)^{3/4}}{3 b d}",1,"(x^2*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(3*b*d) + ((a + b*x)^(1/4)*(c + d*x)^(3/4)*(45*b^2*c^2 + 54*a*b*c*d + 77*a^2*d^2 - 4*b*d*(9*b*c + 11*a*d)*x))/(96*b^3*d^3) - ((15*b^3*c^3 + 15*a*b^2*c^2*d + 21*a^2*b*c*d^2 + 77*a^3*d^3)*ArcTan[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(64*b^(15/4)*d^(13/4)) - ((15*b^3*c^3 + 15*a*b^2*c^2*d + 21*a^2*b*c*d^2 + 77*a^3*d^3)*ArcTanh[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(64*b^(15/4)*d^(13/4))","A",7,7,22,0.3182,1,"{100, 147, 63, 240, 212, 208, 205}"
901,1,201,0,0.1717856,"\int \frac{x^2}{(a+b x)^{3/4} \sqrt[4]{c+d x}} \, dx","Int[x^2/((a + b*x)^(3/4)*(c + d*x)^(1/4)),x]","\frac{\left(21 a^2 d^2+6 a b c d+5 b^2 c^2\right) \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{16 b^{11/4} d^{9/4}}+\frac{\left(21 a^2 d^2+6 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{16 b^{11/4} d^{9/4}}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (7 a d+5 b c)}{8 b^2 d^2}+\frac{x \sqrt[4]{a+b x} (c+d x)^{3/4}}{2 b d}","\frac{\left(21 a^2 d^2+6 a b c d+5 b^2 c^2\right) \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{16 b^{11/4} d^{9/4}}+\frac{\left(21 a^2 d^2+6 a b c d+5 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{16 b^{11/4} d^{9/4}}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (7 a d+5 b c)}{8 b^2 d^2}+\frac{x \sqrt[4]{a+b x} (c+d x)^{3/4}}{2 b d}",1,"-((5*b*c + 7*a*d)*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(8*b^2*d^2) + (x*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(2*b*d) + ((5*b^2*c^2 + 6*a*b*c*d + 21*a^2*d^2)*ArcTan[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(16*b^(11/4)*d^(9/4)) + ((5*b^2*c^2 + 6*a*b*c*d + 21*a^2*d^2)*ArcTanh[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(16*b^(11/4)*d^(9/4))","A",7,7,22,0.3182,1,"{90, 80, 63, 240, 212, 208, 205}"
902,1,130,0,0.0783379,"\int \frac{x}{(a+b x)^{3/4} \sqrt[4]{c+d x}} \, dx","Int[x/((a + b*x)^(3/4)*(c + d*x)^(1/4)),x]","-\frac{(3 a d+b c) \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{2 b^{7/4} d^{5/4}}-\frac{(3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{2 b^{7/4} d^{5/4}}+\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{b d}","-\frac{(3 a d+b c) \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{2 b^{7/4} d^{5/4}}-\frac{(3 a d+b c) \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{2 b^{7/4} d^{5/4}}+\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{b d}",1,"((a + b*x)^(1/4)*(c + d*x)^(3/4))/(b*d) - ((b*c + 3*a*d)*ArcTan[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(2*b^(7/4)*d^(5/4)) - ((b*c + 3*a*d)*ArcTanh[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(2*b^(7/4)*d^(5/4))","A",6,6,20,0.3000,1,"{80, 63, 240, 212, 208, 205}"
903,1,85,0,0.0542944,"\int \frac{1}{(a+b x)^{3/4} \sqrt[4]{c+d x}} \, dx","Int[1/((a + b*x)^(3/4)*(c + d*x)^(1/4)),x]","\frac{2 \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{b^{3/4} \sqrt[4]{d}}+\frac{2 \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{b^{3/4} \sqrt[4]{d}}","\frac{2 \tan ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{b^{3/4} \sqrt[4]{d}}+\frac{2 \tanh ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{a+b x}}{\sqrt[4]{b} \sqrt[4]{c+d x}}\right)}{b^{3/4} \sqrt[4]{d}}",1,"(2*ArcTan[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(b^(3/4)*d^(1/4)) + (2*ArcTanh[(d^(1/4)*(a + b*x)^(1/4))/(b^(1/4)*(c + d*x)^(1/4))])/(b^(3/4)*d^(1/4))","A",5,5,19,0.2632,1,"{63, 240, 212, 208, 205}"
904,1,85,0,0.0329855,"\int \frac{1}{x (a+b x)^{3/4} \sqrt[4]{c+d x}} \, dx","Int[1/(x*(a + b*x)^(3/4)*(c + d*x)^(1/4)),x]","-\frac{2 \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{a^{3/4} \sqrt[4]{c}}-\frac{2 \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{a^{3/4} \sqrt[4]{c}}","-\frac{2 \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{a^{3/4} \sqrt[4]{c}}-\frac{2 \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{a^{3/4} \sqrt[4]{c}}",1,"(-2*ArcTan[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(a^(3/4)*c^(1/4)) - (2*ArcTanh[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(a^(3/4)*c^(1/4))","A",4,4,22,0.1818,1,"{93, 212, 208, 205}"
905,1,134,0,0.0598347,"\int \frac{1}{x^2 (a+b x)^{3/4} \sqrt[4]{c+d x}} \, dx","Int[1/(x^2*(a + b*x)^(3/4)*(c + d*x)^(1/4)),x]","\frac{(a d+3 b c) \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{2 a^{7/4} c^{5/4}}+\frac{(a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{2 a^{7/4} c^{5/4}}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{a c x}","\frac{(a d+3 b c) \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{2 a^{7/4} c^{5/4}}+\frac{(a d+3 b c) \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{2 a^{7/4} c^{5/4}}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{a c x}",1,"-(((a + b*x)^(1/4)*(c + d*x)^(3/4))/(a*c*x)) + ((3*b*c + a*d)*ArcTan[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(2*a^(7/4)*c^(5/4)) + ((3*b*c + a*d)*ArcTanh[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(2*a^(7/4)*c^(5/4))","A",5,5,22,0.2273,1,"{96, 93, 212, 208, 205}"
906,1,206,0,0.1112043,"\int \frac{1}{x^3 (a+b x)^{3/4} \sqrt[4]{c+d x}} \, dx","Int[1/(x^3*(a + b*x)^(3/4)*(c + d*x)^(1/4)),x]","-\frac{\left(5 a^2 d^2+6 a b c d+21 b^2 c^2\right) \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{16 a^{11/4} c^{9/4}}-\frac{\left(5 a^2 d^2+6 a b c d+21 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{16 a^{11/4} c^{9/4}}+\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (5 a d+7 b c)}{8 a^2 c^2 x}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{2 a c x^2}","-\frac{\left(5 a^2 d^2+6 a b c d+21 b^2 c^2\right) \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{16 a^{11/4} c^{9/4}}-\frac{\left(5 a^2 d^2+6 a b c d+21 b^2 c^2\right) \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{16 a^{11/4} c^{9/4}}+\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (5 a d+7 b c)}{8 a^2 c^2 x}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{2 a c x^2}",1,"-((a + b*x)^(1/4)*(c + d*x)^(3/4))/(2*a*c*x^2) + ((7*b*c + 5*a*d)*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(8*a^2*c^2*x) - ((21*b^2*c^2 + 6*a*b*c*d + 5*a^2*d^2)*ArcTan[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(16*a^(11/4)*c^(9/4)) - ((21*b^2*c^2 + 6*a*b*c*d + 5*a^2*d^2)*ArcTanh[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(16*a^(11/4)*c^(9/4))","A",7,7,22,0.3182,1,"{129, 151, 12, 93, 212, 208, 205}"
907,1,288,0,0.2053081,"\int \frac{1}{x^4 (a+b x)^{3/4} \sqrt[4]{c+d x}} \, dx","Int[1/(x^4*(a + b*x)^(3/4)*(c + d*x)^(1/4)),x]","-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} \left(45 a^2 d^2+54 a b c d+77 b^2 c^2\right)}{96 a^3 c^3 x}+\frac{\left(15 a^2 b c d^2+15 a^3 d^3+21 a b^2 c^2 d+77 b^3 c^3\right) \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{64 a^{15/4} c^{13/4}}+\frac{\left(15 a^2 b c d^2+15 a^3 d^3+21 a b^2 c^2 d+77 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{64 a^{15/4} c^{13/4}}+\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (9 a d+11 b c)}{24 a^2 c^2 x^2}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{3 a c x^3}","-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} \left(45 a^2 d^2+54 a b c d+77 b^2 c^2\right)}{96 a^3 c^3 x}+\frac{\left(15 a^2 b c d^2+15 a^3 d^3+21 a b^2 c^2 d+77 b^3 c^3\right) \tan ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{64 a^{15/4} c^{13/4}}+\frac{\left(15 a^2 b c d^2+15 a^3 d^3+21 a b^2 c^2 d+77 b^3 c^3\right) \tanh ^{-1}\left(\frac{\sqrt[4]{c} \sqrt[4]{a+b x}}{\sqrt[4]{a} \sqrt[4]{c+d x}}\right)}{64 a^{15/4} c^{13/4}}+\frac{\sqrt[4]{a+b x} (c+d x)^{3/4} (9 a d+11 b c)}{24 a^2 c^2 x^2}-\frac{\sqrt[4]{a+b x} (c+d x)^{3/4}}{3 a c x^3}",1,"-((a + b*x)^(1/4)*(c + d*x)^(3/4))/(3*a*c*x^3) + ((11*b*c + 9*a*d)*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(24*a^2*c^2*x^2) - ((77*b^2*c^2 + 54*a*b*c*d + 45*a^2*d^2)*(a + b*x)^(1/4)*(c + d*x)^(3/4))/(96*a^3*c^3*x) + ((77*b^3*c^3 + 21*a*b^2*c^2*d + 15*a^2*b*c*d^2 + 15*a^3*d^3)*ArcTan[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(64*a^(15/4)*c^(13/4)) + ((77*b^3*c^3 + 21*a*b^2*c^2*d + 15*a^2*b*c*d^2 + 15*a^3*d^3)*ArcTanh[(c^(1/4)*(a + b*x)^(1/4))/(a^(1/4)*(c + d*x)^(1/4))])/(64*a^(15/4)*c^(13/4))","A",8,7,22,0.3182,1,"{129, 151, 12, 93, 212, 208, 205}"
908,1,244,0,0.2016081,"\int \frac{(e x)^{3/2}}{\sqrt[4]{1-x} \sqrt[4]{1+x}} \, dx","Int[(e*x)^(3/2)/((1 - x)^(1/4)*(1 + x)^(1/4)),x]","-\frac{e^{3/2} \log \left(\frac{\sqrt{e} x}{\sqrt{1-x^2}}-\frac{\sqrt{2} \sqrt{e x}}{\sqrt[4]{1-x^2}}+\sqrt{e}\right)}{8 \sqrt{2}}+\frac{e^{3/2} \log \left(\frac{\sqrt{e} x}{\sqrt{1-x^2}}+\frac{\sqrt{2} \sqrt{e x}}{\sqrt[4]{1-x^2}}+\sqrt{e}\right)}{8 \sqrt{2}}-\frac{e^{3/2} \tan ^{-1}\left(1-\frac{\sqrt{2} \sqrt{e x}}{\sqrt{e} \sqrt[4]{1-x^2}}\right)}{4 \sqrt{2}}+\frac{e^{3/2} \tan ^{-1}\left(\frac{\sqrt{2} \sqrt{e x}}{\sqrt{e} \sqrt[4]{1-x^2}}+1\right)}{4 \sqrt{2}}-\frac{1}{2} e \left(1-x^2\right)^{3/4} \sqrt{e x}","-\frac{e^{3/2} \log \left(\frac{\sqrt{e} x}{\sqrt{1-x^2}}-\frac{\sqrt{2} \sqrt{e x}}{\sqrt[4]{1-x^2}}+\sqrt{e}\right)}{8 \sqrt{2}}+\frac{e^{3/2} \log \left(\frac{\sqrt{e} x}{\sqrt{1-x^2}}+\frac{\sqrt{2} \sqrt{e x}}{\sqrt[4]{1-x^2}}+\sqrt{e}\right)}{8 \sqrt{2}}-\frac{e^{3/2} \tan ^{-1}\left(1-\frac{\sqrt{2} \sqrt{e x}}{\sqrt{e} \sqrt[4]{1-x^2}}\right)}{4 \sqrt{2}}+\frac{e^{3/2} \tan ^{-1}\left(\frac{\sqrt{2} \sqrt{e x}}{\sqrt{e} \sqrt[4]{1-x^2}}+1\right)}{4 \sqrt{2}}-\frac{1}{2} e \left(1-x^2\right)^{3/4} \sqrt{e x}",1,"-(e*Sqrt[e*x]*(1 - x^2)^(3/4))/2 - (e^(3/2)*ArcTan[1 - (Sqrt[2]*Sqrt[e*x])/(Sqrt[e]*(1 - x^2)^(1/4))])/(4*Sqrt[2]) + (e^(3/2)*ArcTan[1 + (Sqrt[2]*Sqrt[e*x])/(Sqrt[e]*(1 - x^2)^(1/4))])/(4*Sqrt[2]) - (e^(3/2)*Log[Sqrt[e] + (Sqrt[e]*x)/Sqrt[1 - x^2] - (Sqrt[2]*Sqrt[e*x])/(1 - x^2)^(1/4)])/(8*Sqrt[2]) + (e^(3/2)*Log[Sqrt[e] + (Sqrt[e]*x)/Sqrt[1 - x^2] + (Sqrt[2]*Sqrt[e*x])/(1 - x^2)^(1/4)])/(8*Sqrt[2])","A",13,10,24,0.4167,1,"{125, 321, 329, 240, 211, 1165, 628, 1162, 617, 204}"
909,1,216,0,0.1454571,"\int \frac{1}{\sqrt[4]{1-x} \sqrt{e x} \sqrt[4]{1+x}} \, dx","Int[1/((1 - x)^(1/4)*Sqrt[e*x]*(1 + x)^(1/4)),x]","-\frac{\log \left(\frac{\sqrt{e} x}{\sqrt{1-x^2}}-\frac{\sqrt{2} \sqrt{e x}}{\sqrt[4]{1-x^2}}+\sqrt{e}\right)}{2 \sqrt{2} \sqrt{e}}+\frac{\log \left(\frac{\sqrt{e} x}{\sqrt{1-x^2}}+\frac{\sqrt{2} \sqrt{e x}}{\sqrt[4]{1-x^2}}+\sqrt{e}\right)}{2 \sqrt{2} \sqrt{e}}-\frac{\tan ^{-1}\left(1-\frac{\sqrt{2} \sqrt{e x}}{\sqrt{e} \sqrt[4]{1-x^2}}\right)}{\sqrt{2} \sqrt{e}}+\frac{\tan ^{-1}\left(\frac{\sqrt{2} \sqrt{e x}}{\sqrt{e} \sqrt[4]{1-x^2}}+1\right)}{\sqrt{2} \sqrt{e}}","-\frac{\log \left(\frac{\sqrt{e} x}{\sqrt{1-x^2}}-\frac{\sqrt{2} \sqrt{e x}}{\sqrt[4]{1-x^2}}+\sqrt{e}\right)}{2 \sqrt{2} \sqrt{e}}+\frac{\log \left(\frac{\sqrt{e} x}{\sqrt{1-x^2}}+\frac{\sqrt{2} \sqrt{e x}}{\sqrt[4]{1-x^2}}+\sqrt{e}\right)}{2 \sqrt{2} \sqrt{e}}-\frac{\tan ^{-1}\left(1-\frac{\sqrt{2} \sqrt{e x}}{\sqrt{e} \sqrt[4]{1-x^2}}\right)}{\sqrt{2} \sqrt{e}}+\frac{\tan ^{-1}\left(\frac{\sqrt{2} \sqrt{e x}}{\sqrt{e} \sqrt[4]{1-x^2}}+1\right)}{\sqrt{2} \sqrt{e}}",1,"-(ArcTan[1 - (Sqrt[2]*Sqrt[e*x])/(Sqrt[e]*(1 - x^2)^(1/4))]/(Sqrt[2]*Sqrt[e])) + ArcTan[1 + (Sqrt[2]*Sqrt[e*x])/(Sqrt[e]*(1 - x^2)^(1/4))]/(Sqrt[2]*Sqrt[e]) - Log[Sqrt[e] + (Sqrt[e]*x)/Sqrt[1 - x^2] - (Sqrt[2]*Sqrt[e*x])/(1 - x^2)^(1/4)]/(2*Sqrt[2]*Sqrt[e]) + Log[Sqrt[e] + (Sqrt[e]*x)/Sqrt[1 - x^2] + (Sqrt[2]*Sqrt[e*x])/(1 - x^2)^(1/4)]/(2*Sqrt[2]*Sqrt[e])","A",12,9,24,0.3750,1,"{125, 329, 240, 211, 1165, 628, 1162, 617, 204}"
910,1,30,0,0.0038225,"\int \frac{1}{\sqrt[4]{1-x} (e x)^{5/2} \sqrt[4]{1+x}} \, dx","Int[1/((1 - x)^(1/4)*(e*x)^(5/2)*(1 + x)^(1/4)),x]","-\frac{2 (1-x)^{3/4} (x+1)^{3/4}}{3 e (e x)^{3/2}}","-\frac{2 (1-x)^{3/4} (x+1)^{3/4}}{3 e (e x)^{3/2}}",1,"(-2*(1 - x)^(3/4)*(1 + x)^(3/4))/(3*e*(e*x)^(3/2))","A",1,1,24,0.04167,1,"{95}"
911,1,51,0,0.014609,"\int \frac{1}{\sqrt[4]{1-x} (e x)^{9/2} \sqrt[4]{1+x}} \, dx","Int[1/((1 - x)^(1/4)*(e*x)^(9/2)*(1 + x)^(1/4)),x]","\frac{8 \left(1-x^2\right)^{7/4}}{21 e (e x)^{7/2}}-\frac{2 \left(1-x^2\right)^{3/4}}{3 e (e x)^{7/2}}","\frac{8 \left(1-x^2\right)^{7/4}}{21 e (e x)^{7/2}}-\frac{2 \left(1-x^2\right)^{3/4}}{3 e (e x)^{7/2}}",1,"(-2*(1 - x^2)^(3/4))/(3*e*(e*x)^(7/2)) + (8*(1 - x^2)^(7/4))/(21*e*(e*x)^(7/2))","A",3,3,24,0.1250,1,"{125, 273, 264}"
912,1,76,0,0.0211333,"\int \frac{1}{\sqrt[4]{1-x} (e x)^{13/2} \sqrt[4]{1+x}} \, dx","Int[1/((1 - x)^(1/4)*(e*x)^(13/2)*(1 + x)^(1/4)),x]","-\frac{64 \left(1-x^2\right)^{11/4}}{231 e (e x)^{11/2}}+\frac{16 \left(1-x^2\right)^{7/4}}{21 e (e x)^{11/2}}-\frac{2 \left(1-x^2\right)^{3/4}}{3 e (e x)^{11/2}}","-\frac{64 \left(1-x^2\right)^{11/4}}{231 e (e x)^{11/2}}+\frac{16 \left(1-x^2\right)^{7/4}}{21 e (e x)^{11/2}}-\frac{2 \left(1-x^2\right)^{3/4}}{3 e (e x)^{11/2}}",1,"(-2*(1 - x^2)^(3/4))/(3*e*(e*x)^(11/2)) + (16*(1 - x^2)^(7/4))/(21*e*(e*x)^(11/2)) - (64*(1 - x^2)^(11/4))/(231*e*(e*x)^(11/2))","A",4,3,24,0.1250,1,"{125, 273, 264}"
913,1,93,0,0.0387342,"\int \frac{(e x)^{5/2}}{\sqrt[4]{1-x} \sqrt[4]{1+x}} \, dx","Int[(e*x)^(5/2)/((1 - x)^(1/4)*(1 + x)^(1/4)),x]","-\frac{e^3 \left(1-x^2\right)^{3/4}}{2 \sqrt{e x}}+\frac{e^2 \sqrt[4]{1-\frac{1}{x^2}} \sqrt{e x} E\left(\left.\frac{1}{2} \csc ^{-1}(x)\right|2\right)}{2 \sqrt[4]{1-x^2}}-\frac{1}{3} e \left(1-x^2\right)^{3/4} (e x)^{3/2}","-\frac{e^3 \left(1-x^2\right)^{3/4}}{2 \sqrt{e x}}+\frac{e^2 \sqrt[4]{1-\frac{1}{x^2}} \sqrt{e x} E\left(\left.\frac{1}{2} \csc ^{-1}(x)\right|2\right)}{2 \sqrt[4]{1-x^2}}-\frac{1}{3} e \left(1-x^2\right)^{3/4} (e x)^{3/2}",1,"-(e^3*(1 - x^2)^(3/4))/(2*Sqrt[e*x]) - (e*(e*x)^(3/2)*(1 - x^2)^(3/4))/3 + (e^2*(1 - x^(-2))^(1/4)*Sqrt[e*x]*EllipticE[ArcCsc[x]/2, 2])/(2*(1 - x^2)^(1/4))","A",6,6,24,0.2500,1,"{125, 321, 315, 317, 335, 228}"
914,1,60,0,0.0224061,"\int \frac{\sqrt{e x}}{\sqrt[4]{1-x} \sqrt[4]{1+x}} \, dx","Int[Sqrt[e*x]/((1 - x)^(1/4)*(1 + x)^(1/4)),x]","\frac{\sqrt[4]{1-\frac{1}{x^2}} \sqrt{e x} E\left(\left.\frac{1}{2} \csc ^{-1}(x)\right|2\right)}{\sqrt[4]{1-x^2}}-\frac{e \left(1-x^2\right)^{3/4}}{\sqrt{e x}}","\frac{\sqrt[4]{1-\frac{1}{x^2}} \sqrt{e x} E\left(\left.\frac{1}{2} \csc ^{-1}(x)\right|2\right)}{\sqrt[4]{1-x^2}}-\frac{e \left(1-x^2\right)^{3/4}}{\sqrt{e x}}",1,"-((e*(1 - x^2)^(3/4))/Sqrt[e*x]) + ((1 - x^(-2))^(1/4)*Sqrt[e*x]*EllipticE[ArcCsc[x]/2, 2])/(1 - x^2)^(1/4)","A",5,5,24,0.2083,1,"{125, 315, 317, 335, 228}"
915,1,42,0,0.0153651,"\int \frac{1}{\sqrt[4]{1-x} (e x)^{3/2} \sqrt[4]{1+x}} \, dx","Int[1/((1 - x)^(1/4)*(e*x)^(3/2)*(1 + x)^(1/4)),x]","-\frac{2 \sqrt[4]{1-\frac{1}{x^2}} \sqrt{e x} E\left(\left.\frac{1}{2} \csc ^{-1}(x)\right|2\right)}{e^2 \sqrt[4]{1-x^2}}","-\frac{2 \sqrt[4]{1-\frac{1}{x^2}} \sqrt{e x} E\left(\left.\frac{1}{2} \csc ^{-1}(x)\right|2\right)}{e^2 \sqrt[4]{1-x^2}}",1,"(-2*(1 - x^(-2))^(1/4)*Sqrt[e*x]*EllipticE[ArcCsc[x]/2, 2])/(e^2*(1 - x^2)^(1/4))","A",4,4,24,0.1667,1,"{125, 317, 335, 228}"
916,1,70,0,0.0230531,"\int \frac{1}{\sqrt[4]{1-x} (e x)^{7/2} \sqrt[4]{1+x}} \, dx","Int[1/((1 - x)^(1/4)*(e*x)^(7/2)*(1 + x)^(1/4)),x]","-\frac{4 \sqrt[4]{1-\frac{1}{x^2}} \sqrt{e x} E\left(\left.\frac{1}{2} \csc ^{-1}(x)\right|2\right)}{5 e^4 \sqrt[4]{1-x^2}}-\frac{2 \left(1-x^2\right)^{3/4}}{5 e (e x)^{5/2}}","-\frac{4 \sqrt[4]{1-\frac{1}{x^2}} \sqrt{e x} E\left(\left.\frac{1}{2} \csc ^{-1}(x)\right|2\right)}{5 e^4 \sqrt[4]{1-x^2}}-\frac{2 \left(1-x^2\right)^{3/4}}{5 e (e x)^{5/2}}",1,"(-2*(1 - x^2)^(3/4))/(5*e*(e*x)^(5/2)) - (4*(1 - x^(-2))^(1/4)*Sqrt[e*x]*EllipticE[ArcCsc[x]/2, 2])/(5*e^4*(1 - x^2)^(1/4))","A",5,5,24,0.2083,1,"{125, 325, 317, 335, 228}"
917,1,95,0,0.0324452,"\int \frac{1}{\sqrt[4]{1-x} (e x)^{11/2} \sqrt[4]{1+x}} \, dx","Int[1/((1 - x)^(1/4)*(e*x)^(11/2)*(1 + x)^(1/4)),x]","-\frac{4 \left(1-x^2\right)^{3/4}}{15 e^3 (e x)^{5/2}}-\frac{8 \sqrt[4]{1-\frac{1}{x^2}} \sqrt{e x} E\left(\left.\frac{1}{2} \csc ^{-1}(x)\right|2\right)}{15 e^6 \sqrt[4]{1-x^2}}-\frac{2 \left(1-x^2\right)^{3/4}}{9 e (e x)^{9/2}}","-\frac{4 \left(1-x^2\right)^{3/4}}{15 e^3 (e x)^{5/2}}-\frac{8 \sqrt[4]{1-\frac{1}{x^2}} \sqrt{e x} E\left(\left.\frac{1}{2} \csc ^{-1}(x)\right|2\right)}{15 e^6 \sqrt[4]{1-x^2}}-\frac{2 \left(1-x^2\right)^{3/4}}{9 e (e x)^{9/2}}",1,"(-2*(1 - x^2)^(3/4))/(9*e*(e*x)^(9/2)) - (4*(1 - x^2)^(3/4))/(15*e^3*(e*x)^(5/2)) - (8*(1 - x^(-2))^(1/4)*Sqrt[e*x]*EllipticE[ArcCsc[x]/2, 2])/(15*e^6*(1 - x^2)^(1/4))","A",6,5,24,0.2083,1,"{125, 325, 317, 335, 228}"
918,1,104,0,0.052563,"\int x^2 (a+b x)^n (c+d x) \, dx","Int[x^2*(a + b*x)^n*(c + d*x),x]","\frac{a^2 (b c-a d) (a+b x)^{n+1}}{b^4 (n+1)}-\frac{a (2 b c-3 a d) (a+b x)^{n+2}}{b^4 (n+2)}+\frac{(b c-3 a d) (a+b x)^{n+3}}{b^4 (n+3)}+\frac{d (a+b x)^{n+4}}{b^4 (n+4)}","\frac{a^2 (b c-a d) (a+b x)^{n+1}}{b^4 (n+1)}-\frac{a (2 b c-3 a d) (a+b x)^{n+2}}{b^4 (n+2)}+\frac{(b c-3 a d) (a+b x)^{n+3}}{b^4 (n+3)}+\frac{d (a+b x)^{n+4}}{b^4 (n+4)}",1,"(a^2*(b*c - a*d)*(a + b*x)^(1 + n))/(b^4*(1 + n)) - (a*(2*b*c - 3*a*d)*(a + b*x)^(2 + n))/(b^4*(2 + n)) + ((b*c - 3*a*d)*(a + b*x)^(3 + n))/(b^4*(3 + n)) + (d*(a + b*x)^(4 + n))/(b^4*(4 + n))","A",2,1,16,0.06250,1,"{77}"
919,1,74,0,0.0331179,"\int x (a+b x)^n (c+d x) \, dx","Int[x*(a + b*x)^n*(c + d*x),x]","-\frac{a (b c-a d) (a+b x)^{n+1}}{b^3 (n+1)}+\frac{(b c-2 a d) (a+b x)^{n+2}}{b^3 (n+2)}+\frac{d (a+b x)^{n+3}}{b^3 (n+3)}","-\frac{a (b c-a d) (a+b x)^{n+1}}{b^3 (n+1)}+\frac{(b c-2 a d) (a+b x)^{n+2}}{b^3 (n+2)}+\frac{d (a+b x)^{n+3}}{b^3 (n+3)}",1,"-((a*(b*c - a*d)*(a + b*x)^(1 + n))/(b^3*(1 + n))) + ((b*c - 2*a*d)*(a + b*x)^(2 + n))/(b^3*(2 + n)) + (d*(a + b*x)^(3 + n))/(b^3*(3 + n))","A",2,1,14,0.07143,1,"{77}"
920,1,46,0,0.017749,"\int (a+b x)^n (c+d x) \, dx","Int[(a + b*x)^n*(c + d*x),x]","\frac{(b c-a d) (a+b x)^{n+1}}{b^2 (n+1)}+\frac{d (a+b x)^{n+2}}{b^2 (n+2)}","\frac{(b c-a d) (a+b x)^{n+1}}{b^2 (n+1)}+\frac{d (a+b x)^{n+2}}{b^2 (n+2)}",1,"((b*c - a*d)*(a + b*x)^(1 + n))/(b^2*(1 + n)) + (d*(a + b*x)^(2 + n))/(b^2*(2 + n))","A",2,1,13,0.07692,1,"{43}"
921,1,56,0,0.0155928,"\int \frac{(a+b x)^n (c+d x)}{x} \, dx","Int[((a + b*x)^n*(c + d*x))/x,x]","\frac{d (a+b x)^{n+1}}{b (n+1)}-\frac{c (a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a (n+1)}","\frac{d (a+b x)^{n+1}}{b (n+1)}-\frac{c (a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a (n+1)}",1,"(d*(a + b*x)^(1 + n))/(b*(1 + n)) - (c*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, 1 + (b*x)/a])/(a*(1 + n))","A",2,2,16,0.1250,1,"{80, 65}"
922,1,62,0,0.0183483,"\int \frac{(a+b x)^n (c+d x)}{x^2} \, dx","Int[((a + b*x)^n*(c + d*x))/x^2,x]","-\frac{(a+b x)^{n+1} (a d+b c n) \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a^2 (n+1)}-\frac{c (a+b x)^{n+1}}{a x}","-\frac{(a+b x)^{n+1} (a d+b c n) \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a^2 (n+1)}-\frac{c (a+b x)^{n+1}}{a x}",1,"-((c*(a + b*x)^(1 + n))/(a*x)) - ((a*d + b*c*n)*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, 1 + (b*x)/a])/(a^2*(1 + n))","A",2,2,16,0.1250,1,"{78, 65}"
923,1,157,0,0.0872,"\int x^2 (a+b x)^n (c+d x)^2 \, dx","Int[x^2*(a + b*x)^n*(c + d*x)^2,x]","\frac{\left(6 a^2 d^2-6 a b c d+b^2 c^2\right) (a+b x)^{n+3}}{b^5 (n+3)}+\frac{a^2 (b c-a d)^2 (a+b x)^{n+1}}{b^5 (n+1)}-\frac{2 a (b c-2 a d) (b c-a d) (a+b x)^{n+2}}{b^5 (n+2)}+\frac{2 d (b c-2 a d) (a+b x)^{n+4}}{b^5 (n+4)}+\frac{d^2 (a+b x)^{n+5}}{b^5 (n+5)}","\frac{\left(6 a^2 d^2-6 a b c d+b^2 c^2\right) (a+b x)^{n+3}}{b^5 (n+3)}+\frac{a^2 (b c-a d)^2 (a+b x)^{n+1}}{b^5 (n+1)}-\frac{2 a (b c-2 a d) (b c-a d) (a+b x)^{n+2}}{b^5 (n+2)}+\frac{2 d (b c-2 a d) (a+b x)^{n+4}}{b^5 (n+4)}+\frac{d^2 (a+b x)^{n+5}}{b^5 (n+5)}",1,"(a^2*(b*c - a*d)^2*(a + b*x)^(1 + n))/(b^5*(1 + n)) - (2*a*(b*c - 2*a*d)*(b*c - a*d)*(a + b*x)^(2 + n))/(b^5*(2 + n)) + ((b^2*c^2 - 6*a*b*c*d + 6*a^2*d^2)*(a + b*x)^(3 + n))/(b^5*(3 + n)) + (2*d*(b*c - 2*a*d)*(a + b*x)^(4 + n))/(b^5*(4 + n)) + (d^2*(a + b*x)^(5 + n))/(b^5*(5 + n))","A",2,1,18,0.05556,1,"{88}"
924,1,114,0,0.0597796,"\int x (a+b x)^n (c+d x)^2 \, dx","Int[x*(a + b*x)^n*(c + d*x)^2,x]","-\frac{a (b c-a d)^2 (a+b x)^{n+1}}{b^4 (n+1)}+\frac{(b c-3 a d) (b c-a d) (a+b x)^{n+2}}{b^4 (n+2)}+\frac{d (2 b c-3 a d) (a+b x)^{n+3}}{b^4 (n+3)}+\frac{d^2 (a+b x)^{n+4}}{b^4 (n+4)}","-\frac{a (b c-a d)^2 (a+b x)^{n+1}}{b^4 (n+1)}+\frac{(b c-3 a d) (b c-a d) (a+b x)^{n+2}}{b^4 (n+2)}+\frac{d (2 b c-3 a d) (a+b x)^{n+3}}{b^4 (n+3)}+\frac{d^2 (a+b x)^{n+4}}{b^4 (n+4)}",1,"-((a*(b*c - a*d)^2*(a + b*x)^(1 + n))/(b^4*(1 + n))) + ((b*c - 3*a*d)*(b*c - a*d)*(a + b*x)^(2 + n))/(b^4*(2 + n)) + (d*(2*b*c - 3*a*d)*(a + b*x)^(3 + n))/(b^4*(3 + n)) + (d^2*(a + b*x)^(4 + n))/(b^4*(4 + n))","A",2,1,16,0.06250,1,"{77}"
925,1,78,0,0.0331732,"\int (a+b x)^n (c+d x)^2 \, dx","Int[(a + b*x)^n*(c + d*x)^2,x]","\frac{(b c-a d)^2 (a+b x)^{n+1}}{b^3 (n+1)}+\frac{2 d (b c-a d) (a+b x)^{n+2}}{b^3 (n+2)}+\frac{d^2 (a+b x)^{n+3}}{b^3 (n+3)}","\frac{(b c-a d)^2 (a+b x)^{n+1}}{b^3 (n+1)}+\frac{2 d (b c-a d) (a+b x)^{n+2}}{b^3 (n+2)}+\frac{d^2 (a+b x)^{n+3}}{b^3 (n+3)}",1,"((b*c - a*d)^2*(a + b*x)^(1 + n))/(b^3*(1 + n)) + (2*d*(b*c - a*d)*(a + b*x)^(2 + n))/(b^3*(2 + n)) + (d^2*(a + b*x)^(3 + n))/(b^3*(3 + n))","A",2,1,15,0.06667,1,"{43}"
926,1,88,0,0.0448251,"\int \frac{(a+b x)^n (c+d x)^2}{x} \, dx","Int[((a + b*x)^n*(c + d*x)^2)/x,x]","\frac{d (2 b c-a d) (a+b x)^{n+1}}{b^2 (n+1)}+\frac{d^2 (a+b x)^{n+2}}{b^2 (n+2)}-\frac{c^2 (a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a (n+1)}","\frac{d (2 b c-a d) (a+b x)^{n+1}}{b^2 (n+1)}+\frac{d^2 (a+b x)^{n+2}}{b^2 (n+2)}-\frac{c^2 (a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a (n+1)}",1,"(d*(2*b*c - a*d)*(a + b*x)^(1 + n))/(b^2*(1 + n)) + (d^2*(a + b*x)^(2 + n))/(b^2*(2 + n)) - (c^2*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, 1 + (b*x)/a])/(a*(1 + n))","A",3,2,18,0.1111,1,"{88, 65}"
927,1,87,0,0.0383093,"\int \frac{(a+b x)^n (c+d x)^2}{x^2} \, dx","Int[((a + b*x)^n*(c + d*x)^2)/x^2,x]","-\frac{c (a+b x)^{n+1} (2 a d+b c n) \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a^2 (n+1)}-\frac{c^2 (a+b x)^{n+1}}{a x}+\frac{d^2 (a+b x)^{n+1}}{b (n+1)}","-\frac{c (a+b x)^{n+1} (2 a d+b c n) \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a^2 (n+1)}-\frac{c^2 (a+b x)^{n+1}}{a x}+\frac{d^2 (a+b x)^{n+1}}{b (n+1)}",1,"(d^2*(a + b*x)^(1 + n))/(b*(1 + n)) - (c^2*(a + b*x)^(1 + n))/(a*x) - (c*(2*a*d + b*c*n)*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, 1 + (b*x)/a])/(a^2*(1 + n))","A",3,3,18,0.1667,1,"{89, 80, 65}"
928,1,124,0,0.0721881,"\int \frac{(a+b x)^n (c+d x)^2}{x^3} \, dx","Int[((a + b*x)^n*(c + d*x)^2)/x^3,x]","-\frac{(a+b x)^{n+1} \left(2 a^2 d^2+4 a b c d n-b^2 c^2 (1-n) n\right) \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{2 a^3 (n+1)}-\frac{c (a+b x)^{n+1} (4 a d-b c (1-n))}{2 a^2 x}-\frac{c^2 (a+b x)^{n+1}}{2 a x^2}","-\frac{(a+b x)^{n+1} \left(2 a^2 d^2+4 a b c d n-b^2 c^2 (1-n) n\right) \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{2 a^3 (n+1)}-\frac{c (a+b x)^{n+1} (4 a d-b c (1-n))}{2 a^2 x}-\frac{c^2 (a+b x)^{n+1}}{2 a x^2}",1,"-(c^2*(a + b*x)^(1 + n))/(2*a*x^2) - (c*(4*a*d - b*c*(1 - n))*(a + b*x)^(1 + n))/(2*a^2*x) - ((2*a^2*d^2 + 4*a*b*c*d*n - b^2*c^2*(1 - n)*n)*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, 1 + (b*x)/a])/(2*a^3*(1 + n))","A",3,3,18,0.1667,1,"{89, 78, 65}"
929,1,130,0,0.1018494,"\int \frac{(a+b x)^n (c+d x)^2}{x^4} \, dx","Int[((a + b*x)^n*(c + d*x)^2)/x^4,x]","\frac{b (a+b x)^{n+1} \left(6 a^2 d^2-6 a b c d (1-n)+b^2 c^2 \left(n^2-3 n+2\right)\right) \, _2F_1\left(2,n+1;n+2;\frac{b x}{a}+1\right)}{6 a^4 (n+1)}-\frac{c (a+b x)^{n+1} (6 a d-b c (2-n))}{6 a^2 x^2}-\frac{c^2 (a+b x)^{n+1}}{3 a x^3}","\frac{b (a+b x)^{n+1} \left(6 a^2 d^2-6 a b c d (1-n)+b^2 c^2 \left(n^2-3 n+2\right)\right) \, _2F_1\left(2,n+1;n+2;\frac{b x}{a}+1\right)}{6 a^4 (n+1)}-\frac{c (a+b x)^{n+1} (6 a d-b c (2-n))}{6 a^2 x^2}-\frac{c^2 (a+b x)^{n+1}}{3 a x^3}",1,"-(c^2*(a + b*x)^(1 + n))/(3*a*x^3) - (c*(6*a*d - b*c*(2 - n))*(a + b*x)^(1 + n))/(6*a^2*x^2) + (b*(6*a^2*d^2 - 6*a*b*c*d*(1 - n) + b^2*c^2*(2 - 3*n + n^2))*(a + b*x)^(1 + n)*Hypergeometric2F1[2, 1 + n, 2 + n, 1 + (b*x)/a])/(6*a^4*(1 + n))","A",3,3,18,0.1667,1,"{89, 78, 65}"
930,1,212,0,0.1144667,"\int x^2 (a+b x)^n (c+d x)^3 \, dx","Int[x^2*(a + b*x)^n*(c + d*x)^3,x]","\frac{(b c-a d) \left(10 a^2 d^2-8 a b c d+b^2 c^2\right) (a+b x)^{n+3}}{b^6 (n+3)}+\frac{d \left(10 a^2 d^2-12 a b c d+3 b^2 c^2\right) (a+b x)^{n+4}}{b^6 (n+4)}+\frac{a^2 (b c-a d)^3 (a+b x)^{n+1}}{b^6 (n+1)}+\frac{d^2 (3 b c-5 a d) (a+b x)^{n+5}}{b^6 (n+5)}-\frac{a (2 b c-5 a d) (b c-a d)^2 (a+b x)^{n+2}}{b^6 (n+2)}+\frac{d^3 (a+b x)^{n+6}}{b^6 (n+6)}","\frac{(b c-a d) \left(10 a^2 d^2-8 a b c d+b^2 c^2\right) (a+b x)^{n+3}}{b^6 (n+3)}+\frac{d \left(10 a^2 d^2-12 a b c d+3 b^2 c^2\right) (a+b x)^{n+4}}{b^6 (n+4)}+\frac{a^2 (b c-a d)^3 (a+b x)^{n+1}}{b^6 (n+1)}+\frac{d^2 (3 b c-5 a d) (a+b x)^{n+5}}{b^6 (n+5)}-\frac{a (2 b c-5 a d) (b c-a d)^2 (a+b x)^{n+2}}{b^6 (n+2)}+\frac{d^3 (a+b x)^{n+6}}{b^6 (n+6)}",1,"(a^2*(b*c - a*d)^3*(a + b*x)^(1 + n))/(b^6*(1 + n)) - (a*(2*b*c - 5*a*d)*(b*c - a*d)^2*(a + b*x)^(2 + n))/(b^6*(2 + n)) + ((b*c - a*d)*(b^2*c^2 - 8*a*b*c*d + 10*a^2*d^2)*(a + b*x)^(3 + n))/(b^6*(3 + n)) + (d*(3*b^2*c^2 - 12*a*b*c*d + 10*a^2*d^2)*(a + b*x)^(4 + n))/(b^6*(4 + n)) + (d^2*(3*b*c - 5*a*d)*(a + b*x)^(5 + n))/(b^6*(5 + n)) + (d^3*(a + b*x)^(6 + n))/(b^6*(6 + n))","A",2,1,18,0.05556,1,"{88}"
931,1,154,0,0.0763475,"\int x (a+b x)^n (c+d x)^3 \, dx","Int[x*(a + b*x)^n*(c + d*x)^3,x]","\frac{d^2 (3 b c-4 a d) (a+b x)^{n+4}}{b^5 (n+4)}-\frac{a (b c-a d)^3 (a+b x)^{n+1}}{b^5 (n+1)}+\frac{(b c-4 a d) (b c-a d)^2 (a+b x)^{n+2}}{b^5 (n+2)}+\frac{3 d (b c-2 a d) (b c-a d) (a+b x)^{n+3}}{b^5 (n+3)}+\frac{d^3 (a+b x)^{n+5}}{b^5 (n+5)}","\frac{d^2 (3 b c-4 a d) (a+b x)^{n+4}}{b^5 (n+4)}-\frac{a (b c-a d)^3 (a+b x)^{n+1}}{b^5 (n+1)}+\frac{(b c-4 a d) (b c-a d)^2 (a+b x)^{n+2}}{b^5 (n+2)}+\frac{3 d (b c-2 a d) (b c-a d) (a+b x)^{n+3}}{b^5 (n+3)}+\frac{d^3 (a+b x)^{n+5}}{b^5 (n+5)}",1,"-((a*(b*c - a*d)^3*(a + b*x)^(1 + n))/(b^5*(1 + n))) + ((b*c - 4*a*d)*(b*c - a*d)^2*(a + b*x)^(2 + n))/(b^5*(2 + n)) + (3*d*(b*c - 2*a*d)*(b*c - a*d)*(a + b*x)^(3 + n))/(b^5*(3 + n)) + (d^2*(3*b*c - 4*a*d)*(a + b*x)^(4 + n))/(b^5*(4 + n)) + (d^3*(a + b*x)^(5 + n))/(b^5*(5 + n))","A",2,1,16,0.06250,1,"{77}"
932,1,110,0,0.0497695,"\int (a+b x)^n (c+d x)^3 \, dx","Int[(a + b*x)^n*(c + d*x)^3,x]","\frac{3 d^2 (b c-a d) (a+b x)^{n+3}}{b^4 (n+3)}+\frac{(b c-a d)^3 (a+b x)^{n+1}}{b^4 (n+1)}+\frac{3 d (b c-a d)^2 (a+b x)^{n+2}}{b^4 (n+2)}+\frac{d^3 (a+b x)^{n+4}}{b^4 (n+4)}","\frac{3 d^2 (b c-a d) (a+b x)^{n+3}}{b^4 (n+3)}+\frac{(b c-a d)^3 (a+b x)^{n+1}}{b^4 (n+1)}+\frac{3 d (b c-a d)^2 (a+b x)^{n+2}}{b^4 (n+2)}+\frac{d^3 (a+b x)^{n+4}}{b^4 (n+4)}",1,"((b*c - a*d)^3*(a + b*x)^(1 + n))/(b^4*(1 + n)) + (3*d*(b*c - a*d)^2*(a + b*x)^(2 + n))/(b^4*(2 + n)) + (3*d^2*(b*c - a*d)*(a + b*x)^(3 + n))/(b^4*(3 + n)) + (d^3*(a + b*x)^(4 + n))/(b^4*(4 + n))","A",2,1,15,0.06667,1,"{43}"
933,1,131,0,0.0578894,"\int \frac{(a+b x)^n (c+d x)^3}{x} \, dx","Int[((a + b*x)^n*(c + d*x)^3)/x,x]","\frac{d \left(a^2 d^2-3 a b c d+3 b^2 c^2\right) (a+b x)^{n+1}}{b^3 (n+1)}+\frac{d^2 (3 b c-2 a d) (a+b x)^{n+2}}{b^3 (n+2)}+\frac{d^3 (a+b x)^{n+3}}{b^3 (n+3)}-\frac{c^3 (a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a (n+1)}","\frac{d \left(a^2 d^2-3 a b c d+3 b^2 c^2\right) (a+b x)^{n+1}}{b^3 (n+1)}+\frac{d^2 (3 b c-2 a d) (a+b x)^{n+2}}{b^3 (n+2)}+\frac{d^3 (a+b x)^{n+3}}{b^3 (n+3)}-\frac{c^3 (a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a (n+1)}",1,"(d*(3*b^2*c^2 - 3*a*b*c*d + a^2*d^2)*(a + b*x)^(1 + n))/(b^3*(1 + n)) + (d^2*(3*b*c - 2*a*d)*(a + b*x)^(2 + n))/(b^3*(2 + n)) + (d^3*(a + b*x)^(3 + n))/(b^3*(3 + n)) - (c^3*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, 1 + (b*x)/a])/(a*(1 + n))","A",3,2,18,0.1111,1,"{88, 65}"
934,1,143,0,0.1297794,"\int \frac{(a+b x)^n (c+d x)^3}{x^2} \, dx","Int[((a + b*x)^n*(c + d*x)^3)/x^2,x]","-\frac{c^2 (a+b x)^{n+1} (3 a d+b c n) \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a^2 (n+1)}-\frac{(a+b x)^{n+1} \left(b c^2 (n+1) (a d+b c (n+2))+a d^2 x (a d-b c (n+4))\right)}{a b^2 (n+1) (n+2) x}+\frac{d (c+d x)^2 (a+b x)^{n+1}}{b (n+2) x}","-\frac{c^2 (a+b x)^{n+1} (3 a d+b c n) \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a^2 (n+1)}-\frac{(a+b x)^{n+1} \left(b c^2 (n+1) (a d+b c (n+2))+a d^2 x (a d-b c (n+4))\right)}{a b^2 (n+1) (n+2) x}+\frac{d (c+d x)^2 (a+b x)^{n+1}}{b (n+2) x}",1,"(d*(a + b*x)^(1 + n)*(c + d*x)^2)/(b*(2 + n)*x) - ((a + b*x)^(1 + n)*(b*c^2*(1 + n)*(a*d + b*c*(2 + n)) + a*d^2*(a*d - b*c*(4 + n))*x))/(a*b^2*(1 + n)*(2 + n)*x) - (c^2*(3*a*d + b*c*n)*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, 1 + (b*x)/a])/(a^2*(1 + n))","A",3,3,18,0.1667,1,"{100, 146, 65}"
935,1,176,0,0.2088958,"\int \frac{(a+b x)^n (c+d x)^3}{x^3} \, dx","Int[((a + b*x)^n*(c + d*x)^3)/x^3,x]","-\frac{c (a+b x)^{n+1} \left(6 a^2 d^2+6 a b c d n-b^2 c^2 (1-n) n\right) \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{2 a^3 (n+1)}-\frac{c (a+b x)^{n+1} \left(x \left(4 a^2 d^2+6 a b c d (n+1)-b^2 c^2 \left(1-n^2\right)\right)+a c (2 a d+b c (n+1))\right)}{2 a^2 b (n+1) x^2}+\frac{d (c+d x)^2 (a+b x)^{n+1}}{b (n+1) x^2}","-\frac{c (a+b x)^{n+1} \left(6 a^2 d^2+6 a b c d n-b^2 c^2 (1-n) n\right) \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{2 a^3 (n+1)}-\frac{c (a+b x)^{n+1} \left(x \left(4 a^2 d^2+6 a b c d (n+1)-b^2 c^2 \left(1-n^2\right)\right)+a c (2 a d+b c (n+1))\right)}{2 a^2 b (n+1) x^2}+\frac{d (c+d x)^2 (a+b x)^{n+1}}{b (n+1) x^2}",1,"(d*(a + b*x)^(1 + n)*(c + d*x)^2)/(b*(1 + n)*x^2) - (c*(a + b*x)^(1 + n)*(a*c*(2*a*d + b*c*(1 + n)) + (4*a^2*d^2 + 6*a*b*c*d*(1 + n) - b^2*c^2*(1 - n^2))*x))/(2*a^2*b*(1 + n)*x^2) - (c*(6*a^2*d^2 + 6*a*b*c*d*n - b^2*c^2*(1 - n)*n)*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, 1 + (b*x)/a])/(2*a^3*(1 + n))","A",3,3,18,0.1667,1,"{100, 145, 65}"
936,1,22,0,0.0045588,"\int x^{1+2 n} (a+b x)^n (2 a+3 b x) \, dx","Int[x^(1 + 2*n)*(a + b*x)^n*(2*a + 3*b*x),x]","\frac{x^{2 (n+1)} (a+b x)^{n+1}}{n+1}","\frac{x^{2 (n+1)} (a+b x)^{n+1}}{n+1}",1,"(x^(2*(1 + n))*(a + b*x)^(1 + n))/(1 + n)","A",1,1,23,0.04348,1,"{74}"
937,1,108,0,0.0608744,"\int \frac{x^2 (a+b x)^n}{c+d x} \, dx","Int[(x^2*(a + b*x)^n)/(c + d*x),x]","-\frac{(a d+b c) (a+b x)^{n+1}}{b^2 d^2 (n+1)}+\frac{(a+b x)^{n+2}}{b^2 d (n+2)}+\frac{c^2 (a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{d^2 (n+1) (b c-a d)}","-\frac{(a d+b c) (a+b x)^{n+1}}{b^2 d^2 (n+1)}+\frac{(a+b x)^{n+2}}{b^2 d (n+2)}+\frac{c^2 (a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{d^2 (n+1) (b c-a d)}",1,"-(((b*c + a*d)*(a + b*x)^(1 + n))/(b^2*d^2*(1 + n))) + (a + b*x)^(2 + n)/(b^2*d*(2 + n)) + (c^2*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(d^2*(b*c - a*d)*(1 + n))","A",3,2,18,0.1111,1,"{88, 68}"
938,1,78,0,0.0203725,"\int \frac{x (a+b x)^n}{c+d x} \, dx","Int[(x*(a + b*x)^n)/(c + d*x),x]","\frac{(a+b x)^{n+1}}{b d (n+1)}-\frac{c (a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{d (n+1) (b c-a d)}","\frac{(a+b x)^{n+1}}{b d (n+1)}-\frac{c (a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{d (n+1) (b c-a d)}",1,"(a + b*x)^(1 + n)/(b*d*(1 + n)) - (c*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(d*(b*c - a*d)*(1 + n))","A",2,2,16,0.1250,1,"{80, 68}"
939,1,51,0,0.007383,"\int \frac{(a+b x)^n}{c+d x} \, dx","Int[(a + b*x)^n/(c + d*x),x]","\frac{(a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{(n+1) (b c-a d)}","\frac{(a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{(n+1) (b c-a d)}",1,"((a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)*(1 + n))","A",1,1,15,0.06667,1,"{68}"
940,1,95,0,0.0270198,"\int \frac{(a+b x)^n}{x (c+d x)} \, dx","Int[(a + b*x)^n/(x*(c + d*x)),x]","-\frac{d (a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{c (n+1) (b c-a d)}-\frac{(a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a c (n+1)}","-\frac{d (a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{c (n+1) (b c-a d)}-\frac{(a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a c (n+1)}",1,"-((d*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(c*(b*c - a*d)*(1 + n))) - ((a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, 1 + (b*x)/a])/(a*c*(1 + n))","A",3,3,18,0.1667,1,"{86, 65, 68}"
941,1,124,0,0.0677802,"\int \frac{(a+b x)^n}{x^2 (c+d x)} \, dx","Int[(a + b*x)^n/(x^2*(c + d*x)),x]","\frac{(a+b x)^{n+1} (a d-b c n) \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a^2 c^2 (n+1)}+\frac{d^2 (a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{c^2 (n+1) (b c-a d)}-\frac{(a+b x)^{n+1}}{a c x}","\frac{(a+b x)^{n+1} (a d-b c n) \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a^2 c^2 (n+1)}+\frac{d^2 (a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{c^2 (n+1) (b c-a d)}-\frac{(a+b x)^{n+1}}{a c x}",1,"-((a + b*x)^(1 + n)/(a*c*x)) + (d^2*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(c^2*(b*c - a*d)*(1 + n)) + ((a*d - b*c*n)*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, 1 + (b*x)/a])/(a^2*c^2*(1 + n))","A",4,4,18,0.2222,1,"{103, 156, 65, 68}"
942,1,203,0,0.2026146,"\int \frac{x^3 (a+b x)^n}{(c+d x)^2} \, dx","Int[(x^3*(a + b*x)^n)/(c + d*x)^2,x]","-\frac{(a+b x)^{n+1} (d x (b c-a d) (a d+b c (n+3))+c (b c (n+2) (a d+b c (n+3))-a d (a d+b c (3 n+5))))}{b^2 d^3 (n+1) (n+2) (c+d x) (b c-a d)}-\frac{c^2 (a+b x)^{n+1} (3 a d-b c (n+3)) \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{d^3 (n+1) (b c-a d)^2}+\frac{x^2 (a+b x)^{n+1}}{b d (n+2) (c+d x)}","-\frac{(a+b x)^{n+1} (d x (b c-a d) (a d+b c (n+3))+c (b c (n+2) (a d+b c (n+3))-a d (a d+b c (3 n+5))))}{b^2 d^3 (n+1) (n+2) (c+d x) (b c-a d)}-\frac{c^2 (a+b x)^{n+1} (3 a d-b c (n+3)) \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{d^3 (n+1) (b c-a d)^2}+\frac{x^2 (a+b x)^{n+1}}{b d (n+2) (c+d x)}",1,"(x^2*(a + b*x)^(1 + n))/(b*d*(2 + n)*(c + d*x)) - ((a + b*x)^(1 + n)*(c*(b*c*(2 + n)*(a*d + b*c*(3 + n)) - a*d*(a*d + b*c*(5 + 3*n))) + d*(b*c - a*d)*(a*d + b*c*(3 + n))*x))/(b^2*d^3*(b*c - a*d)*(1 + n)*(2 + n)*(c + d*x)) - (c^2*(3*a*d - b*c*(3 + n))*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(d^3*(b*c - a*d)^2*(1 + n))","A",3,3,18,0.1667,1,"{100, 146, 68}"
943,1,122,0,0.082037,"\int \frac{x^2 (a+b x)^n}{(c+d x)^2} \, dx","Int[(x^2*(a + b*x)^n)/(c + d*x)^2,x]","\frac{c^2 (a+b x)^{n+1}}{d^2 (c+d x) (b c-a d)}+\frac{c (a+b x)^{n+1} (2 a d-b c (n+2)) \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{d^2 (n+1) (b c-a d)^2}+\frac{(a+b x)^{n+1}}{b d^2 (n+1)}","\frac{c^2 (a+b x)^{n+1}}{d^2 (c+d x) (b c-a d)}+\frac{c (a+b x)^{n+1} (2 a d-b c (n+2)) \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{d^2 (n+1) (b c-a d)^2}+\frac{(a+b x)^{n+1}}{b d^2 (n+1)}",1,"(a + b*x)^(1 + n)/(b*d^2*(1 + n)) + (c^2*(a + b*x)^(1 + n))/(d^2*(b*c - a*d)*(c + d*x)) + (c*(2*a*d - b*c*(2 + n))*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(d^2*(b*c - a*d)^2*(1 + n))","A",3,3,18,0.1667,1,"{89, 80, 68}"
944,1,99,0,0.0330376,"\int \frac{x (a+b x)^n}{(c+d x)^2} \, dx","Int[(x*(a + b*x)^n)/(c + d*x)^2,x]","-\frac{(a+b x)^{n+1} (a d-b c (n+1)) \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{d (n+1) (b c-a d)^2}-\frac{c (a+b x)^{n+1}}{d (c+d x) (b c-a d)}","-\frac{(a+b x)^{n+1} (a d-b c (n+1)) \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{d (n+1) (b c-a d)^2}-\frac{c (a+b x)^{n+1}}{d (c+d x) (b c-a d)}",1,"-((c*(a + b*x)^(1 + n))/(d*(b*c - a*d)*(c + d*x))) - ((a*d - b*c*(1 + n))*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(d*(b*c - a*d)^2*(1 + n))","A",2,2,16,0.1250,1,"{78, 68}"
945,1,52,0,0.0094082,"\int \frac{(a+b x)^n}{(c+d x)^2} \, dx","Int[(a + b*x)^n/(c + d*x)^2,x]","\frac{b (a+b x)^{n+1} \, _2F_1\left(2,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{(n+1) (b c-a d)^2}","\frac{b (a+b x)^{n+1} \, _2F_1\left(2,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{(n+1) (b c-a d)^2}",1,"(b*(a + b*x)^(1 + n)*Hypergeometric2F1[2, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*(1 + n))","A",1,1,15,0.06667,1,"{68}"
946,1,139,0,0.0814086,"\int \frac{(a+b x)^n}{x (c+d x)^2} \, dx","Int[(a + b*x)^n/(x*(c + d*x)^2),x]","\frac{d (a+b x)^{n+1} (a d-b c (1-n)) \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{c^2 (n+1) (b c-a d)^2}-\frac{(a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a c^2 (n+1)}-\frac{d (a+b x)^{n+1}}{c (c+d x) (b c-a d)}","\frac{d (a+b x)^{n+1} (a d-b c (1-n)) \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{c^2 (n+1) (b c-a d)^2}-\frac{(a+b x)^{n+1} \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a c^2 (n+1)}-\frac{d (a+b x)^{n+1}}{c (c+d x) (b c-a d)}",1,"-((d*(a + b*x)^(1 + n))/(c*(b*c - a*d)*(c + d*x))) + (d*(a*d - b*c*(1 - n))*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(c^2*(b*c - a*d)^2*(1 + n)) - ((a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, 1 + (b*x)/a])/(a*c^2*(1 + n))","A",4,4,18,0.2222,1,"{103, 156, 65, 68}"
947,1,190,0,0.2175588,"\int \frac{(a+b x)^n}{x^2 (c+d x)^2} \, dx","Int[(a + b*x)^n/(x^2*(c + d*x)^2),x]","\frac{(a+b x)^{n+1} (2 a d-b c n) \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a^2 c^3 (n+1)}-\frac{d^2 (a+b x)^{n+1} (2 a d-b c (2-n)) \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{c^3 (n+1) (b c-a d)^2}-\frac{d (b c-2 a d) (a+b x)^{n+1}}{a c^2 (c+d x) (b c-a d)}-\frac{(a+b x)^{n+1}}{a c x (c+d x)}","\frac{(a+b x)^{n+1} (2 a d-b c n) \, _2F_1\left(1,n+1;n+2;\frac{b x}{a}+1\right)}{a^2 c^3 (n+1)}-\frac{d^2 (a+b x)^{n+1} (2 a d-b c (2-n)) \, _2F_1\left(1,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{c^3 (n+1) (b c-a d)^2}-\frac{d (b c-2 a d) (a+b x)^{n+1}}{a c^2 (c+d x) (b c-a d)}-\frac{(a+b x)^{n+1}}{a c x (c+d x)}",1,"-((d*(b*c - 2*a*d)*(a + b*x)^(1 + n))/(a*c^2*(b*c - a*d)*(c + d*x))) - (a + b*x)^(1 + n)/(a*c*x*(c + d*x)) - (d^2*(2*a*d - b*c*(2 - n))*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(c^3*(b*c - a*d)^2*(1 + n)) + ((2*a*d - b*c*n)*(a + b*x)^(1 + n)*Hypergeometric2F1[1, 1 + n, 2 + n, 1 + (b*x)/a])/(a^2*c^3*(1 + n))","A",5,5,18,0.2778,1,"{103, 151, 156, 65, 68}"
948,1,195,0,0.1246826,"\int (b x)^{5/2} (c+d x)^n (e+f x)^2 \, dx","Int[(b*x)^(5/2)*(c + d*x)^n*(e + f*x)^2,x]","\frac{2 (b x)^{7/2} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} \left(63 c^2 f^2-14 c d e f (2 n+11)+d^2 e^2 \left(4 n^2+40 n+99\right)\right) \, _2F_1\left(\frac{7}{2},-n;\frac{9}{2};-\frac{d x}{c}\right)}{7 b d^2 (2 n+9) (2 n+11)}-\frac{2 f (b x)^{7/2} (c+d x)^{n+1} (9 c f-d e (2 n+13))}{b d^2 (2 n+9) (2 n+11)}+\frac{2 f (b x)^{7/2} (e+f x) (c+d x)^{n+1}}{b d (2 n+11)}","\frac{2 (b x)^{7/2} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} \left(63 c^2 f^2-14 c d e f (2 n+11)+d^2 e^2 \left(4 n^2+40 n+99\right)\right) \, _2F_1\left(\frac{7}{2},-n;\frac{9}{2};-\frac{d x}{c}\right)}{7 b d^2 (2 n+9) (2 n+11)}-\frac{2 f (b x)^{7/2} (c+d x)^{n+1} (9 c f-d e (2 n+13))}{b d^2 (2 n+9) (2 n+11)}+\frac{2 f (b x)^{7/2} (e+f x) (c+d x)^{n+1}}{b d (2 n+11)}",1,"(-2*f*(9*c*f - d*e*(13 + 2*n))*(b*x)^(7/2)*(c + d*x)^(1 + n))/(b*d^2*(9 + 2*n)*(11 + 2*n)) + (2*f*(b*x)^(7/2)*(c + d*x)^(1 + n)*(e + f*x))/(b*d*(11 + 2*n)) + (2*(63*c^2*f^2 - 14*c*d*e*f*(11 + 2*n) + d^2*e^2*(99 + 40*n + 4*n^2))*(b*x)^(7/2)*(c + d*x)^n*Hypergeometric2F1[7/2, -n, 9/2, -((d*x)/c)])/(7*b*d^2*(9 + 2*n)*(11 + 2*n)*(1 + (d*x)/c)^n)","A",4,4,22,0.1818,1,"{90, 80, 66, 64}"
949,1,107,0,0.0438067,"\int (b x)^{5/2} (c+d x)^n (e+f x) \, dx","Int[(b*x)^(5/2)*(c + d*x)^n*(e + f*x),x]","\frac{2 f (b x)^{7/2} (c+d x)^{n+1}}{b d (2 n+9)}-\frac{2 (b x)^{7/2} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} (7 c f-d e (2 n+9)) \, _2F_1\left(\frac{7}{2},-n;\frac{9}{2};-\frac{d x}{c}\right)}{7 b d (2 n+9)}","\frac{2 f (b x)^{7/2} (c+d x)^{n+1}}{b d (2 n+9)}-\frac{2 (b x)^{7/2} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} (7 c f-d e (2 n+9)) \, _2F_1\left(\frac{7}{2},-n;\frac{9}{2};-\frac{d x}{c}\right)}{7 b d (2 n+9)}",1,"(2*f*(b*x)^(7/2)*(c + d*x)^(1 + n))/(b*d*(9 + 2*n)) - (2*(7*c*f - d*e*(9 + 2*n))*(b*x)^(7/2)*(c + d*x)^n*Hypergeometric2F1[7/2, -n, 9/2, -((d*x)/c)])/(7*b*d*(9 + 2*n)*(1 + (d*x)/c)^n)","A",3,3,20,0.1500,1,"{80, 66, 64}"
950,1,61,0,0.0807549,"\int \frac{(b x)^{5/2} (c+d x)^n}{e+f x} \, dx","Int[((b*x)^(5/2)*(c + d*x)^n)/(e + f*x),x]","\frac{2 (b x)^{7/2} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} F_1\left(\frac{7}{2};-n,1;\frac{9}{2};-\frac{d x}{c},-\frac{f x}{e}\right)}{7 b e}","\frac{2 (b x)^{7/2} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} F_1\left(\frac{7}{2};-n,1;\frac{9}{2};-\frac{d x}{c},-\frac{f x}{e}\right)}{7 b e}",1,"(2*(b*x)^(7/2)*(c + d*x)^n*AppellF1[7/2, -n, 1, 9/2, -((d*x)/c), -((f*x)/e)])/(7*b*e*(1 + (d*x)/c)^n)","A",3,3,22,0.1364,1,"{130, 511, 510}"
951,1,61,0,0.0775913,"\int \frac{(b x)^{5/2} (c+d x)^n}{(e+f x)^2} \, dx","Int[((b*x)^(5/2)*(c + d*x)^n)/(e + f*x)^2,x]","\frac{2 (b x)^{7/2} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} F_1\left(\frac{7}{2};-n,2;\frac{9}{2};-\frac{d x}{c},-\frac{f x}{e}\right)}{7 b e^2}","\frac{2 (b x)^{7/2} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} F_1\left(\frac{7}{2};-n,2;\frac{9}{2};-\frac{d x}{c},-\frac{f x}{e}\right)}{7 b e^2}",1,"(2*(b*x)^(7/2)*(c + d*x)^n*AppellF1[7/2, -n, 2, 9/2, -((d*x)/c), -((f*x)/e)])/(7*b*e^2*(1 + (d*x)/c)^n)","A",3,3,22,0.1364,1,"{130, 511, 510}"
952,1,209,0,0.1841602,"\int (b x)^m (c+d x)^n (e+f x)^2 \, dx","Int[(b*x)^m*(c + d*x)^n*(e + f*x)^2,x]","\frac{(b x)^{m+1} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} \left(c^2 f^2 \left(m^2+3 m+2\right)-2 c d e f (m+1) (m+n+3)+d^2 e^2 \left(m^2+m (2 n+5)+n^2+5 n+6\right)\right) \, _2F_1\left(m+1,-n;m+2;-\frac{d x}{c}\right)}{b d^2 (m+1) (m+n+2) (m+n+3)}-\frac{f (b x)^{m+1} (c+d x)^{n+1} (c f (m+2)-d e (m+n+4))}{b d^2 (m+n+2) (m+n+3)}+\frac{f (b x)^{m+1} (e+f x) (c+d x)^{n+1}}{b d (m+n+3)}","\frac{(b x)^{m+1} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} \left(c^2 f^2 \left(m^2+3 m+2\right)-2 c d e f (m+1) (m+n+3)+d^2 e^2 \left(m^2+m (2 n+5)+n^2+5 n+6\right)\right) \, _2F_1\left(m+1,-n;m+2;-\frac{d x}{c}\right)}{b d^2 (m+1) (m+n+2) (m+n+3)}-\frac{f (b x)^{m+1} (c+d x)^{n+1} (c f (m+2)-d e (m+n+4))}{b d^2 (m+n+2) (m+n+3)}+\frac{f (b x)^{m+1} (e+f x) (c+d x)^{n+1}}{b d (m+n+3)}",1,"-((f*(c*f*(2 + m) - d*e*(4 + m + n))*(b*x)^(1 + m)*(c + d*x)^(1 + n))/(b*d^2*(2 + m + n)*(3 + m + n))) + (f*(b*x)^(1 + m)*(c + d*x)^(1 + n)*(e + f*x))/(b*d*(3 + m + n)) + ((c^2*f^2*(2 + 3*m + m^2) - 2*c*d*e*f*(1 + m)*(3 + m + n) + d^2*e^2*(6 + m^2 + 5*n + n^2 + m*(5 + 2*n)))*(b*x)^(1 + m)*(c + d*x)^n*Hypergeometric2F1[1 + m, -n, 2 + m, -((d*x)/c)])/(b*d^2*(1 + m)*(2 + m + n)*(3 + m + n)*(1 + (d*x)/c)^n)","A",4,4,20,0.2000,1,"{90, 80, 66, 64}"
953,1,99,0,0.0559674,"\int (b x)^m (c+d x)^n (e+f x) \, dx","Int[(b*x)^m*(c + d*x)^n*(e + f*x),x]","\frac{(b x)^{m+1} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} \left(\frac{e}{m+1}-\frac{c f}{d (m+n+2)}\right) \, _2F_1\left(m+1,-n;m+2;-\frac{d x}{c}\right)}{b}+\frac{f (b x)^{m+1} (c+d x)^{n+1}}{b d (m+n+2)}","\frac{f (b x)^{m+1} (c+d x)^{n+1}}{b d (m+n+2)}-\frac{(b x)^{m+1} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} (c f (m+1)-d e (m+n+2)) \, _2F_1\left(m+1,-n;m+2;-\frac{d x}{c}\right)}{b d (m+1) (m+n+2)}",1,"(f*(b*x)^(1 + m)*(c + d*x)^(1 + n))/(b*d*(2 + m + n)) + ((e/(1 + m) - (c*f)/(d*(2 + m + n)))*(b*x)^(1 + m)*(c + d*x)^n*Hypergeometric2F1[1 + m, -n, 2 + m, -((d*x)/c)])/(b*(1 + (d*x)/c)^n)","A",3,3,18,0.1667,1,"{80, 66, 64}"
954,1,63,0,0.031082,"\int \frac{(b x)^m (c+d x)^n}{e+f x} \, dx","Int[((b*x)^m*(c + d*x)^n)/(e + f*x),x]","\frac{(b x)^{m+1} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} F_1\left(m+1;-n,1;m+2;-\frac{d x}{c},-\frac{f x}{e}\right)}{b e (m+1)}","\frac{(b x)^{m+1} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} F_1\left(m+1;-n,1;m+2;-\frac{d x}{c},-\frac{f x}{e}\right)}{b e (m+1)}",1,"((b*x)^(1 + m)*(c + d*x)^n*AppellF1[1 + m, -n, 1, 2 + m, -((d*x)/c), -((f*x)/e)])/(b*e*(1 + m)*(1 + (d*x)/c)^n)","A",2,2,20,0.1000,1,"{135, 133}"
955,1,63,0,0.0307787,"\int \frac{(b x)^m (c+d x)^n}{(e+f x)^2} \, dx","Int[((b*x)^m*(c + d*x)^n)/(e + f*x)^2,x]","\frac{(b x)^{m+1} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} F_1\left(m+1;-n,2;m+2;-\frac{d x}{c},-\frac{f x}{e}\right)}{b e^2 (m+1)}","\frac{(b x)^{m+1} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} F_1\left(m+1;-n,2;m+2;-\frac{d x}{c},-\frac{f x}{e}\right)}{b e^2 (m+1)}",1,"((b*x)^(1 + m)*(c + d*x)^n*AppellF1[1 + m, -n, 2, 2 + m, -((d*x)/c), -((f*x)/e)])/(b*e^2*(1 + m)*(1 + (d*x)/c)^n)","A",2,2,20,0.1000,1,"{135, 133}"
956,1,81,0,0.0469224,"\int (b x)^m (c+d x)^n (e+f x)^p \, dx","Int[(b*x)^m*(c + d*x)^n*(e + f*x)^p,x]","\frac{(b x)^{m+1} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} (e+f x)^p \left(\frac{f x}{e}+1\right)^{-p} F_1\left(m+1;-n,-p;m+2;-\frac{d x}{c},-\frac{f x}{e}\right)}{b (m+1)}","\frac{(b x)^{m+1} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} (e+f x)^p \left(\frac{f x}{e}+1\right)^{-p} F_1\left(m+1;-n,-p;m+2;-\frac{d x}{c},-\frac{f x}{e}\right)}{b (m+1)}",1,"((b*x)^(1 + m)*(c + d*x)^n*(e + f*x)^p*AppellF1[1 + m, -n, -p, 2 + m, -((d*x)/c), -((f*x)/e)])/(b*(1 + m)*(1 + (d*x)/c)^n*(1 + (f*x)/e)^p)","A",3,2,20,0.1000,1,"{135, 133}"
957,1,238,0,0.173635,"\int (e x)^m (a-b x)^{2+n} (a+b x)^n \, dx","Int[(e*x)^m*(a - b*x)^(2 + n)*(a + b*x)^n,x]","-\frac{2 a b (e x)^{m+2} (a-b x)^n (a+b x)^n \left(1-\frac{b^2 x^2}{a^2}\right)^{-n} \, _2F_1\left(\frac{m+2}{2},-n;\frac{m+4}{2};\frac{b^2 x^2}{a^2}\right)}{e^2 (m+2)}+\frac{b^2 (e x)^{m+3} (a-b x)^n (a+b x)^n \left(1-\frac{b^2 x^2}{a^2}\right)^{-n} \, _2F_1\left(\frac{m+3}{2},-n;\frac{m+5}{2};\frac{b^2 x^2}{a^2}\right)}{e^3 (m+3)}+\frac{a^2 (e x)^{m+1} (a-b x)^n (a+b x)^n \left(1-\frac{b^2 x^2}{a^2}\right)^{-n} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};\frac{b^2 x^2}{a^2}\right)}{e (m+1)}","-\frac{2 a b (e x)^{m+2} (a-b x)^n (a+b x)^n \left(1-\frac{b^2 x^2}{a^2}\right)^{-n} \, _2F_1\left(\frac{m+2}{2},-n;\frac{m+4}{2};\frac{b^2 x^2}{a^2}\right)}{e^2 (m+2)}+\frac{2 a^2 (m+n+2) (e x)^{m+1} (a-b x)^n (a+b x)^n \left(1-\frac{b^2 x^2}{a^2}\right)^{-n} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};\frac{b^2 x^2}{a^2}\right)}{e (m+1) (m+2 n+3)}-\frac{(e x)^{m+1} (a-b x)^{n+1} (a+b x)^{n+1}}{e (m+2 n+3)}",1,"(a^2*(e*x)^(1 + m)*(a - b*x)^n*(a + b*x)^n*Hypergeometric2F1[(1 + m)/2, -n, (3 + m)/2, (b^2*x^2)/a^2])/(e*(1 + m)*(1 - (b^2*x^2)/a^2)^n) - (2*a*b*(e*x)^(2 + m)*(a - b*x)^n*(a + b*x)^n*Hypergeometric2F1[(2 + m)/2, -n, (4 + m)/2, (b^2*x^2)/a^2])/(e^2*(2 + m)*(1 - (b^2*x^2)/a^2)^n) + (b^2*(e*x)^(3 + m)*(a - b*x)^n*(a + b*x)^n*Hypergeometric2F1[(3 + m)/2, -n, (5 + m)/2, (b^2*x^2)/a^2])/(e^3*(3 + m)*(1 - (b^2*x^2)/a^2)^n)","A",11,4,23,0.1739,1,"{127, 126, 365, 364}"
958,1,216,0,0.1870675,"\int x^2 (a+b x)^n (c+d x)^p \, dx","Int[x^2*(a + b*x)^n*(c + d*x)^p,x]","\frac{(a+b x)^{n+1} (c+d x)^p \left(a^2 d^2 \left(p^2+3 p+2\right)+2 a b c d (n+1) (p+1)+b^2 c^2 \left(n^2+3 n+2\right)\right) \left(\frac{b (c+d x)}{b c-a d}\right)^{-p} \, _2F_1\left(n+1,-p;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{b^3 d^2 (n+1) (n+p+2) (n+p+3)}-\frac{(a+b x)^{n+1} (c+d x)^{p+1} (a d (p+2)+b c (n+2))}{b^2 d^2 (n+p+2) (n+p+3)}+\frac{x (a+b x)^{n+1} (c+d x)^{p+1}}{b d (n+p+3)}","-\frac{(a+b x)^{n+1} (c+d x)^{p+1} \left(a^2 d^2 \left(p^2+3 p+2\right)+2 a b c d (n+1) (p+1)+b^2 c^2 \left(n^2+3 n+2\right)\right) \, _2F_1\left(1,n+p+2;p+2;\frac{b (c+d x)}{b c-a d}\right)}{b^2 d^2 (p+1) (n+p+2) (n+p+3) (b c-a d)}-\frac{(a+b x)^{n+1} (c+d x)^{p+1} (a d (p+2)+b c (n+2))}{b^2 d^2 (n+p+2) (n+p+3)}+\frac{x (a+b x)^{n+1} (c+d x)^{p+1}}{b d (n+p+3)}",1,"-(((b*c*(2 + n) + a*d*(2 + p))*(a + b*x)^(1 + n)*(c + d*x)^(1 + p))/(b^2*d^2*(2 + n + p)*(3 + n + p))) + (x*(a + b*x)^(1 + n)*(c + d*x)^(1 + p))/(b*d*(3 + n + p)) + ((b^2*c^2*(2 + 3*n + n^2) + 2*a*b*c*d*(1 + n)*(1 + p) + a^2*d^2*(2 + 3*p + p^2))*(a + b*x)^(1 + n)*(c + d*x)^p*Hypergeometric2F1[1 + n, -p, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(b^3*d^2*(1 + n)*(2 + n + p)*(3 + n + p)*((b*(c + d*x))/(b*c - a*d))^p)","A",4,4,18,0.2222,1,"{90, 80, 70, 69}"
959,1,129,0,0.0557113,"\int x (a+b x)^n (c+d x)^p \, dx","Int[x*(a + b*x)^n*(c + d*x)^p,x]","\frac{(a+b x)^{n+1} (c+d x)^{p+1}}{b d (n+p+2)}-\frac{(a+b x)^{n+1} (c+d x)^p (a d (p+1)+b c (n+1)) \left(\frac{b (c+d x)}{b c-a d}\right)^{-p} \, _2F_1\left(n+1,-p;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{b^2 d (n+1) (n+p+2)}","\frac{(a+b x)^{n+1} (c+d x)^{p+1} (a d (p+1)+b c (n+1)) \, _2F_1\left(1,n+p+2;p+2;\frac{b (c+d x)}{b c-a d}\right)}{b d (p+1) (n+p+2) (b c-a d)}+\frac{(a+b x)^{n+1} (c+d x)^{p+1}}{b d (n+p+2)}",1,"((a + b*x)^(1 + n)*(c + d*x)^(1 + p))/(b*d*(2 + n + p)) - ((b*c*(1 + n) + a*d*(1 + p))*(a + b*x)^(1 + n)*(c + d*x)^p*Hypergeometric2F1[1 + n, -p, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(b^2*d*(1 + n)*(2 + n + p)*((b*(c + d*x))/(b*c - a*d))^p)","A",3,3,16,0.1875,1,"{80, 70, 69}"
960,1,74,0,0.0228391,"\int (a+b x)^n (c+d x)^p \, dx","Int[(a + b*x)^n*(c + d*x)^p,x]","\frac{(a+b x)^{n+1} (c+d x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^{-p} \, _2F_1\left(n+1,-p;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{b (n+1)}","-\frac{(a+b x)^{n+1} (c+d x)^{p+1} \, _2F_1\left(1,n+p+2;p+2;\frac{b (c+d x)}{b c-a d}\right)}{(p+1) (b c-a d)}",1,"((a + b*x)^(1 + n)*(c + d*x)^p*Hypergeometric2F1[1 + n, -p, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(b*(1 + n)*((b*(c + d*x))/(b*c - a*d))^p)","A",2,2,15,0.1333,1,"{70, 69}"
961,1,85,0,0.040364,"\int \frac{(a+b x)^n (c+d x)^p}{x} \, dx","Int[((a + b*x)^n*(c + d*x)^p)/x,x]","-\frac{(a+b x)^{n+1} (c+d x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^{-p} F_1\left(n+1;-p,1;n+2;-\frac{d (a+b x)}{b c-a d},\frac{a+b x}{a}\right)}{a (n+1)}","-\frac{(a+b x)^{n+1} (c+d x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^{-p} F_1\left(n+1;-p,1;n+2;-\frac{d (a+b x)}{b c-a d},\frac{a+b x}{a}\right)}{a (n+1)}",1,"-(((a + b*x)^(1 + n)*(c + d*x)^p*AppellF1[1 + n, -p, 1, 2 + n, -((d*(a + b*x))/(b*c - a*d)), (a + b*x)/a])/(a*(1 + n)*((b*(c + d*x))/(b*c - a*d))^p))","A",2,2,18,0.1111,1,"{137, 136}"
962,1,85,0,0.0373016,"\int \frac{(a+b x)^n (c+d x)^p}{x^2} \, dx","Int[((a + b*x)^n*(c + d*x)^p)/x^2,x]","\frac{b (a+b x)^{n+1} (c+d x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^{-p} F_1\left(n+1;-p,2;n+2;-\frac{d (a+b x)}{b c-a d},\frac{a+b x}{a}\right)}{a^2 (n+1)}","\frac{b (a+b x)^{n+1} (c+d x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^{-p} F_1\left(n+1;-p,2;n+2;-\frac{d (a+b x)}{b c-a d},\frac{a+b x}{a}\right)}{a^2 (n+1)}",1,"(b*(a + b*x)^(1 + n)*(c + d*x)^p*AppellF1[1 + n, -p, 2, 2 + n, -((d*(a + b*x))/(b*c - a*d)), (a + b*x)/a])/(a^2*(1 + n)*((b*(c + d*x))/(b*c - a*d))^p)","A",2,2,18,0.1111,1,"{137, 136}"
963,1,79,0,0.0460917,"\int (b x)^{3/2} (c+d x)^n (e+f x)^p \, dx","Int[(b*x)^(3/2)*(c + d*x)^n*(e + f*x)^p,x]","\frac{2 (b x)^{5/2} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} (e+f x)^p \left(\frac{f x}{e}+1\right)^{-p} F_1\left(\frac{5}{2};-n,-p;\frac{7}{2};-\frac{d x}{c},-\frac{f x}{e}\right)}{5 b}","\frac{2 (b x)^{5/2} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} (e+f x)^p \left(\frac{f x}{e}+1\right)^{-p} F_1\left(\frac{5}{2};-n,-p;\frac{7}{2};-\frac{d x}{c},-\frac{f x}{e}\right)}{5 b}",1,"(2*(b*x)^(5/2)*(c + d*x)^n*(e + f*x)^p*AppellF1[5/2, -n, -p, 7/2, -((d*x)/c), -((f*x)/e)])/(5*b*(1 + (d*x)/c)^n*(1 + (f*x)/e)^p)","A",3,2,22,0.09091,1,"{135, 133}"
964,1,79,0,0.0462138,"\int \sqrt{b x} (c+d x)^n (e+f x)^p \, dx","Int[Sqrt[b*x]*(c + d*x)^n*(e + f*x)^p,x]","\frac{2 (b x)^{3/2} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} (e+f x)^p \left(\frac{f x}{e}+1\right)^{-p} F_1\left(\frac{3}{2};-n,-p;\frac{5}{2};-\frac{d x}{c},-\frac{f x}{e}\right)}{3 b}","\frac{2 (b x)^{3/2} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} (e+f x)^p \left(\frac{f x}{e}+1\right)^{-p} F_1\left(\frac{3}{2};-n,-p;\frac{5}{2};-\frac{d x}{c},-\frac{f x}{e}\right)}{3 b}",1,"(2*(b*x)^(3/2)*(c + d*x)^n*(e + f*x)^p*AppellF1[3/2, -n, -p, 5/2, -((d*x)/c), -((f*x)/e)])/(3*b*(1 + (d*x)/c)^n*(1 + (f*x)/e)^p)","A",3,2,22,0.09091,1,"{135, 133}"
965,1,77,0,0.0468082,"\int \frac{(c+d x)^n (e+f x)^p}{\sqrt{b x}} \, dx","Int[((c + d*x)^n*(e + f*x)^p)/Sqrt[b*x],x]","\frac{2 \sqrt{b x} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} (e+f x)^p \left(\frac{f x}{e}+1\right)^{-p} F_1\left(\frac{1}{2};-n,-p;\frac{3}{2};-\frac{d x}{c},-\frac{f x}{e}\right)}{b}","\frac{2 \sqrt{b x} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} (e+f x)^p \left(\frac{f x}{e}+1\right)^{-p} F_1\left(\frac{1}{2};-n,-p;\frac{3}{2};-\frac{d x}{c},-\frac{f x}{e}\right)}{b}",1,"(2*Sqrt[b*x]*(c + d*x)^n*(e + f*x)^p*AppellF1[1/2, -n, -p, 3/2, -((d*x)/c), -((f*x)/e)])/(b*(1 + (d*x)/c)^n*(1 + (f*x)/e)^p)","A",3,2,22,0.09091,1,"{135, 133}"
966,1,49,0,0.0225794,"\int (b x)^m (\pi +d x)^n (e+f x)^p \, dx","Int[(b*x)^m*(Pi + d*x)^n*(E + f*x)^p,x]","\frac{\pi ^n e^p (b x)^{m+1} F_1\left(m+1;-n,-p;m+2;-\frac{d x}{\pi },-\frac{f x}{e}\right)}{b (m+1)}","\frac{\pi ^n e^p (b x)^{m+1} F_1\left(m+1;-n,-p;m+2;-\frac{d x}{\pi },-\frac{f x}{e}\right)}{b (m+1)}",1,"(E^p*Pi^n*(b*x)^(1 + m)*AppellF1[1 + m, -n, -p, 2 + m, -((d*x)/Pi), -((f*x)/E)])/(b*(1 + m))","A",1,1,20,0.05000,1,"{133}"
967,1,65,0,0.0334091,"\int (b x)^m (\pi +d x)^n (e+f x)^p \, dx","Int[(b*x)^m*(Pi + d*x)^n*(e + f*x)^p,x]","\frac{\pi ^n (b x)^{m+1} (e+f x)^p \left(\frac{f x}{e}+1\right)^{-p} F_1\left(m+1;-n,-p;m+2;-\frac{d x}{\pi },-\frac{f x}{e}\right)}{b (m+1)}","\frac{\pi ^n (b x)^{m+1} (e+f x)^p \left(\frac{f x}{e}+1\right)^{-p} F_1\left(m+1;-n,-p;m+2;-\frac{d x}{\pi },-\frac{f x}{e}\right)}{b (m+1)}",1,"(Pi^n*(b*x)^(1 + m)*(e + f*x)^p*AppellF1[1 + m, -n, -p, 2 + m, -((d*x)/Pi), -((f*x)/e)])/(b*(1 + m)*(1 + (f*x)/e)^p)","A",2,2,20,0.1000,1,"{135, 133}"
968,1,47,0,0.0147463,"\int (b x)^{5/2} (\pi +d x)^n (e+f x)^p \, dx","Int[(b*x)^(5/2)*(Pi + d*x)^n*(E + f*x)^p,x]","\frac{2 \pi ^n e^p (b x)^{7/2} F_1\left(\frac{7}{2};-n,-p;\frac{9}{2};-\frac{d x}{\pi },-\frac{f x}{e}\right)}{7 b}","\frac{2 \pi ^n e^p (b x)^{7/2} F_1\left(\frac{7}{2};-n,-p;\frac{9}{2};-\frac{d x}{\pi },-\frac{f x}{e}\right)}{7 b}",1,"(2*E^p*Pi^n*(b*x)^(7/2)*AppellF1[7/2, -n, -p, 9/2, -((d*x)/Pi), -((f*x)/E)])/(7*b)","A",1,1,22,0.04545,1,"{133}"
969,1,63,0,0.0293217,"\int (b x)^{5/2} (\pi +d x)^n (e+f x)^p \, dx","Int[(b*x)^(5/2)*(Pi + d*x)^n*(e + f*x)^p,x]","\frac{2 \pi ^n (b x)^{7/2} (e+f x)^p \left(\frac{f x}{e}+1\right)^{-p} F_1\left(\frac{7}{2};-n,-p;\frac{9}{2};-\frac{d x}{\pi },-\frac{f x}{e}\right)}{7 b}","\frac{2 \pi ^n (b x)^{7/2} (e+f x)^p \left(\frac{f x}{e}+1\right)^{-p} F_1\left(\frac{7}{2};-n,-p;\frac{9}{2};-\frac{d x}{\pi },-\frac{f x}{e}\right)}{7 b}",1,"(2*Pi^n*(b*x)^(7/2)*(e + f*x)^p*AppellF1[7/2, -n, -p, 9/2, -((d*x)/Pi), -((f*x)/e)])/(7*b*(1 + (f*x)/e)^p)","A",2,2,22,0.09091,1,"{135, 133}"
970,1,295,0,0.2492164,"\int x^3 (a+b x)^n (c+d x)^{-n} \, dx","Int[(x^3*(a + b*x)^n)/(c + d*x)^n,x]","-\frac{(a+b x)^{n+1} (c+d x)^{-n} \left(3 a^2 b c d^2 \left(n^3-2 n^2-n+2\right)+a^3 d^3 \left(-n^3+6 n^2-11 n+6\right)+3 a b^2 c^2 d \left(-n^3-2 n^2+n+2\right)+b^3 c^3 \left(n^3+6 n^2+11 n+6\right)\right) \left(\frac{b (c+d x)}{b c-a d}\right)^n \, _2F_1\left(n,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{24 b^4 d^3 (n+1)}+\frac{(a+b x)^{n+1} (c+d x)^{1-n} \left(a^2 d^2 \left(n^2-5 n+6\right)+2 a b c d \left(3-n^2\right)-2 b d x (a d (3-n)+b c (n+3))+b^2 c^2 \left(n^2+5 n+6\right)\right)}{24 b^3 d^3}+\frac{x^2 (a+b x)^{n+1} (c+d x)^{1-n}}{4 b d}","-\frac{(a+b x)^{n+1} (c+d x)^{-n} \left(3 a^2 b c d^2 \left(n^3-2 n^2-n+2\right)+a^3 d^3 \left(-n^3+6 n^2-11 n+6\right)+3 a b^2 c^2 d \left(-n^3-2 n^2+n+2\right)+b^3 c^3 \left(n^3+6 n^2+11 n+6\right)\right) \left(\frac{b (c+d x)}{b c-a d}\right)^n \, _2F_1\left(n,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{24 b^4 d^3 (n+1)}+\frac{(a+b x)^{n+1} (c+d x)^{1-n} \left(a^2 d^2 \left(n^2-5 n+6\right)+2 a b c d \left(3-n^2\right)-2 b d x (a d (3-n)+b c (n+3))+b^2 c^2 \left(n^2+5 n+6\right)\right)}{24 b^3 d^3}+\frac{x^2 (a+b x)^{n+1} (c+d x)^{1-n}}{4 b d}",1,"(x^2*(a + b*x)^(1 + n)*(c + d*x)^(1 - n))/(4*b*d) + ((a + b*x)^(1 + n)*(c + d*x)^(1 - n)*(2*a*b*c*d*(3 - n^2) + a^2*d^2*(6 - 5*n + n^2) + b^2*c^2*(6 + 5*n + n^2) - 2*b*d*(a*d*(3 - n) + b*c*(3 + n))*x))/(24*b^3*d^3) - ((3*a*b^2*c^2*d*(2 + n - 2*n^2 - n^3) + a^3*d^3*(6 - 11*n + 6*n^2 - n^3) + 3*a^2*b*c*d^2*(2 - n - 2*n^2 + n^3) + b^3*c^3*(6 + 11*n + 6*n^2 + n^3))*(a + b*x)^(1 + n)*((b*(c + d*x))/(b*c - a*d))^n*Hypergeometric2F1[n, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(24*b^4*d^3*(1 + n)*(c + d*x)^n)","A",4,4,20,0.2000,1,"{100, 147, 70, 69}"
971,1,199,0,0.1447287,"\int x^2 (a+b x)^n (c+d x)^{-n} \, dx","Int[(x^2*(a + b*x)^n)/(c + d*x)^n,x]","\frac{(a+b x)^{n+1} (c+d x)^{-n} \left(a^2 d^2 \left(n^2-3 n+2\right)+2 a b c d \left(1-n^2\right)+b^2 c^2 \left(n^2+3 n+2\right)\right) \left(\frac{b (c+d x)}{b c-a d}\right)^n \, _2F_1\left(n,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{6 b^3 d^2 (n+1)}-\frac{(a+b x)^{n+1} (c+d x)^{1-n} (a d (2-n)+b c (n+2))}{6 b^2 d^2}+\frac{x (a+b x)^{n+1} (c+d x)^{1-n}}{3 b d}","\frac{(a+b x)^{n+1} (c+d x)^{-n} \left(a^2 d^2 \left(n^2-3 n+2\right)+2 a b c d \left(1-n^2\right)+b^2 c^2 \left(n^2+3 n+2\right)\right) \left(\frac{b (c+d x)}{b c-a d}\right)^n \, _2F_1\left(n,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{6 b^3 d^2 (n+1)}-\frac{(a+b x)^{n+1} (c+d x)^{1-n} (a d (2-n)+b c (n+2))}{6 b^2 d^2}+\frac{x (a+b x)^{n+1} (c+d x)^{1-n}}{3 b d}",1,"-((a*d*(2 - n) + b*c*(2 + n))*(a + b*x)^(1 + n)*(c + d*x)^(1 - n))/(6*b^2*d^2) + (x*(a + b*x)^(1 + n)*(c + d*x)^(1 - n))/(3*b*d) + ((2*a*b*c*d*(1 - n^2) + a^2*d^2*(2 - 3*n + n^2) + b^2*c^2*(2 + 3*n + n^2))*(a + b*x)^(1 + n)*((b*(c + d*x))/(b*c - a*d))^n*Hypergeometric2F1[n, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(6*b^3*d^2*(1 + n)*(c + d*x)^n)","A",4,4,20,0.2000,1,"{90, 80, 70, 69}"
972,1,120,0,0.0511325,"\int x (a+b x)^n (c+d x)^{-n} \, dx","Int[(x*(a + b*x)^n)/(c + d*x)^n,x]","\frac{(a+b x)^{n+1} (c+d x)^{1-n}}{2 b d}-\frac{(a+b x)^{n+1} (c+d x)^{-n} \left(\frac{a (1-n)}{n+1}+\frac{b c}{d}\right) \left(\frac{b (c+d x)}{b c-a d}\right)^n \, _2F_1\left(n,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{2 b^2}","\frac{(a+b x)^{n+1} (c+d x)^{1-n}}{2 b d}-\frac{(a+b x)^{n+1} (c+d x)^{-n} (a d (1-n)+b c (n+1)) \left(\frac{b (c+d x)}{b c-a d}\right)^n \, _2F_1\left(n,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{2 b^2 d (n+1)}",1,"((a + b*x)^(1 + n)*(c + d*x)^(1 - n))/(2*b*d) - (((b*c)/d + (a*(1 - n))/(1 + n))*(a + b*x)^(1 + n)*((b*(c + d*x))/(b*c - a*d))^n*Hypergeometric2F1[n, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(2*b^2*(c + d*x)^n)","A",3,3,18,0.1667,1,"{80, 70, 69}"
973,1,72,0,0.0216874,"\int (a+b x)^n (c+d x)^{-n} \, dx","Int[(a + b*x)^n/(c + d*x)^n,x]","\frac{(a+b x)^{n+1} (c+d x)^{-n} \left(\frac{b (c+d x)}{b c-a d}\right)^n \, _2F_1\left(n,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{b (n+1)}","\frac{(a+b x)^{n+1} (c+d x)^{-n} \left(\frac{b (c+d x)}{b c-a d}\right)^n \, _2F_1\left(n,n+1;n+2;-\frac{d (a+b x)}{b c-a d}\right)}{b (n+1)}",1,"((a + b*x)^(1 + n)*((b*(c + d*x))/(b*c - a*d))^n*Hypergeometric2F1[n, 1 + n, 2 + n, -((d*(a + b*x))/(b*c - a*d))])/(b*(1 + n)*(c + d*x)^n)","A",2,2,17,0.1176,1,"{70, 69}"
974,1,108,0,0.0492434,"\int \frac{(a+b x)^n (c+d x)^{-n}}{x} \, dx","Int[(a + b*x)^n/(x*(c + d*x)^n),x]","\frac{(a+b x)^n (c+d x)^{-n} \left(\frac{b (c+d x)}{b c-a d}\right)^n \, _2F_1\left(n,n;n+1;-\frac{d (a+b x)}{b c-a d}\right)}{n}-\frac{(a+b x)^n (c+d x)^{-n} \, _2F_1\left(1,n;n+1;\frac{c (a+b x)}{a (c+d x)}\right)}{n}","\frac{(a+b x)^n (c+d x)^{-n} \left(\frac{b (c+d x)}{b c-a d}\right)^n \, _2F_1\left(n,n;n+1;-\frac{d (a+b x)}{b c-a d}\right)}{n}-\frac{(a+b x)^n (c+d x)^{-n} \, _2F_1\left(1,n;n+1;\frac{c (a+b x)}{a (c+d x)}\right)}{n}",1,"-(((a + b*x)^n*Hypergeometric2F1[1, n, 1 + n, (c*(a + b*x))/(a*(c + d*x))])/(n*(c + d*x)^n)) + ((a + b*x)^n*((b*(c + d*x))/(b*c - a*d))^n*Hypergeometric2F1[n, n, 1 + n, -((d*(a + b*x))/(b*c - a*d))])/(n*(c + d*x)^n)","A",4,4,20,0.2000,1,"{105, 70, 69, 131}"
975,1,62,0,0.0143239,"\int \frac{(a+b x)^n (c+d x)^{-n}}{x^2} \, dx","Int[(a + b*x)^n/(x^2*(c + d*x)^n),x]","\frac{(b c-a d) (a+b x)^{n+1} (c+d x)^{-n-1} \, _2F_1\left(2,n+1;n+2;\frac{c (a+b x)}{a (c+d x)}\right)}{a^2 (n+1)}","\frac{(b c-a d) (a+b x)^{n+1} (c+d x)^{-n-1} \, _2F_1\left(2,n+1;n+2;\frac{c (a+b x)}{a (c+d x)}\right)}{a^2 (n+1)}",1,"((b*c - a*d)*(a + b*x)^(1 + n)*(c + d*x)^(-1 - n)*Hypergeometric2F1[2, 1 + n, 2 + n, (c*(a + b*x))/(a*(c + d*x))])/(a^2*(1 + n))","A",1,1,20,0.05000,1,"{131}"
976,1,117,0,0.0462151,"\int \frac{(a+b x)^n (c+d x)^{-n}}{x^3} \, dx","Int[(a + b*x)^n/(x^3*(c + d*x)^n),x]","-\frac{(b c-a d) (a+b x)^{n+1} (c+d x)^{-n-1} (a d (n+1)+b (c-c n)) \, _2F_1\left(2,n+1;n+2;\frac{c (a+b x)}{a (c+d x)}\right)}{2 a^3 c (n+1)}-\frac{(a+b x)^{n+1} (c+d x)^{1-n}}{2 a c x^2}","-\frac{(b c-a d) (a+b x)^{n+1} (c+d x)^{-n-1} (a d (n+1)+b (c-c n)) \, _2F_1\left(2,n+1;n+2;\frac{c (a+b x)}{a (c+d x)}\right)}{2 a^3 c (n+1)}-\frac{(a+b x)^{n+1} (c+d x)^{1-n}}{2 a c x^2}",1,"-((a + b*x)^(1 + n)*(c + d*x)^(1 - n))/(2*a*c*x^2) - ((b*c - a*d)*(a*d*(1 + n) + b*(c - c*n))*(a + b*x)^(1 + n)*(c + d*x)^(-1 - n)*Hypergeometric2F1[2, 1 + n, 2 + n, (c*(a + b*x))/(a*(c + d*x))])/(2*a^3*c*(1 + n))","A",2,2,20,0.1000,1,"{96, 131}"
977,1,194,0,0.1417319,"\int \frac{(a+b x)^n (c+d x)^{-n}}{x^4} \, dx","Int[(a + b*x)^n/(x^4*(c + d*x)^n),x]","\frac{(b c-a d) (a+b x)^{n+1} (c+d x)^{-n-1} \left(a^2 d^2 \left(n^2+3 n+2\right)+2 a b c d \left(1-n^2\right)+b^2 c^2 \left(n^2-3 n+2\right)\right) \, _2F_1\left(2,n+1;n+2;\frac{c (a+b x)}{a (c+d x)}\right)}{6 a^4 c^2 (n+1)}+\frac{(a+b x)^{n+1} (c+d x)^{1-n} (a d (n+2)+b c (2-n))}{6 a^2 c^2 x^2}-\frac{(a+b x)^{n+1} (c+d x)^{1-n}}{3 a c x^3}","\frac{(b c-a d) (a+b x)^{n+1} (c+d x)^{-n-1} \left(a^2 d^2 \left(n^2+3 n+2\right)+2 a b c d \left(1-n^2\right)+b^2 c^2 \left(n^2-3 n+2\right)\right) \, _2F_1\left(2,n+1;n+2;\frac{c (a+b x)}{a (c+d x)}\right)}{6 a^4 c^2 (n+1)}+\frac{(a+b x)^{n+1} (c+d x)^{1-n} (a d (n+2)+b c (2-n))}{6 a^2 c^2 x^2}-\frac{(a+b x)^{n+1} (c+d x)^{1-n}}{3 a c x^3}",1,"-((a + b*x)^(1 + n)*(c + d*x)^(1 - n))/(3*a*c*x^3) + ((b*c*(2 - n) + a*d*(2 + n))*(a + b*x)^(1 + n)*(c + d*x)^(1 - n))/(6*a^2*c^2*x^2) + ((b*c - a*d)*(2*a*b*c*d*(1 - n^2) + b^2*c^2*(2 - 3*n + n^2) + a^2*d^2*(2 + 3*n + n^2))*(a + b*x)^(1 + n)*(c + d*x)^(-1 - n)*Hypergeometric2F1[2, 1 + n, 2 + n, (c*(a + b*x))/(a*(c + d*x))])/(6*a^4*c^2*(1 + n))","A",4,4,20,0.2000,1,"{129, 151, 12, 131}"
978,1,105,0,0.0798303,"\int (1-x)^n x^3 (1+x)^{-n} \, dx","Int[((1 - x)^n*x^3)/(1 + x)^n,x]","\frac{2^{-n} n \left(n^2+2\right) (1-x)^{n+1} \, _2F_1\left(n,n+1;n+2;\frac{1-x}{2}\right)}{3 (n+1)}-\frac{1}{12} (1-x)^{n+1} \left(2 n^2-2 n x+3\right) (x+1)^{1-n}-\frac{1}{4} x^2 (1-x)^{n+1} (x+1)^{1-n}","\frac{2^{-n} n \left(n^2+2\right) (1-x)^{n+1} \, _2F_1\left(n,n+1;n+2;\frac{1-x}{2}\right)}{3 (n+1)}-\frac{1}{12} (1-x)^{n+1} \left(2 n^2-2 n x+3\right) (x+1)^{1-n}-\frac{1}{4} x^2 (1-x)^{n+1} (x+1)^{1-n}",1,"-((1 - x)^(1 + n)*x^2*(1 + x)^(1 - n))/4 - ((1 - x)^(1 + n)*(1 + x)^(1 - n)*(3 + 2*n^2 - 2*n*x))/12 + (n*(2 + n^2)*(1 - x)^(1 + n)*Hypergeometric2F1[n, 1 + n, 2 + n, (1 - x)/2])/(3*2^n*(1 + n))","A",3,3,18,0.1667,1,"{100, 147, 69}"
979,1,94,0,0.032461,"\int (1-x)^n x^2 (1+x)^{-n} \, dx","Int[((1 - x)^n*x^2)/(1 + x)^n,x]","-\frac{2^{-n} \left(2 n^2+1\right) (1-x)^{n+1} \, _2F_1\left(n,n+1;n+2;\frac{1-x}{2}\right)}{3 (n+1)}+\frac{1}{3} n (1-x)^{n+1} (x+1)^{1-n}-\frac{1}{3} x (1-x)^{n+1} (x+1)^{1-n}","-\frac{2^{-n} \left(2 n^2+1\right) (1-x)^{n+1} \, _2F_1\left(n,n+1;n+2;\frac{1-x}{2}\right)}{3 (n+1)}+\frac{1}{3} n (1-x)^{n+1} (x+1)^{1-n}-\frac{1}{3} x (1-x)^{n+1} (x+1)^{1-n}",1,"(n*(1 - x)^(1 + n)*(1 + x)^(1 - n))/3 - ((1 - x)^(1 + n)*x*(1 + x)^(1 - n))/3 - ((1 + 2*n^2)*(1 - x)^(1 + n)*Hypergeometric2F1[n, 1 + n, 2 + n, (1 - x)/2])/(3*2^n*(1 + n))","A",3,3,18,0.1667,1,"{90, 80, 69}"
980,1,61,0,0.0126024,"\int (1-x)^n x (1+x)^{-n} \, dx","Int[((1 - x)^n*x)/(1 + x)^n,x]","\frac{2^{-n} n (1-x)^{n+1} \, _2F_1\left(n,n+1;n+2;\frac{1-x}{2}\right)}{n+1}-\frac{1}{2} (1-x)^{n+1} (x+1)^{1-n}","\frac{2^{-n} n (1-x)^{n+1} \, _2F_1\left(n,n+1;n+2;\frac{1-x}{2}\right)}{n+1}-\frac{1}{2} (1-x)^{n+1} (x+1)^{1-n}",1,"-((1 - x)^(1 + n)*(1 + x)^(1 - n))/2 + (n*(1 - x)^(1 + n)*Hypergeometric2F1[n, 1 + n, 2 + n, (1 - x)/2])/(2^n*(1 + n))","A",2,2,16,0.1250,1,"{80, 69}"
981,1,38,0,0.0061471,"\int (1-x)^n (1+x)^{-n} \, dx","Int[(1 - x)^n/(1 + x)^n,x]","-\frac{2^{-n} (1-x)^{n+1} \, _2F_1\left(n,n+1;n+2;\frac{1-x}{2}\right)}{n+1}","-\frac{2^{-n} (1-x)^{n+1} \, _2F_1\left(n,n+1;n+2;\frac{1-x}{2}\right)}{n+1}",1,"-(((1 - x)^(1 + n)*Hypergeometric2F1[n, 1 + n, 2 + n, (1 - x)/2])/(2^n*(1 + n)))","A",1,1,15,0.06667,1,"{69}"
982,1,68,0,0.021044,"\int \frac{(1-x)^n (1+x)^{-n}}{x} \, dx","Int[(1 - x)^n/(x*(1 + x)^n),x]","\frac{2^{-n} (1-x)^n \, _2F_1\left(n,n;n+1;\frac{1-x}{2}\right)}{n}-\frac{(1-x)^n (x+1)^{-n} \, _2F_1\left(1,n;n+1;\frac{1-x}{x+1}\right)}{n}","\frac{2^{-n} (1-x)^n \, _2F_1\left(n,n;n+1;\frac{1-x}{2}\right)}{n}-\frac{(1-x)^n (x+1)^{-n} \, _2F_1\left(1,n;n+1;\frac{1-x}{x+1}\right)}{n}",1,"-(((1 - x)^n*Hypergeometric2F1[1, n, 1 + n, (1 - x)/(1 + x)])/(n*(1 + x)^n)) + ((1 - x)^n*Hypergeometric2F1[n, n, 1 + n, (1 - x)/2])/(2^n*n)","A",3,3,18,0.1667,1,"{105, 69, 131}"
983,1,44,0,0.0098356,"\int \frac{(1-x)^n (1+x)^{-n}}{x^2} \, dx","Int[(1 - x)^n/(x^2*(1 + x)^n),x]","-\frac{2 (1-x)^{n+1} (x+1)^{-n-1} \, _2F_1\left(2,n+1;n+2;\frac{1-x}{x+1}\right)}{n+1}","-\frac{2 (1-x)^{n+1} (x+1)^{-n-1} \, _2F_1\left(2,n+1;n+2;\frac{1-x}{x+1}\right)}{n+1}",1,"(-2*(1 - x)^(1 + n)*(1 + x)^(-1 - n)*Hypergeometric2F1[2, 1 + n, 2 + n, (1 - x)/(1 + x)])/(1 + n)","A",1,1,18,0.05556,1,"{131}"
984,1,71,0,0.0169948,"\int \frac{(1-x)^n (1+x)^{-n}}{x^3} \, dx","Int[(1 - x)^n/(x^3*(1 + x)^n),x]","\frac{2 n (1-x)^{n+1} (x+1)^{-n-1} \, _2F_1\left(2,n+1;n+2;\frac{1-x}{x+1}\right)}{n+1}-\frac{(1-x)^{n+1} (x+1)^{1-n}}{2 x^2}","\frac{2 n (1-x)^{n+1} (x+1)^{-n-1} \, _2F_1\left(2,n+1;n+2;\frac{1-x}{x+1}\right)}{n+1}-\frac{(1-x)^{n+1} (x+1)^{1-n}}{2 x^2}",1,"-((1 - x)^(1 + n)*(1 + x)^(1 - n))/(2*x^2) + (2*n*(1 - x)^(1 + n)*(1 + x)^(-1 - n)*Hypergeometric2F1[2, 1 + n, 2 + n, (1 - x)/(1 + x)])/(1 + n)","A",2,2,18,0.1111,1,"{96, 131}"
985,1,105,0,0.0421368,"\int \frac{(1-x)^n (1+x)^{-n}}{x^4} \, dx","Int[(1 - x)^n/(x^4*(1 + x)^n),x]","-\frac{2 \left(2 n^2+1\right) (1-x)^{n+1} (x+1)^{-n-1} \, _2F_1\left(2,n+1;n+2;\frac{1-x}{x+1}\right)}{3 (n+1)}+\frac{n (1-x)^{n+1} (x+1)^{1-n}}{3 x^2}-\frac{(1-x)^{n+1} (x+1)^{1-n}}{3 x^3}","-\frac{2 \left(2 n^2+1\right) (1-x)^{n+1} (x+1)^{-n-1} \, _2F_1\left(2,n+1;n+2;\frac{1-x}{x+1}\right)}{3 (n+1)}+\frac{n (1-x)^{n+1} (x+1)^{1-n}}{3 x^2}-\frac{(1-x)^{n+1} (x+1)^{1-n}}{3 x^3}",1,"-((1 - x)^(1 + n)*(1 + x)^(1 - n))/(3*x^3) + (n*(1 - x)^(1 + n)*(1 + x)^(1 - n))/(3*x^2) - (2*(1 + 2*n^2)*(1 - x)^(1 + n)*(1 + x)^(-1 - n)*Hypergeometric2F1[2, 1 + n, 2 + n, (1 - x)/(1 + x)])/(3*(1 + n))","A",4,4,18,0.2222,1,"{129, 151, 12, 131}"
986,1,36,0,0.0125551,"\int x^m (1-a x)^n (1+a x)^n \, dx","Int[x^m*(1 - a*x)^n*(1 + a*x)^n,x]","\frac{x^{m+1} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};a^2 x^2\right)}{m+1}","\frac{x^{m+1} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};a^2 x^2\right)}{m+1}",1,"(x^(1 + m)*Hypergeometric2F1[(1 + m)/2, -n, (3 + m)/2, a^2*x^2])/(1 + m)","A",2,2,19,0.1053,1,"{125, 364}"
987,1,39,0,0.0141196,"\int x^m (1-a x)^n (2+2 a x)^n \, dx","Int[x^m*(1 - a*x)^n*(2 + 2*a*x)^n,x]","\frac{2^n x^{m+1} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};a^2 x^2\right)}{m+1}","\frac{2^n x^{m+1} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};a^2 x^2\right)}{m+1}",1,"(2^n*x^(1 + m)*Hypergeometric2F1[(1 + m)/2, -n, (3 + m)/2, a^2*x^2])/(1 + m)","A",2,2,20,0.1000,1,"{125, 364}"
988,1,42,0,0.0137601,"\int x^m (2-a x)^n (2+a x)^n \, dx","Int[x^m*(2 - a*x)^n*(2 + a*x)^n,x]","\frac{4^n x^{m+1} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};\frac{a^2 x^2}{4}\right)}{m+1}","\frac{4^n x^{m+1} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};\frac{a^2 x^2}{4}\right)}{m+1}",1,"(4^n*x^(1 + m)*Hypergeometric2F1[(1 + m)/2, -n, (3 + m)/2, (a^2*x^2)/4])/(1 + m)","A",2,2,19,0.1053,1,"{125, 364}"
989,1,42,0,0.0115878,"\int x^m \left(1-\frac{a x}{2}\right)^n (2+a x)^n \, dx","Int[x^m*(1 - (a*x)/2)^n*(2 + a*x)^n,x]","\frac{2^n x^{m+1} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};\frac{a^2 x^2}{4}\right)}{m+1}","\frac{2^n x^{m+1} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};\frac{a^2 x^2}{4}\right)}{m+1}",1,"(2^n*x^(1 + m)*Hypergeometric2F1[(1 + m)/2, -n, (3 + m)/2, (a^2*x^2)/4])/(1 + m)","A",2,2,21,0.09524,1,"{125, 364}"
990,1,151,0,0.096674,"\int x^m (3-2 a x)^{2+n} (6+4 a x)^n \, dx","Int[x^m*(3 - 2*a*x)^(2 + n)*(6 + 4*a*x)^n,x]","\frac{2^n 9^{n+1} x^{m+1} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};\frac{4 a^2 x^2}{9}\right)}{m+1}-\frac{a 2^{n+2} 3^{2 n+1} x^{m+2} \, _2F_1\left(\frac{m+2}{2},-n;\frac{m+4}{2};\frac{4 a^2 x^2}{9}\right)}{m+2}+\frac{a^2 2^{n+2} 9^n x^{m+3} \, _2F_1\left(\frac{m+3}{2},-n;\frac{m+5}{2};\frac{4 a^2 x^2}{9}\right)}{m+3}","\frac{2^n 9^{n+1} x^{m+1} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};\frac{4 a^2 x^2}{9}\right)}{m+1}-\frac{a 2^{n+2} 3^{2 n+1} x^{m+2} \, _2F_1\left(\frac{m+2}{2},-n;\frac{m+4}{2};\frac{4 a^2 x^2}{9}\right)}{m+2}+\frac{a^2 2^{n+2} 9^n x^{m+3} \, _2F_1\left(\frac{m+3}{2},-n;\frac{m+5}{2};\frac{4 a^2 x^2}{9}\right)}{m+3}",1,"(2^n*9^(1 + n)*x^(1 + m)*Hypergeometric2F1[(1 + m)/2, -n, (3 + m)/2, (4*a^2*x^2)/9])/(1 + m) - (2^(2 + n)*3^(1 + 2*n)*a*x^(2 + m)*Hypergeometric2F1[(2 + m)/2, -n, (4 + m)/2, (4*a^2*x^2)/9])/(2 + m) + (2^(2 + n)*9^n*a^2*x^(3 + m)*Hypergeometric2F1[(3 + m)/2, -n, (5 + m)/2, (4*a^2*x^2)/9])/(3 + m)","A",8,3,22,0.1364,1,"{127, 125, 364}"
991,1,99,0,0.0403721,"\int x^m (3-2 a x)^{1+n} (6+4 a x)^n \, dx","Int[x^m*(3 - 2*a*x)^(1 + n)*(6 + 4*a*x)^n,x]","\frac{2^n 3^{2 n+1} x^{m+1} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};\frac{4 a^2 x^2}{9}\right)}{m+1}-\frac{a 2^{n+1} 9^n x^{m+2} \, _2F_1\left(\frac{m+2}{2},-n;\frac{m+4}{2};\frac{4 a^2 x^2}{9}\right)}{m+2}","\frac{2^n 3^{2 n+1} x^{m+1} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};\frac{4 a^2 x^2}{9}\right)}{m+1}-\frac{a 2^{n+1} 9^n x^{m+2} \, _2F_1\left(\frac{m+2}{2},-n;\frac{m+4}{2};\frac{4 a^2 x^2}{9}\right)}{m+2}",1,"(2^n*3^(1 + 2*n)*x^(1 + m)*Hypergeometric2F1[(1 + m)/2, -n, (3 + m)/2, (4*a^2*x^2)/9])/(1 + m) - (2^(1 + n)*9^n*a*x^(2 + m)*Hypergeometric2F1[(2 + m)/2, -n, (4 + m)/2, (4*a^2*x^2)/9])/(2 + m)","A",5,3,22,0.1364,1,"{82, 125, 364}"
992,1,42,0,0.0128489,"\int x^m (3-2 a x)^n (6+4 a x)^n \, dx","Int[x^m*(3 - 2*a*x)^n*(6 + 4*a*x)^n,x]","\frac{18^n x^{m+1} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};\frac{4 a^2 x^2}{9}\right)}{m+1}","\frac{18^n x^{m+1} \, _2F_1\left(\frac{m+1}{2},-n;\frac{m+3}{2};\frac{4 a^2 x^2}{9}\right)}{m+1}",1,"(18^n*x^(1 + m)*Hypergeometric2F1[(1 + m)/2, -n, (3 + m)/2, (4*a^2*x^2)/9])/(1 + m)","A",2,2,20,0.1000,1,"{125, 364}"
993,1,104,0,0.0544598,"\int x^m (3-2 a x)^{-1+n} (6+4 a x)^n \, dx","Int[x^m*(3 - 2*a*x)^(-1 + n)*(6 + 4*a*x)^n,x]","\frac{2^n 3^{2 n-1} x^{m+1} \, _2F_1\left(\frac{m+1}{2},1-n;\frac{m+3}{2};\frac{4 a^2 x^2}{9}\right)}{m+1}+\frac{a 2^{n+1} 9^{n-1} x^{m+2} \, _2F_1\left(\frac{m+2}{2},1-n;\frac{m+4}{2};\frac{4 a^2 x^2}{9}\right)}{m+2}","\frac{2^n 3^{2 n-1} x^{m+1} \, _2F_1\left(\frac{m+1}{2},1-n;\frac{m+3}{2};\frac{4 a^2 x^2}{9}\right)}{m+1}+\frac{a 2^{n+1} 9^{n-1} x^{m+2} \, _2F_1\left(\frac{m+2}{2},1-n;\frac{m+4}{2};\frac{4 a^2 x^2}{9}\right)}{m+2}",1,"(2^n*3^(-1 + 2*n)*x^(1 + m)*Hypergeometric2F1[(1 + m)/2, 1 - n, (3 + m)/2, (4*a^2*x^2)/9])/(1 + m) + (2^(1 + n)*9^(-1 + n)*a*x^(2 + m)*Hypergeometric2F1[(2 + m)/2, 1 - n, (4 + m)/2, (4*a^2*x^2)/9])/(2 + m)","A",5,3,22,0.1364,1,"{82, 125, 364}"
994,1,158,0,0.112638,"\int x^m (3-2 a x)^{-2+n} (6+4 a x)^n \, dx","Int[x^m*(3 - 2*a*x)^(-2 + n)*(6 + 4*a*x)^n,x]","\frac{2^n 9^{n-1} x^{m+1} \, _2F_1\left(\frac{m+1}{2},2-n;\frac{m+3}{2};\frac{4 a^2 x^2}{9}\right)}{m+1}+\frac{a 2^{n+2} 3^{2 n-3} x^{m+2} \, _2F_1\left(\frac{m+2}{2},2-n;\frac{m+4}{2};\frac{4 a^2 x^2}{9}\right)}{m+2}+\frac{a^2 2^{n+2} 9^{n-2} x^{m+3} \, _2F_1\left(\frac{m+3}{2},2-n;\frac{m+5}{2};\frac{4 a^2 x^2}{9}\right)}{m+3}","\frac{2^n 9^{n-1} x^{m+1} \, _2F_1\left(\frac{m+1}{2},2-n;\frac{m+3}{2};\frac{4 a^2 x^2}{9}\right)}{m+1}+\frac{a 2^{n+2} 3^{2 n-3} x^{m+2} \, _2F_1\left(\frac{m+2}{2},2-n;\frac{m+4}{2};\frac{4 a^2 x^2}{9}\right)}{m+2}+\frac{a^2 2^{n+2} 9^{n-2} x^{m+3} \, _2F_1\left(\frac{m+3}{2},2-n;\frac{m+5}{2};\frac{4 a^2 x^2}{9}\right)}{m+3}",1,"(2^n*9^(-1 + n)*x^(1 + m)*Hypergeometric2F1[(1 + m)/2, 2 - n, (3 + m)/2, (4*a^2*x^2)/9])/(1 + m) + (2^(2 + n)*3^(-3 + 2*n)*a*x^(2 + m)*Hypergeometric2F1[(2 + m)/2, 2 - n, (4 + m)/2, (4*a^2*x^2)/9])/(2 + m) + (2^(2 + n)*9^(-2 + n)*a^2*x^(3 + m)*Hypergeometric2F1[(3 + m)/2, 2 - n, (5 + m)/2, (4*a^2*x^2)/9])/(3 + m)","A",8,3,22,0.1364,1,"{127, 125, 364}"
995,1,79,0,0.0452354,"\int x^m (a+b x)^{1+n} (c+d x)^n \, dx","Int[x^m*(a + b*x)^(1 + n)*(c + d*x)^n,x]","\frac{a x^{m+1} (a+b x)^n \left(\frac{b x}{a}+1\right)^{-n} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} F_1\left(m+1;-n-1,-n;m+2;-\frac{b x}{a},-\frac{d x}{c}\right)}{m+1}","\frac{a x^{m+1} (a+b x)^n \left(\frac{b x}{a}+1\right)^{-n} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} F_1\left(m+1;-n-1,-n;m+2;-\frac{b x}{a},-\frac{d x}{c}\right)}{m+1}",1,"(a*x^(1 + m)*(a + b*x)^n*(c + d*x)^n*AppellF1[1 + m, -1 - n, -n, 2 + m, -((b*x)/a), -((d*x)/c)])/((1 + m)*(1 + (b*x)/a)^n*(1 + (d*x)/c)^n)","A",3,2,20,0.1000,1,"{135, 133}"
996,1,79,0,0.0456763,"\int (a-x)^m (f x)^p (c+d x)^n \, dx","Int[(a - x)^m*(f*x)^p*(c + d*x)^n,x]","\frac{(a-x)^m \left(1-\frac{x}{a}\right)^{-m} (f x)^{p+1} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} F_1\left(p+1;-m,-n;p+2;\frac{x}{a},-\frac{d x}{c}\right)}{f (p+1)}","\frac{(a-x)^m \left(1-\frac{x}{a}\right)^{-m} (f x)^{p+1} (c+d x)^n \left(\frac{d x}{c}+1\right)^{-n} F_1\left(p+1;-m,-n;p+2;\frac{x}{a},-\frac{d x}{c}\right)}{f (p+1)}",1,"((a - x)^m*(f*x)^(1 + p)*(c + d*x)^n*AppellF1[1 + p, -m, -n, 2 + p, x/a, -((d*x)/c)])/(f*(1 + p)*(1 - x/a)^m*(1 + (d*x)/c)^n)","A",3,2,20,0.1000,1,"{135, 133}"
997,1,83,0,0.0208823,"\int (1-x)^{-\frac{1}{2}+p} (c x)^{-2 (1+p)} (1+x)^{\frac{1}{2}+p} \, dx","Int[((1 - x)^(-1/2 + p)*(1 + x)^(1/2 + p))/(c*x)^(2*(1 + p)),x]","-\frac{4^{p+1} (1-x)^{p+\frac{1}{2}} \left(\frac{x}{x+1}\right)^{2 (p+1)} (x+1)^{p+\frac{3}{2}} (c x)^{-2 (p+1)} \, _2F_1\left(p+\frac{1}{2},2 (p+1);p+\frac{3}{2};\frac{1-x}{x+1}\right)}{2 p+1}","-\frac{4^{p+1} (1-x)^{p+\frac{1}{2}} \left(\frac{x}{x+1}\right)^{2 (p+1)} (x+1)^{p+\frac{3}{2}} (c x)^{-2 (p+1)} \, _2F_1\left(p+\frac{1}{2},2 (p+1);p+\frac{3}{2};\frac{1-x}{x+1}\right)}{2 p+1}",1,"-((4^(1 + p)*(1 - x)^(1/2 + p)*(x/(1 + x))^(2*(1 + p))*(1 + x)^(3/2 + p)*Hypergeometric2F1[1/2 + p, 2*(1 + p), 3/2 + p, (1 - x)/(1 + x)])/((1 + 2*p)*(c*x)^(2*(1 + p))))","A",1,1,30,0.03333,1,"{132}"
998,1,70,0,0.0169073,"\int \frac{\left(1-\frac{x}{a}\right)^{-n/2} \left(1+\frac{x}{a}\right)^{n/2}}{x^2} \, dx","Int[(1 + x/a)^(n/2)/(x^2*(1 - x/a)^(n/2)),x]","-\frac{4 \left(1-\frac{x}{a}\right)^{1-\frac{n}{2}} \left(\frac{x}{a}+1\right)^{\frac{n-2}{2}} \, _2F_1\left(2,1-\frac{n}{2};2-\frac{n}{2};\frac{a-x}{a+x}\right)}{a (2-n)}","-\frac{4 \left(1-\frac{x}{a}\right)^{1-\frac{n}{2}} \left(\frac{x}{a}+1\right)^{\frac{n-2}{2}} \, _2F_1\left(2,1-\frac{n}{2};2-\frac{n}{2};\frac{a-x}{a+x}\right)}{a (2-n)}",1,"(-4*(1 - x/a)^(1 - n/2)*(1 + x/a)^((-2 + n)/2)*Hypergeometric2F1[2, 1 - n/2, 2 - n/2, (a - x)/(a + x)])/(a*(2 - n))","A",1,1,31,0.03226,1,"{131}"
999,1,50,0,0.0184492,"\int (b x)^{-2-2 m} (1-a x)^m (1+a x)^m \, dx","Int[(b*x)^(-2 - 2*m)*(1 - a*x)^m*(1 + a*x)^m,x]","-\frac{(b x)^{-2 m-1} \, _2F_1\left(\frac{1}{2} (-2 m-1),-m;\frac{1}{2} (1-2 m);a^2 x^2\right)}{b (2 m+1)}","-\frac{(b x)^{-2 m-1} \, _2F_1\left(\frac{1}{2} (-2 m-1),-m;\frac{1}{2} (1-2 m);a^2 x^2\right)}{b (2 m+1)}",1,"-(((b*x)^(-1 - 2*m)*Hypergeometric2F1[(-1 - 2*m)/2, -m, (1 - 2*m)/2, a^2*x^2])/(b*(1 + 2*m)))","A",2,2,25,0.08000,1,"{125, 364}"
1000,1,86,0,0.0296242,"\int \frac{(1-a x)^{-n} (1+a x)^n}{x} \, dx","Int[(1 + a*x)^n/(x*(1 - a*x)^n),x]","\frac{(1-a x)^{-n} (a x+1)^n \, _2F_1\left(1,-n;1-n;\frac{1-a x}{a x+1}\right)}{n}-\frac{2^n (1-a x)^{-n} \, _2F_1\left(-n,-n;1-n;\frac{1}{2} (1-a x)\right)}{n}","\frac{(1-a x)^{-n} (a x+1)^n \, _2F_1\left(1,-n;1-n;\frac{1-a x}{a x+1}\right)}{n}-\frac{2^n (1-a x)^{-n} \, _2F_1\left(-n,-n;1-n;\frac{1}{2} (1-a x)\right)}{n}",1,"((1 + a*x)^n*Hypergeometric2F1[1, -n, 1 - n, (1 - a*x)/(1 + a*x)])/(n*(1 - a*x)^n) - (2^n*Hypergeometric2F1[-n, -n, 1 - n, (1 - a*x)/2])/(n*(1 - a*x)^n)","A",3,3,21,0.1429,1,"{105, 69, 131}"
1001,1,48,0,0.0188463,"\int \frac{(1-a x)^{1-n} (1+a x)^{1+n}}{x^2} \, dx","Int[((1 - a*x)^(1 - n)*(1 + a*x)^(1 + n))/x^2,x]","\frac{a 2^{1-n} (a x+1)^{n+2} F_1\left(n+2;n-1,2;n+3;\frac{1}{2} (a x+1),a x+1\right)}{n+2}","\frac{a 2^n (1-a x)^{1-n} \, _2F_1\left(1-n,-n;2-n;\frac{1}{2} (1-a x)\right)}{1-n}-\frac{2 a (1-a x)^{1-n} (a x+1)^{n-1} \, _2F_1\left(2,1-n;2-n;\frac{1-a x}{a x+1}\right)}{1-n}",1,"(2^(1 - n)*a*(1 + a*x)^(2 + n)*AppellF1[2 + n, -1 + n, 2, 3 + n, (1 + a*x)/2, 1 + a*x])/(2 + n)","C",1,1,25,0.04000,0,"{136}"
1002,1,28,0,0.0045999,"\int \frac{x^2}{(1-a x)^7 (1+a x)^4} \, dx","Int[x^2/((1 - a*x)^7*(1 + a*x)^4),x]","-\frac{1-3 a x}{24 a^3 (1-a x)^6 (a x+1)^3}","-\frac{1-3 a x}{24 a^3 (1-a x)^6 (a x+1)^3}",1,"-(1 - 3*a*x)/(24*a^3*(1 - a*x)^6*(1 + a*x)^3)","A",1,1,19,0.05263,1,"{81}"
1003,1,28,0,0.0050803,"\int \frac{x^2}{(1-a x)^{11} (1+a x)^7} \, dx","Int[x^2/((1 - a*x)^11*(1 + a*x)^7),x]","-\frac{1-4 a x}{60 a^3 (1-a x)^{10} (a x+1)^6}","-\frac{1-4 a x}{60 a^3 (1-a x)^{10} (a x+1)^6}",1,"-(1 - 4*a*x)/(60*a^3*(1 - a*x)^10*(1 + a*x)^6)","A",1,1,19,0.05263,1,"{81}"
1004,1,28,0,0.0049202,"\int \frac{x^2}{(1-a x)^{16} (1+a x)^{11}} \, dx","Int[x^2/((1 - a*x)^16*(1 + a*x)^11),x]","-\frac{1-5 a x}{120 a^3 (1-a x)^{15} (a x+1)^{10}}","-\frac{1-5 a x}{120 a^3 (1-a x)^{15} (a x+1)^{10}}",1,"-(1 - 5*a*x)/(120*a^3*(1 - a*x)^15*(1 + a*x)^10)","A",1,1,19,0.05263,1,"{81}"
1005,1,54,0,0.0157026,"\int x^2 (1-a x)^{-1-\frac{1}{2} n (1+n)} (1+a x)^{-1-\frac{1}{2} (-1+n) n} \, dx","Int[x^2*(1 - a*x)^(-1 - (n*(1 + n))/2)*(1 + a*x)^(-1 - ((-1 + n)*n)/2),x]","\frac{(1-a x)^{-\frac{1}{2} n (n+1)} (a x+1)^{\frac{1}{2} (1-n) n} (1-a n x)}{a^3 n \left(1-n^2\right)}","\frac{(1-a x)^{-\frac{1}{2} n (n+1)} (a x+1)^{\frac{1}{2} (1-n) n} (1-a n x)}{a^3 n \left(1-n^2\right)}",1,"((1 + a*x)^(((1 - n)*n)/2)*(1 - a*n*x))/(a^3*n*(1 - n^2)*(1 - a*x)^((n*(1 + n))/2))","A",1,1,37,0.02703,1,"{81}"
1006,1,173,0,0.0952356,"\int \frac{(a-b x)^{-n} (a+b x)^{1+n}}{x} \, dx","Int[(a + b*x)^(1 + n)/(x*(a - b*x)^n),x]","\frac{a (a+b x)^n (a-b x)^{-n} \, _2F_1\left(1,-n;1-n;\frac{a-b x}{a+b x}\right)}{n}-\frac{a 2^n (a+b x)^n \left(\frac{a+b x}{a}\right)^{-n} (a-b x)^{-n} \, _2F_1\left(-n,-n;1-n;\frac{a-b x}{2 a}\right)}{n}+\frac{2^{-n} \left(\frac{a-b x}{a}\right)^n (a+b x)^{n+1} (a-b x)^{-n} \, _2F_1\left(n,n+1;n+2;\frac{a+b x}{2 a}\right)}{n+1}","-\frac{a (a+b x)^n (a-b x)^{-n} \, _2F_1\left(1,n;n+1;\frac{a+b x}{a-b x}\right)}{n}+\frac{2^{-n-1} (2 n+1) \left(\frac{a-b x}{a}\right)^n (a+b x)^{n+1} (a-b x)^{-n} \, _2F_1\left(n,n+1;n+2;\frac{a+b x}{2 a}\right)}{n (n+1)}+\frac{(a+b x)^n (a-b x)^{1-n}}{2 n}",1,"(a*(a + b*x)^n*Hypergeometric2F1[1, -n, 1 - n, (a - b*x)/(a + b*x)])/(n*(a - b*x)^n) - (2^n*a*(a + b*x)^n*Hypergeometric2F1[-n, -n, 1 - n, (a - b*x)/(2*a)])/(n*(a - b*x)^n*((a + b*x)/a)^n) + (((a - b*x)/a)^n*(a + b*x)^(1 + n)*Hypergeometric2F1[n, 1 + n, 2 + n, (a + b*x)/(2*a)])/(2^n*(1 + n)*(a - b*x)^n)","A",7,4,23,0.1739,1,"{105, 70, 69, 131}"
1007,1,76,0,0.0374907,"\int \frac{(a-b x)^{-n} (a+b x)^{1+n}}{x^2} \, dx","Int[(a + b*x)^(1 + n)/(x^2*(a - b*x)^n),x]","\frac{b 2^{-n} (a-b x)^{-n} \left(\frac{a-b x}{a}\right)^n (a+b x)^{n+2} F_1\left(n+2;n,2;n+3;\frac{a+b x}{2 a},\frac{a+b x}{a}\right)}{a^2 (n+2)}","\frac{b (2 n+1) (a+b x)^n (a-b x)^{-n} \, _2F_1\left(1,-n;1-n;\frac{a-b x}{a+b x}\right)}{n}-\frac{b 2^n (a+b x)^n \left(\frac{a+b x}{a}\right)^{-n} (a-b x)^{-n} \, _2F_1\left(-n,-n;1-n;\frac{a-b x}{2 a}\right)}{n}-\frac{(a+b x)^{n+1} (a-b x)^{-n}}{x}",1,"(b*((a - b*x)/a)^n*(a + b*x)^(2 + n)*AppellF1[2 + n, n, 2, 3 + n, (a + b*x)/(2*a), (a + b*x)/a])/(2^n*a^2*(2 + n)*(a - b*x)^n)","C",2,2,23,0.08696,0,"{137, 136}"
1008,1,62,0,0.0175386,"\int \frac{(a-b x)^{-n} (a+b x)^{1+n}}{x^3} \, dx","Int[(a + b*x)^(1 + n)/(x^3*(a - b*x)^n),x]","-\frac{4 b^2 (a-b x)^{1-n} (a+b x)^{n-1} \, _2F_1\left(3,1-n;2-n;\frac{a-b x}{a+b x}\right)}{a (1-n)}","-\frac{4 b^2 (a-b x)^{1-n} (a+b x)^{n-1} \, _2F_1\left(3,1-n;2-n;\frac{a-b x}{a+b x}\right)}{a (1-n)}",1,"(-4*b^2*(a - b*x)^(1 - n)*(a + b*x)^(-1 + n)*Hypergeometric2F1[3, 1 - n, 2 - n, (a - b*x)/(a + b*x)])/(a*(1 - n))","A",1,1,23,0.04348,1,"{131}"
1009,1,101,0,0.0378193,"\int \frac{(a-b x)^{-n} (a+b x)^{1+n}}{x^4} \, dx","Int[(a + b*x)^(1 + n)/(x^4*(a - b*x)^n),x]","-\frac{4 b^3 (2 n+1) (a+b x)^{n-1} (a-b x)^{1-n} \, _2F_1\left(3,1-n;2-n;\frac{a-b x}{a+b x}\right)}{3 a^2 (1-n)}-\frac{(a+b x)^{n+2} (a-b x)^{1-n}}{3 a^2 x^3}","-\frac{4 b^3 (2 n+1) (a+b x)^{n-1} (a-b x)^{1-n} \, _2F_1\left(3,1-n;2-n;\frac{a-b x}{a+b x}\right)}{3 a^2 (1-n)}-\frac{(a+b x)^{n+2} (a-b x)^{1-n}}{3 a^2 x^3}",1,"-((a - b*x)^(1 - n)*(a + b*x)^(2 + n))/(3*a^2*x^3) - (4*b^3*(1 + 2*n)*(a - b*x)^(1 - n)*(a + b*x)^(-1 + n)*Hypergeometric2F1[3, 1 - n, 2 - n, (a - b*x)/(a + b*x)])/(3*a^2*(1 - n))","A",2,2,23,0.08696,1,"{96, 131}"
1010,1,139,0,0.0696251,"\int \frac{(a-b x)^{-n} (a+b x)^{1+n}}{x^5} \, dx","Int[(a + b*x)^(1 + n)/(x^5*(a - b*x)^n),x]","-\frac{4 b^4 \left(n^2+n+1\right) (a+b x)^{n-1} (a-b x)^{1-n} \, _2F_1\left(3,1-n;2-n;\frac{a-b x}{a+b x}\right)}{3 a^3 (1-n)}-\frac{b (2 n+1) (a+b x)^{n+2} (a-b x)^{1-n}}{12 a^3 x^3}-\frac{(a+b x)^{n+2} (a-b x)^{1-n}}{4 a^2 x^4}","-\frac{4 b^4 \left(n^2+n+1\right) (a+b x)^{n-1} (a-b x)^{1-n} \, _2F_1\left(3,1-n;2-n;\frac{a-b x}{a+b x}\right)}{3 a^3 (1-n)}-\frac{b (2 n+1) (a+b x)^{n+2} (a-b x)^{1-n}}{12 a^3 x^3}-\frac{(a+b x)^{n+2} (a-b x)^{1-n}}{4 a^2 x^4}",1,"-((a - b*x)^(1 - n)*(a + b*x)^(2 + n))/(4*a^2*x^4) - (b*(1 + 2*n)*(a - b*x)^(1 - n)*(a + b*x)^(2 + n))/(12*a^3*x^3) - (4*b^4*(1 + n + n^2)*(a - b*x)^(1 - n)*(a + b*x)^(-1 + n)*Hypergeometric2F1[3, 1 - n, 2 - n, (a - b*x)/(a + b*x)])/(3*a^3*(1 - n))","A",4,4,23,0.1739,1,"{129, 151, 12, 131}"
1011,1,77,0,0.1427314,"\int (a+b x) (A+B x) (d+e x)^4 \, dx","Int[(a + b*x)*(A + B*x)*(d + e*x)^4,x]","-\frac{(d+e x)^6 (-a B e-A b e+2 b B d)}{6 e^3}+\frac{(d+e x)^5 (b d-a e) (B d-A e)}{5 e^3}+\frac{b B (d+e x)^7}{7 e^3}","-\frac{(d+e x)^6 (-a B e-A b e+2 b B d)}{6 e^3}+\frac{(d+e x)^5 (b d-a e) (B d-A e)}{5 e^3}+\frac{b B (d+e x)^7}{7 e^3}",1,"((b*d - a*e)*(B*d - A*e)*(d + e*x)^5)/(5*e^3) - ((2*b*B*d - A*b*e - a*B*e)*(d + e*x)^6)/(6*e^3) + (b*B*(d + e*x)^7)/(7*e^3)","A",2,1,18,0.05556,1,"{77}"
1012,1,77,0,0.0947771,"\int (a+b x) (A+B x) (d+e x)^3 \, dx","Int[(a + b*x)*(A + B*x)*(d + e*x)^3,x]","-\frac{(d+e x)^5 (-a B e-A b e+2 b B d)}{5 e^3}+\frac{(d+e x)^4 (b d-a e) (B d-A e)}{4 e^3}+\frac{b B (d+e x)^6}{6 e^3}","-\frac{(d+e x)^5 (-a B e-A b e+2 b B d)}{5 e^3}+\frac{(d+e x)^4 (b d-a e) (B d-A e)}{4 e^3}+\frac{b B (d+e x)^6}{6 e^3}",1,"((b*d - a*e)*(B*d - A*e)*(d + e*x)^4)/(4*e^3) - ((2*b*B*d - A*b*e - a*B*e)*(d + e*x)^5)/(5*e^3) + (b*B*(d + e*x)^6)/(6*e^3)","A",2,1,18,0.05556,1,"{77}"
1013,1,77,0,0.0710015,"\int (a+b x) (A+B x) (d+e x)^2 \, dx","Int[(a + b*x)*(A + B*x)*(d + e*x)^2,x]","-\frac{(d+e x)^4 (-a B e-A b e+2 b B d)}{4 e^3}+\frac{(d+e x)^3 (b d-a e) (B d-A e)}{3 e^3}+\frac{b B (d+e x)^5}{5 e^3}","-\frac{(d+e x)^4 (-a B e-A b e+2 b B d)}{4 e^3}+\frac{(d+e x)^3 (b d-a e) (B d-A e)}{3 e^3}+\frac{b B (d+e x)^5}{5 e^3}",1,"((b*d - a*e)*(B*d - A*e)*(d + e*x)^3)/(3*e^3) - ((2*b*B*d - A*b*e - a*B*e)*(d + e*x)^4)/(4*e^3) + (b*B*(d + e*x)^5)/(5*e^3)","A",2,1,18,0.05556,1,"{77}"
1014,1,56,0,0.0445928,"\int (a+b x) (A+B x) (d+e x) \, dx","Int[(a + b*x)*(A + B*x)*(d + e*x),x]","\frac{1}{3} x^3 (a B e+A b e+b B d)+\frac{1}{2} x^2 (a A e+a B d+A b d)+a A d x+\frac{1}{4} b B e x^4","\frac{1}{3} x^3 (a B e+A b e+b B d)+\frac{1}{2} x^2 (a A e+a B d+A b d)+a A d x+\frac{1}{4} b B e x^4",1,"a*A*d*x + ((A*b*d + a*B*d + a*A*e)*x^2)/2 + ((b*B*d + A*b*e + a*B*e)*x^3)/3 + (b*B*e*x^4)/4","A",2,1,16,0.06250,1,"{77}"
1015,1,28,0,0.0182654,"\int (a+b x) (A+B x) \, dx","Int[(a + b*x)*(A + B*x),x]","\frac{1}{2} x^2 (a B+A b)+a A x+\frac{1}{3} b B x^3","\frac{1}{2} x^2 (a B+A b)+a A x+\frac{1}{3} b B x^3",1,"a*A*x + ((A*b + a*B)*x^2)/2 + (b*B*x^3)/3","A",2,1,11,0.09091,1,"{43}"
1016,1,60,0,0.0422003,"\int \frac{(a+b x) (A+B x)}{d+e x} \, dx","Int[((a + b*x)*(A + B*x))/(d + e*x),x]","\frac{(b d-a e) (B d-A e) \log (d+e x)}{e^3}+\frac{B (a+b x)^2}{2 b e}-\frac{b x (B d-A e)}{e^2}","\frac{(b d-a e) (B d-A e) \log (d+e x)}{e^3}+\frac{B (a+b x)^2}{2 b e}-\frac{b x (B d-A e)}{e^2}",1,"-((b*(B*d - A*e)*x)/e^2) + (B*(a + b*x)^2)/(2*b*e) + ((b*d - a*e)*(B*d - A*e)*Log[d + e*x])/e^3","A",2,1,18,0.05556,1,"{77}"
1017,1,63,0,0.0535963,"\int \frac{(a+b x) (A+B x)}{(d+e x)^2} \, dx","Int[((a + b*x)*(A + B*x))/(d + e*x)^2,x]","-\frac{(b d-a e) (B d-A e)}{e^3 (d+e x)}-\frac{\log (d+e x) (-a B e-A b e+2 b B d)}{e^3}+\frac{b B x}{e^2}","-\frac{(b d-a e) (B d-A e)}{e^3 (d+e x)}-\frac{\log (d+e x) (-a B e-A b e+2 b B d)}{e^3}+\frac{b B x}{e^2}",1,"(b*B*x)/e^2 - ((b*d - a*e)*(B*d - A*e))/(e^3*(d + e*x)) - ((2*b*B*d - A*b*e - a*B*e)*Log[d + e*x])/e^3","A",2,1,18,0.05556,1,"{77}"
1018,1,70,0,0.0499388,"\int \frac{(a+b x) (A+B x)}{(d+e x)^3} \, dx","Int[((a + b*x)*(A + B*x))/(d + e*x)^3,x]","-\frac{(b d-a e) (B d-A e)}{2 e^3 (d+e x)^2}+\frac{-a B e-A b e+2 b B d}{e^3 (d+e x)}+\frac{b B \log (d+e x)}{e^3}","-\frac{(b d-a e) (B d-A e)}{2 e^3 (d+e x)^2}+\frac{-a B e-A b e+2 b B d}{e^3 (d+e x)}+\frac{b B \log (d+e x)}{e^3}",1,"-((b*d - a*e)*(B*d - A*e))/(2*e^3*(d + e*x)^2) + (2*b*B*d - A*b*e - a*B*e)/(e^3*(d + e*x)) + (b*B*Log[d + e*x])/e^3","A",2,1,18,0.05556,1,"{77}"
1019,1,75,0,0.0490479,"\int \frac{(a+b x) (A+B x)}{(d+e x)^4} \, dx","Int[((a + b*x)*(A + B*x))/(d + e*x)^4,x]","\frac{-a B e-A b e+2 b B d}{2 e^3 (d+e x)^2}-\frac{(b d-a e) (B d-A e)}{3 e^3 (d+e x)^3}-\frac{b B}{e^3 (d+e x)}","\frac{-a B e-A b e+2 b B d}{2 e^3 (d+e x)^2}-\frac{(b d-a e) (B d-A e)}{3 e^3 (d+e x)^3}-\frac{b B}{e^3 (d+e x)}",1,"-((b*d - a*e)*(B*d - A*e))/(3*e^3*(d + e*x)^3) + (2*b*B*d - A*b*e - a*B*e)/(2*e^3*(d + e*x)^2) - (b*B)/(e^3*(d + e*x))","A",2,1,18,0.05556,1,"{77}"
1020,1,77,0,0.0494804,"\int \frac{(a+b x) (A+B x)}{(d+e x)^5} \, dx","Int[((a + b*x)*(A + B*x))/(d + e*x)^5,x]","\frac{-a B e-A b e+2 b B d}{3 e^3 (d+e x)^3}-\frac{(b d-a e) (B d-A e)}{4 e^3 (d+e x)^4}-\frac{b B}{2 e^3 (d+e x)^2}","\frac{-a B e-A b e+2 b B d}{3 e^3 (d+e x)^3}-\frac{(b d-a e) (B d-A e)}{4 e^3 (d+e x)^4}-\frac{b B}{2 e^3 (d+e x)^2}",1,"-((b*d - a*e)*(B*d - A*e))/(4*e^3*(d + e*x)^4) + (2*b*B*d - A*b*e - a*B*e)/(3*e^3*(d + e*x)^3) - (b*B)/(2*e^3*(d + e*x)^2)","A",2,1,18,0.05556,1,"{77}"
1021,1,77,0,0.0489671,"\int \frac{(a+b x) (A+B x)}{(d+e x)^6} \, dx","Int[((a + b*x)*(A + B*x))/(d + e*x)^6,x]","\frac{-a B e-A b e+2 b B d}{4 e^3 (d+e x)^4}-\frac{(b d-a e) (B d-A e)}{5 e^3 (d+e x)^5}-\frac{b B}{3 e^3 (d+e x)^3}","\frac{-a B e-A b e+2 b B d}{4 e^3 (d+e x)^4}-\frac{(b d-a e) (B d-A e)}{5 e^3 (d+e x)^5}-\frac{b B}{3 e^3 (d+e x)^3}",1,"-((b*d - a*e)*(B*d - A*e))/(5*e^3*(d + e*x)^5) + (2*b*B*d - A*b*e - a*B*e)/(4*e^3*(d + e*x)^4) - (b*B)/(3*e^3*(d + e*x)^3)","A",2,1,18,0.05556,1,"{77}"
1022,1,120,0,0.2270769,"\int (a+b x)^2 (A+B x) (d+e x)^4 \, dx","Int[(a + b*x)^2*(A + B*x)*(d + e*x)^4,x]","-\frac{b (d+e x)^7 (-2 a B e-A b e+3 b B d)}{7 e^4}+\frac{(d+e x)^6 (b d-a e) (-a B e-2 A b e+3 b B d)}{6 e^4}-\frac{(d+e x)^5 (b d-a e)^2 (B d-A e)}{5 e^4}+\frac{b^2 B (d+e x)^8}{8 e^4}","-\frac{b (d+e x)^7 (-2 a B e-A b e+3 b B d)}{7 e^4}+\frac{(d+e x)^6 (b d-a e) (-a B e-2 A b e+3 b B d)}{6 e^4}-\frac{(d+e x)^5 (b d-a e)^2 (B d-A e)}{5 e^4}+\frac{b^2 B (d+e x)^8}{8 e^4}",1,"-((b*d - a*e)^2*(B*d - A*e)*(d + e*x)^5)/(5*e^4) + ((b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e)*(d + e*x)^6)/(6*e^4) - (b*(3*b*B*d - A*b*e - 2*a*B*e)*(d + e*x)^7)/(7*e^4) + (b^2*B*(d + e*x)^8)/(8*e^4)","A",2,1,20,0.05000,1,"{77}"
1023,1,120,0,0.153629,"\int (a+b x)^2 (A+B x) (d+e x)^3 \, dx","Int[(a + b*x)^2*(A + B*x)*(d + e*x)^3,x]","-\frac{b (d+e x)^6 (-2 a B e-A b e+3 b B d)}{6 e^4}+\frac{(d+e x)^5 (b d-a e) (-a B e-2 A b e+3 b B d)}{5 e^4}-\frac{(d+e x)^4 (b d-a e)^2 (B d-A e)}{4 e^4}+\frac{b^2 B (d+e x)^7}{7 e^4}","-\frac{b (d+e x)^6 (-2 a B e-A b e+3 b B d)}{6 e^4}+\frac{(d+e x)^5 (b d-a e) (-a B e-2 A b e+3 b B d)}{5 e^4}-\frac{(d+e x)^4 (b d-a e)^2 (B d-A e)}{4 e^4}+\frac{b^2 B (d+e x)^7}{7 e^4}",1,"-((b*d - a*e)^2*(B*d - A*e)*(d + e*x)^4)/(4*e^4) + ((b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e)*(d + e*x)^5)/(5*e^4) - (b*(3*b*B*d - A*b*e - 2*a*B*e)*(d + e*x)^6)/(6*e^4) + (b^2*B*(d + e*x)^7)/(7*e^4)","A",2,1,20,0.05000,1,"{77}"
1024,1,118,0,0.1280509,"\int (a+b x)^2 (A+B x) (d+e x)^2 \, dx","Int[(a + b*x)^2*(A + B*x)*(d + e*x)^2,x]","\frac{e (a+b x)^5 (-3 a B e+A b e+2 b B d)}{5 b^4}+\frac{(a+b x)^4 (b d-a e) (-3 a B e+2 A b e+b B d)}{4 b^4}+\frac{(a+b x)^3 (A b-a B) (b d-a e)^2}{3 b^4}+\frac{B e^2 (a+b x)^6}{6 b^4}","\frac{e (a+b x)^5 (-3 a B e+A b e+2 b B d)}{5 b^4}+\frac{(a+b x)^4 (b d-a e) (-3 a B e+2 A b e+b B d)}{4 b^4}+\frac{(a+b x)^3 (A b-a B) (b d-a e)^2}{3 b^4}+\frac{B e^2 (a+b x)^6}{6 b^4}",1,"((A*b - a*B)*(b*d - a*e)^2*(a + b*x)^3)/(3*b^4) + ((b*d - a*e)*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^4)/(4*b^4) + (e*(2*b*B*d + A*b*e - 3*a*B*e)*(a + b*x)^5)/(5*b^4) + (B*e^2*(a + b*x)^6)/(6*b^4)","A",2,1,20,0.05000,1,"{77}"
1025,1,75,0,0.0710218,"\int (a+b x)^2 (A+B x) (d+e x) \, dx","Int[(a + b*x)^2*(A + B*x)*(d + e*x),x]","\frac{(a+b x)^4 (-2 a B e+A b e+b B d)}{4 b^3}+\frac{(a+b x)^3 (A b-a B) (b d-a e)}{3 b^3}+\frac{B e (a+b x)^5}{5 b^3}","\frac{(a+b x)^4 (-2 a B e+A b e+b B d)}{4 b^3}+\frac{(a+b x)^3 (A b-a B) (b d-a e)}{3 b^3}+\frac{B e (a+b x)^5}{5 b^3}",1,"((A*b - a*B)*(b*d - a*e)*(a + b*x)^3)/(3*b^3) + ((b*B*d + A*b*e - 2*a*B*e)*(a + b*x)^4)/(4*b^3) + (B*e*(a + b*x)^5)/(5*b^3)","A",2,1,18,0.05556,1,"{77}"
1026,1,38,0,0.0279523,"\int (a+b x)^2 (A+B x) \, dx","Int[(a + b*x)^2*(A + B*x),x]","\frac{(a+b x)^3 (A b-a B)}{3 b^2}+\frac{B (a+b x)^4}{4 b^2}","\frac{(a+b x)^3 (A b-a B)}{3 b^2}+\frac{B (a+b x)^4}{4 b^2}",1,"((A*b - a*B)*(a + b*x)^3)/(3*b^2) + (B*(a + b*x)^4)/(4*b^2)","A",2,1,13,0.07692,1,"{43}"
1027,1,92,0,0.0580132,"\int \frac{(a+b x)^2 (A+B x)}{d+e x} \, dx","Int[((a + b*x)^2*(A + B*x))/(d + e*x),x]","-\frac{(a+b x)^2 (B d-A e)}{2 e^2}+\frac{b x (b d-a e) (B d-A e)}{e^3}-\frac{(b d-a e)^2 (B d-A e) \log (d+e x)}{e^4}+\frac{B (a+b x)^3}{3 b e}","-\frac{(a+b x)^2 (B d-A e)}{2 e^2}+\frac{b x (b d-a e) (B d-A e)}{e^3}-\frac{(b d-a e)^2 (B d-A e) \log (d+e x)}{e^4}+\frac{B (a+b x)^3}{3 b e}",1,"(b*(b*d - a*e)*(B*d - A*e)*x)/e^3 - ((B*d - A*e)*(a + b*x)^2)/(2*e^2) + (B*(a + b*x)^3)/(3*b*e) - ((b*d - a*e)^2*(B*d - A*e)*Log[d + e*x])/e^4","A",2,1,20,0.05000,1,"{77}"
1028,1,101,0,0.0983639,"\int \frac{(a+b x)^2 (A+B x)}{(d+e x)^2} \, dx","Int[((a + b*x)^2*(A + B*x))/(d + e*x)^2,x]","\frac{(b d-a e)^2 (B d-A e)}{e^4 (d+e x)}-\frac{b x (-2 a B e-A b e+2 b B d)}{e^3}+\frac{(b d-a e) \log (d+e x) (-a B e-2 A b e+3 b B d)}{e^4}+\frac{b^2 B x^2}{2 e^2}","\frac{(b d-a e)^2 (B d-A e)}{e^4 (d+e x)}-\frac{b x (-2 a B e-A b e+2 b B d)}{e^3}+\frac{(b d-a e) \log (d+e x) (-a B e-2 A b e+3 b B d)}{e^4}+\frac{b^2 B x^2}{2 e^2}",1,"-((b*(2*b*B*d - A*b*e - 2*a*B*e)*x)/e^3) + (b^2*B*x^2)/(2*e^2) + ((b*d - a*e)^2*(B*d - A*e))/(e^4*(d + e*x)) + ((b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e)*Log[d + e*x])/e^4","A",2,1,20,0.05000,1,"{77}"
1029,1,106,0,0.092839,"\int \frac{(a+b x)^2 (A+B x)}{(d+e x)^3} \, dx","Int[((a + b*x)^2*(A + B*x))/(d + e*x)^3,x]","-\frac{(b d-a e) (-a B e-2 A b e+3 b B d)}{e^4 (d+e x)}+\frac{(b d-a e)^2 (B d-A e)}{2 e^4 (d+e x)^2}-\frac{b \log (d+e x) (-2 a B e-A b e+3 b B d)}{e^4}+\frac{b^2 B x}{e^3}","-\frac{(b d-a e) (-a B e-2 A b e+3 b B d)}{e^4 (d+e x)}+\frac{(b d-a e)^2 (B d-A e)}{2 e^4 (d+e x)^2}-\frac{b \log (d+e x) (-2 a B e-A b e+3 b B d)}{e^4}+\frac{b^2 B x}{e^3}",1,"(b^2*B*x)/e^3 + ((b*d - a*e)^2*(B*d - A*e))/(2*e^4*(d + e*x)^2) - ((b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e))/(e^4*(d + e*x)) - (b*(3*b*B*d - A*b*e - 2*a*B*e)*Log[d + e*x])/e^4","A",2,1,20,0.05000,1,"{77}"
1030,1,101,0,0.0809283,"\int \frac{(a+b x)^2 (A+B x)}{(d+e x)^4} \, dx","Int[((a + b*x)^2*(A + B*x))/(d + e*x)^4,x]","-\frac{(a+b x)^3 (B d-A e)}{3 e (d+e x)^3 (b d-a e)}+\frac{2 b B (b d-a e)}{e^4 (d+e x)}-\frac{B (b d-a e)^2}{2 e^4 (d+e x)^2}+\frac{b^2 B \log (d+e x)}{e^4}","-\frac{(a+b x)^3 (B d-A e)}{3 e (d+e x)^3 (b d-a e)}+\frac{2 b B (b d-a e)}{e^4 (d+e x)}-\frac{B (b d-a e)^2}{2 e^4 (d+e x)^2}+\frac{b^2 B \log (d+e x)}{e^4}",1,"-((B*d - A*e)*(a + b*x)^3)/(3*e*(b*d - a*e)*(d + e*x)^3) - (B*(b*d - a*e)^2)/(2*e^4*(d + e*x)^2) + (2*b*B*(b*d - a*e))/(e^4*(d + e*x)) + (b^2*B*Log[d + e*x])/e^4","A",3,2,20,0.1000,1,"{78, 43}"
1031,1,86,0,0.0331264,"\int \frac{(a+b x)^2 (A+B x)}{(d+e x)^5} \, dx","Int[((a + b*x)^2*(A + B*x))/(d + e*x)^5,x]","\frac{(a+b x)^3 (-4 a B e+A b e+3 b B d)}{12 e (d+e x)^3 (b d-a e)^2}-\frac{(a+b x)^3 (B d-A e)}{4 e (d+e x)^4 (b d-a e)}","\frac{(a+b x)^3 (-4 a B e+A b e+3 b B d)}{12 e (d+e x)^3 (b d-a e)^2}-\frac{(a+b x)^3 (B d-A e)}{4 e (d+e x)^4 (b d-a e)}",1,"-((B*d - A*e)*(a + b*x)^3)/(4*e*(b*d - a*e)*(d + e*x)^4) + ((3*b*B*d + A*b*e - 4*a*B*e)*(a + b*x)^3)/(12*e*(b*d - a*e)^2*(d + e*x)^3)","A",2,2,20,0.1000,1,"{78, 37}"
1032,1,120,0,0.0935494,"\int \frac{(a+b x)^2 (A+B x)}{(d+e x)^6} \, dx","Int[((a + b*x)^2*(A + B*x))/(d + e*x)^6,x]","\frac{b (-2 a B e-A b e+3 b B d)}{3 e^4 (d+e x)^3}-\frac{(b d-a e) (-a B e-2 A b e+3 b B d)}{4 e^4 (d+e x)^4}+\frac{(b d-a e)^2 (B d-A e)}{5 e^4 (d+e x)^5}-\frac{b^2 B}{2 e^4 (d+e x)^2}","\frac{b (-2 a B e-A b e+3 b B d)}{3 e^4 (d+e x)^3}-\frac{(b d-a e) (-a B e-2 A b e+3 b B d)}{4 e^4 (d+e x)^4}+\frac{(b d-a e)^2 (B d-A e)}{5 e^4 (d+e x)^5}-\frac{b^2 B}{2 e^4 (d+e x)^2}",1,"((b*d - a*e)^2*(B*d - A*e))/(5*e^4*(d + e*x)^5) - ((b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e))/(4*e^4*(d + e*x)^4) + (b*(3*b*B*d - A*b*e - 2*a*B*e))/(3*e^4*(d + e*x)^3) - (b^2*B)/(2*e^4*(d + e*x)^2)","A",2,1,20,0.05000,1,"{77}"
1033,1,120,0,0.0761238,"\int \frac{(a+b x)^2 (A+B x)}{(d+e x)^7} \, dx","Int[((a + b*x)^2*(A + B*x))/(d + e*x)^7,x]","\frac{b (-2 a B e-A b e+3 b B d)}{4 e^4 (d+e x)^4}-\frac{(b d-a e) (-a B e-2 A b e+3 b B d)}{5 e^4 (d+e x)^5}+\frac{(b d-a e)^2 (B d-A e)}{6 e^4 (d+e x)^6}-\frac{b^2 B}{3 e^4 (d+e x)^3}","\frac{b (-2 a B e-A b e+3 b B d)}{4 e^4 (d+e x)^4}-\frac{(b d-a e) (-a B e-2 A b e+3 b B d)}{5 e^4 (d+e x)^5}+\frac{(b d-a e)^2 (B d-A e)}{6 e^4 (d+e x)^6}-\frac{b^2 B}{3 e^4 (d+e x)^3}",1,"((b*d - a*e)^2*(B*d - A*e))/(6*e^4*(d + e*x)^6) - ((b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e))/(5*e^4*(d + e*x)^5) + (b*(3*b*B*d - A*b*e - 2*a*B*e))/(4*e^4*(d + e*x)^4) - (b^2*B)/(3*e^4*(d + e*x)^3)","A",2,1,20,0.05000,1,"{77}"
1034,1,120,0,0.0779358,"\int \frac{(a+b x)^2 (A+B x)}{(d+e x)^8} \, dx","Int[((a + b*x)^2*(A + B*x))/(d + e*x)^8,x]","\frac{b (-2 a B e-A b e+3 b B d)}{5 e^4 (d+e x)^5}-\frac{(b d-a e) (-a B e-2 A b e+3 b B d)}{6 e^4 (d+e x)^6}+\frac{(b d-a e)^2 (B d-A e)}{7 e^4 (d+e x)^7}-\frac{b^2 B}{4 e^4 (d+e x)^4}","\frac{b (-2 a B e-A b e+3 b B d)}{5 e^4 (d+e x)^5}-\frac{(b d-a e) (-a B e-2 A b e+3 b B d)}{6 e^4 (d+e x)^6}+\frac{(b d-a e)^2 (B d-A e)}{7 e^4 (d+e x)^7}-\frac{b^2 B}{4 e^4 (d+e x)^4}",1,"((b*d - a*e)^2*(B*d - A*e))/(7*e^4*(d + e*x)^7) - ((b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e))/(6*e^4*(d + e*x)^6) + (b*(3*b*B*d - A*b*e - 2*a*B*e))/(5*e^4*(d + e*x)^5) - (b^2*B)/(4*e^4*(d + e*x)^4)","A",2,1,20,0.05000,1,"{77}"
1035,1,163,0,0.4092127,"\int (a+b x)^3 (A+B x) (d+e x)^5 \, dx","Int[(a + b*x)^3*(A + B*x)*(d + e*x)^5,x]","-\frac{b^2 (d+e x)^9 (-3 a B e-A b e+4 b B d)}{9 e^5}+\frac{3 b (d+e x)^8 (b d-a e) (-a B e-A b e+2 b B d)}{8 e^5}-\frac{(d+e x)^7 (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{7 e^5}+\frac{(d+e x)^6 (b d-a e)^3 (B d-A e)}{6 e^5}+\frac{b^3 B (d+e x)^{10}}{10 e^5}","-\frac{b^2 (d+e x)^9 (-3 a B e-A b e+4 b B d)}{9 e^5}+\frac{3 b (d+e x)^8 (b d-a e) (-a B e-A b e+2 b B d)}{8 e^5}-\frac{(d+e x)^7 (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{7 e^5}+\frac{(d+e x)^6 (b d-a e)^3 (B d-A e)}{6 e^5}+\frac{b^3 B (d+e x)^{10}}{10 e^5}",1,"((b*d - a*e)^3*(B*d - A*e)*(d + e*x)^6)/(6*e^5) - ((b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e)*(d + e*x)^7)/(7*e^5) + (3*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e)*(d + e*x)^8)/(8*e^5) - (b^2*(4*b*B*d - A*b*e - 3*a*B*e)*(d + e*x)^9)/(9*e^5) + (b^3*B*(d + e*x)^10)/(10*e^5)","A",2,1,20,0.05000,1,"{77}"
1036,1,163,0,0.2910436,"\int (a+b x)^3 (A+B x) (d+e x)^4 \, dx","Int[(a + b*x)^3*(A + B*x)*(d + e*x)^4,x]","-\frac{b^2 (d+e x)^8 (-3 a B e-A b e+4 b B d)}{8 e^5}+\frac{3 b (d+e x)^7 (b d-a e) (-a B e-A b e+2 b B d)}{7 e^5}-\frac{(d+e x)^6 (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{6 e^5}+\frac{(d+e x)^5 (b d-a e)^3 (B d-A e)}{5 e^5}+\frac{b^3 B (d+e x)^9}{9 e^5}","-\frac{b^2 (d+e x)^8 (-3 a B e-A b e+4 b B d)}{8 e^5}+\frac{3 b (d+e x)^7 (b d-a e) (-a B e-A b e+2 b B d)}{7 e^5}-\frac{(d+e x)^6 (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{6 e^5}+\frac{(d+e x)^5 (b d-a e)^3 (B d-A e)}{5 e^5}+\frac{b^3 B (d+e x)^9}{9 e^5}",1,"((b*d - a*e)^3*(B*d - A*e)*(d + e*x)^5)/(5*e^5) - ((b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e)*(d + e*x)^6)/(6*e^5) + (3*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e)*(d + e*x)^7)/(7*e^5) - (b^2*(4*b*B*d - A*b*e - 3*a*B*e)*(d + e*x)^8)/(8*e^5) + (b^3*B*(d + e*x)^9)/(9*e^5)","A",2,1,20,0.05000,1,"{77}"
1037,1,159,0,0.2484928,"\int (a+b x)^3 (A+B x) (d+e x)^3 \, dx","Int[(a + b*x)^3*(A + B*x)*(d + e*x)^3,x]","\frac{e^2 (a+b x)^7 (-4 a B e+A b e+3 b B d)}{7 b^5}+\frac{e (a+b x)^6 (b d-a e) (-2 a B e+A b e+b B d)}{2 b^5}+\frac{(a+b x)^5 (b d-a e)^2 (-4 a B e+3 A b e+b B d)}{5 b^5}+\frac{(a+b x)^4 (A b-a B) (b d-a e)^3}{4 b^5}+\frac{B e^3 (a+b x)^8}{8 b^5}","\frac{e^2 (a+b x)^7 (-4 a B e+A b e+3 b B d)}{7 b^5}+\frac{e (a+b x)^6 (b d-a e) (-2 a B e+A b e+b B d)}{2 b^5}+\frac{(a+b x)^5 (b d-a e)^2 (-4 a B e+3 A b e+b B d)}{5 b^5}+\frac{(a+b x)^4 (A b-a B) (b d-a e)^3}{4 b^5}+\frac{B e^3 (a+b x)^8}{8 b^5}",1,"((A*b - a*B)*(b*d - a*e)^3*(a + b*x)^4)/(4*b^5) + ((b*d - a*e)^2*(b*B*d + 3*A*b*e - 4*a*B*e)*(a + b*x)^5)/(5*b^5) + (e*(b*d - a*e)*(b*B*d + A*b*e - 2*a*B*e)*(a + b*x)^6)/(2*b^5) + (e^2*(3*b*B*d + A*b*e - 4*a*B*e)*(a + b*x)^7)/(7*b^5) + (B*e^3*(a + b*x)^8)/(8*b^5)","A",2,1,20,0.05000,1,"{77}"
1038,1,118,0,0.1572443,"\int (a+b x)^3 (A+B x) (d+e x)^2 \, dx","Int[(a + b*x)^3*(A + B*x)*(d + e*x)^2,x]","\frac{e (a+b x)^6 (-3 a B e+A b e+2 b B d)}{6 b^4}+\frac{(a+b x)^5 (b d-a e) (-3 a B e+2 A b e+b B d)}{5 b^4}+\frac{(a+b x)^4 (A b-a B) (b d-a e)^2}{4 b^4}+\frac{B e^2 (a+b x)^7}{7 b^4}","\frac{e (a+b x)^6 (-3 a B e+A b e+2 b B d)}{6 b^4}+\frac{(a+b x)^5 (b d-a e) (-3 a B e+2 A b e+b B d)}{5 b^4}+\frac{(a+b x)^4 (A b-a B) (b d-a e)^2}{4 b^4}+\frac{B e^2 (a+b x)^7}{7 b^4}",1,"((A*b - a*B)*(b*d - a*e)^2*(a + b*x)^4)/(4*b^4) + ((b*d - a*e)*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^5)/(5*b^4) + (e*(2*b*B*d + A*b*e - 3*a*B*e)*(a + b*x)^6)/(6*b^4) + (B*e^2*(a + b*x)^7)/(7*b^4)","A",2,1,20,0.05000,1,"{77}"
1039,1,75,0,0.0968763,"\int (a+b x)^3 (A+B x) (d+e x) \, dx","Int[(a + b*x)^3*(A + B*x)*(d + e*x),x]","\frac{(a+b x)^5 (-2 a B e+A b e+b B d)}{5 b^3}+\frac{(a+b x)^4 (A b-a B) (b d-a e)}{4 b^3}+\frac{B e (a+b x)^6}{6 b^3}","\frac{(a+b x)^5 (-2 a B e+A b e+b B d)}{5 b^3}+\frac{(a+b x)^4 (A b-a B) (b d-a e)}{4 b^3}+\frac{B e (a+b x)^6}{6 b^3}",1,"((A*b - a*B)*(b*d - a*e)*(a + b*x)^4)/(4*b^3) + ((b*B*d + A*b*e - 2*a*B*e)*(a + b*x)^5)/(5*b^3) + (B*e*(a + b*x)^6)/(6*b^3)","A",2,1,18,0.05556,1,"{77}"
1040,1,38,0,0.0152595,"\int (a+b x)^3 (A+B x) \, dx","Int[(a + b*x)^3*(A + B*x),x]","\frac{(a+b x)^4 (A b-a B)}{4 b^2}+\frac{B (a+b x)^5}{5 b^2}","\frac{(a+b x)^4 (A b-a B)}{4 b^2}+\frac{B (a+b x)^5}{5 b^2}",1,"((A*b - a*B)*(a + b*x)^4)/(4*b^2) + (B*(a + b*x)^5)/(5*b^2)","A",2,1,13,0.07692,1,"{43}"
1041,1,124,0,0.0863908,"\int \frac{(a+b x)^3 (A+B x)}{d+e x} \, dx","Int[((a + b*x)^3*(A + B*x))/(d + e*x),x]","-\frac{(a+b x)^3 (B d-A e)}{3 e^2}+\frac{(a+b x)^2 (b d-a e) (B d-A e)}{2 e^3}-\frac{b x (b d-a e)^2 (B d-A e)}{e^4}+\frac{(b d-a e)^3 (B d-A e) \log (d+e x)}{e^5}+\frac{B (a+b x)^4}{4 b e}","-\frac{(a+b x)^3 (B d-A e)}{3 e^2}+\frac{(a+b x)^2 (b d-a e) (B d-A e)}{2 e^3}-\frac{b x (b d-a e)^2 (B d-A e)}{e^4}+\frac{(b d-a e)^3 (B d-A e) \log (d+e x)}{e^5}+\frac{B (a+b x)^4}{4 b e}",1,"-((b*(b*d - a*e)^2*(B*d - A*e)*x)/e^4) + ((b*d - a*e)*(B*d - A*e)*(a + b*x)^2)/(2*e^3) - ((B*d - A*e)*(a + b*x)^3)/(3*e^2) + (B*(a + b*x)^4)/(4*b*e) + ((b*d - a*e)^3*(B*d - A*e)*Log[d + e*x])/e^5","A",2,1,20,0.05000,1,"{77}"
1042,1,150,0,0.1780012,"\int \frac{(a+b x)^3 (A+B x)}{(d+e x)^2} \, dx","Int[((a + b*x)^3*(A + B*x))/(d + e*x)^2,x]","-\frac{b^2 (d+e x)^2 (-3 a B e-A b e+4 b B d)}{2 e^5}-\frac{(b d-a e)^3 (B d-A e)}{e^5 (d+e x)}+\frac{3 b x (b d-a e) (-a B e-A b e+2 b B d)}{e^4}-\frac{(b d-a e)^2 \log (d+e x) (-a B e-3 A b e+4 b B d)}{e^5}+\frac{b^3 B (d+e x)^3}{3 e^5}","-\frac{b^2 (d+e x)^2 (-3 a B e-A b e+4 b B d)}{2 e^5}-\frac{(b d-a e)^3 (B d-A e)}{e^5 (d+e x)}+\frac{3 b x (b d-a e) (-a B e-A b e+2 b B d)}{e^4}-\frac{(b d-a e)^2 \log (d+e x) (-a B e-3 A b e+4 b B d)}{e^5}+\frac{b^3 B (d+e x)^3}{3 e^5}",1,"(3*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e)*x)/e^4 - ((b*d - a*e)^3*(B*d - A*e))/(e^5*(d + e*x)) - (b^2*(4*b*B*d - A*b*e - 3*a*B*e)*(d + e*x)^2)/(2*e^5) + (b^3*B*(d + e*x)^3)/(3*e^5) - ((b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e)*Log[d + e*x])/e^5","A",2,1,20,0.05000,1,"{77}"
1043,1,145,0,0.1529989,"\int \frac{(a+b x)^3 (A+B x)}{(d+e x)^3} \, dx","Int[((a + b*x)^3*(A + B*x))/(d + e*x)^3,x]","-\frac{b^2 x (-3 a B e-A b e+3 b B d)}{e^4}+\frac{(b d-a e)^2 (-a B e-3 A b e+4 b B d)}{e^5 (d+e x)}-\frac{(b d-a e)^3 (B d-A e)}{2 e^5 (d+e x)^2}+\frac{3 b (b d-a e) \log (d+e x) (-a B e-A b e+2 b B d)}{e^5}+\frac{b^3 B x^2}{2 e^3}","-\frac{b^2 x (-3 a B e-A b e+3 b B d)}{e^4}+\frac{(b d-a e)^2 (-a B e-3 A b e+4 b B d)}{e^5 (d+e x)}-\frac{(b d-a e)^3 (B d-A e)}{2 e^5 (d+e x)^2}+\frac{3 b (b d-a e) \log (d+e x) (-a B e-A b e+2 b B d)}{e^5}+\frac{b^3 B x^2}{2 e^3}",1,"-((b^2*(3*b*B*d - A*b*e - 3*a*B*e)*x)/e^4) + (b^3*B*x^2)/(2*e^3) - ((b*d - a*e)^3*(B*d - A*e))/(2*e^5*(d + e*x)^2) + ((b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e))/(e^5*(d + e*x)) + (3*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e)*Log[d + e*x])/e^5","A",2,1,20,0.05000,1,"{77}"
1044,1,149,0,0.1385661,"\int \frac{(a+b x)^3 (A+B x)}{(d+e x)^4} \, dx","Int[((a + b*x)^3*(A + B*x))/(d + e*x)^4,x]","-\frac{b^2 \log (d+e x) (-3 a B e-A b e+4 b B d)}{e^5}-\frac{3 b (b d-a e) (-a B e-A b e+2 b B d)}{e^5 (d+e x)}+\frac{(b d-a e)^2 (-a B e-3 A b e+4 b B d)}{2 e^5 (d+e x)^2}-\frac{(b d-a e)^3 (B d-A e)}{3 e^5 (d+e x)^3}+\frac{b^3 B x}{e^4}","-\frac{b^2 \log (d+e x) (-3 a B e-A b e+4 b B d)}{e^5}-\frac{3 b (b d-a e) (-a B e-A b e+2 b B d)}{e^5 (d+e x)}+\frac{(b d-a e)^2 (-a B e-3 A b e+4 b B d)}{2 e^5 (d+e x)^2}-\frac{(b d-a e)^3 (B d-A e)}{3 e^5 (d+e x)^3}+\frac{b^3 B x}{e^4}",1,"(b^3*B*x)/e^4 - ((b*d - a*e)^3*(B*d - A*e))/(3*e^5*(d + e*x)^3) + ((b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e))/(2*e^5*(d + e*x)^2) - (3*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e))/(e^5*(d + e*x)) - (b^2*(4*b*B*d - A*b*e - 3*a*B*e)*Log[d + e*x])/e^5","A",2,1,20,0.05000,1,"{77}"
1045,1,129,0,0.1102902,"\int \frac{(a+b x)^3 (A+B x)}{(d+e x)^5} \, dx","Int[((a + b*x)^3*(A + B*x))/(d + e*x)^5,x]","-\frac{(a+b x)^4 (B d-A e)}{4 e (d+e x)^4 (b d-a e)}+\frac{3 b^2 B (b d-a e)}{e^5 (d+e x)}-\frac{3 b B (b d-a e)^2}{2 e^5 (d+e x)^2}+\frac{B (b d-a e)^3}{3 e^5 (d+e x)^3}+\frac{b^3 B \log (d+e x)}{e^5}","-\frac{(a+b x)^4 (B d-A e)}{4 e (d+e x)^4 (b d-a e)}+\frac{3 b^2 B (b d-a e)}{e^5 (d+e x)}-\frac{3 b B (b d-a e)^2}{2 e^5 (d+e x)^2}+\frac{B (b d-a e)^3}{3 e^5 (d+e x)^3}+\frac{b^3 B \log (d+e x)}{e^5}",1,"-((B*d - A*e)*(a + b*x)^4)/(4*e*(b*d - a*e)*(d + e*x)^4) + (B*(b*d - a*e)^3)/(3*e^5*(d + e*x)^3) - (3*b*B*(b*d - a*e)^2)/(2*e^5*(d + e*x)^2) + (3*b^2*B*(b*d - a*e))/(e^5*(d + e*x)) + (b^3*B*Log[d + e*x])/e^5","A",3,2,20,0.1000,1,"{78, 43}"
1046,1,86,0,0.0312964,"\int \frac{(a+b x)^3 (A+B x)}{(d+e x)^6} \, dx","Int[((a + b*x)^3*(A + B*x))/(d + e*x)^6,x]","\frac{(a+b x)^4 (-5 a B e+A b e+4 b B d)}{20 e (d+e x)^4 (b d-a e)^2}-\frac{(a+b x)^4 (B d-A e)}{5 e (d+e x)^5 (b d-a e)}","\frac{(a+b x)^4 (-5 a B e+A b e+4 b B d)}{20 e (d+e x)^4 (b d-a e)^2}-\frac{(a+b x)^4 (B d-A e)}{5 e (d+e x)^5 (b d-a e)}",1,"-((B*d - A*e)*(a + b*x)^4)/(5*e*(b*d - a*e)*(d + e*x)^5) + ((4*b*B*d + A*b*e - 5*a*B*e)*(a + b*x)^4)/(20*e*(b*d - a*e)^2*(d + e*x)^4)","A",2,2,20,0.1000,1,"{78, 37}"
1047,1,133,0,0.0802214,"\int \frac{(a+b x)^3 (A+B x)}{(d+e x)^7} \, dx","Int[((a + b*x)^3*(A + B*x))/(d + e*x)^7,x]","\frac{b (a+b x)^4 (-3 a B e+A b e+2 b B d)}{60 e (d+e x)^4 (b d-a e)^3}+\frac{(a+b x)^4 (-3 a B e+A b e+2 b B d)}{15 e (d+e x)^5 (b d-a e)^2}-\frac{(a+b x)^4 (B d-A e)}{6 e (d+e x)^6 (b d-a e)}","\frac{b (a+b x)^4 (-3 a B e+A b e+2 b B d)}{60 e (d+e x)^4 (b d-a e)^3}+\frac{(a+b x)^4 (-3 a B e+A b e+2 b B d)}{15 e (d+e x)^5 (b d-a e)^2}-\frac{(a+b x)^4 (B d-A e)}{6 e (d+e x)^6 (b d-a e)}",1,"-((B*d - A*e)*(a + b*x)^4)/(6*e*(b*d - a*e)*(d + e*x)^6) + ((2*b*B*d + A*b*e - 3*a*B*e)*(a + b*x)^4)/(15*e*(b*d - a*e)^2*(d + e*x)^5) + (b*(2*b*B*d + A*b*e - 3*a*B*e)*(a + b*x)^4)/(60*e*(b*d - a*e)^3*(d + e*x)^4)","A",3,3,20,0.1500,1,"{78, 45, 37}"
1048,1,163,0,0.1311426,"\int \frac{(a+b x)^3 (A+B x)}{(d+e x)^8} \, dx","Int[((a + b*x)^3*(A + B*x))/(d + e*x)^8,x]","\frac{b^2 (-3 a B e-A b e+4 b B d)}{4 e^5 (d+e x)^4}-\frac{3 b (b d-a e) (-a B e-A b e+2 b B d)}{5 e^5 (d+e x)^5}+\frac{(b d-a e)^2 (-a B e-3 A b e+4 b B d)}{6 e^5 (d+e x)^6}-\frac{(b d-a e)^3 (B d-A e)}{7 e^5 (d+e x)^7}-\frac{b^3 B}{3 e^5 (d+e x)^3}","\frac{b^2 (-3 a B e-A b e+4 b B d)}{4 e^5 (d+e x)^4}-\frac{3 b (b d-a e) (-a B e-A b e+2 b B d)}{5 e^5 (d+e x)^5}+\frac{(b d-a e)^2 (-a B e-3 A b e+4 b B d)}{6 e^5 (d+e x)^6}-\frac{(b d-a e)^3 (B d-A e)}{7 e^5 (d+e x)^7}-\frac{b^3 B}{3 e^5 (d+e x)^3}",1,"-((b*d - a*e)^3*(B*d - A*e))/(7*e^5*(d + e*x)^7) + ((b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e))/(6*e^5*(d + e*x)^6) - (3*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e))/(5*e^5*(d + e*x)^5) + (b^2*(4*b*B*d - A*b*e - 3*a*B*e))/(4*e^5*(d + e*x)^4) - (b^3*B)/(3*e^5*(d + e*x)^3)","A",2,1,20,0.05000,1,"{77}"
1049,1,163,0,0.1087558,"\int \frac{(a+b x)^3 (A+B x)}{(d+e x)^9} \, dx","Int[((a + b*x)^3*(A + B*x))/(d + e*x)^9,x]","\frac{b^2 (-3 a B e-A b e+4 b B d)}{5 e^5 (d+e x)^5}-\frac{b (b d-a e) (-a B e-A b e+2 b B d)}{2 e^5 (d+e x)^6}+\frac{(b d-a e)^2 (-a B e-3 A b e+4 b B d)}{7 e^5 (d+e x)^7}-\frac{(b d-a e)^3 (B d-A e)}{8 e^5 (d+e x)^8}-\frac{b^3 B}{4 e^5 (d+e x)^4}","\frac{b^2 (-3 a B e-A b e+4 b B d)}{5 e^5 (d+e x)^5}-\frac{b (b d-a e) (-a B e-A b e+2 b B d)}{2 e^5 (d+e x)^6}+\frac{(b d-a e)^2 (-a B e-3 A b e+4 b B d)}{7 e^5 (d+e x)^7}-\frac{(b d-a e)^3 (B d-A e)}{8 e^5 (d+e x)^8}-\frac{b^3 B}{4 e^5 (d+e x)^4}",1,"-((b*d - a*e)^3*(B*d - A*e))/(8*e^5*(d + e*x)^8) + ((b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e))/(7*e^5*(d + e*x)^7) - (b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e))/(2*e^5*(d + e*x)^6) + (b^2*(4*b*B*d - A*b*e - 3*a*B*e))/(5*e^5*(d + e*x)^5) - (b^3*B)/(4*e^5*(d + e*x)^4)","A",2,1,20,0.05000,1,"{77}"
1050,1,163,0,0.1079644,"\int \frac{(a+b x)^3 (A+B x)}{(d+e x)^{10}} \, dx","Int[((a + b*x)^3*(A + B*x))/(d + e*x)^10,x]","\frac{b^2 (-3 a B e-A b e+4 b B d)}{6 e^5 (d+e x)^6}-\frac{3 b (b d-a e) (-a B e-A b e+2 b B d)}{7 e^5 (d+e x)^7}+\frac{(b d-a e)^2 (-a B e-3 A b e+4 b B d)}{8 e^5 (d+e x)^8}-\frac{(b d-a e)^3 (B d-A e)}{9 e^5 (d+e x)^9}-\frac{b^3 B}{5 e^5 (d+e x)^5}","\frac{b^2 (-3 a B e-A b e+4 b B d)}{6 e^5 (d+e x)^6}-\frac{3 b (b d-a e) (-a B e-A b e+2 b B d)}{7 e^5 (d+e x)^7}+\frac{(b d-a e)^2 (-a B e-3 A b e+4 b B d)}{8 e^5 (d+e x)^8}-\frac{(b d-a e)^3 (B d-A e)}{9 e^5 (d+e x)^9}-\frac{b^3 B}{5 e^5 (d+e x)^5}",1,"-((b*d - a*e)^3*(B*d - A*e))/(9*e^5*(d + e*x)^9) + ((b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e))/(8*e^5*(d + e*x)^8) - (3*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e))/(7*e^5*(d + e*x)^7) + (b^2*(4*b*B*d - A*b*e - 3*a*B*e))/(6*e^5*(d + e*x)^6) - (b^3*B)/(5*e^5*(d + e*x)^5)","A",2,1,20,0.05000,1,"{77}"
1051,1,292,0,1.3816822,"\int (a+b x)^6 (A+B x) (d+e x)^8 \, dx","Int[(a + b*x)^6*(A + B*x)*(d + e*x)^8,x]","-\frac{b^5 (d+e x)^{15} (-6 a B e-A b e+7 b B d)}{15 e^8}+\frac{3 b^4 (d+e x)^{14} (b d-a e) (-5 a B e-2 A b e+7 b B d)}{14 e^8}-\frac{5 b^3 (d+e x)^{13} (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{13 e^8}+\frac{5 b^2 (d+e x)^{12} (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{12 e^8}-\frac{3 b (d+e x)^{11} (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{11 e^8}+\frac{(d+e x)^{10} (b d-a e)^5 (-a B e-6 A b e+7 b B d)}{10 e^8}-\frac{(d+e x)^9 (b d-a e)^6 (B d-A e)}{9 e^8}+\frac{b^6 B (d+e x)^{16}}{16 e^8}","-\frac{b^5 (d+e x)^{15} (-6 a B e-A b e+7 b B d)}{15 e^8}+\frac{3 b^4 (d+e x)^{14} (b d-a e) (-5 a B e-2 A b e+7 b B d)}{14 e^8}-\frac{5 b^3 (d+e x)^{13} (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{13 e^8}+\frac{5 b^2 (d+e x)^{12} (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{12 e^8}-\frac{3 b (d+e x)^{11} (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{11 e^8}+\frac{(d+e x)^{10} (b d-a e)^5 (-a B e-6 A b e+7 b B d)}{10 e^8}-\frac{(d+e x)^9 (b d-a e)^6 (B d-A e)}{9 e^8}+\frac{b^6 B (d+e x)^{16}}{16 e^8}",1,"-((b*d - a*e)^6*(B*d - A*e)*(d + e*x)^9)/(9*e^8) + ((b*d - a*e)^5*(7*b*B*d - 6*A*b*e - a*B*e)*(d + e*x)^10)/(10*e^8) - (3*b*(b*d - a*e)^4*(7*b*B*d - 5*A*b*e - 2*a*B*e)*(d + e*x)^11)/(11*e^8) + (5*b^2*(b*d - a*e)^3*(7*b*B*d - 4*A*b*e - 3*a*B*e)*(d + e*x)^12)/(12*e^8) - (5*b^3*(b*d - a*e)^2*(7*b*B*d - 3*A*b*e - 4*a*B*e)*(d + e*x)^13)/(13*e^8) + (3*b^4*(b*d - a*e)*(7*b*B*d - 2*A*b*e - 5*a*B*e)*(d + e*x)^14)/(14*e^8) - (b^5*(7*b*B*d - A*b*e - 6*a*B*e)*(d + e*x)^15)/(15*e^8) + (b^6*B*(d + e*x)^16)/(16*e^8)","A",2,1,20,0.05000,1,"{77}"
1052,1,292,0,1.1225773,"\int (a+b x)^6 (A+B x) (d+e x)^7 \, dx","Int[(a + b*x)^6*(A + B*x)*(d + e*x)^7,x]","-\frac{b^5 (d+e x)^{14} (-6 a B e-A b e+7 b B d)}{14 e^8}+\frac{3 b^4 (d+e x)^{13} (b d-a e) (-5 a B e-2 A b e+7 b B d)}{13 e^8}-\frac{5 b^3 (d+e x)^{12} (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{12 e^8}+\frac{5 b^2 (d+e x)^{11} (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{11 e^8}-\frac{3 b (d+e x)^{10} (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{10 e^8}+\frac{(d+e x)^9 (b d-a e)^5 (-a B e-6 A b e+7 b B d)}{9 e^8}-\frac{(d+e x)^8 (b d-a e)^6 (B d-A e)}{8 e^8}+\frac{b^6 B (d+e x)^{15}}{15 e^8}","-\frac{b^5 (d+e x)^{14} (-6 a B e-A b e+7 b B d)}{14 e^8}+\frac{3 b^4 (d+e x)^{13} (b d-a e) (-5 a B e-2 A b e+7 b B d)}{13 e^8}-\frac{5 b^3 (d+e x)^{12} (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{12 e^8}+\frac{5 b^2 (d+e x)^{11} (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{11 e^8}-\frac{3 b (d+e x)^{10} (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{10 e^8}+\frac{(d+e x)^9 (b d-a e)^5 (-a B e-6 A b e+7 b B d)}{9 e^8}-\frac{(d+e x)^8 (b d-a e)^6 (B d-A e)}{8 e^8}+\frac{b^6 B (d+e x)^{15}}{15 e^8}",1,"-((b*d - a*e)^6*(B*d - A*e)*(d + e*x)^8)/(8*e^8) + ((b*d - a*e)^5*(7*b*B*d - 6*A*b*e - a*B*e)*(d + e*x)^9)/(9*e^8) - (3*b*(b*d - a*e)^4*(7*b*B*d - 5*A*b*e - 2*a*B*e)*(d + e*x)^10)/(10*e^8) + (5*b^2*(b*d - a*e)^3*(7*b*B*d - 4*A*b*e - 3*a*B*e)*(d + e*x)^11)/(11*e^8) - (5*b^3*(b*d - a*e)^2*(7*b*B*d - 3*A*b*e - 4*a*B*e)*(d + e*x)^12)/(12*e^8) + (3*b^4*(b*d - a*e)*(7*b*B*d - 2*A*b*e - 5*a*B*e)*(d + e*x)^13)/(13*e^8) - (b^5*(7*b*B*d - A*b*e - 6*a*B*e)*(d + e*x)^14)/(14*e^8) + (b^6*B*(d + e*x)^15)/(15*e^8)","A",2,1,20,0.05000,1,"{77}"
1053,1,290,0,0.9776257,"\int (a+b x)^6 (A+B x) (d+e x)^6 \, dx","Int[(a + b*x)^6*(A + B*x)*(d + e*x)^6,x]","\frac{e^5 (a+b x)^{13} (-7 a B e+A b e+6 b B d)}{13 b^8}+\frac{e^4 (a+b x)^{12} (b d-a e) (-7 a B e+2 A b e+5 b B d)}{4 b^8}+\frac{5 e^3 (a+b x)^{11} (b d-a e)^2 (-7 a B e+3 A b e+4 b B d)}{11 b^8}+\frac{e^2 (a+b x)^{10} (b d-a e)^3 (-7 a B e+4 A b e+3 b B d)}{2 b^8}+\frac{e (a+b x)^9 (b d-a e)^4 (-7 a B e+5 A b e+2 b B d)}{3 b^8}+\frac{(a+b x)^8 (b d-a e)^5 (-7 a B e+6 A b e+b B d)}{8 b^8}+\frac{(a+b x)^7 (A b-a B) (b d-a e)^6}{7 b^8}+\frac{B e^6 (a+b x)^{14}}{14 b^8}","\frac{e^5 (a+b x)^{13} (-7 a B e+A b e+6 b B d)}{13 b^8}+\frac{e^4 (a+b x)^{12} (b d-a e) (-7 a B e+2 A b e+5 b B d)}{4 b^8}+\frac{5 e^3 (a+b x)^{11} (b d-a e)^2 (-7 a B e+3 A b e+4 b B d)}{11 b^8}+\frac{e^2 (a+b x)^{10} (b d-a e)^3 (-7 a B e+4 A b e+3 b B d)}{2 b^8}+\frac{e (a+b x)^9 (b d-a e)^4 (-7 a B e+5 A b e+2 b B d)}{3 b^8}+\frac{(a+b x)^8 (b d-a e)^5 (-7 a B e+6 A b e+b B d)}{8 b^8}+\frac{(a+b x)^7 (A b-a B) (b d-a e)^6}{7 b^8}+\frac{B e^6 (a+b x)^{14}}{14 b^8}",1,"((A*b - a*B)*(b*d - a*e)^6*(a + b*x)^7)/(7*b^8) + ((b*d - a*e)^5*(b*B*d + 6*A*b*e - 7*a*B*e)*(a + b*x)^8)/(8*b^8) + (e*(b*d - a*e)^4*(2*b*B*d + 5*A*b*e - 7*a*B*e)*(a + b*x)^9)/(3*b^8) + (e^2*(b*d - a*e)^3*(3*b*B*d + 4*A*b*e - 7*a*B*e)*(a + b*x)^10)/(2*b^8) + (5*e^3*(b*d - a*e)^2*(4*b*B*d + 3*A*b*e - 7*a*B*e)*(a + b*x)^11)/(11*b^8) + (e^4*(b*d - a*e)*(5*b*B*d + 2*A*b*e - 7*a*B*e)*(a + b*x)^12)/(4*b^8) + (e^5*(6*b*B*d + A*b*e - 7*a*B*e)*(a + b*x)^13)/(13*b^8) + (B*e^6*(a + b*x)^14)/(14*b^8)","A",2,1,20,0.05000,1,"{77}"
1054,1,240,0,0.7940179,"\int (a+b x)^6 (A+B x) (d+e x)^5 \, dx","Int[(a + b*x)^6*(A + B*x)*(d + e*x)^5,x]","\frac{e^4 (a+b x)^{12} (-6 a B e+A b e+5 b B d)}{12 b^7}+\frac{5 e^3 (a+b x)^{11} (b d-a e) (-3 a B e+A b e+2 b B d)}{11 b^7}+\frac{e^2 (a+b x)^{10} (b d-a e)^2 (-2 a B e+A b e+b B d)}{b^7}+\frac{5 e (a+b x)^9 (b d-a e)^3 (-3 a B e+2 A b e+b B d)}{9 b^7}+\frac{(a+b x)^8 (b d-a e)^4 (-6 a B e+5 A b e+b B d)}{8 b^7}+\frac{(a+b x)^7 (A b-a B) (b d-a e)^5}{7 b^7}+\frac{B e^5 (a+b x)^{13}}{13 b^7}","\frac{e^4 (a+b x)^{12} (-6 a B e+A b e+5 b B d)}{12 b^7}+\frac{5 e^3 (a+b x)^{11} (b d-a e) (-3 a B e+A b e+2 b B d)}{11 b^7}+\frac{e^2 (a+b x)^{10} (b d-a e)^2 (-2 a B e+A b e+b B d)}{b^7}+\frac{5 e (a+b x)^9 (b d-a e)^3 (-3 a B e+2 A b e+b B d)}{9 b^7}+\frac{(a+b x)^8 (b d-a e)^4 (-6 a B e+5 A b e+b B d)}{8 b^7}+\frac{(a+b x)^7 (A b-a B) (b d-a e)^5}{7 b^7}+\frac{B e^5 (a+b x)^{13}}{13 b^7}",1,"((A*b - a*B)*(b*d - a*e)^5*(a + b*x)^7)/(7*b^7) + ((b*d - a*e)^4*(b*B*d + 5*A*b*e - 6*a*B*e)*(a + b*x)^8)/(8*b^7) + (5*e*(b*d - a*e)^3*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^9)/(9*b^7) + (e^2*(b*d - a*e)^2*(b*B*d + A*b*e - 2*a*B*e)*(a + b*x)^10)/b^7 + (5*e^3*(b*d - a*e)*(2*b*B*d + A*b*e - 3*a*B*e)*(a + b*x)^11)/(11*b^7) + (e^4*(5*b*B*d + A*b*e - 6*a*B*e)*(a + b*x)^12)/(12*b^7) + (B*e^5*(a + b*x)^13)/(13*b^7)","A",2,1,20,0.05000,1,"{77}"
1055,1,204,0,0.626025,"\int (a+b x)^6 (A+B x) (d+e x)^4 \, dx","Int[(a + b*x)^6*(A + B*x)*(d + e*x)^4,x]","\frac{e^3 (a+b x)^{11} (-5 a B e+A b e+4 b B d)}{11 b^6}+\frac{e^2 (a+b x)^{10} (b d-a e) (-5 a B e+2 A b e+3 b B d)}{5 b^6}+\frac{2 e (a+b x)^9 (b d-a e)^2 (-5 a B e+3 A b e+2 b B d)}{9 b^6}+\frac{(a+b x)^8 (b d-a e)^3 (-5 a B e+4 A b e+b B d)}{8 b^6}+\frac{(a+b x)^7 (A b-a B) (b d-a e)^4}{7 b^6}+\frac{B e^4 (a+b x)^{12}}{12 b^6}","\frac{e^3 (a+b x)^{11} (-5 a B e+A b e+4 b B d)}{11 b^6}+\frac{e^2 (a+b x)^{10} (b d-a e) (-5 a B e+2 A b e+3 b B d)}{5 b^6}+\frac{2 e (a+b x)^9 (b d-a e)^2 (-5 a B e+3 A b e+2 b B d)}{9 b^6}+\frac{(a+b x)^8 (b d-a e)^3 (-5 a B e+4 A b e+b B d)}{8 b^6}+\frac{(a+b x)^7 (A b-a B) (b d-a e)^4}{7 b^6}+\frac{B e^4 (a+b x)^{12}}{12 b^6}",1,"((A*b - a*B)*(b*d - a*e)^4*(a + b*x)^7)/(7*b^6) + ((b*d - a*e)^3*(b*B*d + 4*A*b*e - 5*a*B*e)*(a + b*x)^8)/(8*b^6) + (2*e*(b*d - a*e)^2*(2*b*B*d + 3*A*b*e - 5*a*B*e)*(a + b*x)^9)/(9*b^6) + (e^2*(b*d - a*e)*(3*b*B*d + 2*A*b*e - 5*a*B*e)*(a + b*x)^10)/(5*b^6) + (e^3*(4*b*B*d + A*b*e - 5*a*B*e)*(a + b*x)^11)/(11*b^6) + (B*e^4*(a + b*x)^12)/(12*b^6)","A",2,1,20,0.05000,1,"{77}"
1056,1,159,0,0.4676942,"\int (a+b x)^6 (A+B x) (d+e x)^3 \, dx","Int[(a + b*x)^6*(A + B*x)*(d + e*x)^3,x]","\frac{e^2 (a+b x)^{10} (-4 a B e+A b e+3 b B d)}{10 b^5}+\frac{e (a+b x)^9 (b d-a e) (-2 a B e+A b e+b B d)}{3 b^5}+\frac{(a+b x)^8 (b d-a e)^2 (-4 a B e+3 A b e+b B d)}{8 b^5}+\frac{(a+b x)^7 (A b-a B) (b d-a e)^3}{7 b^5}+\frac{B e^3 (a+b x)^{11}}{11 b^5}","\frac{e^2 (a+b x)^{10} (-4 a B e+A b e+3 b B d)}{10 b^5}+\frac{e (a+b x)^9 (b d-a e) (-2 a B e+A b e+b B d)}{3 b^5}+\frac{(a+b x)^8 (b d-a e)^2 (-4 a B e+3 A b e+b B d)}{8 b^5}+\frac{(a+b x)^7 (A b-a B) (b d-a e)^3}{7 b^5}+\frac{B e^3 (a+b x)^{11}}{11 b^5}",1,"((A*b - a*B)*(b*d - a*e)^3*(a + b*x)^7)/(7*b^5) + ((b*d - a*e)^2*(b*B*d + 3*A*b*e - 4*a*B*e)*(a + b*x)^8)/(8*b^5) + (e*(b*d - a*e)*(b*B*d + A*b*e - 2*a*B*e)*(a + b*x)^9)/(3*b^5) + (e^2*(3*b*B*d + A*b*e - 4*a*B*e)*(a + b*x)^10)/(10*b^5) + (B*e^3*(a + b*x)^11)/(11*b^5)","A",2,1,20,0.05000,1,"{77}"
1057,1,118,0,0.3263898,"\int (a+b x)^6 (A+B x) (d+e x)^2 \, dx","Int[(a + b*x)^6*(A + B*x)*(d + e*x)^2,x]","\frac{e (a+b x)^9 (-3 a B e+A b e+2 b B d)}{9 b^4}+\frac{(a+b x)^8 (b d-a e) (-3 a B e+2 A b e+b B d)}{8 b^4}+\frac{(a+b x)^7 (A b-a B) (b d-a e)^2}{7 b^4}+\frac{B e^2 (a+b x)^{10}}{10 b^4}","\frac{e (a+b x)^9 (-3 a B e+A b e+2 b B d)}{9 b^4}+\frac{(a+b x)^8 (b d-a e) (-3 a B e+2 A b e+b B d)}{8 b^4}+\frac{(a+b x)^7 (A b-a B) (b d-a e)^2}{7 b^4}+\frac{B e^2 (a+b x)^{10}}{10 b^4}",1,"((A*b - a*B)*(b*d - a*e)^2*(a + b*x)^7)/(7*b^4) + ((b*d - a*e)*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^8)/(8*b^4) + (e*(2*b*B*d + A*b*e - 3*a*B*e)*(a + b*x)^9)/(9*b^4) + (B*e^2*(a + b*x)^10)/(10*b^4)","A",2,1,20,0.05000,1,"{77}"
1058,1,75,0,0.1950875,"\int (a+b x)^6 (A+B x) (d+e x) \, dx","Int[(a + b*x)^6*(A + B*x)*(d + e*x),x]","\frac{(a+b x)^8 (-2 a B e+A b e+b B d)}{8 b^3}+\frac{(a+b x)^7 (A b-a B) (b d-a e)}{7 b^3}+\frac{B e (a+b x)^9}{9 b^3}","\frac{(a+b x)^8 (-2 a B e+A b e+b B d)}{8 b^3}+\frac{(a+b x)^7 (A b-a B) (b d-a e)}{7 b^3}+\frac{B e (a+b x)^9}{9 b^3}",1,"((A*b - a*B)*(b*d - a*e)*(a + b*x)^7)/(7*b^3) + ((b*B*d + A*b*e - 2*a*B*e)*(a + b*x)^8)/(8*b^3) + (B*e*(a + b*x)^9)/(9*b^3)","A",2,1,18,0.05556,1,"{77}"
1059,1,38,0,0.0154312,"\int (a+b x)^6 (A+B x) \, dx","Int[(a + b*x)^6*(A + B*x),x]","\frac{(a+b x)^7 (A b-a B)}{7 b^2}+\frac{B (a+b x)^8}{8 b^2}","\frac{(a+b x)^7 (A b-a B)}{7 b^2}+\frac{B (a+b x)^8}{8 b^2}",1,"((A*b - a*B)*(a + b*x)^7)/(7*b^2) + (B*(a + b*x)^8)/(8*b^2)","A",2,1,13,0.07692,1,"{43}"
1060,1,220,0,0.1935236,"\int \frac{(a+b x)^6 (A+B x)}{d+e x} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x),x]","-\frac{(a+b x)^6 (B d-A e)}{6 e^2}+\frac{(a+b x)^5 (b d-a e) (B d-A e)}{5 e^3}-\frac{(a+b x)^4 (b d-a e)^2 (B d-A e)}{4 e^4}+\frac{(a+b x)^3 (b d-a e)^3 (B d-A e)}{3 e^5}-\frac{(a+b x)^2 (b d-a e)^4 (B d-A e)}{2 e^6}+\frac{b x (b d-a e)^5 (B d-A e)}{e^7}-\frac{(b d-a e)^6 (B d-A e) \log (d+e x)}{e^8}+\frac{B (a+b x)^7}{7 b e}","-\frac{(a+b x)^6 (B d-A e)}{6 e^2}+\frac{(a+b x)^5 (b d-a e) (B d-A e)}{5 e^3}-\frac{(a+b x)^4 (b d-a e)^2 (B d-A e)}{4 e^4}+\frac{(a+b x)^3 (b d-a e)^3 (B d-A e)}{3 e^5}-\frac{(a+b x)^2 (b d-a e)^4 (B d-A e)}{2 e^6}+\frac{b x (b d-a e)^5 (B d-A e)}{e^7}-\frac{(b d-a e)^6 (B d-A e) \log (d+e x)}{e^8}+\frac{B (a+b x)^7}{7 b e}",1,"(b*(b*d - a*e)^5*(B*d - A*e)*x)/e^7 - ((b*d - a*e)^4*(B*d - A*e)*(a + b*x)^2)/(2*e^6) + ((b*d - a*e)^3*(B*d - A*e)*(a + b*x)^3)/(3*e^5) - ((b*d - a*e)^2*(B*d - A*e)*(a + b*x)^4)/(4*e^4) + ((b*d - a*e)*(B*d - A*e)*(a + b*x)^5)/(5*e^3) - ((B*d - A*e)*(a + b*x)^6)/(6*e^2) + (B*(a + b*x)^7)/(7*b*e) - ((b*d - a*e)^6*(B*d - A*e)*Log[d + e*x])/e^8","A",2,1,20,0.05000,1,"{77}"
1061,1,277,0,0.5929992,"\int \frac{(a+b x)^6 (A+B x)}{(d+e x)^2} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x)^2,x]","\frac{5 b^2 (d+e x)^2 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{2 e^8}-\frac{5 b^3 (d+e x)^3 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{3 e^8}+\frac{3 b^4 (d+e x)^4 (b d-a e) (-5 a B e-2 A b e+7 b B d)}{4 e^8}-\frac{b^5 (d+e x)^5 (-6 a B e-A b e+7 b B d)}{5 e^8}+\frac{(b d-a e)^6 (B d-A e)}{e^8 (d+e x)}-\frac{3 b x (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{e^7}+\frac{(b d-a e)^5 \log (d+e x) (-a B e-6 A b e+7 b B d)}{e^8}+\frac{b^6 B (d+e x)^6}{6 e^8}","\frac{5 b^2 (d+e x)^2 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{2 e^8}-\frac{5 b^3 (d+e x)^3 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{3 e^8}+\frac{3 b^4 (d+e x)^4 (b d-a e) (-5 a B e-2 A b e+7 b B d)}{4 e^8}-\frac{b^5 (d+e x)^5 (-6 a B e-A b e+7 b B d)}{5 e^8}+\frac{(b d-a e)^6 (B d-A e)}{e^8 (d+e x)}-\frac{3 b x (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{e^7}+\frac{(b d-a e)^5 \log (d+e x) (-a B e-6 A b e+7 b B d)}{e^8}+\frac{b^6 B (d+e x)^6}{6 e^8}",1,"(-3*b*(b*d - a*e)^4*(7*b*B*d - 5*A*b*e - 2*a*B*e)*x)/e^7 + ((b*d - a*e)^6*(B*d - A*e))/(e^8*(d + e*x)) + (5*b^2*(b*d - a*e)^3*(7*b*B*d - 4*A*b*e - 3*a*B*e)*(d + e*x)^2)/(2*e^8) - (5*b^3*(b*d - a*e)^2*(7*b*B*d - 3*A*b*e - 4*a*B*e)*(d + e*x)^3)/(3*e^8) + (3*b^4*(b*d - a*e)*(7*b*B*d - 2*A*b*e - 5*a*B*e)*(d + e*x)^4)/(4*e^8) - (b^5*(7*b*B*d - A*b*e - 6*a*B*e)*(d + e*x)^5)/(5*e^8) + (b^6*B*(d + e*x)^6)/(6*e^8) + ((b*d - a*e)^5*(7*b*B*d - 6*A*b*e - a*B*e)*Log[d + e*x])/e^8","A",2,1,20,0.05000,1,"{77}"
1062,1,276,0,0.5028306,"\int \frac{(a+b x)^6 (A+B x)}{(d+e x)^3} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x)^3,x]","-\frac{b^5 (d+e x)^4 (-6 a B e-A b e+7 b B d)}{4 e^8}+\frac{b^4 (d+e x)^3 (b d-a e) (-5 a B e-2 A b e+7 b B d)}{e^8}-\frac{5 b^3 (d+e x)^2 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{2 e^8}+\frac{5 b^2 x (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{e^7}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{e^8 (d+e x)}+\frac{(b d-a e)^6 (B d-A e)}{2 e^8 (d+e x)^2}-\frac{3 b (b d-a e)^4 \log (d+e x) (-2 a B e-5 A b e+7 b B d)}{e^8}+\frac{b^6 B (d+e x)^5}{5 e^8}","-\frac{b^5 (d+e x)^4 (-6 a B e-A b e+7 b B d)}{4 e^8}+\frac{b^4 (d+e x)^3 (b d-a e) (-5 a B e-2 A b e+7 b B d)}{e^8}-\frac{5 b^3 (d+e x)^2 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{2 e^8}+\frac{5 b^2 x (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{e^7}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{e^8 (d+e x)}+\frac{(b d-a e)^6 (B d-A e)}{2 e^8 (d+e x)^2}-\frac{3 b (b d-a e)^4 \log (d+e x) (-2 a B e-5 A b e+7 b B d)}{e^8}+\frac{b^6 B (d+e x)^5}{5 e^8}",1,"(5*b^2*(b*d - a*e)^3*(7*b*B*d - 4*A*b*e - 3*a*B*e)*x)/e^7 + ((b*d - a*e)^6*(B*d - A*e))/(2*e^8*(d + e*x)^2) - ((b*d - a*e)^5*(7*b*B*d - 6*A*b*e - a*B*e))/(e^8*(d + e*x)) - (5*b^3*(b*d - a*e)^2*(7*b*B*d - 3*A*b*e - 4*a*B*e)*(d + e*x)^2)/(2*e^8) + (b^4*(b*d - a*e)*(7*b*B*d - 2*A*b*e - 5*a*B*e)*(d + e*x)^3)/e^8 - (b^5*(7*b*B*d - A*b*e - 6*a*B*e)*(d + e*x)^4)/(4*e^8) + (b^6*B*(d + e*x)^5)/(5*e^8) - (3*b*(b*d - a*e)^4*(7*b*B*d - 5*A*b*e - 2*a*B*e)*Log[d + e*x])/e^8","A",2,1,20,0.05000,1,"{77}"
1063,1,279,0,0.4497564,"\int \frac{(a+b x)^6 (A+B x)}{(d+e x)^4} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x)^4,x]","-\frac{b^5 (d+e x)^3 (-6 a B e-A b e+7 b B d)}{3 e^8}+\frac{3 b^4 (d+e x)^2 (b d-a e) (-5 a B e-2 A b e+7 b B d)}{2 e^8}-\frac{5 b^3 x (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{e^7}+\frac{5 b^2 (b d-a e)^3 \log (d+e x) (-3 a B e-4 A b e+7 b B d)}{e^8}+\frac{3 b (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{e^8 (d+e x)}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{2 e^8 (d+e x)^2}+\frac{(b d-a e)^6 (B d-A e)}{3 e^8 (d+e x)^3}+\frac{b^6 B (d+e x)^4}{4 e^8}","-\frac{b^5 (d+e x)^3 (-6 a B e-A b e+7 b B d)}{3 e^8}+\frac{3 b^4 (d+e x)^2 (b d-a e) (-5 a B e-2 A b e+7 b B d)}{2 e^8}-\frac{5 b^3 x (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{e^7}+\frac{5 b^2 (b d-a e)^3 \log (d+e x) (-3 a B e-4 A b e+7 b B d)}{e^8}+\frac{3 b (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{e^8 (d+e x)}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{2 e^8 (d+e x)^2}+\frac{(b d-a e)^6 (B d-A e)}{3 e^8 (d+e x)^3}+\frac{b^6 B (d+e x)^4}{4 e^8}",1,"(-5*b^3*(b*d - a*e)^2*(7*b*B*d - 3*A*b*e - 4*a*B*e)*x)/e^7 + ((b*d - a*e)^6*(B*d - A*e))/(3*e^8*(d + e*x)^3) - ((b*d - a*e)^5*(7*b*B*d - 6*A*b*e - a*B*e))/(2*e^8*(d + e*x)^2) + (3*b*(b*d - a*e)^4*(7*b*B*d - 5*A*b*e - 2*a*B*e))/(e^8*(d + e*x)) + (3*b^4*(b*d - a*e)*(7*b*B*d - 2*A*b*e - 5*a*B*e)*(d + e*x)^2)/(2*e^8) - (b^5*(7*b*B*d - A*b*e - 6*a*B*e)*(d + e*x)^3)/(3*e^8) + (b^6*B*(d + e*x)^4)/(4*e^8) + (5*b^2*(b*d - a*e)^3*(7*b*B*d - 4*A*b*e - 3*a*B*e)*Log[d + e*x])/e^8","A",2,1,20,0.05000,1,"{77}"
1064,1,279,0,0.4136091,"\int \frac{(a+b x)^6 (A+B x)}{(d+e x)^5} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x)^5,x]","-\frac{b^5 (d+e x)^2 (-6 a B e-A b e+7 b B d)}{2 e^8}+\frac{3 b^4 x (b d-a e) (-5 a B e-2 A b e+7 b B d)}{e^7}-\frac{5 b^2 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{e^8 (d+e x)}-\frac{5 b^3 (b d-a e)^2 \log (d+e x) (-4 a B e-3 A b e+7 b B d)}{e^8}+\frac{3 b (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{2 e^8 (d+e x)^2}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{3 e^8 (d+e x)^3}+\frac{(b d-a e)^6 (B d-A e)}{4 e^8 (d+e x)^4}+\frac{b^6 B (d+e x)^3}{3 e^8}","-\frac{b^5 (d+e x)^2 (-6 a B e-A b e+7 b B d)}{2 e^8}+\frac{3 b^4 x (b d-a e) (-5 a B e-2 A b e+7 b B d)}{e^7}-\frac{5 b^2 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{e^8 (d+e x)}-\frac{5 b^3 (b d-a e)^2 \log (d+e x) (-4 a B e-3 A b e+7 b B d)}{e^8}+\frac{3 b (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{2 e^8 (d+e x)^2}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{3 e^8 (d+e x)^3}+\frac{(b d-a e)^6 (B d-A e)}{4 e^8 (d+e x)^4}+\frac{b^6 B (d+e x)^3}{3 e^8}",1,"(3*b^4*(b*d - a*e)*(7*b*B*d - 2*A*b*e - 5*a*B*e)*x)/e^7 + ((b*d - a*e)^6*(B*d - A*e))/(4*e^8*(d + e*x)^4) - ((b*d - a*e)^5*(7*b*B*d - 6*A*b*e - a*B*e))/(3*e^8*(d + e*x)^3) + (3*b*(b*d - a*e)^4*(7*b*B*d - 5*A*b*e - 2*a*B*e))/(2*e^8*(d + e*x)^2) - (5*b^2*(b*d - a*e)^3*(7*b*B*d - 4*A*b*e - 3*a*B*e))/(e^8*(d + e*x)) - (b^5*(7*b*B*d - A*b*e - 6*a*B*e)*(d + e*x)^2)/(2*e^8) + (b^6*B*(d + e*x)^3)/(3*e^8) - (5*b^3*(b*d - a*e)^2*(7*b*B*d - 3*A*b*e - 4*a*B*e)*Log[d + e*x])/e^8","A",2,1,20,0.05000,1,"{77}"
1065,1,272,0,0.3585525,"\int \frac{(a+b x)^6 (A+B x)}{(d+e x)^6} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x)^6,x]","-\frac{b^5 x (-6 a B e-A b e+6 b B d)}{e^7}+\frac{5 b^3 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{e^8 (d+e x)}-\frac{5 b^2 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{2 e^8 (d+e x)^2}+\frac{3 b^4 (b d-a e) \log (d+e x) (-5 a B e-2 A b e+7 b B d)}{e^8}+\frac{b (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{e^8 (d+e x)^3}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{4 e^8 (d+e x)^4}+\frac{(b d-a e)^6 (B d-A e)}{5 e^8 (d+e x)^5}+\frac{b^6 B x^2}{2 e^6}","-\frac{b^5 x (-6 a B e-A b e+6 b B d)}{e^7}+\frac{5 b^3 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{e^8 (d+e x)}-\frac{5 b^2 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{2 e^8 (d+e x)^2}+\frac{3 b^4 (b d-a e) \log (d+e x) (-5 a B e-2 A b e+7 b B d)}{e^8}+\frac{b (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{e^8 (d+e x)^3}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{4 e^8 (d+e x)^4}+\frac{(b d-a e)^6 (B d-A e)}{5 e^8 (d+e x)^5}+\frac{b^6 B x^2}{2 e^6}",1,"-((b^5*(6*b*B*d - A*b*e - 6*a*B*e)*x)/e^7) + (b^6*B*x^2)/(2*e^6) + ((b*d - a*e)^6*(B*d - A*e))/(5*e^8*(d + e*x)^5) - ((b*d - a*e)^5*(7*b*B*d - 6*A*b*e - a*B*e))/(4*e^8*(d + e*x)^4) + (b*(b*d - a*e)^4*(7*b*B*d - 5*A*b*e - 2*a*B*e))/(e^8*(d + e*x)^3) - (5*b^2*(b*d - a*e)^3*(7*b*B*d - 4*A*b*e - 3*a*B*e))/(2*e^8*(d + e*x)^2) + (5*b^3*(b*d - a*e)^2*(7*b*B*d - 3*A*b*e - 4*a*B*e))/(e^8*(d + e*x)) + (3*b^4*(b*d - a*e)*(7*b*B*d - 2*A*b*e - 5*a*B*e)*Log[d + e*x])/e^8","A",2,1,20,0.05000,1,"{77}"
1066,1,278,0,0.3260385,"\int \frac{(a+b x)^6 (A+B x)}{(d+e x)^7} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x)^7,x]","-\frac{3 b^4 (b d-a e) (-5 a B e-2 A b e+7 b B d)}{e^8 (d+e x)}+\frac{5 b^3 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{2 e^8 (d+e x)^2}-\frac{5 b^2 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{3 e^8 (d+e x)^3}-\frac{b^5 \log (d+e x) (-6 a B e-A b e+7 b B d)}{e^8}+\frac{3 b (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{4 e^8 (d+e x)^4}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{5 e^8 (d+e x)^5}+\frac{(b d-a e)^6 (B d-A e)}{6 e^8 (d+e x)^6}+\frac{b^6 B x}{e^7}","-\frac{3 b^4 (b d-a e) (-5 a B e-2 A b e+7 b B d)}{e^8 (d+e x)}+\frac{5 b^3 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{2 e^8 (d+e x)^2}-\frac{5 b^2 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{3 e^8 (d+e x)^3}-\frac{b^5 \log (d+e x) (-6 a B e-A b e+7 b B d)}{e^8}+\frac{3 b (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{4 e^8 (d+e x)^4}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{5 e^8 (d+e x)^5}+\frac{(b d-a e)^6 (B d-A e)}{6 e^8 (d+e x)^6}+\frac{b^6 B x}{e^7}",1,"(b^6*B*x)/e^7 + ((b*d - a*e)^6*(B*d - A*e))/(6*e^8*(d + e*x)^6) - ((b*d - a*e)^5*(7*b*B*d - 6*A*b*e - a*B*e))/(5*e^8*(d + e*x)^5) + (3*b*(b*d - a*e)^4*(7*b*B*d - 5*A*b*e - 2*a*B*e))/(4*e^8*(d + e*x)^4) - (5*b^2*(b*d - a*e)^3*(7*b*B*d - 4*A*b*e - 3*a*B*e))/(3*e^8*(d + e*x)^3) + (5*b^3*(b*d - a*e)^2*(7*b*B*d - 3*A*b*e - 4*a*B*e))/(2*e^8*(d + e*x)^2) - (3*b^4*(b*d - a*e)*(7*b*B*d - 2*A*b*e - 5*a*B*e))/(e^8*(d + e*x)) - (b^5*(7*b*B*d - A*b*e - 6*a*B*e)*Log[d + e*x])/e^8","A",2,1,20,0.05000,1,"{77}"
1067,1,213,0,0.2561133,"\int \frac{(a+b x)^6 (A+B x)}{(d+e x)^8} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x)^8,x]","-\frac{(a+b x)^7 (B d-A e)}{7 e (d+e x)^7 (b d-a e)}+\frac{6 b^5 B (b d-a e)}{e^8 (d+e x)}-\frac{15 b^4 B (b d-a e)^2}{2 e^8 (d+e x)^2}+\frac{20 b^3 B (b d-a e)^3}{3 e^8 (d+e x)^3}-\frac{15 b^2 B (b d-a e)^4}{4 e^8 (d+e x)^4}+\frac{6 b B (b d-a e)^5}{5 e^8 (d+e x)^5}-\frac{B (b d-a e)^6}{6 e^8 (d+e x)^6}+\frac{b^6 B \log (d+e x)}{e^8}","-\frac{(a+b x)^7 (B d-A e)}{7 e (d+e x)^7 (b d-a e)}+\frac{6 b^5 B (b d-a e)}{e^8 (d+e x)}-\frac{15 b^4 B (b d-a e)^2}{2 e^8 (d+e x)^2}+\frac{20 b^3 B (b d-a e)^3}{3 e^8 (d+e x)^3}-\frac{15 b^2 B (b d-a e)^4}{4 e^8 (d+e x)^4}+\frac{6 b B (b d-a e)^5}{5 e^8 (d+e x)^5}-\frac{B (b d-a e)^6}{6 e^8 (d+e x)^6}+\frac{b^6 B \log (d+e x)}{e^8}",1,"-((B*d - A*e)*(a + b*x)^7)/(7*e*(b*d - a*e)*(d + e*x)^7) - (B*(b*d - a*e)^6)/(6*e^8*(d + e*x)^6) + (6*b*B*(b*d - a*e)^5)/(5*e^8*(d + e*x)^5) - (15*b^2*B*(b*d - a*e)^4)/(4*e^8*(d + e*x)^4) + (20*b^3*B*(b*d - a*e)^3)/(3*e^8*(d + e*x)^3) - (15*b^4*B*(b*d - a*e)^2)/(2*e^8*(d + e*x)^2) + (6*b^5*B*(b*d - a*e))/(e^8*(d + e*x)) + (b^6*B*Log[d + e*x])/e^8","A",3,2,20,0.1000,1,"{78, 43}"
1068,1,86,0,0.0347568,"\int \frac{(a+b x)^6 (A+B x)}{(d+e x)^9} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x)^9,x]","\frac{(a+b x)^7 (-8 a B e+A b e+7 b B d)}{56 e (d+e x)^7 (b d-a e)^2}-\frac{(a+b x)^7 (B d-A e)}{8 e (d+e x)^8 (b d-a e)}","\frac{(a+b x)^7 (-8 a B e+A b e+7 b B d)}{56 e (d+e x)^7 (b d-a e)^2}-\frac{(a+b x)^7 (B d-A e)}{8 e (d+e x)^8 (b d-a e)}",1,"-((B*d - A*e)*(a + b*x)^7)/(8*e*(b*d - a*e)*(d + e*x)^8) + ((7*b*B*d + A*b*e - 8*a*B*e)*(a + b*x)^7)/(56*e*(b*d - a*e)^2*(d + e*x)^7)","A",2,2,20,0.1000,1,"{78, 37}"
1069,1,135,0,0.0584577,"\int \frac{(a+b x)^6 (A+B x)}{(d+e x)^{10}} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x)^10,x]","\frac{b (a+b x)^7 (-9 a B e+2 A b e+7 b B d)}{504 e (d+e x)^7 (b d-a e)^3}+\frac{(a+b x)^7 (-9 a B e+2 A b e+7 b B d)}{72 e (d+e x)^8 (b d-a e)^2}-\frac{(a+b x)^7 (B d-A e)}{9 e (d+e x)^9 (b d-a e)}","\frac{b (a+b x)^7 (-9 a B e+2 A b e+7 b B d)}{504 e (d+e x)^7 (b d-a e)^3}+\frac{(a+b x)^7 (-9 a B e+2 A b e+7 b B d)}{72 e (d+e x)^8 (b d-a e)^2}-\frac{(a+b x)^7 (B d-A e)}{9 e (d+e x)^9 (b d-a e)}",1,"-((B*d - A*e)*(a + b*x)^7)/(9*e*(b*d - a*e)*(d + e*x)^9) + ((7*b*B*d + 2*A*b*e - 9*a*B*e)*(a + b*x)^7)/(72*e*(b*d - a*e)^2*(d + e*x)^8) + (b*(7*b*B*d + 2*A*b*e - 9*a*B*e)*(a + b*x)^7)/(504*e*(b*d - a*e)^3*(d + e*x)^7)","A",3,3,20,0.1500,1,"{78, 45, 37}"
1070,1,185,0,0.0842384,"\int \frac{(a+b x)^6 (A+B x)}{(d+e x)^{11}} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x)^11,x]","\frac{b^2 (a+b x)^7 (-10 a B e+3 A b e+7 b B d)}{2520 e (d+e x)^7 (b d-a e)^4}+\frac{b (a+b x)^7 (-10 a B e+3 A b e+7 b B d)}{360 e (d+e x)^8 (b d-a e)^3}+\frac{(a+b x)^7 (-10 a B e+3 A b e+7 b B d)}{90 e (d+e x)^9 (b d-a e)^2}-\frac{(a+b x)^7 (B d-A e)}{10 e (d+e x)^{10} (b d-a e)}","\frac{b^2 (a+b x)^7 (-10 a B e+3 A b e+7 b B d)}{2520 e (d+e x)^7 (b d-a e)^4}+\frac{b (a+b x)^7 (-10 a B e+3 A b e+7 b B d)}{360 e (d+e x)^8 (b d-a e)^3}+\frac{(a+b x)^7 (-10 a B e+3 A b e+7 b B d)}{90 e (d+e x)^9 (b d-a e)^2}-\frac{(a+b x)^7 (B d-A e)}{10 e (d+e x)^{10} (b d-a e)}",1,"-((B*d - A*e)*(a + b*x)^7)/(10*e*(b*d - a*e)*(d + e*x)^10) + ((7*b*B*d + 3*A*b*e - 10*a*B*e)*(a + b*x)^7)/(90*e*(b*d - a*e)^2*(d + e*x)^9) + (b*(7*b*B*d + 3*A*b*e - 10*a*B*e)*(a + b*x)^7)/(360*e*(b*d - a*e)^3*(d + e*x)^8) + (b^2*(7*b*B*d + 3*A*b*e - 10*a*B*e)*(a + b*x)^7)/(2520*e*(b*d - a*e)^4*(d + e*x)^7)","A",4,3,20,0.1500,1,"{78, 45, 37}"
1071,1,235,0,0.1092626,"\int \frac{(a+b x)^6 (A+B x)}{(d+e x)^{12}} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x)^12,x]","\frac{b^3 (a+b x)^7 (-11 a B e+4 A b e+7 b B d)}{9240 e (d+e x)^7 (b d-a e)^5}+\frac{b^2 (a+b x)^7 (-11 a B e+4 A b e+7 b B d)}{1320 e (d+e x)^8 (b d-a e)^4}+\frac{b (a+b x)^7 (-11 a B e+4 A b e+7 b B d)}{330 e (d+e x)^9 (b d-a e)^3}+\frac{(a+b x)^7 (-11 a B e+4 A b e+7 b B d)}{110 e (d+e x)^{10} (b d-a e)^2}-\frac{(a+b x)^7 (B d-A e)}{11 e (d+e x)^{11} (b d-a e)}","\frac{b^3 (a+b x)^7 (-11 a B e+4 A b e+7 b B d)}{9240 e (d+e x)^7 (b d-a e)^5}+\frac{b^2 (a+b x)^7 (-11 a B e+4 A b e+7 b B d)}{1320 e (d+e x)^8 (b d-a e)^4}+\frac{b (a+b x)^7 (-11 a B e+4 A b e+7 b B d)}{330 e (d+e x)^9 (b d-a e)^3}+\frac{(a+b x)^7 (-11 a B e+4 A b e+7 b B d)}{110 e (d+e x)^{10} (b d-a e)^2}-\frac{(a+b x)^7 (B d-A e)}{11 e (d+e x)^{11} (b d-a e)}",1,"-((B*d - A*e)*(a + b*x)^7)/(11*e*(b*d - a*e)*(d + e*x)^11) + ((7*b*B*d + 4*A*b*e - 11*a*B*e)*(a + b*x)^7)/(110*e*(b*d - a*e)^2*(d + e*x)^10) + (b*(7*b*B*d + 4*A*b*e - 11*a*B*e)*(a + b*x)^7)/(330*e*(b*d - a*e)^3*(d + e*x)^9) + (b^2*(7*b*B*d + 4*A*b*e - 11*a*B*e)*(a + b*x)^7)/(1320*e*(b*d - a*e)^4*(d + e*x)^8) + (b^3*(7*b*B*d + 4*A*b*e - 11*a*B*e)*(a + b*x)^7)/(9240*e*(b*d - a*e)^5*(d + e*x)^7)","A",5,3,20,0.1500,1,"{78, 45, 37}"
1072,1,292,0,0.3203504,"\int \frac{(a+b x)^6 (A+B x)}{(d+e x)^{13}} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x)^13,x]","\frac{b^5 (-6 a B e-A b e+7 b B d)}{6 e^8 (d+e x)^6}-\frac{3 b^4 (b d-a e) (-5 a B e-2 A b e+7 b B d)}{7 e^8 (d+e x)^7}+\frac{5 b^3 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{8 e^8 (d+e x)^8}-\frac{5 b^2 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{9 e^8 (d+e x)^9}+\frac{3 b (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{10 e^8 (d+e x)^{10}}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{11 e^8 (d+e x)^{11}}+\frac{(b d-a e)^6 (B d-A e)}{12 e^8 (d+e x)^{12}}-\frac{b^6 B}{5 e^8 (d+e x)^5}","\frac{b^5 (-6 a B e-A b e+7 b B d)}{6 e^8 (d+e x)^6}-\frac{3 b^4 (b d-a e) (-5 a B e-2 A b e+7 b B d)}{7 e^8 (d+e x)^7}+\frac{5 b^3 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{8 e^8 (d+e x)^8}-\frac{5 b^2 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{9 e^8 (d+e x)^9}+\frac{3 b (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{10 e^8 (d+e x)^{10}}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{11 e^8 (d+e x)^{11}}+\frac{(b d-a e)^6 (B d-A e)}{12 e^8 (d+e x)^{12}}-\frac{b^6 B}{5 e^8 (d+e x)^5}",1,"((b*d - a*e)^6*(B*d - A*e))/(12*e^8*(d + e*x)^12) - ((b*d - a*e)^5*(7*b*B*d - 6*A*b*e - a*B*e))/(11*e^8*(d + e*x)^11) + (3*b*(b*d - a*e)^4*(7*b*B*d - 5*A*b*e - 2*a*B*e))/(10*e^8*(d + e*x)^10) - (5*b^2*(b*d - a*e)^3*(7*b*B*d - 4*A*b*e - 3*a*B*e))/(9*e^8*(d + e*x)^9) + (5*b^3*(b*d - a*e)^2*(7*b*B*d - 3*A*b*e - 4*a*B*e))/(8*e^8*(d + e*x)^8) - (3*b^4*(b*d - a*e)*(7*b*B*d - 2*A*b*e - 5*a*B*e))/(7*e^8*(d + e*x)^7) + (b^5*(7*b*B*d - A*b*e - 6*a*B*e))/(6*e^8*(d + e*x)^6) - (b^6*B)/(5*e^8*(d + e*x)^5)","A",2,1,20,0.05000,1,"{77}"
1073,1,292,0,0.2599177,"\int \frac{(a+b x)^6 (A+B x)}{(d+e x)^{14}} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x)^14,x]","\frac{b^5 (-6 a B e-A b e+7 b B d)}{7 e^8 (d+e x)^7}-\frac{3 b^4 (b d-a e) (-5 a B e-2 A b e+7 b B d)}{8 e^8 (d+e x)^8}+\frac{5 b^3 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{9 e^8 (d+e x)^9}-\frac{b^2 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{2 e^8 (d+e x)^{10}}+\frac{3 b (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{11 e^8 (d+e x)^{11}}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{12 e^8 (d+e x)^{12}}+\frac{(b d-a e)^6 (B d-A e)}{13 e^8 (d+e x)^{13}}-\frac{b^6 B}{6 e^8 (d+e x)^6}","\frac{b^5 (-6 a B e-A b e+7 b B d)}{7 e^8 (d+e x)^7}-\frac{3 b^4 (b d-a e) (-5 a B e-2 A b e+7 b B d)}{8 e^8 (d+e x)^8}+\frac{5 b^3 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{9 e^8 (d+e x)^9}-\frac{b^2 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{2 e^8 (d+e x)^{10}}+\frac{3 b (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{11 e^8 (d+e x)^{11}}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{12 e^8 (d+e x)^{12}}+\frac{(b d-a e)^6 (B d-A e)}{13 e^8 (d+e x)^{13}}-\frac{b^6 B}{6 e^8 (d+e x)^6}",1,"((b*d - a*e)^6*(B*d - A*e))/(13*e^8*(d + e*x)^13) - ((b*d - a*e)^5*(7*b*B*d - 6*A*b*e - a*B*e))/(12*e^8*(d + e*x)^12) + (3*b*(b*d - a*e)^4*(7*b*B*d - 5*A*b*e - 2*a*B*e))/(11*e^8*(d + e*x)^11) - (b^2*(b*d - a*e)^3*(7*b*B*d - 4*A*b*e - 3*a*B*e))/(2*e^8*(d + e*x)^10) + (5*b^3*(b*d - a*e)^2*(7*b*B*d - 3*A*b*e - 4*a*B*e))/(9*e^8*(d + e*x)^9) - (3*b^4*(b*d - a*e)*(7*b*B*d - 2*A*b*e - 5*a*B*e))/(8*e^8*(d + e*x)^8) + (b^5*(7*b*B*d - A*b*e - 6*a*B*e))/(7*e^8*(d + e*x)^7) - (b^6*B)/(6*e^8*(d + e*x)^6)","A",2,1,20,0.05000,1,"{77}"
1074,1,292,0,0.2656174,"\int \frac{(a+b x)^6 (A+B x)}{(d+e x)^{15}} \, dx","Int[((a + b*x)^6*(A + B*x))/(d + e*x)^15,x]","\frac{b^5 (-6 a B e-A b e+7 b B d)}{8 e^8 (d+e x)^8}-\frac{b^4 (b d-a e) (-5 a B e-2 A b e+7 b B d)}{3 e^8 (d+e x)^9}+\frac{b^3 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{2 e^8 (d+e x)^{10}}-\frac{5 b^2 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{11 e^8 (d+e x)^{11}}+\frac{b (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{4 e^8 (d+e x)^{12}}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{13 e^8 (d+e x)^{13}}+\frac{(b d-a e)^6 (B d-A e)}{14 e^8 (d+e x)^{14}}-\frac{b^6 B}{7 e^8 (d+e x)^7}","\frac{b^5 (-6 a B e-A b e+7 b B d)}{8 e^8 (d+e x)^8}-\frac{b^4 (b d-a e) (-5 a B e-2 A b e+7 b B d)}{3 e^8 (d+e x)^9}+\frac{b^3 (b d-a e)^2 (-4 a B e-3 A b e+7 b B d)}{2 e^8 (d+e x)^{10}}-\frac{5 b^2 (b d-a e)^3 (-3 a B e-4 A b e+7 b B d)}{11 e^8 (d+e x)^{11}}+\frac{b (b d-a e)^4 (-2 a B e-5 A b e+7 b B d)}{4 e^8 (d+e x)^{12}}-\frac{(b d-a e)^5 (-a B e-6 A b e+7 b B d)}{13 e^8 (d+e x)^{13}}+\frac{(b d-a e)^6 (B d-A e)}{14 e^8 (d+e x)^{14}}-\frac{b^6 B}{7 e^8 (d+e x)^7}",1,"((b*d - a*e)^6*(B*d - A*e))/(14*e^8*(d + e*x)^14) - ((b*d - a*e)^5*(7*b*B*d - 6*A*b*e - a*B*e))/(13*e^8*(d + e*x)^13) + (b*(b*d - a*e)^4*(7*b*B*d - 5*A*b*e - 2*a*B*e))/(4*e^8*(d + e*x)^12) - (5*b^2*(b*d - a*e)^3*(7*b*B*d - 4*A*b*e - 3*a*B*e))/(11*e^8*(d + e*x)^11) + (b^3*(b*d - a*e)^2*(7*b*B*d - 3*A*b*e - 4*a*B*e))/(2*e^8*(d + e*x)^10) - (b^4*(b*d - a*e)*(7*b*B*d - 2*A*b*e - 5*a*B*e))/(3*e^8*(d + e*x)^9) + (b^5*(7*b*B*d - A*b*e - 6*a*B*e))/(8*e^8*(d + e*x)^8) - (b^6*B)/(7*e^8*(d + e*x)^7)","A",2,1,20,0.05000,1,"{77}"
1075,1,464,0,4.5102957,"\int (a+b x)^{10} (A+B x) (d+e x)^{13} \, dx","Int[(a + b*x)^10*(A + B*x)*(d + e*x)^13,x]","-\frac{b^9 (d+e x)^{24} (-10 a B e-A b e+11 b B d)}{24 e^{12}}+\frac{5 b^8 (d+e x)^{23} (b d-a e) (-9 a B e-2 A b e+11 b B d)}{23 e^{12}}-\frac{15 b^7 (d+e x)^{22} (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{22 e^{12}}+\frac{10 b^6 (d+e x)^{21} (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{7 e^{12}}-\frac{21 b^5 (d+e x)^{20} (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{10 e^{12}}+\frac{42 b^4 (d+e x)^{19} (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{19 e^{12}}-\frac{5 b^3 (d+e x)^{18} (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{3 e^{12}}+\frac{15 b^2 (d+e x)^{17} (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{17 e^{12}}-\frac{5 b (d+e x)^{16} (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{16 e^{12}}+\frac{(d+e x)^{15} (b d-a e)^9 (-a B e-10 A b e+11 b B d)}{15 e^{12}}-\frac{(d+e x)^{14} (b d-a e)^{10} (B d-A e)}{14 e^{12}}+\frac{b^{10} B (d+e x)^{25}}{25 e^{12}}","-\frac{b^9 (d+e x)^{24} (-10 a B e-A b e+11 b B d)}{24 e^{12}}+\frac{5 b^8 (d+e x)^{23} (b d-a e) (-9 a B e-2 A b e+11 b B d)}{23 e^{12}}-\frac{15 b^7 (d+e x)^{22} (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{22 e^{12}}+\frac{10 b^6 (d+e x)^{21} (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{7 e^{12}}-\frac{21 b^5 (d+e x)^{20} (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{10 e^{12}}+\frac{42 b^4 (d+e x)^{19} (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{19 e^{12}}-\frac{5 b^3 (d+e x)^{18} (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{3 e^{12}}+\frac{15 b^2 (d+e x)^{17} (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{17 e^{12}}-\frac{5 b (d+e x)^{16} (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{16 e^{12}}+\frac{(d+e x)^{15} (b d-a e)^9 (-a B e-10 A b e+11 b B d)}{15 e^{12}}-\frac{(d+e x)^{14} (b d-a e)^{10} (B d-A e)}{14 e^{12}}+\frac{b^{10} B (d+e x)^{25}}{25 e^{12}}",1,"-((b*d - a*e)^10*(B*d - A*e)*(d + e*x)^14)/(14*e^12) + ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e)*(d + e*x)^15)/(15*e^12) - (5*b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e)*(d + e*x)^16)/(16*e^12) + (15*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e)*(d + e*x)^17)/(17*e^12) - (5*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e)*(d + e*x)^18)/(3*e^12) + (42*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e)*(d + e*x)^19)/(19*e^12) - (21*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e)*(d + e*x)^20)/(10*e^12) + (10*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e)*(d + e*x)^21)/(7*e^12) - (15*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e)*(d + e*x)^22)/(22*e^12) + (5*b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e)*(d + e*x)^23)/(23*e^12) - (b^9*(11*b*B*d - A*b*e - 10*a*B*e)*(d + e*x)^24)/(24*e^12) + (b^10*B*(d + e*x)^25)/(25*e^12)","A",2,1,20,0.05000,1,"{77}"
1076,1,464,0,4.0765628,"\int (a+b x)^{10} (A+B x) (d+e x)^{12} \, dx","Int[(a + b*x)^10*(A + B*x)*(d + e*x)^12,x]","-\frac{b^9 (d+e x)^{23} (-10 a B e-A b e+11 b B d)}{23 e^{12}}+\frac{5 b^8 (d+e x)^{22} (b d-a e) (-9 a B e-2 A b e+11 b B d)}{22 e^{12}}-\frac{5 b^7 (d+e x)^{21} (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{7 e^{12}}+\frac{3 b^6 (d+e x)^{20} (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{2 e^{12}}-\frac{42 b^5 (d+e x)^{19} (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{19 e^{12}}+\frac{7 b^4 (d+e x)^{18} (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{3 e^{12}}-\frac{30 b^3 (d+e x)^{17} (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{17 e^{12}}+\frac{15 b^2 (d+e x)^{16} (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{16 e^{12}}-\frac{b (d+e x)^{15} (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{3 e^{12}}+\frac{(d+e x)^{14} (b d-a e)^9 (-a B e-10 A b e+11 b B d)}{14 e^{12}}-\frac{(d+e x)^{13} (b d-a e)^{10} (B d-A e)}{13 e^{12}}+\frac{b^{10} B (d+e x)^{24}}{24 e^{12}}","-\frac{b^9 (d+e x)^{23} (-10 a B e-A b e+11 b B d)}{23 e^{12}}+\frac{5 b^8 (d+e x)^{22} (b d-a e) (-9 a B e-2 A b e+11 b B d)}{22 e^{12}}-\frac{5 b^7 (d+e x)^{21} (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{7 e^{12}}+\frac{3 b^6 (d+e x)^{20} (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{2 e^{12}}-\frac{42 b^5 (d+e x)^{19} (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{19 e^{12}}+\frac{7 b^4 (d+e x)^{18} (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{3 e^{12}}-\frac{30 b^3 (d+e x)^{17} (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{17 e^{12}}+\frac{15 b^2 (d+e x)^{16} (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{16 e^{12}}-\frac{b (d+e x)^{15} (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{3 e^{12}}+\frac{(d+e x)^{14} (b d-a e)^9 (-a B e-10 A b e+11 b B d)}{14 e^{12}}-\frac{(d+e x)^{13} (b d-a e)^{10} (B d-A e)}{13 e^{12}}+\frac{b^{10} B (d+e x)^{24}}{24 e^{12}}",1,"-((b*d - a*e)^10*(B*d - A*e)*(d + e*x)^13)/(13*e^12) + ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e)*(d + e*x)^14)/(14*e^12) - (b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e)*(d + e*x)^15)/(3*e^12) + (15*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e)*(d + e*x)^16)/(16*e^12) - (30*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e)*(d + e*x)^17)/(17*e^12) + (7*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e)*(d + e*x)^18)/(3*e^12) - (42*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e)*(d + e*x)^19)/(19*e^12) + (3*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e)*(d + e*x)^20)/(2*e^12) - (5*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e)*(d + e*x)^21)/(7*e^12) + (5*b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e)*(d + e*x)^22)/(22*e^12) - (b^9*(11*b*B*d - A*b*e - 10*a*B*e)*(d + e*x)^23)/(23*e^12) + (b^10*B*(d + e*x)^24)/(24*e^12)","A",2,1,20,0.05000,1,"{77}"
1077,1,461,0,3.5985286,"\int (a+b x)^{10} (A+B x) (d+e x)^{11} \, dx","Int[(a + b*x)^10*(A + B*x)*(d + e*x)^11,x]","-\frac{b^9 (d+e x)^{22} (-10 a B e-A b e+11 b B d)}{22 e^{12}}+\frac{5 b^8 (d+e x)^{21} (b d-a e) (-9 a B e-2 A b e+11 b B d)}{21 e^{12}}-\frac{3 b^7 (d+e x)^{20} (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{4 e^{12}}+\frac{30 b^6 (d+e x)^{19} (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{19 e^{12}}-\frac{7 b^5 (d+e x)^{18} (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{3 e^{12}}+\frac{42 b^4 (d+e x)^{17} (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{17 e^{12}}-\frac{15 b^3 (d+e x)^{16} (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{8 e^{12}}+\frac{b^2 (d+e x)^{15} (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{e^{12}}-\frac{5 b (d+e x)^{14} (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{14 e^{12}}+\frac{(d+e x)^{13} (b d-a e)^9 (-a B e-10 A b e+11 b B d)}{13 e^{12}}-\frac{(d+e x)^{12} (b d-a e)^{10} (B d-A e)}{12 e^{12}}+\frac{b^{10} B (d+e x)^{23}}{23 e^{12}}","-\frac{b^9 (d+e x)^{22} (-10 a B e-A b e+11 b B d)}{22 e^{12}}+\frac{5 b^8 (d+e x)^{21} (b d-a e) (-9 a B e-2 A b e+11 b B d)}{21 e^{12}}-\frac{3 b^7 (d+e x)^{20} (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{4 e^{12}}+\frac{30 b^6 (d+e x)^{19} (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{19 e^{12}}-\frac{7 b^5 (d+e x)^{18} (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{3 e^{12}}+\frac{42 b^4 (d+e x)^{17} (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{17 e^{12}}-\frac{15 b^3 (d+e x)^{16} (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{8 e^{12}}+\frac{b^2 (d+e x)^{15} (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{e^{12}}-\frac{5 b (d+e x)^{14} (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{14 e^{12}}+\frac{(d+e x)^{13} (b d-a e)^9 (-a B e-10 A b e+11 b B d)}{13 e^{12}}-\frac{(d+e x)^{12} (b d-a e)^{10} (B d-A e)}{12 e^{12}}+\frac{b^{10} B (d+e x)^{23}}{23 e^{12}}",1,"-((b*d - a*e)^10*(B*d - A*e)*(d + e*x)^12)/(12*e^12) + ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e)*(d + e*x)^13)/(13*e^12) - (5*b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e)*(d + e*x)^14)/(14*e^12) + (b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e)*(d + e*x)^15)/e^12 - (15*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e)*(d + e*x)^16)/(8*e^12) + (42*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e)*(d + e*x)^17)/(17*e^12) - (7*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e)*(d + e*x)^18)/(3*e^12) + (30*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e)*(d + e*x)^19)/(19*e^12) - (3*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e)*(d + e*x)^20)/(4*e^12) + (5*b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e)*(d + e*x)^21)/(21*e^12) - (b^9*(11*b*B*d - A*b*e - 10*a*B*e)*(d + e*x)^22)/(22*e^12) + (b^10*B*(d + e*x)^23)/(23*e^12)","A",2,1,20,0.05000,1,"{77}"
1078,1,460,0,3.2760462,"\int (a+b x)^{10} (A+B x) (d+e x)^{10} \, dx","Int[(a + b*x)^10*(A + B*x)*(d + e*x)^10,x]","\frac{e^9 (a+b x)^{21} (-11 a B e+A b e+10 b B d)}{21 b^{12}}+\frac{e^8 (a+b x)^{20} (b d-a e) (-11 a B e+2 A b e+9 b B d)}{4 b^{12}}+\frac{15 e^7 (a+b x)^{19} (b d-a e)^2 (-11 a B e+3 A b e+8 b B d)}{19 b^{12}}+\frac{5 e^6 (a+b x)^{18} (b d-a e)^3 (-11 a B e+4 A b e+7 b B d)}{3 b^{12}}+\frac{42 e^5 (a+b x)^{17} (b d-a e)^4 (-11 a B e+5 A b e+6 b B d)}{17 b^{12}}+\frac{21 e^4 (a+b x)^{16} (b d-a e)^5 (-11 a B e+6 A b e+5 b B d)}{8 b^{12}}+\frac{2 e^3 (a+b x)^{15} (b d-a e)^6 (-11 a B e+7 A b e+4 b B d)}{b^{12}}+\frac{15 e^2 (a+b x)^{14} (b d-a e)^7 (-11 a B e+8 A b e+3 b B d)}{14 b^{12}}+\frac{5 e (a+b x)^{13} (b d-a e)^8 (-11 a B e+9 A b e+2 b B d)}{13 b^{12}}+\frac{(a+b x)^{12} (b d-a e)^9 (-11 a B e+10 A b e+b B d)}{12 b^{12}}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^{10}}{11 b^{12}}+\frac{B e^{10} (a+b x)^{22}}{22 b^{12}}","\frac{e^9 (a+b x)^{21} (-11 a B e+A b e+10 b B d)}{21 b^{12}}+\frac{e^8 (a+b x)^{20} (b d-a e) (-11 a B e+2 A b e+9 b B d)}{4 b^{12}}+\frac{15 e^7 (a+b x)^{19} (b d-a e)^2 (-11 a B e+3 A b e+8 b B d)}{19 b^{12}}+\frac{5 e^6 (a+b x)^{18} (b d-a e)^3 (-11 a B e+4 A b e+7 b B d)}{3 b^{12}}+\frac{42 e^5 (a+b x)^{17} (b d-a e)^4 (-11 a B e+5 A b e+6 b B d)}{17 b^{12}}+\frac{21 e^4 (a+b x)^{16} (b d-a e)^5 (-11 a B e+6 A b e+5 b B d)}{8 b^{12}}+\frac{2 e^3 (a+b x)^{15} (b d-a e)^6 (-11 a B e+7 A b e+4 b B d)}{b^{12}}+\frac{15 e^2 (a+b x)^{14} (b d-a e)^7 (-11 a B e+8 A b e+3 b B d)}{14 b^{12}}+\frac{5 e (a+b x)^{13} (b d-a e)^8 (-11 a B e+9 A b e+2 b B d)}{13 b^{12}}+\frac{(a+b x)^{12} (b d-a e)^9 (-11 a B e+10 A b e+b B d)}{12 b^{12}}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^{10}}{11 b^{12}}+\frac{B e^{10} (a+b x)^{22}}{22 b^{12}}",1,"((A*b - a*B)*(b*d - a*e)^10*(a + b*x)^11)/(11*b^12) + ((b*d - a*e)^9*(b*B*d + 10*A*b*e - 11*a*B*e)*(a + b*x)^12)/(12*b^12) + (5*e*(b*d - a*e)^8*(2*b*B*d + 9*A*b*e - 11*a*B*e)*(a + b*x)^13)/(13*b^12) + (15*e^2*(b*d - a*e)^7*(3*b*B*d + 8*A*b*e - 11*a*B*e)*(a + b*x)^14)/(14*b^12) + (2*e^3*(b*d - a*e)^6*(4*b*B*d + 7*A*b*e - 11*a*B*e)*(a + b*x)^15)/b^12 + (21*e^4*(b*d - a*e)^5*(5*b*B*d + 6*A*b*e - 11*a*B*e)*(a + b*x)^16)/(8*b^12) + (42*e^5*(b*d - a*e)^4*(6*b*B*d + 5*A*b*e - 11*a*B*e)*(a + b*x)^17)/(17*b^12) + (5*e^6*(b*d - a*e)^3*(7*b*B*d + 4*A*b*e - 11*a*B*e)*(a + b*x)^18)/(3*b^12) + (15*e^7*(b*d - a*e)^2*(8*b*B*d + 3*A*b*e - 11*a*B*e)*(a + b*x)^19)/(19*b^12) + (e^8*(b*d - a*e)*(9*b*B*d + 2*A*b*e - 11*a*B*e)*(a + b*x)^20)/(4*b^12) + (e^9*(10*b*B*d + A*b*e - 11*a*B*e)*(a + b*x)^21)/(21*b^12) + (B*e^10*(a + b*x)^22)/(22*b^12)","A",2,1,20,0.05000,1,"{77}"
1079,1,415,0,2.7466057,"\int (a+b x)^{10} (A+B x) (d+e x)^9 \, dx","Int[(a + b*x)^10*(A + B*x)*(d + e*x)^9,x]","\frac{e^8 (a+b x)^{20} (-10 a B e+A b e+9 b B d)}{20 b^{11}}+\frac{9 e^7 (a+b x)^{19} (b d-a e) (-5 a B e+A b e+4 b B d)}{19 b^{11}}+\frac{2 e^6 (a+b x)^{18} (b d-a e)^2 (-10 a B e+3 A b e+7 b B d)}{3 b^{11}}+\frac{42 e^5 (a+b x)^{17} (b d-a e)^3 (-5 a B e+2 A b e+3 b B d)}{17 b^{11}}+\frac{63 e^4 (a+b x)^{16} (b d-a e)^4 (-2 a B e+A b e+b B d)}{8 b^{11}}+\frac{14 e^3 (a+b x)^{15} (b d-a e)^5 (-5 a B e+3 A b e+2 b B d)}{5 b^{11}}+\frac{6 e^2 (a+b x)^{14} (b d-a e)^6 (-10 a B e+7 A b e+3 b B d)}{7 b^{11}}+\frac{9 e (a+b x)^{13} (b d-a e)^7 (-5 a B e+4 A b e+b B d)}{13 b^{11}}+\frac{(a+b x)^{12} (b d-a e)^8 (-10 a B e+9 A b e+b B d)}{12 b^{11}}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^9}{11 b^{11}}+\frac{B e^9 (a+b x)^{21}}{21 b^{11}}","\frac{e^8 (a+b x)^{20} (-10 a B e+A b e+9 b B d)}{20 b^{11}}+\frac{9 e^7 (a+b x)^{19} (b d-a e) (-5 a B e+A b e+4 b B d)}{19 b^{11}}+\frac{2 e^6 (a+b x)^{18} (b d-a e)^2 (-10 a B e+3 A b e+7 b B d)}{3 b^{11}}+\frac{42 e^5 (a+b x)^{17} (b d-a e)^3 (-5 a B e+2 A b e+3 b B d)}{17 b^{11}}+\frac{63 e^4 (a+b x)^{16} (b d-a e)^4 (-2 a B e+A b e+b B d)}{8 b^{11}}+\frac{14 e^3 (a+b x)^{15} (b d-a e)^5 (-5 a B e+3 A b e+2 b B d)}{5 b^{11}}+\frac{6 e^2 (a+b x)^{14} (b d-a e)^6 (-10 a B e+7 A b e+3 b B d)}{7 b^{11}}+\frac{9 e (a+b x)^{13} (b d-a e)^7 (-5 a B e+4 A b e+b B d)}{13 b^{11}}+\frac{(a+b x)^{12} (b d-a e)^8 (-10 a B e+9 A b e+b B d)}{12 b^{11}}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^9}{11 b^{11}}+\frac{B e^9 (a+b x)^{21}}{21 b^{11}}",1,"((A*b - a*B)*(b*d - a*e)^9*(a + b*x)^11)/(11*b^11) + ((b*d - a*e)^8*(b*B*d + 9*A*b*e - 10*a*B*e)*(a + b*x)^12)/(12*b^11) + (9*e*(b*d - a*e)^7*(b*B*d + 4*A*b*e - 5*a*B*e)*(a + b*x)^13)/(13*b^11) + (6*e^2*(b*d - a*e)^6*(3*b*B*d + 7*A*b*e - 10*a*B*e)*(a + b*x)^14)/(7*b^11) + (14*e^3*(b*d - a*e)^5*(2*b*B*d + 3*A*b*e - 5*a*B*e)*(a + b*x)^15)/(5*b^11) + (63*e^4*(b*d - a*e)^4*(b*B*d + A*b*e - 2*a*B*e)*(a + b*x)^16)/(8*b^11) + (42*e^5*(b*d - a*e)^3*(3*b*B*d + 2*A*b*e - 5*a*B*e)*(a + b*x)^17)/(17*b^11) + (2*e^6*(b*d - a*e)^2*(7*b*B*d + 3*A*b*e - 10*a*B*e)*(a + b*x)^18)/(3*b^11) + (9*e^7*(b*d - a*e)*(4*b*B*d + A*b*e - 5*a*B*e)*(a + b*x)^19)/(19*b^11) + (e^8*(9*b*B*d + A*b*e - 10*a*B*e)*(a + b*x)^20)/(20*b^11) + (B*e^9*(a + b*x)^21)/(21*b^11)","A",2,1,20,0.05000,1,"{77}"
1080,1,372,0,2.428156,"\int (a+b x)^{10} (A+B x) (d+e x)^8 \, dx","Int[(a + b*x)^10*(A + B*x)*(d + e*x)^8,x]","\frac{e^7 (a+b x)^{19} (-9 a B e+A b e+8 b B d)}{19 b^{10}}+\frac{2 e^6 (a+b x)^{18} (b d-a e) (-9 a B e+2 A b e+7 b B d)}{9 b^{10}}+\frac{28 e^5 (a+b x)^{17} (b d-a e)^2 (-3 a B e+A b e+2 b B d)}{17 b^{10}}+\frac{7 e^4 (a+b x)^{16} (b d-a e)^3 (-9 a B e+4 A b e+5 b B d)}{8 b^{10}}+\frac{14 e^3 (a+b x)^{15} (b d-a e)^4 (-9 a B e+5 A b e+4 b B d)}{15 b^{10}}+\frac{2 e^2 (a+b x)^{14} (b d-a e)^5 (-3 a B e+2 A b e+b B d)}{b^{10}}+\frac{4 e (a+b x)^{13} (b d-a e)^6 (-9 a B e+7 A b e+2 b B d)}{13 b^{10}}+\frac{(a+b x)^{12} (b d-a e)^7 (-9 a B e+8 A b e+b B d)}{12 b^{10}}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^8}{11 b^{10}}+\frac{B e^8 (a+b x)^{20}}{20 b^{10}}","\frac{e^7 (a+b x)^{19} (-9 a B e+A b e+8 b B d)}{19 b^{10}}+\frac{2 e^6 (a+b x)^{18} (b d-a e) (-9 a B e+2 A b e+7 b B d)}{9 b^{10}}+\frac{28 e^5 (a+b x)^{17} (b d-a e)^2 (-3 a B e+A b e+2 b B d)}{17 b^{10}}+\frac{7 e^4 (a+b x)^{16} (b d-a e)^3 (-9 a B e+4 A b e+5 b B d)}{8 b^{10}}+\frac{14 e^3 (a+b x)^{15} (b d-a e)^4 (-9 a B e+5 A b e+4 b B d)}{15 b^{10}}+\frac{2 e^2 (a+b x)^{14} (b d-a e)^5 (-3 a B e+2 A b e+b B d)}{b^{10}}+\frac{4 e (a+b x)^{13} (b d-a e)^6 (-9 a B e+7 A b e+2 b B d)}{13 b^{10}}+\frac{(a+b x)^{12} (b d-a e)^7 (-9 a B e+8 A b e+b B d)}{12 b^{10}}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^8}{11 b^{10}}+\frac{B e^8 (a+b x)^{20}}{20 b^{10}}",1,"((A*b - a*B)*(b*d - a*e)^8*(a + b*x)^11)/(11*b^10) + ((b*d - a*e)^7*(b*B*d + 8*A*b*e - 9*a*B*e)*(a + b*x)^12)/(12*b^10) + (4*e*(b*d - a*e)^6*(2*b*B*d + 7*A*b*e - 9*a*B*e)*(a + b*x)^13)/(13*b^10) + (2*e^2*(b*d - a*e)^5*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^14)/b^10 + (14*e^3*(b*d - a*e)^4*(4*b*B*d + 5*A*b*e - 9*a*B*e)*(a + b*x)^15)/(15*b^10) + (7*e^4*(b*d - a*e)^3*(5*b*B*d + 4*A*b*e - 9*a*B*e)*(a + b*x)^16)/(8*b^10) + (28*e^5*(b*d - a*e)^2*(2*b*B*d + A*b*e - 3*a*B*e)*(a + b*x)^17)/(17*b^10) + (2*e^6*(b*d - a*e)*(7*b*B*d + 2*A*b*e - 9*a*B*e)*(a + b*x)^18)/(9*b^10) + (e^7*(8*b*B*d + A*b*e - 9*a*B*e)*(a + b*x)^19)/(19*b^10) + (B*e^8*(a + b*x)^20)/(20*b^10)","A",2,1,20,0.05000,1,"{77}"
1081,1,329,0,2.0103552,"\int (a+b x)^{10} (A+B x) (d+e x)^7 \, dx","Int[(a + b*x)^10*(A + B*x)*(d + e*x)^7,x]","\frac{e^6 (a+b x)^{18} (-8 a B e+A b e+7 b B d)}{18 b^9}+\frac{7 e^5 (a+b x)^{17} (b d-a e) (-4 a B e+A b e+3 b B d)}{17 b^9}+\frac{7 e^4 (a+b x)^{16} (b d-a e)^2 (-8 a B e+3 A b e+5 b B d)}{16 b^9}+\frac{7 e^3 (a+b x)^{15} (b d-a e)^3 (-2 a B e+A b e+b B d)}{3 b^9}+\frac{e^2 (a+b x)^{14} (b d-a e)^4 (-8 a B e+5 A b e+3 b B d)}{2 b^9}+\frac{7 e (a+b x)^{13} (b d-a e)^5 (-4 a B e+3 A b e+b B d)}{13 b^9}+\frac{(a+b x)^{12} (b d-a e)^6 (-8 a B e+7 A b e+b B d)}{12 b^9}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^7}{11 b^9}+\frac{B e^7 (a+b x)^{19}}{19 b^9}","\frac{e^6 (a+b x)^{18} (-8 a B e+A b e+7 b B d)}{18 b^9}+\frac{7 e^5 (a+b x)^{17} (b d-a e) (-4 a B e+A b e+3 b B d)}{17 b^9}+\frac{7 e^4 (a+b x)^{16} (b d-a e)^2 (-8 a B e+3 A b e+5 b B d)}{16 b^9}+\frac{7 e^3 (a+b x)^{15} (b d-a e)^3 (-2 a B e+A b e+b B d)}{3 b^9}+\frac{e^2 (a+b x)^{14} (b d-a e)^4 (-8 a B e+5 A b e+3 b B d)}{2 b^9}+\frac{7 e (a+b x)^{13} (b d-a e)^5 (-4 a B e+3 A b e+b B d)}{13 b^9}+\frac{(a+b x)^{12} (b d-a e)^6 (-8 a B e+7 A b e+b B d)}{12 b^9}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^7}{11 b^9}+\frac{B e^7 (a+b x)^{19}}{19 b^9}",1,"((A*b - a*B)*(b*d - a*e)^7*(a + b*x)^11)/(11*b^9) + ((b*d - a*e)^6*(b*B*d + 7*A*b*e - 8*a*B*e)*(a + b*x)^12)/(12*b^9) + (7*e*(b*d - a*e)^5*(b*B*d + 3*A*b*e - 4*a*B*e)*(a + b*x)^13)/(13*b^9) + (e^2*(b*d - a*e)^4*(3*b*B*d + 5*A*b*e - 8*a*B*e)*(a + b*x)^14)/(2*b^9) + (7*e^3*(b*d - a*e)^3*(b*B*d + A*b*e - 2*a*B*e)*(a + b*x)^15)/(3*b^9) + (7*e^4*(b*d - a*e)^2*(5*b*B*d + 3*A*b*e - 8*a*B*e)*(a + b*x)^16)/(16*b^9) + (7*e^5*(b*d - a*e)*(3*b*B*d + A*b*e - 4*a*B*e)*(a + b*x)^17)/(17*b^9) + (e^6*(7*b*B*d + A*b*e - 8*a*B*e)*(a + b*x)^18)/(18*b^9) + (B*e^7*(a + b*x)^19)/(19*b^9)","A",2,1,20,0.05000,1,"{77}"
1082,1,290,0,1.7222673,"\int (a+b x)^{10} (A+B x) (d+e x)^6 \, dx","Int[(a + b*x)^10*(A + B*x)*(d + e*x)^6,x]","\frac{e^5 (a+b x)^{17} (-7 a B e+A b e+6 b B d)}{17 b^8}+\frac{3 e^4 (a+b x)^{16} (b d-a e) (-7 a B e+2 A b e+5 b B d)}{16 b^8}+\frac{e^3 (a+b x)^{15} (b d-a e)^2 (-7 a B e+3 A b e+4 b B d)}{3 b^8}+\frac{5 e^2 (a+b x)^{14} (b d-a e)^3 (-7 a B e+4 A b e+3 b B d)}{14 b^8}+\frac{3 e (a+b x)^{13} (b d-a e)^4 (-7 a B e+5 A b e+2 b B d)}{13 b^8}+\frac{(a+b x)^{12} (b d-a e)^5 (-7 a B e+6 A b e+b B d)}{12 b^8}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^6}{11 b^8}+\frac{B e^6 (a+b x)^{18}}{18 b^8}","\frac{e^5 (a+b x)^{17} (-7 a B e+A b e+6 b B d)}{17 b^8}+\frac{3 e^4 (a+b x)^{16} (b d-a e) (-7 a B e+2 A b e+5 b B d)}{16 b^8}+\frac{e^3 (a+b x)^{15} (b d-a e)^2 (-7 a B e+3 A b e+4 b B d)}{3 b^8}+\frac{5 e^2 (a+b x)^{14} (b d-a e)^3 (-7 a B e+4 A b e+3 b B d)}{14 b^8}+\frac{3 e (a+b x)^{13} (b d-a e)^4 (-7 a B e+5 A b e+2 b B d)}{13 b^8}+\frac{(a+b x)^{12} (b d-a e)^5 (-7 a B e+6 A b e+b B d)}{12 b^8}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^6}{11 b^8}+\frac{B e^6 (a+b x)^{18}}{18 b^8}",1,"((A*b - a*B)*(b*d - a*e)^6*(a + b*x)^11)/(11*b^8) + ((b*d - a*e)^5*(b*B*d + 6*A*b*e - 7*a*B*e)*(a + b*x)^12)/(12*b^8) + (3*e*(b*d - a*e)^4*(2*b*B*d + 5*A*b*e - 7*a*B*e)*(a + b*x)^13)/(13*b^8) + (5*e^2*(b*d - a*e)^3*(3*b*B*d + 4*A*b*e - 7*a*B*e)*(a + b*x)^14)/(14*b^8) + (e^3*(b*d - a*e)^2*(4*b*B*d + 3*A*b*e - 7*a*B*e)*(a + b*x)^15)/(3*b^8) + (3*e^4*(b*d - a*e)*(5*b*B*d + 2*A*b*e - 7*a*B*e)*(a + b*x)^16)/(16*b^8) + (e^5*(6*b*B*d + A*b*e - 7*a*B*e)*(a + b*x)^17)/(17*b^8) + (B*e^6*(a + b*x)^18)/(18*b^8)","A",2,1,20,0.05000,1,"{77}"
1083,1,243,0,1.5131448,"\int (a+b x)^{10} (A+B x) (d+e x)^5 \, dx","Int[(a + b*x)^10*(A + B*x)*(d + e*x)^5,x]","\frac{e^4 (a+b x)^{16} (-6 a B e+A b e+5 b B d)}{16 b^7}+\frac{e^3 (a+b x)^{15} (b d-a e) (-3 a B e+A b e+2 b B d)}{3 b^7}+\frac{5 e^2 (a+b x)^{14} (b d-a e)^2 (-2 a B e+A b e+b B d)}{7 b^7}+\frac{5 e (a+b x)^{13} (b d-a e)^3 (-3 a B e+2 A b e+b B d)}{13 b^7}+\frac{(a+b x)^{12} (b d-a e)^4 (-6 a B e+5 A b e+b B d)}{12 b^7}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^5}{11 b^7}+\frac{B e^5 (a+b x)^{17}}{17 b^7}","\frac{e^4 (a+b x)^{16} (-6 a B e+A b e+5 b B d)}{16 b^7}+\frac{e^3 (a+b x)^{15} (b d-a e) (-3 a B e+A b e+2 b B d)}{3 b^7}+\frac{5 e^2 (a+b x)^{14} (b d-a e)^2 (-2 a B e+A b e+b B d)}{7 b^7}+\frac{5 e (a+b x)^{13} (b d-a e)^3 (-3 a B e+2 A b e+b B d)}{13 b^7}+\frac{(a+b x)^{12} (b d-a e)^4 (-6 a B e+5 A b e+b B d)}{12 b^7}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^5}{11 b^7}+\frac{B e^5 (a+b x)^{17}}{17 b^7}",1,"((A*b - a*B)*(b*d - a*e)^5*(a + b*x)^11)/(11*b^7) + ((b*d - a*e)^4*(b*B*d + 5*A*b*e - 6*a*B*e)*(a + b*x)^12)/(12*b^7) + (5*e*(b*d - a*e)^3*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^13)/(13*b^7) + (5*e^2*(b*d - a*e)^2*(b*B*d + A*b*e - 2*a*B*e)*(a + b*x)^14)/(7*b^7) + (e^3*(b*d - a*e)*(2*b*B*d + A*b*e - 3*a*B*e)*(a + b*x)^15)/(3*b^7) + (e^4*(5*b*B*d + A*b*e - 6*a*B*e)*(a + b*x)^16)/(16*b^7) + (B*e^5*(a + b*x)^17)/(17*b^7)","A",2,1,20,0.05000,1,"{77}"
1084,1,204,0,1.1701593,"\int (a+b x)^{10} (A+B x) (d+e x)^4 \, dx","Int[(a + b*x)^10*(A + B*x)*(d + e*x)^4,x]","\frac{e^3 (a+b x)^{15} (-5 a B e+A b e+4 b B d)}{15 b^6}+\frac{e^2 (a+b x)^{14} (b d-a e) (-5 a B e+2 A b e+3 b B d)}{7 b^6}+\frac{2 e (a+b x)^{13} (b d-a e)^2 (-5 a B e+3 A b e+2 b B d)}{13 b^6}+\frac{(a+b x)^{12} (b d-a e)^3 (-5 a B e+4 A b e+b B d)}{12 b^6}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^4}{11 b^6}+\frac{B e^4 (a+b x)^{16}}{16 b^6}","\frac{e^3 (a+b x)^{15} (-5 a B e+A b e+4 b B d)}{15 b^6}+\frac{e^2 (a+b x)^{14} (b d-a e) (-5 a B e+2 A b e+3 b B d)}{7 b^6}+\frac{2 e (a+b x)^{13} (b d-a e)^2 (-5 a B e+3 A b e+2 b B d)}{13 b^6}+\frac{(a+b x)^{12} (b d-a e)^3 (-5 a B e+4 A b e+b B d)}{12 b^6}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^4}{11 b^6}+\frac{B e^4 (a+b x)^{16}}{16 b^6}",1,"((A*b - a*B)*(b*d - a*e)^4*(a + b*x)^11)/(11*b^6) + ((b*d - a*e)^3*(b*B*d + 4*A*b*e - 5*a*B*e)*(a + b*x)^12)/(12*b^6) + (2*e*(b*d - a*e)^2*(2*b*B*d + 3*A*b*e - 5*a*B*e)*(a + b*x)^13)/(13*b^6) + (e^2*(b*d - a*e)*(3*b*B*d + 2*A*b*e - 5*a*B*e)*(a + b*x)^14)/(7*b^6) + (e^3*(4*b*B*d + A*b*e - 5*a*B*e)*(a + b*x)^15)/(15*b^6) + (B*e^4*(a + b*x)^16)/(16*b^6)","A",2,1,20,0.05000,1,"{77}"
1085,1,159,0,0.8990813,"\int (a+b x)^{10} (A+B x) (d+e x)^3 \, dx","Int[(a + b*x)^10*(A + B*x)*(d + e*x)^3,x]","\frac{e^2 (a+b x)^{14} (-4 a B e+A b e+3 b B d)}{14 b^5}+\frac{3 e (a+b x)^{13} (b d-a e) (-2 a B e+A b e+b B d)}{13 b^5}+\frac{(a+b x)^{12} (b d-a e)^2 (-4 a B e+3 A b e+b B d)}{12 b^5}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^3}{11 b^5}+\frac{B e^3 (a+b x)^{15}}{15 b^5}","\frac{e^2 (a+b x)^{14} (-4 a B e+A b e+3 b B d)}{14 b^5}+\frac{3 e (a+b x)^{13} (b d-a e) (-2 a B e+A b e+b B d)}{13 b^5}+\frac{(a+b x)^{12} (b d-a e)^2 (-4 a B e+3 A b e+b B d)}{12 b^5}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^3}{11 b^5}+\frac{B e^3 (a+b x)^{15}}{15 b^5}",1,"((A*b - a*B)*(b*d - a*e)^3*(a + b*x)^11)/(11*b^5) + ((b*d - a*e)^2*(b*B*d + 3*A*b*e - 4*a*B*e)*(a + b*x)^12)/(12*b^5) + (3*e*(b*d - a*e)*(b*B*d + A*b*e - 2*a*B*e)*(a + b*x)^13)/(13*b^5) + (e^2*(3*b*B*d + A*b*e - 4*a*B*e)*(a + b*x)^14)/(14*b^5) + (B*e^3*(a + b*x)^15)/(15*b^5)","A",2,1,20,0.05000,1,"{77}"
1086,1,118,0,0.6713337,"\int (a+b x)^{10} (A+B x) (d+e x)^2 \, dx","Int[(a + b*x)^10*(A + B*x)*(d + e*x)^2,x]","\frac{e (a+b x)^{13} (-3 a B e+A b e+2 b B d)}{13 b^4}+\frac{(a+b x)^{12} (b d-a e) (-3 a B e+2 A b e+b B d)}{12 b^4}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^2}{11 b^4}+\frac{B e^2 (a+b x)^{14}}{14 b^4}","\frac{e (a+b x)^{13} (-3 a B e+A b e+2 b B d)}{13 b^4}+\frac{(a+b x)^{12} (b d-a e) (-3 a B e+2 A b e+b B d)}{12 b^4}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)^2}{11 b^4}+\frac{B e^2 (a+b x)^{14}}{14 b^4}",1,"((A*b - a*B)*(b*d - a*e)^2*(a + b*x)^11)/(11*b^4) + ((b*d - a*e)*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^12)/(12*b^4) + (e*(2*b*B*d + A*b*e - 3*a*B*e)*(a + b*x)^13)/(13*b^4) + (B*e^2*(a + b*x)^14)/(14*b^4)","A",2,1,20,0.05000,1,"{77}"
1087,1,75,0,0.4124899,"\int (a+b x)^{10} (A+B x) (d+e x) \, dx","Int[(a + b*x)^10*(A + B*x)*(d + e*x),x]","\frac{(a+b x)^{12} (-2 a B e+A b e+b B d)}{12 b^3}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)}{11 b^3}+\frac{B e (a+b x)^{13}}{13 b^3}","\frac{(a+b x)^{12} (-2 a B e+A b e+b B d)}{12 b^3}+\frac{(a+b x)^{11} (A b-a B) (b d-a e)}{11 b^3}+\frac{B e (a+b x)^{13}}{13 b^3}",1,"((A*b - a*B)*(b*d - a*e)*(a + b*x)^11)/(11*b^3) + ((b*B*d + A*b*e - 2*a*B*e)*(a + b*x)^12)/(12*b^3) + (B*e*(a + b*x)^13)/(13*b^3)","A",2,1,18,0.05556,1,"{77}"
1088,1,38,0,0.0157818,"\int (a+b x)^{10} (A+B x) \, dx","Int[(a + b*x)^10*(A + B*x),x]","\frac{(a+b x)^{11} (A b-a B)}{11 b^2}+\frac{B (a+b x)^{12}}{12 b^2}","\frac{(a+b x)^{11} (A b-a B)}{11 b^2}+\frac{B (a+b x)^{12}}{12 b^2}",1,"((A*b - a*B)*(a + b*x)^11)/(11*b^2) + (B*(a + b*x)^12)/(12*b^2)","A",2,1,13,0.07692,1,"{43}"
1089,1,348,0,0.3576063,"\int \frac{(a+b x)^{10} (A+B x)}{d+e x} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x),x]","-\frac{(a+b x)^{10} (B d-A e)}{10 e^2}+\frac{(a+b x)^9 (b d-a e) (B d-A e)}{9 e^3}-\frac{(a+b x)^8 (b d-a e)^2 (B d-A e)}{8 e^4}+\frac{(a+b x)^7 (b d-a e)^3 (B d-A e)}{7 e^5}-\frac{(a+b x)^6 (b d-a e)^4 (B d-A e)}{6 e^6}+\frac{(a+b x)^5 (b d-a e)^5 (B d-A e)}{5 e^7}-\frac{(a+b x)^4 (b d-a e)^6 (B d-A e)}{4 e^8}+\frac{(a+b x)^3 (b d-a e)^7 (B d-A e)}{3 e^9}-\frac{(a+b x)^2 (b d-a e)^8 (B d-A e)}{2 e^{10}}+\frac{b x (b d-a e)^9 (B d-A e)}{e^{11}}-\frac{(b d-a e)^{10} (B d-A e) \log (d+e x)}{e^{12}}+\frac{B (a+b x)^{11}}{11 b e}","-\frac{(a+b x)^{10} (B d-A e)}{10 e^2}+\frac{(a+b x)^9 (b d-a e) (B d-A e)}{9 e^3}-\frac{(a+b x)^8 (b d-a e)^2 (B d-A e)}{8 e^4}+\frac{(a+b x)^7 (b d-a e)^3 (B d-A e)}{7 e^5}-\frac{(a+b x)^6 (b d-a e)^4 (B d-A e)}{6 e^6}+\frac{(a+b x)^5 (b d-a e)^5 (B d-A e)}{5 e^7}-\frac{(a+b x)^4 (b d-a e)^6 (B d-A e)}{4 e^8}+\frac{(a+b x)^3 (b d-a e)^7 (B d-A e)}{3 e^9}-\frac{(a+b x)^2 (b d-a e)^8 (B d-A e)}{2 e^{10}}+\frac{b x (b d-a e)^9 (B d-A e)}{e^{11}}-\frac{(b d-a e)^{10} (B d-A e) \log (d+e x)}{e^{12}}+\frac{B (a+b x)^{11}}{11 b e}",1,"(b*(b*d - a*e)^9*(B*d - A*e)*x)/e^11 - ((b*d - a*e)^8*(B*d - A*e)*(a + b*x)^2)/(2*e^10) + ((b*d - a*e)^7*(B*d - A*e)*(a + b*x)^3)/(3*e^9) - ((b*d - a*e)^6*(B*d - A*e)*(a + b*x)^4)/(4*e^8) + ((b*d - a*e)^5*(B*d - A*e)*(a + b*x)^5)/(5*e^7) - ((b*d - a*e)^4*(B*d - A*e)*(a + b*x)^6)/(6*e^6) + ((b*d - a*e)^3*(B*d - A*e)*(a + b*x)^7)/(7*e^5) - ((b*d - a*e)^2*(B*d - A*e)*(a + b*x)^8)/(8*e^4) + ((b*d - a*e)*(B*d - A*e)*(a + b*x)^9)/(9*e^3) - ((B*d - A*e)*(a + b*x)^10)/(10*e^2) + (B*(a + b*x)^11)/(11*b*e) - ((b*d - a*e)^10*(B*d - A*e)*Log[d + e*x])/e^12","A",2,1,20,0.05000,1,"{77}"
1090,1,445,0,1.6825006,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^2} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^2,x]","\frac{15 b^2 (d+e x)^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{2 e^{12}}-\frac{10 b^3 (d+e x)^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12}}+\frac{21 b^4 (d+e x)^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{2 e^{12}}-\frac{42 b^5 (d+e x)^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{5 e^{12}}+\frac{5 b^6 (d+e x)^6 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{12}}-\frac{15 b^7 (d+e x)^7 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{7 e^{12}}+\frac{5 b^8 (d+e x)^8 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{8 e^{12}}-\frac{b^9 (d+e x)^9 (-10 a B e-A b e+11 b B d)}{9 e^{12}}+\frac{(b d-a e)^{10} (B d-A e)}{e^{12} (d+e x)}-\frac{5 b x (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{e^{11}}+\frac{(b d-a e)^9 \log (d+e x) (-a B e-10 A b e+11 b B d)}{e^{12}}+\frac{b^{10} B (d+e x)^{10}}{10 e^{12}}","\frac{15 b^2 (d+e x)^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{2 e^{12}}-\frac{10 b^3 (d+e x)^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12}}+\frac{21 b^4 (d+e x)^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{2 e^{12}}-\frac{42 b^5 (d+e x)^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{5 e^{12}}+\frac{5 b^6 (d+e x)^6 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{12}}-\frac{15 b^7 (d+e x)^7 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{7 e^{12}}+\frac{5 b^8 (d+e x)^8 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{8 e^{12}}-\frac{b^9 (d+e x)^9 (-10 a B e-A b e+11 b B d)}{9 e^{12}}+\frac{(b d-a e)^{10} (B d-A e)}{e^{12} (d+e x)}-\frac{5 b x (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{e^{11}}+\frac{(b d-a e)^9 \log (d+e x) (-a B e-10 A b e+11 b B d)}{e^{12}}+\frac{b^{10} B (d+e x)^{10}}{10 e^{12}}",1,"(-5*b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e)*x)/e^11 + ((b*d - a*e)^10*(B*d - A*e))/(e^12*(d + e*x)) + (15*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e)*(d + e*x)^2)/(2*e^12) - (10*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e)*(d + e*x)^3)/e^12 + (21*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e)*(d + e*x)^4)/(2*e^12) - (42*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e)*(d + e*x)^5)/(5*e^12) + (5*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e)*(d + e*x)^6)/e^12 - (15*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e)*(d + e*x)^7)/(7*e^12) + (5*b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e)*(d + e*x)^8)/(8*e^12) - (b^9*(11*b*B*d - A*b*e - 10*a*B*e)*(d + e*x)^9)/(9*e^12) + (b^10*B*(d + e*x)^10)/(10*e^12) + ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e)*Log[d + e*x])/e^12","A",2,1,20,0.05000,1,"{77}"
1091,1,445,0,1.4881147,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^3} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^3,x]","-\frac{b^9 (d+e x)^8 (-10 a B e-A b e+11 b B d)}{8 e^{12}}+\frac{5 b^8 (d+e x)^7 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{7 e^{12}}-\frac{5 b^7 (d+e x)^6 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{2 e^{12}}+\frac{6 b^6 (d+e x)^5 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{12}}-\frac{21 b^5 (d+e x)^4 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{2 e^{12}}+\frac{14 b^4 (d+e x)^3 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{e^{12}}-\frac{15 b^3 (d+e x)^2 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12}}+\frac{15 b^2 x (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{e^{11}}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{e^{12} (d+e x)}+\frac{(b d-a e)^{10} (B d-A e)}{2 e^{12} (d+e x)^2}-\frac{5 b (b d-a e)^8 \log (d+e x) (-2 a B e-9 A b e+11 b B d)}{e^{12}}+\frac{b^{10} B (d+e x)^9}{9 e^{12}}","-\frac{b^9 (d+e x)^8 (-10 a B e-A b e+11 b B d)}{8 e^{12}}+\frac{5 b^8 (d+e x)^7 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{7 e^{12}}-\frac{5 b^7 (d+e x)^6 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{2 e^{12}}+\frac{6 b^6 (d+e x)^5 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{12}}-\frac{21 b^5 (d+e x)^4 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{2 e^{12}}+\frac{14 b^4 (d+e x)^3 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{e^{12}}-\frac{15 b^3 (d+e x)^2 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12}}+\frac{15 b^2 x (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{e^{11}}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{e^{12} (d+e x)}+\frac{(b d-a e)^{10} (B d-A e)}{2 e^{12} (d+e x)^2}-\frac{5 b (b d-a e)^8 \log (d+e x) (-2 a B e-9 A b e+11 b B d)}{e^{12}}+\frac{b^{10} B (d+e x)^9}{9 e^{12}}",1,"(15*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e)*x)/e^11 + ((b*d - a*e)^10*(B*d - A*e))/(2*e^12*(d + e*x)^2) - ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e))/(e^12*(d + e*x)) - (15*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e)*(d + e*x)^2)/e^12 + (14*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e)*(d + e*x)^3)/e^12 - (21*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e)*(d + e*x)^4)/(2*e^12) + (6*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e)*(d + e*x)^5)/e^12 - (5*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e)*(d + e*x)^6)/(2*e^12) + (5*b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e)*(d + e*x)^7)/(7*e^12) - (b^9*(11*b*B*d - A*b*e - 10*a*B*e)*(d + e*x)^8)/(8*e^12) + (b^10*B*(d + e*x)^9)/(9*e^12) - (5*b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e)*Log[d + e*x])/e^12","A",2,1,20,0.05000,1,"{77}"
1092,1,445,0,1.3880446,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^4} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^4,x]","-\frac{b^9 (d+e x)^7 (-10 a B e-A b e+11 b B d)}{7 e^{12}}+\frac{5 b^8 (d+e x)^6 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{6 e^{12}}-\frac{3 b^7 (d+e x)^5 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{e^{12}}+\frac{15 b^6 (d+e x)^4 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{2 e^{12}}-\frac{14 b^5 (d+e x)^3 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{e^{12}}+\frac{21 b^4 (d+e x)^2 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{e^{12}}-\frac{30 b^3 x (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{11}}+\frac{15 b^2 (b d-a e)^7 \log (d+e x) (-3 a B e-8 A b e+11 b B d)}{e^{12}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{e^{12} (d+e x)}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{2 e^{12} (d+e x)^2}+\frac{(b d-a e)^{10} (B d-A e)}{3 e^{12} (d+e x)^3}+\frac{b^{10} B (d+e x)^8}{8 e^{12}}","-\frac{b^9 (d+e x)^7 (-10 a B e-A b e+11 b B d)}{7 e^{12}}+\frac{5 b^8 (d+e x)^6 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{6 e^{12}}-\frac{3 b^7 (d+e x)^5 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{e^{12}}+\frac{15 b^6 (d+e x)^4 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{2 e^{12}}-\frac{14 b^5 (d+e x)^3 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{e^{12}}+\frac{21 b^4 (d+e x)^2 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{e^{12}}-\frac{30 b^3 x (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{11}}+\frac{15 b^2 (b d-a e)^7 \log (d+e x) (-3 a B e-8 A b e+11 b B d)}{e^{12}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{e^{12} (d+e x)}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{2 e^{12} (d+e x)^2}+\frac{(b d-a e)^{10} (B d-A e)}{3 e^{12} (d+e x)^3}+\frac{b^{10} B (d+e x)^8}{8 e^{12}}",1,"(-30*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e)*x)/e^11 + ((b*d - a*e)^10*(B*d - A*e))/(3*e^12*(d + e*x)^3) - ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e))/(2*e^12*(d + e*x)^2) + (5*b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e))/(e^12*(d + e*x)) + (21*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e)*(d + e*x)^2)/e^12 - (14*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e)*(d + e*x)^3)/e^12 + (15*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e)*(d + e*x)^4)/(2*e^12) - (3*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e)*(d + e*x)^5)/e^12 + (5*b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e)*(d + e*x)^6)/(6*e^12) - (b^9*(11*b*B*d - A*b*e - 10*a*B*e)*(d + e*x)^7)/(7*e^12) + (b^10*B*(d + e*x)^8)/(8*e^12) + (15*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e)*Log[d + e*x])/e^12","A",2,1,20,0.05000,1,"{77}"
1093,1,444,0,1.3221458,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^5} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^5,x]","-\frac{b^9 (d+e x)^6 (-10 a B e-A b e+11 b B d)}{6 e^{12}}+\frac{b^8 (d+e x)^5 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{e^{12}}-\frac{15 b^7 (d+e x)^4 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{4 e^{12}}+\frac{10 b^6 (d+e x)^3 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{12}}-\frac{21 b^5 (d+e x)^2 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{e^{12}}+\frac{42 b^4 x (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{e^{11}}-\frac{15 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{e^{12} (d+e x)}-\frac{30 b^3 (b d-a e)^6 \log (d+e x) (-4 a B e-7 A b e+11 b B d)}{e^{12}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{2 e^{12} (d+e x)^2}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{3 e^{12} (d+e x)^3}+\frac{(b d-a e)^{10} (B d-A e)}{4 e^{12} (d+e x)^4}+\frac{b^{10} B (d+e x)^7}{7 e^{12}}","-\frac{b^9 (d+e x)^6 (-10 a B e-A b e+11 b B d)}{6 e^{12}}+\frac{b^8 (d+e x)^5 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{e^{12}}-\frac{15 b^7 (d+e x)^4 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{4 e^{12}}+\frac{10 b^6 (d+e x)^3 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{12}}-\frac{21 b^5 (d+e x)^2 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{e^{12}}+\frac{42 b^4 x (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{e^{11}}-\frac{15 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{e^{12} (d+e x)}-\frac{30 b^3 (b d-a e)^6 \log (d+e x) (-4 a B e-7 A b e+11 b B d)}{e^{12}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{2 e^{12} (d+e x)^2}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{3 e^{12} (d+e x)^3}+\frac{(b d-a e)^{10} (B d-A e)}{4 e^{12} (d+e x)^4}+\frac{b^{10} B (d+e x)^7}{7 e^{12}}",1,"(42*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e)*x)/e^11 + ((b*d - a*e)^10*(B*d - A*e))/(4*e^12*(d + e*x)^4) - ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e))/(3*e^12*(d + e*x)^3) + (5*b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e))/(2*e^12*(d + e*x)^2) - (15*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e))/(e^12*(d + e*x)) - (21*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e)*(d + e*x)^2)/e^12 + (10*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e)*(d + e*x)^3)/e^12 - (15*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e)*(d + e*x)^4)/(4*e^12) + (b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e)*(d + e*x)^5)/e^12 - (b^9*(11*b*B*d - A*b*e - 10*a*B*e)*(d + e*x)^6)/(6*e^12) + (b^10*B*(d + e*x)^7)/(7*e^12) - (30*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e)*Log[d + e*x])/e^12","A",2,1,20,0.05000,1,"{77}"
1094,1,447,0,1.2536232,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^6} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^6,x]","-\frac{b^9 (d+e x)^5 (-10 a B e-A b e+11 b B d)}{5 e^{12}}+\frac{5 b^8 (d+e x)^4 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{4 e^{12}}-\frac{5 b^7 (d+e x)^3 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{e^{12}}+\frac{15 b^6 (d+e x)^2 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{12}}-\frac{42 b^5 x (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{e^{11}}+\frac{30 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12} (d+e x)}-\frac{15 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{2 e^{12} (d+e x)^2}+\frac{42 b^4 (b d-a e)^5 \log (d+e x) (-5 a B e-6 A b e+11 b B d)}{e^{12}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{3 e^{12} (d+e x)^3}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{4 e^{12} (d+e x)^4}+\frac{(b d-a e)^{10} (B d-A e)}{5 e^{12} (d+e x)^5}+\frac{b^{10} B (d+e x)^6}{6 e^{12}}","-\frac{b^9 (d+e x)^5 (-10 a B e-A b e+11 b B d)}{5 e^{12}}+\frac{5 b^8 (d+e x)^4 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{4 e^{12}}-\frac{5 b^7 (d+e x)^3 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{e^{12}}+\frac{15 b^6 (d+e x)^2 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{12}}-\frac{42 b^5 x (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{e^{11}}+\frac{30 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12} (d+e x)}-\frac{15 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{2 e^{12} (d+e x)^2}+\frac{42 b^4 (b d-a e)^5 \log (d+e x) (-5 a B e-6 A b e+11 b B d)}{e^{12}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{3 e^{12} (d+e x)^3}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{4 e^{12} (d+e x)^4}+\frac{(b d-a e)^{10} (B d-A e)}{5 e^{12} (d+e x)^5}+\frac{b^{10} B (d+e x)^6}{6 e^{12}}",1,"(-42*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e)*x)/e^11 + ((b*d - a*e)^10*(B*d - A*e))/(5*e^12*(d + e*x)^5) - ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e))/(4*e^12*(d + e*x)^4) + (5*b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e))/(3*e^12*(d + e*x)^3) - (15*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e))/(2*e^12*(d + e*x)^2) + (30*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e))/(e^12*(d + e*x)) + (15*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e)*(d + e*x)^2)/e^12 - (5*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e)*(d + e*x)^3)/e^12 + (5*b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e)*(d + e*x)^4)/(4*e^12) - (b^9*(11*b*B*d - A*b*e - 10*a*B*e)*(d + e*x)^5)/(5*e^12) + (b^10*B*(d + e*x)^6)/(6*e^12) + (42*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e)*Log[d + e*x])/e^12","A",2,1,20,0.05000,1,"{77}"
1095,1,447,0,1.1588058,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^7} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^7,x]","-\frac{b^9 (d+e x)^4 (-10 a B e-A b e+11 b B d)}{4 e^{12}}+\frac{5 b^8 (d+e x)^3 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{3 e^{12}}-\frac{15 b^7 (d+e x)^2 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{2 e^{12}}+\frac{30 b^6 x (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{11}}-\frac{42 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{e^{12} (d+e x)}+\frac{15 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12} (d+e x)^2}-\frac{5 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{e^{12} (d+e x)^3}-\frac{42 b^5 (b d-a e)^4 \log (d+e x) (-6 a B e-5 A b e+11 b B d)}{e^{12}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{4 e^{12} (d+e x)^4}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{5 e^{12} (d+e x)^5}+\frac{(b d-a e)^{10} (B d-A e)}{6 e^{12} (d+e x)^6}+\frac{b^{10} B (d+e x)^5}{5 e^{12}}","-\frac{b^9 (d+e x)^4 (-10 a B e-A b e+11 b B d)}{4 e^{12}}+\frac{5 b^8 (d+e x)^3 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{3 e^{12}}-\frac{15 b^7 (d+e x)^2 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{2 e^{12}}+\frac{30 b^6 x (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{11}}-\frac{42 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{e^{12} (d+e x)}+\frac{15 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12} (d+e x)^2}-\frac{5 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{e^{12} (d+e x)^3}-\frac{42 b^5 (b d-a e)^4 \log (d+e x) (-6 a B e-5 A b e+11 b B d)}{e^{12}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{4 e^{12} (d+e x)^4}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{5 e^{12} (d+e x)^5}+\frac{(b d-a e)^{10} (B d-A e)}{6 e^{12} (d+e x)^6}+\frac{b^{10} B (d+e x)^5}{5 e^{12}}",1,"(30*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e)*x)/e^11 + ((b*d - a*e)^10*(B*d - A*e))/(6*e^12*(d + e*x)^6) - ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e))/(5*e^12*(d + e*x)^5) + (5*b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e))/(4*e^12*(d + e*x)^4) - (5*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e))/(e^12*(d + e*x)^3) + (15*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e))/(e^12*(d + e*x)^2) - (42*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e))/(e^12*(d + e*x)) - (15*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e)*(d + e*x)^2)/(2*e^12) + (5*b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e)*(d + e*x)^3)/(3*e^12) - (b^9*(11*b*B*d - A*b*e - 10*a*B*e)*(d + e*x)^4)/(4*e^12) + (b^10*B*(d + e*x)^5)/(5*e^12) - (42*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e)*Log[d + e*x])/e^12","A",2,1,20,0.05000,1,"{77}"
1096,1,444,0,1.0941401,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^8} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^8,x]","-\frac{b^9 (d+e x)^3 (-10 a B e-A b e+11 b B d)}{3 e^{12}}+\frac{5 b^8 (d+e x)^2 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{2 e^{12}}-\frac{15 b^7 x (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{e^{11}}+\frac{42 b^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{e^{12} (d+e x)}-\frac{21 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{e^{12} (d+e x)^2}+\frac{10 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12} (d+e x)^3}-\frac{15 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{4 e^{12} (d+e x)^4}+\frac{30 b^6 (b d-a e)^3 \log (d+e x) (-7 a B e-4 A b e+11 b B d)}{e^{12}}+\frac{b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{e^{12} (d+e x)^5}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{6 e^{12} (d+e x)^6}+\frac{(b d-a e)^{10} (B d-A e)}{7 e^{12} (d+e x)^7}+\frac{b^{10} B (d+e x)^4}{4 e^{12}}","-\frac{b^9 (d+e x)^3 (-10 a B e-A b e+11 b B d)}{3 e^{12}}+\frac{5 b^8 (d+e x)^2 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{2 e^{12}}-\frac{15 b^7 x (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{e^{11}}+\frac{42 b^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{e^{12} (d+e x)}-\frac{21 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{e^{12} (d+e x)^2}+\frac{10 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12} (d+e x)^3}-\frac{15 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{4 e^{12} (d+e x)^4}+\frac{30 b^6 (b d-a e)^3 \log (d+e x) (-7 a B e-4 A b e+11 b B d)}{e^{12}}+\frac{b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{e^{12} (d+e x)^5}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{6 e^{12} (d+e x)^6}+\frac{(b d-a e)^{10} (B d-A e)}{7 e^{12} (d+e x)^7}+\frac{b^{10} B (d+e x)^4}{4 e^{12}}",1,"(-15*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e)*x)/e^11 + ((b*d - a*e)^10*(B*d - A*e))/(7*e^12*(d + e*x)^7) - ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e))/(6*e^12*(d + e*x)^6) + (b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e))/(e^12*(d + e*x)^5) - (15*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e))/(4*e^12*(d + e*x)^4) + (10*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e))/(e^12*(d + e*x)^3) - (21*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e))/(e^12*(d + e*x)^2) + (42*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e))/(e^12*(d + e*x)) + (5*b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e)*(d + e*x)^2)/(2*e^12) - (b^9*(11*b*B*d - A*b*e - 10*a*B*e)*(d + e*x)^3)/(3*e^12) + (b^10*B*(d + e*x)^4)/(4*e^12) + (30*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e)*Log[d + e*x])/e^12","A",2,1,20,0.05000,1,"{77}"
1097,1,445,0,0.9678817,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^9} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^9,x]","-\frac{b^9 (d+e x)^2 (-10 a B e-A b e+11 b B d)}{2 e^{12}}+\frac{5 b^8 x (b d-a e) (-9 a B e-2 A b e+11 b B d)}{e^{11}}-\frac{30 b^6 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{12} (d+e x)}+\frac{21 b^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{e^{12} (d+e x)^2}-\frac{14 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{e^{12} (d+e x)^3}+\frac{15 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{2 e^{12} (d+e x)^4}-\frac{3 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{e^{12} (d+e x)^5}-\frac{15 b^7 (b d-a e)^2 \log (d+e x) (-8 a B e-3 A b e+11 b B d)}{e^{12}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{6 e^{12} (d+e x)^6}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{7 e^{12} (d+e x)^7}+\frac{(b d-a e)^{10} (B d-A e)}{8 e^{12} (d+e x)^8}+\frac{b^{10} B (d+e x)^3}{3 e^{12}}","-\frac{b^9 (d+e x)^2 (-10 a B e-A b e+11 b B d)}{2 e^{12}}+\frac{5 b^8 x (b d-a e) (-9 a B e-2 A b e+11 b B d)}{e^{11}}-\frac{30 b^6 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{12} (d+e x)}+\frac{21 b^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{e^{12} (d+e x)^2}-\frac{14 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{e^{12} (d+e x)^3}+\frac{15 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{2 e^{12} (d+e x)^4}-\frac{3 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{e^{12} (d+e x)^5}-\frac{15 b^7 (b d-a e)^2 \log (d+e x) (-8 a B e-3 A b e+11 b B d)}{e^{12}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{6 e^{12} (d+e x)^6}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{7 e^{12} (d+e x)^7}+\frac{(b d-a e)^{10} (B d-A e)}{8 e^{12} (d+e x)^8}+\frac{b^{10} B (d+e x)^3}{3 e^{12}}",1,"(5*b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e)*x)/e^11 + ((b*d - a*e)^10*(B*d - A*e))/(8*e^12*(d + e*x)^8) - ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e))/(7*e^12*(d + e*x)^7) + (5*b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e))/(6*e^12*(d + e*x)^6) - (3*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e))/(e^12*(d + e*x)^5) + (15*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e))/(2*e^12*(d + e*x)^4) - (14*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e))/(e^12*(d + e*x)^3) + (21*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e))/(e^12*(d + e*x)^2) - (30*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e))/(e^12*(d + e*x)) - (b^9*(11*b*B*d - A*b*e - 10*a*B*e)*(d + e*x)^2)/(2*e^12) + (b^10*B*(d + e*x)^3)/(3*e^12) - (15*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e)*Log[d + e*x])/e^12","A",2,1,20,0.05000,1,"{77}"
1098,1,441,0,0.8902864,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^{10}} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^10,x]","-\frac{b^9 x (-10 a B e-A b e+10 b B d)}{e^{11}}+\frac{15 b^7 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{e^{12} (d+e x)}-\frac{15 b^6 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{12} (d+e x)^2}+\frac{14 b^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{e^{12} (d+e x)^3}-\frac{21 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{2 e^{12} (d+e x)^4}+\frac{6 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12} (d+e x)^5}-\frac{5 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{2 e^{12} (d+e x)^6}+\frac{5 b^8 (b d-a e) \log (d+e x) (-9 a B e-2 A b e+11 b B d)}{e^{12}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{7 e^{12} (d+e x)^7}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{8 e^{12} (d+e x)^8}+\frac{(b d-a e)^{10} (B d-A e)}{9 e^{12} (d+e x)^9}+\frac{b^{10} B x^2}{2 e^{10}}","-\frac{b^9 x (-10 a B e-A b e+10 b B d)}{e^{11}}+\frac{15 b^7 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{e^{12} (d+e x)}-\frac{15 b^6 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{12} (d+e x)^2}+\frac{14 b^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{e^{12} (d+e x)^3}-\frac{21 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{2 e^{12} (d+e x)^4}+\frac{6 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12} (d+e x)^5}-\frac{5 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{2 e^{12} (d+e x)^6}+\frac{5 b^8 (b d-a e) \log (d+e x) (-9 a B e-2 A b e+11 b B d)}{e^{12}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{7 e^{12} (d+e x)^7}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{8 e^{12} (d+e x)^8}+\frac{(b d-a e)^{10} (B d-A e)}{9 e^{12} (d+e x)^9}+\frac{b^{10} B x^2}{2 e^{10}}",1,"-((b^9*(10*b*B*d - A*b*e - 10*a*B*e)*x)/e^11) + (b^10*B*x^2)/(2*e^10) + ((b*d - a*e)^10*(B*d - A*e))/(9*e^12*(d + e*x)^9) - ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e))/(8*e^12*(d + e*x)^8) + (5*b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e))/(7*e^12*(d + e*x)^7) - (5*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e))/(2*e^12*(d + e*x)^6) + (6*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e))/(e^12*(d + e*x)^5) - (21*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e))/(2*e^12*(d + e*x)^4) + (14*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e))/(e^12*(d + e*x)^3) - (15*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e))/(e^12*(d + e*x)^2) + (15*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e))/(e^12*(d + e*x)) + (5*b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e)*Log[d + e*x])/e^12","A",2,1,20,0.05000,1,"{77}"
1099,1,446,0,0.7953578,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^{11}} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^11,x]","-\frac{5 b^8 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{e^{12} (d+e x)}+\frac{15 b^7 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{2 e^{12} (d+e x)^2}-\frac{10 b^6 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{12} (d+e x)^3}+\frac{21 b^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{2 e^{12} (d+e x)^4}-\frac{42 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{5 e^{12} (d+e x)^5}+\frac{5 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12} (d+e x)^6}-\frac{15 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{7 e^{12} (d+e x)^7}-\frac{b^9 \log (d+e x) (-10 a B e-A b e+11 b B d)}{e^{12}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{8 e^{12} (d+e x)^8}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{9 e^{12} (d+e x)^9}+\frac{(b d-a e)^{10} (B d-A e)}{10 e^{12} (d+e x)^{10}}+\frac{b^{10} B x}{e^{11}}","-\frac{5 b^8 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{e^{12} (d+e x)}+\frac{15 b^7 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{2 e^{12} (d+e x)^2}-\frac{10 b^6 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{e^{12} (d+e x)^3}+\frac{21 b^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{2 e^{12} (d+e x)^4}-\frac{42 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{5 e^{12} (d+e x)^5}+\frac{5 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12} (d+e x)^6}-\frac{15 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{7 e^{12} (d+e x)^7}-\frac{b^9 \log (d+e x) (-10 a B e-A b e+11 b B d)}{e^{12}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{8 e^{12} (d+e x)^8}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{9 e^{12} (d+e x)^9}+\frac{(b d-a e)^{10} (B d-A e)}{10 e^{12} (d+e x)^{10}}+\frac{b^{10} B x}{e^{11}}",1,"(b^10*B*x)/e^11 + ((b*d - a*e)^10*(B*d - A*e))/(10*e^12*(d + e*x)^10) - ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e))/(9*e^12*(d + e*x)^9) + (5*b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e))/(8*e^12*(d + e*x)^8) - (15*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e))/(7*e^12*(d + e*x)^7) + (5*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e))/(e^12*(d + e*x)^6) - (42*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e))/(5*e^12*(d + e*x)^5) + (21*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e))/(2*e^12*(d + e*x)^4) - (10*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e))/(e^12*(d + e*x)^3) + (15*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e))/(2*e^12*(d + e*x)^2) - (5*b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e))/(e^12*(d + e*x)) - (b^9*(11*b*B*d - A*b*e - 10*a*B*e)*Log[d + e*x])/e^12","A",2,1,20,0.05000,1,"{77}"
1100,1,321,0,0.5764891,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^{12}} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^12,x]","-\frac{(a+b x)^{11} (B d-A e)}{11 e (d+e x)^{11} (b d-a e)}+\frac{10 b^9 B (b d-a e)}{e^{12} (d+e x)}-\frac{45 b^8 B (b d-a e)^2}{2 e^{12} (d+e x)^2}+\frac{40 b^7 B (b d-a e)^3}{e^{12} (d+e x)^3}-\frac{105 b^6 B (b d-a e)^4}{2 e^{12} (d+e x)^4}+\frac{252 b^5 B (b d-a e)^5}{5 e^{12} (d+e x)^5}-\frac{35 b^4 B (b d-a e)^6}{e^{12} (d+e x)^6}+\frac{120 b^3 B (b d-a e)^7}{7 e^{12} (d+e x)^7}-\frac{45 b^2 B (b d-a e)^8}{8 e^{12} (d+e x)^8}+\frac{10 b B (b d-a e)^9}{9 e^{12} (d+e x)^9}-\frac{B (b d-a e)^{10}}{10 e^{12} (d+e x)^{10}}+\frac{b^{10} B \log (d+e x)}{e^{12}}","-\frac{(a+b x)^{11} (B d-A e)}{11 e (d+e x)^{11} (b d-a e)}+\frac{10 b^9 B (b d-a e)}{e^{12} (d+e x)}-\frac{45 b^8 B (b d-a e)^2}{2 e^{12} (d+e x)^2}+\frac{40 b^7 B (b d-a e)^3}{e^{12} (d+e x)^3}-\frac{105 b^6 B (b d-a e)^4}{2 e^{12} (d+e x)^4}+\frac{252 b^5 B (b d-a e)^5}{5 e^{12} (d+e x)^5}-\frac{35 b^4 B (b d-a e)^6}{e^{12} (d+e x)^6}+\frac{120 b^3 B (b d-a e)^7}{7 e^{12} (d+e x)^7}-\frac{45 b^2 B (b d-a e)^8}{8 e^{12} (d+e x)^8}+\frac{10 b B (b d-a e)^9}{9 e^{12} (d+e x)^9}-\frac{B (b d-a e)^{10}}{10 e^{12} (d+e x)^{10}}+\frac{b^{10} B \log (d+e x)}{e^{12}}",1,"-((B*d - A*e)*(a + b*x)^11)/(11*e*(b*d - a*e)*(d + e*x)^11) - (B*(b*d - a*e)^10)/(10*e^12*(d + e*x)^10) + (10*b*B*(b*d - a*e)^9)/(9*e^12*(d + e*x)^9) - (45*b^2*B*(b*d - a*e)^8)/(8*e^12*(d + e*x)^8) + (120*b^3*B*(b*d - a*e)^7)/(7*e^12*(d + e*x)^7) - (35*b^4*B*(b*d - a*e)^6)/(e^12*(d + e*x)^6) + (252*b^5*B*(b*d - a*e)^5)/(5*e^12*(d + e*x)^5) - (105*b^6*B*(b*d - a*e)^4)/(2*e^12*(d + e*x)^4) + (40*b^7*B*(b*d - a*e)^3)/(e^12*(d + e*x)^3) - (45*b^8*B*(b*d - a*e)^2)/(2*e^12*(d + e*x)^2) + (10*b^9*B*(b*d - a*e))/(e^12*(d + e*x)) + (b^10*B*Log[d + e*x])/e^12","A",3,2,20,0.1000,1,"{78, 43}"
1101,1,86,0,0.0319486,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^{13}} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^13,x]","\frac{(a+b x)^{11} (-12 a B e+A b e+11 b B d)}{132 e (d+e x)^{11} (b d-a e)^2}-\frac{(a+b x)^{11} (B d-A e)}{12 e (d+e x)^{12} (b d-a e)}","\frac{(a+b x)^{11} (-12 a B e+A b e+11 b B d)}{132 e (d+e x)^{11} (b d-a e)^2}-\frac{(a+b x)^{11} (B d-A e)}{12 e (d+e x)^{12} (b d-a e)}",1,"-((B*d - A*e)*(a + b*x)^11)/(12*e*(b*d - a*e)*(d + e*x)^12) + ((11*b*B*d + A*b*e - 12*a*B*e)*(a + b*x)^11)/(132*e*(b*d - a*e)^2*(d + e*x)^11)","A",2,2,20,0.1000,1,"{78, 37}"
1102,1,135,0,0.0582722,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^{14}} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^14,x]","\frac{b (a+b x)^{11} (-13 a B e+2 A b e+11 b B d)}{1716 e (d+e x)^{11} (b d-a e)^3}+\frac{(a+b x)^{11} (-13 a B e+2 A b e+11 b B d)}{156 e (d+e x)^{12} (b d-a e)^2}-\frac{(a+b x)^{11} (B d-A e)}{13 e (d+e x)^{13} (b d-a e)}","\frac{b (a+b x)^{11} (-13 a B e+2 A b e+11 b B d)}{1716 e (d+e x)^{11} (b d-a e)^3}+\frac{(a+b x)^{11} (-13 a B e+2 A b e+11 b B d)}{156 e (d+e x)^{12} (b d-a e)^2}-\frac{(a+b x)^{11} (B d-A e)}{13 e (d+e x)^{13} (b d-a e)}",1,"-((B*d - A*e)*(a + b*x)^11)/(13*e*(b*d - a*e)*(d + e*x)^13) + ((11*b*B*d + 2*A*b*e - 13*a*B*e)*(a + b*x)^11)/(156*e*(b*d - a*e)^2*(d + e*x)^12) + (b*(11*b*B*d + 2*A*b*e - 13*a*B*e)*(a + b*x)^11)/(1716*e*(b*d - a*e)^3*(d + e*x)^11)","A",3,3,20,0.1500,1,"{78, 45, 37}"
1103,1,185,0,0.0850289,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^{15}} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^15,x]","\frac{b^2 (a+b x)^{11} (-14 a B e+3 A b e+11 b B d)}{12012 e (d+e x)^{11} (b d-a e)^4}+\frac{b (a+b x)^{11} (-14 a B e+3 A b e+11 b B d)}{1092 e (d+e x)^{12} (b d-a e)^3}+\frac{(a+b x)^{11} (-14 a B e+3 A b e+11 b B d)}{182 e (d+e x)^{13} (b d-a e)^2}-\frac{(a+b x)^{11} (B d-A e)}{14 e (d+e x)^{14} (b d-a e)}","\frac{b^2 (a+b x)^{11} (-14 a B e+3 A b e+11 b B d)}{12012 e (d+e x)^{11} (b d-a e)^4}+\frac{b (a+b x)^{11} (-14 a B e+3 A b e+11 b B d)}{1092 e (d+e x)^{12} (b d-a e)^3}+\frac{(a+b x)^{11} (-14 a B e+3 A b e+11 b B d)}{182 e (d+e x)^{13} (b d-a e)^2}-\frac{(a+b x)^{11} (B d-A e)}{14 e (d+e x)^{14} (b d-a e)}",1,"-((B*d - A*e)*(a + b*x)^11)/(14*e*(b*d - a*e)*(d + e*x)^14) + ((11*b*B*d + 3*A*b*e - 14*a*B*e)*(a + b*x)^11)/(182*e*(b*d - a*e)^2*(d + e*x)^13) + (b*(11*b*B*d + 3*A*b*e - 14*a*B*e)*(a + b*x)^11)/(1092*e*(b*d - a*e)^3*(d + e*x)^12) + (b^2*(11*b*B*d + 3*A*b*e - 14*a*B*e)*(a + b*x)^11)/(12012*e*(b*d - a*e)^4*(d + e*x)^11)","A",4,3,20,0.1500,1,"{78, 45, 37}"
1104,1,235,0,0.1091095,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^{16}} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^16,x]","\frac{b^3 (a+b x)^{11} (-15 a B e+4 A b e+11 b B d)}{60060 e (d+e x)^{11} (b d-a e)^5}+\frac{b^2 (a+b x)^{11} (-15 a B e+4 A b e+11 b B d)}{5460 e (d+e x)^{12} (b d-a e)^4}+\frac{b (a+b x)^{11} (-15 a B e+4 A b e+11 b B d)}{910 e (d+e x)^{13} (b d-a e)^3}+\frac{(a+b x)^{11} (-15 a B e+4 A b e+11 b B d)}{210 e (d+e x)^{14} (b d-a e)^2}-\frac{(a+b x)^{11} (B d-A e)}{15 e (d+e x)^{15} (b d-a e)}","\frac{b^3 (a+b x)^{11} (-15 a B e+4 A b e+11 b B d)}{60060 e (d+e x)^{11} (b d-a e)^5}+\frac{b^2 (a+b x)^{11} (-15 a B e+4 A b e+11 b B d)}{5460 e (d+e x)^{12} (b d-a e)^4}+\frac{b (a+b x)^{11} (-15 a B e+4 A b e+11 b B d)}{910 e (d+e x)^{13} (b d-a e)^3}+\frac{(a+b x)^{11} (-15 a B e+4 A b e+11 b B d)}{210 e (d+e x)^{14} (b d-a e)^2}-\frac{(a+b x)^{11} (B d-A e)}{15 e (d+e x)^{15} (b d-a e)}",1,"-((B*d - A*e)*(a + b*x)^11)/(15*e*(b*d - a*e)*(d + e*x)^15) + ((11*b*B*d + 4*A*b*e - 15*a*B*e)*(a + b*x)^11)/(210*e*(b*d - a*e)^2*(d + e*x)^14) + (b*(11*b*B*d + 4*A*b*e - 15*a*B*e)*(a + b*x)^11)/(910*e*(b*d - a*e)^3*(d + e*x)^13) + (b^2*(11*b*B*d + 4*A*b*e - 15*a*B*e)*(a + b*x)^11)/(5460*e*(b*d - a*e)^4*(d + e*x)^12) + (b^3*(11*b*B*d + 4*A*b*e - 15*a*B*e)*(a + b*x)^11)/(60060*e*(b*d - a*e)^5*(d + e*x)^11)","A",5,3,20,0.1500,1,"{78, 45, 37}"
1105,1,285,0,0.1500533,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^{17}} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^17,x]","\frac{b^4 (a+b x)^{11} (-16 a B e+5 A b e+11 b B d)}{240240 e (d+e x)^{11} (b d-a e)^6}+\frac{b^3 (a+b x)^{11} (-16 a B e+5 A b e+11 b B d)}{21840 e (d+e x)^{12} (b d-a e)^5}+\frac{b^2 (a+b x)^{11} (-16 a B e+5 A b e+11 b B d)}{3640 e (d+e x)^{13} (b d-a e)^4}+\frac{b (a+b x)^{11} (-16 a B e+5 A b e+11 b B d)}{840 e (d+e x)^{14} (b d-a e)^3}+\frac{(a+b x)^{11} (-16 a B e+5 A b e+11 b B d)}{240 e (d+e x)^{15} (b d-a e)^2}-\frac{(a+b x)^{11} (B d-A e)}{16 e (d+e x)^{16} (b d-a e)}","\frac{b^4 (a+b x)^{11} (-16 a B e+5 A b e+11 b B d)}{240240 e (d+e x)^{11} (b d-a e)^6}+\frac{b^3 (a+b x)^{11} (-16 a B e+5 A b e+11 b B d)}{21840 e (d+e x)^{12} (b d-a e)^5}+\frac{b^2 (a+b x)^{11} (-16 a B e+5 A b e+11 b B d)}{3640 e (d+e x)^{13} (b d-a e)^4}+\frac{b (a+b x)^{11} (-16 a B e+5 A b e+11 b B d)}{840 e (d+e x)^{14} (b d-a e)^3}+\frac{(a+b x)^{11} (-16 a B e+5 A b e+11 b B d)}{240 e (d+e x)^{15} (b d-a e)^2}-\frac{(a+b x)^{11} (B d-A e)}{16 e (d+e x)^{16} (b d-a e)}",1,"-((B*d - A*e)*(a + b*x)^11)/(16*e*(b*d - a*e)*(d + e*x)^16) + ((11*b*B*d + 5*A*b*e - 16*a*B*e)*(a + b*x)^11)/(240*e*(b*d - a*e)^2*(d + e*x)^15) + (b*(11*b*B*d + 5*A*b*e - 16*a*B*e)*(a + b*x)^11)/(840*e*(b*d - a*e)^3*(d + e*x)^14) + (b^2*(11*b*B*d + 5*A*b*e - 16*a*B*e)*(a + b*x)^11)/(3640*e*(b*d - a*e)^4*(d + e*x)^13) + (b^3*(11*b*B*d + 5*A*b*e - 16*a*B*e)*(a + b*x)^11)/(21840*e*(b*d - a*e)^5*(d + e*x)^12) + (b^4*(11*b*B*d + 5*A*b*e - 16*a*B*e)*(a + b*x)^11)/(240240*e*(b*d - a*e)^6*(d + e*x)^11)","A",6,3,20,0.1500,1,"{78, 45, 37}"
1106,1,335,0,0.1826009,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^{18}} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^18,x]","\frac{b^5 (a+b x)^{11} (-17 a B e+6 A b e+11 b B d)}{816816 e (d+e x)^{11} (b d-a e)^7}+\frac{b^4 (a+b x)^{11} (-17 a B e+6 A b e+11 b B d)}{74256 e (d+e x)^{12} (b d-a e)^6}+\frac{b^3 (a+b x)^{11} (-17 a B e+6 A b e+11 b B d)}{12376 e (d+e x)^{13} (b d-a e)^5}+\frac{b^2 (a+b x)^{11} (-17 a B e+6 A b e+11 b B d)}{2856 e (d+e x)^{14} (b d-a e)^4}+\frac{b (a+b x)^{11} (-17 a B e+6 A b e+11 b B d)}{816 e (d+e x)^{15} (b d-a e)^3}+\frac{(a+b x)^{11} (-17 a B e+6 A b e+11 b B d)}{272 e (d+e x)^{16} (b d-a e)^2}-\frac{(a+b x)^{11} (B d-A e)}{17 e (d+e x)^{17} (b d-a e)}","\frac{b^5 (a+b x)^{11} (-17 a B e+6 A b e+11 b B d)}{816816 e (d+e x)^{11} (b d-a e)^7}+\frac{b^4 (a+b x)^{11} (-17 a B e+6 A b e+11 b B d)}{74256 e (d+e x)^{12} (b d-a e)^6}+\frac{b^3 (a+b x)^{11} (-17 a B e+6 A b e+11 b B d)}{12376 e (d+e x)^{13} (b d-a e)^5}+\frac{b^2 (a+b x)^{11} (-17 a B e+6 A b e+11 b B d)}{2856 e (d+e x)^{14} (b d-a e)^4}+\frac{b (a+b x)^{11} (-17 a B e+6 A b e+11 b B d)}{816 e (d+e x)^{15} (b d-a e)^3}+\frac{(a+b x)^{11} (-17 a B e+6 A b e+11 b B d)}{272 e (d+e x)^{16} (b d-a e)^2}-\frac{(a+b x)^{11} (B d-A e)}{17 e (d+e x)^{17} (b d-a e)}",1,"-((B*d - A*e)*(a + b*x)^11)/(17*e*(b*d - a*e)*(d + e*x)^17) + ((11*b*B*d + 6*A*b*e - 17*a*B*e)*(a + b*x)^11)/(272*e*(b*d - a*e)^2*(d + e*x)^16) + (b*(11*b*B*d + 6*A*b*e - 17*a*B*e)*(a + b*x)^11)/(816*e*(b*d - a*e)^3*(d + e*x)^15) + (b^2*(11*b*B*d + 6*A*b*e - 17*a*B*e)*(a + b*x)^11)/(2856*e*(b*d - a*e)^4*(d + e*x)^14) + (b^3*(11*b*B*d + 6*A*b*e - 17*a*B*e)*(a + b*x)^11)/(12376*e*(b*d - a*e)^5*(d + e*x)^13) + (b^4*(11*b*B*d + 6*A*b*e - 17*a*B*e)*(a + b*x)^11)/(74256*e*(b*d - a*e)^6*(d + e*x)^12) + (b^5*(11*b*B*d + 6*A*b*e - 17*a*B*e)*(a + b*x)^11)/(816816*e*(b*d - a*e)^7*(d + e*x)^11)","A",7,3,20,0.1500,1,"{78, 45, 37}"
1107,1,385,0,0.2091211,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^{19}} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^19,x]","\frac{b^6 (a+b x)^{11} (-18 a B e+7 A b e+11 b B d)}{2450448 e (d+e x)^{11} (b d-a e)^8}+\frac{b^5 (a+b x)^{11} (-18 a B e+7 A b e+11 b B d)}{222768 e (d+e x)^{12} (b d-a e)^7}+\frac{b^4 (a+b x)^{11} (-18 a B e+7 A b e+11 b B d)}{37128 e (d+e x)^{13} (b d-a e)^6}+\frac{b^3 (a+b x)^{11} (-18 a B e+7 A b e+11 b B d)}{8568 e (d+e x)^{14} (b d-a e)^5}+\frac{b^2 (a+b x)^{11} (-18 a B e+7 A b e+11 b B d)}{2448 e (d+e x)^{15} (b d-a e)^4}+\frac{b (a+b x)^{11} (-18 a B e+7 A b e+11 b B d)}{816 e (d+e x)^{16} (b d-a e)^3}+\frac{(a+b x)^{11} (-18 a B e+7 A b e+11 b B d)}{306 e (d+e x)^{17} (b d-a e)^2}-\frac{(a+b x)^{11} (B d-A e)}{18 e (d+e x)^{18} (b d-a e)}","\frac{b^6 (a+b x)^{11} (-18 a B e+7 A b e+11 b B d)}{2450448 e (d+e x)^{11} (b d-a e)^8}+\frac{b^5 (a+b x)^{11} (-18 a B e+7 A b e+11 b B d)}{222768 e (d+e x)^{12} (b d-a e)^7}+\frac{b^4 (a+b x)^{11} (-18 a B e+7 A b e+11 b B d)}{37128 e (d+e x)^{13} (b d-a e)^6}+\frac{b^3 (a+b x)^{11} (-18 a B e+7 A b e+11 b B d)}{8568 e (d+e x)^{14} (b d-a e)^5}+\frac{b^2 (a+b x)^{11} (-18 a B e+7 A b e+11 b B d)}{2448 e (d+e x)^{15} (b d-a e)^4}+\frac{b (a+b x)^{11} (-18 a B e+7 A b e+11 b B d)}{816 e (d+e x)^{16} (b d-a e)^3}+\frac{(a+b x)^{11} (-18 a B e+7 A b e+11 b B d)}{306 e (d+e x)^{17} (b d-a e)^2}-\frac{(a+b x)^{11} (B d-A e)}{18 e (d+e x)^{18} (b d-a e)}",1,"-((B*d - A*e)*(a + b*x)^11)/(18*e*(b*d - a*e)*(d + e*x)^18) + ((11*b*B*d + 7*A*b*e - 18*a*B*e)*(a + b*x)^11)/(306*e*(b*d - a*e)^2*(d + e*x)^17) + (b*(11*b*B*d + 7*A*b*e - 18*a*B*e)*(a + b*x)^11)/(816*e*(b*d - a*e)^3*(d + e*x)^16) + (b^2*(11*b*B*d + 7*A*b*e - 18*a*B*e)*(a + b*x)^11)/(2448*e*(b*d - a*e)^4*(d + e*x)^15) + (b^3*(11*b*B*d + 7*A*b*e - 18*a*B*e)*(a + b*x)^11)/(8568*e*(b*d - a*e)^5*(d + e*x)^14) + (b^4*(11*b*B*d + 7*A*b*e - 18*a*B*e)*(a + b*x)^11)/(37128*e*(b*d - a*e)^6*(d + e*x)^13) + (b^5*(11*b*B*d + 7*A*b*e - 18*a*B*e)*(a + b*x)^11)/(222768*e*(b*d - a*e)^7*(d + e*x)^12) + (b^6*(11*b*B*d + 7*A*b*e - 18*a*B*e)*(a + b*x)^11)/(2450448*e*(b*d - a*e)^8*(d + e*x)^11)","A",8,3,20,0.1500,1,"{78, 45, 37}"
1108,1,460,0,0.878306,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^{20}} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^20,x]","\frac{b^9 (-10 a B e-A b e+11 b B d)}{9 e^{12} (d+e x)^9}-\frac{b^8 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{2 e^{12} (d+e x)^{10}}+\frac{15 b^7 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{11 e^{12} (d+e x)^{11}}-\frac{5 b^6 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{2 e^{12} (d+e x)^{12}}+\frac{42 b^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{13 e^{12} (d+e x)^{13}}-\frac{3 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{e^{12} (d+e x)^{14}}+\frac{2 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12} (d+e x)^{15}}-\frac{15 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{16 e^{12} (d+e x)^{16}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{17 e^{12} (d+e x)^{17}}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{18 e^{12} (d+e x)^{18}}+\frac{(b d-a e)^{10} (B d-A e)}{19 e^{12} (d+e x)^{19}}-\frac{b^{10} B}{8 e^{12} (d+e x)^8}","\frac{b^9 (-10 a B e-A b e+11 b B d)}{9 e^{12} (d+e x)^9}-\frac{b^8 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{2 e^{12} (d+e x)^{10}}+\frac{15 b^7 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{11 e^{12} (d+e x)^{11}}-\frac{5 b^6 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{2 e^{12} (d+e x)^{12}}+\frac{42 b^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{13 e^{12} (d+e x)^{13}}-\frac{3 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{e^{12} (d+e x)^{14}}+\frac{2 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{e^{12} (d+e x)^{15}}-\frac{15 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{16 e^{12} (d+e x)^{16}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{17 e^{12} (d+e x)^{17}}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{18 e^{12} (d+e x)^{18}}+\frac{(b d-a e)^{10} (B d-A e)}{19 e^{12} (d+e x)^{19}}-\frac{b^{10} B}{8 e^{12} (d+e x)^8}",1,"((b*d - a*e)^10*(B*d - A*e))/(19*e^12*(d + e*x)^19) - ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e))/(18*e^12*(d + e*x)^18) + (5*b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e))/(17*e^12*(d + e*x)^17) - (15*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e))/(16*e^12*(d + e*x)^16) + (2*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e))/(e^12*(d + e*x)^15) - (3*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e))/(e^12*(d + e*x)^14) + (42*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e))/(13*e^12*(d + e*x)^13) - (5*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e))/(2*e^12*(d + e*x)^12) + (15*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e))/(11*e^12*(d + e*x)^11) - (b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e))/(2*e^12*(d + e*x)^10) + (b^9*(11*b*B*d - A*b*e - 10*a*B*e))/(9*e^12*(d + e*x)^9) - (b^10*B)/(8*e^12*(d + e*x)^8)","A",2,1,20,0.05000,1,"{77}"
1109,1,462,0,0.7369295,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^{21}} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^21,x]","\frac{b^9 (-10 a B e-A b e+11 b B d)}{10 e^{12} (d+e x)^{10}}-\frac{5 b^8 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{11 e^{12} (d+e x)^{11}}+\frac{5 b^7 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{4 e^{12} (d+e x)^{12}}-\frac{30 b^6 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{13 e^{12} (d+e x)^{13}}+\frac{3 b^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{e^{12} (d+e x)^{14}}-\frac{14 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{5 e^{12} (d+e x)^{15}}+\frac{15 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{8 e^{12} (d+e x)^{16}}-\frac{15 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{17 e^{12} (d+e x)^{17}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{18 e^{12} (d+e x)^{18}}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{19 e^{12} (d+e x)^{19}}+\frac{(b d-a e)^{10} (B d-A e)}{20 e^{12} (d+e x)^{20}}-\frac{b^{10} B}{9 e^{12} (d+e x)^9}","\frac{b^9 (-10 a B e-A b e+11 b B d)}{10 e^{12} (d+e x)^{10}}-\frac{5 b^8 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{11 e^{12} (d+e x)^{11}}+\frac{5 b^7 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{4 e^{12} (d+e x)^{12}}-\frac{30 b^6 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{13 e^{12} (d+e x)^{13}}+\frac{3 b^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{e^{12} (d+e x)^{14}}-\frac{14 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{5 e^{12} (d+e x)^{15}}+\frac{15 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{8 e^{12} (d+e x)^{16}}-\frac{15 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{17 e^{12} (d+e x)^{17}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{18 e^{12} (d+e x)^{18}}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{19 e^{12} (d+e x)^{19}}+\frac{(b d-a e)^{10} (B d-A e)}{20 e^{12} (d+e x)^{20}}-\frac{b^{10} B}{9 e^{12} (d+e x)^9}",1,"((b*d - a*e)^10*(B*d - A*e))/(20*e^12*(d + e*x)^20) - ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e))/(19*e^12*(d + e*x)^19) + (5*b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e))/(18*e^12*(d + e*x)^18) - (15*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e))/(17*e^12*(d + e*x)^17) + (15*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e))/(8*e^12*(d + e*x)^16) - (14*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e))/(5*e^12*(d + e*x)^15) + (3*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e))/(e^12*(d + e*x)^14) - (30*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e))/(13*e^12*(d + e*x)^13) + (5*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e))/(4*e^12*(d + e*x)^12) - (5*b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e))/(11*e^12*(d + e*x)^11) + (b^9*(11*b*B*d - A*b*e - 10*a*B*e))/(10*e^12*(d + e*x)^10) - (b^10*B)/(9*e^12*(d + e*x)^9)","A",2,1,20,0.05000,1,"{77}"
1110,1,464,0,0.6558353,"\int \frac{(a+b x)^{10} (A+B x)}{(d+e x)^{22}} \, dx","Int[((a + b*x)^10*(A + B*x))/(d + e*x)^22,x]","\frac{b^9 (-10 a B e-A b e+11 b B d)}{11 e^{12} (d+e x)^{11}}-\frac{5 b^8 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{12 e^{12} (d+e x)^{12}}+\frac{15 b^7 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{13 e^{12} (d+e x)^{13}}-\frac{15 b^6 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{7 e^{12} (d+e x)^{14}}+\frac{14 b^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{5 e^{12} (d+e x)^{15}}-\frac{21 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{8 e^{12} (d+e x)^{16}}+\frac{30 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{17 e^{12} (d+e x)^{17}}-\frac{5 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{6 e^{12} (d+e x)^{18}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{19 e^{12} (d+e x)^{19}}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{20 e^{12} (d+e x)^{20}}+\frac{(b d-a e)^{10} (B d-A e)}{21 e^{12} (d+e x)^{21}}-\frac{b^{10} B}{10 e^{12} (d+e x)^{10}}","\frac{b^9 (-10 a B e-A b e+11 b B d)}{11 e^{12} (d+e x)^{11}}-\frac{5 b^8 (b d-a e) (-9 a B e-2 A b e+11 b B d)}{12 e^{12} (d+e x)^{12}}+\frac{15 b^7 (b d-a e)^2 (-8 a B e-3 A b e+11 b B d)}{13 e^{12} (d+e x)^{13}}-\frac{15 b^6 (b d-a e)^3 (-7 a B e-4 A b e+11 b B d)}{7 e^{12} (d+e x)^{14}}+\frac{14 b^5 (b d-a e)^4 (-6 a B e-5 A b e+11 b B d)}{5 e^{12} (d+e x)^{15}}-\frac{21 b^4 (b d-a e)^5 (-5 a B e-6 A b e+11 b B d)}{8 e^{12} (d+e x)^{16}}+\frac{30 b^3 (b d-a e)^6 (-4 a B e-7 A b e+11 b B d)}{17 e^{12} (d+e x)^{17}}-\frac{5 b^2 (b d-a e)^7 (-3 a B e-8 A b e+11 b B d)}{6 e^{12} (d+e x)^{18}}+\frac{5 b (b d-a e)^8 (-2 a B e-9 A b e+11 b B d)}{19 e^{12} (d+e x)^{19}}-\frac{(b d-a e)^9 (-a B e-10 A b e+11 b B d)}{20 e^{12} (d+e x)^{20}}+\frac{(b d-a e)^{10} (B d-A e)}{21 e^{12} (d+e x)^{21}}-\frac{b^{10} B}{10 e^{12} (d+e x)^{10}}",1,"((b*d - a*e)^10*(B*d - A*e))/(21*e^12*(d + e*x)^21) - ((b*d - a*e)^9*(11*b*B*d - 10*A*b*e - a*B*e))/(20*e^12*(d + e*x)^20) + (5*b*(b*d - a*e)^8*(11*b*B*d - 9*A*b*e - 2*a*B*e))/(19*e^12*(d + e*x)^19) - (5*b^2*(b*d - a*e)^7*(11*b*B*d - 8*A*b*e - 3*a*B*e))/(6*e^12*(d + e*x)^18) + (30*b^3*(b*d - a*e)^6*(11*b*B*d - 7*A*b*e - 4*a*B*e))/(17*e^12*(d + e*x)^17) - (21*b^4*(b*d - a*e)^5*(11*b*B*d - 6*A*b*e - 5*a*B*e))/(8*e^12*(d + e*x)^16) + (14*b^5*(b*d - a*e)^4*(11*b*B*d - 5*A*b*e - 6*a*B*e))/(5*e^12*(d + e*x)^15) - (15*b^6*(b*d - a*e)^3*(11*b*B*d - 4*A*b*e - 7*a*B*e))/(7*e^12*(d + e*x)^14) + (15*b^7*(b*d - a*e)^2*(11*b*B*d - 3*A*b*e - 8*a*B*e))/(13*e^12*(d + e*x)^13) - (5*b^8*(b*d - a*e)*(11*b*B*d - 2*A*b*e - 9*a*B*e))/(12*e^12*(d + e*x)^12) + (b^9*(11*b*B*d - A*b*e - 10*a*B*e))/(11*e^12*(d + e*x)^11) - (b^10*B)/(10*e^12*(d + e*x)^10)","A",2,1,20,0.05000,1,"{77}"
1111,1,187,0,0.1325606,"\int \frac{(A+B x) (d+e x)^5}{a+b x} \, dx","Int[((A + B*x)*(d + e*x)^5)/(a + b*x),x]","\frac{(d+e x)^5 (A b-a B)}{5 b^2}+\frac{(d+e x)^4 (A b-a B) (b d-a e)}{4 b^3}+\frac{(d+e x)^3 (A b-a B) (b d-a e)^2}{3 b^4}+\frac{(d+e x)^2 (A b-a B) (b d-a e)^3}{2 b^5}+\frac{e x (A b-a B) (b d-a e)^4}{b^6}+\frac{(A b-a B) (b d-a e)^5 \log (a+b x)}{b^7}+\frac{B (d+e x)^6}{6 b e}","\frac{(d+e x)^5 (A b-a B)}{5 b^2}+\frac{(d+e x)^4 (A b-a B) (b d-a e)}{4 b^3}+\frac{(d+e x)^3 (A b-a B) (b d-a e)^2}{3 b^4}+\frac{(d+e x)^2 (A b-a B) (b d-a e)^3}{2 b^5}+\frac{e x (A b-a B) (b d-a e)^4}{b^6}+\frac{(A b-a B) (b d-a e)^5 \log (a+b x)}{b^7}+\frac{B (d+e x)^6}{6 b e}",1,"((A*b - a*B)*e*(b*d - a*e)^4*x)/b^6 + ((A*b - a*B)*(b*d - a*e)^3*(d + e*x)^2)/(2*b^5) + ((A*b - a*B)*(b*d - a*e)^2*(d + e*x)^3)/(3*b^4) + ((A*b - a*B)*(b*d - a*e)*(d + e*x)^4)/(4*b^3) + ((A*b - a*B)*(d + e*x)^5)/(5*b^2) + (B*(d + e*x)^6)/(6*b*e) + ((A*b - a*B)*(b*d - a*e)^5*Log[a + b*x])/b^7","A",2,1,20,0.05000,1,"{77}"
1112,1,155,0,0.0956148,"\int \frac{(A+B x) (d+e x)^4}{a+b x} \, dx","Int[((A + B*x)*(d + e*x)^4)/(a + b*x),x]","\frac{(d+e x)^4 (A b-a B)}{4 b^2}+\frac{(d+e x)^3 (A b-a B) (b d-a e)}{3 b^3}+\frac{(d+e x)^2 (A b-a B) (b d-a e)^2}{2 b^4}+\frac{e x (A b-a B) (b d-a e)^3}{b^5}+\frac{(A b-a B) (b d-a e)^4 \log (a+b x)}{b^6}+\frac{B (d+e x)^5}{5 b e}","\frac{(d+e x)^4 (A b-a B)}{4 b^2}+\frac{(d+e x)^3 (A b-a B) (b d-a e)}{3 b^3}+\frac{(d+e x)^2 (A b-a B) (b d-a e)^2}{2 b^4}+\frac{e x (A b-a B) (b d-a e)^3}{b^5}+\frac{(A b-a B) (b d-a e)^4 \log (a+b x)}{b^6}+\frac{B (d+e x)^5}{5 b e}",1,"((A*b - a*B)*e*(b*d - a*e)^3*x)/b^5 + ((A*b - a*B)*(b*d - a*e)^2*(d + e*x)^2)/(2*b^4) + ((A*b - a*B)*(b*d - a*e)*(d + e*x)^3)/(3*b^3) + ((A*b - a*B)*(d + e*x)^4)/(4*b^2) + (B*(d + e*x)^5)/(5*b*e) + ((A*b - a*B)*(b*d - a*e)^4*Log[a + b*x])/b^6","A",2,1,20,0.05000,1,"{77}"
1113,1,123,0,0.0756307,"\int \frac{(A+B x) (d+e x)^3}{a+b x} \, dx","Int[((A + B*x)*(d + e*x)^3)/(a + b*x),x]","\frac{(d+e x)^3 (A b-a B)}{3 b^2}+\frac{(d+e x)^2 (A b-a B) (b d-a e)}{2 b^3}+\frac{e x (A b-a B) (b d-a e)^2}{b^4}+\frac{(A b-a B) (b d-a e)^3 \log (a+b x)}{b^5}+\frac{B (d+e x)^4}{4 b e}","\frac{(d+e x)^3 (A b-a B)}{3 b^2}+\frac{(d+e x)^2 (A b-a B) (b d-a e)}{2 b^3}+\frac{e x (A b-a B) (b d-a e)^2}{b^4}+\frac{(A b-a B) (b d-a e)^3 \log (a+b x)}{b^5}+\frac{B (d+e x)^4}{4 b e}",1,"((A*b - a*B)*e*(b*d - a*e)^2*x)/b^4 + ((A*b - a*B)*(b*d - a*e)*(d + e*x)^2)/(2*b^3) + ((A*b - a*B)*(d + e*x)^3)/(3*b^2) + (B*(d + e*x)^4)/(4*b*e) + ((A*b - a*B)*(b*d - a*e)^3*Log[a + b*x])/b^5","A",2,1,20,0.05000,1,"{77}"
1114,1,91,0,0.056428,"\int \frac{(A+B x) (d+e x)^2}{a+b x} \, dx","Int[((A + B*x)*(d + e*x)^2)/(a + b*x),x]","\frac{(d+e x)^2 (A b-a B)}{2 b^2}+\frac{e x (A b-a B) (b d-a e)}{b^3}+\frac{(A b-a B) (b d-a e)^2 \log (a+b x)}{b^4}+\frac{B (d+e x)^3}{3 b e}","\frac{(d+e x)^2 (A b-a B)}{2 b^2}+\frac{e x (A b-a B) (b d-a e)}{b^3}+\frac{(A b-a B) (b d-a e)^2 \log (a+b x)}{b^4}+\frac{B (d+e x)^3}{3 b e}",1,"((A*b - a*B)*e*(b*d - a*e)*x)/b^3 + ((A*b - a*B)*(d + e*x)^2)/(2*b^2) + (B*(d + e*x)^3)/(3*b*e) + ((A*b - a*B)*(b*d - a*e)^2*Log[a + b*x])/b^4","A",2,1,20,0.05000,1,"{77}"
1115,1,59,0,0.0410191,"\int \frac{(A+B x) (d+e x)}{a+b x} \, dx","Int[((A + B*x)*(d + e*x))/(a + b*x),x]","\frac{(A b-a B) (b d-a e) \log (a+b x)}{b^3}+\frac{B x (b d-a e)}{b^2}+\frac{e (A+B x)^2}{2 b B}","\frac{(A b-a B) (b d-a e) \log (a+b x)}{b^3}+\frac{B x (b d-a e)}{b^2}+\frac{e (A+B x)^2}{2 b B}",1,"(B*(b*d - a*e)*x)/b^2 + (e*(A + B*x)^2)/(2*b*B) + ((A*b - a*B)*(b*d - a*e)*Log[a + b*x])/b^3","A",2,1,18,0.05556,1,"{77}"
1116,1,25,0,0.0179,"\int \frac{A+B x}{a+b x} \, dx","Int[(A + B*x)/(a + b*x),x]","\frac{(A b-a B) \log (a+b x)}{b^2}+\frac{B x}{b}","\frac{(A b-a B) \log (a+b x)}{b^2}+\frac{B x}{b}",1,"(B*x)/b + ((A*b - a*B)*Log[a + b*x])/b^2","A",2,1,13,0.07692,1,"{43}"
1117,1,57,0,0.0387887,"\int \frac{A+B x}{(a+b x) (d+e x)} \, dx","Int[(A + B*x)/((a + b*x)*(d + e*x)),x]","\frac{(A b-a B) \log (a+b x)}{b (b d-a e)}+\frac{(B d-A e) \log (d+e x)}{e (b d-a e)}","\frac{(A b-a B) \log (a+b x)}{b (b d-a e)}+\frac{(B d-A e) \log (d+e x)}{e (b d-a e)}",1,"((A*b - a*B)*Log[a + b*x])/(b*(b*d - a*e)) + ((B*d - A*e)*Log[d + e*x])/(e*(b*d - a*e))","A",2,1,20,0.05000,1,"{72}"
1118,1,82,0,0.0601968,"\int \frac{A+B x}{(a+b x) (d+e x)^2} \, dx","Int[(A + B*x)/((a + b*x)*(d + e*x)^2),x]","-\frac{B d-A e}{e (d+e x) (b d-a e)}+\frac{(A b-a B) \log (a+b x)}{(b d-a e)^2}-\frac{(A b-a B) \log (d+e x)}{(b d-a e)^2}","-\frac{B d-A e}{e (d+e x) (b d-a e)}+\frac{(A b-a B) \log (a+b x)}{(b d-a e)^2}-\frac{(A b-a B) \log (d+e x)}{(b d-a e)^2}",1,"-((B*d - A*e)/(e*(b*d - a*e)*(d + e*x))) + ((A*b - a*B)*Log[a + b*x])/(b*d - a*e)^2 - ((A*b - a*B)*Log[d + e*x])/(b*d - a*e)^2","A",2,1,20,0.05000,1,"{77}"
1119,1,112,0,0.0934046,"\int \frac{A+B x}{(a+b x) (d+e x)^3} \, dx","Int[(A + B*x)/((a + b*x)*(d + e*x)^3),x]","\frac{A b-a B}{(d+e x) (b d-a e)^2}-\frac{B d-A e}{2 e (d+e x)^2 (b d-a e)}+\frac{b (A b-a B) \log (a+b x)}{(b d-a e)^3}-\frac{b (A b-a B) \log (d+e x)}{(b d-a e)^3}","\frac{A b-a B}{(d+e x) (b d-a e)^2}-\frac{B d-A e}{2 e (d+e x)^2 (b d-a e)}+\frac{b (A b-a B) \log (a+b x)}{(b d-a e)^3}-\frac{b (A b-a B) \log (d+e x)}{(b d-a e)^3}",1,"-(B*d - A*e)/(2*e*(b*d - a*e)*(d + e*x)^2) + (A*b - a*B)/((b*d - a*e)^2*(d + e*x)) + (b*(A*b - a*B)*Log[a + b*x])/(b*d - a*e)^3 - (b*(A*b - a*B)*Log[d + e*x])/(b*d - a*e)^3","A",2,1,20,0.05000,1,"{77}"
1120,1,146,0,0.1163103,"\int \frac{A+B x}{(a+b x) (d+e x)^4} \, dx","Int[(A + B*x)/((a + b*x)*(d + e*x)^4),x]","\frac{b^2 (A b-a B) \log (a+b x)}{(b d-a e)^4}-\frac{b^2 (A b-a B) \log (d+e x)}{(b d-a e)^4}+\frac{b (A b-a B)}{(d+e x) (b d-a e)^3}+\frac{A b-a B}{2 (d+e x)^2 (b d-a e)^2}-\frac{B d-A e}{3 e (d+e x)^3 (b d-a e)}","\frac{b^2 (A b-a B) \log (a+b x)}{(b d-a e)^4}-\frac{b^2 (A b-a B) \log (d+e x)}{(b d-a e)^4}+\frac{b (A b-a B)}{(d+e x) (b d-a e)^3}+\frac{A b-a B}{2 (d+e x)^2 (b d-a e)^2}-\frac{B d-A e}{3 e (d+e x)^3 (b d-a e)}",1,"-(B*d - A*e)/(3*e*(b*d - a*e)*(d + e*x)^3) + (A*b - a*B)/(2*(b*d - a*e)^2*(d + e*x)^2) + (b*(A*b - a*B))/((b*d - a*e)^3*(d + e*x)) + (b^2*(A*b - a*B)*Log[a + b*x])/(b*d - a*e)^4 - (b^2*(A*b - a*B)*Log[d + e*x])/(b*d - a*e)^4","A",2,1,20,0.05000,1,"{77}"
1121,1,178,0,0.1596934,"\int \frac{A+B x}{(a+b x) (d+e x)^5} \, dx","Int[(A + B*x)/((a + b*x)*(d + e*x)^5),x]","\frac{b^2 (A b-a B)}{(d+e x) (b d-a e)^4}+\frac{b^3 (A b-a B) \log (a+b x)}{(b d-a e)^5}-\frac{b^3 (A b-a B) \log (d+e x)}{(b d-a e)^5}+\frac{b (A b-a B)}{2 (d+e x)^2 (b d-a e)^3}+\frac{A b-a B}{3 (d+e x)^3 (b d-a e)^2}-\frac{B d-A e}{4 e (d+e x)^4 (b d-a e)}","\frac{b^2 (A b-a B)}{(d+e x) (b d-a e)^4}+\frac{b^3 (A b-a B) \log (a+b x)}{(b d-a e)^5}-\frac{b^3 (A b-a B) \log (d+e x)}{(b d-a e)^5}+\frac{b (A b-a B)}{2 (d+e x)^2 (b d-a e)^3}+\frac{A b-a B}{3 (d+e x)^3 (b d-a e)^2}-\frac{B d-A e}{4 e (d+e x)^4 (b d-a e)}",1,"-(B*d - A*e)/(4*e*(b*d - a*e)*(d + e*x)^4) + (A*b - a*B)/(3*(b*d - a*e)^2*(d + e*x)^3) + (b*(A*b - a*B))/(2*(b*d - a*e)^3*(d + e*x)^2) + (b^2*(A*b - a*B))/((b*d - a*e)^4*(d + e*x)) + (b^3*(A*b - a*B)*Log[a + b*x])/(b*d - a*e)^5 - (b^3*(A*b - a*B)*Log[d + e*x])/(b*d - a*e)^5","A",2,1,20,0.05000,1,"{77}"
1122,1,227,0,0.3891735,"\int \frac{(A+B x) (d+e x)^5}{(a+b x)^2} \, dx","Int[((A + B*x)*(d + e*x)^5)/(a + b*x)^2,x]","\frac{5 e^2 (a+b x)^2 (b d-a e)^2 (-2 a B e+A b e+b B d)}{b^7}+\frac{5 e^3 (a+b x)^3 (b d-a e) (-3 a B e+A b e+2 b B d)}{3 b^7}+\frac{e^4 (a+b x)^4 (-6 a B e+A b e+5 b B d)}{4 b^7}-\frac{(A b-a B) (b d-a e)^5}{b^7 (a+b x)}+\frac{5 e x (b d-a e)^3 (-3 a B e+2 A b e+b B d)}{b^6}+\frac{(b d-a e)^4 \log (a+b x) (-6 a B e+5 A b e+b B d)}{b^7}+\frac{B e^5 (a+b x)^5}{5 b^7}","\frac{5 e^2 (a+b x)^2 (b d-a e)^2 (-2 a B e+A b e+b B d)}{b^7}+\frac{5 e^3 (a+b x)^3 (b d-a e) (-3 a B e+A b e+2 b B d)}{3 b^7}+\frac{e^4 (a+b x)^4 (-6 a B e+A b e+5 b B d)}{4 b^7}-\frac{(A b-a B) (b d-a e)^5}{b^7 (a+b x)}+\frac{5 e x (b d-a e)^3 (-3 a B e+2 A b e+b B d)}{b^6}+\frac{(b d-a e)^4 \log (a+b x) (-6 a B e+5 A b e+b B d)}{b^7}+\frac{B e^5 (a+b x)^5}{5 b^7}",1,"(5*e*(b*d - a*e)^3*(b*B*d + 2*A*b*e - 3*a*B*e)*x)/b^6 - ((A*b - a*B)*(b*d - a*e)^5)/(b^7*(a + b*x)) + (5*e^2*(b*d - a*e)^2*(b*B*d + A*b*e - 2*a*B*e)*(a + b*x)^2)/b^7 + (5*e^3*(b*d - a*e)*(2*b*B*d + A*b*e - 3*a*B*e)*(a + b*x)^3)/(3*b^7) + (e^4*(5*b*B*d + A*b*e - 6*a*B*e)*(a + b*x)^4)/(4*b^7) + (B*e^5*(a + b*x)^5)/(5*b^7) + ((b*d - a*e)^4*(b*B*d + 5*A*b*e - 6*a*B*e)*Log[a + b*x])/b^7","A",2,1,20,0.05000,1,"{77}"
1123,1,187,0,0.2620552,"\int \frac{(A+B x) (d+e x)^4}{(a+b x)^2} \, dx","Int[((A + B*x)*(d + e*x)^4)/(a + b*x)^2,x]","\frac{e^2 (a+b x)^2 (b d-a e) (-5 a B e+2 A b e+3 b B d)}{b^6}+\frac{e^3 (a+b x)^3 (-5 a B e+A b e+4 b B d)}{3 b^6}-\frac{(A b-a B) (b d-a e)^4}{b^6 (a+b x)}+\frac{2 e x (b d-a e)^2 (-5 a B e+3 A b e+2 b B d)}{b^5}+\frac{(b d-a e)^3 \log (a+b x) (-5 a B e+4 A b e+b B d)}{b^6}+\frac{B e^4 (a+b x)^4}{4 b^6}","\frac{e^2 (a+b x)^2 (b d-a e) (-5 a B e+2 A b e+3 b B d)}{b^6}+\frac{e^3 (a+b x)^3 (-5 a B e+A b e+4 b B d)}{3 b^6}-\frac{(A b-a B) (b d-a e)^4}{b^6 (a+b x)}+\frac{2 e x (b d-a e)^2 (-5 a B e+3 A b e+2 b B d)}{b^5}+\frac{(b d-a e)^3 \log (a+b x) (-5 a B e+4 A b e+b B d)}{b^6}+\frac{B e^4 (a+b x)^4}{4 b^6}",1,"(2*e*(b*d - a*e)^2*(2*b*B*d + 3*A*b*e - 5*a*B*e)*x)/b^5 - ((A*b - a*B)*(b*d - a*e)^4)/(b^6*(a + b*x)) + (e^2*(b*d - a*e)*(3*b*B*d + 2*A*b*e - 5*a*B*e)*(a + b*x)^2)/b^6 + (e^3*(4*b*B*d + A*b*e - 5*a*B*e)*(a + b*x)^3)/(3*b^6) + (B*e^4*(a + b*x)^4)/(4*b^6) + ((b*d - a*e)^3*(b*B*d + 4*A*b*e - 5*a*B*e)*Log[a + b*x])/b^6","A",2,1,20,0.05000,1,"{77}"
1124,1,145,0,0.1780601,"\int \frac{(A+B x) (d+e x)^3}{(a+b x)^2} \, dx","Int[((A + B*x)*(d + e*x)^3)/(a + b*x)^2,x]","\frac{e^2 (a+b x)^2 (-4 a B e+A b e+3 b B d)}{2 b^5}-\frac{(A b-a B) (b d-a e)^3}{b^5 (a+b x)}+\frac{3 e x (b d-a e) (-2 a B e+A b e+b B d)}{b^4}+\frac{(b d-a e)^2 \log (a+b x) (-4 a B e+3 A b e+b B d)}{b^5}+\frac{B e^3 (a+b x)^3}{3 b^5}","\frac{e^2 (a+b x)^2 (-4 a B e+A b e+3 b B d)}{2 b^5}-\frac{(A b-a B) (b d-a e)^3}{b^5 (a+b x)}+\frac{3 e x (b d-a e) (-2 a B e+A b e+b B d)}{b^4}+\frac{(b d-a e)^2 \log (a+b x) (-4 a B e+3 A b e+b B d)}{b^5}+\frac{B e^3 (a+b x)^3}{3 b^5}",1,"(3*e*(b*d - a*e)*(b*B*d + A*b*e - 2*a*B*e)*x)/b^4 - ((A*b - a*B)*(b*d - a*e)^3)/(b^5*(a + b*x)) + (e^2*(3*b*B*d + A*b*e - 4*a*B*e)*(a + b*x)^2)/(2*b^5) + (B*e^3*(a + b*x)^3)/(3*b^5) + ((b*d - a*e)^2*(b*B*d + 3*A*b*e - 4*a*B*e)*Log[a + b*x])/b^5","A",2,1,20,0.05000,1,"{77}"
1125,1,99,0,0.09707,"\int \frac{(A+B x) (d+e x)^2}{(a+b x)^2} \, dx","Int[((A + B*x)*(d + e*x)^2)/(a + b*x)^2,x]","-\frac{(A b-a B) (b d-a e)^2}{b^4 (a+b x)}+\frac{e x (-2 a B e+A b e+2 b B d)}{b^3}+\frac{(b d-a e) \log (a+b x) (-3 a B e+2 A b e+b B d)}{b^4}+\frac{B e^2 x^2}{2 b^2}","-\frac{(A b-a B) (b d-a e)^2}{b^4 (a+b x)}+\frac{e x (-2 a B e+A b e+2 b B d)}{b^3}+\frac{(b d-a e) \log (a+b x) (-3 a B e+2 A b e+b B d)}{b^4}+\frac{B e^2 x^2}{2 b^2}",1,"(e*(2*b*B*d + A*b*e - 2*a*B*e)*x)/b^3 + (B*e^2*x^2)/(2*b^2) - ((A*b - a*B)*(b*d - a*e)^2)/(b^4*(a + b*x)) + ((b*d - a*e)*(b*B*d + 2*A*b*e - 3*a*B*e)*Log[a + b*x])/b^4","A",2,1,20,0.05000,1,"{77}"
1126,1,60,0,0.0544165,"\int \frac{(A+B x) (d+e x)}{(a+b x)^2} \, dx","Int[((A + B*x)*(d + e*x))/(a + b*x)^2,x]","-\frac{(A b-a B) (b d-a e)}{b^3 (a+b x)}+\frac{\log (a+b x) (-2 a B e+A b e+b B d)}{b^3}+\frac{B e x}{b^2}","-\frac{(A b-a B) (b d-a e)}{b^3 (a+b x)}+\frac{\log (a+b x) (-2 a B e+A b e+b B d)}{b^3}+\frac{B e x}{b^2}",1,"(B*e*x)/b^2 - ((A*b - a*B)*(b*d - a*e))/(b^3*(a + b*x)) + ((b*B*d + A*b*e - 2*a*B*e)*Log[a + b*x])/b^3","A",2,1,18,0.05556,1,"{77}"
1127,1,32,0,0.0217468,"\int \frac{A+B x}{(a+b x)^2} \, dx","Int[(A + B*x)/(a + b*x)^2,x]","\frac{B \log (a+b x)}{b^2}-\frac{A b-a B}{b^2 (a+b x)}","\frac{B \log (a+b x)}{b^2}-\frac{A b-a B}{b^2 (a+b x)}",1,"-((A*b - a*B)/(b^2*(a + b*x))) + (B*Log[a + b*x])/b^2","A",2,1,13,0.07692,1,"{43}"
1128,1,82,0,0.0619216,"\int \frac{A+B x}{(a+b x)^2 (d+e x)} \, dx","Int[(A + B*x)/((a + b*x)^2*(d + e*x)),x]","-\frac{A b-a B}{b (a+b x) (b d-a e)}+\frac{\log (a+b x) (B d-A e)}{(b d-a e)^2}-\frac{(B d-A e) \log (d+e x)}{(b d-a e)^2}","-\frac{A b-a B}{b (a+b x) (b d-a e)}+\frac{\log (a+b x) (B d-A e)}{(b d-a e)^2}-\frac{(B d-A e) \log (d+e x)}{(b d-a e)^2}",1,"-((A*b - a*B)/(b*(b*d - a*e)*(a + b*x))) + ((B*d - A*e)*Log[a + b*x])/(b*d - a*e)^2 - ((B*d - A*e)*Log[d + e*x])/(b*d - a*e)^2","A",2,1,20,0.05000,1,"{77}"
1129,1,117,0,0.1027608,"\int \frac{A+B x}{(a+b x)^2 (d+e x)^2} \, dx","Int[(A + B*x)/((a + b*x)^2*(d + e*x)^2),x]","-\frac{A b-a B}{(a+b x) (b d-a e)^2}+\frac{B d-A e}{(d+e x) (b d-a e)^2}+\frac{\log (a+b x) (a B e-2 A b e+b B d)}{(b d-a e)^3}-\frac{\log (d+e x) (a B e-2 A b e+b B d)}{(b d-a e)^3}","-\frac{A b-a B}{(a+b x) (b d-a e)^2}+\frac{B d-A e}{(d+e x) (b d-a e)^2}+\frac{\log (a+b x) (a B e-2 A b e+b B d)}{(b d-a e)^3}-\frac{\log (d+e x) (a B e-2 A b e+b B d)}{(b d-a e)^3}",1,"-((A*b - a*B)/((b*d - a*e)^2*(a + b*x))) + (B*d - A*e)/((b*d - a*e)^2*(d + e*x)) + ((b*B*d - 2*A*b*e + a*B*e)*Log[a + b*x])/(b*d - a*e)^3 - ((b*B*d - 2*A*b*e + a*B*e)*Log[d + e*x])/(b*d - a*e)^3","A",2,1,20,0.05000,1,"{77}"
1130,1,157,0,0.1507519,"\int \frac{A+B x}{(a+b x)^2 (d+e x)^3} \, dx","Int[(A + B*x)/((a + b*x)^2*(d + e*x)^3),x]","-\frac{b (A b-a B)}{(a+b x) (b d-a e)^3}+\frac{a B e-2 A b e+b B d}{(d+e x) (b d-a e)^3}+\frac{B d-A e}{2 (d+e x)^2 (b d-a e)^2}+\frac{b \log (a+b x) (2 a B e-3 A b e+b B d)}{(b d-a e)^4}-\frac{b \log (d+e x) (2 a B e-3 A b e+b B d)}{(b d-a e)^4}","-\frac{b (A b-a B)}{(a+b x) (b d-a e)^3}+\frac{a B e-2 A b e+b B d}{(d+e x) (b d-a e)^3}+\frac{B d-A e}{2 (d+e x)^2 (b d-a e)^2}+\frac{b \log (a+b x) (2 a B e-3 A b e+b B d)}{(b d-a e)^4}-\frac{b \log (d+e x) (2 a B e-3 A b e+b B d)}{(b d-a e)^4}",1,"-((b*(A*b - a*B))/((b*d - a*e)^3*(a + b*x))) + (B*d - A*e)/(2*(b*d - a*e)^2*(d + e*x)^2) + (b*B*d - 2*A*b*e + a*B*e)/((b*d - a*e)^3*(d + e*x)) + (b*(b*B*d - 3*A*b*e + 2*a*B*e)*Log[a + b*x])/(b*d - a*e)^4 - (b*(b*B*d - 3*A*b*e + 2*a*B*e)*Log[d + e*x])/(b*d - a*e)^4","A",2,1,20,0.05000,1,"{77}"
1131,1,200,0,0.209744,"\int \frac{A+B x}{(a+b x)^2 (d+e x)^4} \, dx","Int[(A + B*x)/((a + b*x)^2*(d + e*x)^4),x]","-\frac{b^2 (A b-a B)}{(a+b x) (b d-a e)^4}+\frac{b^2 \log (a+b x) (3 a B e-4 A b e+b B d)}{(b d-a e)^5}-\frac{b^2 \log (d+e x) (3 a B e-4 A b e+b B d)}{(b d-a e)^5}+\frac{b (2 a B e-3 A b e+b B d)}{(d+e x) (b d-a e)^4}+\frac{a B e-2 A b e+b B d}{2 (d+e x)^2 (b d-a e)^3}+\frac{B d-A e}{3 (d+e x)^3 (b d-a e)^2}","-\frac{b^2 (A b-a B)}{(a+b x) (b d-a e)^4}+\frac{b^2 \log (a+b x) (3 a B e-4 A b e+b B d)}{(b d-a e)^5}-\frac{b^2 \log (d+e x) (3 a B e-4 A b e+b B d)}{(b d-a e)^5}+\frac{b (2 a B e-3 A b e+b B d)}{(d+e x) (b d-a e)^4}+\frac{a B e-2 A b e+b B d}{2 (d+e x)^2 (b d-a e)^3}+\frac{B d-A e}{3 (d+e x)^3 (b d-a e)^2}",1,"-((b^2*(A*b - a*B))/((b*d - a*e)^4*(a + b*x))) + (B*d - A*e)/(3*(b*d - a*e)^2*(d + e*x)^3) + (b*B*d - 2*A*b*e + a*B*e)/(2*(b*d - a*e)^3*(d + e*x)^2) + (b*(b*B*d - 3*A*b*e + 2*a*B*e))/((b*d - a*e)^4*(d + e*x)) + (b^2*(b*B*d - 4*A*b*e + 3*a*B*e)*Log[a + b*x])/(b*d - a*e)^5 - (b^2*(b*B*d - 4*A*b*e + 3*a*B*e)*Log[d + e*x])/(b*d - a*e)^5","A",2,1,20,0.05000,1,"{77}"
1132,1,239,0,0.2779927,"\int \frac{A+B x}{(a+b x)^2 (d+e x)^5} \, dx","Int[(A + B*x)/((a + b*x)^2*(d + e*x)^5),x]","-\frac{b^3 (A b-a B)}{(a+b x) (b d-a e)^5}+\frac{b^2 (3 a B e-4 A b e+b B d)}{(d+e x) (b d-a e)^5}+\frac{b^3 \log (a+b x) (4 a B e-5 A b e+b B d)}{(b d-a e)^6}-\frac{b^3 \log (d+e x) (4 a B e-5 A b e+b B d)}{(b d-a e)^6}+\frac{b (2 a B e-3 A b e+b B d)}{2 (d+e x)^2 (b d-a e)^4}+\frac{a B e-2 A b e+b B d}{3 (d+e x)^3 (b d-a e)^3}+\frac{B d-A e}{4 (d+e x)^4 (b d-a e)^2}","-\frac{b^3 (A b-a B)}{(a+b x) (b d-a e)^5}+\frac{b^2 (3 a B e-4 A b e+b B d)}{(d+e x) (b d-a e)^5}+\frac{b^3 \log (a+b x) (4 a B e-5 A b e+b B d)}{(b d-a e)^6}-\frac{b^3 \log (d+e x) (4 a B e-5 A b e+b B d)}{(b d-a e)^6}+\frac{b (2 a B e-3 A b e+b B d)}{2 (d+e x)^2 (b d-a e)^4}+\frac{a B e-2 A b e+b B d}{3 (d+e x)^3 (b d-a e)^3}+\frac{B d-A e}{4 (d+e x)^4 (b d-a e)^2}",1,"-((b^3*(A*b - a*B))/((b*d - a*e)^5*(a + b*x))) + (B*d - A*e)/(4*(b*d - a*e)^2*(d + e*x)^4) + (b*B*d - 2*A*b*e + a*B*e)/(3*(b*d - a*e)^3*(d + e*x)^3) + (b*(b*B*d - 3*A*b*e + 2*a*B*e))/(2*(b*d - a*e)^4*(d + e*x)^2) + (b^2*(b*B*d - 4*A*b*e + 3*a*B*e))/((b*d - a*e)^5*(d + e*x)) + (b^3*(b*B*d - 5*A*b*e + 4*a*B*e)*Log[a + b*x])/(b*d - a*e)^6 - (b^3*(b*B*d - 5*A*b*e + 4*a*B*e)*Log[d + e*x])/(b*d - a*e)^6","A",2,1,20,0.05000,1,"{77}"
1133,1,230,0,0.3465983,"\int \frac{(A+B x) (d+e x)^5}{(a+b x)^3} \, dx","Int[((A + B*x)*(d + e*x)^5)/(a + b*x)^3,x]","\frac{e^4 (a+b x)^3 (-6 a B e+A b e+5 b B d)}{3 b^7}+\frac{5 e^3 (a+b x)^2 (b d-a e) (-3 a B e+A b e+2 b B d)}{2 b^7}+\frac{10 e^2 x (b d-a e)^2 (-2 a B e+A b e+b B d)}{b^6}-\frac{(b d-a e)^4 (-6 a B e+5 A b e+b B d)}{b^7 (a+b x)}-\frac{(A b-a B) (b d-a e)^5}{2 b^7 (a+b x)^2}+\frac{5 e (b d-a e)^3 \log (a+b x) (-3 a B e+2 A b e+b B d)}{b^7}+\frac{B e^5 (a+b x)^4}{4 b^7}","\frac{e^4 (a+b x)^3 (-6 a B e+A b e+5 b B d)}{3 b^7}+\frac{5 e^3 (a+b x)^2 (b d-a e) (-3 a B e+A b e+2 b B d)}{2 b^7}+\frac{10 e^2 x (b d-a e)^2 (-2 a B e+A b e+b B d)}{b^6}-\frac{(b d-a e)^4 (-6 a B e+5 A b e+b B d)}{b^7 (a+b x)}-\frac{(A b-a B) (b d-a e)^5}{2 b^7 (a+b x)^2}+\frac{5 e (b d-a e)^3 \log (a+b x) (-3 a B e+2 A b e+b B d)}{b^7}+\frac{B e^5 (a+b x)^4}{4 b^7}",1,"(10*e^2*(b*d - a*e)^2*(b*B*d + A*b*e - 2*a*B*e)*x)/b^6 - ((A*b - a*B)*(b*d - a*e)^5)/(2*b^7*(a + b*x)^2) - ((b*d - a*e)^4*(b*B*d + 5*A*b*e - 6*a*B*e))/(b^7*(a + b*x)) + (5*e^3*(b*d - a*e)*(2*b*B*d + A*b*e - 3*a*B*e)*(a + b*x)^2)/(2*b^7) + (e^4*(5*b*B*d + A*b*e - 6*a*B*e)*(a + b*x)^3)/(3*b^7) + (B*e^5*(a + b*x)^4)/(4*b^7) + (5*e*(b*d - a*e)^3*(b*B*d + 2*A*b*e - 3*a*B*e)*Log[a + b*x])/b^7","A",2,1,20,0.05000,1,"{77}"
1134,1,191,0,0.2533513,"\int \frac{(A+B x) (d+e x)^4}{(a+b x)^3} \, dx","Int[((A + B*x)*(d + e*x)^4)/(a + b*x)^3,x]","\frac{e^3 (a+b x)^2 (-5 a B e+A b e+4 b B d)}{2 b^6}+\frac{2 e^2 x (b d-a e) (-5 a B e+2 A b e+3 b B d)}{b^5}-\frac{(b d-a e)^3 (-5 a B e+4 A b e+b B d)}{b^6 (a+b x)}-\frac{(A b-a B) (b d-a e)^4}{2 b^6 (a+b x)^2}+\frac{2 e (b d-a e)^2 \log (a+b x) (-5 a B e+3 A b e+2 b B d)}{b^6}+\frac{B e^4 (a+b x)^3}{3 b^6}","\frac{e^3 (a+b x)^2 (-5 a B e+A b e+4 b B d)}{2 b^6}+\frac{2 e^2 x (b d-a e) (-5 a B e+2 A b e+3 b B d)}{b^5}-\frac{(b d-a e)^3 (-5 a B e+4 A b e+b B d)}{b^6 (a+b x)}-\frac{(A b-a B) (b d-a e)^4}{2 b^6 (a+b x)^2}+\frac{2 e (b d-a e)^2 \log (a+b x) (-5 a B e+3 A b e+2 b B d)}{b^6}+\frac{B e^4 (a+b x)^3}{3 b^6}",1,"(2*e^2*(b*d - a*e)*(3*b*B*d + 2*A*b*e - 5*a*B*e)*x)/b^5 - ((A*b - a*B)*(b*d - a*e)^4)/(2*b^6*(a + b*x)^2) - ((b*d - a*e)^3*(b*B*d + 4*A*b*e - 5*a*B*e))/(b^6*(a + b*x)) + (e^3*(4*b*B*d + A*b*e - 5*a*B*e)*(a + b*x)^2)/(2*b^6) + (B*e^4*(a + b*x)^3)/(3*b^6) + (2*e*(b*d - a*e)^2*(2*b*B*d + 3*A*b*e - 5*a*B*e)*Log[a + b*x])/b^6","A",2,1,20,0.05000,1,"{77}"
1135,1,141,0,0.156016,"\int \frac{(A+B x) (d+e x)^3}{(a+b x)^3} \, dx","Int[((A + B*x)*(d + e*x)^3)/(a + b*x)^3,x]","\frac{e^2 x (-3 a B e+A b e+3 b B d)}{b^4}-\frac{(b d-a e)^2 (-4 a B e+3 A b e+b B d)}{b^5 (a+b x)}-\frac{(A b-a B) (b d-a e)^3}{2 b^5 (a+b x)^2}+\frac{3 e (b d-a e) \log (a+b x) (-2 a B e+A b e+b B d)}{b^5}+\frac{B e^3 x^2}{2 b^3}","\frac{e^2 x (-3 a B e+A b e+3 b B d)}{b^4}-\frac{(b d-a e)^2 (-4 a B e+3 A b e+b B d)}{b^5 (a+b x)}-\frac{(A b-a B) (b d-a e)^3}{2 b^5 (a+b x)^2}+\frac{3 e (b d-a e) \log (a+b x) (-2 a B e+A b e+b B d)}{b^5}+\frac{B e^3 x^2}{2 b^3}",1,"(e^2*(3*b*B*d + A*b*e - 3*a*B*e)*x)/b^4 + (B*e^3*x^2)/(2*b^3) - ((A*b - a*B)*(b*d - a*e)^3)/(2*b^5*(a + b*x)^2) - ((b*d - a*e)^2*(b*B*d + 3*A*b*e - 4*a*B*e))/(b^5*(a + b*x)) + (3*e*(b*d - a*e)*(b*B*d + A*b*e - 2*a*B*e)*Log[a + b*x])/b^5","A",2,1,20,0.05000,1,"{77}"
1136,1,103,0,0.0933971,"\int \frac{(A+B x) (d+e x)^2}{(a+b x)^3} \, dx","Int[((A + B*x)*(d + e*x)^2)/(a + b*x)^3,x]","-\frac{(b d-a e) (-3 a B e+2 A b e+b B d)}{b^4 (a+b x)}-\frac{(A b-a B) (b d-a e)^2}{2 b^4 (a+b x)^2}+\frac{e \log (a+b x) (-3 a B e+A b e+2 b B d)}{b^4}+\frac{B e^2 x}{b^3}","-\frac{(b d-a e) (-3 a B e+2 A b e+b B d)}{b^4 (a+b x)}-\frac{(A b-a B) (b d-a e)^2}{2 b^4 (a+b x)^2}+\frac{e \log (a+b x) (-3 a B e+A b e+2 b B d)}{b^4}+\frac{B e^2 x}{b^3}",1,"(B*e^2*x)/b^3 - ((A*b - a*B)*(b*d - a*e)^2)/(2*b^4*(a + b*x)^2) - ((b*d - a*e)*(b*B*d + 2*A*b*e - 3*a*B*e))/(b^4*(a + b*x)) + (e*(2*b*B*d + A*b*e - 3*a*B*e)*Log[a + b*x])/b^4","A",2,1,20,0.05000,1,"{77}"
1137,1,69,0,0.0550578,"\int \frac{(A+B x) (d+e x)}{(a+b x)^3} \, dx","Int[((A + B*x)*(d + e*x))/(a + b*x)^3,x]","-\frac{(A b-a B) (b d-a e)}{2 b^3 (a+b x)^2}-\frac{-2 a B e+A b e+b B d}{b^3 (a+b x)}+\frac{B e \log (a+b x)}{b^3}","-\frac{(A b-a B) (b d-a e)}{2 b^3 (a+b x)^2}-\frac{-2 a B e+A b e+b B d}{b^3 (a+b x)}+\frac{B e \log (a+b x)}{b^3}",1,"-((A*b - a*B)*(b*d - a*e))/(2*b^3*(a + b*x)^2) - (b*B*d + A*b*e - 2*a*B*e)/(b^3*(a + b*x)) + (B*e*Log[a + b*x])/b^3","A",2,1,18,0.05556,1,"{77}"
1138,1,28,0,0.005178,"\int \frac{A+B x}{(a+b x)^3} \, dx","Int[(A + B*x)/(a + b*x)^3,x]","-\frac{(A+B x)^2}{2 (a+b x)^2 (A b-a B)}","-\frac{(A+B x)^2}{2 (a+b x)^2 (A b-a B)}",1,"-(A + B*x)^2/(2*(A*b - a*B)*(a + b*x)^2)","A",1,1,13,0.07692,1,"{37}"
1139,1,113,0,0.0916297,"\int \frac{A+B x}{(a+b x)^3 (d+e x)} \, dx","Int[(A + B*x)/((a + b*x)^3*(d + e*x)),x]","-\frac{A b-a B}{2 b (a+b x)^2 (b d-a e)}-\frac{B d-A e}{(a+b x) (b d-a e)^2}-\frac{e \log (a+b x) (B d-A e)}{(b d-a e)^3}+\frac{e (B d-A e) \log (d+e x)}{(b d-a e)^3}","-\frac{A b-a B}{2 b (a+b x)^2 (b d-a e)}-\frac{B d-A e}{(a+b x) (b d-a e)^2}-\frac{e \log (a+b x) (B d-A e)}{(b d-a e)^3}+\frac{e (B d-A e) \log (d+e x)}{(b d-a e)^3}",1,"-(A*b - a*B)/(2*b*(b*d - a*e)*(a + b*x)^2) - (B*d - A*e)/((b*d - a*e)^2*(a + b*x)) - (e*(B*d - A*e)*Log[a + b*x])/(b*d - a*e)^3 + (e*(B*d - A*e)*Log[d + e*x])/(b*d - a*e)^3","A",2,1,20,0.05000,1,"{77}"
1140,1,158,0,0.1588361,"\int \frac{A+B x}{(a+b x)^3 (d+e x)^2} \, dx","Int[(A + B*x)/((a + b*x)^3*(d + e*x)^2),x]","-\frac{A b-a B}{2 (a+b x)^2 (b d-a e)^2}-\frac{a B e-2 A b e+b B d}{(a+b x) (b d-a e)^3}-\frac{e (B d-A e)}{(d+e x) (b d-a e)^3}-\frac{e \log (a+b x) (a B e-3 A b e+2 b B d)}{(b d-a e)^4}+\frac{e \log (d+e x) (a B e-3 A b e+2 b B d)}{(b d-a e)^4}","-\frac{A b-a B}{2 (a+b x)^2 (b d-a e)^2}-\frac{a B e-2 A b e+b B d}{(a+b x) (b d-a e)^3}-\frac{e (B d-A e)}{(d+e x) (b d-a e)^3}-\frac{e \log (a+b x) (a B e-3 A b e+2 b B d)}{(b d-a e)^4}+\frac{e \log (d+e x) (a B e-3 A b e+2 b B d)}{(b d-a e)^4}",1,"-(A*b - a*B)/(2*(b*d - a*e)^2*(a + b*x)^2) - (b*B*d - 2*A*b*e + a*B*e)/((b*d - a*e)^3*(a + b*x)) - (e*(B*d - A*e))/((b*d - a*e)^3*(d + e*x)) - (e*(2*b*B*d - 3*A*b*e + a*B*e)*Log[a + b*x])/(b*d - a*e)^4 + (e*(2*b*B*d - 3*A*b*e + a*B*e)*Log[d + e*x])/(b*d - a*e)^4","A",2,1,20,0.05000,1,"{77}"
1141,1,199,0,0.2209753,"\int \frac{A+B x}{(a+b x)^3 (d+e x)^3} \, dx","Int[(A + B*x)/((a + b*x)^3*(d + e*x)^3),x]","-\frac{b (A b-a B)}{2 (a+b x)^2 (b d-a e)^3}-\frac{b (2 a B e-3 A b e+b B d)}{(a+b x) (b d-a e)^4}-\frac{e (a B e-3 A b e+2 b B d)}{(d+e x) (b d-a e)^4}-\frac{e (B d-A e)}{2 (d+e x)^2 (b d-a e)^3}-\frac{3 b e \log (a+b x) (a B e-2 A b e+b B d)}{(b d-a e)^5}+\frac{3 b e \log (d+e x) (a B e-2 A b e+b B d)}{(b d-a e)^5}","-\frac{b (A b-a B)}{2 (a+b x)^2 (b d-a e)^3}-\frac{b (2 a B e-3 A b e+b B d)}{(a+b x) (b d-a e)^4}-\frac{e (a B e-3 A b e+2 b B d)}{(d+e x) (b d-a e)^4}-\frac{e (B d-A e)}{2 (d+e x)^2 (b d-a e)^3}-\frac{3 b e \log (a+b x) (a B e-2 A b e+b B d)}{(b d-a e)^5}+\frac{3 b e \log (d+e x) (a B e-2 A b e+b B d)}{(b d-a e)^5}",1,"-(b*(A*b - a*B))/(2*(b*d - a*e)^3*(a + b*x)^2) - (b*(b*B*d - 3*A*b*e + 2*a*B*e))/((b*d - a*e)^4*(a + b*x)) - (e*(B*d - A*e))/(2*(b*d - a*e)^3*(d + e*x)^2) - (e*(2*b*B*d - 3*A*b*e + a*B*e))/((b*d - a*e)^4*(d + e*x)) - (3*b*e*(b*B*d - 2*A*b*e + a*B*e)*Log[a + b*x])/(b*d - a*e)^5 + (3*b*e*(b*B*d - 2*A*b*e + a*B*e)*Log[d + e*x])/(b*d - a*e)^5","A",2,1,20,0.05000,1,"{77}"
1142,1,248,0,0.3102715,"\int \frac{A+B x}{(a+b x)^3 (d+e x)^4} \, dx","Int[(A + B*x)/((a + b*x)^3*(d + e*x)^4),x]","-\frac{b^2 (3 a B e-4 A b e+b B d)}{(a+b x) (b d-a e)^5}-\frac{b^2 (A b-a B)}{2 (a+b x)^2 (b d-a e)^4}-\frac{2 b^2 e \log (a+b x) (3 a B e-5 A b e+2 b B d)}{(b d-a e)^6}+\frac{2 b^2 e \log (d+e x) (3 a B e-5 A b e+2 b B d)}{(b d-a e)^6}-\frac{3 b e (a B e-2 A b e+b B d)}{(d+e x) (b d-a e)^5}-\frac{e (a B e-3 A b e+2 b B d)}{2 (d+e x)^2 (b d-a e)^4}-\frac{e (B d-A e)}{3 (d+e x)^3 (b d-a e)^3}","-\frac{b^2 (3 a B e-4 A b e+b B d)}{(a+b x) (b d-a e)^5}-\frac{b^2 (A b-a B)}{2 (a+b x)^2 (b d-a e)^4}-\frac{2 b^2 e \log (a+b x) (3 a B e-5 A b e+2 b B d)}{(b d-a e)^6}+\frac{2 b^2 e \log (d+e x) (3 a B e-5 A b e+2 b B d)}{(b d-a e)^6}-\frac{3 b e (a B e-2 A b e+b B d)}{(d+e x) (b d-a e)^5}-\frac{e (a B e-3 A b e+2 b B d)}{2 (d+e x)^2 (b d-a e)^4}-\frac{e (B d-A e)}{3 (d+e x)^3 (b d-a e)^3}",1,"-(b^2*(A*b - a*B))/(2*(b*d - a*e)^4*(a + b*x)^2) - (b^2*(b*B*d - 4*A*b*e + 3*a*B*e))/((b*d - a*e)^5*(a + b*x)) - (e*(B*d - A*e))/(3*(b*d - a*e)^3*(d + e*x)^3) - (e*(2*b*B*d - 3*A*b*e + a*B*e))/(2*(b*d - a*e)^4*(d + e*x)^2) - (3*b*e*(b*B*d - 2*A*b*e + a*B*e))/((b*d - a*e)^5*(d + e*x)) - (2*b^2*e*(2*b*B*d - 5*A*b*e + 3*a*B*e)*Log[a + b*x])/(b*d - a*e)^6 + (2*b^2*e*(2*b*B*d - 5*A*b*e + 3*a*B*e)*Log[d + e*x])/(b*d - a*e)^6","A",2,1,20,0.05000,1,"{77}"
1143,1,34,0,0.0232042,"\int (1-2 x) (2+3 x)^8 (3+5 x) \, dx","Int[(1 - 2*x)*(2 + 3*x)^8*(3 + 5*x),x]","-\frac{10}{297} (3 x+2)^{11}+\frac{37}{270} (3 x+2)^{10}-\frac{7}{243} (3 x+2)^9","-\frac{10}{297} (3 x+2)^{11}+\frac{37}{270} (3 x+2)^{10}-\frac{7}{243} (3 x+2)^9",1,"(-7*(2 + 3*x)^9)/243 + (37*(2 + 3*x)^10)/270 - (10*(2 + 3*x)^11)/297","A",2,1,18,0.05556,1,"{77}"
1144,1,34,0,0.021603,"\int (1-2 x) (2+3 x)^7 (3+5 x) \, dx","Int[(1 - 2*x)*(2 + 3*x)^7*(3 + 5*x),x]","-\frac{1}{27} (3 x+2)^{10}+\frac{37}{243} (3 x+2)^9-\frac{7}{216} (3 x+2)^8","-\frac{1}{27} (3 x+2)^{10}+\frac{37}{243} (3 x+2)^9-\frac{7}{216} (3 x+2)^8",1,"(-7*(2 + 3*x)^8)/216 + (37*(2 + 3*x)^9)/243 - (2 + 3*x)^10/27","A",2,1,18,0.05556,1,"{77}"
1145,1,34,0,0.0193035,"\int (1-2 x) (2+3 x)^6 (3+5 x) \, dx","Int[(1 - 2*x)*(2 + 3*x)^6*(3 + 5*x),x]","-\frac{10}{243} (3 x+2)^9+\frac{37}{216} (3 x+2)^8-\frac{1}{27} (3 x+2)^7","-\frac{10}{243} (3 x+2)^9+\frac{37}{216} (3 x+2)^8-\frac{1}{27} (3 x+2)^7",1,"-(2 + 3*x)^7/27 + (37*(2 + 3*x)^8)/216 - (10*(2 + 3*x)^9)/243","A",2,1,18,0.05556,1,"{77}"
1146,1,34,0,0.0176127,"\int (1-2 x) (2+3 x)^5 (3+5 x) \, dx","Int[(1 - 2*x)*(2 + 3*x)^5*(3 + 5*x),x]","-\frac{5}{108} (3 x+2)^8+\frac{37}{189} (3 x+2)^7-\frac{7}{162} (3 x+2)^6","-\frac{5}{108} (3 x+2)^8+\frac{37}{189} (3 x+2)^7-\frac{7}{162} (3 x+2)^6",1,"(-7*(2 + 3*x)^6)/162 + (37*(2 + 3*x)^7)/189 - (5*(2 + 3*x)^8)/108","A",2,1,18,0.05556,1,"{77}"
1147,1,34,0,0.0165138,"\int (1-2 x) (2+3 x)^4 (3+5 x) \, dx","Int[(1 - 2*x)*(2 + 3*x)^4*(3 + 5*x),x]","-\frac{10}{189} (3 x+2)^7+\frac{37}{162} (3 x+2)^6-\frac{7}{135} (3 x+2)^5","-\frac{10}{189} (3 x+2)^7+\frac{37}{162} (3 x+2)^6-\frac{7}{135} (3 x+2)^5",1,"(-7*(2 + 3*x)^5)/135 + (37*(2 + 3*x)^6)/162 - (10*(2 + 3*x)^7)/189","A",2,1,18,0.05556,1,"{77}"
1148,1,34,0,0.0144945,"\int (1-2 x) (2+3 x)^3 (3+5 x) \, dx","Int[(1 - 2*x)*(2 + 3*x)^3*(3 + 5*x),x]","-\frac{5}{81} (3 x+2)^6+\frac{37}{135} (3 x+2)^5-\frac{7}{108} (3 x+2)^4","-\frac{5}{81} (3 x+2)^6+\frac{37}{135} (3 x+2)^5-\frac{7}{108} (3 x+2)^4",1,"(-7*(2 + 3*x)^4)/108 + (37*(2 + 3*x)^5)/135 - (5*(2 + 3*x)^6)/81","A",2,1,18,0.05556,1,"{77}"
1149,1,28,0,0.012096,"\int (1-2 x) (2+3 x)^2 (3+5 x) \, dx","Int[(1 - 2*x)*(2 + 3*x)^2*(3 + 5*x),x]","-18 x^5-\frac{129 x^4}{4}-\frac{25 x^3}{3}+16 x^2+12 x","-18 x^5-\frac{129 x^4}{4}-\frac{25 x^3}{3}+16 x^2+12 x",1,"12*x + 16*x^2 - (25*x^3)/3 - (129*x^4)/4 - 18*x^5","A",2,1,18,0.05556,1,"{77}"
1150,1,25,0,0.0100393,"\int (1-2 x) (2+3 x) (3+5 x) \, dx","Int[(1 - 2*x)*(2 + 3*x)*(3 + 5*x),x]","-\frac{15 x^4}{2}-\frac{23 x^3}{3}+\frac{7 x^2}{2}+6 x","-\frac{15 x^4}{2}-\frac{23 x^3}{3}+\frac{7 x^2}{2}+6 x",1,"6*x + (7*x^2)/2 - (23*x^3)/3 - (15*x^4)/2","A",2,1,16,0.06250,1,"{77}"
1151,1,18,0,0.006176,"\int (1-2 x) (3+5 x) \, dx","Int[(1 - 2*x)*(3 + 5*x),x]","-\frac{10 x^3}{3}-\frac{x^2}{2}+3 x","-\frac{10 x^3}{3}-\frac{x^2}{2}+3 x",1,"3*x - x^2/2 - (10*x^3)/3","A",2,1,11,0.09091,1,"{43}"
1152,1,23,0,0.0101749,"\int \frac{(1-2 x) (3+5 x)}{2+3 x} \, dx","Int[((1 - 2*x)*(3 + 5*x))/(2 + 3*x),x]","-\frac{5 x^2}{3}+\frac{17 x}{9}-\frac{7}{27} \log (3 x+2)","-\frac{5 x^2}{3}+\frac{17 x}{9}-\frac{7}{27} \log (3 x+2)",1,"(17*x)/9 - (5*x^2)/3 - (7*Log[2 + 3*x])/27","A",2,1,18,0.05556,1,"{77}"
1153,1,27,0,0.012331,"\int \frac{(1-2 x) (3+5 x)}{(2+3 x)^2} \, dx","Int[((1 - 2*x)*(3 + 5*x))/(2 + 3*x)^2,x]","-\frac{10 x}{9}+\frac{7}{27 (3 x+2)}+\frac{37}{27} \log (3 x+2)","-\frac{10 x}{9}+\frac{7}{27 (3 x+2)}+\frac{37}{27} \log (3 x+2)",1,"(-10*x)/9 + 7/(27*(2 + 3*x)) + (37*Log[2 + 3*x])/27","A",2,1,18,0.05556,1,"{77}"
1154,1,33,0,0.0137995,"\int \frac{(1-2 x) (3+5 x)}{(2+3 x)^3} \, dx","Int[((1 - 2*x)*(3 + 5*x))/(2 + 3*x)^3,x]","-\frac{37}{27 (3 x+2)}+\frac{7}{54 (3 x+2)^2}-\frac{10}{27} \log (3 x+2)","-\frac{37}{27 (3 x+2)}+\frac{7}{54 (3 x+2)^2}-\frac{10}{27} \log (3 x+2)",1,"7/(54*(2 + 3*x)^2) - 37/(27*(2 + 3*x)) - (10*Log[2 + 3*x])/27","A",2,1,18,0.05556,1,"{77}"
1155,1,34,0,0.0131873,"\int \frac{(1-2 x) (3+5 x)}{(2+3 x)^4} \, dx","Int[((1 - 2*x)*(3 + 5*x))/(2 + 3*x)^4,x]","\frac{10}{27 (3 x+2)}-\frac{37}{54 (3 x+2)^2}+\frac{7}{81 (3 x+2)^3}","\frac{10}{27 (3 x+2)}-\frac{37}{54 (3 x+2)^2}+\frac{7}{81 (3 x+2)^3}",1,"7/(81*(2 + 3*x)^3) - 37/(54*(2 + 3*x)^2) + 10/(27*(2 + 3*x))","A",2,1,18,0.05556,1,"{77}"
1156,1,34,0,0.01388,"\int \frac{(1-2 x) (3+5 x)}{(2+3 x)^5} \, dx","Int[((1 - 2*x)*(3 + 5*x))/(2 + 3*x)^5,x]","\frac{5}{27 (3 x+2)^2}-\frac{37}{81 (3 x+2)^3}+\frac{7}{108 (3 x+2)^4}","\frac{5}{27 (3 x+2)^2}-\frac{37}{81 (3 x+2)^3}+\frac{7}{108 (3 x+2)^4}",1,"7/(108*(2 + 3*x)^4) - 37/(81*(2 + 3*x)^3) + 5/(27*(2 + 3*x)^2)","A",2,1,18,0.05556,1,"{77}"
1157,1,34,0,0.0143678,"\int \frac{(1-2 x) (3+5 x)}{(2+3 x)^6} \, dx","Int[((1 - 2*x)*(3 + 5*x))/(2 + 3*x)^6,x]","\frac{10}{81 (3 x+2)^3}-\frac{37}{108 (3 x+2)^4}+\frac{7}{135 (3 x+2)^5}","\frac{10}{81 (3 x+2)^3}-\frac{37}{108 (3 x+2)^4}+\frac{7}{135 (3 x+2)^5}",1,"7/(135*(2 + 3*x)^5) - 37/(108*(2 + 3*x)^4) + 10/(81*(2 + 3*x)^3)","A",2,1,18,0.05556,1,"{77}"
1158,1,45,0,0.0308512,"\int (1-2 x) (2+3 x)^8 (3+5 x)^2 \, dx","Int[(1 - 2*x)*(2 + 3*x)^8*(3 + 5*x)^2,x]","-\frac{25}{486} (3 x+2)^{12}+\frac{65}{297} (3 x+2)^{11}-\frac{4}{45} (3 x+2)^{10}+\frac{7}{729} (3 x+2)^9","-\frac{25}{486} (3 x+2)^{12}+\frac{65}{297} (3 x+2)^{11}-\frac{4}{45} (3 x+2)^{10}+\frac{7}{729} (3 x+2)^9",1,"(7*(2 + 3*x)^9)/729 - (4*(2 + 3*x)^10)/45 + (65*(2 + 3*x)^11)/297 - (25*(2 + 3*x)^12)/486","A",2,1,20,0.05000,1,"{77}"
1159,1,45,0,0.0284157,"\int (1-2 x) (2+3 x)^7 (3+5 x)^2 \, dx","Int[(1 - 2*x)*(2 + 3*x)^7*(3 + 5*x)^2,x]","-\frac{50}{891} (3 x+2)^{11}+\frac{13}{54} (3 x+2)^{10}-\frac{8}{81} (3 x+2)^9+\frac{7}{648} (3 x+2)^8","-\frac{50}{891} (3 x+2)^{11}+\frac{13}{54} (3 x+2)^{10}-\frac{8}{81} (3 x+2)^9+\frac{7}{648} (3 x+2)^8",1,"(7*(2 + 3*x)^8)/648 - (8*(2 + 3*x)^9)/81 + (13*(2 + 3*x)^10)/54 - (50*(2 + 3*x)^11)/891","A",2,1,20,0.05000,1,"{77}"
1160,1,45,0,0.0242123,"\int (1-2 x) (2+3 x)^6 (3+5 x)^2 \, dx","Int[(1 - 2*x)*(2 + 3*x)^6*(3 + 5*x)^2,x]","-\frac{5}{81} (3 x+2)^{10}+\frac{65}{243} (3 x+2)^9-\frac{1}{9} (3 x+2)^8+\frac{1}{81} (3 x+2)^7","-\frac{5}{81} (3 x+2)^{10}+\frac{65}{243} (3 x+2)^9-\frac{1}{9} (3 x+2)^8+\frac{1}{81} (3 x+2)^7",1,"(2 + 3*x)^7/81 - (2 + 3*x)^8/9 + (65*(2 + 3*x)^9)/243 - (5*(2 + 3*x)^10)/81","A",2,1,20,0.05000,1,"{77}"
1161,1,45,0,0.0217211,"\int (1-2 x) (2+3 x)^5 (3+5 x)^2 \, dx","Int[(1 - 2*x)*(2 + 3*x)^5*(3 + 5*x)^2,x]","-\frac{50}{729} (3 x+2)^9+\frac{65}{216} (3 x+2)^8-\frac{8}{63} (3 x+2)^7+\frac{7}{486} (3 x+2)^6","-\frac{50}{729} (3 x+2)^9+\frac{65}{216} (3 x+2)^8-\frac{8}{63} (3 x+2)^7+\frac{7}{486} (3 x+2)^6",1,"(7*(2 + 3*x)^6)/486 - (8*(2 + 3*x)^7)/63 + (65*(2 + 3*x)^8)/216 - (50*(2 + 3*x)^9)/729","A",2,1,20,0.05000,1,"{77}"
1162,1,45,0,0.0201711,"\int (1-2 x) (2+3 x)^4 (3+5 x)^2 \, dx","Int[(1 - 2*x)*(2 + 3*x)^4*(3 + 5*x)^2,x]","-\frac{25}{324} (3 x+2)^8+\frac{65}{189} (3 x+2)^7-\frac{4}{27} (3 x+2)^6+\frac{7}{405} (3 x+2)^5","-\frac{25}{324} (3 x+2)^8+\frac{65}{189} (3 x+2)^7-\frac{4}{27} (3 x+2)^6+\frac{7}{405} (3 x+2)^5",1,"(7*(2 + 3*x)^5)/405 - (4*(2 + 3*x)^6)/27 + (65*(2 + 3*x)^7)/189 - (25*(2 + 3*x)^8)/324","A",2,1,20,0.05000,1,"{77}"
1163,1,44,0,0.0179223,"\int (1-2 x) (2+3 x)^3 (3+5 x)^2 \, dx","Int[(1 - 2*x)*(2 + 3*x)^3*(3 + 5*x)^2,x]","-\frac{1350 x^7}{7}-\frac{1215 x^6}{2}-\frac{3366 x^5}{5}-\frac{769 x^4}{4}+\frac{638 x^3}{3}+210 x^2+72 x","-\frac{1350 x^7}{7}-\frac{1215 x^6}{2}-\frac{3366 x^5}{5}-\frac{769 x^4}{4}+\frac{638 x^3}{3}+210 x^2+72 x",1,"72*x + 210*x^2 + (638*x^3)/3 - (769*x^4)/4 - (3366*x^5)/5 - (1215*x^6)/2 - (1350*x^7)/7","A",2,1,20,0.05000,1,"{77}"
1164,1,31,0,0.014905,"\int (1-2 x) (2+3 x)^2 (3+5 x)^2 \, dx","Int[(1 - 2*x)*(2 + 3*x)^2*(3 + 5*x)^2,x]","-75 x^6-183 x^5-128 x^4+\frac{85 x^3}{3}+78 x^2+36 x","-75 x^6-183 x^5-128 x^4+\frac{85 x^3}{3}+78 x^2+36 x",1,"36*x + 78*x^2 + (85*x^3)/3 - 128*x^4 - 183*x^5 - 75*x^6","A",2,1,20,0.05000,1,"{77}"
1165,1,30,0,0.0117571,"\int (1-2 x) (2+3 x) (3+5 x)^2 \, dx","Int[(1 - 2*x)*(2 + 3*x)*(3 + 5*x)^2,x]","-30 x^5-\frac{205 x^4}{4}-\frac{34 x^3}{3}+\frac{51 x^2}{2}+18 x","-30 x^5-\frac{205 x^4}{4}-\frac{34 x^3}{3}+\frac{51 x^2}{2}+18 x",1,"18*x + (51*x^2)/2 - (34*x^3)/3 - (205*x^4)/4 - 30*x^5","A",2,1,18,0.05556,1,"{77}"
1166,1,23,0,0.0087208,"\int (1-2 x) (3+5 x)^2 \, dx","Int[(1 - 2*x)*(3 + 5*x)^2,x]","-\frac{25 x^4}{2}-\frac{35 x^3}{3}+6 x^2+9 x","-\frac{25 x^4}{2}-\frac{35 x^3}{3}+6 x^2+9 x",1,"9*x + 6*x^2 - (35*x^3)/3 - (25*x^4)/2","A",2,1,13,0.07692,1,"{43}"
1167,1,30,0,0.0126983,"\int \frac{(1-2 x) (3+5 x)^2}{2+3 x} \, dx","Int[((1 - 2*x)*(3 + 5*x)^2)/(2 + 3*x),x]","-\frac{50 x^3}{9}-\frac{5 x^2}{18}+\frac{118 x}{27}+\frac{7}{81} \log (3 x+2)","-\frac{50 x^3}{9}-\frac{5 x^2}{18}+\frac{118 x}{27}+\frac{7}{81} \log (3 x+2)",1,"(118*x)/27 - (5*x^2)/18 - (50*x^3)/9 + (7*Log[2 + 3*x])/81","A",2,1,20,0.05000,1,"{77}"
1168,1,34,0,0.0153246,"\int \frac{(1-2 x) (3+5 x)^2}{(2+3 x)^2} \, dx","Int[((1 - 2*x)*(3 + 5*x)^2)/(2 + 3*x)^2,x]","-\frac{25 x^2}{9}+\frac{95 x}{27}-\frac{7}{81 (3 x+2)}-\frac{8}{9} \log (3 x+2)","-\frac{25 x^2}{9}+\frac{95 x}{27}-\frac{7}{81 (3 x+2)}-\frac{8}{9} \log (3 x+2)",1,"(95*x)/27 - (25*x^2)/9 - 7/(81*(2 + 3*x)) - (8*Log[2 + 3*x])/9","A",2,1,20,0.05000,1,"{77}"
1169,1,38,0,0.0162983,"\int \frac{(1-2 x) (3+5 x)^2}{(2+3 x)^3} \, dx","Int[((1 - 2*x)*(3 + 5*x)^2)/(2 + 3*x)^3,x]","-\frac{50 x}{27}+\frac{8}{9 (3 x+2)}-\frac{7}{162 (3 x+2)^2}+\frac{65}{27} \log (3 x+2)","-\frac{50 x}{27}+\frac{8}{9 (3 x+2)}-\frac{7}{162 (3 x+2)^2}+\frac{65}{27} \log (3 x+2)",1,"(-50*x)/27 - 7/(162*(2 + 3*x)^2) + 8/(9*(2 + 3*x)) + (65*Log[2 + 3*x])/27","A",2,1,20,0.05000,1,"{77}"
1170,1,44,0,0.0174397,"\int \frac{(1-2 x) (3+5 x)^2}{(2+3 x)^4} \, dx","Int[((1 - 2*x)*(3 + 5*x)^2)/(2 + 3*x)^4,x]","-\frac{65}{27 (3 x+2)}+\frac{4}{9 (3 x+2)^2}-\frac{7}{243 (3 x+2)^3}-\frac{50}{81} \log (3 x+2)","-\frac{65}{27 (3 x+2)}+\frac{4}{9 (3 x+2)^2}-\frac{7}{243 (3 x+2)^3}-\frac{50}{81} \log (3 x+2)",1,"-7/(243*(2 + 3*x)^3) + 4/(9*(2 + 3*x)^2) - 65/(27*(2 + 3*x)) - (50*Log[2 + 3*x])/81","A",2,1,20,0.05000,1,"{77}"
1171,1,37,0,0.006027,"\int \frac{(1-2 x) (3+5 x)^2}{(2+3 x)^5} \, dx","Int[((1 - 2*x)*(3 + 5*x)^2)/(2 + 3*x)^5,x]","\frac{3 (5 x+3)^3}{4 (3 x+2)^3}+\frac{7 (5 x+3)^3}{12 (3 x+2)^4}","\frac{3 (5 x+3)^3}{4 (3 x+2)^3}+\frac{7 (5 x+3)^3}{12 (3 x+2)^4}",1,"(7*(3 + 5*x)^3)/(12*(2 + 3*x)^4) + (3*(3 + 5*x)^3)/(4*(2 + 3*x)^3)","A",2,2,20,0.1000,1,"{78, 37}"
1172,1,45,0,0.0163552,"\int \frac{(1-2 x) (3+5 x)^2}{(2+3 x)^6} \, dx","Int[((1 - 2*x)*(3 + 5*x)^2)/(2 + 3*x)^6,x]","\frac{25}{81 (3 x+2)^2}-\frac{65}{81 (3 x+2)^3}+\frac{2}{9 (3 x+2)^4}-\frac{7}{405 (3 x+2)^5}","\frac{25}{81 (3 x+2)^2}-\frac{65}{81 (3 x+2)^3}+\frac{2}{9 (3 x+2)^4}-\frac{7}{405 (3 x+2)^5}",1,"-7/(405*(2 + 3*x)^5) + 2/(9*(2 + 3*x)^4) - 65/(81*(2 + 3*x)^3) + 25/(81*(2 + 3*x)^2)","A",2,1,20,0.05000,1,"{77}"
1173,1,45,0,0.0167643,"\int \frac{(1-2 x) (3+5 x)^2}{(2+3 x)^7} \, dx","Int[((1 - 2*x)*(3 + 5*x)^2)/(2 + 3*x)^7,x]","\frac{50}{243 (3 x+2)^3}-\frac{65}{108 (3 x+2)^4}+\frac{8}{45 (3 x+2)^5}-\frac{7}{486 (3 x+2)^6}","\frac{50}{243 (3 x+2)^3}-\frac{65}{108 (3 x+2)^4}+\frac{8}{45 (3 x+2)^5}-\frac{7}{486 (3 x+2)^6}",1,"-7/(486*(2 + 3*x)^6) + 8/(45*(2 + 3*x)^5) - 65/(108*(2 + 3*x)^4) + 50/(243*(2 + 3*x)^3)","A",2,1,20,0.05000,1,"{77}"
1174,1,45,0,0.0159551,"\int \frac{(1-2 x) (3+5 x)^2}{(2+3 x)^8} \, dx","Int[((1 - 2*x)*(3 + 5*x)^2)/(2 + 3*x)^8,x]","\frac{25}{162 (3 x+2)^4}-\frac{13}{27 (3 x+2)^5}+\frac{4}{27 (3 x+2)^6}-\frac{1}{81 (3 x+2)^7}","\frac{25}{162 (3 x+2)^4}-\frac{13}{27 (3 x+2)^5}+\frac{4}{27 (3 x+2)^6}-\frac{1}{81 (3 x+2)^7}",1,"-1/(81*(2 + 3*x)^7) + 4/(27*(2 + 3*x)^6) - 13/(27*(2 + 3*x)^5) + 25/(162*(2 + 3*x)^4)","A",2,1,20,0.05000,1,"{77}"
1175,1,56,0,0.0320184,"\int (1-2 x) (2+3 x)^8 (3+5 x)^3 \, dx","Int[(1 - 2*x)*(2 + 3*x)^8*(3 + 5*x)^3,x]","-\frac{250 (3 x+2)^{13}}{3159}+\frac{1025 (3 x+2)^{12}}{2916}-\frac{185}{891} (3 x+2)^{11}+\frac{107 (3 x+2)^{10}}{2430}-\frac{7 (3 x+2)^9}{2187}","-\frac{250 (3 x+2)^{13}}{3159}+\frac{1025 (3 x+2)^{12}}{2916}-\frac{185}{891} (3 x+2)^{11}+\frac{107 (3 x+2)^{10}}{2430}-\frac{7 (3 x+2)^9}{2187}",1,"(-7*(2 + 3*x)^9)/2187 + (107*(2 + 3*x)^10)/2430 - (185*(2 + 3*x)^11)/891 + (1025*(2 + 3*x)^12)/2916 - (250*(2 + 3*x)^13)/3159","A",2,1,20,0.05000,1,"{77}"
1176,1,56,0,0.028159,"\int (1-2 x) (2+3 x)^7 (3+5 x)^3 \, dx","Int[(1 - 2*x)*(2 + 3*x)^7*(3 + 5*x)^3,x]","-\frac{125 (3 x+2)^{12}}{1458}+\frac{1025 (3 x+2)^{11}}{2673}-\frac{37}{162} (3 x+2)^{10}+\frac{107 (3 x+2)^9}{2187}-\frac{7 (3 x+2)^8}{1944}","-\frac{125 (3 x+2)^{12}}{1458}+\frac{1025 (3 x+2)^{11}}{2673}-\frac{37}{162} (3 x+2)^{10}+\frac{107 (3 x+2)^9}{2187}-\frac{7 (3 x+2)^8}{1944}",1,"(-7*(2 + 3*x)^8)/1944 + (107*(2 + 3*x)^9)/2187 - (37*(2 + 3*x)^10)/162 + (1025*(2 + 3*x)^11)/2673 - (125*(2 + 3*x)^12)/1458","A",2,1,20,0.05000,1,"{77}"
1177,1,56,0,0.0288724,"\int (1-2 x) (2+3 x)^6 (3+5 x)^3 \, dx","Int[(1 - 2*x)*(2 + 3*x)^6*(3 + 5*x)^3,x]","-\frac{250 (3 x+2)^{11}}{2673}+\frac{205}{486} (3 x+2)^{10}-\frac{185}{729} (3 x+2)^9+\frac{107 (3 x+2)^8}{1944}-\frac{1}{243} (3 x+2)^7","-\frac{250 (3 x+2)^{11}}{2673}+\frac{205}{486} (3 x+2)^{10}-\frac{185}{729} (3 x+2)^9+\frac{107 (3 x+2)^8}{1944}-\frac{1}{243} (3 x+2)^7",1,"-(2 + 3*x)^7/243 + (107*(2 + 3*x)^8)/1944 - (185*(2 + 3*x)^9)/729 + (205*(2 + 3*x)^10)/486 - (250*(2 + 3*x)^11)/2673","A",2,1,20,0.05000,1,"{77}"
1178,1,56,0,0.0277132,"\int (1-2 x) (2+3 x)^5 (3+5 x)^3 \, dx","Int[(1 - 2*x)*(2 + 3*x)^5*(3 + 5*x)^3,x]","-\frac{25}{243} (3 x+2)^{10}+\frac{1025 (3 x+2)^9}{2187}-\frac{185}{648} (3 x+2)^8+\frac{107 (3 x+2)^7}{1701}-\frac{7 (3 x+2)^6}{1458}","-\frac{25}{243} (3 x+2)^{10}+\frac{1025 (3 x+2)^9}{2187}-\frac{185}{648} (3 x+2)^8+\frac{107 (3 x+2)^7}{1701}-\frac{7 (3 x+2)^6}{1458}",1,"(-7*(2 + 3*x)^6)/1458 + (107*(2 + 3*x)^7)/1701 - (185*(2 + 3*x)^8)/648 + (1025*(2 + 3*x)^9)/2187 - (25*(2 + 3*x)^10)/243","A",2,1,20,0.05000,1,"{77}"
1179,1,56,0,0.0234432,"\int (1-2 x) (2+3 x)^4 (3+5 x)^3 \, dx","Int[(1 - 2*x)*(2 + 3*x)^4*(3 + 5*x)^3,x]","-\frac{250 (3 x+2)^9}{2187}+\frac{1025 (3 x+2)^8}{1944}-\frac{185}{567} (3 x+2)^7+\frac{107 (3 x+2)^6}{1458}-\frac{7 (3 x+2)^5}{1215}","-\frac{250 (3 x+2)^9}{2187}+\frac{1025 (3 x+2)^8}{1944}-\frac{185}{567} (3 x+2)^7+\frac{107 (3 x+2)^6}{1458}-\frac{7 (3 x+2)^5}{1215}",1,"(-7*(2 + 3*x)^5)/1215 + (107*(2 + 3*x)^6)/1458 - (185*(2 + 3*x)^7)/567 + (1025*(2 + 3*x)^8)/1944 - (250*(2 + 3*x)^9)/2187","A",2,1,20,0.05000,1,"{77}"
1180,1,49,0,0.0192387,"\int (1-2 x) (2+3 x)^3 (3+5 x)^3 \, dx","Int[(1 - 2*x)*(2 + 3*x)^3*(3 + 5*x)^3,x]","-\frac{3375 x^8}{4}-\frac{22275 x^7}{7}-\frac{9255 x^6}{2}-\frac{13943 x^5}{5}+\frac{883 x^4}{4}+1338 x^3+810 x^2+216 x","-\frac{3375 x^8}{4}-\frac{22275 x^7}{7}-\frac{9255 x^6}{2}-\frac{13943 x^5}{5}+\frac{883 x^4}{4}+1338 x^3+810 x^2+216 x",1,"216*x + 810*x^2 + 1338*x^3 + (883*x^4)/4 - (13943*x^5)/5 - (9255*x^6)/2 - (22275*x^7)/7 - (3375*x^8)/4","A",2,1,20,0.05000,1,"{77}"
1181,1,40,0,0.0176297,"\int (1-2 x) (2+3 x)^2 (3+5 x)^3 \, dx","Int[(1 - 2*x)*(2 + 3*x)^2*(3 + 5*x)^3,x]","-\frac{2250 x^7}{7}-\frac{1975 x^6}{2}-1061 x^5-\frac{1111 x^4}{4}+345 x^3+324 x^2+108 x","-\frac{2250 x^7}{7}-\frac{1975 x^6}{2}-1061 x^5-\frac{1111 x^4}{4}+345 x^3+324 x^2+108 x",1,"108*x + 324*x^2 + 345*x^3 - (1111*x^4)/4 - 1061*x^5 - (1975*x^6)/2 - (2250*x^7)/7","A",2,1,20,0.05000,1,"{77}"
1182,1,34,0,0.0154868,"\int (1-2 x) (2+3 x) (3+5 x)^3 \, dx","Int[(1 - 2*x)*(2 + 3*x)*(3 + 5*x)^3,x]","-\frac{1}{125} (5 x+3)^6+\frac{31}{625} (5 x+3)^5+\frac{11}{500} (5 x+3)^4","-\frac{1}{125} (5 x+3)^6+\frac{31}{625} (5 x+3)^5+\frac{11}{500} (5 x+3)^4",1,"(11*(3 + 5*x)^4)/500 + (31*(3 + 5*x)^5)/625 - (3 + 5*x)^6/125","A",2,1,18,0.05556,1,"{77}"
1183,1,23,0,0.0064627,"\int (1-2 x) (3+5 x)^3 \, dx","Int[(1 - 2*x)*(3 + 5*x)^3,x]","\frac{11}{100} (5 x+3)^4-\frac{2}{125} (5 x+3)^5","\frac{11}{100} (5 x+3)^4-\frac{2}{125} (5 x+3)^5",1,"(11*(3 + 5*x)^4)/100 - (2*(3 + 5*x)^5)/125","A",2,1,13,0.07692,1,"{43}"
1184,1,37,0,0.0137501,"\int \frac{(1-2 x) (3+5 x)^3}{2+3 x} \, dx","Int[((1 - 2*x)*(3 + 5*x)^3)/(2 + 3*x),x]","-\frac{125 x^4}{6}-\frac{475 x^3}{27}+\frac{545 x^2}{54}+\frac{1097 x}{81}-\frac{7}{243} \log (3 x+2)","-\frac{125 x^4}{6}-\frac{475 x^3}{27}+\frac{545 x^2}{54}+\frac{1097 x}{81}-\frac{7}{243} \log (3 x+2)",1,"(1097*x)/81 + (545*x^2)/54 - (475*x^3)/27 - (125*x^4)/6 - (7*Log[2 + 3*x])/243","A",2,1,20,0.05000,1,"{77}"
1185,1,41,0,0.0180203,"\int \frac{(1-2 x) (3+5 x)^3}{(2+3 x)^2} \, dx","Int[((1 - 2*x)*(3 + 5*x)^3)/(2 + 3*x)^2,x]","-\frac{250 x^3}{27}+\frac{25 x^2}{54}+\frac{55 x}{9}+\frac{7}{243 (3 x+2)}+\frac{107}{243} \log (3 x+2)","-\frac{250 x^3}{27}+\frac{25 x^2}{54}+\frac{55 x}{9}+\frac{7}{243 (3 x+2)}+\frac{107}{243} \log (3 x+2)",1,"(55*x)/9 + (25*x^2)/54 - (250*x^3)/27 + 7/(243*(2 + 3*x)) + (107*Log[2 + 3*x])/243","A",2,1,20,0.05000,1,"{77}"
1186,1,45,0,0.0198191,"\int \frac{(1-2 x) (3+5 x)^3}{(2+3 x)^3} \, dx","Int[((1 - 2*x)*(3 + 5*x)^3)/(2 + 3*x)^3,x]","-\frac{125 x^2}{27}+\frac{175 x}{27}-\frac{107}{243 (3 x+2)}+\frac{7}{486 (3 x+2)^2}-\frac{185}{81} \log (3 x+2)","-\frac{125 x^2}{27}+\frac{175 x}{27}-\frac{107}{243 (3 x+2)}+\frac{7}{486 (3 x+2)^2}-\frac{185}{81} \log (3 x+2)",1,"(175*x)/27 - (125*x^2)/27 + 7/(486*(2 + 3*x)^2) - 107/(243*(2 + 3*x)) - (185*Log[2 + 3*x])/81","A",2,1,20,0.05000,1,"{77}"
1187,1,49,0,0.0200679,"\int \frac{(1-2 x) (3+5 x)^3}{(2+3 x)^4} \, dx","Int[((1 - 2*x)*(3 + 5*x)^3)/(2 + 3*x)^4,x]","-\frac{250 x}{81}+\frac{185}{81 (3 x+2)}-\frac{107}{486 (3 x+2)^2}+\frac{7}{729 (3 x+2)^3}+\frac{1025}{243} \log (3 x+2)","-\frac{250 x}{81}+\frac{185}{81 (3 x+2)}-\frac{107}{486 (3 x+2)^2}+\frac{7}{729 (3 x+2)^3}+\frac{1025}{243} \log (3 x+2)",1,"(-250*x)/81 + 7/(729*(2 + 3*x)^3) - 107/(486*(2 + 3*x)^2) + 185/(81*(2 + 3*x)) + (1025*Log[2 + 3*x])/243","A",2,1,20,0.05000,1,"{77}"
1188,1,55,0,0.0199059,"\int \frac{(1-2 x) (3+5 x)^3}{(2+3 x)^5} \, dx","Int[((1 - 2*x)*(3 + 5*x)^3)/(2 + 3*x)^5,x]","-\frac{1025}{243 (3 x+2)}+\frac{185}{162 (3 x+2)^2}-\frac{107}{729 (3 x+2)^3}+\frac{7}{972 (3 x+2)^4}-\frac{250}{243} \log (3 x+2)","-\frac{1025}{243 (3 x+2)}+\frac{185}{162 (3 x+2)^2}-\frac{107}{729 (3 x+2)^3}+\frac{7}{972 (3 x+2)^4}-\frac{250}{243} \log (3 x+2)",1,"7/(972*(2 + 3*x)^4) - 107/(729*(2 + 3*x)^3) + 185/(162*(2 + 3*x)^2) - 1025/(243*(2 + 3*x)) - (250*Log[2 + 3*x])/243","A",2,1,20,0.05000,1,"{77}"
1189,1,37,0,0.0056935,"\int \frac{(1-2 x) (3+5 x)^3}{(2+3 x)^6} \, dx","Int[((1 - 2*x)*(3 + 5*x)^3)/(2 + 3*x)^6,x]","\frac{5 (5 x+3)^4}{12 (3 x+2)^4}+\frac{7 (5 x+3)^4}{15 (3 x+2)^5}","\frac{5 (5 x+3)^4}{12 (3 x+2)^4}+\frac{7 (5 x+3)^4}{15 (3 x+2)^5}",1,"(7*(3 + 5*x)^4)/(15*(2 + 3*x)^5) + (5*(3 + 5*x)^4)/(12*(2 + 3*x)^4)","A",2,2,20,0.1000,1,"{78, 37}"
1190,1,55,0,0.0103847,"\int \frac{(1-2 x) (3+5 x)^3}{(2+3 x)^7} \, dx","Int[((1 - 2*x)*(3 + 5*x)^3)/(2 + 3*x)^7,x]","\frac{29 (5 x+3)^4}{36 (3 x+2)^4}+\frac{29 (5 x+3)^4}{45 (3 x+2)^5}+\frac{7 (5 x+3)^4}{18 (3 x+2)^6}","\frac{29 (5 x+3)^4}{36 (3 x+2)^4}+\frac{29 (5 x+3)^4}{45 (3 x+2)^5}+\frac{7 (5 x+3)^4}{18 (3 x+2)^6}",1,"(7*(3 + 5*x)^4)/(18*(2 + 3*x)^6) + (29*(3 + 5*x)^4)/(45*(2 + 3*x)^5) + (29*(3 + 5*x)^4)/(36*(2 + 3*x)^4)","A",3,3,20,0.1500,1,"{78, 45, 37}"
1191,1,56,0,0.0202537,"\int \frac{(1-2 x) (3+5 x)^3}{(2+3 x)^8} \, dx","Int[((1 - 2*x)*(3 + 5*x)^3)/(2 + 3*x)^8,x]","\frac{250}{729 (3 x+2)^3}-\frac{1025}{972 (3 x+2)^4}+\frac{37}{81 (3 x+2)^5}-\frac{107}{1458 (3 x+2)^6}+\frac{1}{243 (3 x+2)^7}","\frac{250}{729 (3 x+2)^3}-\frac{1025}{972 (3 x+2)^4}+\frac{37}{81 (3 x+2)^5}-\frac{107}{1458 (3 x+2)^6}+\frac{1}{243 (3 x+2)^7}",1,"1/(243*(2 + 3*x)^7) - 107/(1458*(2 + 3*x)^6) + 37/(81*(2 + 3*x)^5) - 1025/(972*(2 + 3*x)^4) + 250/(729*(2 + 3*x)^3)","A",2,1,20,0.05000,1,"{77}"
1192,1,18,0,0.0024369,"\int (5-2 x)^6 (2+3 x)^3 (-16+33 x) \, dx","Int[(5 - 2*x)^6*(2 + 3*x)^3*(-16 + 33*x),x]","-\frac{1}{2} (5-2 x)^7 (3 x+2)^4","-\frac{1}{2} (5-2 x)^7 (3 x+2)^4",1,"-((5 - 2*x)^7*(2 + 3*x)^4)/2","A",1,1,20,0.05000,1,"{74}"
1193,1,58,0,0.0212677,"\int \frac{(1-2 x) (2+3 x)^6}{3+5 x} \, dx","Int[((1 - 2*x)*(2 + 3*x)^6)/(3 + 5*x),x]","-\frac{1458 x^7}{35}-\frac{7047 x^6}{50}-\frac{106677 x^5}{625}-\frac{152469 x^4}{2500}+\frac{152469 x^3}{3125}+\frac{1777779 x^2}{31250}+\frac{1666663 x}{78125}+\frac{11 \log (5 x+3)}{390625}","-\frac{1458 x^7}{35}-\frac{7047 x^6}{50}-\frac{106677 x^5}{625}-\frac{152469 x^4}{2500}+\frac{152469 x^3}{3125}+\frac{1777779 x^2}{31250}+\frac{1666663 x}{78125}+\frac{11 \log (5 x+3)}{390625}",1,"(1666663*x)/78125 + (1777779*x^2)/31250 + (152469*x^3)/3125 - (152469*x^4)/2500 - (106677*x^5)/625 - (7047*x^6)/50 - (1458*x^7)/35 + (11*Log[3 + 5*x])/390625","A",2,1,20,0.05000,1,"{77}"
1194,1,51,0,0.0187147,"\int \frac{(1-2 x) (2+3 x)^5}{3+5 x} \, dx","Int[((1 - 2*x)*(2 + 3*x)^5)/(3 + 5*x),x]","-\frac{81 x^6}{5}-\frac{5427 x^5}{125}-\frac{17469 x^4}{500}+\frac{2469 x^3}{625}+\frac{127779 x^2}{6250}+\frac{166663 x}{15625}+\frac{11 \log (5 x+3)}{78125}","-\frac{81 x^6}{5}-\frac{5427 x^5}{125}-\frac{17469 x^4}{500}+\frac{2469 x^3}{625}+\frac{127779 x^2}{6250}+\frac{166663 x}{15625}+\frac{11 \log (5 x+3)}{78125}",1,"(166663*x)/15625 + (127779*x^2)/6250 + (2469*x^3)/625 - (17469*x^4)/500 - (5427*x^5)/125 - (81*x^6)/5 + (11*Log[3 + 5*x])/78125","A",2,1,20,0.05000,1,"{77}"
1195,1,44,0,0.0168164,"\int \frac{(1-2 x) (2+3 x)^4}{3+5 x} \, dx","Int[((1 - 2*x)*(2 + 3*x)^4)/(3 + 5*x),x]","-\frac{162 x^5}{25}-\frac{1269 x^4}{100}-\frac{531 x^3}{125}+\frac{7779 x^2}{1250}+\frac{16663 x}{3125}+\frac{11 \log (5 x+3)}{15625}","-\frac{162 x^5}{25}-\frac{1269 x^4}{100}-\frac{531 x^3}{125}+\frac{7779 x^2}{1250}+\frac{16663 x}{3125}+\frac{11 \log (5 x+3)}{15625}",1,"(16663*x)/3125 + (7779*x^2)/1250 - (531*x^3)/125 - (1269*x^4)/100 - (162*x^5)/25 + (11*Log[3 + 5*x])/15625","A",2,1,20,0.05000,1,"{77}"
1196,1,37,0,0.0127903,"\int \frac{(1-2 x) (2+3 x)^3}{3+5 x} \, dx","Int[((1 - 2*x)*(2 + 3*x)^3)/(3 + 5*x),x]","-\frac{27 x^4}{10}-\frac{81 x^3}{25}+\frac{279 x^2}{250}+\frac{1663 x}{625}+\frac{11 \log (5 x+3)}{3125}","-\frac{27 x^4}{10}-\frac{81 x^3}{25}+\frac{279 x^2}{250}+\frac{1663 x}{625}+\frac{11 \log (5 x+3)}{3125}",1,"(1663*x)/625 + (279*x^2)/250 - (81*x^3)/25 - (27*x^4)/10 + (11*Log[3 + 5*x])/3125","A",2,1,20,0.05000,1,"{77}"
1197,1,30,0,0.0111338,"\int \frac{(1-2 x) (2+3 x)^2}{3+5 x} \, dx","Int[((1 - 2*x)*(2 + 3*x)^2)/(3 + 5*x),x]","-\frac{6 x^3}{5}-\frac{21 x^2}{50}+\frac{163 x}{125}+\frac{11}{625} \log (5 x+3)","-\frac{6 x^3}{5}-\frac{21 x^2}{50}+\frac{163 x}{125}+\frac{11}{625} \log (5 x+3)",1,"(163*x)/125 - (21*x^2)/50 - (6*x^3)/5 + (11*Log[3 + 5*x])/625","A",2,1,20,0.05000,1,"{77}"
1198,1,23,0,0.0091311,"\int \frac{(1-2 x) (2+3 x)}{3+5 x} \, dx","Int[((1 - 2*x)*(2 + 3*x))/(3 + 5*x),x]","-\frac{3 x^2}{5}+\frac{13 x}{25}+\frac{11}{125} \log (5 x+3)","-\frac{3 x^2}{5}+\frac{13 x}{25}+\frac{11}{125} \log (5 x+3)",1,"(13*x)/25 - (3*x^2)/5 + (11*Log[3 + 5*x])/125","A",2,1,18,0.05556,1,"{77}"
1199,1,16,0,0.0071116,"\int \frac{1-2 x}{3+5 x} \, dx","Int[(1 - 2*x)/(3 + 5*x),x]","\frac{11}{25} \log (5 x+3)-\frac{2 x}{5}","\frac{11}{25} \log (5 x+3)-\frac{2 x}{5}",1,"(-2*x)/5 + (11*Log[3 + 5*x])/25","A",2,1,13,0.07692,1,"{43}"
1200,1,21,0,0.0084839,"\int \frac{1-2 x}{(2+3 x) (3+5 x)} \, dx","Int[(1 - 2*x)/((2 + 3*x)*(3 + 5*x)),x]","\frac{11}{5} \log (5 x+3)-\frac{7}{3} \log (3 x+2)","\frac{11}{5} \log (5 x+3)-\frac{7}{3} \log (3 x+2)",1,"(-7*Log[2 + 3*x])/3 + (11*Log[3 + 5*x])/5","A",2,1,20,0.05000,1,"{72}"
1201,1,28,0,0.0135171,"\int \frac{1-2 x}{(2+3 x)^2 (3+5 x)} \, dx","Int[(1 - 2*x)/((2 + 3*x)^2*(3 + 5*x)),x]","\frac{7}{3 (3 x+2)}-11 \log (3 x+2)+11 \log (5 x+3)","\frac{7}{3 (3 x+2)}-11 \log (3 x+2)+11 \log (5 x+3)",1,"7/(3*(2 + 3*x)) - 11*Log[2 + 3*x] + 11*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1202,1,37,0,0.015847,"\int \frac{1-2 x}{(2+3 x)^3 (3+5 x)} \, dx","Int[(1 - 2*x)/((2 + 3*x)^3*(3 + 5*x)),x]","\frac{11}{3 x+2}+\frac{7}{6 (3 x+2)^2}-55 \log (3 x+2)+55 \log (5 x+3)","\frac{11}{3 x+2}+\frac{7}{6 (3 x+2)^2}-55 \log (3 x+2)+55 \log (5 x+3)",1,"7/(6*(2 + 3*x)^2) + 11/(2 + 3*x) - 55*Log[2 + 3*x] + 55*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1203,1,48,0,0.0191768,"\int \frac{1-2 x}{(2+3 x)^4 (3+5 x)} \, dx","Int[(1 - 2*x)/((2 + 3*x)^4*(3 + 5*x)),x]","\frac{55}{3 x+2}+\frac{11}{2 (3 x+2)^2}+\frac{7}{9 (3 x+2)^3}-275 \log (3 x+2)+275 \log (5 x+3)","\frac{55}{3 x+2}+\frac{11}{2 (3 x+2)^2}+\frac{7}{9 (3 x+2)^3}-275 \log (3 x+2)+275 \log (5 x+3)",1,"7/(9*(2 + 3*x)^3) + 11/(2*(2 + 3*x)^2) + 55/(2 + 3*x) - 275*Log[2 + 3*x] + 275*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1204,1,59,0,0.0218472,"\int \frac{1-2 x}{(2+3 x)^5 (3+5 x)} \, dx","Int[(1 - 2*x)/((2 + 3*x)^5*(3 + 5*x)),x]","\frac{275}{3 x+2}+\frac{55}{2 (3 x+2)^2}+\frac{11}{3 (3 x+2)^3}+\frac{7}{12 (3 x+2)^4}-1375 \log (3 x+2)+1375 \log (5 x+3)","\frac{275}{3 x+2}+\frac{55}{2 (3 x+2)^2}+\frac{11}{3 (3 x+2)^3}+\frac{7}{12 (3 x+2)^4}-1375 \log (3 x+2)+1375 \log (5 x+3)",1,"7/(12*(2 + 3*x)^4) + 11/(3*(2 + 3*x)^3) + 55/(2*(2 + 3*x)^2) + 275/(2 + 3*x) - 1375*Log[2 + 3*x] + 1375*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1205,1,70,0,0.025152,"\int \frac{1-2 x}{(2+3 x)^6 (3+5 x)} \, dx","Int[(1 - 2*x)/((2 + 3*x)^6*(3 + 5*x)),x]","\frac{1375}{3 x+2}+\frac{275}{2 (3 x+2)^2}+\frac{55}{3 (3 x+2)^3}+\frac{11}{4 (3 x+2)^4}+\frac{7}{15 (3 x+2)^5}-6875 \log (3 x+2)+6875 \log (5 x+3)","\frac{1375}{3 x+2}+\frac{275}{2 (3 x+2)^2}+\frac{55}{3 (3 x+2)^3}+\frac{11}{4 (3 x+2)^4}+\frac{7}{15 (3 x+2)^5}-6875 \log (3 x+2)+6875 \log (5 x+3)",1,"7/(15*(2 + 3*x)^5) + 11/(4*(2 + 3*x)^4) + 55/(3*(2 + 3*x)^3) + 275/(2*(2 + 3*x)^2) + 1375/(2 + 3*x) - 6875*Log[2 + 3*x] + 6875*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1206,1,81,0,0.0287595,"\int \frac{1-2 x}{(2+3 x)^7 (3+5 x)} \, dx","Int[(1 - 2*x)/((2 + 3*x)^7*(3 + 5*x)),x]","\frac{6875}{3 x+2}+\frac{1375}{2 (3 x+2)^2}+\frac{275}{3 (3 x+2)^3}+\frac{55}{4 (3 x+2)^4}+\frac{11}{5 (3 x+2)^5}+\frac{7}{18 (3 x+2)^6}-34375 \log (3 x+2)+34375 \log (5 x+3)","\frac{6875}{3 x+2}+\frac{1375}{2 (3 x+2)^2}+\frac{275}{3 (3 x+2)^3}+\frac{55}{4 (3 x+2)^4}+\frac{11}{5 (3 x+2)^5}+\frac{7}{18 (3 x+2)^6}-34375 \log (3 x+2)+34375 \log (5 x+3)",1,"7/(18*(2 + 3*x)^6) + 11/(5*(2 + 3*x)^5) + 55/(4*(2 + 3*x)^4) + 275/(3*(2 + 3*x)^3) + 1375/(2*(2 + 3*x)^2) + 6875/(2 + 3*x) - 34375*Log[2 + 3*x] + 34375*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1207,1,69,0,0.0371761,"\int \frac{(1-2 x) (2+3 x)^7}{(3+5 x)^2} \, dx","Int[((1 - 2*x)*(2 + 3*x)^7)/(3 + 5*x)^2,x]","-\frac{4374 x^7}{175}-\frac{21627 x^6}{250}-\frac{336798 x^5}{3125}-\frac{513783 x^4}{12500}+\frac{92592 x^3}{3125}+\frac{5740767 x^2}{156250}+\frac{5555478 x}{390625}-\frac{11}{1953125 (5 x+3)}+\frac{229 \log (5 x+3)}{1953125}","-\frac{4374 x^7}{175}-\frac{21627 x^6}{250}-\frac{336798 x^5}{3125}-\frac{513783 x^4}{12500}+\frac{92592 x^3}{3125}+\frac{5740767 x^2}{156250}+\frac{5555478 x}{390625}-\frac{11}{1953125 (5 x+3)}+\frac{229 \log (5 x+3)}{1953125}",1,"(5555478*x)/390625 + (5740767*x^2)/156250 + (92592*x^3)/3125 - (513783*x^4)/12500 - (336798*x^5)/3125 - (21627*x^6)/250 - (4374*x^7)/175 - 11/(1953125*(3 + 5*x)) + (229*Log[3 + 5*x])/1953125","A",2,1,20,0.05000,1,"{77}"
1208,1,62,0,0.0293556,"\int \frac{(1-2 x) (2+3 x)^6}{(3+5 x)^2} \, dx","Int[((1 - 2*x)*(2 + 3*x)^6)/(3 + 5*x)^2,x]","-\frac{243 x^6}{25}-\frac{16767 x^5}{625}-\frac{14094 x^4}{625}+\frac{5553 x^3}{3125}+\frac{40743 x^2}{3125}+\frac{555489 x}{78125}-\frac{11}{390625 (5 x+3)}+\frac{196 \log (5 x+3)}{390625}","-\frac{243 x^6}{25}-\frac{16767 x^5}{625}-\frac{14094 x^4}{625}+\frac{5553 x^3}{3125}+\frac{40743 x^2}{3125}+\frac{555489 x}{78125}-\frac{11}{390625 (5 x+3)}+\frac{196 \log (5 x+3)}{390625}",1,"(555489*x)/78125 + (40743*x^2)/3125 + (5553*x^3)/3125 - (14094*x^4)/625 - (16767*x^5)/625 - (243*x^6)/25 - 11/(390625*(3 + 5*x)) + (196*Log[3 + 5*x])/390625","A",2,1,20,0.05000,1,"{77}"
1209,1,55,0,0.025099,"\int \frac{(1-2 x) (2+3 x)^5}{(3+5 x)^2} \, dx","Int[((1 - 2*x)*(2 + 3*x)^5)/(3 + 5*x)^2,x]","-\frac{486 x^5}{125}-\frac{3969 x^4}{500}-\frac{1854 x^3}{625}+\frac{24093 x^2}{6250}+\frac{444 x}{125}-\frac{11}{78125 (5 x+3)}+\frac{163 \log (5 x+3)}{78125}","-\frac{486 x^5}{125}-\frac{3969 x^4}{500}-\frac{1854 x^3}{625}+\frac{24093 x^2}{6250}+\frac{444 x}{125}-\frac{11}{78125 (5 x+3)}+\frac{163 \log (5 x+3)}{78125}",1,"(444*x)/125 + (24093*x^2)/6250 - (1854*x^3)/625 - (3969*x^4)/500 - (486*x^5)/125 - 11/(78125*(3 + 5*x)) + (163*Log[3 + 5*x])/78125","A",2,1,20,0.05000,1,"{77}"
1210,1,48,0,0.0219556,"\int \frac{(1-2 x) (2+3 x)^4}{(3+5 x)^2} \, dx","Int[((1 - 2*x)*(2 + 3*x)^4)/(3 + 5*x)^2,x]","-\frac{81 x^4}{50}-\frac{261 x^3}{125}+\frac{378 x^2}{625}+\frac{5511 x}{3125}-\frac{11}{15625 (5 x+3)}+\frac{26 \log (5 x+3)}{3125}","-\frac{81 x^4}{50}-\frac{261 x^3}{125}+\frac{378 x^2}{625}+\frac{5511 x}{3125}-\frac{11}{15625 (5 x+3)}+\frac{26 \log (5 x+3)}{3125}",1,"(5511*x)/3125 + (378*x^2)/625 - (261*x^3)/125 - (81*x^4)/50 - 11/(15625*(3 + 5*x)) + (26*Log[3 + 5*x])/3125","A",2,1,20,0.05000,1,"{77}"
1211,1,41,0,0.0186173,"\int \frac{(1-2 x) (2+3 x)^3}{(3+5 x)^2} \, dx","Int[((1 - 2*x)*(2 + 3*x)^3)/(3 + 5*x)^2,x]","-\frac{18 x^3}{25}-\frac{81 x^2}{250}+\frac{522 x}{625}-\frac{11}{3125 (5 x+3)}+\frac{97 \log (5 x+3)}{3125}","-\frac{18 x^3}{25}-\frac{81 x^2}{250}+\frac{522 x}{625}-\frac{11}{3125 (5 x+3)}+\frac{97 \log (5 x+3)}{3125}",1,"(522*x)/625 - (81*x^2)/250 - (18*x^3)/25 - 11/(3125*(3 + 5*x)) + (97*Log[3 + 5*x])/3125","A",2,1,20,0.05000,1,"{77}"
1212,1,34,0,0.0148097,"\int \frac{(1-2 x) (2+3 x)^2}{(3+5 x)^2} \, dx","Int[((1 - 2*x)*(2 + 3*x)^2)/(3 + 5*x)^2,x]","-\frac{9 x^2}{25}+\frac{33 x}{125}-\frac{11}{625 (5 x+3)}+\frac{64}{625} \log (5 x+3)","-\frac{9 x^2}{25}+\frac{33 x}{125}-\frac{11}{625 (5 x+3)}+\frac{64}{625} \log (5 x+3)",1,"(33*x)/125 - (9*x^2)/25 - 11/(625*(3 + 5*x)) + (64*Log[3 + 5*x])/625","A",2,1,20,0.05000,1,"{77}"
1213,1,27,0,0.0116215,"\int \frac{(1-2 x) (2+3 x)}{(3+5 x)^2} \, dx","Int[((1 - 2*x)*(2 + 3*x))/(3 + 5*x)^2,x]","-\frac{6 x}{25}-\frac{11}{125 (5 x+3)}+\frac{31}{125} \log (5 x+3)","-\frac{6 x}{25}-\frac{11}{125 (5 x+3)}+\frac{31}{125} \log (5 x+3)",1,"(-6*x)/25 - 11/(125*(3 + 5*x)) + (31*Log[3 + 5*x])/125","A",2,1,18,0.05556,1,"{77}"
1214,1,22,0,0.0080255,"\int \frac{1-2 x}{(3+5 x)^2} \, dx","Int[(1 - 2*x)/(3 + 5*x)^2,x]","-\frac{11}{25 (5 x+3)}-\frac{2}{25} \log (5 x+3)","-\frac{11}{25 (5 x+3)}-\frac{2}{25} \log (5 x+3)",1,"-11/(25*(3 + 5*x)) - (2*Log[3 + 5*x])/25","A",2,1,13,0.07692,1,"{43}"
1215,1,28,0,0.0127324,"\int \frac{1-2 x}{(2+3 x) (3+5 x)^2} \, dx","Int[(1 - 2*x)/((2 + 3*x)*(3 + 5*x)^2),x]","-\frac{11}{5 (5 x+3)}+7 \log (3 x+2)-7 \log (5 x+3)","-\frac{11}{5 (5 x+3)}+7 \log (3 x+2)-7 \log (5 x+3)",1,"-11/(5*(3 + 5*x)) + 7*Log[2 + 3*x] - 7*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1216,1,35,0,0.0163061,"\int \frac{1-2 x}{(2+3 x)^2 (3+5 x)^2} \, dx","Int[(1 - 2*x)/((2 + 3*x)^2*(3 + 5*x)^2),x]","-\frac{7}{3 x+2}-\frac{11}{5 x+3}+68 \log (3 x+2)-68 \log (5 x+3)","-\frac{7}{3 x+2}-\frac{11}{5 x+3}+68 \log (3 x+2)-68 \log (5 x+3)",1,"-7/(2 + 3*x) - 11/(3 + 5*x) + 68*Log[2 + 3*x] - 68*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1217,1,46,0,0.0207971,"\int \frac{1-2 x}{(2+3 x)^3 (3+5 x)^2} \, dx","Int[(1 - 2*x)/((2 + 3*x)^3*(3 + 5*x)^2),x]","-\frac{68}{3 x+2}-\frac{55}{5 x+3}-\frac{7}{2 (3 x+2)^2}+505 \log (3 x+2)-505 \log (5 x+3)","-\frac{68}{3 x+2}-\frac{55}{5 x+3}-\frac{7}{2 (3 x+2)^2}+505 \log (3 x+2)-505 \log (5 x+3)",1,"-7/(2*(2 + 3*x)^2) - 68/(2 + 3*x) - 55/(3 + 5*x) + 505*Log[2 + 3*x] - 505*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1218,1,55,0,0.0251528,"\int \frac{1-2 x}{(2+3 x)^4 (3+5 x)^2} \, dx","Int[(1 - 2*x)/((2 + 3*x)^4*(3 + 5*x)^2),x]","-\frac{505}{3 x+2}-\frac{275}{5 x+3}-\frac{34}{(3 x+2)^2}-\frac{7}{3 (3 x+2)^3}+3350 \log (3 x+2)-3350 \log (5 x+3)","-\frac{505}{3 x+2}-\frac{275}{5 x+3}-\frac{34}{(3 x+2)^2}-\frac{7}{3 (3 x+2)^3}+3350 \log (3 x+2)-3350 \log (5 x+3)",1,"-7/(3*(2 + 3*x)^3) - 34/(2 + 3*x)^2 - 505/(2 + 3*x) - 275/(3 + 5*x) + 3350*Log[2 + 3*x] - 3350*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1219,1,68,0,0.0308254,"\int \frac{1-2 x}{(2+3 x)^5 (3+5 x)^2} \, dx","Int[(1 - 2*x)/((2 + 3*x)^5*(3 + 5*x)^2),x]","-\frac{3350}{3 x+2}-\frac{1375}{5 x+3}-\frac{505}{2 (3 x+2)^2}-\frac{68}{3 (3 x+2)^3}-\frac{7}{4 (3 x+2)^4}+20875 \log (3 x+2)-20875 \log (5 x+3)","-\frac{3350}{3 x+2}-\frac{1375}{5 x+3}-\frac{505}{2 (3 x+2)^2}-\frac{68}{3 (3 x+2)^3}-\frac{7}{4 (3 x+2)^4}+20875 \log (3 x+2)-20875 \log (5 x+3)",1,"-7/(4*(2 + 3*x)^4) - 68/(3*(2 + 3*x)^3) - 505/(2*(2 + 3*x)^2) - 3350/(2 + 3*x) - 1375/(3 + 5*x) + 20875*Log[2 + 3*x] - 20875*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1220,1,75,0,0.036878,"\int \frac{1-2 x}{(2+3 x)^6 (3+5 x)^2} \, dx","Int[(1 - 2*x)/((2 + 3*x)^6*(3 + 5*x)^2),x]","-\frac{20875}{3 x+2}-\frac{6875}{5 x+3}-\frac{1675}{(3 x+2)^2}-\frac{505}{3 (3 x+2)^3}-\frac{17}{(3 x+2)^4}-\frac{7}{5 (3 x+2)^5}+125000 \log (3 x+2)-125000 \log (5 x+3)","-\frac{20875}{3 x+2}-\frac{6875}{5 x+3}-\frac{1675}{(3 x+2)^2}-\frac{505}{3 (3 x+2)^3}-\frac{17}{(3 x+2)^4}-\frac{7}{5 (3 x+2)^5}+125000 \log (3 x+2)-125000 \log (5 x+3)",1,"-7/(5*(2 + 3*x)^5) - 17/(2 + 3*x)^4 - 505/(3*(2 + 3*x)^3) - 1675/(2 + 3*x)^2 - 20875/(2 + 3*x) - 6875/(3 + 5*x) + 125000*Log[2 + 3*x] - 125000*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1221,1,90,0,0.0446349,"\int \frac{1-2 x}{(2+3 x)^7 (3+5 x)^2} \, dx","Int[(1 - 2*x)/((2 + 3*x)^7*(3 + 5*x)^2),x]","-\frac{125000}{3 x+2}-\frac{34375}{5 x+3}-\frac{20875}{2 (3 x+2)^2}-\frac{3350}{3 (3 x+2)^3}-\frac{505}{4 (3 x+2)^4}-\frac{68}{5 (3 x+2)^5}-\frac{7}{6 (3 x+2)^6}+728125 \log (3 x+2)-728125 \log (5 x+3)","-\frac{125000}{3 x+2}-\frac{34375}{5 x+3}-\frac{20875}{2 (3 x+2)^2}-\frac{3350}{3 (3 x+2)^3}-\frac{505}{4 (3 x+2)^4}-\frac{68}{5 (3 x+2)^5}-\frac{7}{6 (3 x+2)^6}+728125 \log (3 x+2)-728125 \log (5 x+3)",1,"-7/(6*(2 + 3*x)^6) - 68/(5*(2 + 3*x)^5) - 505/(4*(2 + 3*x)^4) - 3350/(3*(2 + 3*x)^3) - 20875/(2*(2 + 3*x)^2) - 125000/(2 + 3*x) - 34375/(3 + 5*x) + 728125*Log[2 + 3*x] - 728125*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1222,1,73,0,0.040904,"\int \frac{(1-2 x) (2+3 x)^7}{(3+5 x)^3} \, dx","Int[((1 - 2*x)*(2 + 3*x)^7)/(3 + 5*x)^3,x]","-\frac{729 x^6}{125}-\frac{51759 x^5}{3125}-\frac{181521 x^4}{12500}+\frac{2052 x^3}{3125}+\frac{129654 x^2}{15625}+\frac{1851147 x}{390625}-\frac{229}{1953125 (5 x+3)}-\frac{11}{3906250 (5 x+3)^2}+\frac{2037 \log (5 x+3)}{1953125}","-\frac{729 x^6}{125}-\frac{51759 x^5}{3125}-\frac{181521 x^4}{12500}+\frac{2052 x^3}{3125}+\frac{129654 x^2}{15625}+\frac{1851147 x}{390625}-\frac{229}{1953125 (5 x+3)}-\frac{11}{3906250 (5 x+3)^2}+\frac{2037 \log (5 x+3)}{1953125}",1,"(1851147*x)/390625 + (129654*x^2)/15625 + (2052*x^3)/3125 - (181521*x^4)/12500 - (51759*x^5)/3125 - (729*x^6)/125 - 11/(3906250*(3 + 5*x)^2) - 229/(1953125*(3 + 5*x)) + (2037*Log[3 + 5*x])/1953125","A",2,1,20,0.05000,1,"{77}"
1223,1,66,0,0.0331897,"\int \frac{(1-2 x) (2+3 x)^6}{(3+5 x)^3} \, dx","Int[((1 - 2*x)*(2 + 3*x)^6)/(3 + 5*x)^3,x]","-\frac{1458 x^5}{625}-\frac{12393 x^4}{2500}-\frac{6399 x^3}{3125}+\frac{297 x^2}{125}+\frac{36936 x}{15625}-\frac{196}{390625 (5 x+3)}-\frac{11}{781250 (5 x+3)^2}+\frac{1449 \log (5 x+3)}{390625}","-\frac{1458 x^5}{625}-\frac{12393 x^4}{2500}-\frac{6399 x^3}{3125}+\frac{297 x^2}{125}+\frac{36936 x}{15625}-\frac{196}{390625 (5 x+3)}-\frac{11}{781250 (5 x+3)^2}+\frac{1449 \log (5 x+3)}{390625}",1,"(36936*x)/15625 + (297*x^2)/125 - (6399*x^3)/3125 - (12393*x^4)/2500 - (1458*x^5)/625 - 11/(781250*(3 + 5*x)^2) - 196/(390625*(3 + 5*x)) + (1449*Log[3 + 5*x])/390625","A",2,1,20,0.05000,1,"{77}"
1224,1,59,0,0.0268993,"\int \frac{(1-2 x) (2+3 x)^5}{(3+5 x)^3} \, dx","Int[((1 - 2*x)*(2 + 3*x)^5)/(3 + 5*x)^3,x]","-\frac{243 x^4}{250}-\frac{837 x^3}{625}+\frac{1971 x^2}{6250}+\frac{3636 x}{3125}-\frac{163}{78125 (5 x+3)}-\frac{11}{156250 (5 x+3)^2}+\frac{192 \log (5 x+3)}{15625}","-\frac{243 x^4}{250}-\frac{837 x^3}{625}+\frac{1971 x^2}{6250}+\frac{3636 x}{3125}-\frac{163}{78125 (5 x+3)}-\frac{11}{156250 (5 x+3)^2}+\frac{192 \log (5 x+3)}{15625}",1,"(3636*x)/3125 + (1971*x^2)/6250 - (837*x^3)/625 - (243*x^4)/250 - 11/(156250*(3 + 5*x)^2) - 163/(78125*(3 + 5*x)) + (192*Log[3 + 5*x])/15625","A",2,1,20,0.05000,1,"{77}"
1225,1,52,0,0.0219653,"\int \frac{(1-2 x) (2+3 x)^4}{(3+5 x)^3} \, dx","Int[((1 - 2*x)*(2 + 3*x)^4)/(3 + 5*x)^3,x]","-\frac{54 x^3}{125}-\frac{297 x^2}{1250}+\frac{1647 x}{3125}-\frac{26}{3125 (5 x+3)}-\frac{11}{31250 (5 x+3)^2}+\frac{114 \log (5 x+3)}{3125}","-\frac{54 x^3}{125}-\frac{297 x^2}{1250}+\frac{1647 x}{3125}-\frac{26}{3125 (5 x+3)}-\frac{11}{31250 (5 x+3)^2}+\frac{114 \log (5 x+3)}{3125}",1,"(1647*x)/3125 - (297*x^2)/1250 - (54*x^3)/125 - 11/(31250*(3 + 5*x)^2) - 26/(3125*(3 + 5*x)) + (114*Log[3 + 5*x])/3125","A",2,1,20,0.05000,1,"{77}"
1226,1,45,0,0.0203152,"\int \frac{(1-2 x) (2+3 x)^3}{(3+5 x)^3} \, dx","Int[((1 - 2*x)*(2 + 3*x)^3)/(3 + 5*x)^3,x]","-\frac{27 x^2}{125}+\frac{81 x}{625}-\frac{97}{3125 (5 x+3)}-\frac{11}{6250 (5 x+3)^2}+\frac{279 \log (5 x+3)}{3125}","-\frac{27 x^2}{125}+\frac{81 x}{625}-\frac{97}{3125 (5 x+3)}-\frac{11}{6250 (5 x+3)^2}+\frac{279 \log (5 x+3)}{3125}",1,"(81*x)/625 - (27*x^2)/125 - 11/(6250*(3 + 5*x)^2) - 97/(3125*(3 + 5*x)) + (279*Log[3 + 5*x])/3125","A",2,1,20,0.05000,1,"{77}"
1227,1,38,0,0.0162943,"\int \frac{(1-2 x) (2+3 x)^2}{(3+5 x)^3} \, dx","Int[((1 - 2*x)*(2 + 3*x)^2)/(3 + 5*x)^3,x]","-\frac{18 x}{125}-\frac{64}{625 (5 x+3)}-\frac{11}{1250 (5 x+3)^2}+\frac{87}{625} \log (5 x+3)","-\frac{18 x}{125}-\frac{64}{625 (5 x+3)}-\frac{11}{1250 (5 x+3)^2}+\frac{87}{625} \log (5 x+3)",1,"(-18*x)/125 - 11/(1250*(3 + 5*x)^2) - 64/(625*(3 + 5*x)) + (87*Log[3 + 5*x])/625","A",2,1,20,0.05000,1,"{77}"
1228,1,33,0,0.0125276,"\int \frac{(1-2 x) (2+3 x)}{(3+5 x)^3} \, dx","Int[((1 - 2*x)*(2 + 3*x))/(3 + 5*x)^3,x]","-\frac{31}{125 (5 x+3)}-\frac{11}{250 (5 x+3)^2}-\frac{6}{125} \log (5 x+3)","-\frac{31}{125 (5 x+3)}-\frac{11}{250 (5 x+3)^2}-\frac{6}{125} \log (5 x+3)",1,"-11/(250*(3 + 5*x)^2) - 31/(125*(3 + 5*x)) - (6*Log[3 + 5*x])/125","A",2,1,18,0.05556,1,"{77}"
1229,1,18,0,0.0020572,"\int \frac{1-2 x}{(3+5 x)^3} \, dx","Int[(1 - 2*x)/(3 + 5*x)^3,x]","-\frac{(1-2 x)^2}{22 (5 x+3)^2}","-\frac{(1-2 x)^2}{22 (5 x+3)^2}",1,"-(1 - 2*x)^2/(22*(3 + 5*x)^2)","A",1,1,13,0.07692,1,"{37}"
1230,1,37,0,0.0168432,"\int \frac{1-2 x}{(2+3 x) (3+5 x)^3} \, dx","Int[(1 - 2*x)/((2 + 3*x)*(3 + 5*x)^3),x]","\frac{7}{5 x+3}-\frac{11}{10 (5 x+3)^2}-21 \log (3 x+2)+21 \log (5 x+3)","\frac{7}{5 x+3}-\frac{11}{10 (5 x+3)^2}-21 \log (3 x+2)+21 \log (5 x+3)",1,"-11/(10*(3 + 5*x)^2) + 7/(3 + 5*x) - 21*Log[2 + 3*x] + 21*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1231,1,46,0,0.0210872,"\int \frac{1-2 x}{(2+3 x)^2 (3+5 x)^3} \, dx","Int[(1 - 2*x)/((2 + 3*x)^2*(3 + 5*x)^3),x]","\frac{21}{3 x+2}+\frac{68}{5 x+3}-\frac{11}{2 (5 x+3)^2}-309 \log (3 x+2)+309 \log (5 x+3)","\frac{21}{3 x+2}+\frac{68}{5 x+3}-\frac{11}{2 (5 x+3)^2}-309 \log (3 x+2)+309 \log (5 x+3)",1,"21/(2 + 3*x) - 11/(2*(3 + 5*x)^2) + 68/(3 + 5*x) - 309*Log[2 + 3*x] + 309*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1232,1,57,0,0.0260223,"\int \frac{1-2 x}{(2+3 x)^3 (3+5 x)^3} \, dx","Int[(1 - 2*x)/((2 + 3*x)^3*(3 + 5*x)^3),x]","\frac{309}{3 x+2}+\frac{505}{5 x+3}+\frac{21}{2 (3 x+2)^2}-\frac{55}{2 (5 x+3)^2}-3060 \log (3 x+2)+3060 \log (5 x+3)","\frac{309}{3 x+2}+\frac{505}{5 x+3}+\frac{21}{2 (3 x+2)^2}-\frac{55}{2 (5 x+3)^2}-3060 \log (3 x+2)+3060 \log (5 x+3)",1,"21/(2*(2 + 3*x)^2) + 309/(2 + 3*x) - 55/(2*(3 + 5*x)^2) + 505/(3 + 5*x) - 3060*Log[2 + 3*x] + 3060*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1233,1,66,0,0.0310509,"\int \frac{1-2 x}{(2+3 x)^4 (3+5 x)^3} \, dx","Int[(1 - 2*x)/((2 + 3*x)^4*(3 + 5*x)^3),x]","\frac{3060}{3 x+2}+\frac{3350}{5 x+3}+\frac{309}{2 (3 x+2)^2}-\frac{275}{2 (5 x+3)^2}+\frac{7}{(3 x+2)^3}-25350 \log (3 x+2)+25350 \log (5 x+3)","\frac{3060}{3 x+2}+\frac{3350}{5 x+3}+\frac{309}{2 (3 x+2)^2}-\frac{275}{2 (5 x+3)^2}+\frac{7}{(3 x+2)^3}-25350 \log (3 x+2)+25350 \log (5 x+3)",1,"7/(2 + 3*x)^3 + 309/(2*(2 + 3*x)^2) + 3060/(2 + 3*x) - 275/(2*(3 + 5*x)^2) + 3350/(3 + 5*x) - 25350*Log[2 + 3*x] + 25350*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1234,1,75,0,0.0382755,"\int \frac{1-2 x}{(2+3 x)^5 (3+5 x)^3} \, dx","Int[(1 - 2*x)/((2 + 3*x)^5*(3 + 5*x)^3),x]","\frac{25350}{3 x+2}+\frac{20875}{5 x+3}+\frac{1530}{(3 x+2)^2}-\frac{1375}{2 (5 x+3)^2}+\frac{103}{(3 x+2)^3}+\frac{21}{4 (3 x+2)^4}-189375 \log (3 x+2)+189375 \log (5 x+3)","\frac{25350}{3 x+2}+\frac{20875}{5 x+3}+\frac{1530}{(3 x+2)^2}-\frac{1375}{2 (5 x+3)^2}+\frac{103}{(3 x+2)^3}+\frac{21}{4 (3 x+2)^4}-189375 \log (3 x+2)+189375 \log (5 x+3)",1,"21/(4*(2 + 3*x)^4) + 103/(2 + 3*x)^3 + 1530/(2 + 3*x)^2 + 25350/(2 + 3*x) - 1375/(2*(3 + 5*x)^2) + 20875/(3 + 5*x) - 189375*Log[2 + 3*x] + 189375*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1235,1,86,0,0.0460292,"\int \frac{1-2 x}{(2+3 x)^6 (3+5 x)^3} \, dx","Int[(1 - 2*x)/((2 + 3*x)^6*(3 + 5*x)^3),x]","\frac{189375}{3 x+2}+\frac{125000}{5 x+3}+\frac{12675}{(3 x+2)^2}-\frac{6875}{2 (5 x+3)^2}+\frac{1020}{(3 x+2)^3}+\frac{309}{4 (3 x+2)^4}+\frac{21}{5 (3 x+2)^5}-1321875 \log (3 x+2)+1321875 \log (5 x+3)","\frac{189375}{3 x+2}+\frac{125000}{5 x+3}+\frac{12675}{(3 x+2)^2}-\frac{6875}{2 (5 x+3)^2}+\frac{1020}{(3 x+2)^3}+\frac{309}{4 (3 x+2)^4}+\frac{21}{5 (3 x+2)^5}-1321875 \log (3 x+2)+1321875 \log (5 x+3)",1,"21/(5*(2 + 3*x)^5) + 309/(4*(2 + 3*x)^4) + 1020/(2 + 3*x)^3 + 12675/(2 + 3*x)^2 + 189375/(2 + 3*x) - 6875/(2*(3 + 5*x)^2) + 125000/(3 + 5*x) - 1321875*Log[2 + 3*x] + 1321875*Log[3 + 5*x]","A",2,1,20,0.05000,1,"{77}"
1236,1,45,0,0.0262959,"\int (1-2 x)^2 (2+3 x)^8 (3+5 x) \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^8*(3 + 5*x),x]","\frac{5}{243} (3 x+2)^{12}-\frac{16}{99} (3 x+2)^{11}+\frac{91}{270} (3 x+2)^{10}-\frac{49}{729} (3 x+2)^9","\frac{5}{243} (3 x+2)^{12}-\frac{16}{99} (3 x+2)^{11}+\frac{91}{270} (3 x+2)^{10}-\frac{49}{729} (3 x+2)^9",1,"(-49*(2 + 3*x)^9)/729 + (91*(2 + 3*x)^10)/270 - (16*(2 + 3*x)^11)/99 + (5*(2 + 3*x)^12)/243","A",2,1,20,0.05000,1,"{77}"
1237,1,45,0,0.0250579,"\int (1-2 x)^2 (2+3 x)^7 (3+5 x) \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^7*(3 + 5*x),x]","\frac{20}{891} (3 x+2)^{11}-\frac{8}{45} (3 x+2)^{10}+\frac{91}{243} (3 x+2)^9-\frac{49}{648} (3 x+2)^8","\frac{20}{891} (3 x+2)^{11}-\frac{8}{45} (3 x+2)^{10}+\frac{91}{243} (3 x+2)^9-\frac{49}{648} (3 x+2)^8",1,"(-49*(2 + 3*x)^8)/648 + (91*(2 + 3*x)^9)/243 - (8*(2 + 3*x)^10)/45 + (20*(2 + 3*x)^11)/891","A",2,1,20,0.05000,1,"{77}"
1238,1,45,0,0.0219301,"\int (1-2 x)^2 (2+3 x)^6 (3+5 x) \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^6*(3 + 5*x),x]","\frac{2}{81} (3 x+2)^{10}-\frac{16}{81} (3 x+2)^9+\frac{91}{216} (3 x+2)^8-\frac{7}{81} (3 x+2)^7","\frac{2}{81} (3 x+2)^{10}-\frac{16}{81} (3 x+2)^9+\frac{91}{216} (3 x+2)^8-\frac{7}{81} (3 x+2)^7",1,"(-7*(2 + 3*x)^7)/81 + (91*(2 + 3*x)^8)/216 - (16*(2 + 3*x)^9)/81 + (2*(2 + 3*x)^10)/81","A",2,1,20,0.05000,1,"{77}"
1239,1,45,0,0.0228015,"\int (1-2 x)^2 (2+3 x)^5 (3+5 x) \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^5*(3 + 5*x),x]","\frac{20}{729} (3 x+2)^9-\frac{2}{9} (3 x+2)^8+\frac{13}{27} (3 x+2)^7-\frac{49}{486} (3 x+2)^6","\frac{20}{729} (3 x+2)^9-\frac{2}{9} (3 x+2)^8+\frac{13}{27} (3 x+2)^7-\frac{49}{486} (3 x+2)^6",1,"(-49*(2 + 3*x)^6)/486 + (13*(2 + 3*x)^7)/27 - (2*(2 + 3*x)^8)/9 + (20*(2 + 3*x)^9)/729","A",2,1,20,0.05000,1,"{77}"
1240,1,45,0,0.0202908,"\int (1-2 x)^2 (2+3 x)^4 (3+5 x) \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^4*(3 + 5*x),x]","\frac{5}{162} (3 x+2)^8-\frac{16}{63} (3 x+2)^7+\frac{91}{162} (3 x+2)^6-\frac{49}{405} (3 x+2)^5","\frac{5}{162} (3 x+2)^8-\frac{16}{63} (3 x+2)^7+\frac{91}{162} (3 x+2)^6-\frac{49}{405} (3 x+2)^5",1,"(-49*(2 + 3*x)^5)/405 + (91*(2 + 3*x)^6)/162 - (16*(2 + 3*x)^7)/63 + (5*(2 + 3*x)^8)/162","A",2,1,20,0.05000,1,"{77}"
1241,1,42,0,0.0156931,"\int (1-2 x)^2 (2+3 x)^3 (3+5 x) \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^3*(3 + 5*x),x]","\frac{540 x^7}{7}+144 x^6+\frac{99 x^5}{5}-\frac{425 x^4}{4}-\frac{154 x^3}{3}+26 x^2+24 x","\frac{540 x^7}{7}+144 x^6+\frac{99 x^5}{5}-\frac{425 x^4}{4}-\frac{154 x^3}{3}+26 x^2+24 x",1,"24*x + 26*x^2 - (154*x^3)/3 - (425*x^4)/4 + (99*x^5)/5 + 144*x^6 + (540*x^7)/7","A",2,1,20,0.05000,1,"{77}"
1242,1,35,0,0.0134748,"\int (1-2 x)^2 (2+3 x)^2 (3+5 x) \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^2*(3 + 5*x),x]","30 x^6+\frac{168 x^5}{5}-\frac{79 x^4}{4}-\frac{89 x^3}{3}+4 x^2+12 x","30 x^6+\frac{168 x^5}{5}-\frac{79 x^4}{4}-\frac{89 x^3}{3}+4 x^2+12 x",1,"12*x + 4*x^2 - (89*x^3)/3 - (79*x^4)/4 + (168*x^5)/5 + 30*x^6","A",2,1,20,0.05000,1,"{77}"
1243,1,28,0,0.0116863,"\int (1-2 x)^2 (2+3 x) (3+5 x) \, dx","Int[(1 - 2*x)^2*(2 + 3*x)*(3 + 5*x),x]","12 x^5+4 x^4-\frac{37 x^3}{3}-\frac{5 x^2}{2}+6 x","12 x^5+4 x^4-\frac{37 x^3}{3}-\frac{5 x^2}{2}+6 x",1,"6*x - (5*x^2)/2 - (37*x^3)/3 + 4*x^4 + 12*x^5","A",2,1,18,0.05556,1,"{77}"
1244,1,23,0,0.0080378,"\int (1-2 x)^2 (3+5 x) \, dx","Int[(1 - 2*x)^2*(3 + 5*x),x]","5 x^4-\frac{8 x^3}{3}-\frac{7 x^2}{2}+3 x","5 x^4-\frac{8 x^3}{3}-\frac{7 x^2}{2}+3 x",1,"3*x - (7*x^2)/2 - (8*x^3)/3 + 5*x^4","A",2,1,13,0.07692,1,"{43}"
1245,1,30,0,0.0114052,"\int \frac{(1-2 x)^2 (3+5 x)}{2+3 x} \, dx","Int[((1 - 2*x)^2*(3 + 5*x))/(2 + 3*x),x]","\frac{20 x^3}{9}-\frac{32 x^2}{9}+\frac{65 x}{27}-\frac{49}{81} \log (3 x+2)","\frac{20 x^3}{9}-\frac{32 x^2}{9}+\frac{65 x}{27}-\frac{49}{81} \log (3 x+2)",1,"(65*x)/27 - (32*x^2)/9 + (20*x^3)/9 - (49*Log[2 + 3*x])/81","A",2,1,20,0.05000,1,"{77}"
1246,1,34,0,0.0142177,"\int \frac{(1-2 x)^2 (3+5 x)}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^2*(3 + 5*x))/(2 + 3*x)^2,x]","\frac{10 x^2}{9}-\frac{104 x}{27}+\frac{49}{81 (3 x+2)}+\frac{91}{27} \log (3 x+2)","\frac{10 x^2}{9}-\frac{104 x}{27}+\frac{49}{81 (3 x+2)}+\frac{91}{27} \log (3 x+2)",1,"(-104*x)/27 + (10*x^2)/9 + 49/(81*(2 + 3*x)) + (91*Log[2 + 3*x])/27","A",2,1,20,0.05000,1,"{77}"
1247,1,38,0,0.0151843,"\int \frac{(1-2 x)^2 (3+5 x)}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^2*(3 + 5*x))/(2 + 3*x)^3,x]","\frac{20 x}{27}-\frac{91}{27 (3 x+2)}+\frac{49}{162 (3 x+2)^2}-\frac{16}{9} \log (3 x+2)","\frac{20 x}{27}-\frac{91}{27 (3 x+2)}+\frac{49}{162 (3 x+2)^2}-\frac{16}{9} \log (3 x+2)",1,"(20*x)/27 + 49/(162*(2 + 3*x)^2) - 91/(27*(2 + 3*x)) - (16*Log[2 + 3*x])/9","A",2,1,20,0.05000,1,"{77}"
1248,1,44,0,0.0170495,"\int \frac{(1-2 x)^2 (3+5 x)}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^2*(3 + 5*x))/(2 + 3*x)^4,x]","\frac{16}{9 (3 x+2)}-\frac{91}{54 (3 x+2)^2}+\frac{49}{243 (3 x+2)^3}+\frac{20}{81} \log (3 x+2)","\frac{16}{9 (3 x+2)}-\frac{91}{54 (3 x+2)^2}+\frac{49}{243 (3 x+2)^3}+\frac{20}{81} \log (3 x+2)",1,"49/(243*(2 + 3*x)^3) - 91/(54*(2 + 3*x)^2) + 16/(9*(2 + 3*x)) + (20*Log[2 + 3*x])/81","A",2,1,20,0.05000,1,"{77}"
1249,1,37,0,0.0058116,"\int \frac{(1-2 x)^2 (3+5 x)}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^2*(3 + 5*x))/(2 + 3*x)^5,x]","\frac{(1-2 x)^3}{84 (3 x+2)^4}-\frac{23 (1-2 x)^3}{294 (3 x+2)^3}","\frac{(1-2 x)^3}{84 (3 x+2)^4}-\frac{23 (1-2 x)^3}{294 (3 x+2)^3}",1,"(1 - 2*x)^3/(84*(2 + 3*x)^4) - (23*(1 - 2*x)^3)/(294*(2 + 3*x)^3)","A",2,2,20,0.1000,1,"{78, 37}"
1250,1,45,0,0.0163791,"\int \frac{(1-2 x)^2 (3+5 x)}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^2*(3 + 5*x))/(2 + 3*x)^6,x]","-\frac{10}{81 (3 x+2)^2}+\frac{16}{27 (3 x+2)^3}-\frac{91}{108 (3 x+2)^4}+\frac{49}{405 (3 x+2)^5}","-\frac{10}{81 (3 x+2)^2}+\frac{16}{27 (3 x+2)^3}-\frac{91}{108 (3 x+2)^4}+\frac{49}{405 (3 x+2)^5}",1,"49/(405*(2 + 3*x)^5) - 91/(108*(2 + 3*x)^4) + 16/(27*(2 + 3*x)^3) - 10/(81*(2 + 3*x)^2)","A",2,1,20,0.05000,1,"{77}"
1251,1,45,0,0.0166633,"\int \frac{(1-2 x)^2 (3+5 x)}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^2*(3 + 5*x))/(2 + 3*x)^7,x]","-\frac{20}{243 (3 x+2)^3}+\frac{4}{9 (3 x+2)^4}-\frac{91}{135 (3 x+2)^5}+\frac{49}{486 (3 x+2)^6}","-\frac{20}{243 (3 x+2)^3}+\frac{4}{9 (3 x+2)^4}-\frac{91}{135 (3 x+2)^5}+\frac{49}{486 (3 x+2)^6}",1,"49/(486*(2 + 3*x)^6) - 91/(135*(2 + 3*x)^5) + 4/(9*(2 + 3*x)^4) - 20/(243*(2 + 3*x)^3)","A",2,1,20,0.05000,1,"{77}"
1252,1,45,0,0.0170339,"\int \frac{(1-2 x)^2 (3+5 x)}{(2+3 x)^8} \, dx","Int[((1 - 2*x)^2*(3 + 5*x))/(2 + 3*x)^8,x]","-\frac{5}{81 (3 x+2)^4}+\frac{16}{45 (3 x+2)^5}-\frac{91}{162 (3 x+2)^6}+\frac{7}{81 (3 x+2)^7}","-\frac{5}{81 (3 x+2)^4}+\frac{16}{45 (3 x+2)^5}-\frac{91}{162 (3 x+2)^6}+\frac{7}{81 (3 x+2)^7}",1,"7/(81*(2 + 3*x)^7) - 91/(162*(2 + 3*x)^6) + 16/(45*(2 + 3*x)^5) - 5/(81*(2 + 3*x)^4)","A",2,1,20,0.05000,1,"{77}"
1253,1,56,0,0.0313688,"\int (1-2 x)^2 (2+3 x)^8 (3+5 x)^2 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^8*(3 + 5*x)^2,x]","\frac{100 (3 x+2)^{13}}{3159}-\frac{185}{729} (3 x+2)^{12}+\frac{503}{891} (3 x+2)^{11}-\frac{259 (3 x+2)^{10}}{1215}+\frac{49 (3 x+2)^9}{2187}","\frac{100 (3 x+2)^{13}}{3159}-\frac{185}{729} (3 x+2)^{12}+\frac{503}{891} (3 x+2)^{11}-\frac{259 (3 x+2)^{10}}{1215}+\frac{49 (3 x+2)^9}{2187}",1,"(49*(2 + 3*x)^9)/2187 - (259*(2 + 3*x)^10)/1215 + (503*(2 + 3*x)^11)/891 - (185*(2 + 3*x)^12)/729 + (100*(2 + 3*x)^13)/3159","A",2,1,22,0.04545,1,"{88}"
1254,1,56,0,0.0295273,"\int (1-2 x)^2 (2+3 x)^7 (3+5 x)^2 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^7*(3 + 5*x)^2,x]","\frac{25}{729} (3 x+2)^{12}-\frac{740 (3 x+2)^{11}}{2673}+\frac{503}{810} (3 x+2)^{10}-\frac{518 (3 x+2)^9}{2187}+\frac{49 (3 x+2)^8}{1944}","\frac{25}{729} (3 x+2)^{12}-\frac{740 (3 x+2)^{11}}{2673}+\frac{503}{810} (3 x+2)^{10}-\frac{518 (3 x+2)^9}{2187}+\frac{49 (3 x+2)^8}{1944}",1,"(49*(2 + 3*x)^8)/1944 - (518*(2 + 3*x)^9)/2187 + (503*(2 + 3*x)^10)/810 - (740*(2 + 3*x)^11)/2673 + (25*(2 + 3*x)^12)/729","A",2,1,22,0.04545,1,"{88}"
1255,1,56,0,0.0269701,"\int (1-2 x)^2 (2+3 x)^6 (3+5 x)^2 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^6*(3 + 5*x)^2,x]","\frac{100 (3 x+2)^{11}}{2673}-\frac{74}{243} (3 x+2)^{10}+\frac{503}{729} (3 x+2)^9-\frac{259}{972} (3 x+2)^8+\frac{7}{243} (3 x+2)^7","\frac{100 (3 x+2)^{11}}{2673}-\frac{74}{243} (3 x+2)^{10}+\frac{503}{729} (3 x+2)^9-\frac{259}{972} (3 x+2)^8+\frac{7}{243} (3 x+2)^7",1,"(7*(2 + 3*x)^7)/243 - (259*(2 + 3*x)^8)/972 + (503*(2 + 3*x)^9)/729 - (74*(2 + 3*x)^10)/243 + (100*(2 + 3*x)^11)/2673","A",2,1,22,0.04545,1,"{88}"
1256,1,56,0,0.0249215,"\int (1-2 x)^2 (2+3 x)^5 (3+5 x)^2 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^5*(3 + 5*x)^2,x]","\frac{10}{243} (3 x+2)^{10}-\frac{740 (3 x+2)^9}{2187}+\frac{503}{648} (3 x+2)^8-\frac{74}{243} (3 x+2)^7+\frac{49 (3 x+2)^6}{1458}","\frac{10}{243} (3 x+2)^{10}-\frac{740 (3 x+2)^9}{2187}+\frac{503}{648} (3 x+2)^8-\frac{74}{243} (3 x+2)^7+\frac{49 (3 x+2)^6}{1458}",1,"(49*(2 + 3*x)^6)/1458 - (74*(2 + 3*x)^7)/243 + (503*(2 + 3*x)^8)/648 - (740*(2 + 3*x)^9)/2187 + (10*(2 + 3*x)^10)/243","A",2,1,22,0.04545,1,"{88}"
1257,1,56,0,0.0225944,"\int (1-2 x)^2 (2+3 x)^4 (3+5 x)^2 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^4*(3 + 5*x)^2,x]","\frac{100 (3 x+2)^9}{2187}-\frac{185}{486} (3 x+2)^8+\frac{503}{567} (3 x+2)^7-\frac{259}{729} (3 x+2)^6+\frac{49 (3 x+2)^5}{1215}","\frac{100 (3 x+2)^9}{2187}-\frac{185}{486} (3 x+2)^8+\frac{503}{567} (3 x+2)^7-\frac{259}{729} (3 x+2)^6+\frac{49 (3 x+2)^5}{1215}",1,"(49*(2 + 3*x)^5)/1215 - (259*(2 + 3*x)^6)/729 + (503*(2 + 3*x)^7)/567 - (185*(2 + 3*x)^8)/486 + (100*(2 + 3*x)^9)/2187","A",2,1,22,0.04545,1,"{88}"
1258,1,51,0,0.0201723,"\int (1-2 x)^2 (2+3 x)^3 (3+5 x)^2 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^3*(3 + 5*x)^2,x]","\frac{675 x^8}{2}+\frac{5940 x^7}{7}+\frac{1029 x^6}{2}-\frac{1828 x^5}{5}-\frac{2045 x^4}{4}-\frac{202 x^3}{3}+138 x^2+72 x","\frac{675 x^8}{2}+\frac{5940 x^7}{7}+\frac{1029 x^6}{2}-\frac{1828 x^5}{5}-\frac{2045 x^4}{4}-\frac{202 x^3}{3}+138 x^2+72 x",1,"72*x + 138*x^2 - (202*x^3)/3 - (2045*x^4)/4 - (1828*x^5)/5 + (1029*x^6)/2 + (5940*x^7)/7 + (675*x^8)/2","A",2,1,22,0.04545,1,"{88}"
1259,1,42,0,0.0178049,"\int (1-2 x)^2 (2+3 x)^2 (3+5 x)^2 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^2*(3 + 5*x)^2,x]","\frac{900 x^7}{7}+230 x^6+\frac{109 x^5}{5}-\frac{341 x^4}{2}-\frac{227 x^3}{3}+42 x^2+36 x","\frac{900 x^7}{7}+230 x^6+\frac{109 x^5}{5}-\frac{341 x^4}{2}-\frac{227 x^3}{3}+42 x^2+36 x",1,"36*x + 42*x^2 - (227*x^3)/3 - (341*x^4)/2 + (109*x^5)/5 + 230*x^6 + (900*x^7)/7","A",2,1,22,0.04545,1,"{88}"
1260,1,35,0,0.0138977,"\int (1-2 x)^2 (2+3 x) (3+5 x)^2 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)*(3 + 5*x)^2,x]","50 x^6+52 x^5-\frac{137 x^4}{4}-\frac{136 x^3}{3}+\frac{15 x^2}{2}+18 x","50 x^6+52 x^5-\frac{137 x^4}{4}-\frac{136 x^3}{3}+\frac{15 x^2}{2}+18 x",1,"18*x + (15*x^2)/2 - (136*x^3)/3 - (137*x^4)/4 + 52*x^5 + 50*x^6","A",2,1,20,0.05000,1,"{77}"
1261,1,26,0,0.010321,"\int (1-2 x)^2 (3+5 x)^2 \, dx","Int[(1 - 2*x)^2*(3 + 5*x)^2,x]","20 x^5+5 x^4-\frac{59 x^3}{3}-3 x^2+9 x","20 x^5+5 x^4-\frac{59 x^3}{3}-3 x^2+9 x",1,"9*x - 3*x^2 - (59*x^3)/3 + 5*x^4 + 20*x^5","A",2,1,15,0.06667,1,"{43}"
1262,1,37,0,0.0157756,"\int \frac{(1-2 x)^2 (3+5 x)^2}{2+3 x} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^2)/(2 + 3*x),x]","\frac{25 x^4}{3}-\frac{140 x^3}{27}-\frac{251 x^2}{54}+\frac{340 x}{81}+\frac{49}{243} \log (3 x+2)","\frac{25 x^4}{3}-\frac{140 x^3}{27}-\frac{251 x^2}{54}+\frac{340 x}{81}+\frac{49}{243} \log (3 x+2)",1,"(340*x)/81 - (251*x^2)/54 - (140*x^3)/27 + (25*x^4)/3 + (49*Log[2 + 3*x])/243","A",2,1,22,0.04545,1,"{88}"
1263,1,41,0,0.0201524,"\int \frac{(1-2 x)^2 (3+5 x)^2}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^2)/(2 + 3*x)^2,x]","\frac{100 x^3}{27}-\frac{170 x^2}{27}+\frac{143 x}{27}-\frac{49}{243 (3 x+2)}-\frac{518}{243} \log (3 x+2)","\frac{100 x^3}{27}-\frac{170 x^2}{27}+\frac{143 x}{27}-\frac{49}{243 (3 x+2)}-\frac{518}{243} \log (3 x+2)",1,"(143*x)/27 - (170*x^2)/27 + (100*x^3)/27 - 49/(243*(2 + 3*x)) - (518*Log[2 + 3*x])/243","A",2,1,22,0.04545,1,"{88}"
1264,1,45,0,0.0212613,"\int \frac{(1-2 x)^2 (3+5 x)^2}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^2)/(2 + 3*x)^3,x]","\frac{50 x^2}{27}-\frac{20 x}{3}+\frac{518}{243 (3 x+2)}-\frac{49}{486 (3 x+2)^2}+\frac{503}{81} \log (3 x+2)","\frac{50 x^2}{27}-\frac{20 x}{3}+\frac{518}{243 (3 x+2)}-\frac{49}{486 (3 x+2)^2}+\frac{503}{81} \log (3 x+2)",1,"(-20*x)/3 + (50*x^2)/27 - 49/(486*(2 + 3*x)^2) + 518/(243*(2 + 3*x)) + (503*Log[2 + 3*x])/81","A",2,1,22,0.04545,1,"{88}"
1265,1,49,0,0.0190883,"\int \frac{(1-2 x)^2 (3+5 x)^2}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^2)/(2 + 3*x)^4,x]","\frac{100 x}{81}-\frac{503}{81 (3 x+2)}+\frac{259}{243 (3 x+2)^2}-\frac{49}{729 (3 x+2)^3}-\frac{740}{243} \log (3 x+2)","\frac{100 x}{81}-\frac{503}{81 (3 x+2)}+\frac{259}{243 (3 x+2)^2}-\frac{49}{729 (3 x+2)^3}-\frac{740}{243} \log (3 x+2)",1,"(100*x)/81 - 49/(729*(2 + 3*x)^3) + 259/(243*(2 + 3*x)^2) - 503/(81*(2 + 3*x)) - (740*Log[2 + 3*x])/243","A",2,1,22,0.04545,1,"{88}"
1266,1,55,0,0.0204819,"\int \frac{(1-2 x)^2 (3+5 x)^2}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^2)/(2 + 3*x)^5,x]","\frac{740}{243 (3 x+2)}-\frac{503}{162 (3 x+2)^2}+\frac{518}{729 (3 x+2)^3}-\frac{49}{972 (3 x+2)^4}+\frac{100}{243} \log (3 x+2)","\frac{740}{243 (3 x+2)}-\frac{503}{162 (3 x+2)^2}+\frac{518}{729 (3 x+2)^3}-\frac{49}{972 (3 x+2)^4}+\frac{100}{243} \log (3 x+2)",1,"-49/(972*(2 + 3*x)^4) + 518/(729*(2 + 3*x)^3) - 503/(162*(2 + 3*x)^2) + 740/(243*(2 + 3*x)) + (100*Log[2 + 3*x])/243","A",2,1,22,0.04545,1,"{88}"
1267,1,56,0,0.0200987,"\int \frac{(1-2 x)^2 (3+5 x)^2}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^2)/(2 + 3*x)^6,x]","-\frac{100}{243 (3 x+2)}+\frac{370}{243 (3 x+2)^2}-\frac{503}{243 (3 x+2)^3}+\frac{259}{486 (3 x+2)^4}-\frac{49}{1215 (3 x+2)^5}","-\frac{100}{243 (3 x+2)}+\frac{370}{243 (3 x+2)^2}-\frac{503}{243 (3 x+2)^3}+\frac{259}{486 (3 x+2)^4}-\frac{49}{1215 (3 x+2)^5}",1,"-49/(1215*(2 + 3*x)^5) + 259/(486*(2 + 3*x)^4) - 503/(243*(2 + 3*x)^3) + 370/(243*(2 + 3*x)^2) - 100/(243*(2 + 3*x))","A",2,1,22,0.04545,1,"{88}"
1268,1,56,0,0.0190698,"\int \frac{(1-2 x)^2 (3+5 x)^2}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^2)/(2 + 3*x)^7,x]","-\frac{50}{243 (3 x+2)^2}+\frac{740}{729 (3 x+2)^3}-\frac{503}{324 (3 x+2)^4}+\frac{518}{1215 (3 x+2)^5}-\frac{49}{1458 (3 x+2)^6}","-\frac{50}{243 (3 x+2)^2}+\frac{740}{729 (3 x+2)^3}-\frac{503}{324 (3 x+2)^4}+\frac{518}{1215 (3 x+2)^5}-\frac{49}{1458 (3 x+2)^6}",1,"-49/(1458*(2 + 3*x)^6) + 518/(1215*(2 + 3*x)^5) - 503/(324*(2 + 3*x)^4) + 740/(729*(2 + 3*x)^3) - 50/(243*(2 + 3*x)^2)","A",2,1,22,0.04545,1,"{88}"
1269,1,56,0,0.0197464,"\int \frac{(1-2 x)^2 (3+5 x)^2}{(2+3 x)^8} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^2)/(2 + 3*x)^8,x]","-\frac{100}{729 (3 x+2)^3}+\frac{185}{243 (3 x+2)^4}-\frac{503}{405 (3 x+2)^5}+\frac{259}{729 (3 x+2)^6}-\frac{7}{243 (3 x+2)^7}","-\frac{100}{729 (3 x+2)^3}+\frac{185}{243 (3 x+2)^4}-\frac{503}{405 (3 x+2)^5}+\frac{259}{729 (3 x+2)^6}-\frac{7}{243 (3 x+2)^7}",1,"-7/(243*(2 + 3*x)^7) + 259/(729*(2 + 3*x)^6) - 503/(405*(2 + 3*x)^5) + 185/(243*(2 + 3*x)^4) - 100/(729*(2 + 3*x)^3)","A",2,1,22,0.04545,1,"{88}"
1270,1,67,0,0.0388608,"\int (1-2 x)^2 (2+3 x)^{10} (3+5 x)^3 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^10*(3 + 5*x)^3,x]","\frac{125 (3 x+2)^{16}}{2916}-\frac{760 (3 x+2)^{15}}{2187}+\frac{8285 (3 x+2)^{14}}{10206}-\frac{4099 (3 x+2)^{13}}{9477}+\frac{763 (3 x+2)^{12}}{8748}-\frac{49 (3 x+2)^{11}}{8019}","\frac{125 (3 x+2)^{16}}{2916}-\frac{760 (3 x+2)^{15}}{2187}+\frac{8285 (3 x+2)^{14}}{10206}-\frac{4099 (3 x+2)^{13}}{9477}+\frac{763 (3 x+2)^{12}}{8748}-\frac{49 (3 x+2)^{11}}{8019}",1,"(-49*(2 + 3*x)^11)/8019 + (763*(2 + 3*x)^12)/8748 - (4099*(2 + 3*x)^13)/9477 + (8285*(2 + 3*x)^14)/10206 - (760*(2 + 3*x)^15)/2187 + (125*(2 + 3*x)^16)/2916","A",2,1,22,0.04545,1,"{88}"
1271,1,67,0,0.0349731,"\int (1-2 x)^2 (2+3 x)^9 (3+5 x)^3 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^9*(3 + 5*x)^3,x]","\frac{100 (3 x+2)^{15}}{2187}-\frac{1900 (3 x+2)^{14}}{5103}+\frac{8285 (3 x+2)^{13}}{9477}-\frac{4099 (3 x+2)^{12}}{8748}+\frac{763 (3 x+2)^{11}}{8019}-\frac{49 (3 x+2)^{10}}{7290}","\frac{100 (3 x+2)^{15}}{2187}-\frac{1900 (3 x+2)^{14}}{5103}+\frac{8285 (3 x+2)^{13}}{9477}-\frac{4099 (3 x+2)^{12}}{8748}+\frac{763 (3 x+2)^{11}}{8019}-\frac{49 (3 x+2)^{10}}{7290}",1,"(-49*(2 + 3*x)^10)/7290 + (763*(2 + 3*x)^11)/8019 - (4099*(2 + 3*x)^12)/8748 + (8285*(2 + 3*x)^13)/9477 - (1900*(2 + 3*x)^14)/5103 + (100*(2 + 3*x)^15)/2187","A",2,1,22,0.04545,1,"{88}"
1272,1,67,0,0.0355555,"\int (1-2 x)^2 (2+3 x)^8 (3+5 x)^3 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^8*(3 + 5*x)^3,x]","\frac{250 (3 x+2)^{14}}{5103}-\frac{3800 (3 x+2)^{13}}{9477}+\frac{8285 (3 x+2)^{12}}{8748}-\frac{4099 (3 x+2)^{11}}{8019}+\frac{763 (3 x+2)^{10}}{7290}-\frac{49 (3 x+2)^9}{6561}","\frac{250 (3 x+2)^{14}}{5103}-\frac{3800 (3 x+2)^{13}}{9477}+\frac{8285 (3 x+2)^{12}}{8748}-\frac{4099 (3 x+2)^{11}}{8019}+\frac{763 (3 x+2)^{10}}{7290}-\frac{49 (3 x+2)^9}{6561}",1,"(-49*(2 + 3*x)^9)/6561 + (763*(2 + 3*x)^10)/7290 - (4099*(2 + 3*x)^11)/8019 + (8285*(2 + 3*x)^12)/8748 - (3800*(2 + 3*x)^13)/9477 + (250*(2 + 3*x)^14)/5103","A",2,1,22,0.04545,1,"{88}"
1273,1,67,0,0.0324613,"\int (1-2 x)^2 (2+3 x)^7 (3+5 x)^3 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^7*(3 + 5*x)^3,x]","\frac{500 (3 x+2)^{13}}{9477}-\frac{950 (3 x+2)^{12}}{2187}+\frac{8285 (3 x+2)^{11}}{8019}-\frac{4099 (3 x+2)^{10}}{7290}+\frac{763 (3 x+2)^9}{6561}-\frac{49 (3 x+2)^8}{5832}","\frac{500 (3 x+2)^{13}}{9477}-\frac{950 (3 x+2)^{12}}{2187}+\frac{8285 (3 x+2)^{11}}{8019}-\frac{4099 (3 x+2)^{10}}{7290}+\frac{763 (3 x+2)^9}{6561}-\frac{49 (3 x+2)^8}{5832}",1,"(-49*(2 + 3*x)^8)/5832 + (763*(2 + 3*x)^9)/6561 - (4099*(2 + 3*x)^10)/7290 + (8285*(2 + 3*x)^11)/8019 - (950*(2 + 3*x)^12)/2187 + (500*(2 + 3*x)^13)/9477","A",2,1,22,0.04545,1,"{88}"
1274,1,67,0,0.0311978,"\int (1-2 x)^2 (2+3 x)^6 (3+5 x)^3 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^6*(3 + 5*x)^3,x]","\frac{125 (3 x+2)^{12}}{2187}-\frac{3800 (3 x+2)^{11}}{8019}+\frac{1657 (3 x+2)^{10}}{1458}-\frac{4099 (3 x+2)^9}{6561}+\frac{763 (3 x+2)^8}{5832}-\frac{7}{729} (3 x+2)^7","\frac{125 (3 x+2)^{12}}{2187}-\frac{3800 (3 x+2)^{11}}{8019}+\frac{1657 (3 x+2)^{10}}{1458}-\frac{4099 (3 x+2)^9}{6561}+\frac{763 (3 x+2)^8}{5832}-\frac{7}{729} (3 x+2)^7",1,"(-7*(2 + 3*x)^7)/729 + (763*(2 + 3*x)^8)/5832 - (4099*(2 + 3*x)^9)/6561 + (1657*(2 + 3*x)^10)/1458 - (3800*(2 + 3*x)^11)/8019 + (125*(2 + 3*x)^12)/2187","A",2,1,22,0.04545,1,"{88}"
1275,1,67,0,0.0293167,"\int (1-2 x)^2 (2+3 x)^5 (3+5 x)^3 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^5*(3 + 5*x)^3,x]","\frac{500 (3 x+2)^{11}}{8019}-\frac{380}{729} (3 x+2)^{10}+\frac{8285 (3 x+2)^9}{6561}-\frac{4099 (3 x+2)^8}{5832}+\frac{109}{729} (3 x+2)^7-\frac{49 (3 x+2)^6}{4374}","\frac{500 (3 x+2)^{11}}{8019}-\frac{380}{729} (3 x+2)^{10}+\frac{8285 (3 x+2)^9}{6561}-\frac{4099 (3 x+2)^8}{5832}+\frac{109}{729} (3 x+2)^7-\frac{49 (3 x+2)^6}{4374}",1,"(-49*(2 + 3*x)^6)/4374 + (109*(2 + 3*x)^7)/729 - (4099*(2 + 3*x)^8)/5832 + (8285*(2 + 3*x)^9)/6561 - (380*(2 + 3*x)^10)/729 + (500*(2 + 3*x)^11)/8019","A",2,1,22,0.04545,1,"{88}"
1276,1,67,0,0.0274436,"\int (1-2 x)^2 (2+3 x)^4 (3+5 x)^3 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^4*(3 + 5*x)^3,x]","\frac{50}{729} (3 x+2)^{10}-\frac{3800 (3 x+2)^9}{6561}+\frac{8285 (3 x+2)^8}{5832}-\frac{4099 (3 x+2)^7}{5103}+\frac{763 (3 x+2)^6}{4374}-\frac{49 (3 x+2)^5}{3645}","\frac{50}{729} (3 x+2)^{10}-\frac{3800 (3 x+2)^9}{6561}+\frac{8285 (3 x+2)^8}{5832}-\frac{4099 (3 x+2)^7}{5103}+\frac{763 (3 x+2)^6}{4374}-\frac{49 (3 x+2)^5}{3645}",1,"(-49*(2 + 3*x)^5)/3645 + (763*(2 + 3*x)^6)/4374 - (4099*(2 + 3*x)^7)/5103 + (8285*(2 + 3*x)^8)/5832 - (3800*(2 + 3*x)^9)/6561 + (50*(2 + 3*x)^10)/729","A",2,1,22,0.04545,1,"{88}"
1277,1,52,0,0.0228307,"\int (1-2 x)^2 (2+3 x)^3 (3+5 x)^3 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^3*(3 + 5*x)^3,x]","1500 x^9+4725 x^8+\frac{33255 x^7}{7}+\frac{121 x^6}{6}-\frac{15709 x^5}{5}-\frac{7145 x^4}{4}+258 x^3+594 x^2+216 x","1500 x^9+4725 x^8+\frac{33255 x^7}{7}+\frac{121 x^6}{6}-\frac{15709 x^5}{5}-\frac{7145 x^4}{4}+258 x^3+594 x^2+216 x",1,"216*x + 594*x^2 + 258*x^3 - (7145*x^4)/4 - (15709*x^5)/5 + (121*x^6)/6 + (33255*x^7)/7 + 4725*x^8 + 1500*x^9","A",2,1,22,0.04545,1,"{88}"
1278,1,49,0,0.0196127,"\int (1-2 x)^2 (2+3 x)^2 (3+5 x)^3 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)^2*(3 + 5*x)^3,x]","\frac{1125 x^8}{2}+\frac{9600 x^7}{7}+\frac{4685 x^6}{6}-\frac{3083 x^5}{5}-\frac{3181 x^4}{4}-87 x^3+216 x^2+108 x","\frac{1125 x^8}{2}+\frac{9600 x^7}{7}+\frac{4685 x^6}{6}-\frac{3083 x^5}{5}-\frac{3181 x^4}{4}-87 x^3+216 x^2+108 x",1,"108*x + 216*x^2 - 87*x^3 - (3181*x^4)/4 - (3083*x^5)/5 + (4685*x^6)/6 + (9600*x^7)/7 + (1125*x^8)/2","A",2,1,22,0.04545,1,"{88}"
1279,1,42,0,0.0167219,"\int (1-2 x)^2 (2+3 x) (3+5 x)^3 \, dx","Int[(1 - 2*x)^2*(2 + 3*x)*(3 + 5*x)^3,x]","\frac{1500 x^7}{7}+\frac{1100 x^6}{3}+19 x^5-\frac{1091 x^4}{4}-111 x^3+\frac{135 x^2}{2}+54 x","\frac{1500 x^7}{7}+\frac{1100 x^6}{3}+19 x^5-\frac{1091 x^4}{4}-111 x^3+\frac{135 x^2}{2}+54 x",1,"54*x + (135*x^2)/2 - 111*x^3 - (1091*x^4)/4 + 19*x^5 + (1100*x^6)/3 + (1500*x^7)/7","A",2,1,20,0.05000,1,"{77}"
1280,1,34,0,0.0140187,"\int (1-2 x)^2 (3+5 x)^3 \, dx","Int[(1 - 2*x)^2*(3 + 5*x)^3,x]","\frac{2}{375} (5 x+3)^6-\frac{44}{625} (5 x+3)^5+\frac{121}{500} (5 x+3)^4","\frac{2}{375} (5 x+3)^6-\frac{44}{625} (5 x+3)^5+\frac{121}{500} (5 x+3)^4",1,"(121*(3 + 5*x)^4)/500 - (44*(3 + 5*x)^5)/625 + (2*(3 + 5*x)^6)/375","A",2,1,15,0.06667,1,"{43}"
1281,1,44,0,0.0187745,"\int \frac{(1-2 x)^2 (3+5 x)^3}{2+3 x} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^3)/(2 + 3*x),x]","\frac{100 x^5}{3}+\frac{50 x^4}{9}-\frac{2515 x^3}{81}-\frac{559 x^2}{162}+\frac{3305 x}{243}-\frac{49}{729} \log (3 x+2)","\frac{100 x^5}{3}+\frac{50 x^4}{9}-\frac{2515 x^3}{81}-\frac{559 x^2}{162}+\frac{3305 x}{243}-\frac{49}{729} \log (3 x+2)",1,"(3305*x)/243 - (559*x^2)/162 - (2515*x^3)/81 + (50*x^4)/9 + (100*x^5)/3 - (49*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1282,1,48,0,0.0230949,"\int \frac{(1-2 x)^2 (3+5 x)^3}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^3)/(2 + 3*x)^2,x]","\frac{125 x^4}{9}-\frac{800 x^3}{81}-\frac{305 x^2}{54}+\frac{1271 x}{243}+\frac{49}{729 (3 x+2)}+\frac{763}{729} \log (3 x+2)","\frac{125 x^4}{9}-\frac{800 x^3}{81}-\frac{305 x^2}{54}+\frac{1271 x}{243}+\frac{49}{729 (3 x+2)}+\frac{763}{729} \log (3 x+2)",1,"(1271*x)/243 - (305*x^2)/54 - (800*x^3)/81 + (125*x^4)/9 + 49/(729*(2 + 3*x)) + (763*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1283,1,52,0,0.0236817,"\int \frac{(1-2 x)^2 (3+5 x)^3}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^3)/(2 + 3*x)^3,x]","\frac{500 x^3}{81}-\frac{100 x^2}{9}+\frac{895 x}{81}-\frac{763}{729 (3 x+2)}+\frac{49}{1458 (3 x+2)^2}-\frac{4099}{729} \log (3 x+2)","\frac{500 x^3}{81}-\frac{100 x^2}{9}+\frac{895 x}{81}-\frac{763}{729 (3 x+2)}+\frac{49}{1458 (3 x+2)^2}-\frac{4099}{729} \log (3 x+2)",1,"(895*x)/81 - (100*x^2)/9 + (500*x^3)/81 + 49/(1458*(2 + 3*x)^2) - 763/(729*(2 + 3*x)) - (4099*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1284,1,56,0,0.0240618,"\int \frac{(1-2 x)^2 (3+5 x)^3}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^3)/(2 + 3*x)^4,x]","\frac{250 x^2}{81}-\frac{2800 x}{243}+\frac{4099}{729 (3 x+2)}-\frac{763}{1458 (3 x+2)^2}+\frac{49}{2187 (3 x+2)^3}+\frac{8285}{729} \log (3 x+2)","\frac{250 x^2}{81}-\frac{2800 x}{243}+\frac{4099}{729 (3 x+2)}-\frac{763}{1458 (3 x+2)^2}+\frac{49}{2187 (3 x+2)^3}+\frac{8285}{729} \log (3 x+2)",1,"(-2800*x)/243 + (250*x^2)/81 + 49/(2187*(2 + 3*x)^3) - 763/(1458*(2 + 3*x)^2) + 4099/(729*(2 + 3*x)) + (8285*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1285,1,60,0,0.0251481,"\int \frac{(1-2 x)^2 (3+5 x)^3}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^3)/(2 + 3*x)^5,x]","\frac{500 x}{243}-\frac{8285}{729 (3 x+2)}+\frac{4099}{1458 (3 x+2)^2}-\frac{763}{2187 (3 x+2)^3}+\frac{49}{2916 (3 x+2)^4}-\frac{3800}{729} \log (3 x+2)","\frac{500 x}{243}-\frac{8285}{729 (3 x+2)}+\frac{4099}{1458 (3 x+2)^2}-\frac{763}{2187 (3 x+2)^3}+\frac{49}{2916 (3 x+2)^4}-\frac{3800}{729} \log (3 x+2)",1,"(500*x)/243 + 49/(2916*(2 + 3*x)^4) - 763/(2187*(2 + 3*x)^3) + 4099/(1458*(2 + 3*x)^2) - 8285/(729*(2 + 3*x)) - (3800*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1286,1,66,0,0.0265225,"\int \frac{(1-2 x)^2 (3+5 x)^3}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^3)/(2 + 3*x)^6,x]","\frac{3800}{729 (3 x+2)}-\frac{8285}{1458 (3 x+2)^2}+\frac{4099}{2187 (3 x+2)^3}-\frac{763}{2916 (3 x+2)^4}+\frac{49}{3645 (3 x+2)^5}+\frac{500}{729} \log (3 x+2)","\frac{3800}{729 (3 x+2)}-\frac{8285}{1458 (3 x+2)^2}+\frac{4099}{2187 (3 x+2)^3}-\frac{763}{2916 (3 x+2)^4}+\frac{49}{3645 (3 x+2)^5}+\frac{500}{729} \log (3 x+2)",1,"49/(3645*(2 + 3*x)^5) - 763/(2916*(2 + 3*x)^4) + 4099/(2187*(2 + 3*x)^3) - 8285/(1458*(2 + 3*x)^2) + 3800/(729*(2 + 3*x)) + (500*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1287,1,67,0,0.0233289,"\int \frac{(1-2 x)^2 (3+5 x)^3}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^3)/(2 + 3*x)^7,x]","-\frac{500}{729 (3 x+2)}+\frac{1900}{729 (3 x+2)^2}-\frac{8285}{2187 (3 x+2)^3}+\frac{4099}{2916 (3 x+2)^4}-\frac{763}{3645 (3 x+2)^5}+\frac{49}{4374 (3 x+2)^6}","-\frac{500}{729 (3 x+2)}+\frac{1900}{729 (3 x+2)^2}-\frac{8285}{2187 (3 x+2)^3}+\frac{4099}{2916 (3 x+2)^4}-\frac{763}{3645 (3 x+2)^5}+\frac{49}{4374 (3 x+2)^6}",1,"49/(4374*(2 + 3*x)^6) - 763/(3645*(2 + 3*x)^5) + 4099/(2916*(2 + 3*x)^4) - 8285/(2187*(2 + 3*x)^3) + 1900/(729*(2 + 3*x)^2) - 500/(729*(2 + 3*x))","A",2,1,22,0.04545,1,"{88}"
1288,1,67,0,0.0247781,"\int \frac{(1-2 x)^2 (3+5 x)^3}{(2+3 x)^8} \, dx","Int[((1 - 2*x)^2*(3 + 5*x)^3)/(2 + 3*x)^8,x]","-\frac{250}{729 (3 x+2)^2}+\frac{3800}{2187 (3 x+2)^3}-\frac{8285}{2916 (3 x+2)^4}+\frac{4099}{3645 (3 x+2)^5}-\frac{763}{4374 (3 x+2)^6}+\frac{7}{729 (3 x+2)^7}","-\frac{250}{729 (3 x+2)^2}+\frac{3800}{2187 (3 x+2)^3}-\frac{8285}{2916 (3 x+2)^4}+\frac{4099}{3645 (3 x+2)^5}-\frac{763}{4374 (3 x+2)^6}+\frac{7}{729 (3 x+2)^7}",1,"7/(729*(2 + 3*x)^7) - 763/(4374*(2 + 3*x)^6) + 4099/(3645*(2 + 3*x)^5) - 8285/(2916*(2 + 3*x)^4) + 3800/(2187*(2 + 3*x)^3) - 250/(729*(2 + 3*x)^2)","A",2,1,22,0.04545,1,"{88}"
1289,1,72,0,0.0324679,"\int \frac{(1-2 x)^2 (2+3 x)^7}{3+5 x} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^7)/(3 + 5*x),x]","\frac{972 x^9}{5}+\frac{16767 x^8}{25}+\frac{672867 x^7}{875}+\frac{130383 x^6}{1250}-\frac{7315947 x^5}{15625}-\frac{20577159 x^4}{62500}+\frac{1327159 x^3}{78125}+\frac{80555569 x^2}{781250}+\frac{83333293 x}{1953125}+\frac{121 \log (5 x+3)}{9765625}","\frac{972 x^9}{5}+\frac{16767 x^8}{25}+\frac{672867 x^7}{875}+\frac{130383 x^6}{1250}-\frac{7315947 x^5}{15625}-\frac{20577159 x^4}{62500}+\frac{1327159 x^3}{78125}+\frac{80555569 x^2}{781250}+\frac{83333293 x}{1953125}+\frac{121 \log (5 x+3)}{9765625}",1,"(83333293*x)/1953125 + (80555569*x^2)/781250 + (1327159*x^3)/78125 - (20577159*x^4)/62500 - (7315947*x^5)/15625 + (130383*x^6)/1250 + (672867*x^7)/875 + (16767*x^8)/25 + (972*x^9)/5 + (121*Log[3 + 5*x])/9765625","A",2,1,22,0.04545,1,"{88}"
1290,1,65,0,0.0292593,"\int \frac{(1-2 x)^2 (2+3 x)^6}{3+5 x} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^6)/(3 + 5*x),x]","\frac{729 x^8}{10}+\frac{34992 x^7}{175}+\frac{35883 x^6}{250}-\frac{228447 x^5}{3125}-\frac{1677159 x^4}{12500}-\frac{422841 x^3}{15625}+\frac{5555569 x^2}{156250}+\frac{8333293 x}{390625}+\frac{121 \log (5 x+3)}{1953125}","\frac{729 x^8}{10}+\frac{34992 x^7}{175}+\frac{35883 x^6}{250}-\frac{228447 x^5}{3125}-\frac{1677159 x^4}{12500}-\frac{422841 x^3}{15625}+\frac{5555569 x^2}{156250}+\frac{8333293 x}{390625}+\frac{121 \log (5 x+3)}{1953125}",1,"(8333293*x)/390625 + (5555569*x^2)/156250 - (422841*x^3)/15625 - (1677159*x^4)/12500 - (228447*x^5)/3125 + (35883*x^6)/250 + (34992*x^7)/175 + (729*x^8)/10 + (121*Log[3 + 5*x])/1953125","A",2,1,22,0.04545,1,"{88}"
1291,1,58,0,0.0259295,"\int \frac{(1-2 x)^2 (2+3 x)^5}{3+5 x} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^5)/(3 + 5*x),x]","\frac{972 x^7}{35}+\frac{1404 x^6}{25}+\frac{7803 x^5}{625}-\frac{102159 x^4}{2500}-\frac{72841 x^3}{3125}+\frac{305569 x^2}{31250}+\frac{833293 x}{78125}+\frac{121 \log (5 x+3)}{390625}","\frac{972 x^7}{35}+\frac{1404 x^6}{25}+\frac{7803 x^5}{625}-\frac{102159 x^4}{2500}-\frac{72841 x^3}{3125}+\frac{305569 x^2}{31250}+\frac{833293 x}{78125}+\frac{121 \log (5 x+3)}{390625}",1,"(833293*x)/78125 + (305569*x^2)/31250 - (72841*x^3)/3125 - (102159*x^4)/2500 + (7803*x^5)/625 + (1404*x^6)/25 + (972*x^7)/35 + (121*Log[3 + 5*x])/390625","A",2,1,22,0.04545,1,"{88}"
1292,1,51,0,0.0218496,"\int \frac{(1-2 x)^2 (2+3 x)^4}{3+5 x} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^4)/(3 + 5*x),x]","\frac{54 x^6}{5}+\frac{1728 x^5}{125}-\frac{3159 x^4}{500}-\frac{7841 x^3}{625}+\frac{5569 x^2}{6250}+\frac{83293 x}{15625}+\frac{121 \log (5 x+3)}{78125}","\frac{54 x^6}{5}+\frac{1728 x^5}{125}-\frac{3159 x^4}{500}-\frac{7841 x^3}{625}+\frac{5569 x^2}{6250}+\frac{83293 x}{15625}+\frac{121 \log (5 x+3)}{78125}",1,"(83293*x)/15625 + (5569*x^2)/6250 - (7841*x^3)/625 - (3159*x^4)/500 + (1728*x^5)/125 + (54*x^6)/5 + (121*Log[3 + 5*x])/78125","A",2,1,22,0.04545,1,"{88}"
1293,1,44,0,0.0189513,"\int \frac{(1-2 x)^2 (2+3 x)^3}{3+5 x} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^3)/(3 + 5*x),x]","\frac{108 x^5}{25}+\frac{54 x^4}{25}-\frac{591 x^3}{125}-\frac{1931 x^2}{1250}+\frac{8293 x}{3125}+\frac{121 \log (5 x+3)}{15625}","\frac{108 x^5}{25}+\frac{54 x^4}{25}-\frac{591 x^3}{125}-\frac{1931 x^2}{1250}+\frac{8293 x}{3125}+\frac{121 \log (5 x+3)}{15625}",1,"(8293*x)/3125 - (1931*x^2)/1250 - (591*x^3)/125 + (54*x^4)/25 + (108*x^5)/25 + (121*Log[3 + 5*x])/15625","A",2,1,22,0.04545,1,"{88}"
1294,1,37,0,0.0168758,"\int \frac{(1-2 x)^2 (2+3 x)^2}{3+5 x} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^2)/(3 + 5*x),x]","\frac{9 x^4}{5}-\frac{16 x^3}{25}-\frac{431 x^2}{250}+\frac{793 x}{625}+\frac{121 \log (5 x+3)}{3125}","\frac{9 x^4}{5}-\frac{16 x^3}{25}-\frac{431 x^2}{250}+\frac{793 x}{625}+\frac{121 \log (5 x+3)}{3125}",1,"(793*x)/625 - (431*x^2)/250 - (16*x^3)/25 + (9*x^4)/5 + (121*Log[3 + 5*x])/3125","A",2,1,22,0.04545,1,"{88}"
1295,1,30,0,0.0105243,"\int \frac{(1-2 x)^2 (2+3 x)}{3+5 x} \, dx","Int[((1 - 2*x)^2*(2 + 3*x))/(3 + 5*x),x]","\frac{4 x^3}{5}-\frac{28 x^2}{25}+\frac{43 x}{125}+\frac{121}{625} \log (5 x+3)","\frac{4 x^3}{5}-\frac{28 x^2}{25}+\frac{43 x}{125}+\frac{121}{625} \log (5 x+3)",1,"(43*x)/125 - (28*x^2)/25 + (4*x^3)/5 + (121*Log[3 + 5*x])/625","A",2,1,20,0.05000,1,"{77}"
1296,1,23,0,0.0078704,"\int \frac{(1-2 x)^2}{3+5 x} \, dx","Int[(1 - 2*x)^2/(3 + 5*x),x]","\frac{2 x^2}{5}-\frac{32 x}{25}+\frac{121}{125} \log (5 x+3)","\frac{2 x^2}{5}-\frac{32 x}{25}+\frac{121}{125} \log (5 x+3)",1,"(-32*x)/25 + (2*x^2)/5 + (121*Log[3 + 5*x])/125","A",2,1,15,0.06667,1,"{43}"
1297,1,26,0,0.0121358,"\int \frac{(1-2 x)^2}{(2+3 x) (3+5 x)} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)*(3 + 5*x)),x]","\frac{4 x}{15}-\frac{49}{9} \log (3 x+2)+\frac{121}{25} \log (5 x+3)","\frac{4 x}{15}-\frac{49}{9} \log (3 x+2)+\frac{121}{25} \log (5 x+3)",1,"(4*x)/15 - (49*Log[2 + 3*x])/9 + (121*Log[3 + 5*x])/25","A",2,1,22,0.04545,1,"{72}"
1298,1,32,0,0.0131435,"\int \frac{(1-2 x)^2}{(2+3 x)^2 (3+5 x)} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^2*(3 + 5*x)),x]","\frac{49}{9 (3 x+2)}-\frac{217}{9} \log (3 x+2)+\frac{121}{5} \log (5 x+3)","\frac{49}{9 (3 x+2)}-\frac{217}{9} \log (3 x+2)+\frac{121}{5} \log (5 x+3)",1,"49/(9*(2 + 3*x)) - (217*Log[2 + 3*x])/9 + (121*Log[3 + 5*x])/5","A",2,1,22,0.04545,1,"{88}"
1299,1,39,0,0.0181591,"\int \frac{(1-2 x)^2}{(2+3 x)^3 (3+5 x)} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^3*(3 + 5*x)),x]","\frac{217}{9 (3 x+2)}+\frac{49}{18 (3 x+2)^2}-121 \log (3 x+2)+121 \log (5 x+3)","\frac{217}{9 (3 x+2)}+\frac{49}{18 (3 x+2)^2}-121 \log (3 x+2)+121 \log (5 x+3)",1,"49/(18*(2 + 3*x)^2) + 217/(9*(2 + 3*x)) - 121*Log[2 + 3*x] + 121*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1300,1,48,0,0.0195223,"\int \frac{(1-2 x)^2}{(2+3 x)^4 (3+5 x)} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^4*(3 + 5*x)),x]","\frac{121}{3 x+2}+\frac{217}{18 (3 x+2)^2}+\frac{49}{27 (3 x+2)^3}-605 \log (3 x+2)+605 \log (5 x+3)","\frac{121}{3 x+2}+\frac{217}{18 (3 x+2)^2}+\frac{49}{27 (3 x+2)^3}-605 \log (3 x+2)+605 \log (5 x+3)",1,"49/(27*(2 + 3*x)^3) + 217/(18*(2 + 3*x)^2) + 121/(2 + 3*x) - 605*Log[2 + 3*x] + 605*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1301,1,59,0,0.0231862,"\int \frac{(1-2 x)^2}{(2+3 x)^5 (3+5 x)} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^5*(3 + 5*x)),x]","\frac{605}{3 x+2}+\frac{121}{2 (3 x+2)^2}+\frac{217}{27 (3 x+2)^3}+\frac{49}{36 (3 x+2)^4}-3025 \log (3 x+2)+3025 \log (5 x+3)","\frac{605}{3 x+2}+\frac{121}{2 (3 x+2)^2}+\frac{217}{27 (3 x+2)^3}+\frac{49}{36 (3 x+2)^4}-3025 \log (3 x+2)+3025 \log (5 x+3)",1,"49/(36*(2 + 3*x)^4) + 217/(27*(2 + 3*x)^3) + 121/(2*(2 + 3*x)^2) + 605/(2 + 3*x) - 3025*Log[2 + 3*x] + 3025*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1302,1,70,0,0.028003,"\int \frac{(1-2 x)^2}{(2+3 x)^6 (3+5 x)} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^6*(3 + 5*x)),x]","\frac{3025}{3 x+2}+\frac{605}{2 (3 x+2)^2}+\frac{121}{3 (3 x+2)^3}+\frac{217}{36 (3 x+2)^4}+\frac{49}{45 (3 x+2)^5}-15125 \log (3 x+2)+15125 \log (5 x+3)","\frac{3025}{3 x+2}+\frac{605}{2 (3 x+2)^2}+\frac{121}{3 (3 x+2)^3}+\frac{217}{36 (3 x+2)^4}+\frac{49}{45 (3 x+2)^5}-15125 \log (3 x+2)+15125 \log (5 x+3)",1,"49/(45*(2 + 3*x)^5) + 217/(36*(2 + 3*x)^4) + 121/(3*(2 + 3*x)^3) + 605/(2*(2 + 3*x)^2) + 3025/(2 + 3*x) - 15125*Log[2 + 3*x] + 15125*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1303,1,81,0,0.032481,"\int \frac{(1-2 x)^2}{(2+3 x)^7 (3+5 x)} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^7*(3 + 5*x)),x]","\frac{15125}{3 x+2}+\frac{3025}{2 (3 x+2)^2}+\frac{605}{3 (3 x+2)^3}+\frac{121}{4 (3 x+2)^4}+\frac{217}{45 (3 x+2)^5}+\frac{49}{54 (3 x+2)^6}-75625 \log (3 x+2)+75625 \log (5 x+3)","\frac{15125}{3 x+2}+\frac{3025}{2 (3 x+2)^2}+\frac{605}{3 (3 x+2)^3}+\frac{121}{4 (3 x+2)^4}+\frac{217}{45 (3 x+2)^5}+\frac{49}{54 (3 x+2)^6}-75625 \log (3 x+2)+75625 \log (5 x+3)",1,"49/(54*(2 + 3*x)^6) + 217/(45*(2 + 3*x)^5) + 121/(4*(2 + 3*x)^4) + 605/(3*(2 + 3*x)^3) + 3025/(2*(2 + 3*x)^2) + 15125/(2 + 3*x) - 75625*Log[2 + 3*x] + 75625*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1304,1,92,0,0.034797,"\int \frac{(1-2 x)^2}{(2+3 x)^8 (3+5 x)} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^8*(3 + 5*x)),x]","\frac{75625}{3 x+2}+\frac{15125}{2 (3 x+2)^2}+\frac{3025}{3 (3 x+2)^3}+\frac{605}{4 (3 x+2)^4}+\frac{121}{5 (3 x+2)^5}+\frac{217}{54 (3 x+2)^6}+\frac{7}{9 (3 x+2)^7}-378125 \log (3 x+2)+378125 \log (5 x+3)","\frac{75625}{3 x+2}+\frac{15125}{2 (3 x+2)^2}+\frac{3025}{3 (3 x+2)^3}+\frac{605}{4 (3 x+2)^4}+\frac{121}{5 (3 x+2)^5}+\frac{217}{54 (3 x+2)^6}+\frac{7}{9 (3 x+2)^7}-378125 \log (3 x+2)+378125 \log (5 x+3)",1,"7/(9*(2 + 3*x)^7) + 217/(54*(2 + 3*x)^6) + 121/(5*(2 + 3*x)^5) + 605/(4*(2 + 3*x)^4) + 3025/(3*(2 + 3*x)^3) + 15125/(2*(2 + 3*x)^2) + 75625/(2 + 3*x) - 378125*Log[2 + 3*x] + 378125*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1305,1,76,0,0.044442,"\int \frac{(1-2 x)^2 (2+3 x)^7}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^7)/(3 + 5*x)^2,x]","\frac{2187 x^8}{50}+\frac{107892 x^7}{875}+\frac{116397 x^6}{1250}-\frac{656424 x^5}{15625}-\frac{213867 x^4}{2500}-\frac{1512378 x^3}{78125}+\frac{17592879 x^2}{781250}+\frac{27776932 x}{1953125}-\frac{121}{9765625 (5 x+3)}+\frac{2497 \log (5 x+3)}{9765625}","\frac{2187 x^8}{50}+\frac{107892 x^7}{875}+\frac{116397 x^6}{1250}-\frac{656424 x^5}{15625}-\frac{213867 x^4}{2500}-\frac{1512378 x^3}{78125}+\frac{17592879 x^2}{781250}+\frac{27776932 x}{1953125}-\frac{121}{9765625 (5 x+3)}+\frac{2497 \log (5 x+3)}{9765625}",1,"(27776932*x)/1953125 + (17592879*x^2)/781250 - (1512378*x^3)/78125 - (213867*x^4)/2500 - (656424*x^5)/15625 + (116397*x^6)/1250 + (107892*x^7)/875 + (2187*x^8)/50 - 121/(9765625*(3 + 5*x)) + (2497*Log[3 + 5*x])/9765625","A",2,1,22,0.04545,1,"{88}"
1306,1,69,0,0.035115,"\int \frac{(1-2 x)^2 (2+3 x)^6}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^6)/(3 + 5*x)^2,x]","\frac{2916 x^7}{175}+\frac{4374 x^6}{125}+\frac{28917 x^5}{3125}-\frac{157599 x^4}{6250}-\frac{48771 x^3}{3125}+\frac{463086 x^2}{78125}+\frac{2777053 x}{390625}-\frac{121}{1953125 (5 x+3)}+\frac{2134 \log (5 x+3)}{1953125}","\frac{2916 x^7}{175}+\frac{4374 x^6}{125}+\frac{28917 x^5}{3125}-\frac{157599 x^4}{6250}-\frac{48771 x^3}{3125}+\frac{463086 x^2}{78125}+\frac{2777053 x}{390625}-\frac{121}{1953125 (5 x+3)}+\frac{2134 \log (5 x+3)}{1953125}",1,"(2777053*x)/390625 + (463086*x^2)/78125 - (48771*x^3)/3125 - (157599*x^4)/6250 + (28917*x^5)/3125 + (4374*x^6)/125 + (2916*x^7)/175 - 121/(1953125*(3 + 5*x)) + (2134*Log[3 + 5*x])/1953125","A",2,1,22,0.04545,1,"{88}"
1307,1,62,0,0.0298238,"\int \frac{(1-2 x)^2 (2+3 x)^5}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^5)/(3 + 5*x)^2,x]","\frac{162 x^6}{25}+\frac{5508 x^5}{625}-\frac{8721 x^4}{2500}-\frac{25332 x^3}{3125}+\frac{1893 x^2}{6250}+\frac{277174 x}{78125}-\frac{121}{390625 (5 x+3)}+\frac{1771 \log (5 x+3)}{390625}","\frac{162 x^6}{25}+\frac{5508 x^5}{625}-\frac{8721 x^4}{2500}-\frac{25332 x^3}{3125}+\frac{1893 x^2}{6250}+\frac{277174 x}{78125}-\frac{121}{390625 (5 x+3)}+\frac{1771 \log (5 x+3)}{390625}",1,"(277174*x)/78125 + (1893*x^2)/6250 - (25332*x^3)/3125 - (8721*x^4)/2500 + (5508*x^5)/625 + (162*x^6)/25 - 121/(390625*(3 + 5*x)) + (1771*Log[3 + 5*x])/390625","A",2,1,22,0.04545,1,"{88}"
1308,1,55,0,0.0252809,"\int \frac{(1-2 x)^2 (2+3 x)^4}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^4)/(3 + 5*x)^2,x]","\frac{324 x^5}{125}+\frac{189 x^4}{125}-\frac{1809 x^3}{625}-\frac{3621 x^2}{3125}+\frac{5459 x}{3125}-\frac{121}{78125 (5 x+3)}+\frac{1408 \log (5 x+3)}{78125}","\frac{324 x^5}{125}+\frac{189 x^4}{125}-\frac{1809 x^3}{625}-\frac{3621 x^2}{3125}+\frac{5459 x}{3125}-\frac{121}{78125 (5 x+3)}+\frac{1408 \log (5 x+3)}{78125}",1,"(5459*x)/3125 - (3621*x^2)/3125 - (1809*x^3)/625 + (189*x^4)/125 + (324*x^5)/125 - 121/(78125*(3 + 5*x)) + (1408*Log[3 + 5*x])/78125","A",2,1,22,0.04545,1,"{88}"
1309,1,48,0,0.0220635,"\int \frac{(1-2 x)^2 (2+3 x)^3}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^3)/(3 + 5*x)^2,x]","\frac{27 x^4}{25}-\frac{36 x^3}{125}-\frac{1449 x^2}{1250}+\frac{2416 x}{3125}-\frac{121}{15625 (5 x+3)}+\frac{209 \log (5 x+3)}{3125}","\frac{27 x^4}{25}-\frac{36 x^3}{125}-\frac{1449 x^2}{1250}+\frac{2416 x}{3125}-\frac{121}{15625 (5 x+3)}+\frac{209 \log (5 x+3)}{3125}",1,"(2416*x)/3125 - (1449*x^2)/1250 - (36*x^3)/125 + (27*x^4)/25 - 121/(15625*(3 + 5*x)) + (209*Log[3 + 5*x])/3125","A",2,1,22,0.04545,1,"{88}"
1310,1,41,0,0.0186623,"\int \frac{(1-2 x)^2 (2+3 x)^2}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^2)/(3 + 5*x)^2,x]","\frac{12 x^3}{25}-\frac{78 x^2}{125}+\frac{37 x}{625}-\frac{121}{3125 (5 x+3)}+\frac{682 \log (5 x+3)}{3125}","\frac{12 x^3}{25}-\frac{78 x^2}{125}+\frac{37 x}{625}-\frac{121}{3125 (5 x+3)}+\frac{682 \log (5 x+3)}{3125}",1,"(37*x)/625 - (78*x^2)/125 + (12*x^3)/25 - 121/(3125*(3 + 5*x)) + (682*Log[3 + 5*x])/3125","A",2,1,22,0.04545,1,"{88}"
1311,1,34,0,0.0142219,"\int \frac{(1-2 x)^2 (2+3 x)}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^2*(2 + 3*x))/(3 + 5*x)^2,x]","\frac{6 x^2}{25}-\frac{92 x}{125}-\frac{121}{625 (5 x+3)}+\frac{319}{625} \log (5 x+3)","\frac{6 x^2}{25}-\frac{92 x}{125}-\frac{121}{625 (5 x+3)}+\frac{319}{625} \log (5 x+3)",1,"(-92*x)/125 + (6*x^2)/25 - 121/(625*(3 + 5*x)) + (319*Log[3 + 5*x])/625","A",2,1,20,0.05000,1,"{77}"
1312,1,27,0,0.0096519,"\int \frac{(1-2 x)^2}{(3+5 x)^2} \, dx","Int[(1 - 2*x)^2/(3 + 5*x)^2,x]","\frac{4 x}{25}-\frac{121}{125 (5 x+3)}-\frac{44}{125} \log (5 x+3)","\frac{4 x}{25}-\frac{121}{125 (5 x+3)}-\frac{44}{125} \log (5 x+3)",1,"(4*x)/25 - 121/(125*(3 + 5*x)) - (44*Log[3 + 5*x])/125","A",2,1,15,0.06667,1,"{43}"
1313,1,32,0,0.0130116,"\int \frac{(1-2 x)^2}{(2+3 x) (3+5 x)^2} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)*(3 + 5*x)^2),x]","-\frac{121}{25 (5 x+3)}+\frac{49}{3} \log (3 x+2)-\frac{407}{25} \log (5 x+3)","-\frac{121}{25 (5 x+3)}+\frac{49}{3} \log (3 x+2)-\frac{407}{25} \log (5 x+3)",1,"-121/(25*(3 + 5*x)) + (49*Log[2 + 3*x])/3 - (407*Log[3 + 5*x])/25","A",2,1,22,0.04545,1,"{88}"
1314,1,39,0,0.0177119,"\int \frac{(1-2 x)^2}{(2+3 x)^2 (3+5 x)^2} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^2*(3 + 5*x)^2),x]","-\frac{49}{3 (3 x+2)}-\frac{121}{5 (5 x+3)}+154 \log (3 x+2)-154 \log (5 x+3)","-\frac{49}{3 (3 x+2)}-\frac{121}{5 (5 x+3)}+154 \log (3 x+2)-154 \log (5 x+3)",1,"-49/(3*(2 + 3*x)) - 121/(5*(3 + 5*x)) + 154*Log[2 + 3*x] - 154*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1315,1,46,0,0.0217176,"\int \frac{(1-2 x)^2}{(2+3 x)^3 (3+5 x)^2} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^3*(3 + 5*x)^2),x]","-\frac{154}{3 x+2}-\frac{121}{5 x+3}-\frac{49}{6 (3 x+2)^2}+1133 \log (3 x+2)-1133 \log (5 x+3)","-\frac{154}{3 x+2}-\frac{121}{5 x+3}-\frac{49}{6 (3 x+2)^2}+1133 \log (3 x+2)-1133 \log (5 x+3)",1,"-49/(6*(2 + 3*x)^2) - 154/(2 + 3*x) - 121/(3 + 5*x) + 1133*Log[2 + 3*x] - 1133*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1316,1,55,0,0.0257409,"\int \frac{(1-2 x)^2}{(2+3 x)^4 (3+5 x)^2} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^4*(3 + 5*x)^2),x]","-\frac{1133}{3 x+2}-\frac{605}{5 x+3}-\frac{77}{(3 x+2)^2}-\frac{49}{9 (3 x+2)^3}+7480 \log (3 x+2)-7480 \log (5 x+3)","-\frac{1133}{3 x+2}-\frac{605}{5 x+3}-\frac{77}{(3 x+2)^2}-\frac{49}{9 (3 x+2)^3}+7480 \log (3 x+2)-7480 \log (5 x+3)",1,"-49/(9*(2 + 3*x)^3) - 77/(2 + 3*x)^2 - 1133/(2 + 3*x) - 605/(3 + 5*x) + 7480*Log[2 + 3*x] - 7480*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1317,1,68,0,0.0332528,"\int \frac{(1-2 x)^2}{(2+3 x)^5 (3+5 x)^2} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^5*(3 + 5*x)^2),x]","-\frac{7480}{3 x+2}-\frac{3025}{5 x+3}-\frac{1133}{2 (3 x+2)^2}-\frac{154}{3 (3 x+2)^3}-\frac{49}{12 (3 x+2)^4}+46475 \log (3 x+2)-46475 \log (5 x+3)","-\frac{7480}{3 x+2}-\frac{3025}{5 x+3}-\frac{1133}{2 (3 x+2)^2}-\frac{154}{3 (3 x+2)^3}-\frac{49}{12 (3 x+2)^4}+46475 \log (3 x+2)-46475 \log (5 x+3)",1,"-49/(12*(2 + 3*x)^4) - 154/(3*(2 + 3*x)^3) - 1133/(2*(2 + 3*x)^2) - 7480/(2 + 3*x) - 3025/(3 + 5*x) + 46475*Log[2 + 3*x] - 46475*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1318,1,77,0,0.0356603,"\int \frac{(1-2 x)^2}{(2+3 x)^6 (3+5 x)^2} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^6*(3 + 5*x)^2),x]","-\frac{46475}{3 x+2}-\frac{15125}{5 x+3}-\frac{3740}{(3 x+2)^2}-\frac{1133}{3 (3 x+2)^3}-\frac{77}{2 (3 x+2)^4}-\frac{49}{15 (3 x+2)^5}+277750 \log (3 x+2)-277750 \log (5 x+3)","-\frac{46475}{3 x+2}-\frac{15125}{5 x+3}-\frac{3740}{(3 x+2)^2}-\frac{1133}{3 (3 x+2)^3}-\frac{77}{2 (3 x+2)^4}-\frac{49}{15 (3 x+2)^5}+277750 \log (3 x+2)-277750 \log (5 x+3)",1,"-49/(15*(2 + 3*x)^5) - 77/(2*(2 + 3*x)^4) - 1133/(3*(2 + 3*x)^3) - 3740/(2 + 3*x)^2 - 46475/(2 + 3*x) - 15125/(3 + 5*x) + 277750*Log[2 + 3*x] - 277750*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1319,1,90,0,0.0423518,"\int \frac{(1-2 x)^2}{(2+3 x)^7 (3+5 x)^2} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^7*(3 + 5*x)^2),x]","-\frac{277750}{3 x+2}-\frac{75625}{5 x+3}-\frac{46475}{2 (3 x+2)^2}-\frac{7480}{3 (3 x+2)^3}-\frac{1133}{4 (3 x+2)^4}-\frac{154}{5 (3 x+2)^5}-\frac{49}{18 (3 x+2)^6}+1615625 \log (3 x+2)-1615625 \log (5 x+3)","-\frac{277750}{3 x+2}-\frac{75625}{5 x+3}-\frac{46475}{2 (3 x+2)^2}-\frac{7480}{3 (3 x+2)^3}-\frac{1133}{4 (3 x+2)^4}-\frac{154}{5 (3 x+2)^5}-\frac{49}{18 (3 x+2)^6}+1615625 \log (3 x+2)-1615625 \log (5 x+3)",1,"-49/(18*(2 + 3*x)^6) - 154/(5*(2 + 3*x)^5) - 1133/(4*(2 + 3*x)^4) - 7480/(3*(2 + 3*x)^3) - 46475/(2*(2 + 3*x)^2) - 277750/(2 + 3*x) - 75625/(3 + 5*x) + 1615625*Log[2 + 3*x] - 1615625*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1320,1,97,0,0.0476409,"\int \frac{(1-2 x)^2}{(2+3 x)^8 (3+5 x)^2} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^8*(3 + 5*x)^2),x]","-\frac{1615625}{3 x+2}-\frac{378125}{5 x+3}-\frac{138875}{(3 x+2)^2}-\frac{46475}{3 (3 x+2)^3}-\frac{1870}{(3 x+2)^4}-\frac{1133}{5 (3 x+2)^5}-\frac{77}{3 (3 x+2)^6}-\frac{7}{3 (3 x+2)^7}+9212500 \log (3 x+2)-9212500 \log (5 x+3)","-\frac{1615625}{3 x+2}-\frac{378125}{5 x+3}-\frac{138875}{(3 x+2)^2}-\frac{46475}{3 (3 x+2)^3}-\frac{1870}{(3 x+2)^4}-\frac{1133}{5 (3 x+2)^5}-\frac{77}{3 (3 x+2)^6}-\frac{7}{3 (3 x+2)^7}+9212500 \log (3 x+2)-9212500 \log (5 x+3)",1,"-7/(3*(2 + 3*x)^7) - 77/(3*(2 + 3*x)^6) - 1133/(5*(2 + 3*x)^5) - 1870/(2 + 3*x)^4 - 46475/(3*(2 + 3*x)^3) - 138875/(2 + 3*x)^2 - 1615625/(2 + 3*x) - 378125/(3 + 5*x) + 9212500*Log[2 + 3*x] - 9212500*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1321,1,87,0,0.0474229,"\int \frac{(1-2 x)^2 (2+3 x)^8}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^8)/(3 + 5*x)^3,x]","\frac{6561 x^8}{250}+\frac{332424 x^7}{4375}+\frac{376407 x^6}{6250}-\frac{74601 x^5}{3125}-\frac{1700919 x^4}{31250}-\frac{5350194 x^3}{390625}+\frac{55559043 x^2}{3906250}+\frac{92582457 x}{9765625}-\frac{572}{9765625 (5 x+3)}-\frac{121}{97656250 (5 x+3)^2}+\frac{5888 \log (5 x+3)}{9765625}","\frac{6561 x^8}{250}+\frac{332424 x^7}{4375}+\frac{376407 x^6}{6250}-\frac{74601 x^5}{3125}-\frac{1700919 x^4}{31250}-\frac{5350194 x^3}{390625}+\frac{55559043 x^2}{3906250}+\frac{92582457 x}{9765625}-\frac{572}{9765625 (5 x+3)}-\frac{121}{97656250 (5 x+3)^2}+\frac{5888 \log (5 x+3)}{9765625}",1,"(92582457*x)/9765625 + (55559043*x^2)/3906250 - (5350194*x^3)/390625 - (1700919*x^4)/31250 - (74601*x^5)/3125 + (376407*x^6)/6250 + (332424*x^7)/4375 + (6561*x^8)/250 - 121/(97656250*(3 + 5*x)^2) - 572/(9765625*(3 + 5*x)) + (5888*Log[3 + 5*x])/9765625","A",2,1,22,0.04545,1,"{88}"
1322,1,80,0,0.0423137,"\int \frac{(1-2 x)^2 (2+3 x)^7}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^7)/(3 + 5*x)^3,x]","\frac{8748 x^7}{875}+\frac{13608 x^6}{625}+\frac{104247 x^5}{15625}-\frac{193833 x^4}{12500}-\frac{162612 x^3}{15625}+\frac{1390203 x^2}{390625}+\frac{9251661 x}{1953125}-\frac{2497}{9765625 (5 x+3)}-\frac{121}{19531250 (5 x+3)^2}+\frac{21949 \log (5 x+3)}{9765625}","\frac{8748 x^7}{875}+\frac{13608 x^6}{625}+\frac{104247 x^5}{15625}-\frac{193833 x^4}{12500}-\frac{162612 x^3}{15625}+\frac{1390203 x^2}{390625}+\frac{9251661 x}{1953125}-\frac{2497}{9765625 (5 x+3)}-\frac{121}{19531250 (5 x+3)^2}+\frac{21949 \log (5 x+3)}{9765625}",1,"(9251661*x)/1953125 + (1390203*x^2)/390625 - (162612*x^3)/15625 - (193833*x^4)/12500 + (104247*x^5)/15625 + (13608*x^6)/625 + (8748*x^7)/875 - 121/(19531250*(3 + 5*x)^2) - 2497/(9765625*(3 + 5*x)) + (21949*Log[3 + 5*x])/9765625","A",2,1,22,0.04545,1,"{88}"
1323,1,73,0,0.0368732,"\int \frac{(1-2 x)^2 (2+3 x)^6}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^6)/(3 + 5*x)^3,x]","\frac{486 x^6}{125}+\frac{17496 x^5}{3125}-\frac{23571 x^4}{12500}-\frac{16299 x^3}{3125}+\frac{189 x^2}{15625}+\frac{920502 x}{390625}-\frac{2134}{1953125 (5 x+3)}-\frac{121}{3906250 (5 x+3)^2}+\frac{15547 \log (5 x+3)}{1953125}","\frac{486 x^6}{125}+\frac{17496 x^5}{3125}-\frac{23571 x^4}{12500}-\frac{16299 x^3}{3125}+\frac{189 x^2}{15625}+\frac{920502 x}{390625}-\frac{2134}{1953125 (5 x+3)}-\frac{121}{3906250 (5 x+3)^2}+\frac{15547 \log (5 x+3)}{1953125}",1,"(920502*x)/390625 + (189*x^2)/15625 - (16299*x^3)/3125 - (23571*x^4)/12500 + (17496*x^5)/3125 + (486*x^6)/125 - 121/(3906250*(3 + 5*x)^2) - 2134/(1953125*(3 + 5*x)) + (15547*Log[3 + 5*x])/1953125","A",2,1,22,0.04545,1,"{88}"
1324,1,66,0,0.0330502,"\int \frac{(1-2 x)^2 (2+3 x)^5}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^5)/(3 + 5*x)^3,x]","\frac{972 x^5}{625}+\frac{648 x^4}{625}-\frac{5499 x^3}{3125}-\frac{5301 x^2}{6250}+\frac{17796 x}{15625}-\frac{1771}{390625 (5 x+3)}-\frac{121}{781250 (5 x+3)^2}+\frac{10234 \log (5 x+3)}{390625}","\frac{972 x^5}{625}+\frac{648 x^4}{625}-\frac{5499 x^3}{3125}-\frac{5301 x^2}{6250}+\frac{17796 x}{15625}-\frac{1771}{390625 (5 x+3)}-\frac{121}{781250 (5 x+3)^2}+\frac{10234 \log (5 x+3)}{390625}",1,"(17796*x)/15625 - (5301*x^2)/6250 - (5499*x^3)/3125 + (648*x^4)/625 + (972*x^5)/625 - 121/(781250*(3 + 5*x)^2) - 1771/(390625*(3 + 5*x)) + (10234*Log[3 + 5*x])/390625","A",2,1,22,0.04545,1,"{88}"
1325,1,59,0,0.0283423,"\int \frac{(1-2 x)^2 (2+3 x)^4}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^4)/(3 + 5*x)^3,x]","\frac{81 x^4}{125}-\frac{72 x^3}{625}-\frac{4779 x^2}{6250}+\frac{1419 x}{3125}-\frac{1408}{78125 (5 x+3)}-\frac{121}{156250 (5 x+3)^2}+\frac{1202 \log (5 x+3)}{15625}","\frac{81 x^4}{125}-\frac{72 x^3}{625}-\frac{4779 x^2}{6250}+\frac{1419 x}{3125}-\frac{1408}{78125 (5 x+3)}-\frac{121}{156250 (5 x+3)^2}+\frac{1202 \log (5 x+3)}{15625}",1,"(1419*x)/3125 - (4779*x^2)/6250 - (72*x^3)/625 + (81*x^4)/125 - 121/(156250*(3 + 5*x)^2) - 1408/(78125*(3 + 5*x)) + (1202*Log[3 + 5*x])/15625","A",2,1,22,0.04545,1,"{88}"
1326,1,52,0,0.0238402,"\int \frac{(1-2 x)^2 (2+3 x)^3}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^3)/(3 + 5*x)^3,x]","\frac{36 x^3}{125}-\frac{216 x^2}{625}-\frac{153 x}{3125}-\frac{209}{3125 (5 x+3)}-\frac{121}{31250 (5 x+3)^2}+\frac{23}{125} \log (5 x+3)","\frac{36 x^3}{125}-\frac{216 x^2}{625}-\frac{153 x}{3125}-\frac{209}{3125 (5 x+3)}-\frac{121}{31250 (5 x+3)^2}+\frac{23}{125} \log (5 x+3)",1,"(-153*x)/3125 - (216*x^2)/625 + (36*x^3)/125 - 121/(31250*(3 + 5*x)^2) - 209/(3125*(3 + 5*x)) + (23*Log[3 + 5*x])/125","A",2,1,22,0.04545,1,"{88}"
1327,1,45,0,0.0194944,"\int \frac{(1-2 x)^2 (2+3 x)^2}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^2*(2 + 3*x)^2)/(3 + 5*x)^3,x]","\frac{18 x^2}{125}-\frac{264 x}{625}-\frac{682}{3125 (5 x+3)}-\frac{121}{6250 (5 x+3)^2}+\frac{829 \log (5 x+3)}{3125}","\frac{18 x^2}{125}-\frac{264 x}{625}-\frac{682}{3125 (5 x+3)}-\frac{121}{6250 (5 x+3)^2}+\frac{829 \log (5 x+3)}{3125}",1,"(-264*x)/625 + (18*x^2)/125 - 121/(6250*(3 + 5*x)^2) - 682/(3125*(3 + 5*x)) + (829*Log[3 + 5*x])/3125","A",2,1,22,0.04545,1,"{88}"
1328,1,38,0,0.0157388,"\int \frac{(1-2 x)^2 (2+3 x)}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^2*(2 + 3*x))/(3 + 5*x)^3,x]","\frac{12 x}{125}-\frac{319}{625 (5 x+3)}-\frac{121}{1250 (5 x+3)^2}-\frac{128}{625} \log (5 x+3)","\frac{12 x}{125}-\frac{319}{625 (5 x+3)}-\frac{121}{1250 (5 x+3)^2}-\frac{128}{625} \log (5 x+3)",1,"(12*x)/125 - 121/(1250*(3 + 5*x)^2) - 319/(625*(3 + 5*x)) - (128*Log[3 + 5*x])/625","A",2,1,20,0.05000,1,"{77}"
1329,1,33,0,0.011919,"\int \frac{(1-2 x)^2}{(3+5 x)^3} \, dx","Int[(1 - 2*x)^2/(3 + 5*x)^3,x]","\frac{44}{125 (5 x+3)}-\frac{121}{250 (5 x+3)^2}+\frac{4}{125} \log (5 x+3)","\frac{44}{125 (5 x+3)}-\frac{121}{250 (5 x+3)^2}+\frac{4}{125} \log (5 x+3)",1,"-121/(250*(3 + 5*x)^2) + 44/(125*(3 + 5*x)) + (4*Log[3 + 5*x])/125","A",2,1,15,0.06667,1,"{43}"
1330,1,39,0,0.0181024,"\int \frac{(1-2 x)^2}{(2+3 x) (3+5 x)^3} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)*(3 + 5*x)^3),x]","\frac{407}{25 (5 x+3)}-\frac{121}{50 (5 x+3)^2}-49 \log (3 x+2)+49 \log (5 x+3)","\frac{407}{25 (5 x+3)}-\frac{121}{50 (5 x+3)^2}-49 \log (3 x+2)+49 \log (5 x+3)",1,"-121/(50*(3 + 5*x)^2) + 407/(25*(3 + 5*x)) - 49*Log[2 + 3*x] + 49*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1331,1,46,0,0.0228606,"\int \frac{(1-2 x)^2}{(2+3 x)^2 (3+5 x)^3} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^2*(3 + 5*x)^3),x]","\frac{49}{3 x+2}+\frac{154}{5 x+3}-\frac{121}{10 (5 x+3)^2}-707 \log (3 x+2)+707 \log (5 x+3)","\frac{49}{3 x+2}+\frac{154}{5 x+3}-\frac{121}{10 (5 x+3)^2}-707 \log (3 x+2)+707 \log (5 x+3)",1,"49/(2 + 3*x) - 121/(10*(3 + 5*x)^2) + 154/(3 + 5*x) - 707*Log[2 + 3*x] + 707*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1332,1,57,0,0.0288247,"\int \frac{(1-2 x)^2}{(2+3 x)^3 (3+5 x)^3} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^3*(3 + 5*x)^3),x]","\frac{707}{3 x+2}+\frac{1133}{5 x+3}+\frac{49}{2 (3 x+2)^2}-\frac{121}{2 (5 x+3)^2}-6934 \log (3 x+2)+6934 \log (5 x+3)","\frac{707}{3 x+2}+\frac{1133}{5 x+3}+\frac{49}{2 (3 x+2)^2}-\frac{121}{2 (5 x+3)^2}-6934 \log (3 x+2)+6934 \log (5 x+3)",1,"49/(2*(2 + 3*x)^2) + 707/(2 + 3*x) - 121/(2*(3 + 5*x)^2) + 1133/(3 + 5*x) - 6934*Log[2 + 3*x] + 6934*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1333,1,68,0,0.0323682,"\int \frac{(1-2 x)^2}{(2+3 x)^4 (3+5 x)^3} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^4*(3 + 5*x)^3),x]","\frac{6934}{3 x+2}+\frac{7480}{5 x+3}+\frac{707}{2 (3 x+2)^2}-\frac{605}{2 (5 x+3)^2}+\frac{49}{3 (3 x+2)^3}-57110 \log (3 x+2)+57110 \log (5 x+3)","\frac{6934}{3 x+2}+\frac{7480}{5 x+3}+\frac{707}{2 (3 x+2)^2}-\frac{605}{2 (5 x+3)^2}+\frac{49}{3 (3 x+2)^3}-57110 \log (3 x+2)+57110 \log (5 x+3)",1,"49/(3*(2 + 3*x)^3) + 707/(2*(2 + 3*x)^2) + 6934/(2 + 3*x) - 605/(2*(3 + 5*x)^2) + 7480/(3 + 5*x) - 57110*Log[2 + 3*x] + 57110*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1334,1,77,0,0.0379856,"\int \frac{(1-2 x)^2}{(2+3 x)^5 (3+5 x)^3} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^5*(3 + 5*x)^3),x]","\frac{57110}{3 x+2}+\frac{46475}{5 x+3}+\frac{3467}{(3 x+2)^2}-\frac{3025}{2 (5 x+3)^2}+\frac{707}{3 (3 x+2)^3}+\frac{49}{4 (3 x+2)^4}-424975 \log (3 x+2)+424975 \log (5 x+3)","\frac{57110}{3 x+2}+\frac{46475}{5 x+3}+\frac{3467}{(3 x+2)^2}-\frac{3025}{2 (5 x+3)^2}+\frac{707}{3 (3 x+2)^3}+\frac{49}{4 (3 x+2)^4}-424975 \log (3 x+2)+424975 \log (5 x+3)",1,"49/(4*(2 + 3*x)^4) + 707/(3*(2 + 3*x)^3) + 3467/(2 + 3*x)^2 + 57110/(2 + 3*x) - 3025/(2*(3 + 5*x)^2) + 46475/(3 + 5*x) - 424975*Log[2 + 3*x] + 424975*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1335,1,88,0,0.0459891,"\int \frac{(1-2 x)^2}{(2+3 x)^6 (3+5 x)^3} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^6*(3 + 5*x)^3),x]","\frac{424975}{3 x+2}+\frac{277750}{5 x+3}+\frac{28555}{(3 x+2)^2}-\frac{15125}{2 (5 x+3)^2}+\frac{6934}{3 (3 x+2)^3}+\frac{707}{4 (3 x+2)^4}+\frac{49}{5 (3 x+2)^5}-2958125 \log (3 x+2)+2958125 \log (5 x+3)","\frac{424975}{3 x+2}+\frac{277750}{5 x+3}+\frac{28555}{(3 x+2)^2}-\frac{15125}{2 (5 x+3)^2}+\frac{6934}{3 (3 x+2)^3}+\frac{707}{4 (3 x+2)^4}+\frac{49}{5 (3 x+2)^5}-2958125 \log (3 x+2)+2958125 \log (5 x+3)",1,"49/(5*(2 + 3*x)^5) + 707/(4*(2 + 3*x)^4) + 6934/(3*(2 + 3*x)^3) + 28555/(2 + 3*x)^2 + 424975/(2 + 3*x) - 15125/(2*(3 + 5*x)^2) + 277750/(3 + 5*x) - 2958125*Log[2 + 3*x] + 2958125*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1336,1,101,0,0.0539351,"\int \frac{(1-2 x)^2}{(2+3 x)^7 (3+5 x)^3} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^7*(3 + 5*x)^3),x]","\frac{2958125}{3 x+2}+\frac{1615625}{5 x+3}+\frac{424975}{2 (3 x+2)^2}-\frac{75625}{2 (5 x+3)^2}+\frac{57110}{3 (3 x+2)^3}+\frac{3467}{2 (3 x+2)^4}+\frac{707}{5 (3 x+2)^5}+\frac{49}{6 (3 x+2)^6}-19637500 \log (3 x+2)+19637500 \log (5 x+3)","\frac{2958125}{3 x+2}+\frac{1615625}{5 x+3}+\frac{424975}{2 (3 x+2)^2}-\frac{75625}{2 (5 x+3)^2}+\frac{57110}{3 (3 x+2)^3}+\frac{3467}{2 (3 x+2)^4}+\frac{707}{5 (3 x+2)^5}+\frac{49}{6 (3 x+2)^6}-19637500 \log (3 x+2)+19637500 \log (5 x+3)",1,"49/(6*(2 + 3*x)^6) + 707/(5*(2 + 3*x)^5) + 3467/(2*(2 + 3*x)^4) + 57110/(3*(2 + 3*x)^3) + 424975/(2*(2 + 3*x)^2) + 2958125/(2 + 3*x) - 75625/(2*(3 + 5*x)^2) + 1615625/(3 + 5*x) - 19637500*Log[2 + 3*x] + 19637500*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1337,1,110,0,0.059523,"\int \frac{(1-2 x)^2}{(2+3 x)^8 (3+5 x)^3} \, dx","Int[(1 - 2*x)^2/((2 + 3*x)^8*(3 + 5*x)^3),x]","\frac{19637500}{3 x+2}+\frac{9212500}{5 x+3}+\frac{2958125}{2 (3 x+2)^2}-\frac{378125}{2 (5 x+3)^2}+\frac{424975}{3 (3 x+2)^3}+\frac{28555}{2 (3 x+2)^4}+\frac{6934}{5 (3 x+2)^5}+\frac{707}{6 (3 x+2)^6}+\frac{7}{(3 x+2)^7}-125825000 \log (3 x+2)+125825000 \log (5 x+3)","\frac{19637500}{3 x+2}+\frac{9212500}{5 x+3}+\frac{2958125}{2 (3 x+2)^2}-\frac{378125}{2 (5 x+3)^2}+\frac{424975}{3 (3 x+2)^3}+\frac{28555}{2 (3 x+2)^4}+\frac{6934}{5 (3 x+2)^5}+\frac{707}{6 (3 x+2)^6}+\frac{7}{(3 x+2)^7}-125825000 \log (3 x+2)+125825000 \log (5 x+3)",1,"7/(2 + 3*x)^7 + 707/(6*(2 + 3*x)^6) + 6934/(5*(2 + 3*x)^5) + 28555/(2*(2 + 3*x)^4) + 424975/(3*(2 + 3*x)^3) + 2958125/(2*(2 + 3*x)^2) + 19637500/(2 + 3*x) - 378125/(2*(3 + 5*x)^2) + 9212500/(3 + 5*x) - 125825000*Log[2 + 3*x] + 125825000*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1338,1,56,0,0.0304658,"\int (1-2 x)^3 (2+3 x)^8 (3+5 x) \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^8*(3 + 5*x),x]","-\frac{40 (3 x+2)^{13}}{3159}+\frac{107}{729} (3 x+2)^{12}-\frac{518}{891} (3 x+2)^{11}+\frac{2009 (3 x+2)^{10}}{2430}-\frac{343 (3 x+2)^9}{2187}","-\frac{40 (3 x+2)^{13}}{3159}+\frac{107}{729} (3 x+2)^{12}-\frac{518}{891} (3 x+2)^{11}+\frac{2009 (3 x+2)^{10}}{2430}-\frac{343 (3 x+2)^9}{2187}",1,"(-343*(2 + 3*x)^9)/2187 + (2009*(2 + 3*x)^10)/2430 - (518*(2 + 3*x)^11)/891 + (107*(2 + 3*x)^12)/729 - (40*(2 + 3*x)^13)/3159","A",2,1,20,0.05000,1,"{77}"
1339,1,56,0,0.0285949,"\int (1-2 x)^3 (2+3 x)^7 (3+5 x) \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^7*(3 + 5*x),x]","-\frac{10}{729} (3 x+2)^{12}+\frac{428 (3 x+2)^{11}}{2673}-\frac{259}{405} (3 x+2)^{10}+\frac{2009 (3 x+2)^9}{2187}-\frac{343 (3 x+2)^8}{1944}","-\frac{10}{729} (3 x+2)^{12}+\frac{428 (3 x+2)^{11}}{2673}-\frac{259}{405} (3 x+2)^{10}+\frac{2009 (3 x+2)^9}{2187}-\frac{343 (3 x+2)^8}{1944}",1,"(-343*(2 + 3*x)^8)/1944 + (2009*(2 + 3*x)^9)/2187 - (259*(2 + 3*x)^10)/405 + (428*(2 + 3*x)^11)/2673 - (10*(2 + 3*x)^12)/729","A",2,1,20,0.05000,1,"{77}"
1340,1,56,0,0.0269762,"\int (1-2 x)^3 (2+3 x)^6 (3+5 x) \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^6*(3 + 5*x),x]","-\frac{40 (3 x+2)^{11}}{2673}+\frac{214 (3 x+2)^{10}}{1215}-\frac{518}{729} (3 x+2)^9+\frac{2009 (3 x+2)^8}{1944}-\frac{49}{243} (3 x+2)^7","-\frac{40 (3 x+2)^{11}}{2673}+\frac{214 (3 x+2)^{10}}{1215}-\frac{518}{729} (3 x+2)^9+\frac{2009 (3 x+2)^8}{1944}-\frac{49}{243} (3 x+2)^7",1,"(-49*(2 + 3*x)^7)/243 + (2009*(2 + 3*x)^8)/1944 - (518*(2 + 3*x)^9)/729 + (214*(2 + 3*x)^10)/1215 - (40*(2 + 3*x)^11)/2673","A",2,1,20,0.05000,1,"{77}"
1341,1,56,0,0.0237418,"\int (1-2 x)^3 (2+3 x)^5 (3+5 x) \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^5*(3 + 5*x),x]","-\frac{4}{243} (3 x+2)^{10}+\frac{428 (3 x+2)^9}{2187}-\frac{259}{324} (3 x+2)^8+\frac{287}{243} (3 x+2)^7-\frac{343 (3 x+2)^6}{1458}","-\frac{4}{243} (3 x+2)^{10}+\frac{428 (3 x+2)^9}{2187}-\frac{259}{324} (3 x+2)^8+\frac{287}{243} (3 x+2)^7-\frac{343 (3 x+2)^6}{1458}",1,"(-343*(2 + 3*x)^6)/1458 + (287*(2 + 3*x)^7)/243 - (259*(2 + 3*x)^8)/324 + (428*(2 + 3*x)^9)/2187 - (4*(2 + 3*x)^10)/243","A",2,1,20,0.05000,1,"{77}"
1342,1,56,0,0.0225159,"\int (1-2 x)^3 (2+3 x)^4 (3+5 x) \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^4*(3 + 5*x),x]","-\frac{40 (3 x+2)^9}{2187}+\frac{107}{486} (3 x+2)^8-\frac{74}{81} (3 x+2)^7+\frac{2009 (3 x+2)^6}{1458}-\frac{343 (3 x+2)^5}{1215}","-\frac{40 (3 x+2)^9}{2187}+\frac{107}{486} (3 x+2)^8-\frac{74}{81} (3 x+2)^7+\frac{2009 (3 x+2)^6}{1458}-\frac{343 (3 x+2)^5}{1215}",1,"(-343*(2 + 3*x)^5)/1215 + (2009*(2 + 3*x)^6)/1458 - (74*(2 + 3*x)^7)/81 + (107*(2 + 3*x)^8)/486 - (40*(2 + 3*x)^9)/2187","A",2,1,20,0.05000,1,"{77}"
1343,1,45,0,0.0185275,"\int (1-2 x)^3 (2+3 x)^3 (3+5 x) \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^3*(3 + 5*x),x]","-135 x^8-\frac{1188 x^7}{7}+111 x^6+\frac{949 x^5}{5}-\frac{117 x^4}{4}-86 x^3+2 x^2+24 x","-135 x^8-\frac{1188 x^7}{7}+111 x^6+\frac{949 x^5}{5}-\frac{117 x^4}{4}-86 x^3+2 x^2+24 x",1,"24*x + 2*x^2 - 86*x^3 - (117*x^4)/4 + (949*x^5)/5 + 111*x^6 - (1188*x^7)/7 - 135*x^8","A",2,1,20,0.05000,1,"{77}"
1344,1,40,0,0.0172792,"\int (1-2 x)^3 (2+3 x)^2 (3+5 x) \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^2*(3 + 5*x),x]","-\frac{360 x^7}{7}-26 x^6+\frac{326 x^5}{5}+\frac{99 x^4}{4}-35 x^3-8 x^2+12 x","-\frac{360 x^7}{7}-26 x^6+\frac{326 x^5}{5}+\frac{99 x^4}{4}-35 x^3-8 x^2+12 x",1,"12*x - 8*x^2 - 35*x^3 + (99*x^4)/4 + (326*x^5)/5 - 26*x^6 - (360*x^7)/7","A",2,1,20,0.05000,1,"{77}"
1345,1,34,0,0.0144095,"\int (1-2 x)^3 (2+3 x) (3+5 x) \, dx","Int[(1 - 2*x)^3*(2 + 3*x)*(3 + 5*x),x]","-\frac{5}{16} (1-2 x)^6+\frac{17}{10} (1-2 x)^5-\frac{77}{32} (1-2 x)^4","-\frac{5}{16} (1-2 x)^6+\frac{17}{10} (1-2 x)^5-\frac{77}{32} (1-2 x)^4",1,"(-77*(1 - 2*x)^4)/32 + (17*(1 - 2*x)^5)/10 - (5*(1 - 2*x)^6)/16","A",2,1,18,0.05556,1,"{77}"
1346,1,23,0,0.0051903,"\int (1-2 x)^3 (3+5 x) \, dx","Int[(1 - 2*x)^3*(3 + 5*x),x]","\frac{1}{4} (1-2 x)^5-\frac{11}{16} (1-2 x)^4","\frac{1}{4} (1-2 x)^5-\frac{11}{16} (1-2 x)^4",1,"(-11*(1 - 2*x)^4)/16 + (1 - 2*x)^5/4","A",2,1,13,0.07692,1,"{43}"
1347,1,37,0,0.0133814,"\int \frac{(1-2 x)^3 (3+5 x)}{2+3 x} \, dx","Int[((1 - 2*x)^3*(3 + 5*x))/(2 + 3*x),x]","-\frac{10 x^4}{3}+\frac{188 x^3}{27}-\frac{161 x^2}{27}+\frac{293 x}{81}-\frac{343}{243} \log (3 x+2)","-\frac{10 x^4}{3}+\frac{188 x^3}{27}-\frac{161 x^2}{27}+\frac{293 x}{81}-\frac{343}{243} \log (3 x+2)",1,"(293*x)/81 - (161*x^2)/27 + (188*x^3)/27 - (10*x^4)/3 - (343*Log[2 + 3*x])/243","A",2,1,20,0.05000,1,"{77}"
1348,1,41,0,0.0188105,"\int \frac{(1-2 x)^3 (3+5 x)}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^3*(3 + 5*x))/(2 + 3*x)^2,x]","-\frac{40 x^3}{27}+\frac{134 x^2}{27}-\frac{286 x}{27}+\frac{343}{243 (3 x+2)}+\frac{2009}{243} \log (3 x+2)","-\frac{40 x^3}{27}+\frac{134 x^2}{27}-\frac{286 x}{27}+\frac{343}{243 (3 x+2)}+\frac{2009}{243} \log (3 x+2)",1,"(-286*x)/27 + (134*x^2)/27 - (40*x^3)/27 + 343/(243*(2 + 3*x)) + (2009*Log[2 + 3*x])/243","A",2,1,20,0.05000,1,"{77}"
1349,1,45,0,0.0183089,"\int \frac{(1-2 x)^3 (3+5 x)}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^3*(3 + 5*x))/(2 + 3*x)^3,x]","-\frac{20 x^2}{27}+\frac{116 x}{27}-\frac{2009}{243 (3 x+2)}+\frac{343}{486 (3 x+2)^2}-\frac{518}{81} \log (3 x+2)","-\frac{20 x^2}{27}+\frac{116 x}{27}-\frac{2009}{243 (3 x+2)}+\frac{343}{486 (3 x+2)^2}-\frac{518}{81} \log (3 x+2)",1,"(116*x)/27 - (20*x^2)/27 + 343/(486*(2 + 3*x)^2) - 2009/(243*(2 + 3*x)) - (518*Log[2 + 3*x])/81","A",2,1,20,0.05000,1,"{77}"
1350,1,49,0,0.0202781,"\int \frac{(1-2 x)^3 (3+5 x)}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^3*(3 + 5*x))/(2 + 3*x)^4,x]","-\frac{40 x}{81}+\frac{518}{81 (3 x+2)}-\frac{2009}{486 (3 x+2)^2}+\frac{343}{729 (3 x+2)^3}+\frac{428}{243} \log (3 x+2)","-\frac{40 x}{81}+\frac{518}{81 (3 x+2)}-\frac{2009}{486 (3 x+2)^2}+\frac{343}{729 (3 x+2)^3}+\frac{428}{243} \log (3 x+2)",1,"(-40*x)/81 + 343/(729*(2 + 3*x)^3) - 2009/(486*(2 + 3*x)^2) + 518/(81*(2 + 3*x)) + (428*Log[2 + 3*x])/243","A",2,1,20,0.05000,1,"{77}"
1351,1,55,0,0.0200654,"\int \frac{(1-2 x)^3 (3+5 x)}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^3*(3 + 5*x))/(2 + 3*x)^5,x]","-\frac{428}{243 (3 x+2)}+\frac{259}{81 (3 x+2)^2}-\frac{2009}{729 (3 x+2)^3}+\frac{343}{972 (3 x+2)^4}-\frac{40}{243} \log (3 x+2)","-\frac{428}{243 (3 x+2)}+\frac{259}{81 (3 x+2)^2}-\frac{2009}{729 (3 x+2)^3}+\frac{343}{972 (3 x+2)^4}-\frac{40}{243} \log (3 x+2)",1,"343/(972*(2 + 3*x)^4) - 2009/(729*(2 + 3*x)^3) + 259/(81*(2 + 3*x)^2) - 428/(243*(2 + 3*x)) - (40*Log[2 + 3*x])/243","A",2,1,20,0.05000,1,"{77}"
1352,1,37,0,0.0061906,"\int \frac{(1-2 x)^3 (3+5 x)}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^3*(3 + 5*x))/(2 + 3*x)^6,x]","\frac{(1-2 x)^4}{105 (3 x+2)^5}-\frac{173 (1-2 x)^4}{2940 (3 x+2)^4}","\frac{(1-2 x)^4}{105 (3 x+2)^5}-\frac{173 (1-2 x)^4}{2940 (3 x+2)^4}",1,"(1 - 2*x)^4/(105*(2 + 3*x)^5) - (173*(1 - 2*x)^4)/(2940*(2 + 3*x)^4)","A",2,2,20,0.1000,1,"{78, 37}"
1353,1,55,0,0.0100002,"\int \frac{(1-2 x)^3 (3+5 x)}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^3*(3 + 5*x))/(2 + 3*x)^7,x]","-\frac{103 (1-2 x)^4}{30870 (3 x+2)^4}-\frac{103 (1-2 x)^4}{2205 (3 x+2)^5}+\frac{(1-2 x)^4}{126 (3 x+2)^6}","-\frac{103 (1-2 x)^4}{30870 (3 x+2)^4}-\frac{103 (1-2 x)^4}{2205 (3 x+2)^5}+\frac{(1-2 x)^4}{126 (3 x+2)^6}",1,"(1 - 2*x)^4/(126*(2 + 3*x)^6) - (103*(1 - 2*x)^4)/(2205*(2 + 3*x)^5) - (103*(1 - 2*x)^4)/(30870*(2 + 3*x)^4)","A",3,3,20,0.1500,1,"{78, 45, 37}"
1354,1,56,0,0.0192513,"\int \frac{(1-2 x)^3 (3+5 x)}{(2+3 x)^8} \, dx","Int[((1 - 2*x)^3*(3 + 5*x))/(2 + 3*x)^8,x]","\frac{40}{729 (3 x+2)^3}-\frac{107}{243 (3 x+2)^4}+\frac{518}{405 (3 x+2)^5}-\frac{2009}{1458 (3 x+2)^6}+\frac{49}{243 (3 x+2)^7}","\frac{40}{729 (3 x+2)^3}-\frac{107}{243 (3 x+2)^4}+\frac{518}{405 (3 x+2)^5}-\frac{2009}{1458 (3 x+2)^6}+\frac{49}{243 (3 x+2)^7}",1,"49/(243*(2 + 3*x)^7) - 2009/(1458*(2 + 3*x)^6) + 518/(405*(2 + 3*x)^5) - 107/(243*(2 + 3*x)^4) + 40/(729*(2 + 3*x)^3)","A",2,1,20,0.05000,1,"{77}"
1355,1,67,0,0.0332451,"\int (1-2 x)^3 (2+3 x)^8 (3+5 x)^2 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^8*(3 + 5*x)^2,x]","-\frac{100 (3 x+2)^{14}}{5103}+\frac{2180 (3 x+2)^{13}}{9477}-\frac{4099 (3 x+2)^{12}}{4374}+\frac{11599 (3 x+2)^{11}}{8019}-\frac{1862 (3 x+2)^{10}}{3645}+\frac{343 (3 x+2)^9}{6561}","-\frac{100 (3 x+2)^{14}}{5103}+\frac{2180 (3 x+2)^{13}}{9477}-\frac{4099 (3 x+2)^{12}}{4374}+\frac{11599 (3 x+2)^{11}}{8019}-\frac{1862 (3 x+2)^{10}}{3645}+\frac{343 (3 x+2)^9}{6561}",1,"(343*(2 + 3*x)^9)/6561 - (1862*(2 + 3*x)^10)/3645 + (11599*(2 + 3*x)^11)/8019 - (4099*(2 + 3*x)^12)/4374 + (2180*(2 + 3*x)^13)/9477 - (100*(2 + 3*x)^14)/5103","A",2,1,22,0.04545,1,"{88}"
1356,1,67,0,0.0323835,"\int (1-2 x)^3 (2+3 x)^7 (3+5 x)^2 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^7*(3 + 5*x)^2,x]","-\frac{200 (3 x+2)^{13}}{9477}+\frac{545 (3 x+2)^{12}}{2187}-\frac{8198 (3 x+2)^{11}}{8019}+\frac{11599 (3 x+2)^{10}}{7290}-\frac{3724 (3 x+2)^9}{6561}+\frac{343 (3 x+2)^8}{5832}","-\frac{200 (3 x+2)^{13}}{9477}+\frac{545 (3 x+2)^{12}}{2187}-\frac{8198 (3 x+2)^{11}}{8019}+\frac{11599 (3 x+2)^{10}}{7290}-\frac{3724 (3 x+2)^9}{6561}+\frac{343 (3 x+2)^8}{5832}",1,"(343*(2 + 3*x)^8)/5832 - (3724*(2 + 3*x)^9)/6561 + (11599*(2 + 3*x)^10)/7290 - (8198*(2 + 3*x)^11)/8019 + (545*(2 + 3*x)^12)/2187 - (200*(2 + 3*x)^13)/9477","A",2,1,22,0.04545,1,"{88}"
1357,1,67,0,0.0294662,"\int (1-2 x)^3 (2+3 x)^6 (3+5 x)^2 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^6*(3 + 5*x)^2,x]","-\frac{50 (3 x+2)^{12}}{2187}+\frac{2180 (3 x+2)^{11}}{8019}-\frac{4099 (3 x+2)^{10}}{3645}+\frac{11599 (3 x+2)^9}{6561}-\frac{931 (3 x+2)^8}{1458}+\frac{49}{729} (3 x+2)^7","-\frac{50 (3 x+2)^{12}}{2187}+\frac{2180 (3 x+2)^{11}}{8019}-\frac{4099 (3 x+2)^{10}}{3645}+\frac{11599 (3 x+2)^9}{6561}-\frac{931 (3 x+2)^8}{1458}+\frac{49}{729} (3 x+2)^7",1,"(49*(2 + 3*x)^7)/729 - (931*(2 + 3*x)^8)/1458 + (11599*(2 + 3*x)^9)/6561 - (4099*(2 + 3*x)^10)/3645 + (2180*(2 + 3*x)^11)/8019 - (50*(2 + 3*x)^12)/2187","A",2,1,22,0.04545,1,"{88}"
1358,1,67,0,0.0291802,"\int (1-2 x)^3 (2+3 x)^5 (3+5 x)^2 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^5*(3 + 5*x)^2,x]","-\frac{200 (3 x+2)^{11}}{8019}+\frac{218}{729} (3 x+2)^{10}-\frac{8198 (3 x+2)^9}{6561}+\frac{11599 (3 x+2)^8}{5832}-\frac{532}{729} (3 x+2)^7+\frac{343 (3 x+2)^6}{4374}","-\frac{200 (3 x+2)^{11}}{8019}+\frac{218}{729} (3 x+2)^{10}-\frac{8198 (3 x+2)^9}{6561}+\frac{11599 (3 x+2)^8}{5832}-\frac{532}{729} (3 x+2)^7+\frac{343 (3 x+2)^6}{4374}",1,"(343*(2 + 3*x)^6)/4374 - (532*(2 + 3*x)^7)/729 + (11599*(2 + 3*x)^8)/5832 - (8198*(2 + 3*x)^9)/6561 + (218*(2 + 3*x)^10)/729 - (200*(2 + 3*x)^11)/8019","A",2,1,22,0.04545,1,"{88}"
1359,1,67,0,0.028602,"\int (1-2 x)^3 (2+3 x)^4 (3+5 x)^2 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^4*(3 + 5*x)^2,x]","-\frac{20}{729} (3 x+2)^{10}+\frac{2180 (3 x+2)^9}{6561}-\frac{4099 (3 x+2)^8}{2916}+\frac{1657}{729} (3 x+2)^7-\frac{1862 (3 x+2)^6}{2187}+\frac{343 (3 x+2)^5}{3645}","-\frac{20}{729} (3 x+2)^{10}+\frac{2180 (3 x+2)^9}{6561}-\frac{4099 (3 x+2)^8}{2916}+\frac{1657}{729} (3 x+2)^7-\frac{1862 (3 x+2)^6}{2187}+\frac{343 (3 x+2)^5}{3645}",1,"(343*(2 + 3*x)^5)/3645 - (1862*(2 + 3*x)^6)/2187 + (1657*(2 + 3*x)^7)/729 - (4099*(2 + 3*x)^8)/2916 + (2180*(2 + 3*x)^9)/6561 - (20*(2 + 3*x)^10)/729","A",2,1,22,0.04545,1,"{88}"
1360,1,56,0,0.0230412,"\int (1-2 x)^3 (2+3 x)^3 (3+5 x)^2 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^3*(3 + 5*x)^2,x]","-600 x^9-\frac{2295 x^8}{2}-\frac{234 x^7}{7}+\frac{6743 x^6}{6}+\frac{2262 x^5}{5}-\frac{1641 x^4}{4}-\frac{754 x^3}{3}+66 x^2+72 x","-600 x^9-\frac{2295 x^8}{2}-\frac{234 x^7}{7}+\frac{6743 x^6}{6}+\frac{2262 x^5}{5}-\frac{1641 x^4}{4}-\frac{754 x^3}{3}+66 x^2+72 x",1,"72*x + 66*x^2 - (754*x^3)/3 - (1641*x^4)/4 + (2262*x^5)/5 + (6743*x^6)/6 - (234*x^7)/7 - (2295*x^8)/2 - 600*x^9","A",2,1,22,0.04545,1,"{88}"
1361,1,47,0,0.0213267,"\int (1-2 x)^3 (2+3 x)^2 (3+5 x)^2 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^2*(3 + 5*x)^2,x]","-225 x^8-\frac{1860 x^7}{7}+\frac{581 x^6}{3}+\frac{1473 x^5}{5}-57 x^4-\frac{395 x^3}{3}+6 x^2+36 x","-225 x^8-\frac{1860 x^7}{7}+\frac{581 x^6}{3}+\frac{1473 x^5}{5}-57 x^4-\frac{395 x^3}{3}+6 x^2+36 x",1,"36*x + 6*x^2 - (395*x^3)/3 - 57*x^4 + (1473*x^5)/5 + (581*x^6)/3 - (1860*x^7)/7 - 225*x^8","A",2,1,22,0.04545,1,"{88}"
1362,1,46,0,0.01598,"\int (1-2 x)^3 (2+3 x) (3+5 x)^2 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)*(3 + 5*x)^2,x]","-\frac{600 x^7}{7}-\frac{110 x^6}{3}+\frac{534 x^5}{5}+\frac{135 x^4}{4}-\frac{166 x^3}{3}-\frac{21 x^2}{2}+18 x","-\frac{600 x^7}{7}-\frac{110 x^6}{3}+\frac{534 x^5}{5}+\frac{135 x^4}{4}-\frac{166 x^3}{3}-\frac{21 x^2}{2}+18 x",1,"18*x - (21*x^2)/2 - (166*x^3)/3 + (135*x^4)/4 + (534*x^5)/5 - (110*x^6)/3 - (600*x^7)/7","A",2,1,20,0.05000,1,"{77}"
1363,1,34,0,0.0143311,"\int (1-2 x)^3 (3+5 x)^2 \, dx","Int[(1 - 2*x)^3*(3 + 5*x)^2,x]","-\frac{25}{48} (1-2 x)^6+\frac{11}{4} (1-2 x)^5-\frac{121}{32} (1-2 x)^4","-\frac{25}{48} (1-2 x)^6+\frac{11}{4} (1-2 x)^5-\frac{121}{32} (1-2 x)^4",1,"(-121*(1 - 2*x)^4)/32 + (11*(1 - 2*x)^5)/4 - (25*(1 - 2*x)^6)/48","A",2,1,15,0.06667,1,"{43}"
1364,1,44,0,0.0191101,"\int \frac{(1-2 x)^3 (3+5 x)^2}{2+3 x} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^2)/(2 + 3*x),x]","-\frac{40 x^5}{3}+\frac{145 x^4}{9}+\frac{82 x^3}{81}-\frac{1433 x^2}{162}+\frac{922 x}{243}+\frac{343}{729} \log (3 x+2)","-\frac{40 x^5}{3}+\frac{145 x^4}{9}+\frac{82 x^3}{81}-\frac{1433 x^2}{162}+\frac{922 x}{243}+\frac{343}{729} \log (3 x+2)",1,"(922*x)/243 - (1433*x^2)/162 + (82*x^3)/81 + (145*x^4)/9 - (40*x^5)/3 + (343*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1365,1,48,0,0.0209315,"\int \frac{(1-2 x)^3 (3+5 x)^2}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^2)/(2 + 3*x)^2,x]","-\frac{50 x^4}{9}+\frac{980 x^3}{81}-\frac{313 x^2}{27}+\frac{2323 x}{243}-\frac{343}{729 (3 x+2)}-\frac{3724}{729} \log (3 x+2)","-\frac{50 x^4}{9}+\frac{980 x^3}{81}-\frac{313 x^2}{27}+\frac{2323 x}{243}-\frac{343}{729 (3 x+2)}-\frac{3724}{729} \log (3 x+2)",1,"(2323*x)/243 - (313*x^2)/27 + (980*x^3)/81 - (50*x^4)/9 - 343/(729*(2 + 3*x)) - (3724*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1366,1,52,0,0.0228997,"\int \frac{(1-2 x)^3 (3+5 x)^2}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^2)/(2 + 3*x)^3,x]","-\frac{200 x^3}{81}+\frac{230 x^2}{27}-\frac{1546 x}{81}+\frac{3724}{729 (3 x+2)}-\frac{343}{1458 (3 x+2)^2}+\frac{11599}{729} \log (3 x+2)","-\frac{200 x^3}{81}+\frac{230 x^2}{27}-\frac{1546 x}{81}+\frac{3724}{729 (3 x+2)}-\frac{343}{1458 (3 x+2)^2}+\frac{11599}{729} \log (3 x+2)",1,"(-1546*x)/81 + (230*x^2)/27 - (200*x^3)/81 - 343/(1458*(2 + 3*x)^2) + 3724/(729*(2 + 3*x)) + (11599*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1367,1,56,0,0.0248844,"\int \frac{(1-2 x)^3 (3+5 x)^2}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^2)/(2 + 3*x)^4,x]","-\frac{100 x^2}{81}+\frac{1780 x}{243}-\frac{11599}{729 (3 x+2)}+\frac{1862}{729 (3 x+2)^2}-\frac{343}{2187 (3 x+2)^3}-\frac{8198}{729} \log (3 x+2)","-\frac{100 x^2}{81}+\frac{1780 x}{243}-\frac{11599}{729 (3 x+2)}+\frac{1862}{729 (3 x+2)^2}-\frac{343}{2187 (3 x+2)^3}-\frac{8198}{729} \log (3 x+2)",1,"(1780*x)/243 - (100*x^2)/81 - 343/(2187*(2 + 3*x)^3) + 1862/(729*(2 + 3*x)^2) - 11599/(729*(2 + 3*x)) - (8198*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1368,1,60,0,0.0250564,"\int \frac{(1-2 x)^3 (3+5 x)^2}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^2)/(2 + 3*x)^5,x]","-\frac{200 x}{243}+\frac{8198}{729 (3 x+2)}-\frac{11599}{1458 (3 x+2)^2}+\frac{3724}{2187 (3 x+2)^3}-\frac{343}{2916 (3 x+2)^4}+\frac{2180}{729} \log (3 x+2)","-\frac{200 x}{243}+\frac{8198}{729 (3 x+2)}-\frac{11599}{1458 (3 x+2)^2}+\frac{3724}{2187 (3 x+2)^3}-\frac{343}{2916 (3 x+2)^4}+\frac{2180}{729} \log (3 x+2)",1,"(-200*x)/243 - 343/(2916*(2 + 3*x)^4) + 3724/(2187*(2 + 3*x)^3) - 11599/(1458*(2 + 3*x)^2) + 8198/(729*(2 + 3*x)) + (2180*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1369,1,66,0,0.0250362,"\int \frac{(1-2 x)^3 (3+5 x)^2}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^2)/(2 + 3*x)^6,x]","-\frac{2180}{729 (3 x+2)}+\frac{4099}{729 (3 x+2)^2}-\frac{11599}{2187 (3 x+2)^3}+\frac{931}{729 (3 x+2)^4}-\frac{343}{3645 (3 x+2)^5}-\frac{200}{729} \log (3 x+2)","-\frac{2180}{729 (3 x+2)}+\frac{4099}{729 (3 x+2)^2}-\frac{11599}{2187 (3 x+2)^3}+\frac{931}{729 (3 x+2)^4}-\frac{343}{3645 (3 x+2)^5}-\frac{200}{729} \log (3 x+2)",1,"-343/(3645*(2 + 3*x)^5) + 931/(729*(2 + 3*x)^4) - 11599/(2187*(2 + 3*x)^3) + 4099/(729*(2 + 3*x)^2) - 2180/(729*(2 + 3*x)) - (200*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1370,1,67,0,0.0233426,"\int \frac{(1-2 x)^3 (3+5 x)^2}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^2)/(2 + 3*x)^7,x]","\frac{200}{729 (3 x+2)}-\frac{1090}{729 (3 x+2)^2}+\frac{8198}{2187 (3 x+2)^3}-\frac{11599}{2916 (3 x+2)^4}+\frac{3724}{3645 (3 x+2)^5}-\frac{343}{4374 (3 x+2)^6}","\frac{200}{729 (3 x+2)}-\frac{1090}{729 (3 x+2)^2}+\frac{8198}{2187 (3 x+2)^3}-\frac{11599}{2916 (3 x+2)^4}+\frac{3724}{3645 (3 x+2)^5}-\frac{343}{4374 (3 x+2)^6}",1,"-343/(4374*(2 + 3*x)^6) + 3724/(3645*(2 + 3*x)^5) - 11599/(2916*(2 + 3*x)^4) + 8198/(2187*(2 + 3*x)^3) - 1090/(729*(2 + 3*x)^2) + 200/(729*(2 + 3*x))","A",2,1,22,0.04545,1,"{88}"
1371,1,67,0,0.023736,"\int \frac{(1-2 x)^3 (3+5 x)^2}{(2+3 x)^8} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^2)/(2 + 3*x)^8,x]","\frac{100}{729 (3 x+2)^2}-\frac{2180}{2187 (3 x+2)^3}+\frac{4099}{1458 (3 x+2)^4}-\frac{11599}{3645 (3 x+2)^5}+\frac{1862}{2187 (3 x+2)^6}-\frac{49}{729 (3 x+2)^7}","\frac{100}{729 (3 x+2)^2}-\frac{2180}{2187 (3 x+2)^3}+\frac{4099}{1458 (3 x+2)^4}-\frac{11599}{3645 (3 x+2)^5}+\frac{1862}{2187 (3 x+2)^6}-\frac{49}{729 (3 x+2)^7}",1,"-49/(729*(2 + 3*x)^7) + 1862/(2187*(2 + 3*x)^6) - 11599/(3645*(2 + 3*x)^5) + 4099/(1458*(2 + 3*x)^4) - 2180/(2187*(2 + 3*x)^3) + 100/(729*(2 + 3*x)^2)","A",2,1,22,0.04545,1,"{88}"
1372,1,78,0,0.0355359,"\int (1-2 x)^3 (2+3 x)^7 (3+5 x)^3 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^7*(3 + 5*x)^3,x]","-\frac{500 (3 x+2)^{14}}{15309}+\frac{3700 (3 x+2)^{13}}{9477}-\frac{7195 (3 x+2)^{12}}{4374}+\frac{66193 (3 x+2)^{11}}{24057}-\frac{10073 (3 x+2)^{10}}{7290}+\frac{1813 (3 x+2)^9}{6561}-\frac{343 (3 x+2)^8}{17496}","-\frac{500 (3 x+2)^{14}}{15309}+\frac{3700 (3 x+2)^{13}}{9477}-\frac{7195 (3 x+2)^{12}}{4374}+\frac{66193 (3 x+2)^{11}}{24057}-\frac{10073 (3 x+2)^{10}}{7290}+\frac{1813 (3 x+2)^9}{6561}-\frac{343 (3 x+2)^8}{17496}",1,"(-343*(2 + 3*x)^8)/17496 + (1813*(2 + 3*x)^9)/6561 - (10073*(2 + 3*x)^10)/7290 + (66193*(2 + 3*x)^11)/24057 - (7195*(2 + 3*x)^12)/4374 + (3700*(2 + 3*x)^13)/9477 - (500*(2 + 3*x)^14)/15309","A",2,1,22,0.04545,1,"{88}"
1373,1,78,0,0.0345636,"\int (1-2 x)^3 (2+3 x)^6 (3+5 x)^3 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^6*(3 + 5*x)^3,x]","-\frac{1000 (3 x+2)^{13}}{28431}+\frac{925 (3 x+2)^{12}}{2187}-\frac{14390 (3 x+2)^{11}}{8019}+\frac{66193 (3 x+2)^{10}}{21870}-\frac{10073 (3 x+2)^9}{6561}+\frac{1813 (3 x+2)^8}{5832}-\frac{49 (3 x+2)^7}{2187}","-\frac{1000 (3 x+2)^{13}}{28431}+\frac{925 (3 x+2)^{12}}{2187}-\frac{14390 (3 x+2)^{11}}{8019}+\frac{66193 (3 x+2)^{10}}{21870}-\frac{10073 (3 x+2)^9}{6561}+\frac{1813 (3 x+2)^8}{5832}-\frac{49 (3 x+2)^7}{2187}",1,"(-49*(2 + 3*x)^7)/2187 + (1813*(2 + 3*x)^8)/5832 - (10073*(2 + 3*x)^9)/6561 + (66193*(2 + 3*x)^10)/21870 - (14390*(2 + 3*x)^11)/8019 + (925*(2 + 3*x)^12)/2187 - (1000*(2 + 3*x)^13)/28431","A",2,1,22,0.04545,1,"{88}"
1374,1,78,0,0.0386395,"\int (1-2 x)^3 (2+3 x)^5 (3+5 x)^3 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^5*(3 + 5*x)^3,x]","-\frac{250 (3 x+2)^{12}}{6561}+\frac{3700 (3 x+2)^{11}}{8019}-\frac{1439}{729} (3 x+2)^{10}+\frac{66193 (3 x+2)^9}{19683}-\frac{10073 (3 x+2)^8}{5832}+\frac{259}{729} (3 x+2)^7-\frac{343 (3 x+2)^6}{13122}","-\frac{250 (3 x+2)^{12}}{6561}+\frac{3700 (3 x+2)^{11}}{8019}-\frac{1439}{729} (3 x+2)^{10}+\frac{66193 (3 x+2)^9}{19683}-\frac{10073 (3 x+2)^8}{5832}+\frac{259}{729} (3 x+2)^7-\frac{343 (3 x+2)^6}{13122}",1,"(-343*(2 + 3*x)^6)/13122 + (259*(2 + 3*x)^7)/729 - (10073*(2 + 3*x)^8)/5832 + (66193*(2 + 3*x)^9)/19683 - (1439*(2 + 3*x)^10)/729 + (3700*(2 + 3*x)^11)/8019 - (250*(2 + 3*x)^12)/6561","A",2,1,22,0.04545,1,"{88}"
1375,1,62,0,0.0309639,"\int (1-2 x)^3 (2+3 x)^4 (3+5 x)^3 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^4*(3 + 5*x)^3,x]","-\frac{81000 x^{11}}{11}-24030 x^{10}-23370 x^9+\frac{41619 x^8}{8}+22949 x^7+\frac{19607 x^6}{2}-\frac{28917 x^5}{5}-5548 x^4-312 x^3+1080 x^2+432 x","-\frac{81000 x^{11}}{11}-24030 x^{10}-23370 x^9+\frac{41619 x^8}{8}+22949 x^7+\frac{19607 x^6}{2}-\frac{28917 x^5}{5}-5548 x^4-312 x^3+1080 x^2+432 x",1,"432*x + 1080*x^2 - 312*x^3 - 5548*x^4 - (28917*x^5)/5 + (19607*x^6)/2 + 22949*x^7 + (41619*x^8)/8 - 23370*x^9 - 24030*x^10 - (81000*x^11)/11","A",2,1,22,0.04545,1,"{88}"
1376,1,59,0,0.0249694,"\int (1-2 x)^3 (2+3 x)^3 (3+5 x)^3 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^3*(3 + 5*x)^3,x]","-2700 x^{10}-6900 x^9-\frac{14355 x^8}{4}+\frac{33013 x^7}{7}+\frac{10513 x^6}{2}-\frac{1419 x^5}{5}-\frac{8693 x^4}{4}-534 x^3+378 x^2+216 x","-2700 x^{10}-6900 x^9-\frac{14355 x^8}{4}+\frac{33013 x^7}{7}+\frac{10513 x^6}{2}-\frac{1419 x^5}{5}-\frac{8693 x^4}{4}-534 x^3+378 x^2+216 x",1,"216*x + 378*x^2 - 534*x^3 - (8693*x^4)/4 - (1419*x^5)/5 + (10513*x^6)/2 + (33013*x^7)/7 - (14355*x^8)/4 - 6900*x^9 - 2700*x^10","A",2,1,22,0.04545,1,"{88}"
1377,1,54,0,0.0225201,"\int (1-2 x)^3 (2+3 x)^2 (3+5 x)^3 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)^2*(3 + 5*x)^3,x]","-1000 x^9-\frac{3675 x^8}{2}+\frac{230 x^7}{7}+\frac{3617 x^6}{2}+\frac{3279 x^5}{5}-\frac{2659 x^4}{4}-375 x^3+108 x^2+108 x","-1000 x^9-\frac{3675 x^8}{2}+\frac{230 x^7}{7}+\frac{3617 x^6}{2}+\frac{3279 x^5}{5}-\frac{2659 x^4}{4}-375 x^3+108 x^2+108 x",1,"108*x + 108*x^2 - 375*x^3 - (2659*x^4)/4 + (3279*x^5)/5 + (3617*x^6)/2 + (230*x^7)/7 - (3675*x^8)/2 - 1000*x^9","A",2,1,22,0.04545,1,"{88}"
1378,1,47,0,0.0181664,"\int (1-2 x)^3 (2+3 x) (3+5 x)^3 \, dx","Int[(1 - 2*x)^3*(2 + 3*x)*(3 + 5*x)^3,x]","-375 x^8-\frac{2900 x^7}{7}+335 x^6+\frac{2277 x^5}{5}-\frac{425 x^4}{4}-201 x^3+\frac{27 x^2}{2}+54 x","-375 x^8-\frac{2900 x^7}{7}+335 x^6+\frac{2277 x^5}{5}-\frac{425 x^4}{4}-201 x^3+\frac{27 x^2}{2}+54 x",1,"54*x + (27*x^2)/2 - 201*x^3 - (425*x^4)/4 + (2277*x^5)/5 + 335*x^6 - (2900*x^7)/7 - 375*x^8","A",2,1,20,0.05000,1,"{77}"
1379,1,40,0,0.0153185,"\int (1-2 x)^3 (3+5 x)^3 \, dx","Int[(1 - 2*x)^3*(3 + 5*x)^3,x]","-\frac{1000 x^7}{7}-50 x^6+174 x^5+\frac{179 x^4}{4}-87 x^3-\frac{27 x^2}{2}+27 x","-\frac{1000 x^7}{7}-50 x^6+174 x^5+\frac{179 x^4}{4}-87 x^3-\frac{27 x^2}{2}+27 x",1,"27*x - (27*x^2)/2 - 87*x^3 + (179*x^4)/4 + 174*x^5 - 50*x^6 - (1000*x^7)/7","A",2,1,15,0.06667,1,"{43}"
1380,1,51,0,0.0222937,"\int \frac{(1-2 x)^3 (3+5 x)^3}{2+3 x} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^3)/(2 + 3*x),x]","-\frac{500 x^6}{9}+\frac{220 x^5}{9}+\frac{2815 x^4}{54}-\frac{6427 x^3}{243}-\frac{8287 x^2}{486}+\frac{10013 x}{729}-\frac{343 \log (3 x+2)}{2187}","-\frac{500 x^6}{9}+\frac{220 x^5}{9}+\frac{2815 x^4}{54}-\frac{6427 x^3}{243}-\frac{8287 x^2}{486}+\frac{10013 x}{729}-\frac{343 \log (3 x+2)}{2187}",1,"(10013*x)/729 - (8287*x^2)/486 - (6427*x^3)/243 + (2815*x^4)/54 + (220*x^5)/9 - (500*x^6)/9 - (343*Log[2 + 3*x])/2187","A",2,1,22,0.04545,1,"{88}"
1381,1,55,0,0.0253455,"\int \frac{(1-2 x)^3 (3+5 x)^3}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^3)/(2 + 3*x)^2,x]","-\frac{200 x^5}{9}+\frac{775 x^4}{27}-\frac{190 x^3}{81}-\frac{5287 x^2}{486}+\frac{2287 x}{729}+\frac{343}{2187 (3 x+2)}+\frac{1813}{729} \log (3 x+2)","-\frac{200 x^5}{9}+\frac{775 x^4}{27}-\frac{190 x^3}{81}-\frac{5287 x^2}{486}+\frac{2287 x}{729}+\frac{343}{2187 (3 x+2)}+\frac{1813}{729} \log (3 x+2)",1,"(2287*x)/729 - (5287*x^2)/486 - (190*x^3)/81 + (775*x^4)/27 - (200*x^5)/9 + 343/(2187*(2 + 3*x)) + (1813*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1382,1,59,0,0.0270603,"\int \frac{(1-2 x)^3 (3+5 x)^3}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^3)/(2 + 3*x)^3,x]","-\frac{250 x^4}{27}+\frac{1700 x^3}{81}-\frac{1795 x^2}{81}+\frac{16253 x}{729}-\frac{1813}{729 (3 x+2)}+\frac{343}{4374 (3 x+2)^2}-\frac{10073}{729} \log (3 x+2)","-\frac{250 x^4}{27}+\frac{1700 x^3}{81}-\frac{1795 x^2}{81}+\frac{16253 x}{729}-\frac{1813}{729 (3 x+2)}+\frac{343}{4374 (3 x+2)^2}-\frac{10073}{729} \log (3 x+2)",1,"(16253*x)/729 - (1795*x^2)/81 + (1700*x^3)/81 - (250*x^4)/27 + 343/(4374*(2 + 3*x)^2) - 1813/(729*(2 + 3*x)) - (10073*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1383,1,63,0,0.0301268,"\int \frac{(1-2 x)^3 (3+5 x)^3}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^3)/(2 + 3*x)^4,x]","-\frac{1000 x^3}{243}+\frac{3550 x^2}{243}-\frac{24970 x}{729}+\frac{10073}{729 (3 x+2)}-\frac{1813}{1458 (3 x+2)^2}+\frac{343}{6561 (3 x+2)^3}+\frac{66193 \log (3 x+2)}{2187}","-\frac{1000 x^3}{243}+\frac{3550 x^2}{243}-\frac{24970 x}{729}+\frac{10073}{729 (3 x+2)}-\frac{1813}{1458 (3 x+2)^2}+\frac{343}{6561 (3 x+2)^3}+\frac{66193 \log (3 x+2)}{2187}",1,"(-24970*x)/729 + (3550*x^2)/243 - (1000*x^3)/243 + 343/(6561*(2 + 3*x)^3) - 1813/(1458*(2 + 3*x)^2) + 10073/(729*(2 + 3*x)) + (66193*Log[2 + 3*x])/2187","A",2,1,22,0.04545,1,"{88}"
1384,1,67,0,0.0303992,"\int \frac{(1-2 x)^3 (3+5 x)^3}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^3)/(2 + 3*x)^5,x]","-\frac{500 x^2}{243}+\frac{9100 x}{729}-\frac{66193}{2187 (3 x+2)}+\frac{10073}{1458 (3 x+2)^2}-\frac{1813}{2187 (3 x+2)^3}+\frac{343}{8748 (3 x+2)^4}-\frac{14390}{729} \log (3 x+2)","-\frac{500 x^2}{243}+\frac{9100 x}{729}-\frac{66193}{2187 (3 x+2)}+\frac{10073}{1458 (3 x+2)^2}-\frac{1813}{2187 (3 x+2)^3}+\frac{343}{8748 (3 x+2)^4}-\frac{14390}{729} \log (3 x+2)",1,"(9100*x)/729 - (500*x^2)/243 + 343/(8748*(2 + 3*x)^4) - 1813/(2187*(2 + 3*x)^3) + 10073/(1458*(2 + 3*x)^2) - 66193/(2187*(2 + 3*x)) - (14390*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1385,1,71,0,0.0274804,"\int \frac{(1-2 x)^3 (3+5 x)^3}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^3)/(2 + 3*x)^6,x]","-\frac{1000 x}{729}+\frac{14390}{729 (3 x+2)}-\frac{66193}{4374 (3 x+2)^2}+\frac{10073}{2187 (3 x+2)^3}-\frac{1813}{2916 (3 x+2)^4}+\frac{343}{10935 (3 x+2)^5}+\frac{3700}{729} \log (3 x+2)","-\frac{1000 x}{729}+\frac{14390}{729 (3 x+2)}-\frac{66193}{4374 (3 x+2)^2}+\frac{10073}{2187 (3 x+2)^3}-\frac{1813}{2916 (3 x+2)^4}+\frac{343}{10935 (3 x+2)^5}+\frac{3700}{729} \log (3 x+2)",1,"(-1000*x)/729 + 343/(10935*(2 + 3*x)^5) - 1813/(2916*(2 + 3*x)^4) + 10073/(2187*(2 + 3*x)^3) - 66193/(4374*(2 + 3*x)^2) + 14390/(729*(2 + 3*x)) + (3700*Log[2 + 3*x])/729","A",2,1,22,0.04545,1,"{88}"
1386,1,77,0,0.0291057,"\int \frac{(1-2 x)^3 (3+5 x)^3}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^3)/(2 + 3*x)^7,x]","-\frac{3700}{729 (3 x+2)}+\frac{7195}{729 (3 x+2)^2}-\frac{66193}{6561 (3 x+2)^3}+\frac{10073}{2916 (3 x+2)^4}-\frac{1813}{3645 (3 x+2)^5}+\frac{343}{13122 (3 x+2)^6}-\frac{1000 \log (3 x+2)}{2187}","-\frac{3700}{729 (3 x+2)}+\frac{7195}{729 (3 x+2)^2}-\frac{66193}{6561 (3 x+2)^3}+\frac{10073}{2916 (3 x+2)^4}-\frac{1813}{3645 (3 x+2)^5}+\frac{343}{13122 (3 x+2)^6}-\frac{1000 \log (3 x+2)}{2187}",1,"343/(13122*(2 + 3*x)^6) - 1813/(3645*(2 + 3*x)^5) + 10073/(2916*(2 + 3*x)^4) - 66193/(6561*(2 + 3*x)^3) + 7195/(729*(2 + 3*x)^2) - 3700/(729*(2 + 3*x)) - (1000*Log[2 + 3*x])/2187","A",2,1,22,0.04545,1,"{88}"
1387,1,78,0,0.0271129,"\int \frac{(1-2 x)^3 (3+5 x)^3}{(2+3 x)^8} \, dx","Int[((1 - 2*x)^3*(3 + 5*x)^3)/(2 + 3*x)^8,x]","\frac{1000}{2187 (3 x+2)}-\frac{1850}{729 (3 x+2)^2}+\frac{14390}{2187 (3 x+2)^3}-\frac{66193}{8748 (3 x+2)^4}+\frac{10073}{3645 (3 x+2)^5}-\frac{1813}{4374 (3 x+2)^6}+\frac{49}{2187 (3 x+2)^7}","\frac{1000}{2187 (3 x+2)}-\frac{1850}{729 (3 x+2)^2}+\frac{14390}{2187 (3 x+2)^3}-\frac{66193}{8748 (3 x+2)^4}+\frac{10073}{3645 (3 x+2)^5}-\frac{1813}{4374 (3 x+2)^6}+\frac{49}{2187 (3 x+2)^7}",1,"49/(2187*(2 + 3*x)^7) - 1813/(4374*(2 + 3*x)^6) + 10073/(3645*(2 + 3*x)^5) - 66193/(8748*(2 + 3*x)^4) + 14390/(2187*(2 + 3*x)^3) - 1850/(729*(2 + 3*x)^2) + 1000/(2187*(2 + 3*x))","A",2,1,22,0.04545,1,"{88}"
1388,1,72,0,0.0310059,"\int \frac{(1-2 x)^3 (2+3 x)^6}{3+5 x} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^6)/(3 + 5*x),x]","-\frac{648 x^9}{5}-\frac{13851 x^8}{50}-\frac{40338 x^7}{875}+\frac{331713 x^6}{1250}+\frac{2212083 x^5}{15625}-\frac{5848749 x^4}{62500}-\frac{17453753 x^3}{234375}+\frac{11111259 x^2}{781250}+\frac{41666223 x}{1953125}+\frac{1331 \log (5 x+3)}{9765625}","-\frac{648 x^9}{5}-\frac{13851 x^8}{50}-\frac{40338 x^7}{875}+\frac{331713 x^6}{1250}+\frac{2212083 x^5}{15625}-\frac{5848749 x^4}{62500}-\frac{17453753 x^3}{234375}+\frac{11111259 x^2}{781250}+\frac{41666223 x}{1953125}+\frac{1331 \log (5 x+3)}{9765625}",1,"(41666223*x)/1953125 + (11111259*x^2)/781250 - (17453753*x^3)/234375 - (5848749*x^4)/62500 + (2212083*x^5)/15625 + (331713*x^6)/1250 - (40338*x^7)/875 - (13851*x^8)/50 - (648*x^9)/5 + (1331*Log[3 + 5*x])/9765625","A",2,1,22,0.04545,1,"{88}"
1389,1,65,0,0.0286008,"\int \frac{(1-2 x)^3 (2+3 x)^5}{3+5 x} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^5)/(3 + 5*x),x]","-\frac{243 x^8}{5}-\frac{11988 x^7}{175}+\frac{4419 x^6}{125}+\frac{243333 x^5}{3125}-\frac{73749 x^4}{12500}-\frac{1703753 x^3}{46875}-\frac{138741 x^2}{156250}+\frac{4166223 x}{390625}+\frac{1331 \log (5 x+3)}{1953125}","-\frac{243 x^8}{5}-\frac{11988 x^7}{175}+\frac{4419 x^6}{125}+\frac{243333 x^5}{3125}-\frac{73749 x^4}{12500}-\frac{1703753 x^3}{46875}-\frac{138741 x^2}{156250}+\frac{4166223 x}{390625}+\frac{1331 \log (5 x+3)}{1953125}",1,"(4166223*x)/390625 - (138741*x^2)/156250 - (1703753*x^3)/46875 - (73749*x^4)/12500 + (243333*x^5)/3125 + (4419*x^6)/125 - (11988*x^7)/175 - (243*x^8)/5 + (1331*Log[3 + 5*x])/1953125","A",2,1,22,0.04545,1,"{88}"
1390,1,58,0,0.0252993,"\int \frac{(1-2 x)^3 (2+3 x)^4}{3+5 x} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^4)/(3 + 5*x),x]","-\frac{648 x^7}{35}-\frac{306 x^6}{25}+\frac{14958 x^5}{625}+\frac{31251 x^4}{2500}-\frac{128753 x^3}{9375}-\frac{138741 x^2}{31250}+\frac{416223 x}{78125}+\frac{1331 \log (5 x+3)}{390625}","-\frac{648 x^7}{35}-\frac{306 x^6}{25}+\frac{14958 x^5}{625}+\frac{31251 x^4}{2500}-\frac{128753 x^3}{9375}-\frac{138741 x^2}{31250}+\frac{416223 x}{78125}+\frac{1331 \log (5 x+3)}{390625}",1,"(416223*x)/78125 - (138741*x^2)/31250 - (128753*x^3)/9375 + (31251*x^4)/2500 + (14958*x^5)/625 - (306*x^6)/25 - (648*x^7)/35 + (1331*Log[3 + 5*x])/390625","A",2,1,22,0.04545,1,"{88}"
1391,1,51,0,0.0225145,"\int \frac{(1-2 x)^3 (2+3 x)^3}{3+5 x} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^3)/(3 + 5*x),x]","-\frac{36 x^6}{5}+\frac{108 x^5}{125}+\frac{2313 x^4}{250}-\frac{5003 x^3}{1875}-\frac{26241 x^2}{6250}+\frac{41223 x}{15625}+\frac{1331 \log (5 x+3)}{78125}","-\frac{36 x^6}{5}+\frac{108 x^5}{125}+\frac{2313 x^4}{250}-\frac{5003 x^3}{1875}-\frac{26241 x^2}{6250}+\frac{41223 x}{15625}+\frac{1331 \log (5 x+3)}{78125}",1,"(41223*x)/15625 - (26241*x^2)/6250 - (5003*x^3)/1875 + (2313*x^4)/250 + (108*x^5)/125 - (36*x^6)/5 + (1331*Log[3 + 5*x])/78125","A",2,1,22,0.04545,1,"{88}"
1392,1,44,0,0.0201064,"\int \frac{(1-2 x)^3 (2+3 x)^2}{3+5 x} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^2)/(3 + 5*x),x]","-\frac{72 x^5}{25}+\frac{69 x^4}{25}+\frac{622 x^3}{375}-\frac{3741 x^2}{1250}+\frac{3723 x}{3125}+\frac{1331 \log (5 x+3)}{15625}","-\frac{72 x^5}{25}+\frac{69 x^4}{25}+\frac{622 x^3}{375}-\frac{3741 x^2}{1250}+\frac{3723 x}{3125}+\frac{1331 \log (5 x+3)}{15625}",1,"(3723*x)/3125 - (3741*x^2)/1250 + (622*x^3)/375 + (69*x^4)/25 - (72*x^5)/25 + (1331*Log[3 + 5*x])/15625","A",2,1,22,0.04545,1,"{88}"
1393,1,37,0,0.0131486,"\int \frac{(1-2 x)^3 (2+3 x)}{3+5 x} \, dx","Int[((1 - 2*x)^3*(2 + 3*x))/(3 + 5*x),x]","-\frac{6 x^4}{5}+\frac{172 x^3}{75}-\frac{183 x^2}{125}-\frac{27 x}{625}+\frac{1331 \log (5 x+3)}{3125}","-\frac{6 x^4}{5}+\frac{172 x^3}{75}-\frac{183 x^2}{125}-\frac{27 x}{625}+\frac{1331 \log (5 x+3)}{3125}",1,"(-27*x)/625 - (183*x^2)/125 + (172*x^3)/75 - (6*x^4)/5 + (1331*Log[3 + 5*x])/3125","A",2,1,20,0.05000,1,"{77}"
1394,1,30,0,0.0100767,"\int \frac{(1-2 x)^3}{3+5 x} \, dx","Int[(1 - 2*x)^3/(3 + 5*x),x]","-\frac{8 x^3}{15}+\frac{42 x^2}{25}-\frac{402 x}{125}+\frac{1331}{625} \log (5 x+3)","-\frac{8 x^3}{15}+\frac{42 x^2}{25}-\frac{402 x}{125}+\frac{1331}{625} \log (5 x+3)",1,"(-402*x)/125 + (42*x^2)/25 - (8*x^3)/15 + (1331*Log[3 + 5*x])/625","A",2,1,15,0.06667,1,"{43}"
1395,1,33,0,0.0138556,"\int \frac{(1-2 x)^3}{(2+3 x) (3+5 x)} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)*(3 + 5*x)),x]","-\frac{4 x^2}{15}+\frac{332 x}{225}-\frac{343}{27} \log (3 x+2)+\frac{1331}{125} \log (5 x+3)","-\frac{4 x^2}{15}+\frac{332 x}{225}-\frac{343}{27} \log (3 x+2)+\frac{1331}{125} \log (5 x+3)",1,"(332*x)/225 - (4*x^2)/15 - (343*Log[2 + 3*x])/27 + (1331*Log[3 + 5*x])/125","A",2,1,22,0.04545,1,"{72}"
1396,1,37,0,0.0157198,"\int \frac{(1-2 x)^3}{(2+3 x)^2 (3+5 x)} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^2*(3 + 5*x)),x]","-\frac{8 x}{45}+\frac{343}{27 (3 x+2)}-\frac{1421}{27} \log (3 x+2)+\frac{1331}{25} \log (5 x+3)","-\frac{8 x}{45}+\frac{343}{27 (3 x+2)}-\frac{1421}{27} \log (3 x+2)+\frac{1331}{25} \log (5 x+3)",1,"(-8*x)/45 + 343/(27*(2 + 3*x)) - (1421*Log[2 + 3*x])/27 + (1331*Log[3 + 5*x])/25","A",2,1,22,0.04545,1,"{88}"
1397,1,43,0,0.0170406,"\int \frac{(1-2 x)^3}{(2+3 x)^3 (3+5 x)} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^3*(3 + 5*x)),x]","\frac{1421}{27 (3 x+2)}+\frac{343}{54 (3 x+2)^2}-\frac{7189}{27} \log (3 x+2)+\frac{1331}{5} \log (5 x+3)","\frac{1421}{27 (3 x+2)}+\frac{343}{54 (3 x+2)^2}-\frac{7189}{27} \log (3 x+2)+\frac{1331}{5} \log (5 x+3)",1,"343/(54*(2 + 3*x)^2) + 1421/(27*(2 + 3*x)) - (7189*Log[2 + 3*x])/27 + (1331*Log[3 + 5*x])/5","A",2,1,22,0.04545,1,"{88}"
1398,1,50,0,0.0217267,"\int \frac{(1-2 x)^3}{(2+3 x)^4 (3+5 x)} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^4*(3 + 5*x)),x]","\frac{7189}{27 (3 x+2)}+\frac{1421}{54 (3 x+2)^2}+\frac{343}{81 (3 x+2)^3}-1331 \log (3 x+2)+1331 \log (5 x+3)","\frac{7189}{27 (3 x+2)}+\frac{1421}{54 (3 x+2)^2}+\frac{343}{81 (3 x+2)^3}-1331 \log (3 x+2)+1331 \log (5 x+3)",1,"343/(81*(2 + 3*x)^3) + 1421/(54*(2 + 3*x)^2) + 7189/(27*(2 + 3*x)) - 1331*Log[2 + 3*x] + 1331*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1399,1,59,0,0.0251028,"\int \frac{(1-2 x)^3}{(2+3 x)^5 (3+5 x)} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^5*(3 + 5*x)),x]","\frac{1331}{3 x+2}+\frac{7189}{54 (3 x+2)^2}+\frac{1421}{81 (3 x+2)^3}+\frac{343}{108 (3 x+2)^4}-6655 \log (3 x+2)+6655 \log (5 x+3)","\frac{1331}{3 x+2}+\frac{7189}{54 (3 x+2)^2}+\frac{1421}{81 (3 x+2)^3}+\frac{343}{108 (3 x+2)^4}-6655 \log (3 x+2)+6655 \log (5 x+3)",1,"343/(108*(2 + 3*x)^4) + 1421/(81*(2 + 3*x)^3) + 7189/(54*(2 + 3*x)^2) + 1331/(2 + 3*x) - 6655*Log[2 + 3*x] + 6655*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1400,1,70,0,0.0273518,"\int \frac{(1-2 x)^3}{(2+3 x)^6 (3+5 x)} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^6*(3 + 5*x)),x]","\frac{6655}{3 x+2}+\frac{1331}{2 (3 x+2)^2}+\frac{7189}{81 (3 x+2)^3}+\frac{1421}{108 (3 x+2)^4}+\frac{343}{135 (3 x+2)^5}-33275 \log (3 x+2)+33275 \log (5 x+3)","\frac{6655}{3 x+2}+\frac{1331}{2 (3 x+2)^2}+\frac{7189}{81 (3 x+2)^3}+\frac{1421}{108 (3 x+2)^4}+\frac{343}{135 (3 x+2)^5}-33275 \log (3 x+2)+33275 \log (5 x+3)",1,"343/(135*(2 + 3*x)^5) + 1421/(108*(2 + 3*x)^4) + 7189/(81*(2 + 3*x)^3) + 1331/(2*(2 + 3*x)^2) + 6655/(2 + 3*x) - 33275*Log[2 + 3*x] + 33275*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1401,1,81,0,0.0336496,"\int \frac{(1-2 x)^3}{(2+3 x)^7 (3+5 x)} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^7*(3 + 5*x)),x]","\frac{33275}{3 x+2}+\frac{6655}{2 (3 x+2)^2}+\frac{1331}{3 (3 x+2)^3}+\frac{7189}{108 (3 x+2)^4}+\frac{1421}{135 (3 x+2)^5}+\frac{343}{162 (3 x+2)^6}-166375 \log (3 x+2)+166375 \log (5 x+3)","\frac{33275}{3 x+2}+\frac{6655}{2 (3 x+2)^2}+\frac{1331}{3 (3 x+2)^3}+\frac{7189}{108 (3 x+2)^4}+\frac{1421}{135 (3 x+2)^5}+\frac{343}{162 (3 x+2)^6}-166375 \log (3 x+2)+166375 \log (5 x+3)",1,"343/(162*(2 + 3*x)^6) + 1421/(135*(2 + 3*x)^5) + 7189/(108*(2 + 3*x)^4) + 1331/(3*(2 + 3*x)^3) + 6655/(2*(2 + 3*x)^2) + 33275/(2 + 3*x) - 166375*Log[2 + 3*x] + 166375*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1402,1,92,0,0.0384049,"\int \frac{(1-2 x)^3}{(2+3 x)^8 (3+5 x)} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^8*(3 + 5*x)),x]","\frac{166375}{3 x+2}+\frac{33275}{2 (3 x+2)^2}+\frac{6655}{3 (3 x+2)^3}+\frac{1331}{4 (3 x+2)^4}+\frac{7189}{135 (3 x+2)^5}+\frac{1421}{162 (3 x+2)^6}+\frac{49}{27 (3 x+2)^7}-831875 \log (3 x+2)+831875 \log (5 x+3)","\frac{166375}{3 x+2}+\frac{33275}{2 (3 x+2)^2}+\frac{6655}{3 (3 x+2)^3}+\frac{1331}{4 (3 x+2)^4}+\frac{7189}{135 (3 x+2)^5}+\frac{1421}{162 (3 x+2)^6}+\frac{49}{27 (3 x+2)^7}-831875 \log (3 x+2)+831875 \log (5 x+3)",1,"49/(27*(2 + 3*x)^7) + 1421/(162*(2 + 3*x)^6) + 7189/(135*(2 + 3*x)^5) + 1331/(4*(2 + 3*x)^4) + 6655/(3*(2 + 3*x)^3) + 33275/(2*(2 + 3*x)^2) + 166375/(2 + 3*x) - 831875*Log[2 + 3*x] + 831875*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1403,1,76,0,0.0387137,"\int \frac{(1-2 x)^3 (2+3 x)^6}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^6)/(3 + 5*x)^2,x]","-\frac{729 x^8}{25}-\frac{37908 x^7}{875}+\frac{12231 x^6}{625}+\frac{774981 x^5}{15625}-\frac{5643 x^4}{3125}-\frac{1836723 x^3}{78125}-\frac{461623 x^2}{390625}+\frac{13880997 x}{1953125}-\frac{1331}{9765625 (5 x+3)}+\frac{23232 \log (5 x+3)}{9765625}","-\frac{729 x^8}{25}-\frac{37908 x^7}{875}+\frac{12231 x^6}{625}+\frac{774981 x^5}{15625}-\frac{5643 x^4}{3125}-\frac{1836723 x^3}{78125}-\frac{461623 x^2}{390625}+\frac{13880997 x}{1953125}-\frac{1331}{9765625 (5 x+3)}+\frac{23232 \log (5 x+3)}{9765625}",1,"(13880997*x)/1953125 - (461623*x^2)/390625 - (1836723*x^3)/78125 - (5643*x^4)/3125 + (774981*x^5)/15625 + (12231*x^6)/625 - (37908*x^7)/875 - (729*x^8)/25 - 1331/(9765625*(3 + 5*x)) + (23232*Log[3 + 5*x])/9765625","A",2,1,22,0.04545,1,"{88}"
1404,1,69,0,0.0349932,"\int \frac{(1-2 x)^3 (2+3 x)^5}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^5)/(3 + 5*x)^2,x]","-\frac{1944 x^7}{175}-\frac{1026 x^6}{125}+\frac{44982 x^5}{3125}+\frac{108387 x^4}{12500}-\frac{26594 x^3}{3125}-\frac{507023 x^2}{156250}+\frac{1382328 x}{390625}-\frac{1331}{1953125 (5 x+3)}+\frac{19239 \log (5 x+3)}{1953125}","-\frac{1944 x^7}{175}-\frac{1026 x^6}{125}+\frac{44982 x^5}{3125}+\frac{108387 x^4}{12500}-\frac{26594 x^3}{3125}-\frac{507023 x^2}{156250}+\frac{1382328 x}{390625}-\frac{1331}{1953125 (5 x+3)}+\frac{19239 \log (5 x+3)}{1953125}",1,"(1382328*x)/390625 - (507023*x^2)/156250 - (26594*x^3)/3125 + (108387*x^4)/12500 + (44982*x^5)/3125 - (1026*x^6)/125 - (1944*x^7)/175 - 1331/(1953125*(3 + 5*x)) + (19239*Log[3 + 5*x])/1953125","A",2,1,22,0.04545,1,"{88}"
1405,1,62,0,0.0285736,"\int \frac{(1-2 x)^3 (2+3 x)^4}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^4)/(3 + 5*x)^2,x]","-\frac{108 x^6}{25}+\frac{108 x^5}{625}+\frac{7317 x^4}{1250}-\frac{4217 x^3}{3125}-\frac{1816 x^2}{625}+\frac{133659 x}{78125}-\frac{1331}{390625 (5 x+3)}+\frac{15246 \log (5 x+3)}{390625}","-\frac{108 x^6}{25}+\frac{108 x^5}{625}+\frac{7317 x^4}{1250}-\frac{4217 x^3}{3125}-\frac{1816 x^2}{625}+\frac{133659 x}{78125}-\frac{1331}{390625 (5 x+3)}+\frac{15246 \log (5 x+3)}{390625}",1,"(133659*x)/78125 - (1816*x^2)/625 - (4217*x^3)/3125 + (7317*x^4)/1250 + (108*x^5)/625 - (108*x^6)/25 - 1331/(390625*(3 + 5*x)) + (15246*Log[3 + 5*x])/390625","A",2,1,22,0.04545,1,"{88}"
1406,1,55,0,0.0267051,"\int \frac{(1-2 x)^3 (2+3 x)^3}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^3)/(3 + 5*x)^2,x]","-\frac{216 x^5}{125}+\frac{189 x^4}{125}+\frac{786 x^3}{625}-\frac{12077 x^2}{6250}+\frac{1998 x}{3125}-\frac{1331}{78125 (5 x+3)}+\frac{11253 \log (5 x+3)}{78125}","-\frac{216 x^5}{125}+\frac{189 x^4}{125}+\frac{786 x^3}{625}-\frac{12077 x^2}{6250}+\frac{1998 x}{3125}-\frac{1331}{78125 (5 x+3)}+\frac{11253 \log (5 x+3)}{78125}",1,"(1998*x)/3125 - (12077*x^2)/6250 + (786*x^3)/625 + (189*x^4)/125 - (216*x^5)/125 - 1331/(78125*(3 + 5*x)) + (11253*Log[3 + 5*x])/78125","A",2,1,22,0.04545,1,"{88}"
1407,1,48,0,0.0223557,"\int \frac{(1-2 x)^3 (2+3 x)^2}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^2)/(3 + 5*x)^2,x]","-\frac{18 x^4}{25}+\frac{164 x^3}{125}-\frac{427 x^2}{625}-\frac{1179 x}{3125}-\frac{1331}{15625 (5 x+3)}+\frac{1452 \log (5 x+3)}{3125}","-\frac{18 x^4}{25}+\frac{164 x^3}{125}-\frac{427 x^2}{625}-\frac{1179 x}{3125}-\frac{1331}{15625 (5 x+3)}+\frac{1452 \log (5 x+3)}{3125}",1,"(-1179*x)/3125 - (427*x^2)/625 + (164*x^3)/125 - (18*x^4)/25 - 1331/(15625*(3 + 5*x)) + (1452*Log[3 + 5*x])/3125","A",2,1,22,0.04545,1,"{88}"
1408,1,41,0,0.0185232,"\int \frac{(1-2 x)^3 (2+3 x)}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^3*(2 + 3*x))/(3 + 5*x)^2,x]","-\frac{8 x^3}{25}+\frac{122 x^2}{125}-\frac{1098 x}{625}-\frac{1331}{3125 (5 x+3)}+\frac{3267 \log (5 x+3)}{3125}","-\frac{8 x^3}{25}+\frac{122 x^2}{125}-\frac{1098 x}{625}-\frac{1331}{3125 (5 x+3)}+\frac{3267 \log (5 x+3)}{3125}",1,"(-1098*x)/625 + (122*x^2)/125 - (8*x^3)/25 - 1331/(3125*(3 + 5*x)) + (3267*Log[3 + 5*x])/3125","A",2,1,20,0.05000,1,"{77}"
1409,1,34,0,0.01423,"\int \frac{(1-2 x)^3}{(3+5 x)^2} \, dx","Int[(1 - 2*x)^3/(3 + 5*x)^2,x]","-\frac{4 x^2}{25}+\frac{108 x}{125}-\frac{1331}{625 (5 x+3)}-\frac{726}{625} \log (5 x+3)","-\frac{4 x^2}{25}+\frac{108 x}{125}-\frac{1331}{625 (5 x+3)}-\frac{726}{625} \log (5 x+3)",1,"(108*x)/125 - (4*x^2)/25 - 1331/(625*(3 + 5*x)) - (726*Log[3 + 5*x])/625","A",2,1,15,0.06667,1,"{43}"
1410,1,37,0,0.0189843,"\int \frac{(1-2 x)^3}{(2+3 x) (3+5 x)^2} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)*(3 + 5*x)^2),x]","-\frac{8 x}{75}-\frac{1331}{125 (5 x+3)}+\frac{343}{9} \log (3 x+2)-\frac{4719}{125} \log (5 x+3)","-\frac{8 x}{75}-\frac{1331}{125 (5 x+3)}+\frac{343}{9} \log (3 x+2)-\frac{4719}{125} \log (5 x+3)",1,"(-8*x)/75 - 1331/(125*(3 + 5*x)) + (343*Log[2 + 3*x])/9 - (4719*Log[3 + 5*x])/125","A",2,1,22,0.04545,1,"{88}"
1411,1,43,0,0.019281,"\int \frac{(1-2 x)^3}{(2+3 x)^2 (3+5 x)^2} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^2*(3 + 5*x)^2),x]","-\frac{343}{9 (3 x+2)}-\frac{1331}{25 (5 x+3)}+\frac{3136}{9} \log (3 x+2)-\frac{8712}{25} \log (5 x+3)","-\frac{343}{9 (3 x+2)}-\frac{1331}{25 (5 x+3)}+\frac{3136}{9} \log (3 x+2)-\frac{8712}{25} \log (5 x+3)",1,"-343/(9*(2 + 3*x)) - 1331/(25*(3 + 5*x)) + (3136*Log[2 + 3*x])/9 - (8712*Log[3 + 5*x])/25","A",2,1,22,0.04545,1,"{88}"
1412,1,50,0,0.0258822,"\int \frac{(1-2 x)^3}{(2+3 x)^3 (3+5 x)^2} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^3*(3 + 5*x)^2),x]","-\frac{3136}{9 (3 x+2)}-\frac{1331}{5 (5 x+3)}-\frac{343}{18 (3 x+2)^2}+2541 \log (3 x+2)-2541 \log (5 x+3)","-\frac{3136}{9 (3 x+2)}-\frac{1331}{5 (5 x+3)}-\frac{343}{18 (3 x+2)^2}+2541 \log (3 x+2)-2541 \log (5 x+3)",1,"-343/(18*(2 + 3*x)^2) - 3136/(9*(2 + 3*x)) - 1331/(5*(3 + 5*x)) + 2541*Log[2 + 3*x] - 2541*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1413,1,57,0,0.0289954,"\int \frac{(1-2 x)^3}{(2+3 x)^4 (3+5 x)^2} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^4*(3 + 5*x)^2),x]","-\frac{2541}{3 x+2}-\frac{1331}{5 x+3}-\frac{1568}{9 (3 x+2)^2}-\frac{343}{27 (3 x+2)^3}+16698 \log (3 x+2)-16698 \log (5 x+3)","-\frac{2541}{3 x+2}-\frac{1331}{5 x+3}-\frac{1568}{9 (3 x+2)^2}-\frac{343}{27 (3 x+2)^3}+16698 \log (3 x+2)-16698 \log (5 x+3)",1,"-343/(27*(2 + 3*x)^3) - 1568/(9*(2 + 3*x)^2) - 2541/(2 + 3*x) - 1331/(3 + 5*x) + 16698*Log[2 + 3*x] - 16698*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1414,1,68,0,0.0370769,"\int \frac{(1-2 x)^3}{(2+3 x)^5 (3+5 x)^2} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^5*(3 + 5*x)^2),x]","-\frac{16698}{3 x+2}-\frac{6655}{5 x+3}-\frac{2541}{2 (3 x+2)^2}-\frac{3136}{27 (3 x+2)^3}-\frac{343}{36 (3 x+2)^4}+103455 \log (3 x+2)-103455 \log (5 x+3)","-\frac{16698}{3 x+2}-\frac{6655}{5 x+3}-\frac{2541}{2 (3 x+2)^2}-\frac{3136}{27 (3 x+2)^3}-\frac{343}{36 (3 x+2)^4}+103455 \log (3 x+2)-103455 \log (5 x+3)",1,"-343/(36*(2 + 3*x)^4) - 3136/(27*(2 + 3*x)^3) - 2541/(2*(2 + 3*x)^2) - 16698/(2 + 3*x) - 6655/(3 + 5*x) + 103455*Log[2 + 3*x] - 103455*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1415,1,75,0,0.0404303,"\int \frac{(1-2 x)^3}{(2+3 x)^6 (3+5 x)^2} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^6*(3 + 5*x)^2),x]","-\frac{103455}{3 x+2}-\frac{33275}{5 x+3}-\frac{8349}{(3 x+2)^2}-\frac{847}{(3 x+2)^3}-\frac{784}{9 (3 x+2)^4}-\frac{343}{45 (3 x+2)^5}+617100 \log (3 x+2)-617100 \log (5 x+3)","-\frac{103455}{3 x+2}-\frac{33275}{5 x+3}-\frac{8349}{(3 x+2)^2}-\frac{847}{(3 x+2)^3}-\frac{784}{9 (3 x+2)^4}-\frac{343}{45 (3 x+2)^5}+617100 \log (3 x+2)-617100 \log (5 x+3)",1,"-343/(45*(2 + 3*x)^5) - 784/(9*(2 + 3*x)^4) - 847/(2 + 3*x)^3 - 8349/(2 + 3*x)^2 - 103455/(2 + 3*x) - 33275/(3 + 5*x) + 617100*Log[2 + 3*x] - 617100*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1416,1,88,0,0.0478557,"\int \frac{(1-2 x)^3}{(2+3 x)^7 (3+5 x)^2} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^7*(3 + 5*x)^2),x]","-\frac{617100}{3 x+2}-\frac{166375}{5 x+3}-\frac{103455}{2 (3 x+2)^2}-\frac{5566}{(3 x+2)^3}-\frac{2541}{4 (3 x+2)^4}-\frac{3136}{45 (3 x+2)^5}-\frac{343}{54 (3 x+2)^6}+3584625 \log (3 x+2)-3584625 \log (5 x+3)","-\frac{617100}{3 x+2}-\frac{166375}{5 x+3}-\frac{103455}{2 (3 x+2)^2}-\frac{5566}{(3 x+2)^3}-\frac{2541}{4 (3 x+2)^4}-\frac{3136}{45 (3 x+2)^5}-\frac{343}{54 (3 x+2)^6}+3584625 \log (3 x+2)-3584625 \log (5 x+3)",1,"-343/(54*(2 + 3*x)^6) - 3136/(45*(2 + 3*x)^5) - 2541/(4*(2 + 3*x)^4) - 5566/(2 + 3*x)^3 - 103455/(2*(2 + 3*x)^2) - 617100/(2 + 3*x) - 166375/(3 + 5*x) + 3584625*Log[2 + 3*x] - 3584625*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1417,1,97,0,0.0503811,"\int \frac{(1-2 x)^3}{(2+3 x)^8 (3+5 x)^2} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^8*(3 + 5*x)^2),x]","-\frac{3584625}{3 x+2}-\frac{831875}{5 x+3}-\frac{308550}{(3 x+2)^2}-\frac{34485}{(3 x+2)^3}-\frac{8349}{2 (3 x+2)^4}-\frac{2541}{5 (3 x+2)^5}-\frac{1568}{27 (3 x+2)^6}-\frac{49}{9 (3 x+2)^7}+20418750 \log (3 x+2)-20418750 \log (5 x+3)","-\frac{3584625}{3 x+2}-\frac{831875}{5 x+3}-\frac{308550}{(3 x+2)^2}-\frac{34485}{(3 x+2)^3}-\frac{8349}{2 (3 x+2)^4}-\frac{2541}{5 (3 x+2)^5}-\frac{1568}{27 (3 x+2)^6}-\frac{49}{9 (3 x+2)^7}+20418750 \log (3 x+2)-20418750 \log (5 x+3)",1,"-49/(9*(2 + 3*x)^7) - 1568/(27*(2 + 3*x)^6) - 2541/(5*(2 + 3*x)^5) - 8349/(2*(2 + 3*x)^4) - 34485/(2 + 3*x)^3 - 308550/(2 + 3*x)^2 - 3584625/(2 + 3*x) - 831875/(3 + 5*x) + 20418750*Log[2 + 3*x] - 20418750*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1418,1,87,0,0.0478469,"\int \frac{(1-2 x)^3 (2+3 x)^7}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^7)/(3 + 5*x)^3,x]","-\frac{2187 x^8}{125}-\frac{119556 x^7}{4375}+\frac{33291 x^6}{3125}+\frac{491913 x^5}{15625}+\frac{6507 x^4}{62500}-\frac{5918904 x^3}{390625}-\frac{2300646 x^2}{1953125}+\frac{46214407 x}{9765625}-\frac{1089}{1953125 (5 x+3)}-\frac{1331}{97656250 (5 x+3)^2}+\frac{47289 \log (5 x+3)}{9765625}","-\frac{2187 x^8}{125}-\frac{119556 x^7}{4375}+\frac{33291 x^6}{3125}+\frac{491913 x^5}{15625}+\frac{6507 x^4}{62500}-\frac{5918904 x^3}{390625}-\frac{2300646 x^2}{1953125}+\frac{46214407 x}{9765625}-\frac{1089}{1953125 (5 x+3)}-\frac{1331}{97656250 (5 x+3)^2}+\frac{47289 \log (5 x+3)}{9765625}",1,"(46214407*x)/9765625 - (2300646*x^2)/1953125 - (5918904*x^3)/390625 + (6507*x^4)/62500 + (491913*x^5)/15625 + (33291*x^6)/3125 - (119556*x^7)/4375 - (2187*x^8)/125 - 1331/(97656250*(3 + 5*x)^2) - 1089/(1953125*(3 + 5*x)) + (47289*Log[3 + 5*x])/9765625","A",2,1,22,0.04545,1,"{88}"
1419,1,80,0,0.0439333,"\int \frac{(1-2 x)^3 (2+3 x)^6}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^6)/(3 + 5*x)^3,x]","-\frac{5832 x^7}{875}-\frac{3402 x^6}{625}+\frac{134622 x^5}{15625}+\frac{74223 x^4}{12500}-\frac{81747 x^3}{15625}-\frac{915777 x^2}{390625}+\frac{4571416 x}{1953125}-\frac{23232}{9765625 (5 x+3)}-\frac{1331}{19531250 (5 x+3)^2}+\frac{166749 \log (5 x+3)}{9765625}","-\frac{5832 x^7}{875}-\frac{3402 x^6}{625}+\frac{134622 x^5}{15625}+\frac{74223 x^4}{12500}-\frac{81747 x^3}{15625}-\frac{915777 x^2}{390625}+\frac{4571416 x}{1953125}-\frac{23232}{9765625 (5 x+3)}-\frac{1331}{19531250 (5 x+3)^2}+\frac{166749 \log (5 x+3)}{9765625}",1,"(4571416*x)/1953125 - (915777*x^2)/390625 - (81747*x^3)/15625 + (74223*x^4)/12500 + (134622*x^5)/15625 - (3402*x^6)/625 - (5832*x^7)/875 - 1331/(19531250*(3 + 5*x)^2) - 23232/(9765625*(3 + 5*x)) + (166749*Log[3 + 5*x])/9765625","A",2,1,22,0.04545,1,"{88}"
1420,1,73,0,0.0402849,"\int \frac{(1-2 x)^3 (2+3 x)^5}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^5)/(3 + 5*x)^3,x]","-\frac{324 x^6}{125}-\frac{324 x^5}{3125}+\frac{22977 x^4}{6250}-\frac{393 x^3}{625}-\frac{62097 x^2}{31250}+\frac{424432 x}{390625}-\frac{19239}{1953125 (5 x+3)}-\frac{1331}{3906250 (5 x+3)^2}+\frac{109032 \log (5 x+3)}{1953125}","-\frac{324 x^6}{125}-\frac{324 x^5}{3125}+\frac{22977 x^4}{6250}-\frac{393 x^3}{625}-\frac{62097 x^2}{31250}+\frac{424432 x}{390625}-\frac{19239}{1953125 (5 x+3)}-\frac{1331}{3906250 (5 x+3)^2}+\frac{109032 \log (5 x+3)}{1953125}",1,"(424432*x)/390625 - (62097*x^2)/31250 - (393*x^3)/625 + (22977*x^4)/6250 - (324*x^5)/3125 - (324*x^6)/125 - 1331/(3906250*(3 + 5*x)^2) - 19239/(1953125*(3 + 5*x)) + (109032*Log[3 + 5*x])/1953125","A",2,1,22,0.04545,1,"{88}"
1421,1,66,0,0.0336888,"\int \frac{(1-2 x)^3 (2+3 x)^4}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^4)/(3 + 5*x)^3,x]","-\frac{648 x^5}{625}+\frac{513 x^4}{625}+\frac{2826 x^3}{3125}-\frac{7617 x^2}{6250}+\frac{4691 x}{15625}-\frac{15246}{390625 (5 x+3)}-\frac{1331}{781250 (5 x+3)^2}+\frac{63294 \log (5 x+3)}{390625}","-\frac{648 x^5}{625}+\frac{513 x^4}{625}+\frac{2826 x^3}{3125}-\frac{7617 x^2}{6250}+\frac{4691 x}{15625}-\frac{15246}{390625 (5 x+3)}-\frac{1331}{781250 (5 x+3)^2}+\frac{63294 \log (5 x+3)}{390625}",1,"(4691*x)/15625 - (7617*x^2)/6250 + (2826*x^3)/3125 + (513*x^4)/625 - (648*x^5)/625 - 1331/(781250*(3 + 5*x)^2) - 15246/(390625*(3 + 5*x)) + (63294*Log[3 + 5*x])/390625","A",2,1,22,0.04545,1,"{88}"
1422,1,59,0,0.0290739,"\int \frac{(1-2 x)^3 (2+3 x)^3}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^3)/(3 + 5*x)^3,x]","-\frac{54 x^4}{125}+\frac{468 x^3}{625}-\frac{927 x^2}{3125}-\frac{1303 x}{3125}-\frac{11253}{78125 (5 x+3)}-\frac{1331}{156250 (5 x+3)^2}+\frac{5907 \log (5 x+3)}{15625}","-\frac{54 x^4}{125}+\frac{468 x^3}{625}-\frac{927 x^2}{3125}-\frac{1303 x}{3125}-\frac{11253}{78125 (5 x+3)}-\frac{1331}{156250 (5 x+3)^2}+\frac{5907 \log (5 x+3)}{15625}",1,"(-1303*x)/3125 - (927*x^2)/3125 + (468*x^3)/625 - (54*x^4)/125 - 1331/(156250*(3 + 5*x)^2) - 11253/(78125*(3 + 5*x)) + (5907*Log[3 + 5*x])/15625","A",2,1,22,0.04545,1,"{88}"
1423,1,52,0,0.0246695,"\int \frac{(1-2 x)^3 (2+3 x)^2}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^3*(2 + 3*x)^2)/(3 + 5*x)^3,x]","-\frac{24 x^3}{125}+\frac{354 x^2}{625}-\frac{2978 x}{3125}-\frac{1452}{3125 (5 x+3)}-\frac{1331}{31250 (5 x+3)^2}+\frac{1551 \log (5 x+3)}{3125}","-\frac{24 x^3}{125}+\frac{354 x^2}{625}-\frac{2978 x}{3125}-\frac{1452}{3125 (5 x+3)}-\frac{1331}{31250 (5 x+3)^2}+\frac{1551 \log (5 x+3)}{3125}",1,"(-2978*x)/3125 + (354*x^2)/625 - (24*x^3)/125 - 1331/(31250*(3 + 5*x)^2) - 1452/(3125*(3 + 5*x)) + (1551*Log[3 + 5*x])/3125","A",2,1,22,0.04545,1,"{88}"
1424,1,45,0,0.0210411,"\int \frac{(1-2 x)^3 (2+3 x)}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^3*(2 + 3*x))/(3 + 5*x)^3,x]","-\frac{12 x^2}{125}+\frac{316 x}{625}-\frac{3267}{3125 (5 x+3)}-\frac{1331}{6250 (5 x+3)^2}-\frac{2046 \log (5 x+3)}{3125}","-\frac{12 x^2}{125}+\frac{316 x}{625}-\frac{3267}{3125 (5 x+3)}-\frac{1331}{6250 (5 x+3)^2}-\frac{2046 \log (5 x+3)}{3125}",1,"(316*x)/625 - (12*x^2)/125 - 1331/(6250*(3 + 5*x)^2) - 3267/(3125*(3 + 5*x)) - (2046*Log[3 + 5*x])/3125","A",2,1,20,0.05000,1,"{77}"
1425,1,38,0,0.0161619,"\int \frac{(1-2 x)^3}{(3+5 x)^3} \, dx","Int[(1 - 2*x)^3/(3 + 5*x)^3,x]","-\frac{8 x}{125}+\frac{726}{625 (5 x+3)}-\frac{1331}{1250 (5 x+3)^2}+\frac{132}{625} \log (5 x+3)","-\frac{8 x}{125}+\frac{726}{625 (5 x+3)}-\frac{1331}{1250 (5 x+3)^2}+\frac{132}{625} \log (5 x+3)",1,"(-8*x)/125 - 1331/(1250*(3 + 5*x)^2) + 726/(625*(3 + 5*x)) + (132*Log[3 + 5*x])/625","A",2,1,15,0.06667,1,"{43}"
1426,1,43,0,0.0195802,"\int \frac{(1-2 x)^3}{(2+3 x) (3+5 x)^3} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)*(3 + 5*x)^3),x]","\frac{4719}{125 (5 x+3)}-\frac{1331}{250 (5 x+3)^2}-\frac{343}{3} \log (3 x+2)+\frac{14289}{125} \log (5 x+3)","\frac{4719}{125 (5 x+3)}-\frac{1331}{250 (5 x+3)^2}-\frac{343}{3} \log (3 x+2)+\frac{14289}{125} \log (5 x+3)",1,"-1331/(250*(3 + 5*x)^2) + 4719/(125*(3 + 5*x)) - (343*Log[2 + 3*x])/3 + (14289*Log[3 + 5*x])/125","A",2,1,22,0.04545,1,"{88}"
1427,1,50,0,0.0228256,"\int \frac{(1-2 x)^3}{(2+3 x)^2 (3+5 x)^3} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^2*(3 + 5*x)^3),x]","\frac{343}{3 (3 x+2)}+\frac{8712}{25 (5 x+3)}-\frac{1331}{50 (5 x+3)^2}-1617 \log (3 x+2)+1617 \log (5 x+3)","\frac{343}{3 (3 x+2)}+\frac{8712}{25 (5 x+3)}-\frac{1331}{50 (5 x+3)^2}-1617 \log (3 x+2)+1617 \log (5 x+3)",1,"343/(3*(2 + 3*x)) - 1331/(50*(3 + 5*x)^2) + 8712/(25*(3 + 5*x)) - 1617*Log[2 + 3*x] + 1617*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1428,1,57,0,0.0275684,"\int \frac{(1-2 x)^3}{(2+3 x)^3 (3+5 x)^3} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^3*(3 + 5*x)^3),x]","\frac{1617}{3 x+2}+\frac{2541}{5 x+3}+\frac{343}{6 (3 x+2)^2}-\frac{1331}{10 (5 x+3)^2}-15708 \log (3 x+2)+15708 \log (5 x+3)","\frac{1617}{3 x+2}+\frac{2541}{5 x+3}+\frac{343}{6 (3 x+2)^2}-\frac{1331}{10 (5 x+3)^2}-15708 \log (3 x+2)+15708 \log (5 x+3)",1,"343/(6*(2 + 3*x)^2) + 1617/(2 + 3*x) - 1331/(10*(3 + 5*x)^2) + 2541/(3 + 5*x) - 15708*Log[2 + 3*x] + 15708*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1429,1,68,0,0.0336473,"\int \frac{(1-2 x)^3}{(2+3 x)^4 (3+5 x)^3} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^4*(3 + 5*x)^3),x]","\frac{15708}{3 x+2}+\frac{16698}{5 x+3}+\frac{1617}{2 (3 x+2)^2}-\frac{1331}{2 (5 x+3)^2}+\frac{343}{9 (3 x+2)^3}-128634 \log (3 x+2)+128634 \log (5 x+3)","\frac{15708}{3 x+2}+\frac{16698}{5 x+3}+\frac{1617}{2 (3 x+2)^2}-\frac{1331}{2 (5 x+3)^2}+\frac{343}{9 (3 x+2)^3}-128634 \log (3 x+2)+128634 \log (5 x+3)",1,"343/(9*(2 + 3*x)^3) + 1617/(2*(2 + 3*x)^2) + 15708/(2 + 3*x) - 1331/(2*(3 + 5*x)^2) + 16698/(3 + 5*x) - 128634*Log[2 + 3*x] + 128634*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1430,1,75,0,0.0409486,"\int \frac{(1-2 x)^3}{(2+3 x)^5 (3+5 x)^3} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^5*(3 + 5*x)^3),x]","\frac{128634}{3 x+2}+\frac{103455}{5 x+3}+\frac{7854}{(3 x+2)^2}-\frac{6655}{2 (5 x+3)^2}+\frac{539}{(3 x+2)^3}+\frac{343}{12 (3 x+2)^4}-953535 \log (3 x+2)+953535 \log (5 x+3)","\frac{128634}{3 x+2}+\frac{103455}{5 x+3}+\frac{7854}{(3 x+2)^2}-\frac{6655}{2 (5 x+3)^2}+\frac{539}{(3 x+2)^3}+\frac{343}{12 (3 x+2)^4}-953535 \log (3 x+2)+953535 \log (5 x+3)",1,"343/(12*(2 + 3*x)^4) + 539/(2 + 3*x)^3 + 7854/(2 + 3*x)^2 + 128634/(2 + 3*x) - 6655/(2*(3 + 5*x)^2) + 103455/(3 + 5*x) - 953535*Log[2 + 3*x] + 953535*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1431,1,86,0,0.0480218,"\int \frac{(1-2 x)^3}{(2+3 x)^6 (3+5 x)^3} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^6*(3 + 5*x)^3),x]","\frac{953535}{3 x+2}+\frac{617100}{5 x+3}+\frac{64317}{(3 x+2)^2}-\frac{33275}{2 (5 x+3)^2}+\frac{5236}{(3 x+2)^3}+\frac{1617}{4 (3 x+2)^4}+\frac{343}{15 (3 x+2)^5}-6618975 \log (3 x+2)+6618975 \log (5 x+3)","\frac{953535}{3 x+2}+\frac{617100}{5 x+3}+\frac{64317}{(3 x+2)^2}-\frac{33275}{2 (5 x+3)^2}+\frac{5236}{(3 x+2)^3}+\frac{1617}{4 (3 x+2)^4}+\frac{343}{15 (3 x+2)^5}-6618975 \log (3 x+2)+6618975 \log (5 x+3)",1,"343/(15*(2 + 3*x)^5) + 1617/(4*(2 + 3*x)^4) + 5236/(2 + 3*x)^3 + 64317/(2 + 3*x)^2 + 953535/(2 + 3*x) - 33275/(2*(3 + 5*x)^2) + 617100/(3 + 5*x) - 6618975*Log[2 + 3*x] + 6618975*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1432,1,97,0,0.054347,"\int \frac{(1-2 x)^3}{(2+3 x)^7 (3+5 x)^3} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^7*(3 + 5*x)^3),x]","\frac{6618975}{3 x+2}+\frac{3584625}{5 x+3}+\frac{953535}{2 (3 x+2)^2}-\frac{166375}{2 (5 x+3)^2}+\frac{42878}{(3 x+2)^3}+\frac{3927}{(3 x+2)^4}+\frac{1617}{5 (3 x+2)^5}+\frac{343}{18 (3 x+2)^6}-43848750 \log (3 x+2)+43848750 \log (5 x+3)","\frac{6618975}{3 x+2}+\frac{3584625}{5 x+3}+\frac{953535}{2 (3 x+2)^2}-\frac{166375}{2 (5 x+3)^2}+\frac{42878}{(3 x+2)^3}+\frac{3927}{(3 x+2)^4}+\frac{1617}{5 (3 x+2)^5}+\frac{343}{18 (3 x+2)^6}-43848750 \log (3 x+2)+43848750 \log (5 x+3)",1,"343/(18*(2 + 3*x)^6) + 1617/(5*(2 + 3*x)^5) + 3927/(2 + 3*x)^4 + 42878/(2 + 3*x)^3 + 953535/(2*(2 + 3*x)^2) + 6618975/(2 + 3*x) - 166375/(2*(3 + 5*x)^2) + 3584625/(3 + 5*x) - 43848750*Log[2 + 3*x] + 43848750*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1433,1,110,0,0.0612491,"\int \frac{(1-2 x)^3}{(2+3 x)^8 (3+5 x)^3} \, dx","Int[(1 - 2*x)^3/((2 + 3*x)^8*(3 + 5*x)^3),x]","\frac{43848750}{3 x+2}+\frac{20418750}{5 x+3}+\frac{6618975}{2 (3 x+2)^2}-\frac{831875}{2 (5 x+3)^2}+\frac{317845}{(3 x+2)^3}+\frac{64317}{2 (3 x+2)^4}+\frac{15708}{5 (3 x+2)^5}+\frac{539}{2 (3 x+2)^6}+\frac{49}{3 (3 x+2)^7}-280500000 \log (3 x+2)+280500000 \log (5 x+3)","\frac{43848750}{3 x+2}+\frac{20418750}{5 x+3}+\frac{6618975}{2 (3 x+2)^2}-\frac{831875}{2 (5 x+3)^2}+\frac{317845}{(3 x+2)^3}+\frac{64317}{2 (3 x+2)^4}+\frac{15708}{5 (3 x+2)^5}+\frac{539}{2 (3 x+2)^6}+\frac{49}{3 (3 x+2)^7}-280500000 \log (3 x+2)+280500000 \log (5 x+3)",1,"49/(3*(2 + 3*x)^7) + 539/(2*(2 + 3*x)^6) + 15708/(5*(2 + 3*x)^5) + 64317/(2*(2 + 3*x)^4) + 317845/(2 + 3*x)^3 + 6618975/(2*(2 + 3*x)^2) + 43848750/(2 + 3*x) - 831875/(2*(3 + 5*x)^2) + 20418750/(3 + 5*x) - 280500000*Log[2 + 3*x] + 280500000*Log[3 + 5*x]","A",2,1,22,0.04545,1,"{88}"
1434,1,72,0,0.0277745,"\int \frac{(2+3 x)^8 (3+5 x)}{1-2 x} \, dx","Int[((2 + 3*x)^8*(3 + 5*x))/(1 - 2*x),x]","-\frac{3645 x^9}{2}-\frac{422091 x^8}{32}-\frac{353565 x^7}{8}-\frac{2929689 x^6}{32}-\frac{21272139 x^5}{160}-\frac{37722699 x^4}{256}-\frac{17391129 x^3}{128}-\frac{60332619 x^2}{512}-\frac{63019595 x}{512}-\frac{63412811 \log (1-2 x)}{1024}","-\frac{3645 x^9}{2}-\frac{422091 x^8}{32}-\frac{353565 x^7}{8}-\frac{2929689 x^6}{32}-\frac{21272139 x^5}{160}-\frac{37722699 x^4}{256}-\frac{17391129 x^3}{128}-\frac{60332619 x^2}{512}-\frac{63019595 x}{512}-\frac{63412811 \log (1-2 x)}{1024}",1,"(-63019595*x)/512 - (60332619*x^2)/512 - (17391129*x^3)/128 - (37722699*x^4)/256 - (21272139*x^5)/160 - (2929689*x^6)/32 - (353565*x^7)/8 - (422091*x^8)/32 - (3645*x^9)/2 - (63412811*Log[1 - 2*x])/1024","A",2,1,20,0.05000,1,"{77}"
1435,1,65,0,0.0249565,"\int \frac{(2+3 x)^7 (3+5 x)}{1-2 x} \, dx","Int[((2 + 3*x)^7*(3 + 5*x))/(1 - 2*x),x]","-\frac{10935 x^8}{16}-\frac{126117 x^7}{28}-\frac{218943 x^6}{16}-\frac{2053917 x^5}{80}-\frac{4352157 x^4}{128}-\frac{2257119 x^3}{64}-\frac{8362653 x^2}{256}-\frac{8960669 x}{256}-\frac{9058973}{512} \log (1-2 x)","-\frac{10935 x^8}{16}-\frac{126117 x^7}{28}-\frac{218943 x^6}{16}-\frac{2053917 x^5}{80}-\frac{4352157 x^4}{128}-\frac{2257119 x^3}{64}-\frac{8362653 x^2}{256}-\frac{8960669 x}{256}-\frac{9058973}{512} \log (1-2 x)",1,"(-8960669*x)/256 - (8362653*x^2)/256 - (2257119*x^3)/64 - (4352157*x^4)/128 - (2053917*x^5)/80 - (218943*x^6)/16 - (126117*x^7)/28 - (10935*x^8)/16 - (9058973*Log[1 - 2*x])/512","A",2,1,20,0.05000,1,"{77}"
1436,1,58,0,0.0224031,"\int \frac{(2+3 x)^6 (3+5 x)}{1-2 x} \, dx","Int[((2 + 3*x)^6*(3 + 5*x))/(1 - 2*x),x]","-\frac{3645 x^7}{14}-\frac{12393 x^6}{8}-\frac{169371 x^5}{40}-\frac{458811 x^4}{64}-\frac{279657 x^3}{32}-\frac{1138491 x^2}{128}-\frac{1269563 x}{128}-\frac{1294139}{256} \log (1-2 x)","-\frac{3645 x^7}{14}-\frac{12393 x^6}{8}-\frac{169371 x^5}{40}-\frac{458811 x^4}{64}-\frac{279657 x^3}{32}-\frac{1138491 x^2}{128}-\frac{1269563 x}{128}-\frac{1294139}{256} \log (1-2 x)",1,"(-1269563*x)/128 - (1138491*x^2)/128 - (279657*x^3)/32 - (458811*x^4)/64 - (169371*x^5)/40 - (12393*x^6)/8 - (3645*x^7)/14 - (1294139*Log[1 - 2*x])/256","A",2,1,20,0.05000,1,"{77}"
1437,1,51,0,0.0199017,"\int \frac{(2+3 x)^5 (3+5 x)}{1-2 x} \, dx","Int[((2 + 3*x)^5*(3 + 5*x))/(1 - 2*x),x]","-\frac{405 x^6}{4}-\frac{10773 x^5}{20}-\frac{42093 x^4}{32}-\frac{32271 x^3}{16}-\frac{150573 x^2}{64}-\frac{178733 x}{64}-\frac{184877}{128} \log (1-2 x)","-\frac{405 x^6}{4}-\frac{10773 x^5}{20}-\frac{42093 x^4}{32}-\frac{32271 x^3}{16}-\frac{150573 x^2}{64}-\frac{178733 x}{64}-\frac{184877}{128} \log (1-2 x)",1,"(-178733*x)/64 - (150573*x^2)/64 - (32271*x^3)/16 - (42093*x^4)/32 - (10773*x^5)/20 - (405*x^6)/4 - (184877*Log[1 - 2*x])/128","A",2,1,20,0.05000,1,"{77}"
1438,1,44,0,0.0161629,"\int \frac{(2+3 x)^4 (3+5 x)}{1-2 x} \, dx","Int[((2 + 3*x)^4*(3 + 5*x))/(1 - 2*x),x]","-\frac{81 x^5}{2}-\frac{3051 x^4}{16}-\frac{3321 x^3}{8}-\frac{18987 x^2}{32}-\frac{24875 x}{32}-\frac{26411}{64} \log (1-2 x)","-\frac{81 x^5}{2}-\frac{3051 x^4}{16}-\frac{3321 x^3}{8}-\frac{18987 x^2}{32}-\frac{24875 x}{32}-\frac{26411}{64} \log (1-2 x)",1,"(-24875*x)/32 - (18987*x^2)/32 - (3321*x^3)/8 - (3051*x^4)/16 - (81*x^5)/2 - (26411*Log[1 - 2*x])/64","A",2,1,20,0.05000,1,"{77}"
1439,1,37,0,0.0139055,"\int \frac{(2+3 x)^3 (3+5 x)}{1-2 x} \, dx","Int[((2 + 3*x)^3*(3 + 5*x))/(1 - 2*x),x]","-\frac{135 x^4}{8}-\frac{279 x^3}{4}-\frac{2205 x^2}{16}-\frac{3389 x}{16}-\frac{3773}{32} \log (1-2 x)","-\frac{135 x^4}{8}-\frac{279 x^3}{4}-\frac{2205 x^2}{16}-\frac{3389 x}{16}-\frac{3773}{32} \log (1-2 x)",1,"(-3389*x)/16 - (2205*x^2)/16 - (279*x^3)/4 - (135*x^4)/8 - (3773*Log[1 - 2*x])/32","A",2,1,20,0.05000,1,"{77}"
1440,1,30,0,0.0116269,"\int \frac{(2+3 x)^2 (3+5 x)}{1-2 x} \, dx","Int[((2 + 3*x)^2*(3 + 5*x))/(1 - 2*x),x]","-\frac{15 x^3}{2}-\frac{219 x^2}{8}-\frac{443 x}{8}-\frac{539}{16} \log (1-2 x)","-\frac{15 x^3}{2}-\frac{219 x^2}{8}-\frac{443 x}{8}-\frac{539}{16} \log (1-2 x)",1,"(-443*x)/8 - (219*x^2)/8 - (15*x^3)/2 - (539*Log[1 - 2*x])/16","A",2,1,20,0.05000,1,"{77}"
1441,1,23,0,0.0087319,"\int \frac{(2+3 x) (3+5 x)}{1-2 x} \, dx","Int[((2 + 3*x)*(3 + 5*x))/(1 - 2*x),x]","-\frac{15 x^2}{4}-\frac{53 x}{4}-\frac{77}{8} \log (1-2 x)","-\frac{15 x^2}{4}-\frac{53 x}{4}-\frac{77}{8} \log (1-2 x)",1,"(-53*x)/4 - (15*x^2)/4 - (77*Log[1 - 2*x])/8","A",2,1,18,0.05556,1,"{77}"
1442,1,16,0,0.0070926,"\int \frac{3+5 x}{1-2 x} \, dx","Int[(3 + 5*x)/(1 - 2*x),x]","-\frac{5 x}{2}-\frac{11}{4} \log (1-2 x)","-\frac{5 x}{2}-\frac{11}{4} \log (1-2 x)",1,"(-5*x)/2 - (11*Log[1 - 2*x])/4","A",2,1,13,0.07692,1,"{43}"
1443,1,21,0,0.0098538,"\int \frac{3+5 x}{(1-2 x) (2+3 x)} \, dx","Int[(3 + 5*x)/((1 - 2*x)*(2 + 3*x)),x]","-\frac{11}{14} \log (1-2 x)-\frac{1}{21} \log (3 x+2)","-\frac{11}{14} \log (1-2 x)-\frac{1}{21} \log (3 x+2)",1,"(-11*Log[1 - 2*x])/14 - Log[2 + 3*x]/21","A",2,1,20,0.05000,1,"{72}"
1444,1,32,0,0.0152345,"\int \frac{3+5 x}{(1-2 x) (2+3 x)^2} \, dx","Int[(3 + 5*x)/((1 - 2*x)*(2 + 3*x)^2),x]","\frac{1}{21 (3 x+2)}-\frac{11}{49} \log (1-2 x)+\frac{11}{49} \log (3 x+2)","\frac{1}{21 (3 x+2)}-\frac{11}{49} \log (1-2 x)+\frac{11}{49} \log (3 x+2)",1,"1/(21*(2 + 3*x)) - (11*Log[1 - 2*x])/49 + (11*Log[2 + 3*x])/49","A",2,1,20,0.05000,1,"{77}"
1445,1,43,0,0.0173423,"\int \frac{3+5 x}{(1-2 x) (2+3 x)^3} \, dx","Int[(3 + 5*x)/((1 - 2*x)*(2 + 3*x)^3),x]","-\frac{11}{49 (3 x+2)}+\frac{1}{42 (3 x+2)^2}-\frac{22}{343} \log (1-2 x)+\frac{22}{343} \log (3 x+2)","-\frac{11}{49 (3 x+2)}+\frac{1}{42 (3 x+2)^2}-\frac{22}{343} \log (1-2 x)+\frac{22}{343} \log (3 x+2)",1,"1/(42*(2 + 3*x)^2) - 11/(49*(2 + 3*x)) - (22*Log[1 - 2*x])/343 + (22*Log[2 + 3*x])/343","A",2,1,20,0.05000,1,"{77}"
1446,1,54,0,0.0210959,"\int \frac{3+5 x}{(1-2 x) (2+3 x)^4} \, dx","Int[(3 + 5*x)/((1 - 2*x)*(2 + 3*x)^4),x]","-\frac{22}{343 (3 x+2)}-\frac{11}{98 (3 x+2)^2}+\frac{1}{63 (3 x+2)^3}-\frac{44 \log (1-2 x)}{2401}+\frac{44 \log (3 x+2)}{2401}","-\frac{22}{343 (3 x+2)}-\frac{11}{98 (3 x+2)^2}+\frac{1}{63 (3 x+2)^3}-\frac{44 \log (1-2 x)}{2401}+\frac{44 \log (3 x+2)}{2401}",1,"1/(63*(2 + 3*x)^3) - 11/(98*(2 + 3*x)^2) - 22/(343*(2 + 3*x)) - (44*Log[1 - 2*x])/2401 + (44*Log[2 + 3*x])/2401","A",2,1,20,0.05000,1,"{77}"
1447,1,65,0,0.0250805,"\int \frac{3+5 x}{(1-2 x) (2+3 x)^5} \, dx","Int[(3 + 5*x)/((1 - 2*x)*(2 + 3*x)^5),x]","-\frac{44}{2401 (3 x+2)}-\frac{11}{343 (3 x+2)^2}-\frac{11}{147 (3 x+2)^3}+\frac{1}{84 (3 x+2)^4}-\frac{88 \log (1-2 x)}{16807}+\frac{88 \log (3 x+2)}{16807}","-\frac{44}{2401 (3 x+2)}-\frac{11}{343 (3 x+2)^2}-\frac{11}{147 (3 x+2)^3}+\frac{1}{84 (3 x+2)^4}-\frac{88 \log (1-2 x)}{16807}+\frac{88 \log (3 x+2)}{16807}",1,"1/(84*(2 + 3*x)^4) - 11/(147*(2 + 3*x)^3) - 11/(343*(2 + 3*x)^2) - 44/(2401*(2 + 3*x)) - (88*Log[1 - 2*x])/16807 + (88*Log[2 + 3*x])/16807","A",2,1,20,0.05000,1,"{77}"
1448,1,76,0,0.0277983,"\int \frac{3+5 x}{(1-2 x) (2+3 x)^6} \, dx","Int[(3 + 5*x)/((1 - 2*x)*(2 + 3*x)^6),x]","-\frac{88}{16807 (3 x+2)}-\frac{22}{2401 (3 x+2)^2}-\frac{22}{1029 (3 x+2)^3}-\frac{11}{196 (3 x+2)^4}+\frac{1}{105 (3 x+2)^5}-\frac{176 \log (1-2 x)}{117649}+\frac{176 \log (3 x+2)}{117649}","-\frac{88}{16807 (3 x+2)}-\frac{22}{2401 (3 x+2)^2}-\frac{22}{1029 (3 x+2)^3}-\frac{11}{196 (3 x+2)^4}+\frac{1}{105 (3 x+2)^5}-\frac{176 \log (1-2 x)}{117649}+\frac{176 \log (3 x+2)}{117649}",1,"1/(105*(2 + 3*x)^5) - 11/(196*(2 + 3*x)^4) - 22/(1029*(2 + 3*x)^3) - 22/(2401*(2 + 3*x)^2) - 88/(16807*(2 + 3*x)) - (176*Log[1 - 2*x])/117649 + (176*Log[2 + 3*x])/117649","A",2,1,20,0.05000,1,"{77}"
1449,1,87,0,0.0318751,"\int \frac{3+5 x}{(1-2 x) (2+3 x)^7} \, dx","Int[(3 + 5*x)/((1 - 2*x)*(2 + 3*x)^7),x]","-\frac{176}{117649 (3 x+2)}-\frac{44}{16807 (3 x+2)^2}-\frac{44}{7203 (3 x+2)^3}-\frac{11}{686 (3 x+2)^4}-\frac{11}{245 (3 x+2)^5}+\frac{1}{126 (3 x+2)^6}-\frac{352 \log (1-2 x)}{823543}+\frac{352 \log (3 x+2)}{823543}","-\frac{176}{117649 (3 x+2)}-\frac{44}{16807 (3 x+2)^2}-\frac{44}{7203 (3 x+2)^3}-\frac{11}{686 (3 x+2)^4}-\frac{11}{245 (3 x+2)^5}+\frac{1}{126 (3 x+2)^6}-\frac{352 \log (1-2 x)}{823543}+\frac{352 \log (3 x+2)}{823543}",1,"1/(126*(2 + 3*x)^6) - 11/(245*(2 + 3*x)^5) - 11/(686*(2 + 3*x)^4) - 44/(7203*(2 + 3*x)^3) - 44/(16807*(2 + 3*x)^2) - 176/(117649*(2 + 3*x)) - (352*Log[1 - 2*x])/823543 + (352*Log[2 + 3*x])/823543","A",2,1,20,0.05000,1,"{77}"
1450,1,98,0,0.0335698,"\int \frac{3+5 x}{(1-2 x) (2+3 x)^8} \, dx","Int[(3 + 5*x)/((1 - 2*x)*(2 + 3*x)^8),x]","-\frac{352}{823543 (3 x+2)}-\frac{88}{117649 (3 x+2)^2}-\frac{88}{50421 (3 x+2)^3}-\frac{11}{2401 (3 x+2)^4}-\frac{22}{1715 (3 x+2)^5}-\frac{11}{294 (3 x+2)^6}+\frac{1}{147 (3 x+2)^7}-\frac{704 \log (1-2 x)}{5764801}+\frac{704 \log (3 x+2)}{5764801}","-\frac{352}{823543 (3 x+2)}-\frac{88}{117649 (3 x+2)^2}-\frac{88}{50421 (3 x+2)^3}-\frac{11}{2401 (3 x+2)^4}-\frac{22}{1715 (3 x+2)^5}-\frac{11}{294 (3 x+2)^6}+\frac{1}{147 (3 x+2)^7}-\frac{704 \log (1-2 x)}{5764801}+\frac{704 \log (3 x+2)}{5764801}",1,"1/(147*(2 + 3*x)^7) - 11/(294*(2 + 3*x)^6) - 22/(1715*(2 + 3*x)^5) - 11/(2401*(2 + 3*x)^4) - 88/(50421*(2 + 3*x)^3) - 88/(117649*(2 + 3*x)^2) - 352/(823543*(2 + 3*x)) - (704*Log[1 - 2*x])/5764801 + (704*Log[2 + 3*x])/5764801","A",2,1,20,0.05000,1,"{77}"
1451,1,79,0,0.0371611,"\int \frac{(2+3 x)^8 (3+5 x)^2}{1-2 x} \, dx","Int[((2 + 3*x)^8*(3 + 5*x)^2)/(1 - 2*x),x]","-\frac{32805 x^{10}}{4}-\frac{256365 x^9}{4}-\frac{14907321 x^8}{64}-\frac{8399295 x^7}{16}-\frac{53031699 x^6}{64}-\frac{316246329 x^5}{320}-\frac{487203129 x^4}{512}-\frac{204901139 x^3}{256}-\frac{677093689 x^2}{1024}-\frac{695181625 x}{1024}-\frac{697540921 \log (1-2 x)}{2048}","-\frac{32805 x^{10}}{4}-\frac{256365 x^9}{4}-\frac{14907321 x^8}{64}-\frac{8399295 x^7}{16}-\frac{53031699 x^6}{64}-\frac{316246329 x^5}{320}-\frac{487203129 x^4}{512}-\frac{204901139 x^3}{256}-\frac{677093689 x^2}{1024}-\frac{695181625 x}{1024}-\frac{697540921 \log (1-2 x)}{2048}",1,"(-695181625*x)/1024 - (677093689*x^2)/1024 - (204901139*x^3)/256 - (487203129*x^4)/512 - (316246329*x^5)/320 - (53031699*x^6)/64 - (8399295*x^7)/16 - (14907321*x^8)/64 - (256365*x^9)/4 - (32805*x^10)/4 - (697540921*Log[1 - 2*x])/2048","A",2,1,22,0.04545,1,"{88}"
1452,1,72,0,0.0350201,"\int \frac{(2+3 x)^7 (3+5 x)^2}{1-2 x} \, dx","Int[((2 + 3*x)^7*(3 + 5*x)^2)/(1 - 2*x),x]","-\frac{6075 x^9}{2}-\frac{696195 x^8}{32}-\frac{4040847 x^7}{56}-\frac{4736853 x^6}{32}-\frac{34084287 x^5}{160}-\frac{59969727 x^4}{256}-\frac{27480469 x^3}{128}-\frac{94979263 x^2}{512}-\frac{99058879 x}{512}-\frac{99648703 \log (1-2 x)}{1024}","-\frac{6075 x^9}{2}-\frac{696195 x^8}{32}-\frac{4040847 x^7}{56}-\frac{4736853 x^6}{32}-\frac{34084287 x^5}{160}-\frac{59969727 x^4}{256}-\frac{27480469 x^3}{128}-\frac{94979263 x^2}{512}-\frac{99058879 x}{512}-\frac{99648703 \log (1-2 x)}{1024}",1,"(-99058879*x)/512 - (94979263*x^2)/512 - (27480469*x^3)/128 - (59969727*x^4)/256 - (34084287*x^5)/160 - (4736853*x^6)/32 - (4040847*x^7)/56 - (696195*x^8)/32 - (6075*x^9)/2 - (99648703*Log[1 - 2*x])/1024","A",2,1,22,0.04545,1,"{88}"
1453,1,65,0,0.0299377,"\int \frac{(2+3 x)^6 (3+5 x)^2}{1-2 x} \, dx","Int[((2 + 3*x)^6*(3 + 5*x)^2)/(1 - 2*x),x]","-\frac{18225 x^8}{16}-\frac{207765 x^7}{28}-\frac{356643 x^6}{16}-\frac{3310281 x^5}{80}-\frac{6947721 x^4}{128}-\frac{3575427 x^3}{64}-\frac{13178761 x^2}{256}-\frac{14088073 x}{256}-\frac{14235529}{512} \log (1-2 x)","-\frac{18225 x^8}{16}-\frac{207765 x^7}{28}-\frac{356643 x^6}{16}-\frac{3310281 x^5}{80}-\frac{6947721 x^4}{128}-\frac{3575427 x^3}{64}-\frac{13178761 x^2}{256}-\frac{14088073 x}{256}-\frac{14235529}{512} \log (1-2 x)",1,"(-14088073*x)/256 - (13178761*x^2)/256 - (3575427*x^3)/64 - (6947721*x^4)/128 - (3310281*x^5)/80 - (356643*x^6)/16 - (207765*x^7)/28 - (18225*x^8)/16 - (14235529*Log[1 - 2*x])/512","A",2,1,22,0.04545,1,"{88}"
1454,1,58,0,0.0259308,"\int \frac{(2+3 x)^5 (3+5 x)^2}{1-2 x} \, dx","Int[((2 + 3*x)^5*(3 + 5*x)^2)/(1 - 2*x),x]","-\frac{6075 x^7}{14}-\frac{20385 x^6}{8}-\frac{275103 x^5}{40}-\frac{736623 x^4}{64}-\frac{444581 x^3}{32}-\frac{1797103 x^2}{128}-\frac{1996783 x}{128}-\frac{2033647}{256} \log (1-2 x)","-\frac{6075 x^7}{14}-\frac{20385 x^6}{8}-\frac{275103 x^5}{40}-\frac{736623 x^4}{64}-\frac{444581 x^3}{32}-\frac{1797103 x^2}{128}-\frac{1996783 x}{128}-\frac{2033647}{256} \log (1-2 x)",1,"(-1996783*x)/128 - (1797103*x^2)/128 - (444581*x^3)/32 - (736623*x^4)/64 - (275103*x^5)/40 - (20385*x^6)/8 - (6075*x^7)/14 - (2033647*Log[1 - 2*x])/256","A",2,1,22,0.04545,1,"{88}"
1455,1,51,0,0.0226534,"\int \frac{(2+3 x)^4 (3+5 x)^2}{1-2 x} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^2)/(1 - 2*x),x]","-\frac{675 x^6}{4}-\frac{3537 x^5}{4}-\frac{68121 x^4}{32}-\frac{51571 x^3}{16}-\frac{238297 x^2}{64}-\frac{281305 x}{64}-\frac{290521}{128} \log (1-2 x)","-\frac{675 x^6}{4}-\frac{3537 x^5}{4}-\frac{68121 x^4}{32}-\frac{51571 x^3}{16}-\frac{238297 x^2}{64}-\frac{281305 x}{64}-\frac{290521}{128} \log (1-2 x)",1,"(-281305*x)/64 - (238297*x^2)/64 - (51571*x^3)/16 - (68121*x^4)/32 - (3537*x^5)/4 - (675*x^6)/4 - (290521*Log[1 - 2*x])/128","A",2,1,22,0.04545,1,"{88}"
1456,1,44,0,0.0195674,"\int \frac{(2+3 x)^3 (3+5 x)^2}{1-2 x} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^2)/(1 - 2*x),x]","-\frac{135 x^5}{2}-\frac{4995 x^4}{16}-\frac{5349 x^3}{8}-\frac{30175 x^2}{32}-\frac{39199 x}{32}-\frac{41503}{64} \log (1-2 x)","-\frac{135 x^5}{2}-\frac{4995 x^4}{16}-\frac{5349 x^3}{8}-\frac{30175 x^2}{32}-\frac{39199 x}{32}-\frac{41503}{64} \log (1-2 x)",1,"(-39199*x)/32 - (30175*x^2)/32 - (5349*x^3)/8 - (4995*x^4)/16 - (135*x^5)/2 - (41503*Log[1 - 2*x])/64","A",2,1,22,0.04545,1,"{88}"
1457,1,37,0,0.0164038,"\int \frac{(2+3 x)^2 (3+5 x)^2}{1-2 x} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^2)/(1 - 2*x),x]","-\frac{225 x^4}{8}-\frac{455 x^3}{4}-\frac{3529 x^2}{16}-\frac{5353 x}{16}-\frac{5929}{32} \log (1-2 x)","-\frac{225 x^4}{8}-\frac{455 x^3}{4}-\frac{3529 x^2}{16}-\frac{5353 x}{16}-\frac{5929}{32} \log (1-2 x)",1,"(-5353*x)/16 - (3529*x^2)/16 - (455*x^3)/4 - (225*x^4)/8 - (5929*Log[1 - 2*x])/32","A",2,1,22,0.04545,1,"{88}"
1458,1,30,0,0.0104914,"\int \frac{(2+3 x) (3+5 x)^2}{1-2 x} \, dx","Int[((2 + 3*x)*(3 + 5*x)^2)/(1 - 2*x),x]","-\frac{25 x^3}{2}-\frac{355 x^2}{8}-\frac{703 x}{8}-\frac{847}{16} \log (1-2 x)","-\frac{25 x^3}{2}-\frac{355 x^2}{8}-\frac{703 x}{8}-\frac{847}{16} \log (1-2 x)",1,"(-703*x)/8 - (355*x^2)/8 - (25*x^3)/2 - (847*Log[1 - 2*x])/16","A",2,1,20,0.05000,1,"{77}"
1459,1,23,0,0.0088048,"\int \frac{(3+5 x)^2}{1-2 x} \, dx","Int[(3 + 5*x)^2/(1 - 2*x),x]","-\frac{25 x^2}{4}-\frac{85 x}{4}-\frac{121}{8} \log (1-2 x)","-\frac{25 x^2}{4}-\frac{85 x}{4}-\frac{121}{8} \log (1-2 x)",1,"(-85*x)/4 - (25*x^2)/4 - (121*Log[1 - 2*x])/8","A",2,1,15,0.06667,1,"{43}"
1460,1,26,0,0.0127887,"\int \frac{(3+5 x)^2}{(1-2 x) (2+3 x)} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)*(2 + 3*x)),x]","-\frac{25 x}{6}-\frac{121}{28} \log (1-2 x)+\frac{1}{63} \log (3 x+2)","-\frac{25 x}{6}-\frac{121}{28} \log (1-2 x)+\frac{1}{63} \log (3 x+2)",1,"(-25*x)/6 - (121*Log[1 - 2*x])/28 + Log[2 + 3*x]/63","A",2,1,22,0.04545,1,"{72}"
1461,1,32,0,0.0138162,"\int \frac{(3+5 x)^2}{(1-2 x) (2+3 x)^2} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)*(2 + 3*x)^2),x]","-\frac{1}{63 (3 x+2)}-\frac{121}{98} \log (1-2 x)-\frac{68}{441} \log (3 x+2)","-\frac{1}{63 (3 x+2)}-\frac{121}{98} \log (1-2 x)-\frac{68}{441} \log (3 x+2)",1,"-1/(63*(2 + 3*x)) - (121*Log[1 - 2*x])/98 - (68*Log[2 + 3*x])/441","A",2,1,22,0.04545,1,"{88}"
1462,1,43,0,0.0191789,"\int \frac{(3+5 x)^2}{(1-2 x) (2+3 x)^3} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)*(2 + 3*x)^3),x]","\frac{68}{441 (3 x+2)}-\frac{1}{126 (3 x+2)^2}-\frac{121}{343} \log (1-2 x)+\frac{121}{343} \log (3 x+2)","\frac{68}{441 (3 x+2)}-\frac{1}{126 (3 x+2)^2}-\frac{121}{343} \log (1-2 x)+\frac{121}{343} \log (3 x+2)",1,"-1/(126*(2 + 3*x)^2) + 68/(441*(2 + 3*x)) - (121*Log[1 - 2*x])/343 + (121*Log[2 + 3*x])/343","A",2,1,22,0.04545,1,"{88}"
1463,1,54,0,0.021555,"\int \frac{(3+5 x)^2}{(1-2 x) (2+3 x)^4} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)*(2 + 3*x)^4),x]","-\frac{121}{343 (3 x+2)}+\frac{34}{441 (3 x+2)^2}-\frac{1}{189 (3 x+2)^3}-\frac{242 \log (1-2 x)}{2401}+\frac{242 \log (3 x+2)}{2401}","-\frac{121}{343 (3 x+2)}+\frac{34}{441 (3 x+2)^2}-\frac{1}{189 (3 x+2)^3}-\frac{242 \log (1-2 x)}{2401}+\frac{242 \log (3 x+2)}{2401}",1,"-1/(189*(2 + 3*x)^3) + 34/(441*(2 + 3*x)^2) - 121/(343*(2 + 3*x)) - (242*Log[1 - 2*x])/2401 + (242*Log[2 + 3*x])/2401","A",2,1,22,0.04545,1,"{88}"
1464,1,65,0,0.0254265,"\int \frac{(3+5 x)^2}{(1-2 x) (2+3 x)^5} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)*(2 + 3*x)^5),x]","-\frac{242}{2401 (3 x+2)}-\frac{121}{686 (3 x+2)^2}+\frac{68}{1323 (3 x+2)^3}-\frac{1}{252 (3 x+2)^4}-\frac{484 \log (1-2 x)}{16807}+\frac{484 \log (3 x+2)}{16807}","-\frac{242}{2401 (3 x+2)}-\frac{121}{686 (3 x+2)^2}+\frac{68}{1323 (3 x+2)^3}-\frac{1}{252 (3 x+2)^4}-\frac{484 \log (1-2 x)}{16807}+\frac{484 \log (3 x+2)}{16807}",1,"-1/(252*(2 + 3*x)^4) + 68/(1323*(2 + 3*x)^3) - 121/(686*(2 + 3*x)^2) - 242/(2401*(2 + 3*x)) - (484*Log[1 - 2*x])/16807 + (484*Log[2 + 3*x])/16807","A",2,1,22,0.04545,1,"{88}"
1465,1,76,0,0.0282296,"\int \frac{(3+5 x)^2}{(1-2 x) (2+3 x)^6} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)*(2 + 3*x)^6),x]","-\frac{484}{16807 (3 x+2)}-\frac{121}{2401 (3 x+2)^2}-\frac{121}{1029 (3 x+2)^3}+\frac{17}{441 (3 x+2)^4}-\frac{1}{315 (3 x+2)^5}-\frac{968 \log (1-2 x)}{117649}+\frac{968 \log (3 x+2)}{117649}","-\frac{484}{16807 (3 x+2)}-\frac{121}{2401 (3 x+2)^2}-\frac{121}{1029 (3 x+2)^3}+\frac{17}{441 (3 x+2)^4}-\frac{1}{315 (3 x+2)^5}-\frac{968 \log (1-2 x)}{117649}+\frac{968 \log (3 x+2)}{117649}",1,"-1/(315*(2 + 3*x)^5) + 17/(441*(2 + 3*x)^4) - 121/(1029*(2 + 3*x)^3) - 121/(2401*(2 + 3*x)^2) - 484/(16807*(2 + 3*x)) - (968*Log[1 - 2*x])/117649 + (968*Log[2 + 3*x])/117649","A",2,1,22,0.04545,1,"{88}"
1466,1,87,0,0.0312858,"\int \frac{(3+5 x)^2}{(1-2 x) (2+3 x)^7} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)*(2 + 3*x)^7),x]","-\frac{968}{117649 (3 x+2)}-\frac{242}{16807 (3 x+2)^2}-\frac{242}{7203 (3 x+2)^3}-\frac{121}{1372 (3 x+2)^4}+\frac{68}{2205 (3 x+2)^5}-\frac{1}{378 (3 x+2)^6}-\frac{1936 \log (1-2 x)}{823543}+\frac{1936 \log (3 x+2)}{823543}","-\frac{968}{117649 (3 x+2)}-\frac{242}{16807 (3 x+2)^2}-\frac{242}{7203 (3 x+2)^3}-\frac{121}{1372 (3 x+2)^4}+\frac{68}{2205 (3 x+2)^5}-\frac{1}{378 (3 x+2)^6}-\frac{1936 \log (1-2 x)}{823543}+\frac{1936 \log (3 x+2)}{823543}",1,"-1/(378*(2 + 3*x)^6) + 68/(2205*(2 + 3*x)^5) - 121/(1372*(2 + 3*x)^4) - 242/(7203*(2 + 3*x)^3) - 242/(16807*(2 + 3*x)^2) - 968/(117649*(2 + 3*x)) - (1936*Log[1 - 2*x])/823543 + (1936*Log[2 + 3*x])/823543","A",2,1,22,0.04545,1,"{88}"
1467,1,98,0,0.0364104,"\int \frac{(3+5 x)^2}{(1-2 x) (2+3 x)^8} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)*(2 + 3*x)^8),x]","-\frac{1936}{823543 (3 x+2)}-\frac{484}{117649 (3 x+2)^2}-\frac{484}{50421 (3 x+2)^3}-\frac{121}{4802 (3 x+2)^4}-\frac{121}{1715 (3 x+2)^5}+\frac{34}{1323 (3 x+2)^6}-\frac{1}{441 (3 x+2)^7}-\frac{3872 \log (1-2 x)}{5764801}+\frac{3872 \log (3 x+2)}{5764801}","-\frac{1936}{823543 (3 x+2)}-\frac{484}{117649 (3 x+2)^2}-\frac{484}{50421 (3 x+2)^3}-\frac{121}{4802 (3 x+2)^4}-\frac{121}{1715 (3 x+2)^5}+\frac{34}{1323 (3 x+2)^6}-\frac{1}{441 (3 x+2)^7}-\frac{3872 \log (1-2 x)}{5764801}+\frac{3872 \log (3 x+2)}{5764801}",1,"-1/(441*(2 + 3*x)^7) + 34/(1323*(2 + 3*x)^6) - 121/(1715*(2 + 3*x)^5) - 121/(4802*(2 + 3*x)^4) - 484/(50421*(2 + 3*x)^3) - 484/(117649*(2 + 3*x)^2) - 1936/(823543*(2 + 3*x)) - (3872*Log[1 - 2*x])/5764801 + (3872*Log[2 + 3*x])/5764801","A",2,1,22,0.04545,1,"{88}"
1468,1,79,0,0.0387576,"\int \frac{(2+3 x)^7 (3+5 x)^3}{1-2 x} \, dx","Int[((2 + 3*x)^7*(3 + 5*x)^3)/(1 - 2*x),x]","-\frac{54675 x^{10}}{4}-\frac{423225 x^9}{4}-\frac{24381405 x^8}{64}-\frac{95297877 x^7}{112}-\frac{85228263 x^6}{64}-\frac{504354357 x^5}{320}-\frac{772025397 x^4}{512}-\frac{969544757 x^3}{768}-\frac{1065169973 x^2}{1024}-\frac{1092596789 x}{1024}-\frac{1096135733 \log (1-2 x)}{2048}","-\frac{54675 x^{10}}{4}-\frac{423225 x^9}{4}-\frac{24381405 x^8}{64}-\frac{95297877 x^7}{112}-\frac{85228263 x^6}{64}-\frac{504354357 x^5}{320}-\frac{772025397 x^4}{512}-\frac{969544757 x^3}{768}-\frac{1065169973 x^2}{1024}-\frac{1092596789 x}{1024}-\frac{1096135733 \log (1-2 x)}{2048}",1,"(-1092596789*x)/1024 - (1065169973*x^2)/1024 - (969544757*x^3)/768 - (772025397*x^4)/512 - (504354357*x^5)/320 - (85228263*x^6)/64 - (95297877*x^7)/112 - (24381405*x^8)/64 - (423225*x^9)/4 - (54675*x^10)/4 - (1096135733*Log[1 - 2*x])/2048","A",2,1,22,0.04545,1,"{88}"
1469,1,72,0,0.0321318,"\int \frac{(2+3 x)^6 (3+5 x)^3}{1-2 x} \, dx","Int[((2 + 3*x)^6*(3 + 5*x)^3)/(1 - 2*x),x]","-\frac{10125 x^9}{2}-\frac{1148175 x^8}{32}-\frac{6596235 x^7}{56}-\frac{7656993 x^6}{32}-\frac{54600291 x^5}{160}-\frac{95317731 x^4}{256}-\frac{130251491 x^3}{384}-\frac{149512931 x^2}{512}-\frac{155706083 x}{512}-\frac{156590819 \log (1-2 x)}{1024}","-\frac{10125 x^9}{2}-\frac{1148175 x^8}{32}-\frac{6596235 x^7}{56}-\frac{7656993 x^6}{32}-\frac{54600291 x^5}{160}-\frac{95317731 x^4}{256}-\frac{130251491 x^3}{384}-\frac{149512931 x^2}{512}-\frac{155706083 x}{512}-\frac{156590819 \log (1-2 x)}{1024}",1,"(-155706083*x)/512 - (149512931*x^2)/512 - (130251491*x^3)/384 - (95317731*x^4)/256 - (54600291*x^5)/160 - (7656993*x^6)/32 - (6596235*x^7)/56 - (1148175*x^8)/32 - (10125*x^9)/2 - (156590819*Log[1 - 2*x])/1024","A",2,1,22,0.04545,1,"{88}"
1470,1,65,0,0.0290086,"\int \frac{(2+3 x)^5 (3+5 x)^3}{1-2 x} \, dx","Int[((2 + 3*x)^5*(3 + 5*x)^3)/(1 - 2*x),x]","-\frac{30375 x^8}{16}-\frac{342225 x^7}{28}-\frac{580815 x^6}{16}-\frac{5333733 x^5}{80}-\frac{11088453 x^4}{128}-\frac{16987973 x^3}{192}-\frac{20766533 x^2}{256}-\frac{22148933 x}{256}-\frac{22370117}{512} \log (1-2 x)","-\frac{30375 x^8}{16}-\frac{342225 x^7}{28}-\frac{580815 x^6}{16}-\frac{5333733 x^5}{80}-\frac{11088453 x^4}{128}-\frac{16987973 x^3}{192}-\frac{20766533 x^2}{256}-\frac{22148933 x}{256}-\frac{22370117}{512} \log (1-2 x)",1,"(-22148933*x)/256 - (20766533*x^2)/256 - (16987973*x^3)/192 - (11088453*x^4)/128 - (5333733*x^5)/80 - (580815*x^6)/16 - (342225*x^7)/28 - (30375*x^8)/16 - (22370117*Log[1 - 2*x])/512","A",2,1,22,0.04545,1,"{88}"
1471,1,58,0,0.025583,"\int \frac{(2+3 x)^4 (3+5 x)^3}{1-2 x} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^3)/(1 - 2*x),x]","-\frac{10125 x^7}{14}-\frac{33525 x^6}{8}-\frac{89343 x^5}{8}-\frac{1182291 x^4}{64}-\frac{2119763 x^3}{96}-\frac{2836307 x^2}{128}-\frac{3140435 x}{128}-\frac{3195731}{256} \log (1-2 x)","-\frac{10125 x^7}{14}-\frac{33525 x^6}{8}-\frac{89343 x^5}{8}-\frac{1182291 x^4}{64}-\frac{2119763 x^3}{96}-\frac{2836307 x^2}{128}-\frac{3140435 x}{128}-\frac{3195731}{256} \log (1-2 x)",1,"(-3140435*x)/128 - (2836307*x^2)/128 - (2119763*x^3)/96 - (1182291*x^4)/64 - (89343*x^5)/8 - (33525*x^6)/8 - (10125*x^7)/14 - (3195731*Log[1 - 2*x])/256","A",2,1,22,0.04545,1,"{88}"
1472,1,51,0,0.0227171,"\int \frac{(2+3 x)^3 (3+5 x)^3}{1-2 x} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^3)/(1 - 2*x),x]","-\frac{1125 x^6}{4}-\frac{5805 x^5}{4}-\frac{110205 x^4}{32}-\frac{247157 x^3}{48}-\frac{377045 x^2}{64}-\frac{442709 x}{64}-\frac{456533}{128} \log (1-2 x)","-\frac{1125 x^6}{4}-\frac{5805 x^5}{4}-\frac{110205 x^4}{32}-\frac{247157 x^3}{48}-\frac{377045 x^2}{64}-\frac{442709 x}{64}-\frac{456533}{128} \log (1-2 x)",1,"(-442709*x)/64 - (377045*x^2)/64 - (247157*x^3)/48 - (110205*x^4)/32 - (5805*x^5)/4 - (1125*x^6)/4 - (456533*Log[1 - 2*x])/128","A",2,1,22,0.04545,1,"{88}"
1473,1,44,0,0.0194679,"\int \frac{(2+3 x)^2 (3+5 x)^3}{1-2 x} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^3)/(1 - 2*x),x]","-\frac{225 x^5}{2}-\frac{8175 x^4}{16}-\frac{25835 x^3}{24}-\frac{47939 x^2}{32}-\frac{61763 x}{32}-\frac{65219}{64} \log (1-2 x)","-\frac{225 x^5}{2}-\frac{8175 x^4}{16}-\frac{25835 x^3}{24}-\frac{47939 x^2}{32}-\frac{61763 x}{32}-\frac{65219}{64} \log (1-2 x)",1,"(-61763*x)/32 - (47939*x^2)/32 - (25835*x^3)/24 - (8175*x^4)/16 - (225*x^5)/2 - (65219*Log[1 - 2*x])/64","A",2,1,22,0.04545,1,"{88}"
1474,1,37,0,0.0136059,"\int \frac{(2+3 x) (3+5 x)^3}{1-2 x} \, dx","Int[((2 + 3*x)*(3 + 5*x)^3)/(1 - 2*x),x]","-\frac{375 x^4}{8}-\frac{2225 x^3}{12}-\frac{5645 x^2}{16}-\frac{8453 x}{16}-\frac{9317}{32} \log (1-2 x)","-\frac{375 x^4}{8}-\frac{2225 x^3}{12}-\frac{5645 x^2}{16}-\frac{8453 x}{16}-\frac{9317}{32} \log (1-2 x)",1,"(-8453*x)/16 - (5645*x^2)/16 - (2225*x^3)/12 - (375*x^4)/8 - (9317*Log[1 - 2*x])/32","A",2,1,20,0.05000,1,"{77}"
1475,1,30,0,0.0102759,"\int \frac{(3+5 x)^3}{1-2 x} \, dx","Int[(3 + 5*x)^3/(1 - 2*x),x]","-\frac{125 x^3}{6}-\frac{575 x^2}{8}-\frac{1115 x}{8}-\frac{1331}{16} \log (1-2 x)","-\frac{125 x^3}{6}-\frac{575 x^2}{8}-\frac{1115 x}{8}-\frac{1331}{16} \log (1-2 x)",1,"(-1115*x)/8 - (575*x^2)/8 - (125*x^3)/6 - (1331*Log[1 - 2*x])/16","A",2,1,15,0.06667,1,"{43}"
1476,1,33,0,0.0132522,"\int \frac{(3+5 x)^3}{(1-2 x) (2+3 x)} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)*(2 + 3*x)),x]","-\frac{125 x^2}{12}-\frac{1225 x}{36}-\frac{1331}{56} \log (1-2 x)-\frac{1}{189} \log (3 x+2)","-\frac{125 x^2}{12}-\frac{1225 x}{36}-\frac{1331}{56} \log (1-2 x)-\frac{1}{189} \log (3 x+2)",1,"(-1225*x)/36 - (125*x^2)/12 - (1331*Log[1 - 2*x])/56 - Log[2 + 3*x]/189","A",2,1,22,0.04545,1,"{72}"
1477,1,37,0,0.0158067,"\int \frac{(3+5 x)^3}{(1-2 x) (2+3 x)^2} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)*(2 + 3*x)^2),x]","-\frac{125 x}{18}+\frac{1}{189 (3 x+2)}-\frac{1331}{196} \log (1-2 x)+\frac{103 \log (3 x+2)}{1323}","-\frac{125 x}{18}+\frac{1}{189 (3 x+2)}-\frac{1331}{196} \log (1-2 x)+\frac{103 \log (3 x+2)}{1323}",1,"(-125*x)/18 + 1/(189*(2 + 3*x)) - (1331*Log[1 - 2*x])/196 + (103*Log[2 + 3*x])/1323","A",2,1,22,0.04545,1,"{88}"
1478,1,43,0,0.0173471,"\int \frac{(3+5 x)^3}{(1-2 x) (2+3 x)^3} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)*(2 + 3*x)^3),x]","-\frac{103}{1323 (3 x+2)}+\frac{1}{378 (3 x+2)^2}-\frac{1331}{686} \log (1-2 x)-\frac{3469 \log (3 x+2)}{9261}","-\frac{103}{1323 (3 x+2)}+\frac{1}{378 (3 x+2)^2}-\frac{1331}{686} \log (1-2 x)-\frac{3469 \log (3 x+2)}{9261}",1,"1/(378*(2 + 3*x)^2) - 103/(1323*(2 + 3*x)) - (1331*Log[1 - 2*x])/686 - (3469*Log[2 + 3*x])/9261","A",2,1,22,0.04545,1,"{88}"
1479,1,54,0,0.0227337,"\int \frac{(3+5 x)^3}{(1-2 x) (2+3 x)^4} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)*(2 + 3*x)^4),x]","\frac{3469}{9261 (3 x+2)}-\frac{103}{2646 (3 x+2)^2}+\frac{1}{567 (3 x+2)^3}-\frac{1331 \log (1-2 x)}{2401}+\frac{1331 \log (3 x+2)}{2401}","\frac{3469}{9261 (3 x+2)}-\frac{103}{2646 (3 x+2)^2}+\frac{1}{567 (3 x+2)^3}-\frac{1331 \log (1-2 x)}{2401}+\frac{1331 \log (3 x+2)}{2401}",1,"1/(567*(2 + 3*x)^3) - 103/(2646*(2 + 3*x)^2) + 3469/(9261*(2 + 3*x)) - (1331*Log[1 - 2*x])/2401 + (1331*Log[2 + 3*x])/2401","A",2,1,22,0.04545,1,"{88}"
1480,1,65,0,0.0266106,"\int \frac{(3+5 x)^3}{(1-2 x) (2+3 x)^5} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)*(2 + 3*x)^5),x]","-\frac{1331}{2401 (3 x+2)}+\frac{3469}{18522 (3 x+2)^2}-\frac{103}{3969 (3 x+2)^3}+\frac{1}{756 (3 x+2)^4}-\frac{2662 \log (1-2 x)}{16807}+\frac{2662 \log (3 x+2)}{16807}","-\frac{1331}{2401 (3 x+2)}+\frac{3469}{18522 (3 x+2)^2}-\frac{103}{3969 (3 x+2)^3}+\frac{1}{756 (3 x+2)^4}-\frac{2662 \log (1-2 x)}{16807}+\frac{2662 \log (3 x+2)}{16807}",1,"1/(756*(2 + 3*x)^4) - 103/(3969*(2 + 3*x)^3) + 3469/(18522*(2 + 3*x)^2) - 1331/(2401*(2 + 3*x)) - (2662*Log[1 - 2*x])/16807 + (2662*Log[2 + 3*x])/16807","A",2,1,22,0.04545,1,"{88}"
1481,1,76,0,0.0292861,"\int \frac{(3+5 x)^3}{(1-2 x) (2+3 x)^6} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)*(2 + 3*x)^6),x]","-\frac{2662}{16807 (3 x+2)}-\frac{1331}{4802 (3 x+2)^2}+\frac{3469}{27783 (3 x+2)^3}-\frac{103}{5292 (3 x+2)^4}+\frac{1}{945 (3 x+2)^5}-\frac{5324 \log (1-2 x)}{117649}+\frac{5324 \log (3 x+2)}{117649}","-\frac{2662}{16807 (3 x+2)}-\frac{1331}{4802 (3 x+2)^2}+\frac{3469}{27783 (3 x+2)^3}-\frac{103}{5292 (3 x+2)^4}+\frac{1}{945 (3 x+2)^5}-\frac{5324 \log (1-2 x)}{117649}+\frac{5324 \log (3 x+2)}{117649}",1,"1/(945*(2 + 3*x)^5) - 103/(5292*(2 + 3*x)^4) + 3469/(27783*(2 + 3*x)^3) - 1331/(4802*(2 + 3*x)^2) - 2662/(16807*(2 + 3*x)) - (5324*Log[1 - 2*x])/117649 + (5324*Log[2 + 3*x])/117649","A",2,1,22,0.04545,1,"{88}"
1482,1,87,0,0.0327222,"\int \frac{(3+5 x)^3}{(1-2 x) (2+3 x)^7} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)*(2 + 3*x)^7),x]","-\frac{5324}{117649 (3 x+2)}-\frac{1331}{16807 (3 x+2)^2}-\frac{1331}{7203 (3 x+2)^3}+\frac{3469}{37044 (3 x+2)^4}-\frac{103}{6615 (3 x+2)^5}+\frac{1}{1134 (3 x+2)^6}-\frac{10648 \log (1-2 x)}{823543}+\frac{10648 \log (3 x+2)}{823543}","-\frac{5324}{117649 (3 x+2)}-\frac{1331}{16807 (3 x+2)^2}-\frac{1331}{7203 (3 x+2)^3}+\frac{3469}{37044 (3 x+2)^4}-\frac{103}{6615 (3 x+2)^5}+\frac{1}{1134 (3 x+2)^6}-\frac{10648 \log (1-2 x)}{823543}+\frac{10648 \log (3 x+2)}{823543}",1,"1/(1134*(2 + 3*x)^6) - 103/(6615*(2 + 3*x)^5) + 3469/(37044*(2 + 3*x)^4) - 1331/(7203*(2 + 3*x)^3) - 1331/(16807*(2 + 3*x)^2) - 5324/(117649*(2 + 3*x)) - (10648*Log[1 - 2*x])/823543 + (10648*Log[2 + 3*x])/823543","A",2,1,22,0.04545,1,"{88}"
1483,1,98,0,0.0361192,"\int \frac{(3+5 x)^3}{(1-2 x) (2+3 x)^8} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)*(2 + 3*x)^8),x]","-\frac{10648}{823543 (3 x+2)}-\frac{2662}{117649 (3 x+2)^2}-\frac{2662}{50421 (3 x+2)^3}-\frac{1331}{9604 (3 x+2)^4}+\frac{3469}{46305 (3 x+2)^5}-\frac{103}{7938 (3 x+2)^6}+\frac{1}{1323 (3 x+2)^7}-\frac{21296 \log (1-2 x)}{5764801}+\frac{21296 \log (3 x+2)}{5764801}","-\frac{10648}{823543 (3 x+2)}-\frac{2662}{117649 (3 x+2)^2}-\frac{2662}{50421 (3 x+2)^3}-\frac{1331}{9604 (3 x+2)^4}+\frac{3469}{46305 (3 x+2)^5}-\frac{103}{7938 (3 x+2)^6}+\frac{1}{1323 (3 x+2)^7}-\frac{21296 \log (1-2 x)}{5764801}+\frac{21296 \log (3 x+2)}{5764801}",1,"1/(1323*(2 + 3*x)^7) - 103/(7938*(2 + 3*x)^6) + 3469/(46305*(2 + 3*x)^5) - 1331/(9604*(2 + 3*x)^4) - 2662/(50421*(2 + 3*x)^3) - 2662/(117649*(2 + 3*x)^2) - 10648/(823543*(2 + 3*x)) - (21296*Log[1 - 2*x])/5764801 + (21296*Log[2 + 3*x])/5764801","A",2,1,22,0.04545,1,"{88}"
1484,1,104,0,0.1184091,"\int \frac{(a+b x)^3}{(c+d x) (e+f x)} \, dx","Int[(a + b*x)^3/((c + d*x)*(e + f*x)),x]","-\frac{b^2 x (-3 a d f+b c f+b d e)}{d^2 f^2}-\frac{(b c-a d)^3 \log (c+d x)}{d^3 (d e-c f)}+\frac{(b e-a f)^3 \log (e+f x)}{f^3 (d e-c f)}+\frac{b^3 x^2}{2 d f}","-\frac{b^2 x (-3 a d f+b c f+b d e)}{d^2 f^2}-\frac{(b c-a d)^3 \log (c+d x)}{d^3 (d e-c f)}+\frac{(b e-a f)^3 \log (e+f x)}{f^3 (d e-c f)}+\frac{b^3 x^2}{2 d f}",1,"-((b^2*(b*d*e + b*c*f - 3*a*d*f)*x)/(d^2*f^2)) + (b^3*x^2)/(2*d*f) - ((b*c - a*d)^3*Log[c + d*x])/(d^3*(d*e - c*f)) + ((b*e - a*f)^3*Log[e + f*x])/(f^3*(d*e - c*f))","A",2,1,22,0.04545,1,"{72}"
1485,1,68,0,0.0301892,"\int \frac{(2+3 x)^8}{(1-2 x) (3+5 x)} \, dx","Int[(2 + 3*x)^8/((1 - 2*x)*(3 + 5*x)),x]","-\frac{6561 x^7}{70}-\frac{114453 x^6}{200}-\frac{8018271 x^5}{5000}-\frac{111146499 x^4}{40000}-\frac{345533877 x^3}{100000}-\frac{7136193339 x^2}{2000000}-\frac{40089855591 x}{10000000}-\frac{5764801 \log (1-2 x)}{2816}+\frac{\log (5 x+3)}{4296875}","-\frac{6561 x^7}{70}-\frac{114453 x^6}{200}-\frac{8018271 x^5}{5000}-\frac{111146499 x^4}{40000}-\frac{345533877 x^3}{100000}-\frac{7136193339 x^2}{2000000}-\frac{40089855591 x}{10000000}-\frac{5764801 \log (1-2 x)}{2816}+\frac{\log (5 x+3)}{4296875}",1,"(-40089855591*x)/10000000 - (7136193339*x^2)/2000000 - (345533877*x^3)/100000 - (111146499*x^4)/40000 - (8018271*x^5)/5000 - (114453*x^6)/200 - (6561*x^7)/70 - (5764801*Log[1 - 2*x])/2816 + Log[3 + 5*x]/4296875","A",2,1,22,0.04545,1,"{72}"
1486,1,61,0,0.0254426,"\int \frac{(2+3 x)^7}{(1-2 x) (3+5 x)} \, dx","Int[(2 + 3*x)^7/((1 - 2*x)*(3 + 5*x)),x]","-\frac{729 x^6}{20}-\frac{99873 x^5}{500}-\frac{2006937 x^4}{4000}-\frac{7889751 x^3}{10000}-\frac{187738857 x^2}{200000}-\frac{1127138733 x}{1000000}-\frac{823543 \log (1-2 x)}{1408}+\frac{\log (5 x+3)}{859375}","-\frac{729 x^6}{20}-\frac{99873 x^5}{500}-\frac{2006937 x^4}{4000}-\frac{7889751 x^3}{10000}-\frac{187738857 x^2}{200000}-\frac{1127138733 x}{1000000}-\frac{823543 \log (1-2 x)}{1408}+\frac{\log (5 x+3)}{859375}",1,"(-1127138733*x)/1000000 - (187738857*x^2)/200000 - (7889751*x^3)/10000 - (2006937*x^4)/4000 - (99873*x^5)/500 - (729*x^6)/20 - (823543*Log[1 - 2*x])/1408 + Log[3 + 5*x]/859375","A",2,1,22,0.04545,1,"{72}"
1487,1,54,0,0.0227725,"\int \frac{(2+3 x)^6}{(1-2 x) (3+5 x)} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)*(3 + 5*x)),x]","-\frac{729 x^5}{50}-\frac{28431 x^4}{400}-\frac{159813 x^3}{1000}-\frac{4693491 x^2}{20000}-\frac{31289679 x}{100000}-\frac{117649}{704} \log (1-2 x)+\frac{\log (5 x+3)}{171875}","-\frac{729 x^5}{50}-\frac{28431 x^4}{400}-\frac{159813 x^3}{1000}-\frac{4693491 x^2}{20000}-\frac{31289679 x}{100000}-\frac{117649}{704} \log (1-2 x)+\frac{\log (5 x+3)}{171875}",1,"(-31289679*x)/100000 - (4693491*x^2)/20000 - (159813*x^3)/1000 - (28431*x^4)/400 - (729*x^5)/50 - (117649*Log[1 - 2*x])/704 + Log[3 + 5*x]/171875","A",2,1,22,0.04545,1,"{72}"
1488,1,47,0,0.0200036,"\int \frac{(2+3 x)^5}{(1-2 x) (3+5 x)} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)*(3 + 5*x)),x]","-\frac{243 x^4}{40}-\frac{2619 x^3}{100}-\frac{107433 x^2}{2000}-\frac{848277 x}{10000}-\frac{16807}{352} \log (1-2 x)+\frac{\log (5 x+3)}{34375}","-\frac{243 x^4}{40}-\frac{2619 x^3}{100}-\frac{107433 x^2}{2000}-\frac{848277 x}{10000}-\frac{16807}{352} \log (1-2 x)+\frac{\log (5 x+3)}{34375}",1,"(-848277*x)/10000 - (107433*x^2)/2000 - (2619*x^3)/100 - (243*x^4)/40 - (16807*Log[1 - 2*x])/352 + Log[3 + 5*x]/34375","A",2,1,22,0.04545,1,"{72}"
1489,1,40,0,0.0177554,"\int \frac{(2+3 x)^4}{(1-2 x) (3+5 x)} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)*(3 + 5*x)),x]","-\frac{27 x^3}{10}-\frac{2079 x^2}{200}-\frac{21951 x}{1000}-\frac{2401}{176} \log (1-2 x)+\frac{\log (5 x+3)}{6875}","-\frac{27 x^3}{10}-\frac{2079 x^2}{200}-\frac{21951 x}{1000}-\frac{2401}{176} \log (1-2 x)+\frac{\log (5 x+3)}{6875}",1,"(-21951*x)/1000 - (2079*x^2)/200 - (27*x^3)/10 - (2401*Log[1 - 2*x])/176 + Log[3 + 5*x]/6875","A",2,1,22,0.04545,1,"{72}"
1490,1,33,0,0.0136325,"\int \frac{(2+3 x)^3}{(1-2 x) (3+5 x)} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)*(3 + 5*x)),x]","-\frac{27 x^2}{20}-\frac{513 x}{100}-\frac{343}{88} \log (1-2 x)+\frac{\log (5 x+3)}{1375}","-\frac{27 x^2}{20}-\frac{513 x}{100}-\frac{343}{88} \log (1-2 x)+\frac{\log (5 x+3)}{1375}",1,"(-513*x)/100 - (27*x^2)/20 - (343*Log[1 - 2*x])/88 + Log[3 + 5*x]/1375","A",2,1,22,0.04545,1,"{72}"
1491,1,26,0,0.0127338,"\int \frac{(2+3 x)^2}{(1-2 x) (3+5 x)} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)*(3 + 5*x)),x]","-\frac{9 x}{10}-\frac{49}{44} \log (1-2 x)+\frac{1}{275} \log (5 x+3)","-\frac{9 x}{10}-\frac{49}{44} \log (1-2 x)+\frac{1}{275} \log (5 x+3)",1,"(-9*x)/10 - (49*Log[1 - 2*x])/44 + Log[3 + 5*x]/275","A",2,1,22,0.04545,1,"{72}"
1492,1,21,0,0.0104349,"\int \frac{2+3 x}{(1-2 x) (3+5 x)} \, dx","Int[(2 + 3*x)/((1 - 2*x)*(3 + 5*x)),x]","\frac{1}{55} \log (5 x+3)-\frac{7}{22} \log (1-2 x)","\frac{1}{55} \log (5 x+3)-\frac{7}{22} \log (1-2 x)",1,"(-7*Log[1 - 2*x])/22 + Log[3 + 5*x]/55","A",2,1,20,0.05000,1,"{72}"
1493,1,21,0,0.0038877,"\int \frac{1}{(1-2 x) (3+5 x)} \, dx","Int[1/((1 - 2*x)*(3 + 5*x)),x]","\frac{1}{11} \log (5 x+3)-\frac{1}{11} \log (1-2 x)","\frac{1}{11} \log (5 x+3)-\frac{1}{11} \log (1-2 x)",1,"-Log[1 - 2*x]/11 + Log[3 + 5*x]/11","A",3,2,15,0.1333,1,"{36, 31}"
1494,1,31,0,0.0143793,"\int \frac{1}{(1-2 x) (2+3 x) (3+5 x)} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)*(3 + 5*x)),x]","-\frac{2}{77} \log (1-2 x)-\frac{3}{7} \log (3 x+2)+\frac{5}{11} \log (5 x+3)","-\frac{2}{77} \log (1-2 x)-\frac{3}{7} \log (3 x+2)+\frac{5}{11} \log (5 x+3)",1,"(-2*Log[1 - 2*x])/77 - (3*Log[2 + 3*x])/7 + (5*Log[3 + 5*x])/11","A",2,1,22,0.04545,1,"{72}"
1495,1,42,0,0.017436,"\int \frac{1}{(1-2 x) (2+3 x)^2 (3+5 x)} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^2*(3 + 5*x)),x]","\frac{3}{7 (3 x+2)}-\frac{4}{539} \log (1-2 x)-\frac{111}{49} \log (3 x+2)+\frac{25}{11} \log (5 x+3)","\frac{3}{7 (3 x+2)}-\frac{4}{539} \log (1-2 x)-\frac{111}{49} \log (3 x+2)+\frac{25}{11} \log (5 x+3)",1,"3/(7*(2 + 3*x)) - (4*Log[1 - 2*x])/539 - (111*Log[2 + 3*x])/49 + (25*Log[3 + 5*x])/11","A",2,1,22,0.04545,1,"{72}"
1496,1,53,0,0.022631,"\int \frac{1}{(1-2 x) (2+3 x)^3 (3+5 x)} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^3*(3 + 5*x)),x]","\frac{111}{49 (3 x+2)}+\frac{3}{14 (3 x+2)^2}-\frac{8 \log (1-2 x)}{3773}-\frac{3897}{343} \log (3 x+2)+\frac{125}{11} \log (5 x+3)","\frac{111}{49 (3 x+2)}+\frac{3}{14 (3 x+2)^2}-\frac{8 \log (1-2 x)}{3773}-\frac{3897}{343} \log (3 x+2)+\frac{125}{11} \log (5 x+3)",1,"3/(14*(2 + 3*x)^2) + 111/(49*(2 + 3*x)) - (8*Log[1 - 2*x])/3773 - (3897*Log[2 + 3*x])/343 + (125*Log[3 + 5*x])/11","A",2,1,22,0.04545,1,"{72}"
1497,1,64,0,0.0281747,"\int \frac{1}{(1-2 x) (2+3 x)^4 (3+5 x)} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^4*(3 + 5*x)),x]","\frac{3897}{343 (3 x+2)}+\frac{111}{98 (3 x+2)^2}+\frac{1}{7 (3 x+2)^3}-\frac{16 \log (1-2 x)}{26411}-\frac{136419 \log (3 x+2)}{2401}+\frac{625}{11} \log (5 x+3)","\frac{3897}{343 (3 x+2)}+\frac{111}{98 (3 x+2)^2}+\frac{1}{7 (3 x+2)^3}-\frac{16 \log (1-2 x)}{26411}-\frac{136419 \log (3 x+2)}{2401}+\frac{625}{11} \log (5 x+3)",1,"1/(7*(2 + 3*x)^3) + 111/(98*(2 + 3*x)^2) + 3897/(343*(2 + 3*x)) - (16*Log[1 - 2*x])/26411 - (136419*Log[2 + 3*x])/2401 + (625*Log[3 + 5*x])/11","A",2,1,22,0.04545,1,"{72}"
1498,1,75,0,0.0349027,"\int \frac{1}{(1-2 x) (2+3 x)^5 (3+5 x)} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^5*(3 + 5*x)),x]","\frac{136419}{2401 (3 x+2)}+\frac{3897}{686 (3 x+2)^2}+\frac{37}{49 (3 x+2)^3}+\frac{3}{28 (3 x+2)^4}-\frac{32 \log (1-2 x)}{184877}-\frac{4774713 \log (3 x+2)}{16807}+\frac{3125}{11} \log (5 x+3)","\frac{136419}{2401 (3 x+2)}+\frac{3897}{686 (3 x+2)^2}+\frac{37}{49 (3 x+2)^3}+\frac{3}{28 (3 x+2)^4}-\frac{32 \log (1-2 x)}{184877}-\frac{4774713 \log (3 x+2)}{16807}+\frac{3125}{11} \log (5 x+3)",1,"3/(28*(2 + 3*x)^4) + 37/(49*(2 + 3*x)^3) + 3897/(686*(2 + 3*x)^2) + 136419/(2401*(2 + 3*x)) - (32*Log[1 - 2*x])/184877 - (4774713*Log[2 + 3*x])/16807 + (3125*Log[3 + 5*x])/11","A",2,1,22,0.04545,1,"{72}"
1499,1,86,0,0.0398258,"\int \frac{1}{(1-2 x) (2+3 x)^6 (3+5 x)} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^6*(3 + 5*x)),x]","\frac{4774713}{16807 (3 x+2)}+\frac{136419}{4802 (3 x+2)^2}+\frac{1299}{343 (3 x+2)^3}+\frac{111}{196 (3 x+2)^4}+\frac{3}{35 (3 x+2)^5}-\frac{64 \log (1-2 x)}{1294139}-\frac{167115051 \log (3 x+2)}{117649}+\frac{15625}{11} \log (5 x+3)","\frac{4774713}{16807 (3 x+2)}+\frac{136419}{4802 (3 x+2)^2}+\frac{1299}{343 (3 x+2)^3}+\frac{111}{196 (3 x+2)^4}+\frac{3}{35 (3 x+2)^5}-\frac{64 \log (1-2 x)}{1294139}-\frac{167115051 \log (3 x+2)}{117649}+\frac{15625}{11} \log (5 x+3)",1,"3/(35*(2 + 3*x)^5) + 111/(196*(2 + 3*x)^4) + 1299/(343*(2 + 3*x)^3) + 136419/(4802*(2 + 3*x)^2) + 4774713/(16807*(2 + 3*x)) - (64*Log[1 - 2*x])/1294139 - (167115051*Log[2 + 3*x])/117649 + (15625*Log[3 + 5*x])/11","A",2,1,22,0.04545,1,"{72}"
1500,1,97,0,0.0457392,"\int \frac{1}{(1-2 x) (2+3 x)^7 (3+5 x)} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^7*(3 + 5*x)),x]","\frac{167115051}{117649 (3 x+2)}+\frac{4774713}{33614 (3 x+2)^2}+\frac{45473}{2401 (3 x+2)^3}+\frac{3897}{1372 (3 x+2)^4}+\frac{111}{245 (3 x+2)^5}+\frac{1}{14 (3 x+2)^6}-\frac{128 \log (1-2 x)}{9058973}-\frac{5849026977 \log (3 x+2)}{823543}+\frac{78125}{11} \log (5 x+3)","\frac{167115051}{117649 (3 x+2)}+\frac{4774713}{33614 (3 x+2)^2}+\frac{45473}{2401 (3 x+2)^3}+\frac{3897}{1372 (3 x+2)^4}+\frac{111}{245 (3 x+2)^5}+\frac{1}{14 (3 x+2)^6}-\frac{128 \log (1-2 x)}{9058973}-\frac{5849026977 \log (3 x+2)}{823543}+\frac{78125}{11} \log (5 x+3)",1,"1/(14*(2 + 3*x)^6) + 111/(245*(2 + 3*x)^5) + 3897/(1372*(2 + 3*x)^4) + 45473/(2401*(2 + 3*x)^3) + 4774713/(33614*(2 + 3*x)^2) + 167115051/(117649*(2 + 3*x)) - (128*Log[1 - 2*x])/9058973 - (5849026977*Log[2 + 3*x])/823543 + (78125*Log[3 + 5*x])/11","A",2,1,22,0.04545,1,"{72}"
1501,1,72,0,0.0338545,"\int \frac{(2+3 x)^8}{(1-2 x) (3+5 x)^2} \, dx","Int[(2 + 3*x)^8/((1 - 2*x)*(3 + 5*x)^2),x]","-\frac{2187 x^6}{100}-\frac{303993 x^5}{2500}-\frac{6194313 x^4}{20000}-\frac{24660207 x^3}{50000}-\frac{118543581 x^2}{200000}-\frac{3579885909 x}{5000000}-\frac{1}{4296875 (5 x+3)}-\frac{5764801 \log (1-2 x)}{15488}+\frac{266 \log (5 x+3)}{47265625}","-\frac{2187 x^6}{100}-\frac{303993 x^5}{2500}-\frac{6194313 x^4}{20000}-\frac{24660207 x^3}{50000}-\frac{118543581 x^2}{200000}-\frac{3579885909 x}{5000000}-\frac{1}{4296875 (5 x+3)}-\frac{5764801 \log (1-2 x)}{15488}+\frac{266 \log (5 x+3)}{47265625}",1,"(-3579885909*x)/5000000 - (118543581*x^2)/200000 - (24660207*x^3)/50000 - (6194313*x^4)/20000 - (303993*x^5)/2500 - (2187*x^6)/100 - 1/(4296875*(3 + 5*x)) - (5764801*Log[1 - 2*x])/15488 + (266*Log[3 + 5*x])/47265625","A",2,1,22,0.04545,1,"{88}"
1502,1,65,0,0.0325331,"\int \frac{(2+3 x)^7}{(1-2 x) (3+5 x)^2} \, dx","Int[(2 + 3*x)^7/((1 - 2*x)*(3 + 5*x)^2),x]","-\frac{2187 x^5}{250}-\frac{86751 x^4}{2000}-\frac{495477 x^3}{5000}-\frac{14750667 x^2}{100000}-\frac{19846971 x}{100000}-\frac{1}{859375 (5 x+3)}-\frac{823543 \log (1-2 x)}{7744}+\frac{233 \log (5 x+3)}{9453125}","-\frac{2187 x^5}{250}-\frac{86751 x^4}{2000}-\frac{495477 x^3}{5000}-\frac{14750667 x^2}{100000}-\frac{19846971 x}{100000}-\frac{1}{859375 (5 x+3)}-\frac{823543 \log (1-2 x)}{7744}+\frac{233 \log (5 x+3)}{9453125}",1,"(-19846971*x)/100000 - (14750667*x^2)/100000 - (495477*x^3)/5000 - (86751*x^4)/2000 - (2187*x^5)/250 - 1/(859375*(3 + 5*x)) - (823543*Log[1 - 2*x])/7744 + (233*Log[3 + 5*x])/9453125","A",2,1,22,0.04545,1,"{88}"
1503,1,58,0,0.0262073,"\int \frac{(2+3 x)^6}{(1-2 x) (3+5 x)^2} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)*(3 + 5*x)^2),x]","-\frac{729 x^4}{200}-\frac{8019 x^3}{500}-\frac{335097 x^2}{10000}-\frac{2682909 x}{50000}-\frac{1}{171875 (5 x+3)}-\frac{117649 \log (1-2 x)}{3872}+\frac{8 \log (5 x+3)}{75625}","-\frac{729 x^4}{200}-\frac{8019 x^3}{500}-\frac{335097 x^2}{10000}-\frac{2682909 x}{50000}-\frac{1}{171875 (5 x+3)}-\frac{117649 \log (1-2 x)}{3872}+\frac{8 \log (5 x+3)}{75625}",1,"(-2682909*x)/50000 - (335097*x^2)/10000 - (8019*x^3)/500 - (729*x^4)/200 - 1/(171875*(3 + 5*x)) - (117649*Log[1 - 2*x])/3872 + (8*Log[3 + 5*x])/75625","A",2,1,22,0.04545,1,"{88}"
1504,1,51,0,0.0219625,"\int \frac{(2+3 x)^5}{(1-2 x) (3+5 x)^2} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)*(3 + 5*x)^2),x]","-\frac{81 x^3}{50}-\frac{6399 x^2}{1000}-\frac{69039 x}{5000}-\frac{1}{34375 (5 x+3)}-\frac{16807 \log (1-2 x)}{1936}+\frac{167 \log (5 x+3)}{378125}","-\frac{81 x^3}{50}-\frac{6399 x^2}{1000}-\frac{69039 x}{5000}-\frac{1}{34375 (5 x+3)}-\frac{16807 \log (1-2 x)}{1936}+\frac{167 \log (5 x+3)}{378125}",1,"(-69039*x)/5000 - (6399*x^2)/1000 - (81*x^3)/50 - 1/(34375*(3 + 5*x)) - (16807*Log[1 - 2*x])/1936 + (167*Log[3 + 5*x])/378125","A",2,1,22,0.04545,1,"{88}"
1505,1,44,0,0.0195941,"\int \frac{(2+3 x)^4}{(1-2 x) (3+5 x)^2} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)*(3 + 5*x)^2),x]","-\frac{81 x^2}{100}-\frac{1593 x}{500}-\frac{1}{6875 (5 x+3)}-\frac{2401}{968} \log (1-2 x)+\frac{134 \log (5 x+3)}{75625}","-\frac{81 x^2}{100}-\frac{1593 x}{500}-\frac{1}{6875 (5 x+3)}-\frac{2401}{968} \log (1-2 x)+\frac{134 \log (5 x+3)}{75625}",1,"(-1593*x)/500 - (81*x^2)/100 - 1/(6875*(3 + 5*x)) - (2401*Log[1 - 2*x])/968 + (134*Log[3 + 5*x])/75625","A",2,1,22,0.04545,1,"{88}"
1506,1,37,0,0.0153583,"\int \frac{(2+3 x)^3}{(1-2 x) (3+5 x)^2} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)*(3 + 5*x)^2),x]","-\frac{27 x}{50}-\frac{1}{1375 (5 x+3)}-\frac{343}{484} \log (1-2 x)+\frac{101 \log (5 x+3)}{15125}","-\frac{27 x}{50}-\frac{1}{1375 (5 x+3)}-\frac{343}{484} \log (1-2 x)+\frac{101 \log (5 x+3)}{15125}",1,"(-27*x)/50 - 1/(1375*(3 + 5*x)) - (343*Log[1 - 2*x])/484 + (101*Log[3 + 5*x])/15125","A",2,1,22,0.04545,1,"{88}"
1507,1,32,0,0.0140177,"\int \frac{(2+3 x)^2}{(1-2 x) (3+5 x)^2} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)*(3 + 5*x)^2),x]","-\frac{1}{275 (5 x+3)}-\frac{49}{242} \log (1-2 x)+\frac{68 \log (5 x+3)}{3025}","-\frac{1}{275 (5 x+3)}-\frac{49}{242} \log (1-2 x)+\frac{68 \log (5 x+3)}{3025}",1,"-1/(275*(3 + 5*x)) - (49*Log[1 - 2*x])/242 + (68*Log[3 + 5*x])/3025","A",2,1,22,0.04545,1,"{88}"
1508,1,32,0,0.0130007,"\int \frac{2+3 x}{(1-2 x) (3+5 x)^2} \, dx","Int[(2 + 3*x)/((1 - 2*x)*(3 + 5*x)^2),x]","-\frac{1}{55 (5 x+3)}-\frac{7}{121} \log (1-2 x)+\frac{7}{121} \log (5 x+3)","-\frac{1}{55 (5 x+3)}-\frac{7}{121} \log (1-2 x)+\frac{7}{121} \log (5 x+3)",1,"-1/(55*(3 + 5*x)) - (7*Log[1 - 2*x])/121 + (7*Log[3 + 5*x])/121","A",2,1,20,0.05000,1,"{77}"
1509,1,32,0,0.0111126,"\int \frac{1}{(1-2 x) (3+5 x)^2} \, dx","Int[1/((1 - 2*x)*(3 + 5*x)^2),x]","-\frac{1}{11 (5 x+3)}-\frac{2}{121} \log (1-2 x)+\frac{2}{121} \log (5 x+3)","-\frac{1}{11 (5 x+3)}-\frac{2}{121} \log (1-2 x)+\frac{2}{121} \log (5 x+3)",1,"-1/(11*(3 + 5*x)) - (2*Log[1 - 2*x])/121 + (2*Log[3 + 5*x])/121","A",2,1,15,0.06667,1,"{44}"
1510,1,42,0,0.0202411,"\int \frac{1}{(1-2 x) (2+3 x) (3+5 x)^2} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)*(3 + 5*x)^2),x]","-\frac{5}{11 (5 x+3)}-\frac{4}{847} \log (1-2 x)+\frac{9}{7} \log (3 x+2)-\frac{155}{121} \log (5 x+3)","-\frac{5}{11 (5 x+3)}-\frac{4}{847} \log (1-2 x)+\frac{9}{7} \log (3 x+2)-\frac{155}{121} \log (5 x+3)",1,"-5/(11*(3 + 5*x)) - (4*Log[1 - 2*x])/847 + (9*Log[2 + 3*x])/7 - (155*Log[3 + 5*x])/121","A",2,1,22,0.04545,1,"{72}"
1511,1,53,0,0.0230057,"\int \frac{1}{(1-2 x) (2+3 x)^2 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^2*(3 + 5*x)^2),x]","-\frac{9}{7 (3 x+2)}-\frac{25}{11 (5 x+3)}-\frac{8 \log (1-2 x)}{5929}+\frac{648}{49} \log (3 x+2)-\frac{1600}{121} \log (5 x+3)","-\frac{9}{7 (3 x+2)}-\frac{25}{11 (5 x+3)}-\frac{8 \log (1-2 x)}{5929}+\frac{648}{49} \log (3 x+2)-\frac{1600}{121} \log (5 x+3)",1,"-9/(7*(2 + 3*x)) - 25/(11*(3 + 5*x)) - (8*Log[1 - 2*x])/5929 + (648*Log[2 + 3*x])/49 - (1600*Log[3 + 5*x])/121","A",2,1,22,0.04545,1,"{88}"
1512,1,64,0,0.0291976,"\int \frac{1}{(1-2 x) (2+3 x)^3 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^3*(3 + 5*x)^2),x]","-\frac{648}{49 (3 x+2)}-\frac{125}{11 (5 x+3)}-\frac{9}{14 (3 x+2)^2}-\frac{16 \log (1-2 x)}{41503}+\frac{34371}{343} \log (3 x+2)-\frac{12125}{121} \log (5 x+3)","-\frac{648}{49 (3 x+2)}-\frac{125}{11 (5 x+3)}-\frac{9}{14 (3 x+2)^2}-\frac{16 \log (1-2 x)}{41503}+\frac{34371}{343} \log (3 x+2)-\frac{12125}{121} \log (5 x+3)",1,"-9/(14*(2 + 3*x)^2) - 648/(49*(2 + 3*x)) - 125/(11*(3 + 5*x)) - (16*Log[1 - 2*x])/41503 + (34371*Log[2 + 3*x])/343 - (12125*Log[3 + 5*x])/121","A",2,1,22,0.04545,1,"{88}"
1513,1,75,0,0.0348619,"\int \frac{1}{(1-2 x) (2+3 x)^4 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^4*(3 + 5*x)^2),x]","-\frac{34371}{343 (3 x+2)}-\frac{625}{11 (5 x+3)}-\frac{324}{49 (3 x+2)^2}-\frac{3}{7 (3 x+2)^3}-\frac{32 \log (1-2 x)}{290521}+\frac{1612242 \log (3 x+2)}{2401}-\frac{81250}{121} \log (5 x+3)","-\frac{34371}{343 (3 x+2)}-\frac{625}{11 (5 x+3)}-\frac{324}{49 (3 x+2)^2}-\frac{3}{7 (3 x+2)^3}-\frac{32 \log (1-2 x)}{290521}+\frac{1612242 \log (3 x+2)}{2401}-\frac{81250}{121} \log (5 x+3)",1,"-3/(7*(2 + 3*x)^3) - 324/(49*(2 + 3*x)^2) - 34371/(343*(2 + 3*x)) - 625/(11*(3 + 5*x)) - (32*Log[1 - 2*x])/290521 + (1612242*Log[2 + 3*x])/2401 - (81250*Log[3 + 5*x])/121","A",2,1,22,0.04545,1,"{88}"
1514,1,86,0,0.0407622,"\int \frac{1}{(1-2 x) (2+3 x)^5 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^5*(3 + 5*x)^2),x]","-\frac{1612242}{2401 (3 x+2)}-\frac{3125}{11 (5 x+3)}-\frac{34371}{686 (3 x+2)^2}-\frac{216}{49 (3 x+2)^3}-\frac{9}{28 (3 x+2)^4}-\frac{64 \log (1-2 x)}{2033647}+\frac{70752609 \log (3 x+2)}{16807}-\frac{509375}{121} \log (5 x+3)","-\frac{1612242}{2401 (3 x+2)}-\frac{3125}{11 (5 x+3)}-\frac{34371}{686 (3 x+2)^2}-\frac{216}{49 (3 x+2)^3}-\frac{9}{28 (3 x+2)^4}-\frac{64 \log (1-2 x)}{2033647}+\frac{70752609 \log (3 x+2)}{16807}-\frac{509375}{121} \log (5 x+3)",1,"-9/(28*(2 + 3*x)^4) - 216/(49*(2 + 3*x)^3) - 34371/(686*(2 + 3*x)^2) - 1612242/(2401*(2 + 3*x)) - 3125/(11*(3 + 5*x)) - (64*Log[1 - 2*x])/2033647 + (70752609*Log[2 + 3*x])/16807 - (509375*Log[3 + 5*x])/121","A",2,1,22,0.04545,1,"{88}"
1515,1,97,0,0.0509471,"\int \frac{1}{(1-2 x) (2+3 x)^6 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^6*(3 + 5*x)^2),x]","-\frac{70752609}{16807 (3 x+2)}-\frac{15625}{11 (5 x+3)}-\frac{806121}{2401 (3 x+2)^2}-\frac{11457}{343 (3 x+2)^3}-\frac{162}{49 (3 x+2)^4}-\frac{9}{35 (3 x+2)^5}-\frac{128 \log (1-2 x)}{14235529}+\frac{2977686468 \log (3 x+2)}{117649}-\frac{3062500}{121} \log (5 x+3)","-\frac{70752609}{16807 (3 x+2)}-\frac{15625}{11 (5 x+3)}-\frac{806121}{2401 (3 x+2)^2}-\frac{11457}{343 (3 x+2)^3}-\frac{162}{49 (3 x+2)^4}-\frac{9}{35 (3 x+2)^5}-\frac{128 \log (1-2 x)}{14235529}+\frac{2977686468 \log (3 x+2)}{117649}-\frac{3062500}{121} \log (5 x+3)",1,"-9/(35*(2 + 3*x)^5) - 162/(49*(2 + 3*x)^4) - 11457/(343*(2 + 3*x)^3) - 806121/(2401*(2 + 3*x)^2) - 70752609/(16807*(2 + 3*x)) - 15625/(11*(3 + 5*x)) - (128*Log[1 - 2*x])/14235529 + (2977686468*Log[2 + 3*x])/117649 - (3062500*Log[3 + 5*x])/121","A",2,1,22,0.04545,1,"{88}"
1516,1,76,0,0.0383633,"\int \frac{(2+3 x)^8}{(1-2 x) (3+5 x)^3} \, dx","Int[(2 + 3*x)^8/((1 - 2*x)*(3 + 5*x)^3),x]","-\frac{6561 x^5}{1250}-\frac{264627 x^4}{10000}-\frac{1535517 x^3}{25000}-\frac{9268263 x^2}{100000}-\frac{62934003 x}{500000}-\frac{266}{47265625 (5 x+3)}-\frac{1}{8593750 (5 x+3)^2}-\frac{5764801 \log (1-2 x)}{85184}+\frac{31024 \log (5 x+3)}{519921875}","-\frac{6561 x^5}{1250}-\frac{264627 x^4}{10000}-\frac{1535517 x^3}{25000}-\frac{9268263 x^2}{100000}-\frac{62934003 x}{500000}-\frac{266}{47265625 (5 x+3)}-\frac{1}{8593750 (5 x+3)^2}-\frac{5764801 \log (1-2 x)}{85184}+\frac{31024 \log (5 x+3)}{519921875}",1,"(-62934003*x)/500000 - (9268263*x^2)/100000 - (1535517*x^3)/25000 - (264627*x^4)/10000 - (6561*x^5)/1250 - 1/(8593750*(3 + 5*x)^2) - 266/(47265625*(3 + 5*x)) - (5764801*Log[1 - 2*x])/85184 + (31024*Log[3 + 5*x])/519921875","A",2,1,22,0.04545,1,"{88}"
1517,1,69,0,0.0320366,"\int \frac{(2+3 x)^7}{(1-2 x) (3+5 x)^3} \, dx","Int[(2 + 3*x)^7/((1 - 2*x)*(3 + 5*x)^3),x]","-\frac{2187 x^4}{1000}-\frac{24543 x^3}{2500}-\frac{1044657 x^2}{50000}-\frac{339309 x}{10000}-\frac{233}{9453125 (5 x+3)}-\frac{1}{1718750 (5 x+3)^2}-\frac{823543 \log (1-2 x)}{42592}+\frac{4667 \log (5 x+3)}{20796875}","-\frac{2187 x^4}{1000}-\frac{24543 x^3}{2500}-\frac{1044657 x^2}{50000}-\frac{339309 x}{10000}-\frac{233}{9453125 (5 x+3)}-\frac{1}{1718750 (5 x+3)^2}-\frac{823543 \log (1-2 x)}{42592}+\frac{4667 \log (5 x+3)}{20796875}",1,"(-339309*x)/10000 - (1044657*x^2)/50000 - (24543*x^3)/2500 - (2187*x^4)/1000 - 1/(1718750*(3 + 5*x)^2) - 233/(9453125*(3 + 5*x)) - (823543*Log[1 - 2*x])/42592 + (4667*Log[3 + 5*x])/20796875","A",2,1,22,0.04545,1,"{88}"
1518,1,62,0,0.0280522,"\int \frac{(2+3 x)^6}{(1-2 x) (3+5 x)^3} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)*(3 + 5*x)^3),x]","-\frac{243 x^3}{250}-\frac{19683 x^2}{5000}-\frac{216999 x}{25000}-\frac{8}{75625 (5 x+3)}-\frac{1}{343750 (5 x+3)^2}-\frac{117649 \log (1-2 x)}{21296}+\frac{3347 \log (5 x+3)}{4159375}","-\frac{243 x^3}{250}-\frac{19683 x^2}{5000}-\frac{216999 x}{25000}-\frac{8}{75625 (5 x+3)}-\frac{1}{343750 (5 x+3)^2}-\frac{117649 \log (1-2 x)}{21296}+\frac{3347 \log (5 x+3)}{4159375}",1,"(-216999*x)/25000 - (19683*x^2)/5000 - (243*x^3)/250 - 1/(343750*(3 + 5*x)^2) - 8/(75625*(3 + 5*x)) - (117649*Log[1 - 2*x])/21296 + (3347*Log[3 + 5*x])/4159375","A",2,1,22,0.04545,1,"{88}"
1519,1,55,0,0.0239801,"\int \frac{(2+3 x)^5}{(1-2 x) (3+5 x)^3} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)*(3 + 5*x)^3),x]","-\frac{243 x^2}{500}-\frac{4941 x}{2500}-\frac{167}{378125 (5 x+3)}-\frac{1}{68750 (5 x+3)^2}-\frac{16807 \log (1-2 x)}{10648}+\frac{11224 \log (5 x+3)}{4159375}","-\frac{243 x^2}{500}-\frac{4941 x}{2500}-\frac{167}{378125 (5 x+3)}-\frac{1}{68750 (5 x+3)^2}-\frac{16807 \log (1-2 x)}{10648}+\frac{11224 \log (5 x+3)}{4159375}",1,"(-4941*x)/2500 - (243*x^2)/500 - 1/(68750*(3 + 5*x)^2) - 167/(378125*(3 + 5*x)) - (16807*Log[1 - 2*x])/10648 + (11224*Log[3 + 5*x])/4159375","A",2,1,22,0.04545,1,"{88}"
1520,1,48,0,0.0211931,"\int \frac{(2+3 x)^4}{(1-2 x) (3+5 x)^3} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)*(3 + 5*x)^3),x]","-\frac{81 x}{250}-\frac{134}{75625 (5 x+3)}-\frac{1}{13750 (5 x+3)^2}-\frac{2401 \log (1-2 x)}{5324}+\frac{6802 \log (5 x+3)}{831875}","-\frac{81 x}{250}-\frac{134}{75625 (5 x+3)}-\frac{1}{13750 (5 x+3)^2}-\frac{2401 \log (1-2 x)}{5324}+\frac{6802 \log (5 x+3)}{831875}",1,"(-81*x)/250 - 1/(13750*(3 + 5*x)^2) - 134/(75625*(3 + 5*x)) - (2401*Log[1 - 2*x])/5324 + (6802*Log[3 + 5*x])/831875","A",2,1,22,0.04545,1,"{88}"
1521,1,43,0,0.0181204,"\int \frac{(2+3 x)^3}{(1-2 x) (3+5 x)^3} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)*(3 + 5*x)^3),x]","-\frac{101}{15125 (5 x+3)}-\frac{1}{2750 (5 x+3)^2}-\frac{343 \log (1-2 x)}{2662}+\frac{3469 \log (5 x+3)}{166375}","-\frac{101}{15125 (5 x+3)}-\frac{1}{2750 (5 x+3)^2}-\frac{343 \log (1-2 x)}{2662}+\frac{3469 \log (5 x+3)}{166375}",1,"-1/(2750*(3 + 5*x)^2) - 101/(15125*(3 + 5*x)) - (343*Log[1 - 2*x])/2662 + (3469*Log[3 + 5*x])/166375","A",2,1,22,0.04545,1,"{88}"
1522,1,43,0,0.0193045,"\int \frac{(2+3 x)^2}{(1-2 x) (3+5 x)^3} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)*(3 + 5*x)^3),x]","-\frac{68}{3025 (5 x+3)}-\frac{1}{550 (5 x+3)^2}-\frac{49 \log (1-2 x)}{1331}+\frac{49 \log (5 x+3)}{1331}","-\frac{68}{3025 (5 x+3)}-\frac{1}{550 (5 x+3)^2}-\frac{49 \log (1-2 x)}{1331}+\frac{49 \log (5 x+3)}{1331}",1,"-1/(550*(3 + 5*x)^2) - 68/(3025*(3 + 5*x)) - (49*Log[1 - 2*x])/1331 + (49*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{88}"
1523,1,43,0,0.0157576,"\int \frac{2+3 x}{(1-2 x) (3+5 x)^3} \, dx","Int[(2 + 3*x)/((1 - 2*x)*(3 + 5*x)^3),x]","-\frac{7}{121 (5 x+3)}-\frac{1}{110 (5 x+3)^2}-\frac{14 \log (1-2 x)}{1331}+\frac{14 \log (5 x+3)}{1331}","-\frac{7}{121 (5 x+3)}-\frac{1}{110 (5 x+3)^2}-\frac{14 \log (1-2 x)}{1331}+\frac{14 \log (5 x+3)}{1331}",1,"-1/(110*(3 + 5*x)^2) - 7/(121*(3 + 5*x)) - (14*Log[1 - 2*x])/1331 + (14*Log[3 + 5*x])/1331","A",2,1,20,0.05000,1,"{77}"
1524,1,43,0,0.014529,"\int \frac{1}{(1-2 x) (3+5 x)^3} \, dx","Int[1/((1 - 2*x)*(3 + 5*x)^3),x]","-\frac{2}{121 (5 x+3)}-\frac{1}{22 (5 x+3)^2}-\frac{4 \log (1-2 x)}{1331}+\frac{4 \log (5 x+3)}{1331}","-\frac{2}{121 (5 x+3)}-\frac{1}{22 (5 x+3)^2}-\frac{4 \log (1-2 x)}{1331}+\frac{4 \log (5 x+3)}{1331}",1,"-1/(22*(3 + 5*x)^2) - 2/(121*(3 + 5*x)) - (4*Log[1 - 2*x])/1331 + (4*Log[3 + 5*x])/1331","A",2,1,15,0.06667,1,"{44}"
1525,1,53,0,0.0231117,"\int \frac{1}{(1-2 x) (2+3 x) (3+5 x)^3} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)*(3 + 5*x)^3),x]","\frac{155}{121 (5 x+3)}-\frac{5}{22 (5 x+3)^2}-\frac{8 \log (1-2 x)}{9317}-\frac{27}{7} \log (3 x+2)+\frac{5135 \log (5 x+3)}{1331}","\frac{155}{121 (5 x+3)}-\frac{5}{22 (5 x+3)^2}-\frac{8 \log (1-2 x)}{9317}-\frac{27}{7} \log (3 x+2)+\frac{5135 \log (5 x+3)}{1331}",1,"-5/(22*(3 + 5*x)^2) + 155/(121*(3 + 5*x)) - (8*Log[1 - 2*x])/9317 - (27*Log[2 + 3*x])/7 + (5135*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{72}"
1526,1,64,0,0.0294487,"\int \frac{1}{(1-2 x) (2+3 x)^2 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^2*(3 + 5*x)^3),x]","\frac{27}{7 (3 x+2)}+\frac{1600}{121 (5 x+3)}-\frac{25}{22 (5 x+3)^2}-\frac{16 \log (1-2 x)}{65219}-\frac{2889}{49} \log (3 x+2)+\frac{78475 \log (5 x+3)}{1331}","\frac{27}{7 (3 x+2)}+\frac{1600}{121 (5 x+3)}-\frac{25}{22 (5 x+3)^2}-\frac{16 \log (1-2 x)}{65219}-\frac{2889}{49} \log (3 x+2)+\frac{78475 \log (5 x+3)}{1331}",1,"27/(7*(2 + 3*x)) - 25/(22*(3 + 5*x)^2) + 1600/(121*(3 + 5*x)) - (16*Log[1 - 2*x])/65219 - (2889*Log[2 + 3*x])/49 + (78475*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{88}"
1527,1,75,0,0.0348291,"\int \frac{1}{(1-2 x) (2+3 x)^3 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^3*(3 + 5*x)^3),x]","\frac{2889}{49 (3 x+2)}+\frac{12125}{121 (5 x+3)}+\frac{27}{14 (3 x+2)^2}-\frac{125}{22 (5 x+3)^2}-\frac{32 \log (1-2 x)}{456533}-\frac{204228}{343} \log (3 x+2)+\frac{792500 \log (5 x+3)}{1331}","\frac{2889}{49 (3 x+2)}+\frac{12125}{121 (5 x+3)}+\frac{27}{14 (3 x+2)^2}-\frac{125}{22 (5 x+3)^2}-\frac{32 \log (1-2 x)}{456533}-\frac{204228}{343} \log (3 x+2)+\frac{792500 \log (5 x+3)}{1331}",1,"27/(14*(2 + 3*x)^2) + 2889/(49*(2 + 3*x)) - 125/(22*(3 + 5*x)^2) + 12125/(121*(3 + 5*x)) - (32*Log[1 - 2*x])/456533 - (204228*Log[2 + 3*x])/343 + (792500*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{88}"
1528,1,86,0,0.0434438,"\int \frac{1}{(1-2 x) (2+3 x)^4 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^4*(3 + 5*x)^3),x]","\frac{204228}{343 (3 x+2)}+\frac{81250}{121 (5 x+3)}+\frac{2889}{98 (3 x+2)^2}-\frac{625}{22 (5 x+3)^2}+\frac{9}{7 (3 x+2)^3}-\frac{64 \log (1-2 x)}{3195731}-\frac{11984706 \log (3 x+2)}{2401}+\frac{6643750 \log (5 x+3)}{1331}","\frac{204228}{343 (3 x+2)}+\frac{81250}{121 (5 x+3)}+\frac{2889}{98 (3 x+2)^2}-\frac{625}{22 (5 x+3)^2}+\frac{9}{7 (3 x+2)^3}-\frac{64 \log (1-2 x)}{3195731}-\frac{11984706 \log (3 x+2)}{2401}+\frac{6643750 \log (5 x+3)}{1331}",1,"9/(7*(2 + 3*x)^3) + 2889/(98*(2 + 3*x)^2) + 204228/(343*(2 + 3*x)) - 625/(22*(3 + 5*x)^2) + 81250/(121*(3 + 5*x)) - (64*Log[1 - 2*x])/3195731 - (11984706*Log[2 + 3*x])/2401 + (6643750*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{88}"
1529,1,97,0,0.0508522,"\int \frac{1}{(1-2 x) (2+3 x)^5 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)*(2 + 3*x)^5*(3 + 5*x)^3),x]","\frac{11984706}{2401 (3 x+2)}+\frac{509375}{121 (5 x+3)}+\frac{102114}{343 (3 x+2)^2}-\frac{3125}{22 (5 x+3)^2}+\frac{963}{49 (3 x+2)^3}+\frac{27}{28 (3 x+2)^4}-\frac{128 \log (1-2 x)}{22370117}-\frac{631722537 \log (3 x+2)}{16807}+\frac{50028125 \log (5 x+3)}{1331}","\frac{11984706}{2401 (3 x+2)}+\frac{509375}{121 (5 x+3)}+\frac{102114}{343 (3 x+2)^2}-\frac{3125}{22 (5 x+3)^2}+\frac{963}{49 (3 x+2)^3}+\frac{27}{28 (3 x+2)^4}-\frac{128 \log (1-2 x)}{22370117}-\frac{631722537 \log (3 x+2)}{16807}+\frac{50028125 \log (5 x+3)}{1331}",1,"27/(28*(2 + 3*x)^4) + 963/(49*(2 + 3*x)^3) + 102114/(343*(2 + 3*x)^2) + 11984706/(2401*(2 + 3*x)) - 3125/(22*(3 + 5*x)^2) + 509375/(121*(3 + 5*x)) - (128*Log[1 - 2*x])/22370117 - (631722537*Log[2 + 3*x])/16807 + (50028125*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{88}"
1530,1,103,0,0.1012088,"\int \frac{(c+d x)^4}{(a-b x) (a+b x)} \, dx","Int[(c + d*x)^4/((a - b*x)*(a + b*x)),x]","-\frac{d^2 x \left(a^2 d^2+6 b^2 c^2\right)}{b^4}-\frac{(a d+b c)^4 \log (a-b x)}{2 a b^5}+\frac{(b c-a d)^4 \log (a+b x)}{2 a b^5}-\frac{2 c d^3 x^2}{b^2}-\frac{d^4 x^3}{3 b^2}","-\frac{d^2 x \left(a^2 d^2+6 b^2 c^2\right)}{b^4}-\frac{(a d+b c)^4 \log (a-b x)}{2 a b^5}+\frac{(b c-a d)^4 \log (a+b x)}{2 a b^5}-\frac{2 c d^3 x^2}{b^2}-\frac{d^4 x^3}{3 b^2}",1,"-((d^2*(6*b^2*c^2 + a^2*d^2)*x)/b^4) - (2*c*d^3*x^2)/b^2 - (d^4*x^3)/(3*b^2) - ((b*c + a*d)^4*Log[a - b*x])/(2*a*b^5) + ((b*c - a*d)^4*Log[a + b*x])/(2*a*b^5)","A",2,1,23,0.04348,1,"{72}"
1531,1,76,0,0.0622332,"\int \frac{(c+d x)^3}{(a-b x) (a+b x)} \, dx","Int[(c + d*x)^3/((a - b*x)*(a + b*x)),x]","-\frac{(a d+b c)^3 \log (a-b x)}{2 a b^4}+\frac{(b c-a d)^3 \log (a+b x)}{2 a b^4}-\frac{3 c d^2 x}{b^2}-\frac{d^3 x^2}{2 b^2}","-\frac{(a d+b c)^3 \log (a-b x)}{2 a b^4}+\frac{(b c-a d)^3 \log (a+b x)}{2 a b^4}-\frac{3 c d^2 x}{b^2}-\frac{d^3 x^2}{2 b^2}",1,"(-3*c*d^2*x)/b^2 - (d^3*x^2)/(2*b^2) - ((b*c + a*d)^3*Log[a - b*x])/(2*a*b^4) + ((b*c - a*d)^3*Log[a + b*x])/(2*a*b^4)","A",2,1,23,0.04348,1,"{72}"
1532,1,62,0,0.0455141,"\int \frac{(c+d x)^2}{(a-b x) (a+b x)} \, dx","Int[(c + d*x)^2/((a - b*x)*(a + b*x)),x]","-\frac{(a d+b c)^2 \log (a-b x)}{2 a b^3}+\frac{(b c-a d)^2 \log (a+b x)}{2 a b^3}-\frac{d^2 x}{b^2}","-\frac{(a d+b c)^2 \log (a-b x)}{2 a b^3}+\frac{(b c-a d)^2 \log (a+b x)}{2 a b^3}-\frac{d^2 x}{b^2}",1,"-((d^2*x)/b^2) - ((b*c + a*d)^2*Log[a - b*x])/(2*a*b^3) + ((b*c - a*d)^2*Log[a + b*x])/(2*a*b^3)","A",2,1,23,0.04348,1,"{72}"
1533,1,49,0,0.0367234,"\int \frac{c+d x}{(a-b x) (a+b x)} \, dx","Int[(c + d*x)/((a - b*x)*(a + b*x)),x]","\frac{(b c-a d) \log (a+b x)}{2 a b^2}-\frac{(a d+b c) \log (a-b x)}{2 a b^2}","\frac{(b c-a d) \log (a+b x)}{2 a b^2}-\frac{(a d+b c) \log (a-b x)}{2 a b^2}",1,"-((b*c + a*d)*Log[a - b*x])/(2*a*b^2) + ((b*c - a*d)*Log[a + b*x])/(2*a*b^2)","A",2,1,21,0.04762,1,"{72}"
1534,1,14,0,0.0080893,"\int \frac{1}{(a-b x) (a+b x)} \, dx","Int[1/((a - b*x)*(a + b*x)),x]","\frac{\tanh ^{-1}\left(\frac{b x}{a}\right)}{a b}","\frac{\tanh ^{-1}\left(\frac{b x}{a}\right)}{a b}",1,"ArcTanh[(b*x)/a]/(a*b)","A",2,2,16,0.1250,1,"{35, 208}"
1535,1,74,0,0.0582971,"\int \frac{1}{(a-b x) (a+b x) (c+d x)} \, dx","Int[1/((a - b*x)*(a + b*x)*(c + d*x)),x]","-\frac{d \log (c+d x)}{b^2 c^2-a^2 d^2}-\frac{\log (a-b x)}{2 a (a d+b c)}+\frac{\log (a+b x)}{2 a (b c-a d)}","-\frac{d \log (c+d x)}{b^2 c^2-a^2 d^2}-\frac{\log (a-b x)}{2 a (a d+b c)}+\frac{\log (a+b x)}{2 a (b c-a d)}",1,"-Log[a - b*x]/(2*a*(b*c + a*d)) + Log[a + b*x]/(2*a*(b*c - a*d)) - (d*Log[c + d*x])/(b^2*c^2 - a^2*d^2)","A",2,1,23,0.04348,1,"{72}"
1536,1,107,0,0.0910598,"\int \frac{1}{(a-b x) (a+b x) (c+d x)^2} \, dx","Int[1/((a - b*x)*(a + b*x)*(c + d*x)^2),x]","\frac{d}{(c+d x) \left(b^2 c^2-a^2 d^2\right)}-\frac{2 b^2 c d \log (c+d x)}{\left(b^2 c^2-a^2 d^2\right)^2}-\frac{b \log (a-b x)}{2 a (a d+b c)^2}+\frac{b \log (a+b x)}{2 a (b c-a d)^2}","\frac{d}{(c+d x) \left(b^2 c^2-a^2 d^2\right)}-\frac{2 b^2 c d \log (c+d x)}{\left(b^2 c^2-a^2 d^2\right)^2}-\frac{b \log (a-b x)}{2 a (a d+b c)^2}+\frac{b \log (a+b x)}{2 a (b c-a d)^2}",1,"d/((b^2*c^2 - a^2*d^2)*(c + d*x)) - (b*Log[a - b*x])/(2*a*(b*c + a*d)^2) + (b*Log[a + b*x])/(2*a*(b*c - a*d)^2) - (2*b^2*c*d*Log[c + d*x])/(b^2*c^2 - a^2*d^2)^2","A",2,1,23,0.04348,1,"{72}"
1537,1,161,0,0.1525639,"\int \frac{1}{(a-b x) (a+b x) (c+d x)^3} \, dx","Int[1/((a - b*x)*(a + b*x)*(c + d*x)^3),x]","\frac{2 b^2 c d}{(c+d x) \left(b^2 c^2-a^2 d^2\right)^2}+\frac{d}{2 (c+d x)^2 \left(b^2 c^2-a^2 d^2\right)}-\frac{b^2 d \left(a^2 d^2+3 b^2 c^2\right) \log (c+d x)}{\left(b^2 c^2-a^2 d^2\right)^3}-\frac{b^2 \log (a-b x)}{2 a (a d+b c)^3}+\frac{b^2 \log (a+b x)}{2 a (b c-a d)^3}","\frac{2 b^2 c d}{(c+d x) \left(b^2 c^2-a^2 d^2\right)^2}+\frac{d}{2 (c+d x)^2 \left(b^2 c^2-a^2 d^2\right)}-\frac{b^2 d \left(a^2 d^2+3 b^2 c^2\right) \log (c+d x)}{\left(b^2 c^2-a^2 d^2\right)^3}-\frac{b^2 \log (a-b x)}{2 a (a d+b c)^3}+\frac{b^2 \log (a+b x)}{2 a (b c-a d)^3}",1,"d/(2*(b^2*c^2 - a^2*d^2)*(c + d*x)^2) + (2*b^2*c*d)/((b^2*c^2 - a^2*d^2)^2*(c + d*x)) - (b^2*Log[a - b*x])/(2*a*(b*c + a*d)^3) + (b^2*Log[a + b*x])/(2*a*(b*c - a*d)^3) - (b^2*d*(3*b^2*c^2 + a^2*d^2)*Log[c + d*x])/(b^2*c^2 - a^2*d^2)^3","A",2,1,23,0.04348,1,"{72}"
1538,1,76,0,0.043256,"\int \frac{(2+3 x)^8 (3+5 x)}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^8*(3 + 5*x))/(1 - 2*x)^2,x]","\frac{32805 x^8}{32}+\frac{56862 x^7}{7}+\frac{976617 x^6}{32}+\frac{5859459 x^5}{80}+\frac{32991057 x^4}{256}+\frac{5892813 x^3}{32}+\frac{122887143 x^2}{512}+\frac{91609881 x}{256}+\frac{63412811}{1024 (1-2 x)}+\frac{246239357 \log (1-2 x)}{1024}","\frac{32805 x^8}{32}+\frac{56862 x^7}{7}+\frac{976617 x^6}{32}+\frac{5859459 x^5}{80}+\frac{32991057 x^4}{256}+\frac{5892813 x^3}{32}+\frac{122887143 x^2}{512}+\frac{91609881 x}{256}+\frac{63412811}{1024 (1-2 x)}+\frac{246239357 \log (1-2 x)}{1024}",1,"63412811/(1024*(1 - 2*x)) + (91609881*x)/256 + (122887143*x^2)/512 + (5892813*x^3)/32 + (32991057*x^4)/256 + (5859459*x^5)/80 + (976617*x^6)/32 + (56862*x^7)/7 + (32805*x^8)/32 + (246239357*Log[1 - 2*x])/1024","A",2,1,20,0.05000,1,"{77}"
1539,1,69,0,0.0366485,"\int \frac{(2+3 x)^7 (3+5 x)}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^7*(3 + 5*x))/(1 - 2*x)^2,x]","\frac{10935 x^7}{28}+\frac{11421 x^6}{4}+\frac{793881 x^5}{80}+\frac{1423899 x^4}{64}+\frac{2399985 x^3}{64}+\frac{873207 x^2}{16}+\frac{22333965 x}{256}+\frac{9058973}{512 (1-2 x)}+\frac{15647317}{256} \log (1-2 x)","\frac{10935 x^7}{28}+\frac{11421 x^6}{4}+\frac{793881 x^5}{80}+\frac{1423899 x^4}{64}+\frac{2399985 x^3}{64}+\frac{873207 x^2}{16}+\frac{22333965 x}{256}+\frac{9058973}{512 (1-2 x)}+\frac{15647317}{256} \log (1-2 x)",1,"9058973/(512*(1 - 2*x)) + (22333965*x)/256 + (873207*x^2)/16 + (2399985*x^3)/64 + (1423899*x^4)/64 + (793881*x^5)/80 + (11421*x^6)/4 + (10935*x^7)/28 + (15647317*Log[1 - 2*x])/256","A",2,1,20,0.05000,1,"{77}"
1540,1,62,0,0.0323069,"\int \frac{(2+3 x)^6 (3+5 x)}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^6*(3 + 5*x))/(1 - 2*x)^2,x]","\frac{1215 x^6}{8}+\frac{5103 x^5}{5}+\frac{210195 x^4}{64}+\frac{111501 x^3}{16}+\frac{1507977 x^2}{128}+\frac{661617 x}{32}+\frac{1294139}{256 (1-2 x)}+\frac{3916031}{256} \log (1-2 x)","\frac{1215 x^6}{8}+\frac{5103 x^5}{5}+\frac{210195 x^4}{64}+\frac{111501 x^3}{16}+\frac{1507977 x^2}{128}+\frac{661617 x}{32}+\frac{1294139}{256 (1-2 x)}+\frac{3916031}{256} \log (1-2 x)",1,"1294139/(256*(1 - 2*x)) + (661617*x)/32 + (1507977*x^2)/128 + (111501*x^3)/16 + (210195*x^4)/64 + (5103*x^5)/5 + (1215*x^6)/8 + (3916031*Log[1 - 2*x])/256","A",2,1,20,0.05000,1,"{77}"
1541,1,55,0,0.027146,"\int \frac{(2+3 x)^5 (3+5 x)}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^5*(3 + 5*x))/(1 - 2*x)^2,x]","\frac{243 x^5}{4}+\frac{2997 x^4}{8}+\frac{18027 x^3}{16}+\frac{75447 x^2}{32}+\frac{301467 x}{64}+\frac{184877}{128 (1-2 x)}+\frac{60025}{16} \log (1-2 x)","\frac{243 x^5}{4}+\frac{2997 x^4}{8}+\frac{18027 x^3}{16}+\frac{75447 x^2}{32}+\frac{301467 x}{64}+\frac{184877}{128 (1-2 x)}+\frac{60025}{16} \log (1-2 x)",1,"184877/(128*(1 - 2*x)) + (301467*x)/64 + (75447*x^2)/32 + (18027*x^3)/16 + (2997*x^4)/8 + (243*x^5)/4 + (60025*Log[1 - 2*x])/16","A",2,1,20,0.05000,1,"{77}"
1542,1,46,0,0.0230955,"\int \frac{(2+3 x)^4 (3+5 x)}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^4*(3 + 5*x))/(1 - 2*x)^2,x]","\frac{405 x^4}{16}+144 x^3+\frac{13419 x^2}{32}+\frac{16203 x}{16}+\frac{26411}{64 (1-2 x)}+\frac{57281}{64} \log (1-2 x)","\frac{405 x^4}{16}+144 x^3+\frac{13419 x^2}{32}+\frac{16203 x}{16}+\frac{26411}{64 (1-2 x)}+\frac{57281}{64} \log (1-2 x)",1,"26411/(64*(1 - 2*x)) + (16203*x)/16 + (13419*x^2)/32 + 144*x^3 + (405*x^4)/16 + (57281*Log[1 - 2*x])/64","A",2,1,20,0.05000,1,"{77}"
1543,1,41,0,0.0192997,"\int \frac{(2+3 x)^3 (3+5 x)}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^3*(3 + 5*x))/(1 - 2*x)^2,x]","\frac{45 x^3}{4}+\frac{243 x^2}{4}+\frac{3177 x}{16}+\frac{3773}{32 (1-2 x)}+\frac{3283}{16} \log (1-2 x)","\frac{45 x^3}{4}+\frac{243 x^2}{4}+\frac{3177 x}{16}+\frac{3773}{32 (1-2 x)}+\frac{3283}{16} \log (1-2 x)",1,"3773/(32*(1 - 2*x)) + (3177*x)/16 + (243*x^2)/4 + (45*x^3)/4 + (3283*Log[1 - 2*x])/16","A",2,1,20,0.05000,1,"{77}"
1544,1,32,0,0.0163089,"\int \frac{(2+3 x)^2 (3+5 x)}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^2*(3 + 5*x))/(1 - 2*x)^2,x]","\frac{45 x^2}{8}+33 x+\frac{539}{16 (1-2 x)}+\frac{707}{16} \log (1-2 x)","\frac{45 x^2}{8}+33 x+\frac{539}{16 (1-2 x)}+\frac{707}{16} \log (1-2 x)",1,"539/(16*(1 - 2*x)) + 33*x + (45*x^2)/8 + (707*Log[1 - 2*x])/16","A",2,1,20,0.05000,1,"{77}"
1545,1,27,0,0.0118792,"\int \frac{(2+3 x) (3+5 x)}{(1-2 x)^2} \, dx","Int[((2 + 3*x)*(3 + 5*x))/(1 - 2*x)^2,x]","\frac{15 x}{4}+\frac{77}{8 (1-2 x)}+\frac{17}{2} \log (1-2 x)","\frac{15 x}{4}+\frac{77}{8 (1-2 x)}+\frac{17}{2} \log (1-2 x)",1,"77/(8*(1 - 2*x)) + (15*x)/4 + (17*Log[1 - 2*x])/2","A",2,1,18,0.05556,1,"{77}"
1546,1,22,0,0.0086518,"\int \frac{3+5 x}{(1-2 x)^2} \, dx","Int[(3 + 5*x)/(1 - 2*x)^2,x]","\frac{11}{4 (1-2 x)}+\frac{5}{4} \log (1-2 x)","\frac{11}{4 (1-2 x)}+\frac{5}{4} \log (1-2 x)",1,"11/(4*(1 - 2*x)) + (5*Log[1 - 2*x])/4","A",2,1,13,0.07692,1,"{43}"
1547,1,32,0,0.014893,"\int \frac{3+5 x}{(1-2 x)^2 (2+3 x)} \, dx","Int[(3 + 5*x)/((1 - 2*x)^2*(2 + 3*x)),x]","\frac{11}{14 (1-2 x)}+\frac{1}{49} \log (1-2 x)-\frac{1}{49} \log (3 x+2)","\frac{11}{14 (1-2 x)}+\frac{1}{49} \log (1-2 x)-\frac{1}{49} \log (3 x+2)",1,"11/(14*(1 - 2*x)) + Log[1 - 2*x]/49 - Log[2 + 3*x]/49","A",2,1,20,0.05000,1,"{77}"
1548,1,43,0,0.0187948,"\int \frac{3+5 x}{(1-2 x)^2 (2+3 x)^2} \, dx","Int[(3 + 5*x)/((1 - 2*x)^2*(2 + 3*x)^2),x]","\frac{11}{49 (1-2 x)}+\frac{1}{49 (3 x+2)}-\frac{31}{343} \log (1-2 x)+\frac{31}{343} \log (3 x+2)","\frac{11}{49 (1-2 x)}+\frac{1}{49 (3 x+2)}-\frac{31}{343} \log (1-2 x)+\frac{31}{343} \log (3 x+2)",1,"11/(49*(1 - 2*x)) + 1/(49*(2 + 3*x)) - (31*Log[1 - 2*x])/343 + (31*Log[2 + 3*x])/343","A",2,1,20,0.05000,1,"{77}"
1549,1,54,0,0.0239423,"\int \frac{3+5 x}{(1-2 x)^2 (2+3 x)^3} \, dx","Int[(3 + 5*x)/((1 - 2*x)^2*(2 + 3*x)^3),x]","\frac{22}{343 (1-2 x)}-\frac{31}{343 (3 x+2)}+\frac{1}{98 (3 x+2)^2}-\frac{128 \log (1-2 x)}{2401}+\frac{128 \log (3 x+2)}{2401}","\frac{22}{343 (1-2 x)}-\frac{31}{343 (3 x+2)}+\frac{1}{98 (3 x+2)^2}-\frac{128 \log (1-2 x)}{2401}+\frac{128 \log (3 x+2)}{2401}",1,"22/(343*(1 - 2*x)) + 1/(98*(2 + 3*x)^2) - 31/(343*(2 + 3*x)) - (128*Log[1 - 2*x])/2401 + (128*Log[2 + 3*x])/2401","A",2,1,20,0.05000,1,"{77}"
1550,1,65,0,0.0306685,"\int \frac{3+5 x}{(1-2 x)^2 (2+3 x)^4} \, dx","Int[(3 + 5*x)/((1 - 2*x)^2*(2 + 3*x)^4),x]","\frac{44}{2401 (1-2 x)}-\frac{128}{2401 (3 x+2)}-\frac{31}{686 (3 x+2)^2}+\frac{1}{147 (3 x+2)^3}-\frac{388 \log (1-2 x)}{16807}+\frac{388 \log (3 x+2)}{16807}","\frac{44}{2401 (1-2 x)}-\frac{128}{2401 (3 x+2)}-\frac{31}{686 (3 x+2)^2}+\frac{1}{147 (3 x+2)^3}-\frac{388 \log (1-2 x)}{16807}+\frac{388 \log (3 x+2)}{16807}",1,"44/(2401*(1 - 2*x)) + 1/(147*(2 + 3*x)^3) - 31/(686*(2 + 3*x)^2) - 128/(2401*(2 + 3*x)) - (388*Log[1 - 2*x])/16807 + (388*Log[2 + 3*x])/16807","A",2,1,20,0.05000,1,"{77}"
1551,1,76,0,0.0368517,"\int \frac{3+5 x}{(1-2 x)^2 (2+3 x)^5} \, dx","Int[(3 + 5*x)/((1 - 2*x)^2*(2 + 3*x)^5),x]","\frac{88}{16807 (1-2 x)}-\frac{388}{16807 (3 x+2)}-\frac{64}{2401 (3 x+2)^2}-\frac{31}{1029 (3 x+2)^3}+\frac{1}{196 (3 x+2)^4}-\frac{1040 \log (1-2 x)}{117649}+\frac{1040 \log (3 x+2)}{117649}","\frac{88}{16807 (1-2 x)}-\frac{388}{16807 (3 x+2)}-\frac{64}{2401 (3 x+2)^2}-\frac{31}{1029 (3 x+2)^3}+\frac{1}{196 (3 x+2)^4}-\frac{1040 \log (1-2 x)}{117649}+\frac{1040 \log (3 x+2)}{117649}",1,"88/(16807*(1 - 2*x)) + 1/(196*(2 + 3*x)^4) - 31/(1029*(2 + 3*x)^3) - 64/(2401*(2 + 3*x)^2) - 388/(16807*(2 + 3*x)) - (1040*Log[1 - 2*x])/117649 + (1040*Log[2 + 3*x])/117649","A",2,1,20,0.05000,1,"{77}"
1552,1,87,0,0.043672,"\int \frac{3+5 x}{(1-2 x)^2 (2+3 x)^6} \, dx","Int[(3 + 5*x)/((1 - 2*x)^2*(2 + 3*x)^6),x]","\frac{176}{117649 (1-2 x)}-\frac{1040}{117649 (3 x+2)}-\frac{194}{16807 (3 x+2)^2}-\frac{128}{7203 (3 x+2)^3}-\frac{31}{1372 (3 x+2)^4}+\frac{1}{245 (3 x+2)^5}-\frac{2608 \log (1-2 x)}{823543}+\frac{2608 \log (3 x+2)}{823543}","\frac{176}{117649 (1-2 x)}-\frac{1040}{117649 (3 x+2)}-\frac{194}{16807 (3 x+2)^2}-\frac{128}{7203 (3 x+2)^3}-\frac{31}{1372 (3 x+2)^4}+\frac{1}{245 (3 x+2)^5}-\frac{2608 \log (1-2 x)}{823543}+\frac{2608 \log (3 x+2)}{823543}",1,"176/(117649*(1 - 2*x)) + 1/(245*(2 + 3*x)^5) - 31/(1372*(2 + 3*x)^4) - 128/(7203*(2 + 3*x)^3) - 194/(16807*(2 + 3*x)^2) - 1040/(117649*(2 + 3*x)) - (2608*Log[1 - 2*x])/823543 + (2608*Log[2 + 3*x])/823543","A",2,1,20,0.05000,1,"{77}"
1553,1,98,0,0.0531247,"\int \frac{3+5 x}{(1-2 x)^2 (2+3 x)^7} \, dx","Int[(3 + 5*x)/((1 - 2*x)^2*(2 + 3*x)^7),x]","\frac{352}{823543 (1-2 x)}-\frac{2608}{823543 (3 x+2)}-\frac{520}{117649 (3 x+2)^2}-\frac{388}{50421 (3 x+2)^3}-\frac{32}{2401 (3 x+2)^4}-\frac{31}{1715 (3 x+2)^5}+\frac{1}{294 (3 x+2)^6}-\frac{128 \log (1-2 x)}{117649}+\frac{128 \log (3 x+2)}{117649}","\frac{352}{823543 (1-2 x)}-\frac{2608}{823543 (3 x+2)}-\frac{520}{117649 (3 x+2)^2}-\frac{388}{50421 (3 x+2)^3}-\frac{32}{2401 (3 x+2)^4}-\frac{31}{1715 (3 x+2)^5}+\frac{1}{294 (3 x+2)^6}-\frac{128 \log (1-2 x)}{117649}+\frac{128 \log (3 x+2)}{117649}",1,"352/(823543*(1 - 2*x)) + 1/(294*(2 + 3*x)^6) - 31/(1715*(2 + 3*x)^5) - 32/(2401*(2 + 3*x)^4) - 388/(50421*(2 + 3*x)^3) - 520/(117649*(2 + 3*x)^2) - 2608/(823543*(2 + 3*x)) - (128*Log[1 - 2*x])/117649 + (128*Log[2 + 3*x])/117649","A",2,1,20,0.05000,1,"{77}"
1554,1,81,0,0.0457039,"\int \frac{(2+3 x)^8 (3+5 x)^2}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^8*(3 + 5*x)^2)/(1 - 2*x)^2,x]","\frac{18225 x^9}{4}+\frac{1235655 x^8}{32}+\frac{17378631 x^7}{112}+396738 x^6+\frac{235268793 x^5}{320}+\frac{275757561 x^4}{256}+\frac{346239417 x^3}{256}+\frac{413355417 x^2}{256}+\frac{2330515357 x}{1024}+\frac{697540921}{2048 (1-2 x)}+\frac{1512848491 \log (1-2 x)}{1024}","\frac{18225 x^9}{4}+\frac{1235655 x^8}{32}+\frac{17378631 x^7}{112}+396738 x^6+\frac{235268793 x^5}{320}+\frac{275757561 x^4}{256}+\frac{346239417 x^3}{256}+\frac{413355417 x^2}{256}+\frac{2330515357 x}{1024}+\frac{697540921}{2048 (1-2 x)}+\frac{1512848491 \log (1-2 x)}{1024}",1,"697540921/(2048*(1 - 2*x)) + (2330515357*x)/1024 + (413355417*x^2)/256 + (346239417*x^3)/256 + (275757561*x^4)/256 + (235268793*x^5)/320 + 396738*x^6 + (17378631*x^7)/112 + (1235655*x^8)/32 + (18225*x^9)/4 + (1512848491*Log[1 - 2*x])/1024","A",2,1,22,0.04545,1,"{88}"
1555,1,76,0,0.0433517,"\int \frac{(2+3 x)^7 (3+5 x)^2}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^7*(3 + 5*x)^2)/(1 - 2*x)^2,x]","\frac{54675 x^8}{32}+\frac{375435 x^7}{28}+\frac{1597239 x^6}{32}+\frac{4750569 x^5}{40}+\frac{53086563 x^4}{256}+\frac{18842715 x^3}{64}+\frac{195497697 x^2}{512}+\frac{9077405 x}{16}+\frac{99648703}{1024 (1-2 x)}+\frac{389535839 \log (1-2 x)}{1024}","\frac{54675 x^8}{32}+\frac{375435 x^7}{28}+\frac{1597239 x^6}{32}+\frac{4750569 x^5}{40}+\frac{53086563 x^4}{256}+\frac{18842715 x^3}{64}+\frac{195497697 x^2}{512}+\frac{9077405 x}{16}+\frac{99648703}{1024 (1-2 x)}+\frac{389535839 \log (1-2 x)}{1024}",1,"99648703/(1024*(1 - 2*x)) + (9077405*x)/16 + (195497697*x^2)/512 + (18842715*x^3)/64 + (53086563*x^4)/256 + (4750569*x^5)/40 + (1597239*x^6)/32 + (375435*x^7)/28 + (54675*x^8)/32 + (389535839*Log[1 - 2*x])/1024","A",2,1,22,0.04545,1,"{88}"
1556,1,69,0,0.0376166,"\int \frac{(2+3 x)^6 (3+5 x)^2}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^6*(3 + 5*x)^2)/(1 - 2*x)^2,x]","\frac{18225 x^7}{28}+\frac{37665 x^6}{8}+\frac{1295919 x^5}{80}+\frac{575775 x^4}{16}+\frac{3851307 x^3}{64}+\frac{11140101 x^2}{128}+\frac{35458963 x}{256}+\frac{14235529}{512 (1-2 x)}+\frac{12386759}{128} \log (1-2 x)","\frac{18225 x^7}{28}+\frac{37665 x^6}{8}+\frac{1295919 x^5}{80}+\frac{575775 x^4}{16}+\frac{3851307 x^3}{64}+\frac{11140101 x^2}{128}+\frac{35458963 x}{256}+\frac{14235529}{512 (1-2 x)}+\frac{12386759}{128} \log (1-2 x)",1,"14235529/(512*(1 - 2*x)) + (35458963*x)/256 + (11140101*x^2)/128 + (3851307*x^3)/64 + (575775*x^4)/16 + (1295919*x^5)/80 + (37665*x^6)/8 + (18225*x^7)/28 + (12386759*Log[1 - 2*x])/128","A",2,1,22,0.04545,1,"{88}"
1557,1,62,0,0.0332136,"\int \frac{(2+3 x)^5 (3+5 x)^2}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^5*(3 + 5*x)^2)/(1 - 2*x)^2,x]","\frac{2025 x^6}{8}+\frac{6723 x^5}{4}+\frac{342333 x^4}{64}+\frac{89913 x^3}{8}+\frac{2412699 x^2}{128}+\frac{2104901 x}{64}+\frac{2033647}{256 (1-2 x)}+\frac{6206585}{256} \log (1-2 x)","\frac{2025 x^6}{8}+\frac{6723 x^5}{4}+\frac{342333 x^4}{64}+\frac{89913 x^3}{8}+\frac{2412699 x^2}{128}+\frac{2104901 x}{64}+\frac{2033647}{256 (1-2 x)}+\frac{6206585}{256} \log (1-2 x)",1,"2033647/(256*(1 - 2*x)) + (2104901*x)/64 + (2412699*x^2)/128 + (89913*x^3)/8 + (342333*x^4)/64 + (6723*x^5)/4 + (2025*x^6)/8 + (6206585*Log[1 - 2*x])/256","A",2,1,22,0.04545,1,"{88}"
1558,1,55,0,0.0277852,"\int \frac{(2+3 x)^4 (3+5 x)^2}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^2)/(1 - 2*x)^2,x]","\frac{405 x^5}{4}+\frac{9855 x^4}{16}+\frac{29277 x^3}{16}+\frac{15159 x^2}{4}+\frac{480841 x}{64}+\frac{290521}{128 (1-2 x)}+\frac{381073}{64} \log (1-2 x)","\frac{405 x^5}{4}+\frac{9855 x^4}{16}+\frac{29277 x^3}{16}+\frac{15159 x^2}{4}+\frac{480841 x}{64}+\frac{290521}{128 (1-2 x)}+\frac{381073}{64} \log (1-2 x)",1,"290521/(128*(1 - 2*x)) + (480841*x)/64 + (15159*x^2)/4 + (29277*x^3)/16 + (9855*x^4)/16 + (405*x^5)/4 + (381073*Log[1 - 2*x])/64","A",2,1,22,0.04545,1,"{88}"
1559,1,48,0,0.0238557,"\int \frac{(2+3 x)^3 (3+5 x)^2}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^2)/(1 - 2*x)^2,x]","\frac{675 x^4}{16}+\frac{945 x^3}{4}+\frac{21717 x^2}{32}+\frac{12973 x}{8}+\frac{41503}{64 (1-2 x)}+\frac{91091}{64} \log (1-2 x)","\frac{675 x^4}{16}+\frac{945 x^3}{4}+\frac{21717 x^2}{32}+\frac{12973 x}{8}+\frac{41503}{64 (1-2 x)}+\frac{91091}{64} \log (1-2 x)",1,"41503/(64*(1 - 2*x)) + (12973*x)/8 + (21717*x^2)/32 + (945*x^3)/4 + (675*x^4)/16 + (91091*Log[1 - 2*x])/64","A",2,1,22,0.04545,1,"{88}"
1560,1,41,0,0.0195414,"\int \frac{(2+3 x)^2 (3+5 x)^2}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^2)/(1 - 2*x)^2,x]","\frac{75 x^3}{4}+\frac{795 x^2}{8}+\frac{5119 x}{16}+\frac{5929}{32 (1-2 x)}+\frac{1309}{4} \log (1-2 x)","\frac{75 x^3}{4}+\frac{795 x^2}{8}+\frac{5119 x}{16}+\frac{5929}{32 (1-2 x)}+\frac{1309}{4} \log (1-2 x)",1,"5929/(32*(1 - 2*x)) + (5119*x)/16 + (795*x^2)/8 + (75*x^3)/4 + (1309*Log[1 - 2*x])/4","A",2,1,22,0.04545,1,"{88}"
1561,1,34,0,0.0155181,"\int \frac{(2+3 x) (3+5 x)^2}{(1-2 x)^2} \, dx","Int[((2 + 3*x)*(3 + 5*x)^2)/(1 - 2*x)^2,x]","\frac{75 x^2}{8}+\frac{215 x}{4}+\frac{847}{16 (1-2 x)}+\frac{1133}{16} \log (1-2 x)","\frac{75 x^2}{8}+\frac{215 x}{4}+\frac{847}{16 (1-2 x)}+\frac{1133}{16} \log (1-2 x)",1,"847/(16*(1 - 2*x)) + (215*x)/4 + (75*x^2)/8 + (1133*Log[1 - 2*x])/16","A",2,1,20,0.05000,1,"{77}"
1562,1,27,0,0.0112766,"\int \frac{(3+5 x)^2}{(1-2 x)^2} \, dx","Int[(3 + 5*x)^2/(1 - 2*x)^2,x]","\frac{25 x}{4}+\frac{121}{8 (1-2 x)}+\frac{55}{4} \log (1-2 x)","\frac{25 x}{4}+\frac{121}{8 (1-2 x)}+\frac{55}{4} \log (1-2 x)",1,"121/(8*(1 - 2*x)) + (25*x)/4 + (55*Log[1 - 2*x])/4","A",2,1,15,0.06667,1,"{43}"
1563,1,32,0,0.0141535,"\int \frac{(3+5 x)^2}{(1-2 x)^2 (2+3 x)} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^2*(2 + 3*x)),x]","\frac{121}{28 (1-2 x)}+\frac{407}{196} \log (1-2 x)+\frac{1}{147} \log (3 x+2)","\frac{121}{28 (1-2 x)}+\frac{407}{196} \log (1-2 x)+\frac{1}{147} \log (3 x+2)",1,"121/(28*(1 - 2*x)) + (407*Log[1 - 2*x])/196 + Log[2 + 3*x]/147","A",2,1,22,0.04545,1,"{88}"
1564,1,43,0,0.0178059,"\int \frac{(3+5 x)^2}{(1-2 x)^2 (2+3 x)^2} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^2*(2 + 3*x)^2),x]","\frac{121}{98 (1-2 x)}-\frac{1}{147 (3 x+2)}+\frac{22}{343} \log (1-2 x)-\frac{22}{343} \log (3 x+2)","\frac{121}{98 (1-2 x)}-\frac{1}{147 (3 x+2)}+\frac{22}{343} \log (1-2 x)-\frac{22}{343} \log (3 x+2)",1,"121/(98*(1 - 2*x)) - 1/(147*(2 + 3*x)) + (22*Log[1 - 2*x])/343 - (22*Log[2 + 3*x])/343","A",2,1,22,0.04545,1,"{88}"
1565,1,54,0,0.0248051,"\int \frac{(3+5 x)^2}{(1-2 x)^2 (2+3 x)^3} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^2*(2 + 3*x)^3),x]","\frac{121}{343 (1-2 x)}+\frac{22}{343 (3 x+2)}-\frac{1}{294 (3 x+2)^2}-\frac{319 \log (1-2 x)}{2401}+\frac{319 \log (3 x+2)}{2401}","\frac{121}{343 (1-2 x)}+\frac{22}{343 (3 x+2)}-\frac{1}{294 (3 x+2)^2}-\frac{319 \log (1-2 x)}{2401}+\frac{319 \log (3 x+2)}{2401}",1,"121/(343*(1 - 2*x)) - 1/(294*(2 + 3*x)^2) + 22/(343*(2 + 3*x)) - (319*Log[1 - 2*x])/2401 + (319*Log[2 + 3*x])/2401","A",2,1,22,0.04545,1,"{88}"
1566,1,65,0,0.0295785,"\int \frac{(3+5 x)^2}{(1-2 x)^2 (2+3 x)^4} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^2*(2 + 3*x)^4),x]","\frac{242}{2401 (1-2 x)}-\frac{319}{2401 (3 x+2)}+\frac{11}{343 (3 x+2)^2}-\frac{1}{441 (3 x+2)^3}-\frac{1364 \log (1-2 x)}{16807}+\frac{1364 \log (3 x+2)}{16807}","\frac{242}{2401 (1-2 x)}-\frac{319}{2401 (3 x+2)}+\frac{11}{343 (3 x+2)^2}-\frac{1}{441 (3 x+2)^3}-\frac{1364 \log (1-2 x)}{16807}+\frac{1364 \log (3 x+2)}{16807}",1,"242/(2401*(1 - 2*x)) - 1/(441*(2 + 3*x)^3) + 11/(343*(2 + 3*x)^2) - 319/(2401*(2 + 3*x)) - (1364*Log[1 - 2*x])/16807 + (1364*Log[2 + 3*x])/16807","A",2,1,22,0.04545,1,"{88}"
1567,1,76,0,0.0363819,"\int \frac{(3+5 x)^2}{(1-2 x)^2 (2+3 x)^5} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^2*(2 + 3*x)^5),x]","\frac{484}{16807 (1-2 x)}-\frac{1364}{16807 (3 x+2)}-\frac{319}{4802 (3 x+2)^2}+\frac{22}{1029 (3 x+2)^3}-\frac{1}{588 (3 x+2)^4}-\frac{4180 \log (1-2 x)}{117649}+\frac{4180 \log (3 x+2)}{117649}","\frac{484}{16807 (1-2 x)}-\frac{1364}{16807 (3 x+2)}-\frac{319}{4802 (3 x+2)^2}+\frac{22}{1029 (3 x+2)^3}-\frac{1}{588 (3 x+2)^4}-\frac{4180 \log (1-2 x)}{117649}+\frac{4180 \log (3 x+2)}{117649}",1,"484/(16807*(1 - 2*x)) - 1/(588*(2 + 3*x)^4) + 22/(1029*(2 + 3*x)^3) - 319/(4802*(2 + 3*x)^2) - 1364/(16807*(2 + 3*x)) - (4180*Log[1 - 2*x])/117649 + (4180*Log[2 + 3*x])/117649","A",2,1,22,0.04545,1,"{88}"
1568,1,87,0,0.0418089,"\int \frac{(3+5 x)^2}{(1-2 x)^2 (2+3 x)^6} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^2*(2 + 3*x)^6),x]","\frac{968}{117649 (1-2 x)}-\frac{4180}{117649 (3 x+2)}-\frac{682}{16807 (3 x+2)^2}-\frac{319}{7203 (3 x+2)^3}+\frac{11}{686 (3 x+2)^4}-\frac{1}{735 (3 x+2)^5}-\frac{11264 \log (1-2 x)}{823543}+\frac{11264 \log (3 x+2)}{823543}","\frac{968}{117649 (1-2 x)}-\frac{4180}{117649 (3 x+2)}-\frac{682}{16807 (3 x+2)^2}-\frac{319}{7203 (3 x+2)^3}+\frac{11}{686 (3 x+2)^4}-\frac{1}{735 (3 x+2)^5}-\frac{11264 \log (1-2 x)}{823543}+\frac{11264 \log (3 x+2)}{823543}",1,"968/(117649*(1 - 2*x)) - 1/(735*(2 + 3*x)^5) + 11/(686*(2 + 3*x)^4) - 319/(7203*(2 + 3*x)^3) - 682/(16807*(2 + 3*x)^2) - 4180/(117649*(2 + 3*x)) - (11264*Log[1 - 2*x])/823543 + (11264*Log[2 + 3*x])/823543","A",2,1,22,0.04545,1,"{88}"
1569,1,98,0,0.0488627,"\int \frac{(3+5 x)^2}{(1-2 x)^2 (2+3 x)^7} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^2*(2 + 3*x)^7),x]","\frac{1936}{823543 (1-2 x)}-\frac{11264}{823543 (3 x+2)}-\frac{2090}{117649 (3 x+2)^2}-\frac{1364}{50421 (3 x+2)^3}-\frac{319}{9604 (3 x+2)^4}+\frac{22}{1715 (3 x+2)^5}-\frac{1}{882 (3 x+2)^6}-\frac{4048 \log (1-2 x)}{823543}+\frac{4048 \log (3 x+2)}{823543}","\frac{1936}{823543 (1-2 x)}-\frac{11264}{823543 (3 x+2)}-\frac{2090}{117649 (3 x+2)^2}-\frac{1364}{50421 (3 x+2)^3}-\frac{319}{9604 (3 x+2)^4}+\frac{22}{1715 (3 x+2)^5}-\frac{1}{882 (3 x+2)^6}-\frac{4048 \log (1-2 x)}{823543}+\frac{4048 \log (3 x+2)}{823543}",1,"1936/(823543*(1 - 2*x)) - 1/(882*(2 + 3*x)^6) + 22/(1715*(2 + 3*x)^5) - 319/(9604*(2 + 3*x)^4) - 1364/(50421*(2 + 3*x)^3) - 2090/(117649*(2 + 3*x)^2) - 11264/(823543*(2 + 3*x)) - (4048*Log[1 - 2*x])/823543 + (4048*Log[2 + 3*x])/823543","A",2,1,22,0.04545,1,"{88}"
1570,1,109,0,0.057644,"\int \frac{(3+5 x)^2}{(1-2 x)^2 (2+3 x)^8} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^2*(2 + 3*x)^8),x]","\frac{3872}{5764801 (1-2 x)}-\frac{4048}{823543 (3 x+2)}-\frac{5632}{823543 (3 x+2)^2}-\frac{4180}{352947 (3 x+2)^3}-\frac{341}{16807 (3 x+2)^4}-\frac{319}{12005 (3 x+2)^5}+\frac{11}{1029 (3 x+2)^6}-\frac{1}{1029 (3 x+2)^7}-\frac{68288 \log (1-2 x)}{40353607}+\frac{68288 \log (3 x+2)}{40353607}","\frac{3872}{5764801 (1-2 x)}-\frac{4048}{823543 (3 x+2)}-\frac{5632}{823543 (3 x+2)^2}-\frac{4180}{352947 (3 x+2)^3}-\frac{341}{16807 (3 x+2)^4}-\frac{319}{12005 (3 x+2)^5}+\frac{11}{1029 (3 x+2)^6}-\frac{1}{1029 (3 x+2)^7}-\frac{68288 \log (1-2 x)}{40353607}+\frac{68288 \log (3 x+2)}{40353607}",1,"3872/(5764801*(1 - 2*x)) - 1/(1029*(2 + 3*x)^7) + 11/(1029*(2 + 3*x)^6) - 319/(12005*(2 + 3*x)^5) - 341/(16807*(2 + 3*x)^4) - 4180/(352947*(2 + 3*x)^3) - 5632/(823543*(2 + 3*x)^2) - 4048/(823543*(2 + 3*x)) - (68288*Log[1 - 2*x])/40353607 + (68288*Log[2 + 3*x])/40353607","A",2,1,22,0.04545,1,"{88}"
1571,1,90,0,0.0513533,"\int \frac{(2+3 x)^8 (3+5 x)^3}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^8*(3 + 5*x)^3)/(1 - 2*x)^2,x]","\frac{164025 x^{10}}{8}+\frac{370575 x^9}{2}+\frac{101721015 x^8}{128}+\frac{242570133 x^7}{112}+\frac{544462047 x^6}{128}+\frac{260574273 x^5}{40}+\frac{8502681987 x^4}{1024}+\frac{2416569641 x^3}{256}+\frac{21573106793 x^2}{2048}+\frac{7277894263 x}{512}+\frac{7672950131}{4096 (1-2 x)}+\frac{36770371407 \log (1-2 x)}{4096}","\frac{164025 x^{10}}{8}+\frac{370575 x^9}{2}+\frac{101721015 x^8}{128}+\frac{242570133 x^7}{112}+\frac{544462047 x^6}{128}+\frac{260574273 x^5}{40}+\frac{8502681987 x^4}{1024}+\frac{2416569641 x^3}{256}+\frac{21573106793 x^2}{2048}+\frac{7277894263 x}{512}+\frac{7672950131}{4096 (1-2 x)}+\frac{36770371407 \log (1-2 x)}{4096}",1,"7672950131/(4096*(1 - 2*x)) + (7277894263*x)/512 + (21573106793*x^2)/2048 + (2416569641*x^3)/256 + (8502681987*x^4)/1024 + (260574273*x^5)/40 + (544462047*x^6)/128 + (242570133*x^7)/112 + (101721015*x^8)/128 + (370575*x^9)/2 + (164025*x^10)/8 + (36770371407*Log[1 - 2*x])/4096","A",2,1,22,0.04545,1,"{88}"
1572,1,83,0,0.046967,"\int \frac{(2+3 x)^7 (3+5 x)^3}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^7*(3 + 5*x)^3)/(1 - 2*x)^2,x]","\frac{30375 x^9}{4}+\frac{127575 x^8}{2}+\frac{28463805 x^7}{112}+\frac{20626947 x^6}{32}+\frac{379446471 x^5}{320}+\frac{220950207 x^4}{128}+\frac{551942075 x^3}{256}+\frac{1312685491 x^2}{512}+\frac{3690540955 x}{1024}+\frac{1096135733}{2048 (1-2 x)}+\frac{298946109}{128} \log (1-2 x)","\frac{30375 x^9}{4}+\frac{127575 x^8}{2}+\frac{28463805 x^7}{112}+\frac{20626947 x^6}{32}+\frac{379446471 x^5}{320}+\frac{220950207 x^4}{128}+\frac{551942075 x^3}{256}+\frac{1312685491 x^2}{512}+\frac{3690540955 x}{1024}+\frac{1096135733}{2048 (1-2 x)}+\frac{298946109}{128} \log (1-2 x)",1,"1096135733/(2048*(1 - 2*x)) + (3690540955*x)/1024 + (1312685491*x^2)/512 + (551942075*x^3)/256 + (220950207*x^4)/128 + (379446471*x^5)/320 + (20626947*x^6)/32 + (28463805*x^7)/112 + (127575*x^8)/2 + (30375*x^9)/4 + (298946109*Log[1 - 2*x])/128","A",2,1,22,0.04545,1,"{88}"
1573,1,76,0,0.0414432,"\int \frac{(2+3 x)^6 (3+5 x)^3}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^6*(3 + 5*x)^3)/(1 - 2*x)^2,x]","\frac{91125 x^8}{32}+\frac{309825 x^7}{14}+\frac{2611845 x^6}{32}+\frac{15403257 x^5}{80}+\frac{85406805 x^4}{256}+\frac{7530189 x^3}{16}+\frac{310976027 x^2}{512}+\frac{230244479 x}{256}+\frac{156590819}{1024 (1-2 x)}+\frac{616195041 \log (1-2 x)}{1024}","\frac{91125 x^8}{32}+\frac{309825 x^7}{14}+\frac{2611845 x^6}{32}+\frac{15403257 x^5}{80}+\frac{85406805 x^4}{256}+\frac{7530189 x^3}{16}+\frac{310976027 x^2}{512}+\frac{230244479 x}{256}+\frac{156590819}{1024 (1-2 x)}+\frac{616195041 \log (1-2 x)}{1024}",1,"156590819/(1024*(1 - 2*x)) + (230244479*x)/256 + (310976027*x^2)/512 + (7530189*x^3)/16 + (85406805*x^4)/256 + (15403257*x^5)/80 + (2611845*x^6)/32 + (309825*x^7)/14 + (91125*x^8)/32 + (616195041*Log[1 - 2*x])/1024","A",2,1,22,0.04545,1,"{88}"
1574,1,69,0,0.0363526,"\int \frac{(2+3 x)^5 (3+5 x)^3}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^5*(3 + 5*x)^3)/(1 - 2*x)^2,x]","\frac{30375 x^7}{28}+\frac{15525 x^6}{2}+\frac{423009 x^5}{16}+\frac{3724389 x^4}{64}+\frac{6179077 x^3}{64}+\frac{8881301 x^2}{64}+\frac{56291737 x}{256}+\frac{22370117}{512 (1-2 x)}+\frac{39220335}{256} \log (1-2 x)","\frac{30375 x^7}{28}+\frac{15525 x^6}{2}+\frac{423009 x^5}{16}+\frac{3724389 x^4}{64}+\frac{6179077 x^3}{64}+\frac{8881301 x^2}{64}+\frac{56291737 x}{256}+\frac{22370117}{512 (1-2 x)}+\frac{39220335}{256} \log (1-2 x)",1,"22370117/(512*(1 - 2*x)) + (56291737*x)/256 + (8881301*x^2)/64 + (6179077*x^3)/64 + (3724389*x^4)/64 + (423009*x^5)/16 + (15525*x^6)/2 + (30375*x^7)/28 + (39220335*Log[1 - 2*x])/256","A",2,1,22,0.04545,1,"{88}"
1575,1,62,0,0.0333215,"\int \frac{(2+3 x)^4 (3+5 x)^3}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^3)/(1 - 2*x)^2,x]","\frac{3375 x^6}{8}+\frac{5535 x^5}{2}+\frac{557415 x^4}{64}+\frac{289951 x^3}{16}+\frac{3859469 x^2}{128}+\frac{209243 x}{4}+\frac{3195731}{256 (1-2 x)}+\frac{9836211}{256} \log (1-2 x)","\frac{3375 x^6}{8}+\frac{5535 x^5}{2}+\frac{557415 x^4}{64}+\frac{289951 x^3}{16}+\frac{3859469 x^2}{128}+\frac{209243 x}{4}+\frac{3195731}{256 (1-2 x)}+\frac{9836211}{256} \log (1-2 x)",1,"3195731/(256*(1 - 2*x)) + (209243*x)/4 + (3859469*x^2)/128 + (289951*x^3)/16 + (557415*x^4)/64 + (5535*x^5)/2 + (3375*x^6)/8 + (9836211*Log[1 - 2*x])/256","A",2,1,22,0.04545,1,"{88}"
1576,1,55,0,0.027731,"\int \frac{(2+3 x)^3 (3+5 x)^3}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^3)/(1 - 2*x)^2,x]","\frac{675 x^5}{4}+\frac{2025 x^4}{2}+\frac{47535 x^3}{16}+\frac{194881 x^2}{32}+\frac{766807 x}{64}+\frac{456533}{128 (1-2 x)}+\frac{302379}{32} \log (1-2 x)","\frac{675 x^5}{4}+\frac{2025 x^4}{2}+\frac{47535 x^3}{16}+\frac{194881 x^2}{32}+\frac{766807 x}{64}+\frac{456533}{128 (1-2 x)}+\frac{302379}{32} \log (1-2 x)",1,"456533/(128*(1 - 2*x)) + (766807*x)/64 + (194881*x^2)/32 + (47535*x^3)/16 + (2025*x^4)/2 + (675*x^5)/4 + (302379*Log[1 - 2*x])/32","A",2,1,22,0.04545,1,"{88}"
1577,1,48,0,0.0230594,"\int \frac{(2+3 x)^2 (3+5 x)^3}{(1-2 x)^2} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^3)/(1 - 2*x)^2,x]","\frac{1125 x^4}{16}+\frac{775 x^3}{2}+\frac{35135 x^2}{32}+\frac{41537 x}{16}+\frac{65219}{64 (1-2 x)}+\frac{144837}{64} \log (1-2 x)","\frac{1125 x^4}{16}+\frac{775 x^3}{2}+\frac{35135 x^2}{32}+\frac{41537 x}{16}+\frac{65219}{64 (1-2 x)}+\frac{144837}{64} \log (1-2 x)",1,"65219/(64*(1 - 2*x)) + (41537*x)/16 + (35135*x^2)/32 + (775*x^3)/2 + (1125*x^4)/16 + (144837*Log[1 - 2*x])/64","A",2,1,22,0.04545,1,"{88}"
1578,1,41,0,0.0188122,"\int \frac{(2+3 x) (3+5 x)^3}{(1-2 x)^2} \, dx","Int[((2 + 3*x)*(3 + 5*x)^3)/(1 - 2*x)^2,x]","\frac{125 x^3}{4}+\frac{325 x^2}{2}+\frac{8245 x}{16}+\frac{9317}{32 (1-2 x)}+\frac{8349}{16} \log (1-2 x)","\frac{125 x^3}{4}+\frac{325 x^2}{2}+\frac{8245 x}{16}+\frac{9317}{32 (1-2 x)}+\frac{8349}{16} \log (1-2 x)",1,"9317/(32*(1 - 2*x)) + (8245*x)/16 + (325*x^2)/2 + (125*x^3)/4 + (8349*Log[1 - 2*x])/16","A",2,1,20,0.05000,1,"{77}"
1579,1,34,0,0.0146051,"\int \frac{(3+5 x)^3}{(1-2 x)^2} \, dx","Int[(3 + 5*x)^3/(1 - 2*x)^2,x]","\frac{125 x^2}{8}+\frac{175 x}{2}+\frac{1331}{16 (1-2 x)}+\frac{1815}{16} \log (1-2 x)","\frac{125 x^2}{8}+\frac{175 x}{2}+\frac{1331}{16 (1-2 x)}+\frac{1815}{16} \log (1-2 x)",1,"1331/(16*(1 - 2*x)) + (175*x)/2 + (125*x^2)/8 + (1815*Log[1 - 2*x])/16","A",2,1,15,0.06667,1,"{43}"
1580,1,37,0,0.0166677,"\int \frac{(3+5 x)^3}{(1-2 x)^2 (2+3 x)} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^2*(2 + 3*x)),x]","\frac{125 x}{12}+\frac{1331}{56 (1-2 x)}+\frac{1089}{49} \log (1-2 x)-\frac{1}{441} \log (3 x+2)","\frac{125 x}{12}+\frac{1331}{56 (1-2 x)}+\frac{1089}{49} \log (1-2 x)-\frac{1}{441} \log (3 x+2)",1,"1331/(56*(1 - 2*x)) + (125*x)/12 + (1089*Log[1 - 2*x])/49 - Log[2 + 3*x]/441","A",2,1,22,0.04545,1,"{88}"
1581,1,43,0,0.0185813,"\int \frac{(3+5 x)^3}{(1-2 x)^2 (2+3 x)^2} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^2*(2 + 3*x)^2),x]","\frac{1331}{196 (1-2 x)}+\frac{1}{441 (3 x+2)}+\frac{4719 \log (1-2 x)}{1372}+\frac{101 \log (3 x+2)}{3087}","\frac{1331}{196 (1-2 x)}+\frac{1}{441 (3 x+2)}+\frac{4719 \log (1-2 x)}{1372}+\frac{101 \log (3 x+2)}{3087}",1,"1331/(196*(1 - 2*x)) + 1/(441*(2 + 3*x)) + (4719*Log[1 - 2*x])/1372 + (101*Log[2 + 3*x])/3087","A",2,1,22,0.04545,1,"{88}"
1582,1,54,0,0.0233992,"\int \frac{(3+5 x)^3}{(1-2 x)^2 (2+3 x)^3} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^2*(2 + 3*x)^3),x]","\frac{1331}{686 (1-2 x)}-\frac{101}{3087 (3 x+2)}+\frac{1}{882 (3 x+2)^2}+\frac{363 \log (1-2 x)}{2401}-\frac{363 \log (3 x+2)}{2401}","\frac{1331}{686 (1-2 x)}-\frac{101}{3087 (3 x+2)}+\frac{1}{882 (3 x+2)^2}+\frac{363 \log (1-2 x)}{2401}-\frac{363 \log (3 x+2)}{2401}",1,"1331/(686*(1 - 2*x)) + 1/(882*(2 + 3*x)^2) - 101/(3087*(2 + 3*x)) + (363*Log[1 - 2*x])/2401 - (363*Log[2 + 3*x])/2401","A",2,1,22,0.04545,1,"{88}"
1583,1,65,0,0.02997,"\int \frac{(3+5 x)^3}{(1-2 x)^2 (2+3 x)^4} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^2*(2 + 3*x)^4),x]","\frac{1331}{2401 (1-2 x)}+\frac{363}{2401 (3 x+2)}-\frac{101}{6174 (3 x+2)^2}+\frac{1}{1323 (3 x+2)^3}-\frac{3267 \log (1-2 x)}{16807}+\frac{3267 \log (3 x+2)}{16807}","\frac{1331}{2401 (1-2 x)}+\frac{363}{2401 (3 x+2)}-\frac{101}{6174 (3 x+2)^2}+\frac{1}{1323 (3 x+2)^3}-\frac{3267 \log (1-2 x)}{16807}+\frac{3267 \log (3 x+2)}{16807}",1,"1331/(2401*(1 - 2*x)) + 1/(1323*(2 + 3*x)^3) - 101/(6174*(2 + 3*x)^2) + 363/(2401*(2 + 3*x)) - (3267*Log[1 - 2*x])/16807 + (3267*Log[2 + 3*x])/16807","A",2,1,22,0.04545,1,"{88}"
1584,1,76,0,0.034965,"\int \frac{(3+5 x)^3}{(1-2 x)^2 (2+3 x)^5} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^2*(2 + 3*x)^5),x]","\frac{2662}{16807 (1-2 x)}-\frac{3267}{16807 (3 x+2)}+\frac{363}{4802 (3 x+2)^2}-\frac{101}{9261 (3 x+2)^3}+\frac{1}{1764 (3 x+2)^4}-\frac{14520 \log (1-2 x)}{117649}+\frac{14520 \log (3 x+2)}{117649}","\frac{2662}{16807 (1-2 x)}-\frac{3267}{16807 (3 x+2)}+\frac{363}{4802 (3 x+2)^2}-\frac{101}{9261 (3 x+2)^3}+\frac{1}{1764 (3 x+2)^4}-\frac{14520 \log (1-2 x)}{117649}+\frac{14520 \log (3 x+2)}{117649}",1,"2662/(16807*(1 - 2*x)) + 1/(1764*(2 + 3*x)^4) - 101/(9261*(2 + 3*x)^3) + 363/(4802*(2 + 3*x)^2) - 3267/(16807*(2 + 3*x)) - (14520*Log[1 - 2*x])/117649 + (14520*Log[2 + 3*x])/117649","A",2,1,22,0.04545,1,"{88}"
1585,1,87,0,0.0422226,"\int \frac{(3+5 x)^3}{(1-2 x)^2 (2+3 x)^6} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^2*(2 + 3*x)^6),x]","\frac{5324}{117649 (1-2 x)}-\frac{14520}{117649 (3 x+2)}-\frac{3267}{33614 (3 x+2)^2}+\frac{121}{2401 (3 x+2)^3}-\frac{101}{12348 (3 x+2)^4}+\frac{1}{2205 (3 x+2)^5}-\frac{45012 \log (1-2 x)}{823543}+\frac{45012 \log (3 x+2)}{823543}","\frac{5324}{117649 (1-2 x)}-\frac{14520}{117649 (3 x+2)}-\frac{3267}{33614 (3 x+2)^2}+\frac{121}{2401 (3 x+2)^3}-\frac{101}{12348 (3 x+2)^4}+\frac{1}{2205 (3 x+2)^5}-\frac{45012 \log (1-2 x)}{823543}+\frac{45012 \log (3 x+2)}{823543}",1,"5324/(117649*(1 - 2*x)) + 1/(2205*(2 + 3*x)^5) - 101/(12348*(2 + 3*x)^4) + 121/(2401*(2 + 3*x)^3) - 3267/(33614*(2 + 3*x)^2) - 14520/(117649*(2 + 3*x)) - (45012*Log[1 - 2*x])/823543 + (45012*Log[2 + 3*x])/823543","A",2,1,22,0.04545,1,"{88}"
1586,1,98,0,0.0501509,"\int \frac{(3+5 x)^3}{(1-2 x)^2 (2+3 x)^7} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^2*(2 + 3*x)^7),x]","\frac{10648}{823543 (1-2 x)}-\frac{45012}{823543 (3 x+2)}-\frac{7260}{117649 (3 x+2)^2}-\frac{1089}{16807 (3 x+2)^3}+\frac{363}{9604 (3 x+2)^4}-\frac{101}{15435 (3 x+2)^5}+\frac{1}{2646 (3 x+2)^6}-\frac{17424 \log (1-2 x)}{823543}+\frac{17424 \log (3 x+2)}{823543}","\frac{10648}{823543 (1-2 x)}-\frac{45012}{823543 (3 x+2)}-\frac{7260}{117649 (3 x+2)^2}-\frac{1089}{16807 (3 x+2)^3}+\frac{363}{9604 (3 x+2)^4}-\frac{101}{15435 (3 x+2)^5}+\frac{1}{2646 (3 x+2)^6}-\frac{17424 \log (1-2 x)}{823543}+\frac{17424 \log (3 x+2)}{823543}",1,"10648/(823543*(1 - 2*x)) + 1/(2646*(2 + 3*x)^6) - 101/(15435*(2 + 3*x)^5) + 363/(9604*(2 + 3*x)^4) - 1089/(16807*(2 + 3*x)^3) - 7260/(117649*(2 + 3*x)^2) - 45012/(823543*(2 + 3*x)) - (17424*Log[1 - 2*x])/823543 + (17424*Log[2 + 3*x])/823543","A",2,1,22,0.04545,1,"{88}"
1587,1,109,0,0.05431,"\int \frac{(3+5 x)^3}{(1-2 x)^2 (2+3 x)^8} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^2*(2 + 3*x)^8),x]","\frac{21296}{5764801 (1-2 x)}-\frac{17424}{823543 (3 x+2)}-\frac{22506}{823543 (3 x+2)^2}-\frac{4840}{117649 (3 x+2)^3}-\frac{3267}{67228 (3 x+2)^4}+\frac{363}{12005 (3 x+2)^5}-\frac{101}{18522 (3 x+2)^6}+\frac{1}{3087 (3 x+2)^7}-\frac{307824 \log (1-2 x)}{40353607}+\frac{307824 \log (3 x+2)}{40353607}","\frac{21296}{5764801 (1-2 x)}-\frac{17424}{823543 (3 x+2)}-\frac{22506}{823543 (3 x+2)^2}-\frac{4840}{117649 (3 x+2)^3}-\frac{3267}{67228 (3 x+2)^4}+\frac{363}{12005 (3 x+2)^5}-\frac{101}{18522 (3 x+2)^6}+\frac{1}{3087 (3 x+2)^7}-\frac{307824 \log (1-2 x)}{40353607}+\frac{307824 \log (3 x+2)}{40353607}",1,"21296/(5764801*(1 - 2*x)) + 1/(3087*(2 + 3*x)^7) - 101/(18522*(2 + 3*x)^6) + 363/(12005*(2 + 3*x)^5) - 3267/(67228*(2 + 3*x)^4) - 4840/(117649*(2 + 3*x)^3) - 22506/(823543*(2 + 3*x)^2) - 17424/(823543*(2 + 3*x)) - (307824*Log[1 - 2*x])/40353607 + (307824*Log[2 + 3*x])/40353607","A",2,1,22,0.04545,1,"{88}"
1588,1,72,0,0.0378205,"\int \frac{(2+3 x)^8}{(1-2 x)^2 (3+5 x)} \, dx","Int[(2 + 3*x)^8/((1 - 2*x)^2*(3 + 5*x)),x]","\frac{2187 x^6}{40}+\frac{94041 x^5}{250}+\frac{9899091 x^4}{8000}+\frac{26773659 x^3}{10000}+\frac{1839811401 x^2}{400000}+\frac{2041906293 x}{250000}+\frac{5764801}{2816 (1-2 x)}+\frac{188591347 \log (1-2 x)}{30976}+\frac{\log (5 x+3)}{9453125}","\frac{2187 x^6}{40}+\frac{94041 x^5}{250}+\frac{9899091 x^4}{8000}+\frac{26773659 x^3}{10000}+\frac{1839811401 x^2}{400000}+\frac{2041906293 x}{250000}+\frac{5764801}{2816 (1-2 x)}+\frac{188591347 \log (1-2 x)}{30976}+\frac{\log (5 x+3)}{9453125}",1,"5764801/(2816*(1 - 2*x)) + (2041906293*x)/250000 + (1839811401*x^2)/400000 + (26773659*x^3)/10000 + (9899091*x^4)/8000 + (94041*x^5)/250 + (2187*x^6)/40 + (188591347*Log[1 - 2*x])/30976 + Log[3 + 5*x]/9453125","A",2,1,22,0.04545,1,"{88}"
1589,1,65,0,0.0312579,"\int \frac{(2+3 x)^7}{(1-2 x)^2 (3+5 x)} \, dx","Int[(2 + 3*x)^7/((1 - 2*x)^2*(3 + 5*x)),x]","\frac{2187 x^5}{100}+\frac{13851 x^4}{100}+\frac{853659 x^3}{2000}+\frac{18237069 x^2}{20000}+\frac{370109547 x}{200000}+\frac{823543}{1408 (1-2 x)}+\frac{5764801 \log (1-2 x)}{3872}+\frac{\log (5 x+3)}{1890625}","\frac{2187 x^5}{100}+\frac{13851 x^4}{100}+\frac{853659 x^3}{2000}+\frac{18237069 x^2}{20000}+\frac{370109547 x}{200000}+\frac{823543}{1408 (1-2 x)}+\frac{5764801 \log (1-2 x)}{3872}+\frac{\log (5 x+3)}{1890625}",1,"823543/(1408*(1 - 2*x)) + (370109547*x)/200000 + (18237069*x^2)/20000 + (853659*x^3)/2000 + (13851*x^4)/100 + (2187*x^5)/100 + (5764801*Log[1 - 2*x])/3872 + Log[3 + 5*x]/1890625","A",2,1,22,0.04545,1,"{88}"
1590,1,58,0,0.027014,"\int \frac{(2+3 x)^6}{(1-2 x)^2 (3+5 x)} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)^2*(3 + 5*x)),x]","\frac{729 x^4}{80}+\frac{2673 x^3}{50}+\frac{639819 x^2}{4000}+\frac{3946293 x}{10000}+\frac{117649}{704 (1-2 x)}+\frac{2739541 \log (1-2 x)}{7744}+\frac{\log (5 x+3)}{378125}","\frac{729 x^4}{80}+\frac{2673 x^3}{50}+\frac{639819 x^2}{4000}+\frac{3946293 x}{10000}+\frac{117649}{704 (1-2 x)}+\frac{2739541 \log (1-2 x)}{7744}+\frac{\log (5 x+3)}{378125}",1,"117649/(704*(1 - 2*x)) + (3946293*x)/10000 + (639819*x^2)/4000 + (2673*x^3)/50 + (729*x^4)/80 + (2739541*Log[1 - 2*x])/7744 + Log[3 + 5*x]/378125","A",2,1,22,0.04545,1,"{88}"
1591,1,51,0,0.0247458,"\int \frac{(2+3 x)^5}{(1-2 x)^2 (3+5 x)} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^2*(3 + 5*x)),x]","\frac{81 x^3}{20}+\frac{567 x^2}{25}+\frac{152793 x}{2000}+\frac{16807}{352 (1-2 x)}+\frac{156065 \log (1-2 x)}{1936}+\frac{\log (5 x+3)}{75625}","\frac{81 x^3}{20}+\frac{567 x^2}{25}+\frac{152793 x}{2000}+\frac{16807}{352 (1-2 x)}+\frac{156065 \log (1-2 x)}{1936}+\frac{\log (5 x+3)}{75625}",1,"16807/(352*(1 - 2*x)) + (152793*x)/2000 + (567*x^2)/25 + (81*x^3)/20 + (156065*Log[1 - 2*x])/1936 + Log[3 + 5*x]/75625","A",2,1,22,0.04545,1,"{88}"
1592,1,44,0,0.020464,"\int \frac{(2+3 x)^4}{(1-2 x)^2 (3+5 x)} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^2*(3 + 5*x)),x]","\frac{81 x^2}{40}+\frac{621 x}{50}+\frac{2401}{176 (1-2 x)}+\frac{33271 \log (1-2 x)}{1936}+\frac{\log (5 x+3)}{15125}","\frac{81 x^2}{40}+\frac{621 x}{50}+\frac{2401}{176 (1-2 x)}+\frac{33271 \log (1-2 x)}{1936}+\frac{\log (5 x+3)}{15125}",1,"2401/(176*(1 - 2*x)) + (621*x)/50 + (81*x^2)/40 + (33271*Log[1 - 2*x])/1936 + Log[3 + 5*x]/15125","A",2,1,22,0.04545,1,"{88}"
1593,1,37,0,0.0160597,"\int \frac{(2+3 x)^3}{(1-2 x)^2 (3+5 x)} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^2*(3 + 5*x)),x]","\frac{27 x}{20}+\frac{343}{88 (1-2 x)}+\frac{392}{121} \log (1-2 x)+\frac{\log (5 x+3)}{3025}","\frac{27 x}{20}+\frac{343}{88 (1-2 x)}+\frac{392}{121} \log (1-2 x)+\frac{\log (5 x+3)}{3025}",1,"343/(88*(1 - 2*x)) + (27*x)/20 + (392*Log[1 - 2*x])/121 + Log[3 + 5*x]/3025","A",2,1,22,0.04545,1,"{88}"
1594,1,32,0,0.0135686,"\int \frac{(2+3 x)^2}{(1-2 x)^2 (3+5 x)} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^2*(3 + 5*x)),x]","\frac{49}{44 (1-2 x)}+\frac{217}{484} \log (1-2 x)+\frac{1}{605} \log (5 x+3)","\frac{49}{44 (1-2 x)}+\frac{217}{484} \log (1-2 x)+\frac{1}{605} \log (5 x+3)",1,"49/(44*(1 - 2*x)) + (217*Log[1 - 2*x])/484 + Log[3 + 5*x]/605","A",2,1,22,0.04545,1,"{88}"
1595,1,32,0,0.0137954,"\int \frac{2+3 x}{(1-2 x)^2 (3+5 x)} \, dx","Int[(2 + 3*x)/((1 - 2*x)^2*(3 + 5*x)),x]","\frac{7}{22 (1-2 x)}-\frac{1}{121} \log (1-2 x)+\frac{1}{121} \log (5 x+3)","\frac{7}{22 (1-2 x)}-\frac{1}{121} \log (1-2 x)+\frac{1}{121} \log (5 x+3)",1,"7/(22*(1 - 2*x)) - Log[1 - 2*x]/121 + Log[3 + 5*x]/121","A",2,1,20,0.05000,1,"{77}"
1596,1,32,0,0.0123018,"\int \frac{1}{(1-2 x)^2 (3+5 x)} \, dx","Int[1/((1 - 2*x)^2*(3 + 5*x)),x]","\frac{1}{11 (1-2 x)}-\frac{5}{121} \log (1-2 x)+\frac{5}{121} \log (5 x+3)","\frac{1}{11 (1-2 x)}-\frac{5}{121} \log (1-2 x)+\frac{5}{121} \log (5 x+3)",1,"1/(11*(1 - 2*x)) - (5*Log[1 - 2*x])/121 + (5*Log[3 + 5*x])/121","A",2,1,15,0.06667,1,"{44}"
1597,1,42,0,0.0192348,"\int \frac{1}{(1-2 x)^2 (2+3 x) (3+5 x)} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)*(3 + 5*x)),x]","\frac{2}{77 (1-2 x)}-\frac{136 \log (1-2 x)}{5929}-\frac{9}{49} \log (3 x+2)+\frac{25}{121} \log (5 x+3)","\frac{2}{77 (1-2 x)}-\frac{136 \log (1-2 x)}{5929}-\frac{9}{49} \log (3 x+2)+\frac{25}{121} \log (5 x+3)",1,"2/(77*(1 - 2*x)) - (136*Log[1 - 2*x])/5929 - (9*Log[2 + 3*x])/49 + (25*Log[3 + 5*x])/121","A",2,1,22,0.04545,1,"{72}"
1598,1,53,0,0.0237716,"\int \frac{1}{(1-2 x)^2 (2+3 x)^2 (3+5 x)} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)^2*(3 + 5*x)),x]","\frac{4}{539 (1-2 x)}+\frac{9}{49 (3 x+2)}-\frac{404 \log (1-2 x)}{41503}-\frac{351}{343} \log (3 x+2)+\frac{125}{121} \log (5 x+3)","\frac{4}{539 (1-2 x)}+\frac{9}{49 (3 x+2)}-\frac{404 \log (1-2 x)}{41503}-\frac{351}{343} \log (3 x+2)+\frac{125}{121} \log (5 x+3)",1,"4/(539*(1 - 2*x)) + 9/(49*(2 + 3*x)) - (404*Log[1 - 2*x])/41503 - (351*Log[2 + 3*x])/343 + (125*Log[3 + 5*x])/121","A",2,1,22,0.04545,1,"{88}"
1599,1,64,0,0.0323773,"\int \frac{1}{(1-2 x)^2 (2+3 x)^3 (3+5 x)} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)^3*(3 + 5*x)),x]","\frac{8}{3773 (1-2 x)}+\frac{351}{343 (3 x+2)}+\frac{9}{98 (3 x+2)^2}-\frac{1072 \log (1-2 x)}{290521}-\frac{12393 \log (3 x+2)}{2401}+\frac{625}{121} \log (5 x+3)","\frac{8}{3773 (1-2 x)}+\frac{351}{343 (3 x+2)}+\frac{9}{98 (3 x+2)^2}-\frac{1072 \log (1-2 x)}{290521}-\frac{12393 \log (3 x+2)}{2401}+\frac{625}{121} \log (5 x+3)",1,"8/(3773*(1 - 2*x)) + 9/(98*(2 + 3*x)^2) + 351/(343*(2 + 3*x)) - (1072*Log[1 - 2*x])/290521 - (12393*Log[2 + 3*x])/2401 + (625*Log[3 + 5*x])/121","A",2,1,22,0.04545,1,"{88}"
1600,1,75,0,0.0376873,"\int \frac{1}{(1-2 x)^2 (2+3 x)^4 (3+5 x)} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)^4*(3 + 5*x)),x]","\frac{16}{26411 (1-2 x)}+\frac{12393}{2401 (3 x+2)}+\frac{351}{686 (3 x+2)^2}+\frac{3}{49 (3 x+2)^3}-\frac{2672 \log (1-2 x)}{2033647}-\frac{434043 \log (3 x+2)}{16807}+\frac{3125}{121} \log (5 x+3)","\frac{16}{26411 (1-2 x)}+\frac{12393}{2401 (3 x+2)}+\frac{351}{686 (3 x+2)^2}+\frac{3}{49 (3 x+2)^3}-\frac{2672 \log (1-2 x)}{2033647}-\frac{434043 \log (3 x+2)}{16807}+\frac{3125}{121} \log (5 x+3)",1,"16/(26411*(1 - 2*x)) + 3/(49*(2 + 3*x)^3) + 351/(686*(2 + 3*x)^2) + 12393/(2401*(2 + 3*x)) - (2672*Log[1 - 2*x])/2033647 - (434043*Log[2 + 3*x])/16807 + (3125*Log[3 + 5*x])/121","A",2,1,22,0.04545,1,"{88}"
1601,1,86,0,0.0460715,"\int \frac{1}{(1-2 x)^2 (2+3 x)^5 (3+5 x)} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)^5*(3 + 5*x)),x]","\frac{32}{184877 (1-2 x)}+\frac{434043}{16807 (3 x+2)}+\frac{12393}{4802 (3 x+2)^2}+\frac{117}{343 (3 x+2)^3}+\frac{9}{196 (3 x+2)^4}-\frac{6400 \log (1-2 x)}{14235529}-\frac{15192225 \log (3 x+2)}{117649}+\frac{15625}{121} \log (5 x+3)","\frac{32}{184877 (1-2 x)}+\frac{434043}{16807 (3 x+2)}+\frac{12393}{4802 (3 x+2)^2}+\frac{117}{343 (3 x+2)^3}+\frac{9}{196 (3 x+2)^4}-\frac{6400 \log (1-2 x)}{14235529}-\frac{15192225 \log (3 x+2)}{117649}+\frac{15625}{121} \log (5 x+3)",1,"32/(184877*(1 - 2*x)) + 9/(196*(2 + 3*x)^4) + 117/(343*(2 + 3*x)^3) + 12393/(4802*(2 + 3*x)^2) + 434043/(16807*(2 + 3*x)) - (6400*Log[1 - 2*x])/14235529 - (15192225*Log[2 + 3*x])/117649 + (15625*Log[3 + 5*x])/121","A",2,1,22,0.04545,1,"{88}"
1602,1,97,0,0.0544353,"\int \frac{1}{(1-2 x)^2 (2+3 x)^6 (3+5 x)} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)^6*(3 + 5*x)),x]","\frac{64}{1294139 (1-2 x)}+\frac{15192225}{117649 (3 x+2)}+\frac{434043}{33614 (3 x+2)^2}+\frac{4131}{2401 (3 x+2)^3}+\frac{351}{1372 (3 x+2)^4}+\frac{9}{245 (3 x+2)^5}-\frac{14912 \log (1-2 x)}{99648703}-\frac{531729603 \log (3 x+2)}{823543}+\frac{78125}{121} \log (5 x+3)","\frac{64}{1294139 (1-2 x)}+\frac{15192225}{117649 (3 x+2)}+\frac{434043}{33614 (3 x+2)^2}+\frac{4131}{2401 (3 x+2)^3}+\frac{351}{1372 (3 x+2)^4}+\frac{9}{245 (3 x+2)^5}-\frac{14912 \log (1-2 x)}{99648703}-\frac{531729603 \log (3 x+2)}{823543}+\frac{78125}{121} \log (5 x+3)",1,"64/(1294139*(1 - 2*x)) + 9/(245*(2 + 3*x)^5) + 351/(1372*(2 + 3*x)^4) + 4131/(2401*(2 + 3*x)^3) + 434043/(33614*(2 + 3*x)^2) + 15192225/(117649*(2 + 3*x)) - (14912*Log[1 - 2*x])/99648703 - (531729603*Log[2 + 3*x])/823543 + (78125*Log[3 + 5*x])/121","A",2,1,22,0.04545,1,"{88}"
1603,1,76,0,0.0437943,"\int \frac{(2+3 x)^8}{(1-2 x)^2 (3+5 x)^2} \, dx","Int[(2 + 3*x)^8/((1 - 2*x)^2*(3 + 5*x)^2),x]","\frac{6561 x^5}{500}+\frac{168399 x^4}{2000}+\frac{2626101 x^3}{10000}+\frac{14171517 x^2}{25000}+\frac{231915717 x}{200000}+\frac{5764801}{15488 (1-2 x)}-\frac{1}{9453125 (5 x+3)}+\frac{79883671 \log (1-2 x)}{85184}+\frac{268 \log (5 x+3)}{103984375}","\frac{6561 x^5}{500}+\frac{168399 x^4}{2000}+\frac{2626101 x^3}{10000}+\frac{14171517 x^2}{25000}+\frac{231915717 x}{200000}+\frac{5764801}{15488 (1-2 x)}-\frac{1}{9453125 (5 x+3)}+\frac{79883671 \log (1-2 x)}{85184}+\frac{268 \log (5 x+3)}{103984375}",1,"5764801/(15488*(1 - 2*x)) + (231915717*x)/200000 + (14171517*x^2)/25000 + (2626101*x^3)/10000 + (168399*x^4)/2000 + (6561*x^5)/500 - 1/(9453125*(3 + 5*x)) + (79883671*Log[1 - 2*x])/85184 + (268*Log[3 + 5*x])/103984375","A",2,1,22,0.04545,1,"{88}"
1604,1,69,0,0.0395852,"\int \frac{(2+3 x)^7}{(1-2 x)^2 (3+5 x)^2} \, dx","Int[(2 + 3*x)^7/((1 - 2*x)^2*(3 + 5*x)^2),x]","\frac{2187 x^4}{400}+\frac{16281 x^3}{500}+\frac{1974861 x^2}{20000}+\frac{6156243 x}{25000}+\frac{823543}{7744 (1-2 x)}-\frac{1}{1890625 (5 x+3)}+\frac{18941489 \log (1-2 x)}{85184}+\frac{47 \log (5 x+3)}{4159375}","\frac{2187 x^4}{400}+\frac{16281 x^3}{500}+\frac{1974861 x^2}{20000}+\frac{6156243 x}{25000}+\frac{823543}{7744 (1-2 x)}-\frac{1}{1890625 (5 x+3)}+\frac{18941489 \log (1-2 x)}{85184}+\frac{47 \log (5 x+3)}{4159375}",1,"823543/(7744*(1 - 2*x)) + (6156243*x)/25000 + (1974861*x^2)/20000 + (16281*x^3)/500 + (2187*x^4)/400 - 1/(1890625*(3 + 5*x)) + (18941489*Log[1 - 2*x])/85184 + (47*Log[3 + 5*x])/4159375","A",2,1,22,0.04545,1,"{88}"
1605,1,62,0,0.0298386,"\int \frac{(2+3 x)^6}{(1-2 x)^2 (3+5 x)^2} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)^2*(3 + 5*x)^2),x]","\frac{243 x^3}{100}+\frac{13851 x^2}{1000}+\frac{473607 x}{10000}+\frac{117649}{3872 (1-2 x)}-\frac{1}{378125 (5 x+3)}+\frac{67228 \log (1-2 x)}{1331}+\frac{202 \log (5 x+3)}{4159375}","\frac{243 x^3}{100}+\frac{13851 x^2}{1000}+\frac{473607 x}{10000}+\frac{117649}{3872 (1-2 x)}-\frac{1}{378125 (5 x+3)}+\frac{67228 \log (1-2 x)}{1331}+\frac{202 \log (5 x+3)}{4159375}",1,"117649/(3872*(1 - 2*x)) + (473607*x)/10000 + (13851*x^2)/1000 + (243*x^3)/100 - 1/(378125*(3 + 5*x)) + (67228*Log[1 - 2*x])/1331 + (202*Log[3 + 5*x])/4159375","A",2,1,22,0.04545,1,"{88}"
1606,1,55,0,0.0260584,"\int \frac{(2+3 x)^5}{(1-2 x)^2 (3+5 x)^2} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^2*(3 + 5*x)^2),x]","\frac{243 x^2}{200}+\frac{3807 x}{500}+\frac{16807}{1936 (1-2 x)}-\frac{1}{75625 (5 x+3)}+\frac{228095 \log (1-2 x)}{21296}+\frac{169 \log (5 x+3)}{831875}","\frac{243 x^2}{200}+\frac{3807 x}{500}+\frac{16807}{1936 (1-2 x)}-\frac{1}{75625 (5 x+3)}+\frac{228095 \log (1-2 x)}{21296}+\frac{169 \log (5 x+3)}{831875}",1,"16807/(1936*(1 - 2*x)) + (3807*x)/500 + (243*x^2)/200 - 1/(75625*(3 + 5*x)) + (228095*Log[1 - 2*x])/21296 + (169*Log[3 + 5*x])/831875","A",2,1,22,0.04545,1,"{88}"
1607,1,48,0,0.02227,"\int \frac{(2+3 x)^4}{(1-2 x)^2 (3+5 x)^2} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^2*(3 + 5*x)^2),x]","\frac{81 x}{100}+\frac{2401}{968 (1-2 x)}-\frac{1}{15125 (5 x+3)}+\frac{10633 \log (1-2 x)}{5324}+\frac{136 \log (5 x+3)}{166375}","\frac{81 x}{100}+\frac{2401}{968 (1-2 x)}-\frac{1}{15125 (5 x+3)}+\frac{10633 \log (1-2 x)}{5324}+\frac{136 \log (5 x+3)}{166375}",1,"2401/(968*(1 - 2*x)) + (81*x)/100 - 1/(15125*(3 + 5*x)) + (10633*Log[1 - 2*x])/5324 + (136*Log[3 + 5*x])/166375","A",2,1,22,0.04545,1,"{88}"
1608,1,43,0,0.0210416,"\int \frac{(2+3 x)^3}{(1-2 x)^2 (3+5 x)^2} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^2*(3 + 5*x)^2),x]","\frac{343}{484 (1-2 x)}-\frac{1}{3025 (5 x+3)}+\frac{1421 \log (1-2 x)}{5324}+\frac{103 \log (5 x+3)}{33275}","\frac{343}{484 (1-2 x)}-\frac{1}{3025 (5 x+3)}+\frac{1421 \log (1-2 x)}{5324}+\frac{103 \log (5 x+3)}{33275}",1,"343/(484*(1 - 2*x)) - 1/(3025*(3 + 5*x)) + (1421*Log[1 - 2*x])/5324 + (103*Log[3 + 5*x])/33275","A",2,1,22,0.04545,1,"{88}"
1609,1,43,0,0.0184056,"\int \frac{(2+3 x)^2}{(1-2 x)^2 (3+5 x)^2} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^2*(3 + 5*x)^2),x]","\frac{49}{242 (1-2 x)}-\frac{1}{605 (5 x+3)}-\frac{14 \log (1-2 x)}{1331}+\frac{14 \log (5 x+3)}{1331}","\frac{49}{242 (1-2 x)}-\frac{1}{605 (5 x+3)}-\frac{14 \log (1-2 x)}{1331}+\frac{14 \log (5 x+3)}{1331}",1,"49/(242*(1 - 2*x)) - 1/(605*(3 + 5*x)) - (14*Log[1 - 2*x])/1331 + (14*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{88}"
1610,1,43,0,0.0171225,"\int \frac{2+3 x}{(1-2 x)^2 (3+5 x)^2} \, dx","Int[(2 + 3*x)/((1 - 2*x)^2*(3 + 5*x)^2),x]","\frac{7}{121 (1-2 x)}-\frac{1}{121 (5 x+3)}-\frac{37 \log (1-2 x)}{1331}+\frac{37 \log (5 x+3)}{1331}","\frac{7}{121 (1-2 x)}-\frac{1}{121 (5 x+3)}-\frac{37 \log (1-2 x)}{1331}+\frac{37 \log (5 x+3)}{1331}",1,"7/(121*(1 - 2*x)) - 1/(121*(3 + 5*x)) - (37*Log[1 - 2*x])/1331 + (37*Log[3 + 5*x])/1331","A",2,1,20,0.05000,1,"{77}"
1611,1,43,0,0.0172776,"\int \frac{1}{(1-2 x)^2 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^2*(3 + 5*x)^2),x]","\frac{2}{121 (1-2 x)}-\frac{5}{121 (5 x+3)}-\frac{20 \log (1-2 x)}{1331}+\frac{20 \log (5 x+3)}{1331}","\frac{2}{121 (1-2 x)}-\frac{5}{121 (5 x+3)}-\frac{20 \log (1-2 x)}{1331}+\frac{20 \log (5 x+3)}{1331}",1,"2/(121*(1 - 2*x)) - 5/(121*(3 + 5*x)) - (20*Log[1 - 2*x])/1331 + (20*Log[3 + 5*x])/1331","A",2,1,15,0.06667,1,"{44}"
1612,1,53,0,0.0252081,"\int \frac{1}{(1-2 x)^2 (2+3 x) (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)*(3 + 5*x)^2),x]","\frac{4}{847 (1-2 x)}-\frac{25}{121 (5 x+3)}-\frac{412 \log (1-2 x)}{65219}+\frac{27}{49} \log (3 x+2)-\frac{725 \log (5 x+3)}{1331}","\frac{4}{847 (1-2 x)}-\frac{25}{121 (5 x+3)}-\frac{412 \log (1-2 x)}{65219}+\frac{27}{49} \log (3 x+2)-\frac{725 \log (5 x+3)}{1331}",1,"4/(847*(1 - 2*x)) - 25/(121*(3 + 5*x)) - (412*Log[1 - 2*x])/65219 + (27*Log[2 + 3*x])/49 - (725*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{88}"
1613,1,64,0,0.0315978,"\int \frac{1}{(1-2 x)^2 (2+3 x)^2 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)^2*(3 + 5*x)^2),x]","\frac{8}{5929 (1-2 x)}-\frac{27}{49 (3 x+2)}-\frac{125}{121 (5 x+3)}-\frac{1088 \log (1-2 x)}{456533}+\frac{1998}{343} \log (3 x+2)-\frac{7750 \log (5 x+3)}{1331}","\frac{8}{5929 (1-2 x)}-\frac{27}{49 (3 x+2)}-\frac{125}{121 (5 x+3)}-\frac{1088 \log (1-2 x)}{456533}+\frac{1998}{343} \log (3 x+2)-\frac{7750 \log (5 x+3)}{1331}",1,"8/(5929*(1 - 2*x)) - 27/(49*(2 + 3*x)) - 125/(121*(3 + 5*x)) - (1088*Log[1 - 2*x])/456533 + (1998*Log[2 + 3*x])/343 - (7750*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{88}"
1614,1,75,0,0.0387723,"\int \frac{1}{(1-2 x)^2 (2+3 x)^3 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)^3*(3 + 5*x)^2),x]","\frac{16}{41503 (1-2 x)}-\frac{1998}{343 (3 x+2)}-\frac{625}{121 (5 x+3)}-\frac{27}{98 (3 x+2)^2}-\frac{2704 \log (1-2 x)}{3195731}+\frac{107109 \log (3 x+2)}{2401}-\frac{59375 \log (5 x+3)}{1331}","\frac{16}{41503 (1-2 x)}-\frac{1998}{343 (3 x+2)}-\frac{625}{121 (5 x+3)}-\frac{27}{98 (3 x+2)^2}-\frac{2704 \log (1-2 x)}{3195731}+\frac{107109 \log (3 x+2)}{2401}-\frac{59375 \log (5 x+3)}{1331}",1,"16/(41503*(1 - 2*x)) - 27/(98*(2 + 3*x)^2) - 1998/(343*(2 + 3*x)) - 625/(121*(3 + 5*x)) - (2704*Log[1 - 2*x])/3195731 + (107109*Log[2 + 3*x])/2401 - (59375*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{88}"
1615,1,86,0,0.0450506,"\int \frac{1}{(1-2 x)^2 (2+3 x)^4 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)^4*(3 + 5*x)^2),x]","\frac{32}{290521 (1-2 x)}-\frac{107109}{2401 (3 x+2)}-\frac{3125}{121 (5 x+3)}-\frac{999}{343 (3 x+2)^2}-\frac{9}{49 (3 x+2)^3}-\frac{6464 \log (1-2 x)}{22370117}+\frac{5050944 \log (3 x+2)}{16807}-\frac{400000 \log (5 x+3)}{1331}","\frac{32}{290521 (1-2 x)}-\frac{107109}{2401 (3 x+2)}-\frac{3125}{121 (5 x+3)}-\frac{999}{343 (3 x+2)^2}-\frac{9}{49 (3 x+2)^3}-\frac{6464 \log (1-2 x)}{22370117}+\frac{5050944 \log (3 x+2)}{16807}-\frac{400000 \log (5 x+3)}{1331}",1,"32/(290521*(1 - 2*x)) - 9/(49*(2 + 3*x)^3) - 999/(343*(2 + 3*x)^2) - 107109/(2401*(2 + 3*x)) - 3125/(121*(3 + 5*x)) - (6464*Log[1 - 2*x])/22370117 + (5050944*Log[2 + 3*x])/16807 - (400000*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{88}"
1616,1,97,0,0.0533089,"\int \frac{1}{(1-2 x)^2 (2+3 x)^5 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)^5*(3 + 5*x)^2),x]","\frac{64}{2033647 (1-2 x)}-\frac{5050944}{16807 (3 x+2)}-\frac{15625}{121 (5 x+3)}-\frac{107109}{4802 (3 x+2)^2}-\frac{666}{343 (3 x+2)^3}-\frac{27}{196 (3 x+2)^4}-\frac{15040 \log (1-2 x)}{156590819}+\frac{222359715 \log (3 x+2)}{117649}-\frac{2515625 \log (5 x+3)}{1331}","\frac{64}{2033647 (1-2 x)}-\frac{5050944}{16807 (3 x+2)}-\frac{15625}{121 (5 x+3)}-\frac{107109}{4802 (3 x+2)^2}-\frac{666}{343 (3 x+2)^3}-\frac{27}{196 (3 x+2)^4}-\frac{15040 \log (1-2 x)}{156590819}+\frac{222359715 \log (3 x+2)}{117649}-\frac{2515625 \log (5 x+3)}{1331}",1,"64/(2033647*(1 - 2*x)) - 27/(196*(2 + 3*x)^4) - 666/(343*(2 + 3*x)^3) - 107109/(4802*(2 + 3*x)^2) - 5050944/(16807*(2 + 3*x)) - 15625/(121*(3 + 5*x)) - (15040*Log[1 - 2*x])/156590819 + (222359715*Log[2 + 3*x])/117649 - (2515625*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{88}"
1617,1,80,0,0.0420433,"\int \frac{(2+3 x)^8}{(1-2 x)^2 (3+5 x)^3} \, dx","Int[(2 + 3*x)^8/((1 - 2*x)^2*(3 + 5*x)^3),x]","\frac{6561 x^4}{2000}+\frac{12393 x^3}{625}+\frac{6093711 x^2}{100000}+\frac{7680987 x}{50000}+\frac{5764801}{85184 (1-2 x)}-\frac{268}{103984375 (5 x+3)}-\frac{1}{18906250 (5 x+3)^2}+\frac{130943337 \log (1-2 x)}{937024}+\frac{6312 \log (5 x+3)}{228765625}","\frac{6561 x^4}{2000}+\frac{12393 x^3}{625}+\frac{6093711 x^2}{100000}+\frac{7680987 x}{50000}+\frac{5764801}{85184 (1-2 x)}-\frac{268}{103984375 (5 x+3)}-\frac{1}{18906250 (5 x+3)^2}+\frac{130943337 \log (1-2 x)}{937024}+\frac{6312 \log (5 x+3)}{228765625}",1,"5764801/(85184*(1 - 2*x)) + (7680987*x)/50000 + (6093711*x^2)/100000 + (12393*x^3)/625 + (6561*x^4)/2000 - 1/(18906250*(3 + 5*x)^2) - 268/(103984375*(3 + 5*x)) + (130943337*Log[1 - 2*x])/937024 + (6312*Log[3 + 5*x])/228765625","A",2,1,22,0.04545,1,"{88}"
1618,1,73,0,0.0387854,"\int \frac{(2+3 x)^7}{(1-2 x)^2 (3+5 x)^3} \, dx","Int[(2 + 3*x)^7/((1 - 2*x)^2*(3 + 5*x)^3),x]","\frac{729 x^3}{500}+\frac{21141 x^2}{2500}+\frac{1467477 x}{50000}+\frac{823543}{42592 (1-2 x)}-\frac{47}{4159375 (5 x+3)}-\frac{1}{3781250 (5 x+3)^2}+\frac{7411887 \log (1-2 x)}{234256}+\frac{4761 \log (5 x+3)}{45753125}","\frac{729 x^3}{500}+\frac{21141 x^2}{2500}+\frac{1467477 x}{50000}+\frac{823543}{42592 (1-2 x)}-\frac{47}{4159375 (5 x+3)}-\frac{1}{3781250 (5 x+3)^2}+\frac{7411887 \log (1-2 x)}{234256}+\frac{4761 \log (5 x+3)}{45753125}",1,"823543/(42592*(1 - 2*x)) + (1467477*x)/50000 + (21141*x^2)/2500 + (729*x^3)/500 - 1/(3781250*(3 + 5*x)^2) - 47/(4159375*(3 + 5*x)) + (7411887*Log[1 - 2*x])/234256 + (4761*Log[3 + 5*x])/45753125","A",2,1,22,0.04545,1,"{88}"
1619,1,66,0,0.0317153,"\int \frac{(2+3 x)^6}{(1-2 x)^2 (3+5 x)^3} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)^2*(3 + 5*x)^3),x]","\frac{729 x^2}{1000}+\frac{2916 x}{625}+\frac{117649}{21296 (1-2 x)}-\frac{202}{4159375 (5 x+3)}-\frac{1}{756250 (5 x+3)^2}+\frac{1563051 \log (1-2 x)}{234256}+\frac{17139 \log (5 x+3)}{45753125}","\frac{729 x^2}{1000}+\frac{2916 x}{625}+\frac{117649}{21296 (1-2 x)}-\frac{202}{4159375 (5 x+3)}-\frac{1}{756250 (5 x+3)^2}+\frac{1563051 \log (1-2 x)}{234256}+\frac{17139 \log (5 x+3)}{45753125}",1,"117649/(21296*(1 - 2*x)) + (2916*x)/625 + (729*x^2)/1000 - 1/(756250*(3 + 5*x)^2) - 202/(4159375*(3 + 5*x)) + (1563051*Log[1 - 2*x])/234256 + (17139*Log[3 + 5*x])/45753125","A",2,1,22,0.04545,1,"{88}"
1620,1,59,0,0.0271595,"\int \frac{(2+3 x)^5}{(1-2 x)^2 (3+5 x)^3} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^2*(3 + 5*x)^3),x]","\frac{243 x}{500}+\frac{16807}{10648 (1-2 x)}-\frac{169}{831875 (5 x+3)}-\frac{1}{151250 (5 x+3)^2}+\frac{36015 \log (1-2 x)}{29282}+\frac{11562 \log (5 x+3)}{9150625}","\frac{243 x}{500}+\frac{16807}{10648 (1-2 x)}-\frac{169}{831875 (5 x+3)}-\frac{1}{151250 (5 x+3)^2}+\frac{36015 \log (1-2 x)}{29282}+\frac{11562 \log (5 x+3)}{9150625}",1,"16807/(10648*(1 - 2*x)) + (243*x)/500 - 1/(151250*(3 + 5*x)^2) - 169/(831875*(3 + 5*x)) + (36015*Log[1 - 2*x])/29282 + (11562*Log[3 + 5*x])/9150625","A",2,1,22,0.04545,1,"{88}"
1621,1,54,0,0.0236523,"\int \frac{(2+3 x)^4}{(1-2 x)^2 (3+5 x)^3} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^2*(3 + 5*x)^3),x]","\frac{2401}{5324 (1-2 x)}-\frac{136}{166375 (5 x+3)}-\frac{1}{30250 (5 x+3)^2}+\frac{9261 \log (1-2 x)}{58564}+\frac{7074 \log (5 x+3)}{1830125}","\frac{2401}{5324 (1-2 x)}-\frac{136}{166375 (5 x+3)}-\frac{1}{30250 (5 x+3)^2}+\frac{9261 \log (1-2 x)}{58564}+\frac{7074 \log (5 x+3)}{1830125}",1,"2401/(5324*(1 - 2*x)) - 1/(30250*(3 + 5*x)^2) - 136/(166375*(3 + 5*x)) + (9261*Log[1 - 2*x])/58564 + (7074*Log[3 + 5*x])/1830125","A",2,1,22,0.04545,1,"{88}"
1622,1,54,0,0.0241942,"\int \frac{(2+3 x)^3}{(1-2 x)^2 (3+5 x)^3} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^2*(3 + 5*x)^3),x]","\frac{343}{2662 (1-2 x)}-\frac{103}{33275 (5 x+3)}-\frac{1}{6050 (5 x+3)^2}-\frac{147 \log (1-2 x)}{14641}+\frac{147 \log (5 x+3)}{14641}","\frac{343}{2662 (1-2 x)}-\frac{103}{33275 (5 x+3)}-\frac{1}{6050 (5 x+3)^2}-\frac{147 \log (1-2 x)}{14641}+\frac{147 \log (5 x+3)}{14641}",1,"343/(2662*(1 - 2*x)) - 1/(6050*(3 + 5*x)^2) - 103/(33275*(3 + 5*x)) - (147*Log[1 - 2*x])/14641 + (147*Log[3 + 5*x])/14641","A",2,1,22,0.04545,1,"{88}"
1623,1,54,0,0.0232598,"\int \frac{(2+3 x)^2}{(1-2 x)^2 (3+5 x)^3} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^2*(3 + 5*x)^3),x]","\frac{49}{1331 (1-2 x)}-\frac{14}{1331 (5 x+3)}-\frac{1}{1210 (5 x+3)^2}-\frac{273 \log (1-2 x)}{14641}+\frac{273 \log (5 x+3)}{14641}","\frac{49}{1331 (1-2 x)}-\frac{14}{1331 (5 x+3)}-\frac{1}{1210 (5 x+3)^2}-\frac{273 \log (1-2 x)}{14641}+\frac{273 \log (5 x+3)}{14641}",1,"49/(1331*(1 - 2*x)) - 1/(1210*(3 + 5*x)^2) - 14/(1331*(3 + 5*x)) - (273*Log[1 - 2*x])/14641 + (273*Log[3 + 5*x])/14641","A",2,1,22,0.04545,1,"{88}"
1624,1,54,0,0.0222102,"\int \frac{2+3 x}{(1-2 x)^2 (3+5 x)^3} \, dx","Int[(2 + 3*x)/((1 - 2*x)^2*(3 + 5*x)^3),x]","\frac{14}{1331 (1-2 x)}-\frac{37}{1331 (5 x+3)}-\frac{1}{242 (5 x+3)^2}-\frac{144 \log (1-2 x)}{14641}+\frac{144 \log (5 x+3)}{14641}","\frac{14}{1331 (1-2 x)}-\frac{37}{1331 (5 x+3)}-\frac{1}{242 (5 x+3)^2}-\frac{144 \log (1-2 x)}{14641}+\frac{144 \log (5 x+3)}{14641}",1,"14/(1331*(1 - 2*x)) - 1/(242*(3 + 5*x)^2) - 37/(1331*(3 + 5*x)) - (144*Log[1 - 2*x])/14641 + (144*Log[3 + 5*x])/14641","A",2,1,20,0.05000,1,"{77}"
1625,1,54,0,0.0208356,"\int \frac{1}{(1-2 x)^2 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^2*(3 + 5*x)^3),x]","\frac{4}{1331 (1-2 x)}-\frac{20}{1331 (5 x+3)}-\frac{5}{242 (5 x+3)^2}-\frac{60 \log (1-2 x)}{14641}+\frac{60 \log (5 x+3)}{14641}","\frac{4}{1331 (1-2 x)}-\frac{20}{1331 (5 x+3)}-\frac{5}{242 (5 x+3)^2}-\frac{60 \log (1-2 x)}{14641}+\frac{60 \log (5 x+3)}{14641}",1,"4/(1331*(1 - 2*x)) - 5/(242*(3 + 5*x)^2) - 20/(1331*(3 + 5*x)) - (60*Log[1 - 2*x])/14641 + (60*Log[3 + 5*x])/14641","A",2,1,15,0.06667,1,"{44}"
1626,1,64,0,0.0304716,"\int \frac{1}{(1-2 x)^2 (2+3 x) (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)*(3 + 5*x)^3),x]","\frac{8}{9317 (1-2 x)}+\frac{725}{1331 (5 x+3)}-\frac{25}{242 (5 x+3)^2}-\frac{1104 \log (1-2 x)}{717409}-\frac{81}{49} \log (3 x+2)+\frac{24225 \log (5 x+3)}{14641}","\frac{8}{9317 (1-2 x)}+\frac{725}{1331 (5 x+3)}-\frac{25}{242 (5 x+3)^2}-\frac{1104 \log (1-2 x)}{717409}-\frac{81}{49} \log (3 x+2)+\frac{24225 \log (5 x+3)}{14641}",1,"8/(9317*(1 - 2*x)) - 25/(242*(3 + 5*x)^2) + 725/(1331*(3 + 5*x)) - (1104*Log[1 - 2*x])/717409 - (81*Log[2 + 3*x])/49 + (24225*Log[3 + 5*x])/14641","A",2,1,22,0.04545,1,"{88}"
1627,1,75,0,0.0376286,"\int \frac{1}{(1-2 x)^2 (2+3 x)^2 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)^2*(3 + 5*x)^3),x]","\frac{16}{65219 (1-2 x)}+\frac{81}{49 (3 x+2)}+\frac{7750}{1331 (5 x+3)}-\frac{125}{242 (5 x+3)^2}-\frac{2736 \log (1-2 x)}{5021863}-\frac{8829}{343} \log (3 x+2)+\frac{376875 \log (5 x+3)}{14641}","\frac{16}{65219 (1-2 x)}+\frac{81}{49 (3 x+2)}+\frac{7750}{1331 (5 x+3)}-\frac{125}{242 (5 x+3)^2}-\frac{2736 \log (1-2 x)}{5021863}-\frac{8829}{343} \log (3 x+2)+\frac{376875 \log (5 x+3)}{14641}",1,"16/(65219*(1 - 2*x)) + 81/(49*(2 + 3*x)) - 125/(242*(3 + 5*x)^2) + 7750/(1331*(3 + 5*x)) - (2736*Log[1 - 2*x])/5021863 - (8829*Log[2 + 3*x])/343 + (376875*Log[3 + 5*x])/14641","A",2,1,22,0.04545,1,"{88}"
1628,1,86,0,0.0435486,"\int \frac{1}{(1-2 x)^2 (2+3 x)^3 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)^3*(3 + 5*x)^3),x]","\frac{32}{456533 (1-2 x)}+\frac{8829}{343 (3 x+2)}+\frac{59375}{1331 (5 x+3)}+\frac{81}{98 (3 x+2)^2}-\frac{625}{242 (5 x+3)^2}-\frac{6528 \log (1-2 x)}{35153041}-\frac{630342 \log (3 x+2)}{2401}+\frac{3843750 \log (5 x+3)}{14641}","\frac{32}{456533 (1-2 x)}+\frac{8829}{343 (3 x+2)}+\frac{59375}{1331 (5 x+3)}+\frac{81}{98 (3 x+2)^2}-\frac{625}{242 (5 x+3)^2}-\frac{6528 \log (1-2 x)}{35153041}-\frac{630342 \log (3 x+2)}{2401}+\frac{3843750 \log (5 x+3)}{14641}",1,"32/(456533*(1 - 2*x)) + 81/(98*(2 + 3*x)^2) + 8829/(343*(2 + 3*x)) - 625/(242*(3 + 5*x)^2) + 59375/(1331*(3 + 5*x)) - (6528*Log[1 - 2*x])/35153041 - (630342*Log[2 + 3*x])/2401 + (3843750*Log[3 + 5*x])/14641","A",2,1,22,0.04545,1,"{88}"
1629,1,97,0,0.053388,"\int \frac{1}{(1-2 x)^2 (2+3 x)^4 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^2*(2 + 3*x)^4*(3 + 5*x)^3),x]","\frac{64}{3195731 (1-2 x)}+\frac{630342}{2401 (3 x+2)}+\frac{400000}{1331 (5 x+3)}+\frac{8829}{686 (3 x+2)^2}-\frac{3125}{242 (5 x+3)^2}+\frac{27}{49 (3 x+2)^3}-\frac{15168 \log (1-2 x)}{246071287}-\frac{37214802 \log (3 x+2)}{16807}+\frac{32418750 \log (5 x+3)}{14641}","\frac{64}{3195731 (1-2 x)}+\frac{630342}{2401 (3 x+2)}+\frac{400000}{1331 (5 x+3)}+\frac{8829}{686 (3 x+2)^2}-\frac{3125}{242 (5 x+3)^2}+\frac{27}{49 (3 x+2)^3}-\frac{15168 \log (1-2 x)}{246071287}-\frac{37214802 \log (3 x+2)}{16807}+\frac{32418750 \log (5 x+3)}{14641}",1,"64/(3195731*(1 - 2*x)) + 27/(49*(2 + 3*x)^3) + 8829/(686*(2 + 3*x)^2) + 630342/(2401*(2 + 3*x)) - 3125/(242*(3 + 5*x)^2) + 400000/(1331*(3 + 5*x)) - (15168*Log[1 - 2*x])/246071287 - (37214802*Log[2 + 3*x])/16807 + (32418750*Log[3 + 5*x])/14641","A",2,1,22,0.04545,1,"{88}"
1630,1,80,0,0.0452482,"\int \frac{(2+3 x)^8 (3+5 x)}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^8*(3 + 5*x))/(1 - 2*x)^3,x]","-\frac{32805 x^7}{56}-\frac{162567 x^6}{32}-\frac{213597 x^5}{10}-\frac{7568235 x^4}{128}-\frac{16042509 x^3}{128}-\frac{118841283 x^2}{512}-\frac{120864213 x}{256}-\frac{246239357}{1024 (1-2 x)}+\frac{63412811}{2048 (1-2 x)^2}-\frac{106237047}{256} \log (1-2 x)","-\frac{32805 x^7}{56}-\frac{162567 x^6}{32}-\frac{213597 x^5}{10}-\frac{7568235 x^4}{128}-\frac{16042509 x^3}{128}-\frac{118841283 x^2}{512}-\frac{120864213 x}{256}-\frac{246239357}{1024 (1-2 x)}+\frac{63412811}{2048 (1-2 x)^2}-\frac{106237047}{256} \log (1-2 x)",1,"63412811/(2048*(1 - 2*x)^2) - 246239357/(1024*(1 - 2*x)) - (120864213*x)/256 - (118841283*x^2)/512 - (16042509*x^3)/128 - (7568235*x^4)/128 - (213597*x^5)/10 - (162567*x^6)/32 - (32805*x^7)/56 - (106237047*Log[1 - 2*x])/256","A",2,1,20,0.05000,1,"{77}"
1631,1,73,0,0.0401564,"\int \frac{(2+3 x)^7 (3+5 x)}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^7*(3 + 5*x))/(1 - 2*x)^3,x]","-\frac{3645 x^6}{16}-\frac{147987 x^5}{80}-\frac{235467 x^4}{32}-\frac{631611 x^3}{32}-\frac{10989621 x^2}{256}-\frac{24960933 x}{256}-\frac{15647317}{256 (1-2 x)}+\frac{9058973}{1024 (1-2 x)^2}-\frac{23647449}{256} \log (1-2 x)","-\frac{3645 x^6}{16}-\frac{147987 x^5}{80}-\frac{235467 x^4}{32}-\frac{631611 x^3}{32}-\frac{10989621 x^2}{256}-\frac{24960933 x}{256}-\frac{15647317}{256 (1-2 x)}+\frac{9058973}{1024 (1-2 x)^2}-\frac{23647449}{256} \log (1-2 x)",1,"9058973/(1024*(1 - 2*x)^2) - 15647317/(256*(1 - 2*x)) - (24960933*x)/256 - (10989621*x^2)/256 - (631611*x^3)/32 - (235467*x^4)/32 - (147987*x^5)/80 - (3645*x^6)/16 - (23647449*Log[1 - 2*x])/256","A",2,1,20,0.05000,1,"{77}"
1632,1,66,0,0.0350226,"\int \frac{(2+3 x)^6 (3+5 x)}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^6*(3 + 5*x))/(1 - 2*x)^3,x]","-\frac{729 x^5}{8}-\frac{44469 x^4}{64}-\frac{10611 x^3}{4}-\frac{461835 x^2}{64}-\frac{2431647 x}{128}-\frac{3916031}{256 (1-2 x)}+\frac{1294139}{512 (1-2 x)^2}-\frac{5078115}{256} \log (1-2 x)","-\frac{729 x^5}{8}-\frac{44469 x^4}{64}-\frac{10611 x^3}{4}-\frac{461835 x^2}{64}-\frac{2431647 x}{128}-\frac{3916031}{256 (1-2 x)}+\frac{1294139}{512 (1-2 x)^2}-\frac{5078115}{256} \log (1-2 x)",1,"1294139/(512*(1 - 2*x)^2) - 3916031/(256*(1 - 2*x)) - (2431647*x)/128 - (461835*x^2)/64 - (10611*x^3)/4 - (44469*x^4)/64 - (729*x^5)/8 - (5078115*Log[1 - 2*x])/256","A",2,1,20,0.05000,1,"{77}"
1633,1,59,0,0.0304676,"\int \frac{(2+3 x)^5 (3+5 x)}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^5*(3 + 5*x))/(1 - 2*x)^3,x]","-\frac{1215 x^4}{32}-\frac{4401 x^3}{16}-\frac{16821 x^2}{16}-\frac{109089 x}{32}-\frac{60025}{16 (1-2 x)}+\frac{184877}{256 (1-2 x)^2}-\frac{519645}{128} \log (1-2 x)","-\frac{1215 x^4}{32}-\frac{4401 x^3}{16}-\frac{16821 x^2}{16}-\frac{109089 x}{32}-\frac{60025}{16 (1-2 x)}+\frac{184877}{256 (1-2 x)^2}-\frac{519645}{128} \log (1-2 x)",1,"184877/(256*(1 - 2*x)^2) - 60025/(16*(1 - 2*x)) - (109089*x)/32 - (16821*x^2)/16 - (4401*x^3)/16 - (1215*x^4)/32 - (519645*Log[1 - 2*x])/128","A",2,1,20,0.05000,1,"{77}"
1634,1,50,0,0.0244445,"\int \frac{(2+3 x)^4 (3+5 x)}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^4*(3 + 5*x))/(1 - 2*x)^3,x]","-\frac{135 x^3}{8}-\frac{3861 x^2}{32}-540 x-\frac{57281}{64 (1-2 x)}+\frac{26411}{128 (1-2 x)^2}-\frac{24843}{32} \log (1-2 x)","-\frac{135 x^3}{8}-\frac{3861 x^2}{32}-540 x-\frac{57281}{64 (1-2 x)}+\frac{26411}{128 (1-2 x)^2}-\frac{24843}{32} \log (1-2 x)",1,"26411/(128*(1 - 2*x)^2) - 57281/(64*(1 - 2*x)) - 540*x - (3861*x^2)/32 - (135*x^3)/8 - (24843*Log[1 - 2*x])/32","A",2,1,20,0.05000,1,"{77}"
1635,1,45,0,0.0287393,"\int \frac{(2+3 x)^3 (3+5 x)}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^3*(3 + 5*x))/(1 - 2*x)^3,x]","-\frac{135 x^2}{16}-\frac{1107 x}{16}-\frac{3283}{16 (1-2 x)}+\frac{3773}{64 (1-2 x)^2}-\frac{1071}{8} \log (1-2 x)","-\frac{135 x^2}{16}-\frac{1107 x}{16}-\frac{3283}{16 (1-2 x)}+\frac{3773}{64 (1-2 x)^2}-\frac{1071}{8} \log (1-2 x)",1,"3773/(64*(1 - 2*x)^2) - 3283/(16*(1 - 2*x)) - (1107*x)/16 - (135*x^2)/16 - (1071*Log[1 - 2*x])/8","A",2,1,20,0.05000,1,"{77}"
1636,1,38,0,0.0277792,"\int \frac{(2+3 x)^2 (3+5 x)}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^2*(3 + 5*x))/(1 - 2*x)^3,x]","-\frac{45 x}{8}-\frac{707}{16 (1-2 x)}+\frac{539}{32 (1-2 x)^2}-\frac{309}{16} \log (1-2 x)","-\frac{45 x}{8}-\frac{707}{16 (1-2 x)}+\frac{539}{32 (1-2 x)^2}-\frac{309}{16} \log (1-2 x)",1,"539/(32*(1 - 2*x)^2) - 707/(16*(1 - 2*x)) - (45*x)/8 - (309*Log[1 - 2*x])/16","A",2,1,20,0.05000,1,"{77}"
1637,1,33,0,0.022907,"\int \frac{(2+3 x) (3+5 x)}{(1-2 x)^3} \, dx","Int[((2 + 3*x)*(3 + 5*x))/(1 - 2*x)^3,x]","-\frac{17}{2 (1-2 x)}+\frac{77}{16 (1-2 x)^2}-\frac{15}{8} \log (1-2 x)","-\frac{17}{2 (1-2 x)}+\frac{77}{16 (1-2 x)^2}-\frac{15}{8} \log (1-2 x)",1,"77/(16*(1 - 2*x)^2) - 17/(2*(1 - 2*x)) - (15*Log[1 - 2*x])/8","A",2,1,18,0.05556,1,"{77}"
1638,1,18,0,0.0022027,"\int \frac{3+5 x}{(1-2 x)^3} \, dx","Int[(3 + 5*x)/(1 - 2*x)^3,x]","\frac{(5 x+3)^2}{22 (1-2 x)^2}","\frac{(5 x+3)^2}{22 (1-2 x)^2}",1,"(3 + 5*x)^2/(22*(1 - 2*x)^2)","A",1,1,13,0.07692,1,"{37}"
1639,1,43,0,0.021647,"\int \frac{3+5 x}{(1-2 x)^3 (2+3 x)} \, dx","Int[(3 + 5*x)/((1 - 2*x)^3*(2 + 3*x)),x]","-\frac{1}{49 (1-2 x)}+\frac{11}{28 (1-2 x)^2}+\frac{3}{343} \log (1-2 x)-\frac{3}{343} \log (3 x+2)","-\frac{1}{49 (1-2 x)}+\frac{11}{28 (1-2 x)^2}+\frac{3}{343} \log (1-2 x)-\frac{3}{343} \log (3 x+2)",1,"11/(28*(1 - 2*x)^2) - 1/(49*(1 - 2*x)) + (3*Log[1 - 2*x])/343 - (3*Log[2 + 3*x])/343","A",2,1,20,0.05000,1,"{77}"
1640,1,54,0,0.0252361,"\int \frac{3+5 x}{(1-2 x)^3 (2+3 x)^2} \, dx","Int[(3 + 5*x)/((1 - 2*x)^3*(2 + 3*x)^2),x]","\frac{31}{343 (1-2 x)}+\frac{3}{343 (3 x+2)}+\frac{11}{98 (1-2 x)^2}-\frac{87 \log (1-2 x)}{2401}+\frac{87 \log (3 x+2)}{2401}","\frac{31}{343 (1-2 x)}+\frac{3}{343 (3 x+2)}+\frac{11}{98 (1-2 x)^2}-\frac{87 \log (1-2 x)}{2401}+\frac{87 \log (3 x+2)}{2401}",1,"11/(98*(1 - 2*x)^2) + 31/(343*(1 - 2*x)) + 3/(343*(2 + 3*x)) - (87*Log[1 - 2*x])/2401 + (87*Log[2 + 3*x])/2401","A",2,1,20,0.05000,1,"{77}"
1641,1,65,0,0.034599,"\int \frac{3+5 x}{(1-2 x)^3 (2+3 x)^3} \, dx","Int[(3 + 5*x)/((1 - 2*x)^3*(2 + 3*x)^3),x]","\frac{128}{2401 (1-2 x)}-\frac{87}{2401 (3 x+2)}+\frac{11}{343 (1-2 x)^2}+\frac{3}{686 (3 x+2)^2}-\frac{558 \log (1-2 x)}{16807}+\frac{558 \log (3 x+2)}{16807}","\frac{128}{2401 (1-2 x)}-\frac{87}{2401 (3 x+2)}+\frac{11}{343 (1-2 x)^2}+\frac{3}{686 (3 x+2)^2}-\frac{558 \log (1-2 x)}{16807}+\frac{558 \log (3 x+2)}{16807}",1,"11/(343*(1 - 2*x)^2) + 128/(2401*(1 - 2*x)) + 3/(686*(2 + 3*x)^2) - 87/(2401*(2 + 3*x)) - (558*Log[1 - 2*x])/16807 + (558*Log[2 + 3*x])/16807","A",2,1,20,0.05000,1,"{77}"
1642,1,76,0,0.0417642,"\int \frac{3+5 x}{(1-2 x)^3 (2+3 x)^4} \, dx","Int[(3 + 5*x)/((1 - 2*x)^3*(2 + 3*x)^4),x]","\frac{388}{16807 (1-2 x)}-\frac{558}{16807 (3 x+2)}+\frac{22}{2401 (1-2 x)^2}-\frac{87}{4802 (3 x+2)^2}+\frac{1}{343 (3 x+2)^3}-\frac{2280 \log (1-2 x)}{117649}+\frac{2280 \log (3 x+2)}{117649}","\frac{388}{16807 (1-2 x)}-\frac{558}{16807 (3 x+2)}+\frac{22}{2401 (1-2 x)^2}-\frac{87}{4802 (3 x+2)^2}+\frac{1}{343 (3 x+2)^3}-\frac{2280 \log (1-2 x)}{117649}+\frac{2280 \log (3 x+2)}{117649}",1,"22/(2401*(1 - 2*x)^2) + 388/(16807*(1 - 2*x)) + 1/(343*(2 + 3*x)^3) - 87/(4802*(2 + 3*x)^2) - 558/(16807*(2 + 3*x)) - (2280*Log[1 - 2*x])/117649 + (2280*Log[2 + 3*x])/117649","A",2,1,20,0.05000,1,"{77}"
1643,1,87,0,0.0456044,"\int \frac{3+5 x}{(1-2 x)^3 (2+3 x)^5} \, dx","Int[(3 + 5*x)/((1 - 2*x)^3*(2 + 3*x)^5),x]","\frac{1040}{117649 (1-2 x)}-\frac{2280}{117649 (3 x+2)}+\frac{44}{16807 (1-2 x)^2}-\frac{279}{16807 (3 x+2)^2}-\frac{29}{2401 (3 x+2)^3}+\frac{3}{1372 (3 x+2)^4}-\frac{7680 \log (1-2 x)}{823543}+\frac{7680 \log (3 x+2)}{823543}","\frac{1040}{117649 (1-2 x)}-\frac{2280}{117649 (3 x+2)}+\frac{44}{16807 (1-2 x)^2}-\frac{279}{16807 (3 x+2)^2}-\frac{29}{2401 (3 x+2)^3}+\frac{3}{1372 (3 x+2)^4}-\frac{7680 \log (1-2 x)}{823543}+\frac{7680 \log (3 x+2)}{823543}",1,"44/(16807*(1 - 2*x)^2) + 1040/(117649*(1 - 2*x)) + 3/(1372*(2 + 3*x)^4) - 29/(2401*(2 + 3*x)^3) - 279/(16807*(2 + 3*x)^2) - 2280/(117649*(2 + 3*x)) - (7680*Log[1 - 2*x])/823543 + (7680*Log[2 + 3*x])/823543","A",2,1,20,0.05000,1,"{77}"
1644,1,98,0,0.0523372,"\int \frac{3+5 x}{(1-2 x)^3 (2+3 x)^6} \, dx","Int[(3 + 5*x)/((1 - 2*x)^3*(2 + 3*x)^6),x]","\frac{2608}{823543 (1-2 x)}-\frac{7680}{823543 (3 x+2)}+\frac{88}{117649 (1-2 x)^2}-\frac{1140}{117649 (3 x+2)^2}-\frac{186}{16807 (3 x+2)^3}-\frac{87}{9604 (3 x+2)^4}+\frac{3}{1715 (3 x+2)^5}-\frac{3312 \log (1-2 x)}{823543}+\frac{3312 \log (3 x+2)}{823543}","\frac{2608}{823543 (1-2 x)}-\frac{7680}{823543 (3 x+2)}+\frac{88}{117649 (1-2 x)^2}-\frac{1140}{117649 (3 x+2)^2}-\frac{186}{16807 (3 x+2)^3}-\frac{87}{9604 (3 x+2)^4}+\frac{3}{1715 (3 x+2)^5}-\frac{3312 \log (1-2 x)}{823543}+\frac{3312 \log (3 x+2)}{823543}",1,"88/(117649*(1 - 2*x)^2) + 2608/(823543*(1 - 2*x)) + 3/(1715*(2 + 3*x)^5) - 87/(9604*(2 + 3*x)^4) - 186/(16807*(2 + 3*x)^3) - 1140/(117649*(2 + 3*x)^2) - 7680/(823543*(2 + 3*x)) - (3312*Log[1 - 2*x])/823543 + (3312*Log[2 + 3*x])/823543","A",2,1,20,0.05000,1,"{77}"
1645,1,80,0,0.0462969,"\int \frac{(2+3 x)^7 (3+5 x)^2}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^7*(3 + 5*x)^2)/(1 - 2*x)^3,x]","-\frac{54675 x^7}{56}-\frac{268515 x^6}{32}-\frac{2798631 x^5}{80}-\frac{12299769 x^4}{128}-\frac{25895367 x^3}{128}-\frac{190742391 x^2}{512}-\frac{48280011 x}{64}-\frac{389535839}{1024 (1-2 x)}+\frac{99648703}{2048 (1-2 x)^2}-\frac{84589631}{128} \log (1-2 x)","-\frac{54675 x^7}{56}-\frac{268515 x^6}{32}-\frac{2798631 x^5}{80}-\frac{12299769 x^4}{128}-\frac{25895367 x^3}{128}-\frac{190742391 x^2}{512}-\frac{48280011 x}{64}-\frac{389535839}{1024 (1-2 x)}+\frac{99648703}{2048 (1-2 x)^2}-\frac{84589631}{128} \log (1-2 x)",1,"99648703/(2048*(1 - 2*x)^2) - 389535839/(1024*(1 - 2*x)) - (48280011*x)/64 - (190742391*x^2)/512 - (25895367*x^3)/128 - (12299769*x^4)/128 - (2798631*x^5)/80 - (268515*x^6)/32 - (54675*x^7)/56 - (84589631*Log[1 - 2*x])/128","A",2,1,22,0.04545,1,"{88}"
1646,1,73,0,0.0399722,"\int \frac{(2+3 x)^6 (3+5 x)^2}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^6*(3 + 5*x)^2)/(1 - 2*x)^3,x]","-\frac{6075 x^6}{16}-\frac{48843 x^5}{16}-\frac{770067 x^4}{64}-\frac{1024389 x^3}{32}-\frac{17700255 x^2}{256}-\frac{39980457 x}{256}-\frac{12386759}{128 (1-2 x)}+\frac{14235529}{1024 (1-2 x)^2}-\frac{18859855}{128} \log (1-2 x)","-\frac{6075 x^6}{16}-\frac{48843 x^5}{16}-\frac{770067 x^4}{64}-\frac{1024389 x^3}{32}-\frac{17700255 x^2}{256}-\frac{39980457 x}{256}-\frac{12386759}{128 (1-2 x)}+\frac{14235529}{1024 (1-2 x)^2}-\frac{18859855}{128} \log (1-2 x)",1,"14235529/(1024*(1 - 2*x)^2) - 12386759/(128*(1 - 2*x)) - (39980457*x)/256 - (17700255*x^2)/256 - (1024389*x^3)/32 - (770067*x^4)/64 - (48843*x^5)/16 - (6075*x^6)/16 - (18859855*Log[1 - 2*x])/128","A",2,1,22,0.04545,1,"{88}"
1647,1,66,0,0.0353387,"\int \frac{(2+3 x)^5 (3+5 x)^2}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^5*(3 + 5*x)^2)/(1 - 2*x)^3,x]","-\frac{1215 x^5}{8}-\frac{73305 x^4}{64}-\frac{69273 x^3}{16}-\frac{747297 x^2}{64}-\frac{3907293 x}{128}-\frac{6206585}{256 (1-2 x)}+\frac{2033647}{512 (1-2 x)^2}-\frac{8117095}{256} \log (1-2 x)","-\frac{1215 x^5}{8}-\frac{73305 x^4}{64}-\frac{69273 x^3}{16}-\frac{747297 x^2}{64}-\frac{3907293 x}{128}-\frac{6206585}{256 (1-2 x)}+\frac{2033647}{512 (1-2 x)^2}-\frac{8117095}{256} \log (1-2 x)",1,"2033647/(512*(1 - 2*x)^2) - 6206585/(256*(1 - 2*x)) - (3907293*x)/128 - (747297*x^2)/64 - (69273*x^3)/16 - (73305*x^4)/64 - (1215*x^5)/8 - (8117095*Log[1 - 2*x])/256","A",2,1,22,0.04545,1,"{88}"
1648,1,59,0,0.0285873,"\int \frac{(2+3 x)^4 (3+5 x)^2}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^2)/(1 - 2*x)^3,x]","-\frac{2025 x^4}{32}-\frac{7245 x^3}{16}-\frac{54783 x^2}{32}-\frac{176055 x}{32}-\frac{381073}{64 (1-2 x)}+\frac{290521}{256 (1-2 x)^2}-\frac{832951}{128} \log (1-2 x)","-\frac{2025 x^4}{32}-\frac{7245 x^3}{16}-\frac{54783 x^2}{32}-\frac{176055 x}{32}-\frac{381073}{64 (1-2 x)}+\frac{290521}{256 (1-2 x)^2}-\frac{832951}{128} \log (1-2 x)",1,"290521/(256*(1 - 2*x)^2) - 381073/(64*(1 - 2*x)) - (176055*x)/32 - (54783*x^2)/32 - (7245*x^3)/16 - (2025*x^4)/32 - (832951*Log[1 - 2*x])/128","A",2,1,22,0.04545,1,"{88}"
1649,1,52,0,0.0245302,"\int \frac{(2+3 x)^3 (3+5 x)^2}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^2)/(1 - 2*x)^3,x]","-\frac{225 x^3}{8}-\frac{6345 x^2}{32}-\frac{14031 x}{16}-\frac{91091}{64 (1-2 x)}+\frac{41503}{128 (1-2 x)^2}-\frac{39977}{32} \log (1-2 x)","-\frac{225 x^3}{8}-\frac{6345 x^2}{32}-\frac{14031 x}{16}-\frac{91091}{64 (1-2 x)}+\frac{41503}{128 (1-2 x)^2}-\frac{39977}{32} \log (1-2 x)",1,"41503/(128*(1 - 2*x)^2) - 91091/(64*(1 - 2*x)) - (14031*x)/16 - (6345*x^2)/32 - (225*x^3)/8 - (39977*Log[1 - 2*x])/32","A",2,1,22,0.04545,1,"{88}"
1650,1,45,0,0.0212203,"\int \frac{(2+3 x)^2 (3+5 x)^2}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^2)/(1 - 2*x)^3,x]","-\frac{225 x^2}{16}-\frac{1815 x}{16}-\frac{1309}{4 (1-2 x)}+\frac{5929}{64 (1-2 x)^2}-\frac{3467}{16} \log (1-2 x)","-\frac{225 x^2}{16}-\frac{1815 x}{16}-\frac{1309}{4 (1-2 x)}+\frac{5929}{64 (1-2 x)^2}-\frac{3467}{16} \log (1-2 x)",1,"5929/(64*(1 - 2*x)^2) - 1309/(4*(1 - 2*x)) - (1815*x)/16 - (225*x^2)/16 - (3467*Log[1 - 2*x])/16","A",2,1,22,0.04545,1,"{88}"
1651,1,38,0,0.0153867,"\int \frac{(2+3 x) (3+5 x)^2}{(1-2 x)^3} \, dx","Int[((2 + 3*x)*(3 + 5*x)^2)/(1 - 2*x)^3,x]","-\frac{75 x}{8}-\frac{1133}{16 (1-2 x)}+\frac{847}{32 (1-2 x)^2}-\frac{505}{16} \log (1-2 x)","-\frac{75 x}{8}-\frac{1133}{16 (1-2 x)}+\frac{847}{32 (1-2 x)^2}-\frac{505}{16} \log (1-2 x)",1,"847/(32*(1 - 2*x)^2) - 1133/(16*(1 - 2*x)) - (75*x)/8 - (505*Log[1 - 2*x])/16","A",2,1,20,0.05000,1,"{77}"
1652,1,33,0,0.012367,"\int \frac{(3+5 x)^2}{(1-2 x)^3} \, dx","Int[(3 + 5*x)^2/(1 - 2*x)^3,x]","-\frac{55}{4 (1-2 x)}+\frac{121}{16 (1-2 x)^2}-\frac{25}{8} \log (1-2 x)","-\frac{55}{4 (1-2 x)}+\frac{121}{16 (1-2 x)^2}-\frac{25}{8} \log (1-2 x)",1,"121/(16*(1 - 2*x)^2) - 55/(4*(1 - 2*x)) - (25*Log[1 - 2*x])/8","A",2,1,15,0.06667,1,"{43}"
1653,1,43,0,0.017587,"\int \frac{(3+5 x)^2}{(1-2 x)^3 (2+3 x)} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^3*(2 + 3*x)),x]","-\frac{407}{196 (1-2 x)}+\frac{121}{56 (1-2 x)^2}-\frac{1}{343} \log (1-2 x)+\frac{1}{343} \log (3 x+2)","-\frac{407}{196 (1-2 x)}+\frac{121}{56 (1-2 x)^2}-\frac{1}{343} \log (1-2 x)+\frac{1}{343} \log (3 x+2)",1,"121/(56*(1 - 2*x)^2) - 407/(196*(1 - 2*x)) - Log[1 - 2*x]/343 + Log[2 + 3*x]/343","A",2,1,22,0.04545,1,"{88}"
1654,1,54,0,0.0237,"\int \frac{(3+5 x)^2}{(1-2 x)^3 (2+3 x)^2} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^3*(2 + 3*x)^2),x]","-\frac{22}{343 (1-2 x)}-\frac{1}{343 (3 x+2)}+\frac{121}{196 (1-2 x)^2}+\frac{64 \log (1-2 x)}{2401}-\frac{64 \log (3 x+2)}{2401}","-\frac{22}{343 (1-2 x)}-\frac{1}{343 (3 x+2)}+\frac{121}{196 (1-2 x)^2}+\frac{64 \log (1-2 x)}{2401}-\frac{64 \log (3 x+2)}{2401}",1,"121/(196*(1 - 2*x)^2) - 22/(343*(1 - 2*x)) - 1/(343*(2 + 3*x)) + (64*Log[1 - 2*x])/2401 - (64*Log[2 + 3*x])/2401","A",2,1,22,0.04545,1,"{88}"
1655,1,65,0,0.0374913,"\int \frac{(3+5 x)^2}{(1-2 x)^3 (2+3 x)^3} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^3*(2 + 3*x)^3),x]","\frac{319}{2401 (1-2 x)}+\frac{64}{2401 (3 x+2)}+\frac{121}{686 (1-2 x)^2}-\frac{1}{686 (3 x+2)^2}-\frac{829 \log (1-2 x)}{16807}+\frac{829 \log (3 x+2)}{16807}","\frac{319}{2401 (1-2 x)}+\frac{64}{2401 (3 x+2)}+\frac{121}{686 (1-2 x)^2}-\frac{1}{686 (3 x+2)^2}-\frac{829 \log (1-2 x)}{16807}+\frac{829 \log (3 x+2)}{16807}",1,"121/(686*(1 - 2*x)^2) + 319/(2401*(1 - 2*x)) - 1/(686*(2 + 3*x)^2) + 64/(2401*(2 + 3*x)) - (829*Log[1 - 2*x])/16807 + (829*Log[2 + 3*x])/16807","A",2,1,22,0.04545,1,"{88}"
1656,1,76,0,0.0382317,"\int \frac{(3+5 x)^2}{(1-2 x)^3 (2+3 x)^4} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^3*(2 + 3*x)^4),x]","\frac{1364}{16807 (1-2 x)}-\frac{829}{16807 (3 x+2)}+\frac{121}{2401 (1-2 x)^2}+\frac{32}{2401 (3 x+2)^2}-\frac{1}{1029 (3 x+2)^3}-\frac{5750 \log (1-2 x)}{117649}+\frac{5750 \log (3 x+2)}{117649}","\frac{1364}{16807 (1-2 x)}-\frac{829}{16807 (3 x+2)}+\frac{121}{2401 (1-2 x)^2}+\frac{32}{2401 (3 x+2)^2}-\frac{1}{1029 (3 x+2)^3}-\frac{5750 \log (1-2 x)}{117649}+\frac{5750 \log (3 x+2)}{117649}",1,"121/(2401*(1 - 2*x)^2) + 1364/(16807*(1 - 2*x)) - 1/(1029*(2 + 3*x)^3) + 32/(2401*(2 + 3*x)^2) - 829/(16807*(2 + 3*x)) - (5750*Log[1 - 2*x])/117649 + (5750*Log[2 + 3*x])/117649","A",2,1,22,0.04545,1,"{88}"
1657,1,87,0,0.0441871,"\int \frac{(3+5 x)^2}{(1-2 x)^3 (2+3 x)^5} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^3*(2 + 3*x)^5),x]","\frac{4180}{117649 (1-2 x)}-\frac{5750}{117649 (3 x+2)}+\frac{242}{16807 (1-2 x)^2}-\frac{829}{33614 (3 x+2)^2}+\frac{64}{7203 (3 x+2)^3}-\frac{1}{1372 (3 x+2)^4}-\frac{24040 \log (1-2 x)}{823543}+\frac{24040 \log (3 x+2)}{823543}","\frac{4180}{117649 (1-2 x)}-\frac{5750}{117649 (3 x+2)}+\frac{242}{16807 (1-2 x)^2}-\frac{829}{33614 (3 x+2)^2}+\frac{64}{7203 (3 x+2)^3}-\frac{1}{1372 (3 x+2)^4}-\frac{24040 \log (1-2 x)}{823543}+\frac{24040 \log (3 x+2)}{823543}",1,"242/(16807*(1 - 2*x)^2) + 4180/(117649*(1 - 2*x)) - 1/(1372*(2 + 3*x)^4) + 64/(7203*(2 + 3*x)^3) - 829/(33614*(2 + 3*x)^2) - 5750/(117649*(2 + 3*x)) - (24040*Log[1 - 2*x])/823543 + (24040*Log[2 + 3*x])/823543","A",2,1,22,0.04545,1,"{88}"
1658,1,98,0,0.0511099,"\int \frac{(3+5 x)^2}{(1-2 x)^3 (2+3 x)^6} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^3*(2 + 3*x)^6),x]","\frac{11264}{823543 (1-2 x)}-\frac{24040}{823543 (3 x+2)}+\frac{484}{117649 (1-2 x)^2}-\frac{2875}{117649 (3 x+2)^2}-\frac{829}{50421 (3 x+2)^3}+\frac{16}{2401 (3 x+2)^4}-\frac{1}{1715 (3 x+2)^5}-\frac{11696 \log (1-2 x)}{823543}+\frac{11696 \log (3 x+2)}{823543}","\frac{11264}{823543 (1-2 x)}-\frac{24040}{823543 (3 x+2)}+\frac{484}{117649 (1-2 x)^2}-\frac{2875}{117649 (3 x+2)^2}-\frac{829}{50421 (3 x+2)^3}+\frac{16}{2401 (3 x+2)^4}-\frac{1}{1715 (3 x+2)^5}-\frac{11696 \log (1-2 x)}{823543}+\frac{11696 \log (3 x+2)}{823543}",1,"484/(117649*(1 - 2*x)^2) + 11264/(823543*(1 - 2*x)) - 1/(1715*(2 + 3*x)^5) + 16/(2401*(2 + 3*x)^4) - 829/(50421*(2 + 3*x)^3) - 2875/(117649*(2 + 3*x)^2) - 24040/(823543*(2 + 3*x)) - (11696*Log[1 - 2*x])/823543 + (11696*Log[2 + 3*x])/823543","A",2,1,22,0.04545,1,"{88}"
1659,1,80,0,0.0454977,"\int \frac{(2+3 x)^6 (3+5 x)^3}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^6*(3 + 5*x)^3)/(1 - 2*x)^3,x]","-\frac{91125 x^7}{56}-\frac{443475 x^6}{32}-\frac{229149 x^5}{4}-\frac{19986237 x^4}{128}-\frac{41793093 x^3}{128}-\frac{306103815 x^2}{512}-\frac{308539921 x}{256}-\frac{616195041}{1024 (1-2 x)}+\frac{156590819}{2048 (1-2 x)^2}-\frac{33674025}{32} \log (1-2 x)","-\frac{91125 x^7}{56}-\frac{443475 x^6}{32}-\frac{229149 x^5}{4}-\frac{19986237 x^4}{128}-\frac{41793093 x^3}{128}-\frac{306103815 x^2}{512}-\frac{308539921 x}{256}-\frac{616195041}{1024 (1-2 x)}+\frac{156590819}{2048 (1-2 x)^2}-\frac{33674025}{32} \log (1-2 x)",1,"156590819/(2048*(1 - 2*x)^2) - 616195041/(1024*(1 - 2*x)) - (308539921*x)/256 - (306103815*x^2)/512 - (41793093*x^3)/128 - (19986237*x^4)/128 - (229149*x^5)/4 - (443475*x^6)/32 - (91125*x^7)/56 - (33674025*Log[1 - 2*x])/32","A",2,1,22,0.04545,1,"{88}"
1660,1,73,0,0.0382232,"\int \frac{(2+3 x)^5 (3+5 x)^3}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^5*(3 + 5*x)^3)/(1 - 2*x)^3,x]","-\frac{10125 x^6}{16}-\frac{80595 x^5}{16}-\frac{629505 x^4}{32}-\frac{1661133 x^3}{32}-\frac{28504029 x^2}{256}-\frac{64029233 x}{256}-\frac{39220335}{256 (1-2 x)}+\frac{22370117}{1024 (1-2 x)^2}-\frac{60160485}{256} \log (1-2 x)","-\frac{10125 x^6}{16}-\frac{80595 x^5}{16}-\frac{629505 x^4}{32}-\frac{1661133 x^3}{32}-\frac{28504029 x^2}{256}-\frac{64029233 x}{256}-\frac{39220335}{256 (1-2 x)}+\frac{22370117}{1024 (1-2 x)^2}-\frac{60160485}{256} \log (1-2 x)",1,"22370117/(1024*(1 - 2*x)^2) - 39220335/(256*(1 - 2*x)) - (64029233*x)/256 - (28504029*x^2)/256 - (1661133*x^3)/32 - (629505*x^4)/32 - (80595*x^5)/16 - (10125*x^6)/16 - (60160485*Log[1 - 2*x])/256","A",2,1,22,0.04545,1,"{88}"
1661,1,64,0,0.033473,"\int \frac{(2+3 x)^4 (3+5 x)^3}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^3)/(1 - 2*x)^3,x]","-\frac{2025 x^5}{8}-\frac{120825 x^4}{64}-7065 x^3-\frac{1208973 x^2}{64}-\frac{6277415 x}{128}-\frac{9836211}{256 (1-2 x)}+\frac{3195731}{512 (1-2 x)^2}-\frac{12973191}{256} \log (1-2 x)","-\frac{2025 x^5}{8}-\frac{120825 x^4}{64}-7065 x^3-\frac{1208973 x^2}{64}-\frac{6277415 x}{128}-\frac{9836211}{256 (1-2 x)}+\frac{3195731}{512 (1-2 x)^2}-\frac{12973191}{256} \log (1-2 x)",1,"3195731/(512*(1 - 2*x)^2) - 9836211/(256*(1 - 2*x)) - (6277415*x)/128 - (1208973*x^2)/64 - 7065*x^3 - (120825*x^4)/64 - (2025*x^5)/8 - (12973191*Log[1 - 2*x])/256","A",2,1,22,0.04545,1,"{88}"
1662,1,59,0,0.0305795,"\int \frac{(2+3 x)^3 (3+5 x)^3}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^3)/(1 - 2*x)^3,x]","-\frac{3375 x^4}{32}-\frac{11925 x^3}{16}-\frac{44595 x^2}{16}-\frac{284071 x}{32}-\frac{302379}{32 (1-2 x)}+\frac{456533}{256 (1-2 x)^2}-\frac{1334949}{128} \log (1-2 x)","-\frac{3375 x^4}{32}-\frac{11925 x^3}{16}-\frac{44595 x^2}{16}-\frac{284071 x}{32}-\frac{302379}{32 (1-2 x)}+\frac{456533}{256 (1-2 x)^2}-\frac{1334949}{128} \log (1-2 x)",1,"456533/(256*(1 - 2*x)^2) - 302379/(32*(1 - 2*x)) - (284071*x)/32 - (44595*x^2)/16 - (11925*x^3)/16 - (3375*x^4)/32 - (1334949*Log[1 - 2*x])/128","A",2,1,22,0.04545,1,"{88}"
1663,1,52,0,0.0269712,"\int \frac{(2+3 x)^2 (3+5 x)^3}{(1-2 x)^3} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^3)/(1 - 2*x)^3,x]","-\frac{375 x^3}{8}-\frac{10425 x^2}{32}-\frac{5695 x}{4}-\frac{144837}{64 (1-2 x)}+\frac{65219}{128 (1-2 x)^2}-\frac{64317}{32} \log (1-2 x)","-\frac{375 x^3}{8}-\frac{10425 x^2}{32}-\frac{5695 x}{4}-\frac{144837}{64 (1-2 x)}+\frac{65219}{128 (1-2 x)^2}-\frac{64317}{32} \log (1-2 x)",1,"65219/(128*(1 - 2*x)^2) - 144837/(64*(1 - 2*x)) - (5695*x)/4 - (10425*x^2)/32 - (375*x^3)/8 - (64317*Log[1 - 2*x])/32","A",2,1,22,0.04545,1,"{88}"
1664,1,45,0,0.0209593,"\int \frac{(2+3 x) (3+5 x)^3}{(1-2 x)^3} \, dx","Int[((2 + 3*x)*(3 + 5*x)^3)/(1 - 2*x)^3,x]","-\frac{375 x^2}{16}-\frac{2975 x}{16}-\frac{8349}{16 (1-2 x)}+\frac{9317}{64 (1-2 x)^2}-\frac{2805}{8} \log (1-2 x)","-\frac{375 x^2}{16}-\frac{2975 x}{16}-\frac{8349}{16 (1-2 x)}+\frac{9317}{64 (1-2 x)^2}-\frac{2805}{8} \log (1-2 x)",1,"9317/(64*(1 - 2*x)^2) - 8349/(16*(1 - 2*x)) - (2975*x)/16 - (375*x^2)/16 - (2805*Log[1 - 2*x])/8","A",2,1,20,0.05000,1,"{77}"
1665,1,38,0,0.0157222,"\int \frac{(3+5 x)^3}{(1-2 x)^3} \, dx","Int[(3 + 5*x)^3/(1 - 2*x)^3,x]","-\frac{125 x}{8}-\frac{1815}{16 (1-2 x)}+\frac{1331}{32 (1-2 x)^2}-\frac{825}{16} \log (1-2 x)","-\frac{125 x}{8}-\frac{1815}{16 (1-2 x)}+\frac{1331}{32 (1-2 x)^2}-\frac{825}{16} \log (1-2 x)",1,"1331/(32*(1 - 2*x)^2) - 1815/(16*(1 - 2*x)) - (125*x)/8 - (825*Log[1 - 2*x])/16","A",2,1,15,0.06667,1,"{43}"
1666,1,43,0,0.0180265,"\int \frac{(3+5 x)^3}{(1-2 x)^3 (2+3 x)} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^3*(2 + 3*x)),x]","-\frac{1089}{49 (1-2 x)}+\frac{1331}{112 (1-2 x)^2}-\frac{14289 \log (1-2 x)}{2744}-\frac{\log (3 x+2)}{1029}","-\frac{1089}{49 (1-2 x)}+\frac{1331}{112 (1-2 x)^2}-\frac{14289 \log (1-2 x)}{2744}-\frac{\log (3 x+2)}{1029}",1,"1331/(112*(1 - 2*x)^2) - 1089/(49*(1 - 2*x)) - (14289*Log[1 - 2*x])/2744 - Log[2 + 3*x]/1029","A",2,1,22,0.04545,1,"{88}"
1667,1,54,0,0.0239914,"\int \frac{(3+5 x)^3}{(1-2 x)^3 (2+3 x)^2} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^3*(2 + 3*x)^2),x]","-\frac{4719}{1372 (1-2 x)}+\frac{1}{1029 (3 x+2)}+\frac{1331}{392 (1-2 x)^2}-\frac{33 \log (1-2 x)}{2401}+\frac{33 \log (3 x+2)}{2401}","-\frac{4719}{1372 (1-2 x)}+\frac{1}{1029 (3 x+2)}+\frac{1331}{392 (1-2 x)^2}-\frac{33 \log (1-2 x)}{2401}+\frac{33 \log (3 x+2)}{2401}",1,"1331/(392*(1 - 2*x)^2) - 4719/(1372*(1 - 2*x)) + 1/(1029*(2 + 3*x)) - (33*Log[1 - 2*x])/2401 + (33*Log[2 + 3*x])/2401","A",2,1,22,0.04545,1,"{88}"
1668,1,65,0,0.028958,"\int \frac{(3+5 x)^3}{(1-2 x)^3 (2+3 x)^3} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^3*(2 + 3*x)^3),x]","-\frac{363}{2401 (1-2 x)}-\frac{33}{2401 (3 x+2)}+\frac{1331}{1372 (1-2 x)^2}+\frac{1}{2058 (3 x+2)^2}+\frac{1023 \log (1-2 x)}{16807}-\frac{1023 \log (3 x+2)}{16807}","-\frac{363}{2401 (1-2 x)}-\frac{33}{2401 (3 x+2)}+\frac{1331}{1372 (1-2 x)^2}+\frac{1}{2058 (3 x+2)^2}+\frac{1023 \log (1-2 x)}{16807}-\frac{1023 \log (3 x+2)}{16807}",1,"1331/(1372*(1 - 2*x)^2) - 363/(2401*(1 - 2*x)) + 1/(2058*(2 + 3*x)^2) - 33/(2401*(2 + 3*x)) + (1023*Log[1 - 2*x])/16807 - (1023*Log[2 + 3*x])/16807","A",2,1,22,0.04545,1,"{88}"
1669,1,76,0,0.0356651,"\int \frac{(3+5 x)^3}{(1-2 x)^3 (2+3 x)^4} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^3*(2 + 3*x)^4),x]","\frac{3267}{16807 (1-2 x)}+\frac{1023}{16807 (3 x+2)}+\frac{1331}{4802 (1-2 x)^2}-\frac{33}{4802 (3 x+2)^2}+\frac{1}{3087 (3 x+2)^3}-\frac{7755 \log (1-2 x)}{117649}+\frac{7755 \log (3 x+2)}{117649}","\frac{3267}{16807 (1-2 x)}+\frac{1023}{16807 (3 x+2)}+\frac{1331}{4802 (1-2 x)^2}-\frac{33}{4802 (3 x+2)^2}+\frac{1}{3087 (3 x+2)^3}-\frac{7755 \log (1-2 x)}{117649}+\frac{7755 \log (3 x+2)}{117649}",1,"1331/(4802*(1 - 2*x)^2) + 3267/(16807*(1 - 2*x)) + 1/(3087*(2 + 3*x)^3) - 33/(4802*(2 + 3*x)^2) + 1023/(16807*(2 + 3*x)) - (7755*Log[1 - 2*x])/117649 + (7755*Log[2 + 3*x])/117649","A",2,1,22,0.04545,1,"{88}"
1670,1,87,0,0.044184,"\int \frac{(3+5 x)^3}{(1-2 x)^3 (2+3 x)^5} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^3*(2 + 3*x)^5),x]","\frac{14520}{117649 (1-2 x)}-\frac{7755}{117649 (3 x+2)}+\frac{1331}{16807 (1-2 x)^2}+\frac{1023}{33614 (3 x+2)^2}-\frac{11}{2401 (3 x+2)^3}+\frac{1}{4116 (3 x+2)^4}-\frac{59070 \log (1-2 x)}{823543}+\frac{59070 \log (3 x+2)}{823543}","\frac{14520}{117649 (1-2 x)}-\frac{7755}{117649 (3 x+2)}+\frac{1331}{16807 (1-2 x)^2}+\frac{1023}{33614 (3 x+2)^2}-\frac{11}{2401 (3 x+2)^3}+\frac{1}{4116 (3 x+2)^4}-\frac{59070 \log (1-2 x)}{823543}+\frac{59070 \log (3 x+2)}{823543}",1,"1331/(16807*(1 - 2*x)^2) + 14520/(117649*(1 - 2*x)) + 1/(4116*(2 + 3*x)^4) - 11/(2401*(2 + 3*x)^3) + 1023/(33614*(2 + 3*x)^2) - 7755/(117649*(2 + 3*x)) - (59070*Log[1 - 2*x])/823543 + (59070*Log[2 + 3*x])/823543","A",2,1,22,0.04545,1,"{88}"
1671,1,76,0,0.0385941,"\int \frac{(2+3 x)^8}{(1-2 x)^3 (3+5 x)} \, dx","Int[(2 + 3*x)^8/((1 - 2*x)^3*(3 + 5*x)),x]","-\frac{6561 x^5}{200}-\frac{408969 x^4}{1600}-\frac{124416 x^3}{125}-\frac{110180817 x^2}{40000}-\frac{2941619571 x}{400000}-\frac{188591347}{30976 (1-2 x)}+\frac{5764801}{5632 (1-2 x)^2}-\frac{2644396573 \log (1-2 x)}{340736}+\frac{\log (5 x+3)}{20796875}","-\frac{6561 x^5}{200}-\frac{408969 x^4}{1600}-\frac{124416 x^3}{125}-\frac{110180817 x^2}{40000}-\frac{2941619571 x}{400000}-\frac{188591347}{30976 (1-2 x)}+\frac{5764801}{5632 (1-2 x)^2}-\frac{2644396573 \log (1-2 x)}{340736}+\frac{\log (5 x+3)}{20796875}",1,"5764801/(5632*(1 - 2*x)^2) - 188591347/(30976*(1 - 2*x)) - (2941619571*x)/400000 - (110180817*x^2)/40000 - (124416*x^3)/125 - (408969*x^4)/1600 - (6561*x^5)/200 - (2644396573*Log[1 - 2*x])/340736 + Log[3 + 5*x]/20796875","A",2,1,22,0.04545,1,"{88}"
1672,1,69,0,0.0342934,"\int \frac{(2+3 x)^7}{(1-2 x)^3 (3+5 x)} \, dx","Int[(2 + 3*x)^7/((1 - 2*x)^3*(3 + 5*x)),x]","-\frac{2187 x^4}{160}-\frac{40581 x^3}{400}-\frac{792423 x^2}{2000}-\frac{26161299 x}{20000}-\frac{5764801}{3872 (1-2 x)}+\frac{823543}{2816 (1-2 x)^2}-\frac{269063263 \log (1-2 x)}{170368}+\frac{\log (5 x+3)}{4159375}","-\frac{2187 x^4}{160}-\frac{40581 x^3}{400}-\frac{792423 x^2}{2000}-\frac{26161299 x}{20000}-\frac{5764801}{3872 (1-2 x)}+\frac{823543}{2816 (1-2 x)^2}-\frac{269063263 \log (1-2 x)}{170368}+\frac{\log (5 x+3)}{4159375}",1,"823543/(2816*(1 - 2*x)^2) - 5764801/(3872*(1 - 2*x)) - (26161299*x)/20000 - (792423*x^2)/2000 - (40581*x^3)/400 - (2187*x^4)/160 - (269063263*Log[1 - 2*x])/170368 + Log[3 + 5*x]/4159375","A",2,1,22,0.04545,1,"{88}"
1673,1,62,0,0.0296764,"\int \frac{(2+3 x)^6}{(1-2 x)^3 (3+5 x)} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)^3*(3 + 5*x)),x]","-\frac{243 x^3}{40}-\frac{35721 x^2}{800}-\frac{102303 x}{500}-\frac{2739541}{7744 (1-2 x)}+\frac{117649}{1408 (1-2 x)^2}-\frac{12761315 \log (1-2 x)}{42592}+\frac{\log (5 x+3)}{831875}","-\frac{243 x^3}{40}-\frac{35721 x^2}{800}-\frac{102303 x}{500}-\frac{2739541}{7744 (1-2 x)}+\frac{117649}{1408 (1-2 x)^2}-\frac{12761315 \log (1-2 x)}{42592}+\frac{\log (5 x+3)}{831875}",1,"117649/(1408*(1 - 2*x)^2) - 2739541/(7744*(1 - 2*x)) - (102303*x)/500 - (35721*x^2)/800 - (243*x^3)/40 - (12761315*Log[1 - 2*x])/42592 + Log[3 + 5*x]/831875","A",2,1,22,0.04545,1,"{88}"
1674,1,55,0,0.0278863,"\int \frac{(2+3 x)^5}{(1-2 x)^3 (3+5 x)} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^3*(3 + 5*x)),x]","-\frac{243 x^2}{80}-\frac{10287 x}{400}-\frac{156065}{1936 (1-2 x)}+\frac{16807}{704 (1-2 x)^2}-\frac{543655 \log (1-2 x)}{10648}+\frac{\log (5 x+3)}{166375}","-\frac{243 x^2}{80}-\frac{10287 x}{400}-\frac{156065}{1936 (1-2 x)}+\frac{16807}{704 (1-2 x)^2}-\frac{543655 \log (1-2 x)}{10648}+\frac{\log (5 x+3)}{166375}",1,"16807/(704*(1 - 2*x)^2) - 156065/(1936*(1 - 2*x)) - (10287*x)/400 - (243*x^2)/80 - (543655*Log[1 - 2*x])/10648 + Log[3 + 5*x]/166375","A",2,1,22,0.04545,1,"{88}"
1675,1,48,0,0.0199077,"\int \frac{(2+3 x)^4}{(1-2 x)^3 (3+5 x)} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^3*(3 + 5*x)),x]","-\frac{81 x}{40}-\frac{33271}{1936 (1-2 x)}+\frac{2401}{352 (1-2 x)^2}-\frac{153811 \log (1-2 x)}{21296}+\frac{\log (5 x+3)}{33275}","-\frac{81 x}{40}-\frac{33271}{1936 (1-2 x)}+\frac{2401}{352 (1-2 x)^2}-\frac{153811 \log (1-2 x)}{21296}+\frac{\log (5 x+3)}{33275}",1,"2401/(352*(1 - 2*x)^2) - 33271/(1936*(1 - 2*x)) - (81*x)/40 - (153811*Log[1 - 2*x])/21296 + Log[3 + 5*x]/33275","A",2,1,22,0.04545,1,"{88}"
1676,1,43,0,0.0185592,"\int \frac{(2+3 x)^3}{(1-2 x)^3 (3+5 x)} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^3*(3 + 5*x)),x]","-\frac{392}{121 (1-2 x)}+\frac{343}{176 (1-2 x)^2}-\frac{7189 \log (1-2 x)}{10648}+\frac{\log (5 x+3)}{6655}","-\frac{392}{121 (1-2 x)}+\frac{343}{176 (1-2 x)^2}-\frac{7189 \log (1-2 x)}{10648}+\frac{\log (5 x+3)}{6655}",1,"343/(176*(1 - 2*x)^2) - 392/(121*(1 - 2*x)) - (7189*Log[1 - 2*x])/10648 + Log[3 + 5*x]/6655","A",2,1,22,0.04545,1,"{88}"
1677,1,43,0,0.0178942,"\int \frac{(2+3 x)^2}{(1-2 x)^3 (3+5 x)} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^3*(3 + 5*x)),x]","-\frac{217}{484 (1-2 x)}+\frac{49}{88 (1-2 x)^2}-\frac{\log (1-2 x)}{1331}+\frac{\log (5 x+3)}{1331}","-\frac{217}{484 (1-2 x)}+\frac{49}{88 (1-2 x)^2}-\frac{\log (1-2 x)}{1331}+\frac{\log (5 x+3)}{1331}",1,"49/(88*(1 - 2*x)^2) - 217/(484*(1 - 2*x)) - Log[1 - 2*x]/1331 + Log[3 + 5*x]/1331","A",2,1,22,0.04545,1,"{88}"
1678,1,43,0,0.015923,"\int \frac{2+3 x}{(1-2 x)^3 (3+5 x)} \, dx","Int[(2 + 3*x)/((1 - 2*x)^3*(3 + 5*x)),x]","\frac{1}{121 (1-2 x)}+\frac{7}{44 (1-2 x)^2}-\frac{5 \log (1-2 x)}{1331}+\frac{5 \log (5 x+3)}{1331}","\frac{1}{121 (1-2 x)}+\frac{7}{44 (1-2 x)^2}-\frac{5 \log (1-2 x)}{1331}+\frac{5 \log (5 x+3)}{1331}",1,"7/(44*(1 - 2*x)^2) + 1/(121*(1 - 2*x)) - (5*Log[1 - 2*x])/1331 + (5*Log[3 + 5*x])/1331","A",2,1,20,0.05000,1,"{77}"
1679,1,43,0,0.0151467,"\int \frac{1}{(1-2 x)^3 (3+5 x)} \, dx","Int[1/((1 - 2*x)^3*(3 + 5*x)),x]","\frac{5}{121 (1-2 x)}+\frac{1}{22 (1-2 x)^2}-\frac{25 \log (1-2 x)}{1331}+\frac{25 \log (5 x+3)}{1331}","\frac{5}{121 (1-2 x)}+\frac{1}{22 (1-2 x)^2}-\frac{25 \log (1-2 x)}{1331}+\frac{25 \log (5 x+3)}{1331}",1,"1/(22*(1 - 2*x)^2) + 5/(121*(1 - 2*x)) - (25*Log[1 - 2*x])/1331 + (25*Log[3 + 5*x])/1331","A",2,1,15,0.06667,1,"{44}"
1680,1,53,0,0.0237475,"\int \frac{1}{(1-2 x)^3 (2+3 x) (3+5 x)} \, dx","Int[1/((1 - 2*x)^3*(2 + 3*x)*(3 + 5*x)),x]","\frac{136}{5929 (1-2 x)}+\frac{1}{77 (1-2 x)^2}-\frac{6938 \log (1-2 x)}{456533}-\frac{27}{343} \log (3 x+2)+\frac{125 \log (5 x+3)}{1331}","\frac{136}{5929 (1-2 x)}+\frac{1}{77 (1-2 x)^2}-\frac{6938 \log (1-2 x)}{456533}-\frac{27}{343} \log (3 x+2)+\frac{125 \log (5 x+3)}{1331}",1,"1/(77*(1 - 2*x)^2) + 136/(5929*(1 - 2*x)) - (6938*Log[1 - 2*x])/456533 - (27*Log[2 + 3*x])/343 + (125*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{72}"
1681,1,64,0,0.0323617,"\int \frac{1}{(1-2 x)^3 (2+3 x)^2 (3+5 x)} \, dx","Int[1/((1 - 2*x)^3*(2 + 3*x)^2*(3 + 5*x)),x]","\frac{404}{41503 (1-2 x)}+\frac{27}{343 (3 x+2)}+\frac{2}{539 (1-2 x)^2}-\frac{27208 \log (1-2 x)}{3195731}-\frac{1107 \log (3 x+2)}{2401}+\frac{625 \log (5 x+3)}{1331}","\frac{404}{41503 (1-2 x)}+\frac{27}{343 (3 x+2)}+\frac{2}{539 (1-2 x)^2}-\frac{27208 \log (1-2 x)}{3195731}-\frac{1107 \log (3 x+2)}{2401}+\frac{625 \log (5 x+3)}{1331}",1,"2/(539*(1 - 2*x)^2) + 404/(41503*(1 - 2*x)) + 27/(343*(2 + 3*x)) - (27208*Log[1 - 2*x])/3195731 - (1107*Log[2 + 3*x])/2401 + (625*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{88}"
1682,1,75,0,0.0379753,"\int \frac{1}{(1-2 x)^3 (2+3 x)^3 (3+5 x)} \, dx","Int[1/((1 - 2*x)^3*(2 + 3*x)^3*(3 + 5*x)),x]","\frac{1072}{290521 (1-2 x)}+\frac{1107}{2401 (3 x+2)}+\frac{4}{3773 (1-2 x)^2}+\frac{27}{686 (3 x+2)^2}-\frac{89792 \log (1-2 x)}{22370117}-\frac{39393 \log (3 x+2)}{16807}+\frac{3125 \log (5 x+3)}{1331}","\frac{1072}{290521 (1-2 x)}+\frac{1107}{2401 (3 x+2)}+\frac{4}{3773 (1-2 x)^2}+\frac{27}{686 (3 x+2)^2}-\frac{89792 \log (1-2 x)}{22370117}-\frac{39393 \log (3 x+2)}{16807}+\frac{3125 \log (5 x+3)}{1331}",1,"4/(3773*(1 - 2*x)^2) + 1072/(290521*(1 - 2*x)) + 27/(686*(2 + 3*x)^2) + 1107/(2401*(2 + 3*x)) - (89792*Log[1 - 2*x])/22370117 - (39393*Log[2 + 3*x])/16807 + (3125*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{88}"
1683,1,86,0,0.0450109,"\int \frac{1}{(1-2 x)^3 (2+3 x)^4 (3+5 x)} \, dx","Int[1/((1 - 2*x)^3*(2 + 3*x)^4*(3 + 5*x)),x]","\frac{2672}{2033647 (1-2 x)}+\frac{39393}{16807 (3 x+2)}+\frac{8}{26411 (1-2 x)^2}+\frac{1107}{4802 (3 x+2)^2}+\frac{9}{343 (3 x+2)^3}-\frac{267760 \log (1-2 x)}{156590819}-\frac{1380915 \log (3 x+2)}{117649}+\frac{15625 \log (5 x+3)}{1331}","\frac{2672}{2033647 (1-2 x)}+\frac{39393}{16807 (3 x+2)}+\frac{8}{26411 (1-2 x)^2}+\frac{1107}{4802 (3 x+2)^2}+\frac{9}{343 (3 x+2)^3}-\frac{267760 \log (1-2 x)}{156590819}-\frac{1380915 \log (3 x+2)}{117649}+\frac{15625 \log (5 x+3)}{1331}",1,"8/(26411*(1 - 2*x)^2) + 2672/(2033647*(1 - 2*x)) + 9/(343*(2 + 3*x)^3) + 1107/(4802*(2 + 3*x)^2) + 39393/(16807*(2 + 3*x)) - (267760*Log[1 - 2*x])/156590819 - (1380915*Log[2 + 3*x])/117649 + (15625*Log[3 + 5*x])/1331","A",2,1,22,0.04545,1,"{88}"
1684,1,80,0,0.0437822,"\int \frac{(2+3 x)^8}{(1-2 x)^3 (3+5 x)^2} \, dx","Int[(2 + 3*x)^8/((1 - 2*x)^3*(3 + 5*x)^2),x]","-\frac{6561 x^4}{800}-\frac{123201 x^3}{2000}-\frac{4863159 x^2}{20000}-\frac{81001863 x}{100000}-\frac{79883671}{85184 (1-2 x)}-\frac{1}{20796875 (5 x+3)}+\frac{5764801}{30976 (1-2 x)^2}-\frac{1845559863 \log (1-2 x)}{1874048}+\frac{54 \log (5 x+3)}{45753125}","-\frac{6561 x^4}{800}-\frac{123201 x^3}{2000}-\frac{4863159 x^2}{20000}-\frac{81001863 x}{100000}-\frac{79883671}{85184 (1-2 x)}-\frac{1}{20796875 (5 x+3)}+\frac{5764801}{30976 (1-2 x)^2}-\frac{1845559863 \log (1-2 x)}{1874048}+\frac{54 \log (5 x+3)}{45753125}",1,"5764801/(30976*(1 - 2*x)^2) - 79883671/(85184*(1 - 2*x)) - (81001863*x)/100000 - (4863159*x^2)/20000 - (123201*x^3)/2000 - (6561*x^4)/800 - 1/(20796875*(3 + 5*x)) - (1845559863*Log[1 - 2*x])/1874048 + (54*Log[3 + 5*x])/45753125","A",2,1,22,0.04545,1,"{88}"
1685,1,73,0,0.0396953,"\int \frac{(2+3 x)^7}{(1-2 x)^3 (3+5 x)^2} \, dx","Int[(2 + 3*x)^7/((1 - 2*x)^3*(3 + 5*x)^2),x]","-\frac{729 x^3}{200}-\frac{108621 x^2}{4000}-\frac{1258983 x}{10000}-\frac{18941489}{85184 (1-2 x)}-\frac{1}{4159375 (5 x+3)}+\frac{823543}{15488 (1-2 x)^2}-\frac{87177909 \log (1-2 x)}{468512}+\frac{237 \log (5 x+3)}{45753125}","-\frac{729 x^3}{200}-\frac{108621 x^2}{4000}-\frac{1258983 x}{10000}-\frac{18941489}{85184 (1-2 x)}-\frac{1}{4159375 (5 x+3)}+\frac{823543}{15488 (1-2 x)^2}-\frac{87177909 \log (1-2 x)}{468512}+\frac{237 \log (5 x+3)}{45753125}",1,"823543/(15488*(1 - 2*x)^2) - 18941489/(85184*(1 - 2*x)) - (1258983*x)/10000 - (108621*x^2)/4000 - (729*x^3)/200 - 1/(4159375*(3 + 5*x)) - (87177909*Log[1 - 2*x])/468512 + (237*Log[3 + 5*x])/45753125","A",2,1,22,0.04545,1,"{88}"
1686,1,66,0,0.0320095,"\int \frac{(2+3 x)^6}{(1-2 x)^3 (3+5 x)^2} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)^3*(3 + 5*x)^2),x]","-\frac{729 x^2}{400}-\frac{31347 x}{2000}-\frac{67228}{1331 (1-2 x)}-\frac{1}{831875 (5 x+3)}+\frac{117649}{7744 (1-2 x)^2}-\frac{7383075 \log (1-2 x)}{234256}+\frac{204 \log (5 x+3)}{9150625}","-\frac{729 x^2}{400}-\frac{31347 x}{2000}-\frac{67228}{1331 (1-2 x)}-\frac{1}{831875 (5 x+3)}+\frac{117649}{7744 (1-2 x)^2}-\frac{7383075 \log (1-2 x)}{234256}+\frac{204 \log (5 x+3)}{9150625}",1,"117649/(7744*(1 - 2*x)^2) - 67228/(1331*(1 - 2*x)) - (31347*x)/2000 - (729*x^2)/400 - 1/(831875*(3 + 5*x)) - (7383075*Log[1 - 2*x])/234256 + (204*Log[3 + 5*x])/9150625","A",2,1,22,0.04545,1,"{88}"
1687,1,59,0,0.0266856,"\int \frac{(2+3 x)^5}{(1-2 x)^3 (3+5 x)^2} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^3*(3 + 5*x)^2),x]","-\frac{243 x}{200}-\frac{228095}{21296 (1-2 x)}-\frac{1}{166375 (5 x+3)}+\frac{16807}{3872 (1-2 x)^2}-\frac{1034145 \log (1-2 x)}{234256}+\frac{171 \log (5 x+3)}{1830125}","-\frac{243 x}{200}-\frac{228095}{21296 (1-2 x)}-\frac{1}{166375 (5 x+3)}+\frac{16807}{3872 (1-2 x)^2}-\frac{1034145 \log (1-2 x)}{234256}+\frac{171 \log (5 x+3)}{1830125}",1,"16807/(3872*(1 - 2*x)^2) - 228095/(21296*(1 - 2*x)) - (243*x)/200 - 1/(166375*(3 + 5*x)) - (1034145*Log[1 - 2*x])/234256 + (171*Log[3 + 5*x])/1830125","A",2,1,22,0.04545,1,"{88}"
1688,1,54,0,0.0251708,"\int \frac{(2+3 x)^4}{(1-2 x)^3 (3+5 x)^2} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^3*(3 + 5*x)^2),x]","-\frac{10633}{5324 (1-2 x)}-\frac{1}{33275 (5 x+3)}+\frac{2401}{1936 (1-2 x)^2}-\frac{47481 \log (1-2 x)}{117128}+\frac{138 \log (5 x+3)}{366025}","-\frac{10633}{5324 (1-2 x)}-\frac{1}{33275 (5 x+3)}+\frac{2401}{1936 (1-2 x)^2}-\frac{47481 \log (1-2 x)}{117128}+\frac{138 \log (5 x+3)}{366025}",1,"2401/(1936*(1 - 2*x)^2) - 10633/(5324*(1 - 2*x)) - 1/(33275*(3 + 5*x)) - (47481*Log[1 - 2*x])/117128 + (138*Log[3 + 5*x])/366025","A",2,1,22,0.04545,1,"{88}"
1689,1,54,0,0.0228212,"\int \frac{(2+3 x)^3}{(1-2 x)^3 (3+5 x)^2} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^3*(3 + 5*x)^2),x]","-\frac{1421}{5324 (1-2 x)}-\frac{1}{6655 (5 x+3)}+\frac{343}{968 (1-2 x)^2}-\frac{21 \log (1-2 x)}{14641}+\frac{21 \log (5 x+3)}{14641}","-\frac{1421}{5324 (1-2 x)}-\frac{1}{6655 (5 x+3)}+\frac{343}{968 (1-2 x)^2}-\frac{21 \log (1-2 x)}{14641}+\frac{21 \log (5 x+3)}{14641}",1,"343/(968*(1 - 2*x)^2) - 1421/(5324*(1 - 2*x)) - 1/(6655*(3 + 5*x)) - (21*Log[1 - 2*x])/14641 + (21*Log[3 + 5*x])/14641","A",2,1,22,0.04545,1,"{88}"
1690,1,54,0,0.0240991,"\int \frac{(2+3 x)^2}{(1-2 x)^3 (3+5 x)^2} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^3*(3 + 5*x)^2),x]","\frac{14}{1331 (1-2 x)}-\frac{1}{1331 (5 x+3)}+\frac{49}{484 (1-2 x)^2}-\frac{72 \log (1-2 x)}{14641}+\frac{72 \log (5 x+3)}{14641}","\frac{14}{1331 (1-2 x)}-\frac{1}{1331 (5 x+3)}+\frac{49}{484 (1-2 x)^2}-\frac{72 \log (1-2 x)}{14641}+\frac{72 \log (5 x+3)}{14641}",1,"49/(484*(1 - 2*x)^2) + 14/(1331*(1 - 2*x)) - 1/(1331*(3 + 5*x)) - (72*Log[1 - 2*x])/14641 + (72*Log[3 + 5*x])/14641","A",2,1,22,0.04545,1,"{88}"
1691,1,54,0,0.0235353,"\int \frac{2+3 x}{(1-2 x)^3 (3+5 x)^2} \, dx","Int[(2 + 3*x)/((1 - 2*x)^3*(3 + 5*x)^2),x]","\frac{37}{1331 (1-2 x)}-\frac{5}{1331 (5 x+3)}+\frac{7}{242 (1-2 x)^2}-\frac{195 \log (1-2 x)}{14641}+\frac{195 \log (5 x+3)}{14641}","\frac{37}{1331 (1-2 x)}-\frac{5}{1331 (5 x+3)}+\frac{7}{242 (1-2 x)^2}-\frac{195 \log (1-2 x)}{14641}+\frac{195 \log (5 x+3)}{14641}",1,"7/(242*(1 - 2*x)^2) + 37/(1331*(1 - 2*x)) - 5/(1331*(3 + 5*x)) - (195*Log[1 - 2*x])/14641 + (195*Log[3 + 5*x])/14641","A",2,1,20,0.05000,1,"{77}"
1692,1,54,0,0.0212377,"\int \frac{1}{(1-2 x)^3 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^3*(3 + 5*x)^2),x]","\frac{20}{1331 (1-2 x)}-\frac{25}{1331 (5 x+3)}+\frac{1}{121 (1-2 x)^2}-\frac{150 \log (1-2 x)}{14641}+\frac{150 \log (5 x+3)}{14641}","\frac{20}{1331 (1-2 x)}-\frac{25}{1331 (5 x+3)}+\frac{1}{121 (1-2 x)^2}-\frac{150 \log (1-2 x)}{14641}+\frac{150 \log (5 x+3)}{14641}",1,"1/(121*(1 - 2*x)^2) + 20/(1331*(1 - 2*x)) - 25/(1331*(3 + 5*x)) - (150*Log[1 - 2*x])/14641 + (150*Log[3 + 5*x])/14641","A",2,1,15,0.06667,1,"{44}"
1693,1,64,0,0.0305904,"\int \frac{1}{(1-2 x)^3 (2+3 x) (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^3*(2 + 3*x)*(3 + 5*x)^2),x]","\frac{412}{65219 (1-2 x)}-\frac{125}{1331 (5 x+3)}+\frac{2}{847 (1-2 x)^2}-\frac{28296 \log (1-2 x)}{5021863}+\frac{81}{343} \log (3 x+2)-\frac{3375 \log (5 x+3)}{14641}","\frac{412}{65219 (1-2 x)}-\frac{125}{1331 (5 x+3)}+\frac{2}{847 (1-2 x)^2}-\frac{28296 \log (1-2 x)}{5021863}+\frac{81}{343} \log (3 x+2)-\frac{3375 \log (5 x+3)}{14641}",1,"2/(847*(1 - 2*x)^2) + 412/(65219*(1 - 2*x)) - 125/(1331*(3 + 5*x)) - (28296*Log[1 - 2*x])/5021863 + (81*Log[2 + 3*x])/343 - (3375*Log[3 + 5*x])/14641","A",2,1,22,0.04545,1,"{88}"
1694,1,75,0,0.0382461,"\int \frac{1}{(1-2 x)^3 (2+3 x)^2 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^3*(2 + 3*x)^2*(3 + 5*x)^2),x]","\frac{1088}{456533 (1-2 x)}-\frac{81}{343 (3 x+2)}-\frac{625}{1331 (5 x+3)}+\frac{4}{5929 (1-2 x)^2}-\frac{92496 \log (1-2 x)}{35153041}+\frac{6156 \log (3 x+2)}{2401}-\frac{37500 \log (5 x+3)}{14641}","\frac{1088}{456533 (1-2 x)}-\frac{81}{343 (3 x+2)}-\frac{625}{1331 (5 x+3)}+\frac{4}{5929 (1-2 x)^2}-\frac{92496 \log (1-2 x)}{35153041}+\frac{6156 \log (3 x+2)}{2401}-\frac{37500 \log (5 x+3)}{14641}",1,"4/(5929*(1 - 2*x)^2) + 1088/(456533*(1 - 2*x)) - 81/(343*(2 + 3*x)) - 625/(1331*(3 + 5*x)) - (92496*Log[1 - 2*x])/35153041 + (6156*Log[2 + 3*x])/2401 - (37500*Log[3 + 5*x])/14641","A",2,1,22,0.04545,1,"{88}"
1695,1,86,0,0.0459781,"\int \frac{1}{(1-2 x)^3 (2+3 x)^3 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^3*(2 + 3*x)^3*(3 + 5*x)^2),x]","\frac{2704}{3195731 (1-2 x)}-\frac{6156}{2401 (3 x+2)}-\frac{3125}{1331 (5 x+3)}+\frac{8}{41503 (1-2 x)^2}-\frac{81}{686 (3 x+2)^2}-\frac{274224 \log (1-2 x)}{246071287}+\frac{333639 \log (3 x+2)}{16807}-\frac{290625 \log (5 x+3)}{14641}","\frac{2704}{3195731 (1-2 x)}-\frac{6156}{2401 (3 x+2)}-\frac{3125}{1331 (5 x+3)}+\frac{8}{41503 (1-2 x)^2}-\frac{81}{686 (3 x+2)^2}-\frac{274224 \log (1-2 x)}{246071287}+\frac{333639 \log (3 x+2)}{16807}-\frac{290625 \log (5 x+3)}{14641}",1,"8/(41503*(1 - 2*x)^2) + 2704/(3195731*(1 - 2*x)) - 81/(686*(2 + 3*x)^2) - 6156/(2401*(2 + 3*x)) - 3125/(1331*(3 + 5*x)) - (274224*Log[1 - 2*x])/246071287 + (333639*Log[2 + 3*x])/16807 - (290625*Log[3 + 5*x])/14641","A",2,1,22,0.04545,1,"{88}"
1696,1,97,0,0.0553048,"\int \frac{1}{(1-2 x)^3 (2+3 x)^4 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^3*(2 + 3*x)^4*(3 + 5*x)^2),x]","\frac{6464}{22370117 (1-2 x)}-\frac{333639}{16807 (3 x+2)}-\frac{15625}{1331 (5 x+3)}+\frac{16}{290521 (1-2 x)^2}-\frac{3078}{2401 (3 x+2)^2}-\frac{27}{343 (3 x+2)^3}-\frac{761760 \log (1-2 x)}{1722499009}+\frac{15820110 \log (3 x+2)}{117649}-\frac{1968750 \log (5 x+3)}{14641}","\frac{6464}{22370117 (1-2 x)}-\frac{333639}{16807 (3 x+2)}-\frac{15625}{1331 (5 x+3)}+\frac{16}{290521 (1-2 x)^2}-\frac{3078}{2401 (3 x+2)^2}-\frac{27}{343 (3 x+2)^3}-\frac{761760 \log (1-2 x)}{1722499009}+\frac{15820110 \log (3 x+2)}{117649}-\frac{1968750 \log (5 x+3)}{14641}",1,"16/(290521*(1 - 2*x)^2) + 6464/(22370117*(1 - 2*x)) - 27/(343*(2 + 3*x)^3) - 3078/(2401*(2 + 3*x)^2) - 333639/(16807*(2 + 3*x)) - 15625/(1331*(3 + 5*x)) - (761760*Log[1 - 2*x])/1722499009 + (15820110*Log[2 + 3*x])/117649 - (1968750*Log[3 + 5*x])/14641","A",2,1,22,0.04545,1,"{88}"
1697,1,91,0,0.0531208,"\int \frac{(2+3 x)^9}{(1-2 x)^3 (3+5 x)^3} \, dx","Int[(2 + 3*x)^9/((1 - 2*x)^3*(3 + 5*x)^3),x]","-\frac{19683 x^4}{4000}-\frac{373977 x^3}{10000}-\frac{7459857 x^2}{50000}-\frac{50150097 x}{100000}-\frac{17294403}{29282 (1-2 x)}-\frac{303}{1143828125 (5 x+3)}+\frac{40353607}{340736 (1-2 x)^2}-\frac{1}{207968750 (5 x+3)^2}-\frac{12657032367 \log (1-2 x)}{20614528}+\frac{8202 \log (5 x+3)}{2516421875}","-\frac{19683 x^4}{4000}-\frac{373977 x^3}{10000}-\frac{7459857 x^2}{50000}-\frac{50150097 x}{100000}-\frac{17294403}{29282 (1-2 x)}-\frac{303}{1143828125 (5 x+3)}+\frac{40353607}{340736 (1-2 x)^2}-\frac{1}{207968750 (5 x+3)^2}-\frac{12657032367 \log (1-2 x)}{20614528}+\frac{8202 \log (5 x+3)}{2516421875}",1,"40353607/(340736*(1 - 2*x)^2) - 17294403/(29282*(1 - 2*x)) - (50150097*x)/100000 - (7459857*x^2)/50000 - (373977*x^3)/10000 - (19683*x^4)/4000 - 1/(207968750*(3 + 5*x)^2) - 303/(1143828125*(3 + 5*x)) - (12657032367*Log[1 - 2*x])/20614528 + (8202*Log[3 + 5*x])/2516421875","A",2,1,22,0.04545,1,"{88}"
1698,1,84,0,0.0469594,"\int \frac{(2+3 x)^8}{(1-2 x)^3 (3+5 x)^3} \, dx","Int[(2 + 3*x)^8/((1 - 2*x)^3*(3 + 5*x)^3),x]","-\frac{2187 x^3}{1000}-\frac{330237 x^2}{20000}-\frac{242028 x}{3125}-\frac{130943337}{937024 (1-2 x)}-\frac{54}{45753125 (5 x+3)}+\frac{5764801}{170368 (1-2 x)^2}-\frac{1}{41593750 (5 x+3)^2}-\frac{595421589 \log (1-2 x)}{5153632}+\frac{1284 \log (5 x+3)}{100656875}","-\frac{2187 x^3}{1000}-\frac{330237 x^2}{20000}-\frac{242028 x}{3125}-\frac{130943337}{937024 (1-2 x)}-\frac{54}{45753125 (5 x+3)}+\frac{5764801}{170368 (1-2 x)^2}-\frac{1}{41593750 (5 x+3)^2}-\frac{595421589 \log (1-2 x)}{5153632}+\frac{1284 \log (5 x+3)}{100656875}",1,"5764801/(170368*(1 - 2*x)^2) - 130943337/(937024*(1 - 2*x)) - (242028*x)/3125 - (330237*x^2)/20000 - (2187*x^3)/1000 - 1/(41593750*(3 + 5*x)^2) - 54/(45753125*(3 + 5*x)) - (595421589*Log[1 - 2*x])/5153632 + (1284*Log[3 + 5*x])/100656875","A",2,1,22,0.04545,1,"{88}"
1699,1,77,0,0.0413385,"\int \frac{(2+3 x)^7}{(1-2 x)^3 (3+5 x)^3} \, dx","Int[(2 + 3*x)^7/((1 - 2*x)^3*(3 + 5*x)^3),x]","-\frac{2187 x^2}{2000}-\frac{95499 x}{10000}-\frac{7411887}{234256 (1-2 x)}-\frac{237}{45753125 (5 x+3)}+\frac{823543}{85184 (1-2 x)^2}-\frac{1}{8318750 (5 x+3)^2}-\frac{25059237 \log (1-2 x)}{1288408}+\frac{24279 \log (5 x+3)}{503284375}","-\frac{2187 x^2}{2000}-\frac{95499 x}{10000}-\frac{7411887}{234256 (1-2 x)}-\frac{237}{45753125 (5 x+3)}+\frac{823543}{85184 (1-2 x)^2}-\frac{1}{8318750 (5 x+3)^2}-\frac{25059237 \log (1-2 x)}{1288408}+\frac{24279 \log (5 x+3)}{503284375}",1,"823543/(85184*(1 - 2*x)^2) - 7411887/(234256*(1 - 2*x)) - (95499*x)/10000 - (2187*x^2)/2000 - 1/(8318750*(3 + 5*x)^2) - 237/(45753125*(3 + 5*x)) - (25059237*Log[1 - 2*x])/1288408 + (24279*Log[3 + 5*x])/503284375","A",2,1,22,0.04545,1,"{88}"
1700,1,70,0,0.0337331,"\int \frac{(2+3 x)^6}{(1-2 x)^3 (3+5 x)^3} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)^3*(3 + 5*x)^3),x]","-\frac{729 x}{1000}-\frac{1563051}{234256 (1-2 x)}-\frac{204}{9150625 (5 x+3)}+\frac{117649}{42592 (1-2 x)^2}-\frac{1}{1663750 (5 x+3)^2}-\frac{6950895 \log (1-2 x)}{2576816}+\frac{17547 \log (5 x+3)}{100656875}","-\frac{729 x}{1000}-\frac{1563051}{234256 (1-2 x)}-\frac{204}{9150625 (5 x+3)}+\frac{117649}{42592 (1-2 x)^2}-\frac{1}{1663750 (5 x+3)^2}-\frac{6950895 \log (1-2 x)}{2576816}+\frac{17547 \log (5 x+3)}{100656875}",1,"117649/(42592*(1 - 2*x)^2) - 1563051/(234256*(1 - 2*x)) - (729*x)/1000 - 1/(1663750*(3 + 5*x)^2) - 204/(9150625*(3 + 5*x)) - (6950895*Log[1 - 2*x])/2576816 + (17547*Log[3 + 5*x])/100656875","A",2,1,22,0.04545,1,"{88}"
1701,1,65,0,0.0299426,"\int \frac{(2+3 x)^5}{(1-2 x)^3 (3+5 x)^3} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^3*(3 + 5*x)^3),x]","-\frac{36015}{29282 (1-2 x)}-\frac{171}{1830125 (5 x+3)}+\frac{16807}{21296 (1-2 x)^2}-\frac{1}{332750 (5 x+3)^2}-\frac{313845 \log (1-2 x)}{1288408}+\frac{11904 \log (5 x+3)}{20131375}","-\frac{36015}{29282 (1-2 x)}-\frac{171}{1830125 (5 x+3)}+\frac{16807}{21296 (1-2 x)^2}-\frac{1}{332750 (5 x+3)^2}-\frac{313845 \log (1-2 x)}{1288408}+\frac{11904 \log (5 x+3)}{20131375}",1,"16807/(21296*(1 - 2*x)^2) - 36015/(29282*(1 - 2*x)) - 1/(332750*(3 + 5*x)^2) - 171/(1830125*(3 + 5*x)) - (313845*Log[1 - 2*x])/1288408 + (11904*Log[3 + 5*x])/20131375","A",2,1,22,0.04545,1,"{88}"
1702,1,65,0,0.0318931,"\int \frac{(2+3 x)^4}{(1-2 x)^3 (3+5 x)^3} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^3*(3 + 5*x)^3),x]","-\frac{9261}{58564 (1-2 x)}-\frac{138}{366025 (5 x+3)}+\frac{2401}{10648 (1-2 x)^2}-\frac{1}{66550 (5 x+3)^2}-\frac{294 \log (1-2 x)}{161051}+\frac{294 \log (5 x+3)}{161051}","-\frac{9261}{58564 (1-2 x)}-\frac{138}{366025 (5 x+3)}+\frac{2401}{10648 (1-2 x)^2}-\frac{1}{66550 (5 x+3)^2}-\frac{294 \log (1-2 x)}{161051}+\frac{294 \log (5 x+3)}{161051}",1,"2401/(10648*(1 - 2*x)^2) - 9261/(58564*(1 - 2*x)) - 1/(66550*(3 + 5*x)^2) - 138/(366025*(3 + 5*x)) - (294*Log[1 - 2*x])/161051 + (294*Log[3 + 5*x])/161051","A",2,1,22,0.04545,1,"{88}"
1703,1,65,0,0.0299482,"\int \frac{(2+3 x)^3}{(1-2 x)^3 (3+5 x)^3} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^3*(3 + 5*x)^3),x]","\frac{147}{14641 (1-2 x)}-\frac{21}{14641 (5 x+3)}+\frac{343}{5324 (1-2 x)^2}-\frac{1}{13310 (5 x+3)^2}-\frac{777 \log (1-2 x)}{161051}+\frac{777 \log (5 x+3)}{161051}","\frac{147}{14641 (1-2 x)}-\frac{21}{14641 (5 x+3)}+\frac{343}{5324 (1-2 x)^2}-\frac{1}{13310 (5 x+3)^2}-\frac{777 \log (1-2 x)}{161051}+\frac{777 \log (5 x+3)}{161051}",1,"343/(5324*(1 - 2*x)^2) + 147/(14641*(1 - 2*x)) - 1/(13310*(3 + 5*x)^2) - 21/(14641*(3 + 5*x)) - (777*Log[1 - 2*x])/161051 + (777*Log[3 + 5*x])/161051","A",2,1,22,0.04545,1,"{88}"
1704,1,65,0,0.0307276,"\int \frac{(2+3 x)^2}{(1-2 x)^3 (3+5 x)^3} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^3*(3 + 5*x)^3),x]","\frac{273}{14641 (1-2 x)}-\frac{72}{14641 (5 x+3)}+\frac{49}{2662 (1-2 x)^2}-\frac{1}{2662 (5 x+3)^2}-\frac{1509 \log (1-2 x)}{161051}+\frac{1509 \log (5 x+3)}{161051}","\frac{273}{14641 (1-2 x)}-\frac{72}{14641 (5 x+3)}+\frac{49}{2662 (1-2 x)^2}-\frac{1}{2662 (5 x+3)^2}-\frac{1509 \log (1-2 x)}{161051}+\frac{1509 \log (5 x+3)}{161051}",1,"49/(2662*(1 - 2*x)^2) + 273/(14641*(1 - 2*x)) - 1/(2662*(3 + 5*x)^2) - 72/(14641*(3 + 5*x)) - (1509*Log[1 - 2*x])/161051 + (1509*Log[3 + 5*x])/161051","A",2,1,22,0.04545,1,"{88}"
1705,1,65,0,0.0293219,"\int \frac{2+3 x}{(1-2 x)^3 (3+5 x)^3} \, dx","Int[(2 + 3*x)/((1 - 2*x)^3*(3 + 5*x)^3),x]","\frac{144}{14641 (1-2 x)}-\frac{195}{14641 (5 x+3)}+\frac{7}{1331 (1-2 x)^2}-\frac{5}{2662 (5 x+3)^2}-\frac{1110 \log (1-2 x)}{161051}+\frac{1110 \log (5 x+3)}{161051}","\frac{144}{14641 (1-2 x)}-\frac{195}{14641 (5 x+3)}+\frac{7}{1331 (1-2 x)^2}-\frac{5}{2662 (5 x+3)^2}-\frac{1110 \log (1-2 x)}{161051}+\frac{1110 \log (5 x+3)}{161051}",1,"7/(1331*(1 - 2*x)^2) + 144/(14641*(1 - 2*x)) - 5/(2662*(3 + 5*x)^2) - 195/(14641*(3 + 5*x)) - (1110*Log[1 - 2*x])/161051 + (1110*Log[3 + 5*x])/161051","A",2,1,20,0.05000,1,"{77}"
1706,1,65,0,0.0274613,"\int \frac{1}{(1-2 x)^3 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^3*(3 + 5*x)^3),x]","\frac{60}{14641 (1-2 x)}-\frac{150}{14641 (5 x+3)}+\frac{2}{1331 (1-2 x)^2}-\frac{25}{2662 (5 x+3)^2}-\frac{600 \log (1-2 x)}{161051}+\frac{600 \log (5 x+3)}{161051}","\frac{60}{14641 (1-2 x)}-\frac{150}{14641 (5 x+3)}+\frac{2}{1331 (1-2 x)^2}-\frac{25}{2662 (5 x+3)^2}-\frac{600 \log (1-2 x)}{161051}+\frac{600 \log (5 x+3)}{161051}",1,"2/(1331*(1 - 2*x)^2) + 60/(14641*(1 - 2*x)) - 25/(2662*(3 + 5*x)^2) - 150/(14641*(3 + 5*x)) - (600*Log[1 - 2*x])/161051 + (600*Log[3 + 5*x])/161051","A",2,1,15,0.06667,1,"{44}"
1707,1,75,0,0.0385246,"\int \frac{1}{(1-2 x)^3 (2+3 x) (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^3*(2 + 3*x)*(3 + 5*x)^3),x]","\frac{1104}{717409 (1-2 x)}+\frac{3375}{14641 (5 x+3)}+\frac{4}{9317 (1-2 x)^2}-\frac{125}{2662 (5 x+3)^2}-\frac{95232 \log (1-2 x)}{55240493}-\frac{243}{343} \log (3 x+2)+\frac{114375 \log (5 x+3)}{161051}","\frac{1104}{717409 (1-2 x)}+\frac{3375}{14641 (5 x+3)}+\frac{4}{9317 (1-2 x)^2}-\frac{125}{2662 (5 x+3)^2}-\frac{95232 \log (1-2 x)}{55240493}-\frac{243}{343} \log (3 x+2)+\frac{114375 \log (5 x+3)}{161051}",1,"4/(9317*(1 - 2*x)^2) + 1104/(717409*(1 - 2*x)) - 125/(2662*(3 + 5*x)^2) + 3375/(14641*(3 + 5*x)) - (95232*Log[1 - 2*x])/55240493 - (243*Log[2 + 3*x])/343 + (114375*Log[3 + 5*x])/161051","A",2,1,22,0.04545,1,"{88}"
1708,1,86,0,0.0466914,"\int \frac{1}{(1-2 x)^3 (2+3 x)^2 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^3*(2 + 3*x)^2*(3 + 5*x)^3),x]","\frac{2736}{5021863 (1-2 x)}+\frac{243}{343 (3 x+2)}+\frac{37500}{14641 (5 x+3)}+\frac{8}{65219 (1-2 x)^2}-\frac{625}{2662 (5 x+3)^2}-\frac{280752 \log (1-2 x)}{386683451}-\frac{26973 \log (3 x+2)}{2401}+\frac{1809375 \log (5 x+3)}{161051}","\frac{2736}{5021863 (1-2 x)}+\frac{243}{343 (3 x+2)}+\frac{37500}{14641 (5 x+3)}+\frac{8}{65219 (1-2 x)^2}-\frac{625}{2662 (5 x+3)^2}-\frac{280752 \log (1-2 x)}{386683451}-\frac{26973 \log (3 x+2)}{2401}+\frac{1809375 \log (5 x+3)}{161051}",1,"8/(65219*(1 - 2*x)^2) + 2736/(5021863*(1 - 2*x)) + 243/(343*(2 + 3*x)) - 625/(2662*(3 + 5*x)^2) + 37500/(14641*(3 + 5*x)) - (280752*Log[1 - 2*x])/386683451 - (26973*Log[2 + 3*x])/2401 + (1809375*Log[3 + 5*x])/161051","A",2,1,22,0.04545,1,"{88}"
1709,1,97,0,0.0531709,"\int \frac{1}{(1-2 x)^3 (2+3 x)^3 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^3*(2 + 3*x)^3*(3 + 5*x)^3),x]","\frac{6528}{35153041 (1-2 x)}+\frac{26973}{2401 (3 x+2)}+\frac{290625}{14641 (5 x+3)}+\frac{16}{456533 (1-2 x)^2}+\frac{243}{686 (3 x+2)^2}-\frac{3125}{2662 (5 x+3)^2}-\frac{776928 \log (1-2 x)}{2706784157}-\frac{1944972 \log (3 x+2)}{16807}+\frac{18637500 \log (5 x+3)}{161051}","\frac{6528}{35153041 (1-2 x)}+\frac{26973}{2401 (3 x+2)}+\frac{290625}{14641 (5 x+3)}+\frac{16}{456533 (1-2 x)^2}+\frac{243}{686 (3 x+2)^2}-\frac{3125}{2662 (5 x+3)^2}-\frac{776928 \log (1-2 x)}{2706784157}-\frac{1944972 \log (3 x+2)}{16807}+\frac{18637500 \log (5 x+3)}{161051}",1,"16/(456533*(1 - 2*x)^2) + 6528/(35153041*(1 - 2*x)) + 243/(686*(2 + 3*x)^2) + 26973/(2401*(2 + 3*x)) - 3125/(2662*(3 + 5*x)^2) + 290625/(14641*(3 + 5*x)) - (776928*Log[1 - 2*x])/2706784157 - (1944972*Log[2 + 3*x])/16807 + (18637500*Log[3 + 5*x])/161051","A",2,1,22,0.04545,1,"{88}"
1710,1,108,0,0.0635186,"\int \frac{1}{(1-2 x)^3 (2+3 x)^4 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^3*(2 + 3*x)^4*(3 + 5*x)^3),x]","\frac{15168}{246071287 (1-2 x)}+\frac{1944972}{16807 (3 x+2)}+\frac{1968750}{14641 (5 x+3)}+\frac{32}{3195731 (1-2 x)^2}+\frac{26973}{4802 (3 x+2)^2}-\frac{15625}{2662 (5 x+3)^2}+\frac{81}{343 (3 x+2)^3}-\frac{2054400 \log (1-2 x)}{18947489099}-\frac{115534350 \log (3 x+2)}{117649}+\frac{158156250 \log (5 x+3)}{161051}","\frac{15168}{246071287 (1-2 x)}+\frac{1944972}{16807 (3 x+2)}+\frac{1968750}{14641 (5 x+3)}+\frac{32}{3195731 (1-2 x)^2}+\frac{26973}{4802 (3 x+2)^2}-\frac{15625}{2662 (5 x+3)^2}+\frac{81}{343 (3 x+2)^3}-\frac{2054400 \log (1-2 x)}{18947489099}-\frac{115534350 \log (3 x+2)}{117649}+\frac{158156250 \log (5 x+3)}{161051}",1,"32/(3195731*(1 - 2*x)^2) + 15168/(246071287*(1 - 2*x)) + 81/(343*(2 + 3*x)^3) + 26973/(4802*(2 + 3*x)^2) + 1944972/(16807*(2 + 3*x)) - 15625/(2662*(3 + 5*x)^2) + 1968750/(14641*(3 + 5*x)) - (2054400*Log[1 - 2*x])/18947489099 - (115534350*Log[2 + 3*x])/117649 + (158156250*Log[3 + 5*x])/161051","A",2,1,22,0.04545,1,"{88}"
1711,1,361,0,0.7298573,"\int (a+b x)^3 (c+d x)^3 (e+f x)^3 \, dx","Int[(a + b*x)^3*(c + d*x)^3*(e + f*x)^3,x]","\frac{3 d f (a+b x)^8 \left(5 a^2 d^2 f^2-5 a b d f (c f+d e)+b^2 \left(c^2 f^2+3 c d e f+d^2 e^2\right)\right)}{8 b^7}+\frac{(a+b x)^7 (-2 a d f+b c f+b d e) \left(10 a^2 d^2 f^2-10 a b d f (c f+d e)+b^2 \left(c^2 f^2+8 c d e f+d^2 e^2\right)\right)}{7 b^7}+\frac{(a+b x)^6 (b c-a d) (b e-a f) \left(5 a^2 d^2 f^2-5 a b d f (c f+d e)+b^2 \left(c^2 f^2+3 c d e f+d^2 e^2\right)\right)}{2 b^7}+\frac{d^2 f^2 (a+b x)^9 (-2 a d f+b c f+b d e)}{3 b^7}+\frac{3 (a+b x)^5 (b c-a d)^2 (b e-a f)^2 (-2 a d f+b c f+b d e)}{5 b^7}+\frac{(a+b x)^4 (b c-a d)^3 (b e-a f)^3}{4 b^7}+\frac{d^3 f^3 (a+b x)^{10}}{10 b^7}","\frac{3 d f (a+b x)^8 \left(5 a^2 d^2 f^2-5 a b d f (c f+d e)+b^2 \left(c^2 f^2+3 c d e f+d^2 e^2\right)\right)}{8 b^7}+\frac{(a+b x)^7 (-2 a d f+b c f+b d e) \left(10 a^2 d^2 f^2-10 a b d f (c f+d e)+b^2 \left(c^2 f^2+8 c d e f+d^2 e^2\right)\right)}{7 b^7}+\frac{(a+b x)^6 (b c-a d) (b e-a f) \left(5 a^2 d^2 f^2-5 a b d f (c f+d e)+b^2 \left(c^2 f^2+3 c d e f+d^2 e^2\right)\right)}{2 b^7}+\frac{d^2 f^2 (a+b x)^9 (-2 a d f+b c f+b d e)}{3 b^7}+\frac{3 (a+b x)^5 (b c-a d)^2 (b e-a f)^2 (-2 a d f+b c f+b d e)}{5 b^7}+\frac{(a+b x)^4 (b c-a d)^3 (b e-a f)^3}{4 b^7}+\frac{d^3 f^3 (a+b x)^{10}}{10 b^7}",1,"((b*c - a*d)^3*(b*e - a*f)^3*(a + b*x)^4)/(4*b^7) + (3*(b*c - a*d)^2*(b*e - a*f)^2*(b*d*e + b*c*f - 2*a*d*f)*(a + b*x)^5)/(5*b^7) + ((b*c - a*d)*(b*e - a*f)*(5*a^2*d^2*f^2 - 5*a*b*d*f*(d*e + c*f) + b^2*(d^2*e^2 + 3*c*d*e*f + c^2*f^2))*(a + b*x)^6)/(2*b^7) + ((b*d*e + b*c*f - 2*a*d*f)*(10*a^2*d^2*f^2 - 10*a*b*d*f*(d*e + c*f) + b^2*(d^2*e^2 + 8*c*d*e*f + c^2*f^2))*(a + b*x)^7)/(7*b^7) + (3*d*f*(5*a^2*d^2*f^2 - 5*a*b*d*f*(d*e + c*f) + b^2*(d^2*e^2 + 3*c*d*e*f + c^2*f^2))*(a + b*x)^8)/(8*b^7) + (d^2*f^2*(b*d*e + b*c*f - 2*a*d*f)*(a + b*x)^9)/(3*b^7) + (d^3*f^3*(a + b*x)^10)/(10*b^7)","A",2,1,22,0.04545,1,"{88}"
1712,1,193,0,0.2564228,"\int (a+b x)^2 (c+d x)^2 (e+f x)^2 \, dx","Int[(a + b*x)^2*(c + d*x)^2*(e + f*x)^2,x]","\frac{(a+b x)^5 \left(6 a^2 d^2 f^2-6 a b d f (c f+d e)+b^2 \left(c^2 f^2+4 c d e f+d^2 e^2\right)\right)}{5 b^5}+\frac{d f (a+b x)^6 (-2 a d f+b c f+b d e)}{3 b^5}+\frac{(a+b x)^4 (b c-a d) (b e-a f) (-2 a d f+b c f+b d e)}{2 b^5}+\frac{(a+b x)^3 (b c-a d)^2 (b e-a f)^2}{3 b^5}+\frac{d^2 f^2 (a+b x)^7}{7 b^5}","\frac{(a+b x)^5 \left(6 a^2 d^2 f^2-6 a b d f (c f+d e)+b^2 \left(c^2 f^2+4 c d e f+d^2 e^2\right)\right)}{5 b^5}+\frac{d f (a+b x)^6 (-2 a d f+b c f+b d e)}{3 b^5}+\frac{(a+b x)^4 (b c-a d) (b e-a f) (-2 a d f+b c f+b d e)}{2 b^5}+\frac{(a+b x)^3 (b c-a d)^2 (b e-a f)^2}{3 b^5}+\frac{d^2 f^2 (a+b x)^7}{7 b^5}",1,"((b*c - a*d)^2*(b*e - a*f)^2*(a + b*x)^3)/(3*b^5) + ((b*c - a*d)*(b*e - a*f)*(b*d*e + b*c*f - 2*a*d*f)*(a + b*x)^4)/(2*b^5) + ((6*a^2*d^2*f^2 - 6*a*b*d*f*(d*e + c*f) + b^2*(d^2*e^2 + 4*c*d*e*f + c^2*f^2))*(a + b*x)^5)/(5*b^5) + (d*f*(b*d*e + b*c*f - 2*a*d*f)*(a + b*x)^6)/(3*b^5) + (d^2*f^2*(a + b*x)^7)/(7*b^5)","A",2,1,22,0.04545,1,"{88}"
1713,1,56,0,0.0405256,"\int (a+b x) (c+d x) (e+f x) \, dx","Int[(a + b*x)*(c + d*x)*(e + f*x),x]","\frac{1}{3} x^3 (a d f+b c f+b d e)+\frac{1}{2} x^2 (a c f+a d e+b c e)+a c e x+\frac{1}{4} b d f x^4","\frac{1}{3} x^3 (a d f+b c f+b d e)+\frac{1}{2} x^2 (a c f+a d e+b c e)+a c e x+\frac{1}{4} b d f x^4",1,"a*c*e*x + ((b*c*e + a*d*e + a*c*f)*x^2)/2 + ((b*d*e + b*c*f + a*d*f)*x^3)/3 + (b*d*f*x^4)/4","A",2,1,16,0.06250,1,"{77}"
1714,1,86,0,0.075017,"\int \frac{1}{(a+b x) (c+d x) (e+f x)} \, dx","Int[1/((a + b*x)*(c + d*x)*(e + f*x)),x]","\frac{b \log (a+b x)}{(b c-a d) (b e-a f)}-\frac{d \log (c+d x)}{(b c-a d) (d e-c f)}+\frac{f \log (e+f x)}{(b e-a f) (d e-c f)}","\frac{b \log (a+b x)}{(b c-a d) (b e-a f)}-\frac{d \log (c+d x)}{(b c-a d) (d e-c f)}+\frac{f \log (e+f x)}{(b e-a f) (d e-c f)}",1,"(b*Log[a + b*x])/((b*c - a*d)*(b*e - a*f)) - (d*Log[c + d*x])/((b*c - a*d)*(d*e - c*f)) + (f*Log[e + f*x])/((b*e - a*f)*(d*e - c*f))","A",2,1,22,0.04545,1,"{72}"
1715,1,234,0,0.451595,"\int \frac{1}{(a+b x)^2 (c+d x)^2 (e+f x)^2} \, dx","Int[1/((a + b*x)^2*(c + d*x)^2*(e + f*x)^2),x]","-\frac{b^3}{(a+b x) (b c-a d)^2 (b e-a f)^2}-\frac{2 b^3 \log (a+b x) (-2 a d f+b c f+b d e)}{(b c-a d)^3 (b e-a f)^3}-\frac{d^3}{(c+d x) (b c-a d)^2 (d e-c f)^2}+\frac{2 d^3 \log (c+d x) (a d f-2 b c f+b d e)}{(b c-a d)^3 (d e-c f)^3}-\frac{f^3}{(e+f x) (b e-a f)^2 (d e-c f)^2}+\frac{2 f^3 \log (e+f x) (-a d f-b c f+2 b d e)}{(b e-a f)^3 (d e-c f)^3}","-\frac{b^3}{(a+b x) (b c-a d)^2 (b e-a f)^2}-\frac{2 b^3 \log (a+b x) (-2 a d f+b c f+b d e)}{(b c-a d)^3 (b e-a f)^3}-\frac{d^3}{(c+d x) (b c-a d)^2 (d e-c f)^2}+\frac{2 d^3 \log (c+d x) (a d f-2 b c f+b d e)}{(b c-a d)^3 (d e-c f)^3}-\frac{f^3}{(e+f x) (b e-a f)^2 (d e-c f)^2}+\frac{2 f^3 \log (e+f x) (-a d f-b c f+2 b d e)}{(b e-a f)^3 (d e-c f)^3}",1,"-(b^3/((b*c - a*d)^2*(b*e - a*f)^2*(a + b*x))) - d^3/((b*c - a*d)^2*(d*e - c*f)^2*(c + d*x)) - f^3/((b*e - a*f)^2*(d*e - c*f)^2*(e + f*x)) - (2*b^3*(b*d*e + b*c*f - 2*a*d*f)*Log[a + b*x])/((b*c - a*d)^3*(b*e - a*f)^3) + (2*d^3*(b*d*e - 2*b*c*f + a*d*f)*Log[c + d*x])/((b*c - a*d)^3*(d*e - c*f)^3) + (2*f^3*(2*b*d*e - b*c*f - a*d*f)*Log[e + f*x])/((b*e - a*f)^3*(d*e - c*f)^3)","A",2,1,22,0.04545,1,"{88}"
1716,1,495,0,1.7423411,"\int \frac{1}{(a+b x)^3 (c+d x)^3 (e+f x)^3} \, dx","Int[1/((a + b*x)^3*(c + d*x)^3*(e + f*x)^3),x]","\frac{3 b^5 \log (a+b x) \left(7 a^2 d^2 f^2-7 a b d f (c f+d e)+b^2 \left(2 c^2 f^2+3 c d e f+2 d^2 e^2\right)\right)}{(b c-a d)^5 (b e-a f)^5}-\frac{3 d^5 \log (c+d x) \left(2 a^2 d^2 f^2+a b d f (3 d e-7 c f)+b^2 \left(7 c^2 f^2-7 c d e f+2 d^2 e^2\right)\right)}{(b c-a d)^5 (d e-c f)^5}+\frac{3 f^5 \log (e+f x) \left(2 a^2 d^2 f^2-a b d f (7 d e-3 c f)+b^2 \left(2 c^2 f^2-7 c d e f+7 d^2 e^2\right)\right)}{(b e-a f)^5 (d e-c f)^5}+\frac{3 b^5 (-2 a d f+b c f+b d e)}{(a+b x) (b c-a d)^4 (b e-a f)^4}-\frac{b^5}{2 (a+b x)^2 (b c-a d)^3 (b e-a f)^3}+\frac{3 d^5 (a d f-2 b c f+b d e)}{(c+d x) (b c-a d)^4 (d e-c f)^4}+\frac{d^5}{2 (c+d x)^2 (b c-a d)^3 (d e-c f)^3}-\frac{3 f^5 (-a d f-b c f+2 b d e)}{(e+f x) (b e-a f)^4 (d e-c f)^4}-\frac{f^5}{2 (e+f x)^2 (b e-a f)^3 (d e-c f)^3}","\frac{3 b^5 \log (a+b x) \left(7 a^2 d^2 f^2-7 a b d f (c f+d e)+b^2 \left(2 c^2 f^2+3 c d e f+2 d^2 e^2\right)\right)}{(b c-a d)^5 (b e-a f)^5}-\frac{3 d^5 \log (c+d x) \left(2 a^2 d^2 f^2+a b d f (3 d e-7 c f)+b^2 \left(7 c^2 f^2-7 c d e f+2 d^2 e^2\right)\right)}{(b c-a d)^5 (d e-c f)^5}+\frac{3 f^5 \log (e+f x) \left(2 a^2 d^2 f^2-a b d f (7 d e-3 c f)+b^2 \left(2 c^2 f^2-7 c d e f+7 d^2 e^2\right)\right)}{(b e-a f)^5 (d e-c f)^5}+\frac{3 b^5 (-2 a d f+b c f+b d e)}{(a+b x) (b c-a d)^4 (b e-a f)^4}-\frac{b^5}{2 (a+b x)^2 (b c-a d)^3 (b e-a f)^3}+\frac{3 d^5 (a d f-2 b c f+b d e)}{(c+d x) (b c-a d)^4 (d e-c f)^4}+\frac{d^5}{2 (c+d x)^2 (b c-a d)^3 (d e-c f)^3}-\frac{3 f^5 (-a d f-b c f+2 b d e)}{(e+f x) (b e-a f)^4 (d e-c f)^4}-\frac{f^5}{2 (e+f x)^2 (b e-a f)^3 (d e-c f)^3}",1,"-b^5/(2*(b*c - a*d)^3*(b*e - a*f)^3*(a + b*x)^2) + (3*b^5*(b*d*e + b*c*f - 2*a*d*f))/((b*c - a*d)^4*(b*e - a*f)^4*(a + b*x)) + d^5/(2*(b*c - a*d)^3*(d*e - c*f)^3*(c + d*x)^2) + (3*d^5*(b*d*e - 2*b*c*f + a*d*f))/((b*c - a*d)^4*(d*e - c*f)^4*(c + d*x)) - f^5/(2*(b*e - a*f)^3*(d*e - c*f)^3*(e + f*x)^2) - (3*f^5*(2*b*d*e - b*c*f - a*d*f))/((b*e - a*f)^4*(d*e - c*f)^4*(e + f*x)) + (3*b^5*(7*a^2*d^2*f^2 - 7*a*b*d*f*(d*e + c*f) + b^2*(2*d^2*e^2 + 3*c*d*e*f + 2*c^2*f^2))*Log[a + b*x])/((b*c - a*d)^5*(b*e - a*f)^5) - (3*d^5*(2*a^2*d^2*f^2 + a*b*d*f*(3*d*e - 7*c*f) + b^2*(2*d^2*e^2 - 7*c*d*e*f + 7*c^2*f^2))*Log[c + d*x])/((b*c - a*d)^5*(d*e - c*f)^5) + (3*f^5*(2*a^2*d^2*f^2 - a*b*d*f*(7*d*e - 3*c*f) + b^2*(7*d^2*e^2 - 7*c*d*e*f + 2*c^2*f^2))*Log[e + f*x])/((b*e - a*f)^5*(d*e - c*f)^5)","A",2,1,22,0.04545,1,"{88}"
1717,1,170,0,0.2730937,"\int \frac{(c+d x)^{3/2}}{(a+b x)^2 (e+f x)} \, dx","Int[(c + d*x)^(3/2)/((a + b*x)^2*(e + f*x)),x]","-\frac{\sqrt{b c-a d} (-a d f-2 b c f+3 b d e) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{3/2} (b e-a f)^2}-\frac{\sqrt{c+d x} (b c-a d)}{b (a+b x) (b e-a f)}+\frac{2 (d e-c f)^{3/2} \tan ^{-1}\left(\frac{\sqrt{f} \sqrt{c+d x}}{\sqrt{d e-c f}}\right)}{\sqrt{f} (b e-a f)^2}","-\frac{\sqrt{b c-a d} (-a d f-2 b c f+3 b d e) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{c+d x}}{\sqrt{b c-a d}}\right)}{b^{3/2} (b e-a f)^2}-\frac{\sqrt{c+d x} (b c-a d)}{b (a+b x) (b e-a f)}+\frac{2 (d e-c f)^{3/2} \tan ^{-1}\left(\frac{\sqrt{f} \sqrt{c+d x}}{\sqrt{d e-c f}}\right)}{\sqrt{f} (b e-a f)^2}",1,"-(((b*c - a*d)*Sqrt[c + d*x])/(b*(b*e - a*f)*(a + b*x))) + (2*(d*e - c*f)^(3/2)*ArcTan[(Sqrt[f]*Sqrt[c + d*x])/Sqrt[d*e - c*f]])/(Sqrt[f]*(b*e - a*f)^2) - (Sqrt[b*c - a*d]*(3*b*d*e - 2*b*c*f - a*d*f)*ArcTanh[(Sqrt[b]*Sqrt[c + d*x])/Sqrt[b*c - a*d]])/(b^(3/2)*(b*e - a*f)^2)","A",6,5,24,0.2083,1,"{98, 156, 63, 208, 205}"
1718,1,83,0,0.0439221,"\int (a+b x) (A+B x) (d+e x)^{7/2} \, dx","Int[(a + b*x)*(A + B*x)*(d + e*x)^(7/2),x]","-\frac{2 (d+e x)^{11/2} (-a B e-A b e+2 b B d)}{11 e^3}+\frac{2 (d+e x)^{9/2} (b d-a e) (B d-A e)}{9 e^3}+\frac{2 b B (d+e x)^{13/2}}{13 e^3}","-\frac{2 (d+e x)^{11/2} (-a B e-A b e+2 b B d)}{11 e^3}+\frac{2 (d+e x)^{9/2} (b d-a e) (B d-A e)}{9 e^3}+\frac{2 b B (d+e x)^{13/2}}{13 e^3}",1,"(2*(b*d - a*e)*(B*d - A*e)*(d + e*x)^(9/2))/(9*e^3) - (2*(2*b*B*d - A*b*e - a*B*e)*(d + e*x)^(11/2))/(11*e^3) + (2*b*B*(d + e*x)^(13/2))/(13*e^3)","A",2,1,20,0.05000,1,"{77}"
1719,1,83,0,0.0350631,"\int (a+b x) (A+B x) (d+e x)^{5/2} \, dx","Int[(a + b*x)*(A + B*x)*(d + e*x)^(5/2),x]","-\frac{2 (d+e x)^{9/2} (-a B e-A b e+2 b B d)}{9 e^3}+\frac{2 (d+e x)^{7/2} (b d-a e) (B d-A e)}{7 e^3}+\frac{2 b B (d+e x)^{11/2}}{11 e^3}","-\frac{2 (d+e x)^{9/2} (-a B e-A b e+2 b B d)}{9 e^3}+\frac{2 (d+e x)^{7/2} (b d-a e) (B d-A e)}{7 e^3}+\frac{2 b B (d+e x)^{11/2}}{11 e^3}",1,"(2*(b*d - a*e)*(B*d - A*e)*(d + e*x)^(7/2))/(7*e^3) - (2*(2*b*B*d - A*b*e - a*B*e)*(d + e*x)^(9/2))/(9*e^3) + (2*b*B*(d + e*x)^(11/2))/(11*e^3)","A",2,1,20,0.05000,1,"{77}"
1720,1,83,0,0.0348659,"\int (a+b x) (A+B x) (d+e x)^{3/2} \, dx","Int[(a + b*x)*(A + B*x)*(d + e*x)^(3/2),x]","-\frac{2 (d+e x)^{7/2} (-a B e-A b e+2 b B d)}{7 e^3}+\frac{2 (d+e x)^{5/2} (b d-a e) (B d-A e)}{5 e^3}+\frac{2 b B (d+e x)^{9/2}}{9 e^3}","-\frac{2 (d+e x)^{7/2} (-a B e-A b e+2 b B d)}{7 e^3}+\frac{2 (d+e x)^{5/2} (b d-a e) (B d-A e)}{5 e^3}+\frac{2 b B (d+e x)^{9/2}}{9 e^3}",1,"(2*(b*d - a*e)*(B*d - A*e)*(d + e*x)^(5/2))/(5*e^3) - (2*(2*b*B*d - A*b*e - a*B*e)*(d + e*x)^(7/2))/(7*e^3) + (2*b*B*(d + e*x)^(9/2))/(9*e^3)","A",2,1,20,0.05000,1,"{77}"
1721,1,83,0,0.0359425,"\int (a+b x) (A+B x) \sqrt{d+e x} \, dx","Int[(a + b*x)*(A + B*x)*Sqrt[d + e*x],x]","-\frac{2 (d+e x)^{5/2} (-a B e-A b e+2 b B d)}{5 e^3}+\frac{2 (d+e x)^{3/2} (b d-a e) (B d-A e)}{3 e^3}+\frac{2 b B (d+e x)^{7/2}}{7 e^3}","-\frac{2 (d+e x)^{5/2} (-a B e-A b e+2 b B d)}{5 e^3}+\frac{2 (d+e x)^{3/2} (b d-a e) (B d-A e)}{3 e^3}+\frac{2 b B (d+e x)^{7/2}}{7 e^3}",1,"(2*(b*d - a*e)*(B*d - A*e)*(d + e*x)^(3/2))/(3*e^3) - (2*(2*b*B*d - A*b*e - a*B*e)*(d + e*x)^(5/2))/(5*e^3) + (2*b*B*(d + e*x)^(7/2))/(7*e^3)","A",2,1,20,0.05000,1,"{77}"
1722,1,81,0,0.0344749,"\int \frac{(a+b x) (A+B x)}{\sqrt{d+e x}} \, dx","Int[((a + b*x)*(A + B*x))/Sqrt[d + e*x],x]","-\frac{2 (d+e x)^{3/2} (-a B e-A b e+2 b B d)}{3 e^3}+\frac{2 \sqrt{d+e x} (b d-a e) (B d-A e)}{e^3}+\frac{2 b B (d+e x)^{5/2}}{5 e^3}","-\frac{2 (d+e x)^{3/2} (-a B e-A b e+2 b B d)}{3 e^3}+\frac{2 \sqrt{d+e x} (b d-a e) (B d-A e)}{e^3}+\frac{2 b B (d+e x)^{5/2}}{5 e^3}",1,"(2*(b*d - a*e)*(B*d - A*e)*Sqrt[d + e*x])/e^3 - (2*(2*b*B*d - A*b*e - a*B*e)*(d + e*x)^(3/2))/(3*e^3) + (2*b*B*(d + e*x)^(5/2))/(5*e^3)","A",2,1,20,0.05000,1,"{77}"
1723,1,79,0,0.0347482,"\int \frac{(a+b x) (A+B x)}{(d+e x)^{3/2}} \, dx","Int[((a + b*x)*(A + B*x))/(d + e*x)^(3/2),x]","-\frac{2 \sqrt{d+e x} (-a B e-A b e+2 b B d)}{e^3}-\frac{2 (b d-a e) (B d-A e)}{e^3 \sqrt{d+e x}}+\frac{2 b B (d+e x)^{3/2}}{3 e^3}","-\frac{2 \sqrt{d+e x} (-a B e-A b e+2 b B d)}{e^3}-\frac{2 (b d-a e) (B d-A e)}{e^3 \sqrt{d+e x}}+\frac{2 b B (d+e x)^{3/2}}{3 e^3}",1,"(-2*(b*d - a*e)*(B*d - A*e))/(e^3*Sqrt[d + e*x]) - (2*(2*b*B*d - A*b*e - a*B*e)*Sqrt[d + e*x])/e^3 + (2*b*B*(d + e*x)^(3/2))/(3*e^3)","A",2,1,20,0.05000,1,"{77}"
1724,1,79,0,0.0335756,"\int \frac{(a+b x) (A+B x)}{(d+e x)^{5/2}} \, dx","Int[((a + b*x)*(A + B*x))/(d + e*x)^(5/2),x]","\frac{2 (-a B e-A b e+2 b B d)}{e^3 \sqrt{d+e x}}-\frac{2 (b d-a e) (B d-A e)}{3 e^3 (d+e x)^{3/2}}+\frac{2 b B \sqrt{d+e x}}{e^3}","\frac{2 (-a B e-A b e+2 b B d)}{e^3 \sqrt{d+e x}}-\frac{2 (b d-a e) (B d-A e)}{3 e^3 (d+e x)^{3/2}}+\frac{2 b B \sqrt{d+e x}}{e^3}",1,"(-2*(b*d - a*e)*(B*d - A*e))/(3*e^3*(d + e*x)^(3/2)) + (2*(2*b*B*d - A*b*e - a*B*e))/(e^3*Sqrt[d + e*x]) + (2*b*B*Sqrt[d + e*x])/e^3","A",2,1,20,0.05000,1,"{77}"
1725,1,81,0,0.0376425,"\int \frac{(a+b x) (A+B x)}{(d+e x)^{7/2}} \, dx","Int[((a + b*x)*(A + B*x))/(d + e*x)^(7/2),x]","\frac{2 (-a B e-A b e+2 b B d)}{3 e^3 (d+e x)^{3/2}}-\frac{2 (b d-a e) (B d-A e)}{5 e^3 (d+e x)^{5/2}}-\frac{2 b B}{e^3 \sqrt{d+e x}}","\frac{2 (-a B e-A b e+2 b B d)}{3 e^3 (d+e x)^{3/2}}-\frac{2 (b d-a e) (B d-A e)}{5 e^3 (d+e x)^{5/2}}-\frac{2 b B}{e^3 \sqrt{d+e x}}",1,"(-2*(b*d - a*e)*(B*d - A*e))/(5*e^3*(d + e*x)^(5/2)) + (2*(2*b*B*d - A*b*e - a*B*e))/(3*e^3*(d + e*x)^(3/2)) - (2*b*B)/(e^3*Sqrt[d + e*x])","A",2,1,20,0.05000,1,"{77}"
1726,1,128,0,0.0716886,"\int (a+b x)^2 (A+B x) (d+e x)^{7/2} \, dx","Int[(a + b*x)^2*(A + B*x)*(d + e*x)^(7/2),x]","-\frac{2 b (d+e x)^{13/2} (-2 a B e-A b e+3 b B d)}{13 e^4}+\frac{2 (d+e x)^{11/2} (b d-a e) (-a B e-2 A b e+3 b B d)}{11 e^4}-\frac{2 (d+e x)^{9/2} (b d-a e)^2 (B d-A e)}{9 e^4}+\frac{2 b^2 B (d+e x)^{15/2}}{15 e^4}","-\frac{2 b (d+e x)^{13/2} (-2 a B e-A b e+3 b B d)}{13 e^4}+\frac{2 (d+e x)^{11/2} (b d-a e) (-a B e-2 A b e+3 b B d)}{11 e^4}-\frac{2 (d+e x)^{9/2} (b d-a e)^2 (B d-A e)}{9 e^4}+\frac{2 b^2 B (d+e x)^{15/2}}{15 e^4}",1,"(-2*(b*d - a*e)^2*(B*d - A*e)*(d + e*x)^(9/2))/(9*e^4) + (2*(b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e)*(d + e*x)^(11/2))/(11*e^4) - (2*b*(3*b*B*d - A*b*e - 2*a*B*e)*(d + e*x)^(13/2))/(13*e^4) + (2*b^2*B*(d + e*x)^(15/2))/(15*e^4)","A",2,1,22,0.04545,1,"{77}"
1727,1,128,0,0.0525534,"\int (a+b x)^2 (A+B x) (d+e x)^{5/2} \, dx","Int[(a + b*x)^2*(A + B*x)*(d + e*x)^(5/2),x]","-\frac{2 b (d+e x)^{11/2} (-2 a B e-A b e+3 b B d)}{11 e^4}+\frac{2 (d+e x)^{9/2} (b d-a e) (-a B e-2 A b e+3 b B d)}{9 e^4}-\frac{2 (d+e x)^{7/2} (b d-a e)^2 (B d-A e)}{7 e^4}+\frac{2 b^2 B (d+e x)^{13/2}}{13 e^4}","-\frac{2 b (d+e x)^{11/2} (-2 a B e-A b e+3 b B d)}{11 e^4}+\frac{2 (d+e x)^{9/2} (b d-a e) (-a B e-2 A b e+3 b B d)}{9 e^4}-\frac{2 (d+e x)^{7/2} (b d-a e)^2 (B d-A e)}{7 e^4}+\frac{2 b^2 B (d+e x)^{13/2}}{13 e^4}",1,"(-2*(b*d - a*e)^2*(B*d - A*e)*(d + e*x)^(7/2))/(7*e^4) + (2*(b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e)*(d + e*x)^(9/2))/(9*e^4) - (2*b*(3*b*B*d - A*b*e - 2*a*B*e)*(d + e*x)^(11/2))/(11*e^4) + (2*b^2*B*(d + e*x)^(13/2))/(13*e^4)","A",2,1,22,0.04545,1,"{77}"
1728,1,128,0,0.0522237,"\int (a+b x)^2 (A+B x) (d+e x)^{3/2} \, dx","Int[(a + b*x)^2*(A + B*x)*(d + e*x)^(3/2),x]","-\frac{2 b (d+e x)^{9/2} (-2 a B e-A b e+3 b B d)}{9 e^4}+\frac{2 (d+e x)^{7/2} (b d-a e) (-a B e-2 A b e+3 b B d)}{7 e^4}-\frac{2 (d+e x)^{5/2} (b d-a e)^2 (B d-A e)}{5 e^4}+\frac{2 b^2 B (d+e x)^{11/2}}{11 e^4}","-\frac{2 b (d+e x)^{9/2} (-2 a B e-A b e+3 b B d)}{9 e^4}+\frac{2 (d+e x)^{7/2} (b d-a e) (-a B e-2 A b e+3 b B d)}{7 e^4}-\frac{2 (d+e x)^{5/2} (b d-a e)^2 (B d-A e)}{5 e^4}+\frac{2 b^2 B (d+e x)^{11/2}}{11 e^4}",1,"(-2*(b*d - a*e)^2*(B*d - A*e)*(d + e*x)^(5/2))/(5*e^4) + (2*(b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e)*(d + e*x)^(7/2))/(7*e^4) - (2*b*(3*b*B*d - A*b*e - 2*a*B*e)*(d + e*x)^(9/2))/(9*e^4) + (2*b^2*B*(d + e*x)^(11/2))/(11*e^4)","A",2,1,22,0.04545,1,"{77}"
1729,1,128,0,0.0489692,"\int (a+b x)^2 (A+B x) \sqrt{d+e x} \, dx","Int[(a + b*x)^2*(A + B*x)*Sqrt[d + e*x],x]","-\frac{2 b (d+e x)^{7/2} (-2 a B e-A b e+3 b B d)}{7 e^4}+\frac{2 (d+e x)^{5/2} (b d-a e) (-a B e-2 A b e+3 b B d)}{5 e^4}-\frac{2 (d+e x)^{3/2} (b d-a e)^2 (B d-A e)}{3 e^4}+\frac{2 b^2 B (d+e x)^{9/2}}{9 e^4}","-\frac{2 b (d+e x)^{7/2} (-2 a B e-A b e+3 b B d)}{7 e^4}+\frac{2 (d+e x)^{5/2} (b d-a e) (-a B e-2 A b e+3 b B d)}{5 e^4}-\frac{2 (d+e x)^{3/2} (b d-a e)^2 (B d-A e)}{3 e^4}+\frac{2 b^2 B (d+e x)^{9/2}}{9 e^4}",1,"(-2*(b*d - a*e)^2*(B*d - A*e)*(d + e*x)^(3/2))/(3*e^4) + (2*(b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e)*(d + e*x)^(5/2))/(5*e^4) - (2*b*(3*b*B*d - A*b*e - 2*a*B*e)*(d + e*x)^(7/2))/(7*e^4) + (2*b^2*B*(d + e*x)^(9/2))/(9*e^4)","A",2,1,22,0.04545,1,"{77}"
1730,1,126,0,0.0503011,"\int \frac{(a+b x)^2 (A+B x)}{\sqrt{d+e x}} \, dx","Int[((a + b*x)^2*(A + B*x))/Sqrt[d + e*x],x]","-\frac{2 b (d+e x)^{5/2} (-2 a B e-A b e+3 b B d)}{5 e^4}+\frac{2 (d+e x)^{3/2} (b d-a e) (-a B e-2 A b e+3 b B d)}{3 e^4}-\frac{2 \sqrt{d+e x} (b d-a e)^2 (B d-A e)}{e^4}+\frac{2 b^2 B (d+e x)^{7/2}}{7 e^4}","-\frac{2 b (d+e x)^{5/2} (-2 a B e-A b e+3 b B d)}{5 e^4}+\frac{2 (d+e x)^{3/2} (b d-a e) (-a B e-2 A b e+3 b B d)}{3 e^4}-\frac{2 \sqrt{d+e x} (b d-a e)^2 (B d-A e)}{e^4}+\frac{2 b^2 B (d+e x)^{7/2}}{7 e^4}",1,"(-2*(b*d - a*e)^2*(B*d - A*e)*Sqrt[d + e*x])/e^4 + (2*(b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e)*(d + e*x)^(3/2))/(3*e^4) - (2*b*(3*b*B*d - A*b*e - 2*a*B*e)*(d + e*x)^(5/2))/(5*e^4) + (2*b^2*B*(d + e*x)^(7/2))/(7*e^4)","A",2,1,22,0.04545,1,"{77}"
1731,1,124,0,0.0516942,"\int \frac{(a+b x)^2 (A+B x)}{(d+e x)^{3/2}} \, dx","Int[((a + b*x)^2*(A + B*x))/(d + e*x)^(3/2),x]","-\frac{2 b (d+e x)^{3/2} (-2 a B e-A b e+3 b B d)}{3 e^4}+\frac{2 \sqrt{d+e x} (b d-a e) (-a B e-2 A b e+3 b B d)}{e^4}+\frac{2 (b d-a e)^2 (B d-A e)}{e^4 \sqrt{d+e x}}+\frac{2 b^2 B (d+e x)^{5/2}}{5 e^4}","-\frac{2 b (d+e x)^{3/2} (-2 a B e-A b e+3 b B d)}{3 e^4}+\frac{2 \sqrt{d+e x} (b d-a e) (-a B e-2 A b e+3 b B d)}{e^4}+\frac{2 (b d-a e)^2 (B d-A e)}{e^4 \sqrt{d+e x}}+\frac{2 b^2 B (d+e x)^{5/2}}{5 e^4}",1,"(2*(b*d - a*e)^2*(B*d - A*e))/(e^4*Sqrt[d + e*x]) + (2*(b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e)*Sqrt[d + e*x])/e^4 - (2*b*(3*b*B*d - A*b*e - 2*a*B*e)*(d + e*x)^(3/2))/(3*e^4) + (2*b^2*B*(d + e*x)^(5/2))/(5*e^4)","A",2,1,22,0.04545,1,"{77}"
1732,1,124,0,0.0520287,"\int \frac{(a+b x)^2 (A+B x)}{(d+e x)^{5/2}} \, dx","Int[((a + b*x)^2*(A + B*x))/(d + e*x)^(5/2),x]","-\frac{2 b \sqrt{d+e x} (-2 a B e-A b e+3 b B d)}{e^4}-\frac{2 (b d-a e) (-a B e-2 A b e+3 b B d)}{e^4 \sqrt{d+e x}}+\frac{2 (b d-a e)^2 (B d-A e)}{3 e^4 (d+e x)^{3/2}}+\frac{2 b^2 B (d+e x)^{3/2}}{3 e^4}","-\frac{2 b \sqrt{d+e x} (-2 a B e-A b e+3 b B d)}{e^4}-\frac{2 (b d-a e) (-a B e-2 A b e+3 b B d)}{e^4 \sqrt{d+e x}}+\frac{2 (b d-a e)^2 (B d-A e)}{3 e^4 (d+e x)^{3/2}}+\frac{2 b^2 B (d+e x)^{3/2}}{3 e^4}",1,"(2*(b*d - a*e)^2*(B*d - A*e))/(3*e^4*(d + e*x)^(3/2)) - (2*(b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e))/(e^4*Sqrt[d + e*x]) - (2*b*(3*b*B*d - A*b*e - 2*a*B*e)*Sqrt[d + e*x])/e^4 + (2*b^2*B*(d + e*x)^(3/2))/(3*e^4)","A",2,1,22,0.04545,1,"{77}"
1733,1,124,0,0.0517708,"\int \frac{(a+b x)^2 (A+B x)}{(d+e x)^{7/2}} \, dx","Int[((a + b*x)^2*(A + B*x))/(d + e*x)^(7/2),x]","\frac{2 b (-2 a B e-A b e+3 b B d)}{e^4 \sqrt{d+e x}}-\frac{2 (b d-a e) (-a B e-2 A b e+3 b B d)}{3 e^4 (d+e x)^{3/2}}+\frac{2 (b d-a e)^2 (B d-A e)}{5 e^4 (d+e x)^{5/2}}+\frac{2 b^2 B \sqrt{d+e x}}{e^4}","\frac{2 b (-2 a B e-A b e+3 b B d)}{e^4 \sqrt{d+e x}}-\frac{2 (b d-a e) (-a B e-2 A b e+3 b B d)}{3 e^4 (d+e x)^{3/2}}+\frac{2 (b d-a e)^2 (B d-A e)}{5 e^4 (d+e x)^{5/2}}+\frac{2 b^2 B \sqrt{d+e x}}{e^4}",1,"(2*(b*d - a*e)^2*(B*d - A*e))/(5*e^4*(d + e*x)^(5/2)) - (2*(b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e))/(3*e^4*(d + e*x)^(3/2)) + (2*b*(3*b*B*d - A*b*e - 2*a*B*e))/(e^4*Sqrt[d + e*x]) + (2*b^2*B*Sqrt[d + e*x])/e^4","A",2,1,22,0.04545,1,"{77}"
1734,1,173,0,0.1056971,"\int (a+b x)^3 (A+B x) (d+e x)^{7/2} \, dx","Int[(a + b*x)^3*(A + B*x)*(d + e*x)^(7/2),x]","-\frac{2 b^2 (d+e x)^{15/2} (-3 a B e-A b e+4 b B d)}{15 e^5}+\frac{6 b (d+e x)^{13/2} (b d-a e) (-a B e-A b e+2 b B d)}{13 e^5}-\frac{2 (d+e x)^{11/2} (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{11 e^5}+\frac{2 (d+e x)^{9/2} (b d-a e)^3 (B d-A e)}{9 e^5}+\frac{2 b^3 B (d+e x)^{17/2}}{17 e^5}","-\frac{2 b^2 (d+e x)^{15/2} (-3 a B e-A b e+4 b B d)}{15 e^5}+\frac{6 b (d+e x)^{13/2} (b d-a e) (-a B e-A b e+2 b B d)}{13 e^5}-\frac{2 (d+e x)^{11/2} (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{11 e^5}+\frac{2 (d+e x)^{9/2} (b d-a e)^3 (B d-A e)}{9 e^5}+\frac{2 b^3 B (d+e x)^{17/2}}{17 e^5}",1,"(2*(b*d - a*e)^3*(B*d - A*e)*(d + e*x)^(9/2))/(9*e^5) - (2*(b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e)*(d + e*x)^(11/2))/(11*e^5) + (6*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e)*(d + e*x)^(13/2))/(13*e^5) - (2*b^2*(4*b*B*d - A*b*e - 3*a*B*e)*(d + e*x)^(15/2))/(15*e^5) + (2*b^3*B*(d + e*x)^(17/2))/(17*e^5)","A",2,1,22,0.04545,1,"{77}"
1735,1,173,0,0.0762144,"\int (a+b x)^3 (A+B x) (d+e x)^{5/2} \, dx","Int[(a + b*x)^3*(A + B*x)*(d + e*x)^(5/2),x]","-\frac{2 b^2 (d+e x)^{13/2} (-3 a B e-A b e+4 b B d)}{13 e^5}+\frac{6 b (d+e x)^{11/2} (b d-a e) (-a B e-A b e+2 b B d)}{11 e^5}-\frac{2 (d+e x)^{9/2} (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{9 e^5}+\frac{2 (d+e x)^{7/2} (b d-a e)^3 (B d-A e)}{7 e^5}+\frac{2 b^3 B (d+e x)^{15/2}}{15 e^5}","-\frac{2 b^2 (d+e x)^{13/2} (-3 a B e-A b e+4 b B d)}{13 e^5}+\frac{6 b (d+e x)^{11/2} (b d-a e) (-a B e-A b e+2 b B d)}{11 e^5}-\frac{2 (d+e x)^{9/2} (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{9 e^5}+\frac{2 (d+e x)^{7/2} (b d-a e)^3 (B d-A e)}{7 e^5}+\frac{2 b^3 B (d+e x)^{15/2}}{15 e^5}",1,"(2*(b*d - a*e)^3*(B*d - A*e)*(d + e*x)^(7/2))/(7*e^5) - (2*(b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e)*(d + e*x)^(9/2))/(9*e^5) + (6*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e)*(d + e*x)^(11/2))/(11*e^5) - (2*b^2*(4*b*B*d - A*b*e - 3*a*B*e)*(d + e*x)^(13/2))/(13*e^5) + (2*b^3*B*(d + e*x)^(15/2))/(15*e^5)","A",2,1,22,0.04545,1,"{77}"
1736,1,173,0,0.0693775,"\int (a+b x)^3 (A+B x) (d+e x)^{3/2} \, dx","Int[(a + b*x)^3*(A + B*x)*(d + e*x)^(3/2),x]","-\frac{2 b^2 (d+e x)^{11/2} (-3 a B e-A b e+4 b B d)}{11 e^5}+\frac{2 b (d+e x)^{9/2} (b d-a e) (-a B e-A b e+2 b B d)}{3 e^5}-\frac{2 (d+e x)^{7/2} (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{7 e^5}+\frac{2 (d+e x)^{5/2} (b d-a e)^3 (B d-A e)}{5 e^5}+\frac{2 b^3 B (d+e x)^{13/2}}{13 e^5}","-\frac{2 b^2 (d+e x)^{11/2} (-3 a B e-A b e+4 b B d)}{11 e^5}+\frac{2 b (d+e x)^{9/2} (b d-a e) (-a B e-A b e+2 b B d)}{3 e^5}-\frac{2 (d+e x)^{7/2} (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{7 e^5}+\frac{2 (d+e x)^{5/2} (b d-a e)^3 (B d-A e)}{5 e^5}+\frac{2 b^3 B (d+e x)^{13/2}}{13 e^5}",1,"(2*(b*d - a*e)^3*(B*d - A*e)*(d + e*x)^(5/2))/(5*e^5) - (2*(b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e)*(d + e*x)^(7/2))/(7*e^5) + (2*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e)*(d + e*x)^(9/2))/(3*e^5) - (2*b^2*(4*b*B*d - A*b*e - 3*a*B*e)*(d + e*x)^(11/2))/(11*e^5) + (2*b^3*B*(d + e*x)^(13/2))/(13*e^5)","A",2,1,22,0.04545,1,"{77}"
1737,1,173,0,0.075903,"\int (a+b x)^3 (A+B x) \sqrt{d+e x} \, dx","Int[(a + b*x)^3*(A + B*x)*Sqrt[d + e*x],x]","-\frac{2 b^2 (d+e x)^{9/2} (-3 a B e-A b e+4 b B d)}{9 e^5}+\frac{6 b (d+e x)^{7/2} (b d-a e) (-a B e-A b e+2 b B d)}{7 e^5}-\frac{2 (d+e x)^{5/2} (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{5 e^5}+\frac{2 (d+e x)^{3/2} (b d-a e)^3 (B d-A e)}{3 e^5}+\frac{2 b^3 B (d+e x)^{11/2}}{11 e^5}","-\frac{2 b^2 (d+e x)^{9/2} (-3 a B e-A b e+4 b B d)}{9 e^5}+\frac{6 b (d+e x)^{7/2} (b d-a e) (-a B e-A b e+2 b B d)}{7 e^5}-\frac{2 (d+e x)^{5/2} (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{5 e^5}+\frac{2 (d+e x)^{3/2} (b d-a e)^3 (B d-A e)}{3 e^5}+\frac{2 b^3 B (d+e x)^{11/2}}{11 e^5}",1,"(2*(b*d - a*e)^3*(B*d - A*e)*(d + e*x)^(3/2))/(3*e^5) - (2*(b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e)*(d + e*x)^(5/2))/(5*e^5) + (6*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e)*(d + e*x)^(7/2))/(7*e^5) - (2*b^2*(4*b*B*d - A*b*e - 3*a*B*e)*(d + e*x)^(9/2))/(9*e^5) + (2*b^3*B*(d + e*x)^(11/2))/(11*e^5)","A",2,1,22,0.04545,1,"{77}"
1738,1,171,0,0.0682577,"\int \frac{(a+b x)^3 (A+B x)}{\sqrt{d+e x}} \, dx","Int[((a + b*x)^3*(A + B*x))/Sqrt[d + e*x],x]","-\frac{2 b^2 (d+e x)^{7/2} (-3 a B e-A b e+4 b B d)}{7 e^5}+\frac{6 b (d+e x)^{5/2} (b d-a e) (-a B e-A b e+2 b B d)}{5 e^5}-\frac{2 (d+e x)^{3/2} (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{3 e^5}+\frac{2 \sqrt{d+e x} (b d-a e)^3 (B d-A e)}{e^5}+\frac{2 b^3 B (d+e x)^{9/2}}{9 e^5}","-\frac{2 b^2 (d+e x)^{7/2} (-3 a B e-A b e+4 b B d)}{7 e^5}+\frac{6 b (d+e x)^{5/2} (b d-a e) (-a B e-A b e+2 b B d)}{5 e^5}-\frac{2 (d+e x)^{3/2} (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{3 e^5}+\frac{2 \sqrt{d+e x} (b d-a e)^3 (B d-A e)}{e^5}+\frac{2 b^3 B (d+e x)^{9/2}}{9 e^5}",1,"(2*(b*d - a*e)^3*(B*d - A*e)*Sqrt[d + e*x])/e^5 - (2*(b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e)*(d + e*x)^(3/2))/(3*e^5) + (6*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e)*(d + e*x)^(5/2))/(5*e^5) - (2*b^2*(4*b*B*d - A*b*e - 3*a*B*e)*(d + e*x)^(7/2))/(7*e^5) + (2*b^3*B*(d + e*x)^(9/2))/(9*e^5)","A",2,1,22,0.04545,1,"{77}"
1739,1,167,0,0.067525,"\int \frac{(a+b x)^3 (A+B x)}{(d+e x)^{3/2}} \, dx","Int[((a + b*x)^3*(A + B*x))/(d + e*x)^(3/2),x]","-\frac{2 b^2 (d+e x)^{5/2} (-3 a B e-A b e+4 b B d)}{5 e^5}+\frac{2 b (d+e x)^{3/2} (b d-a e) (-a B e-A b e+2 b B d)}{e^5}-\frac{2 \sqrt{d+e x} (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{e^5}-\frac{2 (b d-a e)^3 (B d-A e)}{e^5 \sqrt{d+e x}}+\frac{2 b^3 B (d+e x)^{7/2}}{7 e^5}","-\frac{2 b^2 (d+e x)^{5/2} (-3 a B e-A b e+4 b B d)}{5 e^5}+\frac{2 b (d+e x)^{3/2} (b d-a e) (-a B e-A b e+2 b B d)}{e^5}-\frac{2 \sqrt{d+e x} (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{e^5}-\frac{2 (b d-a e)^3 (B d-A e)}{e^5 \sqrt{d+e x}}+\frac{2 b^3 B (d+e x)^{7/2}}{7 e^5}",1,"(-2*(b*d - a*e)^3*(B*d - A*e))/(e^5*Sqrt[d + e*x]) - (2*(b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e)*Sqrt[d + e*x])/e^5 + (2*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e)*(d + e*x)^(3/2))/e^5 - (2*b^2*(4*b*B*d - A*b*e - 3*a*B*e)*(d + e*x)^(5/2))/(5*e^5) + (2*b^3*B*(d + e*x)^(7/2))/(7*e^5)","A",2,1,22,0.04545,1,"{77}"
1740,1,169,0,0.0666049,"\int \frac{(a+b x)^3 (A+B x)}{(d+e x)^{5/2}} \, dx","Int[((a + b*x)^3*(A + B*x))/(d + e*x)^(5/2),x]","-\frac{2 b^2 (d+e x)^{3/2} (-3 a B e-A b e+4 b B d)}{3 e^5}+\frac{6 b \sqrt{d+e x} (b d-a e) (-a B e-A b e+2 b B d)}{e^5}+\frac{2 (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{e^5 \sqrt{d+e x}}-\frac{2 (b d-a e)^3 (B d-A e)}{3 e^5 (d+e x)^{3/2}}+\frac{2 b^3 B (d+e x)^{5/2}}{5 e^5}","-\frac{2 b^2 (d+e x)^{3/2} (-3 a B e-A b e+4 b B d)}{3 e^5}+\frac{6 b \sqrt{d+e x} (b d-a e) (-a B e-A b e+2 b B d)}{e^5}+\frac{2 (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{e^5 \sqrt{d+e x}}-\frac{2 (b d-a e)^3 (B d-A e)}{3 e^5 (d+e x)^{3/2}}+\frac{2 b^3 B (d+e x)^{5/2}}{5 e^5}",1,"(-2*(b*d - a*e)^3*(B*d - A*e))/(3*e^5*(d + e*x)^(3/2)) + (2*(b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e))/(e^5*Sqrt[d + e*x]) + (6*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e)*Sqrt[d + e*x])/e^5 - (2*b^2*(4*b*B*d - A*b*e - 3*a*B*e)*(d + e*x)^(3/2))/(3*e^5) + (2*b^3*B*(d + e*x)^(5/2))/(5*e^5)","A",2,1,22,0.04545,1,"{77}"
1741,1,169,0,0.0665374,"\int \frac{(a+b x)^3 (A+B x)}{(d+e x)^{7/2}} \, dx","Int[((a + b*x)^3*(A + B*x))/(d + e*x)^(7/2),x]","-\frac{2 b^2 \sqrt{d+e x} (-3 a B e-A b e+4 b B d)}{e^5}-\frac{6 b (b d-a e) (-a B e-A b e+2 b B d)}{e^5 \sqrt{d+e x}}+\frac{2 (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{3 e^5 (d+e x)^{3/2}}-\frac{2 (b d-a e)^3 (B d-A e)}{5 e^5 (d+e x)^{5/2}}+\frac{2 b^3 B (d+e x)^{3/2}}{3 e^5}","-\frac{2 b^2 \sqrt{d+e x} (-3 a B e-A b e+4 b B d)}{e^5}-\frac{6 b (b d-a e) (-a B e-A b e+2 b B d)}{e^5 \sqrt{d+e x}}+\frac{2 (b d-a e)^2 (-a B e-3 A b e+4 b B d)}{3 e^5 (d+e x)^{3/2}}-\frac{2 (b d-a e)^3 (B d-A e)}{5 e^5 (d+e x)^{5/2}}+\frac{2 b^3 B (d+e x)^{3/2}}{3 e^5}",1,"(-2*(b*d - a*e)^3*(B*d - A*e))/(5*e^5*(d + e*x)^(5/2)) + (2*(b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e))/(3*e^5*(d + e*x)^(3/2)) - (6*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e))/(e^5*Sqrt[d + e*x]) - (2*b^2*(4*b*B*d - A*b*e - 3*a*B*e)*Sqrt[d + e*x])/e^5 + (2*b^3*B*(d + e*x)^(3/2))/(3*e^5)","A",2,1,22,0.04545,1,"{77}"
1742,1,198,0,0.2145431,"\int \frac{(A+B x) (d+e x)^{7/2}}{a+b x} \, dx","Int[((A + B*x)*(d + e*x)^(7/2))/(a + b*x),x]","\frac{2 (d+e x)^{7/2} (A b-a B)}{7 b^2}+\frac{2 (d+e x)^{5/2} (A b-a B) (b d-a e)}{5 b^3}+\frac{2 (d+e x)^{3/2} (A b-a B) (b d-a e)^2}{3 b^4}+\frac{2 \sqrt{d+e x} (A b-a B) (b d-a e)^3}{b^5}-\frac{2 (A b-a B) (b d-a e)^{7/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{11/2}}+\frac{2 B (d+e x)^{9/2}}{9 b e}","\frac{2 (d+e x)^{7/2} (A b-a B)}{7 b^2}+\frac{2 (d+e x)^{5/2} (A b-a B) (b d-a e)}{5 b^3}+\frac{2 (d+e x)^{3/2} (A b-a B) (b d-a e)^2}{3 b^4}+\frac{2 \sqrt{d+e x} (A b-a B) (b d-a e)^3}{b^5}-\frac{2 (A b-a B) (b d-a e)^{7/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{11/2}}+\frac{2 B (d+e x)^{9/2}}{9 b e}",1,"(2*(A*b - a*B)*(b*d - a*e)^3*Sqrt[d + e*x])/b^5 + (2*(A*b - a*B)*(b*d - a*e)^2*(d + e*x)^(3/2))/(3*b^4) + (2*(A*b - a*B)*(b*d - a*e)*(d + e*x)^(5/2))/(5*b^3) + (2*(A*b - a*B)*(d + e*x)^(7/2))/(7*b^2) + (2*B*(d + e*x)^(9/2))/(9*b*e) - (2*(A*b - a*B)*(b*d - a*e)^(7/2)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/b^(11/2)","A",7,4,22,0.1818,1,"{80, 50, 63, 208}"
1743,1,164,0,0.1046324,"\int \frac{(A+B x) (d+e x)^{5/2}}{a+b x} \, dx","Int[((A + B*x)*(d + e*x)^(5/2))/(a + b*x),x]","\frac{2 (d+e x)^{5/2} (A b-a B)}{5 b^2}+\frac{2 (d+e x)^{3/2} (A b-a B) (b d-a e)}{3 b^3}+\frac{2 \sqrt{d+e x} (A b-a B) (b d-a e)^2}{b^4}-\frac{2 (A b-a B) (b d-a e)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{9/2}}+\frac{2 B (d+e x)^{7/2}}{7 b e}","\frac{2 (d+e x)^{5/2} (A b-a B)}{5 b^2}+\frac{2 (d+e x)^{3/2} (A b-a B) (b d-a e)}{3 b^3}+\frac{2 \sqrt{d+e x} (A b-a B) (b d-a e)^2}{b^4}-\frac{2 (A b-a B) (b d-a e)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{9/2}}+\frac{2 B (d+e x)^{7/2}}{7 b e}",1,"(2*(A*b - a*B)*(b*d - a*e)^2*Sqrt[d + e*x])/b^4 + (2*(A*b - a*B)*(b*d - a*e)*(d + e*x)^(3/2))/(3*b^3) + (2*(A*b - a*B)*(d + e*x)^(5/2))/(5*b^2) + (2*B*(d + e*x)^(7/2))/(7*b*e) - (2*(A*b - a*B)*(b*d - a*e)^(5/2)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/b^(9/2)","A",6,4,22,0.1818,1,"{80, 50, 63, 208}"
1744,1,130,0,0.0764276,"\int \frac{(A+B x) (d+e x)^{3/2}}{a+b x} \, dx","Int[((A + B*x)*(d + e*x)^(3/2))/(a + b*x),x]","\frac{2 (d+e x)^{3/2} (A b-a B)}{3 b^2}+\frac{2 \sqrt{d+e x} (A b-a B) (b d-a e)}{b^3}-\frac{2 (A b-a B) (b d-a e)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{7/2}}+\frac{2 B (d+e x)^{5/2}}{5 b e}","\frac{2 (d+e x)^{3/2} (A b-a B)}{3 b^2}+\frac{2 \sqrt{d+e x} (A b-a B) (b d-a e)}{b^3}-\frac{2 (A b-a B) (b d-a e)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{7/2}}+\frac{2 B (d+e x)^{5/2}}{5 b e}",1,"(2*(A*b - a*B)*(b*d - a*e)*Sqrt[d + e*x])/b^3 + (2*(A*b - a*B)*(d + e*x)^(3/2))/(3*b^2) + (2*B*(d + e*x)^(5/2))/(5*b*e) - (2*(A*b - a*B)*(b*d - a*e)^(3/2)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/b^(7/2)","A",5,4,22,0.1818,1,"{80, 50, 63, 208}"
1745,1,98,0,0.0556543,"\int \frac{(A+B x) \sqrt{d+e x}}{a+b x} \, dx","Int[((A + B*x)*Sqrt[d + e*x])/(a + b*x),x]","\frac{2 \sqrt{d+e x} (A b-a B)}{b^2}-\frac{2 (A b-a B) \sqrt{b d-a e} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{5/2}}+\frac{2 B (d+e x)^{3/2}}{3 b e}","\frac{2 \sqrt{d+e x} (A b-a B)}{b^2}-\frac{2 (A b-a B) \sqrt{b d-a e} \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{5/2}}+\frac{2 B (d+e x)^{3/2}}{3 b e}",1,"(2*(A*b - a*B)*Sqrt[d + e*x])/b^2 + (2*B*(d + e*x)^(3/2))/(3*b*e) - (2*(A*b - a*B)*Sqrt[b*d - a*e]*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/b^(5/2)","A",4,4,22,0.1818,1,"{80, 50, 63, 208}"
1746,1,74,0,0.0414876,"\int \frac{A+B x}{(a+b x) \sqrt{d+e x}} \, dx","Int[(A + B*x)/((a + b*x)*Sqrt[d + e*x]),x]","\frac{2 B \sqrt{d+e x}}{b e}-\frac{2 (A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{3/2} \sqrt{b d-a e}}","\frac{2 B \sqrt{d+e x}}{b e}-\frac{2 (A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{3/2} \sqrt{b d-a e}}",1,"(2*B*Sqrt[d + e*x])/(b*e) - (2*(A*b - a*B)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(b^(3/2)*Sqrt[b*d - a*e])","A",3,3,22,0.1364,1,"{80, 63, 208}"
1747,1,88,0,0.0562895,"\int \frac{A+B x}{(a+b x) (d+e x)^{3/2}} \, dx","Int[(A + B*x)/((a + b*x)*(d + e*x)^(3/2)),x]","-\frac{2 (B d-A e)}{e \sqrt{d+e x} (b d-a e)}-\frac{2 (A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{\sqrt{b} (b d-a e)^{3/2}}","-\frac{2 (B d-A e)}{e \sqrt{d+e x} (b d-a e)}-\frac{2 (A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{\sqrt{b} (b d-a e)^{3/2}}",1,"(-2*(B*d - A*e))/(e*(b*d - a*e)*Sqrt[d + e*x]) - (2*(A*b - a*B)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(Sqrt[b]*(b*d - a*e)^(3/2))","A",3,3,22,0.1364,1,"{78, 63, 208}"
1748,1,119,0,0.0711895,"\int \frac{A+B x}{(a+b x) (d+e x)^{5/2}} \, dx","Int[(A + B*x)/((a + b*x)*(d + e*x)^(5/2)),x]","\frac{2 (A b-a B)}{\sqrt{d+e x} (b d-a e)^2}-\frac{2 (B d-A e)}{3 e (d+e x)^{3/2} (b d-a e)}-\frac{2 \sqrt{b} (A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{(b d-a e)^{5/2}}","\frac{2 (A b-a B)}{\sqrt{d+e x} (b d-a e)^2}-\frac{2 (B d-A e)}{3 e (d+e x)^{3/2} (b d-a e)}-\frac{2 \sqrt{b} (A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{(b d-a e)^{5/2}}",1,"(-2*(B*d - A*e))/(3*e*(b*d - a*e)*(d + e*x)^(3/2)) + (2*(A*b - a*B))/((b*d - a*e)^2*Sqrt[d + e*x]) - (2*Sqrt[b]*(A*b - a*B)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(b*d - a*e)^(5/2)","A",4,4,22,0.1818,1,"{78, 51, 63, 208}"
1749,1,151,0,0.0949952,"\int \frac{A+B x}{(a+b x) (d+e x)^{7/2}} \, dx","Int[(A + B*x)/((a + b*x)*(d + e*x)^(7/2)),x]","-\frac{2 b^{3/2} (A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{(b d-a e)^{7/2}}+\frac{2 b (A b-a B)}{\sqrt{d+e x} (b d-a e)^3}+\frac{2 (A b-a B)}{3 (d+e x)^{3/2} (b d-a e)^2}-\frac{2 (B d-A e)}{5 e (d+e x)^{5/2} (b d-a e)}","-\frac{2 b^{3/2} (A b-a B) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{(b d-a e)^{7/2}}+\frac{2 b (A b-a B)}{\sqrt{d+e x} (b d-a e)^3}+\frac{2 (A b-a B)}{3 (d+e x)^{3/2} (b d-a e)^2}-\frac{2 (B d-A e)}{5 e (d+e x)^{5/2} (b d-a e)}",1,"(-2*(B*d - A*e))/(5*e*(b*d - a*e)*(d + e*x)^(5/2)) + (2*(A*b - a*B))/(3*(b*d - a*e)^2*(d + e*x)^(3/2)) + (2*b*(A*b - a*B))/((b*d - a*e)^3*Sqrt[d + e*x]) - (2*b^(3/2)*(A*b - a*B)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(b*d - a*e)^(7/2)","A",5,4,22,0.1818,1,"{78, 51, 63, 208}"
1750,1,256,0,0.2332336,"\int \frac{(A+B x) (d+e x)^{7/2}}{(a+b x)^2} \, dx","Int[((A + B*x)*(d + e*x)^(7/2))/(a + b*x)^2,x]","\frac{(d+e x)^{7/2} (-9 a B e+7 A b e+2 b B d)}{7 b^2 (b d-a e)}+\frac{(d+e x)^{5/2} (-9 a B e+7 A b e+2 b B d)}{5 b^3}+\frac{(d+e x)^{3/2} (b d-a e) (-9 a B e+7 A b e+2 b B d)}{3 b^4}+\frac{\sqrt{d+e x} (b d-a e)^2 (-9 a B e+7 A b e+2 b B d)}{b^5}-\frac{(b d-a e)^{5/2} (-9 a B e+7 A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{11/2}}-\frac{(d+e x)^{9/2} (A b-a B)}{b (a+b x) (b d-a e)}","\frac{(d+e x)^{7/2} (-9 a B e+7 A b e+2 b B d)}{7 b^2 (b d-a e)}+\frac{(d+e x)^{5/2} (-9 a B e+7 A b e+2 b B d)}{5 b^3}+\frac{(d+e x)^{3/2} (b d-a e) (-9 a B e+7 A b e+2 b B d)}{3 b^4}+\frac{\sqrt{d+e x} (b d-a e)^2 (-9 a B e+7 A b e+2 b B d)}{b^5}-\frac{(b d-a e)^{5/2} (-9 a B e+7 A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{11/2}}-\frac{(d+e x)^{9/2} (A b-a B)}{b (a+b x) (b d-a e)}",1,"((b*d - a*e)^2*(2*b*B*d + 7*A*b*e - 9*a*B*e)*Sqrt[d + e*x])/b^5 + ((b*d - a*e)*(2*b*B*d + 7*A*b*e - 9*a*B*e)*(d + e*x)^(3/2))/(3*b^4) + ((2*b*B*d + 7*A*b*e - 9*a*B*e)*(d + e*x)^(5/2))/(5*b^3) + ((2*b*B*d + 7*A*b*e - 9*a*B*e)*(d + e*x)^(7/2))/(7*b^2*(b*d - a*e)) - ((A*b - a*B)*(d + e*x)^(9/2))/(b*(b*d - a*e)*(a + b*x)) - ((b*d - a*e)^(5/2)*(2*b*B*d + 7*A*b*e - 9*a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/b^(11/2)","A",7,4,22,0.1818,1,"{78, 50, 63, 208}"
1751,1,214,0,0.185857,"\int \frac{(A+B x) (d+e x)^{5/2}}{(a+b x)^2} \, dx","Int[((A + B*x)*(d + e*x)^(5/2))/(a + b*x)^2,x]","\frac{(d+e x)^{5/2} (-7 a B e+5 A b e+2 b B d)}{5 b^2 (b d-a e)}+\frac{(d+e x)^{3/2} (-7 a B e+5 A b e+2 b B d)}{3 b^3}+\frac{\sqrt{d+e x} (b d-a e) (-7 a B e+5 A b e+2 b B d)}{b^4}-\frac{(b d-a e)^{3/2} (-7 a B e+5 A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{9/2}}-\frac{(d+e x)^{7/2} (A b-a B)}{b (a+b x) (b d-a e)}","\frac{(d+e x)^{5/2} (-7 a B e+5 A b e+2 b B d)}{5 b^2 (b d-a e)}+\frac{(d+e x)^{3/2} (-7 a B e+5 A b e+2 b B d)}{3 b^3}+\frac{\sqrt{d+e x} (b d-a e) (-7 a B e+5 A b e+2 b B d)}{b^4}-\frac{(b d-a e)^{3/2} (-7 a B e+5 A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{9/2}}-\frac{(d+e x)^{7/2} (A b-a B)}{b (a+b x) (b d-a e)}",1,"((b*d - a*e)*(2*b*B*d + 5*A*b*e - 7*a*B*e)*Sqrt[d + e*x])/b^4 + ((2*b*B*d + 5*A*b*e - 7*a*B*e)*(d + e*x)^(3/2))/(3*b^3) + ((2*b*B*d + 5*A*b*e - 7*a*B*e)*(d + e*x)^(5/2))/(5*b^2*(b*d - a*e)) - ((A*b - a*B)*(d + e*x)^(7/2))/(b*(b*d - a*e)*(a + b*x)) - ((b*d - a*e)^(3/2)*(2*b*B*d + 5*A*b*e - 7*a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/b^(9/2)","A",6,4,22,0.1818,1,"{78, 50, 63, 208}"
1752,1,174,0,0.1479378,"\int \frac{(A+B x) (d+e x)^{3/2}}{(a+b x)^2} \, dx","Int[((A + B*x)*(d + e*x)^(3/2))/(a + b*x)^2,x]","\frac{(d+e x)^{3/2} (-5 a B e+3 A b e+2 b B d)}{3 b^2 (b d-a e)}+\frac{\sqrt{d+e x} (-5 a B e+3 A b e+2 b B d)}{b^3}-\frac{\sqrt{b d-a e} (-5 a B e+3 A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{7/2}}-\frac{(d+e x)^{5/2} (A b-a B)}{b (a+b x) (b d-a e)}","\frac{(d+e x)^{3/2} (-5 a B e+3 A b e+2 b B d)}{3 b^2 (b d-a e)}+\frac{\sqrt{d+e x} (-5 a B e+3 A b e+2 b B d)}{b^3}-\frac{\sqrt{b d-a e} (-5 a B e+3 A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{7/2}}-\frac{(d+e x)^{5/2} (A b-a B)}{b (a+b x) (b d-a e)}",1,"((2*b*B*d + 3*A*b*e - 5*a*B*e)*Sqrt[d + e*x])/b^3 + ((2*b*B*d + 3*A*b*e - 5*a*B*e)*(d + e*x)^(3/2))/(3*b^2*(b*d - a*e)) - ((A*b - a*B)*(d + e*x)^(5/2))/(b*(b*d - a*e)*(a + b*x)) - (Sqrt[b*d - a*e]*(2*b*B*d + 3*A*b*e - 5*a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/b^(7/2)","A",5,4,22,0.1818,1,"{78, 50, 63, 208}"
1753,1,140,0,0.1139856,"\int \frac{(A+B x) \sqrt{d+e x}}{(a+b x)^2} \, dx","Int[((A + B*x)*Sqrt[d + e*x])/(a + b*x)^2,x]","\frac{\sqrt{d+e x} (-3 a B e+A b e+2 b B d)}{b^2 (b d-a e)}-\frac{(-3 a B e+A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{5/2} \sqrt{b d-a e}}-\frac{(d+e x)^{3/2} (A b-a B)}{b (a+b x) (b d-a e)}","\frac{\sqrt{d+e x} (-3 a B e+A b e+2 b B d)}{b^2 (b d-a e)}-\frac{(-3 a B e+A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{5/2} \sqrt{b d-a e}}-\frac{(d+e x)^{3/2} (A b-a B)}{b (a+b x) (b d-a e)}",1,"((2*b*B*d + A*b*e - 3*a*B*e)*Sqrt[d + e*x])/(b^2*(b*d - a*e)) - ((A*b - a*B)*(d + e*x)^(3/2))/(b*(b*d - a*e)*(a + b*x)) - ((2*b*B*d + A*b*e - 3*a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(b^(5/2)*Sqrt[b*d - a*e])","A",4,4,22,0.1818,1,"{78, 50, 63, 208}"
1754,1,103,0,0.083715,"\int \frac{A+B x}{(a+b x)^2 \sqrt{d+e x}} \, dx","Int[(A + B*x)/((a + b*x)^2*Sqrt[d + e*x]),x]","-\frac{(-a B e-A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{3/2} (b d-a e)^{3/2}}-\frac{\sqrt{d+e x} (A b-a B)}{b (a+b x) (b d-a e)}","-\frac{(-a B e-A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{b^{3/2} (b d-a e)^{3/2}}-\frac{\sqrt{d+e x} (A b-a B)}{b (a+b x) (b d-a e)}",1,"-(((A*b - a*B)*Sqrt[d + e*x])/(b*(b*d - a*e)*(a + b*x))) - ((2*b*B*d - A*b*e - a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(b^(3/2)*(b*d - a*e)^(3/2))","A",3,3,22,0.1364,1,"{78, 63, 208}"
1755,1,140,0,0.1289689,"\int \frac{A+B x}{(a+b x)^2 (d+e x)^{3/2}} \, dx","Int[(A + B*x)/((a + b*x)^2*(d + e*x)^(3/2)),x]","-\frac{A b-a B}{b (a+b x) \sqrt{d+e x} (b d-a e)}+\frac{a B e-3 A b e+2 b B d}{b \sqrt{d+e x} (b d-a e)^2}-\frac{(a B e-3 A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{\sqrt{b} (b d-a e)^{5/2}}","-\frac{A b-a B}{b (a+b x) \sqrt{d+e x} (b d-a e)}+\frac{a B e-3 A b e+2 b B d}{b \sqrt{d+e x} (b d-a e)^2}-\frac{(a B e-3 A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{\sqrt{b} (b d-a e)^{5/2}}",1,"(2*b*B*d - 3*A*b*e + a*B*e)/(b*(b*d - a*e)^2*Sqrt[d + e*x]) - (A*b - a*B)/(b*(b*d - a*e)*(a + b*x)*Sqrt[d + e*x]) - ((2*b*B*d - 3*A*b*e + a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(Sqrt[b]*(b*d - a*e)^(5/2))","A",4,4,22,0.1818,1,"{78, 51, 63, 208}"
1756,1,181,0,0.158126,"\int \frac{A+B x}{(a+b x)^2 (d+e x)^{5/2}} \, dx","Int[(A + B*x)/((a + b*x)^2*(d + e*x)^(5/2)),x]","-\frac{A b-a B}{b (a+b x) (d+e x)^{3/2} (b d-a e)}+\frac{3 a B e-5 A b e+2 b B d}{\sqrt{d+e x} (b d-a e)^3}+\frac{3 a B e-5 A b e+2 b B d}{3 b (d+e x)^{3/2} (b d-a e)^2}-\frac{\sqrt{b} (3 a B e-5 A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{(b d-a e)^{7/2}}","-\frac{A b-a B}{b (a+b x) (d+e x)^{3/2} (b d-a e)}+\frac{3 a B e-5 A b e+2 b B d}{\sqrt{d+e x} (b d-a e)^3}+\frac{3 a B e-5 A b e+2 b B d}{3 b (d+e x)^{3/2} (b d-a e)^2}-\frac{\sqrt{b} (3 a B e-5 A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{(b d-a e)^{7/2}}",1,"(2*b*B*d - 5*A*b*e + 3*a*B*e)/(3*b*(b*d - a*e)^2*(d + e*x)^(3/2)) - (A*b - a*B)/(b*(b*d - a*e)*(a + b*x)*(d + e*x)^(3/2)) + (2*b*B*d - 5*A*b*e + 3*a*B*e)/((b*d - a*e)^3*Sqrt[d + e*x]) - (Sqrt[b]*(2*b*B*d - 5*A*b*e + 3*a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(b*d - a*e)^(7/2)","A",5,4,22,0.1818,1,"{78, 51, 63, 208}"
1757,1,221,0,0.219001,"\int \frac{A+B x}{(a+b x)^2 (d+e x)^{7/2}} \, dx","Int[(A + B*x)/((a + b*x)^2*(d + e*x)^(7/2)),x]","-\frac{b^{3/2} (5 a B e-7 A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{(b d-a e)^{9/2}}+\frac{b (5 a B e-7 A b e+2 b B d)}{\sqrt{d+e x} (b d-a e)^4}+\frac{5 a B e-7 A b e+2 b B d}{3 (d+e x)^{3/2} (b d-a e)^3}+\frac{5 a B e-7 A b e+2 b B d}{5 b (d+e x)^{5/2} (b d-a e)^2}-\frac{A b-a B}{b (a+b x) (d+e x)^{5/2} (b d-a e)}","-\frac{b^{3/2} (5 a B e-7 A b e+2 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{(b d-a e)^{9/2}}+\frac{b (5 a B e-7 A b e+2 b B d)}{\sqrt{d+e x} (b d-a e)^4}+\frac{5 a B e-7 A b e+2 b B d}{3 (d+e x)^{3/2} (b d-a e)^3}+\frac{5 a B e-7 A b e+2 b B d}{5 b (d+e x)^{5/2} (b d-a e)^2}-\frac{A b-a B}{b (a+b x) (d+e x)^{5/2} (b d-a e)}",1,"(2*b*B*d - 7*A*b*e + 5*a*B*e)/(5*b*(b*d - a*e)^2*(d + e*x)^(5/2)) - (A*b - a*B)/(b*(b*d - a*e)*(a + b*x)*(d + e*x)^(5/2)) + (2*b*B*d - 7*A*b*e + 5*a*B*e)/(3*(b*d - a*e)^3*(d + e*x)^(3/2)) + (b*(2*b*B*d - 7*A*b*e + 5*a*B*e))/((b*d - a*e)^4*Sqrt[d + e*x]) - (b^(3/2)*(2*b*B*d - 7*A*b*e + 5*a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(b*d - a*e)^(9/2)","A",6,4,22,0.1818,1,"{78, 51, 63, 208}"
1758,1,274,0,0.2371837,"\int \frac{(A+B x) (d+e x)^{7/2}}{(a+b x)^3} \, dx","Int[((A + B*x)*(d + e*x)^(7/2))/(a + b*x)^3,x]","-\frac{(d+e x)^{7/2} (-9 a B e+5 A b e+4 b B d)}{4 b^2 (a+b x) (b d-a e)}+\frac{7 e (d+e x)^{5/2} (-9 a B e+5 A b e+4 b B d)}{20 b^3 (b d-a e)}+\frac{7 e (d+e x)^{3/2} (-9 a B e+5 A b e+4 b B d)}{12 b^4}+\frac{7 e \sqrt{d+e x} (b d-a e) (-9 a B e+5 A b e+4 b B d)}{4 b^5}-\frac{7 e (b d-a e)^{3/2} (-9 a B e+5 A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 b^{11/2}}-\frac{(d+e x)^{9/2} (A b-a B)}{2 b (a+b x)^2 (b d-a e)}","-\frac{(d+e x)^{7/2} (-9 a B e+5 A b e+4 b B d)}{4 b^2 (a+b x) (b d-a e)}+\frac{7 e (d+e x)^{5/2} (-9 a B e+5 A b e+4 b B d)}{20 b^3 (b d-a e)}+\frac{7 e (d+e x)^{3/2} (-9 a B e+5 A b e+4 b B d)}{12 b^4}+\frac{7 e \sqrt{d+e x} (b d-a e) (-9 a B e+5 A b e+4 b B d)}{4 b^5}-\frac{7 e (b d-a e)^{3/2} (-9 a B e+5 A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 b^{11/2}}-\frac{(d+e x)^{9/2} (A b-a B)}{2 b (a+b x)^2 (b d-a e)}",1,"(7*e*(b*d - a*e)*(4*b*B*d + 5*A*b*e - 9*a*B*e)*Sqrt[d + e*x])/(4*b^5) + (7*e*(4*b*B*d + 5*A*b*e - 9*a*B*e)*(d + e*x)^(3/2))/(12*b^4) + (7*e*(4*b*B*d + 5*A*b*e - 9*a*B*e)*(d + e*x)^(5/2))/(20*b^3*(b*d - a*e)) - ((4*b*B*d + 5*A*b*e - 9*a*B*e)*(d + e*x)^(7/2))/(4*b^2*(b*d - a*e)*(a + b*x)) - ((A*b - a*B)*(d + e*x)^(9/2))/(2*b*(b*d - a*e)*(a + b*x)^2) - (7*e*(b*d - a*e)^(3/2)*(4*b*B*d + 5*A*b*e - 9*a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(4*b^(11/2))","A",7,5,22,0.2273,1,"{78, 47, 50, 63, 208}"
1759,1,233,0,0.1907857,"\int \frac{(A+B x) (d+e x)^{5/2}}{(a+b x)^3} \, dx","Int[((A + B*x)*(d + e*x)^(5/2))/(a + b*x)^3,x]","-\frac{(d+e x)^{5/2} (-7 a B e+3 A b e+4 b B d)}{4 b^2 (a+b x) (b d-a e)}+\frac{5 e (d+e x)^{3/2} (-7 a B e+3 A b e+4 b B d)}{12 b^3 (b d-a e)}+\frac{5 e \sqrt{d+e x} (-7 a B e+3 A b e+4 b B d)}{4 b^4}-\frac{5 e \sqrt{b d-a e} (-7 a B e+3 A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 b^{9/2}}-\frac{(d+e x)^{7/2} (A b-a B)}{2 b (a+b x)^2 (b d-a e)}","-\frac{(d+e x)^{5/2} (-7 a B e+3 A b e+4 b B d)}{4 b^2 (a+b x) (b d-a e)}+\frac{5 e (d+e x)^{3/2} (-7 a B e+3 A b e+4 b B d)}{12 b^3 (b d-a e)}+\frac{5 e \sqrt{d+e x} (-7 a B e+3 A b e+4 b B d)}{4 b^4}-\frac{5 e \sqrt{b d-a e} (-7 a B e+3 A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 b^{9/2}}-\frac{(d+e x)^{7/2} (A b-a B)}{2 b (a+b x)^2 (b d-a e)}",1,"(5*e*(4*b*B*d + 3*A*b*e - 7*a*B*e)*Sqrt[d + e*x])/(4*b^4) + (5*e*(4*b*B*d + 3*A*b*e - 7*a*B*e)*(d + e*x)^(3/2))/(12*b^3*(b*d - a*e)) - ((4*b*B*d + 3*A*b*e - 7*a*B*e)*(d + e*x)^(5/2))/(4*b^2*(b*d - a*e)*(a + b*x)) - ((A*b - a*B)*(d + e*x)^(7/2))/(2*b*(b*d - a*e)*(a + b*x)^2) - (5*e*Sqrt[b*d - a*e]*(4*b*B*d + 3*A*b*e - 7*a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(4*b^(9/2))","A",6,5,22,0.2273,1,"{78, 47, 50, 63, 208}"
1760,1,197,0,0.1469021,"\int \frac{(A+B x) (d+e x)^{3/2}}{(a+b x)^3} \, dx","Int[((A + B*x)*(d + e*x)^(3/2))/(a + b*x)^3,x]","-\frac{(d+e x)^{3/2} (-5 a B e+A b e+4 b B d)}{4 b^2 (a+b x) (b d-a e)}+\frac{3 e \sqrt{d+e x} (-5 a B e+A b e+4 b B d)}{4 b^3 (b d-a e)}-\frac{3 e (-5 a B e+A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 b^{7/2} \sqrt{b d-a e}}-\frac{(d+e x)^{5/2} (A b-a B)}{2 b (a+b x)^2 (b d-a e)}","-\frac{(d+e x)^{3/2} (-5 a B e+A b e+4 b B d)}{4 b^2 (a+b x) (b d-a e)}+\frac{3 e \sqrt{d+e x} (-5 a B e+A b e+4 b B d)}{4 b^3 (b d-a e)}-\frac{3 e (-5 a B e+A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 b^{7/2} \sqrt{b d-a e}}-\frac{(d+e x)^{5/2} (A b-a B)}{2 b (a+b x)^2 (b d-a e)}",1,"(3*e*(4*b*B*d + A*b*e - 5*a*B*e)*Sqrt[d + e*x])/(4*b^3*(b*d - a*e)) - ((4*b*B*d + A*b*e - 5*a*B*e)*(d + e*x)^(3/2))/(4*b^2*(b*d - a*e)*(a + b*x)) - ((A*b - a*B)*(d + e*x)^(5/2))/(2*b*(b*d - a*e)*(a + b*x)^2) - (3*e*(4*b*B*d + A*b*e - 5*a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(4*b^(7/2)*Sqrt[b*d - a*e])","A",5,5,22,0.2273,1,"{78, 47, 50, 63, 208}"
1761,1,157,0,0.1286981,"\int \frac{(A+B x) \sqrt{d+e x}}{(a+b x)^3} \, dx","Int[((A + B*x)*Sqrt[d + e*x])/(a + b*x)^3,x]","-\frac{\sqrt{d+e x} (-3 a B e-A b e+4 b B d)}{4 b^2 (a+b x) (b d-a e)}-\frac{e (-3 a B e-A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 b^{5/2} (b d-a e)^{3/2}}-\frac{(d+e x)^{3/2} (A b-a B)}{2 b (a+b x)^2 (b d-a e)}","-\frac{\sqrt{d+e x} (-3 a B e-A b e+4 b B d)}{4 b^2 (a+b x) (b d-a e)}-\frac{e (-3 a B e-A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 b^{5/2} (b d-a e)^{3/2}}-\frac{(d+e x)^{3/2} (A b-a B)}{2 b (a+b x)^2 (b d-a e)}",1,"-((4*b*B*d - A*b*e - 3*a*B*e)*Sqrt[d + e*x])/(4*b^2*(b*d - a*e)*(a + b*x)) - ((A*b - a*B)*(d + e*x)^(3/2))/(2*b*(b*d - a*e)*(a + b*x)^2) - (e*(4*b*B*d - A*b*e - 3*a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(4*b^(5/2)*(b*d - a*e)^(3/2))","A",4,4,22,0.1818,1,"{78, 47, 63, 208}"
1762,1,157,0,0.1249415,"\int \frac{A+B x}{(a+b x)^3 \sqrt{d+e x}} \, dx","Int[(A + B*x)/((a + b*x)^3*Sqrt[d + e*x]),x]","\frac{e (-a B e-3 A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 b^{3/2} (b d-a e)^{5/2}}-\frac{\sqrt{d+e x} (A b-a B)}{2 b (a+b x)^2 (b d-a e)}-\frac{\sqrt{d+e x} (-a B e-3 A b e+4 b B d)}{4 b (a+b x) (b d-a e)^2}","\frac{e (-a B e-3 A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 b^{3/2} (b d-a e)^{5/2}}-\frac{\sqrt{d+e x} (A b-a B)}{2 b (a+b x)^2 (b d-a e)}-\frac{\sqrt{d+e x} (-a B e-3 A b e+4 b B d)}{4 b (a+b x) (b d-a e)^2}",1,"-((A*b - a*B)*Sqrt[d + e*x])/(2*b*(b*d - a*e)*(a + b*x)^2) - ((4*b*B*d - 3*A*b*e - a*B*e)*Sqrt[d + e*x])/(4*b*(b*d - a*e)^2*(a + b*x)) + (e*(4*b*B*d - 3*A*b*e - a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(4*b^(3/2)*(b*d - a*e)^(5/2))","A",4,4,22,0.1818,1,"{78, 51, 63, 208}"
1763,1,197,0,0.1691476,"\int \frac{A+B x}{(a+b x)^3 (d+e x)^{3/2}} \, dx","Int[(A + B*x)/((a + b*x)^3*(d + e*x)^(3/2)),x]","-\frac{A b-a B}{2 b (a+b x)^2 \sqrt{d+e x} (b d-a e)}-\frac{3 e (a B e-5 A b e+4 b B d)}{4 b \sqrt{d+e x} (b d-a e)^3}-\frac{a B e-5 A b e+4 b B d}{4 b (a+b x) \sqrt{d+e x} (b d-a e)^2}+\frac{3 e (a B e-5 A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 \sqrt{b} (b d-a e)^{7/2}}","-\frac{A b-a B}{2 b (a+b x)^2 \sqrt{d+e x} (b d-a e)}-\frac{3 e (a B e-5 A b e+4 b B d)}{4 b \sqrt{d+e x} (b d-a e)^3}-\frac{a B e-5 A b e+4 b B d}{4 b (a+b x) \sqrt{d+e x} (b d-a e)^2}+\frac{3 e (a B e-5 A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 \sqrt{b} (b d-a e)^{7/2}}",1,"(-3*e*(4*b*B*d - 5*A*b*e + a*B*e))/(4*b*(b*d - a*e)^3*Sqrt[d + e*x]) - (A*b - a*B)/(2*b*(b*d - a*e)*(a + b*x)^2*Sqrt[d + e*x]) - (4*b*B*d - 5*A*b*e + a*B*e)/(4*b*(b*d - a*e)^2*(a + b*x)*Sqrt[d + e*x]) + (3*e*(4*b*B*d - 5*A*b*e + a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(4*Sqrt[b]*(b*d - a*e)^(7/2))","A",5,4,22,0.1818,1,"{78, 51, 63, 208}"
1764,1,240,0,0.2109445,"\int \frac{A+B x}{(a+b x)^3 (d+e x)^{5/2}} \, dx","Int[(A + B*x)/((a + b*x)^3*(d + e*x)^(5/2)),x]","-\frac{A b-a B}{2 b (a+b x)^2 (d+e x)^{3/2} (b d-a e)}-\frac{5 e (3 a B e-7 A b e+4 b B d)}{4 \sqrt{d+e x} (b d-a e)^4}-\frac{5 e (3 a B e-7 A b e+4 b B d)}{12 b (d+e x)^{3/2} (b d-a e)^3}-\frac{3 a B e-7 A b e+4 b B d}{4 b (a+b x) (d+e x)^{3/2} (b d-a e)^2}+\frac{5 \sqrt{b} e (3 a B e-7 A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 (b d-a e)^{9/2}}","-\frac{A b-a B}{2 b (a+b x)^2 (d+e x)^{3/2} (b d-a e)}-\frac{5 e (3 a B e-7 A b e+4 b B d)}{4 \sqrt{d+e x} (b d-a e)^4}-\frac{5 e (3 a B e-7 A b e+4 b B d)}{12 b (d+e x)^{3/2} (b d-a e)^3}-\frac{3 a B e-7 A b e+4 b B d}{4 b (a+b x) (d+e x)^{3/2} (b d-a e)^2}+\frac{5 \sqrt{b} e (3 a B e-7 A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 (b d-a e)^{9/2}}",1,"(-5*e*(4*b*B*d - 7*A*b*e + 3*a*B*e))/(12*b*(b*d - a*e)^3*(d + e*x)^(3/2)) - (A*b - a*B)/(2*b*(b*d - a*e)*(a + b*x)^2*(d + e*x)^(3/2)) - (4*b*B*d - 7*A*b*e + 3*a*B*e)/(4*b*(b*d - a*e)^2*(a + b*x)*(d + e*x)^(3/2)) - (5*e*(4*b*B*d - 7*A*b*e + 3*a*B*e))/(4*(b*d - a*e)^4*Sqrt[d + e*x]) + (5*Sqrt[b]*e*(4*b*B*d - 7*A*b*e + 3*a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(4*(b*d - a*e)^(9/2))","A",6,4,22,0.1818,1,"{78, 51, 63, 208}"
1765,1,281,0,0.2744932,"\int \frac{A+B x}{(a+b x)^3 (d+e x)^{7/2}} \, dx","Int[(A + B*x)/((a + b*x)^3*(d + e*x)^(7/2)),x]","\frac{7 b^{3/2} e (5 a B e-9 A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 (b d-a e)^{11/2}}-\frac{7 b e (5 a B e-9 A b e+4 b B d)}{4 \sqrt{d+e x} (b d-a e)^5}-\frac{7 e (5 a B e-9 A b e+4 b B d)}{12 (d+e x)^{3/2} (b d-a e)^4}-\frac{7 e (5 a B e-9 A b e+4 b B d)}{20 b (d+e x)^{5/2} (b d-a e)^3}-\frac{5 a B e-9 A b e+4 b B d}{4 b (a+b x) (d+e x)^{5/2} (b d-a e)^2}-\frac{A b-a B}{2 b (a+b x)^2 (d+e x)^{5/2} (b d-a e)}","\frac{7 b^{3/2} e (5 a B e-9 A b e+4 b B d) \tanh ^{-1}\left(\frac{\sqrt{b} \sqrt{d+e x}}{\sqrt{b d-a e}}\right)}{4 (b d-a e)^{11/2}}-\frac{7 b e (5 a B e-9 A b e+4 b B d)}{4 \sqrt{d+e x} (b d-a e)^5}-\frac{7 e (5 a B e-9 A b e+4 b B d)}{12 (d+e x)^{3/2} (b d-a e)^4}-\frac{7 e (5 a B e-9 A b e+4 b B d)}{20 b (d+e x)^{5/2} (b d-a e)^3}-\frac{5 a B e-9 A b e+4 b B d}{4 b (a+b x) (d+e x)^{5/2} (b d-a e)^2}-\frac{A b-a B}{2 b (a+b x)^2 (d+e x)^{5/2} (b d-a e)}",1,"(-7*e*(4*b*B*d - 9*A*b*e + 5*a*B*e))/(20*b*(b*d - a*e)^3*(d + e*x)^(5/2)) - (A*b - a*B)/(2*b*(b*d - a*e)*(a + b*x)^2*(d + e*x)^(5/2)) - (4*b*B*d - 9*A*b*e + 5*a*B*e)/(4*b*(b*d - a*e)^2*(a + b*x)*(d + e*x)^(5/2)) - (7*e*(4*b*B*d - 9*A*b*e + 5*a*B*e))/(12*(b*d - a*e)^4*(d + e*x)^(3/2)) - (7*b*e*(4*b*B*d - 9*A*b*e + 5*a*B*e))/(4*(b*d - a*e)^5*Sqrt[d + e*x]) + (7*b^(3/2)*e*(4*b*B*d - 9*A*b*e + 5*a*B*e)*ArcTanh[(Sqrt[b]*Sqrt[d + e*x])/Sqrt[b*d - a*e]])/(4*(b*d - a*e)^(11/2))","A",7,4,22,0.1818,1,"{78, 51, 63, 208}"
1766,1,164,0,0.1924521,"\int \frac{(a+b x) (e+f x)^{5/2}}{c+d x} \, dx","Int[((a + b*x)*(e + f*x)^(5/2))/(c + d*x),x]","-\frac{2 (e+f x)^{5/2} (b c-a d)}{5 d^2}-\frac{2 (e+f x)^{3/2} (b c-a d) (d e-c f)}{3 d^3}-\frac{2 \sqrt{e+f x} (b c-a d) (d e-c f)^2}{d^4}+\frac{2 (b c-a d) (d e-c f)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{9/2}}+\frac{2 b (e+f x)^{7/2}}{7 d f}","-\frac{2 (e+f x)^{5/2} (b c-a d)}{5 d^2}-\frac{2 (e+f x)^{3/2} (b c-a d) (d e-c f)}{3 d^3}-\frac{2 \sqrt{e+f x} (b c-a d) (d e-c f)^2}{d^4}+\frac{2 (b c-a d) (d e-c f)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{9/2}}+\frac{2 b (e+f x)^{7/2}}{7 d f}",1,"(-2*(b*c - a*d)*(d*e - c*f)^2*Sqrt[e + f*x])/d^4 - (2*(b*c - a*d)*(d*e - c*f)*(e + f*x)^(3/2))/(3*d^3) - (2*(b*c - a*d)*(e + f*x)^(5/2))/(5*d^2) + (2*b*(e + f*x)^(7/2))/(7*d*f) + (2*(b*c - a*d)*(d*e - c*f)^(5/2)*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/d^(9/2)","A",6,4,22,0.1818,1,"{80, 50, 63, 208}"
1767,1,130,0,0.1077572,"\int \frac{(a+b x) (e+f x)^{3/2}}{c+d x} \, dx","Int[((a + b*x)*(e + f*x)^(3/2))/(c + d*x),x]","-\frac{2 (e+f x)^{3/2} (b c-a d)}{3 d^2}-\frac{2 \sqrt{e+f x} (b c-a d) (d e-c f)}{d^3}+\frac{2 (b c-a d) (d e-c f)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{7/2}}+\frac{2 b (e+f x)^{5/2}}{5 d f}","-\frac{2 (e+f x)^{3/2} (b c-a d)}{3 d^2}-\frac{2 \sqrt{e+f x} (b c-a d) (d e-c f)}{d^3}+\frac{2 (b c-a d) (d e-c f)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{7/2}}+\frac{2 b (e+f x)^{5/2}}{5 d f}",1,"(-2*(b*c - a*d)*(d*e - c*f)*Sqrt[e + f*x])/d^3 - (2*(b*c - a*d)*(e + f*x)^(3/2))/(3*d^2) + (2*b*(e + f*x)^(5/2))/(5*d*f) + (2*(b*c - a*d)*(d*e - c*f)^(3/2)*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/d^(7/2)","A",5,4,22,0.1818,1,"{80, 50, 63, 208}"
1768,1,98,0,0.0790366,"\int \frac{(a+b x) \sqrt{e+f x}}{c+d x} \, dx","Int[((a + b*x)*Sqrt[e + f*x])/(c + d*x),x]","-\frac{2 \sqrt{e+f x} (b c-a d)}{d^2}+\frac{2 (b c-a d) \sqrt{d e-c f} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{5/2}}+\frac{2 b (e+f x)^{3/2}}{3 d f}","-\frac{2 \sqrt{e+f x} (b c-a d)}{d^2}+\frac{2 (b c-a d) \sqrt{d e-c f} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{5/2}}+\frac{2 b (e+f x)^{3/2}}{3 d f}",1,"(-2*(b*c - a*d)*Sqrt[e + f*x])/d^2 + (2*b*(e + f*x)^(3/2))/(3*d*f) + (2*(b*c - a*d)*Sqrt[d*e - c*f]*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/d^(5/2)","A",4,4,22,0.1818,1,"{80, 50, 63, 208}"
1769,1,74,0,0.0653447,"\int \frac{a+b x}{(c+d x) \sqrt{e+f x}} \, dx","Int[(a + b*x)/((c + d*x)*Sqrt[e + f*x]),x]","\frac{2 (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{3/2} \sqrt{d e-c f}}+\frac{2 b \sqrt{e+f x}}{d f}","\frac{2 (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{3/2} \sqrt{d e-c f}}+\frac{2 b \sqrt{e+f x}}{d f}",1,"(2*b*Sqrt[e + f*x])/(d*f) + (2*(b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(d^(3/2)*Sqrt[d*e - c*f])","A",3,3,22,0.1364,1,"{80, 63, 208}"
1770,1,88,0,0.0797027,"\int \frac{a+b x}{(c+d x) (e+f x)^{3/2}} \, dx","Int[(a + b*x)/((c + d*x)*(e + f*x)^(3/2)),x]","\frac{2 (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{\sqrt{d} (d e-c f)^{3/2}}-\frac{2 (b e-a f)}{f \sqrt{e+f x} (d e-c f)}","\frac{2 (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{\sqrt{d} (d e-c f)^{3/2}}-\frac{2 (b e-a f)}{f \sqrt{e+f x} (d e-c f)}",1,"(-2*(b*e - a*f))/(f*(d*e - c*f)*Sqrt[e + f*x]) + (2*(b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(Sqrt[d]*(d*e - c*f)^(3/2))","A",3,3,22,0.1364,1,"{78, 63, 208}"
1771,1,119,0,0.0980947,"\int \frac{a+b x}{(c+d x) (e+f x)^{5/2}} \, dx","Int[(a + b*x)/((c + d*x)*(e + f*x)^(5/2)),x]","-\frac{2 (b c-a d)}{\sqrt{e+f x} (d e-c f)^2}-\frac{2 (b e-a f)}{3 f (e+f x)^{3/2} (d e-c f)}+\frac{2 \sqrt{d} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{(d e-c f)^{5/2}}","-\frac{2 (b c-a d)}{\sqrt{e+f x} (d e-c f)^2}-\frac{2 (b e-a f)}{3 f (e+f x)^{3/2} (d e-c f)}+\frac{2 \sqrt{d} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{(d e-c f)^{5/2}}",1,"(-2*(b*e - a*f))/(3*f*(d*e - c*f)*(e + f*x)^(3/2)) - (2*(b*c - a*d))/((d*e - c*f)^2*Sqrt[e + f*x]) + (2*Sqrt[d]*(b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(d*e - c*f)^(5/2)","A",4,4,22,0.1818,1,"{78, 51, 63, 208}"
1772,1,151,0,0.1392594,"\int \frac{a+b x}{(c+d x) (e+f x)^{7/2}} \, dx","Int[(a + b*x)/((c + d*x)*(e + f*x)^(7/2)),x]","\frac{2 d^{3/2} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{(d e-c f)^{7/2}}-\frac{2 d (b c-a d)}{\sqrt{e+f x} (d e-c f)^3}-\frac{2 (b c-a d)}{3 (e+f x)^{3/2} (d e-c f)^2}-\frac{2 (b e-a f)}{5 f (e+f x)^{5/2} (d e-c f)}","\frac{2 d^{3/2} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{(d e-c f)^{7/2}}-\frac{2 d (b c-a d)}{\sqrt{e+f x} (d e-c f)^3}-\frac{2 (b c-a d)}{3 (e+f x)^{3/2} (d e-c f)^2}-\frac{2 (b e-a f)}{5 f (e+f x)^{5/2} (d e-c f)}",1,"(-2*(b*e - a*f))/(5*f*(d*e - c*f)*(e + f*x)^(5/2)) - (2*(b*c - a*d))/(3*(d*e - c*f)^2*(e + f*x)^(3/2)) - (2*d*(b*c - a*d))/((d*e - c*f)^3*Sqrt[e + f*x]) + (2*d^(3/2)*(b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(d*e - c*f)^(7/2)","A",5,4,22,0.1818,1,"{78, 51, 63, 208}"
1773,1,185,0,0.1712907,"\int \frac{a+b x}{(c+d x) (e+f x)^{9/2}} \, dx","Int[(a + b*x)/((c + d*x)*(e + f*x)^(9/2)),x]","-\frac{2 d^2 (b c-a d)}{\sqrt{e+f x} (d e-c f)^4}+\frac{2 d^{5/2} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{(d e-c f)^{9/2}}-\frac{2 d (b c-a d)}{3 (e+f x)^{3/2} (d e-c f)^3}-\frac{2 (b c-a d)}{5 (e+f x)^{5/2} (d e-c f)^2}-\frac{2 (b e-a f)}{7 f (e+f x)^{7/2} (d e-c f)}","-\frac{2 d^2 (b c-a d)}{\sqrt{e+f x} (d e-c f)^4}+\frac{2 d^{5/2} (b c-a d) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{(d e-c f)^{9/2}}-\frac{2 d (b c-a d)}{3 (e+f x)^{3/2} (d e-c f)^3}-\frac{2 (b c-a d)}{5 (e+f x)^{5/2} (d e-c f)^2}-\frac{2 (b e-a f)}{7 f (e+f x)^{7/2} (d e-c f)}",1,"(-2*(b*e - a*f))/(7*f*(d*e - c*f)*(e + f*x)^(7/2)) - (2*(b*c - a*d))/(5*(d*e - c*f)^2*(e + f*x)^(5/2)) - (2*d*(b*c - a*d))/(3*(d*e - c*f)^3*(e + f*x)^(3/2)) - (2*d^2*(b*c - a*d))/((d*e - c*f)^4*Sqrt[e + f*x]) + (2*d^(5/2)*(b*c - a*d)*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(d*e - c*f)^(9/2)","A",6,4,22,0.1818,1,"{78, 51, 63, 208}"
1774,1,208,0,0.2152734,"\int \frac{(a+b x)^2 (e+f x)^{5/2}}{c+d x} \, dx","Int[((a + b*x)^2*(e + f*x)^(5/2))/(c + d*x),x]","-\frac{2 b (e+f x)^{7/2} (-2 a d f+b c f+b d e)}{7 d^2 f^2}+\frac{2 (e+f x)^{5/2} (b c-a d)^2}{5 d^3}+\frac{2 (e+f x)^{3/2} (b c-a d)^2 (d e-c f)}{3 d^4}+\frac{2 \sqrt{e+f x} (b c-a d)^2 (d e-c f)^2}{d^5}-\frac{2 (b c-a d)^2 (d e-c f)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{11/2}}+\frac{2 b^2 (e+f x)^{9/2}}{9 d f^2}","-\frac{2 b (e+f x)^{7/2} (-2 a d f+b c f+b d e)}{7 d^2 f^2}+\frac{2 (e+f x)^{5/2} (b c-a d)^2}{5 d^3}+\frac{2 (e+f x)^{3/2} (b c-a d)^2 (d e-c f)}{3 d^4}+\frac{2 \sqrt{e+f x} (b c-a d)^2 (d e-c f)^2}{d^5}-\frac{2 (b c-a d)^2 (d e-c f)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{11/2}}+\frac{2 b^2 (e+f x)^{9/2}}{9 d f^2}",1,"(2*(b*c - a*d)^2*(d*e - c*f)^2*Sqrt[e + f*x])/d^5 + (2*(b*c - a*d)^2*(d*e - c*f)*(e + f*x)^(3/2))/(3*d^4) + (2*(b*c - a*d)^2*(e + f*x)^(5/2))/(5*d^3) - (2*b*(b*d*e + b*c*f - 2*a*d*f)*(e + f*x)^(7/2))/(7*d^2*f^2) + (2*b^2*(e + f*x)^(9/2))/(9*d*f^2) - (2*(b*c - a*d)^2*(d*e - c*f)^(5/2)*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/d^(11/2)","A",7,4,24,0.1667,1,"{88, 50, 63, 208}"
1775,1,172,0,0.1566747,"\int \frac{(a+b x)^2 (e+f x)^{3/2}}{c+d x} \, dx","Int[((a + b*x)^2*(e + f*x)^(3/2))/(c + d*x),x]","-\frac{2 b (e+f x)^{5/2} (-2 a d f+b c f+b d e)}{5 d^2 f^2}+\frac{2 (e+f x)^{3/2} (b c-a d)^2}{3 d^3}+\frac{2 \sqrt{e+f x} (b c-a d)^2 (d e-c f)}{d^4}-\frac{2 (b c-a d)^2 (d e-c f)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{9/2}}+\frac{2 b^2 (e+f x)^{7/2}}{7 d f^2}","-\frac{2 b (e+f x)^{5/2} (-2 a d f+b c f+b d e)}{5 d^2 f^2}+\frac{2 (e+f x)^{3/2} (b c-a d)^2}{3 d^3}+\frac{2 \sqrt{e+f x} (b c-a d)^2 (d e-c f)}{d^4}-\frac{2 (b c-a d)^2 (d e-c f)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{9/2}}+\frac{2 b^2 (e+f x)^{7/2}}{7 d f^2}",1,"(2*(b*c - a*d)^2*(d*e - c*f)*Sqrt[e + f*x])/d^4 + (2*(b*c - a*d)^2*(e + f*x)^(3/2))/(3*d^3) - (2*b*(b*d*e + b*c*f - 2*a*d*f)*(e + f*x)^(5/2))/(5*d^2*f^2) + (2*b^2*(e + f*x)^(7/2))/(7*d*f^2) - (2*(b*c - a*d)^2*(d*e - c*f)^(3/2)*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/d^(9/2)","A",6,4,24,0.1667,1,"{88, 50, 63, 208}"
1776,1,138,0,0.1246896,"\int \frac{(a+b x)^2 \sqrt{e+f x}}{c+d x} \, dx","Int[((a + b*x)^2*Sqrt[e + f*x])/(c + d*x),x]","-\frac{2 b (e+f x)^{3/2} (-2 a d f+b c f+b d e)}{3 d^2 f^2}+\frac{2 \sqrt{e+f x} (b c-a d)^2}{d^3}-\frac{2 (b c-a d)^2 \sqrt{d e-c f} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{7/2}}+\frac{2 b^2 (e+f x)^{5/2}}{5 d f^2}","-\frac{2 b (e+f x)^{3/2} (-2 a d f+b c f+b d e)}{3 d^2 f^2}+\frac{2 \sqrt{e+f x} (b c-a d)^2}{d^3}-\frac{2 (b c-a d)^2 \sqrt{d e-c f} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{7/2}}+\frac{2 b^2 (e+f x)^{5/2}}{5 d f^2}",1,"(2*(b*c - a*d)^2*Sqrt[e + f*x])/d^3 - (2*b*(b*d*e + b*c*f - 2*a*d*f)*(e + f*x)^(3/2))/(3*d^2*f^2) + (2*b^2*(e + f*x)^(5/2))/(5*d*f^2) - (2*(b*c - a*d)^2*Sqrt[d*e - c*f]*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/d^(7/2)","A",5,4,24,0.1667,1,"{88, 50, 63, 208}"
1777,1,112,0,0.1170349,"\int \frac{(a+b x)^2}{(c+d x) \sqrt{e+f x}} \, dx","Int[(a + b*x)^2/((c + d*x)*Sqrt[e + f*x]),x]","-\frac{2 b \sqrt{e+f x} (-2 a d f+b c f+b d e)}{d^2 f^2}-\frac{2 (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{5/2} \sqrt{d e-c f}}+\frac{2 b^2 (e+f x)^{3/2}}{3 d f^2}","-\frac{2 b \sqrt{e+f x} (-2 a d f+b c f+b d e)}{d^2 f^2}-\frac{2 (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{5/2} \sqrt{d e-c f}}+\frac{2 b^2 (e+f x)^{3/2}}{3 d f^2}",1,"(-2*b*(b*d*e + b*c*f - 2*a*d*f)*Sqrt[e + f*x])/(d^2*f^2) + (2*b^2*(e + f*x)^(3/2))/(3*d*f^2) - (2*(b*c - a*d)^2*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(d^(5/2)*Sqrt[d*e - c*f])","A",4,3,24,0.1250,1,"{88, 63, 208}"
1778,1,112,0,0.1447307,"\int \frac{(a+b x)^2}{(c+d x) (e+f x)^{3/2}} \, dx","Int[(a + b*x)^2/((c + d*x)*(e + f*x)^(3/2)),x]","-\frac{2 (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{3/2} (d e-c f)^{3/2}}+\frac{2 (b e-a f)^2}{f^2 \sqrt{e+f x} (d e-c f)}+\frac{2 b^2 \sqrt{e+f x}}{d f^2}","-\frac{2 (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{3/2} (d e-c f)^{3/2}}+\frac{2 (b e-a f)^2}{f^2 \sqrt{e+f x} (d e-c f)}+\frac{2 b^2 \sqrt{e+f x}}{d f^2}",1,"(2*(b*e - a*f)^2)/(f^2*(d*e - c*f)*Sqrt[e + f*x]) + (2*b^2*Sqrt[e + f*x])/(d*f^2) - (2*(b*c - a*d)^2*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(d^(3/2)*(d*e - c*f)^(3/2))","A",4,3,24,0.1250,1,"{87, 63, 208}"
1779,1,140,0,0.163914,"\int \frac{(a+b x)^2}{(c+d x) (e+f x)^{5/2}} \, dx","Int[(a + b*x)^2/((c + d*x)*(e + f*x)^(5/2)),x]","-\frac{2 (b e-a f) (a d f-2 b c f+b d e)}{f^2 \sqrt{e+f x} (d e-c f)^2}+\frac{2 (b e-a f)^2}{3 f^2 (e+f x)^{3/2} (d e-c f)}-\frac{2 (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{\sqrt{d} (d e-c f)^{5/2}}","-\frac{2 (b e-a f) (a d f-2 b c f+b d e)}{f^2 \sqrt{e+f x} (d e-c f)^2}+\frac{2 (b e-a f)^2}{3 f^2 (e+f x)^{3/2} (d e-c f)}-\frac{2 (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{\sqrt{d} (d e-c f)^{5/2}}",1,"(2*(b*e - a*f)^2)/(3*f^2*(d*e - c*f)*(e + f*x)^(3/2)) - (2*(b*e - a*f)*(b*d*e - 2*b*c*f + a*d*f))/(f^2*(d*e - c*f)^2*Sqrt[e + f*x]) - (2*(b*c - a*d)^2*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(Sqrt[d]*(d*e - c*f)^(5/2))","A",4,3,24,0.1250,1,"{87, 63, 208}"
1780,1,173,0,0.215807,"\int \frac{(a+b x)^2}{(c+d x) (e+f x)^{7/2}} \, dx","Int[(a + b*x)^2/((c + d*x)*(e + f*x)^(7/2)),x]","-\frac{2 (b e-a f) (a d f-2 b c f+b d e)}{3 f^2 (e+f x)^{3/2} (d e-c f)^2}+\frac{2 (b e-a f)^2}{5 f^2 (e+f x)^{5/2} (d e-c f)}+\frac{2 (b c-a d)^2}{\sqrt{e+f x} (d e-c f)^3}-\frac{2 \sqrt{d} (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{(d e-c f)^{7/2}}","-\frac{2 (b e-a f) (a d f-2 b c f+b d e)}{3 f^2 (e+f x)^{3/2} (d e-c f)^2}+\frac{2 (b e-a f)^2}{5 f^2 (e+f x)^{5/2} (d e-c f)}+\frac{2 (b c-a d)^2}{\sqrt{e+f x} (d e-c f)^3}-\frac{2 \sqrt{d} (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{(d e-c f)^{7/2}}",1,"(2*(b*e - a*f)^2)/(5*f^2*(d*e - c*f)*(e + f*x)^(5/2)) - (2*(b*e - a*f)*(b*d*e - 2*b*c*f + a*d*f))/(3*f^2*(d*e - c*f)^2*(e + f*x)^(3/2)) + (2*(b*c - a*d)^2)/((d*e - c*f)^3*Sqrt[e + f*x]) - (2*Sqrt[d]*(b*c - a*d)^2*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(d*e - c*f)^(7/2)","A",4,3,24,0.1250,1,"{87, 63, 208}"
1781,1,207,0,0.2770088,"\int \frac{(a+b x)^2}{(c+d x) (e+f x)^{9/2}} \, dx","Int[(a + b*x)^2/((c + d*x)*(e + f*x)^(9/2)),x]","-\frac{2 d^{3/2} (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{(d e-c f)^{9/2}}-\frac{2 (b e-a f) (a d f-2 b c f+b d e)}{5 f^2 (e+f x)^{5/2} (d e-c f)^2}+\frac{2 (b e-a f)^2}{7 f^2 (e+f x)^{7/2} (d e-c f)}+\frac{2 d (b c-a d)^2}{\sqrt{e+f x} (d e-c f)^4}+\frac{2 (b c-a d)^2}{3 (e+f x)^{3/2} (d e-c f)^3}","-\frac{2 d^{3/2} (b c-a d)^2 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{(d e-c f)^{9/2}}-\frac{2 (b e-a f) (a d f-2 b c f+b d e)}{5 f^2 (e+f x)^{5/2} (d e-c f)^2}+\frac{2 (b e-a f)^2}{7 f^2 (e+f x)^{7/2} (d e-c f)}+\frac{2 d (b c-a d)^2}{\sqrt{e+f x} (d e-c f)^4}+\frac{2 (b c-a d)^2}{3 (e+f x)^{3/2} (d e-c f)^3}",1,"(2*(b*e - a*f)^2)/(7*f^2*(d*e - c*f)*(e + f*x)^(7/2)) - (2*(b*e - a*f)*(b*d*e - 2*b*c*f + a*d*f))/(5*f^2*(d*e - c*f)^2*(e + f*x)^(5/2)) + (2*(b*c - a*d)^2)/(3*(d*e - c*f)^3*(e + f*x)^(3/2)) + (2*d*(b*c - a*d)^2)/((d*e - c*f)^4*Sqrt[e + f*x]) - (2*d^(3/2)*(b*c - a*d)^2*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(d*e - c*f)^(9/2)","A",4,3,24,0.1250,1,"{87, 63, 208}"
1782,1,280,0,0.2992932,"\int \frac{(a+b x)^3 (e+f x)^{5/2}}{c+d x} \, dx","Int[((a + b*x)^3*(e + f*x)^(5/2))/(c + d*x),x]","\frac{2 b (e+f x)^{7/2} \left(3 a^2 d^2 f^2-3 a b d f (c f+d e)+b^2 \left(c^2 f^2+c d e f+d^2 e^2\right)\right)}{7 d^3 f^3}-\frac{2 b^2 (e+f x)^{9/2} (-3 a d f+b c f+2 b d e)}{9 d^2 f^3}-\frac{2 (e+f x)^{5/2} (b c-a d)^3}{5 d^4}-\frac{2 (e+f x)^{3/2} (b c-a d)^3 (d e-c f)}{3 d^5}-\frac{2 \sqrt{e+f x} (b c-a d)^3 (d e-c f)^2}{d^6}+\frac{2 (b c-a d)^3 (d e-c f)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{13/2}}+\frac{2 b^3 (e+f x)^{11/2}}{11 d f^3}","\frac{2 b (e+f x)^{7/2} \left(3 a^2 d^2 f^2-3 a b d f (c f+d e)+b^2 \left(c^2 f^2+c d e f+d^2 e^2\right)\right)}{7 d^3 f^3}-\frac{2 b^2 (e+f x)^{9/2} (-3 a d f+b c f+2 b d e)}{9 d^2 f^3}-\frac{2 (e+f x)^{5/2} (b c-a d)^3}{5 d^4}-\frac{2 (e+f x)^{3/2} (b c-a d)^3 (d e-c f)}{3 d^5}-\frac{2 \sqrt{e+f x} (b c-a d)^3 (d e-c f)^2}{d^6}+\frac{2 (b c-a d)^3 (d e-c f)^{5/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{13/2}}+\frac{2 b^3 (e+f x)^{11/2}}{11 d f^3}",1,"(-2*(b*c - a*d)^3*(d*e - c*f)^2*Sqrt[e + f*x])/d^6 - (2*(b*c - a*d)^3*(d*e - c*f)*(e + f*x)^(3/2))/(3*d^5) - (2*(b*c - a*d)^3*(e + f*x)^(5/2))/(5*d^4) + (2*b*(3*a^2*d^2*f^2 - 3*a*b*d*f*(d*e + c*f) + b^2*(d^2*e^2 + c*d*e*f + c^2*f^2))*(e + f*x)^(7/2))/(7*d^3*f^3) - (2*b^2*(2*b*d*e + b*c*f - 3*a*d*f)*(e + f*x)^(9/2))/(9*d^2*f^3) + (2*b^3*(e + f*x)^(11/2))/(11*d*f^3) + (2*(b*c - a*d)^3*(d*e - c*f)^(5/2)*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/d^(13/2)","A",7,4,24,0.1667,1,"{88, 50, 63, 208}"
1783,1,244,0,0.2180075,"\int \frac{(a+b x)^3 (e+f x)^{3/2}}{c+d x} \, dx","Int[((a + b*x)^3*(e + f*x)^(3/2))/(c + d*x),x]","\frac{2 b (e+f x)^{5/2} \left(3 a^2 d^2 f^2-3 a b d f (c f+d e)+b^2 \left(c^2 f^2+c d e f+d^2 e^2\right)\right)}{5 d^3 f^3}-\frac{2 b^2 (e+f x)^{7/2} (-3 a d f+b c f+2 b d e)}{7 d^2 f^3}-\frac{2 (e+f x)^{3/2} (b c-a d)^3}{3 d^4}-\frac{2 \sqrt{e+f x} (b c-a d)^3 (d e-c f)}{d^5}+\frac{2 (b c-a d)^3 (d e-c f)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{11/2}}+\frac{2 b^3 (e+f x)^{9/2}}{9 d f^3}","\frac{2 b (e+f x)^{5/2} \left(3 a^2 d^2 f^2-3 a b d f (c f+d e)+b^2 \left(c^2 f^2+c d e f+d^2 e^2\right)\right)}{5 d^3 f^3}-\frac{2 b^2 (e+f x)^{7/2} (-3 a d f+b c f+2 b d e)}{7 d^2 f^3}-\frac{2 (e+f x)^{3/2} (b c-a d)^3}{3 d^4}-\frac{2 \sqrt{e+f x} (b c-a d)^3 (d e-c f)}{d^5}+\frac{2 (b c-a d)^3 (d e-c f)^{3/2} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{11/2}}+\frac{2 b^3 (e+f x)^{9/2}}{9 d f^3}",1,"(-2*(b*c - a*d)^3*(d*e - c*f)*Sqrt[e + f*x])/d^5 - (2*(b*c - a*d)^3*(e + f*x)^(3/2))/(3*d^4) + (2*b*(3*a^2*d^2*f^2 - 3*a*b*d*f*(d*e + c*f) + b^2*(d^2*e^2 + c*d*e*f + c^2*f^2))*(e + f*x)^(5/2))/(5*d^3*f^3) - (2*b^2*(2*b*d*e + b*c*f - 3*a*d*f)*(e + f*x)^(7/2))/(7*d^2*f^3) + (2*b^3*(e + f*x)^(9/2))/(9*d*f^3) + (2*(b*c - a*d)^3*(d*e - c*f)^(3/2)*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/d^(11/2)","A",6,4,24,0.1667,1,"{88, 50, 63, 208}"
1784,1,210,0,0.1772655,"\int \frac{(a+b x)^3 \sqrt{e+f x}}{c+d x} \, dx","Int[((a + b*x)^3*Sqrt[e + f*x])/(c + d*x),x]","\frac{2 b (e+f x)^{3/2} \left(3 a^2 d^2 f^2-3 a b d f (c f+d e)+b^2 \left(c^2 f^2+c d e f+d^2 e^2\right)\right)}{3 d^3 f^3}-\frac{2 b^2 (e+f x)^{5/2} (-3 a d f+b c f+2 b d e)}{5 d^2 f^3}-\frac{2 \sqrt{e+f x} (b c-a d)^3}{d^4}+\frac{2 (b c-a d)^3 \sqrt{d e-c f} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{9/2}}+\frac{2 b^3 (e+f x)^{7/2}}{7 d f^3}","\frac{2 b (e+f x)^{3/2} \left(3 a^2 d^2 f^2-3 a b d f (c f+d e)+b^2 \left(c^2 f^2+c d e f+d^2 e^2\right)\right)}{3 d^3 f^3}-\frac{2 b^2 (e+f x)^{5/2} (-3 a d f+b c f+2 b d e)}{5 d^2 f^3}-\frac{2 \sqrt{e+f x} (b c-a d)^3}{d^4}+\frac{2 (b c-a d)^3 \sqrt{d e-c f} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{9/2}}+\frac{2 b^3 (e+f x)^{7/2}}{7 d f^3}",1,"(-2*(b*c - a*d)^3*Sqrt[e + f*x])/d^4 + (2*b*(3*a^2*d^2*f^2 - 3*a*b*d*f*(d*e + c*f) + b^2*(d^2*e^2 + c*d*e*f + c^2*f^2))*(e + f*x)^(3/2))/(3*d^3*f^3) - (2*b^2*(2*b*d*e + b*c*f - 3*a*d*f)*(e + f*x)^(5/2))/(5*d^2*f^3) + (2*b^3*(e + f*x)^(7/2))/(7*d*f^3) + (2*(b*c - a*d)^3*Sqrt[d*e - c*f]*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/d^(9/2)","A",5,4,24,0.1667,1,"{88, 50, 63, 208}"
1785,1,184,0,0.1723263,"\int \frac{(a+b x)^3}{(c+d x) \sqrt{e+f x}} \, dx","Int[(a + b*x)^3/((c + d*x)*Sqrt[e + f*x]),x]","\frac{2 b \sqrt{e+f x} \left(3 a^2 d^2 f^2-3 a b d f (c f+d e)+b^2 \left(c^2 f^2+c d e f+d^2 e^2\right)\right)}{d^3 f^3}-\frac{2 b^2 (e+f x)^{3/2} (-3 a d f+b c f+2 b d e)}{3 d^2 f^3}+\frac{2 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{7/2} \sqrt{d e-c f}}+\frac{2 b^3 (e+f x)^{5/2}}{5 d f^3}","\frac{2 b \sqrt{e+f x} \left(3 a^2 d^2 f^2-3 a b d f (c f+d e)+b^2 \left(c^2 f^2+c d e f+d^2 e^2\right)\right)}{d^3 f^3}-\frac{2 b^2 (e+f x)^{3/2} (-3 a d f+b c f+2 b d e)}{3 d^2 f^3}+\frac{2 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{7/2} \sqrt{d e-c f}}+\frac{2 b^3 (e+f x)^{5/2}}{5 d f^3}",1,"(2*b*(3*a^2*d^2*f^2 - 3*a*b*d*f*(d*e + c*f) + b^2*(d^2*e^2 + c*d*e*f + c^2*f^2))*Sqrt[e + f*x])/(d^3*f^3) - (2*b^2*(2*b*d*e + b*c*f - 3*a*d*f)*(e + f*x)^(3/2))/(3*d^2*f^3) + (2*b^3*(e + f*x)^(5/2))/(5*d*f^3) + (2*(b*c - a*d)^3*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(d^(7/2)*Sqrt[d*e - c*f])","A",4,3,24,0.1250,1,"{88, 63, 208}"
1786,1,169,0,0.2146839,"\int \frac{(a+b x)^3}{(c+d x) (e+f x)^{3/2}} \, dx","Int[(a + b*x)^3/((c + d*x)*(e + f*x)^(3/2)),x]","-\frac{2 b^2 \sqrt{e+f x} (-3 a d f+b c f+b d e)}{d^2 f^3}+\frac{2 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{5/2} (d e-c f)^{3/2}}-\frac{2 (b e-a f)^3}{f^3 \sqrt{e+f x} (d e-c f)}+\frac{2 b^3 (e+f x)^{3/2}}{3 d f^3}-\frac{2 b^3 e \sqrt{e+f x}}{d f^3}","-\frac{2 b^2 \sqrt{e+f x} (-3 a d f+b c f+2 b d e)}{d^2 f^3}+\frac{2 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{5/2} (d e-c f)^{3/2}}-\frac{2 (b e-a f)^3}{f^3 \sqrt{e+f x} (d e-c f)}+\frac{2 b^3 (e+f x)^{3/2}}{3 d f^3}",1,"(-2*(b*e - a*f)^3)/(f^3*(d*e - c*f)*Sqrt[e + f*x]) - (2*b^3*e*Sqrt[e + f*x])/(d*f^3) - (2*b^2*(b*d*e + b*c*f - 3*a*d*f)*Sqrt[e + f*x])/(d^2*f^3) + (2*b^3*(e + f*x)^(3/2))/(3*d*f^3) + (2*(b*c - a*d)^3*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(d^(5/2)*(d*e - c*f)^(3/2))","A",6,4,24,0.1667,1,"{87, 43, 63, 208}"
1787,1,163,0,0.2125724,"\int \frac{(a+b x)^3}{(c+d x) (e+f x)^{5/2}} \, dx","Int[(a + b*x)^3/((c + d*x)*(e + f*x)^(5/2)),x]","\frac{2 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{3/2} (d e-c f)^{5/2}}+\frac{2 (b e-a f)^2 (a d f-3 b c f+2 b d e)}{f^3 \sqrt{e+f x} (d e-c f)^2}-\frac{2 (b e-a f)^3}{3 f^3 (e+f x)^{3/2} (d e-c f)}+\frac{2 b^3 \sqrt{e+f x}}{d f^3}","\frac{2 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{3/2} (d e-c f)^{5/2}}+\frac{2 (b e-a f)^2 (a d f-3 b c f+2 b d e)}{f^3 \sqrt{e+f x} (d e-c f)^2}-\frac{2 (b e-a f)^3}{3 f^3 (e+f x)^{3/2} (d e-c f)}+\frac{2 b^3 \sqrt{e+f x}}{d f^3}",1,"(-2*(b*e - a*f)^3)/(3*f^3*(d*e - c*f)*(e + f*x)^(3/2)) + (2*(b*e - a*f)^2*(2*b*d*e - 3*b*c*f + a*d*f))/(f^3*(d*e - c*f)^2*Sqrt[e + f*x]) + (2*b^3*Sqrt[e + f*x])/(d*f^3) + (2*(b*c - a*d)^3*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(d^(3/2)*(d*e - c*f)^(5/2))","A",4,3,24,0.1250,1,"{87, 63, 208}"
1788,1,227,0,0.2798233,"\int \frac{(a+b x)^3}{(c+d x) (e+f x)^{7/2}} \, dx","Int[(a + b*x)^3/((c + d*x)*(e + f*x)^(7/2)),x]","-\frac{2 (b e-a f) \left(a^2 d^2 f^2+a b d f (d e-3 c f)+b^2 \left(3 c^2 f^2-3 c d e f+d^2 e^2\right)\right)}{f^3 \sqrt{e+f x} (d e-c f)^3}+\frac{2 (b e-a f)^2 (a d f-3 b c f+2 b d e)}{3 f^3 (e+f x)^{3/2} (d e-c f)^2}-\frac{2 (b e-a f)^3}{5 f^3 (e+f x)^{5/2} (d e-c f)}+\frac{2 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{\sqrt{d} (d e-c f)^{7/2}}","-\frac{2 (b e-a f) \left(a^2 d^2 f^2+a b d f (d e-3 c f)+b^2 \left(3 c^2 f^2-3 c d e f+d^2 e^2\right)\right)}{f^3 \sqrt{e+f x} (d e-c f)^3}+\frac{2 (b e-a f)^2 (a d f-3 b c f+2 b d e)}{3 f^3 (e+f x)^{3/2} (d e-c f)^2}-\frac{2 (b e-a f)^3}{5 f^3 (e+f x)^{5/2} (d e-c f)}+\frac{2 (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{\sqrt{d} (d e-c f)^{7/2}}",1,"(-2*(b*e - a*f)^3)/(5*f^3*(d*e - c*f)*(e + f*x)^(5/2)) + (2*(b*e - a*f)^2*(2*b*d*e - 3*b*c*f + a*d*f))/(3*f^3*(d*e - c*f)^2*(e + f*x)^(3/2)) - (2*(b*e - a*f)*(a^2*d^2*f^2 + a*b*d*f*(d*e - 3*c*f) + b^2*(d^2*e^2 - 3*c*d*e*f + 3*c^2*f^2)))/(f^3*(d*e - c*f)^3*Sqrt[e + f*x]) + (2*(b*c - a*d)^3*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(Sqrt[d]*(d*e - c*f)^(7/2))","A",4,3,24,0.1250,1,"{87, 63, 208}"
1789,1,260,0,0.357535,"\int \frac{(a+b x)^3}{(c+d x) (e+f x)^{9/2}} \, dx","Int[(a + b*x)^3/((c + d*x)*(e + f*x)^(9/2)),x]","-\frac{2 (b e-a f) \left(a^2 d^2 f^2+a b d f (d e-3 c f)+b^2 \left(3 c^2 f^2-3 c d e f+d^2 e^2\right)\right)}{3 f^3 (e+f x)^{3/2} (d e-c f)^3}+\frac{2 (b e-a f)^2 (a d f-3 b c f+2 b d e)}{5 f^3 (e+f x)^{5/2} (d e-c f)^2}-\frac{2 (b e-a f)^3}{7 f^3 (e+f x)^{7/2} (d e-c f)}-\frac{2 (b c-a d)^3}{\sqrt{e+f x} (d e-c f)^4}+\frac{2 \sqrt{d} (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{(d e-c f)^{9/2}}","-\frac{2 (b e-a f) \left(a^2 d^2 f^2+a b d f (d e-3 c f)+b^2 \left(3 c^2 f^2-3 c d e f+d^2 e^2\right)\right)}{3 f^3 (e+f x)^{3/2} (d e-c f)^3}+\frac{2 (b e-a f)^2 (a d f-3 b c f+2 b d e)}{5 f^3 (e+f x)^{5/2} (d e-c f)^2}-\frac{2 (b e-a f)^3}{7 f^3 (e+f x)^{7/2} (d e-c f)}-\frac{2 (b c-a d)^3}{\sqrt{e+f x} (d e-c f)^4}+\frac{2 \sqrt{d} (b c-a d)^3 \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{(d e-c f)^{9/2}}",1,"(-2*(b*e - a*f)^3)/(7*f^3*(d*e - c*f)*(e + f*x)^(7/2)) + (2*(b*e - a*f)^2*(2*b*d*e - 3*b*c*f + a*d*f))/(5*f^3*(d*e - c*f)^2*(e + f*x)^(5/2)) - (2*(b*e - a*f)*(a^2*d^2*f^2 + a*b*d*f*(d*e - 3*c*f) + b^2*(d^2*e^2 - 3*c*d*e*f + 3*c^2*f^2)))/(3*f^3*(d*e - c*f)^3*(e + f*x)^(3/2)) - (2*(b*c - a*d)^3)/((d*e - c*f)^4*Sqrt[e + f*x]) + (2*Sqrt[d]*(b*c - a*d)^3*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(d*e - c*f)^(9/2)","A",4,3,24,0.1250,1,"{87, 63, 208}"
1790,1,105,0,0.019877,"\int \sqrt{1-2 x} (2+3 x)^6 (3+5 x) \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^6*(3 + 5*x),x]","\frac{3645 (1-2 x)^{17/2}}{2176}-\frac{19683}{640} (1-2 x)^{15/2}+\frac{409941 (1-2 x)^{13/2}}{1664}-\frac{1580985 (1-2 x)^{11/2}}{1408}+\frac{406455}{128} (1-2 x)^{9/2}-\frac{725445}{128} (1-2 x)^{7/2}+\frac{3916031}{640} (1-2 x)^{5/2}-\frac{1294139}{384} (1-2 x)^{3/2}","\frac{3645 (1-2 x)^{17/2}}{2176}-\frac{19683}{640} (1-2 x)^{15/2}+\frac{409941 (1-2 x)^{13/2}}{1664}-\frac{1580985 (1-2 x)^{11/2}}{1408}+\frac{406455}{128} (1-2 x)^{9/2}-\frac{725445}{128} (1-2 x)^{7/2}+\frac{3916031}{640} (1-2 x)^{5/2}-\frac{1294139}{384} (1-2 x)^{3/2}",1,"(-1294139*(1 - 2*x)^(3/2))/384 + (3916031*(1 - 2*x)^(5/2))/640 - (725445*(1 - 2*x)^(7/2))/128 + (406455*(1 - 2*x)^(9/2))/128 - (1580985*(1 - 2*x)^(11/2))/1408 + (409941*(1 - 2*x)^(13/2))/1664 - (19683*(1 - 2*x)^(15/2))/640 + (3645*(1 - 2*x)^(17/2))/2176","A",2,1,22,0.04545,1,"{77}"
1791,1,92,0,0.0180173,"\int \sqrt{1-2 x} (2+3 x)^5 (3+5 x) \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^5*(3 + 5*x),x]","-\frac{81}{64} (1-2 x)^{15/2}+\frac{81}{4} (1-2 x)^{13/2}-\frac{97335}{704} (1-2 x)^{11/2}+\frac{4165}{8} (1-2 x)^{9/2}-\frac{74235}{64} (1-2 x)^{7/2}+\frac{12005}{8} (1-2 x)^{5/2}-\frac{184877}{192} (1-2 x)^{3/2}","-\frac{81}{64} (1-2 x)^{15/2}+\frac{81}{4} (1-2 x)^{13/2}-\frac{97335}{704} (1-2 x)^{11/2}+\frac{4165}{8} (1-2 x)^{9/2}-\frac{74235}{64} (1-2 x)^{7/2}+\frac{12005}{8} (1-2 x)^{5/2}-\frac{184877}{192} (1-2 x)^{3/2}",1,"(-184877*(1 - 2*x)^(3/2))/192 + (12005*(1 - 2*x)^(5/2))/8 - (74235*(1 - 2*x)^(7/2))/64 + (4165*(1 - 2*x)^(9/2))/8 - (97335*(1 - 2*x)^(11/2))/704 + (81*(1 - 2*x)^(13/2))/4 - (81*(1 - 2*x)^(15/2))/64","A",2,1,22,0.04545,1,"{77}"
1792,1,79,0,0.0151272,"\int \sqrt{1-2 x} (2+3 x)^4 (3+5 x) \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^4*(3 + 5*x),x]","\frac{405}{416} (1-2 x)^{13/2}-\frac{4671}{352} (1-2 x)^{11/2}+\frac{1197}{16} (1-2 x)^{9/2}-\frac{3549}{16} (1-2 x)^{7/2}+\frac{57281}{160} (1-2 x)^{5/2}-\frac{26411}{96} (1-2 x)^{3/2}","\frac{405}{416} (1-2 x)^{13/2}-\frac{4671}{352} (1-2 x)^{11/2}+\frac{1197}{16} (1-2 x)^{9/2}-\frac{3549}{16} (1-2 x)^{7/2}+\frac{57281}{160} (1-2 x)^{5/2}-\frac{26411}{96} (1-2 x)^{3/2}",1,"(-26411*(1 - 2*x)^(3/2))/96 + (57281*(1 - 2*x)^(5/2))/160 - (3549*(1 - 2*x)^(7/2))/16 + (1197*(1 - 2*x)^(9/2))/16 - (4671*(1 - 2*x)^(11/2))/352 + (405*(1 - 2*x)^(13/2))/416","A",2,1,22,0.04545,1,"{77}"
1793,1,66,0,0.0141805,"\int \sqrt{1-2 x} (2+3 x)^3 (3+5 x) \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^3*(3 + 5*x),x]","-\frac{135}{176} (1-2 x)^{11/2}+\frac{69}{8} (1-2 x)^{9/2}-\frac{153}{4} (1-2 x)^{7/2}+\frac{3283}{40} (1-2 x)^{5/2}-\frac{3773}{48} (1-2 x)^{3/2}","-\frac{135}{176} (1-2 x)^{11/2}+\frac{69}{8} (1-2 x)^{9/2}-\frac{153}{4} (1-2 x)^{7/2}+\frac{3283}{40} (1-2 x)^{5/2}-\frac{3773}{48} (1-2 x)^{3/2}",1,"(-3773*(1 - 2*x)^(3/2))/48 + (3283*(1 - 2*x)^(5/2))/40 - (153*(1 - 2*x)^(7/2))/4 + (69*(1 - 2*x)^(9/2))/8 - (135*(1 - 2*x)^(11/2))/176","A",2,1,22,0.04545,1,"{77}"
1794,1,53,0,0.0108028,"\int \sqrt{1-2 x} (2+3 x)^2 (3+5 x) \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x),x]","\frac{5}{8} (1-2 x)^{9/2}-\frac{309}{56} (1-2 x)^{7/2}+\frac{707}{40} (1-2 x)^{5/2}-\frac{539}{24} (1-2 x)^{3/2}","\frac{5}{8} (1-2 x)^{9/2}-\frac{309}{56} (1-2 x)^{7/2}+\frac{707}{40} (1-2 x)^{5/2}-\frac{539}{24} (1-2 x)^{3/2}",1,"(-539*(1 - 2*x)^(3/2))/24 + (707*(1 - 2*x)^(5/2))/40 - (309*(1 - 2*x)^(7/2))/56 + (5*(1 - 2*x)^(9/2))/8","A",2,1,22,0.04545,1,"{77}"
1795,1,40,0,0.0084678,"\int \sqrt{1-2 x} (2+3 x) (3+5 x) \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x),x]","-\frac{15}{28} (1-2 x)^{7/2}+\frac{17}{5} (1-2 x)^{5/2}-\frac{77}{12} (1-2 x)^{3/2}","-\frac{15}{28} (1-2 x)^{7/2}+\frac{17}{5} (1-2 x)^{5/2}-\frac{77}{12} (1-2 x)^{3/2}",1,"(-77*(1 - 2*x)^(3/2))/12 + (17*(1 - 2*x)^(5/2))/5 - (15*(1 - 2*x)^(7/2))/28","A",2,1,20,0.05000,1,"{77}"
1796,1,27,0,0.0054496,"\int \sqrt{1-2 x} (3+5 x) \, dx","Int[Sqrt[1 - 2*x]*(3 + 5*x),x]","\frac{1}{2} (1-2 x)^{5/2}-\frac{11}{6} (1-2 x)^{3/2}","\frac{1}{2} (1-2 x)^{5/2}-\frac{11}{6} (1-2 x)^{3/2}",1,"(-11*(1 - 2*x)^(3/2))/6 + (1 - 2*x)^(5/2)/2","A",2,1,15,0.06667,1,"{43}"
1797,1,56,0,0.0153621,"\int \frac{\sqrt{1-2 x} (3+5 x)}{2+3 x} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x))/(2 + 3*x),x]","-\frac{5}{9} (1-2 x)^{3/2}-\frac{2}{9} \sqrt{1-2 x}+\frac{2}{9} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","-\frac{5}{9} (1-2 x)^{3/2}-\frac{2}{9} \sqrt{1-2 x}+\frac{2}{9} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(-2*Sqrt[1 - 2*x])/9 - (5*(1 - 2*x)^(3/2))/9 + (2*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/9","A",4,4,22,0.1818,1,"{80, 50, 63, 206}"
1798,1,59,0,0.0132555,"\int \frac{\sqrt{1-2 x} (3+5 x)}{(2+3 x)^2} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x))/(2 + 3*x)^2,x]","\frac{(1-2 x)^{3/2}}{21 (3 x+2)}+\frac{8}{7} \sqrt{1-2 x}-\frac{8 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{\sqrt{21}}","\frac{(1-2 x)^{3/2}}{21 (3 x+2)}+\frac{8}{7} \sqrt{1-2 x}-\frac{8 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{\sqrt{21}}",1,"(8*Sqrt[1 - 2*x])/7 + (1 - 2*x)^(3/2)/(21*(2 + 3*x)) - (8*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/Sqrt[21]","A",4,4,22,0.1818,1,"{78, 50, 63, 206}"
1799,1,68,0,0.0142218,"\int \frac{\sqrt{1-2 x} (3+5 x)}{(2+3 x)^3} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x))/(2 + 3*x)^3,x]","\frac{(1-2 x)^{3/2}}{42 (3 x+2)^2}-\frac{23 \sqrt{1-2 x}}{42 (3 x+2)}+\frac{23 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{21 \sqrt{21}}","\frac{(1-2 x)^{3/2}}{42 (3 x+2)^2}-\frac{23 \sqrt{1-2 x}}{42 (3 x+2)}+\frac{23 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{21 \sqrt{21}}",1,"(1 - 2*x)^(3/2)/(42*(2 + 3*x)^2) - (23*Sqrt[1 - 2*x])/(42*(2 + 3*x)) + (23*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(21*Sqrt[21])","A",4,4,22,0.1818,1,"{78, 47, 63, 206}"
1800,1,88,0,0.0207281,"\int \frac{\sqrt{1-2 x} (3+5 x)}{(2+3 x)^4} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x))/(2 + 3*x)^4,x]","\frac{(1-2 x)^{3/2}}{63 (3 x+2)^3}+\frac{17 \sqrt{1-2 x}}{441 (3 x+2)}-\frac{17 \sqrt{1-2 x}}{63 (3 x+2)^2}+\frac{34 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{441 \sqrt{21}}","\frac{(1-2 x)^{3/2}}{63 (3 x+2)^3}+\frac{17 \sqrt{1-2 x}}{441 (3 x+2)}-\frac{17 \sqrt{1-2 x}}{63 (3 x+2)^2}+\frac{34 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{441 \sqrt{21}}",1,"(1 - 2*x)^(3/2)/(63*(2 + 3*x)^3) - (17*Sqrt[1 - 2*x])/(63*(2 + 3*x)^2) + (17*Sqrt[1 - 2*x])/(441*(2 + 3*x)) + (34*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(441*Sqrt[21])","A",5,5,22,0.2273,1,"{78, 47, 51, 63, 206}"
1801,1,110,0,0.030174,"\int \frac{\sqrt{1-2 x} (3+5 x)}{(2+3 x)^5} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x))/(2 + 3*x)^5,x]","\frac{(1-2 x)^{3/2}}{84 (3 x+2)^4}+\frac{15 \sqrt{1-2 x}}{2744 (3 x+2)}+\frac{5 \sqrt{1-2 x}}{392 (3 x+2)^2}-\frac{5 \sqrt{1-2 x}}{28 (3 x+2)^3}+\frac{5 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1372}","\frac{(1-2 x)^{3/2}}{84 (3 x+2)^4}+\frac{15 \sqrt{1-2 x}}{2744 (3 x+2)}+\frac{5 \sqrt{1-2 x}}{392 (3 x+2)^2}-\frac{5 \sqrt{1-2 x}}{28 (3 x+2)^3}+\frac{5 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1372}",1,"(1 - 2*x)^(3/2)/(84*(2 + 3*x)^4) - (5*Sqrt[1 - 2*x])/(28*(2 + 3*x)^3) + (5*Sqrt[1 - 2*x])/(392*(2 + 3*x)^2) + (15*Sqrt[1 - 2*x])/(2744*(2 + 3*x)) + (5*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/1372","A",6,5,22,0.2273,1,"{78, 47, 51, 63, 206}"
1802,1,128,0,0.0375136,"\int \frac{\sqrt{1-2 x} (3+5 x)}{(2+3 x)^6} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x))/(2 + 3*x)^6,x]","\frac{(1-2 x)^{3/2}}{105 (3 x+2)^5}+\frac{\sqrt{1-2 x}}{1029 (3 x+2)}+\frac{\sqrt{1-2 x}}{441 (3 x+2)^2}+\frac{2 \sqrt{1-2 x}}{315 (3 x+2)^3}-\frac{2 \sqrt{1-2 x}}{15 (3 x+2)^4}+\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}","\frac{(1-2 x)^{3/2}}{105 (3 x+2)^5}+\frac{\sqrt{1-2 x}}{1029 (3 x+2)}+\frac{\sqrt{1-2 x}}{441 (3 x+2)^2}+\frac{2 \sqrt{1-2 x}}{315 (3 x+2)^3}-\frac{2 \sqrt{1-2 x}}{15 (3 x+2)^4}+\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}",1,"(1 - 2*x)^(3/2)/(105*(2 + 3*x)^5) - (2*Sqrt[1 - 2*x])/(15*(2 + 3*x)^4) + (2*Sqrt[1 - 2*x])/(315*(2 + 3*x)^3) + Sqrt[1 - 2*x]/(441*(2 + 3*x)^2) + Sqrt[1 - 2*x]/(1029*(2 + 3*x)) + (2*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(1029*Sqrt[21])","A",7,5,22,0.2273,1,"{78, 47, 51, 63, 206}"
1803,1,92,0,0.0169372,"\int \sqrt{1-2 x} (2+3 x)^4 (3+5 x)^2 \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^4*(3 + 5*x)^2,x]","-\frac{135}{64} (1-2 x)^{15/2}+\frac{13905}{416} (1-2 x)^{13/2}-\frac{159111}{704} (1-2 x)^{11/2}+\frac{40453}{48} (1-2 x)^{9/2}-\frac{118993}{64} (1-2 x)^{7/2}+\frac{381073}{160} (1-2 x)^{5/2}-\frac{290521}{192} (1-2 x)^{3/2}","-\frac{135}{64} (1-2 x)^{15/2}+\frac{13905}{416} (1-2 x)^{13/2}-\frac{159111}{704} (1-2 x)^{11/2}+\frac{40453}{48} (1-2 x)^{9/2}-\frac{118993}{64} (1-2 x)^{7/2}+\frac{381073}{160} (1-2 x)^{5/2}-\frac{290521}{192} (1-2 x)^{3/2}",1,"(-290521*(1 - 2*x)^(3/2))/192 + (381073*(1 - 2*x)^(5/2))/160 - (118993*(1 - 2*x)^(7/2))/64 + (40453*(1 - 2*x)^(9/2))/48 - (159111*(1 - 2*x)^(11/2))/704 + (13905*(1 - 2*x)^(13/2))/416 - (135*(1 - 2*x)^(15/2))/64","A",2,1,24,0.04167,1,"{88}"
1804,1,79,0,0.0151205,"\int \sqrt{1-2 x} (2+3 x)^3 (3+5 x)^2 \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^3*(3 + 5*x)^2,x]","\frac{675}{416} (1-2 x)^{13/2}-\frac{7695}{352} (1-2 x)^{11/2}+\frac{1949}{16} (1-2 x)^{9/2}-\frac{5711}{16} (1-2 x)^{7/2}+\frac{91091}{160} (1-2 x)^{5/2}-\frac{41503}{96} (1-2 x)^{3/2}","\frac{675}{416} (1-2 x)^{13/2}-\frac{7695}{352} (1-2 x)^{11/2}+\frac{1949}{16} (1-2 x)^{9/2}-\frac{5711}{16} (1-2 x)^{7/2}+\frac{91091}{160} (1-2 x)^{5/2}-\frac{41503}{96} (1-2 x)^{3/2}",1,"(-41503*(1 - 2*x)^(3/2))/96 + (91091*(1 - 2*x)^(5/2))/160 - (5711*(1 - 2*x)^(7/2))/16 + (1949*(1 - 2*x)^(9/2))/16 - (7695*(1 - 2*x)^(11/2))/352 + (675*(1 - 2*x)^(13/2))/416","A",2,1,24,0.04167,1,"{88}"
1805,1,66,0,0.01326,"\int \sqrt{1-2 x} (2+3 x)^2 (3+5 x)^2 \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^2,x]","-\frac{225}{176} (1-2 x)^{11/2}+\frac{85}{6} (1-2 x)^{9/2}-\frac{3467}{56} (1-2 x)^{7/2}+\frac{1309}{10} (1-2 x)^{5/2}-\frac{5929}{48} (1-2 x)^{3/2}","-\frac{225}{176} (1-2 x)^{11/2}+\frac{85}{6} (1-2 x)^{9/2}-\frac{3467}{56} (1-2 x)^{7/2}+\frac{1309}{10} (1-2 x)^{5/2}-\frac{5929}{48} (1-2 x)^{3/2}",1,"(-5929*(1 - 2*x)^(3/2))/48 + (1309*(1 - 2*x)^(5/2))/10 - (3467*(1 - 2*x)^(7/2))/56 + (85*(1 - 2*x)^(9/2))/6 - (225*(1 - 2*x)^(11/2))/176","A",2,1,24,0.04167,1,"{88}"
1806,1,53,0,0.0104894,"\int \sqrt{1-2 x} (2+3 x) (3+5 x)^2 \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^2,x]","\frac{25}{24} (1-2 x)^{9/2}-\frac{505}{56} (1-2 x)^{7/2}+\frac{1133}{40} (1-2 x)^{5/2}-\frac{847}{24} (1-2 x)^{3/2}","\frac{25}{24} (1-2 x)^{9/2}-\frac{505}{56} (1-2 x)^{7/2}+\frac{1133}{40} (1-2 x)^{5/2}-\frac{847}{24} (1-2 x)^{3/2}",1,"(-847*(1 - 2*x)^(3/2))/24 + (1133*(1 - 2*x)^(5/2))/40 - (505*(1 - 2*x)^(7/2))/56 + (25*(1 - 2*x)^(9/2))/24","A",2,1,22,0.04545,1,"{77}"
1807,1,40,0,0.0072807,"\int \sqrt{1-2 x} (3+5 x)^2 \, dx","Int[Sqrt[1 - 2*x]*(3 + 5*x)^2,x]","-\frac{25}{28} (1-2 x)^{7/2}+\frac{11}{2} (1-2 x)^{5/2}-\frac{121}{12} (1-2 x)^{3/2}","-\frac{25}{28} (1-2 x)^{7/2}+\frac{11}{2} (1-2 x)^{5/2}-\frac{121}{12} (1-2 x)^{3/2}",1,"(-121*(1 - 2*x)^(3/2))/12 + (11*(1 - 2*x)^(5/2))/2 - (25*(1 - 2*x)^(7/2))/28","A",2,1,17,0.05882,1,"{43}"
1808,1,69,0,0.0244974,"\int \frac{\sqrt{1-2 x} (3+5 x)^2}{2+3 x} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^2)/(2 + 3*x),x]","\frac{5}{6} (1-2 x)^{5/2}-\frac{155}{54} (1-2 x)^{3/2}+\frac{2}{27} \sqrt{1-2 x}-\frac{2}{27} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","\frac{5}{6} (1-2 x)^{5/2}-\frac{155}{54} (1-2 x)^{3/2}+\frac{2}{27} \sqrt{1-2 x}-\frac{2}{27} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(2*Sqrt[1 - 2*x])/27 - (155*(1 - 2*x)^(3/2))/54 + (5*(1 - 2*x)^(5/2))/6 - (2*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/27","A",5,4,24,0.1667,1,"{88, 50, 63, 206}"
1809,1,74,0,0.0200904,"\int \frac{\sqrt{1-2 x} (3+5 x)^2}{(2+3 x)^2} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^2)/(2 + 3*x)^2,x]","-\frac{(1-2 x)^{3/2}}{63 (3 x+2)}-\frac{25}{27} (1-2 x)^{3/2}-\frac{142}{189} \sqrt{1-2 x}+\frac{142 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{27 \sqrt{21}}","-\frac{(1-2 x)^{3/2}}{63 (3 x+2)}-\frac{25}{27} (1-2 x)^{3/2}-\frac{142}{189} \sqrt{1-2 x}+\frac{142 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{27 \sqrt{21}}",1,"(-142*Sqrt[1 - 2*x])/189 - (25*(1 - 2*x)^(3/2))/27 - (1 - 2*x)^(3/2)/(63*(2 + 3*x)) + (142*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(27*Sqrt[21])","A",5,5,24,0.2083,1,"{89, 80, 50, 63, 206}"
1810,1,81,0,0.0196552,"\int \frac{\sqrt{1-2 x} (3+5 x)^2}{(2+3 x)^3} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^2)/(2 + 3*x)^3,x]","\frac{139 (1-2 x)^{3/2}}{882 (3 x+2)}-\frac{(1-2 x)^{3/2}}{126 (3 x+2)^2}+\frac{863}{441} \sqrt{1-2 x}-\frac{863 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{63 \sqrt{21}}","\frac{139 (1-2 x)^{3/2}}{882 (3 x+2)}-\frac{(1-2 x)^{3/2}}{126 (3 x+2)^2}+\frac{863}{441} \sqrt{1-2 x}-\frac{863 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{63 \sqrt{21}}",1,"(863*Sqrt[1 - 2*x])/441 - (1 - 2*x)^(3/2)/(126*(2 + 3*x)^2) + (139*(1 - 2*x)^(3/2))/(882*(2 + 3*x)) - (863*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(63*Sqrt[21])","A",5,5,24,0.2083,1,"{89, 78, 50, 63, 206}"
1811,1,88,0,0.0214066,"\int \frac{\sqrt{1-2 x} (3+5 x)^2}{(2+3 x)^4} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^2)/(2 + 3*x)^4,x]","\frac{23 (1-2 x)^{3/2}}{294 (3 x+2)^2}-\frac{(1-2 x)^{3/2}}{189 (3 x+2)^3}-\frac{2381 \sqrt{1-2 x}}{2646 (3 x+2)}+\frac{2381 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1323 \sqrt{21}}","\frac{23 (1-2 x)^{3/2}}{294 (3 x+2)^2}-\frac{(1-2 x)^{3/2}}{189 (3 x+2)^3}-\frac{2381 \sqrt{1-2 x}}{2646 (3 x+2)}+\frac{2381 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1323 \sqrt{21}}",1,"-(1 - 2*x)^(3/2)/(189*(2 + 3*x)^3) + (23*(1 - 2*x)^(3/2))/(294*(2 + 3*x)^2) - (2381*Sqrt[1 - 2*x])/(2646*(2 + 3*x)) + (2381*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(1323*Sqrt[21])","A",5,5,24,0.2083,1,"{89, 78, 47, 63, 206}"
1812,1,108,0,0.029322,"\int \frac{\sqrt{1-2 x} (3+5 x)^2}{(2+3 x)^5} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^2)/(2 + 3*x)^5,x]","\frac{275 (1-2 x)^{3/2}}{5292 (3 x+2)^3}-\frac{(1-2 x)^{3/2}}{252 (3 x+2)^4}+\frac{4625 \sqrt{1-2 x}}{74088 (3 x+2)}-\frac{4625 \sqrt{1-2 x}}{10584 (3 x+2)^2}+\frac{4625 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{37044 \sqrt{21}}","\frac{275 (1-2 x)^{3/2}}{5292 (3 x+2)^3}-\frac{(1-2 x)^{3/2}}{252 (3 x+2)^4}+\frac{4625 \sqrt{1-2 x}}{74088 (3 x+2)}-\frac{4625 \sqrt{1-2 x}}{10584 (3 x+2)^2}+\frac{4625 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{37044 \sqrt{21}}",1,"-(1 - 2*x)^(3/2)/(252*(2 + 3*x)^4) + (275*(1 - 2*x)^(3/2))/(5292*(2 + 3*x)^3) - (4625*Sqrt[1 - 2*x])/(10584*(2 + 3*x)^2) + (4625*Sqrt[1 - 2*x])/(74088*(2 + 3*x)) + (4625*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(37044*Sqrt[21])","A",6,6,24,0.2500,1,"{89, 78, 47, 51, 63, 206}"
1813,1,128,0,0.037988,"\int \frac{\sqrt{1-2 x} (3+5 x)^2}{(2+3 x)^6} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^2)/(2 + 3*x)^6,x]","\frac{7 (1-2 x)^{3/2}}{180 (3 x+2)^4}-\frac{(1-2 x)^{3/2}}{315 (3 x+2)^5}+\frac{31 \sqrt{1-2 x}}{3528 (3 x+2)}+\frac{31 \sqrt{1-2 x}}{1512 (3 x+2)^2}-\frac{31 \sqrt{1-2 x}}{108 (3 x+2)^3}+\frac{31 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1764 \sqrt{21}}","\frac{7 (1-2 x)^{3/2}}{180 (3 x+2)^4}-\frac{(1-2 x)^{3/2}}{315 (3 x+2)^5}+\frac{31 \sqrt{1-2 x}}{3528 (3 x+2)}+\frac{31 \sqrt{1-2 x}}{1512 (3 x+2)^2}-\frac{31 \sqrt{1-2 x}}{108 (3 x+2)^3}+\frac{31 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1764 \sqrt{21}}",1,"-(1 - 2*x)^(3/2)/(315*(2 + 3*x)^5) + (7*(1 - 2*x)^(3/2))/(180*(2 + 3*x)^4) - (31*Sqrt[1 - 2*x])/(108*(2 + 3*x)^3) + (31*Sqrt[1 - 2*x])/(1512*(2 + 3*x)^2) + (31*Sqrt[1 - 2*x])/(3528*(2 + 3*x)) + (31*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(1764*Sqrt[21])","A",7,6,24,0.2500,1,"{89, 78, 47, 51, 63, 206}"
1814,1,148,0,0.0512634,"\int \frac{\sqrt{1-2 x} (3+5 x)^2}{(2+3 x)^7} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^2)/(2 + 3*x)^7,x]","\frac{137 (1-2 x)^{3/2}}{4410 (3 x+2)^5}-\frac{(1-2 x)^{3/2}}{378 (3 x+2)^6}+\frac{1613 \sqrt{1-2 x}}{1037232 (3 x+2)}+\frac{1613 \sqrt{1-2 x}}{444528 (3 x+2)^2}+\frac{1613 \sqrt{1-2 x}}{158760 (3 x+2)^3}-\frac{1613 \sqrt{1-2 x}}{7560 (3 x+2)^4}+\frac{1613 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{518616 \sqrt{21}}","\frac{137 (1-2 x)^{3/2}}{4410 (3 x+2)^5}-\frac{(1-2 x)^{3/2}}{378 (3 x+2)^6}+\frac{1613 \sqrt{1-2 x}}{1037232 (3 x+2)}+\frac{1613 \sqrt{1-2 x}}{444528 (3 x+2)^2}+\frac{1613 \sqrt{1-2 x}}{158760 (3 x+2)^3}-\frac{1613 \sqrt{1-2 x}}{7560 (3 x+2)^4}+\frac{1613 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{518616 \sqrt{21}}",1,"-(1 - 2*x)^(3/2)/(378*(2 + 3*x)^6) + (137*(1 - 2*x)^(3/2))/(4410*(2 + 3*x)^5) - (1613*Sqrt[1 - 2*x])/(7560*(2 + 3*x)^4) + (1613*Sqrt[1 - 2*x])/(158760*(2 + 3*x)^3) + (1613*Sqrt[1 - 2*x])/(444528*(2 + 3*x)^2) + (1613*Sqrt[1 - 2*x])/(1037232*(2 + 3*x)) + (1613*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(518616*Sqrt[21])","A",8,6,24,0.2500,1,"{89, 78, 47, 51, 63, 206}"
1815,1,105,0,0.0191593,"\int \sqrt{1-2 x} (2+3 x)^4 (3+5 x)^3 \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^4*(3 + 5*x)^3,x]","\frac{10125 (1-2 x)^{17/2}}{2176}-\frac{10755}{128} (1-2 x)^{15/2}+\frac{1101465 (1-2 x)^{13/2}}{1664}-\frac{4177401 (1-2 x)^{11/2}}{1408}+\frac{9504551 (1-2 x)^{9/2}}{1152}-\frac{1853313}{128} (1-2 x)^{7/2}+\frac{9836211}{640} (1-2 x)^{5/2}-\frac{3195731}{384} (1-2 x)^{3/2}","\frac{10125 (1-2 x)^{17/2}}{2176}-\frac{10755}{128} (1-2 x)^{15/2}+\frac{1101465 (1-2 x)^{13/2}}{1664}-\frac{4177401 (1-2 x)^{11/2}}{1408}+\frac{9504551 (1-2 x)^{9/2}}{1152}-\frac{1853313}{128} (1-2 x)^{7/2}+\frac{9836211}{640} (1-2 x)^{5/2}-\frac{3195731}{384} (1-2 x)^{3/2}",1,"(-3195731*(1 - 2*x)^(3/2))/384 + (9836211*(1 - 2*x)^(5/2))/640 - (1853313*(1 - 2*x)^(7/2))/128 + (9504551*(1 - 2*x)^(9/2))/1152 - (4177401*(1 - 2*x)^(11/2))/1408 + (1101465*(1 - 2*x)^(13/2))/1664 - (10755*(1 - 2*x)^(15/2))/128 + (10125*(1 - 2*x)^(17/2))/2176","A",2,1,24,0.04167,1,"{88}"
1816,1,92,0,0.0167199,"\int \sqrt{1-2 x} (2+3 x)^3 (3+5 x)^3 \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^3*(3 + 5*x)^3,x]","-\frac{225}{64} (1-2 x)^{15/2}+\frac{11475}{208} (1-2 x)^{13/2}-\frac{260055}{704} (1-2 x)^{11/2}+\frac{98209}{72} (1-2 x)^{9/2}-\frac{190707}{64} (1-2 x)^{7/2}+\frac{302379}{80} (1-2 x)^{5/2}-\frac{456533}{192} (1-2 x)^{3/2}","-\frac{225}{64} (1-2 x)^{15/2}+\frac{11475}{208} (1-2 x)^{13/2}-\frac{260055}{704} (1-2 x)^{11/2}+\frac{98209}{72} (1-2 x)^{9/2}-\frac{190707}{64} (1-2 x)^{7/2}+\frac{302379}{80} (1-2 x)^{5/2}-\frac{456533}{192} (1-2 x)^{3/2}",1,"(-456533*(1 - 2*x)^(3/2))/192 + (302379*(1 - 2*x)^(5/2))/80 - (190707*(1 - 2*x)^(7/2))/64 + (98209*(1 - 2*x)^(9/2))/72 - (260055*(1 - 2*x)^(11/2))/704 + (11475*(1 - 2*x)^(13/2))/208 - (225*(1 - 2*x)^(15/2))/64","A",2,1,24,0.04167,1,"{88}"
1817,1,79,0,0.0142067,"\int \sqrt{1-2 x} (2+3 x)^2 (3+5 x)^3 \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^3,x]","\frac{1125}{416} (1-2 x)^{13/2}-\frac{12675}{352} (1-2 x)^{11/2}+\frac{28555}{144} (1-2 x)^{9/2}-\frac{64317}{112} (1-2 x)^{7/2}+\frac{144837}{160} (1-2 x)^{5/2}-\frac{65219}{96} (1-2 x)^{3/2}","\frac{1125}{416} (1-2 x)^{13/2}-\frac{12675}{352} (1-2 x)^{11/2}+\frac{28555}{144} (1-2 x)^{9/2}-\frac{64317}{112} (1-2 x)^{7/2}+\frac{144837}{160} (1-2 x)^{5/2}-\frac{65219}{96} (1-2 x)^{3/2}",1,"(-65219*(1 - 2*x)^(3/2))/96 + (144837*(1 - 2*x)^(5/2))/160 - (64317*(1 - 2*x)^(7/2))/112 + (28555*(1 - 2*x)^(9/2))/144 - (12675*(1 - 2*x)^(11/2))/352 + (1125*(1 - 2*x)^(13/2))/416","A",2,1,24,0.04167,1,"{88}"
1818,1,66,0,0.0116714,"\int \sqrt{1-2 x} (2+3 x) (3+5 x)^3 \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^3,x]","-\frac{375}{176} (1-2 x)^{11/2}+\frac{1675}{72} (1-2 x)^{9/2}-\frac{2805}{28} (1-2 x)^{7/2}+\frac{8349}{40} (1-2 x)^{5/2}-\frac{9317}{48} (1-2 x)^{3/2}","-\frac{375}{176} (1-2 x)^{11/2}+\frac{1675}{72} (1-2 x)^{9/2}-\frac{2805}{28} (1-2 x)^{7/2}+\frac{8349}{40} (1-2 x)^{5/2}-\frac{9317}{48} (1-2 x)^{3/2}",1,"(-9317*(1 - 2*x)^(3/2))/48 + (8349*(1 - 2*x)^(5/2))/40 - (2805*(1 - 2*x)^(7/2))/28 + (1675*(1 - 2*x)^(9/2))/72 - (375*(1 - 2*x)^(11/2))/176","A",2,1,22,0.04545,1,"{77}"
1819,1,53,0,0.009292,"\int \sqrt{1-2 x} (3+5 x)^3 \, dx","Int[Sqrt[1 - 2*x]*(3 + 5*x)^3,x]","\frac{125}{72} (1-2 x)^{9/2}-\frac{825}{56} (1-2 x)^{7/2}+\frac{363}{8} (1-2 x)^{5/2}-\frac{1331}{24} (1-2 x)^{3/2}","\frac{125}{72} (1-2 x)^{9/2}-\frac{825}{56} (1-2 x)^{7/2}+\frac{363}{8} (1-2 x)^{5/2}-\frac{1331}{24} (1-2 x)^{3/2}",1,"(-1331*(1 - 2*x)^(3/2))/24 + (363*(1 - 2*x)^(5/2))/8 - (825*(1 - 2*x)^(7/2))/56 + (125*(1 - 2*x)^(9/2))/72","A",2,1,17,0.05882,1,"{43}"
1820,1,82,0,0.0285323,"\int \frac{\sqrt{1-2 x} (3+5 x)^3}{2+3 x} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^3)/(2 + 3*x),x]","-\frac{125}{84} (1-2 x)^{7/2}+\frac{80}{9} (1-2 x)^{5/2}-\frac{5135}{324} (1-2 x)^{3/2}-\frac{2}{81} \sqrt{1-2 x}+\frac{2}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","-\frac{125}{84} (1-2 x)^{7/2}+\frac{80}{9} (1-2 x)^{5/2}-\frac{5135}{324} (1-2 x)^{3/2}-\frac{2}{81} \sqrt{1-2 x}+\frac{2}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(-2*Sqrt[1 - 2*x])/81 - (5135*(1 - 2*x)^(3/2))/324 + (80*(1 - 2*x)^(5/2))/9 - (125*(1 - 2*x)^(7/2))/84 + (2*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/81","A",5,4,24,0.1667,1,"{88, 50, 63, 206}"
1821,1,93,0,0.0277882,"\int \frac{\sqrt{1-2 x} (3+5 x)^3}{(2+3 x)^2} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^3)/(2 + 3*x)^2,x]","-\frac{\sqrt{1-2 x} (5 x+3)^3}{3 (3 x+2)}+\frac{7}{9} \sqrt{1-2 x} (5 x+3)^2-\frac{2}{81} \sqrt{1-2 x} (170 x+211)-\frac{212 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{81 \sqrt{21}}","-\frac{\sqrt{1-2 x} (5 x+3)^3}{3 (3 x+2)}+\frac{7}{9} \sqrt{1-2 x} (5 x+3)^2-\frac{2}{81} \sqrt{1-2 x} (170 x+211)-\frac{212 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{81 \sqrt{21}}",1,"(7*Sqrt[1 - 2*x]*(3 + 5*x)^2)/9 - (Sqrt[1 - 2*x]*(3 + 5*x)^3)/(3*(2 + 3*x)) - (2*Sqrt[1 - 2*x]*(211 + 170*x))/81 - (212*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(81*Sqrt[21])","A",5,5,24,0.2083,1,"{97, 153, 147, 63, 206}"
1822,1,100,0,0.0278372,"\int \frac{\sqrt{1-2 x} (3+5 x)^3}{(2+3 x)^3} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^3)/(2 + 3*x)^3,x]","-\frac{\sqrt{1-2 x} (5 x+3)^3}{6 (3 x+2)^2}-\frac{53 \sqrt{1-2 x} (5 x+3)^2}{63 (3 x+2)}+\frac{5 \sqrt{1-2 x} (2815 x+323)}{1134}+\frac{7559 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{567 \sqrt{21}}","-\frac{\sqrt{1-2 x} (5 x+3)^3}{6 (3 x+2)^2}-\frac{53 \sqrt{1-2 x} (5 x+3)^2}{63 (3 x+2)}+\frac{5 \sqrt{1-2 x} (2815 x+323)}{1134}+\frac{7559 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{567 \sqrt{21}}",1,"(-53*Sqrt[1 - 2*x]*(3 + 5*x)^2)/(63*(2 + 3*x)) - (Sqrt[1 - 2*x]*(3 + 5*x)^3)/(6*(2 + 3*x)^2) + (5*Sqrt[1 - 2*x]*(323 + 2815*x))/1134 + (7559*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(567*Sqrt[21])","A",5,5,24,0.2083,1,"{97, 149, 147, 63, 206}"
1823,1,107,0,0.0281685,"\int \frac{\sqrt{1-2 x} (3+5 x)^3}{(2+3 x)^4} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^3)/(2 + 3*x)^4,x]","-\frac{\sqrt{1-2 x} (5 x+3)^3}{9 (3 x+2)^3}-\frac{53 \sqrt{1-2 x} (5 x+3)^2}{189 (3 x+2)^2}+\frac{2 \sqrt{1-2 x} (26075 x+18016)}{3969 (3 x+2)}-\frac{92996 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{3969 \sqrt{21}}","-\frac{\sqrt{1-2 x} (5 x+3)^3}{9 (3 x+2)^3}-\frac{53 \sqrt{1-2 x} (5 x+3)^2}{189 (3 x+2)^2}+\frac{2 \sqrt{1-2 x} (26075 x+18016)}{3969 (3 x+2)}-\frac{92996 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{3969 \sqrt{21}}",1,"(-53*Sqrt[1 - 2*x]*(3 + 5*x)^2)/(189*(2 + 3*x)^2) - (Sqrt[1 - 2*x]*(3 + 5*x)^3)/(9*(2 + 3*x)^3) + (2*Sqrt[1 - 2*x]*(18016 + 26075*x))/(3969*(2 + 3*x)) - (92996*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(3969*Sqrt[21])","A",5,5,24,0.2083,1,"{97, 149, 146, 63, 206}"
1824,1,107,0,0.0292461,"\int \frac{\sqrt{1-2 x} (3+5 x)^3}{(2+3 x)^5} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^3)/(2 + 3*x)^5,x]","-\frac{\sqrt{1-2 x} (5 x+3)^3}{12 (3 x+2)^4}-\frac{53 \sqrt{1-2 x} (5 x+3)^2}{378 (3 x+2)^3}-\frac{5 \sqrt{1-2 x} (110981 x+70429)}{222264 (3 x+2)^2}+\frac{328715 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{111132 \sqrt{21}}","-\frac{\sqrt{1-2 x} (5 x+3)^3}{12 (3 x+2)^4}-\frac{53 \sqrt{1-2 x} (5 x+3)^2}{378 (3 x+2)^3}-\frac{5 \sqrt{1-2 x} (110981 x+70429)}{222264 (3 x+2)^2}+\frac{328715 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{111132 \sqrt{21}}",1,"(-53*Sqrt[1 - 2*x]*(3 + 5*x)^2)/(378*(2 + 3*x)^3) - (Sqrt[1 - 2*x]*(3 + 5*x)^3)/(12*(2 + 3*x)^4) - (5*Sqrt[1 - 2*x]*(70429 + 110981*x))/(222264*(2 + 3*x)^2) + (328715*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(111132*Sqrt[21])","A",5,5,24,0.2083,1,"{97, 149, 145, 63, 206}"
1825,1,127,0,0.0397103,"\int \frac{\sqrt{1-2 x} (3+5 x)^3}{(2+3 x)^6} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^3)/(2 + 3*x)^6,x]","-\frac{\sqrt{1-2 x} (5 x+3)^3}{15 (3 x+2)^5}-\frac{53 \sqrt{1-2 x} (5 x+3)^2}{630 (3 x+2)^4}-\frac{\sqrt{1-2 x} (59665 x+37224)}{79380 (3 x+2)^3}+\frac{11237 \sqrt{1-2 x}}{111132 (3 x+2)}+\frac{11237 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{55566 \sqrt{21}}","-\frac{\sqrt{1-2 x} (5 x+3)^3}{15 (3 x+2)^5}-\frac{53 \sqrt{1-2 x} (5 x+3)^2}{630 (3 x+2)^4}-\frac{\sqrt{1-2 x} (59665 x+37224)}{79380 (3 x+2)^3}+\frac{11237 \sqrt{1-2 x}}{111132 (3 x+2)}+\frac{11237 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{55566 \sqrt{21}}",1,"(11237*Sqrt[1 - 2*x])/(111132*(2 + 3*x)) - (53*Sqrt[1 - 2*x]*(3 + 5*x)^2)/(630*(2 + 3*x)^4) - (Sqrt[1 - 2*x]*(3 + 5*x)^3)/(15*(2 + 3*x)^5) - (Sqrt[1 - 2*x]*(37224 + 59665*x))/(79380*(2 + 3*x)^3) + (11237*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(55566*Sqrt[21])","A",6,6,24,0.2500,1,"{97, 149, 145, 51, 63, 206}"
1826,1,147,0,0.0475691,"\int \frac{\sqrt{1-2 x} (3+5 x)^3}{(2+3 x)^7} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^3)/(2 + 3*x)^7,x]","-\frac{\sqrt{1-2 x} (5 x+3)^3}{18 (3 x+2)^6}-\frac{53 \sqrt{1-2 x} (5 x+3)^2}{945 (3 x+2)^5}-\frac{\sqrt{1-2 x} (160029 x+98995)}{476280 (3 x+2)^4}+\frac{43957 \sqrt{1-2 x}}{3111696 (3 x+2)}+\frac{43957 \sqrt{1-2 x}}{1333584 (3 x+2)^2}+\frac{43957 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1555848 \sqrt{21}}","-\frac{\sqrt{1-2 x} (5 x+3)^3}{18 (3 x+2)^6}-\frac{53 \sqrt{1-2 x} (5 x+3)^2}{945 (3 x+2)^5}-\frac{\sqrt{1-2 x} (160029 x+98995)}{476280 (3 x+2)^4}+\frac{43957 \sqrt{1-2 x}}{3111696 (3 x+2)}+\frac{43957 \sqrt{1-2 x}}{1333584 (3 x+2)^2}+\frac{43957 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1555848 \sqrt{21}}",1,"(43957*Sqrt[1 - 2*x])/(1333584*(2 + 3*x)^2) + (43957*Sqrt[1 - 2*x])/(3111696*(2 + 3*x)) - (53*Sqrt[1 - 2*x]*(3 + 5*x)^2)/(945*(2 + 3*x)^5) - (Sqrt[1 - 2*x]*(3 + 5*x)^3)/(18*(2 + 3*x)^6) - (Sqrt[1 - 2*x]*(98995 + 160029*x))/(476280*(2 + 3*x)^4) + (43957*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(1555848*Sqrt[21])","A",7,6,24,0.2500,1,"{97, 149, 145, 51, 63, 206}"
1827,1,167,0,0.0552626,"\int \frac{\sqrt{1-2 x} (3+5 x)^3}{(2+3 x)^8} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^3)/(2 + 3*x)^8,x]","-\frac{\sqrt{1-2 x} (5 x+3)^3}{21 (3 x+2)^7}-\frac{53 \sqrt{1-2 x} (5 x+3)^2}{1323 (3 x+2)^6}-\frac{2 \sqrt{1-2 x} (88099 x+54227)}{972405 (3 x+2)^5}+\frac{23717 \sqrt{1-2 x}}{9529569 (3 x+2)}+\frac{23717 \sqrt{1-2 x}}{4084101 (3 x+2)^2}+\frac{47434 \sqrt{1-2 x}}{2917215 (3 x+2)^3}+\frac{47434 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9529569 \sqrt{21}}","-\frac{\sqrt{1-2 x} (5 x+3)^3}{21 (3 x+2)^7}-\frac{53 \sqrt{1-2 x} (5 x+3)^2}{1323 (3 x+2)^6}-\frac{2 \sqrt{1-2 x} (88099 x+54227)}{972405 (3 x+2)^5}+\frac{23717 \sqrt{1-2 x}}{9529569 (3 x+2)}+\frac{23717 \sqrt{1-2 x}}{4084101 (3 x+2)^2}+\frac{47434 \sqrt{1-2 x}}{2917215 (3 x+2)^3}+\frac{47434 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9529569 \sqrt{21}}",1,"(47434*Sqrt[1 - 2*x])/(2917215*(2 + 3*x)^3) + (23717*Sqrt[1 - 2*x])/(4084101*(2 + 3*x)^2) + (23717*Sqrt[1 - 2*x])/(9529569*(2 + 3*x)) - (53*Sqrt[1 - 2*x]*(3 + 5*x)^2)/(1323*(2 + 3*x)^6) - (Sqrt[1 - 2*x]*(3 + 5*x)^3)/(21*(2 + 3*x)^7) - (2*Sqrt[1 - 2*x]*(54227 + 88099*x))/(972405*(2 + 3*x)^5) + (47434*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(9529569*Sqrt[21])","A",8,6,24,0.2500,1,"{97, 149, 145, 51, 63, 206}"
1828,1,95,0,0.0305313,"\int \frac{\sqrt{1-2 x} (2+3 x)^4}{3+5 x} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^4)/(3 + 5*x),x]","\frac{9}{40} (1-2 x)^{9/2}-\frac{2889 (1-2 x)^{7/2}}{1400}+\frac{34371 (1-2 x)^{5/2}}{5000}-\frac{45473 (1-2 x)^{3/2}}{5000}+\frac{2 \sqrt{1-2 x}}{3125}-\frac{2 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125}","\frac{9}{40} (1-2 x)^{9/2}-\frac{2889 (1-2 x)^{7/2}}{1400}+\frac{34371 (1-2 x)^{5/2}}{5000}-\frac{45473 (1-2 x)^{3/2}}{5000}+\frac{2 \sqrt{1-2 x}}{3125}-\frac{2 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125}",1,"(2*Sqrt[1 - 2*x])/3125 - (45473*(1 - 2*x)^(3/2))/5000 + (34371*(1 - 2*x)^(5/2))/5000 - (2889*(1 - 2*x)^(7/2))/1400 + (9*(1 - 2*x)^(9/2))/40 - (2*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/3125","A",5,4,24,0.1667,1,"{88, 50, 63, 206}"
1829,1,82,0,0.0272052,"\int \frac{\sqrt{1-2 x} (2+3 x)^3}{3+5 x} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^3)/(3 + 5*x),x]","-\frac{27}{140} (1-2 x)^{7/2}+\frac{162}{125} (1-2 x)^{5/2}-\frac{1299}{500} (1-2 x)^{3/2}+\frac{2}{625} \sqrt{1-2 x}-\frac{2}{625} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{27}{140} (1-2 x)^{7/2}+\frac{162}{125} (1-2 x)^{5/2}-\frac{1299}{500} (1-2 x)^{3/2}+\frac{2}{625} \sqrt{1-2 x}-\frac{2}{625} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(2*Sqrt[1 - 2*x])/625 - (1299*(1 - 2*x)^(3/2))/500 + (162*(1 - 2*x)^(5/2))/125 - (27*(1 - 2*x)^(7/2))/140 - (2*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/625","A",5,4,24,0.1667,1,"{88, 50, 63, 206}"
1830,1,69,0,0.0240918,"\int \frac{\sqrt{1-2 x} (2+3 x)^2}{3+5 x} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^2)/(3 + 5*x),x]","\frac{9}{50} (1-2 x)^{5/2}-\frac{37}{50} (1-2 x)^{3/2}+\frac{2}{125} \sqrt{1-2 x}-\frac{2}{125} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{9}{50} (1-2 x)^{5/2}-\frac{37}{50} (1-2 x)^{3/2}+\frac{2}{125} \sqrt{1-2 x}-\frac{2}{125} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(2*Sqrt[1 - 2*x])/125 - (37*(1 - 2*x)^(3/2))/50 + (9*(1 - 2*x)^(5/2))/50 - (2*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/125","A",5,4,24,0.1667,1,"{88, 50, 63, 206}"
1831,1,56,0,0.0129875,"\int \frac{\sqrt{1-2 x} (2+3 x)}{3+5 x} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x))/(3 + 5*x),x]","-\frac{1}{5} (1-2 x)^{3/2}+\frac{2}{25} \sqrt{1-2 x}-\frac{2}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{1}{5} (1-2 x)^{3/2}+\frac{2}{25} \sqrt{1-2 x}-\frac{2}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(2*Sqrt[1 - 2*x])/25 - (1 - 2*x)^(3/2)/5 - (2*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/25","A",4,4,22,0.1818,1,"{80, 50, 63, 206}"
1832,1,43,0,0.0084978,"\int \frac{\sqrt{1-2 x}}{3+5 x} \, dx","Int[Sqrt[1 - 2*x]/(3 + 5*x),x]","\frac{2}{5} \sqrt{1-2 x}-\frac{2}{5} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{2}{5} \sqrt{1-2 x}-\frac{2}{5} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(2*Sqrt[1 - 2*x])/5 - (2*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/5","A",3,3,17,0.1765,1,"{50, 63, 206}"
1833,1,55,0,0.0150551,"\int \frac{\sqrt{1-2 x}}{(2+3 x) (3+5 x)} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)*(3 + 5*x)),x]","2 \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-2 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","2 \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-2 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"2*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] - 2*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",5,3,24,0.1250,1,"{83, 63, 206}"
1834,1,68,0,0.0232559,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^2 (3+5 x)} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^2*(3 + 5*x)),x]","\frac{\sqrt{1-2 x}}{3 x+2}+\frac{68 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{\sqrt{21}}-2 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{\sqrt{1-2 x}}{3 x+2}+\frac{68 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{\sqrt{21}}-2 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"Sqrt[1 - 2*x]/(2 + 3*x) + (68*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/Sqrt[21] - 2*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",6,4,24,0.1667,1,"{99, 156, 63, 206}"
1835,1,95,0,0.0352092,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^3 (3+5 x)} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^3*(3 + 5*x)),x]","\frac{69 \sqrt{1-2 x}}{14 (3 x+2)}+\frac{\sqrt{1-2 x}}{2 (3 x+2)^2}+\frac{793}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-10 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{69 \sqrt{1-2 x}}{14 (3 x+2)}+\frac{\sqrt{1-2 x}}{2 (3 x+2)^2}+\frac{793}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-10 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"Sqrt[1 - 2*x]/(2*(2 + 3*x)^2) + (69*Sqrt[1 - 2*x])/(14*(2 + 3*x)) + (793*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/7 - 10*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",7,5,24,0.2083,1,"{99, 151, 156, 63, 206}"
1836,1,113,0,0.0446905,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^4 (3+5 x)} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^4*(3 + 5*x)),x]","\frac{1207 \sqrt{1-2 x}}{49 (3 x+2)}+\frac{52 \sqrt{1-2 x}}{21 (3 x+2)^2}+\frac{\sqrt{1-2 x}}{3 (3 x+2)^3}+\frac{83264 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{49 \sqrt{21}}-50 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{1207 \sqrt{1-2 x}}{49 (3 x+2)}+\frac{52 \sqrt{1-2 x}}{21 (3 x+2)^2}+\frac{\sqrt{1-2 x}}{3 (3 x+2)^3}+\frac{83264 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{49 \sqrt{21}}-50 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"Sqrt[1 - 2*x]/(3*(2 + 3*x)^3) + (52*Sqrt[1 - 2*x])/(21*(2 + 3*x)^2) + (1207*Sqrt[1 - 2*x])/(49*(2 + 3*x)) + (83264*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(49*Sqrt[21]) - 50*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",8,5,24,0.2083,1,"{99, 151, 156, 63, 206}"
1837,1,133,0,0.058789,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^5 (3+5 x)} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^5*(3 + 5*x)),x]","\frac{337955 \sqrt{1-2 x}}{2744 (3 x+2)}+\frac{14555 \sqrt{1-2 x}}{1176 (3 x+2)^2}+\frac{139 \sqrt{1-2 x}}{84 (3 x+2)^3}+\frac{\sqrt{1-2 x}}{4 (3 x+2)^4}+\frac{11656955 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1372 \sqrt{21}}-250 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{337955 \sqrt{1-2 x}}{2744 (3 x+2)}+\frac{14555 \sqrt{1-2 x}}{1176 (3 x+2)^2}+\frac{139 \sqrt{1-2 x}}{84 (3 x+2)^3}+\frac{\sqrt{1-2 x}}{4 (3 x+2)^4}+\frac{11656955 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1372 \sqrt{21}}-250 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"Sqrt[1 - 2*x]/(4*(2 + 3*x)^4) + (139*Sqrt[1 - 2*x])/(84*(2 + 3*x)^3) + (14555*Sqrt[1 - 2*x])/(1176*(2 + 3*x)^2) + (337955*Sqrt[1 - 2*x])/(2744*(2 + 3*x)) + (11656955*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(1372*Sqrt[21]) - 250*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",9,5,24,0.2083,1,"{99, 151, 156, 63, 206}"
1838,1,133,0,0.0479381,"\int \frac{\sqrt{1-2 x} (2+3 x)^5}{(3+5 x)^2} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^5)/(3 + 5*x)^2,x]","-\frac{\sqrt{1-2 x} (3 x+2)^5}{5 (5 x+3)}+\frac{11}{75} \sqrt{1-2 x} (3 x+2)^4+\frac{64 \sqrt{1-2 x} (3 x+2)^3}{2625}-\frac{172 \sqrt{1-2 x} (3 x+2)^2}{3125}-\frac{4 \sqrt{1-2 x} (3625 x+10998)}{15625}-\frac{328 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15625 \sqrt{55}}","-\frac{\sqrt{1-2 x} (3 x+2)^5}{5 (5 x+3)}+\frac{11}{75} \sqrt{1-2 x} (3 x+2)^4+\frac{64 \sqrt{1-2 x} (3 x+2)^3}{2625}-\frac{172 \sqrt{1-2 x} (3 x+2)^2}{3125}-\frac{4 \sqrt{1-2 x} (3625 x+10998)}{15625}-\frac{328 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15625 \sqrt{55}}",1,"(-172*Sqrt[1 - 2*x]*(2 + 3*x)^2)/3125 + (64*Sqrt[1 - 2*x]*(2 + 3*x)^3)/2625 + (11*Sqrt[1 - 2*x]*(2 + 3*x)^4)/75 - (Sqrt[1 - 2*x]*(2 + 3*x)^5)/(5*(3 + 5*x)) - (4*Sqrt[1 - 2*x]*(10998 + 3625*x))/15625 - (328*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(15625*Sqrt[55])","A",7,5,24,0.2083,1,"{97, 153, 147, 63, 206}"
1839,1,113,0,0.0390995,"\int \frac{\sqrt{1-2 x} (2+3 x)^4}{(3+5 x)^2} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^4)/(3 + 5*x)^2,x]","-\frac{\sqrt{1-2 x} (3 x+2)^4}{5 (5 x+3)}+\frac{27}{175} \sqrt{1-2 x} (3 x+2)^3+\frac{12}{625} \sqrt{1-2 x} (3 x+2)^2-\frac{3 \sqrt{1-2 x} (375 x+1256)}{3125}-\frac{262 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125 \sqrt{55}}","-\frac{\sqrt{1-2 x} (3 x+2)^4}{5 (5 x+3)}+\frac{27}{175} \sqrt{1-2 x} (3 x+2)^3+\frac{12}{625} \sqrt{1-2 x} (3 x+2)^2-\frac{3 \sqrt{1-2 x} (375 x+1256)}{3125}-\frac{262 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125 \sqrt{55}}",1,"(12*Sqrt[1 - 2*x]*(2 + 3*x)^2)/625 + (27*Sqrt[1 - 2*x]*(2 + 3*x)^3)/175 - (Sqrt[1 - 2*x]*(2 + 3*x)^4)/(5*(3 + 5*x)) - (3*Sqrt[1 - 2*x]*(1256 + 375*x))/3125 - (262*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(3125*Sqrt[55])","A",6,5,24,0.2083,1,"{97, 153, 147, 63, 206}"
1840,1,88,0,0.0268392,"\int \frac{\sqrt{1-2 x} (2+3 x)^3}{(3+5 x)^2} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^3)/(3 + 5*x)^2,x]","-\frac{\sqrt{1-2 x} (3 x+2)^3}{5 (5 x+3)}+\frac{21}{125} \sqrt{1-2 x} (3 x+2)^2-\frac{294}{625} \sqrt{1-2 x}-\frac{196 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{625 \sqrt{55}}","-\frac{\sqrt{1-2 x} (3 x+2)^3}{5 (5 x+3)}+\frac{21}{125} \sqrt{1-2 x} (3 x+2)^2-\frac{294}{625} \sqrt{1-2 x}-\frac{196 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{625 \sqrt{55}}",1,"(-294*Sqrt[1 - 2*x])/625 + (21*Sqrt[1 - 2*x]*(2 + 3*x)^2)/125 - (Sqrt[1 - 2*x]*(2 + 3*x)^3)/(5*(3 + 5*x)) - (196*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(625*Sqrt[55])","A",6,6,24,0.2500,1,"{97, 153, 12, 80, 63, 206}"
1841,1,74,0,0.0184492,"\int \frac{\sqrt{1-2 x} (2+3 x)^2}{(3+5 x)^2} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^2)/(3 + 5*x)^2,x]","-\frac{(1-2 x)^{3/2}}{275 (5 x+3)}-\frac{3}{25} (1-2 x)^{3/2}+\frac{26}{275} \sqrt{1-2 x}-\frac{26 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{25 \sqrt{55}}","-\frac{(1-2 x)^{3/2}}{275 (5 x+3)}-\frac{3}{25} (1-2 x)^{3/2}+\frac{26}{275} \sqrt{1-2 x}-\frac{26 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{25 \sqrt{55}}",1,"(26*Sqrt[1 - 2*x])/275 - (3*(1 - 2*x)^(3/2))/25 - (1 - 2*x)^(3/2)/(275*(3 + 5*x)) - (26*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(25*Sqrt[55])","A",5,5,24,0.2083,1,"{89, 80, 50, 63, 206}"
1842,1,61,0,0.0129792,"\int \frac{\sqrt{1-2 x} (2+3 x)}{(3+5 x)^2} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x))/(3 + 5*x)^2,x]","-\frac{(1-2 x)^{3/2}}{55 (5 x+3)}+\frac{64}{275} \sqrt{1-2 x}-\frac{64 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{25 \sqrt{55}}","-\frac{(1-2 x)^{3/2}}{55 (5 x+3)}+\frac{64}{275} \sqrt{1-2 x}-\frac{64 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{25 \sqrt{55}}",1,"(64*Sqrt[1 - 2*x])/275 - (1 - 2*x)^(3/2)/(55*(3 + 5*x)) - (64*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(25*Sqrt[55])","A",4,4,22,0.1818,1,"{78, 50, 63, 206}"
1843,1,48,0,0.0087964,"\int \frac{\sqrt{1-2 x}}{(3+5 x)^2} \, dx","Int[Sqrt[1 - 2*x]/(3 + 5*x)^2,x]","\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{5 \sqrt{55}}-\frac{\sqrt{1-2 x}}{5 (5 x+3)}","\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{5 \sqrt{55}}-\frac{\sqrt{1-2 x}}{5 (5 x+3)}",1,"-Sqrt[1 - 2*x]/(5*(3 + 5*x)) + (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(5*Sqrt[55])","A",3,3,17,0.1765,1,"{47, 63, 206}"
1844,1,69,0,0.0220431,"\int \frac{\sqrt{1-2 x}}{(2+3 x) (3+5 x)^2} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)*(3 + 5*x)^2),x]","-\frac{\sqrt{1-2 x}}{5 x+3}-2 \sqrt{21} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{68 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{\sqrt{55}}","-\frac{\sqrt{1-2 x}}{5 x+3}-2 \sqrt{21} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{68 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{\sqrt{55}}",1,"-(Sqrt[1 - 2*x]/(3 + 5*x)) - 2*Sqrt[21]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] + (68*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/Sqrt[55]","A",6,4,24,0.1667,1,"{99, 156, 63, 206}"
1845,1,97,0,0.0314253,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^2 (3+5 x)^2} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^2*(3 + 5*x)^2),x]","-\frac{10 \sqrt{1-2 x}}{5 x+3}+\frac{\sqrt{1-2 x}}{(3 x+2) (5 x+3)}-138 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+134 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{10 \sqrt{1-2 x}}{5 x+3}+\frac{\sqrt{1-2 x}}{(3 x+2) (5 x+3)}-138 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+134 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-10*Sqrt[1 - 2*x])/(3 + 5*x) + Sqrt[1 - 2*x]/((2 + 3*x)*(3 + 5*x)) - 138*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] + 134*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",7,5,24,0.2083,1,"{99, 151, 156, 63, 206}"
1846,1,131,0,0.0451106,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^3 (3+5 x)^2} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^3*(3 + 5*x)^2),x]","-\frac{1045 \sqrt{1-2 x}}{14 (5 x+3)}+\frac{52 \sqrt{1-2 x}}{7 (3 x+2) (5 x+3)}+\frac{\sqrt{1-2 x}}{2 (3 x+2)^2 (5 x+3)}-\frac{7209}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+1000 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{1045 \sqrt{1-2 x}}{14 (5 x+3)}+\frac{52 \sqrt{1-2 x}}{7 (3 x+2) (5 x+3)}+\frac{\sqrt{1-2 x}}{2 (3 x+2)^2 (5 x+3)}-\frac{7209}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+1000 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-1045*Sqrt[1 - 2*x])/(14*(3 + 5*x)) + Sqrt[1 - 2*x]/(2*(2 + 3*x)^2*(3 + 5*x)) + (52*Sqrt[1 - 2*x])/(7*(2 + 3*x)*(3 + 5*x)) - (7209*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/7 + 1000*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",8,5,24,0.2083,1,"{99, 151, 156, 63, 206}"
1847,1,158,0,0.0597056,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^4 (3+5 x)^2} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^4*(3 + 5*x)^2),x]","-\frac{48645 \sqrt{1-2 x}}{98 (5 x+3)}+\frac{7261 \sqrt{1-2 x}}{147 (3 x+2) (5 x+3)}+\frac{139 \sqrt{1-2 x}}{42 (3 x+2)^2 (5 x+3)}+\frac{\sqrt{1-2 x}}{3 (3 x+2)^3 (5 x+3)}-\frac{335579}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+6650 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{48645 \sqrt{1-2 x}}{98 (5 x+3)}+\frac{7261 \sqrt{1-2 x}}{147 (3 x+2) (5 x+3)}+\frac{139 \sqrt{1-2 x}}{42 (3 x+2)^2 (5 x+3)}+\frac{\sqrt{1-2 x}}{3 (3 x+2)^3 (5 x+3)}-\frac{335579}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+6650 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-48645*Sqrt[1 - 2*x])/(98*(3 + 5*x)) + Sqrt[1 - 2*x]/(3*(2 + 3*x)^3*(3 + 5*x)) + (139*Sqrt[1 - 2*x])/(42*(2 + 3*x)^2*(3 + 5*x)) + (7261*Sqrt[1 - 2*x])/(147*(2 + 3*x)*(3 + 5*x)) - (335579*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/49 + 6650*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",9,5,24,0.2083,1,"{99, 151, 156, 63, 206}"
1848,1,120,0,0.037464,"\int \frac{\sqrt{1-2 x} (2+3 x)^4}{(3+5 x)^3} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^4)/(3 + 5*x)^3,x]","-\frac{\sqrt{1-2 x} (3 x+2)^4}{10 (5 x+3)^2}-\frac{131 \sqrt{1-2 x} (3 x+2)^3}{550 (5 x+3)}+\frac{1428 \sqrt{1-2 x} (3 x+2)^2}{6875}-\frac{21 (704-375 x) \sqrt{1-2 x}}{68750}-\frac{12803 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{34375 \sqrt{55}}","-\frac{\sqrt{1-2 x} (3 x+2)^4}{10 (5 x+3)^2}-\frac{131 \sqrt{1-2 x} (3 x+2)^3}{550 (5 x+3)}+\frac{1428 \sqrt{1-2 x} (3 x+2)^2}{6875}-\frac{21 (704-375 x) \sqrt{1-2 x}}{68750}-\frac{12803 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{34375 \sqrt{55}}",1,"(-21*(704 - 375*x)*Sqrt[1 - 2*x])/68750 + (1428*Sqrt[1 - 2*x]*(2 + 3*x)^2)/6875 - (Sqrt[1 - 2*x]*(2 + 3*x)^4)/(10*(3 + 5*x)^2) - (131*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(550*(3 + 5*x)) - (12803*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(34375*Sqrt[55])","A",6,6,24,0.2500,1,"{97, 149, 153, 147, 63, 206}"
1849,1,100,0,0.0280781,"\int \frac{\sqrt{1-2 x} (2+3 x)^3}{(3+5 x)^3} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^3)/(3 + 5*x)^3,x]","-\frac{\sqrt{1-2 x} (3 x+2)^3}{10 (5 x+3)^2}-\frac{49 \sqrt{1-2 x} (3 x+2)^2}{275 (5 x+3)}+\frac{21 \sqrt{1-2 x} (75 x+44)}{2750}-\frac{1267 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1375 \sqrt{55}}","-\frac{\sqrt{1-2 x} (3 x+2)^3}{10 (5 x+3)^2}-\frac{49 \sqrt{1-2 x} (3 x+2)^2}{275 (5 x+3)}+\frac{21 \sqrt{1-2 x} (75 x+44)}{2750}-\frac{1267 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1375 \sqrt{55}}",1,"-(Sqrt[1 - 2*x]*(2 + 3*x)^3)/(10*(3 + 5*x)^2) - (49*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(275*(3 + 5*x)) + (21*Sqrt[1 - 2*x]*(44 + 75*x))/2750 - (1267*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(1375*Sqrt[55])","A",5,5,24,0.2083,1,"{97, 149, 147, 63, 206}"
1850,1,81,0,0.0196173,"\int \frac{\sqrt{1-2 x} (2+3 x)^2}{(3+5 x)^3} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^2)/(3 + 5*x)^3,x]","-\frac{133 (1-2 x)^{3/2}}{6050 (5 x+3)}-\frac{(1-2 x)^{3/2}}{550 (5 x+3)^2}+\frac{409 \sqrt{1-2 x}}{3025}-\frac{409 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{275 \sqrt{55}}","-\frac{133 (1-2 x)^{3/2}}{6050 (5 x+3)}-\frac{(1-2 x)^{3/2}}{550 (5 x+3)^2}+\frac{409 \sqrt{1-2 x}}{3025}-\frac{409 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{275 \sqrt{55}}",1,"(409*Sqrt[1 - 2*x])/3025 - (1 - 2*x)^(3/2)/(550*(3 + 5*x)^2) - (133*(1 - 2*x)^(3/2))/(6050*(3 + 5*x)) - (409*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(275*Sqrt[55])","A",5,5,24,0.2083,1,"{89, 78, 50, 63, 206}"
1851,1,68,0,0.0142236,"\int \frac{\sqrt{1-2 x} (2+3 x)}{(3+5 x)^3} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x))/(3 + 5*x)^3,x]","-\frac{(1-2 x)^{3/2}}{110 (5 x+3)^2}-\frac{67 \sqrt{1-2 x}}{550 (5 x+3)}+\frac{67 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{275 \sqrt{55}}","-\frac{(1-2 x)^{3/2}}{110 (5 x+3)^2}-\frac{67 \sqrt{1-2 x}}{550 (5 x+3)}+\frac{67 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{275 \sqrt{55}}",1,"-(1 - 2*x)^(3/2)/(110*(3 + 5*x)^2) - (67*Sqrt[1 - 2*x])/(550*(3 + 5*x)) + (67*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(275*Sqrt[55])","A",4,4,22,0.1818,1,"{78, 47, 63, 206}"
1852,1,68,0,0.0138872,"\int \frac{\sqrt{1-2 x}}{(3+5 x)^3} \, dx","Int[Sqrt[1 - 2*x]/(3 + 5*x)^3,x]","\frac{\sqrt{1-2 x}}{110 (5 x+3)}-\frac{\sqrt{1-2 x}}{10 (5 x+3)^2}+\frac{\tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{55 \sqrt{55}}","\frac{\sqrt{1-2 x}}{110 (5 x+3)}-\frac{\sqrt{1-2 x}}{10 (5 x+3)^2}+\frac{\tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{55 \sqrt{55}}",1,"-Sqrt[1 - 2*x]/(10*(3 + 5*x)^2) + Sqrt[1 - 2*x]/(110*(3 + 5*x)) + ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]/(55*Sqrt[55])","A",4,4,17,0.2353,1,"{47, 51, 63, 206}"
1853,1,93,0,0.0343494,"\int \frac{\sqrt{1-2 x}}{(2+3 x) (3+5 x)^3} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)*(3 + 5*x)^3),x]","\frac{67 \sqrt{1-2 x}}{22 (5 x+3)}-\frac{\sqrt{1-2 x}}{2 (5 x+3)^2}+6 \sqrt{21} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{2243 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{11 \sqrt{55}}","\frac{67 \sqrt{1-2 x}}{22 (5 x+3)}-\frac{\sqrt{1-2 x}}{2 (5 x+3)^2}+6 \sqrt{21} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{2243 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{11 \sqrt{55}}",1,"-Sqrt[1 - 2*x]/(2*(3 + 5*x)^2) + (67*Sqrt[1 - 2*x])/(22*(3 + 5*x)) + 6*Sqrt[21]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] - (2243*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(11*Sqrt[55])","A",7,5,24,0.2083,1,"{99, 151, 156, 63, 206}"
1854,1,121,0,0.0412471,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^2 (3+5 x)^3} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^2*(3 + 5*x)^3),x]","\frac{995 \sqrt{1-2 x}}{22 (5 x+3)}-\frac{15 \sqrt{1-2 x}}{2 (5 x+3)^2}+\frac{\sqrt{1-2 x}}{(3 x+2) (5 x+3)^2}+624 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{6665}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{995 \sqrt{1-2 x}}{22 (5 x+3)}-\frac{15 \sqrt{1-2 x}}{2 (5 x+3)^2}+\frac{\sqrt{1-2 x}}{(3 x+2) (5 x+3)^2}+624 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{6665}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-15*Sqrt[1 - 2*x])/(2*(3 + 5*x)^2) + Sqrt[1 - 2*x]/((2 + 3*x)*(3 + 5*x)^2) + (995*Sqrt[1 - 2*x])/(22*(3 + 5*x)) + 624*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] - (6665*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/11","A",8,5,24,0.2083,1,"{99, 151, 156, 63, 206}"
1855,1,153,0,0.0595756,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^3 (3+5 x)^3} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^3*(3 + 5*x)^3),x]","\frac{34655 \sqrt{1-2 x}}{77 (5 x+3)}-\frac{1045 \sqrt{1-2 x}}{14 (5 x+3)^2}+\frac{139 \sqrt{1-2 x}}{14 (3 x+2) (5 x+3)^2}+\frac{\sqrt{1-2 x}}{2 (3 x+2)^2 (5 x+3)^2}+\frac{43467}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{66325}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{34655 \sqrt{1-2 x}}{77 (5 x+3)}-\frac{1045 \sqrt{1-2 x}}{14 (5 x+3)^2}+\frac{139 \sqrt{1-2 x}}{14 (3 x+2) (5 x+3)^2}+\frac{\sqrt{1-2 x}}{2 (3 x+2)^2 (5 x+3)^2}+\frac{43467}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{66325}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-1045*Sqrt[1 - 2*x])/(14*(3 + 5*x)^2) + Sqrt[1 - 2*x]/(2*(2 + 3*x)^2*(3 + 5*x)^2) + (139*Sqrt[1 - 2*x])/(14*(2 + 3*x)*(3 + 5*x)^2) + (34655*Sqrt[1 - 2*x])/(77*(3 + 5*x)) + (43467*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/7 - (66325*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/11","A",9,5,24,0.2083,1,"{99, 151, 156, 63, 206}"
1856,1,180,0,0.0734513,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^4 (3+5 x)^3} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^4*(3 + 5*x)^3),x]","\frac{4031135 \sqrt{1-2 x}}{1078 (5 x+3)}-\frac{182335 \sqrt{1-2 x}}{294 (5 x+3)^2}+\frac{4042 \sqrt{1-2 x}}{49 (3 x+2) (5 x+3)^2}+\frac{29 \sqrt{1-2 x}}{7 (3 x+2)^2 (5 x+3)^2}+\frac{\sqrt{1-2 x}}{3 (3 x+2)^3 (5 x+3)^2}+\frac{2528082}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{551075}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{4031135 \sqrt{1-2 x}}{1078 (5 x+3)}-\frac{182335 \sqrt{1-2 x}}{294 (5 x+3)^2}+\frac{4042 \sqrt{1-2 x}}{49 (3 x+2) (5 x+3)^2}+\frac{29 \sqrt{1-2 x}}{7 (3 x+2)^2 (5 x+3)^2}+\frac{\sqrt{1-2 x}}{3 (3 x+2)^3 (5 x+3)^2}+\frac{2528082}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{551075}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-182335*Sqrt[1 - 2*x])/(294*(3 + 5*x)^2) + Sqrt[1 - 2*x]/(3*(2 + 3*x)^3*(3 + 5*x)^2) + (29*Sqrt[1 - 2*x])/(7*(2 + 3*x)^2*(3 + 5*x)^2) + (4042*Sqrt[1 - 2*x])/(49*(2 + 3*x)*(3 + 5*x)^2) + (4031135*Sqrt[1 - 2*x])/(1078*(3 + 5*x)) + (2528082*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/49 - (551075*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/11","A",10,5,24,0.2083,1,"{99, 151, 156, 63, 206}"
1857,1,105,0,0.017916,"\int (1-2 x)^{3/2} (2+3 x)^6 (3+5 x) \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^6*(3 + 5*x),x]","\frac{3645 (1-2 x)^{19/2}}{2432}-\frac{59049 (1-2 x)^{17/2}}{2176}+\frac{136647}{640} (1-2 x)^{15/2}-\frac{1580985 (1-2 x)^{13/2}}{1664}+\frac{3658095 (1-2 x)^{11/2}}{1408}-\frac{564235}{128} (1-2 x)^{9/2}+\frac{559433}{128} (1-2 x)^{7/2}-\frac{1294139}{640} (1-2 x)^{5/2}","\frac{3645 (1-2 x)^{19/2}}{2432}-\frac{59049 (1-2 x)^{17/2}}{2176}+\frac{136647}{640} (1-2 x)^{15/2}-\frac{1580985 (1-2 x)^{13/2}}{1664}+\frac{3658095 (1-2 x)^{11/2}}{1408}-\frac{564235}{128} (1-2 x)^{9/2}+\frac{559433}{128} (1-2 x)^{7/2}-\frac{1294139}{640} (1-2 x)^{5/2}",1,"(-1294139*(1 - 2*x)^(5/2))/640 + (559433*(1 - 2*x)^(7/2))/128 - (564235*(1 - 2*x)^(9/2))/128 + (3658095*(1 - 2*x)^(11/2))/1408 - (1580985*(1 - 2*x)^(13/2))/1664 + (136647*(1 - 2*x)^(15/2))/640 - (59049*(1 - 2*x)^(17/2))/2176 + (3645*(1 - 2*x)^(19/2))/2432","A",2,1,22,0.04545,1,"{77}"
1858,1,92,0,0.0162481,"\int (1-2 x)^{3/2} (2+3 x)^5 (3+5 x) \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^5*(3 + 5*x),x]","-\frac{1215 (1-2 x)^{17/2}}{1088}+\frac{351}{20} (1-2 x)^{15/2}-\frac{97335}{832} (1-2 x)^{13/2}+\frac{37485}{88} (1-2 x)^{11/2}-\frac{173215}{192} (1-2 x)^{9/2}+\frac{8575}{8} (1-2 x)^{7/2}-\frac{184877}{320} (1-2 x)^{5/2}","-\frac{1215 (1-2 x)^{17/2}}{1088}+\frac{351}{20} (1-2 x)^{15/2}-\frac{97335}{832} (1-2 x)^{13/2}+\frac{37485}{88} (1-2 x)^{11/2}-\frac{173215}{192} (1-2 x)^{9/2}+\frac{8575}{8} (1-2 x)^{7/2}-\frac{184877}{320} (1-2 x)^{5/2}",1,"(-184877*(1 - 2*x)^(5/2))/320 + (8575*(1 - 2*x)^(7/2))/8 - (173215*(1 - 2*x)^(9/2))/192 + (37485*(1 - 2*x)^(11/2))/88 - (97335*(1 - 2*x)^(13/2))/832 + (351*(1 - 2*x)^(15/2))/20 - (1215*(1 - 2*x)^(17/2))/1088","A",2,1,22,0.04545,1,"{77}"
1859,1,79,0,0.0146236,"\int (1-2 x)^{3/2} (2+3 x)^4 (3+5 x) \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^4*(3 + 5*x),x]","\frac{27}{32} (1-2 x)^{15/2}-\frac{4671}{416} (1-2 x)^{13/2}+\frac{10773}{176} (1-2 x)^{11/2}-\frac{8281}{48} (1-2 x)^{9/2}+\frac{8183}{32} (1-2 x)^{7/2}-\frac{26411}{160} (1-2 x)^{5/2}","\frac{27}{32} (1-2 x)^{15/2}-\frac{4671}{416} (1-2 x)^{13/2}+\frac{10773}{176} (1-2 x)^{11/2}-\frac{8281}{48} (1-2 x)^{9/2}+\frac{8183}{32} (1-2 x)^{7/2}-\frac{26411}{160} (1-2 x)^{5/2}",1,"(-26411*(1 - 2*x)^(5/2))/160 + (8183*(1 - 2*x)^(7/2))/32 - (8281*(1 - 2*x)^(9/2))/48 + (10773*(1 - 2*x)^(11/2))/176 - (4671*(1 - 2*x)^(13/2))/416 + (27*(1 - 2*x)^(15/2))/32","A",2,1,22,0.04545,1,"{77}"
1860,1,66,0,0.0117495,"\int (1-2 x)^{3/2} (2+3 x)^3 (3+5 x) \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^3*(3 + 5*x),x]","-\frac{135}{208} (1-2 x)^{13/2}+\frac{621}{88} (1-2 x)^{11/2}-\frac{119}{4} (1-2 x)^{9/2}+\frac{469}{8} (1-2 x)^{7/2}-\frac{3773}{80} (1-2 x)^{5/2}","-\frac{135}{208} (1-2 x)^{13/2}+\frac{621}{88} (1-2 x)^{11/2}-\frac{119}{4} (1-2 x)^{9/2}+\frac{469}{8} (1-2 x)^{7/2}-\frac{3773}{80} (1-2 x)^{5/2}",1,"(-3773*(1 - 2*x)^(5/2))/80 + (469*(1 - 2*x)^(7/2))/8 - (119*(1 - 2*x)^(9/2))/4 + (621*(1 - 2*x)^(11/2))/88 - (135*(1 - 2*x)^(13/2))/208","A",2,1,22,0.04545,1,"{77}"
1861,1,53,0,0.0099535,"\int (1-2 x)^{3/2} (2+3 x)^2 (3+5 x) \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x),x]","\frac{45}{88} (1-2 x)^{11/2}-\frac{103}{24} (1-2 x)^{9/2}+\frac{101}{8} (1-2 x)^{7/2}-\frac{539}{40} (1-2 x)^{5/2}","\frac{45}{88} (1-2 x)^{11/2}-\frac{103}{24} (1-2 x)^{9/2}+\frac{101}{8} (1-2 x)^{7/2}-\frac{539}{40} (1-2 x)^{5/2}",1,"(-539*(1 - 2*x)^(5/2))/40 + (101*(1 - 2*x)^(7/2))/8 - (103*(1 - 2*x)^(9/2))/24 + (45*(1 - 2*x)^(11/2))/88","A",2,1,22,0.04545,1,"{77}"
1862,1,40,0,0.0081724,"\int (1-2 x)^{3/2} (2+3 x) (3+5 x) \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x),x]","-\frac{5}{12} (1-2 x)^{9/2}+\frac{17}{7} (1-2 x)^{7/2}-\frac{77}{20} (1-2 x)^{5/2}","-\frac{5}{12} (1-2 x)^{9/2}+\frac{17}{7} (1-2 x)^{7/2}-\frac{77}{20} (1-2 x)^{5/2}",1,"(-77*(1 - 2*x)^(5/2))/20 + (17*(1 - 2*x)^(7/2))/7 - (5*(1 - 2*x)^(9/2))/12","A",2,1,20,0.05000,1,"{77}"
1863,1,27,0,0.0051879,"\int (1-2 x)^{3/2} (3+5 x) \, dx","Int[(1 - 2*x)^(3/2)*(3 + 5*x),x]","\frac{5}{14} (1-2 x)^{7/2}-\frac{11}{10} (1-2 x)^{5/2}","\frac{5}{14} (1-2 x)^{7/2}-\frac{11}{10} (1-2 x)^{5/2}",1,"(-11*(1 - 2*x)^(5/2))/10 + (5*(1 - 2*x)^(7/2))/14","A",2,1,15,0.06667,1,"{43}"
1864,1,69,0,0.0186708,"\int \frac{(1-2 x)^{3/2} (3+5 x)}{2+3 x} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x))/(2 + 3*x),x]","-\frac{1}{3} (1-2 x)^{5/2}-\frac{2}{27} (1-2 x)^{3/2}-\frac{14}{27} \sqrt{1-2 x}+\frac{14}{27} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","-\frac{1}{3} (1-2 x)^{5/2}-\frac{2}{27} (1-2 x)^{3/2}-\frac{14}{27} \sqrt{1-2 x}+\frac{14}{27} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(-14*Sqrt[1 - 2*x])/27 - (2*(1 - 2*x)^(3/2))/27 - (1 - 2*x)^(5/2)/3 + (14*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/27","A",5,4,22,0.1818,1,"{80, 50, 63, 206}"
1865,1,76,0,0.018972,"\int \frac{(1-2 x)^{3/2} (3+5 x)}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x))/(2 + 3*x)^2,x]","\frac{(1-2 x)^{5/2}}{21 (3 x+2)}+\frac{76}{189} (1-2 x)^{3/2}+\frac{76}{27} \sqrt{1-2 x}-\frac{76}{27} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","\frac{(1-2 x)^{5/2}}{21 (3 x+2)}+\frac{76}{189} (1-2 x)^{3/2}+\frac{76}{27} \sqrt{1-2 x}-\frac{76}{27} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(76*Sqrt[1 - 2*x])/27 + (76*(1 - 2*x)^(3/2))/189 + (1 - 2*x)^(5/2)/(21*(2 + 3*x)) - (76*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/27","A",5,4,22,0.1818,1,"{78, 50, 63, 206}"
1866,1,81,0,0.0173287,"\int \frac{(1-2 x)^{3/2} (3+5 x)}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x))/(2 + 3*x)^3,x]","\frac{(1-2 x)^{5/2}}{42 (3 x+2)^2}-\frac{71 (1-2 x)^{3/2}}{126 (3 x+2)}-\frac{71}{63} \sqrt{1-2 x}+\frac{71 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9 \sqrt{21}}","\frac{(1-2 x)^{5/2}}{42 (3 x+2)^2}-\frac{71 (1-2 x)^{3/2}}{126 (3 x+2)}-\frac{71}{63} \sqrt{1-2 x}+\frac{71 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9 \sqrt{21}}",1,"(-71*Sqrt[1 - 2*x])/63 + (1 - 2*x)^(5/2)/(42*(2 + 3*x)^2) - (71*(1 - 2*x)^(3/2))/(126*(2 + 3*x)) + (71*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(9*Sqrt[21])","A",5,5,22,0.2273,1,"{78, 47, 50, 63, 206}"
1867,1,88,0,0.0220452,"\int \frac{(1-2 x)^{3/2} (3+5 x)}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x))/(2 + 3*x)^4,x]","\frac{(1-2 x)^{5/2}}{63 (3 x+2)^3}-\frac{52 (1-2 x)^{3/2}}{189 (3 x+2)^2}+\frac{52 \sqrt{1-2 x}}{189 (3 x+2)}-\frac{104 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{189 \sqrt{21}}","\frac{(1-2 x)^{5/2}}{63 (3 x+2)^3}-\frac{52 (1-2 x)^{3/2}}{189 (3 x+2)^2}+\frac{52 \sqrt{1-2 x}}{189 (3 x+2)}-\frac{104 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{189 \sqrt{21}}",1,"(1 - 2*x)^(5/2)/(63*(2 + 3*x)^3) - (52*(1 - 2*x)^(3/2))/(189*(2 + 3*x)^2) + (52*Sqrt[1 - 2*x])/(189*(2 + 3*x)) - (104*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(189*Sqrt[21])","A",5,4,22,0.1818,1,"{78, 47, 63, 206}"
1868,1,108,0,0.0278284,"\int \frac{(1-2 x)^{3/2} (3+5 x)}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x))/(2 + 3*x)^5,x]","\frac{(1-2 x)^{5/2}}{84 (3 x+2)^4}-\frac{137 (1-2 x)^{3/2}}{756 (3 x+2)^3}-\frac{137 \sqrt{1-2 x}}{10584 (3 x+2)}+\frac{137 \sqrt{1-2 x}}{1512 (3 x+2)^2}-\frac{137 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{5292 \sqrt{21}}","\frac{(1-2 x)^{5/2}}{84 (3 x+2)^4}-\frac{137 (1-2 x)^{3/2}}{756 (3 x+2)^3}-\frac{137 \sqrt{1-2 x}}{10584 (3 x+2)}+\frac{137 \sqrt{1-2 x}}{1512 (3 x+2)^2}-\frac{137 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{5292 \sqrt{21}}",1,"(1 - 2*x)^(5/2)/(84*(2 + 3*x)^4) - (137*(1 - 2*x)^(3/2))/(756*(2 + 3*x)^3) + (137*Sqrt[1 - 2*x])/(1512*(2 + 3*x)^2) - (137*Sqrt[1 - 2*x])/(10584*(2 + 3*x)) - (137*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(5292*Sqrt[21])","A",6,5,22,0.2273,1,"{78, 47, 51, 63, 206}"
1869,1,128,0,0.0367996,"\int \frac{(1-2 x)^{3/2} (3+5 x)}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x))/(2 + 3*x)^6,x]","\frac{(1-2 x)^{5/2}}{105 (3 x+2)^5}-\frac{17 (1-2 x)^{3/2}}{126 (3 x+2)^4}-\frac{17 \sqrt{1-2 x}}{12348 (3 x+2)}-\frac{17 \sqrt{1-2 x}}{5292 (3 x+2)^2}+\frac{17 \sqrt{1-2 x}}{378 (3 x+2)^3}-\frac{17 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{6174 \sqrt{21}}","\frac{(1-2 x)^{5/2}}{105 (3 x+2)^5}-\frac{17 (1-2 x)^{3/2}}{126 (3 x+2)^4}-\frac{17 \sqrt{1-2 x}}{12348 (3 x+2)}-\frac{17 \sqrt{1-2 x}}{5292 (3 x+2)^2}+\frac{17 \sqrt{1-2 x}}{378 (3 x+2)^3}-\frac{17 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{6174 \sqrt{21}}",1,"(1 - 2*x)^(5/2)/(105*(2 + 3*x)^5) - (17*(1 - 2*x)^(3/2))/(126*(2 + 3*x)^4) + (17*Sqrt[1 - 2*x])/(378*(2 + 3*x)^3) - (17*Sqrt[1 - 2*x])/(5292*(2 + 3*x)^2) - (17*Sqrt[1 - 2*x])/(12348*(2 + 3*x)) - (17*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(6174*Sqrt[21])","A",7,5,22,0.2273,1,"{78, 47, 51, 63, 206}"
1870,1,92,0,0.0175019,"\int (1-2 x)^{3/2} (2+3 x)^4 (3+5 x)^2 \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^4*(3 + 5*x)^2,x]","-\frac{2025 (1-2 x)^{17/2}}{1088}+\frac{927}{32} (1-2 x)^{15/2}-\frac{159111}{832} (1-2 x)^{13/2}+\frac{121359}{176} (1-2 x)^{11/2}-\frac{832951}{576} (1-2 x)^{9/2}+\frac{54439}{32} (1-2 x)^{7/2}-\frac{290521}{320} (1-2 x)^{5/2}","-\frac{2025 (1-2 x)^{17/2}}{1088}+\frac{927}{32} (1-2 x)^{15/2}-\frac{159111}{832} (1-2 x)^{13/2}+\frac{121359}{176} (1-2 x)^{11/2}-\frac{832951}{576} (1-2 x)^{9/2}+\frac{54439}{32} (1-2 x)^{7/2}-\frac{290521}{320} (1-2 x)^{5/2}",1,"(-290521*(1 - 2*x)^(5/2))/320 + (54439*(1 - 2*x)^(7/2))/32 - (832951*(1 - 2*x)^(9/2))/576 + (121359*(1 - 2*x)^(11/2))/176 - (159111*(1 - 2*x)^(13/2))/832 + (927*(1 - 2*x)^(15/2))/32 - (2025*(1 - 2*x)^(17/2))/1088","A",2,1,24,0.04167,1,"{88}"
1871,1,79,0,0.0149522,"\int (1-2 x)^{3/2} (2+3 x)^3 (3+5 x)^2 \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^3*(3 + 5*x)^2,x]","\frac{45}{32} (1-2 x)^{15/2}-\frac{7695}{416} (1-2 x)^{13/2}+\frac{17541}{176} (1-2 x)^{11/2}-\frac{39977}{144} (1-2 x)^{9/2}+\frac{13013}{32} (1-2 x)^{7/2}-\frac{41503}{160} (1-2 x)^{5/2}","\frac{45}{32} (1-2 x)^{15/2}-\frac{7695}{416} (1-2 x)^{13/2}+\frac{17541}{176} (1-2 x)^{11/2}-\frac{39977}{144} (1-2 x)^{9/2}+\frac{13013}{32} (1-2 x)^{7/2}-\frac{41503}{160} (1-2 x)^{5/2}",1,"(-41503*(1 - 2*x)^(5/2))/160 + (13013*(1 - 2*x)^(7/2))/32 - (39977*(1 - 2*x)^(9/2))/144 + (17541*(1 - 2*x)^(11/2))/176 - (7695*(1 - 2*x)^(13/2))/416 + (45*(1 - 2*x)^(15/2))/32","A",2,1,24,0.04167,1,"{88}"
1872,1,66,0,0.013116,"\int (1-2 x)^{3/2} (2+3 x)^2 (3+5 x)^2 \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^2,x]","-\frac{225}{208} (1-2 x)^{13/2}+\frac{255}{22} (1-2 x)^{11/2}-\frac{3467}{72} (1-2 x)^{9/2}+\frac{187}{2} (1-2 x)^{7/2}-\frac{5929}{80} (1-2 x)^{5/2}","-\frac{225}{208} (1-2 x)^{13/2}+\frac{255}{22} (1-2 x)^{11/2}-\frac{3467}{72} (1-2 x)^{9/2}+\frac{187}{2} (1-2 x)^{7/2}-\frac{5929}{80} (1-2 x)^{5/2}",1,"(-5929*(1 - 2*x)^(5/2))/80 + (187*(1 - 2*x)^(7/2))/2 - (3467*(1 - 2*x)^(9/2))/72 + (255*(1 - 2*x)^(11/2))/22 - (225*(1 - 2*x)^(13/2))/208","A",2,1,24,0.04167,1,"{88}"
1873,1,53,0,0.0110615,"\int (1-2 x)^{3/2} (2+3 x) (3+5 x)^2 \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^2,x]","\frac{75}{88} (1-2 x)^{11/2}-\frac{505}{72} (1-2 x)^{9/2}+\frac{1133}{56} (1-2 x)^{7/2}-\frac{847}{40} (1-2 x)^{5/2}","\frac{75}{88} (1-2 x)^{11/2}-\frac{505}{72} (1-2 x)^{9/2}+\frac{1133}{56} (1-2 x)^{7/2}-\frac{847}{40} (1-2 x)^{5/2}",1,"(-847*(1 - 2*x)^(5/2))/40 + (1133*(1 - 2*x)^(7/2))/56 - (505*(1 - 2*x)^(9/2))/72 + (75*(1 - 2*x)^(11/2))/88","A",2,1,22,0.04545,1,"{77}"
1874,1,40,0,0.0073321,"\int (1-2 x)^{3/2} (3+5 x)^2 \, dx","Int[(1 - 2*x)^(3/2)*(3 + 5*x)^2,x]","-\frac{25}{36} (1-2 x)^{9/2}+\frac{55}{14} (1-2 x)^{7/2}-\frac{121}{20} (1-2 x)^{5/2}","-\frac{25}{36} (1-2 x)^{9/2}+\frac{55}{14} (1-2 x)^{7/2}-\frac{121}{20} (1-2 x)^{5/2}",1,"(-121*(1 - 2*x)^(5/2))/20 + (55*(1 - 2*x)^(7/2))/14 - (25*(1 - 2*x)^(9/2))/36","A",2,1,17,0.05882,1,"{43}"
1875,1,82,0,0.0287284,"\int \frac{(1-2 x)^{3/2} (3+5 x)^2}{2+3 x} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^2)/(2 + 3*x),x]","\frac{25}{42} (1-2 x)^{7/2}-\frac{31}{18} (1-2 x)^{5/2}+\frac{2}{81} (1-2 x)^{3/2}+\frac{14}{81} \sqrt{1-2 x}-\frac{14}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","\frac{25}{42} (1-2 x)^{7/2}-\frac{31}{18} (1-2 x)^{5/2}+\frac{2}{81} (1-2 x)^{3/2}+\frac{14}{81} \sqrt{1-2 x}-\frac{14}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(14*Sqrt[1 - 2*x])/81 + (2*(1 - 2*x)^(3/2))/81 - (31*(1 - 2*x)^(5/2))/18 + (25*(1 - 2*x)^(7/2))/42 - (14*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/81","A",6,4,24,0.1667,1,"{88, 50, 63, 206}"
1876,1,89,0,0.0245972,"\int \frac{(1-2 x)^{3/2} (3+5 x)^2}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^2)/(2 + 3*x)^2,x]","-\frac{(1-2 x)^{5/2}}{63 (3 x+2)}-\frac{5}{9} (1-2 x)^{5/2}-\frac{146}{567} (1-2 x)^{3/2}-\frac{146}{81} \sqrt{1-2 x}+\frac{146}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","-\frac{(1-2 x)^{5/2}}{63 (3 x+2)}-\frac{5}{9} (1-2 x)^{5/2}-\frac{146}{567} (1-2 x)^{3/2}-\frac{146}{81} \sqrt{1-2 x}+\frac{146}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(-146*Sqrt[1 - 2*x])/81 - (146*(1 - 2*x)^(3/2))/567 - (5*(1 - 2*x)^(5/2))/9 - (1 - 2*x)^(5/2)/(63*(2 + 3*x)) + (146*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/81","A",6,5,24,0.2083,1,"{89, 80, 50, 63, 206}"
1877,1,94,0,0.0252962,"\int \frac{(1-2 x)^{3/2} (3+5 x)^2}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^2)/(2 + 3*x)^3,x]","\frac{47 (1-2 x)^{5/2}}{294 (3 x+2)}-\frac{(1-2 x)^{5/2}}{126 (3 x+2)^2}+\frac{2873 (1-2 x)^{3/2}}{3969}+\frac{2873}{567} \sqrt{1-2 x}-\frac{2873 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{81 \sqrt{21}}","\frac{47 (1-2 x)^{5/2}}{294 (3 x+2)}-\frac{(1-2 x)^{5/2}}{126 (3 x+2)^2}+\frac{2873 (1-2 x)^{3/2}}{3969}+\frac{2873}{567} \sqrt{1-2 x}-\frac{2873 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{81 \sqrt{21}}",1,"(2873*Sqrt[1 - 2*x])/567 + (2873*(1 - 2*x)^(3/2))/3969 - (1 - 2*x)^(5/2)/(126*(2 + 3*x)^2) + (47*(1 - 2*x)^(5/2))/(294*(2 + 3*x)) - (2873*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(81*Sqrt[21])","A",6,5,24,0.2083,1,"{89, 78, 50, 63, 206}"
1878,1,101,0,0.0247126,"\int \frac{(1-2 x)^{3/2} (3+5 x)^2}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^2)/(2 + 3*x)^4,x]","\frac{209 (1-2 x)^{5/2}}{2646 (3 x+2)^2}-\frac{(1-2 x)^{5/2}}{189 (3 x+2)^3}-\frac{7559 (1-2 x)^{3/2}}{7938 (3 x+2)}-\frac{7559 \sqrt{1-2 x}}{3969}+\frac{7559 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{567 \sqrt{21}}","\frac{209 (1-2 x)^{5/2}}{2646 (3 x+2)^2}-\frac{(1-2 x)^{5/2}}{189 (3 x+2)^3}-\frac{7559 (1-2 x)^{3/2}}{7938 (3 x+2)}-\frac{7559 \sqrt{1-2 x}}{3969}+\frac{7559 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{567 \sqrt{21}}",1,"(-7559*Sqrt[1 - 2*x])/3969 - (1 - 2*x)^(5/2)/(189*(2 + 3*x)^3) + (209*(1 - 2*x)^(5/2))/(2646*(2 + 3*x)^2) - (7559*(1 - 2*x)^(3/2))/(7938*(2 + 3*x)) + (7559*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(567*Sqrt[21])","A",6,6,24,0.2500,1,"{89, 78, 47, 50, 63, 206}"
1879,1,108,0,0.0299983,"\int \frac{(1-2 x)^{3/2} (3+5 x)^2}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^2)/(2 + 3*x)^5,x]","\frac{277 (1-2 x)^{5/2}}{5292 (3 x+2)^3}-\frac{(1-2 x)^{5/2}}{252 (3 x+2)^4}-\frac{14423 (1-2 x)^{3/2}}{31752 (3 x+2)^2}+\frac{14423 \sqrt{1-2 x}}{31752 (3 x+2)}-\frac{14423 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{15876 \sqrt{21}}","\frac{277 (1-2 x)^{5/2}}{5292 (3 x+2)^3}-\frac{(1-2 x)^{5/2}}{252 (3 x+2)^4}-\frac{14423 (1-2 x)^{3/2}}{31752 (3 x+2)^2}+\frac{14423 \sqrt{1-2 x}}{31752 (3 x+2)}-\frac{14423 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{15876 \sqrt{21}}",1,"-(1 - 2*x)^(5/2)/(252*(2 + 3*x)^4) + (277*(1 - 2*x)^(5/2))/(5292*(2 + 3*x)^3) - (14423*(1 - 2*x)^(3/2))/(31752*(2 + 3*x)^2) + (14423*Sqrt[1 - 2*x])/(31752*(2 + 3*x)) - (14423*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(15876*Sqrt[21])","A",6,5,24,0.2083,1,"{89, 78, 47, 63, 206}"
1880,1,128,0,0.0384327,"\int \frac{(1-2 x)^{3/2} (3+5 x)^2}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^2)/(2 + 3*x)^6,x]","\frac{23 (1-2 x)^{5/2}}{588 (3 x+2)^4}-\frac{(1-2 x)^{5/2}}{315 (3 x+2)^5}-\frac{4693 (1-2 x)^{3/2}}{15876 (3 x+2)^3}-\frac{4693 \sqrt{1-2 x}}{222264 (3 x+2)}+\frac{4693 \sqrt{1-2 x}}{31752 (3 x+2)^2}-\frac{4693 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{111132 \sqrt{21}}","\frac{23 (1-2 x)^{5/2}}{588 (3 x+2)^4}-\frac{(1-2 x)^{5/2}}{315 (3 x+2)^5}-\frac{4693 (1-2 x)^{3/2}}{15876 (3 x+2)^3}-\frac{4693 \sqrt{1-2 x}}{222264 (3 x+2)}+\frac{4693 \sqrt{1-2 x}}{31752 (3 x+2)^2}-\frac{4693 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{111132 \sqrt{21}}",1,"-(1 - 2*x)^(5/2)/(315*(2 + 3*x)^5) + (23*(1 - 2*x)^(5/2))/(588*(2 + 3*x)^4) - (4693*(1 - 2*x)^(3/2))/(15876*(2 + 3*x)^3) + (4693*Sqrt[1 - 2*x])/(31752*(2 + 3*x)^2) - (4693*Sqrt[1 - 2*x])/(222264*(2 + 3*x)) - (4693*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(111132*Sqrt[21])","A",7,6,24,0.2500,1,"{89, 78, 47, 51, 63, 206}"
1881,1,148,0,0.0475829,"\int \frac{(1-2 x)^{3/2} (3+5 x)^2}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^2)/(2 + 3*x)^7,x]","\frac{59 (1-2 x)^{5/2}}{1890 (3 x+2)^5}-\frac{(1-2 x)^{5/2}}{378 (3 x+2)^6}-\frac{991 (1-2 x)^{3/2}}{4536 (3 x+2)^4}-\frac{991 \sqrt{1-2 x}}{444528 (3 x+2)}-\frac{991 \sqrt{1-2 x}}{190512 (3 x+2)^2}+\frac{991 \sqrt{1-2 x}}{13608 (3 x+2)^3}-\frac{991 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{222264 \sqrt{21}}","\frac{59 (1-2 x)^{5/2}}{1890 (3 x+2)^5}-\frac{(1-2 x)^{5/2}}{378 (3 x+2)^6}-\frac{991 (1-2 x)^{3/2}}{4536 (3 x+2)^4}-\frac{991 \sqrt{1-2 x}}{444528 (3 x+2)}-\frac{991 \sqrt{1-2 x}}{190512 (3 x+2)^2}+\frac{991 \sqrt{1-2 x}}{13608 (3 x+2)^3}-\frac{991 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{222264 \sqrt{21}}",1,"-(1 - 2*x)^(5/2)/(378*(2 + 3*x)^6) + (59*(1 - 2*x)^(5/2))/(1890*(2 + 3*x)^5) - (991*(1 - 2*x)^(3/2))/(4536*(2 + 3*x)^4) + (991*Sqrt[1 - 2*x])/(13608*(2 + 3*x)^3) - (991*Sqrt[1 - 2*x])/(190512*(2 + 3*x)^2) - (991*Sqrt[1 - 2*x])/(444528*(2 + 3*x)) - (991*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(222264*Sqrt[21])","A",8,6,24,0.2500,1,"{89, 78, 47, 51, 63, 206}"
1882,1,105,0,0.019335,"\int (1-2 x)^{3/2} (2+3 x)^4 (3+5 x)^3 \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^4*(3 + 5*x)^3,x]","\frac{10125 (1-2 x)^{19/2}}{2432}-\frac{161325 (1-2 x)^{17/2}}{2176}+\frac{73431}{128} (1-2 x)^{15/2}-\frac{4177401 (1-2 x)^{13/2}}{1664}+\frac{9504551 (1-2 x)^{11/2}}{1408}-\frac{4324397}{384} (1-2 x)^{9/2}+\frac{1405173}{128} (1-2 x)^{7/2}-\frac{3195731}{640} (1-2 x)^{5/2}","\frac{10125 (1-2 x)^{19/2}}{2432}-\frac{161325 (1-2 x)^{17/2}}{2176}+\frac{73431}{128} (1-2 x)^{15/2}-\frac{4177401 (1-2 x)^{13/2}}{1664}+\frac{9504551 (1-2 x)^{11/2}}{1408}-\frac{4324397}{384} (1-2 x)^{9/2}+\frac{1405173}{128} (1-2 x)^{7/2}-\frac{3195731}{640} (1-2 x)^{5/2}",1,"(-3195731*(1 - 2*x)^(5/2))/640 + (1405173*(1 - 2*x)^(7/2))/128 - (4324397*(1 - 2*x)^(9/2))/384 + (9504551*(1 - 2*x)^(11/2))/1408 - (4177401*(1 - 2*x)^(13/2))/1664 + (73431*(1 - 2*x)^(15/2))/128 - (161325*(1 - 2*x)^(17/2))/2176 + (10125*(1 - 2*x)^(19/2))/2432","A",2,1,24,0.04167,1,"{88}"
1883,1,92,0,0.0164627,"\int (1-2 x)^{3/2} (2+3 x)^3 (3+5 x)^3 \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^3*(3 + 5*x)^3,x]","-\frac{3375 (1-2 x)^{17/2}}{1088}+\frac{765}{16} (1-2 x)^{15/2}-\frac{260055}{832} (1-2 x)^{13/2}+\frac{98209}{88} (1-2 x)^{11/2}-\frac{444983}{192} (1-2 x)^{9/2}+\frac{43197}{16} (1-2 x)^{7/2}-\frac{456533}{320} (1-2 x)^{5/2}","-\frac{3375 (1-2 x)^{17/2}}{1088}+\frac{765}{16} (1-2 x)^{15/2}-\frac{260055}{832} (1-2 x)^{13/2}+\frac{98209}{88} (1-2 x)^{11/2}-\frac{444983}{192} (1-2 x)^{9/2}+\frac{43197}{16} (1-2 x)^{7/2}-\frac{456533}{320} (1-2 x)^{5/2}",1,"(-456533*(1 - 2*x)^(5/2))/320 + (43197*(1 - 2*x)^(7/2))/16 - (444983*(1 - 2*x)^(9/2))/192 + (98209*(1 - 2*x)^(11/2))/88 - (260055*(1 - 2*x)^(13/2))/832 + (765*(1 - 2*x)^(15/2))/16 - (3375*(1 - 2*x)^(17/2))/1088","A",2,1,24,0.04167,1,"{88}"
1884,1,79,0,0.0153488,"\int (1-2 x)^{3/2} (2+3 x)^2 (3+5 x)^3 \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^3,x]","\frac{75}{32} (1-2 x)^{15/2}-\frac{975}{32} (1-2 x)^{13/2}+\frac{28555}{176} (1-2 x)^{11/2}-\frac{21439}{48} (1-2 x)^{9/2}+\frac{20691}{32} (1-2 x)^{7/2}-\frac{65219}{160} (1-2 x)^{5/2}","\frac{75}{32} (1-2 x)^{15/2}-\frac{975}{32} (1-2 x)^{13/2}+\frac{28555}{176} (1-2 x)^{11/2}-\frac{21439}{48} (1-2 x)^{9/2}+\frac{20691}{32} (1-2 x)^{7/2}-\frac{65219}{160} (1-2 x)^{5/2}",1,"(-65219*(1 - 2*x)^(5/2))/160 + (20691*(1 - 2*x)^(7/2))/32 - (21439*(1 - 2*x)^(9/2))/48 + (28555*(1 - 2*x)^(11/2))/176 - (975*(1 - 2*x)^(13/2))/32 + (75*(1 - 2*x)^(15/2))/32","A",2,1,24,0.04167,1,"{88}"
1885,1,66,0,0.0116072,"\int (1-2 x)^{3/2} (2+3 x) (3+5 x)^3 \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^3,x]","-\frac{375}{208} (1-2 x)^{13/2}+\frac{1675}{88} (1-2 x)^{11/2}-\frac{935}{12} (1-2 x)^{9/2}+\frac{8349}{56} (1-2 x)^{7/2}-\frac{9317}{80} (1-2 x)^{5/2}","-\frac{375}{208} (1-2 x)^{13/2}+\frac{1675}{88} (1-2 x)^{11/2}-\frac{935}{12} (1-2 x)^{9/2}+\frac{8349}{56} (1-2 x)^{7/2}-\frac{9317}{80} (1-2 x)^{5/2}",1,"(-9317*(1 - 2*x)^(5/2))/80 + (8349*(1 - 2*x)^(7/2))/56 - (935*(1 - 2*x)^(9/2))/12 + (1675*(1 - 2*x)^(11/2))/88 - (375*(1 - 2*x)^(13/2))/208","A",2,1,22,0.04545,1,"{77}"
1886,1,53,0,0.0088765,"\int (1-2 x)^{3/2} (3+5 x)^3 \, dx","Int[(1 - 2*x)^(3/2)*(3 + 5*x)^3,x]","\frac{125}{88} (1-2 x)^{11/2}-\frac{275}{24} (1-2 x)^{9/2}+\frac{1815}{56} (1-2 x)^{7/2}-\frac{1331}{40} (1-2 x)^{5/2}","\frac{125}{88} (1-2 x)^{11/2}-\frac{275}{24} (1-2 x)^{9/2}+\frac{1815}{56} (1-2 x)^{7/2}-\frac{1331}{40} (1-2 x)^{5/2}",1,"(-1331*(1 - 2*x)^(5/2))/40 + (1815*(1 - 2*x)^(7/2))/56 - (275*(1 - 2*x)^(9/2))/24 + (125*(1 - 2*x)^(11/2))/88","A",2,1,17,0.05882,1,"{43}"
1887,1,95,0,0.0308338,"\int \frac{(1-2 x)^{3/2} (3+5 x)^3}{2+3 x} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(2 + 3*x),x]","-\frac{125}{108} (1-2 x)^{9/2}+\frac{400}{63} (1-2 x)^{7/2}-\frac{1027}{108} (1-2 x)^{5/2}-\frac{2}{243} (1-2 x)^{3/2}-\frac{14}{243} \sqrt{1-2 x}+\frac{14}{243} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","-\frac{125}{108} (1-2 x)^{9/2}+\frac{400}{63} (1-2 x)^{7/2}-\frac{1027}{108} (1-2 x)^{5/2}-\frac{2}{243} (1-2 x)^{3/2}-\frac{14}{243} \sqrt{1-2 x}+\frac{14}{243} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(-14*Sqrt[1 - 2*x])/243 - (2*(1 - 2*x)^(3/2))/243 - (1027*(1 - 2*x)^(5/2))/108 + (400*(1 - 2*x)^(7/2))/63 - (125*(1 - 2*x)^(9/2))/108 + (14*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/243","A",6,4,24,0.1667,1,"{88, 50, 63, 206}"
1888,1,108,0,0.0320163,"\int \frac{(1-2 x)^{3/2} (3+5 x)^3}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(2 + 3*x)^2,x]","-\frac{(1-2 x)^{3/2} (5 x+3)^3}{3 (3 x+2)}+\frac{5}{7} (1-2 x)^{3/2} (5 x+3)^2-\frac{10}{63} (1-2 x)^{3/2} (27 x+22)+\frac{8}{9} \sqrt{1-2 x}-\frac{8}{9} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","-\frac{(1-2 x)^{3/2} (5 x+3)^3}{3 (3 x+2)}+\frac{5}{7} (1-2 x)^{3/2} (5 x+3)^2-\frac{10}{63} (1-2 x)^{3/2} (27 x+22)+\frac{8}{9} \sqrt{1-2 x}-\frac{8}{9} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(8*Sqrt[1 - 2*x])/9 + (5*(1 - 2*x)^(3/2)*(3 + 5*x)^2)/7 - ((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(3*(2 + 3*x)) - (10*(1 - 2*x)^(3/2)*(22 + 27*x))/63 - (8*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/9","A",6,6,24,0.2500,1,"{97, 153, 147, 50, 63, 206}"
1889,1,118,0,0.0397846,"\int \frac{(1-2 x)^{3/2} (3+5 x)^3}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(2 + 3*x)^3,x]","\frac{6 \sqrt{1-2 x} (5 x+3)^3}{3 x+2}-\frac{(1-2 x)^{3/2} (5 x+3)^3}{6 (3 x+2)^2}-\frac{31}{3} \sqrt{1-2 x} (5 x+3)^2+\frac{1}{54} \sqrt{1-2 x} (1715 x+367)+\frac{887 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{27 \sqrt{21}}","\frac{6 \sqrt{1-2 x} (5 x+3)^3}{3 x+2}-\frac{(1-2 x)^{3/2} (5 x+3)^3}{6 (3 x+2)^2}-\frac{31}{3} \sqrt{1-2 x} (5 x+3)^2+\frac{1}{54} \sqrt{1-2 x} (1715 x+367)+\frac{887 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{27 \sqrt{21}}",1,"(-31*Sqrt[1 - 2*x]*(3 + 5*x)^2)/3 - ((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(6*(2 + 3*x)^2) + (6*Sqrt[1 - 2*x]*(3 + 5*x)^3)/(2 + 3*x) + (Sqrt[1 - 2*x]*(367 + 1715*x))/54 + (887*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(27*Sqrt[21])","A",6,6,24,0.2500,1,"{97, 149, 153, 147, 63, 206}"
1890,1,125,0,0.0394717,"\int \frac{(1-2 x)^{3/2} (3+5 x)^3}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(2 + 3*x)^4,x]","\frac{2 \sqrt{1-2 x} (5 x+3)^3}{(3 x+2)^2}-\frac{(1-2 x)^{3/2} (5 x+3)^3}{9 (3 x+2)^3}+\frac{251 \sqrt{1-2 x} (5 x+3)^2}{63 (3 x+2)}-\frac{5}{567} \sqrt{1-2 x} (7265 x+2323)-\frac{36038 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{567 \sqrt{21}}","\frac{2 \sqrt{1-2 x} (5 x+3)^3}{(3 x+2)^2}-\frac{(1-2 x)^{3/2} (5 x+3)^3}{9 (3 x+2)^3}+\frac{251 \sqrt{1-2 x} (5 x+3)^2}{63 (3 x+2)}-\frac{5}{567} \sqrt{1-2 x} (7265 x+2323)-\frac{36038 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{567 \sqrt{21}}",1,"(251*Sqrt[1 - 2*x]*(3 + 5*x)^2)/(63*(2 + 3*x)) - ((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(9*(2 + 3*x)^3) + (2*Sqrt[1 - 2*x]*(3 + 5*x)^3)/(2 + 3*x)^2 - (5*Sqrt[1 - 2*x]*(2323 + 7265*x))/567 - (36038*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(567*Sqrt[21])","A",6,5,24,0.2083,1,"{97, 149, 147, 63, 206}"
1891,1,131,0,0.0403063,"\int \frac{(1-2 x)^{3/2} (3+5 x)^3}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(2 + 3*x)^5,x]","\frac{\sqrt{1-2 x} (5 x+3)^3}{(3 x+2)^3}-\frac{(1-2 x)^{3/2} (5 x+3)^3}{12 (3 x+2)^4}+\frac{13 \sqrt{1-2 x} (5 x+3)^2}{56 (3 x+2)^2}-\frac{\sqrt{1-2 x} (26775 x+18187)}{1176 (3 x+2)}+\frac{13243 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{588 \sqrt{21}}","\frac{\sqrt{1-2 x} (5 x+3)^3}{(3 x+2)^3}-\frac{(1-2 x)^{3/2} (5 x+3)^3}{12 (3 x+2)^4}+\frac{13 \sqrt{1-2 x} (5 x+3)^2}{56 (3 x+2)^2}-\frac{\sqrt{1-2 x} (26775 x+18187)}{1176 (3 x+2)}+\frac{13243 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{588 \sqrt{21}}",1,"(13*Sqrt[1 - 2*x]*(3 + 5*x)^2)/(56*(2 + 3*x)^2) - ((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(12*(2 + 3*x)^4) + (Sqrt[1 - 2*x]*(3 + 5*x)^3)/(2 + 3*x)^3 - (Sqrt[1 - 2*x]*(18187 + 26775*x))/(1176*(2 + 3*x)) + (13243*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(588*Sqrt[21])","A",6,5,24,0.2083,1,"{97, 149, 146, 63, 206}"
1892,1,134,0,0.042094,"\int \frac{(1-2 x)^{3/2} (3+5 x)^3}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(2 + 3*x)^6,x]","\frac{3 \sqrt{1-2 x} (5 x+3)^3}{5 (3 x+2)^4}-\frac{(1-2 x)^{3/2} (5 x+3)^3}{15 (3 x+2)^5}-\frac{67 \sqrt{1-2 x} (5 x+3)^2}{315 (3 x+2)^3}-\frac{2 \sqrt{1-2 x} (15074 x+9529)}{9261 (3 x+2)^2}-\frac{13892 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9261 \sqrt{21}}","\frac{3 \sqrt{1-2 x} (5 x+3)^3}{5 (3 x+2)^4}-\frac{(1-2 x)^{3/2} (5 x+3)^3}{15 (3 x+2)^5}-\frac{67 \sqrt{1-2 x} (5 x+3)^2}{315 (3 x+2)^3}-\frac{2 \sqrt{1-2 x} (15074 x+9529)}{9261 (3 x+2)^2}-\frac{13892 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9261 \sqrt{21}}",1,"(-67*Sqrt[1 - 2*x]*(3 + 5*x)^2)/(315*(2 + 3*x)^3) - ((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(15*(2 + 3*x)^5) + (3*Sqrt[1 - 2*x]*(3 + 5*x)^3)/(5*(2 + 3*x)^4) - (2*Sqrt[1 - 2*x]*(9529 + 15074*x))/(9261*(2 + 3*x)^2) - (13892*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(9261*Sqrt[21])","A",6,5,24,0.2083,1,"{97, 149, 145, 63, 206}"
1893,1,154,0,0.0498541,"\int \frac{(1-2 x)^{3/2} (3+5 x)^3}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(2 + 3*x)^7,x]","\frac{2 \sqrt{1-2 x} (5 x+3)^3}{5 (3 x+2)^5}-\frac{(1-2 x)^{3/2} (5 x+3)^3}{18 (3 x+2)^6}-\frac{653 \sqrt{1-2 x} (5 x+3)^2}{2520 (3 x+2)^4}-\frac{\sqrt{1-2 x} (664915 x+413424)}{317520 (3 x+2)^3}-\frac{15313 \sqrt{1-2 x}}{444528 (3 x+2)}-\frac{15313 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{222264 \sqrt{21}}","\frac{2 \sqrt{1-2 x} (5 x+3)^3}{5 (3 x+2)^5}-\frac{(1-2 x)^{3/2} (5 x+3)^3}{18 (3 x+2)^6}-\frac{653 \sqrt{1-2 x} (5 x+3)^2}{2520 (3 x+2)^4}-\frac{\sqrt{1-2 x} (664915 x+413424)}{317520 (3 x+2)^3}-\frac{15313 \sqrt{1-2 x}}{444528 (3 x+2)}-\frac{15313 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{222264 \sqrt{21}}",1,"(-15313*Sqrt[1 - 2*x])/(444528*(2 + 3*x)) - (653*Sqrt[1 - 2*x]*(3 + 5*x)^2)/(2520*(2 + 3*x)^4) - ((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(18*(2 + 3*x)^6) + (2*Sqrt[1 - 2*x]*(3 + 5*x)^3)/(5*(2 + 3*x)^5) - (Sqrt[1 - 2*x]*(413424 + 664915*x))/(317520*(2 + 3*x)^3) - (15313*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(222264*Sqrt[21])","A",7,6,24,0.2500,1,"{97, 149, 145, 51, 63, 206}"
1894,1,174,0,0.0593299,"\int \frac{(1-2 x)^{3/2} (3+5 x)^3}{(2+3 x)^8} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(2 + 3*x)^8,x]","\frac{2 \sqrt{1-2 x} (5 x+3)^3}{7 (3 x+2)^6}-\frac{(1-2 x)^{3/2} (5 x+3)^3}{21 (3 x+2)^7}-\frac{173 \sqrt{1-2 x} (5 x+3)^2}{735 (3 x+2)^5}-\frac{\sqrt{1-2 x} (237807 x+146585)}{185220 (3 x+2)^4}-\frac{4369 \sqrt{1-2 x}}{1210104 (3 x+2)}-\frac{4369 \sqrt{1-2 x}}{518616 (3 x+2)^2}-\frac{4369 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{605052 \sqrt{21}}","\frac{2 \sqrt{1-2 x} (5 x+3)^3}{7 (3 x+2)^6}-\frac{(1-2 x)^{3/2} (5 x+3)^3}{21 (3 x+2)^7}-\frac{173 \sqrt{1-2 x} (5 x+3)^2}{735 (3 x+2)^5}-\frac{\sqrt{1-2 x} (237807 x+146585)}{185220 (3 x+2)^4}-\frac{4369 \sqrt{1-2 x}}{1210104 (3 x+2)}-\frac{4369 \sqrt{1-2 x}}{518616 (3 x+2)^2}-\frac{4369 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{605052 \sqrt{21}}",1,"(-4369*Sqrt[1 - 2*x])/(518616*(2 + 3*x)^2) - (4369*Sqrt[1 - 2*x])/(1210104*(2 + 3*x)) - (173*Sqrt[1 - 2*x]*(3 + 5*x)^2)/(735*(2 + 3*x)^5) - ((1 - 2*x)^(3/2)*(3 + 5*x)^3)/(21*(2 + 3*x)^7) + (2*Sqrt[1 - 2*x]*(3 + 5*x)^3)/(7*(2 + 3*x)^6) - (Sqrt[1 - 2*x]*(146585 + 237807*x))/(185220*(2 + 3*x)^4) - (4369*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(605052*Sqrt[21])","A",8,6,24,0.2500,1,"{97, 149, 145, 51, 63, 206}"
1895,1,134,0,0.0384962,"\int \frac{(1-2 x)^{3/2} (2+3 x)^6}{3+5 x} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^6)/(3 + 5*x),x]","\frac{243}{800} (1-2 x)^{15/2}-\frac{43011 (1-2 x)^{13/2}}{10400}+\frac{507627 (1-2 x)^{11/2}}{22000}-\frac{665817 (1-2 x)^{9/2}}{10000}+\frac{70752609 (1-2 x)^{7/2}}{700000}-\frac{167115051 (1-2 x)^{5/2}}{2500000}+\frac{2 (1-2 x)^{3/2}}{234375}+\frac{22 \sqrt{1-2 x}}{390625}-\frac{22 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{390625}","\frac{243}{800} (1-2 x)^{15/2}-\frac{43011 (1-2 x)^{13/2}}{10400}+\frac{507627 (1-2 x)^{11/2}}{22000}-\frac{665817 (1-2 x)^{9/2}}{10000}+\frac{70752609 (1-2 x)^{7/2}}{700000}-\frac{167115051 (1-2 x)^{5/2}}{2500000}+\frac{2 (1-2 x)^{3/2}}{234375}+\frac{22 \sqrt{1-2 x}}{390625}-\frac{22 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{390625}",1,"(22*Sqrt[1 - 2*x])/390625 + (2*(1 - 2*x)^(3/2))/234375 - (167115051*(1 - 2*x)^(5/2))/2500000 + (70752609*(1 - 2*x)^(7/2))/700000 - (665817*(1 - 2*x)^(9/2))/10000 + (507627*(1 - 2*x)^(11/2))/22000 - (43011*(1 - 2*x)^(13/2))/10400 + (243*(1 - 2*x)^(15/2))/800 - (22*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/390625","A",6,4,24,0.1667,1,"{88, 50, 63, 206}"
1896,1,121,0,0.0370955,"\int \frac{(1-2 x)^{3/2} (2+3 x)^5}{3+5 x} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^5)/(3 + 5*x),x]","-\frac{243 (1-2 x)^{13/2}}{1040}+\frac{5751 (1-2 x)^{11/2}}{2200}-\frac{5673}{500} (1-2 x)^{9/2}+\frac{806121 (1-2 x)^{7/2}}{35000}-\frac{4774713 (1-2 x)^{5/2}}{250000}+\frac{2 (1-2 x)^{3/2}}{46875}+\frac{22 \sqrt{1-2 x}}{78125}-\frac{22 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{78125}","-\frac{243 (1-2 x)^{13/2}}{1040}+\frac{5751 (1-2 x)^{11/2}}{2200}-\frac{5673}{500} (1-2 x)^{9/2}+\frac{806121 (1-2 x)^{7/2}}{35000}-\frac{4774713 (1-2 x)^{5/2}}{250000}+\frac{2 (1-2 x)^{3/2}}{46875}+\frac{22 \sqrt{1-2 x}}{78125}-\frac{22 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{78125}",1,"(22*Sqrt[1 - 2*x])/78125 + (2*(1 - 2*x)^(3/2))/46875 - (4774713*(1 - 2*x)^(5/2))/250000 + (806121*(1 - 2*x)^(7/2))/35000 - (5673*(1 - 2*x)^(9/2))/500 + (5751*(1 - 2*x)^(11/2))/2200 - (243*(1 - 2*x)^(13/2))/1040 - (22*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/78125","A",6,4,24,0.1667,1,"{88, 50, 63, 206}"
1897,1,108,0,0.0338326,"\int \frac{(1-2 x)^{3/2} (2+3 x)^4}{3+5 x} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^4)/(3 + 5*x),x]","\frac{81}{440} (1-2 x)^{11/2}-\frac{321}{200} (1-2 x)^{9/2}+\frac{34371 (1-2 x)^{7/2}}{7000}-\frac{136419 (1-2 x)^{5/2}}{25000}+\frac{2 (1-2 x)^{3/2}}{9375}+\frac{22 \sqrt{1-2 x}}{15625}-\frac{22 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15625}","\frac{81}{440} (1-2 x)^{11/2}-\frac{321}{200} (1-2 x)^{9/2}+\frac{34371 (1-2 x)^{7/2}}{7000}-\frac{136419 (1-2 x)^{5/2}}{25000}+\frac{2 (1-2 x)^{3/2}}{9375}+\frac{22 \sqrt{1-2 x}}{15625}-\frac{22 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15625}",1,"(22*Sqrt[1 - 2*x])/15625 + (2*(1 - 2*x)^(3/2))/9375 - (136419*(1 - 2*x)^(5/2))/25000 + (34371*(1 - 2*x)^(7/2))/7000 - (321*(1 - 2*x)^(9/2))/200 + (81*(1 - 2*x)^(11/2))/440 - (22*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/15625","A",6,4,24,0.1667,1,"{88, 50, 63, 206}"
1898,1,95,0,0.0319061,"\int \frac{(1-2 x)^{3/2} (2+3 x)^3}{3+5 x} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^3)/(3 + 5*x),x]","-\frac{3}{20} (1-2 x)^{9/2}+\frac{162}{175} (1-2 x)^{7/2}-\frac{3897 (1-2 x)^{5/2}}{2500}+\frac{2 (1-2 x)^{3/2}}{1875}+\frac{22 \sqrt{1-2 x}}{3125}-\frac{22 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125}","-\frac{3}{20} (1-2 x)^{9/2}+\frac{162}{175} (1-2 x)^{7/2}-\frac{3897 (1-2 x)^{5/2}}{2500}+\frac{2 (1-2 x)^{3/2}}{1875}+\frac{22 \sqrt{1-2 x}}{3125}-\frac{22 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125}",1,"(22*Sqrt[1 - 2*x])/3125 + (2*(1 - 2*x)^(3/2))/1875 - (3897*(1 - 2*x)^(5/2))/2500 + (162*(1 - 2*x)^(7/2))/175 - (3*(1 - 2*x)^(9/2))/20 - (22*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/3125","A",6,4,24,0.1667,1,"{88, 50, 63, 206}"
1899,1,82,0,0.029403,"\int \frac{(1-2 x)^{3/2} (2+3 x)^2}{3+5 x} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^2)/(3 + 5*x),x]","\frac{9}{70} (1-2 x)^{7/2}-\frac{111}{250} (1-2 x)^{5/2}+\frac{2}{375} (1-2 x)^{3/2}+\frac{22}{625} \sqrt{1-2 x}-\frac{22}{625} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{9}{70} (1-2 x)^{7/2}-\frac{111}{250} (1-2 x)^{5/2}+\frac{2}{375} (1-2 x)^{3/2}+\frac{22}{625} \sqrt{1-2 x}-\frac{22}{625} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(22*Sqrt[1 - 2*x])/625 + (2*(1 - 2*x)^(3/2))/375 - (111*(1 - 2*x)^(5/2))/250 + (9*(1 - 2*x)^(7/2))/70 - (22*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/625","A",6,4,24,0.1667,1,"{88, 50, 63, 206}"
1900,1,69,0,0.0175782,"\int \frac{(1-2 x)^{3/2} (2+3 x)}{3+5 x} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x))/(3 + 5*x),x]","-\frac{3}{25} (1-2 x)^{5/2}+\frac{2}{75} (1-2 x)^{3/2}+\frac{22}{125} \sqrt{1-2 x}-\frac{22}{125} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{3}{25} (1-2 x)^{5/2}+\frac{2}{75} (1-2 x)^{3/2}+\frac{22}{125} \sqrt{1-2 x}-\frac{22}{125} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(22*Sqrt[1 - 2*x])/125 + (2*(1 - 2*x)^(3/2))/75 - (3*(1 - 2*x)^(5/2))/25 - (22*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/125","A",5,4,22,0.1818,1,"{80, 50, 63, 206}"
1901,1,56,0,0.0124812,"\int \frac{(1-2 x)^{3/2}}{3+5 x} \, dx","Int[(1 - 2*x)^(3/2)/(3 + 5*x),x]","\frac{2}{15} (1-2 x)^{3/2}+\frac{22}{25} \sqrt{1-2 x}-\frac{22}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{2}{15} (1-2 x)^{3/2}+\frac{22}{25} \sqrt{1-2 x}-\frac{22}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(22*Sqrt[1 - 2*x])/25 + (2*(1 - 2*x)^(3/2))/15 - (22*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/25","A",4,3,17,0.1765,1,"{50, 63, 206}"
1902,1,72,0,0.0233582,"\int \frac{(1-2 x)^{3/2}}{(2+3 x) (3+5 x)} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)*(3 + 5*x)),x]","-\frac{4}{15} \sqrt{1-2 x}+\frac{14}{3} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{22}{5} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{4}{15} \sqrt{1-2 x}+\frac{14}{3} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{22}{5} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-4*Sqrt[1 - 2*x])/15 + (14*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/3 - (22*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/5","A",6,4,24,0.1667,1,"{84, 156, 63, 206}"
1903,1,77,0,0.0246948,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^2 (3+5 x)} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^2*(3 + 5*x)),x]","\frac{7 \sqrt{1-2 x}}{3 (3 x+2)}+\frac{64}{3} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-22 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 \sqrt{1-2 x}}{3 (3 x+2)}+\frac{64}{3} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-22 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(7*Sqrt[1 - 2*x])/(3*(2 + 3*x)) + (64*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/3 - 22*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",6,4,24,0.1667,1,"{98, 156, 63, 206}"
1904,1,93,0,0.0336983,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^3 (3+5 x)} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^3*(3 + 5*x)),x]","\frac{65 \sqrt{1-2 x}}{6 (3 x+2)}+\frac{7 \sqrt{1-2 x}}{6 (3 x+2)^2}+\frac{2243 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{3 \sqrt{21}}-22 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{65 \sqrt{1-2 x}}{6 (3 x+2)}+\frac{7 \sqrt{1-2 x}}{6 (3 x+2)^2}+\frac{2243 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{3 \sqrt{21}}-22 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(7*Sqrt[1 - 2*x])/(6*(2 + 3*x)^2) + (65*Sqrt[1 - 2*x])/(6*(2 + 3*x)) + (2243*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(3*Sqrt[21]) - 22*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",7,5,24,0.2083,1,"{98, 151, 156, 63, 206}"
1905,1,113,0,0.0463217,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^4 (3+5 x)} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^4*(3 + 5*x)),x]","\frac{1138 \sqrt{1-2 x}}{21 (3 x+2)}+\frac{49 \sqrt{1-2 x}}{9 (3 x+2)^2}+\frac{7 \sqrt{1-2 x}}{9 (3 x+2)^3}+\frac{78506 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{21 \sqrt{21}}-110 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{1138 \sqrt{1-2 x}}{21 (3 x+2)}+\frac{49 \sqrt{1-2 x}}{9 (3 x+2)^2}+\frac{7 \sqrt{1-2 x}}{9 (3 x+2)^3}+\frac{78506 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{21 \sqrt{21}}-110 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(7*Sqrt[1 - 2*x])/(9*(2 + 3*x)^3) + (49*Sqrt[1 - 2*x])/(9*(2 + 3*x)^2) + (1138*Sqrt[1 - 2*x])/(21*(2 + 3*x)) + (78506*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(21*Sqrt[21]) - 110*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",8,5,24,0.2083,1,"{98, 151, 156, 63, 206}"
1906,1,133,0,0.0554824,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^5 (3+5 x)} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^5*(3 + 5*x)),x]","\frac{318643 \sqrt{1-2 x}}{1176 (3 x+2)}+\frac{13723 \sqrt{1-2 x}}{504 (3 x+2)^2}+\frac{131 \sqrt{1-2 x}}{36 (3 x+2)^3}+\frac{7 \sqrt{1-2 x}}{12 (3 x+2)^4}+\frac{10990843 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{588 \sqrt{21}}-550 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{318643 \sqrt{1-2 x}}{1176 (3 x+2)}+\frac{13723 \sqrt{1-2 x}}{504 (3 x+2)^2}+\frac{131 \sqrt{1-2 x}}{36 (3 x+2)^3}+\frac{7 \sqrt{1-2 x}}{12 (3 x+2)^4}+\frac{10990843 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{588 \sqrt{21}}-550 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(7*Sqrt[1 - 2*x])/(12*(2 + 3*x)^4) + (131*Sqrt[1 - 2*x])/(36*(2 + 3*x)^3) + (13723*Sqrt[1 - 2*x])/(504*(2 + 3*x)^2) + (318643*Sqrt[1 - 2*x])/(1176*(2 + 3*x)) + (10990843*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(588*Sqrt[21]) - 550*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",9,5,24,0.2083,1,"{98, 151, 156, 63, 206}"
1907,1,153,0,0.0723188,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^6 (3+5 x)} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^6*(3 + 5*x)),x]","\frac{2788127 \sqrt{1-2 x}}{2058 (3 x+2)}+\frac{120077 \sqrt{1-2 x}}{882 (3 x+2)^2}+\frac{5732 \sqrt{1-2 x}}{315 (3 x+2)^3}+\frac{41 \sqrt{1-2 x}}{15 (3 x+2)^4}+\frac{7 \sqrt{1-2 x}}{15 (3 x+2)^5}+\frac{96169877 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}-2750 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{2788127 \sqrt{1-2 x}}{2058 (3 x+2)}+\frac{120077 \sqrt{1-2 x}}{882 (3 x+2)^2}+\frac{5732 \sqrt{1-2 x}}{315 (3 x+2)^3}+\frac{41 \sqrt{1-2 x}}{15 (3 x+2)^4}+\frac{7 \sqrt{1-2 x}}{15 (3 x+2)^5}+\frac{96169877 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}-2750 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(7*Sqrt[1 - 2*x])/(15*(2 + 3*x)^5) + (41*Sqrt[1 - 2*x])/(15*(2 + 3*x)^4) + (5732*Sqrt[1 - 2*x])/(315*(2 + 3*x)^3) + (120077*Sqrt[1 - 2*x])/(882*(2 + 3*x)^2) + (2788127*Sqrt[1 - 2*x])/(2058*(2 + 3*x)) + (96169877*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(1029*Sqrt[21]) - 2750*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",10,5,24,0.2083,1,"{98, 151, 156, 63, 206}"
1908,1,148,0,0.0541112,"\int \frac{(1-2 x)^{3/2} (2+3 x)^5}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^5)/(3 + 5*x)^2,x]","-\frac{(1-2 x)^{3/2} (3 x+2)^5}{5 (5 x+3)}+\frac{39}{275} (1-2 x)^{3/2} (3 x+2)^4+\frac{38 (1-2 x)^{3/2} (3 x+2)^3}{4125}-\frac{4016 (1-2 x)^{3/2} (3 x+2)^2}{48125}-\frac{2 (1-2 x)^{3/2} (204777 x+298462)}{515625}+\frac{324 \sqrt{1-2 x}}{78125}-\frac{324 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{78125}","-\frac{(1-2 x)^{3/2} (3 x+2)^5}{5 (5 x+3)}+\frac{39}{275} (1-2 x)^{3/2} (3 x+2)^4+\frac{38 (1-2 x)^{3/2} (3 x+2)^3}{4125}-\frac{4016 (1-2 x)^{3/2} (3 x+2)^2}{48125}-\frac{2 (1-2 x)^{3/2} (204777 x+298462)}{515625}+\frac{324 \sqrt{1-2 x}}{78125}-\frac{324 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{78125}",1,"(324*Sqrt[1 - 2*x])/78125 - (4016*(1 - 2*x)^(3/2)*(2 + 3*x)^2)/48125 + (38*(1 - 2*x)^(3/2)*(2 + 3*x)^3)/4125 + (39*(1 - 2*x)^(3/2)*(2 + 3*x)^4)/275 - ((1 - 2*x)^(3/2)*(2 + 3*x)^5)/(5*(3 + 5*x)) - (2*(1 - 2*x)^(3/2)*(298462 + 204777*x))/515625 - (324*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/78125","A",8,6,24,0.2500,1,"{97, 153, 147, 50, 63, 206}"
1909,1,128,0,0.0436493,"\int \frac{(1-2 x)^{3/2} (2+3 x)^4}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^4)/(3 + 5*x)^2,x]","-\frac{(1-2 x)^{3/2} (3 x+2)^4}{5 (5 x+3)}+\frac{11}{75} (1-2 x)^{3/2} (3 x+2)^3-\frac{2}{875} (1-2 x)^{3/2} (3 x+2)^2-\frac{(1-2 x)^{3/2} (3663 x+5678)}{9375}+\frac{258 \sqrt{1-2 x}}{15625}-\frac{258 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15625}","-\frac{(1-2 x)^{3/2} (3 x+2)^4}{5 (5 x+3)}+\frac{11}{75} (1-2 x)^{3/2} (3 x+2)^3-\frac{2}{875} (1-2 x)^{3/2} (3 x+2)^2-\frac{(1-2 x)^{3/2} (3663 x+5678)}{9375}+\frac{258 \sqrt{1-2 x}}{15625}-\frac{258 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15625}",1,"(258*Sqrt[1 - 2*x])/15625 - (2*(1 - 2*x)^(3/2)*(2 + 3*x)^2)/875 + (11*(1 - 2*x)^(3/2)*(2 + 3*x)^3)/75 - ((1 - 2*x)^(3/2)*(2 + 3*x)^4)/(5*(3 + 5*x)) - ((1 - 2*x)^(3/2)*(5678 + 3663*x))/9375 - (258*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/15625","A",7,6,24,0.2500,1,"{97, 153, 147, 50, 63, 206}"
1910,1,108,0,0.0329507,"\int \frac{(1-2 x)^{3/2} (2+3 x)^3}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^3)/(3 + 5*x)^2,x]","-\frac{(1-2 x)^{3/2} (3 x+2)^3}{5 (5 x+3)}+\frac{27}{175} (1-2 x)^{3/2} (3 x+2)^2-\frac{6}{625} (1-2 x)^{3/2} (9 x+29)+\frac{192 \sqrt{1-2 x}}{3125}-\frac{192 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125}","-\frac{(1-2 x)^{3/2} (3 x+2)^3}{5 (5 x+3)}+\frac{27}{175} (1-2 x)^{3/2} (3 x+2)^2-\frac{6}{625} (1-2 x)^{3/2} (9 x+29)+\frac{192 \sqrt{1-2 x}}{3125}-\frac{192 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125}",1,"(192*Sqrt[1 - 2*x])/3125 + (27*(1 - 2*x)^(3/2)*(2 + 3*x)^2)/175 - ((1 - 2*x)^(3/2)*(2 + 3*x)^3)/(5*(3 + 5*x)) - (6*(1 - 2*x)^(3/2)*(29 + 9*x))/625 - (192*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/3125","A",6,6,24,0.2500,1,"{97, 153, 147, 50, 63, 206}"
1911,1,89,0,0.0248406,"\int \frac{(1-2 x)^{3/2} (2+3 x)^2}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^2)/(3 + 5*x)^2,x]","-\frac{(1-2 x)^{5/2}}{275 (5 x+3)}-\frac{9}{125} (1-2 x)^{5/2}+\frac{42 (1-2 x)^{3/2}}{1375}+\frac{126}{625} \sqrt{1-2 x}-\frac{126}{625} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{(1-2 x)^{5/2}}{275 (5 x+3)}-\frac{9}{125} (1-2 x)^{5/2}+\frac{42 (1-2 x)^{3/2}}{1375}+\frac{126}{625} \sqrt{1-2 x}-\frac{126}{625} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(126*Sqrt[1 - 2*x])/625 + (42*(1 - 2*x)^(3/2))/1375 - (9*(1 - 2*x)^(5/2))/125 - (1 - 2*x)^(5/2)/(275*(3 + 5*x)) - (126*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/625","A",6,5,24,0.2083,1,"{89, 80, 50, 63, 206}"
1912,1,76,0,0.0182215,"\int \frac{(1-2 x)^{3/2} (2+3 x)}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x))/(3 + 5*x)^2,x]","-\frac{(1-2 x)^{5/2}}{55 (5 x+3)}+\frac{4}{55} (1-2 x)^{3/2}+\frac{12}{25} \sqrt{1-2 x}-\frac{12}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{(1-2 x)^{5/2}}{55 (5 x+3)}+\frac{4}{55} (1-2 x)^{3/2}+\frac{12}{25} \sqrt{1-2 x}-\frac{12}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(12*Sqrt[1 - 2*x])/25 + (4*(1 - 2*x)^(3/2))/55 - (1 - 2*x)^(5/2)/(55*(3 + 5*x)) - (12*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/25","A",5,4,22,0.1818,1,"{78, 50, 63, 206}"
1913,1,63,0,0.0131594,"\int \frac{(1-2 x)^{3/2}}{(3+5 x)^2} \, dx","Int[(1 - 2*x)^(3/2)/(3 + 5*x)^2,x]","-\frac{(1-2 x)^{3/2}}{5 (5 x+3)}-\frac{6}{25} \sqrt{1-2 x}+\frac{6}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{(1-2 x)^{3/2}}{5 (5 x+3)}-\frac{6}{25} \sqrt{1-2 x}+\frac{6}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-6*Sqrt[1 - 2*x])/25 - (1 - 2*x)^(3/2)/(5*(3 + 5*x)) + (6*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/25","A",4,4,17,0.2353,1,"{47, 50, 63, 206}"
1914,1,77,0,0.0249822,"\int \frac{(1-2 x)^{3/2}}{(2+3 x) (3+5 x)^2} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)*(3 + 5*x)^2),x]","-\frac{11 \sqrt{1-2 x}}{5 (5 x+3)}-14 \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{72}{5} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{11 \sqrt{1-2 x}}{5 (5 x+3)}-14 \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{72}{5} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-11*Sqrt[1 - 2*x])/(5*(3 + 5*x)) - 14*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] + (72*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/5","A",6,4,24,0.1667,1,"{98, 156, 63, 206}"
1915,1,102,0,0.0357827,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^2 (3+5 x)^2} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^2*(3 + 5*x)^2),x]","-\frac{68 \sqrt{1-2 x}}{3 (5 x+3)}+\frac{7 \sqrt{1-2 x}}{3 (3 x+2) (5 x+3)}-134 \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+138 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{68 \sqrt{1-2 x}}{3 (5 x+3)}+\frac{7 \sqrt{1-2 x}}{3 (3 x+2) (5 x+3)}-134 \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+138 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-68*Sqrt[1 - 2*x])/(3*(3 + 5*x)) + (7*Sqrt[1 - 2*x])/(3*(2 + 3*x)*(3 + 5*x)) - 134*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] + 138*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",7,5,24,0.2083,1,"{98, 151, 156, 63, 206}"
1916,1,127,0,0.0463023,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^3 (3+5 x)^2} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^3*(3 + 5*x)^2),x]","-\frac{335 \sqrt{1-2 x}}{2 (5 x+3)}+\frac{50 \sqrt{1-2 x}}{3 (3 x+2) (5 x+3)}+\frac{7 \sqrt{1-2 x}}{6 (3 x+2)^2 (5 x+3)}-2311 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+204 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{335 \sqrt{1-2 x}}{2 (5 x+3)}+\frac{50 \sqrt{1-2 x}}{3 (3 x+2) (5 x+3)}+\frac{7 \sqrt{1-2 x}}{6 (3 x+2)^2 (5 x+3)}-2311 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+204 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-335*Sqrt[1 - 2*x])/(2*(3 + 5*x)) + (7*Sqrt[1 - 2*x])/(6*(2 + 3*x)^2*(3 + 5*x)) + (50*Sqrt[1 - 2*x])/(3*(2 + 3*x)*(3 + 5*x)) - 2311*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] + 204*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",8,5,24,0.2083,1,"{98, 151, 156, 63, 206}"
1917,1,154,0,0.0590627,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^4 (3+5 x)^2} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^4*(3 + 5*x)^2),x]","-\frac{46555 \sqrt{1-2 x}}{42 (5 x+3)}+\frac{6949 \sqrt{1-2 x}}{63 (3 x+2) (5 x+3)}+\frac{133 \sqrt{1-2 x}}{18 (3 x+2)^2 (5 x+3)}+\frac{7 \sqrt{1-2 x}}{9 (3 x+2)^3 (5 x+3)}-\frac{321161 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{7 \sqrt{21}}+1350 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{46555 \sqrt{1-2 x}}{42 (5 x+3)}+\frac{6949 \sqrt{1-2 x}}{63 (3 x+2) (5 x+3)}+\frac{133 \sqrt{1-2 x}}{18 (3 x+2)^2 (5 x+3)}+\frac{7 \sqrt{1-2 x}}{9 (3 x+2)^3 (5 x+3)}-\frac{321161 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{7 \sqrt{21}}+1350 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-46555*Sqrt[1 - 2*x])/(42*(3 + 5*x)) + (7*Sqrt[1 - 2*x])/(9*(2 + 3*x)^3*(3 + 5*x)) + (133*Sqrt[1 - 2*x])/(18*(2 + 3*x)^2*(3 + 5*x)) + (6949*Sqrt[1 - 2*x])/(63*(2 + 3*x)*(3 + 5*x)) - (321161*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(7*Sqrt[21]) + 1350*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",9,5,24,0.2083,1,"{98, 151, 156, 63, 206}"
1918,1,181,0,0.0732897,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^5 (3+5 x)^2} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^5*(3 + 5*x)^2),x]","-\frac{8110915 \sqrt{1-2 x}}{1176 (5 x+3)}+\frac{302668 \sqrt{1-2 x}}{441 (3 x+2) (5 x+3)}+\frac{23173 \sqrt{1-2 x}}{504 (3 x+2)^2 (5 x+3)}+\frac{83 \sqrt{1-2 x}}{18 (3 x+2)^3 (5 x+3)}+\frac{7 \sqrt{1-2 x}}{12 (3 x+2)^4 (5 x+3)}-\frac{55953383 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{196 \sqrt{21}}+8400 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{8110915 \sqrt{1-2 x}}{1176 (5 x+3)}+\frac{302668 \sqrt{1-2 x}}{441 (3 x+2) (5 x+3)}+\frac{23173 \sqrt{1-2 x}}{504 (3 x+2)^2 (5 x+3)}+\frac{83 \sqrt{1-2 x}}{18 (3 x+2)^3 (5 x+3)}+\frac{7 \sqrt{1-2 x}}{12 (3 x+2)^4 (5 x+3)}-\frac{55953383 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{196 \sqrt{21}}+8400 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-8110915*Sqrt[1 - 2*x])/(1176*(3 + 5*x)) + (7*Sqrt[1 - 2*x])/(12*(2 + 3*x)^4*(3 + 5*x)) + (83*Sqrt[1 - 2*x])/(18*(2 + 3*x)^3*(3 + 5*x)) + (23173*Sqrt[1 - 2*x])/(504*(2 + 3*x)^2*(3 + 5*x)) + (302668*Sqrt[1 - 2*x])/(441*(2 + 3*x)*(3 + 5*x)) - (55953383*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(196*Sqrt[21]) + 8400*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",10,5,24,0.2083,1,"{98, 151, 156, 63, 206}"
1919,1,140,0,0.0485552,"\int \frac{(1-2 x)^{3/2} (2+3 x)^4}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^4)/(3 + 5*x)^3,x]","-\frac{129 \sqrt{1-2 x} (3 x+2)^4}{50 (5 x+3)}-\frac{(1-2 x)^{3/2} (3 x+2)^4}{10 (5 x+3)^2}+\frac{2643 \sqrt{1-2 x} (3 x+2)^3}{1750}+\frac{1404 \sqrt{1-2 x} (3 x+2)^2}{3125}+\frac{9 \sqrt{1-2 x} (1375 x+32)}{31250}-\frac{12279 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15625 \sqrt{55}}","-\frac{129 \sqrt{1-2 x} (3 x+2)^4}{50 (5 x+3)}-\frac{(1-2 x)^{3/2} (3 x+2)^4}{10 (5 x+3)^2}+\frac{2643 \sqrt{1-2 x} (3 x+2)^3}{1750}+\frac{1404 \sqrt{1-2 x} (3 x+2)^2}{3125}+\frac{9 \sqrt{1-2 x} (1375 x+32)}{31250}-\frac{12279 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15625 \sqrt{55}}",1,"(1404*Sqrt[1 - 2*x]*(2 + 3*x)^2)/3125 + (2643*Sqrt[1 - 2*x]*(2 + 3*x)^3)/1750 - ((1 - 2*x)^(3/2)*(2 + 3*x)^4)/(10*(3 + 5*x)^2) - (129*Sqrt[1 - 2*x]*(2 + 3*x)^4)/(50*(3 + 5*x)) + (9*Sqrt[1 - 2*x]*(32 + 1375*x))/31250 - (12279*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(15625*Sqrt[55])","A",7,6,24,0.2500,1,"{97, 149, 153, 147, 63, 206}"
1920,1,120,0,0.0365559,"\int \frac{(1-2 x)^{3/2} (2+3 x)^3}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^3)/(3 + 5*x)^3,x]","-\frac{48 \sqrt{1-2 x} (3 x+2)^3}{25 (5 x+3)}-\frac{(1-2 x)^{3/2} (3 x+2)^3}{10 (5 x+3)^2}+\frac{693}{625} \sqrt{1-2 x} (3 x+2)^2+\frac{63 \sqrt{1-2 x} (125 x+92)}{6250}-\frac{5943 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125 \sqrt{55}}","-\frac{48 \sqrt{1-2 x} (3 x+2)^3}{25 (5 x+3)}-\frac{(1-2 x)^{3/2} (3 x+2)^3}{10 (5 x+3)^2}+\frac{693}{625} \sqrt{1-2 x} (3 x+2)^2+\frac{63 \sqrt{1-2 x} (125 x+92)}{6250}-\frac{5943 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125 \sqrt{55}}",1,"(693*Sqrt[1 - 2*x]*(2 + 3*x)^2)/625 - ((1 - 2*x)^(3/2)*(2 + 3*x)^3)/(10*(3 + 5*x)^2) - (48*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(25*(3 + 5*x)) + (63*Sqrt[1 - 2*x]*(92 + 125*x))/6250 - (5943*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(3125*Sqrt[55])","A",6,6,24,0.2500,1,"{97, 149, 153, 147, 63, 206}"
1921,1,94,0,0.0260342,"\int \frac{(1-2 x)^{3/2} (2+3 x)^2}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^2)/(3 + 5*x)^3,x]","-\frac{131 (1-2 x)^{5/2}}{6050 (5 x+3)}-\frac{(1-2 x)^{5/2}}{550 (5 x+3)^2}+\frac{119 (1-2 x)^{3/2}}{3025}+\frac{357 \sqrt{1-2 x}}{1375}-\frac{357 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{125 \sqrt{55}}","-\frac{131 (1-2 x)^{5/2}}{6050 (5 x+3)}-\frac{(1-2 x)^{5/2}}{550 (5 x+3)^2}+\frac{119 (1-2 x)^{3/2}}{3025}+\frac{357 \sqrt{1-2 x}}{1375}-\frac{357 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{125 \sqrt{55}}",1,"(357*Sqrt[1 - 2*x])/1375 + (119*(1 - 2*x)^(3/2))/3025 - (1 - 2*x)^(5/2)/(550*(3 + 5*x)^2) - (131*(1 - 2*x)^(5/2))/(6050*(3 + 5*x)) - (357*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(125*Sqrt[55])","A",6,5,24,0.2083,1,"{89, 78, 50, 63, 206}"
1922,1,81,0,0.0187935,"\int \frac{(1-2 x)^{3/2} (2+3 x)}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x))/(3 + 5*x)^3,x]","-\frac{(1-2 x)^{5/2}}{110 (5 x+3)^2}-\frac{13 (1-2 x)^{3/2}}{110 (5 x+3)}-\frac{39}{275} \sqrt{1-2 x}+\frac{39 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{25 \sqrt{55}}","-\frac{(1-2 x)^{5/2}}{110 (5 x+3)^2}-\frac{13 (1-2 x)^{3/2}}{110 (5 x+3)}-\frac{39}{275} \sqrt{1-2 x}+\frac{39 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{25 \sqrt{55}}",1,"(-39*Sqrt[1 - 2*x])/275 - (1 - 2*x)^(5/2)/(110*(3 + 5*x)^2) - (13*(1 - 2*x)^(3/2))/(110*(3 + 5*x)) + (39*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(25*Sqrt[55])","A",5,5,22,0.2273,1,"{78, 47, 50, 63, 206}"
1923,1,68,0,0.0140419,"\int \frac{(1-2 x)^{3/2}}{(3+5 x)^3} \, dx","Int[(1 - 2*x)^(3/2)/(3 + 5*x)^3,x]","-\frac{(1-2 x)^{3/2}}{10 (5 x+3)^2}+\frac{3 \sqrt{1-2 x}}{50 (5 x+3)}-\frac{3 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{25 \sqrt{55}}","-\frac{(1-2 x)^{3/2}}{10 (5 x+3)^2}+\frac{3 \sqrt{1-2 x}}{50 (5 x+3)}-\frac{3 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{25 \sqrt{55}}",1,"-(1 - 2*x)^(3/2)/(10*(3 + 5*x)^2) + (3*Sqrt[1 - 2*x])/(50*(3 + 5*x)) - (3*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(25*Sqrt[55])","A",4,3,17,0.1765,1,"{47, 63, 206}"
1924,1,93,0,0.0350219,"\int \frac{(1-2 x)^{3/2}}{(2+3 x) (3+5 x)^3} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)*(3 + 5*x)^3),x]","\frac{71 \sqrt{1-2 x}}{10 (5 x+3)}-\frac{11 \sqrt{1-2 x}}{10 (5 x+3)^2}+14 \sqrt{21} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{2379 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{5 \sqrt{55}}","\frac{71 \sqrt{1-2 x}}{10 (5 x+3)}-\frac{11 \sqrt{1-2 x}}{10 (5 x+3)^2}+14 \sqrt{21} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{2379 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{5 \sqrt{55}}",1,"(-11*Sqrt[1 - 2*x])/(10*(3 + 5*x)^2) + (71*Sqrt[1 - 2*x])/(10*(3 + 5*x)) + 14*Sqrt[21]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] - (2379*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(5*Sqrt[55])","A",7,5,24,0.2083,1,"{98, 151, 156, 63, 206}"
1925,1,118,0,0.0434747,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^2 (3+5 x)^3} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^2*(3 + 5*x)^3),x]","\frac{207 \sqrt{1-2 x}}{2 (5 x+3)}-\frac{103 \sqrt{1-2 x}}{6 (5 x+3)^2}+\frac{7 \sqrt{1-2 x}}{3 (3 x+2) (5 x+3)^2}+204 \sqrt{21} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{6933 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{\sqrt{55}}","\frac{207 \sqrt{1-2 x}}{2 (5 x+3)}-\frac{103 \sqrt{1-2 x}}{6 (5 x+3)^2}+\frac{7 \sqrt{1-2 x}}{3 (3 x+2) (5 x+3)^2}+204 \sqrt{21} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{6933 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{\sqrt{55}}",1,"(-103*Sqrt[1 - 2*x])/(6*(3 + 5*x)^2) + (7*Sqrt[1 - 2*x])/(3*(2 + 3*x)*(3 + 5*x)^2) + (207*Sqrt[1 - 2*x])/(2*(3 + 5*x)) + 204*Sqrt[21]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] - (6933*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/Sqrt[55]","A",8,5,24,0.2083,1,"{98, 151, 156, 63, 206}"
1926,1,147,0,0.0582476,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^3 (3+5 x)^3} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^3*(3 + 5*x)^3),x]","\frac{1020 \sqrt{1-2 x}}{5 x+3}-\frac{1015 \sqrt{1-2 x}}{6 (5 x+3)^2}+\frac{45 \sqrt{1-2 x}}{2 (3 x+2) (5 x+3)^2}+\frac{7 \sqrt{1-2 x}}{6 (3 x+2)^2 (5 x+3)^2}+14073 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-13665 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{1020 \sqrt{1-2 x}}{5 x+3}-\frac{1015 \sqrt{1-2 x}}{6 (5 x+3)^2}+\frac{45 \sqrt{1-2 x}}{2 (3 x+2) (5 x+3)^2}+\frac{7 \sqrt{1-2 x}}{6 (3 x+2)^2 (5 x+3)^2}+14073 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-13665 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-1015*Sqrt[1 - 2*x])/(6*(3 + 5*x)^2) + (7*Sqrt[1 - 2*x])/(6*(2 + 3*x)^2*(3 + 5*x)^2) + (45*Sqrt[1 - 2*x])/(2*(2 + 3*x)*(3 + 5*x)^2) + (1020*Sqrt[1 - 2*x])/(3 + 5*x) + 14073*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] - 13665*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",9,5,24,0.2083,1,"{98, 151, 156, 63, 206}"
1927,1,178,0,0.0735551,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^4 (3+5 x)^3} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^4*(3 + 5*x)^3),x]","\frac{117955 \sqrt{1-2 x}}{14 (5 x+3)}-\frac{176065 \sqrt{1-2 x}}{126 (5 x+3)^2}+\frac{1301 \sqrt{1-2 x}}{7 (3 x+2) (5 x+3)^2}+\frac{28 \sqrt{1-2 x}}{3 (3 x+2)^2 (5 x+3)^2}+\frac{7 \sqrt{1-2 x}}{9 (3 x+2)^3 (5 x+3)^2}+\frac{813716}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-112875 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{117955 \sqrt{1-2 x}}{14 (5 x+3)}-\frac{176065 \sqrt{1-2 x}}{126 (5 x+3)^2}+\frac{1301 \sqrt{1-2 x}}{7 (3 x+2) (5 x+3)^2}+\frac{28 \sqrt{1-2 x}}{3 (3 x+2)^2 (5 x+3)^2}+\frac{7 \sqrt{1-2 x}}{9 (3 x+2)^3 (5 x+3)^2}+\frac{813716}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-112875 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-176065*Sqrt[1 - 2*x])/(126*(3 + 5*x)^2) + (7*Sqrt[1 - 2*x])/(9*(2 + 3*x)^3*(3 + 5*x)^2) + (28*Sqrt[1 - 2*x])/(3*(2 + 3*x)^2*(3 + 5*x)^2) + (1301*Sqrt[1 - 2*x])/(7*(2 + 3*x)*(3 + 5*x)^2) + (117955*Sqrt[1 - 2*x])/(14*(3 + 5*x)) + (813716*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/7 - 112875*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",10,5,24,0.2083,1,"{98, 151, 156, 63, 206}"
1928,1,105,0,0.018027,"\int (1-2 x)^{5/2} (2+3 x)^6 (3+5 x) \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^6*(3 + 5*x),x]","\frac{1215}{896} (1-2 x)^{21/2}-\frac{59049 (1-2 x)^{19/2}}{2432}+\frac{409941 (1-2 x)^{17/2}}{2176}-\frac{105399}{128} (1-2 x)^{15/2}+\frac{3658095 (1-2 x)^{13/2}}{1664}-\frac{5078115 (1-2 x)^{11/2}}{1408}+\frac{3916031 (1-2 x)^{9/2}}{1152}-\frac{184877}{128} (1-2 x)^{7/2}","\frac{1215}{896} (1-2 x)^{21/2}-\frac{59049 (1-2 x)^{19/2}}{2432}+\frac{409941 (1-2 x)^{17/2}}{2176}-\frac{105399}{128} (1-2 x)^{15/2}+\frac{3658095 (1-2 x)^{13/2}}{1664}-\frac{5078115 (1-2 x)^{11/2}}{1408}+\frac{3916031 (1-2 x)^{9/2}}{1152}-\frac{184877}{128} (1-2 x)^{7/2}",1,"(-184877*(1 - 2*x)^(7/2))/128 + (3916031*(1 - 2*x)^(9/2))/1152 - (5078115*(1 - 2*x)^(11/2))/1408 + (3658095*(1 - 2*x)^(13/2))/1664 - (105399*(1 - 2*x)^(15/2))/128 + (409941*(1 - 2*x)^(17/2))/2176 - (59049*(1 - 2*x)^(19/2))/2432 + (1215*(1 - 2*x)^(21/2))/896","A",2,1,22,0.04545,1,"{77}"
1929,1,92,0,0.0160557,"\int (1-2 x)^{5/2} (2+3 x)^5 (3+5 x) \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^5*(3 + 5*x),x]","-\frac{1215 (1-2 x)^{19/2}}{1216}+\frac{1053}{68} (1-2 x)^{17/2}-\frac{6489}{64} (1-2 x)^{15/2}+\frac{37485}{104} (1-2 x)^{13/2}-\frac{519645}{704} (1-2 x)^{11/2}+\frac{60025}{72} (1-2 x)^{9/2}-\frac{26411}{64} (1-2 x)^{7/2}","-\frac{1215 (1-2 x)^{19/2}}{1216}+\frac{1053}{68} (1-2 x)^{17/2}-\frac{6489}{64} (1-2 x)^{15/2}+\frac{37485}{104} (1-2 x)^{13/2}-\frac{519645}{704} (1-2 x)^{11/2}+\frac{60025}{72} (1-2 x)^{9/2}-\frac{26411}{64} (1-2 x)^{7/2}",1,"(-26411*(1 - 2*x)^(7/2))/64 + (60025*(1 - 2*x)^(9/2))/72 - (519645*(1 - 2*x)^(11/2))/704 + (37485*(1 - 2*x)^(13/2))/104 - (6489*(1 - 2*x)^(15/2))/64 + (1053*(1 - 2*x)^(17/2))/68 - (1215*(1 - 2*x)^(19/2))/1216","A",2,1,22,0.04545,1,"{77}"
1930,1,79,0,0.0144892,"\int (1-2 x)^{5/2} (2+3 x)^4 (3+5 x) \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^4*(3 + 5*x),x]","\frac{405}{544} (1-2 x)^{17/2}-\frac{1557}{160} (1-2 x)^{15/2}+\frac{10773}{208} (1-2 x)^{13/2}-\frac{24843}{176} (1-2 x)^{11/2}+\frac{57281}{288} (1-2 x)^{9/2}-\frac{3773}{32} (1-2 x)^{7/2}","\frac{405}{544} (1-2 x)^{17/2}-\frac{1557}{160} (1-2 x)^{15/2}+\frac{10773}{208} (1-2 x)^{13/2}-\frac{24843}{176} (1-2 x)^{11/2}+\frac{57281}{288} (1-2 x)^{9/2}-\frac{3773}{32} (1-2 x)^{7/2}",1,"(-3773*(1 - 2*x)^(7/2))/32 + (57281*(1 - 2*x)^(9/2))/288 - (24843*(1 - 2*x)^(11/2))/176 + (10773*(1 - 2*x)^(13/2))/208 - (1557*(1 - 2*x)^(15/2))/160 + (405*(1 - 2*x)^(17/2))/544","A",2,1,22,0.04545,1,"{77}"
1931,1,66,0,0.0124508,"\int (1-2 x)^{5/2} (2+3 x)^3 (3+5 x) \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^3*(3 + 5*x),x]","-\frac{9}{16} (1-2 x)^{15/2}+\frac{621}{104} (1-2 x)^{13/2}-\frac{1071}{44} (1-2 x)^{11/2}+\frac{3283}{72} (1-2 x)^{9/2}-\frac{539}{16} (1-2 x)^{7/2}","-\frac{9}{16} (1-2 x)^{15/2}+\frac{621}{104} (1-2 x)^{13/2}-\frac{1071}{44} (1-2 x)^{11/2}+\frac{3283}{72} (1-2 x)^{9/2}-\frac{539}{16} (1-2 x)^{7/2}",1,"(-539*(1 - 2*x)^(7/2))/16 + (3283*(1 - 2*x)^(9/2))/72 - (1071*(1 - 2*x)^(11/2))/44 + (621*(1 - 2*x)^(13/2))/104 - (9*(1 - 2*x)^(15/2))/16","A",2,1,22,0.04545,1,"{77}"
1932,1,53,0,0.0111987,"\int (1-2 x)^{5/2} (2+3 x)^2 (3+5 x) \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^2*(3 + 5*x),x]","\frac{45}{104} (1-2 x)^{13/2}-\frac{309}{88} (1-2 x)^{11/2}+\frac{707}{72} (1-2 x)^{9/2}-\frac{77}{8} (1-2 x)^{7/2}","\frac{45}{104} (1-2 x)^{13/2}-\frac{309}{88} (1-2 x)^{11/2}+\frac{707}{72} (1-2 x)^{9/2}-\frac{77}{8} (1-2 x)^{7/2}",1,"(-77*(1 - 2*x)^(7/2))/8 + (707*(1 - 2*x)^(9/2))/72 - (309*(1 - 2*x)^(11/2))/88 + (45*(1 - 2*x)^(13/2))/104","A",2,1,22,0.04545,1,"{77}"
1933,1,40,0,0.0078865,"\int (1-2 x)^{5/2} (2+3 x) (3+5 x) \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)*(3 + 5*x),x]","-\frac{15}{44} (1-2 x)^{11/2}+\frac{17}{9} (1-2 x)^{9/2}-\frac{11}{4} (1-2 x)^{7/2}","-\frac{15}{44} (1-2 x)^{11/2}+\frac{17}{9} (1-2 x)^{9/2}-\frac{11}{4} (1-2 x)^{7/2}",1,"(-11*(1 - 2*x)^(7/2))/4 + (17*(1 - 2*x)^(9/2))/9 - (15*(1 - 2*x)^(11/2))/44","A",2,1,20,0.05000,1,"{77}"
1934,1,27,0,0.0048761,"\int (1-2 x)^{5/2} (3+5 x) \, dx","Int[(1 - 2*x)^(5/2)*(3 + 5*x),x]","\frac{5}{18} (1-2 x)^{9/2}-\frac{11}{14} (1-2 x)^{7/2}","\frac{5}{18} (1-2 x)^{9/2}-\frac{11}{14} (1-2 x)^{7/2}",1,"(-11*(1 - 2*x)^(7/2))/14 + (5*(1 - 2*x)^(9/2))/18","A",2,1,15,0.06667,1,"{43}"
1935,1,82,0,0.0228927,"\int \frac{(1-2 x)^{5/2} (3+5 x)}{2+3 x} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x))/(2 + 3*x),x]","-\frac{5}{21} (1-2 x)^{7/2}-\frac{2}{45} (1-2 x)^{5/2}-\frac{14}{81} (1-2 x)^{3/2}-\frac{98}{81} \sqrt{1-2 x}+\frac{98}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","-\frac{5}{21} (1-2 x)^{7/2}-\frac{2}{45} (1-2 x)^{5/2}-\frac{14}{81} (1-2 x)^{3/2}-\frac{98}{81} \sqrt{1-2 x}+\frac{98}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(-98*Sqrt[1 - 2*x])/81 - (14*(1 - 2*x)^(3/2))/81 - (2*(1 - 2*x)^(5/2))/45 - (5*(1 - 2*x)^(7/2))/21 + (98*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/81","A",6,4,22,0.1818,1,"{80, 50, 63, 206}"
1936,1,89,0,0.0230484,"\int \frac{(1-2 x)^{5/2} (3+5 x)}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x))/(2 + 3*x)^2,x]","\frac{(1-2 x)^{7/2}}{21 (3 x+2)}+\frac{16}{63} (1-2 x)^{5/2}+\frac{80}{81} (1-2 x)^{3/2}+\frac{560}{81} \sqrt{1-2 x}-\frac{560}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","\frac{(1-2 x)^{7/2}}{21 (3 x+2)}+\frac{16}{63} (1-2 x)^{5/2}+\frac{80}{81} (1-2 x)^{3/2}+\frac{560}{81} \sqrt{1-2 x}-\frac{560}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(560*Sqrt[1 - 2*x])/81 + (80*(1 - 2*x)^(3/2))/81 + (16*(1 - 2*x)^(5/2))/63 + (1 - 2*x)^(7/2)/(21*(2 + 3*x)) - (560*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/81","A",6,4,22,0.1818,1,"{78, 50, 63, 206}"
1937,1,96,0,0.024988,"\int \frac{(1-2 x)^{5/2} (3+5 x)}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x))/(2 + 3*x)^3,x]","\frac{(1-2 x)^{7/2}}{42 (3 x+2)^2}-\frac{73 (1-2 x)^{5/2}}{126 (3 x+2)}-\frac{365}{567} (1-2 x)^{3/2}-\frac{365}{81} \sqrt{1-2 x}+\frac{365}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","\frac{(1-2 x)^{7/2}}{42 (3 x+2)^2}-\frac{73 (1-2 x)^{5/2}}{126 (3 x+2)}-\frac{365}{567} (1-2 x)^{3/2}-\frac{365}{81} \sqrt{1-2 x}+\frac{365}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(-365*Sqrt[1 - 2*x])/81 - (365*(1 - 2*x)^(3/2))/567 + (1 - 2*x)^(7/2)/(42*(2 + 3*x)^2) - (73*(1 - 2*x)^(5/2))/(126*(2 + 3*x)) + (365*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/81","A",6,5,22,0.2273,1,"{78, 47, 50, 63, 206}"
1938,1,101,0,0.0237164,"\int \frac{(1-2 x)^{5/2} (3+5 x)}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x))/(2 + 3*x)^4,x]","\frac{(1-2 x)^{7/2}}{63 (3 x+2)^3}-\frac{53 (1-2 x)^{5/2}}{189 (3 x+2)^2}+\frac{265 (1-2 x)^{3/2}}{567 (3 x+2)}+\frac{530}{567} \sqrt{1-2 x}-\frac{530 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{81 \sqrt{21}}","\frac{(1-2 x)^{7/2}}{63 (3 x+2)^3}-\frac{53 (1-2 x)^{5/2}}{189 (3 x+2)^2}+\frac{265 (1-2 x)^{3/2}}{567 (3 x+2)}+\frac{530}{567} \sqrt{1-2 x}-\frac{530 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{81 \sqrt{21}}",1,"(530*Sqrt[1 - 2*x])/567 + (1 - 2*x)^(7/2)/(63*(2 + 3*x)^3) - (53*(1 - 2*x)^(5/2))/(189*(2 + 3*x)^2) + (265*(1 - 2*x)^(3/2))/(567*(2 + 3*x)) - (530*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(81*Sqrt[21])","A",6,5,22,0.2273,1,"{78, 47, 50, 63, 206}"
1939,1,108,0,0.0281605,"\int \frac{(1-2 x)^{5/2} (3+5 x)}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x))/(2 + 3*x)^5,x]","\frac{(1-2 x)^{7/2}}{84 (3 x+2)^4}-\frac{139 (1-2 x)^{5/2}}{756 (3 x+2)^3}+\frac{695 (1-2 x)^{3/2}}{4536 (3 x+2)^2}-\frac{695 \sqrt{1-2 x}}{4536 (3 x+2)}+\frac{695 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{2268 \sqrt{21}}","\frac{(1-2 x)^{7/2}}{84 (3 x+2)^4}-\frac{139 (1-2 x)^{5/2}}{756 (3 x+2)^3}+\frac{695 (1-2 x)^{3/2}}{4536 (3 x+2)^2}-\frac{695 \sqrt{1-2 x}}{4536 (3 x+2)}+\frac{695 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{2268 \sqrt{21}}",1,"(1 - 2*x)^(7/2)/(84*(2 + 3*x)^4) - (139*(1 - 2*x)^(5/2))/(756*(2 + 3*x)^3) + (695*(1 - 2*x)^(3/2))/(4536*(2 + 3*x)^2) - (695*Sqrt[1 - 2*x])/(4536*(2 + 3*x)) + (695*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(2268*Sqrt[21])","A",6,4,22,0.1818,1,"{78, 47, 63, 206}"
1940,1,128,0,0.0362533,"\int \frac{(1-2 x)^{5/2} (3+5 x)}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x))/(2 + 3*x)^6,x]","\frac{(1-2 x)^{7/2}}{105 (3 x+2)^5}-\frac{43 (1-2 x)^{5/2}}{315 (3 x+2)^4}+\frac{43 (1-2 x)^{3/2}}{567 (3 x+2)^3}+\frac{43 \sqrt{1-2 x}}{7938 (3 x+2)}-\frac{43 \sqrt{1-2 x}}{1134 (3 x+2)^2}+\frac{43 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{3969 \sqrt{21}}","\frac{(1-2 x)^{7/2}}{105 (3 x+2)^5}-\frac{43 (1-2 x)^{5/2}}{315 (3 x+2)^4}+\frac{43 (1-2 x)^{3/2}}{567 (3 x+2)^3}+\frac{43 \sqrt{1-2 x}}{7938 (3 x+2)}-\frac{43 \sqrt{1-2 x}}{1134 (3 x+2)^2}+\frac{43 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{3969 \sqrt{21}}",1,"(1 - 2*x)^(7/2)/(105*(2 + 3*x)^5) - (43*(1 - 2*x)^(5/2))/(315*(2 + 3*x)^4) + (43*(1 - 2*x)^(3/2))/(567*(2 + 3*x)^3) - (43*Sqrt[1 - 2*x])/(1134*(2 + 3*x)^2) + (43*Sqrt[1 - 2*x])/(7938*(2 + 3*x)) + (43*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(3969*Sqrt[21])","A",7,5,22,0.2273,1,"{78, 47, 51, 63, 206}"
1941,1,148,0,0.0453164,"\int \frac{(1-2 x)^{5/2} (3+5 x)}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x))/(2 + 3*x)^7,x]","\frac{(1-2 x)^{7/2}}{126 (3 x+2)^6}-\frac{41 (1-2 x)^{5/2}}{378 (3 x+2)^5}+\frac{205 (1-2 x)^{3/2}}{4536 (3 x+2)^4}+\frac{205 \sqrt{1-2 x}}{444528 (3 x+2)}+\frac{205 \sqrt{1-2 x}}{190512 (3 x+2)^2}-\frac{205 \sqrt{1-2 x}}{13608 (3 x+2)^3}+\frac{205 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{222264 \sqrt{21}}","\frac{(1-2 x)^{7/2}}{126 (3 x+2)^6}-\frac{41 (1-2 x)^{5/2}}{378 (3 x+2)^5}+\frac{205 (1-2 x)^{3/2}}{4536 (3 x+2)^4}+\frac{205 \sqrt{1-2 x}}{444528 (3 x+2)}+\frac{205 \sqrt{1-2 x}}{190512 (3 x+2)^2}-\frac{205 \sqrt{1-2 x}}{13608 (3 x+2)^3}+\frac{205 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{222264 \sqrt{21}}",1,"(1 - 2*x)^(7/2)/(126*(2 + 3*x)^6) - (41*(1 - 2*x)^(5/2))/(378*(2 + 3*x)^5) + (205*(1 - 2*x)^(3/2))/(4536*(2 + 3*x)^4) - (205*Sqrt[1 - 2*x])/(13608*(2 + 3*x)^3) + (205*Sqrt[1 - 2*x])/(190512*(2 + 3*x)^2) + (205*Sqrt[1 - 2*x])/(444528*(2 + 3*x)) + (205*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(222264*Sqrt[21])","A",8,5,22,0.2273,1,"{78, 47, 51, 63, 206}"
1942,1,92,0,0.0166721,"\int (1-2 x)^{5/2} (2+3 x)^4 (3+5 x)^2 \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^4*(3 + 5*x)^2,x]","-\frac{2025 (1-2 x)^{19/2}}{1216}+\frac{13905}{544} (1-2 x)^{17/2}-\frac{53037}{320} (1-2 x)^{15/2}+\frac{121359}{208} (1-2 x)^{13/2}-\frac{832951}{704} (1-2 x)^{11/2}+\frac{381073}{288} (1-2 x)^{9/2}-\frac{41503}{64} (1-2 x)^{7/2}","-\frac{2025 (1-2 x)^{19/2}}{1216}+\frac{13905}{544} (1-2 x)^{17/2}-\frac{53037}{320} (1-2 x)^{15/2}+\frac{121359}{208} (1-2 x)^{13/2}-\frac{832951}{704} (1-2 x)^{11/2}+\frac{381073}{288} (1-2 x)^{9/2}-\frac{41503}{64} (1-2 x)^{7/2}",1,"(-41503*(1 - 2*x)^(7/2))/64 + (381073*(1 - 2*x)^(9/2))/288 - (832951*(1 - 2*x)^(11/2))/704 + (121359*(1 - 2*x)^(13/2))/208 - (53037*(1 - 2*x)^(15/2))/320 + (13905*(1 - 2*x)^(17/2))/544 - (2025*(1 - 2*x)^(19/2))/1216","A",2,1,24,0.04167,1,"{88}"
1943,1,79,0,0.0156546,"\int (1-2 x)^{5/2} (2+3 x)^3 (3+5 x)^2 \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^3*(3 + 5*x)^2,x]","\frac{675}{544} (1-2 x)^{17/2}-\frac{513}{32} (1-2 x)^{15/2}+\frac{17541}{208} (1-2 x)^{13/2}-\frac{39977}{176} (1-2 x)^{11/2}+\frac{91091}{288} (1-2 x)^{9/2}-\frac{5929}{32} (1-2 x)^{7/2}","\frac{675}{544} (1-2 x)^{17/2}-\frac{513}{32} (1-2 x)^{15/2}+\frac{17541}{208} (1-2 x)^{13/2}-\frac{39977}{176} (1-2 x)^{11/2}+\frac{91091}{288} (1-2 x)^{9/2}-\frac{5929}{32} (1-2 x)^{7/2}",1,"(-5929*(1 - 2*x)^(7/2))/32 + (91091*(1 - 2*x)^(9/2))/288 - (39977*(1 - 2*x)^(11/2))/176 + (17541*(1 - 2*x)^(13/2))/208 - (513*(1 - 2*x)^(15/2))/32 + (675*(1 - 2*x)^(17/2))/544","A",2,1,24,0.04167,1,"{88}"
1944,1,66,0,0.0143686,"\int (1-2 x)^{5/2} (2+3 x)^2 (3+5 x)^2 \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^2*(3 + 5*x)^2,x]","-\frac{15}{16} (1-2 x)^{15/2}+\frac{255}{26} (1-2 x)^{13/2}-\frac{3467}{88} (1-2 x)^{11/2}+\frac{1309}{18} (1-2 x)^{9/2}-\frac{847}{16} (1-2 x)^{7/2}","-\frac{15}{16} (1-2 x)^{15/2}+\frac{255}{26} (1-2 x)^{13/2}-\frac{3467}{88} (1-2 x)^{11/2}+\frac{1309}{18} (1-2 x)^{9/2}-\frac{847}{16} (1-2 x)^{7/2}",1,"(-847*(1 - 2*x)^(7/2))/16 + (1309*(1 - 2*x)^(9/2))/18 - (3467*(1 - 2*x)^(11/2))/88 + (255*(1 - 2*x)^(13/2))/26 - (15*(1 - 2*x)^(15/2))/16","A",2,1,24,0.04167,1,"{88}"
1945,1,53,0,0.0106357,"\int (1-2 x)^{5/2} (2+3 x) (3+5 x)^2 \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)*(3 + 5*x)^2,x]","\frac{75}{104} (1-2 x)^{13/2}-\frac{505}{88} (1-2 x)^{11/2}+\frac{1133}{72} (1-2 x)^{9/2}-\frac{121}{8} (1-2 x)^{7/2}","\frac{75}{104} (1-2 x)^{13/2}-\frac{505}{88} (1-2 x)^{11/2}+\frac{1133}{72} (1-2 x)^{9/2}-\frac{121}{8} (1-2 x)^{7/2}",1,"(-121*(1 - 2*x)^(7/2))/8 + (1133*(1 - 2*x)^(9/2))/72 - (505*(1 - 2*x)^(11/2))/88 + (75*(1 - 2*x)^(13/2))/104","A",2,1,22,0.04545,1,"{77}"
1946,1,40,0,0.0076592,"\int (1-2 x)^{5/2} (3+5 x)^2 \, dx","Int[(1 - 2*x)^(5/2)*(3 + 5*x)^2,x]","-\frac{25}{44} (1-2 x)^{11/2}+\frac{55}{18} (1-2 x)^{9/2}-\frac{121}{28} (1-2 x)^{7/2}","-\frac{25}{44} (1-2 x)^{11/2}+\frac{55}{18} (1-2 x)^{9/2}-\frac{121}{28} (1-2 x)^{7/2}",1,"(-121*(1 - 2*x)^(7/2))/28 + (55*(1 - 2*x)^(9/2))/18 - (25*(1 - 2*x)^(11/2))/44","A",2,1,17,0.05882,1,"{43}"
1947,1,95,0,0.0367094,"\int \frac{(1-2 x)^{5/2} (3+5 x)^2}{2+3 x} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^2)/(2 + 3*x),x]","\frac{25}{54} (1-2 x)^{9/2}-\frac{155}{126} (1-2 x)^{7/2}+\frac{2}{135} (1-2 x)^{5/2}+\frac{14}{243} (1-2 x)^{3/2}+\frac{98}{243} \sqrt{1-2 x}-\frac{98}{243} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","\frac{25}{54} (1-2 x)^{9/2}-\frac{155}{126} (1-2 x)^{7/2}+\frac{2}{135} (1-2 x)^{5/2}+\frac{14}{243} (1-2 x)^{3/2}+\frac{98}{243} \sqrt{1-2 x}-\frac{98}{243} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(98*Sqrt[1 - 2*x])/243 + (14*(1 - 2*x)^(3/2))/243 + (2*(1 - 2*x)^(5/2))/135 - (155*(1 - 2*x)^(7/2))/126 + (25*(1 - 2*x)^(9/2))/54 - (98*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/243","A",7,4,24,0.1667,1,"{88, 50, 63, 206}"
1948,1,102,0,0.0328107,"\int \frac{(1-2 x)^{5/2} (3+5 x)^2}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^2)/(2 + 3*x)^2,x]","-\frac{(1-2 x)^{7/2}}{63 (3 x+2)}-\frac{25}{63} (1-2 x)^{7/2}-\frac{10}{63} (1-2 x)^{5/2}-\frac{50}{81} (1-2 x)^{3/2}-\frac{350}{81} \sqrt{1-2 x}+\frac{350}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","-\frac{(1-2 x)^{7/2}}{63 (3 x+2)}-\frac{25}{63} (1-2 x)^{7/2}-\frac{10}{63} (1-2 x)^{5/2}-\frac{50}{81} (1-2 x)^{3/2}-\frac{350}{81} \sqrt{1-2 x}+\frac{350}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(-350*Sqrt[1 - 2*x])/81 - (50*(1 - 2*x)^(3/2))/81 - (10*(1 - 2*x)^(5/2))/63 - (25*(1 - 2*x)^(7/2))/63 - (1 - 2*x)^(7/2)/(63*(2 + 3*x)) + (350*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/81","A",7,5,24,0.2083,1,"{89, 80, 50, 63, 206}"
1949,1,109,0,0.0341017,"\int \frac{(1-2 x)^{5/2} (3+5 x)^2}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^2)/(2 + 3*x)^3,x]","\frac{143 (1-2 x)^{7/2}}{882 (3 x+2)}-\frac{(1-2 x)^{7/2}}{126 (3 x+2)^2}+\frac{211}{441} (1-2 x)^{5/2}+\frac{1055}{567} (1-2 x)^{3/2}+\frac{1055}{81} \sqrt{1-2 x}-\frac{1055}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","\frac{143 (1-2 x)^{7/2}}{882 (3 x+2)}-\frac{(1-2 x)^{7/2}}{126 (3 x+2)^2}+\frac{211}{441} (1-2 x)^{5/2}+\frac{1055}{567} (1-2 x)^{3/2}+\frac{1055}{81} \sqrt{1-2 x}-\frac{1055}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(1055*Sqrt[1 - 2*x])/81 + (1055*(1 - 2*x)^(3/2))/567 + (211*(1 - 2*x)^(5/2))/441 - (1 - 2*x)^(7/2)/(126*(2 + 3*x)^2) + (143*(1 - 2*x)^(7/2))/(882*(2 + 3*x)) - (1055*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/81","A",7,5,24,0.2083,1,"{89, 78, 50, 63, 206}"
1950,1,114,0,0.0345993,"\int \frac{(1-2 x)^{5/2} (3+5 x)^2}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^2)/(2 + 3*x)^4,x]","\frac{211 (1-2 x)^{7/2}}{2646 (3 x+2)^2}-\frac{(1-2 x)^{7/2}}{189 (3 x+2)^3}-\frac{887 (1-2 x)^{5/2}}{882 (3 x+2)}-\frac{4435 (1-2 x)^{3/2}}{3969}-\frac{4435}{567} \sqrt{1-2 x}+\frac{4435 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{81 \sqrt{21}}","\frac{211 (1-2 x)^{7/2}}{2646 (3 x+2)^2}-\frac{(1-2 x)^{7/2}}{189 (3 x+2)^3}-\frac{887 (1-2 x)^{5/2}}{882 (3 x+2)}-\frac{4435 (1-2 x)^{3/2}}{3969}-\frac{4435}{567} \sqrt{1-2 x}+\frac{4435 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{81 \sqrt{21}}",1,"(-4435*Sqrt[1 - 2*x])/567 - (4435*(1 - 2*x)^(3/2))/3969 - (1 - 2*x)^(7/2)/(189*(2 + 3*x)^3) + (211*(1 - 2*x)^(7/2))/(2646*(2 + 3*x)^2) - (887*(1 - 2*x)^(5/2))/(882*(2 + 3*x)) + (4435*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(81*Sqrt[21])","A",7,6,24,0.2500,1,"{89, 78, 47, 50, 63, 206}"
1951,1,121,0,0.0330275,"\int \frac{(1-2 x)^{5/2} (3+5 x)^2}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^2)/(2 + 3*x)^5,x]","\frac{31 (1-2 x)^{7/2}}{588 (3 x+2)^3}-\frac{(1-2 x)^{7/2}}{252 (3 x+2)^4}-\frac{4993 (1-2 x)^{5/2}}{10584 (3 x+2)^2}+\frac{24965 (1-2 x)^{3/2}}{31752 (3 x+2)}+\frac{24965 \sqrt{1-2 x}}{15876}-\frac{24965 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{2268 \sqrt{21}}","\frac{31 (1-2 x)^{7/2}}{588 (3 x+2)^3}-\frac{(1-2 x)^{7/2}}{252 (3 x+2)^4}-\frac{4993 (1-2 x)^{5/2}}{10584 (3 x+2)^2}+\frac{24965 (1-2 x)^{3/2}}{31752 (3 x+2)}+\frac{24965 \sqrt{1-2 x}}{15876}-\frac{24965 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{2268 \sqrt{21}}",1,"(24965*Sqrt[1 - 2*x])/15876 - (1 - 2*x)^(7/2)/(252*(2 + 3*x)^4) + (31*(1 - 2*x)^(7/2))/(588*(2 + 3*x)^3) - (4993*(1 - 2*x)^(5/2))/(10584*(2 + 3*x)^2) + (24965*(1 - 2*x)^(3/2))/(31752*(2 + 3*x)) - (24965*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(2268*Sqrt[21])","A",7,6,24,0.2500,1,"{89, 78, 47, 50, 63, 206}"
1952,1,128,0,0.0385309,"\int \frac{(1-2 x)^{5/2} (3+5 x)^2}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^2)/(2 + 3*x)^6,x]","\frac{347 (1-2 x)^{7/2}}{8820 (3 x+2)^4}-\frac{(1-2 x)^{7/2}}{315 (3 x+2)^5}-\frac{8051 (1-2 x)^{5/2}}{26460 (3 x+2)^3}+\frac{8051 (1-2 x)^{3/2}}{31752 (3 x+2)^2}-\frac{8051 \sqrt{1-2 x}}{31752 (3 x+2)}+\frac{8051 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{15876 \sqrt{21}}","\frac{347 (1-2 x)^{7/2}}{8820 (3 x+2)^4}-\frac{(1-2 x)^{7/2}}{315 (3 x+2)^5}-\frac{8051 (1-2 x)^{5/2}}{26460 (3 x+2)^3}+\frac{8051 (1-2 x)^{3/2}}{31752 (3 x+2)^2}-\frac{8051 \sqrt{1-2 x}}{31752 (3 x+2)}+\frac{8051 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{15876 \sqrt{21}}",1,"-(1 - 2*x)^(7/2)/(315*(2 + 3*x)^5) + (347*(1 - 2*x)^(7/2))/(8820*(2 + 3*x)^4) - (8051*(1 - 2*x)^(5/2))/(26460*(2 + 3*x)^3) + (8051*(1 - 2*x)^(3/2))/(31752*(2 + 3*x)^2) - (8051*Sqrt[1 - 2*x])/(31752*(2 + 3*x)) + (8051*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(15876*Sqrt[21])","A",7,5,24,0.2083,1,"{89, 78, 47, 63, 206}"
1953,1,148,0,0.0473317,"\int \frac{(1-2 x)^{5/2} (3+5 x)^2}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^2)/(2 + 3*x)^7,x]","\frac{83 (1-2 x)^{7/2}}{2646 (3 x+2)^5}-\frac{(1-2 x)^{7/2}}{378 (3 x+2)^6}-\frac{263 (1-2 x)^{5/2}}{1176 (3 x+2)^4}+\frac{1315 (1-2 x)^{3/2}}{10584 (3 x+2)^3}+\frac{1315 \sqrt{1-2 x}}{148176 (3 x+2)}-\frac{1315 \sqrt{1-2 x}}{21168 (3 x+2)^2}+\frac{1315 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{74088 \sqrt{21}}","\frac{83 (1-2 x)^{7/2}}{2646 (3 x+2)^5}-\frac{(1-2 x)^{7/2}}{378 (3 x+2)^6}-\frac{263 (1-2 x)^{5/2}}{1176 (3 x+2)^4}+\frac{1315 (1-2 x)^{3/2}}{10584 (3 x+2)^3}+\frac{1315 \sqrt{1-2 x}}{148176 (3 x+2)}-\frac{1315 \sqrt{1-2 x}}{21168 (3 x+2)^2}+\frac{1315 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{74088 \sqrt{21}}",1,"-(1 - 2*x)^(7/2)/(378*(2 + 3*x)^6) + (83*(1 - 2*x)^(7/2))/(2646*(2 + 3*x)^5) - (263*(1 - 2*x)^(5/2))/(1176*(2 + 3*x)^4) + (1315*(1 - 2*x)^(3/2))/(10584*(2 + 3*x)^3) - (1315*Sqrt[1 - 2*x])/(21168*(2 + 3*x)^2) + (1315*Sqrt[1 - 2*x])/(148176*(2 + 3*x)) + (1315*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(74088*Sqrt[21])","A",8,6,24,0.2500,1,"{89, 78, 47, 51, 63, 206}"
1954,1,168,0,0.0599715,"\int \frac{(1-2 x)^{5/2} (3+5 x)^2}{(2+3 x)^8} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^2)/(2 + 3*x)^8,x]","\frac{23 (1-2 x)^{7/2}}{882 (3 x+2)^6}-\frac{(1-2 x)^{7/2}}{441 (3 x+2)^7}-\frac{467 (1-2 x)^{5/2}}{2646 (3 x+2)^5}+\frac{2335 (1-2 x)^{3/2}}{31752 (3 x+2)^4}+\frac{2335 \sqrt{1-2 x}}{3111696 (3 x+2)}+\frac{2335 \sqrt{1-2 x}}{1333584 (3 x+2)^2}-\frac{2335 \sqrt{1-2 x}}{95256 (3 x+2)^3}+\frac{2335 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1555848 \sqrt{21}}","\frac{23 (1-2 x)^{7/2}}{882 (3 x+2)^6}-\frac{(1-2 x)^{7/2}}{441 (3 x+2)^7}-\frac{467 (1-2 x)^{5/2}}{2646 (3 x+2)^5}+\frac{2335 (1-2 x)^{3/2}}{31752 (3 x+2)^4}+\frac{2335 \sqrt{1-2 x}}{3111696 (3 x+2)}+\frac{2335 \sqrt{1-2 x}}{1333584 (3 x+2)^2}-\frac{2335 \sqrt{1-2 x}}{95256 (3 x+2)^3}+\frac{2335 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1555848 \sqrt{21}}",1,"-(1 - 2*x)^(7/2)/(441*(2 + 3*x)^7) + (23*(1 - 2*x)^(7/2))/(882*(2 + 3*x)^6) - (467*(1 - 2*x)^(5/2))/(2646*(2 + 3*x)^5) + (2335*(1 - 2*x)^(3/2))/(31752*(2 + 3*x)^4) - (2335*Sqrt[1 - 2*x])/(95256*(2 + 3*x)^3) + (2335*Sqrt[1 - 2*x])/(1333584*(2 + 3*x)^2) + (2335*Sqrt[1 - 2*x])/(3111696*(2 + 3*x)) + (2335*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(1555848*Sqrt[21])","A",9,6,24,0.2500,1,"{89, 78, 47, 51, 63, 206}"
1955,1,105,0,0.0191203,"\int (1-2 x)^{5/2} (2+3 x)^4 (3+5 x)^3 \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^4*(3 + 5*x)^3,x]","\frac{3375}{896} (1-2 x)^{21/2}-\frac{161325 (1-2 x)^{19/2}}{2432}+\frac{1101465 (1-2 x)^{17/2}}{2176}-\frac{1392467}{640} (1-2 x)^{15/2}+\frac{9504551 (1-2 x)^{13/2}}{1664}-\frac{1179381}{128} (1-2 x)^{11/2}+\frac{3278737}{384} (1-2 x)^{9/2}-\frac{456533}{128} (1-2 x)^{7/2}","\frac{3375}{896} (1-2 x)^{21/2}-\frac{161325 (1-2 x)^{19/2}}{2432}+\frac{1101465 (1-2 x)^{17/2}}{2176}-\frac{1392467}{640} (1-2 x)^{15/2}+\frac{9504551 (1-2 x)^{13/2}}{1664}-\frac{1179381}{128} (1-2 x)^{11/2}+\frac{3278737}{384} (1-2 x)^{9/2}-\frac{456533}{128} (1-2 x)^{7/2}",1,"(-456533*(1 - 2*x)^(7/2))/128 + (3278737*(1 - 2*x)^(9/2))/384 - (1179381*(1 - 2*x)^(11/2))/128 + (9504551*(1 - 2*x)^(13/2))/1664 - (1392467*(1 - 2*x)^(15/2))/640 + (1101465*(1 - 2*x)^(17/2))/2176 - (161325*(1 - 2*x)^(19/2))/2432 + (3375*(1 - 2*x)^(21/2))/896","A",2,1,24,0.04167,1,"{88}"
1956,1,92,0,0.016738,"\int (1-2 x)^{5/2} (2+3 x)^3 (3+5 x)^3 \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^3*(3 + 5*x)^3,x]","-\frac{3375 (1-2 x)^{19/2}}{1216}+\frac{675}{16} (1-2 x)^{17/2}-\frac{17337}{64} (1-2 x)^{15/2}+\frac{98209}{104} (1-2 x)^{13/2}-\frac{121359}{64} (1-2 x)^{11/2}+\frac{100793}{48} (1-2 x)^{9/2}-\frac{65219}{64} (1-2 x)^{7/2}","-\frac{3375 (1-2 x)^{19/2}}{1216}+\frac{675}{16} (1-2 x)^{17/2}-\frac{17337}{64} (1-2 x)^{15/2}+\frac{98209}{104} (1-2 x)^{13/2}-\frac{121359}{64} (1-2 x)^{11/2}+\frac{100793}{48} (1-2 x)^{9/2}-\frac{65219}{64} (1-2 x)^{7/2}",1,"(-65219*(1 - 2*x)^(7/2))/64 + (100793*(1 - 2*x)^(9/2))/48 - (121359*(1 - 2*x)^(11/2))/64 + (98209*(1 - 2*x)^(13/2))/104 - (17337*(1 - 2*x)^(15/2))/64 + (675*(1 - 2*x)^(17/2))/16 - (3375*(1 - 2*x)^(19/2))/1216","A",2,1,24,0.04167,1,"{88}"
1957,1,79,0,0.0158904,"\int (1-2 x)^{5/2} (2+3 x)^2 (3+5 x)^3 \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^2*(3 + 5*x)^3,x]","\frac{1125}{544} (1-2 x)^{17/2}-\frac{845}{32} (1-2 x)^{15/2}+\frac{28555}{208} (1-2 x)^{13/2}-\frac{5847}{16} (1-2 x)^{11/2}+\frac{16093}{32} (1-2 x)^{9/2}-\frac{9317}{32} (1-2 x)^{7/2}","\frac{1125}{544} (1-2 x)^{17/2}-\frac{845}{32} (1-2 x)^{15/2}+\frac{28555}{208} (1-2 x)^{13/2}-\frac{5847}{16} (1-2 x)^{11/2}+\frac{16093}{32} (1-2 x)^{9/2}-\frac{9317}{32} (1-2 x)^{7/2}",1,"(-9317*(1 - 2*x)^(7/2))/32 + (16093*(1 - 2*x)^(9/2))/32 - (5847*(1 - 2*x)^(11/2))/16 + (28555*(1 - 2*x)^(13/2))/208 - (845*(1 - 2*x)^(15/2))/32 + (1125*(1 - 2*x)^(17/2))/544","A",2,1,24,0.04167,1,"{88}"
1958,1,66,0,0.0119495,"\int (1-2 x)^{5/2} (2+3 x) (3+5 x)^3 \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)*(3 + 5*x)^3,x]","-\frac{25}{16} (1-2 x)^{15/2}+\frac{1675}{104} (1-2 x)^{13/2}-\frac{255}{4} (1-2 x)^{11/2}+\frac{2783}{24} (1-2 x)^{9/2}-\frac{1331}{16} (1-2 x)^{7/2}","-\frac{25}{16} (1-2 x)^{15/2}+\frac{1675}{104} (1-2 x)^{13/2}-\frac{255}{4} (1-2 x)^{11/2}+\frac{2783}{24} (1-2 x)^{9/2}-\frac{1331}{16} (1-2 x)^{7/2}",1,"(-1331*(1 - 2*x)^(7/2))/16 + (2783*(1 - 2*x)^(9/2))/24 - (255*(1 - 2*x)^(11/2))/4 + (1675*(1 - 2*x)^(13/2))/104 - (25*(1 - 2*x)^(15/2))/16","A",2,1,22,0.04545,1,"{77}"
1959,1,53,0,0.0092651,"\int (1-2 x)^{5/2} (3+5 x)^3 \, dx","Int[(1 - 2*x)^(5/2)*(3 + 5*x)^3,x]","\frac{125}{104} (1-2 x)^{13/2}-\frac{75}{8} (1-2 x)^{11/2}+\frac{605}{24} (1-2 x)^{9/2}-\frac{1331}{56} (1-2 x)^{7/2}","\frac{125}{104} (1-2 x)^{13/2}-\frac{75}{8} (1-2 x)^{11/2}+\frac{605}{24} (1-2 x)^{9/2}-\frac{1331}{56} (1-2 x)^{7/2}",1,"(-1331*(1 - 2*x)^(7/2))/56 + (605*(1 - 2*x)^(9/2))/24 - (75*(1 - 2*x)^(11/2))/8 + (125*(1 - 2*x)^(13/2))/104","A",2,1,17,0.05882,1,"{43}"
1960,1,108,0,0.0387712,"\int \frac{(1-2 x)^{5/2} (3+5 x)^3}{2+3 x} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(2 + 3*x),x]","-\frac{125}{132} (1-2 x)^{11/2}+\frac{400}{81} (1-2 x)^{9/2}-\frac{5135}{756} (1-2 x)^{7/2}-\frac{2}{405} (1-2 x)^{5/2}-\frac{14}{729} (1-2 x)^{3/2}-\frac{98}{729} \sqrt{1-2 x}+\frac{98}{729} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","-\frac{125}{132} (1-2 x)^{11/2}+\frac{400}{81} (1-2 x)^{9/2}-\frac{5135}{756} (1-2 x)^{7/2}-\frac{2}{405} (1-2 x)^{5/2}-\frac{14}{729} (1-2 x)^{3/2}-\frac{98}{729} \sqrt{1-2 x}+\frac{98}{729} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(-98*Sqrt[1 - 2*x])/729 - (14*(1 - 2*x)^(3/2))/729 - (2*(1 - 2*x)^(5/2))/405 - (5135*(1 - 2*x)^(7/2))/756 + (400*(1 - 2*x)^(9/2))/81 - (125*(1 - 2*x)^(11/2))/132 + (98*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/729","A",7,4,24,0.1667,1,"{88, 50, 63, 206}"
1961,1,121,0,0.0425597,"\int \frac{(1-2 x)^{5/2} (3+5 x)^3}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(2 + 3*x)^2,x]","-\frac{(1-2 x)^{5/2} (5 x+3)^3}{3 (3 x+2)}+\frac{55}{81} (1-2 x)^{5/2} (5 x+3)^2+\frac{220}{729} (1-2 x)^{3/2}-\frac{22}{567} (1-2 x)^{5/2} (100 x+69)+\frac{1540}{729} \sqrt{1-2 x}-\frac{1540}{729} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","-\frac{(1-2 x)^{5/2} (5 x+3)^3}{3 (3 x+2)}+\frac{55}{81} (1-2 x)^{5/2} (5 x+3)^2+\frac{220}{729} (1-2 x)^{3/2}-\frac{22}{567} (1-2 x)^{5/2} (100 x+69)+\frac{1540}{729} \sqrt{1-2 x}-\frac{1540}{729} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(1540*Sqrt[1 - 2*x])/729 + (220*(1 - 2*x)^(3/2))/729 + (55*(1 - 2*x)^(5/2)*(3 + 5*x)^2)/81 - ((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(3*(2 + 3*x)) - (22*(1 - 2*x)^(5/2)*(69 + 100*x))/567 - (1540*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/729","A",8,7,24,0.2917,1,"{97, 12, 153, 147, 50, 63, 206}"
1962,1,135,0,0.0617776,"\int \frac{(1-2 x)^{5/2} (3+5 x)^3}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(2 + 3*x)^3,x]","\frac{55 (1-2 x)^{3/2} (5 x+3)^3}{9 (3 x+2)}-\frac{(1-2 x)^{5/2} (5 x+3)^3}{6 (3 x+2)^2}-\frac{220}{21} (1-2 x)^{3/2} (5 x+3)^2+\frac{55 (1-2 x)^{3/2} (603 x+209)}{1134}-\frac{935}{81} \sqrt{1-2 x}+\frac{935}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","\frac{55 (1-2 x)^{3/2} (5 x+3)^3}{9 (3 x+2)}-\frac{(1-2 x)^{5/2} (5 x+3)^3}{6 (3 x+2)^2}-\frac{220}{21} (1-2 x)^{3/2} (5 x+3)^2+\frac{55 (1-2 x)^{3/2} (603 x+209)}{1134}-\frac{935}{81} \sqrt{1-2 x}+\frac{935}{81} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"(-935*Sqrt[1 - 2*x])/81 - (220*(1 - 2*x)^(3/2)*(3 + 5*x)^2)/21 - ((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(6*(2 + 3*x)^2) + (55*(1 - 2*x)^(3/2)*(3 + 5*x)^3)/(9*(2 + 3*x)) + (55*(1 - 2*x)^(3/2)*(209 + 603*x))/1134 + (935*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/81","A",8,8,24,0.3333,1,"{97, 12, 149, 153, 147, 50, 63, 206}"
1963,1,147,0,0.0585161,"\int \frac{(1-2 x)^{5/2} (3+5 x)^3}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(2 + 3*x)^4,x]","-\frac{275 \sqrt{1-2 x} (5 x+3)^3}{9 (3 x+2)}+\frac{55 (1-2 x)^{3/2} (5 x+3)^3}{27 (3 x+2)^2}-\frac{(1-2 x)^{5/2} (5 x+3)^3}{9 (3 x+2)^3}+\frac{1441}{27} \sqrt{1-2 x} (5 x+3)^2-\frac{22}{243} \sqrt{1-2 x} (1885 x+578)-\frac{41360 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{243 \sqrt{21}}","-\frac{275 \sqrt{1-2 x} (5 x+3)^3}{9 (3 x+2)}+\frac{55 (1-2 x)^{3/2} (5 x+3)^3}{27 (3 x+2)^2}-\frac{(1-2 x)^{5/2} (5 x+3)^3}{9 (3 x+2)^3}+\frac{1441}{27} \sqrt{1-2 x} (5 x+3)^2-\frac{22}{243} \sqrt{1-2 x} (1885 x+578)-\frac{41360 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{243 \sqrt{21}}",1,"(1441*Sqrt[1 - 2*x]*(3 + 5*x)^2)/27 - ((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(9*(2 + 3*x)^3) + (55*(1 - 2*x)^(3/2)*(3 + 5*x)^3)/(27*(2 + 3*x)^2) - (275*Sqrt[1 - 2*x]*(3 + 5*x)^3)/(9*(2 + 3*x)) - (22*Sqrt[1 - 2*x]*(578 + 1885*x))/243 - (41360*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(243*Sqrt[21])","A",8,7,24,0.2917,1,"{97, 12, 149, 153, 147, 63, 206}"
1964,1,154,0,0.06041,"\int \frac{(1-2 x)^{5/2} (3+5 x)^3}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(2 + 3*x)^5,x]","-\frac{55 \sqrt{1-2 x} (5 x+3)^3}{24 (3 x+2)^2}+\frac{55 (1-2 x)^{3/2} (5 x+3)^3}{54 (3 x+2)^3}-\frac{(1-2 x)^{5/2} (5 x+3)^3}{12 (3 x+2)^4}-\frac{2255 \sqrt{1-2 x} (5 x+3)^2}{378 (3 x+2)}+\frac{275 \sqrt{1-2 x} (4595 x+1123)}{13608}+\frac{645865 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{6804 \sqrt{21}}","-\frac{55 \sqrt{1-2 x} (5 x+3)^3}{24 (3 x+2)^2}+\frac{55 (1-2 x)^{3/2} (5 x+3)^3}{54 (3 x+2)^3}-\frac{(1-2 x)^{5/2} (5 x+3)^3}{12 (3 x+2)^4}-\frac{2255 \sqrt{1-2 x} (5 x+3)^2}{378 (3 x+2)}+\frac{275 \sqrt{1-2 x} (4595 x+1123)}{13608}+\frac{645865 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{6804 \sqrt{21}}",1,"(-2255*Sqrt[1 - 2*x]*(3 + 5*x)^2)/(378*(2 + 3*x)) - ((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(12*(2 + 3*x)^4) + (55*(1 - 2*x)^(3/2)*(3 + 5*x)^3)/(54*(2 + 3*x)^3) - (55*Sqrt[1 - 2*x]*(3 + 5*x)^3)/(24*(2 + 3*x)^2) + (275*Sqrt[1 - 2*x]*(1123 + 4595*x))/13608 + (645865*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(6804*Sqrt[21])","A",8,6,24,0.2500,1,"{97, 12, 149, 147, 63, 206}"
1965,1,161,0,0.0623411,"\int \frac{(1-2 x)^{5/2} (3+5 x)^3}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(2 + 3*x)^6,x]","\frac{11 \sqrt{1-2 x} (5 x+3)^3}{9 (3 x+2)^3}+\frac{11 (1-2 x)^{3/2} (5 x+3)^3}{18 (3 x+2)^4}-\frac{(1-2 x)^{5/2} (5 x+3)^3}{15 (3 x+2)^5}-\frac{209 \sqrt{1-2 x} (5 x+3)^2}{756 (3 x+2)^2}-\frac{11 \sqrt{1-2 x} (6475 x+3911)}{15876 (3 x+2)}-\frac{146971 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{7938 \sqrt{21}}","\frac{11 \sqrt{1-2 x} (5 x+3)^3}{9 (3 x+2)^3}+\frac{11 (1-2 x)^{3/2} (5 x+3)^3}{18 (3 x+2)^4}-\frac{(1-2 x)^{5/2} (5 x+3)^3}{15 (3 x+2)^5}-\frac{209 \sqrt{1-2 x} (5 x+3)^2}{756 (3 x+2)^2}-\frac{11 \sqrt{1-2 x} (6475 x+3911)}{15876 (3 x+2)}-\frac{146971 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{7938 \sqrt{21}}",1,"(-209*Sqrt[1 - 2*x]*(3 + 5*x)^2)/(756*(2 + 3*x)^2) - ((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(15*(2 + 3*x)^5) + (11*(1 - 2*x)^(3/2)*(3 + 5*x)^3)/(18*(2 + 3*x)^4) + (11*Sqrt[1 - 2*x]*(3 + 5*x)^3)/(9*(2 + 3*x)^3) - (11*Sqrt[1 - 2*x]*(3911 + 6475*x))/(15876*(2 + 3*x)) - (146971*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(7938*Sqrt[21])","A",8,6,24,0.2500,1,"{97, 12, 149, 146, 63, 206}"
1966,1,162,0,0.0676559,"\int \frac{(1-2 x)^{5/2} (3+5 x)^3}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(2 + 3*x)^7,x]","\frac{11 (1-2 x)^{3/2} (5 x+3)^3}{27 (3 x+2)^5}-\frac{(1-2 x)^{5/2} (5 x+3)^3}{18 (3 x+2)^6}+\frac{559625 \sqrt{1-2 x}}{1333584 (3 x+2)}-\frac{559625 \sqrt{1-2 x}}{190512 (3 x+2)^2}+\frac{33275 (1-2 x)^{3/2}}{95256 (3 x+2)^3}-\frac{121 (1-2 x)^{3/2}}{4536 (3 x+2)^4}+\frac{559625 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{666792 \sqrt{21}}","\frac{11 (1-2 x)^{3/2} (5 x+3)^3}{27 (3 x+2)^5}-\frac{(1-2 x)^{5/2} (5 x+3)^3}{18 (3 x+2)^6}+\frac{559625 \sqrt{1-2 x}}{1333584 (3 x+2)}-\frac{559625 \sqrt{1-2 x}}{190512 (3 x+2)^2}+\frac{33275 (1-2 x)^{3/2}}{95256 (3 x+2)^3}-\frac{121 (1-2 x)^{3/2}}{4536 (3 x+2)^4}+\frac{559625 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{666792 \sqrt{21}}",1,"(-121*(1 - 2*x)^(3/2))/(4536*(2 + 3*x)^4) + (33275*(1 - 2*x)^(3/2))/(95256*(2 + 3*x)^3) - (559625*Sqrt[1 - 2*x])/(190512*(2 + 3*x)^2) + (559625*Sqrt[1 - 2*x])/(1333584*(2 + 3*x)) - ((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(18*(2 + 3*x)^6) + (11*(1 - 2*x)^(3/2)*(3 + 5*x)^3)/(27*(2 + 3*x)^5) + (559625*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(666792*Sqrt[21])","A",10,9,24,0.3750,1,"{97, 12, 149, 89, 78, 47, 51, 63, 206}"
1967,1,181,0,0.0747664,"\int \frac{(1-2 x)^{5/2} (3+5 x)^3}{(2+3 x)^8} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(2 + 3*x)^8,x]","\frac{11 \sqrt{1-2 x} (5 x+3)^3}{7 (3 x+2)^5}+\frac{55 (1-2 x)^{3/2} (5 x+3)^3}{189 (3 x+2)^6}-\frac{(1-2 x)^{5/2} (5 x+3)^3}{21 (3 x+2)^7}-\frac{3223 \sqrt{1-2 x} (5 x+3)^2}{2646 (3 x+2)^4}-\frac{11 \sqrt{1-2 x} (301765 x+187704)}{333396 (3 x+2)^3}+\frac{33935 \sqrt{1-2 x}}{2333772 (3 x+2)}+\frac{33935 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1166886 \sqrt{21}}","\frac{11 \sqrt{1-2 x} (5 x+3)^3}{7 (3 x+2)^5}+\frac{55 (1-2 x)^{3/2} (5 x+3)^3}{189 (3 x+2)^6}-\frac{(1-2 x)^{5/2} (5 x+3)^3}{21 (3 x+2)^7}-\frac{3223 \sqrt{1-2 x} (5 x+3)^2}{2646 (3 x+2)^4}-\frac{11 \sqrt{1-2 x} (301765 x+187704)}{333396 (3 x+2)^3}+\frac{33935 \sqrt{1-2 x}}{2333772 (3 x+2)}+\frac{33935 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1166886 \sqrt{21}}",1,"(33935*Sqrt[1 - 2*x])/(2333772*(2 + 3*x)) - (3223*Sqrt[1 - 2*x]*(3 + 5*x)^2)/(2646*(2 + 3*x)^4) - ((1 - 2*x)^(5/2)*(3 + 5*x)^3)/(21*(2 + 3*x)^7) + (55*(1 - 2*x)^(3/2)*(3 + 5*x)^3)/(189*(2 + 3*x)^6) + (11*Sqrt[1 - 2*x]*(3 + 5*x)^3)/(7*(2 + 3*x)^5) - (11*Sqrt[1 - 2*x]*(187704 + 301765*x))/(333396*(2 + 3*x)^3) + (33935*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(1166886*Sqrt[21])","A",9,7,24,0.2917,1,"{97, 12, 149, 145, 51, 63, 206}"
1968,1,121,0,0.0416802,"\int \frac{(1-2 x)^{5/2} (2+3 x)^4}{3+5 x} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^4)/(3 + 5*x),x]","\frac{81}{520} (1-2 x)^{13/2}-\frac{2889 (1-2 x)^{11/2}}{2200}+\frac{3819 (1-2 x)^{9/2}}{1000}-\frac{136419 (1-2 x)^{7/2}}{35000}+\frac{2 (1-2 x)^{5/2}}{15625}+\frac{22 (1-2 x)^{3/2}}{46875}+\frac{242 \sqrt{1-2 x}}{78125}-\frac{242 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{78125}","\frac{81}{520} (1-2 x)^{13/2}-\frac{2889 (1-2 x)^{11/2}}{2200}+\frac{3819 (1-2 x)^{9/2}}{1000}-\frac{136419 (1-2 x)^{7/2}}{35000}+\frac{2 (1-2 x)^{5/2}}{15625}+\frac{22 (1-2 x)^{3/2}}{46875}+\frac{242 \sqrt{1-2 x}}{78125}-\frac{242 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{78125}",1,"(242*Sqrt[1 - 2*x])/78125 + (22*(1 - 2*x)^(3/2))/46875 + (2*(1 - 2*x)^(5/2))/15625 - (136419*(1 - 2*x)^(7/2))/35000 + (3819*(1 - 2*x)^(9/2))/1000 - (2889*(1 - 2*x)^(11/2))/2200 + (81*(1 - 2*x)^(13/2))/520 - (242*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/78125","A",7,4,24,0.1667,1,"{88, 50, 63, 206}"
1969,1,108,0,0.037433,"\int \frac{(1-2 x)^{5/2} (2+3 x)^3}{3+5 x} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^3)/(3 + 5*x),x]","-\frac{27}{220} (1-2 x)^{11/2}+\frac{18}{25} (1-2 x)^{9/2}-\frac{3897 (1-2 x)^{7/2}}{3500}+\frac{2 (1-2 x)^{5/2}}{3125}+\frac{22 (1-2 x)^{3/2}}{9375}+\frac{242 \sqrt{1-2 x}}{15625}-\frac{242 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15625}","-\frac{27}{220} (1-2 x)^{11/2}+\frac{18}{25} (1-2 x)^{9/2}-\frac{3897 (1-2 x)^{7/2}}{3500}+\frac{2 (1-2 x)^{5/2}}{3125}+\frac{22 (1-2 x)^{3/2}}{9375}+\frac{242 \sqrt{1-2 x}}{15625}-\frac{242 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15625}",1,"(242*Sqrt[1 - 2*x])/15625 + (22*(1 - 2*x)^(3/2))/9375 + (2*(1 - 2*x)^(5/2))/3125 - (3897*(1 - 2*x)^(7/2))/3500 + (18*(1 - 2*x)^(9/2))/25 - (27*(1 - 2*x)^(11/2))/220 - (242*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/15625","A",7,4,24,0.1667,1,"{88, 50, 63, 206}"
1970,1,95,0,0.0345988,"\int \frac{(1-2 x)^{5/2} (2+3 x)^2}{3+5 x} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^2)/(3 + 5*x),x]","\frac{1}{10} (1-2 x)^{9/2}-\frac{111}{350} (1-2 x)^{7/2}+\frac{2}{625} (1-2 x)^{5/2}+\frac{22 (1-2 x)^{3/2}}{1875}+\frac{242 \sqrt{1-2 x}}{3125}-\frac{242 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125}","\frac{1}{10} (1-2 x)^{9/2}-\frac{111}{350} (1-2 x)^{7/2}+\frac{2}{625} (1-2 x)^{5/2}+\frac{22 (1-2 x)^{3/2}}{1875}+\frac{242 \sqrt{1-2 x}}{3125}-\frac{242 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125}",1,"(242*Sqrt[1 - 2*x])/3125 + (22*(1 - 2*x)^(3/2))/1875 + (2*(1 - 2*x)^(5/2))/625 - (111*(1 - 2*x)^(7/2))/350 + (1 - 2*x)^(9/2)/10 - (242*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/3125","A",7,4,24,0.1667,1,"{88, 50, 63, 206}"
1971,1,82,0,0.0225279,"\int \frac{(1-2 x)^{5/2} (2+3 x)}{3+5 x} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x))/(3 + 5*x),x]","-\frac{3}{35} (1-2 x)^{7/2}+\frac{2}{125} (1-2 x)^{5/2}+\frac{22}{375} (1-2 x)^{3/2}+\frac{242}{625} \sqrt{1-2 x}-\frac{242}{625} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{3}{35} (1-2 x)^{7/2}+\frac{2}{125} (1-2 x)^{5/2}+\frac{22}{375} (1-2 x)^{3/2}+\frac{242}{625} \sqrt{1-2 x}-\frac{242}{625} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(242*Sqrt[1 - 2*x])/625 + (22*(1 - 2*x)^(3/2))/375 + (2*(1 - 2*x)^(5/2))/125 - (3*(1 - 2*x)^(7/2))/35 - (242*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/625","A",6,4,22,0.1818,1,"{80, 50, 63, 206}"
1972,1,69,0,0.0169833,"\int \frac{(1-2 x)^{5/2}}{3+5 x} \, dx","Int[(1 - 2*x)^(5/2)/(3 + 5*x),x]","\frac{2}{25} (1-2 x)^{5/2}+\frac{22}{75} (1-2 x)^{3/2}+\frac{242}{125} \sqrt{1-2 x}-\frac{242}{125} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{2}{25} (1-2 x)^{5/2}+\frac{22}{75} (1-2 x)^{3/2}+\frac{242}{125} \sqrt{1-2 x}-\frac{242}{125} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(242*Sqrt[1 - 2*x])/125 + (22*(1 - 2*x)^(3/2))/75 + (2*(1 - 2*x)^(5/2))/25 - (242*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/125","A",5,3,17,0.1765,1,"{50, 63, 206}"
1973,1,85,0,0.033054,"\int \frac{(1-2 x)^{5/2}}{(2+3 x) (3+5 x)} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)*(3 + 5*x)),x]","-\frac{4}{45} (1-2 x)^{3/2}-\frac{272}{225} \sqrt{1-2 x}+\frac{98}{9} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{242}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{4}{45} (1-2 x)^{3/2}-\frac{272}{225} \sqrt{1-2 x}+\frac{98}{9} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{242}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-272*Sqrt[1 - 2*x])/225 - (4*(1 - 2*x)^(3/2))/45 + (98*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/9 - (242*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/25","A",7,5,24,0.2083,1,"{84, 154, 156, 63, 206}"
1974,1,92,0,0.03425,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^2 (3+5 x)} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^2*(3 + 5*x)),x]","\frac{7 (1-2 x)^{3/2}}{3 (3 x+2)}+\frac{26}{15} \sqrt{1-2 x}+\frac{140}{3} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{242}{5} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{3 (3 x+2)}+\frac{26}{15} \sqrt{1-2 x}+\frac{140}{3} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{242}{5} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(26*Sqrt[1 - 2*x])/15 + (7*(1 - 2*x)^(3/2))/(3*(2 + 3*x)) + (140*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/3 - (242*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/5","A",7,5,24,0.2083,1,"{98, 154, 156, 63, 206}"
1975,1,95,0,0.0364551,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^3 (3+5 x)} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^3*(3 + 5*x)),x]","\frac{7 (1-2 x)^{3/2}}{6 (3 x+2)^2}+\frac{49 \sqrt{1-2 x}}{2 (3 x+2)}+235 \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-242 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{6 (3 x+2)^2}+\frac{49 \sqrt{1-2 x}}{2 (3 x+2)}+235 \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-242 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(7*(1 - 2*x)^(3/2))/(6*(2 + 3*x)^2) + (49*Sqrt[1 - 2*x])/(2*(2 + 3*x)) + 235*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] - 242*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",7,5,24,0.2083,1,"{98, 149, 156, 63, 206}"
1976,1,113,0,0.0441255,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^4 (3+5 x)} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^4*(3 + 5*x)),x]","\frac{7 (1-2 x)^{3/2}}{9 (3 x+2)^3}+\frac{1073 \sqrt{1-2 x}}{9 (3 x+2)}+\frac{112 \sqrt{1-2 x}}{9 (3 x+2)^2}+\frac{74020 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9 \sqrt{21}}-242 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{9 (3 x+2)^3}+\frac{1073 \sqrt{1-2 x}}{9 (3 x+2)}+\frac{112 \sqrt{1-2 x}}{9 (3 x+2)^2}+\frac{74020 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9 \sqrt{21}}-242 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(7*(1 - 2*x)^(3/2))/(9*(2 + 3*x)^3) + (112*Sqrt[1 - 2*x])/(9*(2 + 3*x)^2) + (1073*Sqrt[1 - 2*x])/(9*(2 + 3*x)) + (74020*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(9*Sqrt[21]) - 242*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",8,6,24,0.2500,1,"{98, 149, 151, 156, 63, 206}"
1977,1,133,0,0.0572156,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^5 (3+5 x)} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^5*(3 + 5*x)),x]","\frac{7 (1-2 x)^{3/2}}{12 (3 x+2)^4}+\frac{100145 \sqrt{1-2 x}}{168 (3 x+2)}+\frac{4313 \sqrt{1-2 x}}{72 (3 x+2)^2}+\frac{301 \sqrt{1-2 x}}{36 (3 x+2)^3}+\frac{3454265 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{84 \sqrt{21}}-1210 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{12 (3 x+2)^4}+\frac{100145 \sqrt{1-2 x}}{168 (3 x+2)}+\frac{4313 \sqrt{1-2 x}}{72 (3 x+2)^2}+\frac{301 \sqrt{1-2 x}}{36 (3 x+2)^3}+\frac{3454265 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{84 \sqrt{21}}-1210 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(7*(1 - 2*x)^(3/2))/(12*(2 + 3*x)^4) + (301*Sqrt[1 - 2*x])/(36*(2 + 3*x)^3) + (4313*Sqrt[1 - 2*x])/(72*(2 + 3*x)^2) + (100145*Sqrt[1 - 2*x])/(168*(2 + 3*x)) + (3454265*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(84*Sqrt[21]) - 1210*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",9,6,24,0.2500,1,"{98, 149, 151, 156, 63, 206}"
1978,1,153,0,0.0687126,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^6 (3+5 x)} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^6*(3 + 5*x)),x]","\frac{7 (1-2 x)^{3/2}}{15 (3 x+2)^5}+\frac{584179 \sqrt{1-2 x}}{196 (3 x+2)}+\frac{25159 \sqrt{1-2 x}}{84 (3 x+2)^2}+\frac{1201 \sqrt{1-2 x}}{30 (3 x+2)^3}+\frac{63 \sqrt{1-2 x}}{10 (3 x+2)^4}+\frac{20149879 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{98 \sqrt{21}}-6050 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{15 (3 x+2)^5}+\frac{584179 \sqrt{1-2 x}}{196 (3 x+2)}+\frac{25159 \sqrt{1-2 x}}{84 (3 x+2)^2}+\frac{1201 \sqrt{1-2 x}}{30 (3 x+2)^3}+\frac{63 \sqrt{1-2 x}}{10 (3 x+2)^4}+\frac{20149879 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{98 \sqrt{21}}-6050 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(7*(1 - 2*x)^(3/2))/(15*(2 + 3*x)^5) + (63*Sqrt[1 - 2*x])/(10*(2 + 3*x)^4) + (1201*Sqrt[1 - 2*x])/(30*(2 + 3*x)^3) + (25159*Sqrt[1 - 2*x])/(84*(2 + 3*x)^2) + (584179*Sqrt[1 - 2*x])/(196*(2 + 3*x)) + (20149879*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(98*Sqrt[21]) - 6050*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",10,6,24,0.2500,1,"{98, 149, 151, 156, 63, 206}"
1979,1,173,0,0.0843072,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^7 (3+5 x)} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^7*(3 + 5*x)),x]","\frac{7 (1-2 x)^{3/2}}{18 (3 x+2)^6}+\frac{736065535 \sqrt{1-2 x}}{49392 (3 x+2)}+\frac{31700335 \sqrt{1-2 x}}{21168 (3 x+2)^2}+\frac{302651 \sqrt{1-2 x}}{1512 (3 x+2)^3}+\frac{2165 \sqrt{1-2 x}}{72 (3 x+2)^4}+\frac{91 \sqrt{1-2 x}}{18 (3 x+2)^5}+\frac{25388847535 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{24696 \sqrt{21}}-30250 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{18 (3 x+2)^6}+\frac{736065535 \sqrt{1-2 x}}{49392 (3 x+2)}+\frac{31700335 \sqrt{1-2 x}}{21168 (3 x+2)^2}+\frac{302651 \sqrt{1-2 x}}{1512 (3 x+2)^3}+\frac{2165 \sqrt{1-2 x}}{72 (3 x+2)^4}+\frac{91 \sqrt{1-2 x}}{18 (3 x+2)^5}+\frac{25388847535 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{24696 \sqrt{21}}-30250 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(7*(1 - 2*x)^(3/2))/(18*(2 + 3*x)^6) + (91*Sqrt[1 - 2*x])/(18*(2 + 3*x)^5) + (2165*Sqrt[1 - 2*x])/(72*(2 + 3*x)^4) + (302651*Sqrt[1 - 2*x])/(1512*(2 + 3*x)^3) + (31700335*Sqrt[1 - 2*x])/(21168*(2 + 3*x)^2) + (736065535*Sqrt[1 - 2*x])/(49392*(2 + 3*x)) + (25388847535*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(24696*Sqrt[21]) - 30250*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",11,6,24,0.2500,1,"{98, 149, 151, 156, 63, 206}"
1980,1,141,0,0.0519603,"\int \frac{(1-2 x)^{5/2} (2+3 x)^4}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^4)/(3 + 5*x)^2,x]","-\frac{(1-2 x)^{5/2} (3 x+2)^4}{5 (5 x+3)}+\frac{39}{275} (1-2 x)^{5/2} (3 x+2)^3-\frac{32 (1-2 x)^{5/2} (3 x+2)^2}{4125}+\frac{254 (1-2 x)^{3/2}}{46875}-\frac{(1-2 x)^{5/2} (1110975 x+1347116)}{3609375}+\frac{2794 \sqrt{1-2 x}}{78125}-\frac{2794 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{78125}","-\frac{(1-2 x)^{5/2} (3 x+2)^4}{5 (5 x+3)}+\frac{39}{275} (1-2 x)^{5/2} (3 x+2)^3-\frac{32 (1-2 x)^{5/2} (3 x+2)^2}{4125}+\frac{254 (1-2 x)^{3/2}}{46875}-\frac{(1-2 x)^{5/2} (1110975 x+1347116)}{3609375}+\frac{2794 \sqrt{1-2 x}}{78125}-\frac{2794 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{78125}",1,"(2794*Sqrt[1 - 2*x])/78125 + (254*(1 - 2*x)^(3/2))/46875 - (32*(1 - 2*x)^(5/2)*(2 + 3*x)^2)/4125 + (39*(1 - 2*x)^(5/2)*(2 + 3*x)^3)/275 - ((1 - 2*x)^(5/2)*(2 + 3*x)^4)/(5*(3 + 5*x)) - ((1 - 2*x)^(5/2)*(1347116 + 1110975*x))/3609375 - (2794*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/78125","A",8,6,24,0.2500,1,"{97, 153, 147, 50, 63, 206}"
1981,1,121,0,0.0396276,"\int \frac{(1-2 x)^{5/2} (2+3 x)^3}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^3)/(3 + 5*x)^2,x]","-\frac{(1-2 x)^{5/2} (3 x+2)^3}{5 (5 x+3)}+\frac{11}{75} (1-2 x)^{5/2} (3 x+2)^2+\frac{188 (1-2 x)^{3/2}}{9375}-\frac{2 (1-2 x)^{5/2} (2850 x+6191)}{65625}+\frac{2068 \sqrt{1-2 x}}{15625}-\frac{2068 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15625}","-\frac{(1-2 x)^{5/2} (3 x+2)^3}{5 (5 x+3)}+\frac{11}{75} (1-2 x)^{5/2} (3 x+2)^2+\frac{188 (1-2 x)^{3/2}}{9375}-\frac{2 (1-2 x)^{5/2} (2850 x+6191)}{65625}+\frac{2068 \sqrt{1-2 x}}{15625}-\frac{2068 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15625}",1,"(2068*Sqrt[1 - 2*x])/15625 + (188*(1 - 2*x)^(3/2))/9375 + (11*(1 - 2*x)^(5/2)*(2 + 3*x)^2)/75 - ((1 - 2*x)^(5/2)*(2 + 3*x)^3)/(5*(3 + 5*x)) - (2*(1 - 2*x)^(5/2)*(6191 + 2850*x))/65625 - (2068*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/15625","A",7,6,24,0.2500,1,"{97, 153, 147, 50, 63, 206}"
1982,1,102,0,0.0294716,"\int \frac{(1-2 x)^{5/2} (2+3 x)^2}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^2)/(3 + 5*x)^2,x]","-\frac{(1-2 x)^{7/2}}{275 (5 x+3)}-\frac{9}{175} (1-2 x)^{7/2}+\frac{122 (1-2 x)^{5/2}}{6875}+\frac{122 (1-2 x)^{3/2}}{1875}+\frac{1342 \sqrt{1-2 x}}{3125}-\frac{1342 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125}","-\frac{(1-2 x)^{7/2}}{275 (5 x+3)}-\frac{9}{175} (1-2 x)^{7/2}+\frac{122 (1-2 x)^{5/2}}{6875}+\frac{122 (1-2 x)^{3/2}}{1875}+\frac{1342 \sqrt{1-2 x}}{3125}-\frac{1342 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125}",1,"(1342*Sqrt[1 - 2*x])/3125 + (122*(1 - 2*x)^(3/2))/1875 + (122*(1 - 2*x)^(5/2))/6875 - (9*(1 - 2*x)^(7/2))/175 - (1 - 2*x)^(7/2)/(275*(3 + 5*x)) - (1342*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/3125","A",7,5,24,0.2083,1,"{89, 80, 50, 63, 206}"
1983,1,89,0,0.0247181,"\int \frac{(1-2 x)^{5/2} (2+3 x)}{(3+5 x)^2} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x))/(3 + 5*x)^2,x]","-\frac{(1-2 x)^{7/2}}{55 (5 x+3)}+\frac{56 (1-2 x)^{5/2}}{1375}+\frac{56}{375} (1-2 x)^{3/2}+\frac{616}{625} \sqrt{1-2 x}-\frac{616}{625} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{(1-2 x)^{7/2}}{55 (5 x+3)}+\frac{56 (1-2 x)^{5/2}}{1375}+\frac{56}{375} (1-2 x)^{3/2}+\frac{616}{625} \sqrt{1-2 x}-\frac{616}{625} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(616*Sqrt[1 - 2*x])/625 + (56*(1 - 2*x)^(3/2))/375 + (56*(1 - 2*x)^(5/2))/1375 - (1 - 2*x)^(7/2)/(55*(3 + 5*x)) - (616*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/625","A",6,4,22,0.1818,1,"{78, 50, 63, 206}"
1984,1,76,0,0.0206487,"\int \frac{(1-2 x)^{5/2}}{(3+5 x)^2} \, dx","Int[(1 - 2*x)^(5/2)/(3 + 5*x)^2,x]","-\frac{(1-2 x)^{5/2}}{5 (5 x+3)}-\frac{2}{15} (1-2 x)^{3/2}-\frac{22}{25} \sqrt{1-2 x}+\frac{22}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{(1-2 x)^{5/2}}{5 (5 x+3)}-\frac{2}{15} (1-2 x)^{3/2}-\frac{22}{25} \sqrt{1-2 x}+\frac{22}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-22*Sqrt[1 - 2*x])/25 - (2*(1 - 2*x)^(3/2))/15 - (1 - 2*x)^(5/2)/(5*(3 + 5*x)) + (22*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/25","A",5,4,17,0.2353,1,"{47, 50, 63, 206}"
1985,1,92,0,0.0392994,"\int \frac{(1-2 x)^{5/2}}{(2+3 x) (3+5 x)^2} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)*(3 + 5*x)^2),x]","-\frac{11 (1-2 x)^{3/2}}{5 (5 x+3)}-\frac{58}{75} \sqrt{1-2 x}-\frac{98}{3} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{836}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{11 (1-2 x)^{3/2}}{5 (5 x+3)}-\frac{58}{75} \sqrt{1-2 x}-\frac{98}{3} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{836}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-58*Sqrt[1 - 2*x])/75 - (11*(1 - 2*x)^(3/2))/(5*(3 + 5*x)) - (98*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/3 + (836*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/25","A",7,5,24,0.2083,1,"{98, 154, 156, 63, 206}"
1986,1,106,0,0.0345304,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^2 (3+5 x)^2} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^2*(3 + 5*x)^2),x]","\frac{7 (1-2 x)^{3/2}}{3 (3 x+2) (5 x+3)}-\frac{748 \sqrt{1-2 x}}{15 (5 x+3)}-\frac{910}{3} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{1562}{5} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{3 (3 x+2) (5 x+3)}-\frac{748 \sqrt{1-2 x}}{15 (5 x+3)}-\frac{910}{3} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{1562}{5} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-748*Sqrt[1 - 2*x])/(15*(3 + 5*x)) + (7*(1 - 2*x)^(3/2))/(3*(2 + 3*x)*(3 + 5*x)) - (910*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/3 + (1562*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/5","A",7,5,24,0.2083,1,"{98, 149, 156, 63, 206}"
1987,1,131,0,0.0474062,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^3 (3+5 x)^2} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^3*(3 + 5*x)^2),x]","\frac{7 (1-2 x)^{3/2}}{6 (3 x+2)^2 (5 x+3)}+\frac{343 \sqrt{1-2 x}}{9 (3 x+2) (5 x+3)}-\frac{6763 \sqrt{1-2 x}}{18 (5 x+3)}-\frac{6665}{3} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+2288 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{6 (3 x+2)^2 (5 x+3)}+\frac{343 \sqrt{1-2 x}}{9 (3 x+2) (5 x+3)}-\frac{6763 \sqrt{1-2 x}}{18 (5 x+3)}-\frac{6665}{3} \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+2288 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-6763*Sqrt[1 - 2*x])/(18*(3 + 5*x)) + (7*(1 - 2*x)^(3/2))/(6*(2 + 3*x)^2*(3 + 5*x)) + (343*Sqrt[1 - 2*x])/(9*(2 + 3*x)*(3 + 5*x)) - (6665*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/3 + 2288*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",8,6,24,0.2500,1,"{98, 149, 151, 156, 63, 206}"
1988,1,154,0,0.0622437,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^4 (3+5 x)^2} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^4*(3 + 5*x)^2),x]","\frac{7 (1-2 x)^{3/2}}{9 (3 x+2)^3 (5 x+3)}+\frac{6649 \sqrt{1-2 x}}{27 (3 x+2) (5 x+3)}+\frac{917 \sqrt{1-2 x}}{54 (3 x+2)^2 (5 x+3)}-\frac{44545 \sqrt{1-2 x}}{18 (5 x+3)}-\frac{307295 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{3 \sqrt{21}}+3014 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{9 (3 x+2)^3 (5 x+3)}+\frac{6649 \sqrt{1-2 x}}{27 (3 x+2) (5 x+3)}+\frac{917 \sqrt{1-2 x}}{54 (3 x+2)^2 (5 x+3)}-\frac{44545 \sqrt{1-2 x}}{18 (5 x+3)}-\frac{307295 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{3 \sqrt{21}}+3014 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-44545*Sqrt[1 - 2*x])/(18*(3 + 5*x)) + (7*(1 - 2*x)^(3/2))/(9*(2 + 3*x)^3*(3 + 5*x)) + (917*Sqrt[1 - 2*x])/(54*(2 + 3*x)^2*(3 + 5*x)) + (6649*Sqrt[1 - 2*x])/(27*(2 + 3*x)*(3 + 5*x)) - (307295*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(3*Sqrt[21]) + 3014*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",9,6,24,0.2500,1,"{98, 149, 151, 156, 63, 206}"
1989,1,181,0,0.0756392,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^5 (3+5 x)^2} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^5*(3 + 5*x)^2),x]","\frac{7 (1-2 x)^{3/2}}{12 (3 x+2)^4 (5 x+3)}+\frac{288770 \sqrt{1-2 x}}{189 (3 x+2) (5 x+3)}+\frac{22109 \sqrt{1-2 x}}{216 (3 x+2)^2 (5 x+3)}+\frac{287 \sqrt{1-2 x}}{27 (3 x+2)^3 (5 x+3)}-\frac{7738475 \sqrt{1-2 x}}{504 (5 x+3)}-\frac{53384095 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{84 \sqrt{21}}+18700 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{12 (3 x+2)^4 (5 x+3)}+\frac{288770 \sqrt{1-2 x}}{189 (3 x+2) (5 x+3)}+\frac{22109 \sqrt{1-2 x}}{216 (3 x+2)^2 (5 x+3)}+\frac{287 \sqrt{1-2 x}}{27 (3 x+2)^3 (5 x+3)}-\frac{7738475 \sqrt{1-2 x}}{504 (5 x+3)}-\frac{53384095 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{84 \sqrt{21}}+18700 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-7738475*Sqrt[1 - 2*x])/(504*(3 + 5*x)) + (7*(1 - 2*x)^(3/2))/(12*(2 + 3*x)^4*(3 + 5*x)) + (287*Sqrt[1 - 2*x])/(27*(2 + 3*x)^3*(3 + 5*x)) + (22109*Sqrt[1 - 2*x])/(216*(2 + 3*x)^2*(3 + 5*x)) + (288770*Sqrt[1 - 2*x])/(189*(2 + 3*x)*(3 + 5*x)) - (53384095*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(84*Sqrt[21]) + 18700*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",10,6,24,0.2500,1,"{98, 149, 151, 156, 63, 206}"
1990,1,208,0,0.0930197,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^6 (3+5 x)^2} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^6*(3 + 5*x)^2),x]","\frac{7 (1-2 x)^{3/2}}{15 (3 x+2)^5 (5 x+3)}+\frac{12068887 \sqrt{1-2 x}}{1323 (3 x+2) (5 x+3)}+\frac{924025 \sqrt{1-2 x}}{1512 (3 x+2)^2 (5 x+3)}+\frac{16549 \sqrt{1-2 x}}{270 (3 x+2)^3 (5 x+3)}+\frac{1379 \sqrt{1-2 x}}{180 (3 x+2)^4 (5 x+3)}-\frac{323422735 \sqrt{1-2 x}}{3528 (5 x+3)}-\frac{2231141147 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{588 \sqrt{21}}+111650 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{15 (3 x+2)^5 (5 x+3)}+\frac{12068887 \sqrt{1-2 x}}{1323 (3 x+2) (5 x+3)}+\frac{924025 \sqrt{1-2 x}}{1512 (3 x+2)^2 (5 x+3)}+\frac{16549 \sqrt{1-2 x}}{270 (3 x+2)^3 (5 x+3)}+\frac{1379 \sqrt{1-2 x}}{180 (3 x+2)^4 (5 x+3)}-\frac{323422735 \sqrt{1-2 x}}{3528 (5 x+3)}-\frac{2231141147 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{588 \sqrt{21}}+111650 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-323422735*Sqrt[1 - 2*x])/(3528*(3 + 5*x)) + (7*(1 - 2*x)^(3/2))/(15*(2 + 3*x)^5*(3 + 5*x)) + (1379*Sqrt[1 - 2*x])/(180*(2 + 3*x)^4*(3 + 5*x)) + (16549*Sqrt[1 - 2*x])/(270*(2 + 3*x)^3*(3 + 5*x)) + (924025*Sqrt[1 - 2*x])/(1512*(2 + 3*x)^2*(3 + 5*x)) + (12068887*Sqrt[1 - 2*x])/(1323*(2 + 3*x)*(3 + 5*x)) - (2231141147*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(588*Sqrt[21]) + 111650*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",11,6,24,0.2500,1,"{98, 149, 151, 156, 63, 206}"
1991,1,155,0,0.056334,"\int \frac{(1-2 x)^{5/2} (2+3 x)^4}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^4)/(3 + 5*x)^3,x]","-\frac{127 (1-2 x)^{3/2} (3 x+2)^4}{50 (5 x+3)}-\frac{(1-2 x)^{5/2} (3 x+2)^4}{10 (5 x+3)^2}+\frac{1117}{750} (1-2 x)^{3/2} (3 x+2)^3+\frac{1903 (1-2 x)^{3/2} (3 x+2)^2}{4375}+\frac{(1-2 x)^{3/2} (24939 x+734)}{93750}+\frac{11763 \sqrt{1-2 x}}{78125}-\frac{11763 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{78125}","-\frac{127 (1-2 x)^{3/2} (3 x+2)^4}{50 (5 x+3)}-\frac{(1-2 x)^{5/2} (3 x+2)^4}{10 (5 x+3)^2}+\frac{1117}{750} (1-2 x)^{3/2} (3 x+2)^3+\frac{1903 (1-2 x)^{3/2} (3 x+2)^2}{4375}+\frac{(1-2 x)^{3/2} (24939 x+734)}{93750}+\frac{11763 \sqrt{1-2 x}}{78125}-\frac{11763 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{78125}",1,"(11763*Sqrt[1 - 2*x])/78125 + (1903*(1 - 2*x)^(3/2)*(2 + 3*x)^2)/4375 + (1117*(1 - 2*x)^(3/2)*(2 + 3*x)^3)/750 - ((1 - 2*x)^(5/2)*(2 + 3*x)^4)/(10*(3 + 5*x)^2) - (127*(1 - 2*x)^(3/2)*(2 + 3*x)^4)/(50*(3 + 5*x)) + ((1 - 2*x)^(3/2)*(734 + 24939*x))/93750 - (11763*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/78125","A",8,7,24,0.2917,1,"{97, 149, 153, 147, 50, 63, 206}"
1992,1,135,0,0.0433697,"\int \frac{(1-2 x)^{5/2} (2+3 x)^3}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^3)/(3 + 5*x)^3,x]","-\frac{47 (1-2 x)^{3/2} (3 x+2)^3}{25 (5 x+3)}-\frac{(1-2 x)^{5/2} (3 x+2)^3}{10 (5 x+3)^2}+\frac{954}{875} (1-2 x)^{3/2} (3 x+2)^2+\frac{3 (1-2 x)^{3/2} (2403 x+1618)}{6250}+\frac{5559 \sqrt{1-2 x}}{15625}-\frac{5559 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15625}","-\frac{47 (1-2 x)^{3/2} (3 x+2)^3}{25 (5 x+3)}-\frac{(1-2 x)^{5/2} (3 x+2)^3}{10 (5 x+3)^2}+\frac{954}{875} (1-2 x)^{3/2} (3 x+2)^2+\frac{3 (1-2 x)^{3/2} (2403 x+1618)}{6250}+\frac{5559 \sqrt{1-2 x}}{15625}-\frac{5559 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15625}",1,"(5559*Sqrt[1 - 2*x])/15625 + (954*(1 - 2*x)^(3/2)*(2 + 3*x)^2)/875 - ((1 - 2*x)^(5/2)*(2 + 3*x)^3)/(10*(3 + 5*x)^2) - (47*(1 - 2*x)^(3/2)*(2 + 3*x)^3)/(25*(3 + 5*x)) + (3*(1 - 2*x)^(3/2)*(1618 + 2403*x))/6250 - (5559*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/15625","A",7,7,24,0.2917,1,"{97, 149, 153, 147, 50, 63, 206}"
1993,1,109,0,0.0317155,"\int \frac{(1-2 x)^{5/2} (2+3 x)^2}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^2)/(3 + 5*x)^3,x]","-\frac{129 (1-2 x)^{7/2}}{6050 (5 x+3)}-\frac{(1-2 x)^{7/2}}{550 (5 x+3)^2}+\frac{1533 (1-2 x)^{5/2}}{75625}+\frac{511 (1-2 x)^{3/2}}{6875}+\frac{1533 \sqrt{1-2 x}}{3125}-\frac{1533 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125}","-\frac{129 (1-2 x)^{7/2}}{6050 (5 x+3)}-\frac{(1-2 x)^{7/2}}{550 (5 x+3)^2}+\frac{1533 (1-2 x)^{5/2}}{75625}+\frac{511 (1-2 x)^{3/2}}{6875}+\frac{1533 \sqrt{1-2 x}}{3125}-\frac{1533 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125}",1,"(1533*Sqrt[1 - 2*x])/3125 + (511*(1 - 2*x)^(3/2))/6875 + (1533*(1 - 2*x)^(5/2))/75625 - (1 - 2*x)^(7/2)/(550*(3 + 5*x)^2) - (129*(1 - 2*x)^(7/2))/(6050*(3 + 5*x)) - (1533*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/3125","A",7,5,24,0.2083,1,"{89, 78, 50, 63, 206}"
1994,1,96,0,0.021367,"\int \frac{(1-2 x)^{5/2} (2+3 x)}{(3+5 x)^3} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x))/(3 + 5*x)^3,x]","-\frac{(1-2 x)^{7/2}}{110 (5 x+3)^2}-\frac{63 (1-2 x)^{5/2}}{550 (5 x+3)}-\frac{21}{275} (1-2 x)^{3/2}-\frac{63}{125} \sqrt{1-2 x}+\frac{63}{125} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{(1-2 x)^{7/2}}{110 (5 x+3)^2}-\frac{63 (1-2 x)^{5/2}}{550 (5 x+3)}-\frac{21}{275} (1-2 x)^{3/2}-\frac{63}{125} \sqrt{1-2 x}+\frac{63}{125} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-63*Sqrt[1 - 2*x])/125 - (21*(1 - 2*x)^(3/2))/275 - (1 - 2*x)^(7/2)/(110*(3 + 5*x)^2) - (63*(1 - 2*x)^(5/2))/(550*(3 + 5*x)) + (63*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/125","A",6,5,22,0.2273,1,"{78, 47, 50, 63, 206}"
1995,1,83,0,0.01817,"\int \frac{(1-2 x)^{5/2}}{(3+5 x)^3} \, dx","Int[(1 - 2*x)^(5/2)/(3 + 5*x)^3,x]","-\frac{(1-2 x)^{5/2}}{10 (5 x+3)^2}+\frac{(1-2 x)^{3/2}}{10 (5 x+3)}+\frac{3}{25} \sqrt{1-2 x}-\frac{3}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{(1-2 x)^{5/2}}{10 (5 x+3)^2}+\frac{(1-2 x)^{3/2}}{10 (5 x+3)}+\frac{3}{25} \sqrt{1-2 x}-\frac{3}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(3*Sqrt[1 - 2*x])/25 - (1 - 2*x)^(5/2)/(10*(3 + 5*x)^2) + (1 - 2*x)^(3/2)/(10*(3 + 5*x)) - (3*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/25","A",5,4,17,0.2353,1,"{47, 50, 63, 206}"
1996,1,97,0,0.0334687,"\int \frac{(1-2 x)^{5/2}}{(2+3 x) (3+5 x)^3} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)*(3 + 5*x)^3),x]","-\frac{11 (1-2 x)^{3/2}}{10 (5 x+3)^2}+\frac{803 \sqrt{1-2 x}}{50 (5 x+3)}+98 \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{2523}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{11 (1-2 x)^{3/2}}{10 (5 x+3)^2}+\frac{803 \sqrt{1-2 x}}{50 (5 x+3)}+98 \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{2523}{25} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-11*(1 - 2*x)^(3/2))/(10*(3 + 5*x)^2) + (803*Sqrt[1 - 2*x])/(50*(3 + 5*x)) + 98*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] - (2523*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/25","A",7,5,24,0.2083,1,"{98, 149, 156, 63, 206}"
1997,1,124,0,0.0442867,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^2 (3+5 x)^3} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^2*(3 + 5*x)^3),x]","\frac{7 (1-2 x)^{3/2}}{3 (3 x+2) (5 x+3)^2}+\frac{7103 \sqrt{1-2 x}}{30 (5 x+3)}-\frac{1133 \sqrt{1-2 x}}{30 (5 x+3)^2}+1400 \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{7209}{5} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{3 (3 x+2) (5 x+3)^2}+\frac{7103 \sqrt{1-2 x}}{30 (5 x+3)}-\frac{1133 \sqrt{1-2 x}}{30 (5 x+3)^2}+1400 \sqrt{\frac{7}{3}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{7209}{5} \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-1133*Sqrt[1 - 2*x])/(30*(3 + 5*x)^2) + (7*(1 - 2*x)^(3/2))/(3*(2 + 3*x)*(3 + 5*x)^2) + (7103*Sqrt[1 - 2*x])/(30*(3 + 5*x)) + 1400*Sqrt[7/3]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] - (7209*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/5","A",8,6,24,0.2500,1,"{98, 149, 151, 156, 63, 206}"
1998,1,145,0,0.0575274,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^3 (3+5 x)^3} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^3*(3 + 5*x)^3),x]","\frac{7 (1-2 x)^{3/2}}{6 (3 x+2)^2 (5 x+3)^2}+\frac{2311 \sqrt{1-2 x}}{5 x+3}+\frac{931 \sqrt{1-2 x}}{18 (3 x+2) (5 x+3)^2}-\frac{6899 \sqrt{1-2 x}}{18 (5 x+3)^2}+4555 \sqrt{21} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-14073 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{6 (3 x+2)^2 (5 x+3)^2}+\frac{2311 \sqrt{1-2 x}}{5 x+3}+\frac{931 \sqrt{1-2 x}}{18 (3 x+2) (5 x+3)^2}-\frac{6899 \sqrt{1-2 x}}{18 (5 x+3)^2}+4555 \sqrt{21} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-14073 \sqrt{\frac{11}{5}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-6899*Sqrt[1 - 2*x])/(18*(3 + 5*x)^2) + (7*(1 - 2*x)^(3/2))/(6*(2 + 3*x)^2*(3 + 5*x)^2) + (931*Sqrt[1 - 2*x])/(18*(2 + 3*x)*(3 + 5*x)^2) + (2311*Sqrt[1 - 2*x])/(3 + 5*x) + 4555*Sqrt[21]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] - 14073*Sqrt[11/5]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",9,6,24,0.2500,1,"{98, 149, 151, 156, 63, 206}"
1999,1,172,0,0.0701064,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^4 (3+5 x)^3} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^4*(3 + 5*x)^3),x]","\frac{7 (1-2 x)^{3/2}}{9 (3 x+2)^3 (5 x+3)^2}+\frac{113875 \sqrt{1-2 x}}{6 (5 x+3)}+\frac{1256 \sqrt{1-2 x}}{3 (3 x+2) (5 x+3)^2}+\frac{581 \sqrt{1-2 x}}{27 (3 x+2)^2 (5 x+3)^2}-\frac{169975 \sqrt{1-2 x}}{54 (5 x+3)^2}+\frac{785570 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{\sqrt{21}}-23115 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{9 (3 x+2)^3 (5 x+3)^2}+\frac{113875 \sqrt{1-2 x}}{6 (5 x+3)}+\frac{1256 \sqrt{1-2 x}}{3 (3 x+2) (5 x+3)^2}+\frac{581 \sqrt{1-2 x}}{27 (3 x+2)^2 (5 x+3)^2}-\frac{169975 \sqrt{1-2 x}}{54 (5 x+3)^2}+\frac{785570 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{\sqrt{21}}-23115 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-169975*Sqrt[1 - 2*x])/(54*(3 + 5*x)^2) + (7*(1 - 2*x)^(3/2))/(9*(2 + 3*x)^3*(3 + 5*x)^2) + (581*Sqrt[1 - 2*x])/(27*(2 + 3*x)^2*(3 + 5*x)^2) + (1256*Sqrt[1 - 2*x])/(3*(2 + 3*x)*(3 + 5*x)^2) + (113875*Sqrt[1 - 2*x])/(6*(3 + 5*x)) + (785570*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/Sqrt[21] - 23115*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",10,6,24,0.2500,1,"{98, 149, 151, 156, 63, 206}"
2000,1,201,0,0.0898213,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^5 (3+5 x)^3} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^5*(3 + 5*x)^3),x]","\frac{7 (1-2 x)^{3/2}}{12 (3 x+2)^4 (5 x+3)^2}+\frac{23680975 \sqrt{1-2 x}}{168 (5 x+3)}+\frac{522385 \sqrt{1-2 x}}{168 (3 x+2) (5 x+3)^2}+\frac{11243 \sqrt{1-2 x}}{72 (3 x+2)^2 (5 x+3)^2}+\frac{1393 \sqrt{1-2 x}}{108 (3 x+2)^3 (5 x+3)^2}-\frac{8836825 \sqrt{1-2 x}}{378 (5 x+3)^2}+\frac{163363895 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{28 \sqrt{21}}-171675 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{7 (1-2 x)^{3/2}}{12 (3 x+2)^4 (5 x+3)^2}+\frac{23680975 \sqrt{1-2 x}}{168 (5 x+3)}+\frac{522385 \sqrt{1-2 x}}{168 (3 x+2) (5 x+3)^2}+\frac{11243 \sqrt{1-2 x}}{72 (3 x+2)^2 (5 x+3)^2}+\frac{1393 \sqrt{1-2 x}}{108 (3 x+2)^3 (5 x+3)^2}-\frac{8836825 \sqrt{1-2 x}}{378 (5 x+3)^2}+\frac{163363895 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{28 \sqrt{21}}-171675 \sqrt{55} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-8836825*Sqrt[1 - 2*x])/(378*(3 + 5*x)^2) + (7*(1 - 2*x)^(3/2))/(12*(2 + 3*x)^4*(3 + 5*x)^2) + (1393*Sqrt[1 - 2*x])/(108*(2 + 3*x)^3*(3 + 5*x)^2) + (11243*Sqrt[1 - 2*x])/(72*(2 + 3*x)^2*(3 + 5*x)^2) + (522385*Sqrt[1 - 2*x])/(168*(2 + 3*x)*(3 + 5*x)^2) + (23680975*Sqrt[1 - 2*x])/(168*(3 + 5*x)) + (163363895*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(28*Sqrt[21]) - 171675*Sqrt[55]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",11,6,24,0.2500,1,"{98, 149, 151, 156, 63, 206}"
2001,1,92,0,0.0167062,"\int \frac{(2+3 x)^5 (3+5 x)}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^5*(3 + 5*x))/Sqrt[1 - 2*x],x]","-\frac{1215}{832} (1-2 x)^{13/2}+\frac{1053}{44} (1-2 x)^{11/2}-\frac{10815}{64} (1-2 x)^{9/2}+\frac{5355}{8} (1-2 x)^{7/2}-\frac{103929}{64} (1-2 x)^{5/2}+\frac{60025}{24} (1-2 x)^{3/2}-\frac{184877}{64} \sqrt{1-2 x}","-\frac{1215}{832} (1-2 x)^{13/2}+\frac{1053}{44} (1-2 x)^{11/2}-\frac{10815}{64} (1-2 x)^{9/2}+\frac{5355}{8} (1-2 x)^{7/2}-\frac{103929}{64} (1-2 x)^{5/2}+\frac{60025}{24} (1-2 x)^{3/2}-\frac{184877}{64} \sqrt{1-2 x}",1,"(-184877*Sqrt[1 - 2*x])/64 + (60025*(1 - 2*x)^(3/2))/24 - (103929*(1 - 2*x)^(5/2))/64 + (5355*(1 - 2*x)^(7/2))/8 - (10815*(1 - 2*x)^(9/2))/64 + (1053*(1 - 2*x)^(11/2))/44 - (1215*(1 - 2*x)^(13/2))/832","A",2,1,22,0.04545,1,"{77}"
2002,1,79,0,0.0143568,"\int \frac{(2+3 x)^4 (3+5 x)}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^4*(3 + 5*x))/Sqrt[1 - 2*x],x]","\frac{405}{352} (1-2 x)^{11/2}-\frac{519}{32} (1-2 x)^{9/2}+\frac{1539}{16} (1-2 x)^{7/2}-\frac{24843}{80} (1-2 x)^{5/2}+\frac{57281}{96} (1-2 x)^{3/2}-\frac{26411}{32} \sqrt{1-2 x}","\frac{405}{352} (1-2 x)^{11/2}-\frac{519}{32} (1-2 x)^{9/2}+\frac{1539}{16} (1-2 x)^{7/2}-\frac{24843}{80} (1-2 x)^{5/2}+\frac{57281}{96} (1-2 x)^{3/2}-\frac{26411}{32} \sqrt{1-2 x}",1,"(-26411*Sqrt[1 - 2*x])/32 + (57281*(1 - 2*x)^(3/2))/96 - (24843*(1 - 2*x)^(5/2))/80 + (1539*(1 - 2*x)^(7/2))/16 - (519*(1 - 2*x)^(9/2))/32 + (405*(1 - 2*x)^(11/2))/352","A",2,1,22,0.04545,1,"{77}"
2003,1,66,0,0.0117312,"\int \frac{(2+3 x)^3 (3+5 x)}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x))/Sqrt[1 - 2*x],x]","-\frac{15}{16} (1-2 x)^{9/2}+\frac{621}{56} (1-2 x)^{7/2}-\frac{1071}{20} (1-2 x)^{5/2}+\frac{3283}{24} (1-2 x)^{3/2}-\frac{3773}{16} \sqrt{1-2 x}","-\frac{15}{16} (1-2 x)^{9/2}+\frac{621}{56} (1-2 x)^{7/2}-\frac{1071}{20} (1-2 x)^{5/2}+\frac{3283}{24} (1-2 x)^{3/2}-\frac{3773}{16} \sqrt{1-2 x}",1,"(-3773*Sqrt[1 - 2*x])/16 + (3283*(1 - 2*x)^(3/2))/24 - (1071*(1 - 2*x)^(5/2))/20 + (621*(1 - 2*x)^(7/2))/56 - (15*(1 - 2*x)^(9/2))/16","A",2,1,22,0.04545,1,"{77}"
2004,1,53,0,0.0096609,"\int \frac{(2+3 x)^2 (3+5 x)}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x))/Sqrt[1 - 2*x],x]","\frac{45}{56} (1-2 x)^{7/2}-\frac{309}{40} (1-2 x)^{5/2}+\frac{707}{24} (1-2 x)^{3/2}-\frac{539}{8} \sqrt{1-2 x}","\frac{45}{56} (1-2 x)^{7/2}-\frac{309}{40} (1-2 x)^{5/2}+\frac{707}{24} (1-2 x)^{3/2}-\frac{539}{8} \sqrt{1-2 x}",1,"(-539*Sqrt[1 - 2*x])/8 + (707*(1 - 2*x)^(3/2))/24 - (309*(1 - 2*x)^(5/2))/40 + (45*(1 - 2*x)^(7/2))/56","A",2,1,22,0.04545,1,"{77}"
2005,1,40,0,0.0076623,"\int \frac{(2+3 x) (3+5 x)}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)*(3 + 5*x))/Sqrt[1 - 2*x],x]","-\frac{3}{4} (1-2 x)^{5/2}+\frac{17}{3} (1-2 x)^{3/2}-\frac{77}{4} \sqrt{1-2 x}","-\frac{3}{4} (1-2 x)^{5/2}+\frac{17}{3} (1-2 x)^{3/2}-\frac{77}{4} \sqrt{1-2 x}",1,"(-77*Sqrt[1 - 2*x])/4 + (17*(1 - 2*x)^(3/2))/3 - (3*(1 - 2*x)^(5/2))/4","A",2,1,20,0.05000,1,"{77}"
2006,1,27,0,0.0054607,"\int \frac{3+5 x}{\sqrt{1-2 x}} \, dx","Int[(3 + 5*x)/Sqrt[1 - 2*x],x]","\frac{5}{6} (1-2 x)^{3/2}-\frac{11}{2} \sqrt{1-2 x}","\frac{5}{6} (1-2 x)^{3/2}-\frac{11}{2} \sqrt{1-2 x}",1,"(-11*Sqrt[1 - 2*x])/2 + (5*(1 - 2*x)^(3/2))/6","A",2,1,15,0.06667,1,"{43}"
2007,1,41,0,0.0084517,"\int \frac{3+5 x}{\sqrt{1-2 x} (2+3 x)} \, dx","Int[(3 + 5*x)/(Sqrt[1 - 2*x]*(2 + 3*x)),x]","\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{3 \sqrt{21}}-\frac{5}{3} \sqrt{1-2 x}","\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{3 \sqrt{21}}-\frac{5}{3} \sqrt{1-2 x}",1,"(-5*Sqrt[1 - 2*x])/3 + (2*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(3*Sqrt[21])","A",3,3,22,0.1364,1,"{80, 63, 206}"
2008,1,48,0,0.009429,"\int \frac{3+5 x}{\sqrt{1-2 x} (2+3 x)^2} \, dx","Int[(3 + 5*x)/(Sqrt[1 - 2*x]*(2 + 3*x)^2),x]","\frac{\sqrt{1-2 x}}{21 (3 x+2)}-\frac{68 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{21 \sqrt{21}}","\frac{\sqrt{1-2 x}}{21 (3 x+2)}-\frac{68 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{21 \sqrt{21}}",1,"Sqrt[1 - 2*x]/(21*(2 + 3*x)) - (68*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(21*Sqrt[21])","A",3,3,22,0.1364,1,"{78, 63, 206}"
2009,1,68,0,0.0141306,"\int \frac{3+5 x}{\sqrt{1-2 x} (2+3 x)^3} \, dx","Int[(3 + 5*x)/(Sqrt[1 - 2*x]*(2 + 3*x)^3),x]","-\frac{67 \sqrt{1-2 x}}{294 (3 x+2)}+\frac{\sqrt{1-2 x}}{42 (3 x+2)^2}-\frac{67 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{147 \sqrt{21}}","-\frac{67 \sqrt{1-2 x}}{294 (3 x+2)}+\frac{\sqrt{1-2 x}}{42 (3 x+2)^2}-\frac{67 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{147 \sqrt{21}}",1,"Sqrt[1 - 2*x]/(42*(2 + 3*x)^2) - (67*Sqrt[1 - 2*x])/(294*(2 + 3*x)) - (67*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(147*Sqrt[21])","A",4,4,22,0.1818,1,"{78, 51, 63, 206}"
2010,1,88,0,0.0224067,"\int \frac{3+5 x}{\sqrt{1-2 x} (2+3 x)^4} \, dx","Int[(3 + 5*x)/(Sqrt[1 - 2*x]*(2 + 3*x)^4),x]","-\frac{50 \sqrt{1-2 x}}{1029 (3 x+2)}-\frac{50 \sqrt{1-2 x}}{441 (3 x+2)^2}+\frac{\sqrt{1-2 x}}{63 (3 x+2)^3}-\frac{100 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}","-\frac{50 \sqrt{1-2 x}}{1029 (3 x+2)}-\frac{50 \sqrt{1-2 x}}{441 (3 x+2)^2}+\frac{\sqrt{1-2 x}}{63 (3 x+2)^3}-\frac{100 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}",1,"Sqrt[1 - 2*x]/(63*(2 + 3*x)^3) - (50*Sqrt[1 - 2*x])/(441*(2 + 3*x)^2) - (50*Sqrt[1 - 2*x])/(1029*(2 + 3*x)) - (100*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(1029*Sqrt[21])","A",5,4,22,0.1818,1,"{78, 51, 63, 206}"
2011,1,108,0,0.0277943,"\int \frac{3+5 x}{\sqrt{1-2 x} (2+3 x)^5} \, dx","Int[(3 + 5*x)/(Sqrt[1 - 2*x]*(2 + 3*x)^5),x]","-\frac{95 \sqrt{1-2 x}}{8232 (3 x+2)}-\frac{95 \sqrt{1-2 x}}{3528 (3 x+2)^2}-\frac{19 \sqrt{1-2 x}}{252 (3 x+2)^3}+\frac{\sqrt{1-2 x}}{84 (3 x+2)^4}-\frac{95 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{4116 \sqrt{21}}","-\frac{95 \sqrt{1-2 x}}{8232 (3 x+2)}-\frac{95 \sqrt{1-2 x}}{3528 (3 x+2)^2}-\frac{19 \sqrt{1-2 x}}{252 (3 x+2)^3}+\frac{\sqrt{1-2 x}}{84 (3 x+2)^4}-\frac{95 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{4116 \sqrt{21}}",1,"Sqrt[1 - 2*x]/(84*(2 + 3*x)^4) - (19*Sqrt[1 - 2*x])/(252*(2 + 3*x)^3) - (95*Sqrt[1 - 2*x])/(3528*(2 + 3*x)^2) - (95*Sqrt[1 - 2*x])/(8232*(2 + 3*x)) - (95*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(4116*Sqrt[21])","A",6,4,22,0.1818,1,"{78, 51, 63, 206}"
2012,1,105,0,0.0184158,"\int \frac{(2+3 x)^5 (3+5 x)^2}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^5*(3 + 5*x)^2)/Sqrt[1 - 2*x],x]","\frac{405}{128} (1-2 x)^{15/2}-\frac{97605 (1-2 x)^{13/2}}{1664}+\frac{672003 (1-2 x)^{11/2}}{1408}-\frac{285565}{128} (1-2 x)^{9/2}+\frac{842415}{128} (1-2 x)^{7/2}-\frac{1623419}{128} (1-2 x)^{5/2}+\frac{6206585}{384} (1-2 x)^{3/2}-\frac{2033647}{128} \sqrt{1-2 x}","\frac{405}{128} (1-2 x)^{15/2}-\frac{97605 (1-2 x)^{13/2}}{1664}+\frac{672003 (1-2 x)^{11/2}}{1408}-\frac{285565}{128} (1-2 x)^{9/2}+\frac{842415}{128} (1-2 x)^{7/2}-\frac{1623419}{128} (1-2 x)^{5/2}+\frac{6206585}{384} (1-2 x)^{3/2}-\frac{2033647}{128} \sqrt{1-2 x}",1,"(-2033647*Sqrt[1 - 2*x])/128 + (6206585*(1 - 2*x)^(3/2))/384 - (1623419*(1 - 2*x)^(5/2))/128 + (842415*(1 - 2*x)^(7/2))/128 - (285565*(1 - 2*x)^(9/2))/128 + (672003*(1 - 2*x)^(11/2))/1408 - (97605*(1 - 2*x)^(13/2))/1664 + (405*(1 - 2*x)^(15/2))/128","A",2,1,24,0.04167,1,"{88}"
2013,1,92,0,0.0171868,"\int \frac{(2+3 x)^4 (3+5 x)^2}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^2)/Sqrt[1 - 2*x],x]","-\frac{2025}{832} (1-2 x)^{13/2}+\frac{13905}{352} (1-2 x)^{11/2}-\frac{17679}{64} (1-2 x)^{9/2}+\frac{17337}{16} (1-2 x)^{7/2}-\frac{832951}{320} (1-2 x)^{5/2}+\frac{381073}{96} (1-2 x)^{3/2}-\frac{290521}{64} \sqrt{1-2 x}","-\frac{2025}{832} (1-2 x)^{13/2}+\frac{13905}{352} (1-2 x)^{11/2}-\frac{17679}{64} (1-2 x)^{9/2}+\frac{17337}{16} (1-2 x)^{7/2}-\frac{832951}{320} (1-2 x)^{5/2}+\frac{381073}{96} (1-2 x)^{3/2}-\frac{290521}{64} \sqrt{1-2 x}",1,"(-290521*Sqrt[1 - 2*x])/64 + (381073*(1 - 2*x)^(3/2))/96 - (832951*(1 - 2*x)^(5/2))/320 + (17337*(1 - 2*x)^(7/2))/16 - (17679*(1 - 2*x)^(9/2))/64 + (13905*(1 - 2*x)^(11/2))/352 - (2025*(1 - 2*x)^(13/2))/832","A",2,1,24,0.04167,1,"{88}"
2014,1,79,0,0.0145525,"\int \frac{(2+3 x)^3 (3+5 x)^2}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^2)/Sqrt[1 - 2*x],x]","\frac{675}{352} (1-2 x)^{11/2}-\frac{855}{32} (1-2 x)^{9/2}+\frac{17541}{112} (1-2 x)^{7/2}-\frac{39977}{80} (1-2 x)^{5/2}+\frac{91091}{96} (1-2 x)^{3/2}-\frac{41503}{32} \sqrt{1-2 x}","\frac{675}{352} (1-2 x)^{11/2}-\frac{855}{32} (1-2 x)^{9/2}+\frac{17541}{112} (1-2 x)^{7/2}-\frac{39977}{80} (1-2 x)^{5/2}+\frac{91091}{96} (1-2 x)^{3/2}-\frac{41503}{32} \sqrt{1-2 x}",1,"(-41503*Sqrt[1 - 2*x])/32 + (91091*(1 - 2*x)^(3/2))/96 - (39977*(1 - 2*x)^(5/2))/80 + (17541*(1 - 2*x)^(7/2))/112 - (855*(1 - 2*x)^(9/2))/32 + (675*(1 - 2*x)^(11/2))/352","A",2,1,24,0.04167,1,"{88}"
2015,1,66,0,0.012597,"\int \frac{(2+3 x)^2 (3+5 x)^2}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^2)/Sqrt[1 - 2*x],x]","-\frac{25}{16} (1-2 x)^{9/2}+\frac{255}{14} (1-2 x)^{7/2}-\frac{3467}{40} (1-2 x)^{5/2}+\frac{1309}{6} (1-2 x)^{3/2}-\frac{5929}{16} \sqrt{1-2 x}","-\frac{25}{16} (1-2 x)^{9/2}+\frac{255}{14} (1-2 x)^{7/2}-\frac{3467}{40} (1-2 x)^{5/2}+\frac{1309}{6} (1-2 x)^{3/2}-\frac{5929}{16} \sqrt{1-2 x}",1,"(-5929*Sqrt[1 - 2*x])/16 + (1309*(1 - 2*x)^(3/2))/6 - (3467*(1 - 2*x)^(5/2))/40 + (255*(1 - 2*x)^(7/2))/14 - (25*(1 - 2*x)^(9/2))/16","A",2,1,24,0.04167,1,"{88}"
2016,1,53,0,0.0106217,"\int \frac{(2+3 x) (3+5 x)^2}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)*(3 + 5*x)^2)/Sqrt[1 - 2*x],x]","\frac{75}{56} (1-2 x)^{7/2}-\frac{101}{8} (1-2 x)^{5/2}+\frac{1133}{24} (1-2 x)^{3/2}-\frac{847}{8} \sqrt{1-2 x}","\frac{75}{56} (1-2 x)^{7/2}-\frac{101}{8} (1-2 x)^{5/2}+\frac{1133}{24} (1-2 x)^{3/2}-\frac{847}{8} \sqrt{1-2 x}",1,"(-847*Sqrt[1 - 2*x])/8 + (1133*(1 - 2*x)^(3/2))/24 - (101*(1 - 2*x)^(5/2))/8 + (75*(1 - 2*x)^(7/2))/56","A",2,1,22,0.04545,1,"{77}"
2017,1,40,0,0.0075216,"\int \frac{(3+5 x)^2}{\sqrt{1-2 x}} \, dx","Int[(3 + 5*x)^2/Sqrt[1 - 2*x],x]","-\frac{5}{4} (1-2 x)^{5/2}+\frac{55}{6} (1-2 x)^{3/2}-\frac{121}{4} \sqrt{1-2 x}","-\frac{5}{4} (1-2 x)^{5/2}+\frac{55}{6} (1-2 x)^{3/2}-\frac{121}{4} \sqrt{1-2 x}",1,"(-121*Sqrt[1 - 2*x])/4 + (55*(1 - 2*x)^(3/2))/6 - (5*(1 - 2*x)^(5/2))/4","A",2,1,17,0.05882,1,"{43}"
2018,1,54,0,0.019101,"\int \frac{(3+5 x)^2}{\sqrt{1-2 x} (2+3 x)} \, dx","Int[(3 + 5*x)^2/(Sqrt[1 - 2*x]*(2 + 3*x)),x]","\frac{25}{18} (1-2 x)^{3/2}-\frac{155}{18} \sqrt{1-2 x}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9 \sqrt{21}}","\frac{25}{18} (1-2 x)^{3/2}-\frac{155}{18} \sqrt{1-2 x}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9 \sqrt{21}}",1,"(-155*Sqrt[1 - 2*x])/18 + (25*(1 - 2*x)^(3/2))/18 - (2*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(9*Sqrt[21])","A",4,3,24,0.1250,1,"{88, 63, 206}"
2019,1,61,0,0.0144569,"\int \frac{(3+5 x)^2}{\sqrt{1-2 x} (2+3 x)^2} \, dx","Int[(3 + 5*x)^2/(Sqrt[1 - 2*x]*(2 + 3*x)^2),x]","-\frac{25}{9} \sqrt{1-2 x}-\frac{\sqrt{1-2 x}}{63 (3 x+2)}+\frac{46 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{21 \sqrt{21}}","-\frac{25}{9} \sqrt{1-2 x}-\frac{\sqrt{1-2 x}}{63 (3 x+2)}+\frac{46 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{21 \sqrt{21}}",1,"(-25*Sqrt[1 - 2*x])/9 - Sqrt[1 - 2*x]/(63*(2 + 3*x)) + (46*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(21*Sqrt[21])","A",4,4,24,0.1667,1,"{89, 80, 63, 206}"
2020,1,68,0,0.0149314,"\int \frac{(3+5 x)^2}{\sqrt{1-2 x} (2+3 x)^3} \, dx","Int[(3 + 5*x)^2/(Sqrt[1 - 2*x]*(2 + 3*x)^3),x]","\frac{137 \sqrt{1-2 x}}{882 (3 x+2)}-\frac{\sqrt{1-2 x}}{126 (3 x+2)^2}-\frac{257 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{49 \sqrt{21}}","\frac{137 \sqrt{1-2 x}}{882 (3 x+2)}-\frac{\sqrt{1-2 x}}{126 (3 x+2)^2}-\frac{257 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{49 \sqrt{21}}",1,"-Sqrt[1 - 2*x]/(126*(2 + 3*x)^2) + (137*Sqrt[1 - 2*x])/(882*(2 + 3*x)) - (257*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(49*Sqrt[21])","A",4,4,24,0.1667,1,"{89, 78, 63, 206}"
2021,1,88,0,0.0216794,"\int \frac{(3+5 x)^2}{\sqrt{1-2 x} (2+3 x)^4} \, dx","Int[(3 + 5*x)^2/(Sqrt[1 - 2*x]*(2 + 3*x)^4),x]","-\frac{2245 \sqrt{1-2 x}}{6174 (3 x+2)}+\frac{205 \sqrt{1-2 x}}{2646 (3 x+2)^2}-\frac{\sqrt{1-2 x}}{189 (3 x+2)^3}-\frac{2245 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{3087 \sqrt{21}}","-\frac{2245 \sqrt{1-2 x}}{6174 (3 x+2)}+\frac{205 \sqrt{1-2 x}}{2646 (3 x+2)^2}-\frac{\sqrt{1-2 x}}{189 (3 x+2)^3}-\frac{2245 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{3087 \sqrt{21}}",1,"-Sqrt[1 - 2*x]/(189*(2 + 3*x)^3) + (205*Sqrt[1 - 2*x])/(2646*(2 + 3*x)^2) - (2245*Sqrt[1 - 2*x])/(6174*(2 + 3*x)) - (2245*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(3087*Sqrt[21])","A",5,5,24,0.2083,1,"{89, 78, 51, 63, 206}"
2022,1,108,0,0.0291196,"\int \frac{(3+5 x)^2}{\sqrt{1-2 x} (2+3 x)^5} \, dx","Int[(3 + 5*x)^2/(Sqrt[1 - 2*x]*(2 + 3*x)^5),x]","-\frac{635 \sqrt{1-2 x}}{8232 (3 x+2)}-\frac{635 \sqrt{1-2 x}}{3528 (3 x+2)^2}+\frac{13 \sqrt{1-2 x}}{252 (3 x+2)^3}-\frac{\sqrt{1-2 x}}{252 (3 x+2)^4}-\frac{635 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{4116 \sqrt{21}}","-\frac{635 \sqrt{1-2 x}}{8232 (3 x+2)}-\frac{635 \sqrt{1-2 x}}{3528 (3 x+2)^2}+\frac{13 \sqrt{1-2 x}}{252 (3 x+2)^3}-\frac{\sqrt{1-2 x}}{252 (3 x+2)^4}-\frac{635 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{4116 \sqrt{21}}",1,"-Sqrt[1 - 2*x]/(252*(2 + 3*x)^4) + (13*Sqrt[1 - 2*x])/(252*(2 + 3*x)^3) - (635*Sqrt[1 - 2*x])/(3528*(2 + 3*x)^2) - (635*Sqrt[1 - 2*x])/(8232*(2 + 3*x)) - (635*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(4116*Sqrt[21])","A",6,5,24,0.2083,1,"{89, 78, 51, 63, 206}"
2023,1,130,0,0.0382197,"\int \frac{(3+5 x)^2}{\sqrt{1-2 x} (2+3 x)^6} \, dx","Int[(3 + 5*x)^2/(Sqrt[1 - 2*x]*(2 + 3*x)^6),x]","-\frac{351 \sqrt{1-2 x}}{19208 (3 x+2)}-\frac{117 \sqrt{1-2 x}}{2744 (3 x+2)^2}-\frac{117 \sqrt{1-2 x}}{980 (3 x+2)^3}+\frac{341 \sqrt{1-2 x}}{8820 (3 x+2)^4}-\frac{\sqrt{1-2 x}}{315 (3 x+2)^5}-\frac{117 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9604}","-\frac{351 \sqrt{1-2 x}}{19208 (3 x+2)}-\frac{117 \sqrt{1-2 x}}{2744 (3 x+2)^2}-\frac{117 \sqrt{1-2 x}}{980 (3 x+2)^3}+\frac{341 \sqrt{1-2 x}}{8820 (3 x+2)^4}-\frac{\sqrt{1-2 x}}{315 (3 x+2)^5}-\frac{117 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9604}",1,"-Sqrt[1 - 2*x]/(315*(2 + 3*x)^5) + (341*Sqrt[1 - 2*x])/(8820*(2 + 3*x)^4) - (117*Sqrt[1 - 2*x])/(980*(2 + 3*x)^3) - (117*Sqrt[1 - 2*x])/(2744*(2 + 3*x)^2) - (351*Sqrt[1 - 2*x])/(19208*(2 + 3*x)) - (117*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/9604","A",7,5,24,0.2083,1,"{89, 78, 51, 63, 206}"
2024,1,105,0,0.0183953,"\int \frac{(2+3 x)^4 (3+5 x)^3}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^3)/Sqrt[1 - 2*x],x]","\frac{675}{128} (1-2 x)^{15/2}-\frac{161325 (1-2 x)^{13/2}}{1664}+\frac{1101465 (1-2 x)^{11/2}}{1408}-\frac{1392467}{384} (1-2 x)^{9/2}+\frac{1357793}{128} (1-2 x)^{7/2}-\frac{12973191}{640} (1-2 x)^{5/2}+\frac{3278737}{128} (1-2 x)^{3/2}-\frac{3195731}{128} \sqrt{1-2 x}","\frac{675}{128} (1-2 x)^{15/2}-\frac{161325 (1-2 x)^{13/2}}{1664}+\frac{1101465 (1-2 x)^{11/2}}{1408}-\frac{1392467}{384} (1-2 x)^{9/2}+\frac{1357793}{128} (1-2 x)^{7/2}-\frac{12973191}{640} (1-2 x)^{5/2}+\frac{3278737}{128} (1-2 x)^{3/2}-\frac{3195731}{128} \sqrt{1-2 x}",1,"(-3195731*Sqrt[1 - 2*x])/128 + (3278737*(1 - 2*x)^(3/2))/128 - (12973191*(1 - 2*x)^(5/2))/640 + (1357793*(1 - 2*x)^(7/2))/128 - (1392467*(1 - 2*x)^(9/2))/384 + (1101465*(1 - 2*x)^(11/2))/1408 - (161325*(1 - 2*x)^(13/2))/1664 + (675*(1 - 2*x)^(15/2))/128","A",2,1,24,0.04167,1,"{88}"
2025,1,92,0,0.0175975,"\int \frac{(2+3 x)^3 (3+5 x)^3}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^3)/Sqrt[1 - 2*x],x]","-\frac{3375}{832} (1-2 x)^{13/2}+\frac{11475}{176} (1-2 x)^{11/2}-\frac{28895}{64} (1-2 x)^{9/2}+\frac{98209}{56} (1-2 x)^{7/2}-\frac{1334949}{320} (1-2 x)^{5/2}+\frac{100793}{16} (1-2 x)^{3/2}-\frac{456533}{64} \sqrt{1-2 x}","-\frac{3375}{832} (1-2 x)^{13/2}+\frac{11475}{176} (1-2 x)^{11/2}-\frac{28895}{64} (1-2 x)^{9/2}+\frac{98209}{56} (1-2 x)^{7/2}-\frac{1334949}{320} (1-2 x)^{5/2}+\frac{100793}{16} (1-2 x)^{3/2}-\frac{456533}{64} \sqrt{1-2 x}",1,"(-456533*Sqrt[1 - 2*x])/64 + (100793*(1 - 2*x)^(3/2))/16 - (1334949*(1 - 2*x)^(5/2))/320 + (98209*(1 - 2*x)^(7/2))/56 - (28895*(1 - 2*x)^(9/2))/64 + (11475*(1 - 2*x)^(11/2))/176 - (3375*(1 - 2*x)^(13/2))/832","A",2,1,24,0.04167,1,"{88}"
2026,1,79,0,0.0149652,"\int \frac{(2+3 x)^2 (3+5 x)^3}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^3)/Sqrt[1 - 2*x],x]","\frac{1125}{352} (1-2 x)^{11/2}-\frac{4225}{96} (1-2 x)^{9/2}+\frac{28555}{112} (1-2 x)^{7/2}-\frac{64317}{80} (1-2 x)^{5/2}+\frac{48279}{32} (1-2 x)^{3/2}-\frac{65219}{32} \sqrt{1-2 x}","\frac{1125}{352} (1-2 x)^{11/2}-\frac{4225}{96} (1-2 x)^{9/2}+\frac{28555}{112} (1-2 x)^{7/2}-\frac{64317}{80} (1-2 x)^{5/2}+\frac{48279}{32} (1-2 x)^{3/2}-\frac{65219}{32} \sqrt{1-2 x}",1,"(-65219*Sqrt[1 - 2*x])/32 + (48279*(1 - 2*x)^(3/2))/32 - (64317*(1 - 2*x)^(5/2))/80 + (28555*(1 - 2*x)^(7/2))/112 - (4225*(1 - 2*x)^(9/2))/96 + (1125*(1 - 2*x)^(11/2))/352","A",2,1,24,0.04167,1,"{88}"
2027,1,66,0,0.0116112,"\int \frac{(2+3 x) (3+5 x)^3}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)*(3 + 5*x)^3)/Sqrt[1 - 2*x],x]","-\frac{125}{48} (1-2 x)^{9/2}+\frac{1675}{56} (1-2 x)^{7/2}-\frac{561}{4} (1-2 x)^{5/2}+\frac{2783}{8} (1-2 x)^{3/2}-\frac{9317}{16} \sqrt{1-2 x}","-\frac{125}{48} (1-2 x)^{9/2}+\frac{1675}{56} (1-2 x)^{7/2}-\frac{561}{4} (1-2 x)^{5/2}+\frac{2783}{8} (1-2 x)^{3/2}-\frac{9317}{16} \sqrt{1-2 x}",1,"(-9317*Sqrt[1 - 2*x])/16 + (2783*(1 - 2*x)^(3/2))/8 - (561*(1 - 2*x)^(5/2))/4 + (1675*(1 - 2*x)^(7/2))/56 - (125*(1 - 2*x)^(9/2))/48","A",2,1,22,0.04545,1,"{77}"
2028,1,53,0,0.0087757,"\int \frac{(3+5 x)^3}{\sqrt{1-2 x}} \, dx","Int[(3 + 5*x)^3/Sqrt[1 - 2*x],x]","\frac{125}{56} (1-2 x)^{7/2}-\frac{165}{8} (1-2 x)^{5/2}+\frac{605}{8} (1-2 x)^{3/2}-\frac{1331}{8} \sqrt{1-2 x}","\frac{125}{56} (1-2 x)^{7/2}-\frac{165}{8} (1-2 x)^{5/2}+\frac{605}{8} (1-2 x)^{3/2}-\frac{1331}{8} \sqrt{1-2 x}",1,"(-1331*Sqrt[1 - 2*x])/8 + (605*(1 - 2*x)^(3/2))/8 - (165*(1 - 2*x)^(5/2))/8 + (125*(1 - 2*x)^(7/2))/56","A",2,1,17,0.05882,1,"{43}"
2029,1,67,0,0.0209144,"\int \frac{(3+5 x)^3}{\sqrt{1-2 x} (2+3 x)} \, dx","Int[(3 + 5*x)^3/(Sqrt[1 - 2*x]*(2 + 3*x)),x]","-\frac{25}{12} (1-2 x)^{5/2}+\frac{400}{27} (1-2 x)^{3/2}-\frac{5135}{108} \sqrt{1-2 x}+\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{27 \sqrt{21}}","-\frac{25}{12} (1-2 x)^{5/2}+\frac{400}{27} (1-2 x)^{3/2}-\frac{5135}{108} \sqrt{1-2 x}+\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{27 \sqrt{21}}",1,"(-5135*Sqrt[1 - 2*x])/108 + (400*(1 - 2*x)^(3/2))/27 - (25*(1 - 2*x)^(5/2))/12 + (2*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(27*Sqrt[21])","A",4,3,24,0.1250,1,"{88, 63, 206}"
2030,1,73,0,0.0175322,"\int \frac{(3+5 x)^3}{\sqrt{1-2 x} (2+3 x)^2} \, dx","Int[(3 + 5*x)^3/(Sqrt[1 - 2*x]*(2 + 3*x)^2),x]","\frac{\sqrt{1-2 x} (5 x+3)^2}{21 (3 x+2)}-\frac{10}{189} \sqrt{1-2 x} (95 x+214)-\frac{208 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{189 \sqrt{21}}","\frac{\sqrt{1-2 x} (5 x+3)^2}{21 (3 x+2)}-\frac{10}{189} \sqrt{1-2 x} (95 x+214)-\frac{208 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{189 \sqrt{21}}",1,"(Sqrt[1 - 2*x]*(3 + 5*x)^2)/(21*(2 + 3*x)) - (10*Sqrt[1 - 2*x]*(214 + 95*x))/189 - (208*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(189*Sqrt[21])","A",4,4,24,0.1667,1,"{98, 147, 63, 206}"
2031,1,80,0,0.0197916,"\int \frac{(3+5 x)^3}{\sqrt{1-2 x} (2+3 x)^3} \, dx","Int[(3 + 5*x)^3/(Sqrt[1 - 2*x]*(2 + 3*x)^3),x]","\frac{\sqrt{1-2 x} (5 x+3)^2}{42 (3 x+2)^2}-\frac{\sqrt{1-2 x} (12425 x+8329)}{882 (3 x+2)}+\frac{2381 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{441 \sqrt{21}}","\frac{\sqrt{1-2 x} (5 x+3)^2}{42 (3 x+2)^2}-\frac{\sqrt{1-2 x} (12425 x+8329)}{882 (3 x+2)}+\frac{2381 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{441 \sqrt{21}}",1,"(Sqrt[1 - 2*x]*(3 + 5*x)^2)/(42*(2 + 3*x)^2) - (Sqrt[1 - 2*x]*(8329 + 12425*x))/(882*(2 + 3*x)) + (2381*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(441*Sqrt[21])","A",4,4,24,0.1667,1,"{98, 146, 63, 206}"
2032,1,80,0,0.0183083,"\int \frac{(3+5 x)^3}{\sqrt{1-2 x} (2+3 x)^4} \, dx","Int[(3 + 5*x)^3/(Sqrt[1 - 2*x]*(2 + 3*x)^4),x]","\frac{\sqrt{1-2 x} (5 x+3)^2}{63 (3 x+2)^3}+\frac{5 \sqrt{1-2 x} (1867 x+1205)}{9261 (3 x+2)^2}-\frac{78710 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9261 \sqrt{21}}","\frac{\sqrt{1-2 x} (5 x+3)^2}{63 (3 x+2)^3}+\frac{5 \sqrt{1-2 x} (1867 x+1205)}{9261 (3 x+2)^2}-\frac{78710 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9261 \sqrt{21}}",1,"(Sqrt[1 - 2*x]*(3 + 5*x)^2)/(63*(2 + 3*x)^3) + (5*Sqrt[1 - 2*x]*(1205 + 1867*x))/(9261*(2 + 3*x)^2) - (78710*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(9261*Sqrt[21])","A",4,4,24,0.1667,1,"{98, 145, 63, 206}"
2033,1,100,0,0.0261442,"\int \frac{(3+5 x)^3}{\sqrt{1-2 x} (2+3 x)^5} \, dx","Int[(3 + 5*x)^3/(Sqrt[1 - 2*x]*(2 + 3*x)^5),x]","\frac{\sqrt{1-2 x} (5 x+3)^2}{84 (3 x+2)^4}+\frac{\sqrt{1-2 x} (4955 x+3168)}{10584 (3 x+2)^3}-\frac{42995 \sqrt{1-2 x}}{74088 (3 x+2)}-\frac{42995 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{37044 \sqrt{21}}","\frac{\sqrt{1-2 x} (5 x+3)^2}{84 (3 x+2)^4}+\frac{\sqrt{1-2 x} (4955 x+3168)}{10584 (3 x+2)^3}-\frac{42995 \sqrt{1-2 x}}{74088 (3 x+2)}-\frac{42995 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{37044 \sqrt{21}}",1,"(-42995*Sqrt[1 - 2*x])/(74088*(2 + 3*x)) + (Sqrt[1 - 2*x]*(3 + 5*x)^2)/(84*(2 + 3*x)^4) + (Sqrt[1 - 2*x]*(3168 + 4955*x))/(10584*(2 + 3*x)^3) - (42995*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(37044*Sqrt[21])","A",5,5,24,0.2083,1,"{98, 145, 51, 63, 206}"
2034,1,120,0,0.0323284,"\int \frac{(3+5 x)^3}{\sqrt{1-2 x} (2+3 x)^6} \, dx","Int[(3 + 5*x)^3/(Sqrt[1 - 2*x]*(2 + 3*x)^6),x]","\frac{\sqrt{1-2 x} (5 x+3)^2}{105 (3 x+2)^5}+\frac{\sqrt{1-2 x} (1971 x+1255)}{6615 (3 x+2)^4}-\frac{5293 \sqrt{1-2 x}}{43218 (3 x+2)}-\frac{5293 \sqrt{1-2 x}}{18522 (3 x+2)^2}-\frac{5293 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{21609 \sqrt{21}}","\frac{\sqrt{1-2 x} (5 x+3)^2}{105 (3 x+2)^5}+\frac{\sqrt{1-2 x} (1971 x+1255)}{6615 (3 x+2)^4}-\frac{5293 \sqrt{1-2 x}}{43218 (3 x+2)}-\frac{5293 \sqrt{1-2 x}}{18522 (3 x+2)^2}-\frac{5293 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{21609 \sqrt{21}}",1,"(-5293*Sqrt[1 - 2*x])/(18522*(2 + 3*x)^2) - (5293*Sqrt[1 - 2*x])/(43218*(2 + 3*x)) + (Sqrt[1 - 2*x]*(3 + 5*x)^2)/(105*(2 + 3*x)^5) + (Sqrt[1 - 2*x]*(1255 + 1971*x))/(6615*(2 + 3*x)^4) - (5293*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(21609*Sqrt[21])","A",6,5,24,0.2083,1,"{98, 145, 51, 63, 206}"
2035,1,132,0,0.1431106,"\int \frac{(a+b x)^2}{(c+d x)^2 \sqrt{e+f x}} \, dx","Int[(a + b*x)^2/((c + d*x)^2*Sqrt[e + f*x]),x]","-\frac{\sqrt{e+f x} (b c-a d)^2}{d^2 (c+d x) (d e-c f)}+\frac{(b c-a d) (-a d f-3 b c f+4 b d e) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{5/2} (d e-c f)^{3/2}}+\frac{2 b^2 \sqrt{e+f x}}{d^2 f}","-\frac{\sqrt{e+f x} (b c-a d)^2}{d^2 (c+d x) (d e-c f)}+\frac{(b c-a d) (-a d f-3 b c f+4 b d e) \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{e+f x}}{\sqrt{d e-c f}}\right)}{d^{5/2} (d e-c f)^{3/2}}+\frac{2 b^2 \sqrt{e+f x}}{d^2 f}",1,"(2*b^2*Sqrt[e + f*x])/(d^2*f) - ((b*c - a*d)^2*Sqrt[e + f*x])/(d^2*(d*e - c*f)*(c + d*x)) + ((b*c - a*d)*(4*b*d*e - 3*b*c*f - a*d*f)*ArcTanh[(Sqrt[d]*Sqrt[e + f*x])/Sqrt[d*e - c*f]])/(d^(5/2)*(d*e - c*f)^(3/2))","A",4,4,24,0.1667,1,"{89, 80, 63, 208}"
2036,1,93,0,0.0272446,"\int \frac{(2+3 x)^5}{\sqrt{1-2 x} (3+5 x)} \, dx","Int[(2 + 3*x)^5/(Sqrt[1 - 2*x]*(3 + 5*x)),x]","-\frac{27}{80} (1-2 x)^{9/2}+\frac{5751 (1-2 x)^{7/2}}{1400}-\frac{51057 (1-2 x)^{5/2}}{2500}+\frac{268707 (1-2 x)^{3/2}}{5000}-\frac{4774713 \sqrt{1-2 x}}{50000}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125 \sqrt{55}}","-\frac{27}{80} (1-2 x)^{9/2}+\frac{5751 (1-2 x)^{7/2}}{1400}-\frac{51057 (1-2 x)^{5/2}}{2500}+\frac{268707 (1-2 x)^{3/2}}{5000}-\frac{4774713 \sqrt{1-2 x}}{50000}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3125 \sqrt{55}}",1,"(-4774713*Sqrt[1 - 2*x])/50000 + (268707*(1 - 2*x)^(3/2))/5000 - (51057*(1 - 2*x)^(5/2))/2500 + (5751*(1 - 2*x)^(7/2))/1400 - (27*(1 - 2*x)^(9/2))/80 - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(3125*Sqrt[55])","A",4,3,24,0.1250,1,"{88, 63, 206}"
2037,1,80,0,0.0252415,"\int \frac{(2+3 x)^4}{\sqrt{1-2 x} (3+5 x)} \, dx","Int[(2 + 3*x)^4/(Sqrt[1 - 2*x]*(3 + 5*x)),x]","\frac{81}{280} (1-2 x)^{7/2}-\frac{2889 (1-2 x)^{5/2}}{1000}+\frac{11457 (1-2 x)^{3/2}}{1000}-\frac{136419 \sqrt{1-2 x}}{5000}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{625 \sqrt{55}}","\frac{81}{280} (1-2 x)^{7/2}-\frac{2889 (1-2 x)^{5/2}}{1000}+\frac{11457 (1-2 x)^{3/2}}{1000}-\frac{136419 \sqrt{1-2 x}}{5000}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{625 \sqrt{55}}",1,"(-136419*Sqrt[1 - 2*x])/5000 + (11457*(1 - 2*x)^(3/2))/1000 - (2889*(1 - 2*x)^(5/2))/1000 + (81*(1 - 2*x)^(7/2))/280 - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(625*Sqrt[55])","A",4,3,24,0.1250,1,"{88, 63, 206}"
2038,1,67,0,0.0225344,"\int \frac{(2+3 x)^3}{\sqrt{1-2 x} (3+5 x)} \, dx","Int[(2 + 3*x)^3/(Sqrt[1 - 2*x]*(3 + 5*x)),x]","-\frac{27}{100} (1-2 x)^{5/2}+\frac{54}{25} (1-2 x)^{3/2}-\frac{3897}{500} \sqrt{1-2 x}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{125 \sqrt{55}}","-\frac{27}{100} (1-2 x)^{5/2}+\frac{54}{25} (1-2 x)^{3/2}-\frac{3897}{500} \sqrt{1-2 x}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{125 \sqrt{55}}",1,"(-3897*Sqrt[1 - 2*x])/500 + (54*(1 - 2*x)^(3/2))/25 - (27*(1 - 2*x)^(5/2))/100 - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(125*Sqrt[55])","A",4,3,24,0.1250,1,"{88, 63, 206}"
2039,1,54,0,0.022043,"\int \frac{(2+3 x)^2}{\sqrt{1-2 x} (3+5 x)} \, dx","Int[(2 + 3*x)^2/(Sqrt[1 - 2*x]*(3 + 5*x)),x]","\frac{3}{10} (1-2 x)^{3/2}-\frac{111}{50} \sqrt{1-2 x}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{25 \sqrt{55}}","\frac{3}{10} (1-2 x)^{3/2}-\frac{111}{50} \sqrt{1-2 x}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{25 \sqrt{55}}",1,"(-111*Sqrt[1 - 2*x])/50 + (3*(1 - 2*x)^(3/2))/10 - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(25*Sqrt[55])","A",4,3,24,0.1250,1,"{88, 63, 206}"
2040,1,41,0,0.0093652,"\int \frac{2+3 x}{\sqrt{1-2 x} (3+5 x)} \, dx","Int[(2 + 3*x)/(Sqrt[1 - 2*x]*(3 + 5*x)),x]","-\frac{3}{5} \sqrt{1-2 x}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{5 \sqrt{55}}","-\frac{3}{5} \sqrt{1-2 x}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{5 \sqrt{55}}",1,"(-3*Sqrt[1 - 2*x])/5 - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(5*Sqrt[55])","A",3,3,22,0.1364,1,"{80, 63, 206}"
2041,1,25,0,0.0053159,"\int \frac{1}{\sqrt{1-2 x} (3+5 x)} \, dx","Int[1/(Sqrt[1 - 2*x]*(3 + 5*x)),x]","-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{\sqrt{55}}","-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{\sqrt{55}}",1,"(-2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/Sqrt[55]","A",2,2,17,0.1176,1,"{63, 206}"
2042,1,55,0,0.0154909,"\int \frac{1}{\sqrt{1-2 x} (2+3 x) (3+5 x)} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)),x]","2 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-2 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","2 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-2 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"2*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] - 2*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",5,3,24,0.1250,1,"{86, 63, 206}"
2043,1,77,0,0.0268644,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^2 (3+5 x)} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)),x]","\frac{3 \sqrt{1-2 x}}{7 (3 x+2)}+\frac{72}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-10 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{3 \sqrt{1-2 x}}{7 (3 x+2)}+\frac{72}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-10 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(3*Sqrt[1 - 2*x])/(7*(2 + 3*x)) + (72*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/7 - 10*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",6,4,24,0.1667,1,"{103, 156, 63, 206}"
2044,1,97,0,0.0359745,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^3 (3+5 x)} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^3*(3 + 5*x)),x]","\frac{219 \sqrt{1-2 x}}{98 (3 x+2)}+\frac{3 \sqrt{1-2 x}}{14 (3 x+2)^2}+\frac{2523}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-50 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{219 \sqrt{1-2 x}}{98 (3 x+2)}+\frac{3 \sqrt{1-2 x}}{14 (3 x+2)^2}+\frac{2523}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-50 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(3*Sqrt[1 - 2*x])/(14*(2 + 3*x)^2) + (219*Sqrt[1 - 2*x])/(98*(2 + 3*x)) + (2523*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/49 - 50*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",7,5,24,0.2083,1,"{103, 151, 156, 63, 206}"
2045,1,117,0,0.0477497,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^4 (3+5 x)} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^4*(3 + 5*x)),x]","\frac{3840 \sqrt{1-2 x}}{343 (3 x+2)}+\frac{55 \sqrt{1-2 x}}{49 (3 x+2)^2}+\frac{\sqrt{1-2 x}}{7 (3 x+2)^3}+\frac{88310}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-250 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{3840 \sqrt{1-2 x}}{343 (3 x+2)}+\frac{55 \sqrt{1-2 x}}{49 (3 x+2)^2}+\frac{\sqrt{1-2 x}}{7 (3 x+2)^3}+\frac{88310}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-250 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"Sqrt[1 - 2*x]/(7*(2 + 3*x)^3) + (55*Sqrt[1 - 2*x])/(49*(2 + 3*x)^2) + (3840*Sqrt[1 - 2*x])/(343*(2 + 3*x)) + (88310*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343 - 250*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",8,5,24,0.2083,1,"{103, 151, 156, 63, 206}"
2046,1,137,0,0.0566626,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^5 (3+5 x)} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^5*(3 + 5*x)),x]","\frac{3135 \sqrt{1-2 x}}{56 (3 x+2)}+\frac{45 \sqrt{1-2 x}}{8 (3 x+2)^2}+\frac{3 \sqrt{1-2 x}}{4 (3 x+2)^3}+\frac{3 \sqrt{1-2 x}}{28 (3 x+2)^4}+\frac{36045}{28} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-1250 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{3135 \sqrt{1-2 x}}{56 (3 x+2)}+\frac{45 \sqrt{1-2 x}}{8 (3 x+2)^2}+\frac{3 \sqrt{1-2 x}}{4 (3 x+2)^3}+\frac{3 \sqrt{1-2 x}}{28 (3 x+2)^4}+\frac{36045}{28} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-1250 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(3*Sqrt[1 - 2*x])/(28*(2 + 3*x)^4) + (3*Sqrt[1 - 2*x])/(4*(2 + 3*x)^3) + (45*Sqrt[1 - 2*x])/(8*(2 + 3*x)^2) + (3135*Sqrt[1 - 2*x])/(56*(2 + 3*x)) + (36045*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/28 - 1250*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]]","A",9,5,24,0.2083,1,"{103, 151, 156, 63, 206}"
2047,1,133,0,0.0491521,"\int \frac{(2+3 x)^6}{\sqrt{1-2 x} (3+5 x)^2} \, dx","Int[(2 + 3*x)^6/(Sqrt[1 - 2*x]*(3 + 5*x)^2),x]","-\frac{\sqrt{1-2 x} (3 x+2)^5}{55 (5 x+3)}-\frac{8}{275} \sqrt{1-2 x} (3 x+2)^4-\frac{1717 \sqrt{1-2 x} (3 x+2)^3}{9625}-\frac{26352 \sqrt{1-2 x} (3 x+2)^2}{34375}-\frac{3 \sqrt{1-2 x} (615875 x+1847824)}{171875}-\frac{398 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{171875 \sqrt{55}}","-\frac{\sqrt{1-2 x} (3 x+2)^5}{55 (5 x+3)}-\frac{8}{275} \sqrt{1-2 x} (3 x+2)^4-\frac{1717 \sqrt{1-2 x} (3 x+2)^3}{9625}-\frac{26352 \sqrt{1-2 x} (3 x+2)^2}{34375}-\frac{3 \sqrt{1-2 x} (615875 x+1847824)}{171875}-\frac{398 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{171875 \sqrt{55}}",1,"(-26352*Sqrt[1 - 2*x]*(2 + 3*x)^2)/34375 - (1717*Sqrt[1 - 2*x]*(2 + 3*x)^3)/9625 - (8*Sqrt[1 - 2*x]*(2 + 3*x)^4)/275 - (Sqrt[1 - 2*x]*(2 + 3*x)^5)/(55*(3 + 5*x)) - (3*Sqrt[1 - 2*x]*(1847824 + 615875*x))/171875 - (398*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(171875*Sqrt[55])","A",7,5,24,0.2083,1,"{98, 153, 147, 63, 206}"
2048,1,113,0,0.0368678,"\int \frac{(2+3 x)^5}{\sqrt{1-2 x} (3+5 x)^2} \, dx","Int[(2 + 3*x)^5/(Sqrt[1 - 2*x]*(3 + 5*x)^2),x]","-\frac{\sqrt{1-2 x} (3 x+2)^4}{55 (5 x+3)}-\frac{78 \sqrt{1-2 x} (3 x+2)^3}{1925}-\frac{1668 \sqrt{1-2 x} (3 x+2)^2}{6875}-\frac{6 \sqrt{1-2 x} (19875 x+59708)}{34375}-\frac{332 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{34375 \sqrt{55}}","-\frac{\sqrt{1-2 x} (3 x+2)^4}{55 (5 x+3)}-\frac{78 \sqrt{1-2 x} (3 x+2)^3}{1925}-\frac{1668 \sqrt{1-2 x} (3 x+2)^2}{6875}-\frac{6 \sqrt{1-2 x} (19875 x+59708)}{34375}-\frac{332 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{34375 \sqrt{55}}",1,"(-1668*Sqrt[1 - 2*x]*(2 + 3*x)^2)/6875 - (78*Sqrt[1 - 2*x]*(2 + 3*x)^3)/1925 - (Sqrt[1 - 2*x]*(2 + 3*x)^4)/(55*(3 + 5*x)) - (6*Sqrt[1 - 2*x]*(59708 + 19875*x))/34375 - (332*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(34375*Sqrt[55])","A",6,5,24,0.2083,1,"{98, 153, 147, 63, 206}"
2049,1,93,0,0.0272588,"\int \frac{(2+3 x)^4}{\sqrt{1-2 x} (3+5 x)^2} \, dx","Int[(2 + 3*x)^4/(Sqrt[1 - 2*x]*(3 + 5*x)^2),x]","-\frac{\sqrt{1-2 x} (3 x+2)^3}{55 (5 x+3)}-\frac{84 \sqrt{1-2 x} (3 x+2)^2}{1375}-\frac{21 \sqrt{1-2 x} (375 x+1144)}{6875}-\frac{266 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{6875 \sqrt{55}}","-\frac{\sqrt{1-2 x} (3 x+2)^3}{55 (5 x+3)}-\frac{84 \sqrt{1-2 x} (3 x+2)^2}{1375}-\frac{21 \sqrt{1-2 x} (375 x+1144)}{6875}-\frac{266 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{6875 \sqrt{55}}",1,"(-84*Sqrt[1 - 2*x]*(2 + 3*x)^2)/1375 - (Sqrt[1 - 2*x]*(2 + 3*x)^3)/(55*(3 + 5*x)) - (21*Sqrt[1 - 2*x]*(1144 + 375*x))/6875 - (266*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(6875*Sqrt[55])","A",5,5,24,0.2083,1,"{98, 153, 147, 63, 206}"
2050,1,73,0,0.0175817,"\int \frac{(2+3 x)^3}{\sqrt{1-2 x} (3+5 x)^2} \, dx","Int[(2 + 3*x)^3/(Sqrt[1 - 2*x]*(3 + 5*x)^2),x]","-\frac{\sqrt{1-2 x} (3 x+2)^2}{55 (5 x+3)}-\frac{6}{55} \sqrt{1-2 x} (3 x+11)-\frac{8 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{55 \sqrt{55}}","-\frac{\sqrt{1-2 x} (3 x+2)^2}{55 (5 x+3)}-\frac{6}{55} \sqrt{1-2 x} (3 x+11)-\frac{8 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{55 \sqrt{55}}",1,"(-6*Sqrt[1 - 2*x]*(11 + 3*x))/55 - (Sqrt[1 - 2*x]*(2 + 3*x)^2)/(55*(3 + 5*x)) - (8*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(55*Sqrt[55])","A",4,4,24,0.1667,1,"{98, 147, 63, 206}"
2051,1,61,0,0.0140236,"\int \frac{(2+3 x)^2}{\sqrt{1-2 x} (3+5 x)^2} \, dx","Int[(2 + 3*x)^2/(Sqrt[1 - 2*x]*(3 + 5*x)^2),x]","-\frac{9}{25} \sqrt{1-2 x}-\frac{\sqrt{1-2 x}}{275 (5 x+3)}-\frac{134 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{275 \sqrt{55}}","-\frac{9}{25} \sqrt{1-2 x}-\frac{\sqrt{1-2 x}}{275 (5 x+3)}-\frac{134 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{275 \sqrt{55}}",1,"(-9*Sqrt[1 - 2*x])/25 - Sqrt[1 - 2*x]/(275*(3 + 5*x)) - (134*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(275*Sqrt[55])","A",4,4,24,0.1667,1,"{89, 80, 63, 206}"
2052,1,48,0,0.0089465,"\int \frac{2+3 x}{\sqrt{1-2 x} (3+5 x)^2} \, dx","Int[(2 + 3*x)/(Sqrt[1 - 2*x]*(3 + 5*x)^2),x]","-\frac{\sqrt{1-2 x}}{55 (5 x+3)}-\frac{68 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{55 \sqrt{55}}","-\frac{\sqrt{1-2 x}}{55 (5 x+3)}-\frac{68 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{55 \sqrt{55}}",1,"-Sqrt[1 - 2*x]/(55*(3 + 5*x)) - (68*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(55*Sqrt[55])","A",3,3,22,0.1364,1,"{78, 63, 206}"
2053,1,48,0,0.008865,"\int \frac{1}{\sqrt{1-2 x} (3+5 x)^2} \, dx","Int[1/(Sqrt[1 - 2*x]*(3 + 5*x)^2),x]","-\frac{\sqrt{1-2 x}}{11 (5 x+3)}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{11 \sqrt{55}}","-\frac{\sqrt{1-2 x}}{11 (5 x+3)}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{11 \sqrt{55}}",1,"-Sqrt[1 - 2*x]/(11*(3 + 5*x)) - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(11*Sqrt[55])","A",3,3,17,0.1765,1,"{51, 63, 206}"
2054,1,77,0,0.026911,"\int \frac{1}{\sqrt{1-2 x} (2+3 x) (3+5 x)^2} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^2),x]","-\frac{5 \sqrt{1-2 x}}{11 (5 x+3)}-6 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{64}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{5 \sqrt{1-2 x}}{11 (5 x+3)}-6 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{64}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-5*Sqrt[1 - 2*x])/(11*(3 + 5*x)) - 6*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] + (64*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/11","A",6,4,24,0.1667,1,"{103, 156, 63, 206}"
2055,1,106,0,0.0364174,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^2 (3+5 x)^2} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^2),x]","-\frac{340 \sqrt{1-2 x}}{77 (5 x+3)}+\frac{3 \sqrt{1-2 x}}{7 (3 x+2) (5 x+3)}-\frac{426}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{650}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{340 \sqrt{1-2 x}}{77 (5 x+3)}+\frac{3 \sqrt{1-2 x}}{7 (3 x+2) (5 x+3)}-\frac{426}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{650}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-340*Sqrt[1 - 2*x])/(77*(3 + 5*x)) + (3*Sqrt[1 - 2*x])/(7*(2 + 3*x)*(3 + 5*x)) - (426*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/7 + (650*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/11","A",7,5,24,0.2083,1,"{103, 151, 156, 63, 206}"
2056,1,133,0,0.0485905,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^3 (3+5 x)^2} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^3*(3 + 5*x)^2),x]","-\frac{35845 \sqrt{1-2 x}}{1078 (5 x+3)}+\frac{162 \sqrt{1-2 x}}{49 (3 x+2) (5 x+3)}+\frac{3 \sqrt{1-2 x}}{14 (3 x+2)^2 (5 x+3)}-\frac{22479}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{4900}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{35845 \sqrt{1-2 x}}{1078 (5 x+3)}+\frac{162 \sqrt{1-2 x}}{49 (3 x+2) (5 x+3)}+\frac{3 \sqrt{1-2 x}}{14 (3 x+2)^2 (5 x+3)}-\frac{22479}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{4900}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-35845*Sqrt[1 - 2*x])/(1078*(3 + 5*x)) + (3*Sqrt[1 - 2*x])/(14*(2 + 3*x)^2*(3 + 5*x)) + (162*Sqrt[1 - 2*x])/(49*(2 + 3*x)*(3 + 5*x)) - (22479*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/49 + (4900*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/11","A",8,5,24,0.2083,1,"{103, 151, 156, 63, 206}"
2057,1,160,0,0.0609598,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^4 (3+5 x)^2} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^4*(3 + 5*x)^2),x]","-\frac{1676975 \sqrt{1-2 x}}{7546 (5 x+3)}+\frac{7585 \sqrt{1-2 x}}{343 (3 x+2) (5 x+3)}+\frac{145 \sqrt{1-2 x}}{98 (3 x+2)^2 (5 x+3)}+\frac{\sqrt{1-2 x}}{7 (3 x+2)^3 (5 x+3)}-\frac{1051695}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{32750}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{1676975 \sqrt{1-2 x}}{7546 (5 x+3)}+\frac{7585 \sqrt{1-2 x}}{343 (3 x+2) (5 x+3)}+\frac{145 \sqrt{1-2 x}}{98 (3 x+2)^2 (5 x+3)}+\frac{\sqrt{1-2 x}}{7 (3 x+2)^3 (5 x+3)}-\frac{1051695}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{32750}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-1676975*Sqrt[1 - 2*x])/(7546*(3 + 5*x)) + Sqrt[1 - 2*x]/(7*(2 + 3*x)^3*(3 + 5*x)) + (145*Sqrt[1 - 2*x])/(98*(2 + 3*x)^2*(3 + 5*x)) + (7585*Sqrt[1 - 2*x])/(343*(2 + 3*x)*(3 + 5*x)) - (1051695*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343 + (32750*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/11","A",9,5,24,0.2083,1,"{103, 151, 156, 63, 206}"
2058,1,140,0,0.0490658,"\int \frac{(2+3 x)^6}{\sqrt{1-2 x} (3+5 x)^3} \, dx","Int[(2 + 3*x)^6/(Sqrt[1 - 2*x]*(3 + 5*x)^3),x]","-\frac{\sqrt{1-2 x} (3 x+2)^5}{110 (5 x+3)^2}-\frac{117 \sqrt{1-2 x} (3 x+2)^4}{3025 (5 x+3)}-\frac{927 \sqrt{1-2 x} (3 x+2)^3}{211750}-\frac{56556 \sqrt{1-2 x} (3 x+2)^2}{378125}-\frac{9 \sqrt{1-2 x} (934875 x+2815648)}{3781250}-\frac{33069 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1890625 \sqrt{55}}","-\frac{\sqrt{1-2 x} (3 x+2)^5}{110 (5 x+3)^2}-\frac{117 \sqrt{1-2 x} (3 x+2)^4}{3025 (5 x+3)}-\frac{927 \sqrt{1-2 x} (3 x+2)^3}{211750}-\frac{56556 \sqrt{1-2 x} (3 x+2)^2}{378125}-\frac{9 \sqrt{1-2 x} (934875 x+2815648)}{3781250}-\frac{33069 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1890625 \sqrt{55}}",1,"(-56556*Sqrt[1 - 2*x]*(2 + 3*x)^2)/378125 - (927*Sqrt[1 - 2*x]*(2 + 3*x)^3)/211750 - (Sqrt[1 - 2*x]*(2 + 3*x)^5)/(110*(3 + 5*x)^2) - (117*Sqrt[1 - 2*x]*(2 + 3*x)^4)/(3025*(3 + 5*x)) - (9*Sqrt[1 - 2*x]*(2815648 + 934875*x))/3781250 - (33069*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(1890625*Sqrt[55])","A",7,6,24,0.2500,1,"{98, 149, 153, 147, 63, 206}"
2059,1,120,0,0.0402599,"\int \frac{(2+3 x)^5}{\sqrt{1-2 x} (3+5 x)^3} \, dx","Int[(2 + 3*x)^5/(Sqrt[1 - 2*x]*(3 + 5*x)^3),x]","-\frac{\sqrt{1-2 x} (3 x+2)^4}{110 (5 x+3)^2}-\frac{201 \sqrt{1-2 x} (3 x+2)^3}{6050 (5 x+3)}-\frac{1512 \sqrt{1-2 x} (3 x+2)^2}{75625}-\frac{189 \sqrt{1-2 x} (2875 x+8976)}{756250}-\frac{22113 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{378125 \sqrt{55}}","-\frac{\sqrt{1-2 x} (3 x+2)^4}{110 (5 x+3)^2}-\frac{201 \sqrt{1-2 x} (3 x+2)^3}{6050 (5 x+3)}-\frac{1512 \sqrt{1-2 x} (3 x+2)^2}{75625}-\frac{189 \sqrt{1-2 x} (2875 x+8976)}{756250}-\frac{22113 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{378125 \sqrt{55}}",1,"(-1512*Sqrt[1 - 2*x]*(2 + 3*x)^2)/75625 - (Sqrt[1 - 2*x]*(2 + 3*x)^4)/(110*(3 + 5*x)^2) - (201*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(6050*(3 + 5*x)) - (189*Sqrt[1 - 2*x]*(8976 + 2875*x))/756250 - (22113*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(378125*Sqrt[55])","A",6,6,24,0.2500,1,"{98, 149, 153, 147, 63, 206}"
2060,1,100,0,0.0286408,"\int \frac{(2+3 x)^4}{\sqrt{1-2 x} (3+5 x)^3} \, dx","Int[(2 + 3*x)^4/(Sqrt[1 - 2*x]*(3 + 5*x)^3),x]","-\frac{\sqrt{1-2 x} (3 x+2)^3}{110 (5 x+3)^2}-\frac{84 \sqrt{1-2 x} (3 x+2)^2}{3025 (5 x+3)}-\frac{63 \sqrt{1-2 x} (75 x+352)}{30250}-\frac{2667 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15125 \sqrt{55}}","-\frac{\sqrt{1-2 x} (3 x+2)^3}{110 (5 x+3)^2}-\frac{84 \sqrt{1-2 x} (3 x+2)^2}{3025 (5 x+3)}-\frac{63 \sqrt{1-2 x} (75 x+352)}{30250}-\frac{2667 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15125 \sqrt{55}}",1,"-(Sqrt[1 - 2*x]*(2 + 3*x)^3)/(110*(3 + 5*x)^2) - (84*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(3025*(3 + 5*x)) - (63*Sqrt[1 - 2*x]*(352 + 75*x))/30250 - (2667*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(15125*Sqrt[55])","A",5,5,24,0.2083,1,"{98, 149, 147, 63, 206}"
2061,1,80,0,0.0183321,"\int \frac{(2+3 x)^3}{\sqrt{1-2 x} (3+5 x)^3} \, dx","Int[(2 + 3*x)^3/(Sqrt[1 - 2*x]*(3 + 5*x)^3),x]","-\frac{\sqrt{1-2 x} (3 x+2)^2}{110 (5 x+3)^2}-\frac{9 \sqrt{1-2 x} (715 x+432)}{6050 (5 x+3)}-\frac{1347 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3025 \sqrt{55}}","-\frac{\sqrt{1-2 x} (3 x+2)^2}{110 (5 x+3)^2}-\frac{9 \sqrt{1-2 x} (715 x+432)}{6050 (5 x+3)}-\frac{1347 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3025 \sqrt{55}}",1,"-(Sqrt[1 - 2*x]*(2 + 3*x)^2)/(110*(3 + 5*x)^2) - (9*Sqrt[1 - 2*x]*(432 + 715*x))/(6050*(3 + 5*x)) - (1347*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(3025*Sqrt[55])","A",4,4,24,0.1667,1,"{98, 146, 63, 206}"
2062,1,68,0,0.0154342,"\int \frac{(2+3 x)^2}{\sqrt{1-2 x} (3+5 x)^3} \, dx","Int[(2 + 3*x)^2/(Sqrt[1 - 2*x]*(3 + 5*x)^3),x]","-\frac{27 \sqrt{1-2 x}}{1210 (5 x+3)}-\frac{\sqrt{1-2 x}}{550 (5 x+3)^2}-\frac{2313 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3025 \sqrt{55}}","-\frac{27 \sqrt{1-2 x}}{1210 (5 x+3)}-\frac{\sqrt{1-2 x}}{550 (5 x+3)^2}-\frac{2313 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3025 \sqrt{55}}",1,"-Sqrt[1 - 2*x]/(550*(3 + 5*x)^2) - (27*Sqrt[1 - 2*x])/(1210*(3 + 5*x)) - (2313*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(3025*Sqrt[55])","A",4,4,24,0.1667,1,"{89, 78, 63, 206}"
2063,1,68,0,0.0147039,"\int \frac{2+3 x}{\sqrt{1-2 x} (3+5 x)^3} \, dx","Int[(2 + 3*x)/(Sqrt[1 - 2*x]*(3 + 5*x)^3),x]","-\frac{69 \sqrt{1-2 x}}{1210 (5 x+3)}-\frac{\sqrt{1-2 x}}{110 (5 x+3)^2}-\frac{69 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{605 \sqrt{55}}","-\frac{69 \sqrt{1-2 x}}{1210 (5 x+3)}-\frac{\sqrt{1-2 x}}{110 (5 x+3)^2}-\frac{69 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{605 \sqrt{55}}",1,"-Sqrt[1 - 2*x]/(110*(3 + 5*x)^2) - (69*Sqrt[1 - 2*x])/(1210*(3 + 5*x)) - (69*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(605*Sqrt[55])","A",4,4,22,0.1818,1,"{78, 51, 63, 206}"
2064,1,68,0,0.0142297,"\int \frac{1}{\sqrt{1-2 x} (3+5 x)^3} \, dx","Int[1/(Sqrt[1 - 2*x]*(3 + 5*x)^3),x]","-\frac{3 \sqrt{1-2 x}}{242 (5 x+3)}-\frac{\sqrt{1-2 x}}{22 (5 x+3)^2}-\frac{3 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{121 \sqrt{55}}","-\frac{3 \sqrt{1-2 x}}{242 (5 x+3)}-\frac{\sqrt{1-2 x}}{22 (5 x+3)^2}-\frac{3 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{121 \sqrt{55}}",1,"-Sqrt[1 - 2*x]/(22*(3 + 5*x)^2) - (3*Sqrt[1 - 2*x])/(242*(3 + 5*x)) - (3*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(121*Sqrt[55])","A",4,3,17,0.1765,1,"{51, 63, 206}"
2065,1,97,0,0.0351119,"\int \frac{1}{\sqrt{1-2 x} (2+3 x) (3+5 x)^3} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^3),x]","\frac{315 \sqrt{1-2 x}}{242 (5 x+3)}-\frac{5 \sqrt{1-2 x}}{22 (5 x+3)^2}+18 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{2115}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{315 \sqrt{1-2 x}}{242 (5 x+3)}-\frac{5 \sqrt{1-2 x}}{22 (5 x+3)^2}+18 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{2115}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-5*Sqrt[1 - 2*x])/(22*(3 + 5*x)^2) + (315*Sqrt[1 - 2*x])/(242*(3 + 5*x)) + 18*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]] - (2115*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/121","A",7,5,24,0.2083,1,"{103, 151, 156, 63, 206}"
2066,1,126,0,0.0482673,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^2 (3+5 x)^3} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^3),x]","\frac{33465 \sqrt{1-2 x}}{1694 (5 x+3)}-\frac{505 \sqrt{1-2 x}}{154 (5 x+3)^2}+\frac{3 \sqrt{1-2 x}}{7 (3 x+2) (5 x+3)^2}+\frac{1908}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{32025}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{33465 \sqrt{1-2 x}}{1694 (5 x+3)}-\frac{505 \sqrt{1-2 x}}{154 (5 x+3)^2}+\frac{3 \sqrt{1-2 x}}{7 (3 x+2) (5 x+3)^2}+\frac{1908}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{32025}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-505*Sqrt[1 - 2*x])/(154*(3 + 5*x)^2) + (3*Sqrt[1 - 2*x])/(7*(2 + 3*x)*(3 + 5*x)^2) + (33465*Sqrt[1 - 2*x])/(1694*(3 + 5*x)) + (1908*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/7 - (32025*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/121","A",8,5,24,0.2083,1,"{103, 151, 156, 63, 206}"
2067,1,153,0,0.0592094,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^3 (3+5 x)^3} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^3*(3 + 5*x)^3),x]","\frac{1177080 \sqrt{1-2 x}}{5929 (5 x+3)}-\frac{35495 \sqrt{1-2 x}}{1078 (5 x+3)^2}+\frac{429 \sqrt{1-2 x}}{98 (3 x+2) (5 x+3)^2}+\frac{3 \sqrt{1-2 x}}{14 (3 x+2)^2 (5 x+3)^2}+\frac{134217}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{321825}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{1177080 \sqrt{1-2 x}}{5929 (5 x+3)}-\frac{35495 \sqrt{1-2 x}}{1078 (5 x+3)^2}+\frac{429 \sqrt{1-2 x}}{98 (3 x+2) (5 x+3)^2}+\frac{3 \sqrt{1-2 x}}{14 (3 x+2)^2 (5 x+3)^2}+\frac{134217}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{321825}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-35495*Sqrt[1 - 2*x])/(1078*(3 + 5*x)^2) + (3*Sqrt[1 - 2*x])/(14*(2 + 3*x)^2*(3 + 5*x)^2) + (429*Sqrt[1 - 2*x])/(98*(2 + 3*x)*(3 + 5*x)^2) + (1177080*Sqrt[1 - 2*x])/(5929*(3 + 5*x)) + (134217*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/49 - (321825*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/121","A",9,5,24,0.2083,1,"{103, 151, 156, 63, 206}"
2068,1,180,0,0.0713214,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^4 (3+5 x)^3} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^4*(3 + 5*x)^3),x]","\frac{137735775 \sqrt{1-2 x}}{83006 (5 x+3)}-\frac{2076675 \sqrt{1-2 x}}{7546 (5 x+3)^2}+\frac{12555 \sqrt{1-2 x}}{343 (3 x+2) (5 x+3)^2}+\frac{90 \sqrt{1-2 x}}{49 (3 x+2)^2 (5 x+3)^2}+\frac{\sqrt{1-2 x}}{7 (3 x+2)^3 (5 x+3)^2}+\frac{7852680}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{2689875}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{137735775 \sqrt{1-2 x}}{83006 (5 x+3)}-\frac{2076675 \sqrt{1-2 x}}{7546 (5 x+3)^2}+\frac{12555 \sqrt{1-2 x}}{343 (3 x+2) (5 x+3)^2}+\frac{90 \sqrt{1-2 x}}{49 (3 x+2)^2 (5 x+3)^2}+\frac{\sqrt{1-2 x}}{7 (3 x+2)^3 (5 x+3)^2}+\frac{7852680}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{2689875}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"(-2076675*Sqrt[1 - 2*x])/(7546*(3 + 5*x)^2) + Sqrt[1 - 2*x]/(7*(2 + 3*x)^3*(3 + 5*x)^2) + (90*Sqrt[1 - 2*x])/(49*(2 + 3*x)^2*(3 + 5*x)^2) + (12555*Sqrt[1 - 2*x])/(343*(2 + 3*x)*(3 + 5*x)^2) + (137735775*Sqrt[1 - 2*x])/(83006*(3 + 5*x)) + (7852680*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343 - (2689875*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/121","A",10,5,24,0.2083,1,"{103, 151, 156, 63, 206}"
2069,1,118,0,0.0199785,"\int \frac{(2+3 x)^7 (3+5 x)}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^7*(3 + 5*x))/(1 - 2*x)^(3/2),x]","-\frac{729}{256} (1-2 x)^{15/2}+\frac{101331 (1-2 x)^{13/2}}{1664}-\frac{821583 (1-2 x)^{11/2}}{1408}+\frac{422919}{128} (1-2 x)^{9/2}-\frac{787185}{64} (1-2 x)^{7/2}+\frac{4084101}{128} (1-2 x)^{5/2}-\frac{7882483}{128} (1-2 x)^{3/2}+\frac{15647317}{128} \sqrt{1-2 x}+\frac{9058973}{256 \sqrt{1-2 x}}","-\frac{729}{256} (1-2 x)^{15/2}+\frac{101331 (1-2 x)^{13/2}}{1664}-\frac{821583 (1-2 x)^{11/2}}{1408}+\frac{422919}{128} (1-2 x)^{9/2}-\frac{787185}{64} (1-2 x)^{7/2}+\frac{4084101}{128} (1-2 x)^{5/2}-\frac{7882483}{128} (1-2 x)^{3/2}+\frac{15647317}{128} \sqrt{1-2 x}+\frac{9058973}{256 \sqrt{1-2 x}}",1,"9058973/(256*Sqrt[1 - 2*x]) + (15647317*Sqrt[1 - 2*x])/128 - (7882483*(1 - 2*x)^(3/2))/128 + (4084101*(1 - 2*x)^(5/2))/128 - (787185*(1 - 2*x)^(7/2))/64 + (422919*(1 - 2*x)^(9/2))/128 - (821583*(1 - 2*x)^(11/2))/1408 + (101331*(1 - 2*x)^(13/2))/1664 - (729*(1 - 2*x)^(15/2))/256","A",2,1,22,0.04545,1,"{77}"
2070,1,105,0,0.0180748,"\int \frac{(2+3 x)^6 (3+5 x)}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^6*(3 + 5*x))/(1 - 2*x)^(3/2),x]","\frac{3645 (1-2 x)^{13/2}}{1664}-\frac{59049 (1-2 x)^{11/2}}{1408}+\frac{45549}{128} (1-2 x)^{9/2}-\frac{225855}{128} (1-2 x)^{7/2}+\frac{731619}{128} (1-2 x)^{5/2}-\frac{1692705}{128} (1-2 x)^{3/2}+\frac{3916031}{128} \sqrt{1-2 x}+\frac{1294139}{128 \sqrt{1-2 x}}","\frac{3645 (1-2 x)^{13/2}}{1664}-\frac{59049 (1-2 x)^{11/2}}{1408}+\frac{45549}{128} (1-2 x)^{9/2}-\frac{225855}{128} (1-2 x)^{7/2}+\frac{731619}{128} (1-2 x)^{5/2}-\frac{1692705}{128} (1-2 x)^{3/2}+\frac{3916031}{128} \sqrt{1-2 x}+\frac{1294139}{128 \sqrt{1-2 x}}",1,"1294139/(128*Sqrt[1 - 2*x]) + (3916031*Sqrt[1 - 2*x])/128 - (1692705*(1 - 2*x)^(3/2))/128 + (731619*(1 - 2*x)^(5/2))/128 - (225855*(1 - 2*x)^(7/2))/128 + (45549*(1 - 2*x)^(9/2))/128 - (59049*(1 - 2*x)^(11/2))/1408 + (3645*(1 - 2*x)^(13/2))/1664","A",2,1,22,0.04545,1,"{77}"
2071,1,92,0,0.0158934,"\int \frac{(2+3 x)^5 (3+5 x)}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^5*(3 + 5*x))/(1 - 2*x)^(3/2),x]","-\frac{1215}{704} (1-2 x)^{11/2}+\frac{117}{4} (1-2 x)^{9/2}-\frac{13905}{64} (1-2 x)^{7/2}+\frac{7497}{8} (1-2 x)^{5/2}-\frac{173215}{64} (1-2 x)^{3/2}+\frac{60025}{8} \sqrt{1-2 x}+\frac{184877}{64 \sqrt{1-2 x}}","-\frac{1215}{704} (1-2 x)^{11/2}+\frac{117}{4} (1-2 x)^{9/2}-\frac{13905}{64} (1-2 x)^{7/2}+\frac{7497}{8} (1-2 x)^{5/2}-\frac{173215}{64} (1-2 x)^{3/2}+\frac{60025}{8} \sqrt{1-2 x}+\frac{184877}{64 \sqrt{1-2 x}}",1,"184877/(64*Sqrt[1 - 2*x]) + (60025*Sqrt[1 - 2*x])/8 - (173215*(1 - 2*x)^(3/2))/64 + (7497*(1 - 2*x)^(5/2))/8 - (13905*(1 - 2*x)^(7/2))/64 + (117*(1 - 2*x)^(9/2))/4 - (1215*(1 - 2*x)^(11/2))/704","A",2,1,22,0.04545,1,"{77}"
2072,1,79,0,0.0136894,"\int \frac{(2+3 x)^4 (3+5 x)}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^4*(3 + 5*x))/(1 - 2*x)^(3/2),x]","\frac{45}{32} (1-2 x)^{9/2}-\frac{4671}{224} (1-2 x)^{7/2}+\frac{10773}{80} (1-2 x)^{5/2}-\frac{8281}{16} (1-2 x)^{3/2}+\frac{57281}{32} \sqrt{1-2 x}+\frac{26411}{32 \sqrt{1-2 x}}","\frac{45}{32} (1-2 x)^{9/2}-\frac{4671}{224} (1-2 x)^{7/2}+\frac{10773}{80} (1-2 x)^{5/2}-\frac{8281}{16} (1-2 x)^{3/2}+\frac{57281}{32} \sqrt{1-2 x}+\frac{26411}{32 \sqrt{1-2 x}}",1,"26411/(32*Sqrt[1 - 2*x]) + (57281*Sqrt[1 - 2*x])/32 - (8281*(1 - 2*x)^(3/2))/16 + (10773*(1 - 2*x)^(5/2))/80 - (4671*(1 - 2*x)^(7/2))/224 + (45*(1 - 2*x)^(9/2))/32","A",2,1,22,0.04545,1,"{77}"
2073,1,66,0,0.0119846,"\int \frac{(2+3 x)^3 (3+5 x)}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x))/(1 - 2*x)^(3/2),x]","-\frac{135}{112} (1-2 x)^{7/2}+\frac{621}{40} (1-2 x)^{5/2}-\frac{357}{4} (1-2 x)^{3/2}+\frac{3283}{8} \sqrt{1-2 x}+\frac{3773}{16 \sqrt{1-2 x}}","-\frac{135}{112} (1-2 x)^{7/2}+\frac{621}{40} (1-2 x)^{5/2}-\frac{357}{4} (1-2 x)^{3/2}+\frac{3283}{8} \sqrt{1-2 x}+\frac{3773}{16 \sqrt{1-2 x}}",1,"3773/(16*Sqrt[1 - 2*x]) + (3283*Sqrt[1 - 2*x])/8 - (357*(1 - 2*x)^(3/2))/4 + (621*(1 - 2*x)^(5/2))/40 - (135*(1 - 2*x)^(7/2))/112","A",2,1,22,0.04545,1,"{77}"
2074,1,53,0,0.0098294,"\int \frac{(2+3 x)^2 (3+5 x)}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x))/(1 - 2*x)^(3/2),x]","\frac{9}{8} (1-2 x)^{5/2}-\frac{103}{8} (1-2 x)^{3/2}+\frac{707}{8} \sqrt{1-2 x}+\frac{539}{8 \sqrt{1-2 x}}","\frac{9}{8} (1-2 x)^{5/2}-\frac{103}{8} (1-2 x)^{3/2}+\frac{707}{8} \sqrt{1-2 x}+\frac{539}{8 \sqrt{1-2 x}}",1,"539/(8*Sqrt[1 - 2*x]) + (707*Sqrt[1 - 2*x])/8 - (103*(1 - 2*x)^(3/2))/8 + (9*(1 - 2*x)^(5/2))/8","A",2,1,22,0.04545,1,"{77}"
2075,1,38,0,0.0080628,"\int \frac{(2+3 x) (3+5 x)}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)*(3 + 5*x))/(1 - 2*x)^(3/2),x]","-\frac{5}{4} (1-2 x)^{3/2}+17 \sqrt{1-2 x}+\frac{77}{4 \sqrt{1-2 x}}","-\frac{5}{4} (1-2 x)^{3/2}+17 \sqrt{1-2 x}+\frac{77}{4 \sqrt{1-2 x}}",1,"77/(4*Sqrt[1 - 2*x]) + 17*Sqrt[1 - 2*x] - (5*(1 - 2*x)^(3/2))/4","A",2,1,20,0.05000,1,"{77}"
2076,1,27,0,0.0059016,"\int \frac{3+5 x}{(1-2 x)^{3/2}} \, dx","Int[(3 + 5*x)/(1 - 2*x)^(3/2),x]","\frac{5}{2} \sqrt{1-2 x}+\frac{11}{2 \sqrt{1-2 x}}","\frac{5}{2} \sqrt{1-2 x}+\frac{11}{2 \sqrt{1-2 x}}",1,"11/(2*Sqrt[1 - 2*x]) + (5*Sqrt[1 - 2*x])/2","A",2,1,15,0.06667,1,"{43}"
2077,1,41,0,0.0084468,"\int \frac{3+5 x}{(1-2 x)^{3/2} (2+3 x)} \, dx","Int[(3 + 5*x)/((1 - 2*x)^(3/2)*(2 + 3*x)),x]","\frac{11}{7 \sqrt{1-2 x}}+\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{7 \sqrt{21}}","\frac{11}{7 \sqrt{1-2 x}}+\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{7 \sqrt{21}}",1,"11/(7*Sqrt[1 - 2*x]) + (2*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(7*Sqrt[21])","A",3,3,22,0.1364,1,"{78, 63, 206}"
2078,1,61,0,0.0130735,"\int \frac{3+5 x}{(1-2 x)^{3/2} (2+3 x)^2} \, dx","Int[(3 + 5*x)/((1 - 2*x)^(3/2)*(2 + 3*x)^2),x]","\frac{64}{147 \sqrt{1-2 x}}+\frac{1}{21 \sqrt{1-2 x} (3 x+2)}-\frac{64 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{49 \sqrt{21}}","\frac{64}{147 \sqrt{1-2 x}}+\frac{1}{21 \sqrt{1-2 x} (3 x+2)}-\frac{64 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{49 \sqrt{21}}",1,"64/(147*Sqrt[1 - 2*x]) + 1/(21*Sqrt[1 - 2*x]*(2 + 3*x)) - (64*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(49*Sqrt[21])","A",4,4,22,0.1818,1,"{78, 51, 63, 206}"
2079,1,90,0,0.0215629,"\int \frac{3+5 x}{(1-2 x)^{3/2} (2+3 x)^3} \, dx","Int[(3 + 5*x)/((1 - 2*x)^(3/2)*(2 + 3*x)^3),x]","-\frac{195 \sqrt{1-2 x}}{686 (3 x+2)}+\frac{65}{147 \sqrt{1-2 x} (3 x+2)}+\frac{1}{42 \sqrt{1-2 x} (3 x+2)^2}-\frac{65}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","\frac{65}{343 \sqrt{1-2 x}}-\frac{65}{294 \sqrt{1-2 x} (3 x+2)}+\frac{1}{42 \sqrt{1-2 x} (3 x+2)^2}-\frac{65}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"1/(42*Sqrt[1 - 2*x]*(2 + 3*x)^2) + 65/(147*Sqrt[1 - 2*x]*(2 + 3*x)) - (195*Sqrt[1 - 2*x])/(686*(2 + 3*x)) - (65*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343","A",5,4,22,0.1818,1,"{78, 51, 63, 206}"
2080,1,108,0,0.0280667,"\int \frac{3+5 x}{(1-2 x)^{3/2} (2+3 x)^4} \, dx","Int[(3 + 5*x)/((1 - 2*x)^(3/2)*(2 + 3*x)^4),x]","-\frac{5 \sqrt{1-2 x}}{49 (3 x+2)}-\frac{5 \sqrt{1-2 x}}{21 (3 x+2)^2}+\frac{4}{9 \sqrt{1-2 x} (3 x+2)^2}+\frac{1}{63 \sqrt{1-2 x} (3 x+2)^3}-\frac{10 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{49 \sqrt{21}}","\frac{10}{147 \sqrt{1-2 x}}-\frac{5}{63 \sqrt{1-2 x} (3 x+2)}-\frac{1}{9 \sqrt{1-2 x} (3 x+2)^2}+\frac{1}{63 \sqrt{1-2 x} (3 x+2)^3}-\frac{10 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{49 \sqrt{21}}",1,"1/(63*Sqrt[1 - 2*x]*(2 + 3*x)^3) + 4/(9*Sqrt[1 - 2*x]*(2 + 3*x)^2) - (5*Sqrt[1 - 2*x])/(21*(2 + 3*x)^2) - (5*Sqrt[1 - 2*x])/(49*(2 + 3*x)) - (10*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(49*Sqrt[21])","A",6,4,22,0.1818,1,"{78, 51, 63, 206}"
2081,1,128,0,0.038164,"\int \frac{3+5 x}{(1-2 x)^{3/2} (2+3 x)^5} \, dx","Int[(3 + 5*x)/((1 - 2*x)^(3/2)*(2 + 3*x)^5),x]","-\frac{655 \sqrt{1-2 x}}{19208 (3 x+2)}-\frac{655 \sqrt{1-2 x}}{8232 (3 x+2)^2}-\frac{131 \sqrt{1-2 x}}{588 (3 x+2)^3}+\frac{131}{294 \sqrt{1-2 x} (3 x+2)^3}+\frac{1}{84 \sqrt{1-2 x} (3 x+2)^4}-\frac{655 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9604 \sqrt{21}}","\frac{655}{28812 \sqrt{1-2 x}}-\frac{655}{24696 \sqrt{1-2 x} (3 x+2)}-\frac{131}{3528 \sqrt{1-2 x} (3 x+2)^2}-\frac{131}{1764 \sqrt{1-2 x} (3 x+2)^3}+\frac{1}{84 \sqrt{1-2 x} (3 x+2)^4}-\frac{655 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{9604 \sqrt{21}}",1,"1/(84*Sqrt[1 - 2*x]*(2 + 3*x)^4) + 131/(294*Sqrt[1 - 2*x]*(2 + 3*x)^3) - (131*Sqrt[1 - 2*x])/(588*(2 + 3*x)^3) - (655*Sqrt[1 - 2*x])/(8232*(2 + 3*x)^2) - (655*Sqrt[1 - 2*x])/(19208*(2 + 3*x)) - (655*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(9604*Sqrt[21])","A",7,4,22,0.1818,1,"{78, 51, 63, 206}"
2082,1,150,0,0.0477408,"\int \frac{3+5 x}{(1-2 x)^{3/2} (2+3 x)^6} \, dx","Int[(3 + 5*x)/((1 - 2*x)^(3/2)*(2 + 3*x)^6),x]","-\frac{369 \sqrt{1-2 x}}{33614 (3 x+2)}-\frac{123 \sqrt{1-2 x}}{4802 (3 x+2)^2}-\frac{123 \sqrt{1-2 x}}{1715 (3 x+2)^3}-\frac{369 \sqrt{1-2 x}}{1715 (3 x+2)^4}+\frac{328}{735 \sqrt{1-2 x} (3 x+2)^4}+\frac{1}{105 \sqrt{1-2 x} (3 x+2)^5}-\frac{123 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{16807}","\frac{123}{16807 \sqrt{1-2 x}}-\frac{41}{4802 \sqrt{1-2 x} (3 x+2)}-\frac{41}{3430 \sqrt{1-2 x} (3 x+2)^2}-\frac{41}{1715 \sqrt{1-2 x} (3 x+2)^3}-\frac{41}{735 \sqrt{1-2 x} (3 x+2)^4}+\frac{1}{105 \sqrt{1-2 x} (3 x+2)^5}-\frac{123 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{16807}",1,"1/(105*Sqrt[1 - 2*x]*(2 + 3*x)^5) + 328/(735*Sqrt[1 - 2*x]*(2 + 3*x)^4) - (369*Sqrt[1 - 2*x])/(1715*(2 + 3*x)^4) - (123*Sqrt[1 - 2*x])/(1715*(2 + 3*x)^3) - (123*Sqrt[1 - 2*x])/(4802*(2 + 3*x)^2) - (369*Sqrt[1 - 2*x])/(33614*(2 + 3*x)) - (123*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/16807","A",8,4,22,0.1818,1,"{78, 51, 63, 206}"
2083,1,105,0,0.0195816,"\int \frac{(2+3 x)^5 (3+5 x)^2}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^5*(3 + 5*x)^2)/(1 - 2*x)^(3/2),x]","\frac{6075 (1-2 x)^{13/2}}{1664}-\frac{97605 (1-2 x)^{11/2}}{1408}+\frac{74667}{128} (1-2 x)^{9/2}-\frac{367155}{128} (1-2 x)^{7/2}+\frac{1179381}{128} (1-2 x)^{5/2}-\frac{8117095}{384} (1-2 x)^{3/2}+\frac{6206585}{128} \sqrt{1-2 x}+\frac{2033647}{128 \sqrt{1-2 x}}","\frac{6075 (1-2 x)^{13/2}}{1664}-\frac{97605 (1-2 x)^{11/2}}{1408}+\frac{74667}{128} (1-2 x)^{9/2}-\frac{367155}{128} (1-2 x)^{7/2}+\frac{1179381}{128} (1-2 x)^{5/2}-\frac{8117095}{384} (1-2 x)^{3/2}+\frac{6206585}{128} \sqrt{1-2 x}+\frac{2033647}{128 \sqrt{1-2 x}}",1,"2033647/(128*Sqrt[1 - 2*x]) + (6206585*Sqrt[1 - 2*x])/128 - (8117095*(1 - 2*x)^(3/2))/384 + (1179381*(1 - 2*x)^(5/2))/128 - (367155*(1 - 2*x)^(7/2))/128 + (74667*(1 - 2*x)^(9/2))/128 - (97605*(1 - 2*x)^(11/2))/1408 + (6075*(1 - 2*x)^(13/2))/1664","A",2,1,24,0.04167,1,"{88}"
2084,1,92,0,0.0182143,"\int \frac{(2+3 x)^4 (3+5 x)^2}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^2)/(1 - 2*x)^(3/2),x]","-\frac{2025}{704} (1-2 x)^{11/2}+\frac{1545}{32} (1-2 x)^{9/2}-\frac{159111}{448} (1-2 x)^{7/2}+\frac{121359}{80} (1-2 x)^{5/2}-\frac{832951}{192} (1-2 x)^{3/2}+\frac{381073}{32} \sqrt{1-2 x}+\frac{290521}{64 \sqrt{1-2 x}}","-\frac{2025}{704} (1-2 x)^{11/2}+\frac{1545}{32} (1-2 x)^{9/2}-\frac{159111}{448} (1-2 x)^{7/2}+\frac{121359}{80} (1-2 x)^{5/2}-\frac{832951}{192} (1-2 x)^{3/2}+\frac{381073}{32} \sqrt{1-2 x}+\frac{290521}{64 \sqrt{1-2 x}}",1,"290521/(64*Sqrt[1 - 2*x]) + (381073*Sqrt[1 - 2*x])/32 - (832951*(1 - 2*x)^(3/2))/192 + (121359*(1 - 2*x)^(5/2))/80 - (159111*(1 - 2*x)^(7/2))/448 + (1545*(1 - 2*x)^(9/2))/32 - (2025*(1 - 2*x)^(11/2))/704","A",2,1,24,0.04167,1,"{88}"
2085,1,79,0,0.0153282,"\int \frac{(2+3 x)^3 (3+5 x)^2}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^2)/(1 - 2*x)^(3/2),x]","\frac{75}{32} (1-2 x)^{9/2}-\frac{7695}{224} (1-2 x)^{7/2}+\frac{17541}{80} (1-2 x)^{5/2}-\frac{39977}{48} (1-2 x)^{3/2}+\frac{91091}{32} \sqrt{1-2 x}+\frac{41503}{32 \sqrt{1-2 x}}","\frac{75}{32} (1-2 x)^{9/2}-\frac{7695}{224} (1-2 x)^{7/2}+\frac{17541}{80} (1-2 x)^{5/2}-\frac{39977}{48} (1-2 x)^{3/2}+\frac{91091}{32} \sqrt{1-2 x}+\frac{41503}{32 \sqrt{1-2 x}}",1,"41503/(32*Sqrt[1 - 2*x]) + (91091*Sqrt[1 - 2*x])/32 - (39977*(1 - 2*x)^(3/2))/48 + (17541*(1 - 2*x)^(5/2))/80 - (7695*(1 - 2*x)^(7/2))/224 + (75*(1 - 2*x)^(9/2))/32","A",2,1,24,0.04167,1,"{88}"
2086,1,66,0,0.013909,"\int \frac{(2+3 x)^2 (3+5 x)^2}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^2)/(1 - 2*x)^(3/2),x]","-\frac{225}{112} (1-2 x)^{7/2}+\frac{51}{2} (1-2 x)^{5/2}-\frac{3467}{24} (1-2 x)^{3/2}+\frac{1309}{2} \sqrt{1-2 x}+\frac{5929}{16 \sqrt{1-2 x}}","-\frac{225}{112} (1-2 x)^{7/2}+\frac{51}{2} (1-2 x)^{5/2}-\frac{3467}{24} (1-2 x)^{3/2}+\frac{1309}{2} \sqrt{1-2 x}+\frac{5929}{16 \sqrt{1-2 x}}",1,"5929/(16*Sqrt[1 - 2*x]) + (1309*Sqrt[1 - 2*x])/2 - (3467*(1 - 2*x)^(3/2))/24 + (51*(1 - 2*x)^(5/2))/2 - (225*(1 - 2*x)^(7/2))/112","A",2,1,24,0.04167,1,"{88}"
2087,1,53,0,0.0099816,"\int \frac{(2+3 x) (3+5 x)^2}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)*(3 + 5*x)^2)/(1 - 2*x)^(3/2),x]","\frac{15}{8} (1-2 x)^{5/2}-\frac{505}{24} (1-2 x)^{3/2}+\frac{1133}{8} \sqrt{1-2 x}+\frac{847}{8 \sqrt{1-2 x}}","\frac{15}{8} (1-2 x)^{5/2}-\frac{505}{24} (1-2 x)^{3/2}+\frac{1133}{8} \sqrt{1-2 x}+\frac{847}{8 \sqrt{1-2 x}}",1,"847/(8*Sqrt[1 - 2*x]) + (1133*Sqrt[1 - 2*x])/8 - (505*(1 - 2*x)^(3/2))/24 + (15*(1 - 2*x)^(5/2))/8","A",2,1,22,0.04545,1,"{77}"
2088,1,40,0,0.0073006,"\int \frac{(3+5 x)^2}{(1-2 x)^{3/2}} \, dx","Int[(3 + 5*x)^2/(1 - 2*x)^(3/2),x]","-\frac{25}{12} (1-2 x)^{3/2}+\frac{55}{2} \sqrt{1-2 x}+\frac{121}{4 \sqrt{1-2 x}}","-\frac{25}{12} (1-2 x)^{3/2}+\frac{55}{2} \sqrt{1-2 x}+\frac{121}{4 \sqrt{1-2 x}}",1,"121/(4*Sqrt[1 - 2*x]) + (55*Sqrt[1 - 2*x])/2 - (25*(1 - 2*x)^(3/2))/12","A",2,1,17,0.05882,1,"{43}"
2089,1,54,0,0.0225955,"\int \frac{(3+5 x)^2}{(1-2 x)^{3/2} (2+3 x)} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^(3/2)*(2 + 3*x)),x]","\frac{25}{6} \sqrt{1-2 x}+\frac{121}{14 \sqrt{1-2 x}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{21 \sqrt{21}}","\frac{25}{6} \sqrt{1-2 x}+\frac{121}{14 \sqrt{1-2 x}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{21 \sqrt{21}}",1,"121/(14*Sqrt[1 - 2*x]) + (25*Sqrt[1 - 2*x])/6 - (2*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(21*Sqrt[21])","A",4,3,24,0.1250,1,"{87, 63, 206}"
2090,1,68,0,0.0165094,"\int \frac{(3+5 x)^2}{(1-2 x)^{3/2} (2+3 x)^2} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^(3/2)*(2 + 3*x)^2),x]","-\frac{1091 \sqrt{1-2 x}}{294 (3 x+2)}+\frac{121}{14 \sqrt{1-2 x} (3 x+2)}+\frac{134 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{147 \sqrt{21}}","-\frac{1091 \sqrt{1-2 x}}{294 (3 x+2)}+\frac{121}{14 \sqrt{1-2 x} (3 x+2)}+\frac{134 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{147 \sqrt{21}}",1,"121/(14*Sqrt[1 - 2*x]*(2 + 3*x)) - (1091*Sqrt[1 - 2*x])/(294*(2 + 3*x)) + (134*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(147*Sqrt[21])","A",4,4,24,0.1667,1,"{89, 78, 63, 206}"
2091,1,88,0,0.0229986,"\int \frac{(3+5 x)^2}{(1-2 x)^{3/2} (2+3 x)^3} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^(3/2)*(2 + 3*x)^3),x]","-\frac{2045 \sqrt{1-2 x}}{2058 (3 x+2)}-\frac{545 \sqrt{1-2 x}}{147 (3 x+2)^2}+\frac{121}{14 \sqrt{1-2 x} (3 x+2)^2}-\frac{2045 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}","-\frac{2045 \sqrt{1-2 x}}{2058 (3 x+2)}-\frac{545 \sqrt{1-2 x}}{147 (3 x+2)^2}+\frac{121}{14 \sqrt{1-2 x} (3 x+2)^2}-\frac{2045 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}",1,"121/(14*Sqrt[1 - 2*x]*(2 + 3*x)^2) - (545*Sqrt[1 - 2*x])/(147*(2 + 3*x)^2) - (2045*Sqrt[1 - 2*x])/(2058*(2 + 3*x)) - (2045*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(1029*Sqrt[21])","A",5,5,24,0.2083,1,"{89, 78, 51, 63, 206}"
2092,1,108,0,0.0295001,"\int \frac{(3+5 x)^2}{(1-2 x)^{3/2} (2+3 x)^4} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^(3/2)*(2 + 3*x)^4),x]","-\frac{905 \sqrt{1-2 x}}{2058 (3 x+2)}-\frac{905 \sqrt{1-2 x}}{882 (3 x+2)^2}-\frac{467 \sqrt{1-2 x}}{126 (3 x+2)^3}+\frac{121}{14 \sqrt{1-2 x} (3 x+2)^3}-\frac{905 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}","-\frac{905 \sqrt{1-2 x}}{2058 (3 x+2)}-\frac{905 \sqrt{1-2 x}}{882 (3 x+2)^2}-\frac{467 \sqrt{1-2 x}}{126 (3 x+2)^3}+\frac{121}{14 \sqrt{1-2 x} (3 x+2)^3}-\frac{905 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}",1,"121/(14*Sqrt[1 - 2*x]*(2 + 3*x)^3) - (467*Sqrt[1 - 2*x])/(126*(2 + 3*x)^3) - (905*Sqrt[1 - 2*x])/(882*(2 + 3*x)^2) - (905*Sqrt[1 - 2*x])/(2058*(2 + 3*x)) - (905*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(1029*Sqrt[21])","A",6,5,24,0.2083,1,"{89, 78, 51, 63, 206}"
2093,1,128,0,0.0390836,"\int \frac{(3+5 x)^2}{(1-2 x)^{3/2} (2+3 x)^5} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^(3/2)*(2 + 3*x)^5),x]","-\frac{9145 \sqrt{1-2 x}}{57624 (3 x+2)}-\frac{9145 \sqrt{1-2 x}}{24696 (3 x+2)^2}-\frac{1829 \sqrt{1-2 x}}{1764 (3 x+2)^3}-\frac{2179 \sqrt{1-2 x}}{588 (3 x+2)^4}+\frac{121}{14 \sqrt{1-2 x} (3 x+2)^4}-\frac{9145 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{28812 \sqrt{21}}","-\frac{9145 \sqrt{1-2 x}}{57624 (3 x+2)}-\frac{9145 \sqrt{1-2 x}}{24696 (3 x+2)^2}-\frac{1829 \sqrt{1-2 x}}{1764 (3 x+2)^3}-\frac{2179 \sqrt{1-2 x}}{588 (3 x+2)^4}+\frac{121}{14 \sqrt{1-2 x} (3 x+2)^4}-\frac{9145 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{28812 \sqrt{21}}",1,"121/(14*Sqrt[1 - 2*x]*(2 + 3*x)^4) - (2179*Sqrt[1 - 2*x])/(588*(2 + 3*x)^4) - (1829*Sqrt[1 - 2*x])/(1764*(2 + 3*x)^3) - (9145*Sqrt[1 - 2*x])/(24696*(2 + 3*x)^2) - (9145*Sqrt[1 - 2*x])/(57624*(2 + 3*x)) - (9145*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(28812*Sqrt[21])","A",7,5,24,0.2083,1,"{89, 78, 51, 63, 206}"
2094,1,105,0,0.0196299,"\int \frac{(2+3 x)^4 (3+5 x)^3}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^3)/(1 - 2*x)^(3/2),x]","\frac{10125 (1-2 x)^{13/2}}{1664}-\frac{161325 (1-2 x)^{11/2}}{1408}+\frac{122385}{128} (1-2 x)^{9/2}-\frac{4177401}{896} (1-2 x)^{7/2}+\frac{9504551}{640} (1-2 x)^{5/2}-\frac{4324397}{128} (1-2 x)^{3/2}+\frac{9836211}{128} \sqrt{1-2 x}+\frac{3195731}{128 \sqrt{1-2 x}}","\frac{10125 (1-2 x)^{13/2}}{1664}-\frac{161325 (1-2 x)^{11/2}}{1408}+\frac{122385}{128} (1-2 x)^{9/2}-\frac{4177401}{896} (1-2 x)^{7/2}+\frac{9504551}{640} (1-2 x)^{5/2}-\frac{4324397}{128} (1-2 x)^{3/2}+\frac{9836211}{128} \sqrt{1-2 x}+\frac{3195731}{128 \sqrt{1-2 x}}",1,"3195731/(128*Sqrt[1 - 2*x]) + (9836211*Sqrt[1 - 2*x])/128 - (4324397*(1 - 2*x)^(3/2))/128 + (9504551*(1 - 2*x)^(5/2))/640 - (4177401*(1 - 2*x)^(7/2))/896 + (122385*(1 - 2*x)^(9/2))/128 - (161325*(1 - 2*x)^(11/2))/1408 + (10125*(1 - 2*x)^(13/2))/1664","A",2,1,24,0.04167,1,"{88}"
2095,1,92,0,0.0192098,"\int \frac{(2+3 x)^3 (3+5 x)^3}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^3)/(1 - 2*x)^(3/2),x]","-\frac{3375}{704} (1-2 x)^{11/2}+\frac{1275}{16} (1-2 x)^{9/2}-\frac{260055}{448} (1-2 x)^{7/2}+\frac{98209}{40} (1-2 x)^{5/2}-\frac{444983}{64} (1-2 x)^{3/2}+\frac{302379}{16} \sqrt{1-2 x}+\frac{456533}{64 \sqrt{1-2 x}}","-\frac{3375}{704} (1-2 x)^{11/2}+\frac{1275}{16} (1-2 x)^{9/2}-\frac{260055}{448} (1-2 x)^{7/2}+\frac{98209}{40} (1-2 x)^{5/2}-\frac{444983}{64} (1-2 x)^{3/2}+\frac{302379}{16} \sqrt{1-2 x}+\frac{456533}{64 \sqrt{1-2 x}}",1,"456533/(64*Sqrt[1 - 2*x]) + (302379*Sqrt[1 - 2*x])/16 - (444983*(1 - 2*x)^(3/2))/64 + (98209*(1 - 2*x)^(5/2))/40 - (260055*(1 - 2*x)^(7/2))/448 + (1275*(1 - 2*x)^(9/2))/16 - (3375*(1 - 2*x)^(11/2))/704","A",2,1,24,0.04167,1,"{88}"
2096,1,79,0,0.0161979,"\int \frac{(2+3 x)^2 (3+5 x)^3}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^3)/(1 - 2*x)^(3/2),x]","\frac{125}{32} (1-2 x)^{9/2}-\frac{12675}{224} (1-2 x)^{7/2}+\frac{5711}{16} (1-2 x)^{5/2}-\frac{21439}{16} (1-2 x)^{3/2}+\frac{144837}{32} \sqrt{1-2 x}+\frac{65219}{32 \sqrt{1-2 x}}","\frac{125}{32} (1-2 x)^{9/2}-\frac{12675}{224} (1-2 x)^{7/2}+\frac{5711}{16} (1-2 x)^{5/2}-\frac{21439}{16} (1-2 x)^{3/2}+\frac{144837}{32} \sqrt{1-2 x}+\frac{65219}{32 \sqrt{1-2 x}}",1,"65219/(32*Sqrt[1 - 2*x]) + (144837*Sqrt[1 - 2*x])/32 - (21439*(1 - 2*x)^(3/2))/16 + (5711*(1 - 2*x)^(5/2))/16 - (12675*(1 - 2*x)^(7/2))/224 + (125*(1 - 2*x)^(9/2))/32","A",2,1,24,0.04167,1,"{88}"
2097,1,66,0,0.0129449,"\int \frac{(2+3 x) (3+5 x)^3}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)*(3 + 5*x)^3)/(1 - 2*x)^(3/2),x]","-\frac{375}{112} (1-2 x)^{7/2}+\frac{335}{8} (1-2 x)^{5/2}-\frac{935}{4} (1-2 x)^{3/2}+\frac{8349}{8} \sqrt{1-2 x}+\frac{9317}{16 \sqrt{1-2 x}}","-\frac{375}{112} (1-2 x)^{7/2}+\frac{335}{8} (1-2 x)^{5/2}-\frac{935}{4} (1-2 x)^{3/2}+\frac{8349}{8} \sqrt{1-2 x}+\frac{9317}{16 \sqrt{1-2 x}}",1,"9317/(16*Sqrt[1 - 2*x]) + (8349*Sqrt[1 - 2*x])/8 - (935*(1 - 2*x)^(3/2))/4 + (335*(1 - 2*x)^(5/2))/8 - (375*(1 - 2*x)^(7/2))/112","A",2,1,22,0.04545,1,"{77}"
2098,1,53,0,0.0097423,"\int \frac{(3+5 x)^3}{(1-2 x)^{3/2}} \, dx","Int[(3 + 5*x)^3/(1 - 2*x)^(3/2),x]","\frac{25}{8} (1-2 x)^{5/2}-\frac{275}{8} (1-2 x)^{3/2}+\frac{1815}{8} \sqrt{1-2 x}+\frac{1331}{8 \sqrt{1-2 x}}","\frac{25}{8} (1-2 x)^{5/2}-\frac{275}{8} (1-2 x)^{3/2}+\frac{1815}{8} \sqrt{1-2 x}+\frac{1331}{8 \sqrt{1-2 x}}",1,"1331/(8*Sqrt[1 - 2*x]) + (1815*Sqrt[1 - 2*x])/8 - (275*(1 - 2*x)^(3/2))/8 + (25*(1 - 2*x)^(5/2))/8","A",2,1,17,0.05882,1,"{43}"
2099,1,67,0,0.0326447,"\int \frac{(3+5 x)^3}{(1-2 x)^{3/2} (2+3 x)} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^(3/2)*(2 + 3*x)),x]","-\frac{125}{36} (1-2 x)^{3/2}+\frac{400}{9} \sqrt{1-2 x}+\frac{1331}{28 \sqrt{1-2 x}}+\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{63 \sqrt{21}}","-\frac{125}{36} (1-2 x)^{3/2}+\frac{400}{9} \sqrt{1-2 x}+\frac{1331}{28 \sqrt{1-2 x}}+\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{63 \sqrt{21}}",1,"1331/(28*Sqrt[1 - 2*x]) + (400*Sqrt[1 - 2*x])/9 - (125*(1 - 2*x)^(3/2))/36 + (2*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(63*Sqrt[21])","A",6,4,24,0.1667,1,"{87, 43, 63, 206}"
2100,1,80,0,0.0198577,"\int \frac{(3+5 x)^3}{(1-2 x)^{3/2} (2+3 x)^2} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^(3/2)*(2 + 3*x)^2),x]","\frac{11 (5 x+3)^2}{7 \sqrt{1-2 x} (3 x+2)}+\frac{2 \sqrt{1-2 x} (2975 x+1978)}{147 (3 x+2)}-\frac{68 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{147 \sqrt{21}}","\frac{11 (5 x+3)^2}{7 \sqrt{1-2 x} (3 x+2)}+\frac{2 \sqrt{1-2 x} (2975 x+1978)}{147 (3 x+2)}-\frac{68 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{147 \sqrt{21}}",1,"(11*(3 + 5*x)^2)/(7*Sqrt[1 - 2*x]*(2 + 3*x)) + (2*Sqrt[1 - 2*x]*(1978 + 2975*x))/(147*(2 + 3*x)) - (68*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(147*Sqrt[21])","A",4,4,24,0.1667,1,"{98, 146, 63, 206}"
2101,1,80,0,0.0193927,"\int \frac{(3+5 x)^3}{(1-2 x)^{3/2} (2+3 x)^3} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^(3/2)*(2 + 3*x)^3),x]","\frac{11 (5 x+3)^2}{7 \sqrt{1-2 x} (3 x+2)^2}+\frac{5 \sqrt{1-2 x} (857 x+541)}{2058 (3 x+2)^2}+\frac{2245 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}","\frac{11 (5 x+3)^2}{7 \sqrt{1-2 x} (3 x+2)^2}+\frac{5 \sqrt{1-2 x} (857 x+541)}{2058 (3 x+2)^2}+\frac{2245 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}",1,"(11*(3 + 5*x)^2)/(7*Sqrt[1 - 2*x]*(2 + 3*x)^2) + (5*Sqrt[1 - 2*x]*(541 + 857*x))/(2058*(2 + 3*x)^2) + (2245*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(1029*Sqrt[21])","A",4,4,24,0.1667,1,"{98, 145, 63, 206}"
2102,1,100,0,0.0274599,"\int \frac{(3+5 x)^3}{(1-2 x)^{3/2} (2+3 x)^4} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^(3/2)*(2 + 3*x)^4),x]","\frac{11 (5 x+3)^2}{7 \sqrt{1-2 x} (3 x+2)^3}+\frac{2 \sqrt{1-2 x} (470 x+297)}{441 (3 x+2)^3}-\frac{4660 \sqrt{1-2 x}}{3087 (3 x+2)}-\frac{9320 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{3087 \sqrt{21}}","\frac{11 (5 x+3)^2}{7 \sqrt{1-2 x} (3 x+2)^3}+\frac{2 \sqrt{1-2 x} (470 x+297)}{441 (3 x+2)^3}-\frac{4660 \sqrt{1-2 x}}{3087 (3 x+2)}-\frac{9320 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{3087 \sqrt{21}}",1,"(-4660*Sqrt[1 - 2*x])/(3087*(2 + 3*x)) + (11*(3 + 5*x)^2)/(7*Sqrt[1 - 2*x]*(2 + 3*x)^3) + (2*Sqrt[1 - 2*x]*(297 + 470*x))/(441*(2 + 3*x)^3) - (9320*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(3087*Sqrt[21])","A",5,5,24,0.2083,1,"{98, 145, 51, 63, 206}"
2103,1,120,0,0.0336001,"\int \frac{(3+5 x)^3}{(1-2 x)^{3/2} (2+3 x)^5} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^(3/2)*(2 + 3*x)^5),x]","\frac{11 (5 x+3)^2}{7 \sqrt{1-2 x} (3 x+2)^4}+\frac{\sqrt{1-2 x} (3789 x+2395)}{1764 (3 x+2)^4}-\frac{39185 \sqrt{1-2 x}}{57624 (3 x+2)}-\frac{39185 \sqrt{1-2 x}}{24696 (3 x+2)^2}-\frac{39185 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{28812 \sqrt{21}}","\frac{11 (5 x+3)^2}{7 \sqrt{1-2 x} (3 x+2)^4}+\frac{\sqrt{1-2 x} (3789 x+2395)}{1764 (3 x+2)^4}-\frac{39185 \sqrt{1-2 x}}{57624 (3 x+2)}-\frac{39185 \sqrt{1-2 x}}{24696 (3 x+2)^2}-\frac{39185 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{28812 \sqrt{21}}",1,"(-39185*Sqrt[1 - 2*x])/(24696*(2 + 3*x)^2) - (39185*Sqrt[1 - 2*x])/(57624*(2 + 3*x)) + (11*(3 + 5*x)^2)/(7*Sqrt[1 - 2*x]*(2 + 3*x)^4) + (Sqrt[1 - 2*x]*(2395 + 3789*x))/(1764*(2 + 3*x)^4) - (39185*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(28812*Sqrt[21])","A",6,5,24,0.2083,1,"{98, 145, 51, 63, 206}"
2104,1,106,0,0.0809923,"\int \frac{(2+3 x)^6}{(1-2 x)^{3/2} (3+5 x)} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)^(3/2)*(3 + 5*x)),x]","\frac{81}{160} (1-2 x)^{9/2}-\frac{43011 (1-2 x)^{7/2}}{5600}+\frac{507627 (1-2 x)^{5/2}}{10000}-\frac{1997451 (1-2 x)^{3/2}}{10000}+\frac{70752609 \sqrt{1-2 x}}{100000}+\frac{117649}{352 \sqrt{1-2 x}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{34375 \sqrt{55}}","\frac{81}{160} (1-2 x)^{9/2}-\frac{43011 (1-2 x)^{7/2}}{5600}+\frac{507627 (1-2 x)^{5/2}}{10000}-\frac{1997451 (1-2 x)^{3/2}}{10000}+\frac{70752609 \sqrt{1-2 x}}{100000}+\frac{117649}{352 \sqrt{1-2 x}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{34375 \sqrt{55}}",1,"117649/(352*Sqrt[1 - 2*x]) + (70752609*Sqrt[1 - 2*x])/100000 - (1997451*(1 - 2*x)^(3/2))/10000 + (507627*(1 - 2*x)^(5/2))/10000 - (43011*(1 - 2*x)^(7/2))/5600 + (81*(1 - 2*x)^(9/2))/160 - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(34375*Sqrt[55])","A",12,4,24,0.1667,1,"{87, 43, 63, 206}"
2105,1,93,0,0.0629162,"\int \frac{(2+3 x)^5}{(1-2 x)^{3/2} (3+5 x)} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^(3/2)*(3 + 5*x)),x]","-\frac{243}{560} (1-2 x)^{7/2}+\frac{5751 (1-2 x)^{5/2}}{1000}-\frac{17019}{500} (1-2 x)^{3/2}+\frac{806121 \sqrt{1-2 x}}{5000}+\frac{16807}{176 \sqrt{1-2 x}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{6875 \sqrt{55}}","-\frac{243}{560} (1-2 x)^{7/2}+\frac{5751 (1-2 x)^{5/2}}{1000}-\frac{17019}{500} (1-2 x)^{3/2}+\frac{806121 \sqrt{1-2 x}}{5000}+\frac{16807}{176 \sqrt{1-2 x}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{6875 \sqrt{55}}",1,"16807/(176*Sqrt[1 - 2*x]) + (806121*Sqrt[1 - 2*x])/5000 - (17019*(1 - 2*x)^(3/2))/500 + (5751*(1 - 2*x)^(5/2))/1000 - (243*(1 - 2*x)^(7/2))/560 - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(6875*Sqrt[55])","A",10,4,24,0.1667,1,"{87, 43, 63, 206}"
2106,1,80,0,0.0452434,"\int \frac{(2+3 x)^4}{(1-2 x)^{3/2} (3+5 x)} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^(3/2)*(3 + 5*x)),x]","\frac{81}{200} (1-2 x)^{5/2}-\frac{963}{200} (1-2 x)^{3/2}+\frac{34371 \sqrt{1-2 x}}{1000}+\frac{2401}{88 \sqrt{1-2 x}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1375 \sqrt{55}}","\frac{81}{200} (1-2 x)^{5/2}-\frac{963}{200} (1-2 x)^{3/2}+\frac{34371 \sqrt{1-2 x}}{1000}+\frac{2401}{88 \sqrt{1-2 x}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1375 \sqrt{55}}",1,"2401/(88*Sqrt[1 - 2*x]) + (34371*Sqrt[1 - 2*x])/1000 - (963*(1 - 2*x)^(3/2))/200 + (81*(1 - 2*x)^(5/2))/200 - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(1375*Sqrt[55])","A",8,4,24,0.1667,1,"{87, 43, 63, 206}"
2107,1,67,0,0.0341693,"\int \frac{(2+3 x)^3}{(1-2 x)^{3/2} (3+5 x)} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^(3/2)*(3 + 5*x)),x]","-\frac{9}{20} (1-2 x)^{3/2}+\frac{162}{25} \sqrt{1-2 x}+\frac{343}{44 \sqrt{1-2 x}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{275 \sqrt{55}}","-\frac{9}{20} (1-2 x)^{3/2}+\frac{162}{25} \sqrt{1-2 x}+\frac{343}{44 \sqrt{1-2 x}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{275 \sqrt{55}}",1,"343/(44*Sqrt[1 - 2*x]) + (162*Sqrt[1 - 2*x])/25 - (9*(1 - 2*x)^(3/2))/20 - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(275*Sqrt[55])","A",6,4,24,0.1667,1,"{87, 43, 63, 206}"
2108,1,54,0,0.0236737,"\int \frac{(2+3 x)^2}{(1-2 x)^{3/2} (3+5 x)} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^(3/2)*(3 + 5*x)),x]","\frac{9}{10} \sqrt{1-2 x}+\frac{49}{22 \sqrt{1-2 x}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{55 \sqrt{55}}","\frac{9}{10} \sqrt{1-2 x}+\frac{49}{22 \sqrt{1-2 x}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{55 \sqrt{55}}",1,"49/(22*Sqrt[1 - 2*x]) + (9*Sqrt[1 - 2*x])/10 - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(55*Sqrt[55])","A",4,3,24,0.1250,1,"{87, 63, 206}"
2109,1,41,0,0.0095627,"\int \frac{2+3 x}{(1-2 x)^{3/2} (3+5 x)} \, dx","Int[(2 + 3*x)/((1 - 2*x)^(3/2)*(3 + 5*x)),x]","\frac{7}{11 \sqrt{1-2 x}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{11 \sqrt{55}}","\frac{7}{11 \sqrt{1-2 x}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{11 \sqrt{55}}",1,"7/(11*Sqrt[1 - 2*x]) - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(11*Sqrt[55])","A",3,3,22,0.1364,1,"{78, 63, 206}"
2110,1,43,0,0.009186,"\int \frac{1}{(1-2 x)^{3/2} (3+5 x)} \, dx","Int[1/((1 - 2*x)^(3/2)*(3 + 5*x)),x]","\frac{2}{11 \sqrt{1-2 x}}-\frac{2}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{2}{11 \sqrt{1-2 x}}-\frac{2}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"2/(11*Sqrt[1 - 2*x]) - (2*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/11","A",3,3,17,0.1765,1,"{51, 63, 206}"
2111,1,72,0,0.0255799,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x) (3+5 x)} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)),x]","\frac{4}{77 \sqrt{1-2 x}}+\frac{6}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{10}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{4}{77 \sqrt{1-2 x}}+\frac{6}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{10}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"4/(77*Sqrt[1 - 2*x]) + (6*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/7 - (10*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/11","A",6,4,24,0.1667,1,"{85, 156, 63, 206}"
2112,1,92,0,0.038508,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^2 (3+5 x)} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)),x]","-\frac{58}{539 \sqrt{1-2 x}}+\frac{3}{7 \sqrt{1-2 x} (3 x+2)}+\frac{228}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{50}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{58}{539 \sqrt{1-2 x}}+\frac{3}{7 \sqrt{1-2 x} (3 x+2)}+\frac{228}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{50}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"-58/(539*Sqrt[1 - 2*x]) + 3/(7*Sqrt[1 - 2*x]*(2 + 3*x)) + (228*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/49 - (50*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/11","A",7,5,24,0.2083,1,"{103, 152, 156, 63, 206}"
2113,1,112,0,0.0456548,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^3 (3+5 x)} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^3*(3 + 5*x)),x]","-\frac{2525}{3773 \sqrt{1-2 x}}+\frac{225}{98 \sqrt{1-2 x} (3 x+2)}+\frac{3}{14 \sqrt{1-2 x} (3 x+2)^2}+\frac{8025}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{250}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{2525}{3773 \sqrt{1-2 x}}+\frac{225}{98 \sqrt{1-2 x} (3 x+2)}+\frac{3}{14 \sqrt{1-2 x} (3 x+2)^2}+\frac{8025}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{250}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"-2525/(3773*Sqrt[1 - 2*x]) + 3/(14*Sqrt[1 - 2*x]*(2 + 3*x)^2) + 225/(98*Sqrt[1 - 2*x]*(2 + 3*x)) + (8025*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343 - (250*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/11","A",8,6,24,0.2500,1,"{103, 151, 152, 156, 63, 206}"
2114,1,132,0,0.058251,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^4 (3+5 x)} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^4*(3 + 5*x)),x]","-\frac{12790}{3773 \sqrt{1-2 x}}+\frac{565}{49 \sqrt{1-2 x} (3 x+2)}+\frac{8}{7 \sqrt{1-2 x} (3 x+2)^2}+\frac{1}{7 \sqrt{1-2 x} (3 x+2)^3}+\frac{40140}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{1250}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{12790}{3773 \sqrt{1-2 x}}+\frac{565}{49 \sqrt{1-2 x} (3 x+2)}+\frac{8}{7 \sqrt{1-2 x} (3 x+2)^2}+\frac{1}{7 \sqrt{1-2 x} (3 x+2)^3}+\frac{40140}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{1250}{11} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"-12790/(3773*Sqrt[1 - 2*x]) + 1/(7*Sqrt[1 - 2*x]*(2 + 3*x)^3) + 8/(7*Sqrt[1 - 2*x]*(2 + 3*x)^2) + 565/(49*Sqrt[1 - 2*x]*(2 + 3*x)) + (40140*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343 - (1250*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/11","A",9,6,24,0.2500,1,"{103, 151, 152, 156, 63, 206}"
2115,1,140,0,0.0518739,"\int \frac{(2+3 x)^6}{(1-2 x)^{3/2} (3+5 x)^2} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)^(3/2)*(3 + 5*x)^2),x]","\frac{7 (3 x+2)^5}{11 \sqrt{1-2 x} (5 x+3)}-\frac{36 \sqrt{1-2 x} (3 x+2)^4}{605 (5 x+3)}+\frac{14517 \sqrt{1-2 x} (3 x+2)^3}{21175}+\frac{217152 \sqrt{1-2 x} (3 x+2)^2}{75625}+\frac{9 \sqrt{1-2 x} (1688625 x+5065808)}{378125}-\frac{402 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{378125 \sqrt{55}}","\frac{7 (3 x+2)^5}{11 \sqrt{1-2 x} (5 x+3)}-\frac{36 \sqrt{1-2 x} (3 x+2)^4}{605 (5 x+3)}+\frac{14517 \sqrt{1-2 x} (3 x+2)^3}{21175}+\frac{217152 \sqrt{1-2 x} (3 x+2)^2}{75625}+\frac{9 \sqrt{1-2 x} (1688625 x+5065808)}{378125}-\frac{402 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{378125 \sqrt{55}}",1,"(217152*Sqrt[1 - 2*x]*(2 + 3*x)^2)/75625 + (14517*Sqrt[1 - 2*x]*(2 + 3*x)^3)/21175 - (36*Sqrt[1 - 2*x]*(2 + 3*x)^4)/(605*(3 + 5*x)) + (7*(2 + 3*x)^5)/(11*Sqrt[1 - 2*x]*(3 + 5*x)) + (9*Sqrt[1 - 2*x]*(5065808 + 1688625*x))/378125 - (402*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(378125*Sqrt[55])","A",7,6,24,0.2500,1,"{98, 149, 153, 147, 63, 206}"
2116,1,120,0,0.0380979,"\int \frac{(2+3 x)^5}{(1-2 x)^{3/2} (3+5 x)^2} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^(3/2)*(3 + 5*x)^2),x]","\frac{7 (3 x+2)^4}{11 \sqrt{1-2 x} (5 x+3)}-\frac{36 \sqrt{1-2 x} (3 x+2)^3}{605 (5 x+3)}+\frac{10836 \sqrt{1-2 x} (3 x+2)^2}{15125}+\frac{504 \sqrt{1-2 x} (1500 x+4499)}{75625}-\frac{336 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{75625 \sqrt{55}}","\frac{7 (3 x+2)^4}{11 \sqrt{1-2 x} (5 x+3)}-\frac{36 \sqrt{1-2 x} (3 x+2)^3}{605 (5 x+3)}+\frac{10836 \sqrt{1-2 x} (3 x+2)^2}{15125}+\frac{504 \sqrt{1-2 x} (1500 x+4499)}{75625}-\frac{336 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{75625 \sqrt{55}}",1,"(10836*Sqrt[1 - 2*x]*(2 + 3*x)^2)/15125 - (36*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(605*(3 + 5*x)) + (7*(2 + 3*x)^4)/(11*Sqrt[1 - 2*x]*(3 + 5*x)) + (504*Sqrt[1 - 2*x]*(4499 + 1500*x))/75625 - (336*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(75625*Sqrt[55])","A",6,6,24,0.2500,1,"{98, 149, 153, 147, 63, 206}"
2117,1,100,0,0.0276161,"\int \frac{(2+3 x)^4}{(1-2 x)^{3/2} (3+5 x)^2} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^(3/2)*(3 + 5*x)^2),x]","\frac{7 (3 x+2)^3}{11 \sqrt{1-2 x} (5 x+3)}-\frac{36 \sqrt{1-2 x} (3 x+2)^2}{605 (5 x+3)}+\frac{27 \sqrt{1-2 x} (265 x+792)}{3025}-\frac{54 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3025 \sqrt{55}}","\frac{7 (3 x+2)^3}{11 \sqrt{1-2 x} (5 x+3)}-\frac{36 \sqrt{1-2 x} (3 x+2)^2}{605 (5 x+3)}+\frac{27 \sqrt{1-2 x} (265 x+792)}{3025}-\frac{54 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3025 \sqrt{55}}",1,"(-36*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(605*(3 + 5*x)) + (7*(2 + 3*x)^3)/(11*Sqrt[1 - 2*x]*(3 + 5*x)) + (27*Sqrt[1 - 2*x]*(792 + 265*x))/3025 - (54*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(3025*Sqrt[55])","A",5,5,24,0.2083,1,"{98, 149, 147, 63, 206}"
2118,1,80,0,0.0199295,"\int \frac{(2+3 x)^3}{(1-2 x)^{3/2} (3+5 x)^2} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^(3/2)*(3 + 5*x)^2),x]","\frac{7 (3 x+2)^2}{11 \sqrt{1-2 x} (5 x+3)}+\frac{18 \sqrt{1-2 x} (935 x+559)}{3025 (5 x+3)}-\frac{204 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3025 \sqrt{55}}","\frac{7 (3 x+2)^2}{11 \sqrt{1-2 x} (5 x+3)}+\frac{18 \sqrt{1-2 x} (935 x+559)}{3025 (5 x+3)}-\frac{204 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3025 \sqrt{55}}",1,"(7*(2 + 3*x)^2)/(11*Sqrt[1 - 2*x]*(3 + 5*x)) + (18*Sqrt[1 - 2*x]*(559 + 935*x))/(3025*(3 + 5*x)) - (204*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(3025*Sqrt[55])","A",4,4,24,0.1667,1,"{98, 146, 63, 206}"
2119,1,68,0,0.0157186,"\int \frac{(2+3 x)^2}{(1-2 x)^{3/2} (3+5 x)^2} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^(3/2)*(3 + 5*x)^2),x]","-\frac{1227 \sqrt{1-2 x}}{1210 (5 x+3)}+\frac{49}{22 \sqrt{1-2 x} (5 x+3)}-\frac{138 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{605 \sqrt{55}}","-\frac{1227 \sqrt{1-2 x}}{1210 (5 x+3)}+\frac{49}{22 \sqrt{1-2 x} (5 x+3)}-\frac{138 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{605 \sqrt{55}}",1,"49/(22*Sqrt[1 - 2*x]*(3 + 5*x)) - (1227*Sqrt[1 - 2*x])/(1210*(3 + 5*x)) - (138*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(605*Sqrt[55])","A",4,4,24,0.1667,1,"{89, 78, 63, 206}"
2120,1,61,0,0.0145457,"\int \frac{2+3 x}{(1-2 x)^{3/2} (3+5 x)^2} \, dx","Int[(2 + 3*x)/((1 - 2*x)^(3/2)*(3 + 5*x)^2),x]","\frac{72}{605 \sqrt{1-2 x}}-\frac{1}{55 \sqrt{1-2 x} (5 x+3)}-\frac{72 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{121 \sqrt{55}}","\frac{72}{605 \sqrt{1-2 x}}-\frac{1}{55 \sqrt{1-2 x} (5 x+3)}-\frac{72 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{121 \sqrt{55}}",1,"72/(605*Sqrt[1 - 2*x]) - 1/(55*Sqrt[1 - 2*x]*(3 + 5*x)) - (72*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(121*Sqrt[55])","A",4,4,22,0.1818,1,"{78, 51, 63, 206}"
2121,1,70,0,0.014371,"\int \frac{1}{(1-2 x)^{3/2} (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^(3/2)*(3 + 5*x)^2),x]","-\frac{15 \sqrt{1-2 x}}{121 (5 x+3)}+\frac{2}{11 \sqrt{1-2 x} (5 x+3)}-\frac{6}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{6}{121 \sqrt{1-2 x}}-\frac{1}{11 \sqrt{1-2 x} (5 x+3)}-\frac{6}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"2/(11*Sqrt[1 - 2*x]*(3 + 5*x)) - (15*Sqrt[1 - 2*x])/(121*(3 + 5*x)) - (6*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/121","A",4,3,17,0.1765,1,"{51, 63, 206}"
2122,1,92,0,0.035132,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x) (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^2),x]","\frac{78}{847 \sqrt{1-2 x}}-\frac{5}{11 \sqrt{1-2 x} (5 x+3)}-\frac{18}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{300}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{78}{847 \sqrt{1-2 x}}-\frac{5}{11 \sqrt{1-2 x} (5 x+3)}-\frac{18}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{300}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"78/(847*Sqrt[1 - 2*x]) - 5/(11*Sqrt[1 - 2*x]*(3 + 5*x)) - (18*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/7 + (300*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/121","A",7,5,24,0.2083,1,"{103, 152, 156, 63, 206}"
2123,1,119,0,0.0454097,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^2 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^2),x]","\frac{4644}{5929 \sqrt{1-2 x}}-\frac{340}{77 \sqrt{1-2 x} (5 x+3)}+\frac{3}{7 \sqrt{1-2 x} (3 x+2) (5 x+3)}-\frac{1314}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{3150}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{4644}{5929 \sqrt{1-2 x}}-\frac{340}{77 \sqrt{1-2 x} (5 x+3)}+\frac{3}{7 \sqrt{1-2 x} (3 x+2) (5 x+3)}-\frac{1314}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{3150}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"4644/(5929*Sqrt[1 - 2*x]) - 340/(77*Sqrt[1 - 2*x]*(3 + 5*x)) + 3/(7*Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)) - (1314*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/49 + (3150*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/121","A",8,6,24,0.2500,1,"{103, 151, 152, 156, 63, 206}"
2124,1,146,0,0.0583304,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^3 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^3*(3 + 5*x)^2),x]","\frac{245865}{41503 \sqrt{1-2 x}}-\frac{36175}{1078 \sqrt{1-2 x} (5 x+3)}+\frac{165}{49 \sqrt{1-2 x} (3 x+2) (5 x+3)}+\frac{3}{14 \sqrt{1-2 x} (3 x+2)^2 (5 x+3)}-\frac{70065}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{24000}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{245865}{41503 \sqrt{1-2 x}}-\frac{36175}{1078 \sqrt{1-2 x} (5 x+3)}+\frac{165}{49 \sqrt{1-2 x} (3 x+2) (5 x+3)}+\frac{3}{14 \sqrt{1-2 x} (3 x+2)^2 (5 x+3)}-\frac{70065}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{24000}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"245865/(41503*Sqrt[1 - 2*x]) - 36175/(1078*Sqrt[1 - 2*x]*(3 + 5*x)) + 3/(14*Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)) + 165/(49*Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)) - (70065*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343 + (24000*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/121","A",9,6,24,0.2500,1,"{103, 151, 152, 156, 63, 206}"
2125,1,147,0,0.0512524,"\int \frac{(2+3 x)^6}{(1-2 x)^{3/2} (3+5 x)^3} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)^(3/2)*(3 + 5*x)^3),x]","\frac{7 (3 x+2)^5}{11 \sqrt{1-2 x} (5 x+3)^2}-\frac{71 \sqrt{1-2 x} (3 x+2)^4}{1210 (5 x+3)^2}-\frac{2721 \sqrt{1-2 x} (3 x+2)^3}{66550 (5 x+3)}+\frac{377748 \sqrt{1-2 x} (3 x+2)^2}{831875}+\frac{63 \sqrt{1-2 x} (831375 x+2492512)}{8318750}-\frac{33873 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{4159375 \sqrt{55}}","\frac{7 (3 x+2)^5}{11 \sqrt{1-2 x} (5 x+3)^2}-\frac{71 \sqrt{1-2 x} (3 x+2)^4}{1210 (5 x+3)^2}-\frac{2721 \sqrt{1-2 x} (3 x+2)^3}{66550 (5 x+3)}+\frac{377748 \sqrt{1-2 x} (3 x+2)^2}{831875}+\frac{63 \sqrt{1-2 x} (831375 x+2492512)}{8318750}-\frac{33873 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{4159375 \sqrt{55}}",1,"(377748*Sqrt[1 - 2*x]*(2 + 3*x)^2)/831875 - (71*Sqrt[1 - 2*x]*(2 + 3*x)^4)/(1210*(3 + 5*x)^2) + (7*(2 + 3*x)^5)/(11*Sqrt[1 - 2*x]*(3 + 5*x)^2) - (2721*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(66550*(3 + 5*x)) + (63*Sqrt[1 - 2*x]*(2492512 + 831375*x))/8318750 - (33873*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(4159375*Sqrt[55])","A",7,6,24,0.2500,1,"{98, 149, 153, 147, 63, 206}"
2126,1,127,0,0.0402577,"\int \frac{(2+3 x)^5}{(1-2 x)^{3/2} (3+5 x)^3} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^(3/2)*(3 + 5*x)^3),x]","\frac{7 (3 x+2)^4}{11 \sqrt{1-2 x} (5 x+3)^2}-\frac{71 \sqrt{1-2 x} (3 x+2)^3}{1210 (5 x+3)^2}-\frac{1344 \sqrt{1-2 x} (3 x+2)^2}{33275 (5 x+3)}+\frac{441 \sqrt{1-2 x} (1125 x+3344)}{332750}-\frac{4557 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{166375 \sqrt{55}}","\frac{7 (3 x+2)^4}{11 \sqrt{1-2 x} (5 x+3)^2}-\frac{71 \sqrt{1-2 x} (3 x+2)^3}{1210 (5 x+3)^2}-\frac{1344 \sqrt{1-2 x} (3 x+2)^2}{33275 (5 x+3)}+\frac{441 \sqrt{1-2 x} (1125 x+3344)}{332750}-\frac{4557 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{166375 \sqrt{55}}",1,"(-71*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(1210*(3 + 5*x)^2) + (7*(2 + 3*x)^4)/(11*Sqrt[1 - 2*x]*(3 + 5*x)^2) - (1344*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(33275*(3 + 5*x)) + (441*Sqrt[1 - 2*x]*(3344 + 1125*x))/332750 - (4557*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(166375*Sqrt[55])","A",6,5,24,0.2083,1,"{98, 149, 147, 63, 206}"
2127,1,107,0,0.0289082,"\int \frac{(2+3 x)^4}{(1-2 x)^{3/2} (3+5 x)^3} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^(3/2)*(3 + 5*x)^3),x]","\frac{7 (3 x+2)^3}{11 \sqrt{1-2 x} (5 x+3)^2}-\frac{71 \sqrt{1-2 x} (3 x+2)^2}{1210 (5 x+3)^2}+\frac{9 \sqrt{1-2 x} (5093 x+3044)}{13310 (5 x+3)}-\frac{111 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331 \sqrt{55}}","\frac{7 (3 x+2)^3}{11 \sqrt{1-2 x} (5 x+3)^2}-\frac{71 \sqrt{1-2 x} (3 x+2)^2}{1210 (5 x+3)^2}+\frac{9 \sqrt{1-2 x} (5093 x+3044)}{13310 (5 x+3)}-\frac{111 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331 \sqrt{55}}",1,"(-71*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(1210*(3 + 5*x)^2) + (7*(2 + 3*x)^3)/(11*Sqrt[1 - 2*x]*(3 + 5*x)^2) + (9*Sqrt[1 - 2*x]*(3044 + 5093*x))/(13310*(3 + 5*x)) - (111*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(1331*Sqrt[55])","A",5,5,24,0.2083,1,"{98, 149, 146, 63, 206}"
2128,1,80,0,0.0190146,"\int \frac{(2+3 x)^3}{(1-2 x)^{3/2} (3+5 x)^3} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^(3/2)*(3 + 5*x)^3),x]","\frac{7 (3 x+2)^2}{11 \sqrt{1-2 x} (5 x+3)^2}-\frac{\sqrt{1-2 x} (24825 x+15676)}{66550 (5 x+3)^2}-\frac{7143 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{33275 \sqrt{55}}","\frac{7 (3 x+2)^2}{11 \sqrt{1-2 x} (5 x+3)^2}-\frac{\sqrt{1-2 x} (24825 x+15676)}{66550 (5 x+3)^2}-\frac{7143 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{33275 \sqrt{55}}",1,"(7*(2 + 3*x)^2)/(11*Sqrt[1 - 2*x]*(3 + 5*x)^2) - (Sqrt[1 - 2*x]*(15676 + 24825*x))/(66550*(3 + 5*x)^2) - (7143*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(33275*Sqrt[55])","A",4,4,24,0.1667,1,"{98, 145, 63, 206}"
2129,1,88,0,0.0225122,"\int \frac{(2+3 x)^2}{(1-2 x)^{3/2} (3+5 x)^3} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^(3/2)*(3 + 5*x)^3),x]","-\frac{2589 \sqrt{1-2 x}}{13310 (5 x+3)}-\frac{613 \sqrt{1-2 x}}{605 (5 x+3)^2}+\frac{49}{22 \sqrt{1-2 x} (5 x+3)^2}-\frac{2589 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{6655 \sqrt{55}}","-\frac{2589 \sqrt{1-2 x}}{13310 (5 x+3)}-\frac{613 \sqrt{1-2 x}}{605 (5 x+3)^2}+\frac{49}{22 \sqrt{1-2 x} (5 x+3)^2}-\frac{2589 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{6655 \sqrt{55}}",1,"49/(22*Sqrt[1 - 2*x]*(3 + 5*x)^2) - (613*Sqrt[1 - 2*x])/(605*(3 + 5*x)^2) - (2589*Sqrt[1 - 2*x])/(13310*(3 + 5*x)) - (2589*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(6655*Sqrt[55])","A",5,5,24,0.2083,1,"{89, 78, 51, 63, 206}"
2130,1,88,0,0.0222866,"\int \frac{2+3 x}{(1-2 x)^{3/2} (3+5 x)^3} \, dx","Int[(2 + 3*x)/((1 - 2*x)^(3/2)*(3 + 5*x)^3),x]","-\frac{213 \sqrt{1-2 x}}{2662 (5 x+3)}+\frac{71}{605 \sqrt{1-2 x} (5 x+3)}-\frac{1}{110 \sqrt{1-2 x} (5 x+3)^2}-\frac{213 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331 \sqrt{55}}","\frac{213}{6655 \sqrt{1-2 x}}-\frac{71}{1210 \sqrt{1-2 x} (5 x+3)}-\frac{1}{110 \sqrt{1-2 x} (5 x+3)^2}-\frac{213 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331 \sqrt{55}}",1,"-1/(110*Sqrt[1 - 2*x]*(3 + 5*x)^2) + 71/(605*Sqrt[1 - 2*x]*(3 + 5*x)) - (213*Sqrt[1 - 2*x])/(2662*(3 + 5*x)) - (213*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(1331*Sqrt[55])","A",5,4,22,0.1818,1,"{78, 51, 63, 206}"
2131,1,90,0,0.0220152,"\int \frac{1}{(1-2 x)^{3/2} (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^(3/2)*(3 + 5*x)^3),x]","-\frac{75 \sqrt{1-2 x}}{2662 (5 x+3)}-\frac{25 \sqrt{1-2 x}}{242 (5 x+3)^2}+\frac{2}{11 \sqrt{1-2 x} (5 x+3)^2}-\frac{15 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}","\frac{15}{1331 \sqrt{1-2 x}}-\frac{5}{242 \sqrt{1-2 x} (5 x+3)}-\frac{1}{22 \sqrt{1-2 x} (5 x+3)^2}-\frac{15 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}",1,"2/(11*Sqrt[1 - 2*x]*(3 + 5*x)^2) - (25*Sqrt[1 - 2*x])/(242*(3 + 5*x)^2) - (75*Sqrt[1 - 2*x])/(2662*(3 + 5*x)) - (15*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/1331","A",5,3,17,0.1765,1,"{51, 63, 206}"
2132,1,112,0,0.046175,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x) (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^3),x]","-\frac{2049}{9317 \sqrt{1-2 x}}+\frac{305}{242 \sqrt{1-2 x} (5 x+3)}-\frac{5}{22 \sqrt{1-2 x} (5 x+3)^2}+\frac{54}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{9975 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}","-\frac{2049}{9317 \sqrt{1-2 x}}+\frac{305}{242 \sqrt{1-2 x} (5 x+3)}-\frac{5}{22 \sqrt{1-2 x} (5 x+3)^2}+\frac{54}{7} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{9975 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}",1,"-2049/(9317*Sqrt[1 - 2*x]) - 5/(22*Sqrt[1 - 2*x]*(3 + 5*x)^2) + 305/(242*Sqrt[1 - 2*x]*(3 + 5*x)) + (54*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/7 - (9975*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/1331","A",8,6,24,0.2500,1,"{103, 151, 152, 156, 63, 206}"
2133,1,139,0,0.0572228,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^2 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^3),x]","-\frac{224967}{65219 \sqrt{1-2 x}}+\frac{33115}{1694 \sqrt{1-2 x} (5 x+3)}-\frac{505}{154 \sqrt{1-2 x} (5 x+3)^2}+\frac{3}{7 \sqrt{1-2 x} (3 x+2) (5 x+3)^2}+\frac{5832}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{153825 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}","-\frac{224967}{65219 \sqrt{1-2 x}}+\frac{33115}{1694 \sqrt{1-2 x} (5 x+3)}-\frac{505}{154 \sqrt{1-2 x} (5 x+3)^2}+\frac{3}{7 \sqrt{1-2 x} (3 x+2) (5 x+3)^2}+\frac{5832}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{153825 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}",1,"-224967/(65219*Sqrt[1 - 2*x]) - 505/(154*Sqrt[1 - 2*x]*(3 + 5*x)^2) + 3/(7*Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^2) + 33115/(1694*Sqrt[1 - 2*x]*(3 + 5*x)) + (5832*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/49 - (153825*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/1331","A",9,6,24,0.2500,1,"{103, 151, 152, 156, 63, 206}"
2134,1,166,0,0.0730113,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^3 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^3*(3 + 5*x)^3),x]","-\frac{15987390}{456533 \sqrt{1-2 x}}+\frac{1176400}{5929 \sqrt{1-2 x} (5 x+3)}-\frac{35825}{1078 \sqrt{1-2 x} (5 x+3)^2}+\frac{435}{98 \sqrt{1-2 x} (3 x+2) (5 x+3)^2}+\frac{3}{14 \sqrt{1-2 x} (3 x+2)^2 (5 x+3)^2}+\frac{414315}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{1561125 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}","-\frac{15987390}{456533 \sqrt{1-2 x}}+\frac{1176400}{5929 \sqrt{1-2 x} (5 x+3)}-\frac{35825}{1078 \sqrt{1-2 x} (5 x+3)^2}+\frac{435}{98 \sqrt{1-2 x} (3 x+2) (5 x+3)^2}+\frac{3}{14 \sqrt{1-2 x} (3 x+2)^2 (5 x+3)^2}+\frac{414315}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{1561125 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}",1,"-15987390/(456533*Sqrt[1 - 2*x]) - 35825/(1078*Sqrt[1 - 2*x]*(3 + 5*x)^2) + 3/(14*Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^2) + 435/(98*Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^2) + 1176400/(5929*Sqrt[1 - 2*x]*(3 + 5*x)) + (414315*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343 - (1561125*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/1331","A",10,6,24,0.2500,1,"{103, 151, 152, 156, 63, 206}"
2135,1,92,0,0.0174089,"\int \frac{(2+3 x)^5 (3+5 x)}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^5*(3 + 5*x))/(1 - 2*x)^(5/2),x]","-\frac{135}{64} (1-2 x)^{9/2}+\frac{1053}{28} (1-2 x)^{7/2}-\frac{19467}{64} (1-2 x)^{5/2}+\frac{12495}{8} (1-2 x)^{3/2}-\frac{519645}{64} \sqrt{1-2 x}-\frac{60025}{8 \sqrt{1-2 x}}+\frac{184877}{192 (1-2 x)^{3/2}}","-\frac{135}{64} (1-2 x)^{9/2}+\frac{1053}{28} (1-2 x)^{7/2}-\frac{19467}{64} (1-2 x)^{5/2}+\frac{12495}{8} (1-2 x)^{3/2}-\frac{519645}{64} \sqrt{1-2 x}-\frac{60025}{8 \sqrt{1-2 x}}+\frac{184877}{192 (1-2 x)^{3/2}}",1,"184877/(192*(1 - 2*x)^(3/2)) - 60025/(8*Sqrt[1 - 2*x]) - (519645*Sqrt[1 - 2*x])/64 + (12495*(1 - 2*x)^(3/2))/8 - (19467*(1 - 2*x)^(5/2))/64 + (1053*(1 - 2*x)^(7/2))/28 - (135*(1 - 2*x)^(9/2))/64","A",2,1,22,0.04545,1,"{77}"
2136,1,79,0,0.0144368,"\int \frac{(2+3 x)^4 (3+5 x)}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^4*(3 + 5*x))/(1 - 2*x)^(5/2),x]","\frac{405}{224} (1-2 x)^{7/2}-\frac{4671}{160} (1-2 x)^{5/2}+\frac{3591}{16} (1-2 x)^{3/2}-\frac{24843}{16} \sqrt{1-2 x}-\frac{57281}{32 \sqrt{1-2 x}}+\frac{26411}{96 (1-2 x)^{3/2}}","\frac{405}{224} (1-2 x)^{7/2}-\frac{4671}{160} (1-2 x)^{5/2}+\frac{3591}{16} (1-2 x)^{3/2}-\frac{24843}{16} \sqrt{1-2 x}-\frac{57281}{32 \sqrt{1-2 x}}+\frac{26411}{96 (1-2 x)^{3/2}}",1,"26411/(96*(1 - 2*x)^(3/2)) - 57281/(32*Sqrt[1 - 2*x]) - (24843*Sqrt[1 - 2*x])/16 + (3591*(1 - 2*x)^(3/2))/16 - (4671*(1 - 2*x)^(5/2))/160 + (405*(1 - 2*x)^(7/2))/224","A",2,1,22,0.04545,1,"{77}"
2137,1,66,0,0.0128068,"\int \frac{(2+3 x)^3 (3+5 x)}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x))/(1 - 2*x)^(5/2),x]","-\frac{27}{16} (1-2 x)^{5/2}+\frac{207}{8} (1-2 x)^{3/2}-\frac{1071}{4} \sqrt{1-2 x}-\frac{3283}{8 \sqrt{1-2 x}}+\frac{3773}{48 (1-2 x)^{3/2}}","-\frac{27}{16} (1-2 x)^{5/2}+\frac{207}{8} (1-2 x)^{3/2}-\frac{1071}{4} \sqrt{1-2 x}-\frac{3283}{8 \sqrt{1-2 x}}+\frac{3773}{48 (1-2 x)^{3/2}}",1,"3773/(48*(1 - 2*x)^(3/2)) - 3283/(8*Sqrt[1 - 2*x]) - (1071*Sqrt[1 - 2*x])/4 + (207*(1 - 2*x)^(3/2))/8 - (27*(1 - 2*x)^(5/2))/16","A",2,1,22,0.04545,1,"{77}"
2138,1,53,0,0.0112432,"\int \frac{(2+3 x)^2 (3+5 x)}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x))/(1 - 2*x)^(5/2),x]","\frac{15}{8} (1-2 x)^{3/2}-\frac{309}{8} \sqrt{1-2 x}-\frac{707}{8 \sqrt{1-2 x}}+\frac{539}{24 (1-2 x)^{3/2}}","\frac{15}{8} (1-2 x)^{3/2}-\frac{309}{8} \sqrt{1-2 x}-\frac{707}{8 \sqrt{1-2 x}}+\frac{539}{24 (1-2 x)^{3/2}}",1,"539/(24*(1 - 2*x)^(3/2)) - 707/(8*Sqrt[1 - 2*x]) - (309*Sqrt[1 - 2*x])/8 + (15*(1 - 2*x)^(3/2))/8","A",2,1,22,0.04545,1,"{77}"
2139,1,38,0,0.0079842,"\int \frac{(2+3 x) (3+5 x)}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)*(3 + 5*x))/(1 - 2*x)^(5/2),x]","-\frac{15}{4} \sqrt{1-2 x}-\frac{17}{\sqrt{1-2 x}}+\frac{77}{12 (1-2 x)^{3/2}}","-\frac{15}{4} \sqrt{1-2 x}-\frac{17}{\sqrt{1-2 x}}+\frac{77}{12 (1-2 x)^{3/2}}",1,"77/(12*(1 - 2*x)^(3/2)) - 17/Sqrt[1 - 2*x] - (15*Sqrt[1 - 2*x])/4","A",2,1,20,0.05000,1,"{77}"
2140,1,27,0,0.005132,"\int \frac{3+5 x}{(1-2 x)^{5/2}} \, dx","Int[(3 + 5*x)/(1 - 2*x)^(5/2),x]","\frac{11}{6 (1-2 x)^{3/2}}-\frac{5}{2 \sqrt{1-2 x}}","\frac{11}{6 (1-2 x)^{3/2}}-\frac{5}{2 \sqrt{1-2 x}}",1,"11/(6*(1 - 2*x)^(3/2)) - 5/(2*Sqrt[1 - 2*x])","A",2,1,15,0.06667,1,"{43}"
2141,1,56,0,0.0129129,"\int \frac{3+5 x}{(1-2 x)^{5/2} (2+3 x)} \, dx","Int[(3 + 5*x)/((1 - 2*x)^(5/2)*(2 + 3*x)),x]","-\frac{2}{49 \sqrt{1-2 x}}+\frac{11}{21 (1-2 x)^{3/2}}+\frac{2}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","-\frac{2}{49 \sqrt{1-2 x}}+\frac{11}{21 (1-2 x)^{3/2}}+\frac{2}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"11/(21*(1 - 2*x)^(3/2)) - 2/(49*Sqrt[1 - 2*x]) + (2*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/49","A",4,4,22,0.1818,1,"{78, 51, 63, 206}"
2142,1,76,0,0.0194147,"\int \frac{3+5 x}{(1-2 x)^{5/2} (2+3 x)^2} \, dx","Int[(3 + 5*x)/((1 - 2*x)^(5/2)*(2 + 3*x)^2),x]","\frac{60}{343 \sqrt{1-2 x}}+\frac{1}{21 (1-2 x)^{3/2} (3 x+2)}+\frac{20}{147 (1-2 x)^{3/2}}-\frac{60}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","\frac{60}{343 \sqrt{1-2 x}}+\frac{1}{21 (1-2 x)^{3/2} (3 x+2)}+\frac{20}{147 (1-2 x)^{3/2}}-\frac{60}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"20/(147*(1 - 2*x)^(3/2)) + 60/(343*Sqrt[1 - 2*x]) + 1/(21*(1 - 2*x)^(3/2)*(2 + 3*x)) - (60*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343","A",5,4,22,0.1818,1,"{78, 51, 63, 206}"
2143,1,96,0,0.0273081,"\int \frac{3+5 x}{(1-2 x)^{5/2} (2+3 x)^3} \, dx","Int[(3 + 5*x)/((1 - 2*x)^(5/2)*(2 + 3*x)^3),x]","\frac{45}{343 \sqrt{1-2 x}}-\frac{3}{14 (1-2 x)^{3/2} (3 x+2)}+\frac{5}{49 (1-2 x)^{3/2}}+\frac{1}{42 (1-2 x)^{3/2} (3 x+2)^2}-\frac{45}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","\frac{45}{343 \sqrt{1-2 x}}-\frac{3}{14 (1-2 x)^{3/2} (3 x+2)}+\frac{5}{49 (1-2 x)^{3/2}}+\frac{1}{42 (1-2 x)^{3/2} (3 x+2)^2}-\frac{45}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"5/(49*(1 - 2*x)^(3/2)) + 45/(343*Sqrt[1 - 2*x]) + 1/(42*(1 - 2*x)^(3/2)*(2 + 3*x)^2) - 3/(14*(1 - 2*x)^(3/2)*(2 + 3*x)) - (45*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343","A",6,4,22,0.1818,1,"{78, 51, 63, 206}"
2144,1,130,0,0.031155,"\int \frac{3+5 x}{(1-2 x)^{5/2} (2+3 x)^4} \, dx","Int[(3 + 5*x)/((1 - 2*x)^(5/2)*(2 + 3*x)^4),x]","-\frac{240 \sqrt{1-2 x}}{2401 (3 x+2)}-\frac{80 \sqrt{1-2 x}}{343 (3 x+2)^2}+\frac{64}{147 \sqrt{1-2 x} (3 x+2)^2}+\frac{64}{441 (1-2 x)^{3/2} (3 x+2)^2}+\frac{1}{63 (1-2 x)^{3/2} (3 x+2)^3}-\frac{160 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{2401}","\frac{160}{2401 \sqrt{1-2 x}}-\frac{16}{147 (1-2 x)^{3/2} (3 x+2)}+\frac{160}{3087 (1-2 x)^{3/2}}-\frac{16}{147 (1-2 x)^{3/2} (3 x+2)^2}+\frac{1}{63 (1-2 x)^{3/2} (3 x+2)^3}-\frac{160 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{2401}",1,"1/(63*(1 - 2*x)^(3/2)*(2 + 3*x)^3) + 64/(441*(1 - 2*x)^(3/2)*(2 + 3*x)^2) + 64/(147*Sqrt[1 - 2*x]*(2 + 3*x)^2) - (80*Sqrt[1 - 2*x])/(343*(2 + 3*x)^2) - (240*Sqrt[1 - 2*x])/(2401*(2 + 3*x)) - (160*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/2401","A",7,4,22,0.1818,1,"{78, 51, 63, 206}"
2145,1,150,0,0.0496317,"\int \frac{3+5 x}{(1-2 x)^{5/2} (2+3 x)^5} \, dx","Int[(3 + 5*x)/((1 - 2*x)^(5/2)*(2 + 3*x)^5),x]","-\frac{5805 \sqrt{1-2 x}}{134456 (3 x+2)}-\frac{1935 \sqrt{1-2 x}}{19208 (3 x+2)^2}-\frac{387 \sqrt{1-2 x}}{1372 (3 x+2)^3}+\frac{387}{686 \sqrt{1-2 x} (3 x+2)^3}+\frac{43}{294 (1-2 x)^{3/2} (3 x+2)^3}+\frac{1}{84 (1-2 x)^{3/2} (3 x+2)^4}-\frac{1935 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{67228}","\frac{1935}{67228 \sqrt{1-2 x}}-\frac{129}{2744 (1-2 x)^{3/2} (3 x+2)}+\frac{215}{9604 (1-2 x)^{3/2}}-\frac{129}{2744 (1-2 x)^{3/2} (3 x+2)^2}-\frac{43}{588 (1-2 x)^{3/2} (3 x+2)^3}+\frac{1}{84 (1-2 x)^{3/2} (3 x+2)^4}-\frac{1935 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{67228}",1,"1/(84*(1 - 2*x)^(3/2)*(2 + 3*x)^4) + 43/(294*(1 - 2*x)^(3/2)*(2 + 3*x)^3) + 387/(686*Sqrt[1 - 2*x]*(2 + 3*x)^3) - (387*Sqrt[1 - 2*x])/(1372*(2 + 3*x)^3) - (1935*Sqrt[1 - 2*x])/(19208*(2 + 3*x)^2) - (5805*Sqrt[1 - 2*x])/(134456*(2 + 3*x)) - (1935*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/67228","A",8,4,22,0.1818,1,"{78, 51, 63, 206}"
2146,1,105,0,0.0196394,"\int \frac{(2+3 x)^5 (3+5 x)^2}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^5*(3 + 5*x)^2)/(1 - 2*x)^(5/2),x]","\frac{6075 (1-2 x)^{11/2}}{1408}-\frac{10845}{128} (1-2 x)^{9/2}+\frac{672003}{896} (1-2 x)^{7/2}-\frac{514017}{128} (1-2 x)^{5/2}+\frac{1965635}{128} (1-2 x)^{3/2}-\frac{8117095}{128} \sqrt{1-2 x}-\frac{6206585}{128 \sqrt{1-2 x}}+\frac{2033647}{384 (1-2 x)^{3/2}}","\frac{6075 (1-2 x)^{11/2}}{1408}-\frac{10845}{128} (1-2 x)^{9/2}+\frac{672003}{896} (1-2 x)^{7/2}-\frac{514017}{128} (1-2 x)^{5/2}+\frac{1965635}{128} (1-2 x)^{3/2}-\frac{8117095}{128} \sqrt{1-2 x}-\frac{6206585}{128 \sqrt{1-2 x}}+\frac{2033647}{384 (1-2 x)^{3/2}}",1,"2033647/(384*(1 - 2*x)^(3/2)) - 6206585/(128*Sqrt[1 - 2*x]) - (8117095*Sqrt[1 - 2*x])/128 + (1965635*(1 - 2*x)^(3/2))/128 - (514017*(1 - 2*x)^(5/2))/128 + (672003*(1 - 2*x)^(7/2))/896 - (10845*(1 - 2*x)^(9/2))/128 + (6075*(1 - 2*x)^(11/2))/1408","A",2,1,24,0.04167,1,"{88}"
2147,1,92,0,0.0167298,"\int \frac{(2+3 x)^4 (3+5 x)^2}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^2)/(1 - 2*x)^(5/2),x]","-\frac{225}{64} (1-2 x)^{9/2}+\frac{13905}{224} (1-2 x)^{7/2}-\frac{159111}{320} (1-2 x)^{5/2}+\frac{40453}{16} (1-2 x)^{3/2}-\frac{832951}{64} \sqrt{1-2 x}-\frac{381073}{32 \sqrt{1-2 x}}+\frac{290521}{192 (1-2 x)^{3/2}}","-\frac{225}{64} (1-2 x)^{9/2}+\frac{13905}{224} (1-2 x)^{7/2}-\frac{159111}{320} (1-2 x)^{5/2}+\frac{40453}{16} (1-2 x)^{3/2}-\frac{832951}{64} \sqrt{1-2 x}-\frac{381073}{32 \sqrt{1-2 x}}+\frac{290521}{192 (1-2 x)^{3/2}}",1,"290521/(192*(1 - 2*x)^(3/2)) - 381073/(32*Sqrt[1 - 2*x]) - (832951*Sqrt[1 - 2*x])/64 + (40453*(1 - 2*x)^(3/2))/16 - (159111*(1 - 2*x)^(5/2))/320 + (13905*(1 - 2*x)^(7/2))/224 - (225*(1 - 2*x)^(9/2))/64","A",2,1,24,0.04167,1,"{88}"
2148,1,79,0,0.0153137,"\int \frac{(2+3 x)^3 (3+5 x)^2}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^2)/(1 - 2*x)^(5/2),x]","\frac{675}{224} (1-2 x)^{7/2}-\frac{1539}{32} (1-2 x)^{5/2}+\frac{5847}{16} (1-2 x)^{3/2}-\frac{39977}{16} \sqrt{1-2 x}-\frac{91091}{32 \sqrt{1-2 x}}+\frac{41503}{96 (1-2 x)^{3/2}}","\frac{675}{224} (1-2 x)^{7/2}-\frac{1539}{32} (1-2 x)^{5/2}+\frac{5847}{16} (1-2 x)^{3/2}-\frac{39977}{16} \sqrt{1-2 x}-\frac{91091}{32 \sqrt{1-2 x}}+\frac{41503}{96 (1-2 x)^{3/2}}",1,"41503/(96*(1 - 2*x)^(3/2)) - 91091/(32*Sqrt[1 - 2*x]) - (39977*Sqrt[1 - 2*x])/16 + (5847*(1 - 2*x)^(3/2))/16 - (1539*(1 - 2*x)^(5/2))/32 + (675*(1 - 2*x)^(7/2))/224","A",2,1,24,0.04167,1,"{88}"
2149,1,66,0,0.0134463,"\int \frac{(2+3 x)^2 (3+5 x)^2}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^2)/(1 - 2*x)^(5/2),x]","-\frac{45}{16} (1-2 x)^{5/2}+\frac{85}{2} (1-2 x)^{3/2}-\frac{3467}{8} \sqrt{1-2 x}-\frac{1309}{2 \sqrt{1-2 x}}+\frac{5929}{48 (1-2 x)^{3/2}}","-\frac{45}{16} (1-2 x)^{5/2}+\frac{85}{2} (1-2 x)^{3/2}-\frac{3467}{8} \sqrt{1-2 x}-\frac{1309}{2 \sqrt{1-2 x}}+\frac{5929}{48 (1-2 x)^{3/2}}",1,"5929/(48*(1 - 2*x)^(3/2)) - 1309/(2*Sqrt[1 - 2*x]) - (3467*Sqrt[1 - 2*x])/8 + (85*(1 - 2*x)^(3/2))/2 - (45*(1 - 2*x)^(5/2))/16","A",2,1,24,0.04167,1,"{88}"
2150,1,53,0,0.0100809,"\int \frac{(2+3 x) (3+5 x)^2}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)*(3 + 5*x)^2)/(1 - 2*x)^(5/2),x]","\frac{25}{8} (1-2 x)^{3/2}-\frac{505}{8} \sqrt{1-2 x}-\frac{1133}{8 \sqrt{1-2 x}}+\frac{847}{24 (1-2 x)^{3/2}}","\frac{25}{8} (1-2 x)^{3/2}-\frac{505}{8} \sqrt{1-2 x}-\frac{1133}{8 \sqrt{1-2 x}}+\frac{847}{24 (1-2 x)^{3/2}}",1,"847/(24*(1 - 2*x)^(3/2)) - 1133/(8*Sqrt[1 - 2*x]) - (505*Sqrt[1 - 2*x])/8 + (25*(1 - 2*x)^(3/2))/8","A",2,1,22,0.04545,1,"{77}"
2151,1,40,0,0.0071897,"\int \frac{(3+5 x)^2}{(1-2 x)^{5/2}} \, dx","Int[(3 + 5*x)^2/(1 - 2*x)^(5/2),x]","-\frac{25}{4} \sqrt{1-2 x}-\frac{55}{2 \sqrt{1-2 x}}+\frac{121}{12 (1-2 x)^{3/2}}","-\frac{25}{4} \sqrt{1-2 x}-\frac{55}{2 \sqrt{1-2 x}}+\frac{121}{12 (1-2 x)^{3/2}}",1,"121/(12*(1 - 2*x)^(3/2)) - 55/(2*Sqrt[1 - 2*x]) - (25*Sqrt[1 - 2*x])/4","A",2,1,17,0.05882,1,"{43}"
2152,1,54,0,0.02376,"\int \frac{(3+5 x)^2}{(1-2 x)^{5/2} (2+3 x)} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^(5/2)*(2 + 3*x)),x]","-\frac{407}{98 \sqrt{1-2 x}}+\frac{121}{42 (1-2 x)^{3/2}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{49 \sqrt{21}}","-\frac{407}{98 \sqrt{1-2 x}}+\frac{121}{42 (1-2 x)^{3/2}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{49 \sqrt{21}}",1,"121/(42*(1 - 2*x)^(3/2)) - 407/(98*Sqrt[1 - 2*x]) - (2*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(49*Sqrt[21])","A",4,3,24,0.1250,1,"{87, 63, 206}"
2153,1,81,0,0.0217992,"\int \frac{(3+5 x)^2}{(1-2 x)^{5/2} (2+3 x)^2} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^(5/2)*(2 + 3*x)^2),x]","-\frac{130}{1029 \sqrt{1-2 x}}-\frac{365}{294 \sqrt{1-2 x} (3 x+2)}+\frac{121}{42 (1-2 x)^{3/2} (3 x+2)}+\frac{130 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{343 \sqrt{21}}","-\frac{130}{1029 \sqrt{1-2 x}}-\frac{365}{294 \sqrt{1-2 x} (3 x+2)}+\frac{121}{42 (1-2 x)^{3/2} (3 x+2)}+\frac{130 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{343 \sqrt{21}}",1,"-130/(1029*Sqrt[1 - 2*x]) + 121/(42*(1 - 2*x)^(3/2)*(2 + 3*x)) - 365/(294*Sqrt[1 - 2*x]*(2 + 3*x)) + (130*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(343*Sqrt[21])","A",5,5,24,0.2083,1,"{89, 78, 51, 63, 206}"
2154,1,110,0,0.0309631,"\int \frac{(3+5 x)^2}{(1-2 x)^{5/2} (2+3 x)^3} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^(5/2)*(2 + 3*x)^3),x]","-\frac{255 \sqrt{1-2 x}}{686 (3 x+2)}+\frac{85}{147 \sqrt{1-2 x} (3 x+2)}-\frac{26}{21 \sqrt{1-2 x} (3 x+2)^2}+\frac{121}{42 (1-2 x)^{3/2} (3 x+2)^2}-\frac{85}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)","\frac{85}{343 \sqrt{1-2 x}}-\frac{85}{294 \sqrt{1-2 x} (3 x+2)}-\frac{26}{21 \sqrt{1-2 x} (3 x+2)^2}+\frac{121}{42 (1-2 x)^{3/2} (3 x+2)^2}-\frac{85}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)",1,"121/(42*(1 - 2*x)^(3/2)*(2 + 3*x)^2) - 26/(21*Sqrt[1 - 2*x]*(2 + 3*x)^2) + 85/(147*Sqrt[1 - 2*x]*(2 + 3*x)) - (255*Sqrt[1 - 2*x])/(686*(2 + 3*x)) - (85*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343","A",6,5,24,0.2083,1,"{89, 78, 51, 63, 206}"
2155,1,128,0,0.0396978,"\int \frac{(3+5 x)^2}{(1-2 x)^{5/2} (2+3 x)^4} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^(5/2)*(2 + 3*x)^4),x]","-\frac{1415 \sqrt{1-2 x}}{4802 (3 x+2)}-\frac{1415 \sqrt{1-2 x}}{2058 (3 x+2)^2}+\frac{566}{441 \sqrt{1-2 x} (3 x+2)^2}-\frac{1091}{882 \sqrt{1-2 x} (3 x+2)^3}+\frac{121}{42 (1-2 x)^{3/2} (3 x+2)^3}-\frac{1415 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{2401 \sqrt{21}}","\frac{1415}{7203 \sqrt{1-2 x}}-\frac{1415}{6174 \sqrt{1-2 x} (3 x+2)}-\frac{283}{882 \sqrt{1-2 x} (3 x+2)^2}-\frac{1091}{882 \sqrt{1-2 x} (3 x+2)^3}+\frac{121}{42 (1-2 x)^{3/2} (3 x+2)^3}-\frac{1415 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{2401 \sqrt{21}}",1,"121/(42*(1 - 2*x)^(3/2)*(2 + 3*x)^3) - 1091/(882*Sqrt[1 - 2*x]*(2 + 3*x)^3) + 566/(441*Sqrt[1 - 2*x]*(2 + 3*x)^2) - (1415*Sqrt[1 - 2*x])/(2058*(2 + 3*x)^2) - (1415*Sqrt[1 - 2*x])/(4802*(2 + 3*x)) - (1415*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(2401*Sqrt[21])","A",7,5,24,0.2083,1,"{89, 78, 51, 63, 206}"
2156,1,148,0,0.048117,"\int \frac{(3+5 x)^2}{(1-2 x)^{5/2} (2+3 x)^5} \, dx","Int[(3 + 5*x)^2/((1 - 2*x)^(5/2)*(2 + 3*x)^5),x]","-\frac{20465 \sqrt{1-2 x}}{134456 (3 x+2)}-\frac{20465 \sqrt{1-2 x}}{57624 (3 x+2)^2}-\frac{4093 \sqrt{1-2 x}}{4116 (3 x+2)^3}+\frac{4093}{2058 \sqrt{1-2 x} (3 x+2)^3}-\frac{727}{588 \sqrt{1-2 x} (3 x+2)^4}+\frac{121}{42 (1-2 x)^{3/2} (3 x+2)^4}-\frac{20465 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{67228 \sqrt{21}}","\frac{20465}{201684 \sqrt{1-2 x}}-\frac{20465}{172872 \sqrt{1-2 x} (3 x+2)}-\frac{4093}{24696 \sqrt{1-2 x} (3 x+2)^2}-\frac{4093}{12348 \sqrt{1-2 x} (3 x+2)^3}-\frac{727}{588 \sqrt{1-2 x} (3 x+2)^4}+\frac{121}{42 (1-2 x)^{3/2} (3 x+2)^4}-\frac{20465 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{67228 \sqrt{21}}",1,"121/(42*(1 - 2*x)^(3/2)*(2 + 3*x)^4) - 727/(588*Sqrt[1 - 2*x]*(2 + 3*x)^4) + 4093/(2058*Sqrt[1 - 2*x]*(2 + 3*x)^3) - (4093*Sqrt[1 - 2*x])/(4116*(2 + 3*x)^3) - (20465*Sqrt[1 - 2*x])/(57624*(2 + 3*x)^2) - (20465*Sqrt[1 - 2*x])/(134456*(2 + 3*x)) - (20465*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(67228*Sqrt[21])","A",8,5,24,0.2083,1,"{89, 78, 51, 63, 206}"
2157,1,118,0,0.0220235,"\int \frac{(2+3 x)^5 (3+5 x)^3}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^5*(3 + 5*x)^3)/(1 - 2*x)^(5/2),x]","-\frac{30375 (1-2 x)^{13/2}}{3328}+\frac{277425 (1-2 x)^{11/2}}{1408}-\frac{246315}{128} (1-2 x)^{9/2}+\frac{10121229}{896} (1-2 x)^{7/2}-\frac{2887773}{64} (1-2 x)^{5/2}+\frac{52725715}{384} (1-2 x)^{3/2}-\frac{60160485}{128} \sqrt{1-2 x}-\frac{39220335}{128 \sqrt{1-2 x}}+\frac{22370117}{768 (1-2 x)^{3/2}}","-\frac{30375 (1-2 x)^{13/2}}{3328}+\frac{277425 (1-2 x)^{11/2}}{1408}-\frac{246315}{128} (1-2 x)^{9/2}+\frac{10121229}{896} (1-2 x)^{7/2}-\frac{2887773}{64} (1-2 x)^{5/2}+\frac{52725715}{384} (1-2 x)^{3/2}-\frac{60160485}{128} \sqrt{1-2 x}-\frac{39220335}{128 \sqrt{1-2 x}}+\frac{22370117}{768 (1-2 x)^{3/2}}",1,"22370117/(768*(1 - 2*x)^(3/2)) - 39220335/(128*Sqrt[1 - 2*x]) - (60160485*Sqrt[1 - 2*x])/128 + (52725715*(1 - 2*x)^(3/2))/384 - (2887773*(1 - 2*x)^(5/2))/64 + (10121229*(1 - 2*x)^(7/2))/896 - (246315*(1 - 2*x)^(9/2))/128 + (277425*(1 - 2*x)^(11/2))/1408 - (30375*(1 - 2*x)^(13/2))/3328","A",2,1,24,0.04167,1,"{88}"
2158,1,105,0,0.0191662,"\int \frac{(2+3 x)^4 (3+5 x)^3}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^3)/(1 - 2*x)^(5/2),x]","\frac{10125 (1-2 x)^{11/2}}{1408}-\frac{17925}{128} (1-2 x)^{9/2}+\frac{1101465}{896} (1-2 x)^{7/2}-\frac{4177401}{640} (1-2 x)^{5/2}+\frac{9504551}{384} (1-2 x)^{3/2}-\frac{12973191}{128} \sqrt{1-2 x}-\frac{9836211}{128 \sqrt{1-2 x}}+\frac{3195731}{384 (1-2 x)^{3/2}}","\frac{10125 (1-2 x)^{11/2}}{1408}-\frac{17925}{128} (1-2 x)^{9/2}+\frac{1101465}{896} (1-2 x)^{7/2}-\frac{4177401}{640} (1-2 x)^{5/2}+\frac{9504551}{384} (1-2 x)^{3/2}-\frac{12973191}{128} \sqrt{1-2 x}-\frac{9836211}{128 \sqrt{1-2 x}}+\frac{3195731}{384 (1-2 x)^{3/2}}",1,"3195731/(384*(1 - 2*x)^(3/2)) - 9836211/(128*Sqrt[1 - 2*x]) - (12973191*Sqrt[1 - 2*x])/128 + (9504551*(1 - 2*x)^(3/2))/384 - (4177401*(1 - 2*x)^(5/2))/640 + (1101465*(1 - 2*x)^(7/2))/896 - (17925*(1 - 2*x)^(9/2))/128 + (10125*(1 - 2*x)^(11/2))/1408","A",2,1,24,0.04167,1,"{88}"
2159,1,92,0,0.0170915,"\int \frac{(2+3 x)^3 (3+5 x)^3}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^3)/(1 - 2*x)^(5/2),x]","-\frac{375}{64} (1-2 x)^{9/2}+\frac{11475}{112} (1-2 x)^{7/2}-\frac{52011}{64} (1-2 x)^{5/2}+\frac{98209}{24} (1-2 x)^{3/2}-\frac{1334949}{64} \sqrt{1-2 x}-\frac{302379}{16 \sqrt{1-2 x}}+\frac{456533}{192 (1-2 x)^{3/2}}","-\frac{375}{64} (1-2 x)^{9/2}+\frac{11475}{112} (1-2 x)^{7/2}-\frac{52011}{64} (1-2 x)^{5/2}+\frac{98209}{24} (1-2 x)^{3/2}-\frac{1334949}{64} \sqrt{1-2 x}-\frac{302379}{16 \sqrt{1-2 x}}+\frac{456533}{192 (1-2 x)^{3/2}}",1,"456533/(192*(1 - 2*x)^(3/2)) - 302379/(16*Sqrt[1 - 2*x]) - (1334949*Sqrt[1 - 2*x])/64 + (98209*(1 - 2*x)^(3/2))/24 - (52011*(1 - 2*x)^(5/2))/64 + (11475*(1 - 2*x)^(7/2))/112 - (375*(1 - 2*x)^(9/2))/64","A",2,1,24,0.04167,1,"{88}"
2160,1,79,0,0.0148918,"\int \frac{(2+3 x)^2 (3+5 x)^3}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^3)/(1 - 2*x)^(5/2),x]","\frac{1125}{224} (1-2 x)^{7/2}-\frac{2535}{32} (1-2 x)^{5/2}+\frac{28555}{48} (1-2 x)^{3/2}-\frac{64317}{16} \sqrt{1-2 x}-\frac{144837}{32 \sqrt{1-2 x}}+\frac{65219}{96 (1-2 x)^{3/2}}","\frac{1125}{224} (1-2 x)^{7/2}-\frac{2535}{32} (1-2 x)^{5/2}+\frac{28555}{48} (1-2 x)^{3/2}-\frac{64317}{16} \sqrt{1-2 x}-\frac{144837}{32 \sqrt{1-2 x}}+\frac{65219}{96 (1-2 x)^{3/2}}",1,"65219/(96*(1 - 2*x)^(3/2)) - 144837/(32*Sqrt[1 - 2*x]) - (64317*Sqrt[1 - 2*x])/16 + (28555*(1 - 2*x)^(3/2))/48 - (2535*(1 - 2*x)^(5/2))/32 + (1125*(1 - 2*x)^(7/2))/224","A",2,1,24,0.04167,1,"{88}"
2161,1,66,0,0.0125482,"\int \frac{(2+3 x) (3+5 x)^3}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)*(3 + 5*x)^3)/(1 - 2*x)^(5/2),x]","-\frac{75}{16} (1-2 x)^{5/2}+\frac{1675}{24} (1-2 x)^{3/2}-\frac{2805}{4} \sqrt{1-2 x}-\frac{8349}{8 \sqrt{1-2 x}}+\frac{9317}{48 (1-2 x)^{3/2}}","-\frac{75}{16} (1-2 x)^{5/2}+\frac{1675}{24} (1-2 x)^{3/2}-\frac{2805}{4} \sqrt{1-2 x}-\frac{8349}{8 \sqrt{1-2 x}}+\frac{9317}{48 (1-2 x)^{3/2}}",1,"9317/(48*(1 - 2*x)^(3/2)) - 8349/(8*Sqrt[1 - 2*x]) - (2805*Sqrt[1 - 2*x])/4 + (1675*(1 - 2*x)^(3/2))/24 - (75*(1 - 2*x)^(5/2))/16","A",2,1,22,0.04545,1,"{77}"
2162,1,53,0,0.0096535,"\int \frac{(3+5 x)^3}{(1-2 x)^{5/2}} \, dx","Int[(3 + 5*x)^3/(1 - 2*x)^(5/2),x]","\frac{125}{24} (1-2 x)^{3/2}-\frac{825}{8} \sqrt{1-2 x}-\frac{1815}{8 \sqrt{1-2 x}}+\frac{1331}{24 (1-2 x)^{3/2}}","\frac{125}{24} (1-2 x)^{3/2}-\frac{825}{8} \sqrt{1-2 x}-\frac{1815}{8 \sqrt{1-2 x}}+\frac{1331}{24 (1-2 x)^{3/2}}",1,"1331/(24*(1 - 2*x)^(3/2)) - 1815/(8*Sqrt[1 - 2*x]) - (825*Sqrt[1 - 2*x])/8 + (125*(1 - 2*x)^(3/2))/24","A",2,1,17,0.05882,1,"{43}"
2163,1,67,0,0.0255756,"\int \frac{(3+5 x)^3}{(1-2 x)^{5/2} (2+3 x)} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^(5/2)*(2 + 3*x)),x]","-\frac{125}{12} \sqrt{1-2 x}-\frac{2178}{49 \sqrt{1-2 x}}+\frac{1331}{84 (1-2 x)^{3/2}}+\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{147 \sqrt{21}}","-\frac{125}{12} \sqrt{1-2 x}-\frac{2178}{49 \sqrt{1-2 x}}+\frac{1331}{84 (1-2 x)^{3/2}}+\frac{2 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{147 \sqrt{21}}",1,"1331/(84*(1 - 2*x)^(3/2)) - 2178/(49*Sqrt[1 - 2*x]) - (125*Sqrt[1 - 2*x])/12 + (2*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(147*Sqrt[21])","A",4,3,24,0.1250,1,"{87, 63, 206}"
2164,1,80,0,0.0193615,"\int \frac{(3+5 x)^3}{(1-2 x)^{5/2} (2+3 x)^2} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^(5/2)*(2 + 3*x)^2),x]","\frac{11 (5 x+3)^2}{21 (1-2 x)^{3/2} (3 x+2)}-\frac{10 (1450 x+969)}{1029 \sqrt{1-2 x} (3 x+2)}-\frac{200 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}","\frac{11 (5 x+3)^2}{21 (1-2 x)^{3/2} (3 x+2)}-\frac{10 (1450 x+969)}{1029 \sqrt{1-2 x} (3 x+2)}-\frac{200 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}",1,"(11*(3 + 5*x)^2)/(21*(1 - 2*x)^(3/2)*(2 + 3*x)) - (10*(969 + 1450*x))/(1029*Sqrt[1 - 2*x]*(2 + 3*x)) - (200*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(1029*Sqrt[21])","A",4,4,24,0.1667,1,"{98, 144, 63, 206}"
2165,1,100,0,0.0263209,"\int \frac{(3+5 x)^3}{(1-2 x)^{5/2} (2+3 x)^3} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^(5/2)*(2 + 3*x)^3),x]","\frac{11 (5 x+3)^2}{21 (1-2 x)^{3/2} (3 x+2)^2}-\frac{720 x+487}{294 \sqrt{1-2 x} (3 x+2)^2}+\frac{905 \sqrt{1-2 x}}{2058 (3 x+2)}+\frac{905 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}","\frac{11 (5 x+3)^2}{21 (1-2 x)^{3/2} (3 x+2)^2}-\frac{720 x+487}{294 \sqrt{1-2 x} (3 x+2)^2}+\frac{905 \sqrt{1-2 x}}{2058 (3 x+2)}+\frac{905 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{1029 \sqrt{21}}",1,"(905*Sqrt[1 - 2*x])/(2058*(2 + 3*x)) + (11*(3 + 5*x)^2)/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^2) - (487 + 720*x)/(294*Sqrt[1 - 2*x]*(2 + 3*x)^2) + (905*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(1029*Sqrt[21])","A",5,5,24,0.2083,1,"{98, 144, 51, 63, 206}"
2166,1,120,0,0.0324268,"\int \frac{(3+5 x)^3}{(1-2 x)^{5/2} (2+3 x)^4} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^(5/2)*(2 + 3*x)^4),x]","\frac{11 (5 x+3)^2}{21 (1-2 x)^{3/2} (3 x+2)^3}+\frac{2 (2027 x+1346)}{441 \sqrt{1-2 x} (3 x+2)^3}-\frac{3755 \sqrt{1-2 x}}{7203 (3 x+2)}-\frac{3755 \sqrt{1-2 x}}{3087 (3 x+2)^2}-\frac{7510 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{7203 \sqrt{21}}","\frac{11 (5 x+3)^2}{21 (1-2 x)^{3/2} (3 x+2)^3}+\frac{2 (2027 x+1346)}{441 \sqrt{1-2 x} (3 x+2)^3}-\frac{3755 \sqrt{1-2 x}}{7203 (3 x+2)}-\frac{3755 \sqrt{1-2 x}}{3087 (3 x+2)^2}-\frac{7510 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{7203 \sqrt{21}}",1,"(-3755*Sqrt[1 - 2*x])/(3087*(2 + 3*x)^2) - (3755*Sqrt[1 - 2*x])/(7203*(2 + 3*x)) + (11*(3 + 5*x)^2)/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^3) + (2*(1346 + 2027*x))/(441*Sqrt[1 - 2*x]*(2 + 3*x)^3) - (7510*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(7203*Sqrt[21])","A",6,5,24,0.2083,1,"{98, 144, 51, 63, 206}"
2167,1,140,0,0.0408503,"\int \frac{(3+5 x)^3}{(1-2 x)^{5/2} (2+3 x)^5} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^(5/2)*(2 + 3*x)^5),x]","\frac{11 (5 x+3)^2}{21 (1-2 x)^{3/2} (3 x+2)^4}+\frac{85754 x+57069}{4116 \sqrt{1-2 x} (3 x+2)^4}-\frac{177635 \sqrt{1-2 x}}{403368 (3 x+2)}-\frac{177635 \sqrt{1-2 x}}{172872 (3 x+2)^2}-\frac{35527 \sqrt{1-2 x}}{12348 (3 x+2)^3}-\frac{177635 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{201684 \sqrt{21}}","\frac{11 (5 x+3)^2}{21 (1-2 x)^{3/2} (3 x+2)^4}+\frac{85754 x+57069}{4116 \sqrt{1-2 x} (3 x+2)^4}-\frac{177635 \sqrt{1-2 x}}{403368 (3 x+2)}-\frac{177635 \sqrt{1-2 x}}{172872 (3 x+2)^2}-\frac{35527 \sqrt{1-2 x}}{12348 (3 x+2)^3}-\frac{177635 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{201684 \sqrt{21}}",1,"(-35527*Sqrt[1 - 2*x])/(12348*(2 + 3*x)^3) - (177635*Sqrt[1 - 2*x])/(172872*(2 + 3*x)^2) - (177635*Sqrt[1 - 2*x])/(403368*(2 + 3*x)) + (11*(3 + 5*x)^2)/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^4) + (57069 + 85754*x)/(4116*Sqrt[1 - 2*x]*(2 + 3*x)^4) - (177635*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(201684*Sqrt[21])","A",7,5,24,0.2083,1,"{98, 144, 51, 63, 206}"
2168,1,160,0,0.0533644,"\int \frac{(3+5 x)^3}{(1-2 x)^{5/2} (2+3 x)^6} \, dx","Int[(3 + 5*x)^3/((1 - 2*x)^(5/2)*(2 + 3*x)^6),x]","\frac{11 (5 x+3)^2}{21 (1-2 x)^{3/2} (3 x+2)^5}+\frac{2 (83544 x+55633)}{5145 \sqrt{1-2 x} (3 x+2)^5}-\frac{81737 \sqrt{1-2 x}}{352947 (3 x+2)}-\frac{81737 \sqrt{1-2 x}}{151263 (3 x+2)^2}-\frac{163474 \sqrt{1-2 x}}{108045 (3 x+2)^3}-\frac{163474 \sqrt{1-2 x}}{36015 (3 x+2)^4}-\frac{163474 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{352947 \sqrt{21}}","\frac{11 (5 x+3)^2}{21 (1-2 x)^{3/2} (3 x+2)^5}+\frac{2 (83544 x+55633)}{5145 \sqrt{1-2 x} (3 x+2)^5}-\frac{81737 \sqrt{1-2 x}}{352947 (3 x+2)}-\frac{81737 \sqrt{1-2 x}}{151263 (3 x+2)^2}-\frac{163474 \sqrt{1-2 x}}{108045 (3 x+2)^3}-\frac{163474 \sqrt{1-2 x}}{36015 (3 x+2)^4}-\frac{163474 \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{352947 \sqrt{21}}",1,"(-163474*Sqrt[1 - 2*x])/(36015*(2 + 3*x)^4) - (163474*Sqrt[1 - 2*x])/(108045*(2 + 3*x)^3) - (81737*Sqrt[1 - 2*x])/(151263*(2 + 3*x)^2) - (81737*Sqrt[1 - 2*x])/(352947*(2 + 3*x)) + (11*(3 + 5*x)^2)/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^5) + (2*(55633 + 83544*x))/(5145*Sqrt[1 - 2*x]*(2 + 3*x)^5) - (163474*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/(352947*Sqrt[21])","A",8,5,24,0.2083,1,"{98, 144, 51, 63, 206}"
2169,1,106,0,0.0665858,"\int \frac{(2+3 x)^6}{(1-2 x)^{5/2} (3+5 x)} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)^(5/2)*(3 + 5*x)),x]","\frac{729 (1-2 x)^{7/2}}{1120}-\frac{43011 (1-2 x)^{5/2}}{4000}+\frac{169209 (1-2 x)^{3/2}}{2000}-\frac{5992353 \sqrt{1-2 x}}{10000}-\frac{2739541}{3872 \sqrt{1-2 x}}+\frac{117649}{1056 (1-2 x)^{3/2}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{75625 \sqrt{55}}","\frac{729 (1-2 x)^{7/2}}{1120}-\frac{43011 (1-2 x)^{5/2}}{4000}+\frac{169209 (1-2 x)^{3/2}}{2000}-\frac{5992353 \sqrt{1-2 x}}{10000}-\frac{2739541}{3872 \sqrt{1-2 x}}+\frac{117649}{1056 (1-2 x)^{3/2}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{75625 \sqrt{55}}",1,"117649/(1056*(1 - 2*x)^(3/2)) - 2739541/(3872*Sqrt[1 - 2*x]) - (5992353*Sqrt[1 - 2*x])/10000 + (169209*(1 - 2*x)^(3/2))/2000 - (43011*(1 - 2*x)^(5/2))/4000 + (729*(1 - 2*x)^(7/2))/1120 - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(75625*Sqrt[55])","A",10,4,24,0.1667,1,"{87, 43, 63, 206}"
2170,1,93,0,0.0524884,"\int \frac{(2+3 x)^5}{(1-2 x)^{5/2} (3+5 x)} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^(5/2)*(3 + 5*x)),x]","-\frac{243}{400} (1-2 x)^{5/2}+\frac{1917}{200} (1-2 x)^{3/2}-\frac{51057}{500} \sqrt{1-2 x}-\frac{156065}{968 \sqrt{1-2 x}}+\frac{16807}{528 (1-2 x)^{3/2}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15125 \sqrt{55}}","-\frac{243}{400} (1-2 x)^{5/2}+\frac{1917}{200} (1-2 x)^{3/2}-\frac{51057}{500} \sqrt{1-2 x}-\frac{156065}{968 \sqrt{1-2 x}}+\frac{16807}{528 (1-2 x)^{3/2}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{15125 \sqrt{55}}",1,"16807/(528*(1 - 2*x)^(3/2)) - 156065/(968*Sqrt[1 - 2*x]) - (51057*Sqrt[1 - 2*x])/500 + (1917*(1 - 2*x)^(3/2))/200 - (243*(1 - 2*x)^(5/2))/400 - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(15125*Sqrt[55])","A",8,4,24,0.1667,1,"{87, 43, 63, 206}"
2171,1,80,0,0.0384894,"\int \frac{(2+3 x)^4}{(1-2 x)^{5/2} (3+5 x)} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^(5/2)*(3 + 5*x)),x]","\frac{27}{40} (1-2 x)^{3/2}-\frac{2889}{200} \sqrt{1-2 x}-\frac{33271}{968 \sqrt{1-2 x}}+\frac{2401}{264 (1-2 x)^{3/2}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3025 \sqrt{55}}","\frac{27}{40} (1-2 x)^{3/2}-\frac{2889}{200} \sqrt{1-2 x}-\frac{33271}{968 \sqrt{1-2 x}}+\frac{2401}{264 (1-2 x)^{3/2}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{3025 \sqrt{55}}",1,"2401/(264*(1 - 2*x)^(3/2)) - 33271/(968*Sqrt[1 - 2*x]) - (2889*Sqrt[1 - 2*x])/200 + (27*(1 - 2*x)^(3/2))/40 - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(3025*Sqrt[55])","A",6,4,24,0.1667,1,"{87, 43, 63, 206}"
2172,1,67,0,0.0266733,"\int \frac{(2+3 x)^3}{(1-2 x)^{5/2} (3+5 x)} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^(5/2)*(3 + 5*x)),x]","-\frac{27}{20} \sqrt{1-2 x}-\frac{784}{121 \sqrt{1-2 x}}+\frac{343}{132 (1-2 x)^{3/2}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{605 \sqrt{55}}","-\frac{27}{20} \sqrt{1-2 x}-\frac{784}{121 \sqrt{1-2 x}}+\frac{343}{132 (1-2 x)^{3/2}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{605 \sqrt{55}}",1,"343/(132*(1 - 2*x)^(3/2)) - 784/(121*Sqrt[1 - 2*x]) - (27*Sqrt[1 - 2*x])/20 - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(605*Sqrt[55])","A",4,3,24,0.1250,1,"{87, 63, 206}"
2173,1,54,0,0.0237088,"\int \frac{(2+3 x)^2}{(1-2 x)^{5/2} (3+5 x)} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^(5/2)*(3 + 5*x)),x]","-\frac{217}{242 \sqrt{1-2 x}}+\frac{49}{66 (1-2 x)^{3/2}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{121 \sqrt{55}}","-\frac{217}{242 \sqrt{1-2 x}}+\frac{49}{66 (1-2 x)^{3/2}}-\frac{2 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{121 \sqrt{55}}",1,"49/(66*(1 - 2*x)^(3/2)) - 217/(242*Sqrt[1 - 2*x]) - (2*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(121*Sqrt[55])","A",4,3,24,0.1250,1,"{87, 63, 206}"
2174,1,56,0,0.0137696,"\int \frac{2+3 x}{(1-2 x)^{5/2} (3+5 x)} \, dx","Int[(2 + 3*x)/((1 - 2*x)^(5/2)*(3 + 5*x)),x]","\frac{2}{121 \sqrt{1-2 x}}+\frac{7}{33 (1-2 x)^{3/2}}-\frac{2}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{2}{121 \sqrt{1-2 x}}+\frac{7}{33 (1-2 x)^{3/2}}-\frac{2}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"7/(33*(1 - 2*x)^(3/2)) + 2/(121*Sqrt[1 - 2*x]) - (2*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/121","A",4,4,22,0.1818,1,"{78, 51, 63, 206}"
2175,1,56,0,0.013328,"\int \frac{1}{(1-2 x)^{5/2} (3+5 x)} \, dx","Int[1/((1 - 2*x)^(5/2)*(3 + 5*x)),x]","\frac{10}{121 \sqrt{1-2 x}}+\frac{2}{33 (1-2 x)^{3/2}}-\frac{10}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{10}{121 \sqrt{1-2 x}}+\frac{2}{33 (1-2 x)^{3/2}}-\frac{10}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"2/(33*(1 - 2*x)^(3/2)) + 10/(121*Sqrt[1 - 2*x]) - (10*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/121","A",4,3,17,0.1765,1,"{51, 63, 206}"
2176,1,85,0,0.0332659,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x) (3+5 x)} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)*(3 + 5*x)),x]","\frac{272}{5929 \sqrt{1-2 x}}+\frac{4}{231 (1-2 x)^{3/2}}+\frac{18}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{50}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","\frac{272}{5929 \sqrt{1-2 x}}+\frac{4}{231 (1-2 x)^{3/2}}+\frac{18}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{50}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"4/(231*(1 - 2*x)^(3/2)) + 272/(5929*Sqrt[1 - 2*x]) + (18*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/49 - (50*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/121","A",7,5,24,0.2083,1,"{85, 152, 156, 63, 206}"
2177,1,105,0,0.0480583,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^2 (3+5 x)} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^2*(3 + 5*x)),x]","-\frac{1370}{41503 \sqrt{1-2 x}}+\frac{3}{7 (1-2 x)^{3/2} (3 x+2)}-\frac{190}{1617 (1-2 x)^{3/2}}+\frac{720}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{250}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{1370}{41503 \sqrt{1-2 x}}+\frac{3}{7 (1-2 x)^{3/2} (3 x+2)}-\frac{190}{1617 (1-2 x)^{3/2}}+\frac{720}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{250}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"-190/(1617*(1 - 2*x)^(3/2)) - 1370/(41503*Sqrt[1 - 2*x]) + 3/(7*(1 - 2*x)^(3/2)*(2 + 3*x)) + (720*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343 - (250*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/121","A",8,5,24,0.2083,1,"{103, 152, 156, 63, 206}"
2178,1,125,0,0.058054,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^3 (3+5 x)} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^3*(3 + 5*x)),x]","-\frac{12295}{41503 \sqrt{1-2 x}}+\frac{33}{14 (1-2 x)^{3/2} (3 x+2)}-\frac{1115}{1617 (1-2 x)^{3/2}}+\frac{3}{14 (1-2 x)^{3/2} (3 x+2)^2}+\frac{3645}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{1250}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{12295}{41503 \sqrt{1-2 x}}+\frac{33}{14 (1-2 x)^{3/2} (3 x+2)}-\frac{1115}{1617 (1-2 x)^{3/2}}+\frac{3}{14 (1-2 x)^{3/2} (3 x+2)^2}+\frac{3645}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{1250}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"-1115/(1617*(1 - 2*x)^(3/2)) - 12295/(41503*Sqrt[1 - 2*x]) + 3/(14*(1 - 2*x)^(3/2)*(2 + 3*x)^2) + 33/(14*(1 - 2*x)^(3/2)*(2 + 3*x)) + (3645*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343 - (1250*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/121","A",9,6,24,0.2500,1,"{103, 151, 152, 156, 63, 206}"
2179,1,145,0,0.0694505,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^4 (3+5 x)} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^4*(3 + 5*x)),x]","-\frac{446660}{290521 \sqrt{1-2 x}}+\frac{582}{49 (1-2 x)^{3/2} (3 x+2)}-\frac{39520}{11319 (1-2 x)^{3/2}}+\frac{57}{49 (1-2 x)^{3/2} (3 x+2)^2}+\frac{1}{7 (1-2 x)^{3/2} (3 x+2)^3}+\frac{127710 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{2401}-\frac{6250}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)","-\frac{446660}{290521 \sqrt{1-2 x}}+\frac{582}{49 (1-2 x)^{3/2} (3 x+2)}-\frac{39520}{11319 (1-2 x)^{3/2}}+\frac{57}{49 (1-2 x)^{3/2} (3 x+2)^2}+\frac{1}{7 (1-2 x)^{3/2} (3 x+2)^3}+\frac{127710 \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)}{2401}-\frac{6250}{121} \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)",1,"-39520/(11319*(1 - 2*x)^(3/2)) - 446660/(290521*Sqrt[1 - 2*x]) + 1/(7*(1 - 2*x)^(3/2)*(2 + 3*x)^3) + 57/(49*(1 - 2*x)^(3/2)*(2 + 3*x)^2) + 582/(49*(1 - 2*x)^(3/2)*(2 + 3*x)) + (127710*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/2401 - (6250*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/121","A",10,6,24,0.2500,1,"{103, 151, 152, 156, 63, 206}"
2180,1,140,0,0.0535995,"\int \frac{(2+3 x)^6}{(1-2 x)^{5/2} (3+5 x)^2} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)^(5/2)*(3 + 5*x)^2),x]","\frac{7 (3 x+2)^5}{33 (1-2 x)^{3/2} (5 x+3)}-\frac{38 (3 x+2)^4}{1815 \sqrt{1-2 x} (5 x+3)}-\frac{10283 (3 x+2)^3}{6655 \sqrt{1-2 x}}-\frac{463344 \sqrt{1-2 x} (3 x+2)^2}{166375}-\frac{21 \sqrt{1-2 x} (1544625 x+4633904)}{831875}-\frac{406 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{831875 \sqrt{55}}","\frac{7 (3 x+2)^5}{33 (1-2 x)^{3/2} (5 x+3)}-\frac{38 (3 x+2)^4}{1815 \sqrt{1-2 x} (5 x+3)}-\frac{10283 (3 x+2)^3}{6655 \sqrt{1-2 x}}-\frac{463344 \sqrt{1-2 x} (3 x+2)^2}{166375}-\frac{21 \sqrt{1-2 x} (1544625 x+4633904)}{831875}-\frac{406 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{831875 \sqrt{55}}",1,"(-463344*Sqrt[1 - 2*x]*(2 + 3*x)^2)/166375 - (10283*(2 + 3*x)^3)/(6655*Sqrt[1 - 2*x]) - (38*(2 + 3*x)^4)/(1815*Sqrt[1 - 2*x]*(3 + 5*x)) + (7*(2 + 3*x)^5)/(33*(1 - 2*x)^(3/2)*(3 + 5*x)) - (21*Sqrt[1 - 2*x]*(4633904 + 1544625*x))/831875 - (406*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(831875*Sqrt[55])","A",7,7,24,0.2917,1,"{98, 149, 150, 153, 147, 63, 206}"
2181,1,120,0,0.0395721,"\int \frac{(2+3 x)^5}{(1-2 x)^{5/2} (3+5 x)^2} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^(5/2)*(3 + 5*x)^2),x]","\frac{7 (3 x+2)^4}{33 (1-2 x)^{3/2} (5 x+3)}-\frac{38 (3 x+2)^3}{1815 \sqrt{1-2 x} (5 x+3)}-\frac{7588 (3 x+2)^2}{6655 \sqrt{1-2 x}}-\frac{6 \sqrt{1-2 x} (38025 x+114092)}{33275}-\frac{68 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{33275 \sqrt{55}}","\frac{7 (3 x+2)^4}{33 (1-2 x)^{3/2} (5 x+3)}-\frac{38 (3 x+2)^3}{1815 \sqrt{1-2 x} (5 x+3)}-\frac{7588 (3 x+2)^2}{6655 \sqrt{1-2 x}}-\frac{6 \sqrt{1-2 x} (38025 x+114092)}{33275}-\frac{68 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{33275 \sqrt{55}}",1,"(-7588*(2 + 3*x)^2)/(6655*Sqrt[1 - 2*x]) - (38*(2 + 3*x)^3)/(1815*Sqrt[1 - 2*x]*(3 + 5*x)) + (7*(2 + 3*x)^4)/(33*(1 - 2*x)^(3/2)*(3 + 5*x)) - (6*Sqrt[1 - 2*x]*(114092 + 38025*x))/33275 - (68*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(33275*Sqrt[55])","A",6,6,24,0.2500,1,"{98, 149, 150, 147, 63, 206}"
2182,1,100,0,0.0291401,"\int \frac{(2+3 x)^4}{(1-2 x)^{5/2} (3+5 x)^2} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^(5/2)*(3 + 5*x)^2),x]","\frac{7 (3 x+2)^3}{33 (1-2 x)^{3/2} (5 x+3)}-\frac{38 (3 x+2)^2}{1815 \sqrt{1-2 x} (5 x+3)}-\frac{3 (40912-24739 x)}{33275 \sqrt{1-2 x}}-\frac{274 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{33275 \sqrt{55}}","\frac{7 (3 x+2)^3}{33 (1-2 x)^{3/2} (5 x+3)}-\frac{38 (3 x+2)^2}{1815 \sqrt{1-2 x} (5 x+3)}-\frac{3 (40912-24739 x)}{33275 \sqrt{1-2 x}}-\frac{274 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{33275 \sqrt{55}}",1,"(-3*(40912 - 24739*x))/(33275*Sqrt[1 - 2*x]) - (38*(2 + 3*x)^2)/(1815*Sqrt[1 - 2*x]*(3 + 5*x)) + (7*(2 + 3*x)^3)/(33*(1 - 2*x)^(3/2)*(3 + 5*x)) - (274*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(33275*Sqrt[55])","A",5,5,24,0.2083,1,"{98, 149, 146, 63, 206}"
2183,1,80,0,0.018714,"\int \frac{(2+3 x)^3}{(1-2 x)^{5/2} (3+5 x)^2} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^(5/2)*(3 + 5*x)^2),x]","\frac{7 (3 x+2)^2}{33 (1-2 x)^{3/2} (5 x+3)}-\frac{2 (17112 x+10309)}{19965 \sqrt{1-2 x} (5 x+3)}-\frac{208 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{6655 \sqrt{55}}","\frac{7 (3 x+2)^2}{33 (1-2 x)^{3/2} (5 x+3)}-\frac{2 (17112 x+10309)}{19965 \sqrt{1-2 x} (5 x+3)}-\frac{208 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{6655 \sqrt{55}}",1,"(7*(2 + 3*x)^2)/(33*(1 - 2*x)^(3/2)*(3 + 5*x)) - (2*(10309 + 17112*x))/(19965*Sqrt[1 - 2*x]*(3 + 5*x)) - (208*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(6655*Sqrt[55])","A",4,4,24,0.1667,1,"{98, 144, 63, 206}"
2184,1,81,0,0.0200319,"\int \frac{(2+3 x)^2}{(1-2 x)^{5/2} (3+5 x)^2} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^(5/2)*(3 + 5*x)^2),x]","\frac{142}{6655 \sqrt{1-2 x}}-\frac{1231}{3630 \sqrt{1-2 x} (5 x+3)}+\frac{49}{66 (1-2 x)^{3/2} (5 x+3)}-\frac{142 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331 \sqrt{55}}","\frac{142}{6655 \sqrt{1-2 x}}-\frac{1231}{3630 \sqrt{1-2 x} (5 x+3)}+\frac{49}{66 (1-2 x)^{3/2} (5 x+3)}-\frac{142 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331 \sqrt{55}}",1,"142/(6655*Sqrt[1 - 2*x]) + 49/(66*(1 - 2*x)^(3/2)*(3 + 5*x)) - 1231/(3630*Sqrt[1 - 2*x]*(3 + 5*x)) - (142*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(1331*Sqrt[55])","A",5,5,24,0.2083,1,"{89, 78, 51, 63, 206}"
2185,1,76,0,0.019041,"\int \frac{2+3 x}{(1-2 x)^{5/2} (3+5 x)^2} \, dx","Int[(2 + 3*x)/((1 - 2*x)^(5/2)*(3 + 5*x)^2),x]","\frac{76}{1331 \sqrt{1-2 x}}-\frac{1}{55 (1-2 x)^{3/2} (5 x+3)}+\frac{76}{1815 (1-2 x)^{3/2}}-\frac{76 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}","\frac{76}{1331 \sqrt{1-2 x}}-\frac{1}{55 (1-2 x)^{3/2} (5 x+3)}+\frac{76}{1815 (1-2 x)^{3/2}}-\frac{76 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}",1,"76/(1815*(1 - 2*x)^(3/2)) + 76/(1331*Sqrt[1 - 2*x]) - 1/(55*(1 - 2*x)^(3/2)*(3 + 5*x)) - (76*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/1331","A",5,4,22,0.1818,1,"{78, 51, 63, 206}"
2186,1,76,0,0.0195709,"\int \frac{1}{(1-2 x)^{5/2} (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^(5/2)*(3 + 5*x)^2),x]","\frac{50}{1331 \sqrt{1-2 x}}-\frac{1}{11 (1-2 x)^{3/2} (5 x+3)}+\frac{10}{363 (1-2 x)^{3/2}}-\frac{50 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}","\frac{50}{1331 \sqrt{1-2 x}}-\frac{1}{11 (1-2 x)^{3/2} (5 x+3)}+\frac{10}{363 (1-2 x)^{3/2}}-\frac{50 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}",1,"10/(363*(1 - 2*x)^(3/2)) + 50/(1331*Sqrt[1 - 2*x]) - 1/(11*(1 - 2*x)^(3/2)*(3 + 5*x)) - (50*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/1331","A",5,3,17,0.1765,1,"{51, 63, 206}"
2187,1,105,0,0.0442246,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x) (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)*(3 + 5*x)^2),x]","\frac{3274}{65219 \sqrt{1-2 x}}-\frac{5}{11 (1-2 x)^{3/2} (5 x+3)}+\frac{218}{2541 (1-2 x)^{3/2}}-\frac{54}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{1400 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}","\frac{3274}{65219 \sqrt{1-2 x}}-\frac{5}{11 (1-2 x)^{3/2} (5 x+3)}+\frac{218}{2541 (1-2 x)^{3/2}}-\frac{54}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{1400 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}",1,"218/(2541*(1 - 2*x)^(3/2)) + 3274/(65219*Sqrt[1 - 2*x]) - 5/(11*(1 - 2*x)^(3/2)*(3 + 5*x)) - (54*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/49 + (1400*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/1331","A",8,5,24,0.2083,1,"{103, 152, 156, 63, 206}"
2188,1,132,0,0.056628,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^2 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^2*(3 + 5*x)^2),x]","\frac{159800}{456533 \sqrt{1-2 x}}+\frac{3}{7 (1-2 x)^{3/2} (3 x+2) (5 x+3)}-\frac{340}{77 (1-2 x)^{3/2} (5 x+3)}+\frac{13900}{17787 (1-2 x)^{3/2}}-\frac{4050}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{15250 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}","\frac{159800}{456533 \sqrt{1-2 x}}+\frac{3}{7 (1-2 x)^{3/2} (3 x+2) (5 x+3)}-\frac{340}{77 (1-2 x)^{3/2} (5 x+3)}+\frac{13900}{17787 (1-2 x)^{3/2}}-\frac{4050}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{15250 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}",1,"13900/(17787*(1 - 2*x)^(3/2)) + 159800/(456533*Sqrt[1 - 2*x]) - 340/(77*(1 - 2*x)^(3/2)*(3 + 5*x)) + 3/(7*(1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)) - (4050*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343 + (15250*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/1331","A",9,6,24,0.2500,1,"{103, 151, 152, 156, 63, 206}"
2189,1,159,0,0.0714527,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^3 (3+5 x)^2} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^3*(3 + 5*x)^2),x]","\frac{172105}{65219 \sqrt{1-2 x}}+\frac{24}{7 (1-2 x)^{3/2} (3 x+2) (5 x+3)}-\frac{745}{22 (1-2 x)^{3/2} (5 x+3)}+\frac{3}{14 (1-2 x)^{3/2} (3 x+2)^2 (5 x+3)}+\frac{15185}{2541 (1-2 x)^{3/2}}-\frac{4455}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{117500 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}","\frac{172105}{65219 \sqrt{1-2 x}}+\frac{24}{7 (1-2 x)^{3/2} (3 x+2) (5 x+3)}-\frac{745}{22 (1-2 x)^{3/2} (5 x+3)}+\frac{3}{14 (1-2 x)^{3/2} (3 x+2)^2 (5 x+3)}+\frac{15185}{2541 (1-2 x)^{3/2}}-\frac{4455}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)+\frac{117500 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1331}",1,"15185/(2541*(1 - 2*x)^(3/2)) + 172105/(65219*Sqrt[1 - 2*x]) - 745/(22*(1 - 2*x)^(3/2)*(3 + 5*x)) + 3/(14*(1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)) + 24/(7*(1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)) - (4455*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/49 + (117500*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/1331","A",10,6,24,0.2500,1,"{103, 151, 152, 156, 63, 206}"
2190,1,147,0,0.0515789,"\int \frac{(2+3 x)^6}{(1-2 x)^{5/2} (3+5 x)^3} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)^(5/2)*(3 + 5*x)^3),x]","\frac{7 (3 x+2)^5}{33 (1-2 x)^{3/2} (5 x+3)^2}-\frac{73 (3 x+2)^4}{3630 \sqrt{1-2 x} (5 x+3)^2}-\frac{3269 (3 x+2)^3}{199650 \sqrt{1-2 x} (5 x+3)}-\frac{256172 (3 x+2)^2}{366025 \sqrt{1-2 x}}-\frac{21 \sqrt{1-2 x} (736875 x+2211616)}{3660250}-\frac{6937 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1830125 \sqrt{55}}","\frac{7 (3 x+2)^5}{33 (1-2 x)^{3/2} (5 x+3)^2}-\frac{73 (3 x+2)^4}{3630 \sqrt{1-2 x} (5 x+3)^2}-\frac{3269 (3 x+2)^3}{199650 \sqrt{1-2 x} (5 x+3)}-\frac{256172 (3 x+2)^2}{366025 \sqrt{1-2 x}}-\frac{21 \sqrt{1-2 x} (736875 x+2211616)}{3660250}-\frac{6937 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{1830125 \sqrt{55}}",1,"(-256172*(2 + 3*x)^2)/(366025*Sqrt[1 - 2*x]) - (73*(2 + 3*x)^4)/(3630*Sqrt[1 - 2*x]*(3 + 5*x)^2) + (7*(2 + 3*x)^5)/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^2) - (3269*(2 + 3*x)^3)/(199650*Sqrt[1 - 2*x]*(3 + 5*x)) - (21*Sqrt[1 - 2*x]*(2211616 + 736875*x))/3660250 - (6937*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(1830125*Sqrt[55])","A",7,6,24,0.2500,1,"{98, 149, 150, 147, 63, 206}"
2191,1,127,0,0.0399178,"\int \frac{(2+3 x)^5}{(1-2 x)^{5/2} (3+5 x)^3} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^(5/2)*(3 + 5*x)^3),x]","\frac{7 (3 x+2)^4}{33 (1-2 x)^{3/2} (5 x+3)^2}-\frac{73 (3 x+2)^3}{3630 \sqrt{1-2 x} (5 x+3)^2}-\frac{317 (3 x+2)^2}{19965 \sqrt{1-2 x} (5 x+3)}-\frac{3 (544568-333311 x)}{732050 \sqrt{1-2 x}}-\frac{4693 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{366025 \sqrt{55}}","\frac{7 (3 x+2)^4}{33 (1-2 x)^{3/2} (5 x+3)^2}-\frac{73 (3 x+2)^3}{3630 \sqrt{1-2 x} (5 x+3)^2}-\frac{317 (3 x+2)^2}{19965 \sqrt{1-2 x} (5 x+3)}-\frac{3 (544568-333311 x)}{732050 \sqrt{1-2 x}}-\frac{4693 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{366025 \sqrt{55}}",1,"(-3*(544568 - 333311*x))/(732050*Sqrt[1 - 2*x]) - (73*(2 + 3*x)^3)/(3630*Sqrt[1 - 2*x]*(3 + 5*x)^2) + (7*(2 + 3*x)^4)/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^2) - (317*(2 + 3*x)^2)/(19965*Sqrt[1 - 2*x]*(3 + 5*x)) - (4693*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(366025*Sqrt[55])","A",6,5,24,0.2083,1,"{98, 149, 146, 63, 206}"
2192,1,107,0,0.0305056,"\int \frac{(2+3 x)^4}{(1-2 x)^{5/2} (3+5 x)^3} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^(5/2)*(3 + 5*x)^3),x]","\frac{7 (3 x+2)^3}{33 (1-2 x)^{3/2} (5 x+3)^2}-\frac{73 (3 x+2)^2}{3630 \sqrt{1-2 x} (5 x+3)^2}-\frac{2133933 x+1287116}{2196150 \sqrt{1-2 x} (5 x+3)}-\frac{14423 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{366025 \sqrt{55}}","\frac{7 (3 x+2)^3}{33 (1-2 x)^{3/2} (5 x+3)^2}-\frac{73 (3 x+2)^2}{3630 \sqrt{1-2 x} (5 x+3)^2}-\frac{2133933 x+1287116}{2196150 \sqrt{1-2 x} (5 x+3)}-\frac{14423 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{366025 \sqrt{55}}",1,"(-73*(2 + 3*x)^2)/(3630*Sqrt[1 - 2*x]*(3 + 5*x)^2) + (7*(2 + 3*x)^3)/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^2) - (1287116 + 2133933*x)/(2196150*Sqrt[1 - 2*x]*(3 + 5*x)) - (14423*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(366025*Sqrt[55])","A",5,5,24,0.2083,1,"{98, 149, 144, 63, 206}"
2193,1,100,0,0.0256688,"\int \frac{(2+3 x)^3}{(1-2 x)^{5/2} (3+5 x)^3} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^(5/2)*(3 + 5*x)^3),x]","\frac{7 (3 x+2)^2}{33 (1-2 x)^{3/2} (5 x+3)^2}+\frac{17296 x+10217}{39930 \sqrt{1-2 x} (5 x+3)^2}-\frac{7559 \sqrt{1-2 x}}{146410 (5 x+3)}-\frac{7559 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{73205 \sqrt{55}}","\frac{7 (3 x+2)^2}{33 (1-2 x)^{3/2} (5 x+3)^2}+\frac{17296 x+10217}{39930 \sqrt{1-2 x} (5 x+3)^2}-\frac{7559 \sqrt{1-2 x}}{146410 (5 x+3)}-\frac{7559 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{73205 \sqrt{55}}",1,"(7*(2 + 3*x)^2)/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^2) - (7559*Sqrt[1 - 2*x])/(146410*(3 + 5*x)) + (10217 + 17296*x)/(39930*Sqrt[1 - 2*x]*(3 + 5*x)^2) - (7559*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(73205*Sqrt[55])","A",5,5,24,0.2083,1,"{98, 144, 51, 63, 206}"
2194,1,108,0,0.0296638,"\int \frac{(2+3 x)^2}{(1-2 x)^{5/2} (3+5 x)^3} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^(5/2)*(3 + 5*x)^3),x]","-\frac{2873 \sqrt{1-2 x}}{29282 (5 x+3)}+\frac{2873}{19965 \sqrt{1-2 x} (5 x+3)}-\frac{614}{1815 \sqrt{1-2 x} (5 x+3)^2}+\frac{49}{66 (1-2 x)^{3/2} (5 x+3)^2}-\frac{2873 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{14641 \sqrt{55}}","\frac{2873}{73205 \sqrt{1-2 x}}-\frac{2873}{39930 \sqrt{1-2 x} (5 x+3)}-\frac{614}{1815 \sqrt{1-2 x} (5 x+3)^2}+\frac{49}{66 (1-2 x)^{3/2} (5 x+3)^2}-\frac{2873 \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{14641 \sqrt{55}}",1,"49/(66*(1 - 2*x)^(3/2)*(3 + 5*x)^2) - 614/(1815*Sqrt[1 - 2*x]*(3 + 5*x)^2) + 2873/(19965*Sqrt[1 - 2*x]*(3 + 5*x)) - (2873*Sqrt[1 - 2*x])/(29282*(3 + 5*x)) - (2873*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/(14641*Sqrt[55])","A",6,5,24,0.2083,1,"{89, 78, 51, 63, 206}"
2195,1,96,0,0.0251085,"\int \frac{2+3 x}{(1-2 x)^{5/2} (3+5 x)^3} \, dx","Int[(2 + 3*x)/((1 - 2*x)^(5/2)*(3 + 5*x)^3),x]","\frac{365}{14641 \sqrt{1-2 x}}-\frac{73}{1210 (1-2 x)^{3/2} (5 x+3)}+\frac{73}{3993 (1-2 x)^{3/2}}-\frac{1}{110 (1-2 x)^{3/2} (5 x+3)^2}-\frac{365 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{14641}","\frac{365}{14641 \sqrt{1-2 x}}-\frac{73}{1210 (1-2 x)^{3/2} (5 x+3)}+\frac{73}{3993 (1-2 x)^{3/2}}-\frac{1}{110 (1-2 x)^{3/2} (5 x+3)^2}-\frac{365 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{14641}",1,"73/(3993*(1 - 2*x)^(3/2)) + 365/(14641*Sqrt[1 - 2*x]) - 1/(110*(1 - 2*x)^(3/2)*(3 + 5*x)^2) - 73/(1210*(1 - 2*x)^(3/2)*(3 + 5*x)) - (365*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/14641","A",6,4,22,0.1818,1,"{78, 51, 63, 206}"
2196,1,110,0,0.028567,"\int \frac{1}{(1-2 x)^{5/2} (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^(5/2)*(3 + 5*x)^3),x]","-\frac{875 \sqrt{1-2 x}}{29282 (5 x+3)}-\frac{875 \sqrt{1-2 x}}{7986 (5 x+3)^2}+\frac{70}{363 \sqrt{1-2 x} (5 x+3)^2}+\frac{2}{33 (1-2 x)^{3/2} (5 x+3)^2}-\frac{175 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{14641}","\frac{175}{14641 \sqrt{1-2 x}}-\frac{7}{242 (1-2 x)^{3/2} (5 x+3)}+\frac{35}{3993 (1-2 x)^{3/2}}-\frac{1}{22 (1-2 x)^{3/2} (5 x+3)^2}-\frac{175 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{14641}",1,"2/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^2) + 70/(363*Sqrt[1 - 2*x]*(3 + 5*x)^2) - (875*Sqrt[1 - 2*x])/(7986*(3 + 5*x)^2) - (875*Sqrt[1 - 2*x])/(29282*(3 + 5*x)) - (175*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/14641","A",6,3,17,0.1765,1,"{51, 63, 206}"
2197,1,125,0,0.0563536,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x) (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)*(3 + 5*x)^3),x]","-\frac{65167}{717409 \sqrt{1-2 x}}+\frac{295}{242 (1-2 x)^{3/2} (5 x+3)}-\frac{5969}{27951 (1-2 x)^{3/2}}-\frac{5}{22 (1-2 x)^{3/2} (5 x+3)^2}+\frac{162}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{47075 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{14641}","-\frac{65167}{717409 \sqrt{1-2 x}}+\frac{295}{242 (1-2 x)^{3/2} (5 x+3)}-\frac{5969}{27951 (1-2 x)^{3/2}}-\frac{5}{22 (1-2 x)^{3/2} (5 x+3)^2}+\frac{162}{49} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{47075 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{14641}",1,"-5969/(27951*(1 - 2*x)^(3/2)) - 65167/(717409*Sqrt[1 - 2*x]) - 5/(22*(1 - 2*x)^(3/2)*(3 + 5*x)^2) + 295/(242*(1 - 2*x)^(3/2)*(3 + 5*x)) + (162*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/49 - (47075*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/14641","A",9,6,24,0.2500,1,"{103, 151, 152, 156, 63, 206}"
2198,1,152,0,0.068985,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^2 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^2*(3 + 5*x)^3),x]","-\frac{7554245}{5021863 \sqrt{1-2 x}}+\frac{32765}{1694 (1-2 x)^{3/2} (5 x+3)}-\frac{667615}{195657 (1-2 x)^{3/2}}+\frac{3}{7 (1-2 x)^{3/2} (3 x+2) (5 x+3)^2}-\frac{505}{154 (1-2 x)^{3/2} (5 x+3)^2}+\frac{17820}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{738625 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{14641}","-\frac{7554245}{5021863 \sqrt{1-2 x}}+\frac{32765}{1694 (1-2 x)^{3/2} (5 x+3)}-\frac{667615}{195657 (1-2 x)^{3/2}}+\frac{3}{7 (1-2 x)^{3/2} (3 x+2) (5 x+3)^2}-\frac{505}{154 (1-2 x)^{3/2} (5 x+3)^2}+\frac{17820}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{738625 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{14641}",1,"-667615/(195657*(1 - 2*x)^(3/2)) - 7554245/(5021863*Sqrt[1 - 2*x]) - 505/(154*(1 - 2*x)^(3/2)*(3 + 5*x)^2) + 3/(7*(1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^2) + 32765/(1694*(1 - 2*x)^(3/2)*(3 + 5*x)) + (17820*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343 - (738625*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/14641","A",10,6,24,0.2500,1,"{103, 151, 152, 156, 63, 206}"
2199,1,179,0,0.0818046,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^3 (3+5 x)^3} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^3*(3 + 5*x)^3),x]","-\frac{77527480}{5021863 \sqrt{1-2 x}}+\frac{167960}{847 (1-2 x)^{3/2} (5 x+3)}-\frac{6845810}{195657 (1-2 x)^{3/2}}+\frac{9}{2 (1-2 x)^{3/2} (3 x+2) (5 x+3)^2}-\frac{5165}{154 (1-2 x)^{3/2} (5 x+3)^2}+\frac{3}{14 (1-2 x)^{3/2} (3 x+2)^2 (5 x+3)^2}+\frac{182655}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{7570625 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{14641}","-\frac{77527480}{5021863 \sqrt{1-2 x}}+\frac{167960}{847 (1-2 x)^{3/2} (5 x+3)}-\frac{6845810}{195657 (1-2 x)^{3/2}}+\frac{9}{2 (1-2 x)^{3/2} (3 x+2) (5 x+3)^2}-\frac{5165}{154 (1-2 x)^{3/2} (5 x+3)^2}+\frac{3}{14 (1-2 x)^{3/2} (3 x+2)^2 (5 x+3)^2}+\frac{182655}{343} \sqrt{\frac{3}{7}} \tanh ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)-\frac{7570625 \sqrt{\frac{5}{11}} \tanh ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)}{14641}",1,"-6845810/(195657*(1 - 2*x)^(3/2)) - 77527480/(5021863*Sqrt[1 - 2*x]) - 5165/(154*(1 - 2*x)^(3/2)*(3 + 5*x)^2) + 3/(14*(1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^2) + 9/(2*(1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^2) + 167960/(847*(1 - 2*x)^(3/2)*(3 + 5*x)) + (182655*Sqrt[3/7]*ArcTanh[Sqrt[3/7]*Sqrt[1 - 2*x]])/343 - (7570625*Sqrt[5/11]*ArcTanh[Sqrt[5/11]*Sqrt[1 - 2*x]])/14641","A",11,6,24,0.2500,1,"{103, 151, 152, 156, 63, 206}"
2200,1,304,0,0.2661389,"\int \sqrt{a+b x} (A+B x) (d+e x)^{5/2} \, dx","Int[Sqrt[a + b*x]*(A + B*x)*(d + e*x)^(5/2),x]","-\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e)^3 (7 a B e-10 A b e+3 b B d)}{128 b^4 e^2}+\frac{(b d-a e)^4 (7 a B e-10 A b e+3 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{128 b^{9/2} e^{5/2}}-\frac{(a+b x)^{3/2} \sqrt{d+e x} (b d-a e)^2 (7 a B e-10 A b e+3 b B d)}{64 b^4 e}-\frac{(a+b x)^{3/2} (d+e x)^{3/2} (b d-a e) (7 a B e-10 A b e+3 b B d)}{48 b^3 e}-\frac{(a+b x)^{3/2} (d+e x)^{5/2} (7 a B e-10 A b e+3 b B d)}{40 b^2 e}+\frac{B (a+b x)^{3/2} (d+e x)^{7/2}}{5 b e}","-\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e)^3 (7 a B e-10 A b e+3 b B d)}{128 b^4 e^2}+\frac{(b d-a e)^4 (7 a B e-10 A b e+3 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{128 b^{9/2} e^{5/2}}-\frac{(a+b x)^{3/2} \sqrt{d+e x} (b d-a e)^2 (7 a B e-10 A b e+3 b B d)}{64 b^4 e}-\frac{(a+b x)^{3/2} (d+e x)^{3/2} (b d-a e) (7 a B e-10 A b e+3 b B d)}{48 b^3 e}-\frac{(a+b x)^{3/2} (d+e x)^{5/2} (7 a B e-10 A b e+3 b B d)}{40 b^2 e}+\frac{B (a+b x)^{3/2} (d+e x)^{7/2}}{5 b e}",1,"-((b*d - a*e)^3*(3*b*B*d - 10*A*b*e + 7*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(128*b^4*e^2) - ((b*d - a*e)^2*(3*b*B*d - 10*A*b*e + 7*a*B*e)*(a + b*x)^(3/2)*Sqrt[d + e*x])/(64*b^4*e) - ((b*d - a*e)*(3*b*B*d - 10*A*b*e + 7*a*B*e)*(a + b*x)^(3/2)*(d + e*x)^(3/2))/(48*b^3*e) - ((3*b*B*d - 10*A*b*e + 7*a*B*e)*(a + b*x)^(3/2)*(d + e*x)^(5/2))/(40*b^2*e) + (B*(a + b*x)^(3/2)*(d + e*x)^(7/2))/(5*b*e) + ((b*d - a*e)^4*(3*b*B*d - 10*A*b*e + 7*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(128*b^(9/2)*e^(5/2))","A",8,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2201,1,250,0,0.2000708,"\int \sqrt{a+b x} (A+B x) (d+e x)^{3/2} \, dx","Int[Sqrt[a + b*x]*(A + B*x)*(d + e*x)^(3/2),x]","-\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e)^2 (5 a B e-8 A b e+3 b B d)}{64 b^3 e^2}+\frac{(b d-a e)^3 (5 a B e-8 A b e+3 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{64 b^{7/2} e^{5/2}}-\frac{(a+b x)^{3/2} \sqrt{d+e x} (b d-a e) (5 a B e-8 A b e+3 b B d)}{32 b^3 e}-\frac{(a+b x)^{3/2} (d+e x)^{3/2} (5 a B e-8 A b e+3 b B d)}{24 b^2 e}+\frac{B (a+b x)^{3/2} (d+e x)^{5/2}}{4 b e}","-\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e)^2 (5 a B e-8 A b e+3 b B d)}{64 b^3 e^2}+\frac{(b d-a e)^3 (5 a B e-8 A b e+3 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{64 b^{7/2} e^{5/2}}-\frac{(a+b x)^{3/2} \sqrt{d+e x} (b d-a e) (5 a B e-8 A b e+3 b B d)}{32 b^3 e}-\frac{(a+b x)^{3/2} (d+e x)^{3/2} (5 a B e-8 A b e+3 b B d)}{24 b^2 e}+\frac{B (a+b x)^{3/2} (d+e x)^{5/2}}{4 b e}",1,"-((b*d - a*e)^2*(3*b*B*d - 8*A*b*e + 5*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(64*b^3*e^2) - ((b*d - a*e)*(3*b*B*d - 8*A*b*e + 5*a*B*e)*(a + b*x)^(3/2)*Sqrt[d + e*x])/(32*b^3*e) - ((3*b*B*d - 8*A*b*e + 5*a*B*e)*(a + b*x)^(3/2)*(d + e*x)^(3/2))/(24*b^2*e) + (B*(a + b*x)^(3/2)*(d + e*x)^(5/2))/(4*b*e) + ((b*d - a*e)^3*(3*b*B*d - 8*A*b*e + 5*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(64*b^(7/2)*e^(5/2))","A",7,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2202,1,196,0,0.1500533,"\int \sqrt{a+b x} (A+B x) \sqrt{d+e x} \, dx","Int[Sqrt[a + b*x]*(A + B*x)*Sqrt[d + e*x],x]","\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e) (2 A b e-B (a e+b d))}{8 b^2 e^2}-\frac{(b d-a e)^2 (2 A b e-B (a e+b d)) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{8 b^{5/2} e^{5/2}}+\frac{(a+b x)^{3/2} \sqrt{d+e x} (2 A b e-B (a e+b d))}{4 b^2 e}+\frac{B (a+b x)^{3/2} (d+e x)^{3/2}}{3 b e}","\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e) (2 A b e-B (a e+b d))}{8 b^2 e^2}-\frac{(b d-a e)^2 (2 A b e-B (a e+b d)) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{8 b^{5/2} e^{5/2}}+\frac{(a+b x)^{3/2} \sqrt{d+e x} (2 A b e-B (a e+b d))}{4 b^2 e}+\frac{B (a+b x)^{3/2} (d+e x)^{3/2}}{3 b e}",1,"((b*d - a*e)*(2*A*b*e - B*(b*d + a*e))*Sqrt[a + b*x]*Sqrt[d + e*x])/(8*b^2*e^2) + ((2*A*b*e - B*(b*d + a*e))*(a + b*x)^(3/2)*Sqrt[d + e*x])/(4*b^2*e) + (B*(a + b*x)^(3/2)*(d + e*x)^(3/2))/(3*b*e) - ((b*d - a*e)^2*(2*A*b*e - B*(b*d + a*e))*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(8*b^(5/2)*e^(5/2))","A",6,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2203,1,140,0,0.1053305,"\int \frac{\sqrt{a+b x} (A+B x)}{\sqrt{d+e x}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/Sqrt[d + e*x],x]","\frac{(b d-a e) (a B e-4 A b e+3 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{4 b^{3/2} e^{5/2}}-\frac{\sqrt{a+b x} \sqrt{d+e x} (a B e-4 A b e+3 b B d)}{4 b e^2}+\frac{B (a+b x)^{3/2} \sqrt{d+e x}}{2 b e}","\frac{(b d-a e) (a B e-4 A b e+3 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{4 b^{3/2} e^{5/2}}-\frac{\sqrt{a+b x} \sqrt{d+e x} (a B e-4 A b e+3 b B d)}{4 b e^2}+\frac{B (a+b x)^{3/2} \sqrt{d+e x}}{2 b e}",1,"-((3*b*B*d - 4*A*b*e + a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(4*b*e^2) + (B*(a + b*x)^(3/2)*Sqrt[d + e*x])/(2*b*e) + ((b*d - a*e)*(3*b*B*d - 4*A*b*e + a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(4*b^(3/2)*e^(5/2))","A",5,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2204,1,148,0,0.1196794,"\int \frac{\sqrt{a+b x} (A+B x)}{(d+e x)^{3/2}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/(d + e*x)^(3/2),x]","\frac{\sqrt{a+b x} \sqrt{d+e x} (-a B e-2 A b e+3 b B d)}{e^2 (b d-a e)}-\frac{(-a B e-2 A b e+3 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{\sqrt{b} e^{5/2}}-\frac{2 (a+b x)^{3/2} (B d-A e)}{e \sqrt{d+e x} (b d-a e)}","\frac{\sqrt{a+b x} \sqrt{d+e x} (-a B e-2 A b e+3 b B d)}{e^2 (b d-a e)}-\frac{(-a B e-2 A b e+3 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{\sqrt{b} e^{5/2}}-\frac{2 (a+b x)^{3/2} (B d-A e)}{e \sqrt{d+e x} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(3/2))/(e*(b*d - a*e)*Sqrt[d + e*x]) + ((3*b*B*d - 2*A*b*e - a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(e^2*(b*d - a*e)) - ((3*b*B*d - 2*A*b*e - a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(Sqrt[b]*e^(5/2))","A",5,5,24,0.2083,1,"{78, 50, 63, 217, 206}"
2205,1,111,0,0.0603796,"\int \frac{\sqrt{a+b x} (A+B x)}{(d+e x)^{5/2}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/(d + e*x)^(5/2),x]","-\frac{2 (a+b x)^{3/2} (B d-A e)}{3 e (d+e x)^{3/2} (b d-a e)}-\frac{2 B \sqrt{a+b x}}{e^2 \sqrt{d+e x}}+\frac{2 \sqrt{b} B \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{e^{5/2}}","-\frac{2 (a+b x)^{3/2} (B d-A e)}{3 e (d+e x)^{3/2} (b d-a e)}-\frac{2 B \sqrt{a+b x}}{e^2 \sqrt{d+e x}}+\frac{2 \sqrt{b} B \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{e^{5/2}}",1,"(-2*(B*d - A*e)*(a + b*x)^(3/2))/(3*e*(b*d - a*e)*(d + e*x)^(3/2)) - (2*B*Sqrt[a + b*x])/(e^2*Sqrt[d + e*x]) + (2*Sqrt[b]*B*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/e^(5/2)","A",5,5,24,0.2083,1,"{78, 47, 63, 217, 206}"
2206,1,95,0,0.0509111,"\int \frac{\sqrt{a+b x} (A+B x)}{(d+e x)^{7/2}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/(d + e*x)^(7/2),x]","\frac{2 (a+b x)^{3/2} (-5 a B e+2 A b e+3 b B d)}{15 e (d+e x)^{3/2} (b d-a e)^2}-\frac{2 (a+b x)^{3/2} (B d-A e)}{5 e (d+e x)^{5/2} (b d-a e)}","\frac{2 (a+b x)^{3/2} (-5 a B e+2 A b e+3 b B d)}{15 e (d+e x)^{3/2} (b d-a e)^2}-\frac{2 (a+b x)^{3/2} (B d-A e)}{5 e (d+e x)^{5/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(3/2))/(5*e*(b*d - a*e)*(d + e*x)^(5/2)) + (2*(3*b*B*d + 2*A*b*e - 5*a*B*e)*(a + b*x)^(3/2))/(15*e*(b*d - a*e)^2*(d + e*x)^(3/2))","A",2,2,24,0.08333,1,"{78, 37}"
2207,1,147,0,0.0896367,"\int \frac{\sqrt{a+b x} (A+B x)}{(d+e x)^{9/2}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/(d + e*x)^(9/2),x]","\frac{4 b (a+b x)^{3/2} (-7 a B e+4 A b e+3 b B d)}{105 e (d+e x)^{3/2} (b d-a e)^3}+\frac{2 (a+b x)^{3/2} (-7 a B e+4 A b e+3 b B d)}{35 e (d+e x)^{5/2} (b d-a e)^2}-\frac{2 (a+b x)^{3/2} (B d-A e)}{7 e (d+e x)^{7/2} (b d-a e)}","\frac{4 b (a+b x)^{3/2} (-7 a B e+4 A b e+3 b B d)}{105 e (d+e x)^{3/2} (b d-a e)^3}+\frac{2 (a+b x)^{3/2} (-7 a B e+4 A b e+3 b B d)}{35 e (d+e x)^{5/2} (b d-a e)^2}-\frac{2 (a+b x)^{3/2} (B d-A e)}{7 e (d+e x)^{7/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(3/2))/(7*e*(b*d - a*e)*(d + e*x)^(7/2)) + (2*(3*b*B*d + 4*A*b*e - 7*a*B*e)*(a + b*x)^(3/2))/(35*e*(b*d - a*e)^2*(d + e*x)^(5/2)) + (4*b*(3*b*B*d + 4*A*b*e - 7*a*B*e)*(a + b*x)^(3/2))/(105*e*(b*d - a*e)^3*(d + e*x)^(3/2))","A",3,3,24,0.1250,1,"{78, 45, 37}"
2208,1,198,0,0.1166839,"\int \frac{\sqrt{a+b x} (A+B x)}{(d+e x)^{11/2}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/(d + e*x)^(11/2),x]","\frac{16 b^2 (a+b x)^{3/2} (-3 a B e+2 A b e+b B d)}{315 e (d+e x)^{3/2} (b d-a e)^4}+\frac{8 b (a+b x)^{3/2} (-3 a B e+2 A b e+b B d)}{105 e (d+e x)^{5/2} (b d-a e)^3}+\frac{2 (a+b x)^{3/2} (-3 a B e+2 A b e+b B d)}{21 e (d+e x)^{7/2} (b d-a e)^2}-\frac{2 (a+b x)^{3/2} (B d-A e)}{9 e (d+e x)^{9/2} (b d-a e)}","\frac{16 b^2 (a+b x)^{3/2} (-3 a B e+2 A b e+b B d)}{315 e (d+e x)^{3/2} (b d-a e)^4}+\frac{8 b (a+b x)^{3/2} (-3 a B e+2 A b e+b B d)}{105 e (d+e x)^{5/2} (b d-a e)^3}+\frac{2 (a+b x)^{3/2} (-3 a B e+2 A b e+b B d)}{21 e (d+e x)^{7/2} (b d-a e)^2}-\frac{2 (a+b x)^{3/2} (B d-A e)}{9 e (d+e x)^{9/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(3/2))/(9*e*(b*d - a*e)*(d + e*x)^(9/2)) + (2*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^(3/2))/(21*e*(b*d - a*e)^2*(d + e*x)^(7/2)) + (8*b*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^(3/2))/(105*e*(b*d - a*e)^3*(d + e*x)^(5/2)) + (16*b^2*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^(3/2))/(315*e*(b*d - a*e)^4*(d + e*x)^(3/2))","A",4,3,24,0.1250,1,"{78, 45, 37}"
2209,1,255,0,0.1687542,"\int \frac{\sqrt{a+b x} (A+B x)}{(d+e x)^{13/2}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/(d + e*x)^(13/2),x]","\frac{32 b^3 (a+b x)^{3/2} (-11 a B e+8 A b e+3 b B d)}{3465 e (d+e x)^{3/2} (b d-a e)^5}+\frac{16 b^2 (a+b x)^{3/2} (-11 a B e+8 A b e+3 b B d)}{1155 e (d+e x)^{5/2} (b d-a e)^4}+\frac{4 b (a+b x)^{3/2} (-11 a B e+8 A b e+3 b B d)}{231 e (d+e x)^{7/2} (b d-a e)^3}+\frac{2 (a+b x)^{3/2} (-11 a B e+8 A b e+3 b B d)}{99 e (d+e x)^{9/2} (b d-a e)^2}-\frac{2 (a+b x)^{3/2} (B d-A e)}{11 e (d+e x)^{11/2} (b d-a e)}","\frac{32 b^3 (a+b x)^{3/2} (-11 a B e+8 A b e+3 b B d)}{3465 e (d+e x)^{3/2} (b d-a e)^5}+\frac{16 b^2 (a+b x)^{3/2} (-11 a B e+8 A b e+3 b B d)}{1155 e (d+e x)^{5/2} (b d-a e)^4}+\frac{4 b (a+b x)^{3/2} (-11 a B e+8 A b e+3 b B d)}{231 e (d+e x)^{7/2} (b d-a e)^3}+\frac{2 (a+b x)^{3/2} (-11 a B e+8 A b e+3 b B d)}{99 e (d+e x)^{9/2} (b d-a e)^2}-\frac{2 (a+b x)^{3/2} (B d-A e)}{11 e (d+e x)^{11/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(3/2))/(11*e*(b*d - a*e)*(d + e*x)^(11/2)) + (2*(3*b*B*d + 8*A*b*e - 11*a*B*e)*(a + b*x)^(3/2))/(99*e*(b*d - a*e)^2*(d + e*x)^(9/2)) + (4*b*(3*b*B*d + 8*A*b*e - 11*a*B*e)*(a + b*x)^(3/2))/(231*e*(b*d - a*e)^3*(d + e*x)^(7/2)) + (16*b^2*(3*b*B*d + 8*A*b*e - 11*a*B*e)*(a + b*x)^(3/2))/(1155*e*(b*d - a*e)^4*(d + e*x)^(5/2)) + (32*b^3*(3*b*B*d + 8*A*b*e - 11*a*B*e)*(a + b*x)^(3/2))/(3465*e*(b*d - a*e)^5*(d + e*x)^(3/2))","A",5,3,24,0.1250,1,"{78, 45, 37}"
2210,1,309,0,0.2097788,"\int \frac{\sqrt{a+b x} (A+B x)}{(d+e x)^{15/2}} \, dx","Int[(Sqrt[a + b*x]*(A + B*x))/(d + e*x)^(15/2),x]","\frac{256 b^4 (a+b x)^{3/2} (-13 a B e+10 A b e+3 b B d)}{45045 e (d+e x)^{3/2} (b d-a e)^6}+\frac{128 b^3 (a+b x)^{3/2} (-13 a B e+10 A b e+3 b B d)}{15015 e (d+e x)^{5/2} (b d-a e)^5}+\frac{32 b^2 (a+b x)^{3/2} (-13 a B e+10 A b e+3 b B d)}{3003 e (d+e x)^{7/2} (b d-a e)^4}+\frac{16 b (a+b x)^{3/2} (-13 a B e+10 A b e+3 b B d)}{1287 e (d+e x)^{9/2} (b d-a e)^3}+\frac{2 (a+b x)^{3/2} (-13 a B e+10 A b e+3 b B d)}{143 e (d+e x)^{11/2} (b d-a e)^2}-\frac{2 (a+b x)^{3/2} (B d-A e)}{13 e (d+e x)^{13/2} (b d-a e)}","\frac{256 b^4 (a+b x)^{3/2} (-13 a B e+10 A b e+3 b B d)}{45045 e (d+e x)^{3/2} (b d-a e)^6}+\frac{128 b^3 (a+b x)^{3/2} (-13 a B e+10 A b e+3 b B d)}{15015 e (d+e x)^{5/2} (b d-a e)^5}+\frac{32 b^2 (a+b x)^{3/2} (-13 a B e+10 A b e+3 b B d)}{3003 e (d+e x)^{7/2} (b d-a e)^4}+\frac{16 b (a+b x)^{3/2} (-13 a B e+10 A b e+3 b B d)}{1287 e (d+e x)^{9/2} (b d-a e)^3}+\frac{2 (a+b x)^{3/2} (-13 a B e+10 A b e+3 b B d)}{143 e (d+e x)^{11/2} (b d-a e)^2}-\frac{2 (a+b x)^{3/2} (B d-A e)}{13 e (d+e x)^{13/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(3/2))/(13*e*(b*d - a*e)*(d + e*x)^(13/2)) + (2*(3*b*B*d + 10*A*b*e - 13*a*B*e)*(a + b*x)^(3/2))/(143*e*(b*d - a*e)^2*(d + e*x)^(11/2)) + (16*b*(3*b*B*d + 10*A*b*e - 13*a*B*e)*(a + b*x)^(3/2))/(1287*e*(b*d - a*e)^3*(d + e*x)^(9/2)) + (32*b^2*(3*b*B*d + 10*A*b*e - 13*a*B*e)*(a + b*x)^(3/2))/(3003*e*(b*d - a*e)^4*(d + e*x)^(7/2)) + (128*b^3*(3*b*B*d + 10*A*b*e - 13*a*B*e)*(a + b*x)^(3/2))/(15015*e*(b*d - a*e)^5*(d + e*x)^(5/2)) + (256*b^4*(3*b*B*d + 10*A*b*e - 13*a*B*e)*(a + b*x)^(3/2))/(45045*e*(b*d - a*e)^6*(d + e*x)^(3/2))","A",6,3,24,0.1250,1,"{78, 45, 37}"
2211,1,358,0,0.3196156,"\int (a+b x)^{3/2} (A+B x) (d+e x)^{5/2} \, dx","Int[(a + b*x)^(3/2)*(A + B*x)*(d + e*x)^(5/2),x]","\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e)^4 (7 a B e-12 A b e+5 b B d)}{512 b^4 e^3}-\frac{(a+b x)^{3/2} \sqrt{d+e x} (b d-a e)^3 (7 a B e-12 A b e+5 b B d)}{768 b^4 e^2}-\frac{(b d-a e)^5 (7 a B e-12 A b e+5 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{512 b^{9/2} e^{7/2}}-\frac{(a+b x)^{5/2} \sqrt{d+e x} (b d-a e)^2 (7 a B e-12 A b e+5 b B d)}{192 b^4 e}-\frac{(a+b x)^{5/2} (d+e x)^{3/2} (b d-a e) (7 a B e-12 A b e+5 b B d)}{96 b^3 e}-\frac{(a+b x)^{5/2} (d+e x)^{5/2} (7 a B e-12 A b e+5 b B d)}{60 b^2 e}+\frac{B (a+b x)^{5/2} (d+e x)^{7/2}}{6 b e}","\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e)^4 (7 a B e-12 A b e+5 b B d)}{512 b^4 e^3}-\frac{(a+b x)^{3/2} \sqrt{d+e x} (b d-a e)^3 (7 a B e-12 A b e+5 b B d)}{768 b^4 e^2}-\frac{(b d-a e)^5 (7 a B e-12 A b e+5 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{512 b^{9/2} e^{7/2}}-\frac{(a+b x)^{5/2} \sqrt{d+e x} (b d-a e)^2 (7 a B e-12 A b e+5 b B d)}{192 b^4 e}-\frac{(a+b x)^{5/2} (d+e x)^{3/2} (b d-a e) (7 a B e-12 A b e+5 b B d)}{96 b^3 e}-\frac{(a+b x)^{5/2} (d+e x)^{5/2} (7 a B e-12 A b e+5 b B d)}{60 b^2 e}+\frac{B (a+b x)^{5/2} (d+e x)^{7/2}}{6 b e}",1,"((b*d - a*e)^4*(5*b*B*d - 12*A*b*e + 7*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(512*b^4*e^3) - ((b*d - a*e)^3*(5*b*B*d - 12*A*b*e + 7*a*B*e)*(a + b*x)^(3/2)*Sqrt[d + e*x])/(768*b^4*e^2) - ((b*d - a*e)^2*(5*b*B*d - 12*A*b*e + 7*a*B*e)*(a + b*x)^(5/2)*Sqrt[d + e*x])/(192*b^4*e) - ((b*d - a*e)*(5*b*B*d - 12*A*b*e + 7*a*B*e)*(a + b*x)^(5/2)*(d + e*x)^(3/2))/(96*b^3*e) - ((5*b*B*d - 12*A*b*e + 7*a*B*e)*(a + b*x)^(5/2)*(d + e*x)^(5/2))/(60*b^2*e) + (B*(a + b*x)^(5/2)*(d + e*x)^(7/2))/(6*b*e) - ((b*d - a*e)^5*(5*b*B*d - 12*A*b*e + 7*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(512*b^(9/2)*e^(7/2))","A",9,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2212,1,304,0,0.2412036,"\int (a+b x)^{3/2} (A+B x) (d+e x)^{3/2} \, dx","Int[(a + b*x)^(3/2)*(A + B*x)*(d + e*x)^(3/2),x]","-\frac{3 \sqrt{a+b x} \sqrt{d+e x} (b d-a e)^3 (2 A b e-B (a e+b d))}{128 b^3 e^3}+\frac{(a+b x)^{3/2} \sqrt{d+e x} (b d-a e)^2 (2 A b e-B (a e+b d))}{64 b^3 e^2}+\frac{3 (b d-a e)^4 (2 A b e-B (a e+b d)) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{128 b^{7/2} e^{7/2}}+\frac{(a+b x)^{5/2} \sqrt{d+e x} (b d-a e) (2 A b e-B (a e+b d))}{16 b^3 e}+\frac{(a+b x)^{5/2} (d+e x)^{3/2} (2 A b e-B (a e+b d))}{8 b^2 e}+\frac{B (a+b x)^{5/2} (d+e x)^{5/2}}{5 b e}","-\frac{3 \sqrt{a+b x} \sqrt{d+e x} (b d-a e)^3 (2 A b e-B (a e+b d))}{128 b^3 e^3}+\frac{(a+b x)^{3/2} \sqrt{d+e x} (b d-a e)^2 (2 A b e-B (a e+b d))}{64 b^3 e^2}+\frac{3 (b d-a e)^4 (2 A b e-B (a e+b d)) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{128 b^{7/2} e^{7/2}}+\frac{(a+b x)^{5/2} \sqrt{d+e x} (b d-a e) (2 A b e-B (a e+b d))}{16 b^3 e}+\frac{(a+b x)^{5/2} (d+e x)^{3/2} (2 A b e-B (a e+b d))}{8 b^2 e}+\frac{B (a+b x)^{5/2} (d+e x)^{5/2}}{5 b e}",1,"(-3*(b*d - a*e)^3*(2*A*b*e - B*(b*d + a*e))*Sqrt[a + b*x]*Sqrt[d + e*x])/(128*b^3*e^3) + ((b*d - a*e)^2*(2*A*b*e - B*(b*d + a*e))*(a + b*x)^(3/2)*Sqrt[d + e*x])/(64*b^3*e^2) + ((b*d - a*e)*(2*A*b*e - B*(b*d + a*e))*(a + b*x)^(5/2)*Sqrt[d + e*x])/(16*b^3*e) + ((2*A*b*e - B*(b*d + a*e))*(a + b*x)^(5/2)*(d + e*x)^(3/2))/(8*b^2*e) + (B*(a + b*x)^(5/2)*(d + e*x)^(5/2))/(5*b*e) + (3*(b*d - a*e)^4*(2*A*b*e - B*(b*d + a*e))*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(128*b^(7/2)*e^(7/2))","A",8,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2213,1,250,0,0.1945204,"\int (a+b x)^{3/2} (A+B x) \sqrt{d+e x} \, dx","Int[(a + b*x)^(3/2)*(A + B*x)*Sqrt[d + e*x],x]","\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e)^2 (3 a B e-8 A b e+5 b B d)}{64 b^2 e^3}-\frac{(a+b x)^{3/2} \sqrt{d+e x} (b d-a e) (3 a B e-8 A b e+5 b B d)}{96 b^2 e^2}-\frac{(b d-a e)^3 (3 a B e-8 A b e+5 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{64 b^{5/2} e^{7/2}}-\frac{(a+b x)^{5/2} \sqrt{d+e x} (3 a B e-8 A b e+5 b B d)}{24 b^2 e}+\frac{B (a+b x)^{5/2} (d+e x)^{3/2}}{4 b e}","\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e)^2 (3 a B e-8 A b e+5 b B d)}{64 b^2 e^3}-\frac{(a+b x)^{3/2} \sqrt{d+e x} (b d-a e) (3 a B e-8 A b e+5 b B d)}{96 b^2 e^2}-\frac{(b d-a e)^3 (3 a B e-8 A b e+5 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{64 b^{5/2} e^{7/2}}-\frac{(a+b x)^{5/2} \sqrt{d+e x} (3 a B e-8 A b e+5 b B d)}{24 b^2 e}+\frac{B (a+b x)^{5/2} (d+e x)^{3/2}}{4 b e}",1,"((b*d - a*e)^2*(5*b*B*d - 8*A*b*e + 3*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(64*b^2*e^3) - ((b*d - a*e)*(5*b*B*d - 8*A*b*e + 3*a*B*e)*(a + b*x)^(3/2)*Sqrt[d + e*x])/(96*b^2*e^2) - ((5*b*B*d - 8*A*b*e + 3*a*B*e)*(a + b*x)^(5/2)*Sqrt[d + e*x])/(24*b^2*e) + (B*(a + b*x)^(5/2)*(d + e*x)^(3/2))/(4*b*e) - ((b*d - a*e)^3*(5*b*B*d - 8*A*b*e + 3*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(64*b^(5/2)*e^(7/2))","A",7,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2214,1,193,0,0.1505627,"\int \frac{(a+b x)^{3/2} (A+B x)}{\sqrt{d+e x}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/Sqrt[d + e*x],x]","-\frac{(b d-a e)^2 (a B e-6 A b e+5 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{8 b^{3/2} e^{7/2}}-\frac{(a+b x)^{3/2} \sqrt{d+e x} (a B e-6 A b e+5 b B d)}{12 b e^2}+\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e) (a B e-6 A b e+5 b B d)}{8 b e^3}+\frac{B (a+b x)^{5/2} \sqrt{d+e x}}{3 b e}","-\frac{(b d-a e)^2 (a B e-6 A b e+5 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{8 b^{3/2} e^{7/2}}-\frac{(a+b x)^{3/2} \sqrt{d+e x} (a B e-6 A b e+5 b B d)}{12 b e^2}+\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e) (a B e-6 A b e+5 b B d)}{8 b e^3}+\frac{B (a+b x)^{5/2} \sqrt{d+e x}}{3 b e}",1,"((b*d - a*e)*(5*b*B*d - 6*A*b*e + a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(8*b*e^3) - ((5*b*B*d - 6*A*b*e + a*B*e)*(a + b*x)^(3/2)*Sqrt[d + e*x])/(12*b*e^2) + (B*(a + b*x)^(5/2)*Sqrt[d + e*x])/(3*b*e) - ((b*d - a*e)^2*(5*b*B*d - 6*A*b*e + a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(8*b^(3/2)*e^(7/2))","A",6,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2215,1,202,0,0.1665872,"\int \frac{(a+b x)^{3/2} (A+B x)}{(d+e x)^{3/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/(d + e*x)^(3/2),x]","\frac{(a+b x)^{3/2} \sqrt{d+e x} (-a B e-4 A b e+5 b B d)}{2 e^2 (b d-a e)}-\frac{3 \sqrt{a+b x} \sqrt{d+e x} (-a B e-4 A b e+5 b B d)}{4 e^3}+\frac{3 (b d-a e) (-a B e-4 A b e+5 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{4 \sqrt{b} e^{7/2}}-\frac{2 (a+b x)^{5/2} (B d-A e)}{e \sqrt{d+e x} (b d-a e)}","\frac{(a+b x)^{3/2} \sqrt{d+e x} (-a B e-4 A b e+5 b B d)}{2 e^2 (b d-a e)}-\frac{3 \sqrt{a+b x} \sqrt{d+e x} (-a B e-4 A b e+5 b B d)}{4 e^3}+\frac{3 (b d-a e) (-a B e-4 A b e+5 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{4 \sqrt{b} e^{7/2}}-\frac{2 (a+b x)^{5/2} (B d-A e)}{e \sqrt{d+e x} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(5/2))/(e*(b*d - a*e)*Sqrt[d + e*x]) - (3*(5*b*B*d - 4*A*b*e - a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(4*e^3) + ((5*b*B*d - 4*A*b*e - a*B*e)*(a + b*x)^(3/2)*Sqrt[d + e*x])/(2*e^2*(b*d - a*e)) + (3*(b*d - a*e)*(5*b*B*d - 4*A*b*e - a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(4*Sqrt[b]*e^(7/2))","A",6,5,24,0.2083,1,"{78, 50, 63, 217, 206}"
2216,1,202,0,0.1612609,"\int \frac{(a+b x)^{3/2} (A+B x)}{(d+e x)^{5/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/(d + e*x)^(5/2),x]","-\frac{2 (a+b x)^{3/2} (-3 a B e-2 A b e+5 b B d)}{3 e^2 \sqrt{d+e x} (b d-a e)}+\frac{b \sqrt{a+b x} \sqrt{d+e x} (-3 a B e-2 A b e+5 b B d)}{e^3 (b d-a e)}-\frac{\sqrt{b} (-3 a B e-2 A b e+5 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{e^{7/2}}-\frac{2 (a+b x)^{5/2} (B d-A e)}{3 e (d+e x)^{3/2} (b d-a e)}","-\frac{2 (a+b x)^{3/2} (-3 a B e-2 A b e+5 b B d)}{3 e^2 \sqrt{d+e x} (b d-a e)}+\frac{b \sqrt{a+b x} \sqrt{d+e x} (-3 a B e-2 A b e+5 b B d)}{e^3 (b d-a e)}-\frac{\sqrt{b} (-3 a B e-2 A b e+5 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{e^{7/2}}-\frac{2 (a+b x)^{5/2} (B d-A e)}{3 e (d+e x)^{3/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(5/2))/(3*e*(b*d - a*e)*(d + e*x)^(3/2)) - (2*(5*b*B*d - 2*A*b*e - 3*a*B*e)*(a + b*x)^(3/2))/(3*e^2*(b*d - a*e)*Sqrt[d + e*x]) + (b*(5*b*B*d - 2*A*b*e - 3*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(e^3*(b*d - a*e)) - (Sqrt[b]*(5*b*B*d - 2*A*b*e - 3*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/e^(7/2)","A",6,6,24,0.2500,1,"{78, 47, 50, 63, 217, 206}"
2217,1,138,0,0.0765241,"\int \frac{(a+b x)^{3/2} (A+B x)}{(d+e x)^{7/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/(d + e*x)^(7/2),x]","-\frac{2 (a+b x)^{5/2} (B d-A e)}{5 e (d+e x)^{5/2} (b d-a e)}+\frac{2 b^{3/2} B \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{e^{7/2}}-\frac{2 B (a+b x)^{3/2}}{3 e^2 (d+e x)^{3/2}}-\frac{2 b B \sqrt{a+b x}}{e^3 \sqrt{d+e x}}","-\frac{2 (a+b x)^{5/2} (B d-A e)}{5 e (d+e x)^{5/2} (b d-a e)}+\frac{2 b^{3/2} B \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{e^{7/2}}-\frac{2 B (a+b x)^{3/2}}{3 e^2 (d+e x)^{3/2}}-\frac{2 b B \sqrt{a+b x}}{e^3 \sqrt{d+e x}}",1,"(-2*(B*d - A*e)*(a + b*x)^(5/2))/(5*e*(b*d - a*e)*(d + e*x)^(5/2)) - (2*B*(a + b*x)^(3/2))/(3*e^2*(d + e*x)^(3/2)) - (2*b*B*Sqrt[a + b*x])/(e^3*Sqrt[d + e*x]) + (2*b^(3/2)*B*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/e^(7/2)","A",6,5,24,0.2083,1,"{78, 47, 63, 217, 206}"
2218,1,95,0,0.051143,"\int \frac{(a+b x)^{3/2} (A+B x)}{(d+e x)^{9/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/(d + e*x)^(9/2),x]","\frac{2 (a+b x)^{5/2} (-7 a B e+2 A b e+5 b B d)}{35 e (d+e x)^{5/2} (b d-a e)^2}-\frac{2 (a+b x)^{5/2} (B d-A e)}{7 e (d+e x)^{7/2} (b d-a e)}","\frac{2 (a+b x)^{5/2} (-7 a B e+2 A b e+5 b B d)}{35 e (d+e x)^{5/2} (b d-a e)^2}-\frac{2 (a+b x)^{5/2} (B d-A e)}{7 e (d+e x)^{7/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(5/2))/(7*e*(b*d - a*e)*(d + e*x)^(7/2)) + (2*(5*b*B*d + 2*A*b*e - 7*a*B*e)*(a + b*x)^(5/2))/(35*e*(b*d - a*e)^2*(d + e*x)^(5/2))","A",2,2,24,0.08333,1,"{78, 37}"
2219,1,147,0,0.0857733,"\int \frac{(a+b x)^{3/2} (A+B x)}{(d+e x)^{11/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/(d + e*x)^(11/2),x]","\frac{4 b (a+b x)^{5/2} (-9 a B e+4 A b e+5 b B d)}{315 e (d+e x)^{5/2} (b d-a e)^3}+\frac{2 (a+b x)^{5/2} (-9 a B e+4 A b e+5 b B d)}{63 e (d+e x)^{7/2} (b d-a e)^2}-\frac{2 (a+b x)^{5/2} (B d-A e)}{9 e (d+e x)^{9/2} (b d-a e)}","\frac{4 b (a+b x)^{5/2} (-9 a B e+4 A b e+5 b B d)}{315 e (d+e x)^{5/2} (b d-a e)^3}+\frac{2 (a+b x)^{5/2} (-9 a B e+4 A b e+5 b B d)}{63 e (d+e x)^{7/2} (b d-a e)^2}-\frac{2 (a+b x)^{5/2} (B d-A e)}{9 e (d+e x)^{9/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(5/2))/(9*e*(b*d - a*e)*(d + e*x)^(9/2)) + (2*(5*b*B*d + 4*A*b*e - 9*a*B*e)*(a + b*x)^(5/2))/(63*e*(b*d - a*e)^2*(d + e*x)^(7/2)) + (4*b*(5*b*B*d + 4*A*b*e - 9*a*B*e)*(a + b*x)^(5/2))/(315*e*(b*d - a*e)^3*(d + e*x)^(5/2))","A",3,3,24,0.1250,1,"{78, 45, 37}"
2220,1,201,0,0.1223306,"\int \frac{(a+b x)^{3/2} (A+B x)}{(d+e x)^{13/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/(d + e*x)^(13/2),x]","\frac{16 b^2 (a+b x)^{5/2} (-11 a B e+6 A b e+5 b B d)}{3465 e (d+e x)^{5/2} (b d-a e)^4}+\frac{8 b (a+b x)^{5/2} (-11 a B e+6 A b e+5 b B d)}{693 e (d+e x)^{7/2} (b d-a e)^3}+\frac{2 (a+b x)^{5/2} (-11 a B e+6 A b e+5 b B d)}{99 e (d+e x)^{9/2} (b d-a e)^2}-\frac{2 (a+b x)^{5/2} (B d-A e)}{11 e (d+e x)^{11/2} (b d-a e)}","\frac{16 b^2 (a+b x)^{5/2} (-11 a B e+6 A b e+5 b B d)}{3465 e (d+e x)^{5/2} (b d-a e)^4}+\frac{8 b (a+b x)^{5/2} (-11 a B e+6 A b e+5 b B d)}{693 e (d+e x)^{7/2} (b d-a e)^3}+\frac{2 (a+b x)^{5/2} (-11 a B e+6 A b e+5 b B d)}{99 e (d+e x)^{9/2} (b d-a e)^2}-\frac{2 (a+b x)^{5/2} (B d-A e)}{11 e (d+e x)^{11/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(5/2))/(11*e*(b*d - a*e)*(d + e*x)^(11/2)) + (2*(5*b*B*d + 6*A*b*e - 11*a*B*e)*(a + b*x)^(5/2))/(99*e*(b*d - a*e)^2*(d + e*x)^(9/2)) + (8*b*(5*b*B*d + 6*A*b*e - 11*a*B*e)*(a + b*x)^(5/2))/(693*e*(b*d - a*e)^3*(d + e*x)^(7/2)) + (16*b^2*(5*b*B*d + 6*A*b*e - 11*a*B*e)*(a + b*x)^(5/2))/(3465*e*(b*d - a*e)^4*(d + e*x)^(5/2))","A",4,3,24,0.1250,1,"{78, 45, 37}"
2221,1,255,0,0.1638844,"\int \frac{(a+b x)^{3/2} (A+B x)}{(d+e x)^{15/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/(d + e*x)^(15/2),x]","\frac{32 b^3 (a+b x)^{5/2} (-13 a B e+8 A b e+5 b B d)}{15015 e (d+e x)^{5/2} (b d-a e)^5}+\frac{16 b^2 (a+b x)^{5/2} (-13 a B e+8 A b e+5 b B d)}{3003 e (d+e x)^{7/2} (b d-a e)^4}+\frac{4 b (a+b x)^{5/2} (-13 a B e+8 A b e+5 b B d)}{429 e (d+e x)^{9/2} (b d-a e)^3}+\frac{2 (a+b x)^{5/2} (-13 a B e+8 A b e+5 b B d)}{143 e (d+e x)^{11/2} (b d-a e)^2}-\frac{2 (a+b x)^{5/2} (B d-A e)}{13 e (d+e x)^{13/2} (b d-a e)}","\frac{32 b^3 (a+b x)^{5/2} (-13 a B e+8 A b e+5 b B d)}{15015 e (d+e x)^{5/2} (b d-a e)^5}+\frac{16 b^2 (a+b x)^{5/2} (-13 a B e+8 A b e+5 b B d)}{3003 e (d+e x)^{7/2} (b d-a e)^4}+\frac{4 b (a+b x)^{5/2} (-13 a B e+8 A b e+5 b B d)}{429 e (d+e x)^{9/2} (b d-a e)^3}+\frac{2 (a+b x)^{5/2} (-13 a B e+8 A b e+5 b B d)}{143 e (d+e x)^{11/2} (b d-a e)^2}-\frac{2 (a+b x)^{5/2} (B d-A e)}{13 e (d+e x)^{13/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(5/2))/(13*e*(b*d - a*e)*(d + e*x)^(13/2)) + (2*(5*b*B*d + 8*A*b*e - 13*a*B*e)*(a + b*x)^(5/2))/(143*e*(b*d - a*e)^2*(d + e*x)^(11/2)) + (4*b*(5*b*B*d + 8*A*b*e - 13*a*B*e)*(a + b*x)^(5/2))/(429*e*(b*d - a*e)^3*(d + e*x)^(9/2)) + (16*b^2*(5*b*B*d + 8*A*b*e - 13*a*B*e)*(a + b*x)^(5/2))/(3003*e*(b*d - a*e)^4*(d + e*x)^(7/2)) + (32*b^3*(5*b*B*d + 8*A*b*e - 13*a*B*e)*(a + b*x)^(5/2))/(15015*e*(b*d - a*e)^5*(d + e*x)^(5/2))","A",5,3,24,0.1250,1,"{78, 45, 37}"
2222,1,304,0,0.1866847,"\int \frac{(a+b x)^{3/2} (A+B x)}{(d+e x)^{17/2}} \, dx","Int[((a + b*x)^(3/2)*(A + B*x))/(d + e*x)^(17/2),x]","\frac{256 b^4 (a+b x)^{5/2} (-3 a B e+2 A b e+b B d)}{45045 e (d+e x)^{5/2} (b d-a e)^6}+\frac{128 b^3 (a+b x)^{5/2} (-3 a B e+2 A b e+b B d)}{9009 e (d+e x)^{7/2} (b d-a e)^5}+\frac{32 b^2 (a+b x)^{5/2} (-3 a B e+2 A b e+b B d)}{1287 e (d+e x)^{9/2} (b d-a e)^4}+\frac{16 b (a+b x)^{5/2} (-3 a B e+2 A b e+b B d)}{429 e (d+e x)^{11/2} (b d-a e)^3}+\frac{2 (a+b x)^{5/2} (-3 a B e+2 A b e+b B d)}{39 e (d+e x)^{13/2} (b d-a e)^2}-\frac{2 (a+b x)^{5/2} (B d-A e)}{15 e (d+e x)^{15/2} (b d-a e)}","\frac{256 b^4 (a+b x)^{5/2} (-3 a B e+2 A b e+b B d)}{45045 e (d+e x)^{5/2} (b d-a e)^6}+\frac{128 b^3 (a+b x)^{5/2} (-3 a B e+2 A b e+b B d)}{9009 e (d+e x)^{7/2} (b d-a e)^5}+\frac{32 b^2 (a+b x)^{5/2} (-3 a B e+2 A b e+b B d)}{1287 e (d+e x)^{9/2} (b d-a e)^4}+\frac{16 b (a+b x)^{5/2} (-3 a B e+2 A b e+b B d)}{429 e (d+e x)^{11/2} (b d-a e)^3}+\frac{2 (a+b x)^{5/2} (-3 a B e+2 A b e+b B d)}{39 e (d+e x)^{13/2} (b d-a e)^2}-\frac{2 (a+b x)^{5/2} (B d-A e)}{15 e (d+e x)^{15/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(5/2))/(15*e*(b*d - a*e)*(d + e*x)^(15/2)) + (2*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^(5/2))/(39*e*(b*d - a*e)^2*(d + e*x)^(13/2)) + (16*b*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^(5/2))/(429*e*(b*d - a*e)^3*(d + e*x)^(11/2)) + (32*b^2*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^(5/2))/(1287*e*(b*d - a*e)^4*(d + e*x)^(9/2)) + (128*b^3*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^(5/2))/(9009*e*(b*d - a*e)^5*(d + e*x)^(7/2)) + (256*b^4*(b*B*d + 2*A*b*e - 3*a*B*e)*(a + b*x)^(5/2))/(45045*e*(b*d - a*e)^6*(d + e*x)^(5/2))","A",6,3,24,0.1250,1,"{78, 45, 37}"
2223,1,412,0,0.3834099,"\int (a+b x)^{5/2} (A+B x) (d+e x)^{5/2} \, dx","Int[(a + b*x)^(5/2)*(A + B*x)*(d + e*x)^(5/2),x]","\frac{5 \sqrt{a+b x} \sqrt{d+e x} (b d-a e)^5 (2 A b e-B (a e+b d))}{1024 b^4 e^4}-\frac{5 (a+b x)^{3/2} \sqrt{d+e x} (b d-a e)^4 (2 A b e-B (a e+b d))}{1536 b^4 e^3}+\frac{(a+b x)^{5/2} \sqrt{d+e x} (b d-a e)^3 (2 A b e-B (a e+b d))}{384 b^4 e^2}-\frac{5 (b d-a e)^6 (2 A b e-B (a e+b d)) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{1024 b^{9/2} e^{9/2}}+\frac{(a+b x)^{7/2} \sqrt{d+e x} (b d-a e)^2 (2 A b e-B (a e+b d))}{64 b^4 e}+\frac{(a+b x)^{7/2} (d+e x)^{3/2} (b d-a e) (2 A b e-B (a e+b d))}{24 b^3 e}+\frac{(a+b x)^{7/2} (d+e x)^{5/2} (2 A b e-B (a e+b d))}{12 b^2 e}+\frac{B (a+b x)^{7/2} (d+e x)^{7/2}}{7 b e}","\frac{5 \sqrt{a+b x} \sqrt{d+e x} (b d-a e)^5 (2 A b e-B (a e+b d))}{1024 b^4 e^4}-\frac{5 (a+b x)^{3/2} \sqrt{d+e x} (b d-a e)^4 (2 A b e-B (a e+b d))}{1536 b^4 e^3}+\frac{(a+b x)^{5/2} \sqrt{d+e x} (b d-a e)^3 (2 A b e-B (a e+b d))}{384 b^4 e^2}-\frac{5 (b d-a e)^6 (2 A b e-B (a e+b d)) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{1024 b^{9/2} e^{9/2}}+\frac{(a+b x)^{7/2} \sqrt{d+e x} (b d-a e)^2 (2 A b e-B (a e+b d))}{64 b^4 e}+\frac{(a+b x)^{7/2} (d+e x)^{3/2} (b d-a e) (2 A b e-B (a e+b d))}{24 b^3 e}+\frac{(a+b x)^{7/2} (d+e x)^{5/2} (2 A b e-B (a e+b d))}{12 b^2 e}+\frac{B (a+b x)^{7/2} (d+e x)^{7/2}}{7 b e}",1,"(5*(b*d - a*e)^5*(2*A*b*e - B*(b*d + a*e))*Sqrt[a + b*x]*Sqrt[d + e*x])/(1024*b^4*e^4) - (5*(b*d - a*e)^4*(2*A*b*e - B*(b*d + a*e))*(a + b*x)^(3/2)*Sqrt[d + e*x])/(1536*b^4*e^3) + ((b*d - a*e)^3*(2*A*b*e - B*(b*d + a*e))*(a + b*x)^(5/2)*Sqrt[d + e*x])/(384*b^4*e^2) + ((b*d - a*e)^2*(2*A*b*e - B*(b*d + a*e))*(a + b*x)^(7/2)*Sqrt[d + e*x])/(64*b^4*e) + ((b*d - a*e)*(2*A*b*e - B*(b*d + a*e))*(a + b*x)^(7/2)*(d + e*x)^(3/2))/(24*b^3*e) + ((2*A*b*e - B*(b*d + a*e))*(a + b*x)^(7/2)*(d + e*x)^(5/2))/(12*b^2*e) + (B*(a + b*x)^(7/2)*(d + e*x)^(7/2))/(7*b*e) - (5*(b*d - a*e)^6*(2*A*b*e - B*(b*d + a*e))*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(1024*b^(9/2)*e^(9/2))","A",10,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2224,1,358,0,0.2952754,"\int (a+b x)^{5/2} (A+B x) (d+e x)^{3/2} \, dx","Int[(a + b*x)^(5/2)*(A + B*x)*(d + e*x)^(3/2),x]","-\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e)^4 (5 a B e-12 A b e+7 b B d)}{512 b^3 e^4}+\frac{(a+b x)^{3/2} \sqrt{d+e x} (b d-a e)^3 (5 a B e-12 A b e+7 b B d)}{768 b^3 e^3}-\frac{(a+b x)^{5/2} \sqrt{d+e x} (b d-a e)^2 (5 a B e-12 A b e+7 b B d)}{960 b^3 e^2}+\frac{(b d-a e)^5 (5 a B e-12 A b e+7 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{512 b^{7/2} e^{9/2}}-\frac{(a+b x)^{7/2} \sqrt{d+e x} (b d-a e) (5 a B e-12 A b e+7 b B d)}{160 b^3 e}-\frac{(a+b x)^{7/2} (d+e x)^{3/2} (5 a B e-12 A b e+7 b B d)}{60 b^2 e}+\frac{B (a+b x)^{7/2} (d+e x)^{5/2}}{6 b e}","-\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e)^4 (5 a B e-12 A b e+7 b B d)}{512 b^3 e^4}+\frac{(a+b x)^{3/2} \sqrt{d+e x} (b d-a e)^3 (5 a B e-12 A b e+7 b B d)}{768 b^3 e^3}-\frac{(a+b x)^{5/2} \sqrt{d+e x} (b d-a e)^2 (5 a B e-12 A b e+7 b B d)}{960 b^3 e^2}+\frac{(b d-a e)^5 (5 a B e-12 A b e+7 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{512 b^{7/2} e^{9/2}}-\frac{(a+b x)^{7/2} \sqrt{d+e x} (b d-a e) (5 a B e-12 A b e+7 b B d)}{160 b^3 e}-\frac{(a+b x)^{7/2} (d+e x)^{3/2} (5 a B e-12 A b e+7 b B d)}{60 b^2 e}+\frac{B (a+b x)^{7/2} (d+e x)^{5/2}}{6 b e}",1,"-((b*d - a*e)^4*(7*b*B*d - 12*A*b*e + 5*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(512*b^3*e^4) + ((b*d - a*e)^3*(7*b*B*d - 12*A*b*e + 5*a*B*e)*(a + b*x)^(3/2)*Sqrt[d + e*x])/(768*b^3*e^3) - ((b*d - a*e)^2*(7*b*B*d - 12*A*b*e + 5*a*B*e)*(a + b*x)^(5/2)*Sqrt[d + e*x])/(960*b^3*e^2) - ((b*d - a*e)*(7*b*B*d - 12*A*b*e + 5*a*B*e)*(a + b*x)^(7/2)*Sqrt[d + e*x])/(160*b^3*e) - ((7*b*B*d - 12*A*b*e + 5*a*B*e)*(a + b*x)^(7/2)*(d + e*x)^(3/2))/(60*b^2*e) + (B*(a + b*x)^(7/2)*(d + e*x)^(5/2))/(6*b*e) + ((b*d - a*e)^5*(7*b*B*d - 12*A*b*e + 5*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(512*b^(7/2)*e^(9/2))","A",9,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2225,1,304,0,0.2403168,"\int (a+b x)^{5/2} (A+B x) \sqrt{d+e x} \, dx","Int[(a + b*x)^(5/2)*(A + B*x)*Sqrt[d + e*x],x]","-\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e)^3 (3 a B e-10 A b e+7 b B d)}{128 b^2 e^4}+\frac{(a+b x)^{3/2} \sqrt{d+e x} (b d-a e)^2 (3 a B e-10 A b e+7 b B d)}{192 b^2 e^3}-\frac{(a+b x)^{5/2} \sqrt{d+e x} (b d-a e) (3 a B e-10 A b e+7 b B d)}{240 b^2 e^2}+\frac{(b d-a e)^4 (3 a B e-10 A b e+7 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{128 b^{5/2} e^{9/2}}-\frac{(a+b x)^{7/2} \sqrt{d+e x} (3 a B e-10 A b e+7 b B d)}{40 b^2 e}+\frac{B (a+b x)^{7/2} (d+e x)^{3/2}}{5 b e}","-\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e)^3 (3 a B e-10 A b e+7 b B d)}{128 b^2 e^4}+\frac{(a+b x)^{3/2} \sqrt{d+e x} (b d-a e)^2 (3 a B e-10 A b e+7 b B d)}{192 b^2 e^3}-\frac{(a+b x)^{5/2} \sqrt{d+e x} (b d-a e) (3 a B e-10 A b e+7 b B d)}{240 b^2 e^2}+\frac{(b d-a e)^4 (3 a B e-10 A b e+7 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{128 b^{5/2} e^{9/2}}-\frac{(a+b x)^{7/2} \sqrt{d+e x} (3 a B e-10 A b e+7 b B d)}{40 b^2 e}+\frac{B (a+b x)^{7/2} (d+e x)^{3/2}}{5 b e}",1,"-((b*d - a*e)^3*(7*b*B*d - 10*A*b*e + 3*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(128*b^2*e^4) + ((b*d - a*e)^2*(7*b*B*d - 10*A*b*e + 3*a*B*e)*(a + b*x)^(3/2)*Sqrt[d + e*x])/(192*b^2*e^3) - ((b*d - a*e)*(7*b*B*d - 10*A*b*e + 3*a*B*e)*(a + b*x)^(5/2)*Sqrt[d + e*x])/(240*b^2*e^2) - ((7*b*B*d - 10*A*b*e + 3*a*B*e)*(a + b*x)^(7/2)*Sqrt[d + e*x])/(40*b^2*e) + (B*(a + b*x)^(7/2)*(d + e*x)^(3/2))/(5*b*e) + ((b*d - a*e)^4*(7*b*B*d - 10*A*b*e + 3*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(128*b^(5/2)*e^(9/2))","A",8,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2226,1,246,0,0.2043483,"\int \frac{(a+b x)^{5/2} (A+B x)}{\sqrt{d+e x}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/Sqrt[d + e*x],x]","\frac{5 (b d-a e)^3 (a B e-8 A b e+7 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{64 b^{3/2} e^{9/2}}-\frac{(a+b x)^{5/2} \sqrt{d+e x} (a B e-8 A b e+7 b B d)}{24 b e^2}+\frac{5 (a+b x)^{3/2} \sqrt{d+e x} (b d-a e) (a B e-8 A b e+7 b B d)}{96 b e^3}-\frac{5 \sqrt{a+b x} \sqrt{d+e x} (b d-a e)^2 (a B e-8 A b e+7 b B d)}{64 b e^4}+\frac{B (a+b x)^{7/2} \sqrt{d+e x}}{4 b e}","\frac{5 (b d-a e)^3 (a B e-8 A b e+7 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{64 b^{3/2} e^{9/2}}-\frac{(a+b x)^{5/2} \sqrt{d+e x} (a B e-8 A b e+7 b B d)}{24 b e^2}+\frac{5 (a+b x)^{3/2} \sqrt{d+e x} (b d-a e) (a B e-8 A b e+7 b B d)}{96 b e^3}-\frac{5 \sqrt{a+b x} \sqrt{d+e x} (b d-a e)^2 (a B e-8 A b e+7 b B d)}{64 b e^4}+\frac{B (a+b x)^{7/2} \sqrt{d+e x}}{4 b e}",1,"(-5*(b*d - a*e)^2*(7*b*B*d - 8*A*b*e + a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(64*b*e^4) + (5*(b*d - a*e)*(7*b*B*d - 8*A*b*e + a*B*e)*(a + b*x)^(3/2)*Sqrt[d + e*x])/(96*b*e^3) - ((7*b*B*d - 8*A*b*e + a*B*e)*(a + b*x)^(5/2)*Sqrt[d + e*x])/(24*b*e^2) + (B*(a + b*x)^(7/2)*Sqrt[d + e*x])/(4*b*e) + (5*(b*d - a*e)^3*(7*b*B*d - 8*A*b*e + a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(64*b^(3/2)*e^(9/2))","A",7,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2227,1,253,0,0.2105329,"\int \frac{(a+b x)^{5/2} (A+B x)}{(d+e x)^{3/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/(d + e*x)^(3/2),x]","\frac{(a+b x)^{5/2} \sqrt{d+e x} (-a B e-6 A b e+7 b B d)}{3 e^2 (b d-a e)}-\frac{5 (a+b x)^{3/2} \sqrt{d+e x} (-a B e-6 A b e+7 b B d)}{12 e^3}+\frac{5 \sqrt{a+b x} \sqrt{d+e x} (b d-a e) (-a B e-6 A b e+7 b B d)}{8 e^4}-\frac{5 (b d-a e)^2 (-a B e-6 A b e+7 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{8 \sqrt{b} e^{9/2}}-\frac{2 (a+b x)^{7/2} (B d-A e)}{e \sqrt{d+e x} (b d-a e)}","\frac{(a+b x)^{5/2} \sqrt{d+e x} (-a B e-6 A b e+7 b B d)}{3 e^2 (b d-a e)}-\frac{5 (a+b x)^{3/2} \sqrt{d+e x} (-a B e-6 A b e+7 b B d)}{12 e^3}+\frac{5 \sqrt{a+b x} \sqrt{d+e x} (b d-a e) (-a B e-6 A b e+7 b B d)}{8 e^4}-\frac{5 (b d-a e)^2 (-a B e-6 A b e+7 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{8 \sqrt{b} e^{9/2}}-\frac{2 (a+b x)^{7/2} (B d-A e)}{e \sqrt{d+e x} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(7/2))/(e*(b*d - a*e)*Sqrt[d + e*x]) + (5*(b*d - a*e)*(7*b*B*d - 6*A*b*e - a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(8*e^4) - (5*(7*b*B*d - 6*A*b*e - a*B*e)*(a + b*x)^(3/2)*Sqrt[d + e*x])/(12*e^3) + ((7*b*B*d - 6*A*b*e - a*B*e)*(a + b*x)^(5/2)*Sqrt[d + e*x])/(3*e^2*(b*d - a*e)) - (5*(b*d - a*e)^2*(7*b*B*d - 6*A*b*e - a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(8*Sqrt[b]*e^(9/2))","A",7,5,24,0.2083,1,"{78, 50, 63, 217, 206}"
2228,1,257,0,0.2043773,"\int \frac{(a+b x)^{5/2} (A+B x)}{(d+e x)^{5/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/(d + e*x)^(5/2),x]","-\frac{2 (a+b x)^{5/2} (-3 a B e-4 A b e+7 b B d)}{3 e^2 \sqrt{d+e x} (b d-a e)}+\frac{5 b (a+b x)^{3/2} \sqrt{d+e x} (-3 a B e-4 A b e+7 b B d)}{6 e^3 (b d-a e)}-\frac{5 b \sqrt{a+b x} \sqrt{d+e x} (-3 a B e-4 A b e+7 b B d)}{4 e^4}+\frac{5 \sqrt{b} (b d-a e) (-3 a B e-4 A b e+7 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{4 e^{9/2}}-\frac{2 (a+b x)^{7/2} (B d-A e)}{3 e (d+e x)^{3/2} (b d-a e)}","-\frac{2 (a+b x)^{5/2} (-3 a B e-4 A b e+7 b B d)}{3 e^2 \sqrt{d+e x} (b d-a e)}+\frac{5 b (a+b x)^{3/2} \sqrt{d+e x} (-3 a B e-4 A b e+7 b B d)}{6 e^3 (b d-a e)}-\frac{5 b \sqrt{a+b x} \sqrt{d+e x} (-3 a B e-4 A b e+7 b B d)}{4 e^4}+\frac{5 \sqrt{b} (b d-a e) (-3 a B e-4 A b e+7 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{4 e^{9/2}}-\frac{2 (a+b x)^{7/2} (B d-A e)}{3 e (d+e x)^{3/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(7/2))/(3*e*(b*d - a*e)*(d + e*x)^(3/2)) - (2*(7*b*B*d - 4*A*b*e - 3*a*B*e)*(a + b*x)^(5/2))/(3*e^2*(b*d - a*e)*Sqrt[d + e*x]) - (5*b*(7*b*B*d - 4*A*b*e - 3*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(4*e^4) + (5*b*(7*b*B*d - 4*A*b*e - 3*a*B*e)*(a + b*x)^(3/2)*Sqrt[d + e*x])/(6*e^3*(b*d - a*e)) + (5*Sqrt[b]*(b*d - a*e)*(7*b*B*d - 4*A*b*e - 3*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(4*e^(9/2))","A",7,6,24,0.2500,1,"{78, 47, 50, 63, 217, 206}"
2229,1,256,0,0.1952756,"\int \frac{(a+b x)^{5/2} (A+B x)}{(d+e x)^{7/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/(d + e*x)^(7/2),x]","\frac{b^2 \sqrt{a+b x} \sqrt{d+e x} (-5 a B e-2 A b e+7 b B d)}{e^4 (b d-a e)}-\frac{b^{3/2} (-5 a B e-2 A b e+7 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{e^{9/2}}-\frac{2 (a+b x)^{5/2} (-5 a B e-2 A b e+7 b B d)}{15 e^2 (d+e x)^{3/2} (b d-a e)}-\frac{2 b (a+b x)^{3/2} (-5 a B e-2 A b e+7 b B d)}{3 e^3 \sqrt{d+e x} (b d-a e)}-\frac{2 (a+b x)^{7/2} (B d-A e)}{5 e (d+e x)^{5/2} (b d-a e)}","\frac{b^2 \sqrt{a+b x} \sqrt{d+e x} (-5 a B e-2 A b e+7 b B d)}{e^4 (b d-a e)}-\frac{b^{3/2} (-5 a B e-2 A b e+7 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{e^{9/2}}-\frac{2 (a+b x)^{5/2} (-5 a B e-2 A b e+7 b B d)}{15 e^2 (d+e x)^{3/2} (b d-a e)}-\frac{2 b (a+b x)^{3/2} (-5 a B e-2 A b e+7 b B d)}{3 e^3 \sqrt{d+e x} (b d-a e)}-\frac{2 (a+b x)^{7/2} (B d-A e)}{5 e (d+e x)^{5/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(7/2))/(5*e*(b*d - a*e)*(d + e*x)^(5/2)) - (2*(7*b*B*d - 2*A*b*e - 5*a*B*e)*(a + b*x)^(5/2))/(15*e^2*(b*d - a*e)*(d + e*x)^(3/2)) - (2*b*(7*b*B*d - 2*A*b*e - 5*a*B*e)*(a + b*x)^(3/2))/(3*e^3*(b*d - a*e)*Sqrt[d + e*x]) + (b^2*(7*b*B*d - 2*A*b*e - 5*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(e^4*(b*d - a*e)) - (b^(3/2)*(7*b*B*d - 2*A*b*e - 5*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/e^(9/2)","A",7,6,24,0.2500,1,"{78, 47, 50, 63, 217, 206}"
2230,1,167,0,0.0963402,"\int \frac{(a+b x)^{5/2} (A+B x)}{(d+e x)^{9/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/(d + e*x)^(9/2),x]","-\frac{2 (a+b x)^{7/2} (B d-A e)}{7 e (d+e x)^{7/2} (b d-a e)}-\frac{2 b^2 B \sqrt{a+b x}}{e^4 \sqrt{d+e x}}+\frac{2 b^{5/2} B \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{e^{9/2}}-\frac{2 B (a+b x)^{5/2}}{5 e^2 (d+e x)^{5/2}}-\frac{2 b B (a+b x)^{3/2}}{3 e^3 (d+e x)^{3/2}}","-\frac{2 (a+b x)^{7/2} (B d-A e)}{7 e (d+e x)^{7/2} (b d-a e)}-\frac{2 b^2 B \sqrt{a+b x}}{e^4 \sqrt{d+e x}}+\frac{2 b^{5/2} B \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{e^{9/2}}-\frac{2 B (a+b x)^{5/2}}{5 e^2 (d+e x)^{5/2}}-\frac{2 b B (a+b x)^{3/2}}{3 e^3 (d+e x)^{3/2}}",1,"(-2*(B*d - A*e)*(a + b*x)^(7/2))/(7*e*(b*d - a*e)*(d + e*x)^(7/2)) - (2*B*(a + b*x)^(5/2))/(5*e^2*(d + e*x)^(5/2)) - (2*b*B*(a + b*x)^(3/2))/(3*e^3*(d + e*x)^(3/2)) - (2*b^2*B*Sqrt[a + b*x])/(e^4*Sqrt[d + e*x]) + (2*b^(5/2)*B*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/e^(9/2)","A",7,5,24,0.2083,1,"{78, 47, 63, 217, 206}"
2231,1,95,0,0.0497504,"\int \frac{(a+b x)^{5/2} (A+B x)}{(d+e x)^{11/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/(d + e*x)^(11/2),x]","\frac{2 (a+b x)^{7/2} (-9 a B e+2 A b e+7 b B d)}{63 e (d+e x)^{7/2} (b d-a e)^2}-\frac{2 (a+b x)^{7/2} (B d-A e)}{9 e (d+e x)^{9/2} (b d-a e)}","\frac{2 (a+b x)^{7/2} (-9 a B e+2 A b e+7 b B d)}{63 e (d+e x)^{7/2} (b d-a e)^2}-\frac{2 (a+b x)^{7/2} (B d-A e)}{9 e (d+e x)^{9/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(7/2))/(9*e*(b*d - a*e)*(d + e*x)^(9/2)) + (2*(7*b*B*d + 2*A*b*e - 9*a*B*e)*(a + b*x)^(7/2))/(63*e*(b*d - a*e)^2*(d + e*x)^(7/2))","A",2,2,24,0.08333,1,"{78, 37}"
2232,1,147,0,0.0897558,"\int \frac{(a+b x)^{5/2} (A+B x)}{(d+e x)^{13/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/(d + e*x)^(13/2),x]","\frac{4 b (a+b x)^{7/2} (-11 a B e+4 A b e+7 b B d)}{693 e (d+e x)^{7/2} (b d-a e)^3}+\frac{2 (a+b x)^{7/2} (-11 a B e+4 A b e+7 b B d)}{99 e (d+e x)^{9/2} (b d-a e)^2}-\frac{2 (a+b x)^{7/2} (B d-A e)}{11 e (d+e x)^{11/2} (b d-a e)}","\frac{4 b (a+b x)^{7/2} (-11 a B e+4 A b e+7 b B d)}{693 e (d+e x)^{7/2} (b d-a e)^3}+\frac{2 (a+b x)^{7/2} (-11 a B e+4 A b e+7 b B d)}{99 e (d+e x)^{9/2} (b d-a e)^2}-\frac{2 (a+b x)^{7/2} (B d-A e)}{11 e (d+e x)^{11/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(7/2))/(11*e*(b*d - a*e)*(d + e*x)^(11/2)) + (2*(7*b*B*d + 4*A*b*e - 11*a*B*e)*(a + b*x)^(7/2))/(99*e*(b*d - a*e)^2*(d + e*x)^(9/2)) + (4*b*(7*b*B*d + 4*A*b*e - 11*a*B*e)*(a + b*x)^(7/2))/(693*e*(b*d - a*e)^3*(d + e*x)^(7/2))","A",3,3,24,0.1250,1,"{78, 45, 37}"
2233,1,201,0,0.1250899,"\int \frac{(a+b x)^{5/2} (A+B x)}{(d+e x)^{15/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/(d + e*x)^(15/2),x]","\frac{16 b^2 (a+b x)^{7/2} (-13 a B e+6 A b e+7 b B d)}{9009 e (d+e x)^{7/2} (b d-a e)^4}+\frac{8 b (a+b x)^{7/2} (-13 a B e+6 A b e+7 b B d)}{1287 e (d+e x)^{9/2} (b d-a e)^3}+\frac{2 (a+b x)^{7/2} (-13 a B e+6 A b e+7 b B d)}{143 e (d+e x)^{11/2} (b d-a e)^2}-\frac{2 (a+b x)^{7/2} (B d-A e)}{13 e (d+e x)^{13/2} (b d-a e)}","\frac{16 b^2 (a+b x)^{7/2} (-13 a B e+6 A b e+7 b B d)}{9009 e (d+e x)^{7/2} (b d-a e)^4}+\frac{8 b (a+b x)^{7/2} (-13 a B e+6 A b e+7 b B d)}{1287 e (d+e x)^{9/2} (b d-a e)^3}+\frac{2 (a+b x)^{7/2} (-13 a B e+6 A b e+7 b B d)}{143 e (d+e x)^{11/2} (b d-a e)^2}-\frac{2 (a+b x)^{7/2} (B d-A e)}{13 e (d+e x)^{13/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(7/2))/(13*e*(b*d - a*e)*(d + e*x)^(13/2)) + (2*(7*b*B*d + 6*A*b*e - 13*a*B*e)*(a + b*x)^(7/2))/(143*e*(b*d - a*e)^2*(d + e*x)^(11/2)) + (8*b*(7*b*B*d + 6*A*b*e - 13*a*B*e)*(a + b*x)^(7/2))/(1287*e*(b*d - a*e)^3*(d + e*x)^(9/2)) + (16*b^2*(7*b*B*d + 6*A*b*e - 13*a*B*e)*(a + b*x)^(7/2))/(9009*e*(b*d - a*e)^4*(d + e*x)^(7/2))","A",4,3,24,0.1250,1,"{78, 45, 37}"
2234,1,255,0,0.1635078,"\int \frac{(a+b x)^{5/2} (A+B x)}{(d+e x)^{17/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/(d + e*x)^(17/2),x]","\frac{32 b^3 (a+b x)^{7/2} (-15 a B e+8 A b e+7 b B d)}{45045 e (d+e x)^{7/2} (b d-a e)^5}+\frac{16 b^2 (a+b x)^{7/2} (-15 a B e+8 A b e+7 b B d)}{6435 e (d+e x)^{9/2} (b d-a e)^4}+\frac{4 b (a+b x)^{7/2} (-15 a B e+8 A b e+7 b B d)}{715 e (d+e x)^{11/2} (b d-a e)^3}+\frac{2 (a+b x)^{7/2} (-15 a B e+8 A b e+7 b B d)}{195 e (d+e x)^{13/2} (b d-a e)^2}-\frac{2 (a+b x)^{7/2} (B d-A e)}{15 e (d+e x)^{15/2} (b d-a e)}","\frac{32 b^3 (a+b x)^{7/2} (-15 a B e+8 A b e+7 b B d)}{45045 e (d+e x)^{7/2} (b d-a e)^5}+\frac{16 b^2 (a+b x)^{7/2} (-15 a B e+8 A b e+7 b B d)}{6435 e (d+e x)^{9/2} (b d-a e)^4}+\frac{4 b (a+b x)^{7/2} (-15 a B e+8 A b e+7 b B d)}{715 e (d+e x)^{11/2} (b d-a e)^3}+\frac{2 (a+b x)^{7/2} (-15 a B e+8 A b e+7 b B d)}{195 e (d+e x)^{13/2} (b d-a e)^2}-\frac{2 (a+b x)^{7/2} (B d-A e)}{15 e (d+e x)^{15/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(7/2))/(15*e*(b*d - a*e)*(d + e*x)^(15/2)) + (2*(7*b*B*d + 8*A*b*e - 15*a*B*e)*(a + b*x)^(7/2))/(195*e*(b*d - a*e)^2*(d + e*x)^(13/2)) + (4*b*(7*b*B*d + 8*A*b*e - 15*a*B*e)*(a + b*x)^(7/2))/(715*e*(b*d - a*e)^3*(d + e*x)^(11/2)) + (16*b^2*(7*b*B*d + 8*A*b*e - 15*a*B*e)*(a + b*x)^(7/2))/(6435*e*(b*d - a*e)^4*(d + e*x)^(9/2)) + (32*b^3*(7*b*B*d + 8*A*b*e - 15*a*B*e)*(a + b*x)^(7/2))/(45045*e*(b*d - a*e)^5*(d + e*x)^(7/2))","A",5,3,24,0.1250,1,"{78, 45, 37}"
2235,1,309,0,0.1993066,"\int \frac{(a+b x)^{5/2} (A+B x)}{(d+e x)^{19/2}} \, dx","Int[((a + b*x)^(5/2)*(A + B*x))/(d + e*x)^(19/2),x]","\frac{256 b^4 (a+b x)^{7/2} (-17 a B e+10 A b e+7 b B d)}{765765 e (d+e x)^{7/2} (b d-a e)^6}+\frac{128 b^3 (a+b x)^{7/2} (-17 a B e+10 A b e+7 b B d)}{109395 e (d+e x)^{9/2} (b d-a e)^5}+\frac{32 b^2 (a+b x)^{7/2} (-17 a B e+10 A b e+7 b B d)}{12155 e (d+e x)^{11/2} (b d-a e)^4}+\frac{16 b (a+b x)^{7/2} (-17 a B e+10 A b e+7 b B d)}{3315 e (d+e x)^{13/2} (b d-a e)^3}+\frac{2 (a+b x)^{7/2} (-17 a B e+10 A b e+7 b B d)}{255 e (d+e x)^{15/2} (b d-a e)^2}-\frac{2 (a+b x)^{7/2} (B d-A e)}{17 e (d+e x)^{17/2} (b d-a e)}","\frac{256 b^4 (a+b x)^{7/2} (-17 a B e+10 A b e+7 b B d)}{765765 e (d+e x)^{7/2} (b d-a e)^6}+\frac{128 b^3 (a+b x)^{7/2} (-17 a B e+10 A b e+7 b B d)}{109395 e (d+e x)^{9/2} (b d-a e)^5}+\frac{32 b^2 (a+b x)^{7/2} (-17 a B e+10 A b e+7 b B d)}{12155 e (d+e x)^{11/2} (b d-a e)^4}+\frac{16 b (a+b x)^{7/2} (-17 a B e+10 A b e+7 b B d)}{3315 e (d+e x)^{13/2} (b d-a e)^3}+\frac{2 (a+b x)^{7/2} (-17 a B e+10 A b e+7 b B d)}{255 e (d+e x)^{15/2} (b d-a e)^2}-\frac{2 (a+b x)^{7/2} (B d-A e)}{17 e (d+e x)^{17/2} (b d-a e)}",1,"(-2*(B*d - A*e)*(a + b*x)^(7/2))/(17*e*(b*d - a*e)*(d + e*x)^(17/2)) + (2*(7*b*B*d + 10*A*b*e - 17*a*B*e)*(a + b*x)^(7/2))/(255*e*(b*d - a*e)^2*(d + e*x)^(15/2)) + (16*b*(7*b*B*d + 10*A*b*e - 17*a*B*e)*(a + b*x)^(7/2))/(3315*e*(b*d - a*e)^3*(d + e*x)^(13/2)) + (32*b^2*(7*b*B*d + 10*A*b*e - 17*a*B*e)*(a + b*x)^(7/2))/(12155*e*(b*d - a*e)^4*(d + e*x)^(11/2)) + (128*b^3*(7*b*B*d + 10*A*b*e - 17*a*B*e)*(a + b*x)^(7/2))/(109395*e*(b*d - a*e)^5*(d + e*x)^(9/2)) + (256*b^4*(7*b*B*d + 10*A*b*e - 17*a*B*e)*(a + b*x)^(7/2))/(765765*e*(b*d - a*e)^6*(d + e*x)^(7/2))","A",6,3,24,0.1250,1,"{78, 45, 37}"
2236,1,246,0,0.2067789,"\int \frac{(A+B x) (d+e x)^{5/2}}{\sqrt{a+b x}} \, dx","Int[((A + B*x)*(d + e*x)^(5/2))/Sqrt[a + b*x],x]","-\frac{5 (b d-a e)^3 (7 a B e-8 A b e+b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{64 b^{9/2} e^{3/2}}-\frac{\sqrt{a+b x} (d+e x)^{5/2} (7 a B e-8 A b e+b B d)}{24 b^2 e}-\frac{5 \sqrt{a+b x} (d+e x)^{3/2} (b d-a e) (7 a B e-8 A b e+b B d)}{96 b^3 e}-\frac{5 \sqrt{a+b x} \sqrt{d+e x} (b d-a e)^2 (7 a B e-8 A b e+b B d)}{64 b^4 e}+\frac{B \sqrt{a+b x} (d+e x)^{7/2}}{4 b e}","-\frac{5 (b d-a e)^3 (7 a B e-8 A b e+b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{64 b^{9/2} e^{3/2}}-\frac{\sqrt{a+b x} (d+e x)^{5/2} (7 a B e-8 A b e+b B d)}{24 b^2 e}-\frac{5 \sqrt{a+b x} (d+e x)^{3/2} (b d-a e) (7 a B e-8 A b e+b B d)}{96 b^3 e}-\frac{5 \sqrt{a+b x} \sqrt{d+e x} (b d-a e)^2 (7 a B e-8 A b e+b B d)}{64 b^4 e}+\frac{B \sqrt{a+b x} (d+e x)^{7/2}}{4 b e}",1,"(-5*(b*d - a*e)^2*(b*B*d - 8*A*b*e + 7*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(64*b^4*e) - (5*(b*d - a*e)*(b*B*d - 8*A*b*e + 7*a*B*e)*Sqrt[a + b*x]*(d + e*x)^(3/2))/(96*b^3*e) - ((b*B*d - 8*A*b*e + 7*a*B*e)*Sqrt[a + b*x]*(d + e*x)^(5/2))/(24*b^2*e) + (B*Sqrt[a + b*x]*(d + e*x)^(7/2))/(4*b*e) - (5*(b*d - a*e)^3*(b*B*d - 8*A*b*e + 7*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(64*b^(9/2)*e^(3/2))","A",7,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2237,1,193,0,0.1487681,"\int \frac{(A+B x) (d+e x)^{3/2}}{\sqrt{a+b x}} \, dx","Int[((A + B*x)*(d + e*x)^(3/2))/Sqrt[a + b*x],x]","-\frac{(b d-a e)^2 (5 a B e-6 A b e+b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{8 b^{7/2} e^{3/2}}-\frac{\sqrt{a+b x} (d+e x)^{3/2} (5 a B e-6 A b e+b B d)}{12 b^2 e}-\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e) (5 a B e-6 A b e+b B d)}{8 b^3 e}+\frac{B \sqrt{a+b x} (d+e x)^{5/2}}{3 b e}","-\frac{(b d-a e)^2 (5 a B e-6 A b e+b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{8 b^{7/2} e^{3/2}}-\frac{\sqrt{a+b x} (d+e x)^{3/2} (5 a B e-6 A b e+b B d)}{12 b^2 e}-\frac{\sqrt{a+b x} \sqrt{d+e x} (b d-a e) (5 a B e-6 A b e+b B d)}{8 b^3 e}+\frac{B \sqrt{a+b x} (d+e x)^{5/2}}{3 b e}",1,"-((b*d - a*e)*(b*B*d - 6*A*b*e + 5*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(8*b^3*e) - ((b*B*d - 6*A*b*e + 5*a*B*e)*Sqrt[a + b*x]*(d + e*x)^(3/2))/(12*b^2*e) + (B*Sqrt[a + b*x]*(d + e*x)^(5/2))/(3*b*e) - ((b*d - a*e)^2*(b*B*d - 6*A*b*e + 5*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(8*b^(7/2)*e^(3/2))","A",6,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2238,1,140,0,0.1066248,"\int \frac{(A+B x) \sqrt{d+e x}}{\sqrt{a+b x}} \, dx","Int[((A + B*x)*Sqrt[d + e*x])/Sqrt[a + b*x],x]","-\frac{(b d-a e) (3 a B e-4 A b e+b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{4 b^{5/2} e^{3/2}}-\frac{\sqrt{a+b x} \sqrt{d+e x} (3 a B e-4 A b e+b B d)}{4 b^2 e}+\frac{B \sqrt{a+b x} (d+e x)^{3/2}}{2 b e}","-\frac{(b d-a e) (3 a B e-4 A b e+b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{4 b^{5/2} e^{3/2}}-\frac{\sqrt{a+b x} \sqrt{d+e x} (3 a B e-4 A b e+b B d)}{4 b^2 e}+\frac{B \sqrt{a+b x} (d+e x)^{3/2}}{2 b e}",1,"-((b*B*d - 4*A*b*e + 3*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(4*b^2*e) + (B*Sqrt[a + b*x]*(d + e*x)^(3/2))/(2*b*e) - ((b*d - a*e)*(b*B*d - 4*A*b*e + 3*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(4*b^(5/2)*e^(3/2))","A",5,5,24,0.2083,1,"{80, 50, 63, 217, 206}"
2239,1,84,0,0.0598965,"\int \frac{A+B x}{\sqrt{a+b x} \sqrt{d+e x}} \, dx","Int[(A + B*x)/(Sqrt[a + b*x]*Sqrt[d + e*x]),x]","\frac{(2 A b e-B (a e+b d)) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{b^{3/2} e^{3/2}}+\frac{B \sqrt{a+b x} \sqrt{d+e x}}{b e}","\frac{(2 A b e-B (a e+b d)) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{b^{3/2} e^{3/2}}+\frac{B \sqrt{a+b x} \sqrt{d+e x}}{b e}",1,"(B*Sqrt[a + b*x]*Sqrt[d + e*x])/(b*e) + ((2*A*b*e - B*(b*d + a*e))*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(b^(3/2)*e^(3/2))","A",4,4,24,0.1667,1,"{80, 63, 217, 206}"
2240,1,85,0,0.0466726,"\int \frac{A+B x}{\sqrt{a+b x} (d+e x)^{3/2}} \, dx","Int[(A + B*x)/(Sqrt[a + b*x]*(d + e*x)^(3/2)),x]","\frac{2 B \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{\sqrt{b} e^{3/2}}-\frac{2 \sqrt{a+b x} (B d-A e)}{e \sqrt{d+e x} (b d-a e)}","\frac{2 B \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{\sqrt{b} e^{3/2}}-\frac{2 \sqrt{a+b x} (B d-A e)}{e \sqrt{d+e x} (b d-a e)}",1,"(-2*(B*d - A*e)*Sqrt[a + b*x])/(e*(b*d - a*e)*Sqrt[d + e*x]) + (2*B*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(Sqrt[b]*e^(3/2))","A",4,4,24,0.1667,1,"{78, 63, 217, 206}"
2241,1,94,0,0.0466166,"\int \frac{A+B x}{\sqrt{a+b x} (d+e x)^{5/2}} \, dx","Int[(A + B*x)/(Sqrt[a + b*x]*(d + e*x)^(5/2)),x]","\frac{2 \sqrt{a+b x} (-3 a B e+2 A b e+b B d)}{3 e \sqrt{d+e x} (b d-a e)^2}-\frac{2 \sqrt{a+b x} (B d-A e)}{3 e (d+e x)^{3/2} (b d-a e)}","\frac{2 \sqrt{a+b x} (-3 a B e+2 A b e+b B d)}{3 e \sqrt{d+e x} (b d-a e)^2}-\frac{2 \sqrt{a+b x} (B d-A e)}{3 e (d+e x)^{3/2} (b d-a e)}",1,"(-2*(B*d - A*e)*Sqrt[a + b*x])/(3*e*(b*d - a*e)*(d + e*x)^(3/2)) + (2*(b*B*d + 2*A*b*e - 3*a*B*e)*Sqrt[a + b*x])/(3*e*(b*d - a*e)^2*Sqrt[d + e*x])","A",2,2,24,0.08333,1,"{78, 37}"
2242,1,145,0,0.0852252,"\int \frac{A+B x}{\sqrt{a+b x} (d+e x)^{7/2}} \, dx","Int[(A + B*x)/(Sqrt[a + b*x]*(d + e*x)^(7/2)),x]","-\frac{2 \sqrt{a+b x} (B d-A e)}{5 e (d+e x)^{5/2} (b d-a e)}+\frac{4 b \sqrt{a+b x} (-5 a B e+4 A b e+b B d)}{15 e \sqrt{d+e x} (b d-a e)^3}+\frac{2 \sqrt{a+b x} (-5 a B e+4 A b e+b B d)}{15 e (d+e x)^{3/2} (b d-a e)^2}","-\frac{2 \sqrt{a+b x} (B d-A e)}{5 e (d+e x)^{5/2} (b d-a e)}+\frac{4 b \sqrt{a+b x} (-5 a B e+4 A b e+b B d)}{15 e \sqrt{d+e x} (b d-a e)^3}+\frac{2 \sqrt{a+b x} (-5 a B e+4 A b e+b B d)}{15 e (d+e x)^{3/2} (b d-a e)^2}",1,"(-2*(B*d - A*e)*Sqrt[a + b*x])/(5*e*(b*d - a*e)*(d + e*x)^(5/2)) + (2*(b*B*d + 4*A*b*e - 5*a*B*e)*Sqrt[a + b*x])/(15*e*(b*d - a*e)^2*(d + e*x)^(3/2)) + (4*b*(b*B*d + 4*A*b*e - 5*a*B*e)*Sqrt[a + b*x])/(15*e*(b*d - a*e)^3*Sqrt[d + e*x])","A",3,3,24,0.1250,1,"{78, 45, 37}"
2243,1,198,0,0.1264435,"\int \frac{A+B x}{\sqrt{a+b x} (d+e x)^{9/2}} \, dx","Int[(A + B*x)/(Sqrt[a + b*x]*(d + e*x)^(9/2)),x]","\frac{16 b^2 \sqrt{a+b x} (-7 a B e+6 A b e+b B d)}{105 e \sqrt{d+e x} (b d-a e)^4}+\frac{8 b \sqrt{a+b x} (-7 a B e+6 A b e+b B d)}{105 e (d+e x)^{3/2} (b d-a e)^3}+\frac{2 \sqrt{a+b x} (-7 a B e+6 A b e+b B d)}{35 e (d+e x)^{5/2} (b d-a e)^2}-\frac{2 \sqrt{a+b x} (B d-A e)}{7 e (d+e x)^{7/2} (b d-a e)}","\frac{16 b^2 \sqrt{a+b x} (-7 a B e+6 A b e+b B d)}{105 e \sqrt{d+e x} (b d-a e)^4}+\frac{8 b \sqrt{a+b x} (-7 a B e+6 A b e+b B d)}{105 e (d+e x)^{3/2} (b d-a e)^3}+\frac{2 \sqrt{a+b x} (-7 a B e+6 A b e+b B d)}{35 e (d+e x)^{5/2} (b d-a e)^2}-\frac{2 \sqrt{a+b x} (B d-A e)}{7 e (d+e x)^{7/2} (b d-a e)}",1,"(-2*(B*d - A*e)*Sqrt[a + b*x])/(7*e*(b*d - a*e)*(d + e*x)^(7/2)) + (2*(b*B*d + 6*A*b*e - 7*a*B*e)*Sqrt[a + b*x])/(35*e*(b*d - a*e)^2*(d + e*x)^(5/2)) + (8*b*(b*B*d + 6*A*b*e - 7*a*B*e)*Sqrt[a + b*x])/(105*e*(b*d - a*e)^3*(d + e*x)^(3/2)) + (16*b^2*(b*B*d + 6*A*b*e - 7*a*B*e)*Sqrt[a + b*x])/(105*e*(b*d - a*e)^4*Sqrt[d + e*x])","A",4,3,24,0.1250,1,"{78, 45, 37}"
2244,1,251,0,0.1615433,"\int \frac{A+B x}{\sqrt{a+b x} (d+e x)^{11/2}} \, dx","Int[(A + B*x)/(Sqrt[a + b*x]*(d + e*x)^(11/2)),x]","\frac{32 b^3 \sqrt{a+b x} (-9 a B e+8 A b e+b B d)}{315 e \sqrt{d+e x} (b d-a e)^5}+\frac{16 b^2 \sqrt{a+b x} (-9 a B e+8 A b e+b B d)}{315 e (d+e x)^{3/2} (b d-a e)^4}+\frac{4 b \sqrt{a+b x} (-9 a B e+8 A b e+b B d)}{105 e (d+e x)^{5/2} (b d-a e)^3}+\frac{2 \sqrt{a+b x} (-9 a B e+8 A b e+b B d)}{63 e (d+e x)^{7/2} (b d-a e)^2}-\frac{2 \sqrt{a+b x} (B d-A e)}{9 e (d+e x)^{9/2} (b d-a e)}","\frac{32 b^3 \sqrt{a+b x} (-9 a B e+8 A b e+b B d)}{315 e \sqrt{d+e x} (b d-a e)^5}+\frac{16 b^2 \sqrt{a+b x} (-9 a B e+8 A b e+b B d)}{315 e (d+e x)^{3/2} (b d-a e)^4}+\frac{4 b \sqrt{a+b x} (-9 a B e+8 A b e+b B d)}{105 e (d+e x)^{5/2} (b d-a e)^3}+\frac{2 \sqrt{a+b x} (-9 a B e+8 A b e+b B d)}{63 e (d+e x)^{7/2} (b d-a e)^2}-\frac{2 \sqrt{a+b x} (B d-A e)}{9 e (d+e x)^{9/2} (b d-a e)}",1,"(-2*(B*d - A*e)*Sqrt[a + b*x])/(9*e*(b*d - a*e)*(d + e*x)^(9/2)) + (2*(b*B*d + 8*A*b*e - 9*a*B*e)*Sqrt[a + b*x])/(63*e*(b*d - a*e)^2*(d + e*x)^(7/2)) + (4*b*(b*B*d + 8*A*b*e - 9*a*B*e)*Sqrt[a + b*x])/(105*e*(b*d - a*e)^3*(d + e*x)^(5/2)) + (16*b^2*(b*B*d + 8*A*b*e - 9*a*B*e)*Sqrt[a + b*x])/(315*e*(b*d - a*e)^4*(d + e*x)^(3/2)) + (32*b^3*(b*B*d + 8*A*b*e - 9*a*B*e)*Sqrt[a + b*x])/(315*e*(b*d - a*e)^5*Sqrt[d + e*x])","A",5,3,24,0.1250,1,"{78, 45, 37}"
2245,1,249,0,0.2201781,"\int \frac{(A+B x) (d+e x)^{5/2}}{(a+b x)^{3/2}} \, dx","Int[((A + B*x)*(d + e*x)^(5/2))/(a + b*x)^(3/2),x]","\frac{\sqrt{a+b x} (d+e x)^{5/2} (-7 a B e+6 A b e+b B d)}{3 b^2 (b d-a e)}+\frac{5 \sqrt{a+b x} (d+e x)^{3/2} (-7 a B e+6 A b e+b B d)}{12 b^3}+\frac{5 \sqrt{a+b x} \sqrt{d+e x} (b d-a e) (-7 a B e+6 A b e+b B d)}{8 b^4}+\frac{5 (b d-a e)^2 (-7 a B e+6 A b e+b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{8 b^{9/2} \sqrt{e}}-\frac{2 (d+e x)^{7/2} (A b-a B)}{b \sqrt{a+b x} (b d-a e)}","\frac{\sqrt{a+b x} (d+e x)^{5/2} (-7 a B e+6 A b e+b B d)}{3 b^2 (b d-a e)}+\frac{5 \sqrt{a+b x} (d+e x)^{3/2} (-7 a B e+6 A b e+b B d)}{12 b^3}+\frac{5 \sqrt{a+b x} \sqrt{d+e x} (b d-a e) (-7 a B e+6 A b e+b B d)}{8 b^4}+\frac{5 (b d-a e)^2 (-7 a B e+6 A b e+b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{8 b^{9/2} \sqrt{e}}-\frac{2 (d+e x)^{7/2} (A b-a B)}{b \sqrt{a+b x} (b d-a e)}",1,"(5*(b*d - a*e)*(b*B*d + 6*A*b*e - 7*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(8*b^4) + (5*(b*B*d + 6*A*b*e - 7*a*B*e)*Sqrt[a + b*x]*(d + e*x)^(3/2))/(12*b^3) + ((b*B*d + 6*A*b*e - 7*a*B*e)*Sqrt[a + b*x]*(d + e*x)^(5/2))/(3*b^2*(b*d - a*e)) - (2*(A*b - a*B)*(d + e*x)^(7/2))/(b*(b*d - a*e)*Sqrt[a + b*x]) + (5*(b*d - a*e)^2*(b*B*d + 6*A*b*e - 7*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(8*b^(9/2)*Sqrt[e])","A",7,5,24,0.2083,1,"{78, 50, 63, 217, 206}"
2246,1,199,0,0.1505388,"\int \frac{(A+B x) (d+e x)^{3/2}}{(a+b x)^{3/2}} \, dx","Int[((A + B*x)*(d + e*x)^(3/2))/(a + b*x)^(3/2),x]","\frac{\sqrt{a+b x} (d+e x)^{3/2} (-5 a B e+4 A b e+b B d)}{2 b^2 (b d-a e)}+\frac{3 \sqrt{a+b x} \sqrt{d+e x} (-5 a B e+4 A b e+b B d)}{4 b^3}+\frac{3 (b d-a e) (-5 a B e+4 A b e+b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{4 b^{7/2} \sqrt{e}}-\frac{2 (d+e x)^{5/2} (A b-a B)}{b \sqrt{a+b x} (b d-a e)}","\frac{\sqrt{a+b x} (d+e x)^{3/2} (-5 a B e+4 A b e+b B d)}{2 b^2 (b d-a e)}+\frac{3 \sqrt{a+b x} \sqrt{d+e x} (-5 a B e+4 A b e+b B d)}{4 b^3}+\frac{3 (b d-a e) (-5 a B e+4 A b e+b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{4 b^{7/2} \sqrt{e}}-\frac{2 (d+e x)^{5/2} (A b-a B)}{b \sqrt{a+b x} (b d-a e)}",1,"(3*(b*B*d + 4*A*b*e - 5*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(4*b^3) + ((b*B*d + 4*A*b*e - 5*a*B*e)*Sqrt[a + b*x]*(d + e*x)^(3/2))/(2*b^2*(b*d - a*e)) - (2*(A*b - a*B)*(d + e*x)^(5/2))/(b*(b*d - a*e)*Sqrt[a + b*x]) + (3*(b*d - a*e)*(b*B*d + 4*A*b*e - 5*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(4*b^(7/2)*Sqrt[e])","A",6,5,24,0.2083,1,"{78, 50, 63, 217, 206}"
2247,1,145,0,0.1118215,"\int \frac{(A+B x) \sqrt{d+e x}}{(a+b x)^{3/2}} \, dx","Int[((A + B*x)*Sqrt[d + e*x])/(a + b*x)^(3/2),x]","\frac{\sqrt{a+b x} \sqrt{d+e x} (-3 a B e+2 A b e+b B d)}{b^2 (b d-a e)}+\frac{(-3 a B e+2 A b e+b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{b^{5/2} \sqrt{e}}-\frac{2 (d+e x)^{3/2} (A b-a B)}{b \sqrt{a+b x} (b d-a e)}","\frac{\sqrt{a+b x} \sqrt{d+e x} (-3 a B e+2 A b e+b B d)}{b^2 (b d-a e)}+\frac{(-3 a B e+2 A b e+b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{b^{5/2} \sqrt{e}}-\frac{2 (d+e x)^{3/2} (A b-a B)}{b \sqrt{a+b x} (b d-a e)}",1,"((b*B*d + 2*A*b*e - 3*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(b^2*(b*d - a*e)) - (2*(A*b - a*B)*(d + e*x)^(3/2))/(b*(b*d - a*e)*Sqrt[a + b*x]) + ((b*B*d + 2*A*b*e - 3*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(b^(5/2)*Sqrt[e])","A",5,5,24,0.2083,1,"{78, 50, 63, 217, 206}"
2248,1,85,0,0.0434558,"\int \frac{A+B x}{(a+b x)^{3/2} \sqrt{d+e x}} \, dx","Int[(A + B*x)/((a + b*x)^(3/2)*Sqrt[d + e*x]),x]","\frac{2 B \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{b^{3/2} \sqrt{e}}-\frac{2 \sqrt{d+e x} (A b-a B)}{b \sqrt{a+b x} (b d-a e)}","\frac{2 B \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{b^{3/2} \sqrt{e}}-\frac{2 \sqrt{d+e x} (A b-a B)}{b \sqrt{a+b x} (b d-a e)}",1,"(-2*(A*b - a*B)*Sqrt[d + e*x])/(b*(b*d - a*e)*Sqrt[a + b*x]) + (2*B*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(b^(3/2)*Sqrt[e])","A",4,4,24,0.1667,1,"{78, 63, 217, 206}"
2249,1,89,0,0.0539108,"\int \frac{A+B x}{(a+b x)^{3/2} (d+e x)^{3/2}} \, dx","Int[(A + B*x)/((a + b*x)^(3/2)*(d + e*x)^(3/2)),x]","\frac{2 \sqrt{d+e x} (a B e-2 A b e+b B d)}{e \sqrt{a+b x} (b d-a e)^2}-\frac{2 (B d-A e)}{e \sqrt{a+b x} \sqrt{d+e x} (b d-a e)}","\frac{2 \sqrt{d+e x} (a B e-2 A b e+b B d)}{e \sqrt{a+b x} (b d-a e)^2}-\frac{2 (B d-A e)}{e \sqrt{a+b x} \sqrt{d+e x} (b d-a e)}",1,"(-2*(B*d - A*e))/(e*(b*d - a*e)*Sqrt[a + b*x]*Sqrt[d + e*x]) + (2*(b*B*d - 2*A*b*e + a*B*e)*Sqrt[d + e*x])/(e*(b*d - a*e)^2*Sqrt[a + b*x])","A",2,2,24,0.08333,1,"{78, 37}"
2250,1,139,0,0.0858489,"\int \frac{A+B x}{(a+b x)^{3/2} (d+e x)^{5/2}} \, dx","Int[(A + B*x)/((a + b*x)^(3/2)*(d + e*x)^(5/2)),x]","-\frac{2 (A b-a B)}{b \sqrt{a+b x} (d+e x)^{3/2} (b d-a e)}+\frac{4 \sqrt{a+b x} (3 a B e-4 A b e+b B d)}{3 \sqrt{d+e x} (b d-a e)^3}+\frac{2 \sqrt{a+b x} (3 a B e-4 A b e+b B d)}{3 b (d+e x)^{3/2} (b d-a e)^2}","-\frac{2 (A b-a B)}{b \sqrt{a+b x} (d+e x)^{3/2} (b d-a e)}+\frac{4 \sqrt{a+b x} (3 a B e-4 A b e+b B d)}{3 \sqrt{d+e x} (b d-a e)^3}+\frac{2 \sqrt{a+b x} (3 a B e-4 A b e+b B d)}{3 b (d+e x)^{3/2} (b d-a e)^2}",1,"(-2*(A*b - a*B))/(b*(b*d - a*e)*Sqrt[a + b*x]*(d + e*x)^(3/2)) + (2*(b*B*d - 4*A*b*e + 3*a*B*e)*Sqrt[a + b*x])/(3*b*(b*d - a*e)^2*(d + e*x)^(3/2)) + (4*(b*B*d - 4*A*b*e + 3*a*B*e)*Sqrt[a + b*x])/(3*(b*d - a*e)^3*Sqrt[d + e*x])","A",3,3,24,0.1250,1,"{78, 45, 37}"
2251,1,187,0,0.1132522,"\int \frac{A+B x}{(a+b x)^{3/2} (d+e x)^{7/2}} \, dx","Int[(A + B*x)/((a + b*x)^(3/2)*(d + e*x)^(7/2)),x]","-\frac{2 (A b-a B)}{b \sqrt{a+b x} (d+e x)^{5/2} (b d-a e)}+\frac{16 b \sqrt{a+b x} (5 a B e-6 A b e+b B d)}{15 \sqrt{d+e x} (b d-a e)^4}+\frac{8 \sqrt{a+b x} (5 a B e-6 A b e+b B d)}{15 (d+e x)^{3/2} (b d-a e)^3}+\frac{2 \sqrt{a+b x} (5 a B e-6 A b e+b B d)}{5 b (d+e x)^{5/2} (b d-a e)^2}","-\frac{2 (A b-a B)}{b \sqrt{a+b x} (d+e x)^{5/2} (b d-a e)}+\frac{16 b \sqrt{a+b x} (5 a B e-6 A b e+b B d)}{15 \sqrt{d+e x} (b d-a e)^4}+\frac{8 \sqrt{a+b x} (5 a B e-6 A b e+b B d)}{15 (d+e x)^{3/2} (b d-a e)^3}+\frac{2 \sqrt{a+b x} (5 a B e-6 A b e+b B d)}{5 b (d+e x)^{5/2} (b d-a e)^2}",1,"(-2*(A*b - a*B))/(b*(b*d - a*e)*Sqrt[a + b*x]*(d + e*x)^(5/2)) + (2*(b*B*d - 6*A*b*e + 5*a*B*e)*Sqrt[a + b*x])/(5*b*(b*d - a*e)^2*(d + e*x)^(5/2)) + (8*(b*B*d - 6*A*b*e + 5*a*B*e)*Sqrt[a + b*x])/(15*(b*d - a*e)^3*(d + e*x)^(3/2)) + (16*b*(b*B*d - 6*A*b*e + 5*a*B*e)*Sqrt[a + b*x])/(15*(b*d - a*e)^4*Sqrt[d + e*x])","A",4,3,24,0.1250,1,"{78, 45, 37}"
2252,1,237,0,0.1468416,"\int \frac{A+B x}{(a+b x)^{3/2} (d+e x)^{9/2}} \, dx","Int[(A + B*x)/((a + b*x)^(3/2)*(d + e*x)^(9/2)),x]","\frac{32 b^2 \sqrt{a+b x} (7 a B e-8 A b e+b B d)}{35 \sqrt{d+e x} (b d-a e)^5}+\frac{16 b \sqrt{a+b x} (7 a B e-8 A b e+b B d)}{35 (d+e x)^{3/2} (b d-a e)^4}+\frac{12 \sqrt{a+b x} (7 a B e-8 A b e+b B d)}{35 (d+e x)^{5/2} (b d-a e)^3}+\frac{2 \sqrt{a+b x} (7 a B e-8 A b e+b B d)}{7 b (d+e x)^{7/2} (b d-a e)^2}-\frac{2 (A b-a B)}{b \sqrt{a+b x} (d+e x)^{7/2} (b d-a e)}","\frac{32 b^2 \sqrt{a+b x} (7 a B e-8 A b e+b B d)}{35 \sqrt{d+e x} (b d-a e)^5}+\frac{16 b \sqrt{a+b x} (7 a B e-8 A b e+b B d)}{35 (d+e x)^{3/2} (b d-a e)^4}+\frac{12 \sqrt{a+b x} (7 a B e-8 A b e+b B d)}{35 (d+e x)^{5/2} (b d-a e)^3}+\frac{2 \sqrt{a+b x} (7 a B e-8 A b e+b B d)}{7 b (d+e x)^{7/2} (b d-a e)^2}-\frac{2 (A b-a B)}{b \sqrt{a+b x} (d+e x)^{7/2} (b d-a e)}",1,"(-2*(A*b - a*B))/(b*(b*d - a*e)*Sqrt[a + b*x]*(d + e*x)^(7/2)) + (2*(b*B*d - 8*A*b*e + 7*a*B*e)*Sqrt[a + b*x])/(7*b*(b*d - a*e)^2*(d + e*x)^(7/2)) + (12*(b*B*d - 8*A*b*e + 7*a*B*e)*Sqrt[a + b*x])/(35*(b*d - a*e)^3*(d + e*x)^(5/2)) + (16*b*(b*B*d - 8*A*b*e + 7*a*B*e)*Sqrt[a + b*x])/(35*(b*d - a*e)^4*(d + e*x)^(3/2)) + (32*b^2*(b*B*d - 8*A*b*e + 7*a*B*e)*Sqrt[a + b*x])/(35*(b*d - a*e)^5*Sqrt[d + e*x])","A",5,3,24,0.1250,1,"{78, 45, 37}"
2253,1,302,0,0.2422324,"\int \frac{(A+B x) (d+e x)^{7/2}}{(a+b x)^{5/2}} \, dx","Int[((A + B*x)*(d + e*x)^(7/2))/(a + b*x)^(5/2),x]","-\frac{2 (d+e x)^{7/2} (-3 a B e+2 A b e+b B d)}{b^2 \sqrt{a+b x} (b d-a e)}+\frac{7 e \sqrt{a+b x} (d+e x)^{5/2} (-3 a B e+2 A b e+b B d)}{3 b^3 (b d-a e)}+\frac{35 e \sqrt{a+b x} (d+e x)^{3/2} (-3 a B e+2 A b e+b B d)}{12 b^4}+\frac{35 e \sqrt{a+b x} \sqrt{d+e x} (b d-a e) (-3 a B e+2 A b e+b B d)}{8 b^5}+\frac{35 \sqrt{e} (b d-a e)^2 (-3 a B e+2 A b e+b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{8 b^{11/2}}-\frac{2 (d+e x)^{9/2} (A b-a B)}{3 b (a+b x)^{3/2} (b d-a e)}","-\frac{2 (d+e x)^{7/2} (-3 a B e+2 A b e+b B d)}{b^2 \sqrt{a+b x} (b d-a e)}+\frac{7 e \sqrt{a+b x} (d+e x)^{5/2} (-3 a B e+2 A b e+b B d)}{3 b^3 (b d-a e)}+\frac{35 e \sqrt{a+b x} (d+e x)^{3/2} (-3 a B e+2 A b e+b B d)}{12 b^4}+\frac{35 e \sqrt{a+b x} \sqrt{d+e x} (b d-a e) (-3 a B e+2 A b e+b B d)}{8 b^5}+\frac{35 \sqrt{e} (b d-a e)^2 (-3 a B e+2 A b e+b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{8 b^{11/2}}-\frac{2 (d+e x)^{9/2} (A b-a B)}{3 b (a+b x)^{3/2} (b d-a e)}",1,"(35*e*(b*d - a*e)*(b*B*d + 2*A*b*e - 3*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(8*b^5) + (35*e*(b*B*d + 2*A*b*e - 3*a*B*e)*Sqrt[a + b*x]*(d + e*x)^(3/2))/(12*b^4) + (7*e*(b*B*d + 2*A*b*e - 3*a*B*e)*Sqrt[a + b*x]*(d + e*x)^(5/2))/(3*b^3*(b*d - a*e)) - (2*(b*B*d + 2*A*b*e - 3*a*B*e)*(d + e*x)^(7/2))/(b^2*(b*d - a*e)*Sqrt[a + b*x]) - (2*(A*b - a*B)*(d + e*x)^(9/2))/(3*b*(b*d - a*e)*(a + b*x)^(3/2)) + (35*Sqrt[e]*(b*d - a*e)^2*(b*B*d + 2*A*b*e - 3*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(8*b^(11/2))","A",8,6,24,0.2500,1,"{78, 47, 50, 63, 217, 206}"
2254,1,257,0,0.1979939,"\int \frac{(A+B x) (d+e x)^{5/2}}{(a+b x)^{5/2}} \, dx","Int[((A + B*x)*(d + e*x)^(5/2))/(a + b*x)^(5/2),x]","-\frac{2 (d+e x)^{5/2} (-7 a B e+4 A b e+3 b B d)}{3 b^2 \sqrt{a+b x} (b d-a e)}+\frac{5 e \sqrt{a+b x} (d+e x)^{3/2} (-7 a B e+4 A b e+3 b B d)}{6 b^3 (b d-a e)}+\frac{5 e \sqrt{a+b x} \sqrt{d+e x} (-7 a B e+4 A b e+3 b B d)}{4 b^4}+\frac{5 \sqrt{e} (b d-a e) (-7 a B e+4 A b e+3 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{4 b^{9/2}}-\frac{2 (d+e x)^{7/2} (A b-a B)}{3 b (a+b x)^{3/2} (b d-a e)}","-\frac{2 (d+e x)^{5/2} (-7 a B e+4 A b e+3 b B d)}{3 b^2 \sqrt{a+b x} (b d-a e)}+\frac{5 e \sqrt{a+b x} (d+e x)^{3/2} (-7 a B e+4 A b e+3 b B d)}{6 b^3 (b d-a e)}+\frac{5 e \sqrt{a+b x} \sqrt{d+e x} (-7 a B e+4 A b e+3 b B d)}{4 b^4}+\frac{5 \sqrt{e} (b d-a e) (-7 a B e+4 A b e+3 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{4 b^{9/2}}-\frac{2 (d+e x)^{7/2} (A b-a B)}{3 b (a+b x)^{3/2} (b d-a e)}",1,"(5*e*(3*b*B*d + 4*A*b*e - 7*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(4*b^4) + (5*e*(3*b*B*d + 4*A*b*e - 7*a*B*e)*Sqrt[a + b*x]*(d + e*x)^(3/2))/(6*b^3*(b*d - a*e)) - (2*(3*b*B*d + 4*A*b*e - 7*a*B*e)*(d + e*x)^(5/2))/(3*b^2*(b*d - a*e)*Sqrt[a + b*x]) - (2*(A*b - a*B)*(d + e*x)^(7/2))/(3*b*(b*d - a*e)*(a + b*x)^(3/2)) + (5*Sqrt[e]*(b*d - a*e)*(3*b*B*d + 4*A*b*e - 7*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/(4*b^(9/2))","A",7,6,24,0.2500,1,"{78, 47, 50, 63, 217, 206}"
2255,1,201,0,0.1513849,"\int \frac{(A+B x) (d+e x)^{3/2}}{(a+b x)^{5/2}} \, dx","Int[((A + B*x)*(d + e*x)^(3/2))/(a + b*x)^(5/2),x]","-\frac{2 (d+e x)^{3/2} (-5 a B e+2 A b e+3 b B d)}{3 b^2 \sqrt{a+b x} (b d-a e)}+\frac{e \sqrt{a+b x} \sqrt{d+e x} (-5 a B e+2 A b e+3 b B d)}{b^3 (b d-a e)}+\frac{\sqrt{e} (-5 a B e+2 A b e+3 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{b^{7/2}}-\frac{2 (d+e x)^{5/2} (A b-a B)}{3 b (a+b x)^{3/2} (b d-a e)}","-\frac{2 (d+e x)^{3/2} (-5 a B e+2 A b e+3 b B d)}{3 b^2 \sqrt{a+b x} (b d-a e)}+\frac{e \sqrt{a+b x} \sqrt{d+e x} (-5 a B e+2 A b e+3 b B d)}{b^3 (b d-a e)}+\frac{\sqrt{e} (-5 a B e+2 A b e+3 b B d) \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{b^{7/2}}-\frac{2 (d+e x)^{5/2} (A b-a B)}{3 b (a+b x)^{3/2} (b d-a e)}",1,"(e*(3*b*B*d + 2*A*b*e - 5*a*B*e)*Sqrt[a + b*x]*Sqrt[d + e*x])/(b^3*(b*d - a*e)) - (2*(3*b*B*d + 2*A*b*e - 5*a*B*e)*(d + e*x)^(3/2))/(3*b^2*(b*d - a*e)*Sqrt[a + b*x]) - (2*(A*b - a*B)*(d + e*x)^(5/2))/(3*b*(b*d - a*e)*(a + b*x)^(3/2)) + (Sqrt[e]*(3*b*B*d + 2*A*b*e - 5*a*B*e)*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/b^(7/2)","A",6,6,24,0.2500,1,"{78, 47, 50, 63, 217, 206}"
2256,1,111,0,0.059924,"\int \frac{(A+B x) \sqrt{d+e x}}{(a+b x)^{5/2}} \, dx","Int[((A + B*x)*Sqrt[d + e*x])/(a + b*x)^(5/2),x]","-\frac{2 (d+e x)^{3/2} (A b-a B)}{3 b (a+b x)^{3/2} (b d-a e)}-\frac{2 B \sqrt{d+e x}}{b^2 \sqrt{a+b x}}+\frac{2 B \sqrt{e} \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{b^{5/2}}","-\frac{2 (d+e x)^{3/2} (A b-a B)}{3 b (a+b x)^{3/2} (b d-a e)}-\frac{2 B \sqrt{d+e x}}{b^2 \sqrt{a+b x}}+\frac{2 B \sqrt{e} \tanh ^{-1}\left(\frac{\sqrt{e} \sqrt{a+b x}}{\sqrt{b} \sqrt{d+e x}}\right)}{b^{5/2}}",1,"(-2*B*Sqrt[d + e*x])/(b^2*Sqrt[a + b*x]) - (2*(A*b - a*B)*(d + e*x)^(3/2))/(3*b*(b*d - a*e)*(a + b*x)^(3/2)) + (2*B*Sqrt[e]*ArcTanh[(Sqrt[e]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[d + e*x])])/b^(5/2)","A",5,5,24,0.2083,1,"{78, 47, 63, 217, 206}"
2257,1,95,0,0.046811,"\int \frac{A+B x}{(a+b x)^{5/2} \sqrt{d+e x}} \, dx","Int[(A + B*x)/((a + b*x)^(5/2)*Sqrt[d + e*x]),x]","-\frac{2 \sqrt{d+e x} (A b-a B)}{3 b (a+b x)^{3/2} (b d-a e)}-\frac{2 \sqrt{d+e x} (-a B e-2 A b e+3 b B d)}{3 b \sqrt{a+b x} (b d-a e)^2}","-\frac{2 \sqrt{d+e x} (A b-a B)}{3 b (a+b x)^{3/2} (b d-a e)}-\frac{2 \sqrt{d+e x} (-a B e-2 A b e+3 b B d)}{3 b \sqrt{a+b x} (b d-a e)^2}",1,"(-2*(A*b - a*B)*Sqrt[d + e*x])/(3*b*(b*d - a*e)*(a + b*x)^(3/2)) - (2*(3*b*B*d - 2*A*b*e - a*B*e)*Sqrt[d + e*x])/(3*b*(b*d - a*e)^2*Sqrt[a + b*x])","A",2,2,24,0.08333,1,"{78, 37}"
2258,1,139,0,0.0866917,"\int \frac{A+B x}{(a+b x)^{5/2} (d+e x)^{3/2}} \, dx","Int[(A + B*x)/((a + b*x)^(5/2)*(d + e*x)^(3/2)),x]","-\frac{2 (B d-A e)}{e (a+b x)^{3/2} \sqrt{d+e x} (b d-a e)}-\frac{4 \sqrt{d+e x} (a B e-4 A b e+3 b B d)}{3 \sqrt{a+b x} (b d-a e)^3}+\frac{2 \sqrt{d+e x} (a B e-4 A b e+3 b B d)}{3 e (a+b x)^{3/2} (b d-a e)^2}","-\frac{2 (B d-A e)}{e (a+b x)^{3/2} \sqrt{d+e x} (b d-a e)}-\frac{4 \sqrt{d+e x} (a B e-4 A b e+3 b B d)}{3 \sqrt{a+b x} (b d-a e)^3}+\frac{2 \sqrt{d+e x} (a B e-4 A b e+3 b B d)}{3 e (a+b x)^{3/2} (b d-a e)^2}",1,"(-2*(B*d - A*e))/(e*(b*d - a*e)*(a + b*x)^(3/2)*Sqrt[d + e*x]) + (2*(3*b*B*d - 4*A*b*e + a*B*e)*Sqrt[d + e*x])/(3*e*(b*d - a*e)^2*(a + b*x)^(3/2)) - (4*(3*b*B*d - 4*A*b*e + a*B*e)*Sqrt[d + e*x])/(3*(b*d - a*e)^3*Sqrt[a + b*x])","A",3,3,24,0.1250,1,"{78, 45, 37}"
2259,1,186,0,0.1137137,"\int \frac{A+B x}{(a+b x)^{5/2} (d+e x)^{5/2}} \, dx","Int[(A + B*x)/((a + b*x)^(5/2)*(d + e*x)^(5/2)),x]","-\frac{2 (B d-A e)}{3 e (a+b x)^{3/2} (d+e x)^{3/2} (b d-a e)}-\frac{16 e \sqrt{a+b x} (a B e-2 A b e+b B d)}{3 \sqrt{d+e x} (b d-a e)^4}-\frac{8 (a B e-2 A b e+b B d)}{3 \sqrt{a+b x} \sqrt{d+e x} (b d-a e)^3}+\frac{2 (a B e-2 A b e+b B d)}{3 e (a+b x)^{3/2} \sqrt{d+e x} (b d-a e)^2}","-\frac{2 (B d-A e)}{3 e (a+b x)^{3/2} (d+e x)^{3/2} (b d-a e)}-\frac{16 e \sqrt{a+b x} (a B e-2 A b e+b B d)}{3 \sqrt{d+e x} (b d-a e)^4}-\frac{8 (a B e-2 A b e+b B d)}{3 \sqrt{a+b x} \sqrt{d+e x} (b d-a e)^3}+\frac{2 (a B e-2 A b e+b B d)}{3 e (a+b x)^{3/2} \sqrt{d+e x} (b d-a e)^2}",1,"(-2*(B*d - A*e))/(3*e*(b*d - a*e)*(a + b*x)^(3/2)*(d + e*x)^(3/2)) + (2*(b*B*d - 2*A*b*e + a*B*e))/(3*e*(b*d - a*e)^2*(a + b*x)^(3/2)*Sqrt[d + e*x]) - (8*(b*B*d - 2*A*b*e + a*B*e))/(3*(b*d - a*e)^3*Sqrt[a + b*x]*Sqrt[d + e*x]) - (16*e*(b*B*d - 2*A*b*e + a*B*e)*Sqrt[a + b*x])/(3*(b*d - a*e)^4*Sqrt[d + e*x])","A",4,3,24,0.1250,1,"{78, 45, 37}"
2260,1,246,0,0.1586367,"\int \frac{A+B x}{(a+b x)^{5/2} (d+e x)^{7/2}} \, dx","Int[(A + B*x)/((a + b*x)^(5/2)*(d + e*x)^(7/2)),x]","-\frac{2 (A b-a B)}{3 b (a+b x)^{3/2} (d+e x)^{5/2} (b d-a e)}-\frac{32 b e \sqrt{a+b x} (5 a B e-8 A b e+3 b B d)}{15 \sqrt{d+e x} (b d-a e)^5}-\frac{16 e \sqrt{a+b x} (5 a B e-8 A b e+3 b B d)}{15 (d+e x)^{3/2} (b d-a e)^4}-\frac{4 e \sqrt{a+b x} (5 a B e-8 A b e+3 b B d)}{5 b (d+e x)^{5/2} (b d-a e)^3}-\frac{2 (5 a B e-8 A b e+3 b B d)}{3 b \sqrt{a+b x} (d+e x)^{5/2} (b d-a e)^2}","-\frac{2 (A b-a B)}{3 b (a+b x)^{3/2} (d+e x)^{5/2} (b d-a e)}-\frac{32 b e \sqrt{a+b x} (5 a B e-8 A b e+3 b B d)}{15 \sqrt{d+e x} (b d-a e)^5}-\frac{16 e \sqrt{a+b x} (5 a B e-8 A b e+3 b B d)}{15 (d+e x)^{3/2} (b d-a e)^4}-\frac{4 e \sqrt{a+b x} (5 a B e-8 A b e+3 b B d)}{5 b (d+e x)^{5/2} (b d-a e)^3}-\frac{2 (5 a B e-8 A b e+3 b B d)}{3 b \sqrt{a+b x} (d+e x)^{5/2} (b d-a e)^2}",1,"(-2*(A*b - a*B))/(3*b*(b*d - a*e)*(a + b*x)^(3/2)*(d + e*x)^(5/2)) - (2*(3*b*B*d - 8*A*b*e + 5*a*B*e))/(3*b*(b*d - a*e)^2*Sqrt[a + b*x]*(d + e*x)^(5/2)) - (4*e*(3*b*B*d - 8*A*b*e + 5*a*B*e)*Sqrt[a + b*x])/(5*b*(b*d - a*e)^3*(d + e*x)^(5/2)) - (16*e*(3*b*B*d - 8*A*b*e + 5*a*B*e)*Sqrt[a + b*x])/(15*(b*d - a*e)^4*(d + e*x)^(3/2)) - (32*b*e*(3*b*B*d - 8*A*b*e + 5*a*B*e)*Sqrt[a + b*x])/(15*(b*d - a*e)^5*Sqrt[d + e*x])","A",5,3,24,0.1250,1,"{78, 45, 37}"
2261,1,298,0,0.2072782,"\int \frac{A+B x}{(a+b x)^{5/2} (d+e x)^{9/2}} \, dx","Int[(A + B*x)/((a + b*x)^(5/2)*(d + e*x)^(9/2)),x]","-\frac{256 b^2 e \sqrt{a+b x} (7 a B e-10 A b e+3 b B d)}{105 \sqrt{d+e x} (b d-a e)^6}-\frac{128 b e \sqrt{a+b x} (7 a B e-10 A b e+3 b B d)}{105 (d+e x)^{3/2} (b d-a e)^5}-\frac{32 e \sqrt{a+b x} (7 a B e-10 A b e+3 b B d)}{35 (d+e x)^{5/2} (b d-a e)^4}-\frac{16 e \sqrt{a+b x} (7 a B e-10 A b e+3 b B d)}{21 b (d+e x)^{7/2} (b d-a e)^3}-\frac{2 (7 a B e-10 A b e+3 b B d)}{3 b \sqrt{a+b x} (d+e x)^{7/2} (b d-a e)^2}-\frac{2 (A b-a B)}{3 b (a+b x)^{3/2} (d+e x)^{7/2} (b d-a e)}","-\frac{256 b^2 e \sqrt{a+b x} (7 a B e-10 A b e+3 b B d)}{105 \sqrt{d+e x} (b d-a e)^6}-\frac{128 b e \sqrt{a+b x} (7 a B e-10 A b e+3 b B d)}{105 (d+e x)^{3/2} (b d-a e)^5}-\frac{32 e \sqrt{a+b x} (7 a B e-10 A b e+3 b B d)}{35 (d+e x)^{5/2} (b d-a e)^4}-\frac{16 e \sqrt{a+b x} (7 a B e-10 A b e+3 b B d)}{21 b (d+e x)^{7/2} (b d-a e)^3}-\frac{2 (7 a B e-10 A b e+3 b B d)}{3 b \sqrt{a+b x} (d+e x)^{7/2} (b d-a e)^2}-\frac{2 (A b-a B)}{3 b (a+b x)^{3/2} (d+e x)^{7/2} (b d-a e)}",1,"(-2*(A*b - a*B))/(3*b*(b*d - a*e)*(a + b*x)^(3/2)*(d + e*x)^(7/2)) - (2*(3*b*B*d - 10*A*b*e + 7*a*B*e))/(3*b*(b*d - a*e)^2*Sqrt[a + b*x]*(d + e*x)^(7/2)) - (16*e*(3*b*B*d - 10*A*b*e + 7*a*B*e)*Sqrt[a + b*x])/(21*b*(b*d - a*e)^3*(d + e*x)^(7/2)) - (32*e*(3*b*B*d - 10*A*b*e + 7*a*B*e)*Sqrt[a + b*x])/(35*(b*d - a*e)^4*(d + e*x)^(5/2)) - (128*b*e*(3*b*B*d - 10*A*b*e + 7*a*B*e)*Sqrt[a + b*x])/(105*(b*d - a*e)^5*(d + e*x)^(3/2)) - (256*b^2*e*(3*b*B*d - 10*A*b*e + 7*a*B*e)*Sqrt[a + b*x])/(105*(b*d - a*e)^6*Sqrt[d + e*x])","A",6,3,24,0.1250,1,"{78, 45, 37}"
2262,1,157,0,0.0561765,"\int \sqrt{1-2 x} (2+3 x)^4 \sqrt{3+5 x} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^4*Sqrt[3 + 5*x],x]","-\frac{1}{20} (1-2 x)^{3/2} (5 x+3)^{3/2} (3 x+2)^3-\frac{333 (1-2 x)^{3/2} (5 x+3)^{3/2} (3 x+2)^2}{2000}-\frac{7 (1-2 x)^{3/2} (5 x+3)^{3/2} (140652 x+231223)}{640000}-\frac{34069301 (1-2 x)^{3/2} \sqrt{5 x+3}}{5120000}+\frac{374762311 \sqrt{1-2 x} \sqrt{5 x+3}}{51200000}+\frac{4122385421 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{51200000 \sqrt{10}}","-\frac{1}{20} (1-2 x)^{3/2} (5 x+3)^{3/2} (3 x+2)^3-\frac{333 (1-2 x)^{3/2} (5 x+3)^{3/2} (3 x+2)^2}{2000}-\frac{7 (1-2 x)^{3/2} (5 x+3)^{3/2} (140652 x+231223)}{640000}-\frac{34069301 (1-2 x)^{3/2} \sqrt{5 x+3}}{5120000}+\frac{374762311 \sqrt{1-2 x} \sqrt{5 x+3}}{51200000}+\frac{4122385421 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{51200000 \sqrt{10}}",1,"(374762311*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/51200000 - (34069301*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/5120000 - (333*(1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^(3/2))/2000 - ((1 - 2*x)^(3/2)*(2 + 3*x)^3*(3 + 5*x)^(3/2))/20 - (7*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)*(231223 + 140652*x))/640000 + (4122385421*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(51200000*Sqrt[10])","A",7,6,26,0.2308,1,"{100, 153, 147, 50, 54, 216}"
2263,1,128,0,0.036617,"\int \sqrt{1-2 x} (2+3 x)^3 \sqrt{3+5 x} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^3*Sqrt[3 + 5*x],x]","-\frac{3}{50} (1-2 x)^{3/2} (5 x+3)^{3/2} (3 x+2)^2-\frac{21 (1-2 x)^{3/2} (5 x+3)^{3/2} (444 x+731)}{16000}-\frac{323491 (1-2 x)^{3/2} \sqrt{5 x+3}}{128000}+\frac{3558401 \sqrt{1-2 x} \sqrt{5 x+3}}{1280000}+\frac{39142411 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1280000 \sqrt{10}}","-\frac{3}{50} (1-2 x)^{3/2} (5 x+3)^{3/2} (3 x+2)^2-\frac{21 (1-2 x)^{3/2} (5 x+3)^{3/2} (444 x+731)}{16000}-\frac{323491 (1-2 x)^{3/2} \sqrt{5 x+3}}{128000}+\frac{3558401 \sqrt{1-2 x} \sqrt{5 x+3}}{1280000}+\frac{39142411 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1280000 \sqrt{10}}",1,"(3558401*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/1280000 - (323491*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/128000 - (3*(1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^(3/2))/50 - (21*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)*(731 + 444*x))/16000 + (39142411*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1280000*Sqrt[10])","A",6,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2264,1,121,0,0.0337888,"\int \sqrt{1-2 x} (2+3 x)^2 \sqrt{3+5 x} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x],x]","-\frac{3}{40} (3 x+2) (5 x+3)^{3/2} (1-2 x)^{3/2}-\frac{37}{160} (5 x+3)^{3/2} (1-2 x)^{3/2}-\frac{1313 \sqrt{5 x+3} (1-2 x)^{3/2}}{1280}+\frac{14443 \sqrt{5 x+3} \sqrt{1-2 x}}{12800}+\frac{158873 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{12800 \sqrt{10}}","-\frac{3}{40} (3 x+2) (5 x+3)^{3/2} (1-2 x)^{3/2}-\frac{37}{160} (5 x+3)^{3/2} (1-2 x)^{3/2}-\frac{1313 \sqrt{5 x+3} (1-2 x)^{3/2}}{1280}+\frac{14443 \sqrt{5 x+3} \sqrt{1-2 x}}{12800}+\frac{158873 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{12800 \sqrt{10}}",1,"(14443*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/12800 - (1313*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/1280 - (37*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/160 - (3*(1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^(3/2))/40 + (158873*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(12800*Sqrt[10])","A",6,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2265,1,94,0,0.0229561,"\int \sqrt{1-2 x} (2+3 x) \sqrt{3+5 x} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)*Sqrt[3 + 5*x],x]","-\frac{1}{10} (5 x+3)^{3/2} (1-2 x)^{3/2}-\frac{37}{80} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{407}{800} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{4477 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{800 \sqrt{10}}","-\frac{1}{10} (5 x+3)^{3/2} (1-2 x)^{3/2}-\frac{37}{80} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{407}{800} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{4477 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{800 \sqrt{10}}",1,"(407*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/800 - (37*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/80 - ((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/10 + (4477*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(800*Sqrt[10])","A",5,4,24,0.1667,1,"{80, 50, 54, 216}"
2266,1,72,0,0.0163551,"\int \sqrt{1-2 x} \sqrt{3+5 x} \, dx","Int[Sqrt[1 - 2*x]*Sqrt[3 + 5*x],x]","-\frac{1}{4} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{11}{40} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{121 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{40 \sqrt{10}}","-\frac{1}{4} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{11}{40} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{121 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{40 \sqrt{10}}",1,"(11*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/40 - ((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/4 + (121*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(40*Sqrt[10])","A",4,3,19,0.1579,1,"{50, 54, 216}"
2267,1,84,0,0.031629,"\int \frac{\sqrt{1-2 x} \sqrt{3+5 x}}{2+3 x} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2 + 3*x),x]","\frac{1}{3} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{37 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{9 \sqrt{10}}+\frac{2}{9} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{1}{3} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{37 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{9 \sqrt{10}}+\frac{2}{9} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/3 + (37*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(9*Sqrt[10]) + (2*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/9","A",6,6,26,0.2308,1,"{101, 157, 54, 216, 93, 204}"
2268,1,91,0,0.0313506,"\int \frac{\sqrt{1-2 x} \sqrt{3+5 x}}{(2+3 x)^2} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2 + 3*x)^2,x]","-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{3 (3 x+2)}-\frac{2}{9} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{37 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{9 \sqrt{7}}","-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{3 (3 x+2)}-\frac{2}{9} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{37 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{9 \sqrt{7}}",1,"-(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3*(2 + 3*x)) - (2*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/9 - (37*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(9*Sqrt[7])","A",6,6,26,0.2308,1,"{97, 157, 54, 216, 93, 204}"
2269,1,93,0,0.0215352,"\int \frac{\sqrt{1-2 x} \sqrt{3+5 x}}{(2+3 x)^3} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2 + 3*x)^3,x]","\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{2 (3 x+2)^2}-\frac{11 \sqrt{1-2 x} \sqrt{5 x+3}}{28 (3 x+2)}-\frac{121 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{28 \sqrt{7}}","\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{2 (3 x+2)^2}-\frac{11 \sqrt{1-2 x} \sqrt{5 x+3}}{28 (3 x+2)}-\frac{121 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{28 \sqrt{7}}",1,"(-11*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(28*(2 + 3*x)) + (Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(2*(2 + 3*x)^2) - (121*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(28*Sqrt[7])","A",4,3,26,0.1154,1,"{94, 93, 204}"
2270,1,122,0,0.0307649,"\int \frac{\sqrt{1-2 x} \sqrt{3+5 x}}{(2+3 x)^4} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2 + 3*x)^4,x]","\frac{37 \sqrt{1-2 x} (5 x+3)^{3/2}}{28 (3 x+2)^2}+\frac{(1-2 x)^{3/2} (5 x+3)^{3/2}}{7 (3 x+2)^3}-\frac{407 \sqrt{1-2 x} \sqrt{5 x+3}}{392 (3 x+2)}-\frac{4477 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{392 \sqrt{7}}","\frac{37 \sqrt{1-2 x} (5 x+3)^{3/2}}{28 (3 x+2)^2}+\frac{(1-2 x)^{3/2} (5 x+3)^{3/2}}{7 (3 x+2)^3}-\frac{407 \sqrt{1-2 x} \sqrt{5 x+3}}{392 (3 x+2)}-\frac{4477 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{392 \sqrt{7}}",1,"(-407*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(392*(2 + 3*x)) + ((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(7*(2 + 3*x)^3) + (37*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(28*(2 + 3*x)^2) - (4477*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(392*Sqrt[7])","A",5,4,26,0.1538,1,"{96, 94, 93, 204}"
2271,1,151,0,0.0500091,"\int \frac{\sqrt{1-2 x} \sqrt{3+5 x}}{(2+3 x)^5} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2 + 3*x)^5,x]","\frac{625115 \sqrt{1-2 x} \sqrt{5 x+3}}{197568 (3 x+2)}+\frac{6005 \sqrt{1-2 x} \sqrt{5 x+3}}{14112 (3 x+2)^2}+\frac{37 \sqrt{1-2 x} \sqrt{5 x+3}}{504 (3 x+2)^3}-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{12 (3 x+2)^4}-\frac{794365 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{21952 \sqrt{7}}","\frac{625115 \sqrt{1-2 x} \sqrt{5 x+3}}{197568 (3 x+2)}+\frac{6005 \sqrt{1-2 x} \sqrt{5 x+3}}{14112 (3 x+2)^2}+\frac{37 \sqrt{1-2 x} \sqrt{5 x+3}}{504 (3 x+2)^3}-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{12 (3 x+2)^4}-\frac{794365 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{21952 \sqrt{7}}",1,"-(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(12*(2 + 3*x)^4) + (37*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(504*(2 + 3*x)^3) + (6005*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(14112*(2 + 3*x)^2) + (625115*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(197568*(2 + 3*x)) - (794365*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(21952*Sqrt[7])","A",7,5,26,0.1923,1,"{97, 151, 12, 93, 204}"
2272,1,180,0,0.0658313,"\int \frac{\sqrt{1-2 x} \sqrt{3+5 x}}{(2+3 x)^6} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2 + 3*x)^6,x]","\frac{1466281 \sqrt{1-2 x} \sqrt{5 x+3}}{131712 (3 x+2)}+\frac{14023 \sqrt{1-2 x} \sqrt{5 x+3}}{9408 (3 x+2)^2}+\frac{403 \sqrt{1-2 x} \sqrt{5 x+3}}{1680 (3 x+2)^3}+\frac{37 \sqrt{1-2 x} \sqrt{5 x+3}}{840 (3 x+2)^4}-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{15 (3 x+2)^5}-\frac{5591773 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{43904 \sqrt{7}}","\frac{1466281 \sqrt{1-2 x} \sqrt{5 x+3}}{131712 (3 x+2)}+\frac{14023 \sqrt{1-2 x} \sqrt{5 x+3}}{9408 (3 x+2)^2}+\frac{403 \sqrt{1-2 x} \sqrt{5 x+3}}{1680 (3 x+2)^3}+\frac{37 \sqrt{1-2 x} \sqrt{5 x+3}}{840 (3 x+2)^4}-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{15 (3 x+2)^5}-\frac{5591773 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{43904 \sqrt{7}}",1,"-(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(15*(2 + 3*x)^5) + (37*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(840*(2 + 3*x)^4) + (403*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1680*(2 + 3*x)^3) + (14023*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(9408*(2 + 3*x)^2) + (1466281*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(131712*(2 + 3*x)) - (5591773*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(43904*Sqrt[7])","A",8,5,26,0.1923,1,"{97, 151, 12, 93, 204}"
2273,1,209,0,0.0805943,"\int \frac{\sqrt{1-2 x} \sqrt{3+5 x}}{(2+3 x)^7} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2 + 3*x)^7,x]","\frac{463266973 \sqrt{1-2 x} \sqrt{5 x+3}}{11063808 (3 x+2)}+\frac{4429459 \sqrt{1-2 x} \sqrt{5 x+3}}{790272 (3 x+2)^2}+\frac{126799 \sqrt{1-2 x} \sqrt{5 x+3}}{141120 (3 x+2)^3}+\frac{10921 \sqrt{1-2 x} \sqrt{5 x+3}}{70560 (3 x+2)^4}+\frac{37 \sqrt{1-2 x} \sqrt{5 x+3}}{1260 (3 x+2)^5}-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{18 (3 x+2)^6}-\frac{588912203 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1229312 \sqrt{7}}","\frac{463266973 \sqrt{1-2 x} \sqrt{5 x+3}}{11063808 (3 x+2)}+\frac{4429459 \sqrt{1-2 x} \sqrt{5 x+3}}{790272 (3 x+2)^2}+\frac{126799 \sqrt{1-2 x} \sqrt{5 x+3}}{141120 (3 x+2)^3}+\frac{10921 \sqrt{1-2 x} \sqrt{5 x+3}}{70560 (3 x+2)^4}+\frac{37 \sqrt{1-2 x} \sqrt{5 x+3}}{1260 (3 x+2)^5}-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{18 (3 x+2)^6}-\frac{588912203 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1229312 \sqrt{7}}",1,"-(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(18*(2 + 3*x)^6) + (37*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1260*(2 + 3*x)^5) + (10921*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(70560*(2 + 3*x)^4) + (126799*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(141120*(2 + 3*x)^3) + (4429459*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(790272*(2 + 3*x)^2) + (463266973*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(11063808*(2 + 3*x)) - (588912203*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1229312*Sqrt[7])","A",9,5,26,0.1923,1,"{97, 151, 12, 93, 204}"
2274,1,179,0,0.0566364,"\int \sqrt{1-2 x} (2+3 x)^4 (3+5 x)^{3/2} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^4*(3 + 5*x)^(3/2),x]","-\frac{3}{70} (1-2 x)^{3/2} (5 x+3)^{5/2} (3 x+2)^3-\frac{403 (1-2 x)^{3/2} (5 x+3)^{5/2} (3 x+2)^2}{2800}-\frac{52760369 (1-2 x)^{3/2} (5 x+3)^{3/2}}{7680000}-\frac{(1-2 x)^{3/2} (5 x+3)^{5/2} (874608 x+1480103)}{640000}-\frac{580364059 (1-2 x)^{3/2} \sqrt{5 x+3}}{20480000}+\frac{6384004649 \sqrt{1-2 x} \sqrt{5 x+3}}{204800000}+\frac{70224051139 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{204800000 \sqrt{10}}","-\frac{3}{70} (1-2 x)^{3/2} (5 x+3)^{5/2} (3 x+2)^3-\frac{403 (1-2 x)^{3/2} (5 x+3)^{5/2} (3 x+2)^2}{2800}-\frac{52760369 (1-2 x)^{3/2} (5 x+3)^{3/2}}{7680000}-\frac{(1-2 x)^{3/2} (5 x+3)^{5/2} (874608 x+1480103)}{640000}-\frac{580364059 (1-2 x)^{3/2} \sqrt{5 x+3}}{20480000}+\frac{6384004649 \sqrt{1-2 x} \sqrt{5 x+3}}{204800000}+\frac{70224051139 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{204800000 \sqrt{10}}",1,"(6384004649*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/204800000 - (580364059*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/20480000 - (52760369*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/7680000 - (403*(1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^(5/2))/2800 - (3*(1 - 2*x)^(3/2)*(2 + 3*x)^3*(3 + 5*x)^(5/2))/70 - ((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2)*(1480103 + 874608*x))/640000 + (70224051139*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(204800000*Sqrt[10])","A",8,6,26,0.2308,1,"{100, 153, 147, 50, 54, 216}"
2275,1,150,0,0.0442427,"\int \sqrt{1-2 x} (2+3 x)^3 (3+5 x)^{3/2} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^3*(3 + 5*x)^(3/2),x]","-\frac{1}{20} (1-2 x)^{3/2} (3 x+2)^2 (5 x+3)^{5/2}-\frac{7 (1-2 x)^{3/2} (2256 x+3821) (5 x+3)^{5/2}}{32000}-\frac{953981 (1-2 x)^{3/2} (5 x+3)^{3/2}}{384000}-\frac{10493791 (1-2 x)^{3/2} \sqrt{5 x+3}}{1024000}+\frac{115431701 \sqrt{1-2 x} \sqrt{5 x+3}}{10240000}+\frac{1269748711 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{10240000 \sqrt{10}}","-\frac{1}{20} (1-2 x)^{3/2} (3 x+2)^2 (5 x+3)^{5/2}-\frac{7 (1-2 x)^{3/2} (2256 x+3821) (5 x+3)^{5/2}}{32000}-\frac{953981 (1-2 x)^{3/2} (5 x+3)^{3/2}}{384000}-\frac{10493791 (1-2 x)^{3/2} \sqrt{5 x+3}}{1024000}+\frac{115431701 \sqrt{1-2 x} \sqrt{5 x+3}}{10240000}+\frac{1269748711 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{10240000 \sqrt{10}}",1,"(115431701*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/10240000 - (10493791*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/1024000 - (953981*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/384000 - ((1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^(5/2))/20 - (7*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2)*(3821 + 2256*x))/32000 + (1269748711*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(10240000*Sqrt[10])","A",7,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2276,1,143,0,0.0413263,"\int \sqrt{1-2 x} (2+3 x)^2 (3+5 x)^{3/2} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(3/2),x]","-\frac{153}{800} (1-2 x)^{3/2} (5 x+3)^{5/2}-\frac{3}{50} (1-2 x)^{3/2} (3 x+2) (5 x+3)^{5/2}-\frac{9007 (1-2 x)^{3/2} (5 x+3)^{3/2}}{9600}-\frac{99077 (1-2 x)^{3/2} \sqrt{5 x+3}}{25600}+\frac{1089847 \sqrt{1-2 x} \sqrt{5 x+3}}{256000}+\frac{11988317 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{256000 \sqrt{10}}","-\frac{153}{800} (1-2 x)^{3/2} (5 x+3)^{5/2}-\frac{3}{50} (1-2 x)^{3/2} (3 x+2) (5 x+3)^{5/2}-\frac{9007 (1-2 x)^{3/2} (5 x+3)^{3/2}}{9600}-\frac{99077 (1-2 x)^{3/2} \sqrt{5 x+3}}{25600}+\frac{1089847 \sqrt{1-2 x} \sqrt{5 x+3}}{256000}+\frac{11988317 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{256000 \sqrt{10}}",1,"(1089847*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/256000 - (99077*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/25600 - (9007*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/9600 - (153*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/800 - (3*(1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^(5/2))/50 + (11988317*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(256000*Sqrt[10])","A",7,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2277,1,116,0,0.0287285,"\int \sqrt{1-2 x} (2+3 x) (3+5 x)^{3/2} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^(3/2),x]","-\frac{3}{40} (1-2 x)^{3/2} (5 x+3)^{5/2}-\frac{181}{480} (1-2 x)^{3/2} (5 x+3)^{3/2}-\frac{1991 (1-2 x)^{3/2} \sqrt{5 x+3}}{1280}+\frac{21901 \sqrt{1-2 x} \sqrt{5 x+3}}{12800}+\frac{240911 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{12800 \sqrt{10}}","-\frac{3}{40} (1-2 x)^{3/2} (5 x+3)^{5/2}-\frac{181}{480} (1-2 x)^{3/2} (5 x+3)^{3/2}-\frac{1991 (1-2 x)^{3/2} \sqrt{5 x+3}}{1280}+\frac{21901 \sqrt{1-2 x} \sqrt{5 x+3}}{12800}+\frac{240911 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{12800 \sqrt{10}}",1,"(21901*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/12800 - (1991*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/1280 - (181*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/480 - (3*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/40 + (240911*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(12800*Sqrt[10])","A",6,4,24,0.1667,1,"{80, 50, 54, 216}"
2278,1,94,0,0.0242791,"\int \sqrt{1-2 x} (3+5 x)^{3/2} \, dx","Int[Sqrt[1 - 2*x]*(3 + 5*x)^(3/2),x]","-\frac{1}{6} (5 x+3)^{3/2} (1-2 x)^{3/2}-\frac{11}{16} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{121}{160} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{1331 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{160 \sqrt{10}}","-\frac{1}{6} (5 x+3)^{3/2} (1-2 x)^{3/2}-\frac{11}{16} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{121}{160} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{1331 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{160 \sqrt{10}}",1,"(121*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/160 - (11*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/16 - ((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/6 + (1331*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(160*Sqrt[10])","A",5,3,19,0.1579,1,"{50, 54, 216}"
2279,1,106,0,0.0403403,"\int \frac{\sqrt{1-2 x} (3+5 x)^{3/2}}{2+3 x} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(2 + 3*x),x]","\frac{1}{6} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{41}{72} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{793 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{216 \sqrt{10}}-\frac{2}{27} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{1}{6} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{41}{72} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{793 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{216 \sqrt{10}}-\frac{2}{27} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-41*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/72 + (Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/6 + (793*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(216*Sqrt[10]) - (2*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/27","A",7,7,26,0.2692,1,"{101, 154, 157, 54, 216, 93, 204}"
2280,1,115,0,0.0405832,"\int \frac{\sqrt{1-2 x} (3+5 x)^{3/2}}{(2+3 x)^2} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(2 + 3*x)^2,x]","-\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{3 (3 x+2)}+\frac{10}{9} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{41}{27} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{107 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{27 \sqrt{7}}","-\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{3 (3 x+2)}+\frac{10}{9} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{41}{27} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{107 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{27 \sqrt{7}}",1,"(10*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/9 - (Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(3*(2 + 3*x)) + (41*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/27 + (107*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(27*Sqrt[7])","A",7,7,26,0.2692,1,"{97, 154, 157, 54, 216, 93, 204}"
2281,1,120,0,0.0402038,"\int \frac{\sqrt{1-2 x} (3+5 x)^{3/2}}{(2+3 x)^3} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(2 + 3*x)^3,x]","-\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{6 (3 x+2)^2}-\frac{107 \sqrt{1-2 x} \sqrt{5 x+3}}{252 (3 x+2)}-\frac{10}{27} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{4091 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{756 \sqrt{7}}","-\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{6 (3 x+2)^2}-\frac{107 \sqrt{1-2 x} \sqrt{5 x+3}}{252 (3 x+2)}-\frac{10}{27} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{4091 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{756 \sqrt{7}}",1,"(-107*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(252*(2 + 3*x)) - (Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(6*(2 + 3*x)^2) - (10*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/27 - (4091*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(756*Sqrt[7])","A",7,7,26,0.2692,1,"{97, 149, 157, 54, 216, 93, 204}"
2282,1,122,0,0.029413,"\int \frac{\sqrt{1-2 x} (3+5 x)^{3/2}}{(2+3 x)^4} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(2 + 3*x)^4,x]","\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{3 (3 x+2)^3}-\frac{11 \sqrt{1-2 x} (5 x+3)^{3/2}}{84 (3 x+2)^2}-\frac{121 \sqrt{1-2 x} \sqrt{5 x+3}}{392 (3 x+2)}-\frac{1331 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{392 \sqrt{7}}","\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{3 (3 x+2)^3}-\frac{11 \sqrt{1-2 x} (5 x+3)^{3/2}}{84 (3 x+2)^2}-\frac{121 \sqrt{1-2 x} \sqrt{5 x+3}}{392 (3 x+2)}-\frac{1331 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{392 \sqrt{7}}",1,"(-121*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(392*(2 + 3*x)) - (11*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(84*(2 + 3*x)^2) + (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(3*(2 + 3*x)^3) - (1331*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(392*Sqrt[7])","A",5,3,26,0.1154,1,"{94, 93, 204}"
2283,1,151,0,0.0430622,"\int \frac{\sqrt{1-2 x} (3+5 x)^{3/2}}{(2+3 x)^5} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(2 + 3*x)^5,x]","\frac{115 \sqrt{1-2 x} (5 x+3)^{5/2}}{168 (3 x+2)^3}+\frac{3 (1-2 x)^{3/2} (5 x+3)^{5/2}}{28 (3 x+2)^4}-\frac{1265 \sqrt{1-2 x} (5 x+3)^{3/2}}{4704 (3 x+2)^2}-\frac{13915 \sqrt{1-2 x} \sqrt{5 x+3}}{21952 (3 x+2)}-\frac{153065 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{21952 \sqrt{7}}","\frac{115 \sqrt{1-2 x} (5 x+3)^{5/2}}{168 (3 x+2)^3}+\frac{3 (1-2 x)^{3/2} (5 x+3)^{5/2}}{28 (3 x+2)^4}-\frac{1265 \sqrt{1-2 x} (5 x+3)^{3/2}}{4704 (3 x+2)^2}-\frac{13915 \sqrt{1-2 x} \sqrt{5 x+3}}{21952 (3 x+2)}-\frac{153065 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{21952 \sqrt{7}}",1,"(-13915*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(21952*(2 + 3*x)) - (1265*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(4704*(2 + 3*x)^2) + (3*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(28*(2 + 3*x)^4) + (115*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(168*(2 + 3*x)^3) - (153065*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(21952*Sqrt[7])","A",6,4,26,0.1538,1,"{96, 94, 93, 204}"
2284,1,180,0,0.0637865,"\int \frac{\sqrt{1-2 x} (3+5 x)^{3/2}}{(2+3 x)^6} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(2 + 3*x)^6,x]","-\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{15 (3 x+2)^5}+\frac{1852307 \sqrt{1-2 x} \sqrt{5 x+3}}{1185408 (3 x+2)}+\frac{17981 \sqrt{1-2 x} \sqrt{5 x+3}}{84672 (3 x+2)^2}+\frac{641 \sqrt{1-2 x} \sqrt{5 x+3}}{15120 (3 x+2)^3}-\frac{107 \sqrt{1-2 x} \sqrt{5 x+3}}{2520 (3 x+2)^4}-\frac{783959 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{43904 \sqrt{7}}","-\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{15 (3 x+2)^5}+\frac{1852307 \sqrt{1-2 x} \sqrt{5 x+3}}{1185408 (3 x+2)}+\frac{17981 \sqrt{1-2 x} \sqrt{5 x+3}}{84672 (3 x+2)^2}+\frac{641 \sqrt{1-2 x} \sqrt{5 x+3}}{15120 (3 x+2)^3}-\frac{107 \sqrt{1-2 x} \sqrt{5 x+3}}{2520 (3 x+2)^4}-\frac{783959 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{43904 \sqrt{7}}",1,"(-107*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2520*(2 + 3*x)^4) + (641*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(15120*(2 + 3*x)^3) + (17981*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(84672*(2 + 3*x)^2) + (1852307*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1185408*(2 + 3*x)) - (Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(15*(2 + 3*x)^5) - (783959*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(43904*Sqrt[7])","A",8,6,26,0.2308,1,"{97, 149, 151, 12, 93, 204}"
2285,1,209,0,0.0815376,"\int \frac{\sqrt{1-2 x} (3+5 x)^{3/2}}{(2+3 x)^7} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(2 + 3*x)^7,x]","-\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{18 (3 x+2)^6}+\frac{152571047 \sqrt{1-2 x} \sqrt{5 x+3}}{33191424 (3 x+2)}+\frac{1460201 \sqrt{1-2 x} \sqrt{5 x+3}}{2370816 (3 x+2)^2}+\frac{42461 \sqrt{1-2 x} \sqrt{5 x+3}}{423360 (3 x+2)^3}+\frac{4619 \sqrt{1-2 x} \sqrt{5 x+3}}{211680 (3 x+2)^4}-\frac{107 \sqrt{1-2 x} \sqrt{5 x+3}}{3780 (3 x+2)^5}-\frac{64645339 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1229312 \sqrt{7}}","-\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{18 (3 x+2)^6}+\frac{152571047 \sqrt{1-2 x} \sqrt{5 x+3}}{33191424 (3 x+2)}+\frac{1460201 \sqrt{1-2 x} \sqrt{5 x+3}}{2370816 (3 x+2)^2}+\frac{42461 \sqrt{1-2 x} \sqrt{5 x+3}}{423360 (3 x+2)^3}+\frac{4619 \sqrt{1-2 x} \sqrt{5 x+3}}{211680 (3 x+2)^4}-\frac{107 \sqrt{1-2 x} \sqrt{5 x+3}}{3780 (3 x+2)^5}-\frac{64645339 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1229312 \sqrt{7}}",1,"(-107*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3780*(2 + 3*x)^5) + (4619*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(211680*(2 + 3*x)^4) + (42461*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(423360*(2 + 3*x)^3) + (1460201*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2370816*(2 + 3*x)^2) + (152571047*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(33191424*(2 + 3*x)) - (Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(18*(2 + 3*x)^6) - (64645339*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1229312*Sqrt[7])","A",9,6,26,0.2308,1,"{97, 149, 151, 12, 93, 204}"
2286,1,201,0,0.0663079,"\int \sqrt{1-2 x} (2+3 x)^4 (3+5 x)^{5/2} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^4*(3 + 5*x)^(5/2),x]","-\frac{3}{80} (1-2 x)^{3/2} (3 x+2)^3 (5 x+3)^{7/2}-\frac{1419 (1-2 x)^{3/2} (3 x+2)^2 (5 x+3)^{7/2}}{11200}-\frac{3 (1-2 x)^{3/2} (522420 x+899099) (5 x+3)^{7/2}}{1280000}-\frac{135817609 (1-2 x)^{3/2} (5 x+3)^{5/2}}{20480000}-\frac{1493993699 (1-2 x)^{3/2} (5 x+3)^{3/2}}{49152000}-\frac{16433930689 (1-2 x)^{3/2} \sqrt{5 x+3}}{131072000}+\frac{180773237579 \sqrt{1-2 x} \sqrt{5 x+3}}{1310720000}+\frac{1988505613369 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1310720000 \sqrt{10}}","-\frac{3}{80} (1-2 x)^{3/2} (3 x+2)^3 (5 x+3)^{7/2}-\frac{1419 (1-2 x)^{3/2} (3 x+2)^2 (5 x+3)^{7/2}}{11200}-\frac{3 (1-2 x)^{3/2} (522420 x+899099) (5 x+3)^{7/2}}{1280000}-\frac{135817609 (1-2 x)^{3/2} (5 x+3)^{5/2}}{20480000}-\frac{1493993699 (1-2 x)^{3/2} (5 x+3)^{3/2}}{49152000}-\frac{16433930689 (1-2 x)^{3/2} \sqrt{5 x+3}}{131072000}+\frac{180773237579 \sqrt{1-2 x} \sqrt{5 x+3}}{1310720000}+\frac{1988505613369 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1310720000 \sqrt{10}}",1,"(180773237579*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/1310720000 - (16433930689*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/131072000 - (1493993699*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/49152000 - (135817609*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/20480000 - (1419*(1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^(7/2))/11200 - (3*(1 - 2*x)^(3/2)*(2 + 3*x)^3*(3 + 5*x)^(7/2))/80 - (3*(1 - 2*x)^(3/2)*(3 + 5*x)^(7/2)*(899099 + 522420*x))/1280000 + (1988505613369*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1310720000*Sqrt[10])","A",9,6,26,0.2308,1,"{100, 153, 147, 50, 54, 216}"
2287,1,172,0,0.0526206,"\int \sqrt{1-2 x} (2+3 x)^3 (3+5 x)^{5/2} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^3*(3 + 5*x)^(5/2),x]","-\frac{3}{70} (1-2 x)^{3/2} (3 x+2)^2 (5 x+3)^{7/2}-\frac{3 (1-2 x)^{3/2} (1140 x+1963) (5 x+3)^{7/2}}{8000}-\frac{296633 (1-2 x)^{3/2} (5 x+3)^{5/2}}{128000}-\frac{3262963 (1-2 x)^{3/2} (5 x+3)^{3/2}}{307200}-\frac{35892593 (1-2 x)^{3/2} \sqrt{5 x+3}}{819200}+\frac{394818523 \sqrt{1-2 x} \sqrt{5 x+3}}{8192000}+\frac{4343003753 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{8192000 \sqrt{10}}","-\frac{3}{70} (1-2 x)^{3/2} (3 x+2)^2 (5 x+3)^{7/2}-\frac{3 (1-2 x)^{3/2} (1140 x+1963) (5 x+3)^{7/2}}{8000}-\frac{296633 (1-2 x)^{3/2} (5 x+3)^{5/2}}{128000}-\frac{3262963 (1-2 x)^{3/2} (5 x+3)^{3/2}}{307200}-\frac{35892593 (1-2 x)^{3/2} \sqrt{5 x+3}}{819200}+\frac{394818523 \sqrt{1-2 x} \sqrt{5 x+3}}{8192000}+\frac{4343003753 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{8192000 \sqrt{10}}",1,"(394818523*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/8192000 - (35892593*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/819200 - (3262963*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/307200 - (296633*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/128000 - (3*(1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^(7/2))/70 - (3*(1 - 2*x)^(3/2)*(3 + 5*x)^(7/2)*(1963 + 1140*x))/8000 + (4343003753*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(8192000*Sqrt[10])","A",8,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2288,1,165,0,0.0488844,"\int \sqrt{1-2 x} (2+3 x)^2 (3+5 x)^{5/2} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(5/2),x]","-\frac{13}{80} (1-2 x)^{3/2} (5 x+3)^{7/2}-\frac{1}{20} (1-2 x)^{3/2} (3 x+2) (5 x+3)^{7/2}-\frac{1069 (1-2 x)^{3/2} (5 x+3)^{5/2}}{1280}-\frac{11759 (1-2 x)^{3/2} (5 x+3)^{3/2}}{3072}-\frac{129349 (1-2 x)^{3/2} \sqrt{5 x+3}}{8192}+\frac{1422839 \sqrt{1-2 x} \sqrt{5 x+3}}{81920}+\frac{15651229 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{81920 \sqrt{10}}","-\frac{13}{80} (1-2 x)^{3/2} (5 x+3)^{7/2}-\frac{1}{20} (1-2 x)^{3/2} (3 x+2) (5 x+3)^{7/2}-\frac{1069 (1-2 x)^{3/2} (5 x+3)^{5/2}}{1280}-\frac{11759 (1-2 x)^{3/2} (5 x+3)^{3/2}}{3072}-\frac{129349 (1-2 x)^{3/2} \sqrt{5 x+3}}{8192}+\frac{1422839 \sqrt{1-2 x} \sqrt{5 x+3}}{81920}+\frac{15651229 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{81920 \sqrt{10}}",1,"(1422839*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/81920 - (129349*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/8192 - (11759*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/3072 - (1069*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/1280 - (13*(1 - 2*x)^(3/2)*(3 + 5*x)^(7/2))/80 - ((1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^(7/2))/20 + (15651229*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(81920*Sqrt[10])","A",8,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2289,1,138,0,0.0377051,"\int \sqrt{1-2 x} (2+3 x) (3+5 x)^{5/2} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^(5/2),x]","-\frac{3}{50} (1-2 x)^{3/2} (5 x+3)^{7/2}-\frac{251}{800} (1-2 x)^{3/2} (5 x+3)^{5/2}-\frac{2761 (1-2 x)^{3/2} (5 x+3)^{3/2}}{1920}-\frac{30371 (1-2 x)^{3/2} \sqrt{5 x+3}}{5120}+\frac{334081 \sqrt{1-2 x} \sqrt{5 x+3}}{51200}+\frac{3674891 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{51200 \sqrt{10}}","-\frac{3}{50} (1-2 x)^{3/2} (5 x+3)^{7/2}-\frac{251}{800} (1-2 x)^{3/2} (5 x+3)^{5/2}-\frac{2761 (1-2 x)^{3/2} (5 x+3)^{3/2}}{1920}-\frac{30371 (1-2 x)^{3/2} \sqrt{5 x+3}}{5120}+\frac{334081 \sqrt{1-2 x} \sqrt{5 x+3}}{51200}+\frac{3674891 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{51200 \sqrt{10}}",1,"(334081*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/51200 - (30371*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/5120 - (2761*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/1920 - (251*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/800 - (3*(1 - 2*x)^(3/2)*(3 + 5*x)^(7/2))/50 + (3674891*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(51200*Sqrt[10])","A",7,4,24,0.1667,1,"{80, 50, 54, 216}"
2290,1,116,0,0.0289834,"\int \sqrt{1-2 x} (3+5 x)^{5/2} \, dx","Int[Sqrt[1 - 2*x]*(3 + 5*x)^(5/2),x]","-\frac{1}{8} (1-2 x)^{3/2} (5 x+3)^{5/2}-\frac{55}{96} (1-2 x)^{3/2} (5 x+3)^{3/2}-\frac{605}{256} (1-2 x)^{3/2} \sqrt{5 x+3}+\frac{1331}{512} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{14641 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{512 \sqrt{10}}","-\frac{1}{8} (1-2 x)^{3/2} (5 x+3)^{5/2}-\frac{55}{96} (1-2 x)^{3/2} (5 x+3)^{3/2}-\frac{605}{256} (1-2 x)^{3/2} \sqrt{5 x+3}+\frac{1331}{512} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{14641 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{512 \sqrt{10}}",1,"(1331*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/512 - (605*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/256 - (55*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/96 - ((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/8 + (14641*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(512*Sqrt[10])","A",6,3,19,0.1579,1,"{50, 54, 216}"
2291,1,130,0,0.0518948,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{2+3 x} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2 + 3*x),x]","\frac{1}{9} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{5}{24} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{925}{864} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{6553 \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2592}+\frac{2}{81} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{1}{9} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{5}{24} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{925}{864} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{6553 \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2592}+\frac{2}{81} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-925*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/864 - (5*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/24 + (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/9 + (6553*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/2592 + (2*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/81","A",8,7,26,0.2692,1,"{101, 154, 157, 54, 216, 93, 204}"
2292,1,137,0,0.0512806,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{(2+3 x)^2} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2 + 3*x)^2,x]","-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{3 (3 x+2)}+\frac{5}{6} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{95}{72} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{155}{216} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{59 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{27 \sqrt{7}}","-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{3 (3 x+2)}+\frac{5}{6} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{95}{72} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{155}{216} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{59 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{27 \sqrt{7}}",1,"(-95*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/72 + (5*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/6 - (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(3*(2 + 3*x)) + (155*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/216 - (59*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(27*Sqrt[7])","A",8,7,26,0.2692,1,"{97, 154, 157, 54, 216, 93, 204}"
2293,1,144,0,0.0536854,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{(2+3 x)^3} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2 + 3*x)^3,x]","-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{6 (3 x+2)^2}-\frac{59 \sqrt{1-2 x} (5 x+3)^{3/2}}{84 (3 x+2)}+\frac{215}{84} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{25}{9} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{2119 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{252 \sqrt{7}}","-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{6 (3 x+2)^2}-\frac{59 \sqrt{1-2 x} (5 x+3)^{3/2}}{84 (3 x+2)}+\frac{215}{84} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{25}{9} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{2119 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{252 \sqrt{7}}",1,"(215*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/84 - (59*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(84*(2 + 3*x)) - (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(6*(2 + 3*x)^2) + (25*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/9 + (2119*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(252*Sqrt[7])","A",8,8,26,0.3077,1,"{97, 149, 154, 157, 54, 216, 93, 204}"
2294,1,149,0,0.053743,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{(2+3 x)^4} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2 + 3*x)^4,x]","-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{9 (3 x+2)^3}-\frac{59 \sqrt{1-2 x} (5 x+3)^{3/2}}{252 (3 x+2)^2}-\frac{6401 \sqrt{1-2 x} \sqrt{5 x+3}}{10584 (3 x+2)}-\frac{50}{81} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{250433 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{31752 \sqrt{7}}","-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{9 (3 x+2)^3}-\frac{59 \sqrt{1-2 x} (5 x+3)^{3/2}}{252 (3 x+2)^2}-\frac{6401 \sqrt{1-2 x} \sqrt{5 x+3}}{10584 (3 x+2)}-\frac{50}{81} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{250433 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{31752 \sqrt{7}}",1,"(-6401*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(10584*(2 + 3*x)) - (59*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(252*(2 + 3*x)^2) - (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(9*(2 + 3*x)^3) - (50*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/81 - (250433*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(31752*Sqrt[7])","A",8,7,26,0.2692,1,"{97, 149, 157, 54, 216, 93, 204}"
2295,1,151,0,0.0395227,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{(2+3 x)^5} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2 + 3*x)^5,x]","\frac{\sqrt{1-2 x} (5 x+3)^{7/2}}{4 (3 x+2)^4}-\frac{11 \sqrt{1-2 x} (5 x+3)^{5/2}}{168 (3 x+2)^3}-\frac{605 \sqrt{1-2 x} (5 x+3)^{3/2}}{4704 (3 x+2)^2}-\frac{6655 \sqrt{1-2 x} \sqrt{5 x+3}}{21952 (3 x+2)}-\frac{73205 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{21952 \sqrt{7}}","\frac{\sqrt{1-2 x} (5 x+3)^{7/2}}{4 (3 x+2)^4}-\frac{11 \sqrt{1-2 x} (5 x+3)^{5/2}}{168 (3 x+2)^3}-\frac{605 \sqrt{1-2 x} (5 x+3)^{3/2}}{4704 (3 x+2)^2}-\frac{6655 \sqrt{1-2 x} \sqrt{5 x+3}}{21952 (3 x+2)}-\frac{73205 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{21952 \sqrt{7}}",1,"(-6655*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(21952*(2 + 3*x)) - (605*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(4704*(2 + 3*x)^2) - (11*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(168*(2 + 3*x)^3) + (Sqrt[1 - 2*x]*(3 + 5*x)^(7/2))/(4*(2 + 3*x)^4) - (73205*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(21952*Sqrt[7])","A",6,3,26,0.1154,1,"{94, 93, 204}"
2296,1,180,0,0.0556498,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{(2+3 x)^6} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2 + 3*x)^6,x]","\frac{17 \sqrt{1-2 x} (5 x+3)^{7/2}}{40 (3 x+2)^4}+\frac{3 (1-2 x)^{3/2} (5 x+3)^{7/2}}{35 (3 x+2)^5}-\frac{187 \sqrt{1-2 x} (5 x+3)^{5/2}}{1680 (3 x+2)^3}-\frac{2057 \sqrt{1-2 x} (5 x+3)^{3/2}}{9408 (3 x+2)^2}-\frac{22627 \sqrt{1-2 x} \sqrt{5 x+3}}{43904 (3 x+2)}-\frac{248897 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{43904 \sqrt{7}}","\frac{17 \sqrt{1-2 x} (5 x+3)^{7/2}}{40 (3 x+2)^4}+\frac{3 (1-2 x)^{3/2} (5 x+3)^{7/2}}{35 (3 x+2)^5}-\frac{187 \sqrt{1-2 x} (5 x+3)^{5/2}}{1680 (3 x+2)^3}-\frac{2057 \sqrt{1-2 x} (5 x+3)^{3/2}}{9408 (3 x+2)^2}-\frac{22627 \sqrt{1-2 x} \sqrt{5 x+3}}{43904 (3 x+2)}-\frac{248897 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{43904 \sqrt{7}}",1,"(-22627*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(43904*(2 + 3*x)) - (2057*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(9408*(2 + 3*x)^2) - (187*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(1680*(2 + 3*x)^3) + (3*(1 - 2*x)^(3/2)*(3 + 5*x)^(7/2))/(35*(2 + 3*x)^5) + (17*Sqrt[1 - 2*x]*(3 + 5*x)^(7/2))/(40*(2 + 3*x)^4) - (248897*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(43904*Sqrt[7])","A",7,4,26,0.1538,1,"{96, 94, 93, 204}"
2297,1,209,0,0.0770332,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{(2+3 x)^7} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2 + 3*x)^7,x]","-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{18 (3 x+2)^6}-\frac{59 \sqrt{1-2 x} (5 x+3)^{3/2}}{1260 (3 x+2)^5}+\frac{106751933 \sqrt{1-2 x} \sqrt{5 x+3}}{99574272 (3 x+2)}+\frac{1057139 \sqrt{1-2 x} \sqrt{5 x+3}}{7112448 (3 x+2)^2}+\frac{47279 \sqrt{1-2 x} \sqrt{5 x+3}}{1270080 (3 x+2)^3}-\frac{6533 \sqrt{1-2 x} \sqrt{5 x+3}}{211680 (3 x+2)^4}-\frac{15036307 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1229312 \sqrt{7}}","-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{18 (3 x+2)^6}-\frac{59 \sqrt{1-2 x} (5 x+3)^{3/2}}{1260 (3 x+2)^5}+\frac{106751933 \sqrt{1-2 x} \sqrt{5 x+3}}{99574272 (3 x+2)}+\frac{1057139 \sqrt{1-2 x} \sqrt{5 x+3}}{7112448 (3 x+2)^2}+\frac{47279 \sqrt{1-2 x} \sqrt{5 x+3}}{1270080 (3 x+2)^3}-\frac{6533 \sqrt{1-2 x} \sqrt{5 x+3}}{211680 (3 x+2)^4}-\frac{15036307 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1229312 \sqrt{7}}",1,"(-6533*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(211680*(2 + 3*x)^4) + (47279*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1270080*(2 + 3*x)^3) + (1057139*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(7112448*(2 + 3*x)^2) + (106751933*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(99574272*(2 + 3*x)) - (59*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(1260*(2 + 3*x)^5) - (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(18*(2 + 3*x)^6) - (15036307*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1229312*Sqrt[7])","A",9,6,26,0.2308,1,"{97, 149, 151, 12, 93, 204}"
2298,1,238,0,0.0999778,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{(2+3 x)^8} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2 + 3*x)^8,x]","-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{21 (3 x+2)^7}-\frac{59 \sqrt{1-2 x} (5 x+3)^{3/2}}{1764 (3 x+2)^6}+\frac{8818415317 \sqrt{1-2 x} \sqrt{5 x+3}}{3252759552 (3 x+2)}+\frac{84539611 \sqrt{1-2 x} \sqrt{5 x+3}}{232339968 (3 x+2)^2}+\frac{2524471 \sqrt{1-2 x} \sqrt{5 x+3}}{41489280 (3 x+2)^3}+\frac{369409 \sqrt{1-2 x} \sqrt{5 x+3}}{20744640 (3 x+2)^4}-\frac{6577 \sqrt{1-2 x} \sqrt{5 x+3}}{370440 (3 x+2)^5}-\frac{3735929329 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{120472576 \sqrt{7}}","-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{21 (3 x+2)^7}-\frac{59 \sqrt{1-2 x} (5 x+3)^{3/2}}{1764 (3 x+2)^6}+\frac{8818415317 \sqrt{1-2 x} \sqrt{5 x+3}}{3252759552 (3 x+2)}+\frac{84539611 \sqrt{1-2 x} \sqrt{5 x+3}}{232339968 (3 x+2)^2}+\frac{2524471 \sqrt{1-2 x} \sqrt{5 x+3}}{41489280 (3 x+2)^3}+\frac{369409 \sqrt{1-2 x} \sqrt{5 x+3}}{20744640 (3 x+2)^4}-\frac{6577 \sqrt{1-2 x} \sqrt{5 x+3}}{370440 (3 x+2)^5}-\frac{3735929329 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{120472576 \sqrt{7}}",1,"(-6577*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(370440*(2 + 3*x)^5) + (369409*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(20744640*(2 + 3*x)^4) + (2524471*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(41489280*(2 + 3*x)^3) + (84539611*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(232339968*(2 + 3*x)^2) + (8818415317*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3252759552*(2 + 3*x)) - (59*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(1764*(2 + 3*x)^6) - (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(21*(2 + 3*x)^7) - (3735929329*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(120472576*Sqrt[7])","A",10,6,26,0.2308,1,"{97, 149, 151, 12, 93, 204}"
2299,1,119,0,0.1185921,"\int \frac{\sqrt{a+b x}}{\sqrt{c+d x} (e+f x)} \, dx","Int[Sqrt[a + b*x]/(Sqrt[c + d*x]*(e + f*x)),x]","\frac{2 \sqrt{b} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{d} f}-\frac{2 \sqrt{b e-a f} \tanh ^{-1}\left(\frac{\sqrt{a+b x} \sqrt{d e-c f}}{\sqrt{c+d x} \sqrt{b e-a f}}\right)}{f \sqrt{d e-c f}}","\frac{2 \sqrt{b} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{d} f}-\frac{2 \sqrt{b e-a f} \tanh ^{-1}\left(\frac{\sqrt{a+b x} \sqrt{d e-c f}}{\sqrt{c+d x} \sqrt{b e-a f}}\right)}{f \sqrt{d e-c f}}",1,"(2*Sqrt[b]*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(Sqrt[d]*f) - (2*Sqrt[b*e - a*f]*ArcTanh[(Sqrt[d*e - c*f]*Sqrt[a + b*x])/(Sqrt[b*e - a*f]*Sqrt[c + d*x])])/(f*Sqrt[d*e - c*f])","A",6,6,26,0.2308,1,"{105, 63, 217, 206, 93, 208}"
2300,1,119,0,0.072831,"\int \frac{\sqrt{c+d x}}{\sqrt{a+b x} (e+f x)} \, dx","Int[Sqrt[c + d*x]/(Sqrt[a + b*x]*(e + f*x)),x]","\frac{2 \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} f}-\frac{2 \sqrt{d e-c f} \tanh ^{-1}\left(\frac{\sqrt{a+b x} \sqrt{d e-c f}}{\sqrt{c+d x} \sqrt{b e-a f}}\right)}{f \sqrt{b e-a f}}","\frac{2 \sqrt{d} \tanh ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{b} \sqrt{c+d x}}\right)}{\sqrt{b} f}-\frac{2 \sqrt{d e-c f} \tanh ^{-1}\left(\frac{\sqrt{a+b x} \sqrt{d e-c f}}{\sqrt{c+d x} \sqrt{b e-a f}}\right)}{f \sqrt{b e-a f}}",1,"(2*Sqrt[d]*ArcTanh[(Sqrt[d]*Sqrt[a + b*x])/(Sqrt[b]*Sqrt[c + d*x])])/(Sqrt[b]*f) - (2*Sqrt[d*e - c*f]*ArcTanh[(Sqrt[d*e - c*f]*Sqrt[a + b*x])/(Sqrt[b*e - a*f]*Sqrt[c + d*x])])/(f*Sqrt[b*e - a*f])","A",6,6,26,0.2308,1,"{105, 63, 217, 206, 93, 208}"
2301,1,106,0,0.0259666,"\int \frac{\sqrt{1-2 x} (2+3 x)^3}{\sqrt{3+5 x}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^3)/Sqrt[3 + 5*x],x]","-\frac{3}{40} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^2-\frac{21 (1-2 x)^{3/2} \sqrt{5 x+3} (216 x+335)}{6400}+\frac{47761 \sqrt{1-2 x} \sqrt{5 x+3}}{64000}+\frac{525371 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{64000 \sqrt{10}}","-\frac{3}{40} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^2-\frac{21 (1-2 x)^{3/2} \sqrt{5 x+3} (216 x+335)}{6400}+\frac{47761 \sqrt{1-2 x} \sqrt{5 x+3}}{64000}+\frac{525371 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{64000 \sqrt{10}}",1,"(47761*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/64000 - (3*(1 - 2*x)^(3/2)*(2 + 3*x)^2*Sqrt[3 + 5*x])/40 - (21*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]*(335 + 216*x))/6400 + (525371*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(64000*Sqrt[10])","A",5,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2302,1,99,0,0.0253946,"\int \frac{\sqrt{1-2 x} (2+3 x)^2}{\sqrt{3+5 x}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^2)/Sqrt[3 + 5*x],x]","-\frac{1}{10} (3 x+2) \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{23}{80} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{277}{800} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{3047 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{800 \sqrt{10}}","-\frac{1}{10} (3 x+2) \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{23}{80} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{277}{800} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{3047 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{800 \sqrt{10}}",1,"(277*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/800 - (23*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/80 - ((1 - 2*x)^(3/2)*(2 + 3*x)*Sqrt[3 + 5*x])/10 + (3047*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(800*Sqrt[10])","A",5,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2303,1,72,0,0.0154829,"\int \frac{\sqrt{1-2 x} (2+3 x)}{\sqrt{3+5 x}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x))/Sqrt[3 + 5*x],x]","-\frac{3}{20} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{41}{200} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{451 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{200 \sqrt{10}}","-\frac{3}{20} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{41}{200} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{451 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{200 \sqrt{10}}",1,"(41*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/200 - (3*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/20 + (451*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(200*Sqrt[10])","A",4,4,24,0.1667,1,"{80, 50, 54, 216}"
2304,1,50,0,0.0097355,"\int \frac{\sqrt{1-2 x}}{\sqrt{3+5 x}} \, dx","Int[Sqrt[1 - 2*x]/Sqrt[3 + 5*x],x]","\frac{1}{5} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{11 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5 \sqrt{10}}","\frac{1}{5} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{11 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5 \sqrt{10}}",1,"(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/5 + (11*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(5*Sqrt[10])","A",3,3,19,0.1579,1,"{50, 54, 216}"
2305,1,64,0,0.0203976,"\int \frac{\sqrt{1-2 x}}{(2+3 x) \sqrt{3+5 x}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)*Sqrt[3 + 5*x]),x]","-\frac{2}{3} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{2}{3} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{2}{3} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{2}{3} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-2*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/3 - (2*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/3","A",5,5,26,0.1923,1,"{105, 54, 216, 93, 204}"
2306,1,59,0,0.0123749,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^2 \sqrt{3+5 x}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^2*Sqrt[3 + 5*x]),x]","\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{3 x+2}-\frac{11 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{\sqrt{7}}","\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{3 x+2}-\frac{11 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{\sqrt{7}}",1,"(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2 + 3*x) - (11*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/Sqrt[7]","A",3,3,26,0.1154,1,"{94, 93, 204}"
2307,1,93,0,0.0203105,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^3 \sqrt{3+5 x}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^3*Sqrt[3 + 5*x]),x]","\frac{3 \sqrt{5 x+3} (1-2 x)^{3/2}}{14 (3 x+2)^2}+\frac{107 \sqrt{5 x+3} \sqrt{1-2 x}}{28 (3 x+2)}-\frac{1177 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{28 \sqrt{7}}","\frac{3 \sqrt{5 x+3} (1-2 x)^{3/2}}{14 (3 x+2)^2}+\frac{107 \sqrt{5 x+3} \sqrt{1-2 x}}{28 (3 x+2)}-\frac{1177 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{28 \sqrt{7}}",1,"(3*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(14*(2 + 3*x)^2) + (107*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(28*(2 + 3*x)) - (1177*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(28*Sqrt[7])","A",4,4,26,0.1538,1,"{96, 94, 93, 204}"
2308,1,122,0,0.0365923,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^4 \sqrt{3+5 x}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^4*Sqrt[3 + 5*x]),x]","\frac{18083 \sqrt{1-2 x} \sqrt{5 x+3}}{1176 (3 x+2)}+\frac{173 \sqrt{1-2 x} \sqrt{5 x+3}}{84 (3 x+2)^2}+\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{3 (3 x+2)^3}-\frac{68959 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{392 \sqrt{7}}","\frac{18083 \sqrt{1-2 x} \sqrt{5 x+3}}{1176 (3 x+2)}+\frac{173 \sqrt{1-2 x} \sqrt{5 x+3}}{84 (3 x+2)^2}+\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{3 (3 x+2)^3}-\frac{68959 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{392 \sqrt{7}}",1,"(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3*(2 + 3*x)^3) + (173*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(84*(2 + 3*x)^2) + (18083*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1176*(2 + 3*x)) - (68959*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(392*Sqrt[7])","A",6,5,26,0.1923,1,"{99, 151, 12, 93, 204}"
2309,1,151,0,0.0506941,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^5 \sqrt{3+5 x}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^5*Sqrt[3 + 5*x]),x]","\frac{1479375 \sqrt{1-2 x} \sqrt{5 x+3}}{21952 (3 x+2)}+\frac{14145 \sqrt{1-2 x} \sqrt{5 x+3}}{1568 (3 x+2)^2}+\frac{81 \sqrt{1-2 x} \sqrt{5 x+3}}{56 (3 x+2)^3}+\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{4 (3 x+2)^4}-\frac{16925425 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{21952 \sqrt{7}}","\frac{1479375 \sqrt{1-2 x} \sqrt{5 x+3}}{21952 (3 x+2)}+\frac{14145 \sqrt{1-2 x} \sqrt{5 x+3}}{1568 (3 x+2)^2}+\frac{81 \sqrt{1-2 x} \sqrt{5 x+3}}{56 (3 x+2)^3}+\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{4 (3 x+2)^4}-\frac{16925425 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{21952 \sqrt{7}}",1,"(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(4*(2 + 3*x)^4) + (81*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(56*(2 + 3*x)^3) + (14145*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1568*(2 + 3*x)^2) + (1479375*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(21952*(2 + 3*x)) - (16925425*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(21952*Sqrt[7])","A",7,5,26,0.1923,1,"{99, 151, 12, 93, 204}"
2310,1,113,0,0.0301405,"\int \frac{\sqrt{1-2 x} (2+3 x)^3}{(3+5 x)^{3/2}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^3)/(3 + 5*x)^(3/2),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^3}{5 \sqrt{5 x+3}}+\frac{7}{25} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2-\frac{7 (73-60 x) \sqrt{1-2 x} \sqrt{5 x+3}}{4000}+\frac{10409 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{4000 \sqrt{10}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^3}{5 \sqrt{5 x+3}}+\frac{7}{25} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2-\frac{7 (73-60 x) \sqrt{1-2 x} \sqrt{5 x+3}}{4000}+\frac{10409 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{4000 \sqrt{10}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(5*Sqrt[3 + 5*x]) - (7*(73 - 60*x)*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/4000 + (7*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/25 + (10409*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(4000*Sqrt[10])","A",5,5,26,0.1923,1,"{97, 153, 147, 54, 216}"
2311,1,94,0,0.0220733,"\int \frac{\sqrt{1-2 x} (2+3 x)^2}{(3+5 x)^{3/2}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^2)/(3 + 5*x)^(3/2),x]","-\frac{9}{100} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{2 (1-2 x)^{3/2}}{275 \sqrt{5 x+3}}+\frac{317 \sqrt{5 x+3} \sqrt{1-2 x}}{2200}+\frac{317 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{200 \sqrt{10}}","-\frac{9}{100} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{2 (1-2 x)^{3/2}}{275 \sqrt{5 x+3}}+\frac{317 \sqrt{5 x+3} \sqrt{1-2 x}}{2200}+\frac{317 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{200 \sqrt{10}}",1,"(-2*(1 - 2*x)^(3/2))/(275*Sqrt[3 + 5*x]) + (317*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/2200 - (9*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/100 + (317*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(200*Sqrt[10])","A",5,5,26,0.1923,1,"{89, 80, 50, 54, 216}"
2312,1,72,0,0.0157993,"\int \frac{\sqrt{1-2 x} (2+3 x)}{(3+5 x)^{3/2}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x))/(3 + 5*x)^(3/2),x]","-\frac{2 (1-2 x)^{3/2}}{55 \sqrt{5 x+3}}+\frac{29}{275} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{29 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{25 \sqrt{10}}","-\frac{2 (1-2 x)^{3/2}}{55 \sqrt{5 x+3}}+\frac{29}{275} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{29 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{25 \sqrt{10}}",1,"(-2*(1 - 2*x)^(3/2))/(55*Sqrt[3 + 5*x]) + (29*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/275 + (29*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(25*Sqrt[10])","A",4,4,24,0.1667,1,"{78, 50, 54, 216}"
2313,1,52,0,0.0109016,"\int \frac{\sqrt{1-2 x}}{(3+5 x)^{3/2}} \, dx","Int[Sqrt[1 - 2*x]/(3 + 5*x)^(3/2),x]","-\frac{2 \sqrt{1-2 x}}{5 \sqrt{5 x+3}}-\frac{2}{5} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","-\frac{2 \sqrt{1-2 x}}{5 \sqrt{5 x+3}}-\frac{2}{5} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(-2*Sqrt[1 - 2*x])/(5*Sqrt[3 + 5*x]) - (2*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/5","A",3,3,19,0.1579,1,"{47, 54, 216}"
2314,1,53,0,0.0122943,"\int \frac{\sqrt{1-2 x}}{(2+3 x) (3+5 x)^{3/2}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)*(3 + 5*x)^(3/2)),x]","2 \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)-\frac{2 \sqrt{1-2 x}}{\sqrt{5 x+3}}","2 \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)-\frac{2 \sqrt{1-2 x}}{\sqrt{5 x+3}}",1,"(-2*Sqrt[1 - 2*x])/Sqrt[3 + 5*x] + 2*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])]","A",3,3,26,0.1154,1,"{94, 93, 204}"
2315,1,84,0,0.0213787,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^2 (3+5 x)^{3/2}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^2*(3 + 5*x)^(3/2)),x]","\frac{3 (1-2 x)^{3/2}}{7 (3 x+2) \sqrt{5 x+3}}-\frac{103 \sqrt{1-2 x}}{7 \sqrt{5 x+3}}+\frac{103 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{\sqrt{7}}","\frac{3 (1-2 x)^{3/2}}{7 (3 x+2) \sqrt{5 x+3}}-\frac{103 \sqrt{1-2 x}}{7 \sqrt{5 x+3}}+\frac{103 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{\sqrt{7}}",1,"(-103*Sqrt[1 - 2*x])/(7*Sqrt[3 + 5*x]) + (3*(1 - 2*x)^(3/2))/(7*(2 + 3*x)*Sqrt[3 + 5*x]) + (103*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/Sqrt[7]","A",4,4,26,0.1538,1,"{96, 94, 93, 204}"
2316,1,115,0,0.034644,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^3 (3+5 x)^{3/2}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^3*(3 + 5*x)^(3/2)),x]","-\frac{2615 \sqrt{1-2 x}}{28 \sqrt{5 x+3}}+\frac{173 \sqrt{1-2 x}}{28 (3 x+2) \sqrt{5 x+3}}+\frac{\sqrt{1-2 x}}{2 (3 x+2)^2 \sqrt{5 x+3}}+\frac{17951 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{28 \sqrt{7}}","-\frac{2615 \sqrt{1-2 x}}{28 \sqrt{5 x+3}}+\frac{173 \sqrt{1-2 x}}{28 (3 x+2) \sqrt{5 x+3}}+\frac{\sqrt{1-2 x}}{2 (3 x+2)^2 \sqrt{5 x+3}}+\frac{17951 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{28 \sqrt{7}}",1,"(-2615*Sqrt[1 - 2*x])/(28*Sqrt[3 + 5*x]) + Sqrt[1 - 2*x]/(2*(2 + 3*x)^2*Sqrt[3 + 5*x]) + (173*Sqrt[1 - 2*x])/(28*(2 + 3*x)*Sqrt[3 + 5*x]) + (17951*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(28*Sqrt[7])","A",6,6,26,0.2308,1,"{99, 151, 152, 12, 93, 204}"
2317,1,144,0,0.0461948,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^4 (3+5 x)^{3/2}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^4*(3 + 5*x)^(3/2)),x]","-\frac{639565 \sqrt{1-2 x}}{1176 \sqrt{5 x+3}}+\frac{14101 \sqrt{1-2 x}}{392 (3 x+2) \sqrt{5 x+3}}+\frac{81 \sqrt{1-2 x}}{28 (3 x+2)^2 \sqrt{5 x+3}}+\frac{\sqrt{1-2 x}}{3 (3 x+2)^3 \sqrt{5 x+3}}+\frac{1463447 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{392 \sqrt{7}}","-\frac{639565 \sqrt{1-2 x}}{1176 \sqrt{5 x+3}}+\frac{14101 \sqrt{1-2 x}}{392 (3 x+2) \sqrt{5 x+3}}+\frac{81 \sqrt{1-2 x}}{28 (3 x+2)^2 \sqrt{5 x+3}}+\frac{\sqrt{1-2 x}}{3 (3 x+2)^3 \sqrt{5 x+3}}+\frac{1463447 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{392 \sqrt{7}}",1,"(-639565*Sqrt[1 - 2*x])/(1176*Sqrt[3 + 5*x]) + Sqrt[1 - 2*x]/(3*(2 + 3*x)^3*Sqrt[3 + 5*x]) + (81*Sqrt[1 - 2*x])/(28*(2 + 3*x)^2*Sqrt[3 + 5*x]) + (14101*Sqrt[1 - 2*x])/(392*(2 + 3*x)*Sqrt[3 + 5*x]) + (1463447*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(392*Sqrt[7])","A",7,6,26,0.2308,1,"{99, 151, 152, 12, 93, 204}"
2318,1,142,0,0.0429995,"\int \frac{\sqrt{1-2 x} (2+3 x)^4}{(3+5 x)^{5/2}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^4)/(3 + 5*x)^(5/2),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^4}{15 (5 x+3)^{3/2}}-\frac{524 \sqrt{1-2 x} (3 x+2)^3}{825 \sqrt{5 x+3}}+\frac{623 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2}{1375}+\frac{7 \sqrt{1-2 x} \sqrt{5 x+3} (8940 x+2563)}{220000}+\frac{35511 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{20000 \sqrt{10}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^4}{15 (5 x+3)^{3/2}}-\frac{524 \sqrt{1-2 x} (3 x+2)^3}{825 \sqrt{5 x+3}}+\frac{623 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2}{1375}+\frac{7 \sqrt{1-2 x} \sqrt{5 x+3} (8940 x+2563)}{220000}+\frac{35511 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{20000 \sqrt{10}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^4)/(15*(3 + 5*x)^(3/2)) - (524*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(825*Sqrt[3 + 5*x]) + (623*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/1375 + (7*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(2563 + 8940*x))/220000 + (35511*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(20000*Sqrt[10])","A",6,6,26,0.2308,1,"{97, 150, 153, 147, 54, 216}"
2319,1,113,0,0.0302717,"\int \frac{\sqrt{1-2 x} (2+3 x)^3}{(3+5 x)^{5/2}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^3)/(3 + 5*x)^(5/2),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^3}{15 (5 x+3)^{3/2}}-\frac{392 \sqrt{1-2 x} (3 x+2)^2}{825 \sqrt{5 x+3}}+\frac{7 \sqrt{1-2 x} \sqrt{5 x+3} (1740 x+1243)}{11000}+\frac{1071 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1000 \sqrt{10}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^3}{15 (5 x+3)^{3/2}}-\frac{392 \sqrt{1-2 x} (3 x+2)^2}{825 \sqrt{5 x+3}}+\frac{7 \sqrt{1-2 x} \sqrt{5 x+3} (1740 x+1243)}{11000}+\frac{1071 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1000 \sqrt{10}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(15*(3 + 5*x)^(3/2)) - (392*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(825*Sqrt[3 + 5*x]) + (7*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(1243 + 1740*x))/11000 + (1071*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1000*Sqrt[10])","A",5,5,26,0.1923,1,"{97, 150, 147, 54, 216}"
2320,1,94,0,0.0219834,"\int \frac{\sqrt{1-2 x} (2+3 x)^2}{(3+5 x)^{5/2}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^2)/(3 + 5*x)^(5/2),x]","-\frac{12 (1-2 x)^{3/2}}{275 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{3/2}}{825 (5 x+3)^{3/2}}+\frac{3}{55} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{3 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5 \sqrt{10}}","-\frac{12 (1-2 x)^{3/2}}{275 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{3/2}}{825 (5 x+3)^{3/2}}+\frac{3}{55} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{3 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5 \sqrt{10}}",1,"(-2*(1 - 2*x)^(3/2))/(825*(3 + 5*x)^(3/2)) - (12*(1 - 2*x)^(3/2))/(275*Sqrt[3 + 5*x]) + (3*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/55 + (3*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(5*Sqrt[10])","A",5,5,26,0.1923,1,"{89, 78, 50, 54, 216}"
2321,1,74,0,0.0158633,"\int \frac{\sqrt{1-2 x} (2+3 x)}{(3+5 x)^{5/2}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x))/(3 + 5*x)^(5/2),x]","-\frac{2 (1-2 x)^{3/2}}{165 (5 x+3)^{3/2}}-\frac{6 \sqrt{1-2 x}}{25 \sqrt{5 x+3}}-\frac{6}{25} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","-\frac{2 (1-2 x)^{3/2}}{165 (5 x+3)^{3/2}}-\frac{6 \sqrt{1-2 x}}{25 \sqrt{5 x+3}}-\frac{6}{25} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(-2*(1 - 2*x)^(3/2))/(165*(3 + 5*x)^(3/2)) - (6*Sqrt[1 - 2*x])/(25*Sqrt[3 + 5*x]) - (6*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/25","A",4,4,24,0.1667,1,"{78, 47, 54, 216}"
2322,1,22,0,0.0017629,"\int \frac{\sqrt{1-2 x}}{(3+5 x)^{5/2}} \, dx","Int[Sqrt[1 - 2*x]/(3 + 5*x)^(5/2),x]","-\frac{2 (1-2 x)^{3/2}}{33 (5 x+3)^{3/2}}","-\frac{2 (1-2 x)^{3/2}}{33 (5 x+3)^{3/2}}",1,"(-2*(1 - 2*x)^(3/2))/(33*(3 + 5*x)^(3/2))","A",1,1,19,0.05263,1,"{37}"
2323,1,75,0,0.0195048,"\int \frac{\sqrt{1-2 x}}{(2+3 x) (3+5 x)^{5/2}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)*(3 + 5*x)^(5/2)),x]","-\frac{10 (1-2 x)^{3/2}}{33 (5 x+3)^{3/2}}+\frac{6 \sqrt{1-2 x}}{\sqrt{5 x+3}}-6 \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{10 (1-2 x)^{3/2}}{33 (5 x+3)^{3/2}}+\frac{6 \sqrt{1-2 x}}{\sqrt{5 x+3}}-6 \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-10*(1 - 2*x)^(3/2))/(33*(3 + 5*x)^(3/2)) + (6*Sqrt[1 - 2*x])/Sqrt[3 + 5*x] - 6*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])]","A",4,4,26,0.1538,1,"{96, 94, 93, 204}"
2324,1,103,0,0.0296518,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^2 (3+5 x)^{5/2}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^2*(3 + 5*x)^(5/2)),x]","\frac{2495 \sqrt{1-2 x}}{33 \sqrt{5 x+3}}-\frac{25 \sqrt{1-2 x}}{3 (5 x+3)^{3/2}}+\frac{\sqrt{1-2 x}}{(3 x+2) (5 x+3)^{3/2}}-\frac{519 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{\sqrt{7}}","\frac{2495 \sqrt{1-2 x}}{33 \sqrt{5 x+3}}-\frac{25 \sqrt{1-2 x}}{3 (5 x+3)^{3/2}}+\frac{\sqrt{1-2 x}}{(3 x+2) (5 x+3)^{3/2}}-\frac{519 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{\sqrt{7}}",1,"(-25*Sqrt[1 - 2*x])/(3*(3 + 5*x)^(3/2)) + Sqrt[1 - 2*x]/((2 + 3*x)*(3 + 5*x)^(3/2)) + (2495*Sqrt[1 - 2*x])/(33*Sqrt[3 + 5*x]) - (519*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/Sqrt[7]","A",6,5,26,0.1923,1,"{99, 152, 12, 93, 204}"
2325,1,137,0,0.0469776,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^3 (3+5 x)^{5/2}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^3*(3 + 5*x)^(5/2)),x]","\frac{608185 \sqrt{1-2 x}}{924 \sqrt{5 x+3}}-\frac{6095 \sqrt{1-2 x}}{84 (5 x+3)^{3/2}}+\frac{243 \sqrt{1-2 x}}{28 (3 x+2) (5 x+3)^{3/2}}+\frac{\sqrt{1-2 x}}{2 (3 x+2)^2 (5 x+3)^{3/2}}-\frac{126513 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{28 \sqrt{7}}","\frac{608185 \sqrt{1-2 x}}{924 \sqrt{5 x+3}}-\frac{6095 \sqrt{1-2 x}}{84 (5 x+3)^{3/2}}+\frac{243 \sqrt{1-2 x}}{28 (3 x+2) (5 x+3)^{3/2}}+\frac{\sqrt{1-2 x}}{2 (3 x+2)^2 (5 x+3)^{3/2}}-\frac{126513 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{28 \sqrt{7}}",1,"(-6095*Sqrt[1 - 2*x])/(84*(3 + 5*x)^(3/2)) + Sqrt[1 - 2*x]/(2*(2 + 3*x)^2*(3 + 5*x)^(3/2)) + (243*Sqrt[1 - 2*x])/(28*(2 + 3*x)*(3 + 5*x)^(3/2)) + (608185*Sqrt[1 - 2*x])/(924*Sqrt[3 + 5*x]) - (126513*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(28*Sqrt[7])","A",7,6,26,0.2308,1,"{99, 151, 152, 12, 93, 204}"
2326,1,166,0,0.0595912,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^4 (3+5 x)^{5/2}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^4*(3 + 5*x)^(5/2)),x]","\frac{63678595 \sqrt{1-2 x}}{12936 \sqrt{5 x+3}}-\frac{638165 \sqrt{1-2 x}}{1176 (5 x+3)^{3/2}}+\frac{25441 \sqrt{1-2 x}}{392 (3 x+2) (5 x+3)^{3/2}}+\frac{313 \sqrt{1-2 x}}{84 (3 x+2)^2 (5 x+3)^{3/2}}+\frac{\sqrt{1-2 x}}{3 (3 x+2)^3 (5 x+3)^{3/2}}-\frac{13246251 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{392 \sqrt{7}}","\frac{63678595 \sqrt{1-2 x}}{12936 \sqrt{5 x+3}}-\frac{638165 \sqrt{1-2 x}}{1176 (5 x+3)^{3/2}}+\frac{25441 \sqrt{1-2 x}}{392 (3 x+2) (5 x+3)^{3/2}}+\frac{313 \sqrt{1-2 x}}{84 (3 x+2)^2 (5 x+3)^{3/2}}+\frac{\sqrt{1-2 x}}{3 (3 x+2)^3 (5 x+3)^{3/2}}-\frac{13246251 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{392 \sqrt{7}}",1,"(-638165*Sqrt[1 - 2*x])/(1176*(3 + 5*x)^(3/2)) + Sqrt[1 - 2*x]/(3*(2 + 3*x)^3*(3 + 5*x)^(3/2)) + (313*Sqrt[1 - 2*x])/(84*(2 + 3*x)^2*(3 + 5*x)^(3/2)) + (25441*Sqrt[1 - 2*x])/(392*(2 + 3*x)*(3 + 5*x)^(3/2)) + (63678595*Sqrt[1 - 2*x])/(12936*Sqrt[3 + 5*x]) - (13246251*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(392*Sqrt[7])","A",8,6,26,0.2308,1,"{99, 151, 152, 12, 93, 204}"
2327,1,150,0,0.0415341,"\int (1-2 x)^{3/2} (2+3 x)^3 \sqrt{3+5 x} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^3*Sqrt[3 + 5*x],x]","-\frac{1}{20} (3 x+2)^2 (5 x+3)^{3/2} (1-2 x)^{5/2}-\frac{(5 x+3)^{3/2} (63120 x+88987) (1-2 x)^{5/2}}{160000}-\frac{339983 \sqrt{5 x+3} (1-2 x)^{5/2}}{384000}+\frac{3739813 \sqrt{5 x+3} (1-2 x)^{3/2}}{7680000}+\frac{41137943 \sqrt{5 x+3} \sqrt{1-2 x}}{25600000}+\frac{452517373 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{25600000 \sqrt{10}}","-\frac{1}{20} (3 x+2)^2 (5 x+3)^{3/2} (1-2 x)^{5/2}-\frac{(5 x+3)^{3/2} (63120 x+88987) (1-2 x)^{5/2}}{160000}-\frac{339983 \sqrt{5 x+3} (1-2 x)^{5/2}}{384000}+\frac{3739813 \sqrt{5 x+3} (1-2 x)^{3/2}}{7680000}+\frac{41137943 \sqrt{5 x+3} \sqrt{1-2 x}}{25600000}+\frac{452517373 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{25600000 \sqrt{10}}",1,"(41137943*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/25600000 + (3739813*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/7680000 - (339983*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/384000 - ((1 - 2*x)^(5/2)*(2 + 3*x)^2*(3 + 5*x)^(3/2))/20 - ((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2)*(88987 + 63120*x))/160000 + (452517373*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(25600000*Sqrt[10])","A",7,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2328,1,143,0,0.0397672,"\int (1-2 x)^{3/2} (2+3 x)^2 \sqrt{3+5 x} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^2*Sqrt[3 + 5*x],x]","-\frac{3}{50} (3 x+2) (5 x+3)^{3/2} (1-2 x)^{5/2}-\frac{567 (5 x+3)^{3/2} (1-2 x)^{5/2}}{4000}-\frac{4123 \sqrt{5 x+3} (1-2 x)^{5/2}}{9600}+\frac{45353 \sqrt{5 x+3} (1-2 x)^{3/2}}{192000}+\frac{498883 \sqrt{5 x+3} \sqrt{1-2 x}}{640000}+\frac{5487713 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{640000 \sqrt{10}}","-\frac{3}{50} (3 x+2) (5 x+3)^{3/2} (1-2 x)^{5/2}-\frac{567 (5 x+3)^{3/2} (1-2 x)^{5/2}}{4000}-\frac{4123 \sqrt{5 x+3} (1-2 x)^{5/2}}{9600}+\frac{45353 \sqrt{5 x+3} (1-2 x)^{3/2}}{192000}+\frac{498883 \sqrt{5 x+3} \sqrt{1-2 x}}{640000}+\frac{5487713 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{640000 \sqrt{10}}",1,"(498883*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/640000 + (45353*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/192000 - (4123*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/9600 - (567*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/4000 - (3*(1 - 2*x)^(5/2)*(2 + 3*x)*(3 + 5*x)^(3/2))/50 + (5487713*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(640000*Sqrt[10])","A",7,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2329,1,116,0,0.0291132,"\int (1-2 x)^{3/2} (2+3 x) \sqrt{3+5 x} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)*Sqrt[3 + 5*x],x]","-\frac{3}{40} (5 x+3)^{3/2} (1-2 x)^{5/2}-\frac{23}{96} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{253 \sqrt{5 x+3} (1-2 x)^{3/2}}{1920}+\frac{2783 \sqrt{5 x+3} \sqrt{1-2 x}}{6400}+\frac{30613 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{6400 \sqrt{10}}","-\frac{3}{40} (5 x+3)^{3/2} (1-2 x)^{5/2}-\frac{23}{96} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{253 \sqrt{5 x+3} (1-2 x)^{3/2}}{1920}+\frac{2783 \sqrt{5 x+3} \sqrt{1-2 x}}{6400}+\frac{30613 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{6400 \sqrt{10}}",1,"(2783*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/6400 + (253*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/1920 - (23*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/96 - (3*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/40 + (30613*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(6400*Sqrt[10])","A",6,4,24,0.1667,1,"{80, 50, 54, 216}"
2330,1,94,0,0.021234,"\int (1-2 x)^{3/2} \sqrt{3+5 x} \, dx","Int[(1 - 2*x)^(3/2)*Sqrt[3 + 5*x],x]","-\frac{1}{6} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{11}{120} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{121}{400} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{1331 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{400 \sqrt{10}}","-\frac{1}{6} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{11}{120} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{121}{400} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{1331 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{400 \sqrt{10}}",1,"(121*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/400 + (11*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/120 - ((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/6 + (1331*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(400*Sqrt[10])","A",5,3,19,0.1579,1,"{50, 54, 216}"
2331,1,106,0,0.04016,"\int \frac{(1-2 x)^{3/2} \sqrt{3+5 x}}{2+3 x} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(2 + 3*x),x]","\frac{1}{6} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{107}{180} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{4091 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{540 \sqrt{10}}+\frac{14}{27} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{1}{6} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{107}{180} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{4091 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{540 \sqrt{10}}+\frac{14}{27} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(107*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/180 + ((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/6 + (4091*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(540*Sqrt[10]) + (14*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/27","A",7,7,26,0.2692,1,"{101, 154, 157, 54, 216, 93, 204}"
2332,1,115,0,0.0402602,"\int \frac{(1-2 x)^{3/2} \sqrt{3+5 x}}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(2 + 3*x)^2,x]","-\frac{\sqrt{5 x+3} (1-2 x)^{3/2}}{3 (3 x+2)}-\frac{4}{9} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{107}{27} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{41}{27} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{\sqrt{5 x+3} (1-2 x)^{3/2}}{3 (3 x+2)}-\frac{4}{9} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{107}{27} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{41}{27} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-4*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/9 - ((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(3*(2 + 3*x)) - (107*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/27 - (41*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/27","A",7,7,26,0.2692,1,"{97, 154, 157, 54, 216, 93, 204}"
2333,1,120,0,0.0420847,"\int \frac{(1-2 x)^{3/2} \sqrt{3+5 x}}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(2 + 3*x)^3,x]","-\frac{\sqrt{5 x+3} (1-2 x)^{3/2}}{6 (3 x+2)^2}+\frac{41 \sqrt{5 x+3} \sqrt{1-2 x}}{36 (3 x+2)}+\frac{4}{27} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{793 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{108 \sqrt{7}}","-\frac{\sqrt{5 x+3} (1-2 x)^{3/2}}{6 (3 x+2)^2}+\frac{41 \sqrt{5 x+3} \sqrt{1-2 x}}{36 (3 x+2)}+\frac{4}{27} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{793 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{108 \sqrt{7}}",1,"-((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(6*(2 + 3*x)^2) + (41*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(36*(2 + 3*x)) + (4*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/27 - (793*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(108*Sqrt[7])","A",7,7,26,0.2692,1,"{97, 149, 157, 54, 216, 93, 204}"
2334,1,122,0,0.0280152,"\int \frac{(1-2 x)^{3/2} \sqrt{3+5 x}}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(2 + 3*x)^4,x]","\frac{11 \sqrt{1-2 x} (5 x+3)^{3/2}}{4 (3 x+2)^2}+\frac{(1-2 x)^{3/2} (5 x+3)^{3/2}}{3 (3 x+2)^3}-\frac{121 \sqrt{1-2 x} \sqrt{5 x+3}}{56 (3 x+2)}-\frac{1331 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{56 \sqrt{7}}","\frac{11 \sqrt{1-2 x} (5 x+3)^{3/2}}{4 (3 x+2)^2}+\frac{(1-2 x)^{3/2} (5 x+3)^{3/2}}{3 (3 x+2)^3}-\frac{121 \sqrt{1-2 x} \sqrt{5 x+3}}{56 (3 x+2)}-\frac{1331 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{56 \sqrt{7}}",1,"(-121*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(56*(2 + 3*x)) + ((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(3*(2 + 3*x)^3) + (11*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(4*(2 + 3*x)^2) - (1331*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(56*Sqrt[7])","A",5,3,26,0.1154,1,"{94, 93, 204}"
2335,1,151,0,0.0417163,"\int \frac{(1-2 x)^{3/2} \sqrt{3+5 x}}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(2 + 3*x)^5,x]","\frac{3 (5 x+3)^{3/2} (1-2 x)^{5/2}}{28 (3 x+2)^4}+\frac{181 (5 x+3)^{3/2} (1-2 x)^{3/2}}{168 (3 x+2)^3}+\frac{1991 (5 x+3)^{3/2} \sqrt{1-2 x}}{224 (3 x+2)^2}-\frac{21901 \sqrt{5 x+3} \sqrt{1-2 x}}{3136 (3 x+2)}-\frac{240911 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{3136 \sqrt{7}}","\frac{3 (5 x+3)^{3/2} (1-2 x)^{5/2}}{28 (3 x+2)^4}+\frac{181 (5 x+3)^{3/2} (1-2 x)^{3/2}}{168 (3 x+2)^3}+\frac{1991 (5 x+3)^{3/2} \sqrt{1-2 x}}{224 (3 x+2)^2}-\frac{21901 \sqrt{5 x+3} \sqrt{1-2 x}}{3136 (3 x+2)}-\frac{240911 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{3136 \sqrt{7}}",1,"(-21901*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3136*(2 + 3*x)) + (3*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(28*(2 + 3*x)^4) + (181*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(168*(2 + 3*x)^3) + (1991*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(224*(2 + 3*x)^2) - (240911*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(3136*Sqrt[7])","A",6,4,26,0.1538,1,"{96, 94, 93, 204}"
2336,1,180,0,0.0669546,"\int \frac{(1-2 x)^{3/2} \sqrt{3+5 x}}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(2 + 3*x)^6,x]","-\frac{\sqrt{5 x+3} (1-2 x)^{3/2}}{15 (3 x+2)^5}+\frac{28291441 \sqrt{5 x+3} \sqrt{1-2 x}}{1185408 (3 x+2)}+\frac{270463 \sqrt{5 x+3} \sqrt{1-2 x}}{84672 (3 x+2)^2}+\frac{7723 \sqrt{5 x+3} \sqrt{1-2 x}}{15120 (3 x+2)^3}+\frac{41 \sqrt{5 x+3} \sqrt{1-2 x}}{360 (3 x+2)^4}-\frac{11988317 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{43904 \sqrt{7}}","-\frac{\sqrt{5 x+3} (1-2 x)^{3/2}}{15 (3 x+2)^5}+\frac{28291441 \sqrt{5 x+3} \sqrt{1-2 x}}{1185408 (3 x+2)}+\frac{270463 \sqrt{5 x+3} \sqrt{1-2 x}}{84672 (3 x+2)^2}+\frac{7723 \sqrt{5 x+3} \sqrt{1-2 x}}{15120 (3 x+2)^3}+\frac{41 \sqrt{5 x+3} \sqrt{1-2 x}}{360 (3 x+2)^4}-\frac{11988317 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{43904 \sqrt{7}}",1,"-((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(15*(2 + 3*x)^5) + (41*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(360*(2 + 3*x)^4) + (7723*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(15120*(2 + 3*x)^3) + (270463*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(84672*(2 + 3*x)^2) + (28291441*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1185408*(2 + 3*x)) - (11988317*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(43904*Sqrt[7])","A",8,6,26,0.2308,1,"{97, 149, 151, 12, 93, 204}"
2337,1,172,0,0.0510895,"\int (1-2 x)^{3/2} (2+3 x)^3 (3+5 x)^{3/2} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^3*(3 + 5*x)^(3/2),x]","-\frac{3}{70} (3 x+2)^2 (5 x+3)^{5/2} (1-2 x)^{5/2}-\frac{141599 (5 x+3)^{3/2} (1-2 x)^{5/2}}{128000}-\frac{3 (5 x+3)^{5/2} (33300 x+49829) (1-2 x)^{5/2}}{280000}-\frac{1557589 \sqrt{5 x+3} (1-2 x)^{5/2}}{512000}+\frac{17133479 \sqrt{5 x+3} (1-2 x)^{3/2}}{10240000}+\frac{565404807 \sqrt{5 x+3} \sqrt{1-2 x}}{102400000}+\frac{6219452877 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{102400000 \sqrt{10}}","-\frac{3}{70} (3 x+2)^2 (5 x+3)^{5/2} (1-2 x)^{5/2}-\frac{141599 (5 x+3)^{3/2} (1-2 x)^{5/2}}{128000}-\frac{3 (5 x+3)^{5/2} (33300 x+49829) (1-2 x)^{5/2}}{280000}-\frac{1557589 \sqrt{5 x+3} (1-2 x)^{5/2}}{512000}+\frac{17133479 \sqrt{5 x+3} (1-2 x)^{3/2}}{10240000}+\frac{565404807 \sqrt{5 x+3} \sqrt{1-2 x}}{102400000}+\frac{6219452877 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{102400000 \sqrt{10}}",1,"(565404807*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/102400000 + (17133479*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/10240000 - (1557589*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/512000 - (141599*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/128000 - (3*(1 - 2*x)^(5/2)*(2 + 3*x)^2*(3 + 5*x)^(5/2))/70 - (3*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)*(49829 + 33300*x))/280000 + (6219452877*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(102400000*Sqrt[10])","A",8,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2338,1,165,0,0.0510146,"\int (1-2 x)^{3/2} (2+3 x)^2 (3+5 x)^{3/2} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^(3/2),x]","-\frac{1}{20} (3 x+2) (5 x+3)^{5/2} (1-2 x)^{5/2}-\frac{259 (5 x+3)^{5/2} (1-2 x)^{5/2}}{2000}-\frac{3101 (5 x+3)^{3/2} (1-2 x)^{5/2}}{6400}-\frac{34111 \sqrt{5 x+3} (1-2 x)^{5/2}}{25600}+\frac{375221 \sqrt{5 x+3} (1-2 x)^{3/2}}{512000}+\frac{12382293 \sqrt{5 x+3} \sqrt{1-2 x}}{5120000}+\frac{136205223 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5120000 \sqrt{10}}","-\frac{1}{20} (3 x+2) (5 x+3)^{5/2} (1-2 x)^{5/2}-\frac{259 (5 x+3)^{5/2} (1-2 x)^{5/2}}{2000}-\frac{3101 (5 x+3)^{3/2} (1-2 x)^{5/2}}{6400}-\frac{34111 \sqrt{5 x+3} (1-2 x)^{5/2}}{25600}+\frac{375221 \sqrt{5 x+3} (1-2 x)^{3/2}}{512000}+\frac{12382293 \sqrt{5 x+3} \sqrt{1-2 x}}{5120000}+\frac{136205223 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5120000 \sqrt{10}}",1,"(12382293*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/5120000 + (375221*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/512000 - (34111*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/25600 - (3101*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/6400 - (259*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/2000 - ((1 - 2*x)^(5/2)*(2 + 3*x)*(3 + 5*x)^(5/2))/20 + (136205223*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(5120000*Sqrt[10])","A",8,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2339,1,138,0,0.0369935,"\int (1-2 x)^{3/2} (2+3 x) (3+5 x)^{3/2} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^(3/2),x]","-\frac{3}{50} (5 x+3)^{5/2} (1-2 x)^{5/2}-\frac{37}{160} (5 x+3)^{3/2} (1-2 x)^{5/2}-\frac{407}{640} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{4477 \sqrt{5 x+3} (1-2 x)^{3/2}}{12800}+\frac{147741 \sqrt{5 x+3} \sqrt{1-2 x}}{128000}+\frac{1625151 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{128000 \sqrt{10}}","-\frac{3}{50} (5 x+3)^{5/2} (1-2 x)^{5/2}-\frac{37}{160} (5 x+3)^{3/2} (1-2 x)^{5/2}-\frac{407}{640} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{4477 \sqrt{5 x+3} (1-2 x)^{3/2}}{12800}+\frac{147741 \sqrt{5 x+3} \sqrt{1-2 x}}{128000}+\frac{1625151 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{128000 \sqrt{10}}",1,"(147741*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/128000 + (4477*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/12800 - (407*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/640 - (37*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/160 - (3*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/50 + (1625151*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(128000*Sqrt[10])","A",7,4,24,0.1667,1,"{80, 50, 54, 216}"
2340,1,116,0,0.0294395,"\int (1-2 x)^{3/2} (3+5 x)^{3/2} \, dx","Int[(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2),x]","-\frac{1}{8} (5 x+3)^{3/2} (1-2 x)^{5/2}-\frac{11}{32} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{121}{640} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{3993 \sqrt{5 x+3} \sqrt{1-2 x}}{6400}+\frac{43923 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{6400 \sqrt{10}}","-\frac{1}{8} (5 x+3)^{3/2} (1-2 x)^{5/2}-\frac{11}{32} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{121}{640} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{3993 \sqrt{5 x+3} \sqrt{1-2 x}}{6400}+\frac{43923 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{6400 \sqrt{10}}",1,"(3993*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/6400 + (121*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/640 - (11*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/32 - ((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/8 + (43923*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(6400*Sqrt[10])","A",6,3,19,0.1579,1,"{50, 54, 216}"
2341,1,128,0,0.0522678,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{2+3 x} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(2 + 3*x),x]","\frac{1}{9} (1-2 x)^{3/2} (5 x+3)^{3/2}+\frac{37}{180} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{1781 \sqrt{1-2 x} \sqrt{5 x+3}}{2160}+\frac{19573 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{6480 \sqrt{10}}-\frac{14}{81} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{1}{9} (1-2 x)^{3/2} (5 x+3)^{3/2}+\frac{37}{180} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{1781 \sqrt{1-2 x} \sqrt{5 x+3}}{2160}+\frac{19573 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{6480 \sqrt{10}}-\frac{14}{81} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-1781*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/2160 + (37*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/180 + ((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/9 + (19573*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(6480*Sqrt[10]) - (14*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/81","A",8,7,26,0.2692,1,"{101, 154, 157, 54, 216, 93, 204}"
2342,1,135,0,0.0508681,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^2,x]","-\frac{1}{3} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{(1-2 x)^{3/2} (5 x+3)^{3/2}}{3 (3 x+2)}+\frac{107}{36} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{1649 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{108 \sqrt{10}}+\frac{37}{27} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{1}{3} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{(1-2 x)^{3/2} (5 x+3)^{3/2}}{3 (3 x+2)}+\frac{107}{36} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{1649 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{108 \sqrt{10}}+\frac{37}{27} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(107*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/36 - (Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/3 - ((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(3*(2 + 3*x)) + (1649*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(108*Sqrt[10]) + (37*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/27","A",8,7,26,0.2692,1,"{97, 154, 157, 54, 216, 93, 204}"
2343,1,142,0,0.0543256,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^3,x]","\frac{37 \sqrt{1-2 x} (5 x+3)^{3/2}}{12 (3 x+2)}-\frac{(1-2 x)^{3/2} (5 x+3)^{3/2}}{6 (3 x+2)^2}-\frac{205}{36} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{37}{27} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{1649 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{108 \sqrt{7}}","\frac{37 \sqrt{1-2 x} (5 x+3)^{3/2}}{12 (3 x+2)}-\frac{(1-2 x)^{3/2} (5 x+3)^{3/2}}{6 (3 x+2)^2}-\frac{205}{36} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{37}{27} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{1649 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{108 \sqrt{7}}",1,"(-205*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/36 - ((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(6*(2 + 3*x)^2) + (37*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(12*(2 + 3*x)) - (37*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/27 - (1649*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(108*Sqrt[7])","A",8,8,26,0.3077,1,"{97, 149, 154, 157, 54, 216, 93, 204}"
2344,1,149,0,0.0523733,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^4,x]","\frac{37 \sqrt{1-2 x} (5 x+3)^{3/2}}{36 (3 x+2)^2}-\frac{(1-2 x)^{3/2} (5 x+3)^{3/2}}{9 (3 x+2)^3}-\frac{661 \sqrt{1-2 x} \sqrt{5 x+3}}{1512 (3 x+2)}+\frac{20}{81} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{19573 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{4536 \sqrt{7}}","\frac{37 \sqrt{1-2 x} (5 x+3)^{3/2}}{36 (3 x+2)^2}-\frac{(1-2 x)^{3/2} (5 x+3)^{3/2}}{9 (3 x+2)^3}-\frac{661 \sqrt{1-2 x} \sqrt{5 x+3}}{1512 (3 x+2)}+\frac{20}{81} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{19573 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{4536 \sqrt{7}}",1,"(-661*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1512*(2 + 3*x)) - ((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(9*(2 + 3*x)^3) + (37*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(36*(2 + 3*x)^2) + (20*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/81 - (19573*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(4536*Sqrt[7])","A",8,7,26,0.2692,1,"{97, 149, 157, 54, 216, 93, 204}"
2345,1,151,0,0.0417811,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^5,x]","\frac{11 \sqrt{1-2 x} (5 x+3)^{5/2}}{8 (3 x+2)^3}+\frac{(1-2 x)^{3/2} (5 x+3)^{5/2}}{4 (3 x+2)^4}-\frac{121 \sqrt{1-2 x} (5 x+3)^{3/2}}{224 (3 x+2)^2}-\frac{3993 \sqrt{1-2 x} \sqrt{5 x+3}}{3136 (3 x+2)}-\frac{43923 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{3136 \sqrt{7}}","\frac{11 \sqrt{1-2 x} (5 x+3)^{5/2}}{8 (3 x+2)^3}+\frac{(1-2 x)^{3/2} (5 x+3)^{5/2}}{4 (3 x+2)^4}-\frac{121 \sqrt{1-2 x} (5 x+3)^{3/2}}{224 (3 x+2)^2}-\frac{3993 \sqrt{1-2 x} \sqrt{5 x+3}}{3136 (3 x+2)}-\frac{43923 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{3136 \sqrt{7}}",1,"(-3993*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3136*(2 + 3*x)) - (121*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(224*(2 + 3*x)^2) + ((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(4*(2 + 3*x)^4) + (11*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(8*(2 + 3*x)^3) - (43923*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(3136*Sqrt[7])","A",6,3,26,0.1154,1,"{94, 93, 204}"
2346,1,180,0,0.0565481,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^6,x]","\frac{407 \sqrt{1-2 x} (5 x+3)^{5/2}}{112 (3 x+2)^3}+\frac{37 (1-2 x)^{3/2} (5 x+3)^{5/2}}{56 (3 x+2)^4}+\frac{3 (1-2 x)^{5/2} (5 x+3)^{5/2}}{35 (3 x+2)^5}-\frac{4477 \sqrt{1-2 x} (5 x+3)^{3/2}}{3136 (3 x+2)^2}-\frac{147741 \sqrt{1-2 x} \sqrt{5 x+3}}{43904 (3 x+2)}-\frac{1625151 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{43904 \sqrt{7}}","\frac{407 \sqrt{1-2 x} (5 x+3)^{5/2}}{112 (3 x+2)^3}+\frac{37 (1-2 x)^{3/2} (5 x+3)^{5/2}}{56 (3 x+2)^4}+\frac{3 (1-2 x)^{5/2} (5 x+3)^{5/2}}{35 (3 x+2)^5}-\frac{4477 \sqrt{1-2 x} (5 x+3)^{3/2}}{3136 (3 x+2)^2}-\frac{147741 \sqrt{1-2 x} \sqrt{5 x+3}}{43904 (3 x+2)}-\frac{1625151 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{43904 \sqrt{7}}",1,"(-147741*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(43904*(2 + 3*x)) - (4477*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(3136*(2 + 3*x)^2) + (3*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(35*(2 + 3*x)^5) + (37*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(56*(2 + 3*x)^4) + (407*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(112*(2 + 3*x)^3) - (1625151*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(43904*Sqrt[7])","A",7,4,26,0.1538,1,"{96, 94, 93, 204}"
2347,1,209,0,0.0799882,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^7,x]","\frac{37 \sqrt{1-2 x} (5 x+3)^{3/2}}{180 (3 x+2)^5}-\frac{(1-2 x)^{3/2} (5 x+3)^{3/2}}{18 (3 x+2)^6}+\frac{137752591 \sqrt{1-2 x} \sqrt{5 x+3}}{14224896 (3 x+2)}+\frac{1316353 \sqrt{1-2 x} \sqrt{5 x+3}}{1016064 (3 x+2)^2}+\frac{37333 \sqrt{1-2 x} \sqrt{5 x+3}}{181440 (3 x+2)^3}-\frac{7591 \sqrt{1-2 x} \sqrt{5 x+3}}{30240 (3 x+2)^4}-\frac{19457889 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{175616 \sqrt{7}}","\frac{37 \sqrt{1-2 x} (5 x+3)^{3/2}}{180 (3 x+2)^5}-\frac{(1-2 x)^{3/2} (5 x+3)^{3/2}}{18 (3 x+2)^6}+\frac{137752591 \sqrt{1-2 x} \sqrt{5 x+3}}{14224896 (3 x+2)}+\frac{1316353 \sqrt{1-2 x} \sqrt{5 x+3}}{1016064 (3 x+2)^2}+\frac{37333 \sqrt{1-2 x} \sqrt{5 x+3}}{181440 (3 x+2)^3}-\frac{7591 \sqrt{1-2 x} \sqrt{5 x+3}}{30240 (3 x+2)^4}-\frac{19457889 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{175616 \sqrt{7}}",1,"(-7591*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(30240*(2 + 3*x)^4) + (37333*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(181440*(2 + 3*x)^3) + (1316353*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1016064*(2 + 3*x)^2) + (137752591*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(14224896*(2 + 3*x)) - ((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(18*(2 + 3*x)^6) + (37*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(180*(2 + 3*x)^5) - (19457889*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(175616*Sqrt[7])","A",9,6,26,0.2308,1,"{97, 149, 151, 12, 93, 204}"
2348,1,238,0,0.0976867,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^8} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^8,x]","\frac{37 \sqrt{1-2 x} (5 x+3)^{3/2}}{252 (3 x+2)^6}-\frac{(1-2 x)^{3/2} (5 x+3)^{3/2}}{21 (3 x+2)^7}+\frac{14677525921 \sqrt{1-2 x} \sqrt{5 x+3}}{464679936 (3 x+2)}+\frac{140331343 \sqrt{1-2 x} \sqrt{5 x+3}}{33191424 (3 x+2)^2}+\frac{4014523 \sqrt{1-2 x} \sqrt{5 x+3}}{5927040 (3 x+2)^3}+\frac{341917 \sqrt{1-2 x} \sqrt{5 x+3}}{2963520 (3 x+2)^4}-\frac{9901 \sqrt{1-2 x} \sqrt{5 x+3}}{52920 (3 x+2)^5}-\frac{6219452877 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{17210368 \sqrt{7}}","\frac{37 \sqrt{1-2 x} (5 x+3)^{3/2}}{252 (3 x+2)^6}-\frac{(1-2 x)^{3/2} (5 x+3)^{3/2}}{21 (3 x+2)^7}+\frac{14677525921 \sqrt{1-2 x} \sqrt{5 x+3}}{464679936 (3 x+2)}+\frac{140331343 \sqrt{1-2 x} \sqrt{5 x+3}}{33191424 (3 x+2)^2}+\frac{4014523 \sqrt{1-2 x} \sqrt{5 x+3}}{5927040 (3 x+2)^3}+\frac{341917 \sqrt{1-2 x} \sqrt{5 x+3}}{2963520 (3 x+2)^4}-\frac{9901 \sqrt{1-2 x} \sqrt{5 x+3}}{52920 (3 x+2)^5}-\frac{6219452877 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{17210368 \sqrt{7}}",1,"(-9901*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(52920*(2 + 3*x)^5) + (341917*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2963520*(2 + 3*x)^4) + (4014523*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(5927040*(2 + 3*x)^3) + (140331343*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(33191424*(2 + 3*x)^2) + (14677525921*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(464679936*(2 + 3*x)) - ((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(21*(2 + 3*x)^7) + (37*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(252*(2 + 3*x)^6) - (6219452877*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(17210368*Sqrt[7])","A",10,6,26,0.2308,1,"{97, 149, 151, 12, 93, 204}"
2349,1,194,0,0.0653889,"\int (1-2 x)^{3/2} (2+3 x)^3 (3+5 x)^{5/2} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^3*(3 + 5*x)^(5/2),x]","-\frac{3}{80} (1-2 x)^{5/2} (3 x+2)^2 (5 x+3)^{7/2}-\frac{9 (1-2 x)^{5/2} (16120 x+25043) (5 x+3)^{7/2}}{448000}-\frac{306029 (1-2 x)^{5/2} (5 x+3)^{5/2}}{256000}-\frac{3366319 (1-2 x)^{5/2} (5 x+3)^{3/2}}{819200}-\frac{37029509 (1-2 x)^{5/2} \sqrt{5 x+3}}{3276800}+\frac{407324599 (1-2 x)^{3/2} \sqrt{5 x+3}}{65536000}+\frac{13441711767 \sqrt{1-2 x} \sqrt{5 x+3}}{655360000}+\frac{147858829437 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{655360000 \sqrt{10}}","-\frac{3}{80} (1-2 x)^{5/2} (3 x+2)^2 (5 x+3)^{7/2}-\frac{9 (1-2 x)^{5/2} (16120 x+25043) (5 x+3)^{7/2}}{448000}-\frac{306029 (1-2 x)^{5/2} (5 x+3)^{5/2}}{256000}-\frac{3366319 (1-2 x)^{5/2} (5 x+3)^{3/2}}{819200}-\frac{37029509 (1-2 x)^{5/2} \sqrt{5 x+3}}{3276800}+\frac{407324599 (1-2 x)^{3/2} \sqrt{5 x+3}}{65536000}+\frac{13441711767 \sqrt{1-2 x} \sqrt{5 x+3}}{655360000}+\frac{147858829437 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{655360000 \sqrt{10}}",1,"(13441711767*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/655360000 + (407324599*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/65536000 - (37029509*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/3276800 - (3366319*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/819200 - (306029*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/256000 - (3*(1 - 2*x)^(5/2)*(2 + 3*x)^2*(3 + 5*x)^(7/2))/80 - (9*(1 - 2*x)^(5/2)*(3 + 5*x)^(7/2)*(25043 + 16120*x))/448000 + (147858829437*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(655360000*Sqrt[10])","A",9,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2350,1,187,0,0.0614622,"\int (1-2 x)^{3/2} (2+3 x)^2 (3+5 x)^{5/2} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^(5/2),x]","-\frac{47}{400} (1-2 x)^{5/2} (5 x+3)^{7/2}-\frac{3}{70} (1-2 x)^{5/2} (3 x+2) (5 x+3)^{7/2}-\frac{783 (1-2 x)^{5/2} (5 x+3)^{5/2}}{1600}-\frac{8613 (1-2 x)^{5/2} (5 x+3)^{3/2}}{5120}-\frac{94743 (1-2 x)^{5/2} \sqrt{5 x+3}}{20480}+\frac{1042173 (1-2 x)^{3/2} \sqrt{5 x+3}}{409600}+\frac{34391709 \sqrt{1-2 x} \sqrt{5 x+3}}{4096000}+\frac{378308799 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{4096000 \sqrt{10}}","-\frac{47}{400} (1-2 x)^{5/2} (5 x+3)^{7/2}-\frac{3}{70} (1-2 x)^{5/2} (3 x+2) (5 x+3)^{7/2}-\frac{783 (1-2 x)^{5/2} (5 x+3)^{5/2}}{1600}-\frac{8613 (1-2 x)^{5/2} (5 x+3)^{3/2}}{5120}-\frac{94743 (1-2 x)^{5/2} \sqrt{5 x+3}}{20480}+\frac{1042173 (1-2 x)^{3/2} \sqrt{5 x+3}}{409600}+\frac{34391709 \sqrt{1-2 x} \sqrt{5 x+3}}{4096000}+\frac{378308799 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{4096000 \sqrt{10}}",1,"(34391709*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/4096000 + (1042173*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/409600 - (94743*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/20480 - (8613*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/5120 - (783*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/1600 - (47*(1 - 2*x)^(5/2)*(3 + 5*x)^(7/2))/400 - (3*(1 - 2*x)^(5/2)*(2 + 3*x)*(3 + 5*x)^(7/2))/70 + (378308799*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(4096000*Sqrt[10])","A",9,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2351,1,160,0,0.0509546,"\int (1-2 x)^{3/2} (2+3 x) (3+5 x)^{5/2} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^(5/2),x]","-\frac{1}{20} (1-2 x)^{5/2} (5 x+3)^{7/2}-\frac{17}{80} (1-2 x)^{5/2} (5 x+3)^{5/2}-\frac{187}{256} (1-2 x)^{5/2} (5 x+3)^{3/2}-\frac{2057 (1-2 x)^{5/2} \sqrt{5 x+3}}{1024}+\frac{22627 (1-2 x)^{3/2} \sqrt{5 x+3}}{20480}+\frac{746691 \sqrt{1-2 x} \sqrt{5 x+3}}{204800}+\frac{8213601 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{204800 \sqrt{10}}","-\frac{1}{20} (1-2 x)^{5/2} (5 x+3)^{7/2}-\frac{17}{80} (1-2 x)^{5/2} (5 x+3)^{5/2}-\frac{187}{256} (1-2 x)^{5/2} (5 x+3)^{3/2}-\frac{2057 (1-2 x)^{5/2} \sqrt{5 x+3}}{1024}+\frac{22627 (1-2 x)^{3/2} \sqrt{5 x+3}}{20480}+\frac{746691 \sqrt{1-2 x} \sqrt{5 x+3}}{204800}+\frac{8213601 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{204800 \sqrt{10}}",1,"(746691*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/204800 + (22627*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/20480 - (2057*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/1024 - (187*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/256 - (17*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/80 - ((1 - 2*x)^(5/2)*(3 + 5*x)^(7/2))/20 + (8213601*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(204800*Sqrt[10])","A",8,4,24,0.1667,1,"{80, 50, 54, 216}"
2352,1,138,0,0.038584,"\int (1-2 x)^{3/2} (3+5 x)^{5/2} \, dx","Int[(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2),x]","-\frac{1}{10} (5 x+3)^{5/2} (1-2 x)^{5/2}-\frac{11}{32} (5 x+3)^{3/2} (1-2 x)^{5/2}-\frac{121}{128} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{1331 \sqrt{5 x+3} (1-2 x)^{3/2}}{2560}+\frac{43923 \sqrt{5 x+3} \sqrt{1-2 x}}{25600}+\frac{483153 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{25600 \sqrt{10}}","-\frac{1}{10} (5 x+3)^{5/2} (1-2 x)^{5/2}-\frac{11}{32} (5 x+3)^{3/2} (1-2 x)^{5/2}-\frac{121}{128} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{1331 \sqrt{5 x+3} (1-2 x)^{3/2}}{2560}+\frac{43923 \sqrt{5 x+3} \sqrt{1-2 x}}{25600}+\frac{483153 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{25600 \sqrt{10}}",1,"(43923*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/25600 + (1331*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/2560 - (121*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/128 - (11*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/32 - ((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/10 + (483153*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(25600*Sqrt[10])","A",7,3,19,0.1579,1,"{50, 54, 216}"
2353,1,150,0,0.064069,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{2+3 x} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x),x]","\frac{1}{12} (1-2 x)^{3/2} (5 x+3)^{5/2}+\frac{23}{216} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{53}{192} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{15863 \sqrt{1-2 x} \sqrt{5 x+3}}{20736}+\frac{648919 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{62208 \sqrt{10}}+\frac{14}{243} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{1}{12} (1-2 x)^{3/2} (5 x+3)^{5/2}+\frac{23}{216} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{53}{192} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{15863 \sqrt{1-2 x} \sqrt{5 x+3}}{20736}+\frac{648919 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{62208 \sqrt{10}}+\frac{14}{243} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-15863*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/20736 - (53*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/192 + (23*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/216 + ((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/12 + (648919*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(62208*Sqrt[10]) + (14*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/243","A",9,7,26,0.2692,1,"{101, 154, 157, 54, 216, 93, 204}"
2354,1,159,0,0.0645757,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^2,x]","-\frac{8}{27} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{(1-2 x)^{3/2} (5 x+3)^{5/2}}{3 (3 x+2)}+\frac{25}{12} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{3065 \sqrt{1-2 x} \sqrt{5 x+3}}{1296}-\frac{43 \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{3888}-\frac{181}{243} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{8}{27} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{(1-2 x)^{3/2} (5 x+3)^{5/2}}{3 (3 x+2)}+\frac{25}{12} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{3065 \sqrt{1-2 x} \sqrt{5 x+3}}{1296}-\frac{43 \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{3888}-\frac{181}{243} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-3065*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/1296 + (25*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/12 - (8*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/27 - ((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(3*(2 + 3*x)) - (43*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/3888 - (181*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/243","A",9,7,26,0.2692,1,"{97, 154, 157, 54, 216, 93, 204}"
2355,1,166,0,0.063557,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^3,x]","\frac{181 \sqrt{1-2 x} (5 x+3)^{5/2}}{36 (3 x+2)}-\frac{(1-2 x)^{3/2} (5 x+3)^{5/2}}{6 (3 x+2)^2}-\frac{35}{4} \sqrt{1-2 x} (5 x+3)^{3/2}+\frac{185}{27} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{1945}{324} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{6829 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{324 \sqrt{7}}","\frac{181 \sqrt{1-2 x} (5 x+3)^{5/2}}{36 (3 x+2)}-\frac{(1-2 x)^{3/2} (5 x+3)^{5/2}}{6 (3 x+2)^2}-\frac{35}{4} \sqrt{1-2 x} (5 x+3)^{3/2}+\frac{185}{27} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{1945}{324} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{6829 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{324 \sqrt{7}}",1,"(185*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/27 - (35*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/4 - ((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(6*(2 + 3*x)^2) + (181*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(36*(2 + 3*x)) + (1945*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/324 + (6829*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(324*Sqrt[7])","A",9,8,26,0.3077,1,"{97, 149, 154, 157, 54, 216, 93, 204}"
2356,1,171,0,0.0671226,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^4,x]","\frac{181 \sqrt{1-2 x} (5 x+3)^{5/2}}{108 (3 x+2)^2}-\frac{(1-2 x)^{3/2} (5 x+3)^{5/2}}{9 (3 x+2)^3}+\frac{331 \sqrt{1-2 x} (5 x+3)^{3/2}}{168 (3 x+2)}-\frac{39745 \sqrt{1-2 x} \sqrt{5 x+3}}{4536}-\frac{575}{243} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{326717 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{13608 \sqrt{7}}","\frac{181 \sqrt{1-2 x} (5 x+3)^{5/2}}{108 (3 x+2)^2}-\frac{(1-2 x)^{3/2} (5 x+3)^{5/2}}{9 (3 x+2)^3}+\frac{331 \sqrt{1-2 x} (5 x+3)^{3/2}}{168 (3 x+2)}-\frac{39745 \sqrt{1-2 x} \sqrt{5 x+3}}{4536}-\frac{575}{243} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{326717 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{13608 \sqrt{7}}",1,"(-39745*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/4536 + (331*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(168*(2 + 3*x)) - ((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(9*(2 + 3*x)^3) + (181*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(108*(2 + 3*x)^2) - (575*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/243 - (326717*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(13608*Sqrt[7])","A",9,8,26,0.3077,1,"{97, 149, 154, 157, 54, 216, 93, 204}"
2357,1,178,0,0.063871,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^5,x]","\frac{181 \sqrt{1-2 x} (5 x+3)^{5/2}}{216 (3 x+2)^3}-\frac{(1-2 x)^{3/2} (5 x+3)^{5/2}}{12 (3 x+2)^4}-\frac{871 \sqrt{1-2 x} (5 x+3)^{3/2}}{6048 (3 x+2)^2}-\frac{77269 \sqrt{1-2 x} \sqrt{5 x+3}}{254016 (3 x+2)}+\frac{100}{243} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{1922677 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{762048 \sqrt{7}}","\frac{181 \sqrt{1-2 x} (5 x+3)^{5/2}}{216 (3 x+2)^3}-\frac{(1-2 x)^{3/2} (5 x+3)^{5/2}}{12 (3 x+2)^4}-\frac{871 \sqrt{1-2 x} (5 x+3)^{3/2}}{6048 (3 x+2)^2}-\frac{77269 \sqrt{1-2 x} \sqrt{5 x+3}}{254016 (3 x+2)}+\frac{100}{243} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{1922677 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{762048 \sqrt{7}}",1,"(-77269*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(254016*(2 + 3*x)) - (871*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(6048*(2 + 3*x)^2) - ((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(12*(2 + 3*x)^4) + (181*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(216*(2 + 3*x)^3) + (100*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/243 - (1922677*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(762048*Sqrt[7])","A",9,7,26,0.2692,1,"{97, 149, 157, 54, 216, 93, 204}"
2358,1,180,0,0.053783,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^6,x]","\frac{33 \sqrt{1-2 x} (5 x+3)^{7/2}}{40 (3 x+2)^4}+\frac{(1-2 x)^{3/2} (5 x+3)^{7/2}}{5 (3 x+2)^5}-\frac{121 \sqrt{1-2 x} (5 x+3)^{5/2}}{560 (3 x+2)^3}-\frac{1331 \sqrt{1-2 x} (5 x+3)^{3/2}}{3136 (3 x+2)^2}-\frac{43923 \sqrt{1-2 x} \sqrt{5 x+3}}{43904 (3 x+2)}-\frac{483153 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{43904 \sqrt{7}}","\frac{33 \sqrt{1-2 x} (5 x+3)^{7/2}}{40 (3 x+2)^4}+\frac{(1-2 x)^{3/2} (5 x+3)^{7/2}}{5 (3 x+2)^5}-\frac{121 \sqrt{1-2 x} (5 x+3)^{5/2}}{560 (3 x+2)^3}-\frac{1331 \sqrt{1-2 x} (5 x+3)^{3/2}}{3136 (3 x+2)^2}-\frac{43923 \sqrt{1-2 x} \sqrt{5 x+3}}{43904 (3 x+2)}-\frac{483153 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{43904 \sqrt{7}}",1,"(-43923*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(43904*(2 + 3*x)) - (1331*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(3136*(2 + 3*x)^2) - (121*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(560*(2 + 3*x)^3) + ((1 - 2*x)^(3/2)*(3 + 5*x)^(7/2))/(5*(2 + 3*x)^5) + (33*Sqrt[1 - 2*x]*(3 + 5*x)^(7/2))/(40*(2 + 3*x)^4) - (483153*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(43904*Sqrt[7])","A",7,3,26,0.1154,1,"{94, 93, 204}"
2359,1,209,0,0.0708929,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^7,x]","\frac{297 \sqrt{1-2 x} (5 x+3)^{7/2}}{160 (3 x+2)^4}+\frac{9 (1-2 x)^{3/2} (5 x+3)^{7/2}}{20 (3 x+2)^5}+\frac{(1-2 x)^{5/2} (5 x+3)^{7/2}}{14 (3 x+2)^6}-\frac{1089 \sqrt{1-2 x} (5 x+3)^{5/2}}{2240 (3 x+2)^3}-\frac{11979 \sqrt{1-2 x} (5 x+3)^{3/2}}{12544 (3 x+2)^2}-\frac{395307 \sqrt{1-2 x} \sqrt{5 x+3}}{175616 (3 x+2)}-\frac{4348377 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{175616 \sqrt{7}}","\frac{297 \sqrt{1-2 x} (5 x+3)^{7/2}}{160 (3 x+2)^4}+\frac{9 (1-2 x)^{3/2} (5 x+3)^{7/2}}{20 (3 x+2)^5}+\frac{(1-2 x)^{5/2} (5 x+3)^{7/2}}{14 (3 x+2)^6}-\frac{1089 \sqrt{1-2 x} (5 x+3)^{5/2}}{2240 (3 x+2)^3}-\frac{11979 \sqrt{1-2 x} (5 x+3)^{3/2}}{12544 (3 x+2)^2}-\frac{395307 \sqrt{1-2 x} \sqrt{5 x+3}}{175616 (3 x+2)}-\frac{4348377 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{175616 \sqrt{7}}",1,"(-395307*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(175616*(2 + 3*x)) - (11979*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(12544*(2 + 3*x)^2) - (1089*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2240*(2 + 3*x)^3) + ((1 - 2*x)^(5/2)*(3 + 5*x)^(7/2))/(14*(2 + 3*x)^6) + (9*(1 - 2*x)^(3/2)*(3 + 5*x)^(7/2))/(20*(2 + 3*x)^5) + (297*Sqrt[1 - 2*x]*(3 + 5*x)^(7/2))/(160*(2 + 3*x)^4) - (4348377*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(175616*Sqrt[7])","A",8,4,26,0.1538,1,"{96, 94, 93, 204}"
2360,1,238,0,0.0960751,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^8} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^8,x]","\frac{181 \sqrt{1-2 x} (5 x+3)^{5/2}}{756 (3 x+2)^6}-\frac{(1-2 x)^{3/2} (5 x+3)^{5/2}}{21 (3 x+2)^7}-\frac{12421 \sqrt{1-2 x} (5 x+3)^{3/2}}{52920 (3 x+2)^5}+\frac{23466191827 \sqrt{1-2 x} \sqrt{5 x+3}}{4182119424 (3 x+2)}+\frac{224018941 \sqrt{1-2 x} \sqrt{5 x+3}}{298722816 (3 x+2)^2}+\frac{6249601 \sqrt{1-2 x} \sqrt{5 x+3}}{53343360 (3 x+2)^3}-\frac{1289227 \sqrt{1-2 x} \sqrt{5 x+3}}{8890560 (3 x+2)^4}-\frac{1104970911 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{17210368 \sqrt{7}}","\frac{181 \sqrt{1-2 x} (5 x+3)^{5/2}}{756 (3 x+2)^6}-\frac{(1-2 x)^{3/2} (5 x+3)^{5/2}}{21 (3 x+2)^7}-\frac{12421 \sqrt{1-2 x} (5 x+3)^{3/2}}{52920 (3 x+2)^5}+\frac{23466191827 \sqrt{1-2 x} \sqrt{5 x+3}}{4182119424 (3 x+2)}+\frac{224018941 \sqrt{1-2 x} \sqrt{5 x+3}}{298722816 (3 x+2)^2}+\frac{6249601 \sqrt{1-2 x} \sqrt{5 x+3}}{53343360 (3 x+2)^3}-\frac{1289227 \sqrt{1-2 x} \sqrt{5 x+3}}{8890560 (3 x+2)^4}-\frac{1104970911 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{17210368 \sqrt{7}}",1,"(-1289227*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(8890560*(2 + 3*x)^4) + (6249601*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(53343360*(2 + 3*x)^3) + (224018941*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(298722816*(2 + 3*x)^2) + (23466191827*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(4182119424*(2 + 3*x)) - (12421*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(52920*(2 + 3*x)^5) - ((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(21*(2 + 3*x)^7) + (181*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(756*(2 + 3*x)^6) - (1104970911*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(17210368*Sqrt[7])","A",10,6,26,0.2308,1,"{97, 149, 151, 12, 93, 204}"
2361,1,128,0,0.0374545,"\int \frac{(1-2 x)^{3/2} (2+3 x)^3}{\sqrt{3+5 x}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^3)/Sqrt[3 + 5*x],x]","-\frac{3 \sqrt{5 x+3} (11580 x+14629) (1-2 x)^{5/2}}{80000}-\frac{3}{50} (3 x+2)^2 \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{51373 \sqrt{5 x+3} (1-2 x)^{3/2}}{320000}+\frac{1695309 \sqrt{5 x+3} \sqrt{1-2 x}}{3200000}+\frac{18648399 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{3200000 \sqrt{10}}","-\frac{3 \sqrt{5 x+3} (11580 x+14629) (1-2 x)^{5/2}}{80000}-\frac{3}{50} (3 x+2)^2 \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{51373 \sqrt{5 x+3} (1-2 x)^{3/2}}{320000}+\frac{1695309 \sqrt{5 x+3} \sqrt{1-2 x}}{3200000}+\frac{18648399 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{3200000 \sqrt{10}}",1,"(1695309*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/3200000 + (51373*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/320000 - (3*(1 - 2*x)^(5/2)*(2 + 3*x)^2*Sqrt[3 + 5*x])/50 - (3*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x]*(14629 + 11580*x))/80000 + (18648399*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(3200000*Sqrt[10])","A",6,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2362,1,121,0,0.0310465,"\int \frac{(1-2 x)^{3/2} (2+3 x)^2}{\sqrt{3+5 x}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^2)/Sqrt[3 + 5*x],x]","-\frac{3}{40} (3 x+2) \sqrt{5 x+3} (1-2 x)^{5/2}-\frac{119}{800} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{301 \sqrt{5 x+3} (1-2 x)^{3/2}}{3200}+\frac{9933 \sqrt{5 x+3} \sqrt{1-2 x}}{32000}+\frac{109263 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{32000 \sqrt{10}}","-\frac{3}{40} (3 x+2) \sqrt{5 x+3} (1-2 x)^{5/2}-\frac{119}{800} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{301 \sqrt{5 x+3} (1-2 x)^{3/2}}{3200}+\frac{9933 \sqrt{5 x+3} \sqrt{1-2 x}}{32000}+\frac{109263 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{32000 \sqrt{10}}",1,"(9933*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/32000 + (301*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/3200 - (119*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/800 - (3*(1 - 2*x)^(5/2)*(2 + 3*x)*Sqrt[3 + 5*x])/40 + (109263*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(32000*Sqrt[10])","A",6,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2363,1,94,0,0.0229755,"\int \frac{(1-2 x)^{3/2} (2+3 x)}{\sqrt{3+5 x}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x))/Sqrt[3 + 5*x],x]","-\frac{1}{10} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{3}{40} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{99}{400} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{1089 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{400 \sqrt{10}}","-\frac{1}{10} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{3}{40} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{99}{400} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{1089 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{400 \sqrt{10}}",1,"(99*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/400 + (3*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/40 - ((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/10 + (1089*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(400*Sqrt[10])","A",5,4,24,0.1667,1,"{80, 50, 54, 216}"
2364,1,72,0,0.0147747,"\int \frac{(1-2 x)^{3/2}}{\sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(3/2)/Sqrt[3 + 5*x],x]","\frac{1}{10} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{33}{100} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{363 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{100 \sqrt{10}}","\frac{1}{10} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{33}{100} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{363 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{100 \sqrt{10}}",1,"(33*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/100 + ((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/10 + (363*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(100*Sqrt[10])","A",4,3,19,0.1579,1,"{50, 54, 216}"
2365,1,86,0,0.0317635,"\int \frac{(1-2 x)^{3/2}}{(2+3 x) \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)*Sqrt[3 + 5*x]),x]","-\frac{2}{15} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{103}{45} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{14}{9} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{2}{15} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{103}{45} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{14}{9} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/15 - (103*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/45 - (14*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/9","A",6,6,26,0.2308,1,"{102, 157, 54, 216, 93, 204}"
2366,1,93,0,0.0311501,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^2 \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^2*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{1-2 x} \sqrt{5 x+3}}{3 (3 x+2)}+\frac{4}{9} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{29}{9} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{7 \sqrt{1-2 x} \sqrt{5 x+3}}{3 (3 x+2)}+\frac{4}{9} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{29}{9} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(7*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3*(2 + 3*x)) + (4*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/9 - (29*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/9","A",6,6,26,0.2308,1,"{98, 157, 54, 216, 93, 204}"
2367,1,93,0,0.0205677,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^3 \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^3*Sqrt[3 + 5*x]),x]","\frac{\sqrt{5 x+3} (1-2 x)^{3/2}}{2 (3 x+2)^2}+\frac{33 \sqrt{5 x+3} \sqrt{1-2 x}}{4 (3 x+2)}-\frac{363 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{4 \sqrt{7}}","\frac{\sqrt{5 x+3} (1-2 x)^{3/2}}{2 (3 x+2)^2}+\frac{33 \sqrt{5 x+3} \sqrt{1-2 x}}{4 (3 x+2)}-\frac{363 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{4 \sqrt{7}}",1,"((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(2*(2 + 3*x)^2) + (33*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(4*(2 + 3*x)) - (363*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(4*Sqrt[7])","A",4,3,26,0.1154,1,"{94, 93, 204}"
2368,1,122,0,0.0326175,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^4 \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^4*Sqrt[3 + 5*x]),x]","\frac{\sqrt{5 x+3} (1-2 x)^{5/2}}{7 (3 x+2)^3}+\frac{59 \sqrt{5 x+3} (1-2 x)^{3/2}}{28 (3 x+2)^2}+\frac{1947 \sqrt{5 x+3} \sqrt{1-2 x}}{56 (3 x+2)}-\frac{21417 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{56 \sqrt{7}}","\frac{\sqrt{5 x+3} (1-2 x)^{5/2}}{7 (3 x+2)^3}+\frac{59 \sqrt{5 x+3} (1-2 x)^{3/2}}{28 (3 x+2)^2}+\frac{1947 \sqrt{5 x+3} \sqrt{1-2 x}}{56 (3 x+2)}-\frac{21417 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{56 \sqrt{7}}",1,"((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(7*(2 + 3*x)^3) + (59*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(28*(2 + 3*x)^2) + (1947*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(56*(2 + 3*x)) - (21417*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(56*Sqrt[7])","A",5,4,26,0.1538,1,"{96, 94, 93, 204}"
2369,1,151,0,0.0511007,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^5 \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^5*Sqrt[3 + 5*x]),x]","\frac{4148797 \sqrt{1-2 x} \sqrt{5 x+3}}{28224 (3 x+2)}+\frac{39667 \sqrt{1-2 x} \sqrt{5 x+3}}{2016 (3 x+2)^2}+\frac{227 \sqrt{1-2 x} \sqrt{5 x+3}}{72 (3 x+2)^3}+\frac{7 \sqrt{1-2 x} \sqrt{5 x+3}}{12 (3 x+2)^4}-\frac{5274027 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{3136 \sqrt{7}}","\frac{4148797 \sqrt{1-2 x} \sqrt{5 x+3}}{28224 (3 x+2)}+\frac{39667 \sqrt{1-2 x} \sqrt{5 x+3}}{2016 (3 x+2)^2}+\frac{227 \sqrt{1-2 x} \sqrt{5 x+3}}{72 (3 x+2)^3}+\frac{7 \sqrt{1-2 x} \sqrt{5 x+3}}{12 (3 x+2)^4}-\frac{5274027 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{3136 \sqrt{7}}",1,"(7*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(12*(2 + 3*x)^4) + (227*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(72*(2 + 3*x)^3) + (39667*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2016*(2 + 3*x)^2) + (4148797*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(28224*(2 + 3*x)) - (5274027*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(3136*Sqrt[7])","A",7,5,26,0.1923,1,"{98, 151, 12, 93, 204}"
2370,1,180,0,0.06689,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^6 \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^6*Sqrt[3 + 5*x]),x]","\frac{87374783 \sqrt{1-2 x} \sqrt{5 x+3}}{131712 (3 x+2)}+\frac{835409 \sqrt{1-2 x} \sqrt{5 x+3}}{9408 (3 x+2)^2}+\frac{23909 \sqrt{1-2 x} \sqrt{5 x+3}}{1680 (3 x+2)^3}+\frac{293 \sqrt{1-2 x} \sqrt{5 x+3}}{120 (3 x+2)^4}+\frac{7 \sqrt{1-2 x} \sqrt{5 x+3}}{15 (3 x+2)^5}-\frac{333216939 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{43904 \sqrt{7}}","\frac{87374783 \sqrt{1-2 x} \sqrt{5 x+3}}{131712 (3 x+2)}+\frac{835409 \sqrt{1-2 x} \sqrt{5 x+3}}{9408 (3 x+2)^2}+\frac{23909 \sqrt{1-2 x} \sqrt{5 x+3}}{1680 (3 x+2)^3}+\frac{293 \sqrt{1-2 x} \sqrt{5 x+3}}{120 (3 x+2)^4}+\frac{7 \sqrt{1-2 x} \sqrt{5 x+3}}{15 (3 x+2)^5}-\frac{333216939 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{43904 \sqrt{7}}",1,"(7*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(15*(2 + 3*x)^5) + (293*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(120*(2 + 3*x)^4) + (23909*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1680*(2 + 3*x)^3) + (835409*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(9408*(2 + 3*x)^2) + (87374783*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(131712*(2 + 3*x)) - (333216939*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(43904*Sqrt[7])","A",8,5,26,0.1923,1,"{98, 151, 12, 93, 204}"
2371,1,135,0,0.0368265,"\int \frac{(1-2 x)^{3/2} (2+3 x)^3}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^3)/(3 + 5*x)^(3/2),x]","-\frac{2 (1-2 x)^{3/2} (3 x+2)^3}{5 \sqrt{5 x+3}}+\frac{27}{100} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^2-\frac{63 (35-8 x) (1-2 x)^{3/2} \sqrt{5 x+3}}{16000}+\frac{35511 \sqrt{1-2 x} \sqrt{5 x+3}}{160000}+\frac{390621 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{160000 \sqrt{10}}","-\frac{2 (1-2 x)^{3/2} (3 x+2)^3}{5 \sqrt{5 x+3}}+\frac{27}{100} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^2-\frac{63 (35-8 x) (1-2 x)^{3/2} \sqrt{5 x+3}}{16000}+\frac{35511 \sqrt{1-2 x} \sqrt{5 x+3}}{160000}+\frac{390621 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{160000 \sqrt{10}}",1,"(-2*(1 - 2*x)^(3/2)*(2 + 3*x)^3)/(5*Sqrt[3 + 5*x]) + (35511*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/160000 - (63*(35 - 8*x)*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/16000 + (27*(1 - 2*x)^(3/2)*(2 + 3*x)^2*Sqrt[3 + 5*x])/100 + (390621*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(160000*Sqrt[10])","A",6,6,26,0.2308,1,"{97, 153, 147, 50, 54, 216}"
2372,1,116,0,0.0313429,"\int \frac{(1-2 x)^{3/2} (2+3 x)^2}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^2)/(3 + 5*x)^(3/2),x]","-\frac{3}{50} \sqrt{5 x+3} (1-2 x)^{5/2}-\frac{2 (1-2 x)^{5/2}}{275 \sqrt{5 x+3}}+\frac{119 \sqrt{5 x+3} (1-2 x)^{3/2}}{2200}+\frac{357 \sqrt{5 x+3} \sqrt{1-2 x}}{2000}+\frac{3927 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2000 \sqrt{10}}","-\frac{3}{50} \sqrt{5 x+3} (1-2 x)^{5/2}-\frac{2 (1-2 x)^{5/2}}{275 \sqrt{5 x+3}}+\frac{119 \sqrt{5 x+3} (1-2 x)^{3/2}}{2200}+\frac{357 \sqrt{5 x+3} \sqrt{1-2 x}}{2000}+\frac{3927 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2000 \sqrt{10}}",1,"(-2*(1 - 2*x)^(5/2))/(275*Sqrt[3 + 5*x]) + (357*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/2000 + (119*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/2200 - (3*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/50 + (3927*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(2000*Sqrt[10])","A",6,5,26,0.1923,1,"{89, 80, 50, 54, 216}"
2373,1,94,0,0.022091,"\int \frac{(1-2 x)^{3/2} (2+3 x)}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x))/(3 + 5*x)^(3/2),x]","-\frac{2 (1-2 x)^{5/2}}{55 \sqrt{5 x+3}}+\frac{1}{22} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{3}{20} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{33 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{20 \sqrt{10}}","-\frac{2 (1-2 x)^{5/2}}{55 \sqrt{5 x+3}}+\frac{1}{22} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{3}{20} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{33 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{20 \sqrt{10}}",1,"(-2*(1 - 2*x)^(5/2))/(55*Sqrt[3 + 5*x]) + (3*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/20 + ((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/22 + (33*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(20*Sqrt[10])","A",5,4,24,0.1667,1,"{78, 50, 54, 216}"
2374,1,74,0,0.0152444,"\int \frac{(1-2 x)^{3/2}}{(3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(3/2)/(3 + 5*x)^(3/2),x]","-\frac{2 (1-2 x)^{3/2}}{5 \sqrt{5 x+3}}-\frac{6}{25} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{33}{25} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","-\frac{2 (1-2 x)^{3/2}}{5 \sqrt{5 x+3}}-\frac{6}{25} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{33}{25} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(-2*(1 - 2*x)^(3/2))/(5*Sqrt[3 + 5*x]) - (6*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/25 - (33*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/25","A",4,4,19,0.2105,1,"{47, 50, 54, 216}"
2375,1,86,0,0.0305258,"\int \frac{(1-2 x)^{3/2}}{(2+3 x) (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)*(3 + 5*x)^(3/2)),x]","-\frac{22 \sqrt{1-2 x}}{5 \sqrt{5 x+3}}+\frac{4}{15} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{14}{3} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{22 \sqrt{1-2 x}}{5 \sqrt{5 x+3}}+\frac{4}{15} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{14}{3} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-22*Sqrt[1 - 2*x])/(5*Sqrt[3 + 5*x]) + (4*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/15 + (14*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/3","A",6,6,26,0.2308,1,"{98, 157, 54, 216, 93, 204}"
2376,1,79,0,0.0220951,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^2 (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^2*(3 + 5*x)^(3/2)),x]","\frac{(1-2 x)^{3/2}}{(3 x+2) \sqrt{5 x+3}}-\frac{33 \sqrt{1-2 x}}{\sqrt{5 x+3}}+33 \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{(1-2 x)^{3/2}}{(3 x+2) \sqrt{5 x+3}}-\frac{33 \sqrt{1-2 x}}{\sqrt{5 x+3}}+33 \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-33*Sqrt[1 - 2*x])/Sqrt[3 + 5*x] + (1 - 2*x)^(3/2)/((2 + 3*x)*Sqrt[3 + 5*x]) + 33*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])]","A",4,3,26,0.1154,1,"{94, 93, 204}"
2377,1,115,0,0.0288694,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^3 (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^3*(3 + 5*x)^(3/2)),x]","\frac{3 (1-2 x)^{5/2}}{14 (3 x+2)^2 \sqrt{5 x+3}}+\frac{173 (1-2 x)^{3/2}}{28 (3 x+2) \sqrt{5 x+3}}-\frac{5709 \sqrt{1-2 x}}{28 \sqrt{5 x+3}}+\frac{5709 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{4 \sqrt{7}}","\frac{3 (1-2 x)^{5/2}}{14 (3 x+2)^2 \sqrt{5 x+3}}+\frac{173 (1-2 x)^{3/2}}{28 (3 x+2) \sqrt{5 x+3}}-\frac{5709 \sqrt{1-2 x}}{28 \sqrt{5 x+3}}+\frac{5709 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{4 \sqrt{7}}",1,"(-5709*Sqrt[1 - 2*x])/(28*Sqrt[3 + 5*x]) + (3*(1 - 2*x)^(5/2))/(14*(2 + 3*x)^2*Sqrt[3 + 5*x]) + (173*(1 - 2*x)^(3/2))/(28*(2 + 3*x)*Sqrt[3 + 5*x]) + (5709*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(4*Sqrt[7])","A",5,4,26,0.1538,1,"{96, 94, 93, 204}"
2378,1,144,0,0.0475551,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^4 (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^4*(3 + 5*x)^(3/2)),x]","-\frac{608185 \sqrt{1-2 x}}{504 \sqrt{5 x+3}}+\frac{13409 \sqrt{1-2 x}}{168 (3 x+2) \sqrt{5 x+3}}+\frac{77 \sqrt{1-2 x}}{12 (3 x+2)^2 \sqrt{5 x+3}}+\frac{7 \sqrt{1-2 x}}{9 (3 x+2)^3 \sqrt{5 x+3}}+\frac{463881 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{56 \sqrt{7}}","-\frac{608185 \sqrt{1-2 x}}{504 \sqrt{5 x+3}}+\frac{13409 \sqrt{1-2 x}}{168 (3 x+2) \sqrt{5 x+3}}+\frac{77 \sqrt{1-2 x}}{12 (3 x+2)^2 \sqrt{5 x+3}}+\frac{7 \sqrt{1-2 x}}{9 (3 x+2)^3 \sqrt{5 x+3}}+\frac{463881 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{56 \sqrt{7}}",1,"(-608185*Sqrt[1 - 2*x])/(504*Sqrt[3 + 5*x]) + (7*Sqrt[1 - 2*x])/(9*(2 + 3*x)^3*Sqrt[3 + 5*x]) + (77*Sqrt[1 - 2*x])/(12*(2 + 3*x)^2*Sqrt[3 + 5*x]) + (13409*Sqrt[1 - 2*x])/(168*(2 + 3*x)*Sqrt[3 + 5*x]) + (463881*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(56*Sqrt[7])","A",7,6,26,0.2308,1,"{98, 151, 152, 12, 93, 204}"
2379,1,173,0,0.0646826,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^5 (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^5*(3 + 5*x)^(3/2)),x]","-\frac{63678595 \sqrt{1-2 x}}{9408 \sqrt{5 x+3}}+\frac{1403963 \sqrt{1-2 x}}{3136 (3 x+2) \sqrt{5 x+3}}+\frac{8063 \sqrt{1-2 x}}{224 (3 x+2)^2 \sqrt{5 x+3}}+\frac{33 \sqrt{1-2 x}}{8 (3 x+2)^3 \sqrt{5 x+3}}+\frac{7 \sqrt{1-2 x}}{12 (3 x+2)^4 \sqrt{5 x+3}}+\frac{145708761 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{3136 \sqrt{7}}","-\frac{63678595 \sqrt{1-2 x}}{9408 \sqrt{5 x+3}}+\frac{1403963 \sqrt{1-2 x}}{3136 (3 x+2) \sqrt{5 x+3}}+\frac{8063 \sqrt{1-2 x}}{224 (3 x+2)^2 \sqrt{5 x+3}}+\frac{33 \sqrt{1-2 x}}{8 (3 x+2)^3 \sqrt{5 x+3}}+\frac{7 \sqrt{1-2 x}}{12 (3 x+2)^4 \sqrt{5 x+3}}+\frac{145708761 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{3136 \sqrt{7}}",1,"(-63678595*Sqrt[1 - 2*x])/(9408*Sqrt[3 + 5*x]) + (7*Sqrt[1 - 2*x])/(12*(2 + 3*x)^4*Sqrt[3 + 5*x]) + (33*Sqrt[1 - 2*x])/(8*(2 + 3*x)^3*Sqrt[3 + 5*x]) + (8063*Sqrt[1 - 2*x])/(224*(2 + 3*x)^2*Sqrt[3 + 5*x]) + (1403963*Sqrt[1 - 2*x])/(3136*(2 + 3*x)*Sqrt[3 + 5*x]) + (145708761*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(3136*Sqrt[7])","A",8,6,26,0.2308,1,"{98, 151, 152, 12, 93, 204}"
2380,1,142,0,0.0427989,"\int \frac{(1-2 x)^{3/2} (2+3 x)^3}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^3)/(3 + 5*x)^(5/2),x]","-\frac{128 \sqrt{1-2 x} (3 x+2)^3}{25 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{3/2} (3 x+2)^3}{15 (5 x+3)^{3/2}}+\frac{378}{125} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2+\frac{21 \sqrt{1-2 x} \sqrt{5 x+3} (1140 x+853)}{10000}+\frac{13153 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{10000 \sqrt{10}}","-\frac{128 \sqrt{1-2 x} (3 x+2)^3}{25 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{3/2} (3 x+2)^3}{15 (5 x+3)^{3/2}}+\frac{378}{125} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2+\frac{21 \sqrt{1-2 x} \sqrt{5 x+3} (1140 x+853)}{10000}+\frac{13153 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{10000 \sqrt{10}}",1,"(-2*(1 - 2*x)^(3/2)*(2 + 3*x)^3)/(15*(3 + 5*x)^(3/2)) - (128*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(25*Sqrt[3 + 5*x]) + (378*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/125 + (21*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(853 + 1140*x))/10000 + (13153*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(10000*Sqrt[10])","A",6,6,26,0.2308,1,"{97, 150, 153, 147, 54, 216}"
2381,1,116,0,0.0288644,"\int \frac{(1-2 x)^{3/2} (2+3 x)^2}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^2)/(3 + 5*x)^(5/2),x]","-\frac{388 (1-2 x)^{5/2}}{9075 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{5/2}}{825 (5 x+3)^{3/2}}+\frac{343 \sqrt{5 x+3} (1-2 x)^{3/2}}{18150}+\frac{343 \sqrt{5 x+3} \sqrt{1-2 x}}{5500}+\frac{343 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{500 \sqrt{10}}","-\frac{388 (1-2 x)^{5/2}}{9075 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{5/2}}{825 (5 x+3)^{3/2}}+\frac{343 \sqrt{5 x+3} (1-2 x)^{3/2}}{18150}+\frac{343 \sqrt{5 x+3} \sqrt{1-2 x}}{5500}+\frac{343 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{500 \sqrt{10}}",1,"(-2*(1 - 2*x)^(5/2))/(825*(3 + 5*x)^(3/2)) - (388*(1 - 2*x)^(5/2))/(9075*Sqrt[3 + 5*x]) + (343*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/5500 + (343*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/18150 + (343*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(500*Sqrt[10])","A",6,5,26,0.1923,1,"{89, 78, 50, 54, 216}"
2382,1,96,0,0.0206144,"\int \frac{(1-2 x)^{3/2} (2+3 x)}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x))/(3 + 5*x)^(5/2),x]","-\frac{2 (1-2 x)^{5/2}}{165 (5 x+3)^{3/2}}-\frac{38 (1-2 x)^{3/2}}{165 \sqrt{5 x+3}}-\frac{38}{275} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{19}{25} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","-\frac{2 (1-2 x)^{5/2}}{165 (5 x+3)^{3/2}}-\frac{38 (1-2 x)^{3/2}}{165 \sqrt{5 x+3}}-\frac{38}{275} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{19}{25} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(-2*(1 - 2*x)^(5/2))/(165*(3 + 5*x)^(3/2)) - (38*(1 - 2*x)^(3/2))/(165*Sqrt[3 + 5*x]) - (38*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/275 - (19*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/25","A",5,5,24,0.2083,1,"{78, 47, 50, 54, 216}"
2383,1,74,0,0.0142955,"\int \frac{(1-2 x)^{3/2}}{(3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(3/2)/(3 + 5*x)^(5/2),x]","-\frac{2 (1-2 x)^{3/2}}{15 (5 x+3)^{3/2}}+\frac{4 \sqrt{1-2 x}}{25 \sqrt{5 x+3}}+\frac{4}{25} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","-\frac{2 (1-2 x)^{3/2}}{15 (5 x+3)^{3/2}}+\frac{4 \sqrt{1-2 x}}{25 \sqrt{5 x+3}}+\frac{4}{25} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(-2*(1 - 2*x)^(3/2))/(15*(3 + 5*x)^(3/2)) + (4*Sqrt[1 - 2*x])/(25*Sqrt[3 + 5*x]) + (4*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/25","A",4,3,19,0.1579,1,"{47, 54, 216}"
2384,1,75,0,0.0195461,"\int \frac{(1-2 x)^{3/2}}{(2+3 x) (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)*(3 + 5*x)^(5/2)),x]","-\frac{2 (1-2 x)^{3/2}}{3 (5 x+3)^{3/2}}+\frac{14 \sqrt{1-2 x}}{\sqrt{5 x+3}}-14 \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{2 (1-2 x)^{3/2}}{3 (5 x+3)^{3/2}}+\frac{14 \sqrt{1-2 x}}{\sqrt{5 x+3}}-14 \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-2*(1 - 2*x)^(3/2))/(3*(3 + 5*x)^(3/2)) + (14*Sqrt[1 - 2*x])/Sqrt[3 + 5*x] - 14*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])]","A",4,3,26,0.1154,1,"{94, 93, 204}"
2385,1,104,0,0.0281761,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^2 (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^2*(3 + 5*x)^(5/2)),x]","\frac{3 (1-2 x)^{5/2}}{7 (3 x+2) (5 x+3)^{3/2}}-\frac{169 (1-2 x)^{3/2}}{21 (5 x+3)^{3/2}}+\frac{169 \sqrt{1-2 x}}{\sqrt{5 x+3}}-169 \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{3 (1-2 x)^{5/2}}{7 (3 x+2) (5 x+3)^{3/2}}-\frac{169 (1-2 x)^{3/2}}{21 (5 x+3)^{3/2}}+\frac{169 \sqrt{1-2 x}}{\sqrt{5 x+3}}-169 \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-169*(1 - 2*x)^(3/2))/(21*(3 + 5*x)^(3/2)) + (3*(1 - 2*x)^(5/2))/(7*(2 + 3*x)*(3 + 5*x)^(3/2)) + (169*Sqrt[1 - 2*x])/Sqrt[3 + 5*x] - 169*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])]","A",5,4,26,0.1538,1,"{96, 94, 93, 204}"
2386,1,137,0,0.0474379,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^3 (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^3*(3 + 5*x)^(5/2)),x]","\frac{17825 \sqrt{1-2 x}}{12 \sqrt{5 x+3}}-\frac{655 \sqrt{1-2 x}}{4 (5 x+3)^{3/2}}+\frac{235 \sqrt{1-2 x}}{12 (3 x+2) (5 x+3)^{3/2}}+\frac{7 \sqrt{1-2 x}}{6 (3 x+2)^2 (5 x+3)^{3/2}}-\frac{40787 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{4 \sqrt{7}}","\frac{17825 \sqrt{1-2 x}}{12 \sqrt{5 x+3}}-\frac{655 \sqrt{1-2 x}}{4 (5 x+3)^{3/2}}+\frac{235 \sqrt{1-2 x}}{12 (3 x+2) (5 x+3)^{3/2}}+\frac{7 \sqrt{1-2 x}}{6 (3 x+2)^2 (5 x+3)^{3/2}}-\frac{40787 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{4 \sqrt{7}}",1,"(-655*Sqrt[1 - 2*x])/(4*(3 + 5*x)^(3/2)) + (7*Sqrt[1 - 2*x])/(6*(2 + 3*x)^2*(3 + 5*x)^(3/2)) + (235*Sqrt[1 - 2*x])/(12*(2 + 3*x)*(3 + 5*x)^(3/2)) + (17825*Sqrt[1 - 2*x])/(12*Sqrt[3 + 5*x]) - (40787*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(4*Sqrt[7])","A",7,6,26,0.2308,1,"{98, 151, 152, 12, 93, 204}"
2387,1,166,0,0.0591056,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^4 (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^4*(3 + 5*x)^(5/2)),x]","\frac{618645 \sqrt{1-2 x}}{56 \sqrt{5 x+3}}-\frac{204595 \sqrt{1-2 x}}{168 (5 x+3)^{3/2}}+\frac{24469 \sqrt{1-2 x}}{168 (3 x+2) (5 x+3)^{3/2}}+\frac{301 \sqrt{1-2 x}}{36 (3 x+2)^2 (5 x+3)^{3/2}}+\frac{7 \sqrt{1-2 x}}{9 (3 x+2)^3 (5 x+3)^{3/2}}-\frac{4246733 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{56 \sqrt{7}}","\frac{618645 \sqrt{1-2 x}}{56 \sqrt{5 x+3}}-\frac{204595 \sqrt{1-2 x}}{168 (5 x+3)^{3/2}}+\frac{24469 \sqrt{1-2 x}}{168 (3 x+2) (5 x+3)^{3/2}}+\frac{301 \sqrt{1-2 x}}{36 (3 x+2)^2 (5 x+3)^{3/2}}+\frac{7 \sqrt{1-2 x}}{9 (3 x+2)^3 (5 x+3)^{3/2}}-\frac{4246733 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{56 \sqrt{7}}",1,"(-204595*Sqrt[1 - 2*x])/(168*(3 + 5*x)^(3/2)) + (7*Sqrt[1 - 2*x])/(9*(2 + 3*x)^3*(3 + 5*x)^(3/2)) + (301*Sqrt[1 - 2*x])/(36*(2 + 3*x)^2*(3 + 5*x)^(3/2)) + (24469*Sqrt[1 - 2*x])/(168*(2 + 3*x)*(3 + 5*x)^(3/2)) + (618645*Sqrt[1 - 2*x])/(56*Sqrt[3 + 5*x]) - (4246733*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(56*Sqrt[7])","A",8,6,26,0.2308,1,"{98, 151, 152, 12, 93, 204}"
2388,1,172,0,0.0524287,"\int (1-2 x)^{5/2} (2+3 x)^3 \sqrt{3+5 x} \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^3*Sqrt[3 + 5*x],x]","-\frac{3}{70} (3 x+2)^2 (5 x+3)^{3/2} (1-2 x)^{7/2}-\frac{3 (5 x+3)^{3/2} (26700 x+33857) (1-2 x)^{7/2}}{280000}-\frac{255169 \sqrt{5 x+3} (1-2 x)^{7/2}}{640000}+\frac{2806859 \sqrt{5 x+3} (1-2 x)^{5/2}}{19200000}+\frac{30875449 \sqrt{5 x+3} (1-2 x)^{3/2}}{76800000}+\frac{339629939 \sqrt{5 x+3} \sqrt{1-2 x}}{256000000}+\frac{3735929329 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{256000000 \sqrt{10}}","-\frac{3}{70} (3 x+2)^2 (5 x+3)^{3/2} (1-2 x)^{7/2}-\frac{3 (5 x+3)^{3/2} (26700 x+33857) (1-2 x)^{7/2}}{280000}-\frac{255169 \sqrt{5 x+3} (1-2 x)^{7/2}}{640000}+\frac{2806859 \sqrt{5 x+3} (1-2 x)^{5/2}}{19200000}+\frac{30875449 \sqrt{5 x+3} (1-2 x)^{3/2}}{76800000}+\frac{339629939 \sqrt{5 x+3} \sqrt{1-2 x}}{256000000}+\frac{3735929329 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{256000000 \sqrt{10}}",1,"(339629939*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/256000000 + (30875449*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/76800000 + (2806859*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/19200000 - (255169*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/640000 - (3*(1 - 2*x)^(7/2)*(2 + 3*x)^2*(3 + 5*x)^(3/2))/70 - (3*(1 - 2*x)^(7/2)*(3 + 5*x)^(3/2)*(33857 + 26700*x))/280000 + (3735929329*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(256000000*Sqrt[10])","A",8,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2389,1,165,0,0.0511839,"\int (1-2 x)^{5/2} (2+3 x)^2 \sqrt{3+5 x} \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^2*Sqrt[3 + 5*x],x]","-\frac{1}{20} (3 x+2) (5 x+3)^{3/2} (1-2 x)^{7/2}-\frac{193 (5 x+3)^{3/2} (1-2 x)^{7/2}}{2000}-\frac{7189 \sqrt{5 x+3} (1-2 x)^{7/2}}{32000}+\frac{79079 \sqrt{5 x+3} (1-2 x)^{5/2}}{960000}+\frac{869869 \sqrt{5 x+3} (1-2 x)^{3/2}}{3840000}+\frac{9568559 \sqrt{5 x+3} \sqrt{1-2 x}}{12800000}+\frac{105254149 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{12800000 \sqrt{10}}","-\frac{1}{20} (3 x+2) (5 x+3)^{3/2} (1-2 x)^{7/2}-\frac{193 (5 x+3)^{3/2} (1-2 x)^{7/2}}{2000}-\frac{7189 \sqrt{5 x+3} (1-2 x)^{7/2}}{32000}+\frac{79079 \sqrt{5 x+3} (1-2 x)^{5/2}}{960000}+\frac{869869 \sqrt{5 x+3} (1-2 x)^{3/2}}{3840000}+\frac{9568559 \sqrt{5 x+3} \sqrt{1-2 x}}{12800000}+\frac{105254149 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{12800000 \sqrt{10}}",1,"(9568559*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/12800000 + (869869*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/3840000 + (79079*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/960000 - (7189*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/32000 - (193*(1 - 2*x)^(7/2)*(3 + 5*x)^(3/2))/2000 - ((1 - 2*x)^(7/2)*(2 + 3*x)*(3 + 5*x)^(3/2))/20 + (105254149*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(12800000*Sqrt[10])","A",8,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2390,1,138,0,0.0387869,"\int (1-2 x)^{5/2} (2+3 x) \sqrt{3+5 x} \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)*Sqrt[3 + 5*x],x]","-\frac{3}{50} (5 x+3)^{3/2} (1-2 x)^{7/2}-\frac{119}{800} \sqrt{5 x+3} (1-2 x)^{7/2}+\frac{1309 \sqrt{5 x+3} (1-2 x)^{5/2}}{24000}+\frac{14399 \sqrt{5 x+3} (1-2 x)^{3/2}}{96000}+\frac{158389 \sqrt{5 x+3} \sqrt{1-2 x}}{320000}+\frac{1742279 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{320000 \sqrt{10}}","-\frac{3}{50} (5 x+3)^{3/2} (1-2 x)^{7/2}-\frac{119}{800} \sqrt{5 x+3} (1-2 x)^{7/2}+\frac{1309 \sqrt{5 x+3} (1-2 x)^{5/2}}{24000}+\frac{14399 \sqrt{5 x+3} (1-2 x)^{3/2}}{96000}+\frac{158389 \sqrt{5 x+3} \sqrt{1-2 x}}{320000}+\frac{1742279 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{320000 \sqrt{10}}",1,"(158389*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/320000 + (14399*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/96000 + (1309*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/24000 - (119*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/800 - (3*(1 - 2*x)^(7/2)*(3 + 5*x)^(3/2))/50 + (1742279*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(320000*Sqrt[10])","A",7,4,24,0.1667,1,"{80, 50, 54, 216}"
2391,1,116,0,0.0307865,"\int (1-2 x)^{5/2} \sqrt{3+5 x} \, dx","Int[(1 - 2*x)^(5/2)*Sqrt[3 + 5*x],x]","-\frac{1}{8} \sqrt{5 x+3} (1-2 x)^{7/2}+\frac{11}{240} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{121}{960} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{1331 \sqrt{5 x+3} \sqrt{1-2 x}}{3200}+\frac{14641 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{3200 \sqrt{10}}","-\frac{1}{8} \sqrt{5 x+3} (1-2 x)^{7/2}+\frac{11}{240} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{121}{960} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{1331 \sqrt{5 x+3} \sqrt{1-2 x}}{3200}+\frac{14641 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{3200 \sqrt{10}}",1,"(1331*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/3200 + (121*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/960 + (11*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/240 - ((1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/8 + (14641*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(3200*Sqrt[10])","A",6,3,19,0.1579,1,"{50, 54, 216}"
2392,1,128,0,0.0511282,"\int \frac{(1-2 x)^{5/2} \sqrt{3+5 x}}{2+3 x} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(2 + 3*x),x]","\frac{1}{9} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{59}{180} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{6401 \sqrt{5 x+3} \sqrt{1-2 x}}{5400}+\frac{250433 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{16200 \sqrt{10}}+\frac{98}{81} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{1}{9} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{59}{180} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{6401 \sqrt{5 x+3} \sqrt{1-2 x}}{5400}+\frac{250433 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{16200 \sqrt{10}}+\frac{98}{81} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(6401*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/5400 + (59*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/180 + ((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/9 + (250433*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(16200*Sqrt[10]) + (98*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/81","A",8,7,26,0.2692,1,"{101, 154, 157, 54, 216, 93, 204}"
2393,1,135,0,0.0523529,"\int \frac{(1-2 x)^{5/2} \sqrt{3+5 x}}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(2 + 3*x)^2,x]","-\frac{\sqrt{5 x+3} (1-2 x)^{5/2}}{3 (3 x+2)}-\frac{1}{3} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{43}{30} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{2119 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{90 \sqrt{10}}-\frac{35}{9} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{\sqrt{5 x+3} (1-2 x)^{5/2}}{3 (3 x+2)}-\frac{1}{3} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{43}{30} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{2119 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{90 \sqrt{10}}-\frac{35}{9} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-43*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/30 - ((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/3 - ((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(3*(2 + 3*x)) - (2119*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(90*Sqrt[10]) - (35*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/9","A",8,7,26,0.2692,1,"{97, 154, 157, 54, 216, 93, 204}"
2394,1,144,0,0.0538979,"\int \frac{(1-2 x)^{5/2} \sqrt{3+5 x}}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(2 + 3*x)^3,x]","-\frac{\sqrt{5 x+3} (1-2 x)^{5/2}}{6 (3 x+2)^2}+\frac{5 \sqrt{5 x+3} (1-2 x)^{3/2}}{4 (3 x+2)}+\frac{19}{18} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{118}{27} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{155}{108} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{\sqrt{5 x+3} (1-2 x)^{5/2}}{6 (3 x+2)^2}+\frac{5 \sqrt{5 x+3} (1-2 x)^{3/2}}{4 (3 x+2)}+\frac{19}{18} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{118}{27} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{155}{108} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(19*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/18 - ((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(6*(2 + 3*x)^2) + (5*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(4*(2 + 3*x)) + (118*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/27 - (155*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/108","A",8,8,26,0.3077,1,"{97, 149, 154, 157, 54, 216, 93, 204}"
2395,1,149,0,0.0505666,"\int \frac{(1-2 x)^{5/2} \sqrt{3+5 x}}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(2 + 3*x)^4,x]","-\frac{\sqrt{5 x+3} (1-2 x)^{5/2}}{9 (3 x+2)^3}+\frac{5 \sqrt{5 x+3} (1-2 x)^{3/2}}{12 (3 x+2)^2}+\frac{925 \sqrt{5 x+3} \sqrt{1-2 x}}{216 (3 x+2)}-\frac{8}{81} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{32765 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{648 \sqrt{7}}","-\frac{\sqrt{5 x+3} (1-2 x)^{5/2}}{9 (3 x+2)^3}+\frac{5 \sqrt{5 x+3} (1-2 x)^{3/2}}{12 (3 x+2)^2}+\frac{925 \sqrt{5 x+3} \sqrt{1-2 x}}{216 (3 x+2)}-\frac{8}{81} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{32765 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{648 \sqrt{7}}",1,"-((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(9*(2 + 3*x)^3) + (5*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(12*(2 + 3*x)^2) + (925*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(216*(2 + 3*x)) - (8*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/81 - (32765*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(648*Sqrt[7])","A",8,7,26,0.2692,1,"{97, 149, 157, 54, 216, 93, 204}"
2396,1,151,0,0.0406049,"\int \frac{(1-2 x)^{5/2} \sqrt{3+5 x}}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(2 + 3*x)^5,x]","\frac{(5 x+3)^{3/2} (1-2 x)^{5/2}}{4 (3 x+2)^4}+\frac{55 (5 x+3)^{3/2} (1-2 x)^{3/2}}{24 (3 x+2)^3}+\frac{605 (5 x+3)^{3/2} \sqrt{1-2 x}}{32 (3 x+2)^2}-\frac{6655 \sqrt{5 x+3} \sqrt{1-2 x}}{448 (3 x+2)}-\frac{73205 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{448 \sqrt{7}}","\frac{(5 x+3)^{3/2} (1-2 x)^{5/2}}{4 (3 x+2)^4}+\frac{55 (5 x+3)^{3/2} (1-2 x)^{3/2}}{24 (3 x+2)^3}+\frac{605 (5 x+3)^{3/2} \sqrt{1-2 x}}{32 (3 x+2)^2}-\frac{6655 \sqrt{5 x+3} \sqrt{1-2 x}}{448 (3 x+2)}-\frac{73205 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{448 \sqrt{7}}",1,"(-6655*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(448*(2 + 3*x)) + ((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(4*(2 + 3*x)^4) + (55*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(24*(2 + 3*x)^3) + (605*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(32*(2 + 3*x)^2) - (73205*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(448*Sqrt[7])","A",6,3,26,0.1154,1,"{94, 93, 204}"
2397,1,180,0,0.0525002,"\int \frac{(1-2 x)^{5/2} \sqrt{3+5 x}}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(2 + 3*x)^6,x]","\frac{3 (5 x+3)^{3/2} (1-2 x)^{7/2}}{35 (3 x+2)^5}+\frac{251 (5 x+3)^{3/2} (1-2 x)^{5/2}}{280 (3 x+2)^4}+\frac{2761 (5 x+3)^{3/2} (1-2 x)^{3/2}}{336 (3 x+2)^3}+\frac{30371 (5 x+3)^{3/2} \sqrt{1-2 x}}{448 (3 x+2)^2}-\frac{334081 \sqrt{5 x+3} \sqrt{1-2 x}}{6272 (3 x+2)}-\frac{3674891 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{6272 \sqrt{7}}","\frac{3 (5 x+3)^{3/2} (1-2 x)^{7/2}}{35 (3 x+2)^5}+\frac{251 (5 x+3)^{3/2} (1-2 x)^{5/2}}{280 (3 x+2)^4}+\frac{2761 (5 x+3)^{3/2} (1-2 x)^{3/2}}{336 (3 x+2)^3}+\frac{30371 (5 x+3)^{3/2} \sqrt{1-2 x}}{448 (3 x+2)^2}-\frac{334081 \sqrt{5 x+3} \sqrt{1-2 x}}{6272 (3 x+2)}-\frac{3674891 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{6272 \sqrt{7}}",1,"(-334081*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(6272*(2 + 3*x)) + (3*(1 - 2*x)^(7/2)*(3 + 5*x)^(3/2))/(35*(2 + 3*x)^5) + (251*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(280*(2 + 3*x)^4) + (2761*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(336*(2 + 3*x)^3) + (30371*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(448*(2 + 3*x)^2) - (3674891*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(6272*Sqrt[7])","A",7,4,26,0.1538,1,"{96, 94, 93, 204}"
2398,1,209,0,0.0793283,"\int \frac{(1-2 x)^{5/2} \sqrt{3+5 x}}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(2 + 3*x)^7,x]","-\frac{\sqrt{5 x+3} (1-2 x)^{5/2}}{18 (3 x+2)^6}+\frac{\sqrt{5 x+3} (1-2 x)^{3/2}}{12 (3 x+2)^5}+\frac{2770202075 \sqrt{5 x+3} \sqrt{1-2 x}}{14224896 (3 x+2)}+\frac{26486645 \sqrt{5 x+3} \sqrt{1-2 x}}{1016064 (3 x+2)^2}+\frac{151621 \sqrt{5 x+3} \sqrt{1-2 x}}{36288 (3 x+2)^3}+\frac{647 \sqrt{5 x+3} \sqrt{1-2 x}}{864 (3 x+2)^4}-\frac{391280725 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{175616 \sqrt{7}}","-\frac{\sqrt{5 x+3} (1-2 x)^{5/2}}{18 (3 x+2)^6}+\frac{\sqrt{5 x+3} (1-2 x)^{3/2}}{12 (3 x+2)^5}+\frac{2770202075 \sqrt{5 x+3} \sqrt{1-2 x}}{14224896 (3 x+2)}+\frac{26486645 \sqrt{5 x+3} \sqrt{1-2 x}}{1016064 (3 x+2)^2}+\frac{151621 \sqrt{5 x+3} \sqrt{1-2 x}}{36288 (3 x+2)^3}+\frac{647 \sqrt{5 x+3} \sqrt{1-2 x}}{864 (3 x+2)^4}-\frac{391280725 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{175616 \sqrt{7}}",1,"-((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(18*(2 + 3*x)^6) + ((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(12*(2 + 3*x)^5) + (647*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(864*(2 + 3*x)^4) + (151621*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(36288*(2 + 3*x)^3) + (26486645*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1016064*(2 + 3*x)^2) + (2770202075*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(14224896*(2 + 3*x)) - (391280725*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(175616*Sqrt[7])","A",9,6,26,0.2308,1,"{97, 149, 151, 12, 93, 204}"
2399,1,194,0,0.064418,"\int (1-2 x)^{5/2} (2+3 x)^3 (3+5 x)^{3/2} \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^3*(3 + 5*x)^(3/2),x]","-\frac{3}{80} (3 x+2)^2 (5 x+3)^{5/2} (1-2 x)^{7/2}-\frac{735439 (5 x+3)^{3/2} (1-2 x)^{7/2}}{1280000}-\frac{9 (5 x+3)^{5/2} (13480 x+18399) (1-2 x)^{7/2}}{448000}-\frac{24269487 \sqrt{5 x+3} (1-2 x)^{7/2}}{20480000}+\frac{88988119 \sqrt{5 x+3} (1-2 x)^{5/2}}{204800000}+\frac{978869309 \sqrt{5 x+3} (1-2 x)^{3/2}}{819200000}+\frac{32302687197 \sqrt{5 x+3} \sqrt{1-2 x}}{8192000000}+\frac{355329559167 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{8192000000 \sqrt{10}}","-\frac{3}{80} (3 x+2)^2 (5 x+3)^{5/2} (1-2 x)^{7/2}-\frac{735439 (5 x+3)^{3/2} (1-2 x)^{7/2}}{1280000}-\frac{9 (5 x+3)^{5/2} (13480 x+18399) (1-2 x)^{7/2}}{448000}-\frac{24269487 \sqrt{5 x+3} (1-2 x)^{7/2}}{20480000}+\frac{88988119 \sqrt{5 x+3} (1-2 x)^{5/2}}{204800000}+\frac{978869309 \sqrt{5 x+3} (1-2 x)^{3/2}}{819200000}+\frac{32302687197 \sqrt{5 x+3} \sqrt{1-2 x}}{8192000000}+\frac{355329559167 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{8192000000 \sqrt{10}}",1,"(32302687197*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/8192000000 + (978869309*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/819200000 + (88988119*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/204800000 - (24269487*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/20480000 - (735439*(1 - 2*x)^(7/2)*(3 + 5*x)^(3/2))/1280000 - (3*(1 - 2*x)^(7/2)*(2 + 3*x)^2*(3 + 5*x)^(5/2))/80 - (9*(1 - 2*x)^(7/2)*(3 + 5*x)^(5/2)*(18399 + 13480*x))/448000 + (355329559167*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(8192000000*Sqrt[10])","A",9,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2400,1,187,0,0.0621344,"\int (1-2 x)^{5/2} (2+3 x)^2 (3+5 x)^{3/2} \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^2*(3 + 5*x)^(3/2),x]","-\frac{3}{70} (3 x+2) (5 x+3)^{5/2} (1-2 x)^{7/2}-\frac{263 (5 x+3)^{5/2} (1-2 x)^{7/2}}{2800}-\frac{2287 (5 x+3)^{3/2} (1-2 x)^{7/2}}{8000}-\frac{75471 \sqrt{5 x+3} (1-2 x)^{7/2}}{128000}+\frac{276727 \sqrt{5 x+3} (1-2 x)^{5/2}}{1280000}+\frac{3043997 \sqrt{5 x+3} (1-2 x)^{3/2}}{5120000}+\frac{100451901 \sqrt{5 x+3} \sqrt{1-2 x}}{51200000}+\frac{1104970911 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{51200000 \sqrt{10}}","-\frac{3}{70} (3 x+2) (5 x+3)^{5/2} (1-2 x)^{7/2}-\frac{263 (5 x+3)^{5/2} (1-2 x)^{7/2}}{2800}-\frac{2287 (5 x+3)^{3/2} (1-2 x)^{7/2}}{8000}-\frac{75471 \sqrt{5 x+3} (1-2 x)^{7/2}}{128000}+\frac{276727 \sqrt{5 x+3} (1-2 x)^{5/2}}{1280000}+\frac{3043997 \sqrt{5 x+3} (1-2 x)^{3/2}}{5120000}+\frac{100451901 \sqrt{5 x+3} \sqrt{1-2 x}}{51200000}+\frac{1104970911 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{51200000 \sqrt{10}}",1,"(100451901*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/51200000 + (3043997*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/5120000 + (276727*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/1280000 - (75471*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/128000 - (2287*(1 - 2*x)^(7/2)*(3 + 5*x)^(3/2))/8000 - (263*(1 - 2*x)^(7/2)*(3 + 5*x)^(5/2))/2800 - (3*(1 - 2*x)^(7/2)*(2 + 3*x)*(3 + 5*x)^(5/2))/70 + (1104970911*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(51200000*Sqrt[10])","A",9,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2401,1,160,0,0.0481522,"\int (1-2 x)^{5/2} (2+3 x) (3+5 x)^{3/2} \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)*(3 + 5*x)^(3/2),x]","-\frac{1}{20} (5 x+3)^{5/2} (1-2 x)^{7/2}-\frac{63}{400} (5 x+3)^{3/2} (1-2 x)^{7/2}-\frac{2079 \sqrt{5 x+3} (1-2 x)^{7/2}}{6400}+\frac{7623 \sqrt{5 x+3} (1-2 x)^{5/2}}{64000}+\frac{83853 \sqrt{5 x+3} (1-2 x)^{3/2}}{256000}+\frac{2767149 \sqrt{5 x+3} \sqrt{1-2 x}}{2560000}+\frac{30438639 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2560000 \sqrt{10}}","-\frac{1}{20} (5 x+3)^{5/2} (1-2 x)^{7/2}-\frac{63}{400} (5 x+3)^{3/2} (1-2 x)^{7/2}-\frac{2079 \sqrt{5 x+3} (1-2 x)^{7/2}}{6400}+\frac{7623 \sqrt{5 x+3} (1-2 x)^{5/2}}{64000}+\frac{83853 \sqrt{5 x+3} (1-2 x)^{3/2}}{256000}+\frac{2767149 \sqrt{5 x+3} \sqrt{1-2 x}}{2560000}+\frac{30438639 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2560000 \sqrt{10}}",1,"(2767149*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/2560000 + (83853*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/256000 + (7623*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/64000 - (2079*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/6400 - (63*(1 - 2*x)^(7/2)*(3 + 5*x)^(3/2))/400 - ((1 - 2*x)^(7/2)*(3 + 5*x)^(5/2))/20 + (30438639*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(2560000*Sqrt[10])","A",8,4,24,0.1667,1,"{80, 50, 54, 216}"
2402,1,138,0,0.0389041,"\int (1-2 x)^{5/2} (3+5 x)^{3/2} \, dx","Int[(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2),x]","-\frac{1}{10} (5 x+3)^{3/2} (1-2 x)^{7/2}-\frac{33}{160} \sqrt{5 x+3} (1-2 x)^{7/2}+\frac{121 \sqrt{5 x+3} (1-2 x)^{5/2}}{1600}+\frac{1331 \sqrt{5 x+3} (1-2 x)^{3/2}}{6400}+\frac{43923 \sqrt{5 x+3} \sqrt{1-2 x}}{64000}+\frac{483153 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{64000 \sqrt{10}}","-\frac{1}{10} (5 x+3)^{3/2} (1-2 x)^{7/2}-\frac{33}{160} \sqrt{5 x+3} (1-2 x)^{7/2}+\frac{121 \sqrt{5 x+3} (1-2 x)^{5/2}}{1600}+\frac{1331 \sqrt{5 x+3} (1-2 x)^{3/2}}{6400}+\frac{43923 \sqrt{5 x+3} \sqrt{1-2 x}}{64000}+\frac{483153 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{64000 \sqrt{10}}",1,"(43923*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/64000 + (1331*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/6400 + (121*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/1600 - (33*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/160 - ((1 - 2*x)^(7/2)*(3 + 5*x)^(3/2))/10 + (483153*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(64000*Sqrt[10])","A",7,3,19,0.1579,1,"{50, 54, 216}"
2403,1,150,0,0.063693,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{2+3 x} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x),x]","\frac{1}{12} (5 x+3)^{3/2} (1-2 x)^{5/2}+\frac{181 (5 x+3)^{3/2} (1-2 x)^{3/2}}{1080}+\frac{7093 (5 x+3)^{3/2} \sqrt{1-2 x}}{21600}-\frac{390869 \sqrt{5 x+3} \sqrt{1-2 x}}{259200}+\frac{1922677 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{777600 \sqrt{10}}-\frac{98}{243} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{1}{12} (5 x+3)^{3/2} (1-2 x)^{5/2}+\frac{181 (5 x+3)^{3/2} (1-2 x)^{3/2}}{1080}+\frac{7093 (5 x+3)^{3/2} \sqrt{1-2 x}}{21600}-\frac{390869 \sqrt{5 x+3} \sqrt{1-2 x}}{259200}+\frac{1922677 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{777600 \sqrt{10}}-\frac{98}{243} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-390869*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/259200 + (7093*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/21600 + (181*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/1080 + ((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/12 + (1922677*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(777600*Sqrt[10]) - (98*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/243","A",9,7,26,0.2692,1,"{101, 154, 157, 54, 216, 93, 204}"
2404,1,157,0,0.0642384,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^2,x]","-\frac{(5 x+3)^{3/2} (1-2 x)^{5/2}}{3 (3 x+2)}-\frac{8}{27} (5 x+3)^{3/2} (1-2 x)^{3/2}-\frac{247}{270} (5 x+3)^{3/2} \sqrt{1-2 x}+\frac{24251 \sqrt{5 x+3} \sqrt{1-2 x}}{3240}+\frac{326717 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{9720 \sqrt{10}}+\frac{805}{243} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{(5 x+3)^{3/2} (1-2 x)^{5/2}}{3 (3 x+2)}-\frac{8}{27} (5 x+3)^{3/2} (1-2 x)^{3/2}-\frac{247}{270} (5 x+3)^{3/2} \sqrt{1-2 x}+\frac{24251 \sqrt{5 x+3} \sqrt{1-2 x}}{3240}+\frac{326717 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{9720 \sqrt{10}}+\frac{805}{243} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(24251*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/3240 - (247*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/270 - (8*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/27 - ((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(3*(2 + 3*x)) + (326717*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(9720*Sqrt[10]) + (805*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/243","A",9,7,26,0.2692,1,"{97, 154, 157, 54, 216, 93, 204}"
2405,1,164,0,0.0673162,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^3,x]","-\frac{(5 x+3)^{3/2} (1-2 x)^{5/2}}{6 (3 x+2)^2}+\frac{115 (5 x+3)^{3/2} (1-2 x)^{3/2}}{36 (3 x+2)}+\frac{41}{18} (5 x+3)^{3/2} \sqrt{1-2 x}-\frac{1649}{108} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{6829 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{162 \sqrt{10}}-\frac{1945}{324} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{(5 x+3)^{3/2} (1-2 x)^{5/2}}{6 (3 x+2)^2}+\frac{115 (5 x+3)^{3/2} (1-2 x)^{3/2}}{36 (3 x+2)}+\frac{41}{18} (5 x+3)^{3/2} \sqrt{1-2 x}-\frac{1649}{108} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{6829 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{162 \sqrt{10}}-\frac{1945}{324} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-1649*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/108 + (41*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/18 - ((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(6*(2 + 3*x)^2) + (115*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(36*(2 + 3*x)) - (6829*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(162*Sqrt[10]) - (1945*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/324","A",9,8,26,0.3077,1,"{97, 149, 154, 157, 54, 216, 93, 204}"
2406,1,171,0,0.0653066,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^4,x]","-\frac{(5 x+3)^{3/2} (1-2 x)^{5/2}}{9 (3 x+2)^3}+\frac{115 (5 x+3)^{3/2} (1-2 x)^{3/2}}{108 (3 x+2)^2}+\frac{365 (5 x+3)^{3/2} \sqrt{1-2 x}}{216 (3 x+2)}-\frac{845}{648} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{362}{243} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{215 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1944 \sqrt{7}}","-\frac{(5 x+3)^{3/2} (1-2 x)^{5/2}}{9 (3 x+2)^3}+\frac{115 (5 x+3)^{3/2} (1-2 x)^{3/2}}{108 (3 x+2)^2}+\frac{365 (5 x+3)^{3/2} \sqrt{1-2 x}}{216 (3 x+2)}-\frac{845}{648} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{362}{243} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{215 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1944 \sqrt{7}}",1,"(-845*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/648 - ((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(9*(2 + 3*x)^3) + (115*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(108*(2 + 3*x)^2) + (365*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(216*(2 + 3*x)) + (362*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/243 + (215*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1944*Sqrt[7])","A",9,8,26,0.3077,1,"{97, 149, 154, 157, 54, 216, 93, 204}"
2407,1,178,0,0.0684561,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^5,x]","-\frac{(5 x+3)^{3/2} (1-2 x)^{5/2}}{12 (3 x+2)^4}+\frac{115 (5 x+3)^{3/2} (1-2 x)^{3/2}}{216 (3 x+2)^3}+\frac{2675 (5 x+3)^{3/2} \sqrt{1-2 x}}{864 (3 x+2)^2}-\frac{97235 \sqrt{5 x+3} \sqrt{1-2 x}}{36288 (3 x+2)}-\frac{40}{243} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{3244595 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{108864 \sqrt{7}}","-\frac{(5 x+3)^{3/2} (1-2 x)^{5/2}}{12 (3 x+2)^4}+\frac{115 (5 x+3)^{3/2} (1-2 x)^{3/2}}{216 (3 x+2)^3}+\frac{2675 (5 x+3)^{3/2} \sqrt{1-2 x}}{864 (3 x+2)^2}-\frac{97235 \sqrt{5 x+3} \sqrt{1-2 x}}{36288 (3 x+2)}-\frac{40}{243} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{3244595 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{108864 \sqrt{7}}",1,"(-97235*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(36288*(2 + 3*x)) - ((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(12*(2 + 3*x)^4) + (115*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(216*(2 + 3*x)^3) + (2675*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(864*(2 + 3*x)^2) - (40*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/243 - (3244595*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(108864*Sqrt[7])","A",9,7,26,0.2692,1,"{97, 149, 157, 54, 216, 93, 204}"
2408,1,180,0,0.0545405,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^6,x]","\frac{121 \sqrt{1-2 x} (5 x+3)^{5/2}}{16 (3 x+2)^3}+\frac{11 (1-2 x)^{3/2} (5 x+3)^{5/2}}{8 (3 x+2)^4}+\frac{(1-2 x)^{5/2} (5 x+3)^{5/2}}{5 (3 x+2)^5}-\frac{1331 \sqrt{1-2 x} (5 x+3)^{3/2}}{448 (3 x+2)^2}-\frac{43923 \sqrt{1-2 x} \sqrt{5 x+3}}{6272 (3 x+2)}-\frac{483153 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{6272 \sqrt{7}}","\frac{121 \sqrt{1-2 x} (5 x+3)^{5/2}}{16 (3 x+2)^3}+\frac{11 (1-2 x)^{3/2} (5 x+3)^{5/2}}{8 (3 x+2)^4}+\frac{(1-2 x)^{5/2} (5 x+3)^{5/2}}{5 (3 x+2)^5}-\frac{1331 \sqrt{1-2 x} (5 x+3)^{3/2}}{448 (3 x+2)^2}-\frac{43923 \sqrt{1-2 x} \sqrt{5 x+3}}{6272 (3 x+2)}-\frac{483153 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{6272 \sqrt{7}}",1,"(-43923*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(6272*(2 + 3*x)) - (1331*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(448*(2 + 3*x)^2) + ((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(5*(2 + 3*x)^5) + (11*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(8*(2 + 3*x)^4) + (121*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(16*(2 + 3*x)^3) - (483153*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(6272*Sqrt[7])","A",7,3,26,0.1154,1,"{94, 93, 204}"
2409,1,209,0,0.0695618,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^7,x]","\frac{(5 x+3)^{5/2} (1-2 x)^{7/2}}{14 (3 x+2)^6}+\frac{17 (5 x+3)^{5/2} (1-2 x)^{5/2}}{28 (3 x+2)^5}+\frac{935 (5 x+3)^{5/2} (1-2 x)^{3/2}}{224 (3 x+2)^4}+\frac{10285 (5 x+3)^{5/2} \sqrt{1-2 x}}{448 (3 x+2)^3}-\frac{113135 (5 x+3)^{3/2} \sqrt{1-2 x}}{12544 (3 x+2)^2}-\frac{3733455 \sqrt{5 x+3} \sqrt{1-2 x}}{175616 (3 x+2)}-\frac{41068005 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{175616 \sqrt{7}}","\frac{(5 x+3)^{5/2} (1-2 x)^{7/2}}{14 (3 x+2)^6}+\frac{17 (5 x+3)^{5/2} (1-2 x)^{5/2}}{28 (3 x+2)^5}+\frac{935 (5 x+3)^{5/2} (1-2 x)^{3/2}}{224 (3 x+2)^4}+\frac{10285 (5 x+3)^{5/2} \sqrt{1-2 x}}{448 (3 x+2)^3}-\frac{113135 (5 x+3)^{3/2} \sqrt{1-2 x}}{12544 (3 x+2)^2}-\frac{3733455 \sqrt{5 x+3} \sqrt{1-2 x}}{175616 (3 x+2)}-\frac{41068005 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{175616 \sqrt{7}}",1,"(-3733455*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(175616*(2 + 3*x)) - (113135*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(12544*(2 + 3*x)^2) + ((1 - 2*x)^(7/2)*(3 + 5*x)^(5/2))/(14*(2 + 3*x)^6) + (17*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(28*(2 + 3*x)^5) + (935*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(224*(2 + 3*x)^4) + (10285*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(448*(2 + 3*x)^3) - (41068005*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(175616*Sqrt[7])","A",8,4,26,0.1538,1,"{96, 94, 93, 204}"
2410,1,238,0,0.0957046,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^8} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^8,x]","-\frac{(5 x+3)^{3/2} (1-2 x)^{5/2}}{21 (3 x+2)^7}+\frac{115 (5 x+3)^{3/2} (1-2 x)^{3/2}}{756 (3 x+2)^6}+\frac{1921 (5 x+3)^{3/2} \sqrt{1-2 x}}{1512 (3 x+2)^5}+\frac{40175505215 \sqrt{5 x+3} \sqrt{1-2 x}}{597445632 (3 x+2)}+\frac{384136145 \sqrt{5 x+3} \sqrt{1-2 x}}{42674688 (3 x+2)^2}+\frac{2199649 \sqrt{5 x+3} \sqrt{1-2 x}}{1524096 (3 x+2)^3}-\frac{443563 \sqrt{5 x+3} \sqrt{1-2 x}}{254016 (3 x+2)^4}-\frac{1891543995 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2458624 \sqrt{7}}","-\frac{(5 x+3)^{3/2} (1-2 x)^{5/2}}{21 (3 x+2)^7}+\frac{115 (5 x+3)^{3/2} (1-2 x)^{3/2}}{756 (3 x+2)^6}+\frac{1921 (5 x+3)^{3/2} \sqrt{1-2 x}}{1512 (3 x+2)^5}+\frac{40175505215 \sqrt{5 x+3} \sqrt{1-2 x}}{597445632 (3 x+2)}+\frac{384136145 \sqrt{5 x+3} \sqrt{1-2 x}}{42674688 (3 x+2)^2}+\frac{2199649 \sqrt{5 x+3} \sqrt{1-2 x}}{1524096 (3 x+2)^3}-\frac{443563 \sqrt{5 x+3} \sqrt{1-2 x}}{254016 (3 x+2)^4}-\frac{1891543995 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2458624 \sqrt{7}}",1,"(-443563*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(254016*(2 + 3*x)^4) + (2199649*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1524096*(2 + 3*x)^3) + (384136145*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(42674688*(2 + 3*x)^2) + (40175505215*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(597445632*(2 + 3*x)) - ((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(21*(2 + 3*x)^7) + (115*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(756*(2 + 3*x)^6) + (1921*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(1512*(2 + 3*x)^5) - (1891543995*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(2458624*Sqrt[7])","A",10,6,26,0.2308,1,"{97, 149, 151, 12, 93, 204}"
2411,1,216,0,0.0758393,"\int (1-2 x)^{5/2} (2+3 x)^3 (3+5 x)^{5/2} \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^3*(3 + 5*x)^(5/2),x]","-\frac{1}{30} (3 x+2)^2 (5 x+3)^{7/2} (1-2 x)^{7/2}-\frac{526103 (5 x+3)^{5/2} (1-2 x)^{7/2}}{768000}-\frac{5787133 (5 x+3)^{3/2} (1-2 x)^{7/2}}{3072000}-\frac{(5 x+3)^{7/2} (170940 x+245011) (1-2 x)^{7/2}}{672000}-\frac{63658463 \sqrt{5 x+3} (1-2 x)^{7/2}}{16384000}+\frac{700243093 \sqrt{5 x+3} (1-2 x)^{5/2}}{491520000}+\frac{7702674023 \sqrt{5 x+3} (1-2 x)^{3/2}}{1966080000}+\frac{84729414253 \sqrt{5 x+3} \sqrt{1-2 x}}{6553600000}+\frac{932023556783 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{6553600000 \sqrt{10}}","-\frac{1}{30} (3 x+2)^2 (5 x+3)^{7/2} (1-2 x)^{7/2}-\frac{526103 (5 x+3)^{5/2} (1-2 x)^{7/2}}{768000}-\frac{5787133 (5 x+3)^{3/2} (1-2 x)^{7/2}}{3072000}-\frac{(5 x+3)^{7/2} (170940 x+245011) (1-2 x)^{7/2}}{672000}-\frac{63658463 \sqrt{5 x+3} (1-2 x)^{7/2}}{16384000}+\frac{700243093 \sqrt{5 x+3} (1-2 x)^{5/2}}{491520000}+\frac{7702674023 \sqrt{5 x+3} (1-2 x)^{3/2}}{1966080000}+\frac{84729414253 \sqrt{5 x+3} \sqrt{1-2 x}}{6553600000}+\frac{932023556783 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{6553600000 \sqrt{10}}",1,"(84729414253*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/6553600000 + (7702674023*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/1966080000 + (700243093*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/491520000 - (63658463*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/16384000 - (5787133*(1 - 2*x)^(7/2)*(3 + 5*x)^(3/2))/3072000 - (526103*(1 - 2*x)^(7/2)*(3 + 5*x)^(5/2))/768000 - ((1 - 2*x)^(7/2)*(2 + 3*x)^2*(3 + 5*x)^(7/2))/30 - ((1 - 2*x)^(7/2)*(3 + 5*x)^(7/2)*(245011 + 170940*x))/672000 + (932023556783*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(6553600000*Sqrt[10])","A",10,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2412,1,209,0,0.0755245,"\int (1-2 x)^{5/2} (2+3 x)^2 (3+5 x)^{5/2} \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^2*(3 + 5*x)^(5/2),x]","-\frac{3}{80} (3 x+2) (5 x+3)^{7/2} (1-2 x)^{7/2}-\frac{999 (5 x+3)^{7/2} (1-2 x)^{7/2}}{11200}-\frac{12041 (5 x+3)^{5/2} (1-2 x)^{7/2}}{38400}-\frac{132451 (5 x+3)^{3/2} (1-2 x)^{7/2}}{153600}-\frac{1456961 \sqrt{5 x+3} (1-2 x)^{7/2}}{819200}+\frac{16026571 \sqrt{5 x+3} (1-2 x)^{5/2}}{24576000}+\frac{176292281 \sqrt{5 x+3} (1-2 x)^{3/2}}{98304000}+\frac{1939215091 \sqrt{5 x+3} \sqrt{1-2 x}}{327680000}+\frac{21331366001 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{327680000 \sqrt{10}}","-\frac{3}{80} (3 x+2) (5 x+3)^{7/2} (1-2 x)^{7/2}-\frac{999 (5 x+3)^{7/2} (1-2 x)^{7/2}}{11200}-\frac{12041 (5 x+3)^{5/2} (1-2 x)^{7/2}}{38400}-\frac{132451 (5 x+3)^{3/2} (1-2 x)^{7/2}}{153600}-\frac{1456961 \sqrt{5 x+3} (1-2 x)^{7/2}}{819200}+\frac{16026571 \sqrt{5 x+3} (1-2 x)^{5/2}}{24576000}+\frac{176292281 \sqrt{5 x+3} (1-2 x)^{3/2}}{98304000}+\frac{1939215091 \sqrt{5 x+3} \sqrt{1-2 x}}{327680000}+\frac{21331366001 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{327680000 \sqrt{10}}",1,"(1939215091*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/327680000 + (176292281*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/98304000 + (16026571*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/24576000 - (1456961*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/819200 - (132451*(1 - 2*x)^(7/2)*(3 + 5*x)^(3/2))/153600 - (12041*(1 - 2*x)^(7/2)*(3 + 5*x)^(5/2))/38400 - (999*(1 - 2*x)^(7/2)*(3 + 5*x)^(7/2))/11200 - (3*(1 - 2*x)^(7/2)*(2 + 3*x)*(3 + 5*x)^(7/2))/80 + (21331366001*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(327680000*Sqrt[10])","A",10,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2413,1,182,0,0.0593908,"\int (1-2 x)^{5/2} (2+3 x) (3+5 x)^{5/2} \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)*(3 + 5*x)^(5/2),x]","-\frac{3}{70} (5 x+3)^{7/2} (1-2 x)^{7/2}-\frac{37}{240} (5 x+3)^{5/2} (1-2 x)^{7/2}-\frac{407}{960} (5 x+3)^{3/2} (1-2 x)^{7/2}-\frac{4477 \sqrt{5 x+3} (1-2 x)^{7/2}}{5120}+\frac{49247 \sqrt{5 x+3} (1-2 x)^{5/2}}{153600}+\frac{541717 \sqrt{5 x+3} (1-2 x)^{3/2}}{614400}+\frac{5958887 \sqrt{5 x+3} \sqrt{1-2 x}}{2048000}+\frac{65547757 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2048000 \sqrt{10}}","-\frac{3}{70} (5 x+3)^{7/2} (1-2 x)^{7/2}-\frac{37}{240} (5 x+3)^{5/2} (1-2 x)^{7/2}-\frac{407}{960} (5 x+3)^{3/2} (1-2 x)^{7/2}-\frac{4477 \sqrt{5 x+3} (1-2 x)^{7/2}}{5120}+\frac{49247 \sqrt{5 x+3} (1-2 x)^{5/2}}{153600}+\frac{541717 \sqrt{5 x+3} (1-2 x)^{3/2}}{614400}+\frac{5958887 \sqrt{5 x+3} \sqrt{1-2 x}}{2048000}+\frac{65547757 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2048000 \sqrt{10}}",1,"(5958887*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/2048000 + (541717*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/614400 + (49247*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/153600 - (4477*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/5120 - (407*(1 - 2*x)^(7/2)*(3 + 5*x)^(3/2))/960 - (37*(1 - 2*x)^(7/2)*(3 + 5*x)^(5/2))/240 - (3*(1 - 2*x)^(7/2)*(3 + 5*x)^(7/2))/70 + (65547757*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(2048000*Sqrt[10])","A",9,4,24,0.1667,1,"{80, 50, 54, 216}"
2414,1,160,0,0.0489823,"\int (1-2 x)^{5/2} (3+5 x)^{5/2} \, dx","Int[(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2),x]","-\frac{1}{12} (5 x+3)^{5/2} (1-2 x)^{7/2}-\frac{11}{48} (5 x+3)^{3/2} (1-2 x)^{7/2}-\frac{121}{256} \sqrt{5 x+3} (1-2 x)^{7/2}+\frac{1331 \sqrt{5 x+3} (1-2 x)^{5/2}}{7680}+\frac{14641 \sqrt{5 x+3} (1-2 x)^{3/2}}{30720}+\frac{161051 \sqrt{5 x+3} \sqrt{1-2 x}}{102400}+\frac{1771561 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{102400 \sqrt{10}}","-\frac{1}{12} (5 x+3)^{5/2} (1-2 x)^{7/2}-\frac{11}{48} (5 x+3)^{3/2} (1-2 x)^{7/2}-\frac{121}{256} \sqrt{5 x+3} (1-2 x)^{7/2}+\frac{1331 \sqrt{5 x+3} (1-2 x)^{5/2}}{7680}+\frac{14641 \sqrt{5 x+3} (1-2 x)^{3/2}}{30720}+\frac{161051 \sqrt{5 x+3} \sqrt{1-2 x}}{102400}+\frac{1771561 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{102400 \sqrt{10}}",1,"(161051*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/102400 + (14641*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/30720 + (1331*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/7680 - (121*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/256 - (11*(1 - 2*x)^(7/2)*(3 + 5*x)^(3/2))/48 - ((1 - 2*x)^(7/2)*(3 + 5*x)^(5/2))/12 + (1771561*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(102400*Sqrt[10])","A",8,3,19,0.1579,1,"{50, 54, 216}"
2415,1,172,0,0.0802862,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{2+3 x} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x),x]","\frac{1}{15} (1-2 x)^{5/2} (5 x+3)^{5/2}+\frac{37}{360} (1-2 x)^{3/2} (5 x+3)^{5/2}+\frac{4783 \sqrt{1-2 x} (5 x+3)^{5/2}}{32400}-\frac{14557 \sqrt{1-2 x} (5 x+3)^{3/2}}{28800}-\frac{1994287 \sqrt{1-2 x} \sqrt{5 x+3}}{3110400}+\frac{109715471 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{9331200 \sqrt{10}}+\frac{98}{729} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{1}{15} (1-2 x)^{5/2} (5 x+3)^{5/2}+\frac{37}{360} (1-2 x)^{3/2} (5 x+3)^{5/2}+\frac{4783 \sqrt{1-2 x} (5 x+3)^{5/2}}{32400}-\frac{14557 \sqrt{1-2 x} (5 x+3)^{3/2}}{28800}-\frac{1994287 \sqrt{1-2 x} \sqrt{5 x+3}}{3110400}+\frac{109715471 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{9331200 \sqrt{10}}+\frac{98}{729} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-1994287*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/3110400 - (14557*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/28800 + (4783*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/32400 + (37*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/360 + ((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/15 + (109715471*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(9331200*Sqrt[10]) + (98*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/729","A",10,7,26,0.2692,1,"{101, 154, 157, 54, 216, 93, 204}"
2416,1,179,0,0.07942,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^2} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^2,x]","-\frac{5}{18} (1-2 x)^{3/2} (5 x+3)^{5/2}-\frac{247}{324} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{(1-2 x)^{5/2} (5 x+3)^{5/2}}{3 (3 x+2)}+\frac{1453}{288} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{155777 \sqrt{1-2 x} \sqrt{5 x+3}}{31104}-\frac{660959 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{93312 \sqrt{10}}-\frac{1295}{729} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{5}{18} (1-2 x)^{3/2} (5 x+3)^{5/2}-\frac{247}{324} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{(1-2 x)^{5/2} (5 x+3)^{5/2}}{3 (3 x+2)}+\frac{1453}{288} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{155777 \sqrt{1-2 x} \sqrt{5 x+3}}{31104}-\frac{660959 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{93312 \sqrt{10}}-\frac{1295}{729} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-155777*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/31104 + (1453*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/288 - (247*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/324 - (5*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/18 - ((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(3*(2 + 3*x)) - (660959*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(93312*Sqrt[10]) - (1295*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/729","A",10,7,26,0.2692,1,"{97, 154, 157, 54, 216, 93, 204}"
2417,1,188,0,0.0789234,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^3} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^3,x]","\frac{575}{162} \sqrt{1-2 x} (5 x+3)^{5/2}+\frac{185 (1-2 x)^{3/2} (5 x+3)^{5/2}}{36 (3 x+2)}-\frac{(1-2 x)^{5/2} (5 x+3)^{5/2}}{6 (3 x+2)^2}-\frac{785}{36} \sqrt{1-2 x} (5 x+3)^{3/2}+\frac{34145 \sqrt{1-2 x} \sqrt{5 x+3}}{1944}+\frac{81733 \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5832}+\frac{21935 \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2916}","\frac{575}{162} \sqrt{1-2 x} (5 x+3)^{5/2}+\frac{185 (1-2 x)^{3/2} (5 x+3)^{5/2}}{36 (3 x+2)}-\frac{(1-2 x)^{5/2} (5 x+3)^{5/2}}{6 (3 x+2)^2}-\frac{785}{36} \sqrt{1-2 x} (5 x+3)^{3/2}+\frac{34145 \sqrt{1-2 x} \sqrt{5 x+3}}{1944}+\frac{81733 \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5832}+\frac{21935 \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2916}",1,"(34145*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/1944 - (785*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/36 + (575*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/162 - ((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(6*(2 + 3*x)^2) + (185*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(36*(2 + 3*x)) + (81733*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/5832 + (21935*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/2916","A",10,8,26,0.3077,1,"{97, 149, 154, 157, 54, 216, 93, 204}"
2418,1,195,0,0.079504,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^4} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^4,x]","-\frac{10385 \sqrt{1-2 x} (5 x+3)^{5/2}}{648 (3 x+2)}+\frac{185 (1-2 x)^{3/2} (5 x+3)^{5/2}}{108 (3 x+2)^2}-\frac{(1-2 x)^{5/2} (5 x+3)^{5/2}}{9 (3 x+2)^3}+\frac{2075}{72} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{48625 \sqrt{1-2 x} \sqrt{5 x+3}}{1944}-\frac{21935 \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1458}-\frac{408665 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{5832 \sqrt{7}}","-\frac{10385 \sqrt{1-2 x} (5 x+3)^{5/2}}{648 (3 x+2)}+\frac{185 (1-2 x)^{3/2} (5 x+3)^{5/2}}{108 (3 x+2)^2}-\frac{(1-2 x)^{5/2} (5 x+3)^{5/2}}{9 (3 x+2)^3}+\frac{2075}{72} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{48625 \sqrt{1-2 x} \sqrt{5 x+3}}{1944}-\frac{21935 \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1458}-\frac{408665 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{5832 \sqrt{7}}",1,"(-48625*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/1944 + (2075*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/72 - ((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(9*(2 + 3*x)^3) + (185*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(108*(2 + 3*x)^2) - (10385*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(648*(2 + 3*x)) - (21935*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/1458 - (408665*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(5832*Sqrt[7])","A",10,8,26,0.3077,1,"{97, 149, 154, 157, 54, 216, 93, 204}"
2419,1,200,0,0.08079,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^5} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^5,x]","\frac{1165 \sqrt{1-2 x} (5 x+3)^{5/2}}{2592 (3 x+2)^2}+\frac{185 (1-2 x)^{3/2} (5 x+3)^{5/2}}{216 (3 x+2)^3}-\frac{(1-2 x)^{5/2} (5 x+3)^{5/2}}{12 (3 x+2)^4}-\frac{3485 \sqrt{1-2 x} (5 x+3)^{3/2}}{4032 (3 x+2)}+\frac{249575 \sqrt{1-2 x} \sqrt{5 x+3}}{108864}+\frac{1850}{729} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{3304795 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{326592 \sqrt{7}}","\frac{1165 \sqrt{1-2 x} (5 x+3)^{5/2}}{2592 (3 x+2)^2}+\frac{185 (1-2 x)^{3/2} (5 x+3)^{5/2}}{216 (3 x+2)^3}-\frac{(1-2 x)^{5/2} (5 x+3)^{5/2}}{12 (3 x+2)^4}-\frac{3485 \sqrt{1-2 x} (5 x+3)^{3/2}}{4032 (3 x+2)}+\frac{249575 \sqrt{1-2 x} \sqrt{5 x+3}}{108864}+\frac{1850}{729} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{3304795 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{326592 \sqrt{7}}",1,"(249575*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/108864 - (3485*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(4032*(2 + 3*x)) - ((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(12*(2 + 3*x)^4) + (185*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(216*(2 + 3*x)^3) + (1165*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2592*(2 + 3*x)^2) + (1850*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/729 + (3304795*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(326592*Sqrt[7])","A",10,8,26,0.3077,1,"{97, 149, 154, 157, 54, 216, 93, 204}"
2420,1,207,0,0.0810377,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^6} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^6,x]","\frac{2543 \sqrt{1-2 x} (5 x+3)^{5/2}}{1296 (3 x+2)^3}+\frac{37 (1-2 x)^{3/2} (5 x+3)^{5/2}}{72 (3 x+2)^4}-\frac{(1-2 x)^{5/2} (5 x+3)^{5/2}}{15 (3 x+2)^5}-\frac{32453 \sqrt{1-2 x} (5 x+3)^{3/2}}{36288 (3 x+2)^2}-\frac{3248687 \sqrt{1-2 x} \sqrt{5 x+3}}{1524096 (3 x+2)}-\frac{200}{729} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{109715471 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{4572288 \sqrt{7}}","\frac{2543 \sqrt{1-2 x} (5 x+3)^{5/2}}{1296 (3 x+2)^3}+\frac{37 (1-2 x)^{3/2} (5 x+3)^{5/2}}{72 (3 x+2)^4}-\frac{(1-2 x)^{5/2} (5 x+3)^{5/2}}{15 (3 x+2)^5}-\frac{32453 \sqrt{1-2 x} (5 x+3)^{3/2}}{36288 (3 x+2)^2}-\frac{3248687 \sqrt{1-2 x} \sqrt{5 x+3}}{1524096 (3 x+2)}-\frac{200}{729} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{109715471 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{4572288 \sqrt{7}}",1,"(-3248687*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1524096*(2 + 3*x)) - (32453*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(36288*(2 + 3*x)^2) - ((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(15*(2 + 3*x)^5) + (37*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(72*(2 + 3*x)^4) + (2543*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(1296*(2 + 3*x)^3) - (200*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/729 - (109715471*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(4572288*Sqrt[7])","A",10,7,26,0.2692,1,"{97, 149, 157, 54, 216, 93, 204}"
2421,1,209,0,0.0666988,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^7} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^7,x]","\frac{121 \sqrt{1-2 x} (5 x+3)^{7/2}}{32 (3 x+2)^4}+\frac{11 (1-2 x)^{3/2} (5 x+3)^{7/2}}{12 (3 x+2)^5}+\frac{(1-2 x)^{5/2} (5 x+3)^{7/2}}{6 (3 x+2)^6}-\frac{1331 \sqrt{1-2 x} (5 x+3)^{5/2}}{1344 (3 x+2)^3}-\frac{73205 \sqrt{1-2 x} (5 x+3)^{3/2}}{37632 (3 x+2)^2}-\frac{805255 \sqrt{1-2 x} \sqrt{5 x+3}}{175616 (3 x+2)}-\frac{8857805 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{175616 \sqrt{7}}","\frac{121 \sqrt{1-2 x} (5 x+3)^{7/2}}{32 (3 x+2)^4}+\frac{11 (1-2 x)^{3/2} (5 x+3)^{7/2}}{12 (3 x+2)^5}+\frac{(1-2 x)^{5/2} (5 x+3)^{7/2}}{6 (3 x+2)^6}-\frac{1331 \sqrt{1-2 x} (5 x+3)^{5/2}}{1344 (3 x+2)^3}-\frac{73205 \sqrt{1-2 x} (5 x+3)^{3/2}}{37632 (3 x+2)^2}-\frac{805255 \sqrt{1-2 x} \sqrt{5 x+3}}{175616 (3 x+2)}-\frac{8857805 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{175616 \sqrt{7}}",1,"(-805255*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(175616*(2 + 3*x)) - (73205*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(37632*(2 + 3*x)^2) - (1331*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(1344*(2 + 3*x)^3) + ((1 - 2*x)^(5/2)*(3 + 5*x)^(7/2))/(6*(2 + 3*x)^6) + (11*(1 - 2*x)^(3/2)*(3 + 5*x)^(7/2))/(12*(2 + 3*x)^5) + (121*Sqrt[1 - 2*x]*(3 + 5*x)^(7/2))/(32*(2 + 3*x)^4) - (8857805*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(175616*Sqrt[7])","A",8,3,26,0.1154,1,"{94, 93, 204}"
2422,1,238,0,0.0829556,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^8} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^8,x]","\frac{4477 \sqrt{1-2 x} (5 x+3)^{7/2}}{448 (3 x+2)^4}+\frac{407 (1-2 x)^{3/2} (5 x+3)^{7/2}}{168 (3 x+2)^5}+\frac{37 (1-2 x)^{5/2} (5 x+3)^{7/2}}{84 (3 x+2)^6}+\frac{3 (1-2 x)^{7/2} (5 x+3)^{7/2}}{49 (3 x+2)^7}-\frac{49247 \sqrt{1-2 x} (5 x+3)^{5/2}}{18816 (3 x+2)^3}-\frac{2708585 \sqrt{1-2 x} (5 x+3)^{3/2}}{526848 (3 x+2)^2}-\frac{29794435 \sqrt{1-2 x} \sqrt{5 x+3}}{2458624 (3 x+2)}-\frac{327738785 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2458624 \sqrt{7}}","\frac{4477 \sqrt{1-2 x} (5 x+3)^{7/2}}{448 (3 x+2)^4}+\frac{407 (1-2 x)^{3/2} (5 x+3)^{7/2}}{168 (3 x+2)^5}+\frac{37 (1-2 x)^{5/2} (5 x+3)^{7/2}}{84 (3 x+2)^6}+\frac{3 (1-2 x)^{7/2} (5 x+3)^{7/2}}{49 (3 x+2)^7}-\frac{49247 \sqrt{1-2 x} (5 x+3)^{5/2}}{18816 (3 x+2)^3}-\frac{2708585 \sqrt{1-2 x} (5 x+3)^{3/2}}{526848 (3 x+2)^2}-\frac{29794435 \sqrt{1-2 x} \sqrt{5 x+3}}{2458624 (3 x+2)}-\frac{327738785 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2458624 \sqrt{7}}",1,"(-29794435*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2458624*(2 + 3*x)) - (2708585*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(526848*(2 + 3*x)^2) - (49247*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(18816*(2 + 3*x)^3) + (3*(1 - 2*x)^(7/2)*(3 + 5*x)^(7/2))/(49*(2 + 3*x)^7) + (37*(1 - 2*x)^(5/2)*(3 + 5*x)^(7/2))/(84*(2 + 3*x)^6) + (407*(1 - 2*x)^(3/2)*(3 + 5*x)^(7/2))/(168*(2 + 3*x)^5) + (4477*Sqrt[1 - 2*x]*(3 + 5*x)^(7/2))/(448*(2 + 3*x)^4) - (327738785*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(2458624*Sqrt[7])","A",9,4,26,0.1538,1,"{96, 94, 93, 204}"
2423,1,267,0,0.1152239,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^9} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^9,x]","\frac{47365 \sqrt{1-2 x} (5 x+3)^{5/2}}{36288 (3 x+2)^6}+\frac{185 (1-2 x)^{3/2} (5 x+3)^{5/2}}{1008 (3 x+2)^7}-\frac{(1-2 x)^{5/2} (5 x+3)^{5/2}}{24 (3 x+2)^8}-\frac{720833 \sqrt{1-2 x} (5 x+3)^{3/2}}{508032 (3 x+2)^5}+\frac{6796051494355 \sqrt{1-2 x} \sqrt{5 x+3}}{200741732352 (3 x+2)}+\frac{64983635965 \sqrt{1-2 x} \sqrt{5 x+3}}{14338695168 (3 x+2)^2}+\frac{372439373 \sqrt{1-2 x} \sqrt{5 x+3}}{512096256 (3 x+2)^3}-\frac{75045071 \sqrt{1-2 x} \sqrt{5 x+3}}{85349376 (3 x+2)^4}-\frac{106656830005 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{275365888 \sqrt{7}}","\frac{47365 \sqrt{1-2 x} (5 x+3)^{5/2}}{36288 (3 x+2)^6}+\frac{185 (1-2 x)^{3/2} (5 x+3)^{5/2}}{1008 (3 x+2)^7}-\frac{(1-2 x)^{5/2} (5 x+3)^{5/2}}{24 (3 x+2)^8}-\frac{720833 \sqrt{1-2 x} (5 x+3)^{3/2}}{508032 (3 x+2)^5}+\frac{6796051494355 \sqrt{1-2 x} \sqrt{5 x+3}}{200741732352 (3 x+2)}+\frac{64983635965 \sqrt{1-2 x} \sqrt{5 x+3}}{14338695168 (3 x+2)^2}+\frac{372439373 \sqrt{1-2 x} \sqrt{5 x+3}}{512096256 (3 x+2)^3}-\frac{75045071 \sqrt{1-2 x} \sqrt{5 x+3}}{85349376 (3 x+2)^4}-\frac{106656830005 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{275365888 \sqrt{7}}",1,"(-75045071*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(85349376*(2 + 3*x)^4) + (372439373*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(512096256*(2 + 3*x)^3) + (64983635965*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(14338695168*(2 + 3*x)^2) + (6796051494355*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(200741732352*(2 + 3*x)) - (720833*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(508032*(2 + 3*x)^5) - ((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(24*(2 + 3*x)^8) + (185*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(1008*(2 + 3*x)^7) + (47365*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(36288*(2 + 3*x)^6) - (106656830005*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(275365888*Sqrt[7])","A",11,6,26,0.2308,1,"{97, 149, 151, 12, 93, 204}"
2424,1,179,0,0.0551209,"\int \frac{(1-2 x)^{5/2} (2+3 x)^4}{\sqrt{3+5 x}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^4)/Sqrt[3 + 5*x],x]","-\frac{\sqrt{5 x+3} (11603280 x+12923401) (1-2 x)^{7/2}}{22400000}-\frac{3}{70} (3 x+2)^3 \sqrt{5 x+3} (1-2 x)^{7/2}-\frac{271 (3 x+2)^2 \sqrt{5 x+3} (1-2 x)^{7/2}}{2800}+\frac{9526549 \sqrt{5 x+3} (1-2 x)^{5/2}}{96000000}+\frac{104792039 \sqrt{5 x+3} (1-2 x)^{3/2}}{384000000}+\frac{1152712429 \sqrt{5 x+3} \sqrt{1-2 x}}{1280000000}+\frac{12679836719 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1280000000 \sqrt{10}}","-\frac{\sqrt{5 x+3} (11603280 x+12923401) (1-2 x)^{7/2}}{22400000}-\frac{3}{70} (3 x+2)^3 \sqrt{5 x+3} (1-2 x)^{7/2}-\frac{271 (3 x+2)^2 \sqrt{5 x+3} (1-2 x)^{7/2}}{2800}+\frac{9526549 \sqrt{5 x+3} (1-2 x)^{5/2}}{96000000}+\frac{104792039 \sqrt{5 x+3} (1-2 x)^{3/2}}{384000000}+\frac{1152712429 \sqrt{5 x+3} \sqrt{1-2 x}}{1280000000}+\frac{12679836719 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1280000000 \sqrt{10}}",1,"(1152712429*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/1280000000 + (104792039*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/384000000 + (9526549*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/96000000 - (271*(1 - 2*x)^(7/2)*(2 + 3*x)^2*Sqrt[3 + 5*x])/2800 - (3*(1 - 2*x)^(7/2)*(2 + 3*x)^3*Sqrt[3 + 5*x])/70 - ((1 - 2*x)^(7/2)*Sqrt[3 + 5*x]*(12923401 + 11603280*x))/22400000 + (12679836719*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1280000000*Sqrt[10])","A",8,6,26,0.2308,1,"{100, 153, 147, 50, 54, 216}"
2425,1,150,0,0.0426855,"\int \frac{(1-2 x)^{5/2} (2+3 x)^3}{\sqrt{3+5 x}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^3)/Sqrt[3 + 5*x],x]","-\frac{\sqrt{5 x+3} (47280 x+52951) (1-2 x)^{7/2}}{160000}-\frac{1}{20} (3 x+2)^2 \sqrt{5 x+3} (1-2 x)^{7/2}+\frac{276493 \sqrt{5 x+3} (1-2 x)^{5/2}}{4800000}+\frac{3041423 \sqrt{5 x+3} (1-2 x)^{3/2}}{19200000}+\frac{33455653 \sqrt{5 x+3} \sqrt{1-2 x}}{64000000}+\frac{368012183 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{64000000 \sqrt{10}}","-\frac{\sqrt{5 x+3} (47280 x+52951) (1-2 x)^{7/2}}{160000}-\frac{1}{20} (3 x+2)^2 \sqrt{5 x+3} (1-2 x)^{7/2}+\frac{276493 \sqrt{5 x+3} (1-2 x)^{5/2}}{4800000}+\frac{3041423 \sqrt{5 x+3} (1-2 x)^{3/2}}{19200000}+\frac{33455653 \sqrt{5 x+3} \sqrt{1-2 x}}{64000000}+\frac{368012183 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{64000000 \sqrt{10}}",1,"(33455653*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/64000000 + (3041423*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/19200000 + (276493*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/4800000 - ((1 - 2*x)^(7/2)*(2 + 3*x)^2*Sqrt[3 + 5*x])/20 - ((1 - 2*x)^(7/2)*Sqrt[3 + 5*x]*(52951 + 47280*x))/160000 + (368012183*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(64000000*Sqrt[10])","A",7,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2426,1,143,0,0.040883,"\int \frac{(1-2 x)^{5/2} (2+3 x)^2}{\sqrt{3+5 x}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^2)/Sqrt[3 + 5*x],x]","-\frac{3}{50} (3 x+2) \sqrt{5 x+3} (1-2 x)^{7/2}-\frac{369 \sqrt{5 x+3} (1-2 x)^{7/2}}{4000}+\frac{4907 \sqrt{5 x+3} (1-2 x)^{5/2}}{120000}+\frac{53977 \sqrt{5 x+3} (1-2 x)^{3/2}}{480000}+\frac{593747 \sqrt{5 x+3} \sqrt{1-2 x}}{1600000}+\frac{6531217 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1600000 \sqrt{10}}","-\frac{3}{50} (3 x+2) \sqrt{5 x+3} (1-2 x)^{7/2}-\frac{369 \sqrt{5 x+3} (1-2 x)^{7/2}}{4000}+\frac{4907 \sqrt{5 x+3} (1-2 x)^{5/2}}{120000}+\frac{53977 \sqrt{5 x+3} (1-2 x)^{3/2}}{480000}+\frac{593747 \sqrt{5 x+3} \sqrt{1-2 x}}{1600000}+\frac{6531217 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1600000 \sqrt{10}}",1,"(593747*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/1600000 + (53977*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/480000 + (4907*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/120000 - (369*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/4000 - (3*(1 - 2*x)^(7/2)*(2 + 3*x)*Sqrt[3 + 5*x])/50 + (6531217*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1600000*Sqrt[10])","A",7,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2427,1,116,0,0.0293981,"\int \frac{(1-2 x)^{5/2} (2+3 x)}{\sqrt{3+5 x}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x))/Sqrt[3 + 5*x],x]","-\frac{3}{40} \sqrt{5 x+3} (1-2 x)^{7/2}+\frac{49 \sqrt{5 x+3} (1-2 x)^{5/2}}{1200}+\frac{539 \sqrt{5 x+3} (1-2 x)^{3/2}}{4800}+\frac{5929 \sqrt{5 x+3} \sqrt{1-2 x}}{16000}+\frac{65219 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{16000 \sqrt{10}}","-\frac{3}{40} \sqrt{5 x+3} (1-2 x)^{7/2}+\frac{49 \sqrt{5 x+3} (1-2 x)^{5/2}}{1200}+\frac{539 \sqrt{5 x+3} (1-2 x)^{3/2}}{4800}+\frac{5929 \sqrt{5 x+3} \sqrt{1-2 x}}{16000}+\frac{65219 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{16000 \sqrt{10}}",1,"(5929*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/16000 + (539*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/4800 + (49*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/1200 - (3*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/40 + (65219*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(16000*Sqrt[10])","A",6,4,24,0.1667,1,"{80, 50, 54, 216}"
2428,1,94,0,0.023463,"\int \frac{(1-2 x)^{5/2}}{\sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/Sqrt[3 + 5*x],x]","\frac{1}{15} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{11}{60} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{121}{200} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{1331 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{200 \sqrt{10}}","\frac{1}{15} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{11}{60} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{121}{200} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{1331 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{200 \sqrt{10}}",1,"(121*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/200 + (11*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/60 + ((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/15 + (1331*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(200*Sqrt[10])","A",5,3,19,0.1579,1,"{50, 54, 216}"
2429,1,106,0,0.0413072,"\int \frac{(1-2 x)^{5/2}}{(2+3 x) \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)*Sqrt[3 + 5*x]),x]","-\frac{1}{15} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{239}{450} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{17687 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1350 \sqrt{10}}-\frac{98}{27} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{1}{15} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{239}{450} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{17687 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1350 \sqrt{10}}-\frac{98}{27} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-239*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/450 - ((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/15 - (17687*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1350*Sqrt[10]) - (98*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/27","A",7,7,26,0.2692,1,"{102, 154, 157, 54, 216, 93, 204}"
2430,1,115,0,0.0439154,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^2 \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^2*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (1-2 x)^{3/2}}{3 (3 x+2)}+\frac{74}{45} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{346}{135} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{175}{27} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{7 \sqrt{5 x+3} (1-2 x)^{3/2}}{3 (3 x+2)}+\frac{74}{45} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{346}{135} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{175}{27} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(74*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/45 + (7*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(3*(2 + 3*x)) + (346*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/135 - (175*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/27","A",7,7,26,0.2692,1,"{98, 154, 157, 54, 216, 93, 204}"
2431,1,122,0,0.0413545,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^3 \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^3*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (1-2 x)^{3/2}}{6 (3 x+2)^2}+\frac{637 \sqrt{5 x+3} \sqrt{1-2 x}}{36 (3 x+2)}-\frac{8}{27} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{3035}{108} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{7 \sqrt{5 x+3} (1-2 x)^{3/2}}{6 (3 x+2)^2}+\frac{637 \sqrt{5 x+3} \sqrt{1-2 x}}{36 (3 x+2)}-\frac{8}{27} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{3035}{108} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(7*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(6*(2 + 3*x)^2) + (637*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(36*(2 + 3*x)) - (8*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/27 - (3035*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/108","A",7,7,26,0.2692,1,"{98, 149, 157, 54, 216, 93, 204}"
2432,1,122,0,0.0301388,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^4 \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^4*Sqrt[3 + 5*x]),x]","\frac{\sqrt{5 x+3} (1-2 x)^{5/2}}{3 (3 x+2)^3}+\frac{55 \sqrt{5 x+3} (1-2 x)^{3/2}}{12 (3 x+2)^2}+\frac{605 \sqrt{5 x+3} \sqrt{1-2 x}}{8 (3 x+2)}-\frac{6655 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{8 \sqrt{7}}","\frac{\sqrt{5 x+3} (1-2 x)^{5/2}}{3 (3 x+2)^3}+\frac{55 \sqrt{5 x+3} (1-2 x)^{3/2}}{12 (3 x+2)^2}+\frac{605 \sqrt{5 x+3} \sqrt{1-2 x}}{8 (3 x+2)}-\frac{6655 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{8 \sqrt{7}}",1,"((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(3*(2 + 3*x)^3) + (55*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(12*(2 + 3*x)^2) + (605*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(8*(2 + 3*x)) - (6655*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(8*Sqrt[7])","A",5,3,26,0.1154,1,"{94, 93, 204}"
2433,1,151,0,0.0393694,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^5 \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^5*Sqrt[3 + 5*x]),x]","\frac{3 \sqrt{5 x+3} (1-2 x)^{7/2}}{28 (3 x+2)^4}+\frac{247 \sqrt{5 x+3} (1-2 x)^{5/2}}{168 (3 x+2)^3}+\frac{13585 \sqrt{5 x+3} (1-2 x)^{3/2}}{672 (3 x+2)^2}+\frac{149435 \sqrt{5 x+3} \sqrt{1-2 x}}{448 (3 x+2)}-\frac{1643785 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{448 \sqrt{7}}","\frac{3 \sqrt{5 x+3} (1-2 x)^{7/2}}{28 (3 x+2)^4}+\frac{247 \sqrt{5 x+3} (1-2 x)^{5/2}}{168 (3 x+2)^3}+\frac{13585 \sqrt{5 x+3} (1-2 x)^{3/2}}{672 (3 x+2)^2}+\frac{149435 \sqrt{5 x+3} \sqrt{1-2 x}}{448 (3 x+2)}-\frac{1643785 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{448 \sqrt{7}}",1,"(3*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/(28*(2 + 3*x)^4) + (247*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(168*(2 + 3*x)^3) + (13585*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(672*(2 + 3*x)^2) + (149435*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(448*(2 + 3*x)) - (1643785*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(448*Sqrt[7])","A",6,4,26,0.1538,1,"{96, 94, 93, 204}"
2434,1,180,0,0.0640718,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^6 \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^6*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (1-2 x)^{3/2}}{15 (3 x+2)^5}+\frac{245529161 \sqrt{5 x+3} \sqrt{1-2 x}}{169344 (3 x+2)}+\frac{2347559 \sqrt{5 x+3} \sqrt{1-2 x}}{12096 (3 x+2)^2}+\frac{67187 \sqrt{5 x+3} \sqrt{1-2 x}}{2160 (3 x+2)^3}+\frac{2023 \sqrt{5 x+3} \sqrt{1-2 x}}{360 (3 x+2)^4}-\frac{104040277 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{6272 \sqrt{7}}","\frac{7 \sqrt{5 x+3} (1-2 x)^{3/2}}{15 (3 x+2)^5}+\frac{245529161 \sqrt{5 x+3} \sqrt{1-2 x}}{169344 (3 x+2)}+\frac{2347559 \sqrt{5 x+3} \sqrt{1-2 x}}{12096 (3 x+2)^2}+\frac{67187 \sqrt{5 x+3} \sqrt{1-2 x}}{2160 (3 x+2)^3}+\frac{2023 \sqrt{5 x+3} \sqrt{1-2 x}}{360 (3 x+2)^4}-\frac{104040277 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{6272 \sqrt{7}}",1,"(7*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(15*(2 + 3*x)^5) + (2023*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(360*(2 + 3*x)^4) + (67187*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2160*(2 + 3*x)^3) + (2347559*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(12096*(2 + 3*x)^2) + (245529161*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(169344*(2 + 3*x)) - (104040277*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(6272*Sqrt[7])","A",8,6,26,0.2308,1,"{98, 149, 151, 12, 93, 204}"
2435,1,209,0,0.0814239,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^7 \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^7*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (1-2 x)^{3/2}}{18 (3 x+2)^6}+\frac{31603880465 \sqrt{5 x+3} \sqrt{1-2 x}}{4741632 (3 x+2)}+\frac{302171615 \sqrt{5 x+3} \sqrt{1-2 x}}{338688 (3 x+2)^2}+\frac{1729615 \sqrt{5 x+3} \sqrt{1-2 x}}{12096 (3 x+2)^3}+\frac{21199 \sqrt{5 x+3} \sqrt{1-2 x}}{864 (3 x+2)^4}+\frac{497 \sqrt{5 x+3} \sqrt{1-2 x}}{108 (3 x+2)^5}-\frac{13391796605 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{175616 \sqrt{7}}","\frac{7 \sqrt{5 x+3} (1-2 x)^{3/2}}{18 (3 x+2)^6}+\frac{31603880465 \sqrt{5 x+3} \sqrt{1-2 x}}{4741632 (3 x+2)}+\frac{302171615 \sqrt{5 x+3} \sqrt{1-2 x}}{338688 (3 x+2)^2}+\frac{1729615 \sqrt{5 x+3} \sqrt{1-2 x}}{12096 (3 x+2)^3}+\frac{21199 \sqrt{5 x+3} \sqrt{1-2 x}}{864 (3 x+2)^4}+\frac{497 \sqrt{5 x+3} \sqrt{1-2 x}}{108 (3 x+2)^5}-\frac{13391796605 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{175616 \sqrt{7}}",1,"(7*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(18*(2 + 3*x)^6) + (497*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(108*(2 + 3*x)^5) + (21199*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(864*(2 + 3*x)^4) + (1729615*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(12096*(2 + 3*x)^3) + (302171615*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(338688*(2 + 3*x)^2) + (31603880465*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(4741632*(2 + 3*x)) - (13391796605*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(175616*Sqrt[7])","A",9,6,26,0.2308,1,"{98, 149, 151, 12, 93, 204}"
2436,1,186,0,0.0635421,"\int \frac{(1-2 x)^{5/2} (2+3 x)^4}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^4)/(3 + 5*x)^(3/2),x]","-\frac{2 (1-2 x)^{5/2} (3 x+2)^4}{5 \sqrt{5 x+3}}+\frac{13}{50} (1-2 x)^{5/2} \sqrt{5 x+3} (3 x+2)^3+\frac{111 (1-2 x)^{5/2} \sqrt{5 x+3} (3 x+2)^2}{5000}-\frac{(1-2 x)^{5/2} \sqrt{5 x+3} (1990620 x+2725981)}{8000000}+\frac{3577399 (1-2 x)^{3/2} \sqrt{5 x+3}}{32000000}+\frac{118054167 \sqrt{1-2 x} \sqrt{5 x+3}}{320000000}+\frac{1298595837 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{320000000 \sqrt{10}}","-\frac{2 (1-2 x)^{5/2} (3 x+2)^4}{5 \sqrt{5 x+3}}+\frac{13}{50} (1-2 x)^{5/2} \sqrt{5 x+3} (3 x+2)^3+\frac{111 (1-2 x)^{5/2} \sqrt{5 x+3} (3 x+2)^2}{5000}-\frac{(1-2 x)^{5/2} \sqrt{5 x+3} (1990620 x+2725981)}{8000000}+\frac{3577399 (1-2 x)^{3/2} \sqrt{5 x+3}}{32000000}+\frac{118054167 \sqrt{1-2 x} \sqrt{5 x+3}}{320000000}+\frac{1298595837 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{320000000 \sqrt{10}}",1,"(-2*(1 - 2*x)^(5/2)*(2 + 3*x)^4)/(5*Sqrt[3 + 5*x]) + (118054167*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/320000000 + (3577399*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/32000000 + (111*(1 - 2*x)^(5/2)*(2 + 3*x)^2*Sqrt[3 + 5*x])/5000 + (13*(1 - 2*x)^(5/2)*(2 + 3*x)^3*Sqrt[3 + 5*x])/50 - ((1 - 2*x)^(5/2)*Sqrt[3 + 5*x]*(2725981 + 1990620*x))/8000000 + (1298595837*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(320000000*Sqrt[10])","A",8,6,26,0.2308,1,"{97, 153, 147, 50, 54, 216}"
2437,1,157,0,0.0464469,"\int \frac{(1-2 x)^{5/2} (2+3 x)^3}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^3)/(3 + 5*x)^(3/2),x]","-\frac{2 (1-2 x)^{5/2} (3 x+2)^3}{5 \sqrt{5 x+3}}+\frac{33}{125} (1-2 x)^{5/2} \sqrt{5 x+3} (3 x+2)^2-\frac{9 (2127-460 x) (1-2 x)^{5/2} \sqrt{5 x+3}}{200000}+\frac{66997 (1-2 x)^{3/2} \sqrt{5 x+3}}{800000}+\frac{2210901 \sqrt{1-2 x} \sqrt{5 x+3}}{8000000}+\frac{24319911 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{8000000 \sqrt{10}}","-\frac{2 (1-2 x)^{5/2} (3 x+2)^3}{5 \sqrt{5 x+3}}+\frac{33}{125} (1-2 x)^{5/2} \sqrt{5 x+3} (3 x+2)^2-\frac{9 (2127-460 x) (1-2 x)^{5/2} \sqrt{5 x+3}}{200000}+\frac{66997 (1-2 x)^{3/2} \sqrt{5 x+3}}{800000}+\frac{2210901 \sqrt{1-2 x} \sqrt{5 x+3}}{8000000}+\frac{24319911 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{8000000 \sqrt{10}}",1,"(-2*(1 - 2*x)^(5/2)*(2 + 3*x)^3)/(5*Sqrt[3 + 5*x]) + (2210901*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/8000000 + (66997*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/800000 - (9*(2127 - 460*x)*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/200000 + (33*(1 - 2*x)^(5/2)*(2 + 3*x)^2*Sqrt[3 + 5*x])/125 + (24319911*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(8000000*Sqrt[10])","A",7,6,26,0.2308,1,"{97, 153, 147, 50, 54, 216}"
2438,1,138,0,0.0399596,"\int \frac{(1-2 x)^{5/2} (2+3 x)^2}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^2)/(3 + 5*x)^(3/2),x]","-\frac{9}{200} \sqrt{5 x+3} (1-2 x)^{7/2}-\frac{2 (1-2 x)^{7/2}}{275 \sqrt{5 x+3}}+\frac{651 \sqrt{5 x+3} (1-2 x)^{5/2}}{22000}+\frac{651 \sqrt{5 x+3} (1-2 x)^{3/2}}{8000}+\frac{21483 \sqrt{5 x+3} \sqrt{1-2 x}}{80000}+\frac{236313 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{80000 \sqrt{10}}","-\frac{9}{200} \sqrt{5 x+3} (1-2 x)^{7/2}-\frac{2 (1-2 x)^{7/2}}{275 \sqrt{5 x+3}}+\frac{651 \sqrt{5 x+3} (1-2 x)^{5/2}}{22000}+\frac{651 \sqrt{5 x+3} (1-2 x)^{3/2}}{8000}+\frac{21483 \sqrt{5 x+3} \sqrt{1-2 x}}{80000}+\frac{236313 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{80000 \sqrt{10}}",1,"(-2*(1 - 2*x)^(7/2))/(275*Sqrt[3 + 5*x]) + (21483*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/80000 + (651*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/8000 + (651*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/22000 - (9*(1 - 2*x)^(7/2)*Sqrt[3 + 5*x])/200 + (236313*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(80000*Sqrt[10])","A",7,5,26,0.1923,1,"{89, 80, 50, 54, 216}"
2439,1,116,0,0.0293435,"\int \frac{(1-2 x)^{5/2} (2+3 x)}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x))/(3 + 5*x)^(3/2),x]","-\frac{2 (1-2 x)^{7/2}}{55 \sqrt{5 x+3}}+\frac{7}{275} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{7}{100} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{231 \sqrt{5 x+3} \sqrt{1-2 x}}{1000}+\frac{2541 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1000 \sqrt{10}}","-\frac{2 (1-2 x)^{7/2}}{55 \sqrt{5 x+3}}+\frac{7}{275} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{7}{100} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{231 \sqrt{5 x+3} \sqrt{1-2 x}}{1000}+\frac{2541 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1000 \sqrt{10}}",1,"(-2*(1 - 2*x)^(7/2))/(55*Sqrt[3 + 5*x]) + (231*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/1000 + (7*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/100 + (7*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/275 + (2541*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1000*Sqrt[10])","A",6,4,24,0.1667,1,"{78, 50, 54, 216}"
2440,1,94,0,0.0222389,"\int \frac{(1-2 x)^{5/2}}{(3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(5/2)/(3 + 5*x)^(3/2),x]","-\frac{2 (1-2 x)^{5/2}}{5 \sqrt{5 x+3}}-\frac{1}{5} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{33}{50} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{363 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{50 \sqrt{10}}","-\frac{2 (1-2 x)^{5/2}}{5 \sqrt{5 x+3}}-\frac{1}{5} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{33}{50} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{363 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{50 \sqrt{10}}",1,"(-2*(1 - 2*x)^(5/2))/(5*Sqrt[3 + 5*x]) - (33*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/50 - ((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/5 - (363*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(50*Sqrt[10])","A",5,4,19,0.2105,1,"{47, 50, 54, 216}"
2441,1,108,0,0.0433073,"\int \frac{(1-2 x)^{5/2}}{(2+3 x) (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)*(3 + 5*x)^(3/2)),x]","-\frac{22 (1-2 x)^{3/2}}{5 \sqrt{5 x+3}}-\frac{128}{75} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{338}{225} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{98}{9} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{22 (1-2 x)^{3/2}}{5 \sqrt{5 x+3}}-\frac{128}{75} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{338}{225} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{98}{9} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-22*(1 - 2*x)^(3/2))/(5*Sqrt[3 + 5*x]) - (128*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/75 + (338*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/225 + (98*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/9","A",7,7,26,0.2692,1,"{98, 154, 157, 54, 216, 93, 204}"
2442,1,115,0,0.0405006,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^2 (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^2*(3 + 5*x)^(3/2)),x]","\frac{7 (1-2 x)^{3/2}}{3 (3 x+2) \sqrt{5 x+3}}-\frac{1111 \sqrt{1-2 x}}{15 \sqrt{5 x+3}}-\frac{8}{45} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{665}{9} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{7 (1-2 x)^{3/2}}{3 (3 x+2) \sqrt{5 x+3}}-\frac{1111 \sqrt{1-2 x}}{15 \sqrt{5 x+3}}-\frac{8}{45} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{665}{9} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-1111*Sqrt[1 - 2*x])/(15*Sqrt[3 + 5*x]) + (7*(1 - 2*x)^(3/2))/(3*(2 + 3*x)*Sqrt[3 + 5*x]) - (8*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/45 + (665*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/9","A",7,7,26,0.2692,1,"{98, 150, 157, 54, 216, 93, 204}"
2443,1,115,0,0.0287101,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^3 (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^3*(3 + 5*x)^(3/2)),x]","\frac{(1-2 x)^{5/2}}{2 (3 x+2)^2 \sqrt{5 x+3}}+\frac{55 (1-2 x)^{3/2}}{4 (3 x+2) \sqrt{5 x+3}}-\frac{1815 \sqrt{1-2 x}}{4 \sqrt{5 x+3}}+\frac{1815}{4} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{(1-2 x)^{5/2}}{2 (3 x+2)^2 \sqrt{5 x+3}}+\frac{55 (1-2 x)^{3/2}}{4 (3 x+2) \sqrt{5 x+3}}-\frac{1815 \sqrt{1-2 x}}{4 \sqrt{5 x+3}}+\frac{1815}{4} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-1815*Sqrt[1 - 2*x])/(4*Sqrt[3 + 5*x]) + (1 - 2*x)^(5/2)/(2*(2 + 3*x)^2*Sqrt[3 + 5*x]) + (55*(1 - 2*x)^(3/2))/(4*(2 + 3*x)*Sqrt[3 + 5*x]) + (1815*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/4","A",5,3,26,0.1154,1,"{94, 93, 204}"
2444,1,144,0,0.0402417,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^4 (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^4*(3 + 5*x)^(3/2)),x]","\frac{(1-2 x)^{7/2}}{7 (3 x+2)^3 \sqrt{5 x+3}}+\frac{81 (1-2 x)^{5/2}}{28 (3 x+2)^2 \sqrt{5 x+3}}+\frac{4455 (1-2 x)^{3/2}}{56 (3 x+2) \sqrt{5 x+3}}-\frac{147015 \sqrt{1-2 x}}{56 \sqrt{5 x+3}}+\frac{147015 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{8 \sqrt{7}}","\frac{(1-2 x)^{7/2}}{7 (3 x+2)^3 \sqrt{5 x+3}}+\frac{81 (1-2 x)^{5/2}}{28 (3 x+2)^2 \sqrt{5 x+3}}+\frac{4455 (1-2 x)^{3/2}}{56 (3 x+2) \sqrt{5 x+3}}-\frac{147015 \sqrt{1-2 x}}{56 \sqrt{5 x+3}}+\frac{147015 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{8 \sqrt{7}}",1,"(-147015*Sqrt[1 - 2*x])/(56*Sqrt[3 + 5*x]) + (1 - 2*x)^(7/2)/(7*(2 + 3*x)^3*Sqrt[3 + 5*x]) + (81*(1 - 2*x)^(5/2))/(28*(2 + 3*x)^2*Sqrt[3 + 5*x]) + (4455*(1 - 2*x)^(3/2))/(56*(2 + 3*x)*Sqrt[3 + 5*x]) + (147015*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(8*Sqrt[7])","A",6,4,26,0.1538,1,"{96, 94, 93, 204}"
2445,1,173,0,0.0609107,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^5 (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^5*(3 + 5*x)^(3/2)),x]","\frac{7 (1-2 x)^{3/2}}{12 (3 x+2)^4 \sqrt{5 x+3}}+\frac{3997345 \sqrt{1-2 x}}{4032 (3 x+2) \sqrt{5 x+3}}+\frac{22957 \sqrt{1-2 x}}{288 (3 x+2)^2 \sqrt{5 x+3}}+\frac{2051 \sqrt{1-2 x}}{216 (3 x+2)^3 \sqrt{5 x+3}}-\frac{181304825 \sqrt{1-2 x}}{12096 \sqrt{5 x+3}}+\frac{46095555 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{448 \sqrt{7}}","\frac{7 (1-2 x)^{3/2}}{12 (3 x+2)^4 \sqrt{5 x+3}}+\frac{3997345 \sqrt{1-2 x}}{4032 (3 x+2) \sqrt{5 x+3}}+\frac{22957 \sqrt{1-2 x}}{288 (3 x+2)^2 \sqrt{5 x+3}}+\frac{2051 \sqrt{1-2 x}}{216 (3 x+2)^3 \sqrt{5 x+3}}-\frac{181304825 \sqrt{1-2 x}}{12096 \sqrt{5 x+3}}+\frac{46095555 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{448 \sqrt{7}}",1,"(-181304825*Sqrt[1 - 2*x])/(12096*Sqrt[3 + 5*x]) + (7*(1 - 2*x)^(3/2))/(12*(2 + 3*x)^4*Sqrt[3 + 5*x]) + (2051*Sqrt[1 - 2*x])/(216*(2 + 3*x)^3*Sqrt[3 + 5*x]) + (22957*Sqrt[1 - 2*x])/(288*(2 + 3*x)^2*Sqrt[3 + 5*x]) + (3997345*Sqrt[1 - 2*x])/(4032*(2 + 3*x)*Sqrt[3 + 5*x]) + (46095555*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(448*Sqrt[7])","A",8,7,26,0.2692,1,"{98, 149, 151, 152, 12, 93, 204}"
2446,1,202,0,0.0771676,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^6 (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^6*(3 + 5*x)^(3/2)),x]","\frac{7 (1-2 x)^{3/2}}{15 (3 x+2)^5 \sqrt{5 x+3}}+\frac{102293609 \sqrt{1-2 x}}{18816 (3 x+2) \sqrt{5 x+3}}+\frac{587477 \sqrt{1-2 x}}{1344 (3 x+2)^2 \sqrt{5 x+3}}+\frac{12023 \sqrt{1-2 x}}{240 (3 x+2)^3 \sqrt{5 x+3}}+\frac{2513 \sqrt{1-2 x}}{360 (3 x+2)^4 \sqrt{5 x+3}}-\frac{4639661185 \sqrt{1-2 x}}{56448 \sqrt{5 x+3}}+\frac{3538809681 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{6272 \sqrt{7}}","\frac{7 (1-2 x)^{3/2}}{15 (3 x+2)^5 \sqrt{5 x+3}}+\frac{102293609 \sqrt{1-2 x}}{18816 (3 x+2) \sqrt{5 x+3}}+\frac{587477 \sqrt{1-2 x}}{1344 (3 x+2)^2 \sqrt{5 x+3}}+\frac{12023 \sqrt{1-2 x}}{240 (3 x+2)^3 \sqrt{5 x+3}}+\frac{2513 \sqrt{1-2 x}}{360 (3 x+2)^4 \sqrt{5 x+3}}-\frac{4639661185 \sqrt{1-2 x}}{56448 \sqrt{5 x+3}}+\frac{3538809681 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{6272 \sqrt{7}}",1,"(-4639661185*Sqrt[1 - 2*x])/(56448*Sqrt[3 + 5*x]) + (7*(1 - 2*x)^(3/2))/(15*(2 + 3*x)^5*Sqrt[3 + 5*x]) + (2513*Sqrt[1 - 2*x])/(360*(2 + 3*x)^4*Sqrt[3 + 5*x]) + (12023*Sqrt[1 - 2*x])/(240*(2 + 3*x)^3*Sqrt[3 + 5*x]) + (587477*Sqrt[1 - 2*x])/(1344*(2 + 3*x)^2*Sqrt[3 + 5*x]) + (102293609*Sqrt[1 - 2*x])/(18816*(2 + 3*x)*Sqrt[3 + 5*x]) + (3538809681*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(6272*Sqrt[7])","A",9,7,26,0.2692,1,"{98, 149, 151, 152, 12, 93, 204}"
2447,1,193,0,0.066504,"\int \frac{(1-2 x)^{5/2} (2+3 x)^4}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^4)/(3 + 5*x)^(5/2),x]","-\frac{508 (1-2 x)^{3/2} (3 x+2)^4}{75 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{5/2} (3 x+2)^4}{15 (5 x+3)^{3/2}}+\frac{2514}{625} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^3+\frac{23991 (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^2}{25000}+\frac{21 (1-2 x)^{3/2} \sqrt{5 x+3} (118392 x+64435)}{4000000}+\frac{8026963 \sqrt{1-2 x} \sqrt{5 x+3}}{40000000}+\frac{88296593 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{40000000 \sqrt{10}}","-\frac{508 (1-2 x)^{3/2} (3 x+2)^4}{75 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{5/2} (3 x+2)^4}{15 (5 x+3)^{3/2}}+\frac{2514}{625} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^3+\frac{23991 (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^2}{25000}+\frac{21 (1-2 x)^{3/2} \sqrt{5 x+3} (118392 x+64435)}{4000000}+\frac{8026963 \sqrt{1-2 x} \sqrt{5 x+3}}{40000000}+\frac{88296593 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{40000000 \sqrt{10}}",1,"(-2*(1 - 2*x)^(5/2)*(2 + 3*x)^4)/(15*(3 + 5*x)^(3/2)) - (508*(1 - 2*x)^(3/2)*(2 + 3*x)^4)/(75*Sqrt[3 + 5*x]) + (8026963*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/40000000 + (23991*(1 - 2*x)^(3/2)*(2 + 3*x)^2*Sqrt[3 + 5*x])/25000 + (2514*(1 - 2*x)^(3/2)*(2 + 3*x)^3*Sqrt[3 + 5*x])/625 + (21*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]*(64435 + 118392*x))/4000000 + (88296593*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(40000000*Sqrt[10])","A",8,7,26,0.2692,1,"{97, 150, 153, 147, 50, 54, 216}"
2448,1,164,0,0.0507194,"\int \frac{(1-2 x)^{5/2} (2+3 x)^3}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^3)/(3 + 5*x)^(5/2),x]","-\frac{376 (1-2 x)^{3/2} (3 x+2)^3}{75 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{5/2} (3 x+2)^3}{15 (5 x+3)^{3/2}}+\frac{741}{250} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^2+\frac{21 (1-2 x)^{3/2} \sqrt{5 x+3} (4392 x+3185)}{40000}+\frac{69713 \sqrt{1-2 x} \sqrt{5 x+3}}{400000}+\frac{766843 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{400000 \sqrt{10}}","-\frac{376 (1-2 x)^{3/2} (3 x+2)^3}{75 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{5/2} (3 x+2)^3}{15 (5 x+3)^{3/2}}+\frac{741}{250} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^2+\frac{21 (1-2 x)^{3/2} \sqrt{5 x+3} (4392 x+3185)}{40000}+\frac{69713 \sqrt{1-2 x} \sqrt{5 x+3}}{400000}+\frac{766843 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{400000 \sqrt{10}}",1,"(-2*(1 - 2*x)^(5/2)*(2 + 3*x)^3)/(15*(3 + 5*x)^(3/2)) - (376*(1 - 2*x)^(3/2)*(2 + 3*x)^3)/(75*Sqrt[3 + 5*x]) + (69713*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/400000 + (741*(1 - 2*x)^(3/2)*(2 + 3*x)^2*Sqrt[3 + 5*x])/250 + (21*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]*(3185 + 4392*x))/40000 + (766843*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(400000*Sqrt[10])","A",7,7,26,0.2692,1,"{97, 150, 153, 147, 50, 54, 216}"
2449,1,138,0,0.0386716,"\int \frac{(1-2 x)^{5/2} (2+3 x)^2}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^2)/(3 + 5*x)^(5/2),x]","-\frac{76 (1-2 x)^{7/2}}{1815 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{7/2}}{825 (5 x+3)^{3/2}}+\frac{329 \sqrt{5 x+3} (1-2 x)^{5/2}}{45375}+\frac{329 \sqrt{5 x+3} (1-2 x)^{3/2}}{16500}+\frac{329 \sqrt{5 x+3} \sqrt{1-2 x}}{5000}+\frac{3619 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5000 \sqrt{10}}","-\frac{76 (1-2 x)^{7/2}}{1815 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{7/2}}{825 (5 x+3)^{3/2}}+\frac{329 \sqrt{5 x+3} (1-2 x)^{5/2}}{45375}+\frac{329 \sqrt{5 x+3} (1-2 x)^{3/2}}{16500}+\frac{329 \sqrt{5 x+3} \sqrt{1-2 x}}{5000}+\frac{3619 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5000 \sqrt{10}}",1,"(-2*(1 - 2*x)^(7/2))/(825*(3 + 5*x)^(3/2)) - (76*(1 - 2*x)^(7/2))/(1815*Sqrt[3 + 5*x]) + (329*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/5000 + (329*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/16500 + (329*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/45375 + (3619*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(5000*Sqrt[10])","A",7,5,26,0.1923,1,"{89, 78, 50, 54, 216}"
2450,1,116,0,0.0282564,"\int \frac{(1-2 x)^{5/2} (2+3 x)}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x))/(3 + 5*x)^(5/2),x]","-\frac{2 (1-2 x)^{7/2}}{165 (5 x+3)^{3/2}}-\frac{182 (1-2 x)^{5/2}}{825 \sqrt{5 x+3}}-\frac{91}{825} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{91}{250} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{1001 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{250 \sqrt{10}}","-\frac{2 (1-2 x)^{7/2}}{165 (5 x+3)^{3/2}}-\frac{182 (1-2 x)^{5/2}}{825 \sqrt{5 x+3}}-\frac{91}{825} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{91}{250} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{1001 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{250 \sqrt{10}}",1,"(-2*(1 - 2*x)^(7/2))/(165*(3 + 5*x)^(3/2)) - (182*(1 - 2*x)^(5/2))/(825*Sqrt[3 + 5*x]) - (91*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/250 - (91*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/825 - (1001*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(250*Sqrt[10])","A",6,5,24,0.2083,1,"{78, 47, 50, 54, 216}"
2451,1,96,0,0.0233207,"\int \frac{(1-2 x)^{5/2}}{(3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(5/2)/(3 + 5*x)^(5/2),x]","-\frac{2 (1-2 x)^{5/2}}{15 (5 x+3)^{3/2}}+\frac{4 (1-2 x)^{3/2}}{15 \sqrt{5 x+3}}+\frac{4}{25} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{22}{25} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","-\frac{2 (1-2 x)^{5/2}}{15 (5 x+3)^{3/2}}+\frac{4 (1-2 x)^{3/2}}{15 \sqrt{5 x+3}}+\frac{4}{25} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{22}{25} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(-2*(1 - 2*x)^(5/2))/(15*(3 + 5*x)^(3/2)) + (4*(1 - 2*x)^(3/2))/(15*Sqrt[3 + 5*x]) + (4*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/25 + (22*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/25","A",5,4,19,0.2105,1,"{47, 50, 54, 216}"
2452,1,108,0,0.0398689,"\int \frac{(1-2 x)^{5/2}}{(2+3 x) (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)*(3 + 5*x)^(5/2)),x]","-\frac{22 (1-2 x)^{3/2}}{15 (5 x+3)^{3/2}}+\frac{814 \sqrt{1-2 x}}{25 \sqrt{5 x+3}}-\frac{8}{75} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{98}{3} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","-\frac{22 (1-2 x)^{3/2}}{15 (5 x+3)^{3/2}}+\frac{814 \sqrt{1-2 x}}{25 \sqrt{5 x+3}}-\frac{8}{75} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{98}{3} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-22*(1 - 2*x)^(3/2))/(15*(3 + 5*x)^(3/2)) + (814*Sqrt[1 - 2*x])/(25*Sqrt[3 + 5*x]) - (8*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/75 - (98*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/3","A",7,7,26,0.2692,1,"{98, 150, 157, 54, 216, 93, 204}"
2453,1,101,0,0.0304279,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^2 (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^2*(3 + 5*x)^(5/2)),x]","\frac{(1-2 x)^{5/2}}{(3 x+2) (5 x+3)^{3/2}}-\frac{55 (1-2 x)^{3/2}}{3 (5 x+3)^{3/2}}+\frac{385 \sqrt{1-2 x}}{\sqrt{5 x+3}}-385 \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{(1-2 x)^{5/2}}{(3 x+2) (5 x+3)^{3/2}}-\frac{55 (1-2 x)^{3/2}}{3 (5 x+3)^{3/2}}+\frac{385 \sqrt{1-2 x}}{\sqrt{5 x+3}}-385 \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-55*(1 - 2*x)^(3/2))/(3*(3 + 5*x)^(3/2)) + (1 - 2*x)^(5/2)/((2 + 3*x)*(3 + 5*x)^(3/2)) + (385*Sqrt[1 - 2*x])/Sqrt[3 + 5*x] - 385*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])]","A",5,3,26,0.1154,1,"{94, 93, 204}"
2454,1,137,0,0.038895,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^3 (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^3*(3 + 5*x)^(5/2)),x]","\frac{3 (1-2 x)^{7/2}}{14 (3 x+2)^2 (5 x+3)^{3/2}}+\frac{239 (1-2 x)^{5/2}}{28 (3 x+2) (5 x+3)^{3/2}}-\frac{13145 (1-2 x)^{3/2}}{84 (5 x+3)^{3/2}}+\frac{13145 \sqrt{1-2 x}}{4 \sqrt{5 x+3}}-\frac{13145}{4} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)","\frac{3 (1-2 x)^{7/2}}{14 (3 x+2)^2 (5 x+3)^{3/2}}+\frac{239 (1-2 x)^{5/2}}{28 (3 x+2) (5 x+3)^{3/2}}-\frac{13145 (1-2 x)^{3/2}}{84 (5 x+3)^{3/2}}+\frac{13145 \sqrt{1-2 x}}{4 \sqrt{5 x+3}}-\frac{13145}{4} \sqrt{7} \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)",1,"(-13145*(1 - 2*x)^(3/2))/(84*(3 + 5*x)^(3/2)) + (3*(1 - 2*x)^(7/2))/(14*(2 + 3*x)^2*(3 + 5*x)^(3/2)) + (239*(1 - 2*x)^(5/2))/(28*(2 + 3*x)*(3 + 5*x)^(3/2)) + (13145*Sqrt[1 - 2*x])/(4*Sqrt[3 + 5*x]) - (13145*Sqrt[7]*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/4","A",6,4,26,0.1538,1,"{96, 94, 93, 204}"
2455,1,166,0,0.0595878,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^4 (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^4*(3 + 5*x)^(5/2)),x]","\frac{7 (1-2 x)^{3/2}}{9 (3 x+2)^3 (5 x+3)^{3/2}}+\frac{1784635 \sqrt{1-2 x}}{72 \sqrt{5 x+3}}+\frac{7843 \sqrt{1-2 x}}{24 (3 x+2) (5 x+3)^{3/2}}+\frac{77 \sqrt{1-2 x}}{4 (3 x+2)^2 (5 x+3)^{3/2}}-\frac{196735 \sqrt{1-2 x}}{72 (5 x+3)^{3/2}}-\frac{1361195 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{8 \sqrt{7}}","\frac{7 (1-2 x)^{3/2}}{9 (3 x+2)^3 (5 x+3)^{3/2}}+\frac{1784635 \sqrt{1-2 x}}{72 \sqrt{5 x+3}}+\frac{7843 \sqrt{1-2 x}}{24 (3 x+2) (5 x+3)^{3/2}}+\frac{77 \sqrt{1-2 x}}{4 (3 x+2)^2 (5 x+3)^{3/2}}-\frac{196735 \sqrt{1-2 x}}{72 (5 x+3)^{3/2}}-\frac{1361195 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{8 \sqrt{7}}",1,"(-196735*Sqrt[1 - 2*x])/(72*(3 + 5*x)^(3/2)) + (7*(1 - 2*x)^(3/2))/(9*(2 + 3*x)^3*(3 + 5*x)^(3/2)) + (77*Sqrt[1 - 2*x])/(4*(2 + 3*x)^2*(3 + 5*x)^(3/2)) + (7843*Sqrt[1 - 2*x])/(24*(2 + 3*x)*(3 + 5*x)^(3/2)) + (1784635*Sqrt[1 - 2*x])/(72*Sqrt[3 + 5*x]) - (1361195*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(8*Sqrt[7])","A",8,7,26,0.2692,1,"{98, 149, 151, 152, 12, 93, 204}"
2456,1,195,0,0.0724418,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^5 (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^5*(3 + 5*x)^(5/2)),x]","\frac{7 (1-2 x)^{3/2}}{12 (3 x+2)^4 (5 x+3)^{3/2}}+\frac{227000875 \sqrt{1-2 x}}{1344 \sqrt{5 x+3}}+\frac{2992825 \sqrt{1-2 x}}{1344 (3 x+2) (5 x+3)^{3/2}}+\frac{36817 \sqrt{1-2 x}}{288 (3 x+2)^2 (5 x+3)^{3/2}}+\frac{847 \sqrt{1-2 x}}{72 (3 x+2)^3 (5 x+3)^{3/2}}-\frac{25024175 \sqrt{1-2 x}}{1344 (5 x+3)^{3/2}}-\frac{519421265 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{448 \sqrt{7}}","\frac{7 (1-2 x)^{3/2}}{12 (3 x+2)^4 (5 x+3)^{3/2}}+\frac{227000875 \sqrt{1-2 x}}{1344 \sqrt{5 x+3}}+\frac{2992825 \sqrt{1-2 x}}{1344 (3 x+2) (5 x+3)^{3/2}}+\frac{36817 \sqrt{1-2 x}}{288 (3 x+2)^2 (5 x+3)^{3/2}}+\frac{847 \sqrt{1-2 x}}{72 (3 x+2)^3 (5 x+3)^{3/2}}-\frac{25024175 \sqrt{1-2 x}}{1344 (5 x+3)^{3/2}}-\frac{519421265 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{448 \sqrt{7}}",1,"(-25024175*Sqrt[1 - 2*x])/(1344*(3 + 5*x)^(3/2)) + (7*(1 - 2*x)^(3/2))/(12*(2 + 3*x)^4*(3 + 5*x)^(3/2)) + (847*Sqrt[1 - 2*x])/(72*(2 + 3*x)^3*(3 + 5*x)^(3/2)) + (36817*Sqrt[1 - 2*x])/(288*(2 + 3*x)^2*(3 + 5*x)^(3/2)) + (2992825*Sqrt[1 - 2*x])/(1344*(2 + 3*x)*(3 + 5*x)^(3/2)) + (227000875*Sqrt[1 - 2*x])/(1344*Sqrt[3 + 5*x]) - (519421265*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(448*Sqrt[7])","A",9,7,26,0.2692,1,"{98, 149, 151, 152, 12, 93, 204}"
2457,1,224,0,0.0939754,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^6 (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^6*(3 + 5*x)^(5/2)),x]","\frac{7 (1-2 x)^{3/2}}{15 (3 x+2)^5 (5 x+3)^{3/2}}+\frac{20529722435 \sqrt{1-2 x}}{18816 \sqrt{5 x+3}}+\frac{270667969 \sqrt{1-2 x}}{18816 (3 x+2) (5 x+3)^{3/2}}+\frac{3329689 \sqrt{1-2 x}}{4032 (3 x+2)^2 (5 x+3)^{3/2}}+\frac{53009 \sqrt{1-2 x}}{720 (3 x+2)^3 (5 x+3)^{3/2}}+\frac{1001 \sqrt{1-2 x}}{120 (3 x+2)^4 (5 x+3)^{3/2}}-\frac{754386765 \sqrt{1-2 x}}{6272 (5 x+3)^{3/2}}-\frac{46975917593 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{6272 \sqrt{7}}","\frac{7 (1-2 x)^{3/2}}{15 (3 x+2)^5 (5 x+3)^{3/2}}+\frac{20529722435 \sqrt{1-2 x}}{18816 \sqrt{5 x+3}}+\frac{270667969 \sqrt{1-2 x}}{18816 (3 x+2) (5 x+3)^{3/2}}+\frac{3329689 \sqrt{1-2 x}}{4032 (3 x+2)^2 (5 x+3)^{3/2}}+\frac{53009 \sqrt{1-2 x}}{720 (3 x+2)^3 (5 x+3)^{3/2}}+\frac{1001 \sqrt{1-2 x}}{120 (3 x+2)^4 (5 x+3)^{3/2}}-\frac{754386765 \sqrt{1-2 x}}{6272 (5 x+3)^{3/2}}-\frac{46975917593 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{6272 \sqrt{7}}",1,"(-754386765*Sqrt[1 - 2*x])/(6272*(3 + 5*x)^(3/2)) + (7*(1 - 2*x)^(3/2))/(15*(2 + 3*x)^5*(3 + 5*x)^(3/2)) + (1001*Sqrt[1 - 2*x])/(120*(2 + 3*x)^4*(3 + 5*x)^(3/2)) + (53009*Sqrt[1 - 2*x])/(720*(2 + 3*x)^3*(3 + 5*x)^(3/2)) + (3329689*Sqrt[1 - 2*x])/(4032*(2 + 3*x)^2*(3 + 5*x)^(3/2)) + (270667969*Sqrt[1 - 2*x])/(18816*(2 + 3*x)*(3 + 5*x)^(3/2)) + (20529722435*Sqrt[1 - 2*x])/(18816*Sqrt[3 + 5*x]) - (46975917593*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(6272*Sqrt[7])","A",10,7,26,0.2692,1,"{98, 149, 151, 152, 12, 93, 204}"
2458,1,135,0,0.0394758,"\int \frac{(2+3 x)^4 \sqrt{3+5 x}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^4*Sqrt[3 + 5*x])/Sqrt[1 - 2*x],x]","-\frac{3}{50} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^3-\frac{987 \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^2}{4000}-\frac{21 \sqrt{1-2 x} (5 x+3)^{3/2} (92040 x+194923)}{640000}-\frac{97032047 \sqrt{1-2 x} \sqrt{5 x+3}}{2560000}+\frac{1067352517 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2560000 \sqrt{10}}","-\frac{3}{50} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^3-\frac{987 \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^2}{4000}-\frac{21 \sqrt{1-2 x} (5 x+3)^{3/2} (92040 x+194923)}{640000}-\frac{97032047 \sqrt{1-2 x} \sqrt{5 x+3}}{2560000}+\frac{1067352517 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2560000 \sqrt{10}}",1,"(-97032047*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/2560000 - (987*Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(3/2))/4000 - (3*Sqrt[1 - 2*x]*(2 + 3*x)^3*(3 + 5*x)^(3/2))/50 - (21*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)*(194923 + 92040*x))/640000 + (1067352517*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(2560000*Sqrt[10])","A",6,6,26,0.2308,1,"{100, 153, 147, 50, 54, 216}"
2459,1,106,0,0.0267679,"\int \frac{(2+3 x)^3 \sqrt{3+5 x}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^3*Sqrt[3 + 5*x])/Sqrt[1 - 2*x],x]","-\frac{3}{40} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^2-\frac{3 \sqrt{1-2 x} (5 x+3)^{3/2} (408 x+865)}{1280}-\frac{61547 \sqrt{1-2 x} \sqrt{5 x+3}}{5120}+\frac{677017 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5120 \sqrt{10}}","-\frac{3}{40} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^2-\frac{3 \sqrt{1-2 x} (5 x+3)^{3/2} (408 x+865)}{1280}-\frac{61547 \sqrt{1-2 x} \sqrt{5 x+3}}{5120}+\frac{677017 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5120 \sqrt{10}}",1,"(-61547*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/5120 - (3*Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(3/2))/40 - (3*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)*(865 + 408*x))/1280 + (677017*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(5120*Sqrt[10])","A",5,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2460,1,99,0,0.0236073,"\int \frac{(2+3 x)^2 \sqrt{3+5 x}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^2*Sqrt[3 + 5*x])/Sqrt[1 - 2*x],x]","-\frac{1}{10} \sqrt{1-2 x} (3 x+2) (5 x+3)^{3/2}-\frac{181}{400} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{6269 \sqrt{1-2 x} \sqrt{5 x+3}}{1600}+\frac{68959 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1600 \sqrt{10}}","-\frac{1}{10} \sqrt{1-2 x} (3 x+2) (5 x+3)^{3/2}-\frac{181}{400} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{6269 \sqrt{1-2 x} \sqrt{5 x+3}}{1600}+\frac{68959 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1600 \sqrt{10}}",1,"(-6269*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/1600 - (181*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/400 - (Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^(3/2))/10 + (68959*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1600*Sqrt[10])","A",5,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2461,1,72,0,0.0163254,"\int \frac{(2+3 x) \sqrt{3+5 x}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)*Sqrt[3 + 5*x])/Sqrt[1 - 2*x],x]","-\frac{3}{20} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{107}{80} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{1177 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{80 \sqrt{10}}","-\frac{3}{20} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{107}{80} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{1177 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{80 \sqrt{10}}",1,"(-107*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/80 - (3*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/20 + (1177*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(80*Sqrt[10])","A",4,4,24,0.1667,1,"{80, 50, 54, 216}"
2462,1,50,0,0.0095897,"\int \frac{\sqrt{3+5 x}}{\sqrt{1-2 x}} \, dx","Int[Sqrt[3 + 5*x]/Sqrt[1 - 2*x],x]","\frac{11 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2 \sqrt{10}}-\frac{1}{2} \sqrt{1-2 x} \sqrt{5 x+3}","\frac{11 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2 \sqrt{10}}-\frac{1}{2} \sqrt{1-2 x} \sqrt{5 x+3}",1,"-(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/2 + (11*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(2*Sqrt[10])","A",3,3,19,0.1579,1,"{50, 54, 216}"
2463,1,62,0,0.0215034,"\int \frac{\sqrt{3+5 x}}{\sqrt{1-2 x} (2+3 x)} \, dx","Int[Sqrt[3 + 5*x]/(Sqrt[1 - 2*x]*(2 + 3*x)),x]","\frac{1}{3} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{3 \sqrt{7}}","\frac{1}{3} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{3 \sqrt{7}}",1,"(Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/3 + (2*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(3*Sqrt[7])","A",5,5,26,0.1923,1,"{105, 54, 216, 93, 204}"
2464,1,64,0,0.0135404,"\int \frac{\sqrt{3+5 x}}{\sqrt{1-2 x} (2+3 x)^2} \, dx","Int[Sqrt[3 + 5*x]/(Sqrt[1 - 2*x]*(2 + 3*x)^2),x]","-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{7 (3 x+2)}-\frac{11 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}","-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{7 (3 x+2)}-\frac{11 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}",1,"-(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(7*(2 + 3*x)) - (11*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(7*Sqrt[7])","A",3,3,26,0.1154,1,"{94, 93, 204}"
2465,1,93,0,0.0202598,"\int \frac{\sqrt{3+5 x}}{\sqrt{1-2 x} (2+3 x)^3} \, dx","Int[Sqrt[3 + 5*x]/(Sqrt[1 - 2*x]*(2 + 3*x)^3),x]","\frac{3 \sqrt{1-2 x} (5 x+3)^{3/2}}{14 (3 x+2)^2}-\frac{41 \sqrt{1-2 x} \sqrt{5 x+3}}{196 (3 x+2)}-\frac{451 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{196 \sqrt{7}}","\frac{3 \sqrt{1-2 x} (5 x+3)^{3/2}}{14 (3 x+2)^2}-\frac{41 \sqrt{1-2 x} \sqrt{5 x+3}}{196 (3 x+2)}-\frac{451 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{196 \sqrt{7}}",1,"(-41*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(196*(2 + 3*x)) + (3*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(14*(2 + 3*x)^2) - (451*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(196*Sqrt[7])","A",4,4,26,0.1538,1,"{96, 94, 93, 204}"
2466,1,122,0,0.0389857,"\int \frac{\sqrt{3+5 x}}{\sqrt{1-2 x} (2+3 x)^4} \, dx","Int[Sqrt[3 + 5*x]/(Sqrt[1 - 2*x]*(2 + 3*x)^4),x]","\frac{3895 \sqrt{1-2 x} \sqrt{5 x+3}}{8232 (3 x+2)}+\frac{25 \sqrt{1-2 x} \sqrt{5 x+3}}{588 (3 x+2)^2}-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{21 (3 x+2)^3}-\frac{15235 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}","\frac{3895 \sqrt{1-2 x} \sqrt{5 x+3}}{8232 (3 x+2)}+\frac{25 \sqrt{1-2 x} \sqrt{5 x+3}}{588 (3 x+2)^2}-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{21 (3 x+2)^3}-\frac{15235 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}",1,"-(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(21*(2 + 3*x)^3) + (25*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(588*(2 + 3*x)^2) + (3895*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(8232*(2 + 3*x)) - (15235*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(2744*Sqrt[7])","A",6,5,26,0.1923,1,"{99, 151, 12, 93, 204}"
2467,1,151,0,0.0481571,"\int \frac{\sqrt{3+5 x}}{\sqrt{1-2 x} (2+3 x)^5} \, dx","Int[Sqrt[3 + 5*x]/(Sqrt[1 - 2*x]*(2 + 3*x)^5),x]","\frac{32735 \sqrt{1-2 x} \sqrt{5 x+3}}{21952 (3 x+2)}+\frac{305 \sqrt{1-2 x} \sqrt{5 x+3}}{1568 (3 x+2)^2}+\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{56 (3 x+2)^3}-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{28 (3 x+2)^4}-\frac{375265 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{21952 \sqrt{7}}","\frac{32735 \sqrt{1-2 x} \sqrt{5 x+3}}{21952 (3 x+2)}+\frac{305 \sqrt{1-2 x} \sqrt{5 x+3}}{1568 (3 x+2)^2}+\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{56 (3 x+2)^3}-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{28 (3 x+2)^4}-\frac{375265 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{21952 \sqrt{7}}",1,"-(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(28*(2 + 3*x)^4) + (Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(56*(2 + 3*x)^3) + (305*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1568*(2 + 3*x)^2) + (32735*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(21952*(2 + 3*x)) - (375265*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(21952*Sqrt[7])","A",7,5,26,0.1923,1,"{99, 151, 12, 93, 204}"
2468,1,128,0,0.0333134,"\int \frac{(2+3 x)^3 (3+5 x)^{3/2}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^(3/2))/Sqrt[1 - 2*x],x]","-\frac{3}{50} \sqrt{1-2 x} (3 x+2)^2 (5 x+3)^{5/2}-\frac{3 \sqrt{1-2 x} (3900 x+7889) (5 x+3)^{5/2}}{16000}-\frac{917953 \sqrt{1-2 x} (5 x+3)^{3/2}}{128000}-\frac{30292449 \sqrt{1-2 x} \sqrt{5 x+3}}{512000}+\frac{333216939 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{512000 \sqrt{10}}","-\frac{3}{50} \sqrt{1-2 x} (3 x+2)^2 (5 x+3)^{5/2}-\frac{3 \sqrt{1-2 x} (3900 x+7889) (5 x+3)^{5/2}}{16000}-\frac{917953 \sqrt{1-2 x} (5 x+3)^{3/2}}{128000}-\frac{30292449 \sqrt{1-2 x} \sqrt{5 x+3}}{512000}+\frac{333216939 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{512000 \sqrt{10}}",1,"(-30292449*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/512000 - (917953*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/128000 - (3*Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(5/2))/50 - (3*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)*(7889 + 3900*x))/16000 + (333216939*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(512000*Sqrt[10])","A",6,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2469,1,121,0,0.0294783,"\int \frac{(2+3 x)^2 (3+5 x)^{3/2}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^(3/2))/Sqrt[1 - 2*x],x]","-\frac{3}{40} \sqrt{1-2 x} (3 x+2) (5 x+3)^{5/2}-\frac{251}{800} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{14529 \sqrt{1-2 x} (5 x+3)^{3/2}}{6400}-\frac{479457 \sqrt{1-2 x} \sqrt{5 x+3}}{25600}+\frac{5274027 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{25600 \sqrt{10}}","-\frac{3}{40} \sqrt{1-2 x} (3 x+2) (5 x+3)^{5/2}-\frac{251}{800} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{14529 \sqrt{1-2 x} (5 x+3)^{3/2}}{6400}-\frac{479457 \sqrt{1-2 x} \sqrt{5 x+3}}{25600}+\frac{5274027 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{25600 \sqrt{10}}",1,"(-479457*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/25600 - (14529*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/6400 - (251*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/800 - (3*Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^(5/2))/40 + (5274027*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(25600*Sqrt[10])","A",6,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2470,1,94,0,0.0220849,"\int \frac{(2+3 x) (3+5 x)^{3/2}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)*(3 + 5*x)^(3/2))/Sqrt[1 - 2*x],x]","-\frac{1}{10} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{59}{80} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{1947}{320} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{21417 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{320 \sqrt{10}}","-\frac{1}{10} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{59}{80} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{1947}{320} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{21417 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{320 \sqrt{10}}",1,"(-1947*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/320 - (59*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/80 - (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/10 + (21417*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(320*Sqrt[10])","A",5,4,24,0.1667,1,"{80, 50, 54, 216}"
2471,1,72,0,0.0165265,"\int \frac{(3+5 x)^{3/2}}{\sqrt{1-2 x}} \, dx","Int[(3 + 5*x)^(3/2)/Sqrt[1 - 2*x],x]","-\frac{1}{4} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{33}{16} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{363 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{16 \sqrt{10}}","-\frac{1}{4} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{33}{16} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{363 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{16 \sqrt{10}}",1,"(-33*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/16 - (Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/4 + (363*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(16*Sqrt[10])","A",4,3,19,0.1579,1,"{50, 54, 216}"
2472,1,86,0,0.0294624,"\int \frac{(3+5 x)^{3/2}}{\sqrt{1-2 x} (2+3 x)} \, dx","Int[(3 + 5*x)^(3/2)/(Sqrt[1 - 2*x]*(2 + 3*x)),x]","-\frac{5}{6} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{29}{18} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{9 \sqrt{7}}","-\frac{5}{6} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{29}{18} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{9 \sqrt{7}}",1,"(-5*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/6 + (29*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/18 - (2*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(9*Sqrt[7])","A",6,6,26,0.2308,1,"{102, 157, 54, 216, 93, 204}"
2473,1,91,0,0.0297479,"\int \frac{(3+5 x)^{3/2}}{\sqrt{1-2 x} (2+3 x)^2} \, dx","Int[(3 + 5*x)^(3/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^2),x]","\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{21 (3 x+2)}+\frac{5}{9} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{103 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{63 \sqrt{7}}","\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{21 (3 x+2)}+\frac{5}{9} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{103 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{63 \sqrt{7}}",1,"(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(21*(2 + 3*x)) + (5*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/9 + (103*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(63*Sqrt[7])","A",6,6,26,0.2308,1,"{98, 157, 54, 216, 93, 204}"
2474,1,93,0,0.020884,"\int \frac{(3+5 x)^{3/2}}{\sqrt{1-2 x} (2+3 x)^3} \, dx","Int[(3 + 5*x)^(3/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^3),x]","-\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{14 (3 x+2)^2}-\frac{33 \sqrt{1-2 x} \sqrt{5 x+3}}{196 (3 x+2)}-\frac{363 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{196 \sqrt{7}}","-\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{14 (3 x+2)^2}-\frac{33 \sqrt{1-2 x} \sqrt{5 x+3}}{196 (3 x+2)}-\frac{363 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{196 \sqrt{7}}",1,"(-33*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(196*(2 + 3*x)) - (Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(14*(2 + 3*x)^2) - (363*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(196*Sqrt[7])","A",4,3,26,0.1154,1,"{94, 93, 204}"
2475,1,122,0,0.0284404,"\int \frac{(3+5 x)^{3/2}}{\sqrt{1-2 x} (2+3 x)^4} \, dx","Int[(3 + 5*x)^(3/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^4),x]","\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{7 (3 x+2)^3}-\frac{15 \sqrt{1-2 x} (5 x+3)^{3/2}}{196 (3 x+2)^2}-\frac{495 \sqrt{1-2 x} \sqrt{5 x+3}}{2744 (3 x+2)}-\frac{5445 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}","\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{7 (3 x+2)^3}-\frac{15 \sqrt{1-2 x} (5 x+3)^{3/2}}{196 (3 x+2)^2}-\frac{495 \sqrt{1-2 x} \sqrt{5 x+3}}{2744 (3 x+2)}-\frac{5445 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}",1,"(-495*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2744*(2 + 3*x)) - (15*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(196*(2 + 3*x)^2) + (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(7*(2 + 3*x)^3) - (5445*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(2744*Sqrt[7])","A",5,4,26,0.1538,1,"{96, 94, 93, 204}"
2476,1,151,0,0.0490276,"\int \frac{(3+5 x)^{3/2}}{\sqrt{1-2 x} (2+3 x)^5} \, dx","Int[(3 + 5*x)^(3/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^5),x]","\frac{57595 \sqrt{1-2 x} \sqrt{5 x+3}}{197568 (3 x+2)}+\frac{85 \sqrt{1-2 x} \sqrt{5 x+3}}{14112 (3 x+2)^2}-\frac{43 \sqrt{1-2 x} \sqrt{5 x+3}}{504 (3 x+2)^3}+\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{84 (3 x+2)^4}-\frac{78045 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{21952 \sqrt{7}}","\frac{57595 \sqrt{1-2 x} \sqrt{5 x+3}}{197568 (3 x+2)}+\frac{85 \sqrt{1-2 x} \sqrt{5 x+3}}{14112 (3 x+2)^2}-\frac{43 \sqrt{1-2 x} \sqrt{5 x+3}}{504 (3 x+2)^3}+\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{84 (3 x+2)^4}-\frac{78045 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{21952 \sqrt{7}}",1,"(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(84*(2 + 3*x)^4) - (43*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(504*(2 + 3*x)^3) + (85*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(14112*(2 + 3*x)^2) + (57595*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(197568*(2 + 3*x)) - (78045*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(21952*Sqrt[7])","A",7,5,26,0.1923,1,"{98, 151, 12, 93, 204}"
2477,1,180,0,0.0617117,"\int \frac{(3+5 x)^{3/2}}{\sqrt{1-2 x} (2+3 x)^6} \, dx","Int[(3 + 5*x)^(3/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^6),x]","\frac{694229 \sqrt{1-2 x} \sqrt{5 x+3}}{921984 (3 x+2)}+\frac{6107 \sqrt{1-2 x} \sqrt{5 x+3}}{65856 (3 x+2)^2}-\frac{73 \sqrt{1-2 x} \sqrt{5 x+3}}{11760 (3 x+2)^3}-\frac{367 \sqrt{1-2 x} \sqrt{5 x+3}}{5880 (3 x+2)^4}+\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{105 (3 x+2)^5}-\frac{2664057 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{307328 \sqrt{7}}","\frac{694229 \sqrt{1-2 x} \sqrt{5 x+3}}{921984 (3 x+2)}+\frac{6107 \sqrt{1-2 x} \sqrt{5 x+3}}{65856 (3 x+2)^2}-\frac{73 \sqrt{1-2 x} \sqrt{5 x+3}}{11760 (3 x+2)^3}-\frac{367 \sqrt{1-2 x} \sqrt{5 x+3}}{5880 (3 x+2)^4}+\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{105 (3 x+2)^5}-\frac{2664057 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{307328 \sqrt{7}}",1,"(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(105*(2 + 3*x)^5) - (367*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(5880*(2 + 3*x)^4) - (73*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(11760*(2 + 3*x)^3) + (6107*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(65856*(2 + 3*x)^2) + (694229*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(921984*(2 + 3*x)) - (2664057*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(307328*Sqrt[7])","A",8,5,26,0.1923,1,"{98, 151, 12, 93, 204}"
2478,1,150,0,0.0435996,"\int \frac{(2+3 x)^3 (3+5 x)^{5/2}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^(5/2))/Sqrt[1 - 2*x],x]","-\frac{1}{20} \sqrt{1-2 x} (3 x+2)^2 (5 x+3)^{7/2}-\frac{\sqrt{1-2 x} (18960 x+37439) (5 x+3)^{7/2}}{32000}-\frac{2012291 \sqrt{1-2 x} (5 x+3)^{5/2}}{384000}-\frac{22135201 \sqrt{1-2 x} (5 x+3)^{3/2}}{614400}-\frac{243487211 \sqrt{1-2 x} \sqrt{5 x+3}}{819200}+\frac{2678359321 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{819200 \sqrt{10}}","-\frac{1}{20} \sqrt{1-2 x} (3 x+2)^2 (5 x+3)^{7/2}-\frac{\sqrt{1-2 x} (18960 x+37439) (5 x+3)^{7/2}}{32000}-\frac{2012291 \sqrt{1-2 x} (5 x+3)^{5/2}}{384000}-\frac{22135201 \sqrt{1-2 x} (5 x+3)^{3/2}}{614400}-\frac{243487211 \sqrt{1-2 x} \sqrt{5 x+3}}{819200}+\frac{2678359321 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{819200 \sqrt{10}}",1,"(-243487211*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/819200 - (22135201*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/614400 - (2012291*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/384000 - (Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(7/2))/20 - (Sqrt[1 - 2*x]*(3 + 5*x)^(7/2)*(37439 + 18960*x))/32000 + (2678359321*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(819200*Sqrt[10])","A",7,5,26,0.1923,1,"{100, 147, 50, 54, 216}"
2479,1,143,0,0.0398347,"\int \frac{(2+3 x)^2 (3+5 x)^{5/2}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^(5/2))/Sqrt[1 - 2*x],x]","-\frac{3}{50} \sqrt{1-2 x} (3 x+2) (5 x+3)^{7/2}-\frac{963 \sqrt{1-2 x} (5 x+3)^{7/2}}{4000}-\frac{78167 \sqrt{1-2 x} (5 x+3)^{5/2}}{48000}-\frac{859837 \sqrt{1-2 x} (5 x+3)^{3/2}}{76800}-\frac{9458207 \sqrt{1-2 x} \sqrt{5 x+3}}{102400}+\frac{104040277 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{102400 \sqrt{10}}","-\frac{3}{50} \sqrt{1-2 x} (3 x+2) (5 x+3)^{7/2}-\frac{963 \sqrt{1-2 x} (5 x+3)^{7/2}}{4000}-\frac{78167 \sqrt{1-2 x} (5 x+3)^{5/2}}{48000}-\frac{859837 \sqrt{1-2 x} (5 x+3)^{3/2}}{76800}-\frac{9458207 \sqrt{1-2 x} \sqrt{5 x+3}}{102400}+\frac{104040277 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{102400 \sqrt{10}}",1,"(-9458207*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/102400 - (859837*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/76800 - (78167*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/48000 - (963*Sqrt[1 - 2*x]*(3 + 5*x)^(7/2))/4000 - (3*Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^(7/2))/50 + (104040277*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(102400*Sqrt[10])","A",7,5,26,0.1923,1,"{90, 80, 50, 54, 216}"
2480,1,116,0,0.0282242,"\int \frac{(2+3 x) (3+5 x)^{5/2}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)*(3 + 5*x)^(5/2))/Sqrt[1 - 2*x],x]","-\frac{3}{40} \sqrt{1-2 x} (5 x+3)^{7/2}-\frac{247}{480} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{2717}{768} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{29887 \sqrt{1-2 x} \sqrt{5 x+3}}{1024}+\frac{328757 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1024 \sqrt{10}}","-\frac{3}{40} \sqrt{1-2 x} (5 x+3)^{7/2}-\frac{247}{480} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{2717}{768} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{29887 \sqrt{1-2 x} \sqrt{5 x+3}}{1024}+\frac{328757 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1024 \sqrt{10}}",1,"(-29887*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/1024 - (2717*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/768 - (247*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/480 - (3*Sqrt[1 - 2*x]*(3 + 5*x)^(7/2))/40 + (328757*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1024*Sqrt[10])","A",6,4,24,0.1667,1,"{80, 50, 54, 216}"
2481,1,96,0,0.0214017,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x}} \, dx","Int[(3 + 5*x)^(5/2)/Sqrt[1 - 2*x],x]","-\frac{1}{6} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{55}{48} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{605}{64} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{1331}{64} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","-\frac{1}{6} \sqrt{1-2 x} (5 x+3)^{5/2}-\frac{55}{48} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{605}{64} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{1331}{64} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(-605*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/64 - (55*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/48 - (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/6 + (1331*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/64","A",5,3,19,0.1579,1,"{50, 54, 216}"
2482,1,108,0,0.0414162,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x} (2+3 x)} \, dx","Int[(3 + 5*x)^(5/2)/(Sqrt[1 - 2*x]*(2 + 3*x)),x]","-\frac{5}{12} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{455}{144} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{3035}{432} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{27 \sqrt{7}}","-\frac{5}{12} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{455}{144} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{3035}{432} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{27 \sqrt{7}}",1,"(-455*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/144 - (5*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/12 + (3035*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/432 + (2*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(27*Sqrt[7])","A",7,7,26,0.2692,1,"{102, 154, 157, 54, 216, 93, 204}"
2483,1,115,0,0.0416468,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x} (2+3 x)^2} \, dx","Int[(3 + 5*x)^(5/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^2),x]","\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{21 (3 x+2)}-\frac{185}{126} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{125}{54} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{173 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{189 \sqrt{7}}","\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{21 (3 x+2)}-\frac{185}{126} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{125}{54} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{173 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{189 \sqrt{7}}",1,"(-185*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/126 + (Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(21*(2 + 3*x)) + (125*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/54 - (173*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(189*Sqrt[7])","A",7,7,26,0.2692,1,"{98, 154, 157, 54, 216, 93, 204}"
2484,1,120,0,0.0426488,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x} (2+3 x)^3} \, dx","Int[(3 + 5*x)^(5/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^3),x]","\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{42 (3 x+2)^2}+\frac{239 \sqrt{1-2 x} \sqrt{5 x+3}}{1764 (3 x+2)}+\frac{25}{27} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{17687 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{5292 \sqrt{7}}","\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{42 (3 x+2)^2}+\frac{239 \sqrt{1-2 x} \sqrt{5 x+3}}{1764 (3 x+2)}+\frac{25}{27} \sqrt{10} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{17687 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{5292 \sqrt{7}}",1,"(239*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1764*(2 + 3*x)) + (Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(42*(2 + 3*x)^2) + (25*Sqrt[10]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/27 + (17687*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(5292*Sqrt[7])","A",7,7,26,0.2692,1,"{98, 149, 157, 54, 216, 93, 204}"
2485,1,122,0,0.0325912,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x} (2+3 x)^4} \, dx","Int[(3 + 5*x)^(5/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^4),x]","-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{21 (3 x+2)^3}-\frac{55 \sqrt{1-2 x} (5 x+3)^{3/2}}{588 (3 x+2)^2}-\frac{605 \sqrt{1-2 x} \sqrt{5 x+3}}{2744 (3 x+2)}-\frac{6655 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}","-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{21 (3 x+2)^3}-\frac{55 \sqrt{1-2 x} (5 x+3)^{3/2}}{588 (3 x+2)^2}-\frac{605 \sqrt{1-2 x} \sqrt{5 x+3}}{2744 (3 x+2)}-\frac{6655 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}",1,"(-605*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2744*(2 + 3*x)) - (55*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(588*(2 + 3*x)^2) - (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(21*(2 + 3*x)^3) - (6655*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(2744*Sqrt[7])","A",5,3,26,0.1154,1,"{94, 93, 204}"
2486,1,151,0,0.0412071,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x} (2+3 x)^5} \, dx","Int[(3 + 5*x)^(5/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^5),x]","\frac{3 \sqrt{1-2 x} (5 x+3)^{7/2}}{28 (3 x+2)^4}-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{24 (3 x+2)^3}-\frac{55 \sqrt{1-2 x} (5 x+3)^{3/2}}{672 (3 x+2)^2}-\frac{605 \sqrt{1-2 x} \sqrt{5 x+3}}{3136 (3 x+2)}-\frac{6655 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{3136 \sqrt{7}}","\frac{3 \sqrt{1-2 x} (5 x+3)^{7/2}}{28 (3 x+2)^4}-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{24 (3 x+2)^3}-\frac{55 \sqrt{1-2 x} (5 x+3)^{3/2}}{672 (3 x+2)^2}-\frac{605 \sqrt{1-2 x} \sqrt{5 x+3}}{3136 (3 x+2)}-\frac{6655 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{3136 \sqrt{7}}",1,"(-605*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3136*(2 + 3*x)) - (55*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(672*(2 + 3*x)^2) - (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(24*(2 + 3*x)^3) + (3*Sqrt[1 - 2*x]*(3 + 5*x)^(7/2))/(28*(2 + 3*x)^4) - (6655*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(3136*Sqrt[7])","A",6,4,26,0.1538,1,"{96, 94, 93, 204}"
2487,1,180,0,0.0637625,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x} (2+3 x)^6} \, dx","Int[(3 + 5*x)^(5/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^6),x]","\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{105 (3 x+2)^5}+\frac{1948963 \sqrt{1-2 x} \sqrt{5 x+3}}{8297856 (3 x+2)}-\frac{12371 \sqrt{1-2 x} \sqrt{5 x+3}}{592704 (3 x+2)^2}-\frac{14831 \sqrt{1-2 x} \sqrt{5 x+3}}{105840 (3 x+2)^3}+\frac{437 \sqrt{1-2 x} \sqrt{5 x+3}}{17640 (3 x+2)^4}-\frac{933031 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{307328 \sqrt{7}}","\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{105 (3 x+2)^5}+\frac{1948963 \sqrt{1-2 x} \sqrt{5 x+3}}{8297856 (3 x+2)}-\frac{12371 \sqrt{1-2 x} \sqrt{5 x+3}}{592704 (3 x+2)^2}-\frac{14831 \sqrt{1-2 x} \sqrt{5 x+3}}{105840 (3 x+2)^3}+\frac{437 \sqrt{1-2 x} \sqrt{5 x+3}}{17640 (3 x+2)^4}-\frac{933031 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{307328 \sqrt{7}}",1,"(437*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(17640*(2 + 3*x)^4) - (14831*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(105840*(2 + 3*x)^3) - (12371*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(592704*(2 + 3*x)^2) + (1948963*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(8297856*(2 + 3*x)) + (Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(105*(2 + 3*x)^5) - (933031*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(307328*Sqrt[7])","A",8,6,26,0.2308,1,"{98, 149, 151, 12, 93, 204}"
2488,1,209,0,0.0810345,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x} (2+3 x)^7} \, dx","Int[(3 + 5*x)^(5/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^7),x]","\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{126 (3 x+2)^6}+\frac{122343637 \sqrt{1-2 x} \sqrt{5 x+3}}{232339968 (3 x+2)}+\frac{958171 \sqrt{1-2 x} \sqrt{5 x+3}}{16595712 (3 x+2)^2}-\frac{71369 \sqrt{1-2 x} \sqrt{5 x+3}}{2963520 (3 x+2)^3}-\frac{149951 \sqrt{1-2 x} \sqrt{5 x+3}}{1481760 (3 x+2)^4}+\frac{503 \sqrt{1-2 x} \sqrt{5 x+3}}{26460 (3 x+2)^5}-\frac{52573169 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{8605184 \sqrt{7}}","\frac{\sqrt{1-2 x} (5 x+3)^{3/2}}{126 (3 x+2)^6}+\frac{122343637 \sqrt{1-2 x} \sqrt{5 x+3}}{232339968 (3 x+2)}+\frac{958171 \sqrt{1-2 x} \sqrt{5 x+3}}{16595712 (3 x+2)^2}-\frac{71369 \sqrt{1-2 x} \sqrt{5 x+3}}{2963520 (3 x+2)^3}-\frac{149951 \sqrt{1-2 x} \sqrt{5 x+3}}{1481760 (3 x+2)^4}+\frac{503 \sqrt{1-2 x} \sqrt{5 x+3}}{26460 (3 x+2)^5}-\frac{52573169 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{8605184 \sqrt{7}}",1,"(503*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(26460*(2 + 3*x)^5) - (149951*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1481760*(2 + 3*x)^4) - (71369*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2963520*(2 + 3*x)^3) + (958171*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(16595712*(2 + 3*x)^2) + (122343637*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(232339968*(2 + 3*x)) + (Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(126*(2 + 3*x)^6) - (52573169*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(8605184*Sqrt[7])","A",9,6,26,0.2308,1,"{98, 149, 151, 12, 93, 204}"
2489,1,113,0,0.0312711,"\int \frac{(2+3 x)^4}{\sqrt{1-2 x} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^4/(Sqrt[1 - 2*x]*Sqrt[3 + 5*x]),x]","-\frac{3}{40} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^3-\frac{259}{800} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2-\frac{7 \sqrt{1-2 x} \sqrt{5 x+3} (77820 x+187559)}{128000}+\frac{10866247 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{128000 \sqrt{10}}","-\frac{3}{40} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^3-\frac{259}{800} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2-\frac{7 \sqrt{1-2 x} \sqrt{5 x+3} (77820 x+187559)}{128000}+\frac{10866247 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{128000 \sqrt{10}}",1,"(-259*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/800 - (3*Sqrt[1 - 2*x]*(2 + 3*x)^3*Sqrt[3 + 5*x])/40 - (7*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(187559 + 77820*x))/128000 + (10866247*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(128000*Sqrt[10])","A",5,5,26,0.1923,1,"{100, 153, 147, 54, 216}"
2490,1,84,0,0.0207372,"\int \frac{(2+3 x)^3}{\sqrt{1-2 x} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^3/(Sqrt[1 - 2*x]*Sqrt[3 + 5*x]),x]","-\frac{1}{10} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2-\frac{\sqrt{1-2 x} \sqrt{5 x+3} (2220 x+5363)}{1600}+\frac{44437 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1600 \sqrt{10}}","-\frac{1}{10} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2-\frac{\sqrt{1-2 x} \sqrt{5 x+3} (2220 x+5363)}{1600}+\frac{44437 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1600 \sqrt{10}}",1,"-(Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/10 - (Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(5363 + 2220*x))/1600 + (44437*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1600*Sqrt[10])","A",4,4,26,0.1538,1,"{100, 147, 54, 216}"
2491,1,77,0,0.0176384,"\int \frac{(2+3 x)^2}{\sqrt{1-2 x} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^2/(Sqrt[1 - 2*x]*Sqrt[3 + 5*x]),x]","-\frac{3}{20} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)-\frac{333}{400} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{3827 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{400 \sqrt{10}}","-\frac{3}{20} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)-\frac{333}{400} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{3827 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{400 \sqrt{10}}",1,"(-333*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/400 - (3*Sqrt[1 - 2*x]*(2 + 3*x)*Sqrt[3 + 5*x])/20 + (3827*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(400*Sqrt[10])","A",4,4,26,0.1538,1,"{90, 80, 54, 216}"
2492,1,50,0,0.0101219,"\int \frac{2+3 x}{\sqrt{1-2 x} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)/(Sqrt[1 - 2*x]*Sqrt[3 + 5*x]),x]","\frac{37 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{10 \sqrt{10}}-\frac{3}{10} \sqrt{1-2 x} \sqrt{5 x+3}","\frac{37 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{10 \sqrt{10}}-\frac{3}{10} \sqrt{1-2 x} \sqrt{5 x+3}",1,"(-3*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/10 + (37*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(10*Sqrt[10])","A",3,3,24,0.1250,1,"{80, 54, 216}"
2493,1,26,0,0.0062297,"\int \frac{1}{\sqrt{1-2 x} \sqrt{3+5 x}} \, dx","Int[1/(Sqrt[1 - 2*x]*Sqrt[3 + 5*x]),x]","\sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","\sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]]","A",2,2,19,0.1053,1,"{54, 216}"
2494,1,32,0,0.0078924,"\int \frac{1}{\sqrt{1-2 x} (2+3 x) \sqrt{3+5 x}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)*Sqrt[3 + 5*x]),x]","-\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{\sqrt{7}}","-\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{\sqrt{7}}",1,"(-2*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/Sqrt[7]","A",2,2,26,0.07692,1,"{93, 204}"
2495,1,64,0,0.0129507,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^2 \sqrt{3+5 x}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x]),x]","\frac{3 \sqrt{1-2 x} \sqrt{5 x+3}}{7 (3 x+2)}-\frac{37 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}","\frac{3 \sqrt{1-2 x} \sqrt{5 x+3}}{7 (3 x+2)}-\frac{37 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}",1,"(3*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(7*(2 + 3*x)) - (37*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(7*Sqrt[7])","A",3,3,26,0.1154,1,"{96, 93, 204}"
2496,1,93,0,0.0257485,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^3 \sqrt{3+5 x}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^3*Sqrt[3 + 5*x]),x]","\frac{333 \sqrt{1-2 x} \sqrt{5 x+3}}{196 (3 x+2)}+\frac{3 \sqrt{1-2 x} \sqrt{5 x+3}}{14 (3 x+2)^2}-\frac{3827 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{196 \sqrt{7}}","\frac{333 \sqrt{1-2 x} \sqrt{5 x+3}}{196 (3 x+2)}+\frac{3 \sqrt{1-2 x} \sqrt{5 x+3}}{14 (3 x+2)^2}-\frac{3827 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{196 \sqrt{7}}",1,"(3*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(14*(2 + 3*x)^2) + (333*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(196*(2 + 3*x)) - (3827*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(196*Sqrt[7])","A",5,5,26,0.1923,1,"{103, 151, 12, 93, 204}"
2497,1,122,0,0.037073,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^4 \sqrt{3+5 x}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^4*Sqrt[3 + 5*x]),x]","\frac{19415 \sqrt{1-2 x} \sqrt{5 x+3}}{2744 (3 x+2)}+\frac{185 \sqrt{1-2 x} \sqrt{5 x+3}}{196 (3 x+2)^2}+\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{7 (3 x+2)^3}-\frac{222185 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}","\frac{19415 \sqrt{1-2 x} \sqrt{5 x+3}}{2744 (3 x+2)}+\frac{185 \sqrt{1-2 x} \sqrt{5 x+3}}{196 (3 x+2)^2}+\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{7 (3 x+2)^3}-\frac{222185 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}",1,"(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(7*(2 + 3*x)^3) + (185*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(196*(2 + 3*x)^2) + (19415*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2744*(2 + 3*x)) - (222185*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(2744*Sqrt[7])","A",6,5,26,0.1923,1,"{103, 151, 12, 93, 204}"
2498,1,113,0,0.0322779,"\int \frac{(2+3 x)^4}{\sqrt{1-2 x} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^4/(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^3}{55 \sqrt{5 x+3}}-\frac{21}{550} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2-\frac{21 \sqrt{1-2 x} \sqrt{5 x+3} (3660 x+8987)}{88000}+\frac{143283 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{8000 \sqrt{10}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^3}{55 \sqrt{5 x+3}}-\frac{21}{550} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2-\frac{21 \sqrt{1-2 x} \sqrt{5 x+3} (3660 x+8987)}{88000}+\frac{143283 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{8000 \sqrt{10}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(55*Sqrt[3 + 5*x]) - (21*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/550 - (21*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(8987 + 3660*x))/88000 + (143283*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(8000*Sqrt[10])","A",5,5,26,0.1923,1,"{98, 153, 147, 54, 216}"
2499,1,84,0,0.019888,"\int \frac{(2+3 x)^3}{\sqrt{1-2 x} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^3/(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^2}{55 \sqrt{5 x+3}}-\frac{3 \sqrt{1-2 x} \sqrt{5 x+3} (300 x+979)}{4400}+\frac{2493 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{400 \sqrt{10}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^2}{55 \sqrt{5 x+3}}-\frac{3 \sqrt{1-2 x} \sqrt{5 x+3} (300 x+979)}{4400}+\frac{2493 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{400 \sqrt{10}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(55*Sqrt[3 + 5*x]) - (3*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(979 + 300*x))/4400 + (2493*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(400*Sqrt[10])","A",4,4,26,0.1538,1,"{98, 147, 54, 216}"
2500,1,72,0,0.016797,"\int \frac{(2+3 x)^2}{\sqrt{1-2 x} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^2/(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)),x]","-\frac{9}{50} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{2 \sqrt{1-2 x}}{275 \sqrt{5 x+3}}+\frac{123 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{50 \sqrt{10}}","-\frac{9}{50} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{2 \sqrt{1-2 x}}{275 \sqrt{5 x+3}}+\frac{123 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{50 \sqrt{10}}",1,"(-2*Sqrt[1 - 2*x])/(275*Sqrt[3 + 5*x]) - (9*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/50 + (123*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(50*Sqrt[10])","A",4,4,26,0.1538,1,"{89, 80, 54, 216}"
2501,1,52,0,0.0103922,"\int \frac{2+3 x}{\sqrt{1-2 x} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)/(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)),x]","\frac{3}{5} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{2 \sqrt{1-2 x}}{55 \sqrt{5 x+3}}","\frac{3}{5} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{2 \sqrt{1-2 x}}{55 \sqrt{5 x+3}}",1,"(-2*Sqrt[1 - 2*x])/(55*Sqrt[3 + 5*x]) + (3*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/5","A",3,3,24,0.1250,1,"{78, 54, 216}"
2502,1,22,0,0.0018495,"\int \frac{1}{\sqrt{1-2 x} (3+5 x)^{3/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)),x]","-\frac{2 \sqrt{1-2 x}}{11 \sqrt{5 x+3}}","-\frac{2 \sqrt{1-2 x}}{11 \sqrt{5 x+3}}",1,"(-2*Sqrt[1 - 2*x])/(11*Sqrt[3 + 5*x])","A",1,1,19,0.05263,1,"{37}"
2503,1,55,0,0.0131668,"\int \frac{1}{\sqrt{1-2 x} (2+3 x) (3+5 x)^{3/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^(3/2)),x]","\frac{6 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{\sqrt{7}}-\frac{10 \sqrt{1-2 x}}{11 \sqrt{5 x+3}}","\frac{6 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{\sqrt{7}}-\frac{10 \sqrt{1-2 x}}{11 \sqrt{5 x+3}}",1,"(-10*Sqrt[1 - 2*x])/(11*Sqrt[3 + 5*x]) + (6*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/Sqrt[7]","A",3,3,26,0.1154,1,"{96, 93, 204}"
2504,1,86,0,0.0269292,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^2 (3+5 x)^{3/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(3/2)),x]","-\frac{515 \sqrt{1-2 x}}{77 \sqrt{5 x+3}}+\frac{3 \sqrt{1-2 x}}{7 (3 x+2) \sqrt{5 x+3}}+\frac{321 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}","-\frac{515 \sqrt{1-2 x}}{77 \sqrt{5 x+3}}+\frac{3 \sqrt{1-2 x}}{7 (3 x+2) \sqrt{5 x+3}}+\frac{321 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}",1,"(-515*Sqrt[1 - 2*x])/(77*Sqrt[3 + 5*x]) + (3*Sqrt[1 - 2*x])/(7*(2 + 3*x)*Sqrt[3 + 5*x]) + (321*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(7*Sqrt[7])","A",5,5,26,0.1923,1,"{103, 152, 12, 93, 204}"
2505,1,115,0,0.036646,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^3 (3+5 x)^{3/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^3*(3 + 5*x)^(3/2)),x]","-\frac{90415 \sqrt{1-2 x}}{2156 \sqrt{5 x+3}}+\frac{543 \sqrt{1-2 x}}{196 (3 x+2) \sqrt{5 x+3}}+\frac{3 \sqrt{1-2 x}}{14 (3 x+2)^2 \sqrt{5 x+3}}+\frac{56421 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{196 \sqrt{7}}","-\frac{90415 \sqrt{1-2 x}}{2156 \sqrt{5 x+3}}+\frac{543 \sqrt{1-2 x}}{196 (3 x+2) \sqrt{5 x+3}}+\frac{3 \sqrt{1-2 x}}{14 (3 x+2)^2 \sqrt{5 x+3}}+\frac{56421 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{196 \sqrt{7}}",1,"(-90415*Sqrt[1 - 2*x])/(2156*Sqrt[3 + 5*x]) + (3*Sqrt[1 - 2*x])/(14*(2 + 3*x)^2*Sqrt[3 + 5*x]) + (543*Sqrt[1 - 2*x])/(196*(2 + 3*x)*Sqrt[3 + 5*x]) + (56421*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(196*Sqrt[7])","A",6,6,26,0.2308,1,"{103, 151, 152, 12, 93, 204}"
2506,1,144,0,0.0480451,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^4 (3+5 x)^{3/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^4*(3 + 5*x)^(3/2)),x]","-\frac{7396875 \sqrt{1-2 x}}{30184 \sqrt{5 x+3}}+\frac{44475 \sqrt{1-2 x}}{2744 (3 x+2) \sqrt{5 x+3}}+\frac{255 \sqrt{1-2 x}}{196 (3 x+2)^2 \sqrt{5 x+3}}+\frac{\sqrt{1-2 x}}{7 (3 x+2)^3 \sqrt{5 x+3}}+\frac{4616025 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}","-\frac{7396875 \sqrt{1-2 x}}{30184 \sqrt{5 x+3}}+\frac{44475 \sqrt{1-2 x}}{2744 (3 x+2) \sqrt{5 x+3}}+\frac{255 \sqrt{1-2 x}}{196 (3 x+2)^2 \sqrt{5 x+3}}+\frac{\sqrt{1-2 x}}{7 (3 x+2)^3 \sqrt{5 x+3}}+\frac{4616025 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}",1,"(-7396875*Sqrt[1 - 2*x])/(30184*Sqrt[3 + 5*x]) + Sqrt[1 - 2*x]/(7*(2 + 3*x)^3*Sqrt[3 + 5*x]) + (255*Sqrt[1 - 2*x])/(196*(2 + 3*x)^2*Sqrt[3 + 5*x]) + (44475*Sqrt[1 - 2*x])/(2744*(2 + 3*x)*Sqrt[3 + 5*x]) + (4616025*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(2744*Sqrt[7])","A",7,6,26,0.2308,1,"{103, 151, 152, 12, 93, 204}"
2507,1,142,0,0.0432441,"\int \frac{(2+3 x)^5}{\sqrt{1-2 x} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^5/(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^4}{165 (5 x+3)^{3/2}}-\frac{734 \sqrt{1-2 x} (3 x+2)^3}{9075 \sqrt{5 x+3}}+\frac{511 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2}{30250}-\frac{7 \sqrt{1-2 x} \sqrt{5 x+3} (366420 x+938509)}{4840000}+\frac{462357 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{40000 \sqrt{10}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^4}{165 (5 x+3)^{3/2}}-\frac{734 \sqrt{1-2 x} (3 x+2)^3}{9075 \sqrt{5 x+3}}+\frac{511 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2}{30250}-\frac{7 \sqrt{1-2 x} \sqrt{5 x+3} (366420 x+938509)}{4840000}+\frac{462357 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{40000 \sqrt{10}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^4)/(165*(3 + 5*x)^(3/2)) - (734*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(9075*Sqrt[3 + 5*x]) + (511*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/30250 - (7*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(938509 + 366420*x))/4840000 + (462357*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(40000*Sqrt[10])","A",6,6,26,0.2308,1,"{98, 150, 153, 147, 54, 216}"
2508,1,113,0,0.0324747,"\int \frac{(2+3 x)^4}{\sqrt{1-2 x} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^4/(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^3}{165 (5 x+3)^{3/2}}-\frac{602 \sqrt{1-2 x} (3 x+2)^2}{9075 \sqrt{5 x+3}}-\frac{7 \sqrt{1-2 x} \sqrt{5 x+3} (1020 x+12199)}{242000}+\frac{8127 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2000 \sqrt{10}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^3}{165 (5 x+3)^{3/2}}-\frac{602 \sqrt{1-2 x} (3 x+2)^2}{9075 \sqrt{5 x+3}}-\frac{7 \sqrt{1-2 x} \sqrt{5 x+3} (1020 x+12199)}{242000}+\frac{8127 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2000 \sqrt{10}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(165*(3 + 5*x)^(3/2)) - (602*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(9075*Sqrt[3 + 5*x]) - (7*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(12199 + 1020*x))/242000 + (8127*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(2000*Sqrt[10])","A",5,5,26,0.1923,1,"{98, 150, 147, 54, 216}"
2509,1,84,0,0.0191753,"\int \frac{(2+3 x)^3}{\sqrt{1-2 x} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^3/(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^2}{165 (5 x+3)^{3/2}}-\frac{\sqrt{1-2 x} (9405 x+5831)}{18150 \sqrt{5 x+3}}+\frac{81 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{50 \sqrt{10}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^2}{165 (5 x+3)^{3/2}}-\frac{\sqrt{1-2 x} (9405 x+5831)}{18150 \sqrt{5 x+3}}+\frac{81 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{50 \sqrt{10}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(165*(3 + 5*x)^(3/2)) - (Sqrt[1 - 2*x]*(5831 + 9405*x))/(18150*Sqrt[3 + 5*x]) + (81*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(50*Sqrt[10])","A",4,4,26,0.1538,1,"{98, 143, 54, 216}"
2510,1,74,0,0.017441,"\int \frac{(2+3 x)^2}{\sqrt{1-2 x} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^2/(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)),x]","-\frac{404 \sqrt{1-2 x}}{9075 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x}}{825 (5 x+3)^{3/2}}+\frac{9}{25} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","-\frac{404 \sqrt{1-2 x}}{9075 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x}}{825 (5 x+3)^{3/2}}+\frac{9}{25} \sqrt{\frac{2}{5}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(-2*Sqrt[1 - 2*x])/(825*(3 + 5*x)^(3/2)) - (404*Sqrt[1 - 2*x])/(9075*Sqrt[3 + 5*x]) + (9*Sqrt[2/5]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/25","A",4,4,26,0.1538,1,"{89, 78, 54, 216}"
2511,1,45,0,0.0056482,"\int \frac{2+3 x}{\sqrt{1-2 x} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)/(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)),x]","-\frac{206 \sqrt{1-2 x}}{1815 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x}}{165 (5 x+3)^{3/2}}","-\frac{206 \sqrt{1-2 x}}{1815 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x}}{165 (5 x+3)^{3/2}}",1,"(-2*Sqrt[1 - 2*x])/(165*(3 + 5*x)^(3/2)) - (206*Sqrt[1 - 2*x])/(1815*Sqrt[3 + 5*x])","A",2,2,24,0.08333,1,"{78, 37}"
2512,1,45,0,0.0050273,"\int \frac{1}{\sqrt{1-2 x} (3+5 x)^{5/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)),x]","-\frac{8 \sqrt{1-2 x}}{363 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x}}{33 (5 x+3)^{3/2}}","-\frac{8 \sqrt{1-2 x}}{363 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x}}{33 (5 x+3)^{3/2}}",1,"(-2*Sqrt[1 - 2*x])/(33*(3 + 5*x)^(3/2)) - (8*Sqrt[1 - 2*x])/(363*Sqrt[3 + 5*x])","A",2,2,19,0.1053,1,"{45, 37}"
2513,1,77,0,0.026939,"\int \frac{1}{\sqrt{1-2 x} (2+3 x) (3+5 x)^{5/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^(5/2)),x]","\frac{950 \sqrt{1-2 x}}{363 \sqrt{5 x+3}}-\frac{10 \sqrt{1-2 x}}{33 (5 x+3)^{3/2}}-\frac{18 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{\sqrt{7}}","\frac{950 \sqrt{1-2 x}}{363 \sqrt{5 x+3}}-\frac{10 \sqrt{1-2 x}}{33 (5 x+3)^{3/2}}-\frac{18 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{\sqrt{7}}",1,"(-10*Sqrt[1 - 2*x])/(33*(3 + 5*x)^(3/2)) + (950*Sqrt[1 - 2*x])/(363*Sqrt[3 + 5*x]) - (18*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/Sqrt[7]","A",5,5,26,0.1923,1,"{104, 152, 12, 93, 204}"
2514,1,108,0,0.0364278,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^2 (3+5 x)^{5/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(5/2)),x]","\frac{84235 \sqrt{1-2 x}}{2541 \sqrt{5 x+3}}-\frac{845 \sqrt{1-2 x}}{231 (5 x+3)^{3/2}}+\frac{3 \sqrt{1-2 x}}{7 (3 x+2) (5 x+3)^{3/2}}-\frac{1593 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}","\frac{84235 \sqrt{1-2 x}}{2541 \sqrt{5 x+3}}-\frac{845 \sqrt{1-2 x}}{231 (5 x+3)^{3/2}}+\frac{3 \sqrt{1-2 x}}{7 (3 x+2) (5 x+3)^{3/2}}-\frac{1593 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}",1,"(-845*Sqrt[1 - 2*x])/(231*(3 + 5*x)^(3/2)) + (3*Sqrt[1 - 2*x])/(7*(2 + 3*x)*(3 + 5*x)^(3/2)) + (84235*Sqrt[1 - 2*x])/(2541*Sqrt[3 + 5*x]) - (1593*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(7*Sqrt[7])","A",6,5,26,0.1923,1,"{103, 152, 12, 93, 204}"
2515,1,137,0,0.044746,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^3 (3+5 x)^{5/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^3*(3 + 5*x)^(5/2)),x]","\frac{20743985 \sqrt{1-2 x}}{71148 \sqrt{5 x+3}}-\frac{207895 \sqrt{1-2 x}}{6468 (5 x+3)^{3/2}}+\frac{753 \sqrt{1-2 x}}{196 (3 x+2) (5 x+3)^{3/2}}+\frac{3 \sqrt{1-2 x}}{14 (3 x+2)^2 (5 x+3)^{3/2}}-\frac{392283 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{196 \sqrt{7}}","\frac{20743985 \sqrt{1-2 x}}{71148 \sqrt{5 x+3}}-\frac{207895 \sqrt{1-2 x}}{6468 (5 x+3)^{3/2}}+\frac{753 \sqrt{1-2 x}}{196 (3 x+2) (5 x+3)^{3/2}}+\frac{3 \sqrt{1-2 x}}{14 (3 x+2)^2 (5 x+3)^{3/2}}-\frac{392283 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{196 \sqrt{7}}",1,"(-207895*Sqrt[1 - 2*x])/(6468*(3 + 5*x)^(3/2)) + (3*Sqrt[1 - 2*x])/(14*(2 + 3*x)^2*(3 + 5*x)^(3/2)) + (753*Sqrt[1 - 2*x])/(196*(2 + 3*x)*(3 + 5*x)^(3/2)) + (20743985*Sqrt[1 - 2*x])/(71148*Sqrt[3 + 5*x]) - (392283*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(196*Sqrt[7])","A",7,6,26,0.2308,1,"{103, 151, 152, 12, 93, 204}"
2516,1,166,0,0.0609974,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^4 (3+5 x)^{5/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^4*(3 + 5*x)^(5/2)),x]","\frac{2184369575 \sqrt{1-2 x}}{996072 \sqrt{5 x+3}}-\frac{21891025 \sqrt{1-2 x}}{90552 (5 x+3)^{3/2}}+\frac{79335 \sqrt{1-2 x}}{2744 (3 x+2) (5 x+3)^{3/2}}+\frac{325 \sqrt{1-2 x}}{196 (3 x+2)^2 (5 x+3)^{3/2}}+\frac{\sqrt{1-2 x}}{7 (3 x+2)^3 (5 x+3)^{3/2}}-\frac{41307885 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}","\frac{2184369575 \sqrt{1-2 x}}{996072 \sqrt{5 x+3}}-\frac{21891025 \sqrt{1-2 x}}{90552 (5 x+3)^{3/2}}+\frac{79335 \sqrt{1-2 x}}{2744 (3 x+2) (5 x+3)^{3/2}}+\frac{325 \sqrt{1-2 x}}{196 (3 x+2)^2 (5 x+3)^{3/2}}+\frac{\sqrt{1-2 x}}{7 (3 x+2)^3 (5 x+3)^{3/2}}-\frac{41307885 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}",1,"(-21891025*Sqrt[1 - 2*x])/(90552*(3 + 5*x)^(3/2)) + Sqrt[1 - 2*x]/(7*(2 + 3*x)^3*(3 + 5*x)^(3/2)) + (325*Sqrt[1 - 2*x])/(196*(2 + 3*x)^2*(3 + 5*x)^(3/2)) + (79335*Sqrt[1 - 2*x])/(2744*(2 + 3*x)*(3 + 5*x)^(3/2)) + (2184369575*Sqrt[1 - 2*x])/(996072*Sqrt[3 + 5*x]) - (41307885*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(2744*Sqrt[7])","A",8,6,26,0.2308,1,"{103, 151, 152, 12, 93, 204}"
2517,1,59,0,0.0465872,"\int \frac{1}{\sqrt{a+b x} (e+f x) \sqrt{2 b e-a f+b f x}} \, dx","Int[1/(Sqrt[a + b*x]*(e + f*x)*Sqrt[2*b*e - a*f + b*f*x]),x]","\frac{\tan ^{-1}\left(\frac{\sqrt{f} \sqrt{a+b x} \sqrt{-a f+2 b e+b f x}}{b e-a f}\right)}{\sqrt{f} (b e-a f)}","\frac{\tan ^{-1}\left(\frac{\sqrt{f} \sqrt{a+b x} \sqrt{-a f+2 b e+b f x}}{b e-a f}\right)}{\sqrt{f} (b e-a f)}",1,"ArcTan[(Sqrt[f]*Sqrt[a + b*x]*Sqrt[2*b*e - a*f + b*f*x])/(b*e - a*f)]/(Sqrt[f]*(b*e - a*f))","A",2,2,34,0.05882,1,"{92, 205}"
2518,1,168,0,0.0512781,"\int \frac{(2+3 x)^5 \sqrt{3+5 x}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^5*Sqrt[3 + 5*x])/(1 - 2*x)^(3/2),x]","\frac{\sqrt{5 x+3} (3 x+2)^5}{\sqrt{1-2 x}}+\frac{33}{20} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^4+\frac{10389 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^3}{1600}+\frac{847637 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2}{32000}+\frac{49 \sqrt{1-2 x} \sqrt{5 x+3} (36265980 x+87394471)}{5120000}-\frac{35439958001 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5120000 \sqrt{10}}","\frac{\sqrt{5 x+3} (3 x+2)^5}{\sqrt{1-2 x}}+\frac{33}{20} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^4+\frac{10389 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^3}{1600}+\frac{847637 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2}{32000}+\frac{49 \sqrt{1-2 x} \sqrt{5 x+3} (36265980 x+87394471)}{5120000}-\frac{35439958001 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5120000 \sqrt{10}}",1,"(847637*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/32000 + (10389*Sqrt[1 - 2*x]*(2 + 3*x)^3*Sqrt[3 + 5*x])/1600 + (33*Sqrt[1 - 2*x]*(2 + 3*x)^4*Sqrt[3 + 5*x])/20 + ((2 + 3*x)^5*Sqrt[3 + 5*x])/Sqrt[1 - 2*x] + (49*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(87394471 + 36265980*x))/5120000 - (35439958001*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(5120000*Sqrt[10])","A",7,5,26,0.1923,1,"{97, 153, 147, 54, 216}"
2519,1,139,0,0.0383941,"\int \frac{(2+3 x)^4 \sqrt{3+5 x}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^4*Sqrt[3 + 5*x])/(1 - 2*x)^(3/2),x]","\frac{\sqrt{5 x+3} (3 x+2)^4}{\sqrt{1-2 x}}+\frac{27}{16} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^3+\frac{2203}{320} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2+\frac{\sqrt{1-2 x} \sqrt{5 x+3} (4618500 x+11129753)}{51200}-\frac{92108287 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{51200 \sqrt{10}}","\frac{\sqrt{5 x+3} (3 x+2)^4}{\sqrt{1-2 x}}+\frac{27}{16} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^3+\frac{2203}{320} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2+\frac{\sqrt{1-2 x} \sqrt{5 x+3} (4618500 x+11129753)}{51200}-\frac{92108287 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{51200 \sqrt{10}}",1,"(2203*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/320 + (27*Sqrt[1 - 2*x]*(2 + 3*x)^3*Sqrt[3 + 5*x])/16 + ((2 + 3*x)^4*Sqrt[3 + 5*x])/Sqrt[1 - 2*x] + (Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(11129753 + 4618500*x))/51200 - (92108287*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(51200*Sqrt[10])","A",6,5,26,0.1923,1,"{97, 153, 147, 54, 216}"
2520,1,110,0,0.0281858,"\int \frac{(2+3 x)^3 \sqrt{3+5 x}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^3*Sqrt[3 + 5*x])/(1 - 2*x)^(3/2),x]","\frac{\sqrt{5 x+3} (3 x+2)^3}{\sqrt{1-2 x}}+\frac{7}{4} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2+\frac{\sqrt{1-2 x} \sqrt{5 x+3} (73380 x+176833)}{3200}-\frac{1463447 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{3200 \sqrt{10}}","\frac{\sqrt{5 x+3} (3 x+2)^3}{\sqrt{1-2 x}}+\frac{7}{4} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2+\frac{\sqrt{1-2 x} \sqrt{5 x+3} (73380 x+176833)}{3200}-\frac{1463447 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{3200 \sqrt{10}}",1,"(7*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/4 + ((2 + 3*x)^3*Sqrt[3 + 5*x])/Sqrt[1 - 2*x] + (Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(176833 + 73380*x))/3200 - (1463447*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(3200*Sqrt[10])","A",5,5,26,0.1923,1,"{97, 153, 147, 54, 216}"
2521,1,94,0,0.0241907,"\int \frac{(2+3 x)^2 \sqrt{3+5 x}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^2*Sqrt[3 + 5*x])/(1 - 2*x)^(3/2),x]","\frac{9}{40} \sqrt{1-2 x} (5 x+3)^{3/2}+\frac{49 (5 x+3)^{3/2}}{22 \sqrt{1-2 x}}+\frac{17951 \sqrt{1-2 x} \sqrt{5 x+3}}{1760}-\frac{17951 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{160 \sqrt{10}}","\frac{9}{40} \sqrt{1-2 x} (5 x+3)^{3/2}+\frac{49 (5 x+3)^{3/2}}{22 \sqrt{1-2 x}}+\frac{17951 \sqrt{1-2 x} \sqrt{5 x+3}}{1760}-\frac{17951 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{160 \sqrt{10}}",1,"(17951*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/1760 + (49*(3 + 5*x)^(3/2))/(22*Sqrt[1 - 2*x]) + (9*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/40 - (17951*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(160*Sqrt[10])","A",5,5,26,0.1923,1,"{89, 80, 50, 54, 216}"
2522,1,72,0,0.0158762,"\int \frac{(2+3 x) \sqrt{3+5 x}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)*Sqrt[3 + 5*x])/(1 - 2*x)^(3/2),x]","\frac{7 (5 x+3)^{3/2}}{11 \sqrt{1-2 x}}+\frac{103}{44} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{103 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{4 \sqrt{10}}","\frac{7 (5 x+3)^{3/2}}{11 \sqrt{1-2 x}}+\frac{103}{44} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{103 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{4 \sqrt{10}}",1,"(103*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/44 + (7*(3 + 5*x)^(3/2))/(11*Sqrt[1 - 2*x]) - (103*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(4*Sqrt[10])","A",4,4,24,0.1667,1,"{78, 50, 54, 216}"
2523,1,47,0,0.0099029,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{3/2}} \, dx","Int[Sqrt[3 + 5*x]/(1 - 2*x)^(3/2),x]","\frac{\sqrt{5 x+3}}{\sqrt{1-2 x}}-\sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","\frac{\sqrt{5 x+3}}{\sqrt{1-2 x}}-\sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"Sqrt[3 + 5*x]/Sqrt[1 - 2*x] - Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]]","A",3,3,19,0.1579,1,"{47, 54, 216}"
2524,1,57,0,0.0137494,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{3/2} (2+3 x)} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(3/2)*(2 + 3*x)),x]","\frac{2 \sqrt{5 x+3}}{7 \sqrt{1-2 x}}+\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}","\frac{2 \sqrt{5 x+3}}{7 \sqrt{1-2 x}}+\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}",1,"(2*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]) + (2*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(7*Sqrt[7])","A",3,3,26,0.1154,1,"{94, 93, 204}"
2525,1,93,0,0.0216005,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{3/2} (2+3 x)^2} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(3/2)*(2 + 3*x)^2),x]","\frac{4 (5 x+3)^{3/2}}{77 \sqrt{1-2 x} (3 x+2)}-\frac{29 \sqrt{1-2 x} \sqrt{5 x+3}}{539 (3 x+2)}-\frac{29 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}","\frac{4 (5 x+3)^{3/2}}{77 \sqrt{1-2 x} (3 x+2)}-\frac{29 \sqrt{1-2 x} \sqrt{5 x+3}}{539 (3 x+2)}-\frac{29 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}",1,"(-29*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(539*(2 + 3*x)) + (4*(3 + 5*x)^(3/2))/(77*Sqrt[1 - 2*x]*(2 + 3*x)) - (29*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(49*Sqrt[7])","A",4,4,26,0.1538,1,"{96, 94, 93, 204}"
2526,1,122,0,0.0381462,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{3/2} (2+3 x)^3} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(3/2)*(2 + 3*x)^3),x]","\frac{15 \sqrt{1-2 x} \sqrt{5 x+3}}{1372 (3 x+2)}-\frac{15 \sqrt{1-2 x} \sqrt{5 x+3}}{98 (3 x+2)^2}+\frac{2 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^2}-\frac{1585 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}","\frac{15 \sqrt{1-2 x} \sqrt{5 x+3}}{1372 (3 x+2)}-\frac{15 \sqrt{1-2 x} \sqrt{5 x+3}}{98 (3 x+2)^2}+\frac{2 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^2}-\frac{1585 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}",1,"(2*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]*(2 + 3*x)^2) - (15*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(98*(2 + 3*x)^2) + (15*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1372*(2 + 3*x)) - (1585*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1372*Sqrt[7])","A",6,5,26,0.1923,1,"{99, 151, 12, 93, 204}"
2527,1,151,0,0.0497381,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{3/2} (2+3 x)^4} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(3/2)*(2 + 3*x)^4),x]","\frac{565 \sqrt{1-2 x} \sqrt{5 x+3}}{2744 (3 x+2)}-\frac{5 \sqrt{1-2 x} \sqrt{5 x+3}}{196 (3 x+2)^2}-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{7 (3 x+2)^3}+\frac{2 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^3}-\frac{7435 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}","\frac{565 \sqrt{1-2 x} \sqrt{5 x+3}}{2744 (3 x+2)}-\frac{5 \sqrt{1-2 x} \sqrt{5 x+3}}{196 (3 x+2)^2}-\frac{\sqrt{1-2 x} \sqrt{5 x+3}}{7 (3 x+2)^3}+\frac{2 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^3}-\frac{7435 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}",1,"(2*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]*(2 + 3*x)^3) - (Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(7*(2 + 3*x)^3) - (5*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(196*(2 + 3*x)^2) + (565*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2744*(2 + 3*x)) - (7435*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(2744*Sqrt[7])","A",7,5,26,0.1923,1,"{99, 151, 12, 93, 204}"
2528,1,180,0,0.0634631,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{3/2} (2+3 x)^5} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(3/2)*(2 + 3*x)^5),x]","\frac{107245 \sqrt{1-2 x} \sqrt{5 x+3}}{153664 (3 x+2)}+\frac{835 \sqrt{1-2 x} \sqrt{5 x+3}}{10976 (3 x+2)^2}-\frac{13 \sqrt{1-2 x} \sqrt{5 x+3}}{392 (3 x+2)^3}-\frac{27 \sqrt{1-2 x} \sqrt{5 x+3}}{196 (3 x+2)^4}+\frac{2 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^4}-\frac{1244755 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{153664 \sqrt{7}}","\frac{107245 \sqrt{1-2 x} \sqrt{5 x+3}}{153664 (3 x+2)}+\frac{835 \sqrt{1-2 x} \sqrt{5 x+3}}{10976 (3 x+2)^2}-\frac{13 \sqrt{1-2 x} \sqrt{5 x+3}}{392 (3 x+2)^3}-\frac{27 \sqrt{1-2 x} \sqrt{5 x+3}}{196 (3 x+2)^4}+\frac{2 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^4}-\frac{1244755 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{153664 \sqrt{7}}",1,"(2*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]*(2 + 3*x)^4) - (27*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(196*(2 + 3*x)^4) - (13*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(392*(2 + 3*x)^3) + (835*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(10976*(2 + 3*x)^2) + (107245*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(153664*(2 + 3*x)) - (1244755*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(153664*Sqrt[7])","A",8,5,26,0.1923,1,"{99, 151, 12, 93, 204}"
2529,1,161,0,0.0444022,"\int \frac{(2+3 x)^4 (3+5 x)^{3/2}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^(3/2))/(1 - 2*x)^(3/2),x]","\frac{(5 x+3)^{3/2} (3 x+2)^4}{\sqrt{1-2 x}}+\frac{33}{20} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^3+\frac{10377 \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^2}{1600}+\frac{9 \sqrt{1-2 x} (5 x+3)^{3/2} (2253560 x+4772357)}{256000}+\frac{1018114917 \sqrt{1-2 x} \sqrt{5 x+3}}{1024000}-\frac{11199264087 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1024000 \sqrt{10}}","\frac{(5 x+3)^{3/2} (3 x+2)^4}{\sqrt{1-2 x}}+\frac{33}{20} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^3+\frac{10377 \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^2}{1600}+\frac{9 \sqrt{1-2 x} (5 x+3)^{3/2} (2253560 x+4772357)}{256000}+\frac{1018114917 \sqrt{1-2 x} \sqrt{5 x+3}}{1024000}-\frac{11199264087 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1024000 \sqrt{10}}",1,"(1018114917*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/1024000 + (10377*Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(3/2))/1600 + (33*Sqrt[1 - 2*x]*(2 + 3*x)^3*(3 + 5*x)^(3/2))/20 + ((2 + 3*x)^4*(3 + 5*x)^(3/2))/Sqrt[1 - 2*x] + (9*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)*(4772357 + 2253560*x))/256000 - (11199264087*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1024000*Sqrt[10])","A",7,6,26,0.2308,1,"{97, 153, 147, 50, 54, 216}"
2530,1,132,0,0.0325839,"\int \frac{(2+3 x)^3 (3+5 x)^{3/2}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^(3/2))/(1 - 2*x)^(3/2),x]","\frac{(5 x+3)^{3/2} (3 x+2)^3}{\sqrt{1-2 x}}+\frac{27}{16} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^2+\frac{9 \sqrt{1-2 x} (5 x+3)^{3/2} (29320 x+62091)}{12800}+\frac{13246251 \sqrt{1-2 x} \sqrt{5 x+3}}{51200}-\frac{145708761 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{51200 \sqrt{10}}","\frac{(5 x+3)^{3/2} (3 x+2)^3}{\sqrt{1-2 x}}+\frac{27}{16} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^2+\frac{9 \sqrt{1-2 x} (5 x+3)^{3/2} (29320 x+62091)}{12800}+\frac{13246251 \sqrt{1-2 x} \sqrt{5 x+3}}{51200}-\frac{145708761 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{51200 \sqrt{10}}",1,"(13246251*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/51200 + (27*Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(3/2))/16 + ((2 + 3*x)^3*(3 + 5*x)^(3/2))/Sqrt[1 - 2*x] + (9*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)*(62091 + 29320*x))/12800 - (145708761*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(51200*Sqrt[10])","A",6,6,26,0.2308,1,"{97, 153, 147, 50, 54, 216}"
2531,1,116,0,0.0298161,"\int \frac{(2+3 x)^2 (3+5 x)^{3/2}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^(3/2))/(1 - 2*x)^(3/2),x]","\frac{3}{20} \sqrt{1-2 x} (5 x+3)^{5/2}+\frac{49 (5 x+3)^{5/2}}{22 \sqrt{1-2 x}}+\frac{14057 \sqrt{1-2 x} (5 x+3)^{3/2}}{1760}+\frac{42171}{640} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{463881 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{640 \sqrt{10}}","\frac{3}{20} \sqrt{1-2 x} (5 x+3)^{5/2}+\frac{49 (5 x+3)^{5/2}}{22 \sqrt{1-2 x}}+\frac{14057 \sqrt{1-2 x} (5 x+3)^{3/2}}{1760}+\frac{42171}{640} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{463881 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{640 \sqrt{10}}",1,"(42171*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/640 + (14057*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/1760 + (49*(3 + 5*x)^(5/2))/(22*Sqrt[1 - 2*x]) + (3*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/20 - (463881*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(640*Sqrt[10])","A",6,5,26,0.1923,1,"{89, 80, 50, 54, 216}"
2532,1,94,0,0.0217582,"\int \frac{(2+3 x) (3+5 x)^{3/2}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)*(3 + 5*x)^(3/2))/(1 - 2*x)^(3/2),x]","\frac{7 (5 x+3)^{5/2}}{11 \sqrt{1-2 x}}+\frac{173}{88} \sqrt{1-2 x} (5 x+3)^{3/2}+\frac{519}{32} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{5709 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{32 \sqrt{10}}","\frac{7 (5 x+3)^{5/2}}{11 \sqrt{1-2 x}}+\frac{173}{88} \sqrt{1-2 x} (5 x+3)^{3/2}+\frac{519}{32} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{5709 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{32 \sqrt{10}}",1,"(519*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/32 + (173*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/88 + (7*(3 + 5*x)^(5/2))/(11*Sqrt[1 - 2*x]) - (5709*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(32*Sqrt[10])","A",5,4,24,0.1667,1,"{78, 50, 54, 216}"
2533,1,71,0,0.0148253,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{3/2}} \, dx","Int[(3 + 5*x)^(3/2)/(1 - 2*x)^(3/2),x]","\frac{(5 x+3)^{3/2}}{\sqrt{1-2 x}}+\frac{15}{4} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{33}{4} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","\frac{(5 x+3)^{3/2}}{\sqrt{1-2 x}}+\frac{15}{4} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{33}{4} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(15*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/4 + (3 + 5*x)^(3/2)/Sqrt[1 - 2*x] - (33*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/4","A",4,4,19,0.2105,1,"{47, 50, 54, 216}"
2534,1,86,0,0.0291158,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{3/2} (2+3 x)} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(3/2)*(2 + 3*x)),x]","\frac{11 \sqrt{5 x+3}}{7 \sqrt{1-2 x}}-\frac{5}{3} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{21 \sqrt{7}}","\frac{11 \sqrt{5 x+3}}{7 \sqrt{1-2 x}}-\frac{5}{3} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{21 \sqrt{7}}",1,"(11*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]) - (5*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/3 - (2*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(21*Sqrt[7])","A",6,6,26,0.2308,1,"{98, 157, 54, 216, 93, 204}"
2535,1,93,0,0.022101,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{3/2} (2+3 x)^2} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^2),x]","\frac{2 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)}+\frac{3 \sqrt{1-2 x} \sqrt{5 x+3}}{49 (3 x+2)}+\frac{33 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}","\frac{2 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)}+\frac{3 \sqrt{1-2 x} \sqrt{5 x+3}}{49 (3 x+2)}+\frac{33 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}",1,"(3*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(49*(2 + 3*x)) + (2*(3 + 5*x)^(3/2))/(7*Sqrt[1 - 2*x]*(2 + 3*x)) + (33*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(49*Sqrt[7])","A",4,3,26,0.1154,1,"{94, 93, 204}"
2536,1,122,0,0.0290412,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{3/2} (2+3 x)^3} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^3),x]","\frac{4 (5 x+3)^{5/2}}{77 \sqrt{1-2 x} (3 x+2)^2}-\frac{25 \sqrt{1-2 x} (5 x+3)^{3/2}}{1078 (3 x+2)^2}-\frac{75 \sqrt{1-2 x} \sqrt{5 x+3}}{1372 (3 x+2)}-\frac{825 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}","\frac{4 (5 x+3)^{5/2}}{77 \sqrt{1-2 x} (3 x+2)^2}-\frac{25 \sqrt{1-2 x} (5 x+3)^{3/2}}{1078 (3 x+2)^2}-\frac{75 \sqrt{1-2 x} \sqrt{5 x+3}}{1372 (3 x+2)}-\frac{825 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}",1,"(-75*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1372*(2 + 3*x)) - (25*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(1078*(2 + 3*x)^2) + (4*(3 + 5*x)^(5/2))/(77*Sqrt[1 - 2*x]*(2 + 3*x)^2) - (825*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1372*Sqrt[7])","A",5,4,26,0.1538,1,"{96, 94, 93, 204}"
2537,1,151,0,0.0500648,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{3/2} (2+3 x)^4} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^4),x]","-\frac{415 \sqrt{1-2 x} \sqrt{5 x+3}}{8232 (3 x+2)}-\frac{145 \sqrt{1-2 x} \sqrt{5 x+3}}{588 (3 x+2)^2}-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{3 (3 x+2)^3}+\frac{11 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^3}-\frac{2805 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}","-\frac{415 \sqrt{1-2 x} \sqrt{5 x+3}}{8232 (3 x+2)}-\frac{145 \sqrt{1-2 x} \sqrt{5 x+3}}{588 (3 x+2)^2}-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{3 (3 x+2)^3}+\frac{11 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^3}-\frac{2805 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}",1,"(11*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]*(2 + 3*x)^3) - (2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3*(2 + 3*x)^3) - (145*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(588*(2 + 3*x)^2) - (415*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(8232*(2 + 3*x)) - (2805*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(2744*Sqrt[7])","A",7,5,26,0.1923,1,"{98, 151, 12, 93, 204}"
2538,1,180,0,0.0654693,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{3/2} (2+3 x)^5} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^5),x]","\frac{16985 \sqrt{1-2 x} \sqrt{5 x+3}}{153664 (3 x+2)}-\frac{745 \sqrt{1-2 x} \sqrt{5 x+3}}{10976 (3 x+2)^2}-\frac{89 \sqrt{1-2 x} \sqrt{5 x+3}}{392 (3 x+2)^3}-\frac{131 \sqrt{1-2 x} \sqrt{5 x+3}}{196 (3 x+2)^4}+\frac{11 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^4}-\frac{279015 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{153664 \sqrt{7}}","\frac{16985 \sqrt{1-2 x} \sqrt{5 x+3}}{153664 (3 x+2)}-\frac{745 \sqrt{1-2 x} \sqrt{5 x+3}}{10976 (3 x+2)^2}-\frac{89 \sqrt{1-2 x} \sqrt{5 x+3}}{392 (3 x+2)^3}-\frac{131 \sqrt{1-2 x} \sqrt{5 x+3}}{196 (3 x+2)^4}+\frac{11 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^4}-\frac{279015 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{153664 \sqrt{7}}",1,"(11*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]*(2 + 3*x)^4) - (131*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(196*(2 + 3*x)^4) - (89*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(392*(2 + 3*x)^3) - (745*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(10976*(2 + 3*x)^2) + (16985*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(153664*(2 + 3*x)) - (279015*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(153664*Sqrt[7])","A",8,5,26,0.1923,1,"{98, 151, 12, 93, 204}"
2539,1,183,0,0.0550919,"\int \frac{(2+3 x)^4 (3+5 x)^{5/2}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^(5/2))/(1 - 2*x)^(3/2),x]","\frac{(5 x+3)^{5/2} (3 x+2)^4}{\sqrt{1-2 x}}+\frac{13}{8} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^3+\frac{999}{160} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^2+\frac{295101237 \sqrt{1-2 x} (5 x+3)^{3/2}}{409600}+\frac{\sqrt{1-2 x} (5 x+3)^{5/2} (3765060 x+7611023)}{51200}+\frac{9738340821 \sqrt{1-2 x} \sqrt{5 x+3}}{1638400}-\frac{107121749031 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1638400 \sqrt{10}}","\frac{(5 x+3)^{5/2} (3 x+2)^4}{\sqrt{1-2 x}}+\frac{13}{8} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^3+\frac{999}{160} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^2+\frac{295101237 \sqrt{1-2 x} (5 x+3)^{3/2}}{409600}+\frac{\sqrt{1-2 x} (5 x+3)^{5/2} (3765060 x+7611023)}{51200}+\frac{9738340821 \sqrt{1-2 x} \sqrt{5 x+3}}{1638400}-\frac{107121749031 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1638400 \sqrt{10}}",1,"(9738340821*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/1638400 + (295101237*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/409600 + (999*Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(5/2))/160 + (13*Sqrt[1 - 2*x]*(2 + 3*x)^3*(3 + 5*x)^(5/2))/8 + ((2 + 3*x)^4*(3 + 5*x)^(5/2))/Sqrt[1 - 2*x] + (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)*(7611023 + 3765060*x))/51200 - (107121749031*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1638400*Sqrt[10])","A",8,6,26,0.2308,1,"{97, 153, 147, 50, 54, 216}"
2540,1,154,0,0.0398047,"\int \frac{(2+3 x)^3 (3+5 x)^{5/2}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^(5/2))/(1 - 2*x)^(3/2),x]","\frac{(5 x+3)^{5/2} (3 x+2)^3}{\sqrt{1-2 x}}+\frac{33}{20} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^2+\frac{9748787 \sqrt{1-2 x} (5 x+3)^{3/2}}{51200}+\frac{9 \sqrt{1-2 x} (5 x+3)^{5/2} (13820 x+27937)}{6400}+\frac{321709971 \sqrt{1-2 x} \sqrt{5 x+3}}{204800}-\frac{3538809681 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{204800 \sqrt{10}}","\frac{(5 x+3)^{5/2} (3 x+2)^3}{\sqrt{1-2 x}}+\frac{33}{20} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^2+\frac{9748787 \sqrt{1-2 x} (5 x+3)^{3/2}}{51200}+\frac{9 \sqrt{1-2 x} (5 x+3)^{5/2} (13820 x+27937)}{6400}+\frac{321709971 \sqrt{1-2 x} \sqrt{5 x+3}}{204800}-\frac{3538809681 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{204800 \sqrt{10}}",1,"(321709971*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/204800 + (9748787*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/51200 + (33*Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(5/2))/20 + ((2 + 3*x)^3*(3 + 5*x)^(5/2))/Sqrt[1 - 2*x] + (9*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)*(27937 + 13820*x))/6400 - (3538809681*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(204800*Sqrt[10])","A",7,6,26,0.2308,1,"{97, 153, 147, 50, 54, 216}"
2541,1,138,0,0.0422166,"\int \frac{(2+3 x)^2 (3+5 x)^{5/2}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^(5/2))/(1 - 2*x)^(3/2),x]","\frac{9}{80} \sqrt{1-2 x} (5 x+3)^{7/2}+\frac{49 (5 x+3)^{7/2}}{22 \sqrt{1-2 x}}+\frac{25397 \sqrt{1-2 x} (5 x+3)^{5/2}}{3520}+\frac{25397}{512} \sqrt{1-2 x} (5 x+3)^{3/2}+\frac{838101 \sqrt{1-2 x} \sqrt{5 x+3}}{2048}-\frac{9219111 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2048 \sqrt{10}}","\frac{9}{80} \sqrt{1-2 x} (5 x+3)^{7/2}+\frac{49 (5 x+3)^{7/2}}{22 \sqrt{1-2 x}}+\frac{25397 \sqrt{1-2 x} (5 x+3)^{5/2}}{3520}+\frac{25397}{512} \sqrt{1-2 x} (5 x+3)^{3/2}+\frac{838101 \sqrt{1-2 x} \sqrt{5 x+3}}{2048}-\frac{9219111 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2048 \sqrt{10}}",1,"(838101*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/2048 + (25397*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/512 + (25397*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/3520 + (49*(3 + 5*x)^(7/2))/(22*Sqrt[1 - 2*x]) + (9*Sqrt[1 - 2*x]*(3 + 5*x)^(7/2))/80 - (9219111*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(2048*Sqrt[10])","A",7,5,26,0.1923,1,"{89, 80, 50, 54, 216}"
2542,1,118,0,0.0303091,"\int \frac{(2+3 x) (3+5 x)^{5/2}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)*(3 + 5*x)^(5/2))/(1 - 2*x)^(3/2),x]","\frac{7 (5 x+3)^{7/2}}{11 \sqrt{1-2 x}}+\frac{81}{44} \sqrt{1-2 x} (5 x+3)^{5/2}+\frac{405}{32} \sqrt{1-2 x} (5 x+3)^{3/2}+\frac{13365}{128} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{29403}{128} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","\frac{7 (5 x+3)^{7/2}}{11 \sqrt{1-2 x}}+\frac{81}{44} \sqrt{1-2 x} (5 x+3)^{5/2}+\frac{405}{32} \sqrt{1-2 x} (5 x+3)^{3/2}+\frac{13365}{128} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{29403}{128} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(13365*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/128 + (405*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/32 + (81*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/44 + (7*(3 + 5*x)^(7/2))/(11*Sqrt[1 - 2*x]) - (29403*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/128","A",6,4,24,0.1667,1,"{78, 50, 54, 216}"
2543,1,93,0,0.0217974,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{3/2}} \, dx","Int[(3 + 5*x)^(5/2)/(1 - 2*x)^(3/2),x]","\frac{(5 x+3)^{5/2}}{\sqrt{1-2 x}}+\frac{25}{8} \sqrt{1-2 x} (5 x+3)^{3/2}+\frac{825}{32} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{1815}{32} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","\frac{(5 x+3)^{5/2}}{\sqrt{1-2 x}}+\frac{25}{8} \sqrt{1-2 x} (5 x+3)^{3/2}+\frac{825}{32} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{1815}{32} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(825*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/32 + (25*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/8 + (3 + 5*x)^(5/2)/Sqrt[1 - 2*x] - (1815*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/32","A",5,4,19,0.2105,1,"{47, 50, 54, 216}"
2544,1,108,0,0.0395885,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{3/2} (2+3 x)} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(3/2)*(2 + 3*x)),x]","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x}}+\frac{505}{84} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{475}{36} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{63 \sqrt{7}}","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x}}+\frac{505}{84} \sqrt{1-2 x} \sqrt{5 x+3}-\frac{475}{36} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{63 \sqrt{7}}",1,"(505*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/84 + (11*(3 + 5*x)^(3/2))/(7*Sqrt[1 - 2*x]) - (475*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/36 + (2*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(63*Sqrt[7])","A",7,7,26,0.2692,1,"{98, 154, 157, 54, 216, 93, 204}"
2545,1,122,0,0.0422607,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{3/2} (2+3 x)^2} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^2),x]","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)}+\frac{32 \sqrt{1-2 x} \sqrt{5 x+3}}{147 (3 x+2)}-\frac{25}{9} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{169 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{441 \sqrt{7}}","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)}+\frac{32 \sqrt{1-2 x} \sqrt{5 x+3}}{147 (3 x+2)}-\frac{25}{9} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)-\frac{169 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{441 \sqrt{7}}",1,"(32*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(147*(2 + 3*x)) + (11*(3 + 5*x)^(3/2))/(7*Sqrt[1 - 2*x]*(2 + 3*x)) - (25*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/9 - (169*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(441*Sqrt[7])","A",7,7,26,0.2692,1,"{98, 149, 157, 54, 216, 93, 204}"
2546,1,122,0,0.0294422,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{3/2} (2+3 x)^3} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^3),x]","\frac{2 (5 x+3)^{5/2}}{7 \sqrt{1-2 x} (3 x+2)^2}+\frac{5 \sqrt{1-2 x} (5 x+3)^{3/2}}{98 (3 x+2)^2}+\frac{165 \sqrt{1-2 x} \sqrt{5 x+3}}{1372 (3 x+2)}+\frac{1815 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}","\frac{2 (5 x+3)^{5/2}}{7 \sqrt{1-2 x} (3 x+2)^2}+\frac{5 \sqrt{1-2 x} (5 x+3)^{3/2}}{98 (3 x+2)^2}+\frac{165 \sqrt{1-2 x} \sqrt{5 x+3}}{1372 (3 x+2)}+\frac{1815 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}",1,"(165*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1372*(2 + 3*x)) + (5*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(98*(2 + 3*x)^2) + (2*(3 + 5*x)^(5/2))/(7*Sqrt[1 - 2*x]*(2 + 3*x)^2) + (1815*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1372*Sqrt[7])","A",5,3,26,0.1154,1,"{94, 93, 204}"
2547,1,151,0,0.0405661,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{3/2} (2+3 x)^4} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^4),x]","\frac{4 (5 x+3)^{7/2}}{77 \sqrt{1-2 x} (3 x+2)^3}-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{77 (3 x+2)^3}-\frac{5 \sqrt{1-2 x} (5 x+3)^{3/2}}{196 (3 x+2)^2}-\frac{165 \sqrt{1-2 x} \sqrt{5 x+3}}{2744 (3 x+2)}-\frac{1815 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}","\frac{4 (5 x+3)^{7/2}}{77 \sqrt{1-2 x} (3 x+2)^3}-\frac{\sqrt{1-2 x} (5 x+3)^{5/2}}{77 (3 x+2)^3}-\frac{5 \sqrt{1-2 x} (5 x+3)^{3/2}}{196 (3 x+2)^2}-\frac{165 \sqrt{1-2 x} \sqrt{5 x+3}}{2744 (3 x+2)}-\frac{1815 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}",1,"(-165*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2744*(2 + 3*x)) - (5*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(196*(2 + 3*x)^2) - (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(77*(2 + 3*x)^3) + (4*(3 + 5*x)^(7/2))/(77*Sqrt[1 - 2*x]*(2 + 3*x)^3) - (1815*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(2744*Sqrt[7])","A",6,4,26,0.1538,1,"{96, 94, 93, 204}"
2548,1,180,0,0.0639432,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{3/2} (2+3 x)^5} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^5),x]","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)^4}-\frac{167155 \sqrt{1-2 x} \sqrt{5 x+3}}{1382976 (3 x+2)}-\frac{38365 \sqrt{1-2 x} \sqrt{5 x+3}}{98784 (3 x+2)^2}-\frac{3653 \sqrt{1-2 x} \sqrt{5 x+3}}{3528 (3 x+2)^3}+\frac{131 \sqrt{1-2 x} \sqrt{5 x+3}}{588 (3 x+2)^4}-\frac{168795 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{153664 \sqrt{7}}","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)^4}-\frac{167155 \sqrt{1-2 x} \sqrt{5 x+3}}{1382976 (3 x+2)}-\frac{38365 \sqrt{1-2 x} \sqrt{5 x+3}}{98784 (3 x+2)^2}-\frac{3653 \sqrt{1-2 x} \sqrt{5 x+3}}{3528 (3 x+2)^3}+\frac{131 \sqrt{1-2 x} \sqrt{5 x+3}}{588 (3 x+2)^4}-\frac{168795 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{153664 \sqrt{7}}",1,"(131*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(588*(2 + 3*x)^4) - (3653*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3528*(2 + 3*x)^3) - (38365*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(98784*(2 + 3*x)^2) - (167155*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1382976*(2 + 3*x)) + (11*(3 + 5*x)^(3/2))/(7*Sqrt[1 - 2*x]*(2 + 3*x)^4) - (168795*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(153664*Sqrt[7])","A",8,6,26,0.2308,1,"{98, 149, 151, 12, 93, 204}"
2549,1,209,0,0.0817854,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{3/2} (2+3 x)^6} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^6),x]","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)^5}+\frac{426781 \sqrt{1-2 x} \sqrt{5 x+3}}{6453888 (3 x+2)}-\frac{55277 \sqrt{1-2 x} \sqrt{5 x+3}}{460992 (3 x+2)^2}-\frac{29297 \sqrt{1-2 x} \sqrt{5 x+3}}{82320 (3 x+2)^3}-\frac{42863 \sqrt{1-2 x} \sqrt{5 x+3}}{41160 (3 x+2)^4}+\frac{164 \sqrt{1-2 x} \sqrt{5 x+3}}{735 (3 x+2)^5}-\frac{3474273 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2151296 \sqrt{7}}","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)^5}+\frac{426781 \sqrt{1-2 x} \sqrt{5 x+3}}{6453888 (3 x+2)}-\frac{55277 \sqrt{1-2 x} \sqrt{5 x+3}}{460992 (3 x+2)^2}-\frac{29297 \sqrt{1-2 x} \sqrt{5 x+3}}{82320 (3 x+2)^3}-\frac{42863 \sqrt{1-2 x} \sqrt{5 x+3}}{41160 (3 x+2)^4}+\frac{164 \sqrt{1-2 x} \sqrt{5 x+3}}{735 (3 x+2)^5}-\frac{3474273 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2151296 \sqrt{7}}",1,"(164*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(735*(2 + 3*x)^5) - (42863*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(41160*(2 + 3*x)^4) - (29297*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(82320*(2 + 3*x)^3) - (55277*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(460992*(2 + 3*x)^2) + (426781*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(6453888*(2 + 3*x)) + (11*(3 + 5*x)^(3/2))/(7*Sqrt[1 - 2*x]*(2 + 3*x)^5) - (3474273*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(2151296*Sqrt[7])","A",9,6,26,0.2308,1,"{98, 149, 151, 12, 93, 204}"
2550,1,142,0,0.0440307,"\int \frac{(2+3 x)^5}{(1-2 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (3 x+2)^4}{11 \sqrt{1-2 x}}+\frac{939}{880} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^3+\frac{76587 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2}{17600}+\frac{21 \sqrt{1-2 x} \sqrt{5 x+3} (7645620 x+18424549)}{2816000}-\frac{291096141 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{256000 \sqrt{10}}","\frac{7 \sqrt{5 x+3} (3 x+2)^4}{11 \sqrt{1-2 x}}+\frac{939}{880} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^3+\frac{76587 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2}{17600}+\frac{21 \sqrt{1-2 x} \sqrt{5 x+3} (7645620 x+18424549)}{2816000}-\frac{291096141 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{256000 \sqrt{10}}",1,"(76587*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/17600 + (939*Sqrt[1 - 2*x]*(2 + 3*x)^3*Sqrt[3 + 5*x])/880 + (7*(2 + 3*x)^4*Sqrt[3 + 5*x])/(11*Sqrt[1 - 2*x]) + (21*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(18424549 + 7645620*x))/2816000 - (291096141*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(256000*Sqrt[10])","A",6,5,26,0.1923,1,"{98, 153, 147, 54, 216}"
2551,1,113,0,0.0315155,"\int \frac{(2+3 x)^4}{(1-2 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (3 x+2)^3}{11 \sqrt{1-2 x}}+\frac{243}{220} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2+\frac{9 \sqrt{1-2 x} \sqrt{5 x+3} (11316 x+27269)}{7040}-\frac{184641 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{640 \sqrt{10}}","\frac{7 \sqrt{5 x+3} (3 x+2)^3}{11 \sqrt{1-2 x}}+\frac{243}{220} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2+\frac{9 \sqrt{1-2 x} \sqrt{5 x+3} (11316 x+27269)}{7040}-\frac{184641 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{640 \sqrt{10}}",1,"(243*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/220 + (7*(2 + 3*x)^3*Sqrt[3 + 5*x])/(11*Sqrt[1 - 2*x]) + (9*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(27269 + 11316*x))/7040 - (184641*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(640*Sqrt[10])","A",5,5,26,0.1923,1,"{98, 153, 147, 54, 216}"
2552,1,84,0,0.0201763,"\int \frac{(2+3 x)^3}{(1-2 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (3 x+2)^2}{11 \sqrt{1-2 x}}+\frac{3 \sqrt{1-2 x} \sqrt{5 x+3} (10380 x+25003)}{8800}-\frac{56421 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{800 \sqrt{10}}","\frac{7 \sqrt{5 x+3} (3 x+2)^2}{11 \sqrt{1-2 x}}+\frac{3 \sqrt{1-2 x} \sqrt{5 x+3} (10380 x+25003)}{8800}-\frac{56421 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{800 \sqrt{10}}",1,"(7*(2 + 3*x)^2*Sqrt[3 + 5*x])/(11*Sqrt[1 - 2*x]) + (3*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(25003 + 10380*x))/8800 - (56421*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(800*Sqrt[10])","A",4,4,26,0.1538,1,"{98, 147, 54, 216}"
2553,1,72,0,0.0174986,"\int \frac{(2+3 x)^2}{(1-2 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{9}{20} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{49 \sqrt{5 x+3}}{22 \sqrt{1-2 x}}-\frac{321 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{20 \sqrt{10}}","\frac{9}{20} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{49 \sqrt{5 x+3}}{22 \sqrt{1-2 x}}-\frac{321 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{20 \sqrt{10}}",1,"(49*Sqrt[3 + 5*x])/(22*Sqrt[1 - 2*x]) + (9*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/20 - (321*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(20*Sqrt[10])","A",4,4,26,0.1538,1,"{89, 80, 54, 216}"
2554,1,48,0,0.0101105,"\int \frac{2+3 x}{(1-2 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)/((1 - 2*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3}}{11 \sqrt{1-2 x}}-\frac{3 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{\sqrt{10}}","\frac{7 \sqrt{5 x+3}}{11 \sqrt{1-2 x}}-\frac{3 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{\sqrt{10}}",1,"(7*Sqrt[3 + 5*x])/(11*Sqrt[1 - 2*x]) - (3*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/Sqrt[10]","A",3,3,24,0.1250,1,"{78, 54, 216}"
2555,1,22,0,0.0019502,"\int \frac{1}{(1-2 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{2 \sqrt{5 x+3}}{11 \sqrt{1-2 x}}","\frac{2 \sqrt{5 x+3}}{11 \sqrt{1-2 x}}",1,"(2*Sqrt[3 + 5*x])/(11*Sqrt[1 - 2*x])","A",1,1,19,0.05263,1,"{37}"
2556,1,57,0,0.0130998,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x) \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)*Sqrt[3 + 5*x]),x]","\frac{4 \sqrt{5 x+3}}{77 \sqrt{1-2 x}}-\frac{6 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}","\frac{4 \sqrt{5 x+3}}{77 \sqrt{1-2 x}}-\frac{6 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}",1,"(4*Sqrt[3 + 5*x])/(77*Sqrt[1 - 2*x]) - (6*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(7*Sqrt[7])","A",3,3,26,0.1154,1,"{96, 93, 204}"
2557,1,86,0,0.024538,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^2 \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^2*Sqrt[3 + 5*x]),x]","-\frac{58 \sqrt{5 x+3}}{539 \sqrt{1-2 x}}+\frac{3 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)}-\frac{123 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}","-\frac{58 \sqrt{5 x+3}}{539 \sqrt{1-2 x}}+\frac{3 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)}-\frac{123 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}",1,"(-58*Sqrt[3 + 5*x])/(539*Sqrt[1 - 2*x]) + (3*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]*(2 + 3*x)) - (123*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(49*Sqrt[7])","A",5,5,26,0.1923,1,"{103, 152, 12, 93, 204}"
2558,1,115,0,0.0355607,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^3 \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^3*Sqrt[3 + 5*x]),x]","-\frac{3895 \sqrt{5 x+3}}{7546 \sqrt{1-2 x}}+\frac{345 \sqrt{5 x+3}}{196 \sqrt{1-2 x} (3 x+2)}+\frac{3 \sqrt{5 x+3}}{14 \sqrt{1-2 x} (3 x+2)^2}-\frac{12465 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}","-\frac{3895 \sqrt{5 x+3}}{7546 \sqrt{1-2 x}}+\frac{345 \sqrt{5 x+3}}{196 \sqrt{1-2 x} (3 x+2)}+\frac{3 \sqrt{5 x+3}}{14 \sqrt{1-2 x} (3 x+2)^2}-\frac{12465 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}",1,"(-3895*Sqrt[3 + 5*x])/(7546*Sqrt[1 - 2*x]) + (3*Sqrt[3 + 5*x])/(14*Sqrt[1 - 2*x]*(2 + 3*x)^2) + (345*Sqrt[3 + 5*x])/(196*Sqrt[1 - 2*x]*(2 + 3*x)) - (12465*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1372*Sqrt[7])","A",6,6,26,0.2308,1,"{103, 151, 152, 12, 93, 204}"
2559,1,144,0,0.0488349,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^4 \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^4*Sqrt[3 + 5*x]),x]","-\frac{32735 \sqrt{5 x+3}}{15092 \sqrt{1-2 x}}+\frac{2865 \sqrt{5 x+3}}{392 \sqrt{1-2 x} (3 x+2)}+\frac{27 \sqrt{5 x+3}}{28 \sqrt{1-2 x} (3 x+2)^2}+\frac{\sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^3}-\frac{102345 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}","-\frac{32735 \sqrt{5 x+3}}{15092 \sqrt{1-2 x}}+\frac{2865 \sqrt{5 x+3}}{392 \sqrt{1-2 x} (3 x+2)}+\frac{27 \sqrt{5 x+3}}{28 \sqrt{1-2 x} (3 x+2)^2}+\frac{\sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^3}-\frac{102345 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}",1,"(-32735*Sqrt[3 + 5*x])/(15092*Sqrt[1 - 2*x]) + Sqrt[3 + 5*x]/(7*Sqrt[1 - 2*x]*(2 + 3*x)^3) + (27*Sqrt[3 + 5*x])/(28*Sqrt[1 - 2*x]*(2 + 3*x)^2) + (2865*Sqrt[3 + 5*x])/(392*Sqrt[1 - 2*x]*(2 + 3*x)) - (102345*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(2744*Sqrt[7])","A",7,6,26,0.2308,1,"{103, 151, 152, 12, 93, 204}"
2560,1,173,0,0.0604215,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^5 \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^5*Sqrt[3 + 5*x]),x]","-\frac{7986105 \sqrt{5 x+3}}{845152 \sqrt{1-2 x}}+\frac{698295 \sqrt{5 x+3}}{21952 \sqrt{1-2 x} (3 x+2)}+\frac{6621 \sqrt{5 x+3}}{1568 \sqrt{1-2 x} (3 x+2)^2}+\frac{263 \sqrt{5 x+3}}{392 \sqrt{1-2 x} (3 x+2)^3}+\frac{3 \sqrt{5 x+3}}{28 \sqrt{1-2 x} (3 x+2)^4}-\frac{24922335 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{153664 \sqrt{7}}","-\frac{7986105 \sqrt{5 x+3}}{845152 \sqrt{1-2 x}}+\frac{698295 \sqrt{5 x+3}}{21952 \sqrt{1-2 x} (3 x+2)}+\frac{6621 \sqrt{5 x+3}}{1568 \sqrt{1-2 x} (3 x+2)^2}+\frac{263 \sqrt{5 x+3}}{392 \sqrt{1-2 x} (3 x+2)^3}+\frac{3 \sqrt{5 x+3}}{28 \sqrt{1-2 x} (3 x+2)^4}-\frac{24922335 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{153664 \sqrt{7}}",1,"(-7986105*Sqrt[3 + 5*x])/(845152*Sqrt[1 - 2*x]) + (3*Sqrt[3 + 5*x])/(28*Sqrt[1 - 2*x]*(2 + 3*x)^4) + (263*Sqrt[3 + 5*x])/(392*Sqrt[1 - 2*x]*(2 + 3*x)^3) + (6621*Sqrt[3 + 5*x])/(1568*Sqrt[1 - 2*x]*(2 + 3*x)^2) + (698295*Sqrt[3 + 5*x])/(21952*Sqrt[1 - 2*x]*(2 + 3*x)) - (24922335*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(153664*Sqrt[7])","A",8,6,26,0.2308,1,"{103, 151, 152, 12, 93, 204}"
2561,1,142,0,0.0426555,"\int \frac{(2+3 x)^5}{(1-2 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)),x]","\frac{7 (3 x+2)^4}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{37 \sqrt{1-2 x} (3 x+2)^3}{605 \sqrt{5 x+3}}+\frac{8463 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2}{12100}+\frac{21 \sqrt{1-2 x} \sqrt{5 x+3} (841380 x+2027201)}{1936000}-\frac{2911419 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{16000 \sqrt{10}}","\frac{7 (3 x+2)^4}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{37 \sqrt{1-2 x} (3 x+2)^3}{605 \sqrt{5 x+3}}+\frac{8463 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2}{12100}+\frac{21 \sqrt{1-2 x} \sqrt{5 x+3} (841380 x+2027201)}{1936000}-\frac{2911419 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{16000 \sqrt{10}}",1,"(-37*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(605*Sqrt[3 + 5*x]) + (7*(2 + 3*x)^4)/(11*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) + (8463*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/12100 + (21*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(2027201 + 841380*x))/1936000 - (2911419*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(16000*Sqrt[10])","A",6,6,26,0.2308,1,"{98, 150, 153, 147, 54, 216}"
2562,1,113,0,0.0335403,"\int \frac{(2+3 x)^4}{(1-2 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)),x]","\frac{7 (3 x+2)^3}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{37 \sqrt{1-2 x} (3 x+2)^2}{605 \sqrt{5 x+3}}+\frac{3 \sqrt{1-2 x} \sqrt{5 x+3} (72060 x+173063)}{96800}-\frac{35451 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{800 \sqrt{10}}","\frac{7 (3 x+2)^3}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{37 \sqrt{1-2 x} (3 x+2)^2}{605 \sqrt{5 x+3}}+\frac{3 \sqrt{1-2 x} \sqrt{5 x+3} (72060 x+173063)}{96800}-\frac{35451 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{800 \sqrt{10}}",1,"(-37*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(605*Sqrt[3 + 5*x]) + (7*(2 + 3*x)^3)/(11*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) + (3*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(173063 + 72060*x))/96800 - (35451*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(800*Sqrt[10])","A",5,5,26,0.1923,1,"{98, 150, 147, 54, 216}"
2563,1,84,0,0.0210367,"\int \frac{(2+3 x)^3}{(1-2 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)),x]","\frac{7 (3 x+2)^2}{11 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{\sqrt{1-2 x} (50985 x+30443)}{12100 \sqrt{5 x+3}}-\frac{999 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{100 \sqrt{10}}","\frac{7 (3 x+2)^2}{11 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{\sqrt{1-2 x} (50985 x+30443)}{12100 \sqrt{5 x+3}}-\frac{999 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{100 \sqrt{10}}",1,"(7*(2 + 3*x)^2)/(11*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) + (Sqrt[1 - 2*x]*(30443 + 50985*x))/(12100*Sqrt[3 + 5*x]) - (999*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(100*Sqrt[10])","A",4,4,26,0.1538,1,"{98, 143, 54, 216}"
2564,1,72,0,0.0156366,"\int \frac{(2+3 x)^2}{(1-2 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)),x]","-\frac{1229 \sqrt{1-2 x}}{1210 \sqrt{5 x+3}}+\frac{49}{22 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{9 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5 \sqrt{10}}","-\frac{1229 \sqrt{1-2 x}}{1210 \sqrt{5 x+3}}+\frac{49}{22 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{9 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{5 \sqrt{10}}",1,"49/(22*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (1229*Sqrt[1 - 2*x])/(1210*Sqrt[3 + 5*x]) - (9*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(5*Sqrt[10])","A",4,4,26,0.1538,1,"{89, 78, 54, 216}"
2565,1,45,0,0.0058102,"\int \frac{2+3 x}{(1-2 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)/((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)),x]","\frac{74 \sqrt{5 x+3}}{605 \sqrt{1-2 x}}-\frac{2}{55 \sqrt{1-2 x} \sqrt{5 x+3}}","\frac{74 \sqrt{5 x+3}}{605 \sqrt{1-2 x}}-\frac{2}{55 \sqrt{1-2 x} \sqrt{5 x+3}}",1,"-2/(55*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) + (74*Sqrt[3 + 5*x])/(605*Sqrt[1 - 2*x])","A",2,2,24,0.08333,1,"{78, 37}"
2566,1,45,0,0.0058214,"\int \frac{1}{(1-2 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)),x]","\frac{2}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{20 \sqrt{1-2 x}}{121 \sqrt{5 x+3}}","\frac{2}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{20 \sqrt{1-2 x}}{121 \sqrt{5 x+3}}",1,"2/(11*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (20*Sqrt[1 - 2*x])/(121*Sqrt[3 + 5*x])","A",2,2,19,0.1053,1,"{45, 37}"
2567,1,79,0,0.026855,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x) (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^(3/2)),x]","-\frac{370 \sqrt{1-2 x}}{847 \sqrt{5 x+3}}+\frac{4}{77 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{18 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}","-\frac{370 \sqrt{1-2 x}}{847 \sqrt{5 x+3}}+\frac{4}{77 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{18 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}",1,"4/(77*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (370*Sqrt[1 - 2*x])/(847*Sqrt[3 + 5*x]) + (18*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(7*Sqrt[7])","A",5,5,26,0.1923,1,"{104, 152, 12, 93, 204}"
2568,1,108,0,0.0362919,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^2 (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^(3/2)),x]","-\frac{17735 \sqrt{1-2 x}}{5929 \sqrt{5 x+3}}-\frac{58}{539 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{3}{7 \sqrt{1-2 x} (3 x+2) \sqrt{5 x+3}}+\frac{999 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}","-\frac{17735 \sqrt{1-2 x}}{5929 \sqrt{5 x+3}}-\frac{58}{539 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{3}{7 \sqrt{1-2 x} (3 x+2) \sqrt{5 x+3}}+\frac{999 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}",1,"-58/(539*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (17735*Sqrt[1 - 2*x])/(5929*Sqrt[3 + 5*x]) + 3/(7*Sqrt[1 - 2*x]*(2 + 3*x)*Sqrt[3 + 5*x]) + (999*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(49*Sqrt[7])","A",6,5,26,0.1923,1,"{103, 152, 12, 93, 204}"
2569,1,137,0,0.0496286,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^3 (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^3*(3 + 5*x)^(3/2)),x]","-\frac{3125575 \sqrt{1-2 x}}{166012 \sqrt{5 x+3}}-\frac{6205}{7546 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{555}{196 \sqrt{1-2 x} (3 x+2) \sqrt{5 x+3}}+\frac{3}{14 \sqrt{1-2 x} (3 x+2)^2 \sqrt{5 x+3}}+\frac{177255 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}","-\frac{3125575 \sqrt{1-2 x}}{166012 \sqrt{5 x+3}}-\frac{6205}{7546 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{555}{196 \sqrt{1-2 x} (3 x+2) \sqrt{5 x+3}}+\frac{3}{14 \sqrt{1-2 x} (3 x+2)^2 \sqrt{5 x+3}}+\frac{177255 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}",1,"-6205/(7546*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (3125575*Sqrt[1 - 2*x])/(166012*Sqrt[3 + 5*x]) + 3/(14*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x]) + 555/(196*Sqrt[1 - 2*x]*(2 + 3*x)*Sqrt[3 + 5*x]) + (177255*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1372*Sqrt[7])","A",7,6,26,0.2308,1,"{103, 151, 152, 12, 93, 204}"
2570,1,166,0,0.0578747,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^4 (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^4*(3 + 5*x)^(3/2)),x]","-\frac{36657025 \sqrt{1-2 x}}{332024 \sqrt{5 x+3}}-\frac{73435}{15092 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{6525}{392 \sqrt{1-2 x} (3 x+2) \sqrt{5 x+3}}+\frac{37}{28 \sqrt{1-2 x} (3 x+2)^2 \sqrt{5 x+3}}+\frac{1}{7 \sqrt{1-2 x} (3 x+2)^3 \sqrt{5 x+3}}+\frac{2079585 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}","-\frac{36657025 \sqrt{1-2 x}}{332024 \sqrt{5 x+3}}-\frac{73435}{15092 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{6525}{392 \sqrt{1-2 x} (3 x+2) \sqrt{5 x+3}}+\frac{37}{28 \sqrt{1-2 x} (3 x+2)^2 \sqrt{5 x+3}}+\frac{1}{7 \sqrt{1-2 x} (3 x+2)^3 \sqrt{5 x+3}}+\frac{2079585 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{2744 \sqrt{7}}",1,"-73435/(15092*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (36657025*Sqrt[1 - 2*x])/(332024*Sqrt[3 + 5*x]) + 1/(7*Sqrt[1 - 2*x]*(2 + 3*x)^3*Sqrt[3 + 5*x]) + 37/(28*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x]) + 6525/(392*Sqrt[1 - 2*x]*(2 + 3*x)*Sqrt[3 + 5*x]) + (2079585*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(2744*Sqrt[7])","A",8,6,26,0.2308,1,"{103, 151, 152, 12, 93, 204}"
2571,1,142,0,0.0409921,"\int \frac{(2+3 x)^5}{(1-2 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^4}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{107 \sqrt{1-2 x} (3 x+2)^3}{1815 (5 x+3)^{3/2}}-\frac{4487 \sqrt{1-2 x} (3 x+2)^2}{99825 \sqrt{5 x+3}}+\frac{7 \sqrt{1-2 x} \sqrt{5 x+3} (1078860 x+2571547)}{5324000}-\frac{111321 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{4000 \sqrt{10}}","\frac{7 (3 x+2)^4}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{107 \sqrt{1-2 x} (3 x+2)^3}{1815 (5 x+3)^{3/2}}-\frac{4487 \sqrt{1-2 x} (3 x+2)^2}{99825 \sqrt{5 x+3}}+\frac{7 \sqrt{1-2 x} \sqrt{5 x+3} (1078860 x+2571547)}{5324000}-\frac{111321 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{4000 \sqrt{10}}",1,"(-107*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(1815*(3 + 5*x)^(3/2)) + (7*(2 + 3*x)^4)/(11*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (4487*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(99825*Sqrt[3 + 5*x]) + (7*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(2571547 + 1078860*x))/5324000 - (111321*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(4000*Sqrt[10])","A",6,5,26,0.1923,1,"{98, 150, 147, 54, 216}"
2572,1,113,0,0.032144,"\int \frac{(2+3 x)^4}{(1-2 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^3}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{107 \sqrt{1-2 x} (3 x+2)^2}{1815 (5 x+3)^{3/2}}+\frac{\sqrt{1-2 x} (1051875 x+627641)}{399300 \sqrt{5 x+3}}-\frac{621 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{100 \sqrt{10}}","\frac{7 (3 x+2)^3}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{107 \sqrt{1-2 x} (3 x+2)^2}{1815 (5 x+3)^{3/2}}+\frac{\sqrt{1-2 x} (1051875 x+627641)}{399300 \sqrt{5 x+3}}-\frac{621 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{100 \sqrt{10}}",1,"(-107*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(1815*(3 + 5*x)^(3/2)) + (7*(2 + 3*x)^3)/(11*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) + (Sqrt[1 - 2*x]*(627641 + 1051875*x))/(399300*Sqrt[3 + 5*x]) - (621*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(100*Sqrt[10])","A",5,5,26,0.1923,1,"{98, 150, 143, 54, 216}"
2573,1,84,0,0.0201332,"\int \frac{(2+3 x)^3}{(1-2 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^2}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{\sqrt{1-2 x} (38770 x+24439)}{99825 (5 x+3)^{3/2}}-\frac{27 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{25 \sqrt{10}}","\frac{7 (3 x+2)^2}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{\sqrt{1-2 x} (38770 x+24439)}{99825 (5 x+3)^{3/2}}-\frac{27 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{25 \sqrt{10}}",1,"(7*(2 + 3*x)^2)/(11*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (Sqrt[1 - 2*x]*(24439 + 38770*x))/(99825*(3 + 5*x)^(3/2)) - (27*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(25*Sqrt[10])","A",4,4,26,0.1538,1,"{98, 145, 54, 216}"
2574,1,67,0,0.0116792,"\int \frac{(2+3 x)^2}{(1-2 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2)),x]","-\frac{4091 \sqrt{1-2 x}}{19965 \sqrt{5 x+3}}-\frac{3679 \sqrt{1-2 x}}{3630 (5 x+3)^{3/2}}+\frac{49}{22 (5 x+3)^{3/2} \sqrt{1-2 x}}","-\frac{4091 \sqrt{1-2 x}}{19965 \sqrt{5 x+3}}-\frac{3679 \sqrt{1-2 x}}{3630 (5 x+3)^{3/2}}+\frac{49}{22 (5 x+3)^{3/2} \sqrt{1-2 x}}",1,"49/(22*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (3679*Sqrt[1 - 2*x])/(3630*(3 + 5*x)^(3/2)) - (4091*Sqrt[1 - 2*x])/(19965*Sqrt[3 + 5*x])","A",3,3,26,0.1154,1,"{89, 78, 37}"
2575,1,67,0,0.0098582,"\int \frac{2+3 x}{(1-2 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)/((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2)),x]","-\frac{428 \sqrt{1-2 x}}{3993 \sqrt{5 x+3}}-\frac{107 \sqrt{1-2 x}}{363 (5 x+3)^{3/2}}+\frac{7}{11 (5 x+3)^{3/2} \sqrt{1-2 x}}","-\frac{428 \sqrt{1-2 x}}{3993 \sqrt{5 x+3}}-\frac{107 \sqrt{1-2 x}}{363 (5 x+3)^{3/2}}+\frac{7}{11 (5 x+3)^{3/2} \sqrt{1-2 x}}",1,"7/(11*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (107*Sqrt[1 - 2*x])/(363*(3 + 5*x)^(3/2)) - (428*Sqrt[1 - 2*x])/(3993*Sqrt[3 + 5*x])","A",3,3,24,0.1250,1,"{78, 45, 37}"
2576,1,67,0,0.0102942,"\int \frac{1}{(1-2 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2)),x]","-\frac{160 \sqrt{1-2 x}}{3993 \sqrt{5 x+3}}-\frac{40 \sqrt{1-2 x}}{363 (5 x+3)^{3/2}}+\frac{2}{11 (5 x+3)^{3/2} \sqrt{1-2 x}}","-\frac{160 \sqrt{1-2 x}}{3993 \sqrt{5 x+3}}-\frac{40 \sqrt{1-2 x}}{363 (5 x+3)^{3/2}}+\frac{2}{11 (5 x+3)^{3/2} \sqrt{1-2 x}}",1,"2/(11*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (40*Sqrt[1 - 2*x])/(363*(3 + 5*x)^(3/2)) - (160*Sqrt[1 - 2*x])/(3993*Sqrt[3 + 5*x])","A",3,2,19,0.1053,1,"{45, 37}"
2577,1,101,0,0.036159,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x) (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^(5/2)),x]","\frac{31030 \sqrt{1-2 x}}{27951 \sqrt{5 x+3}}-\frac{410 \sqrt{1-2 x}}{2541 (5 x+3)^{3/2}}+\frac{4}{77 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{54 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}","\frac{31030 \sqrt{1-2 x}}{27951 \sqrt{5 x+3}}-\frac{410 \sqrt{1-2 x}}{2541 (5 x+3)^{3/2}}+\frac{4}{77 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{54 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{7 \sqrt{7}}",1,"4/(77*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (410*Sqrt[1 - 2*x])/(2541*(3 + 5*x)^(3/2)) + (31030*Sqrt[1 - 2*x])/(27951*Sqrt[3 + 5*x]) - (54*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(7*Sqrt[7])","A",6,5,26,0.1923,1,"{104, 152, 12, 93, 204}"
2578,1,130,0,0.0470482,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^2 (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^(5/2)),x]","\frac{2841815 \sqrt{1-2 x}}{195657 \sqrt{5 x+3}}-\frac{28705 \sqrt{1-2 x}}{17787 (5 x+3)^{3/2}}-\frac{58}{539 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{3}{7 \sqrt{1-2 x} (3 x+2) (5 x+3)^{3/2}}-\frac{4887 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}","\frac{2841815 \sqrt{1-2 x}}{195657 \sqrt{5 x+3}}-\frac{28705 \sqrt{1-2 x}}{17787 (5 x+3)^{3/2}}-\frac{58}{539 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{3}{7 \sqrt{1-2 x} (3 x+2) (5 x+3)^{3/2}}-\frac{4887 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}",1,"-58/(539*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (28705*Sqrt[1 - 2*x])/(17787*(3 + 5*x)^(3/2)) + 3/(7*Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^(3/2)) + (2841815*Sqrt[1 - 2*x])/(195657*Sqrt[3 + 5*x]) - (4887*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(49*Sqrt[7])","A",7,5,26,0.1923,1,"{103, 152, 12, 93, 204}"
2579,1,159,0,0.0588996,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^3 (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^3*(3 + 5*x)^(5/2)),x]","\frac{707286025 \sqrt{1-2 x}}{5478396 \sqrt{5 x+3}}-\frac{7090175 \sqrt{1-2 x}}{498036 (5 x+3)^{3/2}}-\frac{8515}{7546 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{765}{196 \sqrt{1-2 x} (3 x+2) (5 x+3)^{3/2}}+\frac{3}{14 \sqrt{1-2 x} (3 x+2)^2 (5 x+3)^{3/2}}-\frac{1215945 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}","\frac{707286025 \sqrt{1-2 x}}{5478396 \sqrt{5 x+3}}-\frac{7090175 \sqrt{1-2 x}}{498036 (5 x+3)^{3/2}}-\frac{8515}{7546 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{765}{196 \sqrt{1-2 x} (3 x+2) (5 x+3)^{3/2}}+\frac{3}{14 \sqrt{1-2 x} (3 x+2)^2 (5 x+3)^{3/2}}-\frac{1215945 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}",1,"-8515/(7546*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (7090175*Sqrt[1 - 2*x])/(498036*(3 + 5*x)^(3/2)) + 3/(14*Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(3/2)) + 765/(196*Sqrt[1 - 2*x]*(2 + 3*x)*(3 + 5*x)^(3/2)) + (707286025*Sqrt[1 - 2*x])/(5478396*Sqrt[3 + 5*x]) - (1215945*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1372*Sqrt[7])","A",8,6,26,0.2308,1,"{103, 151, 152, 12, 93, 204}"
2580,1,142,0,0.0445481,"\int \frac{(2+3 x)^4 \sqrt{3+5 x}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^4*Sqrt[3 + 5*x])/(1 - 2*x)^(5/2),x]","\frac{\sqrt{5 x+3} (3 x+2)^4}{3 (1-2 x)^{3/2}}-\frac{299 \sqrt{5 x+3} (3 x+2)^3}{66 \sqrt{1-2 x}}-\frac{697}{88} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2-\frac{\sqrt{1-2 x} \sqrt{5 x+3} (7306140 x+17606479)}{70400}+\frac{13246251 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{6400 \sqrt{10}}","\frac{\sqrt{5 x+3} (3 x+2)^4}{3 (1-2 x)^{3/2}}-\frac{299 \sqrt{5 x+3} (3 x+2)^3}{66 \sqrt{1-2 x}}-\frac{697}{88} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2-\frac{\sqrt{1-2 x} \sqrt{5 x+3} (7306140 x+17606479)}{70400}+\frac{13246251 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{6400 \sqrt{10}}",1,"(-697*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/88 - (299*(2 + 3*x)^3*Sqrt[3 + 5*x])/(66*Sqrt[1 - 2*x]) + ((2 + 3*x)^4*Sqrt[3 + 5*x])/(3*(1 - 2*x)^(3/2)) - (Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(17606479 + 7306140*x))/70400 + (13246251*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(6400*Sqrt[10])","A",6,6,26,0.2308,1,"{97, 150, 153, 147, 54, 216}"
2581,1,113,0,0.0299392,"\int \frac{(2+3 x)^3 \sqrt{3+5 x}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^3*Sqrt[3 + 5*x])/(1 - 2*x)^(5/2),x]","\frac{\sqrt{5 x+3} (3 x+2)^3}{3 (1-2 x)^{3/2}}-\frac{233 \sqrt{5 x+3} (3 x+2)^2}{66 \sqrt{1-2 x}}-\frac{\sqrt{1-2 x} \sqrt{5 x+3} (69780 x+168157)}{3520}+\frac{126513 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{320 \sqrt{10}}","\frac{\sqrt{5 x+3} (3 x+2)^3}{3 (1-2 x)^{3/2}}-\frac{233 \sqrt{5 x+3} (3 x+2)^2}{66 \sqrt{1-2 x}}-\frac{\sqrt{1-2 x} \sqrt{5 x+3} (69780 x+168157)}{3520}+\frac{126513 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{320 \sqrt{10}}",1,"(-233*(2 + 3*x)^2*Sqrt[3 + 5*x])/(66*Sqrt[1 - 2*x]) + ((2 + 3*x)^3*Sqrt[3 + 5*x])/(3*(1 - 2*x)^(3/2)) - (Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(168157 + 69780*x))/3520 + (126513*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(320*Sqrt[10])","A",5,5,26,0.1923,1,"{97, 150, 147, 54, 216}"
2582,1,94,0,0.0267313,"\int \frac{(2+3 x)^2 \sqrt{3+5 x}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^2*Sqrt[3 + 5*x])/(1 - 2*x)^(5/2),x]","-\frac{21 (5 x+3)^{3/2}}{11 \sqrt{1-2 x}}+\frac{49 (5 x+3)^{3/2}}{66 (1-2 x)^{3/2}}-\frac{519}{88} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{519 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{8 \sqrt{10}}","-\frac{21 (5 x+3)^{3/2}}{11 \sqrt{1-2 x}}+\frac{49 (5 x+3)^{3/2}}{66 (1-2 x)^{3/2}}-\frac{519}{88} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{519 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{8 \sqrt{10}}",1,"(-519*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/88 + (49*(3 + 5*x)^(3/2))/(66*(1 - 2*x)^(3/2)) - (21*(3 + 5*x)^(3/2))/(11*Sqrt[1 - 2*x]) + (519*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(8*Sqrt[10])","A",5,5,26,0.1923,1,"{89, 78, 50, 54, 216}"
2583,1,74,0,0.016146,"\int \frac{(2+3 x) \sqrt{3+5 x}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)*Sqrt[3 + 5*x])/(1 - 2*x)^(5/2),x]","\frac{7 (5 x+3)^{3/2}}{33 (1-2 x)^{3/2}}-\frac{3 \sqrt{5 x+3}}{2 \sqrt{1-2 x}}+\frac{3}{2} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","\frac{7 (5 x+3)^{3/2}}{33 (1-2 x)^{3/2}}-\frac{3 \sqrt{5 x+3}}{2 \sqrt{1-2 x}}+\frac{3}{2} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(-3*Sqrt[3 + 5*x])/(2*Sqrt[1 - 2*x]) + (7*(3 + 5*x)^(3/2))/(33*(1 - 2*x)^(3/2)) + (3*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/2","A",4,4,24,0.1667,1,"{78, 47, 54, 216}"
2584,1,22,0,0.0017861,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{5/2}} \, dx","Int[Sqrt[3 + 5*x]/(1 - 2*x)^(5/2),x]","\frac{2 (5 x+3)^{3/2}}{33 (1-2 x)^{3/2}}","\frac{2 (5 x+3)^{3/2}}{33 (1-2 x)^{3/2}}",1,"(2*(3 + 5*x)^(3/2))/(33*(1 - 2*x)^(3/2))","A",1,1,19,0.05263,1,"{37}"
2585,1,79,0,0.0186877,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{5/2} (2+3 x)} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(5/2)*(2 + 3*x)),x]","\frac{4 (5 x+3)^{3/2}}{231 (1-2 x)^{3/2}}+\frac{6 \sqrt{5 x+3}}{49 \sqrt{1-2 x}}+\frac{6 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}","\frac{4 (5 x+3)^{3/2}}{231 (1-2 x)^{3/2}}+\frac{6 \sqrt{5 x+3}}{49 \sqrt{1-2 x}}+\frac{6 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}",1,"(6*Sqrt[3 + 5*x])/(49*Sqrt[1 - 2*x]) + (4*(3 + 5*x)^(3/2))/(231*(1 - 2*x)^(3/2)) + (6*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(49*Sqrt[7])","A",4,4,26,0.1538,1,"{96, 94, 93, 204}"
2586,1,115,0,0.0352297,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{5/2} (2+3 x)^2} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(5/2)*(2 + 3*x)^2),x]","\frac{850 \sqrt{5 x+3}}{11319 \sqrt{1-2 x}}-\frac{5 \sqrt{5 x+3}}{49 \sqrt{1-2 x} (3 x+2)}+\frac{2 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)}-\frac{75 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{343 \sqrt{7}}","\frac{850 \sqrt{5 x+3}}{11319 \sqrt{1-2 x}}-\frac{5 \sqrt{5 x+3}}{49 \sqrt{1-2 x} (3 x+2)}+\frac{2 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)}-\frac{75 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{343 \sqrt{7}}",1,"(850*Sqrt[3 + 5*x])/(11319*Sqrt[1 - 2*x]) + (2*Sqrt[3 + 5*x])/(21*(1 - 2*x)^(3/2)*(2 + 3*x)) - (5*Sqrt[3 + 5*x])/(49*Sqrt[1 - 2*x]*(2 + 3*x)) - (75*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(343*Sqrt[7])","A",6,6,26,0.2308,1,"{99, 151, 152, 12, 93, 204}"
2587,1,144,0,0.0472859,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{5/2} (2+3 x)^3} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(5/2)*(2 + 3*x)^3),x]","\frac{415 \sqrt{5 x+3}}{22638 \sqrt{1-2 x}}+\frac{5 \sqrt{5 x+3}}{196 \sqrt{1-2 x} (3 x+2)}-\frac{\sqrt{5 x+3}}{14 \sqrt{1-2 x} (3 x+2)^2}+\frac{2 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^2}-\frac{765 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}","\frac{415 \sqrt{5 x+3}}{22638 \sqrt{1-2 x}}+\frac{5 \sqrt{5 x+3}}{196 \sqrt{1-2 x} (3 x+2)}-\frac{\sqrt{5 x+3}}{14 \sqrt{1-2 x} (3 x+2)^2}+\frac{2 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^2}-\frac{765 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}",1,"(415*Sqrt[3 + 5*x])/(22638*Sqrt[1 - 2*x]) + (2*Sqrt[3 + 5*x])/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^2) - Sqrt[3 + 5*x]/(14*Sqrt[1 - 2*x]*(2 + 3*x)^2) + (5*Sqrt[3 + 5*x])/(196*Sqrt[1 - 2*x]*(2 + 3*x)) - (765*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1372*Sqrt[7])","A",7,6,26,0.2308,1,"{99, 151, 152, 12, 93, 204}"
2588,1,173,0,0.0620954,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{5/2} (2+3 x)^4} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(5/2)*(2 + 3*x)^4),x]","-\frac{16985 \sqrt{5 x+3}}{316932 \sqrt{1-2 x}}+\frac{605 \sqrt{5 x+3}}{2744 \sqrt{1-2 x} (3 x+2)}-\frac{\sqrt{5 x+3}}{196 \sqrt{1-2 x} (3 x+2)^2}-\frac{3 \sqrt{5 x+3}}{49 \sqrt{1-2 x} (3 x+2)^3}+\frac{2 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^3}-\frac{25365 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{19208 \sqrt{7}}","-\frac{16985 \sqrt{5 x+3}}{316932 \sqrt{1-2 x}}+\frac{605 \sqrt{5 x+3}}{2744 \sqrt{1-2 x} (3 x+2)}-\frac{\sqrt{5 x+3}}{196 \sqrt{1-2 x} (3 x+2)^2}-\frac{3 \sqrt{5 x+3}}{49 \sqrt{1-2 x} (3 x+2)^3}+\frac{2 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^3}-\frac{25365 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{19208 \sqrt{7}}",1,"(-16985*Sqrt[3 + 5*x])/(316932*Sqrt[1 - 2*x]) + (2*Sqrt[3 + 5*x])/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^3) - (3*Sqrt[3 + 5*x])/(49*Sqrt[1 - 2*x]*(2 + 3*x)^3) - Sqrt[3 + 5*x]/(196*Sqrt[1 - 2*x]*(2 + 3*x)^2) + (605*Sqrt[3 + 5*x])/(2744*Sqrt[1 - 2*x]*(2 + 3*x)) - (25365*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(19208*Sqrt[7])","A",8,6,26,0.2308,1,"{99, 151, 152, 12, 93, 204}"
2589,1,164,0,0.0502907,"\int \frac{(2+3 x)^4 (3+5 x)^{3/2}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^(3/2))/(1 - 2*x)^(5/2),x]","\frac{(5 x+3)^{3/2} (3 x+2)^4}{3 (1-2 x)^{3/2}}-\frac{123 (5 x+3)^{3/2} (3 x+2)^3}{22 \sqrt{1-2 x}}-\frac{3315}{352} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^2-\frac{3 \sqrt{1-2 x} (5 x+3)^{3/2} (10798680 x+22868329)}{281600}-\frac{1626211523 \sqrt{1-2 x} \sqrt{5 x+3}}{1126400}+\frac{1626211523 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{102400 \sqrt{10}}","\frac{(5 x+3)^{3/2} (3 x+2)^4}{3 (1-2 x)^{3/2}}-\frac{123 (5 x+3)^{3/2} (3 x+2)^3}{22 \sqrt{1-2 x}}-\frac{3315}{352} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^2-\frac{3 \sqrt{1-2 x} (5 x+3)^{3/2} (10798680 x+22868329)}{281600}-\frac{1626211523 \sqrt{1-2 x} \sqrt{5 x+3}}{1126400}+\frac{1626211523 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{102400 \sqrt{10}}",1,"(-1626211523*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/1126400 - (3315*Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(3/2))/352 - (123*(2 + 3*x)^3*(3 + 5*x)^(3/2))/(22*Sqrt[1 - 2*x]) + ((2 + 3*x)^4*(3 + 5*x)^(3/2))/(3*(1 - 2*x)^(3/2)) - (3*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)*(22868329 + 10798680*x))/281600 + (1626211523*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(102400*Sqrt[10])","A",7,7,26,0.2692,1,"{97, 150, 153, 147, 50, 54, 216}"
2590,1,135,0,0.0372092,"\int \frac{(2+3 x)^3 (3+5 x)^{3/2}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^(3/2))/(1 - 2*x)^(5/2),x]","\frac{(5 x+3)^{3/2} (3 x+2)^3}{3 (1-2 x)^{3/2}}-\frac{101 (5 x+3)^{3/2} (3 x+2)^2}{22 \sqrt{1-2 x}}-\frac{3 \sqrt{1-2 x} (5 x+3)^{3/2} (28200 x+59719)}{3520}-\frac{4246733 \sqrt{1-2 x} \sqrt{5 x+3}}{14080}+\frac{4246733 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1280 \sqrt{10}}","\frac{(5 x+3)^{3/2} (3 x+2)^3}{3 (1-2 x)^{3/2}}-\frac{101 (5 x+3)^{3/2} (3 x+2)^2}{22 \sqrt{1-2 x}}-\frac{3 \sqrt{1-2 x} (5 x+3)^{3/2} (28200 x+59719)}{3520}-\frac{4246733 \sqrt{1-2 x} \sqrt{5 x+3}}{14080}+\frac{4246733 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1280 \sqrt{10}}",1,"(-4246733*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/14080 - (101*(2 + 3*x)^2*(3 + 5*x)^(3/2))/(22*Sqrt[1 - 2*x]) + ((2 + 3*x)^3*(3 + 5*x)^(3/2))/(3*(1 - 2*x)^(3/2)) - (3*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)*(59719 + 28200*x))/3520 + (4246733*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1280*Sqrt[10])","A",6,6,26,0.2308,1,"{97, 150, 147, 50, 54, 216}"
2591,1,116,0,0.0320511,"\int \frac{(2+3 x)^2 (3+5 x)^{3/2}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^(3/2))/(1 - 2*x)^(5/2),x]","-\frac{938 (5 x+3)^{5/2}}{363 \sqrt{1-2 x}}+\frac{49 (5 x+3)^{5/2}}{66 (1-2 x)^{3/2}}-\frac{40787 \sqrt{1-2 x} (5 x+3)^{3/2}}{5808}-\frac{40787}{704} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{40787 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{64 \sqrt{10}}","-\frac{938 (5 x+3)^{5/2}}{363 \sqrt{1-2 x}}+\frac{49 (5 x+3)^{5/2}}{66 (1-2 x)^{3/2}}-\frac{40787 \sqrt{1-2 x} (5 x+3)^{3/2}}{5808}-\frac{40787}{704} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{40787 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{64 \sqrt{10}}",1,"(-40787*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/704 - (40787*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/5808 + (49*(3 + 5*x)^(5/2))/(66*(1 - 2*x)^(3/2)) - (938*(3 + 5*x)^(5/2))/(363*Sqrt[1 - 2*x]) + (40787*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(64*Sqrt[10])","A",6,5,26,0.1923,1,"{89, 78, 50, 54, 216}"
2592,1,96,0,0.0214043,"\int \frac{(2+3 x) (3+5 x)^{3/2}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)*(3 + 5*x)^(3/2))/(1 - 2*x)^(5/2),x]","\frac{7 (5 x+3)^{5/2}}{33 (1-2 x)^{3/2}}-\frac{169 (5 x+3)^{3/2}}{66 \sqrt{1-2 x}}-\frac{845}{88} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{169}{8} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","\frac{7 (5 x+3)^{5/2}}{33 (1-2 x)^{3/2}}-\frac{169 (5 x+3)^{3/2}}{66 \sqrt{1-2 x}}-\frac{845}{88} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{169}{8} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(-845*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/88 - (169*(3 + 5*x)^(3/2))/(66*Sqrt[1 - 2*x]) + (7*(3 + 5*x)^(5/2))/(33*(1 - 2*x)^(3/2)) + (169*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/8","A",5,5,24,0.2083,1,"{78, 47, 50, 54, 216}"
2593,1,74,0,0.0142685,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{5/2}} \, dx","Int[(3 + 5*x)^(3/2)/(1 - 2*x)^(5/2),x]","\frac{(5 x+3)^{3/2}}{3 (1-2 x)^{3/2}}-\frac{5 \sqrt{5 x+3}}{2 \sqrt{1-2 x}}+\frac{5}{2} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","\frac{(5 x+3)^{3/2}}{3 (1-2 x)^{3/2}}-\frac{5 \sqrt{5 x+3}}{2 \sqrt{1-2 x}}+\frac{5}{2} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(-5*Sqrt[3 + 5*x])/(2*Sqrt[1 - 2*x]) + (3 + 5*x)^(3/2)/(3*(1 - 2*x)^(3/2)) + (5*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/2","A",4,3,19,0.1579,1,"{47, 54, 216}"
2594,1,79,0,0.0181559,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{5/2} (2+3 x)} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(5/2)*(2 + 3*x)),x]","\frac{2 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2}}-\frac{2 \sqrt{5 x+3}}{49 \sqrt{1-2 x}}-\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}","\frac{2 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2}}-\frac{2 \sqrt{5 x+3}}{49 \sqrt{1-2 x}}-\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}",1,"(-2*Sqrt[3 + 5*x])/(49*Sqrt[1 - 2*x]) + (2*(3 + 5*x)^(3/2))/(21*(1 - 2*x)^(3/2)) - (2*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(49*Sqrt[7])","A",4,3,26,0.1154,1,"{94, 93, 204}"
2595,1,122,0,0.0287138,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{5/2} (2+3 x)^2} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(5/2)*(2 + 3*x)^2),x]","\frac{4 (5 x+3)^{5/2}}{231 (1-2 x)^{3/2} (3 x+2)}+\frac{190 (5 x+3)^{3/2}}{1617 \sqrt{1-2 x} (3 x+2)}+\frac{95 \sqrt{1-2 x} \sqrt{5 x+3}}{3773 (3 x+2)}+\frac{95 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{343 \sqrt{7}}","\frac{4 (5 x+3)^{5/2}}{231 (1-2 x)^{3/2} (3 x+2)}+\frac{190 (5 x+3)^{3/2}}{1617 \sqrt{1-2 x} (3 x+2)}+\frac{95 \sqrt{1-2 x} \sqrt{5 x+3}}{3773 (3 x+2)}+\frac{95 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{343 \sqrt{7}}",1,"(95*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3773*(2 + 3*x)) + (190*(3 + 5*x)^(3/2))/(1617*Sqrt[1 - 2*x]*(2 + 3*x)) + (4*(3 + 5*x)^(5/2))/(231*(1 - 2*x)^(3/2)*(2 + 3*x)) + (95*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(343*Sqrt[7])","A",5,4,26,0.1538,1,"{96, 94, 93, 204}"
2596,1,144,0,0.0475858,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{5/2} (2+3 x)^3} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(5/2)*(2 + 3*x)^3),x]","\frac{5 \sqrt{5 x+3}}{42 \sqrt{1-2 x}}-\frac{5 \sqrt{5 x+3}}{28 \sqrt{1-2 x} (3 x+2)}-\frac{3 \sqrt{5 x+3}}{14 \sqrt{1-2 x} (3 x+2)^2}+\frac{11 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^2}-\frac{5 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{28 \sqrt{7}}","\frac{5 \sqrt{5 x+3}}{42 \sqrt{1-2 x}}-\frac{5 \sqrt{5 x+3}}{28 \sqrt{1-2 x} (3 x+2)}-\frac{3 \sqrt{5 x+3}}{14 \sqrt{1-2 x} (3 x+2)^2}+\frac{11 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^2}-\frac{5 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{28 \sqrt{7}}",1,"(5*Sqrt[3 + 5*x])/(42*Sqrt[1 - 2*x]) + (11*Sqrt[3 + 5*x])/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^2) - (3*Sqrt[3 + 5*x])/(14*Sqrt[1 - 2*x]*(2 + 3*x)^2) - (5*Sqrt[3 + 5*x])/(28*Sqrt[1 - 2*x]*(2 + 3*x)) - (5*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(28*Sqrt[7])","A",7,6,26,0.2308,1,"{98, 151, 152, 12, 93, 204}"
2597,1,173,0,0.0621775,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{5/2} (2+3 x)^4} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(5/2)*(2 + 3*x)^4),x]","\frac{465 \sqrt{5 x+3}}{9604 \sqrt{1-2 x}}-\frac{85 \sqrt{5 x+3}}{2744 \sqrt{1-2 x} (3 x+2)}-\frac{23 \sqrt{5 x+3}}{196 \sqrt{1-2 x} (3 x+2)^2}-\frac{32 \sqrt{5 x+3}}{147 \sqrt{1-2 x} (3 x+2)^3}+\frac{11 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^3}-\frac{9395 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{19208 \sqrt{7}}","\frac{465 \sqrt{5 x+3}}{9604 \sqrt{1-2 x}}-\frac{85 \sqrt{5 x+3}}{2744 \sqrt{1-2 x} (3 x+2)}-\frac{23 \sqrt{5 x+3}}{196 \sqrt{1-2 x} (3 x+2)^2}-\frac{32 \sqrt{5 x+3}}{147 \sqrt{1-2 x} (3 x+2)^3}+\frac{11 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^3}-\frac{9395 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{19208 \sqrt{7}}",1,"(465*Sqrt[3 + 5*x])/(9604*Sqrt[1 - 2*x]) + (11*Sqrt[3 + 5*x])/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^3) - (32*Sqrt[3 + 5*x])/(147*Sqrt[1 - 2*x]*(2 + 3*x)^3) - (23*Sqrt[3 + 5*x])/(196*Sqrt[1 - 2*x]*(2 + 3*x)^2) - (85*Sqrt[3 + 5*x])/(2744*Sqrt[1 - 2*x]*(2 + 3*x)) - (9395*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(19208*Sqrt[7])","A",8,6,26,0.2308,1,"{98, 151, 152, 12, 93, 204}"
2598,1,186,0,0.0636453,"\int \frac{(2+3 x)^4 (3+5 x)^{5/2}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^4*(3 + 5*x)^(5/2))/(1 - 2*x)^(5/2),x]","\frac{(5 x+3)^{5/2} (3 x+2)^4}{3 (1-2 x)^{3/2}}-\frac{439 (5 x+3)^{5/2} (3 x+2)^3}{66 \sqrt{1-2 x}}-\frac{4819}{440} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^2-\frac{4270537963 \sqrt{1-2 x} (5 x+3)^{3/2}}{3379200}-\frac{\sqrt{1-2 x} (5 x+3)^{5/2} (18161940 x+36714139)}{140800}-\frac{4270537963 \sqrt{1-2 x} \sqrt{5 x+3}}{409600}+\frac{46975917593 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{409600 \sqrt{10}}","\frac{(5 x+3)^{5/2} (3 x+2)^4}{3 (1-2 x)^{3/2}}-\frac{439 (5 x+3)^{5/2} (3 x+2)^3}{66 \sqrt{1-2 x}}-\frac{4819}{440} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^2-\frac{4270537963 \sqrt{1-2 x} (5 x+3)^{3/2}}{3379200}-\frac{\sqrt{1-2 x} (5 x+3)^{5/2} (18161940 x+36714139)}{140800}-\frac{4270537963 \sqrt{1-2 x} \sqrt{5 x+3}}{409600}+\frac{46975917593 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{409600 \sqrt{10}}",1,"(-4270537963*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/409600 - (4270537963*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/3379200 - (4819*Sqrt[1 - 2*x]*(2 + 3*x)^2*(3 + 5*x)^(5/2))/440 - (439*(2 + 3*x)^3*(3 + 5*x)^(5/2))/(66*Sqrt[1 - 2*x]) + ((2 + 3*x)^4*(3 + 5*x)^(5/2))/(3*(1 - 2*x)^(3/2)) - (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)*(36714139 + 18161940*x))/140800 + (46975917593*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(409600*Sqrt[10])","A",8,7,26,0.2692,1,"{97, 150, 153, 147, 50, 54, 216}"
2599,1,157,0,0.0481711,"\int \frac{(2+3 x)^3 (3+5 x)^{5/2}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^3*(3 + 5*x)^(5/2))/(1 - 2*x)^(5/2),x]","\frac{(5 x+3)^{5/2} (3 x+2)^3}{3 (1-2 x)^{3/2}}-\frac{373 (5 x+3)^{5/2} (3 x+2)^2}{66 \sqrt{1-2 x}}-\frac{9444023 \sqrt{1-2 x} (5 x+3)^{3/2}}{33792}-\frac{\sqrt{1-2 x} (5 x+3)^{5/2} (40164 x+81191)}{1408}-\frac{9444023 \sqrt{1-2 x} \sqrt{5 x+3}}{4096}+\frac{103884253 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{4096 \sqrt{10}}","\frac{(5 x+3)^{5/2} (3 x+2)^3}{3 (1-2 x)^{3/2}}-\frac{373 (5 x+3)^{5/2} (3 x+2)^2}{66 \sqrt{1-2 x}}-\frac{9444023 \sqrt{1-2 x} (5 x+3)^{3/2}}{33792}-\frac{\sqrt{1-2 x} (5 x+3)^{5/2} (40164 x+81191)}{1408}-\frac{9444023 \sqrt{1-2 x} \sqrt{5 x+3}}{4096}+\frac{103884253 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{4096 \sqrt{10}}",1,"(-9444023*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/4096 - (9444023*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/33792 - (373*(2 + 3*x)^2*(3 + 5*x)^(5/2))/(66*Sqrt[1 - 2*x]) + ((2 + 3*x)^3*(3 + 5*x)^(5/2))/(3*(1 - 2*x)^(3/2)) - (Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)*(81191 + 40164*x))/1408 + (103884253*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(4096*Sqrt[10])","A",7,6,26,0.2308,1,"{97, 150, 147, 50, 54, 216}"
2600,1,140,0,0.0403028,"\int \frac{(2+3 x)^2 (3+5 x)^{5/2}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^2*(3 + 5*x)^(5/2))/(1 - 2*x)^(5/2),x]","-\frac{1183 (5 x+3)^{7/2}}{363 \sqrt{1-2 x}}+\frac{49 (5 x+3)^{7/2}}{66 (1-2 x)^{3/2}}-\frac{24749 \sqrt{1-2 x} (5 x+3)^{5/2}}{2904}-\frac{123745 \sqrt{1-2 x} (5 x+3)^{3/2}}{2112}-\frac{123745}{256} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{272239}{256} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","-\frac{1183 (5 x+3)^{7/2}}{363 \sqrt{1-2 x}}+\frac{49 (5 x+3)^{7/2}}{66 (1-2 x)^{3/2}}-\frac{24749 \sqrt{1-2 x} (5 x+3)^{5/2}}{2904}-\frac{123745 \sqrt{1-2 x} (5 x+3)^{3/2}}{2112}-\frac{123745}{256} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{272239}{256} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(-123745*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/256 - (123745*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/2112 - (24749*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/2904 + (49*(3 + 5*x)^(7/2))/(66*(1 - 2*x)^(3/2)) - (1183*(3 + 5*x)^(7/2))/(363*Sqrt[1 - 2*x]) + (272239*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/256","A",7,5,26,0.1923,1,"{89, 78, 50, 54, 216}"
2601,1,118,0,0.0291065,"\int \frac{(2+3 x) (3+5 x)^{5/2}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)*(3 + 5*x)^(5/2))/(1 - 2*x)^(5/2),x]","\frac{7 (5 x+3)^{7/2}}{33 (1-2 x)^{3/2}}-\frac{239 (5 x+3)^{5/2}}{66 \sqrt{1-2 x}}-\frac{5975}{528} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{5975}{64} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{13145}{64} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","\frac{7 (5 x+3)^{7/2}}{33 (1-2 x)^{3/2}}-\frac{239 (5 x+3)^{5/2}}{66 \sqrt{1-2 x}}-\frac{5975}{528} \sqrt{1-2 x} (5 x+3)^{3/2}-\frac{5975}{64} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{13145}{64} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(-5975*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/64 - (5975*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/528 - (239*(3 + 5*x)^(5/2))/(66*Sqrt[1 - 2*x]) + (7*(3 + 5*x)^(7/2))/(33*(1 - 2*x)^(3/2)) + (13145*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/64","A",6,5,24,0.2083,1,"{78, 47, 50, 54, 216}"
2602,1,96,0,0.0208511,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{5/2}} \, dx","Int[(3 + 5*x)^(5/2)/(1 - 2*x)^(5/2),x]","\frac{(5 x+3)^{5/2}}{3 (1-2 x)^{3/2}}-\frac{25 (5 x+3)^{3/2}}{6 \sqrt{1-2 x}}-\frac{125}{8} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{275}{8} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)","\frac{(5 x+3)^{5/2}}{3 (1-2 x)^{3/2}}-\frac{25 (5 x+3)^{3/2}}{6 \sqrt{1-2 x}}-\frac{125}{8} \sqrt{1-2 x} \sqrt{5 x+3}+\frac{275}{8} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)",1,"(-125*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/8 - (25*(3 + 5*x)^(3/2))/(6*Sqrt[1 - 2*x]) + (3 + 5*x)^(5/2)/(3*(1 - 2*x)^(3/2)) + (275*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/8","A",5,4,19,0.2105,1,"{47, 50, 54, 216}"
2603,1,108,0,0.0400216,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{5/2} (2+3 x)} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(5/2)*(2 + 3*x)),x]","\frac{11 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2}}-\frac{407 \sqrt{5 x+3}}{98 \sqrt{1-2 x}}+\frac{25}{6} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{147 \sqrt{7}}","\frac{11 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2}}-\frac{407 \sqrt{5 x+3}}{98 \sqrt{1-2 x}}+\frac{25}{6} \sqrt{\frac{5}{2}} \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)+\frac{2 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{147 \sqrt{7}}",1,"(-407*Sqrt[3 + 5*x])/(98*Sqrt[1 - 2*x]) + (11*(3 + 5*x)^(3/2))/(21*(1 - 2*x)^(3/2)) + (25*Sqrt[5/2]*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/6 + (2*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(147*Sqrt[7])","A",7,7,26,0.2692,1,"{98, 150, 157, 54, 216, 93, 204}"
2604,1,122,0,0.0285955,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{5/2} (2+3 x)^2} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(5/2)*(2 + 3*x)^2),x]","\frac{2 (5 x+3)^{5/2}}{21 (1-2 x)^{3/2} (3 x+2)}-\frac{10 (5 x+3)^{3/2}}{147 \sqrt{1-2 x} (3 x+2)}-\frac{5 \sqrt{1-2 x} \sqrt{5 x+3}}{343 (3 x+2)}-\frac{55 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{343 \sqrt{7}}","\frac{2 (5 x+3)^{5/2}}{21 (1-2 x)^{3/2} (3 x+2)}-\frac{10 (5 x+3)^{3/2}}{147 \sqrt{1-2 x} (3 x+2)}-\frac{5 \sqrt{1-2 x} \sqrt{5 x+3}}{343 (3 x+2)}-\frac{55 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{343 \sqrt{7}}",1,"(-5*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(343*(2 + 3*x)) - (10*(3 + 5*x)^(3/2))/(147*Sqrt[1 - 2*x]*(2 + 3*x)) + (2*(3 + 5*x)^(5/2))/(21*(1 - 2*x)^(3/2)*(2 + 3*x)) - (55*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(343*Sqrt[7])","A",5,3,26,0.1154,1,"{94, 93, 204}"
2605,1,151,0,0.0385597,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{5/2} (2+3 x)^3} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(5/2)*(2 + 3*x)^3),x]","\frac{4 (5 x+3)^{7/2}}{231 (1-2 x)^{3/2} (3 x+2)^2}+\frac{26 (5 x+3)^{5/2}}{231 \sqrt{1-2 x} (3 x+2)^2}+\frac{65 \sqrt{1-2 x} (5 x+3)^{3/2}}{3234 (3 x+2)^2}+\frac{65 \sqrt{1-2 x} \sqrt{5 x+3}}{1372 (3 x+2)}+\frac{715 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}","\frac{4 (5 x+3)^{7/2}}{231 (1-2 x)^{3/2} (3 x+2)^2}+\frac{26 (5 x+3)^{5/2}}{231 \sqrt{1-2 x} (3 x+2)^2}+\frac{65 \sqrt{1-2 x} (5 x+3)^{3/2}}{3234 (3 x+2)^2}+\frac{65 \sqrt{1-2 x} \sqrt{5 x+3}}{1372 (3 x+2)}+\frac{715 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}",1,"(65*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1372*(2 + 3*x)) + (65*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(3234*(2 + 3*x)^2) + (26*(3 + 5*x)^(5/2))/(231*Sqrt[1 - 2*x]*(2 + 3*x)^2) + (4*(3 + 5*x)^(7/2))/(231*(1 - 2*x)^(3/2)*(2 + 3*x)^2) + (715*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1372*Sqrt[7])","A",6,4,26,0.1538,1,"{96, 94, 93, 204}"
2606,1,173,0,0.0615776,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{5/2} (2+3 x)^4} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(5/2)*(2 + 3*x)^4),x]","\frac{11 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2} (3 x+2)^3}+\frac{15755 \sqrt{5 x+3}}{86436 \sqrt{1-2 x}}-\frac{2365 \sqrt{5 x+3}}{8232 \sqrt{1-2 x} (3 x+2)}-\frac{187 \sqrt{5 x+3}}{588 \sqrt{1-2 x} (3 x+2)^2}+\frac{32 \sqrt{5 x+3}}{441 \sqrt{1-2 x} (3 x+2)^3}-\frac{2585 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{19208 \sqrt{7}}","\frac{11 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2} (3 x+2)^3}+\frac{15755 \sqrt{5 x+3}}{86436 \sqrt{1-2 x}}-\frac{2365 \sqrt{5 x+3}}{8232 \sqrt{1-2 x} (3 x+2)}-\frac{187 \sqrt{5 x+3}}{588 \sqrt{1-2 x} (3 x+2)^2}+\frac{32 \sqrt{5 x+3}}{441 \sqrt{1-2 x} (3 x+2)^3}-\frac{2585 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{19208 \sqrt{7}}",1,"(15755*Sqrt[3 + 5*x])/(86436*Sqrt[1 - 2*x]) + (32*Sqrt[3 + 5*x])/(441*Sqrt[1 - 2*x]*(2 + 3*x)^3) - (187*Sqrt[3 + 5*x])/(588*Sqrt[1 - 2*x]*(2 + 3*x)^2) - (2365*Sqrt[3 + 5*x])/(8232*Sqrt[1 - 2*x]*(2 + 3*x)) + (11*(3 + 5*x)^(3/2))/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^3) - (2585*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(19208*Sqrt[7])","A",8,7,26,0.2692,1,"{98, 149, 151, 152, 12, 93, 204}"
2607,1,202,0,0.0775794,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{5/2} (2+3 x)^5} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(5/2)*(2 + 3*x)^5),x]","\frac{11 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2} (3 x+2)^4}+\frac{139745 \sqrt{5 x+3}}{1613472 \sqrt{1-2 x}}-\frac{14135 \sqrt{5 x+3}}{153664 \sqrt{1-2 x} (3 x+2)}-\frac{2013 \sqrt{5 x+3}}{10976 \sqrt{1-2 x} (3 x+2)^2}-\frac{2717 \sqrt{5 x+3}}{8232 \sqrt{1-2 x} (3 x+2)^3}+\frac{43 \sqrt{5 x+3}}{588 \sqrt{1-2 x} (3 x+2)^4}-\frac{547745 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1075648 \sqrt{7}}","\frac{11 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2} (3 x+2)^4}+\frac{139745 \sqrt{5 x+3}}{1613472 \sqrt{1-2 x}}-\frac{14135 \sqrt{5 x+3}}{153664 \sqrt{1-2 x} (3 x+2)}-\frac{2013 \sqrt{5 x+3}}{10976 \sqrt{1-2 x} (3 x+2)^2}-\frac{2717 \sqrt{5 x+3}}{8232 \sqrt{1-2 x} (3 x+2)^3}+\frac{43 \sqrt{5 x+3}}{588 \sqrt{1-2 x} (3 x+2)^4}-\frac{547745 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1075648 \sqrt{7}}",1,"(139745*Sqrt[3 + 5*x])/(1613472*Sqrt[1 - 2*x]) + (43*Sqrt[3 + 5*x])/(588*Sqrt[1 - 2*x]*(2 + 3*x)^4) - (2717*Sqrt[3 + 5*x])/(8232*Sqrt[1 - 2*x]*(2 + 3*x)^3) - (2013*Sqrt[3 + 5*x])/(10976*Sqrt[1 - 2*x]*(2 + 3*x)^2) - (14135*Sqrt[3 + 5*x])/(153664*Sqrt[1 - 2*x]*(2 + 3*x)) + (11*(3 + 5*x)^(3/2))/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^4) - (547745*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1075648*Sqrt[7])","A",9,7,26,0.2692,1,"{98, 149, 151, 152, 12, 93, 204}"
2608,1,142,0,0.0424436,"\int \frac{(2+3 x)^5}{(1-2 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (3 x+2)^4}{33 (1-2 x)^{3/2}}-\frac{2051 \sqrt{5 x+3} (3 x+2)^3}{726 \sqrt{1-2 x}}-\frac{23909 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2}{4840}-\frac{\sqrt{1-2 x} \sqrt{5 x+3} (50124540 x+120791143)}{774400}+\frac{8261577 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{6400 \sqrt{10}}","\frac{7 \sqrt{5 x+3} (3 x+2)^4}{33 (1-2 x)^{3/2}}-\frac{2051 \sqrt{5 x+3} (3 x+2)^3}{726 \sqrt{1-2 x}}-\frac{23909 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^2}{4840}-\frac{\sqrt{1-2 x} \sqrt{5 x+3} (50124540 x+120791143)}{774400}+\frac{8261577 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{6400 \sqrt{10}}",1,"(-23909*Sqrt[1 - 2*x]*(2 + 3*x)^2*Sqrt[3 + 5*x])/4840 - (2051*(2 + 3*x)^3*Sqrt[3 + 5*x])/(726*Sqrt[1 - 2*x]) + (7*(2 + 3*x)^4*Sqrt[3 + 5*x])/(33*(1 - 2*x)^(3/2)) - (Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(120791143 + 50124540*x))/774400 + (8261577*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(6400*Sqrt[10])","A",6,6,26,0.2308,1,"{98, 150, 153, 147, 54, 216}"
2609,1,113,0,0.0290464,"\int \frac{(2+3 x)^4}{(1-2 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (3 x+2)^3}{33 (1-2 x)^{3/2}}-\frac{1589 \sqrt{5 x+3} (3 x+2)^2}{726 \sqrt{1-2 x}}-\frac{\sqrt{1-2 x} \sqrt{5 x+3} (2380020 x+5735477)}{193600}+\frac{392283 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1600 \sqrt{10}}","\frac{7 \sqrt{5 x+3} (3 x+2)^3}{33 (1-2 x)^{3/2}}-\frac{1589 \sqrt{5 x+3} (3 x+2)^2}{726 \sqrt{1-2 x}}-\frac{\sqrt{1-2 x} \sqrt{5 x+3} (2380020 x+5735477)}{193600}+\frac{392283 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1600 \sqrt{10}}",1,"(-1589*(2 + 3*x)^2*Sqrt[3 + 5*x])/(726*Sqrt[1 - 2*x]) + (7*(2 + 3*x)^3*Sqrt[3 + 5*x])/(33*(1 - 2*x)^(3/2)) - (Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(5735477 + 2380020*x))/193600 + (392283*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1600*Sqrt[10])","A",5,5,26,0.1923,1,"{98, 150, 147, 54, 216}"
2610,1,84,0,0.0204362,"\int \frac{(2+3 x)^3}{(1-2 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (3 x+2)^2}{33 (1-2 x)^{3/2}}-\frac{(95621-33462 x) \sqrt{5 x+3}}{14520 \sqrt{1-2 x}}+\frac{1593 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{40 \sqrt{10}}","\frac{7 \sqrt{5 x+3} (3 x+2)^2}{33 (1-2 x)^{3/2}}-\frac{(95621-33462 x) \sqrt{5 x+3}}{14520 \sqrt{1-2 x}}+\frac{1593 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{40 \sqrt{10}}",1,"-((95621 - 33462*x)*Sqrt[3 + 5*x])/(14520*Sqrt[1 - 2*x]) + (7*(2 + 3*x)^2*Sqrt[3 + 5*x])/(33*(1 - 2*x)^(3/2)) + (1593*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(40*Sqrt[10])","A",4,4,26,0.1538,1,"{98, 143, 54, 216}"
2611,1,72,0,0.0160642,"\int \frac{(2+3 x)^2}{(1-2 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^(5/2)*Sqrt[3 + 5*x]),x]","-\frac{448 \sqrt{5 x+3}}{363 \sqrt{1-2 x}}+\frac{49 \sqrt{5 x+3}}{66 (1-2 x)^{3/2}}+\frac{9 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2 \sqrt{10}}","-\frac{448 \sqrt{5 x+3}}{363 \sqrt{1-2 x}}+\frac{49 \sqrt{5 x+3}}{66 (1-2 x)^{3/2}}+\frac{9 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{2 \sqrt{10}}",1,"(49*Sqrt[3 + 5*x])/(66*(1 - 2*x)^(3/2)) - (448*Sqrt[3 + 5*x])/(363*Sqrt[1 - 2*x]) + (9*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(2*Sqrt[10])","A",4,4,26,0.1538,1,"{89, 78, 54, 216}"
2612,1,45,0,0.0053075,"\int \frac{2+3 x}{(1-2 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)/((1 - 2*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3}}{33 (1-2 x)^{3/2}}-\frac{29 \sqrt{5 x+3}}{363 \sqrt{1-2 x}}","\frac{7 \sqrt{5 x+3}}{33 (1-2 x)^{3/2}}-\frac{29 \sqrt{5 x+3}}{363 \sqrt{1-2 x}}",1,"(7*Sqrt[3 + 5*x])/(33*(1 - 2*x)^(3/2)) - (29*Sqrt[3 + 5*x])/(363*Sqrt[1 - 2*x])","A",2,2,24,0.08333,1,"{78, 37}"
2613,1,45,0,0.0049057,"\int \frac{1}{(1-2 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{20 \sqrt{5 x+3}}{363 \sqrt{1-2 x}}+\frac{2 \sqrt{5 x+3}}{33 (1-2 x)^{3/2}}","\frac{20 \sqrt{5 x+3}}{363 \sqrt{1-2 x}}+\frac{2 \sqrt{5 x+3}}{33 (1-2 x)^{3/2}}",1,"(2*Sqrt[3 + 5*x])/(33*(1 - 2*x)^(3/2)) + (20*Sqrt[3 + 5*x])/(363*Sqrt[1 - 2*x])","A",2,2,19,0.1053,1,"{45, 37}"
2614,1,79,0,0.0258861,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x) \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)*Sqrt[3 + 5*x]),x]","\frac{676 \sqrt{5 x+3}}{17787 \sqrt{1-2 x}}+\frac{4 \sqrt{5 x+3}}{231 (1-2 x)^{3/2}}-\frac{18 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}","\frac{676 \sqrt{5 x+3}}{17787 \sqrt{1-2 x}}+\frac{4 \sqrt{5 x+3}}{231 (1-2 x)^{3/2}}-\frac{18 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}",1,"(4*Sqrt[3 + 5*x])/(231*(1 - 2*x)^(3/2)) + (676*Sqrt[3 + 5*x])/(17787*Sqrt[1 - 2*x]) - (18*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(49*Sqrt[7])","A",5,5,26,0.1923,1,"{104, 152, 12, 93, 204}"
2615,1,108,0,0.0343168,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^2 \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^2*Sqrt[3 + 5*x]),x]","-\frac{4390 \sqrt{5 x+3}}{124509 \sqrt{1-2 x}}+\frac{3 \sqrt{5 x+3}}{7 (1-2 x)^{3/2} (3 x+2)}-\frac{190 \sqrt{5 x+3}}{1617 (1-2 x)^{3/2}}-\frac{405 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{343 \sqrt{7}}","-\frac{4390 \sqrt{5 x+3}}{124509 \sqrt{1-2 x}}+\frac{3 \sqrt{5 x+3}}{7 (1-2 x)^{3/2} (3 x+2)}-\frac{190 \sqrt{5 x+3}}{1617 (1-2 x)^{3/2}}-\frac{405 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{343 \sqrt{7}}",1,"(-190*Sqrt[3 + 5*x])/(1617*(1 - 2*x)^(3/2)) - (4390*Sqrt[3 + 5*x])/(124509*Sqrt[1 - 2*x]) + (3*Sqrt[3 + 5*x])/(7*(1 - 2*x)^(3/2)*(2 + 3*x)) - (405*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(343*Sqrt[7])","A",6,5,26,0.1923,1,"{103, 152, 12, 93, 204}"
2616,1,137,0,0.0447339,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^3 \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^3*Sqrt[3 + 5*x]),x]","-\frac{57595 \sqrt{5 x+3}}{249018 \sqrt{1-2 x}}+\frac{51 \sqrt{5 x+3}}{28 (1-2 x)^{3/2} (3 x+2)}-\frac{1735 \sqrt{5 x+3}}{3234 (1-2 x)^{3/2}}+\frac{3 \sqrt{5 x+3}}{14 (1-2 x)^{3/2} (3 x+2)^2}-\frac{5805 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}","-\frac{57595 \sqrt{5 x+3}}{249018 \sqrt{1-2 x}}+\frac{51 \sqrt{5 x+3}}{28 (1-2 x)^{3/2} (3 x+2)}-\frac{1735 \sqrt{5 x+3}}{3234 (1-2 x)^{3/2}}+\frac{3 \sqrt{5 x+3}}{14 (1-2 x)^{3/2} (3 x+2)^2}-\frac{5805 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}",1,"(-1735*Sqrt[3 + 5*x])/(3234*(1 - 2*x)^(3/2)) - (57595*Sqrt[3 + 5*x])/(249018*Sqrt[1 - 2*x]) + (3*Sqrt[3 + 5*x])/(14*(1 - 2*x)^(3/2)*(2 + 3*x)^2) + (51*Sqrt[3 + 5*x])/(28*(1 - 2*x)^(3/2)*(2 + 3*x)) - (5805*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1372*Sqrt[7])","A",7,6,26,0.2308,1,"{103, 151, 152, 12, 93, 204}"
2617,1,166,0,0.0598795,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^4 \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^4*Sqrt[3 + 5*x]),x]","-\frac{3471145 \sqrt{5 x+3}}{3486252 \sqrt{1-2 x}}+\frac{423 \sqrt{5 x+3}}{56 (1-2 x)^{3/2} (3 x+2)}-\frac{101485 \sqrt{5 x+3}}{45276 (1-2 x)^{3/2}}+\frac{193 \sqrt{5 x+3}}{196 (1-2 x)^{3/2} (3 x+2)^2}+\frac{\sqrt{5 x+3}}{7 (1-2 x)^{3/2} (3 x+2)^3}-\frac{330255 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{19208 \sqrt{7}}","-\frac{3471145 \sqrt{5 x+3}}{3486252 \sqrt{1-2 x}}+\frac{423 \sqrt{5 x+3}}{56 (1-2 x)^{3/2} (3 x+2)}-\frac{101485 \sqrt{5 x+3}}{45276 (1-2 x)^{3/2}}+\frac{193 \sqrt{5 x+3}}{196 (1-2 x)^{3/2} (3 x+2)^2}+\frac{\sqrt{5 x+3}}{7 (1-2 x)^{3/2} (3 x+2)^3}-\frac{330255 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{19208 \sqrt{7}}",1,"(-101485*Sqrt[3 + 5*x])/(45276*(1 - 2*x)^(3/2)) - (3471145*Sqrt[3 + 5*x])/(3486252*Sqrt[1 - 2*x]) + Sqrt[3 + 5*x]/(7*(1 - 2*x)^(3/2)*(2 + 3*x)^3) + (193*Sqrt[3 + 5*x])/(196*(1 - 2*x)^(3/2)*(2 + 3*x)^2) + (423*Sqrt[3 + 5*x])/(56*(1 - 2*x)^(3/2)*(2 + 3*x)) - (330255*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(19208*Sqrt[7])","A",8,6,26,0.2308,1,"{103, 151, 152, 12, 93, 204}"
2618,1,142,0,0.0425497,"\int \frac{(2+3 x)^5}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2)),x]","\frac{7 (3 x+2)^4}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{1561 (3 x+2)^3}{726 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{7723 \sqrt{1-2 x} (3 x+2)^2}{39930 \sqrt{5 x+3}}-\frac{\sqrt{1-2 x} \sqrt{5 x+3} (16227780 x+39109961)}{2129600}+\frac{243189 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1600 \sqrt{10}}","\frac{7 (3 x+2)^4}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{1561 (3 x+2)^3}{726 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{7723 \sqrt{1-2 x} (3 x+2)^2}{39930 \sqrt{5 x+3}}-\frac{\sqrt{1-2 x} \sqrt{5 x+3} (16227780 x+39109961)}{2129600}+\frac{243189 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{1600 \sqrt{10}}",1,"(7723*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(39930*Sqrt[3 + 5*x]) - (1561*(2 + 3*x)^3)/(726*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) + (7*(2 + 3*x)^4)/(33*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) - (Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(39109961 + 16227780*x))/2129600 + (243189*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(1600*Sqrt[10])","A",6,5,26,0.1923,1,"{98, 150, 147, 54, 216}"
2619,1,113,0,0.0290192,"\int \frac{(2+3 x)^4}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2)),x]","\frac{7 (3 x+2)^3}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{1099 (3 x+2)^2}{726 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{\sqrt{1-2 x} (8200665 x+4898747)}{798600 \sqrt{5 x+3}}+\frac{4887 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{200 \sqrt{10}}","\frac{7 (3 x+2)^3}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{1099 (3 x+2)^2}{726 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{\sqrt{1-2 x} (8200665 x+4898747)}{798600 \sqrt{5 x+3}}+\frac{4887 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{200 \sqrt{10}}",1,"(-1099*(2 + 3*x)^2)/(726*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) + (7*(2 + 3*x)^3)/(33*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) - (Sqrt[1 - 2*x]*(4898747 + 8200665*x))/(798600*Sqrt[3 + 5*x]) + (4887*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(200*Sqrt[10])","A",5,5,26,0.1923,1,"{98, 150, 143, 54, 216}"
2620,1,84,0,0.019763,"\int \frac{(2+3 x)^3}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2)),x]","\frac{7 (3 x+2)^2}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{111311 x+66967}{39930 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{27 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{10 \sqrt{10}}","\frac{7 (3 x+2)^2}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{111311 x+66967}{39930 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{27 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{10 \sqrt{10}}",1,"(7*(2 + 3*x)^2)/(33*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) - (66967 + 111311*x)/(39930*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) + (27*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(10*Sqrt[10])","A",4,4,26,0.1538,1,"{98, 144, 54, 216}"
2621,1,67,0,0.0106637,"\int \frac{(2+3 x)^2}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2)),x]","-\frac{793 \sqrt{5 x+3}}{19965 \sqrt{1-2 x}}-\frac{1237}{3630 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{49}{66 (1-2 x)^{3/2} \sqrt{5 x+3}}","-\frac{793 \sqrt{5 x+3}}{19965 \sqrt{1-2 x}}-\frac{1237}{3630 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{49}{66 (1-2 x)^{3/2} \sqrt{5 x+3}}",1,"49/(66*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) - 1237/(3630*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (793*Sqrt[3 + 5*x])/(19965*Sqrt[1 - 2*x])","A",3,3,26,0.1154,1,"{89, 78, 37}"
2622,1,67,0,0.0106567,"\int \frac{2+3 x}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)/((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2)),x]","\frac{164 \sqrt{5 x+3}}{3993 \sqrt{1-2 x}}+\frac{82 \sqrt{5 x+3}}{1815 (1-2 x)^{3/2}}-\frac{2}{55 (1-2 x)^{3/2} \sqrt{5 x+3}}","\frac{164 \sqrt{5 x+3}}{3993 \sqrt{1-2 x}}+\frac{82 \sqrt{5 x+3}}{1815 (1-2 x)^{3/2}}-\frac{2}{55 (1-2 x)^{3/2} \sqrt{5 x+3}}",1,"-2/(55*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) + (82*Sqrt[3 + 5*x])/(1815*(1 - 2*x)^(3/2)) + (164*Sqrt[3 + 5*x])/(3993*Sqrt[1 - 2*x])","A",3,3,24,0.1250,1,"{78, 45, 37}"
2623,1,67,0,0.0099669,"\int \frac{1}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2)),x]","-\frac{400 \sqrt{1-2 x}}{3993 \sqrt{5 x+3}}+\frac{40}{363 \sqrt{5 x+3} \sqrt{1-2 x}}+\frac{2}{33 \sqrt{5 x+3} (1-2 x)^{3/2}}","-\frac{400 \sqrt{1-2 x}}{3993 \sqrt{5 x+3}}+\frac{40}{363 \sqrt{5 x+3} \sqrt{1-2 x}}+\frac{2}{33 \sqrt{5 x+3} (1-2 x)^{3/2}}",1,"2/(33*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) + 40/(363*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (400*Sqrt[1 - 2*x])/(3993*Sqrt[3 + 5*x])","A",3,2,19,0.1053,1,"{45, 37}"
2624,1,101,0,0.0350421,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x) (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)*(3 + 5*x)^(3/2)),x]","-\frac{42230 \sqrt{1-2 x}}{195657 \sqrt{5 x+3}}+\frac{956}{17787 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{4}{231 (1-2 x)^{3/2} \sqrt{5 x+3}}+\frac{54 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}","-\frac{42230 \sqrt{1-2 x}}{195657 \sqrt{5 x+3}}+\frac{956}{17787 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{4}{231 (1-2 x)^{3/2} \sqrt{5 x+3}}+\frac{54 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}",1,"4/(231*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) + 956/(17787*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (42230*Sqrt[1 - 2*x])/(195657*Sqrt[3 + 5*x]) + (54*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(49*Sqrt[7])","A",6,5,26,0.1923,1,"{104, 152, 12, 93, 204}"
2625,1,130,0,0.0463678,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^2 (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^2*(3 + 5*x)^(3/2)),x]","-\frac{1840225 \sqrt{1-2 x}}{1369599 \sqrt{5 x+3}}-\frac{3830}{124509 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{3}{7 (1-2 x)^{3/2} (3 x+2) \sqrt{5 x+3}}-\frac{190}{1617 (1-2 x)^{3/2} \sqrt{5 x+3}}+\frac{3105 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{343 \sqrt{7}}","-\frac{1840225 \sqrt{1-2 x}}{1369599 \sqrt{5 x+3}}-\frac{3830}{124509 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{3}{7 (1-2 x)^{3/2} (3 x+2) \sqrt{5 x+3}}-\frac{190}{1617 (1-2 x)^{3/2} \sqrt{5 x+3}}+\frac{3105 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{343 \sqrt{7}}",1,"-190/(1617*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) - 3830/(124509*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (1840225*Sqrt[1 - 2*x])/(1369599*Sqrt[3 + 5*x]) + 3/(7*(1 - 2*x)^(3/2)*(2 + 3*x)*Sqrt[3 + 5*x]) + (3105*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(343*Sqrt[7])","A",7,5,26,0.1923,1,"{103, 152, 12, 93, 204}"
2626,1,159,0,0.0602733,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^3 (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^3*(3 + 5*x)^(3/2)),x]","-\frac{46307675 \sqrt{1-2 x}}{5478396 \sqrt{5 x+3}}-\frac{89945}{249018 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{81}{28 (1-2 x)^{3/2} (3 x+2) \sqrt{5 x+3}}-\frac{2725}{3234 (1-2 x)^{3/2} \sqrt{5 x+3}}+\frac{3}{14 (1-2 x)^{3/2} (3 x+2)^2 \sqrt{5 x+3}}+\frac{79515 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}","-\frac{46307675 \sqrt{1-2 x}}{5478396 \sqrt{5 x+3}}-\frac{89945}{249018 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{81}{28 (1-2 x)^{3/2} (3 x+2) \sqrt{5 x+3}}-\frac{2725}{3234 (1-2 x)^{3/2} \sqrt{5 x+3}}+\frac{3}{14 (1-2 x)^{3/2} (3 x+2)^2 \sqrt{5 x+3}}+\frac{79515 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}",1,"-2725/(3234*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) - 89945/(249018*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (46307675*Sqrt[1 - 2*x])/(5478396*Sqrt[3 + 5*x]) + 3/(14*(1 - 2*x)^(3/2)*(2 + 3*x)^2*Sqrt[3 + 5*x]) + 81/(28*(1 - 2*x)^(3/2)*(2 + 3*x)*Sqrt[3 + 5*x]) + (79515*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1372*Sqrt[7])","A",8,6,26,0.2308,1,"{103, 151, 152, 12, 93, 204}"
2627,1,171,0,0.0573238,"\int \frac{(2+3 x)^6}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^6/((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^5}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{511 (3 x+2)^4}{242 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{7591 \sqrt{1-2 x} (3 x+2)^3}{39930 (5 x+3)^{3/2}}+\frac{261331 \sqrt{1-2 x} (3 x+2)^2}{2196150 \sqrt{5 x+3}}-\frac{7 \sqrt{1-2 x} \sqrt{5 x+3} (78981180 x+190406711)}{117128000}+\frac{753543 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{8000 \sqrt{10}}","\frac{7 (3 x+2)^5}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{511 (3 x+2)^4}{242 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{7591 \sqrt{1-2 x} (3 x+2)^3}{39930 (5 x+3)^{3/2}}+\frac{261331 \sqrt{1-2 x} (3 x+2)^2}{2196150 \sqrt{5 x+3}}-\frac{7 \sqrt{1-2 x} \sqrt{5 x+3} (78981180 x+190406711)}{117128000}+\frac{753543 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{8000 \sqrt{10}}",1,"(7591*Sqrt[1 - 2*x]*(2 + 3*x)^3)/(39930*(3 + 5*x)^(3/2)) - (511*(2 + 3*x)^4)/(242*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) + (7*(2 + 3*x)^5)/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) + (261331*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(2196150*Sqrt[3 + 5*x]) - (7*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]*(190406711 + 78981180*x))/117128000 + (753543*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(8000*Sqrt[10])","A",7,5,26,0.1923,1,"{98, 150, 147, 54, 216}"
2628,1,142,0,0.0407032,"\int \frac{(2+3 x)^5}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^5/((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^4}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{357 (3 x+2)^3}{242 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{5281 \sqrt{1-2 x} (3 x+2)^2}{39930 (5 x+3)^{3/2}}-\frac{\sqrt{1-2 x} (55300905 x+33035947)}{8784600 \sqrt{5 x+3}}+\frac{2997 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{200 \sqrt{10}}","\frac{7 (3 x+2)^4}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{357 (3 x+2)^3}{242 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{5281 \sqrt{1-2 x} (3 x+2)^2}{39930 (5 x+3)^{3/2}}-\frac{\sqrt{1-2 x} (55300905 x+33035947)}{8784600 \sqrt{5 x+3}}+\frac{2997 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{200 \sqrt{10}}",1,"(5281*Sqrt[1 - 2*x]*(2 + 3*x)^2)/(39930*(3 + 5*x)^(3/2)) - (357*(2 + 3*x)^3)/(242*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) + (7*(2 + 3*x)^4)/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) - (Sqrt[1 - 2*x]*(33035947 + 55300905*x))/(8784600*Sqrt[3 + 5*x]) + (2997*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(200*Sqrt[10])","A",6,5,26,0.1923,1,"{98, 150, 143, 54, 216}"
2629,1,113,0,0.0305552,"\int \frac{(2+3 x)^4}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^4/((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^3}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{203 (3 x+2)^2}{242 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{\sqrt{1-2 x} (991010 x+627287)}{2196150 (5 x+3)^{3/2}}+\frac{81 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{50 \sqrt{10}}","\frac{7 (3 x+2)^3}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{203 (3 x+2)^2}{242 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{\sqrt{1-2 x} (991010 x+627287)}{2196150 (5 x+3)^{3/2}}+\frac{81 \sin ^{-1}\left(\sqrt{\frac{2}{11}} \sqrt{5 x+3}\right)}{50 \sqrt{10}}",1,"(-203*(2 + 3*x)^2)/(242*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) + (7*(2 + 3*x)^3)/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) + (Sqrt[1 - 2*x]*(627287 + 991010*x))/(2196150*(3 + 5*x)^(3/2)) + (81*ArcSin[Sqrt[2/11]*Sqrt[3 + 5*x]])/(50*Sqrt[10])","A",5,5,26,0.1923,1,"{98, 150, 145, 54, 216}"
2630,1,96,0,0.0178367,"\int \frac{(2+3 x)^3}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^3/((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{2 (3 x+2)^3}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{8182 \sqrt{1-2 x}}{219615 \sqrt{5 x+3}}-\frac{3679 \sqrt{1-2 x}}{19965 (5 x+3)^{3/2}}+\frac{49}{121 \sqrt{1-2 x} (5 x+3)^{3/2}}","\frac{2 (3 x+2)^3}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{8182 \sqrt{1-2 x}}{219615 \sqrt{5 x+3}}-\frac{3679 \sqrt{1-2 x}}{19965 (5 x+3)^{3/2}}+\frac{49}{121 \sqrt{1-2 x} (5 x+3)^{3/2}}",1,"49/(121*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (3679*Sqrt[1 - 2*x])/(19965*(3 + 5*x)^(3/2)) + (2*(2 + 3*x)^3)/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) - (8182*Sqrt[1 - 2*x])/(219615*Sqrt[3 + 5*x])","A",4,4,26,0.1538,1,"{94, 89, 78, 37}"
2631,1,89,0,0.0169524,"\int \frac{(2+3 x)^2}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^2/((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)),x]","-\frac{3298 \sqrt{1-2 x}}{43923 \sqrt{5 x+3}}-\frac{1649 \sqrt{1-2 x}}{7986 (5 x+3)^{3/2}}+\frac{14}{121 (5 x+3)^{3/2} \sqrt{1-2 x}}+\frac{49}{66 (5 x+3)^{3/2} (1-2 x)^{3/2}}","-\frac{3298 \sqrt{1-2 x}}{43923 \sqrt{5 x+3}}-\frac{1649 \sqrt{1-2 x}}{7986 (5 x+3)^{3/2}}+\frac{14}{121 (5 x+3)^{3/2} \sqrt{1-2 x}}+\frac{49}{66 (5 x+3)^{3/2} (1-2 x)^{3/2}}",1,"49/(66*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) + 14/(121*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (1649*Sqrt[1 - 2*x])/(7986*(3 + 5*x)^(3/2)) - (3298*Sqrt[1 - 2*x])/(43923*Sqrt[3 + 5*x])","A",4,4,26,0.1538,1,"{89, 78, 45, 37}"
2632,1,89,0,0.015575,"\int \frac{2+3 x}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)/((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)),x]","-\frac{2960 \sqrt{1-2 x}}{43923 \sqrt{5 x+3}}+\frac{296}{3993 \sqrt{5 x+3} \sqrt{1-2 x}}+\frac{74}{1815 \sqrt{5 x+3} (1-2 x)^{3/2}}-\frac{2}{165 (5 x+3)^{3/2} (1-2 x)^{3/2}}","-\frac{2960 \sqrt{1-2 x}}{43923 \sqrt{5 x+3}}+\frac{296}{3993 \sqrt{5 x+3} \sqrt{1-2 x}}+\frac{74}{1815 \sqrt{5 x+3} (1-2 x)^{3/2}}-\frac{2}{165 (5 x+3)^{3/2} (1-2 x)^{3/2}}",1,"-2/(165*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) + 74/(1815*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) + 296/(3993*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (2960*Sqrt[1 - 2*x])/(43923*Sqrt[3 + 5*x])","A",4,3,24,0.1250,1,"{78, 45, 37}"
2633,1,89,0,0.0157057,"\int \frac{1}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)),x]","-\frac{1600 \sqrt{1-2 x}}{43923 \sqrt{5 x+3}}-\frac{400 \sqrt{1-2 x}}{3993 (5 x+3)^{3/2}}+\frac{20}{121 (5 x+3)^{3/2} \sqrt{1-2 x}}+\frac{2}{33 (5 x+3)^{3/2} (1-2 x)^{3/2}}","-\frac{1600 \sqrt{1-2 x}}{43923 \sqrt{5 x+3}}-\frac{400 \sqrt{1-2 x}}{3993 (5 x+3)^{3/2}}+\frac{20}{121 (5 x+3)^{3/2} \sqrt{1-2 x}}+\frac{2}{33 (5 x+3)^{3/2} (1-2 x)^{3/2}}",1,"2/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) + 20/(121*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (400*Sqrt[1 - 2*x])/(3993*(3 + 5*x)^(3/2)) - (1600*Sqrt[1 - 2*x])/(43923*Sqrt[3 + 5*x])","A",4,2,19,0.1053,1,"{45, 37}"
2634,1,123,0,0.0459104,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x) (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)*(3 + 5*x)^(5/2)),x]","\frac{1001590 \sqrt{1-2 x}}{2152227 \sqrt{5 x+3}}-\frac{19130 \sqrt{1-2 x}}{195657 (5 x+3)^{3/2}}+\frac{412}{5929 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{4}{231 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{162 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}","\frac{1001590 \sqrt{1-2 x}}{2152227 \sqrt{5 x+3}}-\frac{19130 \sqrt{1-2 x}}{195657 (5 x+3)^{3/2}}+\frac{412}{5929 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{4}{231 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{162 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{49 \sqrt{7}}",1,"4/(231*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) + 412/(5929*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (19130*Sqrt[1 - 2*x])/(195657*(3 + 5*x)^(3/2)) + (1001590*Sqrt[1 - 2*x])/(2152227*Sqrt[3 + 5*x]) - (162*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(49*Sqrt[7])","A",7,5,26,0.1923,1,"{104, 152, 12, 93, 204}"
2635,1,152,0,0.0604652,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^2 (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^2*(3 + 5*x)^(5/2)),x]","\frac{95783075 \sqrt{1-2 x}}{15065589 \sqrt{5 x+3}}-\frac{985525 \sqrt{1-2 x}}{1369599 (5 x+3)^{3/2}}-\frac{1090}{41503 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{3}{7 (1-2 x)^{3/2} (3 x+2) (5 x+3)^{3/2}}-\frac{190}{1617 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{14985 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{343 \sqrt{7}}","\frac{95783075 \sqrt{1-2 x}}{15065589 \sqrt{5 x+3}}-\frac{985525 \sqrt{1-2 x}}{1369599 (5 x+3)^{3/2}}-\frac{1090}{41503 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{3}{7 (1-2 x)^{3/2} (3 x+2) (5 x+3)^{3/2}}-\frac{190}{1617 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{14985 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{343 \sqrt{7}}",1,"-190/(1617*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) - 1090/(41503*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (985525*Sqrt[1 - 2*x])/(1369599*(3 + 5*x)^(3/2)) + 3/(7*(1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^(3/2)) + (95783075*Sqrt[1 - 2*x])/(15065589*Sqrt[3 + 5*x]) - (14985*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(343*Sqrt[7])","A",8,5,26,0.1923,1,"{103, 152, 12, 93, 204}"
2636,1,181,0,0.0715641,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^3 (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^3*(3 + 5*x)^(5/2)),x]","\frac{3443814775 \sqrt{1-2 x}}{60262356 \sqrt{5 x+3}}-\frac{34551425 \sqrt{1-2 x}}{5478396 (5 x+3)^{3/2}}-\frac{40765}{83006 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{111}{28 (1-2 x)^{3/2} (3 x+2) (5 x+3)^{3/2}}-\frac{3715}{3234 (1-2 x)^{3/2} (5 x+3)^{3/2}}+\frac{3}{14 (1-2 x)^{3/2} (3 x+2)^2 (5 x+3)^{3/2}}-\frac{538245 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}","\frac{3443814775 \sqrt{1-2 x}}{60262356 \sqrt{5 x+3}}-\frac{34551425 \sqrt{1-2 x}}{5478396 (5 x+3)^{3/2}}-\frac{40765}{83006 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{111}{28 (1-2 x)^{3/2} (3 x+2) (5 x+3)^{3/2}}-\frac{3715}{3234 (1-2 x)^{3/2} (5 x+3)^{3/2}}+\frac{3}{14 (1-2 x)^{3/2} (3 x+2)^2 (5 x+3)^{3/2}}-\frac{538245 \tan ^{-1}\left(\frac{\sqrt{1-2 x}}{\sqrt{7} \sqrt{5 x+3}}\right)}{1372 \sqrt{7}}",1,"-3715/(3234*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) - 40765/(83006*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (34551425*Sqrt[1 - 2*x])/(5478396*(3 + 5*x)^(3/2)) + 3/(14*(1 - 2*x)^(3/2)*(2 + 3*x)^2*(3 + 5*x)^(3/2)) + 111/(28*(1 - 2*x)^(3/2)*(2 + 3*x)*(3 + 5*x)^(3/2)) + (3443814775*Sqrt[1 - 2*x])/(60262356*Sqrt[3 + 5*x]) - (538245*ArcTan[Sqrt[1 - 2*x]/(Sqrt[7]*Sqrt[3 + 5*x])])/(1372*Sqrt[7])","A",9,6,26,0.2308,1,"{103, 151, 152, 12, 93, 204}"
2637,1,58,0,0.0366825,"\int \frac{1}{\sqrt{a+b x} \sqrt{c+\frac{b (-1+c) x}{a}} \sqrt{e+\frac{b (-1+e) x}{a}}} \, dx","Int[1/(Sqrt[a + b*x]*Sqrt[c + (b*(-1 + c)*x)/a]*Sqrt[e + (b*(-1 + e)*x)/a]),x]","\frac{2 \sqrt{a} F\left(\sin ^{-1}\left(\frac{\sqrt{1-c} \sqrt{a+b x}}{\sqrt{a}}\right)|\frac{1-e}{1-c}\right)}{b \sqrt{1-c}}","\frac{2 \sqrt{a} F\left(\sin ^{-1}\left(\frac{\sqrt{1-c} \sqrt{a+b x}}{\sqrt{a}}\right)|\frac{1-e}{1-c}\right)}{b \sqrt{1-c}}",1,"(2*Sqrt[a]*EllipticF[ArcSin[(Sqrt[1 - c]*Sqrt[a + b*x])/Sqrt[a]], (1 - e)/(1 - c)])/(b*Sqrt[1 - c])","A",1,1,40,0.02500,1,"{119}"
2638,1,96,0,0.0745662,"\int \frac{1}{\sqrt{a+b x} \sqrt{c+d x} \sqrt{e+\frac{b (-1+e) x}{a}}} \, dx","Int[1/(Sqrt[a + b*x]*Sqrt[c + d*x]*Sqrt[e + (b*(-1 + e)*x)/a]),x]","\frac{2 \sqrt{a} \sqrt{\frac{b (c+d x)}{b c-a d}} F\left(\sin ^{-1}\left(\frac{\sqrt{1-e} \sqrt{a+b x}}{\sqrt{a}}\right)|-\frac{a d}{(b c-a d) (1-e)}\right)}{b \sqrt{1-e} \sqrt{c+d x}}","\frac{2 \sqrt{a} \sqrt{\frac{b (c+d x)}{b c-a d}} F\left(\sin ^{-1}\left(\frac{\sqrt{1-e} \sqrt{a+b x}}{\sqrt{a}}\right)|-\frac{a d}{(b c-a d) (1-e)}\right)}{b \sqrt{1-e} \sqrt{c+d x}}",1,"(2*Sqrt[a]*Sqrt[(b*(c + d*x))/(b*c - a*d)]*EllipticF[ArcSin[(Sqrt[1 - e]*Sqrt[a + b*x])/Sqrt[a]], -((a*d)/((b*c - a*d)*(1 - e)))])/(b*Sqrt[1 - e]*Sqrt[c + d*x])","A",2,2,34,0.05882,1,"{121, 119}"
2639,1,134,0,0.124484,"\int \frac{1}{\sqrt{a+b x} \sqrt{c+d x} \sqrt{e+f x}} \, dx","Int[1/(Sqrt[a + b*x]*Sqrt[c + d*x]*Sqrt[e + f*x]),x]","\frac{2 \sqrt{a d-b c} \sqrt{\frac{b (c+d x)}{b c-a d}} \sqrt{\frac{b (e+f x)}{b e-a f}} F\left(\sin ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{a d-b c}}\right)|\frac{(b c-a d) f}{d (b e-a f)}\right)}{b \sqrt{d} \sqrt{c+d x} \sqrt{e+f x}}","\frac{2 \sqrt{a d-b c} \sqrt{\frac{b (c+d x)}{b c-a d}} \sqrt{\frac{b (e+f x)}{b e-a f}} F\left(\sin ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{a d-b c}}\right)|\frac{(b c-a d) f}{d (b e-a f)}\right)}{b \sqrt{d} \sqrt{c+d x} \sqrt{e+f x}}",1,"(2*Sqrt[-(b*c) + a*d]*Sqrt[(b*(c + d*x))/(b*c - a*d)]*Sqrt[(b*(e + f*x))/(b*e - a*f)]*EllipticF[ArcSin[(Sqrt[d]*Sqrt[a + b*x])/Sqrt[-(b*c) + a*d]], ((b*c - a*d)*f)/(d*(b*e - a*f))])/(b*Sqrt[d]*Sqrt[c + d*x]*Sqrt[e + f*x])","A",3,2,28,0.07143,1,"{121, 120}"
2640,1,58,0,0.0214087,"\int \frac{\sqrt{e+\frac{b (-1+e) x}{a}}}{\sqrt{a+b x} \sqrt{c+\frac{b (-1+c) x}{a}}} \, dx","Int[Sqrt[e + (b*(-1 + e)*x)/a]/(Sqrt[a + b*x]*Sqrt[c + (b*(-1 + c)*x)/a]),x]","\frac{2 \sqrt{a} E\left(\sin ^{-1}\left(\frac{\sqrt{1-c} \sqrt{a+b x}}{\sqrt{a}}\right)|\frac{1-e}{1-c}\right)}{b \sqrt{1-c}}","\frac{2 \sqrt{a} E\left(\sin ^{-1}\left(\frac{\sqrt{1-c} \sqrt{a+b x}}{\sqrt{a}}\right)|\frac{1-e}{1-c}\right)}{b \sqrt{1-c}}",1,"(2*Sqrt[a]*EllipticE[ArcSin[(Sqrt[1 - c]*Sqrt[a + b*x])/Sqrt[a]], (1 - e)/(1 - c)])/(b*Sqrt[1 - c])","A",1,1,40,0.02500,1,"{113}"
2641,1,96,0,0.0569543,"\int \frac{\sqrt{c+d x}}{\sqrt{a+b x} \sqrt{e+\frac{b (-1+e) x}{a}}} \, dx","Int[Sqrt[c + d*x]/(Sqrt[a + b*x]*Sqrt[e + (b*(-1 + e)*x)/a]),x]","\frac{2 \sqrt{a} \sqrt{c+d x} E\left(\sin ^{-1}\left(\frac{\sqrt{1-e} \sqrt{a+b x}}{\sqrt{a}}\right)|-\frac{a d}{(b c-a d) (1-e)}\right)}{b \sqrt{1-e} \sqrt{\frac{b (c+d x)}{b c-a d}}}","\frac{2 \sqrt{a} \sqrt{c+d x} E\left(\sin ^{-1}\left(\frac{\sqrt{1-e} \sqrt{a+b x}}{\sqrt{a}}\right)|-\frac{a d}{(b c-a d) (1-e)}\right)}{b \sqrt{1-e} \sqrt{\frac{b (c+d x)}{b c-a d}}}",1,"(2*Sqrt[a]*Sqrt[c + d*x]*EllipticE[ArcSin[(Sqrt[1 - e]*Sqrt[a + b*x])/Sqrt[a]], -((a*d)/((b*c - a*d)*(1 - e)))])/(b*Sqrt[1 - e]*Sqrt[(b*(c + d*x))/(b*c - a*d)])","A",2,2,34,0.05882,1,"{114, 113}"
2642,1,162,0,0.1834657,"\int \frac{\sqrt{a+b x}}{\sqrt{c+\frac{b (-1+c) x}{a}} \sqrt{e+\frac{b (-1+e) x}{a}}} \, dx","Int[Sqrt[a + b*x]/(Sqrt[c + (b*(-1 + c)*x)/a]*Sqrt[e + (b*(-1 + e)*x)/a]),x]","-\frac{2 a \sqrt{c-e} \sqrt{a+b x} \sqrt{-\frac{(1-c) (a e-b (1-e) x)}{a (c-e)}} E\left(\sin ^{-1}\left(\frac{\sqrt{1-e} \sqrt{c-\frac{b (1-c) x}{a}}}{\sqrt{c-e}}\right)|\frac{c-e}{1-e}\right)}{b (1-c) \sqrt{1-e} \sqrt{\frac{(1-c) (a+b x)}{a}} \sqrt{e-\frac{b (1-e) x}{a}}}","-\frac{2 a \sqrt{c-e} \sqrt{a+b x} \sqrt{-\frac{(1-c) (a e-b (1-e) x)}{a (c-e)}} E\left(\sin ^{-1}\left(\frac{\sqrt{1-e} \sqrt{c-\frac{b (1-c) x}{a}}}{\sqrt{c-e}}\right)|\frac{c-e}{1-e}\right)}{b (1-c) \sqrt{1-e} \sqrt{\frac{(1-c) (a+b x)}{a}} \sqrt{e-\frac{b (1-e) x}{a}}}",1,"(-2*a*Sqrt[c - e]*Sqrt[a + b*x]*Sqrt[-(((1 - c)*(a*e - b*(1 - e)*x))/(a*(c - e)))]*EllipticE[ArcSin[(Sqrt[1 - e]*Sqrt[c - (b*(1 - c)*x)/a])/Sqrt[c - e]], (c - e)/(1 - e)])/(b*(1 - c)*Sqrt[1 - e]*Sqrt[((1 - c)*(a + b*x))/a]*Sqrt[e - (b*(1 - e)*x)/a])","A",2,2,40,0.05000,1,"{114, 113}"
2643,1,134,0,0.0494805,"\int \frac{\sqrt{e+f x}}{\sqrt{a+b x} \sqrt{c+d x}} \, dx","Int[Sqrt[e + f*x]/(Sqrt[a + b*x]*Sqrt[c + d*x]),x]","\frac{2 \sqrt{e+f x} \sqrt{a d-b c} \sqrt{\frac{b (c+d x)}{b c-a d}} E\left(\sin ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{a d-b c}}\right)|\frac{(b c-a d) f}{d (b e-a f)}\right)}{b \sqrt{d} \sqrt{c+d x} \sqrt{\frac{b (e+f x)}{b e-a f}}}","\frac{2 \sqrt{e+f x} \sqrt{a d-b c} \sqrt{\frac{b (c+d x)}{b c-a d}} E\left(\sin ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{a d-b c}}\right)|\frac{(b c-a d) f}{d (b e-a f)}\right)}{b \sqrt{d} \sqrt{c+d x} \sqrt{\frac{b (e+f x)}{b e-a f}}}",1,"(2*Sqrt[-(b*c) + a*d]*Sqrt[(b*(c + d*x))/(b*c - a*d)]*Sqrt[e + f*x]*EllipticE[ArcSin[(Sqrt[d]*Sqrt[a + b*x])/Sqrt[-(b*c) + a*d]], ((b*c - a*d)*f)/(d*(b*e - a*f))])/(b*Sqrt[d]*Sqrt[c + d*x]*Sqrt[(b*(e + f*x))/(b*e - a*f)])","A",2,2,28,0.07143,1,"{114, 113}"
2644,1,101,0,0.0695599,"\int \frac{1}{\sqrt{-c+d x} \sqrt{c+d x} \sqrt{e+f x}} \, dx","Int[1/(Sqrt[-c + d*x]*Sqrt[c + d*x]*Sqrt[e + f*x]),x]","\frac{2 \sqrt{c} \sqrt{\frac{c-d x}{c}} \sqrt{\frac{d (e+f x)}{d e-c f}} F\left(\sin ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{2} \sqrt{c}}\right)|-\frac{2 c f}{d e-c f}\right)}{d \sqrt{d x-c} \sqrt{e+f x}}","\frac{2 \sqrt{c} \sqrt{\frac{c-d x}{c}} \sqrt{\frac{d (e+f x)}{d e-c f}} F\left(\sin ^{-1}\left(\frac{\sqrt{c+d x}}{\sqrt{2} \sqrt{c}}\right)|-\frac{2 c f}{d e-c f}\right)}{d \sqrt{d x-c} \sqrt{e+f x}}",1,"(2*Sqrt[c]*Sqrt[(c - d*x)/c]*Sqrt[(d*(e + f*x))/(d*e - c*f)]*EllipticF[ArcSin[Sqrt[c + d*x]/(Sqrt[2]*Sqrt[c])], (-2*c*f)/(d*e - c*f)])/(d*Sqrt[-c + d*x]*Sqrt[e + f*x])","A",3,2,30,0.06667,1,"{121, 119}"
2645,1,191,0,0.0729185,"\int \sqrt{1-2 x} (2+3 x)^{5/2} \sqrt{3+5 x} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x],x]","\frac{2}{45} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{5/2}-\frac{23 \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{3/2}}{1575}-\frac{1244 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{13125}-\frac{175111 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{236250}-\frac{175111 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1181250}-\frac{2911577 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{590625}","\frac{2}{45} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{5/2}-\frac{23 \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{3/2}}{1575}-\frac{1244 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{13125}-\frac{175111 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{236250}-\frac{175111 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1181250}-\frac{2911577 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{590625}",1,"(-175111*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/236250 - (1244*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/13125 - (23*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/1575 + (2*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2))/45 - (2911577*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/590625 - (175111*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1181250","A",7,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2646,1,160,0,0.0534294,"\int \sqrt{1-2 x} (2+3 x)^{3/2} \sqrt{3+5 x} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x],x]","\frac{2}{35} \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{3/2}-\frac{27}{875} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{823 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{2625}-\frac{823 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{13125}-\frac{55019 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{26250}","\frac{2}{35} \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{3/2}-\frac{27}{875} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{823 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{2625}-\frac{823 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{13125}-\frac{55019 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{26250}",1,"(-823*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/2625 - (27*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/875 + (2*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/35 - (55019*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/26250 - (823*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/13125","A",6,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2647,1,129,0,0.0426397,"\int \sqrt{1-2 x} \sqrt{2+3 x} \sqrt{3+5 x} \, dx","Int[Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x],x]","\frac{2}{25} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{31}{225} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{31 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1125}-\frac{1159 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1125}","\frac{2}{25} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{31}{225} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{31 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1125}-\frac{1159 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1125}",1,"(-31*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/225 + (2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/25 - (1159*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1125 - (31*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1125","A",5,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2648,1,98,0,0.031422,"\int \frac{\sqrt{1-2 x} \sqrt{3+5 x}}{\sqrt{2+3 x}} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/Sqrt[2 + 3*x],x]","\frac{2}{9} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{2}{45} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{37}{45} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{2}{9} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{2}{45} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{37}{45} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/9 - (37*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/45 + (2*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/45","A",4,4,28,0.1429,1,"{101, 158, 113, 119}"
2649,1,98,0,0.0297386,"\int \frac{\sqrt{1-2 x} \sqrt{3+5 x}}{(2+3 x)^{3/2}} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2 + 3*x)^(3/2),x]","-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{3 \sqrt{3 x+2}}-\frac{2}{3} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{4}{3} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{3 \sqrt{3 x+2}}-\frac{2}{3} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{4}{3} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3*Sqrt[2 + 3*x]) + (4*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3 - (2*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3","A",4,4,28,0.1429,1,"{97, 158, 113, 119}"
2650,1,129,0,0.0398294,"\int \frac{\sqrt{1-2 x} \sqrt{3+5 x}}{(2+3 x)^{5/2}} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2 + 3*x)^(5/2),x]","\frac{74 \sqrt{1-2 x} \sqrt{5 x+3}}{63 \sqrt{3 x+2}}-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{9 (3 x+2)^{3/2}}+\frac{4}{63} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{74}{63} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{74 \sqrt{1-2 x} \sqrt{5 x+3}}{63 \sqrt{3 x+2}}-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{9 (3 x+2)^{3/2}}+\frac{4}{63} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{74}{63} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(9*(2 + 3*x)^(3/2)) + (74*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(63*Sqrt[2 + 3*x]) - (74*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/63 + (4*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/63","A",5,5,28,0.1786,1,"{97, 152, 158, 113, 119}"
2651,1,160,0,0.0508296,"\int \frac{\sqrt{1-2 x} \sqrt{3+5 x}}{(2+3 x)^{7/2}} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2 + 3*x)^(7/2),x]","\frac{4636 \sqrt{1-2 x} \sqrt{5 x+3}}{2205 \sqrt{3 x+2}}+\frac{74 \sqrt{1-2 x} \sqrt{5 x+3}}{315 (3 x+2)^{3/2}}-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{15 (3 x+2)^{5/2}}-\frac{124 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2205}-\frac{4636 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2205}","\frac{4636 \sqrt{1-2 x} \sqrt{5 x+3}}{2205 \sqrt{3 x+2}}+\frac{74 \sqrt{1-2 x} \sqrt{5 x+3}}{315 (3 x+2)^{3/2}}-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{15 (3 x+2)^{5/2}}-\frac{124 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2205}-\frac{4636 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2205}",1,"(-2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(15*(2 + 3*x)^(5/2)) + (74*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(315*(2 + 3*x)^(3/2)) + (4636*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2205*Sqrt[2 + 3*x]) - (4636*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2205 - (124*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2205","A",6,5,28,0.1786,1,"{97, 152, 158, 113, 119}"
2652,1,191,0,0.0684654,"\int \frac{\sqrt{1-2 x} \sqrt{3+5 x}}{(2+3 x)^{9/2}} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2 + 3*x)^(9/2),x]","\frac{220076 \sqrt{1-2 x} \sqrt{5 x+3}}{36015 \sqrt{3 x+2}}+\frac{3184 \sqrt{1-2 x} \sqrt{5 x+3}}{5145 (3 x+2)^{3/2}}+\frac{74 \sqrt{1-2 x} \sqrt{5 x+3}}{735 (3 x+2)^{5/2}}-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{21 (3 x+2)^{7/2}}-\frac{6584 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{36015}-\frac{220076 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{36015}","\frac{220076 \sqrt{1-2 x} \sqrt{5 x+3}}{36015 \sqrt{3 x+2}}+\frac{3184 \sqrt{1-2 x} \sqrt{5 x+3}}{5145 (3 x+2)^{3/2}}+\frac{74 \sqrt{1-2 x} \sqrt{5 x+3}}{735 (3 x+2)^{5/2}}-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{21 (3 x+2)^{7/2}}-\frac{6584 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{36015}-\frac{220076 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{36015}",1,"(-2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(21*(2 + 3*x)^(7/2)) + (74*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(735*(2 + 3*x)^(5/2)) + (3184*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(5145*(2 + 3*x)^(3/2)) + (220076*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(36015*Sqrt[2 + 3*x]) - (220076*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/36015 - (6584*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/36015","A",7,5,28,0.1786,1,"{97, 152, 158, 113, 119}"
2653,1,218,0,0.0811409,"\int \sqrt{1-2 x} (2+3 x)^{5/2} (3+5 x)^{3/2} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2),x]","\frac{2}{55} \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{5/2}-\frac{23 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}}{2475}-\frac{543 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{9625}-\frac{342971 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{866250}-\frac{11346991 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{3898125}-\frac{11346991 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1771875 \sqrt{33}}-\frac{1508889271 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7087500 \sqrt{33}}","\frac{2}{55} \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{5/2}-\frac{23 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}}{2475}-\frac{543 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{9625}-\frac{342971 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{866250}-\frac{11346991 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{3898125}-\frac{11346991 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1771875 \sqrt{33}}-\frac{1508889271 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7087500 \sqrt{33}}",1,"(-11346991*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/3898125 - (342971*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/866250 - (543*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/9625 - (23*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/2475 + (2*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/55 - (1508889271*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(7087500*Sqrt[33]) - (11346991*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1771875*Sqrt[33])","A",8,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2654,1,191,0,0.0680167,"\int \sqrt{1-2 x} (2+3 x)^{3/2} (3+5 x)^{3/2} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2),x]","\frac{2}{45} \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}-\frac{3}{175} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{1208 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{7875}-\frac{160297 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{141750}-\frac{160297 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{708750}-\frac{5327983 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{708750}","\frac{2}{45} \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}-\frac{3}{175} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{1208 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{7875}-\frac{160297 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{141750}-\frac{160297 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{708750}-\frac{5327983 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{708750}",1,"(-160297*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/141750 - (1208*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/7875 - (3*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/175 + (2*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/45 - (5327983*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/708750 - (160297*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/708750","A",7,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2655,1,160,0,0.0517179,"\int \sqrt{1-2 x} \sqrt{2+3 x} (3+5 x)^{3/2} \, dx","Int[Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2),x]","\frac{2}{35} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{31}{525} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{2252 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{4725}-\frac{2252 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{23625}-\frac{148831 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{47250}","\frac{2}{35} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{31}{525} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{2252 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{4725}-\frac{2252 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{23625}-\frac{148831 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{47250}",1,"(-2252*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/4725 - (31*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/525 + (2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/35 - (148831*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/47250 - (2252*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/23625","A",6,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2656,1,129,0,0.0410217,"\int \frac{\sqrt{1-2 x} (3+5 x)^{3/2}}{\sqrt{2+3 x}} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/Sqrt[2 + 3*x],x]","\frac{2}{15} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{41}{135} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{41}{675} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{974}{675} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{2}{15} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{41}{135} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{41}{675} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{974}{675} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-41*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/135 + (2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/15 - (974*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/675 - (41*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/675","A",5,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2657,1,129,0,0.0398145,"\int \frac{\sqrt{1-2 x} (3+5 x)^{3/2}}{(2+3 x)^{3/2}} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(2 + 3*x)^(3/2),x]","-\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{3 \sqrt{3 x+2}}+\frac{40}{27} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{8}{27} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{49}{27} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{3 \sqrt{3 x+2}}+\frac{40}{27} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{8}{27} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{49}{27} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(40*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/27 - (2*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(3*Sqrt[2 + 3*x]) - (49*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/27 + (8*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/27","A",5,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2658,1,129,0,0.0388308,"\int \frac{\sqrt{1-2 x} (3+5 x)^{3/2}}{(2+3 x)^{5/2}} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(2 + 3*x)^(5/2),x]","-\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{9 (3 x+2)^{3/2}}-\frac{214 \sqrt{1-2 x} \sqrt{5 x+3}}{189 \sqrt{3 x+2}}-\frac{214}{189} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{494}{189} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{9 (3 x+2)^{3/2}}-\frac{214 \sqrt{1-2 x} \sqrt{5 x+3}}{189 \sqrt{3 x+2}}-\frac{214}{189} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{494}{189} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-214*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(189*Sqrt[2 + 3*x]) - (2*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(9*(2 + 3*x)^(3/2)) + (494*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/189 - (214*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/189","A",5,5,28,0.1786,1,"{97, 150, 158, 113, 119}"
2659,1,160,0,0.0518047,"\int \frac{\sqrt{1-2 x} (3+5 x)^{3/2}}{(2+3 x)^{7/2}} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(2 + 3*x)^(7/2),x]","-\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{15 (3 x+2)^{5/2}}+\frac{8314 \sqrt{1-2 x} \sqrt{5 x+3}}{6615 \sqrt{3 x+2}}-\frac{214 \sqrt{1-2 x} \sqrt{5 x+3}}{945 (3 x+2)^{3/2}}+\frac{824 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6615}-\frac{8314 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6615}","-\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{15 (3 x+2)^{5/2}}+\frac{8314 \sqrt{1-2 x} \sqrt{5 x+3}}{6615 \sqrt{3 x+2}}-\frac{214 \sqrt{1-2 x} \sqrt{5 x+3}}{945 (3 x+2)^{3/2}}+\frac{824 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6615}-\frac{8314 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6615}",1,"(-214*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(945*(2 + 3*x)^(3/2)) + (8314*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(6615*Sqrt[2 + 3*x]) - (2*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(15*(2 + 3*x)^(5/2)) - (8314*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/6615 + (824*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/6615","A",6,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2660,1,191,0,0.0674905,"\int \frac{\sqrt{1-2 x} (3+5 x)^{3/2}}{(2+3 x)^{9/2}} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(2 + 3*x)^(9/2),x]","-\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{21 (3 x+2)^{7/2}}+\frac{475592 \sqrt{1-2 x} \sqrt{5 x+3}}{324135 \sqrt{3 x+2}}+\frac{8578 \sqrt{1-2 x} \sqrt{5 x+3}}{46305 (3 x+2)^{3/2}}-\frac{214 \sqrt{1-2 x} \sqrt{5 x+3}}{2205 (3 x+2)^{5/2}}-\frac{10628 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{324135}-\frac{475592 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{324135}","-\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{21 (3 x+2)^{7/2}}+\frac{475592 \sqrt{1-2 x} \sqrt{5 x+3}}{324135 \sqrt{3 x+2}}+\frac{8578 \sqrt{1-2 x} \sqrt{5 x+3}}{46305 (3 x+2)^{3/2}}-\frac{214 \sqrt{1-2 x} \sqrt{5 x+3}}{2205 (3 x+2)^{5/2}}-\frac{10628 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{324135}-\frac{475592 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{324135}",1,"(-214*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2205*(2 + 3*x)^(5/2)) + (8578*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(46305*(2 + 3*x)^(3/2)) + (475592*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(324135*Sqrt[2 + 3*x]) - (2*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(21*(2 + 3*x)^(7/2)) - (475592*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/324135 - (10628*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/324135","A",7,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2661,1,222,0,0.0792006,"\int \frac{\sqrt{1-2 x} (3+5 x)^{3/2}}{(2+3 x)^{11/2}} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(2 + 3*x)^(11/2),x]","-\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{27 (3 x+2)^{9/2}}+\frac{22738708 \sqrt{1-2 x} \sqrt{5 x+3}}{6806835 \sqrt{3 x+2}}+\frac{332372 \sqrt{1-2 x} \sqrt{5 x+3}}{972405 (3 x+2)^{3/2}}+\frac{8842 \sqrt{1-2 x} \sqrt{5 x+3}}{138915 (3 x+2)^{5/2}}-\frac{214 \sqrt{1-2 x} \sqrt{5 x+3}}{3969 (3 x+2)^{7/2}}-\frac{673072 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6806835}-\frac{22738708 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6806835}","-\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{27 (3 x+2)^{9/2}}+\frac{22738708 \sqrt{1-2 x} \sqrt{5 x+3}}{6806835 \sqrt{3 x+2}}+\frac{332372 \sqrt{1-2 x} \sqrt{5 x+3}}{972405 (3 x+2)^{3/2}}+\frac{8842 \sqrt{1-2 x} \sqrt{5 x+3}}{138915 (3 x+2)^{5/2}}-\frac{214 \sqrt{1-2 x} \sqrt{5 x+3}}{3969 (3 x+2)^{7/2}}-\frac{673072 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6806835}-\frac{22738708 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6806835}",1,"(-214*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3969*(2 + 3*x)^(7/2)) + (8842*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(138915*(2 + 3*x)^(5/2)) + (332372*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(972405*(2 + 3*x)^(3/2)) + (22738708*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(6806835*Sqrt[2 + 3*x]) - (2*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(27*(2 + 3*x)^(9/2)) - (22738708*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/6806835 - (673072*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/6806835","A",8,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2662,1,249,0,0.09979,"\int \sqrt{1-2 x} (2+3 x)^{5/2} (3+5 x)^{5/2} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2),x]","\frac{2}{65} \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{7/2}-\frac{23 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{7/2}}{3575}-\frac{2014 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}}{53625}-\frac{564731 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{2252250}-\frac{1865989 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{1126125}-\frac{493825477 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{40540500}-\frac{493825477 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{18427500 \sqrt{33}}-\frac{16416987253 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{18427500 \sqrt{33}}","\frac{2}{65} \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{7/2}-\frac{23 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{7/2}}{3575}-\frac{2014 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}}{53625}-\frac{564731 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{2252250}-\frac{1865989 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{1126125}-\frac{493825477 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{40540500}-\frac{493825477 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{18427500 \sqrt{33}}-\frac{16416987253 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{18427500 \sqrt{33}}",1,"(-493825477*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/40540500 - (1865989*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/1126125 - (564731*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/2252250 - (2014*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(7/2))/53625 - (23*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(7/2))/3575 + (2*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(7/2))/65 - (16416987253*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(18427500*Sqrt[33]) - (493825477*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(18427500*Sqrt[33])","A",9,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2663,1,218,0,0.0830044,"\int \sqrt{1-2 x} (2+3 x)^{3/2} (3+5 x)^{5/2} \, dx","Int[Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2),x]","\frac{2}{55} \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{7/2}-\frac{3}{275} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}-\frac{177 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{1925}-\frac{7031 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{11550}-\frac{465127 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{103950}-\frac{465127 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{47250 \sqrt{33}}-\frac{30926081 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{94500 \sqrt{33}}","\frac{2}{55} \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{7/2}-\frac{3}{275} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}-\frac{177 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{1925}-\frac{7031 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{11550}-\frac{465127 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{103950}-\frac{465127 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{47250 \sqrt{33}}-\frac{30926081 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{94500 \sqrt{33}}",1,"(-465127*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/103950 - (7031*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/11550 - (177*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/1925 - (3*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(7/2))/275 + (2*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(7/2))/55 - (30926081*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(94500*Sqrt[33]) - (465127*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(47250*Sqrt[33])","A",8,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2664,1,191,0,0.0676175,"\int \sqrt{1-2 x} \sqrt{2+3 x} (3+5 x)^{5/2} \, dx","Int[Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2),x]","\frac{2}{45} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}-\frac{31}{945} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{223}{945} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{29357 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{17010}-\frac{29357 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{85050}-\frac{488149 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{42525}","\frac{2}{45} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}-\frac{31}{945} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{223}{945} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{29357 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{17010}-\frac{29357 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{85050}-\frac{488149 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{42525}",1,"(-29357*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/17010 - (223*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/945 - (31*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/945 + (2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(7/2))/45 - (488149*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/42525 - (29357*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/85050","A",7,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2665,1,160,0,0.0516328,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{\sqrt{2+3 x}} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/Sqrt[2 + 3*x],x]","\frac{2}{21} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{1}{7} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{131}{189} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{131}{945} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{9013 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1890}","\frac{2}{21} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{1}{7} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{131}{189} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{131}{945} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{9013 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1890}",1,"(-131*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/189 - (Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/7 + (2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/21 - (9013*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1890 - (131*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/945","A",6,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2666,1,156,0,0.0494091,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{(2+3 x)^{3/2}} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2 + 3*x)^(3/2),x]","-\frac{2 \sqrt{1-2 x} (5 x+3)^{5/2}}{3 \sqrt{3 x+2}}+\frac{4}{3} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{1}{5} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{3}{5} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{1-2 x} (5 x+3)^{5/2}}{3 \sqrt{3 x+2}}+\frac{4}{3} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{1}{5} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{3}{5} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"-(Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) + (4*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/3 - (2*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(3*Sqrt[2 + 3*x]) - (3*Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5 - (Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5","A",6,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2667,1,160,0,0.0504041,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{(2+3 x)^{5/2}} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2 + 3*x)^(5/2),x]","-\frac{2 \sqrt{1-2 x} (5 x+3)^{5/2}}{9 (3 x+2)^{3/2}}-\frac{118 \sqrt{1-2 x} (5 x+3)^{3/2}}{63 \sqrt{3 x+2}}+\frac{2470}{567} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{494}{567} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{2209}{567} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{1-2 x} (5 x+3)^{5/2}}{9 (3 x+2)^{3/2}}-\frac{118 \sqrt{1-2 x} (5 x+3)^{3/2}}{63 \sqrt{3 x+2}}+\frac{2470}{567} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{494}{567} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{2209}{567} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2470*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/567 - (118*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(63*Sqrt[2 + 3*x]) - (2*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(9*(2 + 3*x)^(3/2)) - (2209*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/567 + (494*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/567","A",6,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2668,1,160,0,0.0506104,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{(2+3 x)^{7/2}} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2 + 3*x)^(7/2),x]","-\frac{2 \sqrt{1-2 x} (5 x+3)^{5/2}}{15 (3 x+2)^{5/2}}-\frac{118 \sqrt{1-2 x} (5 x+3)^{3/2}}{315 (3 x+2)^{3/2}}-\frac{12758 \sqrt{1-2 x} \sqrt{5 x+3}}{6615 \sqrt{3 x+2}}-\frac{12758 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6615}+\frac{31588 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6615}","-\frac{2 \sqrt{1-2 x} (5 x+3)^{5/2}}{15 (3 x+2)^{5/2}}-\frac{118 \sqrt{1-2 x} (5 x+3)^{3/2}}{315 (3 x+2)^{3/2}}-\frac{12758 \sqrt{1-2 x} \sqrt{5 x+3}}{6615 \sqrt{3 x+2}}-\frac{12758 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6615}+\frac{31588 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6615}",1,"(-12758*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(6615*Sqrt[2 + 3*x]) - (118*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(315*(2 + 3*x)^(3/2)) - (2*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(15*(2 + 3*x)^(5/2)) + (31588*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/6615 - (12758*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/6615","A",6,5,28,0.1786,1,"{97, 150, 158, 113, 119}"
2669,1,191,0,0.0649354,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{(2+3 x)^{9/2}} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2 + 3*x)^(9/2),x]","-\frac{2 \sqrt{1-2 x} (5 x+3)^{5/2}}{21 (3 x+2)^{7/2}}-\frac{118 \sqrt{1-2 x} (5 x+3)^{3/2}}{735 (3 x+2)^{5/2}}+\frac{173482 \sqrt{1-2 x} \sqrt{5 x+3}}{108045 \sqrt{3 x+2}}-\frac{4282 \sqrt{1-2 x} \sqrt{5 x+3}}{15435 (3 x+2)^{3/2}}+\frac{23612 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{108045}-\frac{173482 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{108045}","-\frac{2 \sqrt{1-2 x} (5 x+3)^{5/2}}{21 (3 x+2)^{7/2}}-\frac{118 \sqrt{1-2 x} (5 x+3)^{3/2}}{735 (3 x+2)^{5/2}}+\frac{173482 \sqrt{1-2 x} \sqrt{5 x+3}}{108045 \sqrt{3 x+2}}-\frac{4282 \sqrt{1-2 x} \sqrt{5 x+3}}{15435 (3 x+2)^{3/2}}+\frac{23612 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{108045}-\frac{173482 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{108045}",1,"(-4282*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(15435*(2 + 3*x)^(3/2)) + (173482*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(108045*Sqrt[2 + 3*x]) - (118*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(735*(2 + 3*x)^(5/2)) - (2*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(21*(2 + 3*x)^(7/2)) - (173482*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/108045 + (23612*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/108045","A",7,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2670,1,222,0,0.0807932,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{(2+3 x)^{11/2}} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2 + 3*x)^(11/2),x]","-\frac{2 \sqrt{1-2 x} (5 x+3)^{5/2}}{27 (3 x+2)^{9/2}}-\frac{118 \sqrt{1-2 x} (5 x+3)^{3/2}}{1323 (3 x+2)^{7/2}}+\frac{27198452 \sqrt{1-2 x} \sqrt{5 x+3}}{20420505 \sqrt{3 x+2}}+\frac{568318 \sqrt{1-2 x} \sqrt{5 x+3}}{2917215 (3 x+2)^{3/2}}-\frac{12934 \sqrt{1-2 x} \sqrt{5 x+3}}{138915 (3 x+2)^{5/2}}-\frac{442868 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{20420505}-\frac{27198452 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{20420505}","-\frac{2 \sqrt{1-2 x} (5 x+3)^{5/2}}{27 (3 x+2)^{9/2}}-\frac{118 \sqrt{1-2 x} (5 x+3)^{3/2}}{1323 (3 x+2)^{7/2}}+\frac{27198452 \sqrt{1-2 x} \sqrt{5 x+3}}{20420505 \sqrt{3 x+2}}+\frac{568318 \sqrt{1-2 x} \sqrt{5 x+3}}{2917215 (3 x+2)^{3/2}}-\frac{12934 \sqrt{1-2 x} \sqrt{5 x+3}}{138915 (3 x+2)^{5/2}}-\frac{442868 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{20420505}-\frac{27198452 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{20420505}",1,"(-12934*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(138915*(2 + 3*x)^(5/2)) + (568318*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2917215*(2 + 3*x)^(3/2)) + (27198452*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(20420505*Sqrt[2 + 3*x]) - (118*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(1323*(2 + 3*x)^(7/2)) - (2*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(27*(2 + 3*x)^(9/2)) - (27198452*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/20420505 - (442868*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/20420505","A",8,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2671,1,249,0,0.0971437,"\int \frac{\sqrt{1-2 x} (3+5 x)^{5/2}}{(2+3 x)^{13/2}} \, dx","Int[(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(2 + 3*x)^(13/2),x]","-\frac{2 \sqrt{1-2 x} (5 x+3)^{5/2}}{33 (3 x+2)^{11/2}}-\frac{118 \sqrt{1-2 x} (5 x+3)^{3/2}}{2079 (3 x+2)^{9/2}}+\frac{1305025844 \sqrt{1-2 x} \sqrt{5 x+3}}{524126295 \sqrt{3 x+2}}+\frac{19417096 \sqrt{1-2 x} \sqrt{5 x+3}}{74875185 (3 x+2)^{3/2}}+\frac{627806 \sqrt{1-2 x} \sqrt{5 x+3}}{10696455 (3 x+2)^{5/2}}-\frac{13022 \sqrt{1-2 x} \sqrt{5 x+3}}{305613 (3 x+2)^{7/2}}-\frac{37904696 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{47647845 \sqrt{33}}-\frac{1305025844 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{47647845 \sqrt{33}}","-\frac{2 \sqrt{1-2 x} (5 x+3)^{5/2}}{33 (3 x+2)^{11/2}}-\frac{118 \sqrt{1-2 x} (5 x+3)^{3/2}}{2079 (3 x+2)^{9/2}}+\frac{1305025844 \sqrt{1-2 x} \sqrt{5 x+3}}{524126295 \sqrt{3 x+2}}+\frac{19417096 \sqrt{1-2 x} \sqrt{5 x+3}}{74875185 (3 x+2)^{3/2}}+\frac{627806 \sqrt{1-2 x} \sqrt{5 x+3}}{10696455 (3 x+2)^{5/2}}-\frac{13022 \sqrt{1-2 x} \sqrt{5 x+3}}{305613 (3 x+2)^{7/2}}-\frac{37904696 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{47647845 \sqrt{33}}-\frac{1305025844 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{47647845 \sqrt{33}}",1,"(-13022*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(305613*(2 + 3*x)^(7/2)) + (627806*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(10696455*(2 + 3*x)^(5/2)) + (19417096*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(74875185*(2 + 3*x)^(3/2)) + (1305025844*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(524126295*Sqrt[2 + 3*x]) - (118*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(2079*(2 + 3*x)^(9/2)) - (2*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(33*(2 + 3*x)^(11/2)) - (1305025844*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(47647845*Sqrt[33]) - (37904696*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(47647845*Sqrt[33])","A",9,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2672,1,134,0,0.0399542,"\int \frac{\sqrt{e+f x}}{\sqrt{a+b x} \sqrt{c+d x}} \, dx","Int[Sqrt[e + f*x]/(Sqrt[a + b*x]*Sqrt[c + d*x]),x]","\frac{2 \sqrt{e+f x} \sqrt{a d-b c} \sqrt{\frac{b (c+d x)}{b c-a d}} E\left(\sin ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{a d-b c}}\right)|\frac{(b c-a d) f}{d (b e-a f)}\right)}{b \sqrt{d} \sqrt{c+d x} \sqrt{\frac{b (e+f x)}{b e-a f}}}","\frac{2 \sqrt{e+f x} \sqrt{a d-b c} \sqrt{\frac{b (c+d x)}{b c-a d}} E\left(\sin ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{a d-b c}}\right)|\frac{(b c-a d) f}{d (b e-a f)}\right)}{b \sqrt{d} \sqrt{c+d x} \sqrt{\frac{b (e+f x)}{b e-a f}}}",1,"(2*Sqrt[-(b*c) + a*d]*Sqrt[(b*(c + d*x))/(b*c - a*d)]*Sqrt[e + f*x]*EllipticE[ArcSin[(Sqrt[d]*Sqrt[a + b*x])/Sqrt[-(b*c) + a*d]], ((b*c - a*d)*f)/(d*(b*e - a*f))])/(b*Sqrt[d]*Sqrt[c + d*x]*Sqrt[(b*(e + f*x))/(b*e - a*f)])","A",2,2,28,0.07143,1,"{114, 113}"
2673,1,184,0,0.1136445,"\int \frac{\sqrt{e+f x}}{(a+b x)^{3/2} \sqrt{c+d x}} \, dx","Int[Sqrt[e + f*x]/((a + b*x)^(3/2)*Sqrt[c + d*x]),x]","\frac{2 \sqrt{f} \sqrt{c+d x} \sqrt{a f-b e} \sqrt{\frac{b (e+f x)}{b e-a f}} E\left(\sin ^{-1}\left(\frac{\sqrt{f} \sqrt{a+b x}}{\sqrt{a f-b e}}\right)|\frac{d (b e-a f)}{(b c-a d) f}\right)}{b \sqrt{e+f x} (b c-a d) \sqrt{\frac{b (c+d x)}{b c-a d}}}-\frac{2 \sqrt{c+d x} \sqrt{e+f x}}{\sqrt{a+b x} (b c-a d)}","\frac{2 \sqrt{f} \sqrt{c+d x} \sqrt{a f-b e} \sqrt{\frac{b (e+f x)}{b e-a f}} E\left(\sin ^{-1}\left(\frac{\sqrt{f} \sqrt{a+b x}}{\sqrt{a f-b e}}\right)|\frac{d (b e-a f)}{(b c-a d) f}\right)}{b \sqrt{e+f x} (b c-a d) \sqrt{\frac{b (c+d x)}{b c-a d}}}-\frac{2 \sqrt{c+d x} \sqrt{e+f x}}{\sqrt{a+b x} (b c-a d)}",1,"(-2*Sqrt[c + d*x]*Sqrt[e + f*x])/((b*c - a*d)*Sqrt[a + b*x]) + (2*Sqrt[f]*Sqrt[-(b*e) + a*f]*Sqrt[c + d*x]*Sqrt[(b*(e + f*x))/(b*e - a*f)]*EllipticE[ArcSin[(Sqrt[f]*Sqrt[a + b*x])/Sqrt[-(b*e) + a*f]], (d*(b*e - a*f))/((b*c - a*d)*f)])/(b*(b*c - a*d)*Sqrt[(b*(c + d*x))/(b*c - a*d)]*Sqrt[e + f*x])","A",4,4,28,0.1429,1,"{99, 21, 114, 113}"
2674,1,31,0,0.0085949,"\int \frac{\sqrt{1-2 x}}{\sqrt{-3-5 x} \sqrt{2+3 x}} \, dx","Int[Sqrt[1 - 2*x]/(Sqrt[-3 - 5*x]*Sqrt[2 + 3*x]),x]","\frac{2}{3} \sqrt{\frac{7}{5}} E\left(\sin ^{-1}\left(\sqrt{5} \sqrt{3 x+2}\right)|\frac{2}{35}\right)","\frac{2}{3} \sqrt{\frac{7}{5}} E\left(\sin ^{-1}\left(\sqrt{5} \sqrt{3 x+2}\right)|\frac{2}{35}\right)",1,"(2*Sqrt[7/5]*EllipticE[ArcSin[Sqrt[5]*Sqrt[2 + 3*x]], 2/35])/3","A",1,1,28,0.03571,1,"{113}"
2675,1,158,0,0.0546613,"\int \frac{\sqrt{1-2 x} (2+3 x)^{5/2}}{\sqrt{3+5 x}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/Sqrt[3 + 5*x],x]","\frac{2}{35} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}-\frac{23}{875} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{859 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{4375}-\frac{314 \sqrt{33} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{21875}-\frac{61151 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{43750}","\frac{2}{35} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}-\frac{23}{875} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{859 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{4375}-\frac{314 \sqrt{33} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{21875}-\frac{61151 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{43750}",1,"(-859*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/4375 - (23*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/875 + (2*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/35 - (61151*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/43750 - (314*Sqrt[33]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/21875","A",6,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2676,1,127,0,0.0396328,"\int \frac{\sqrt{1-2 x} (2+3 x)^{3/2}}{\sqrt{3+5 x}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/Sqrt[3 + 5*x],x]","\frac{2}{25} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{9}{125} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{17}{625} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{146}{625} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{2}{25} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{9}{125} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{17}{625} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{146}{625} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-9*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/125 + (2*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/25 - (146*Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/625 - (17*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/625","A",5,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2677,1,98,0,0.0289769,"\int \frac{\sqrt{1-2 x} \sqrt{2+3 x}}{\sqrt{3+5 x}} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/Sqrt[3 + 5*x],x]","\frac{2}{15} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{4}{75} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{31}{75} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{2}{15} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{4}{75} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{31}{75} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/15 - (31*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/75 - (4*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/75","A",4,4,28,0.1429,1,"{101, 158, 113, 119}"
2678,1,49,0,0.0125451,"\int \frac{\sqrt{1-2 x}}{\sqrt{2+3 x} \sqrt{3+5 x}} \, dx","Int[Sqrt[1 - 2*x]/(Sqrt[2 + 3*x]*Sqrt[3 + 5*x]),x]","\frac{2 \sqrt{\frac{7}{5}} \sqrt{-5 x-3} E\left(\sin ^{-1}\left(\sqrt{5} \sqrt{3 x+2}\right)|\frac{2}{35}\right)}{3 \sqrt{5 x+3}}","\frac{2 \sqrt{\frac{7}{5}} \sqrt{-5 x-3} E\left(\sin ^{-1}\left(\sqrt{5} \sqrt{3 x+2}\right)|\frac{2}{35}\right)}{3 \sqrt{5 x+3}}",1,"(2*Sqrt[7/5]*Sqrt[-3 - 5*x]*EllipticE[ArcSin[Sqrt[5]*Sqrt[2 + 3*x]], 2/35])/(3*Sqrt[3 + 5*x])","A",2,2,28,0.07143,1,"{114, 113}"
2679,1,61,0,0.0130648,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{\sqrt{3 x+2}}-2 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{\sqrt{3 x+2}}-2 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/Sqrt[2 + 3*x] - 2*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33]","A",3,3,28,0.1071,1,"{99, 21, 113}"
2680,1,129,0,0.0389347,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{136 \sqrt{1-2 x} \sqrt{5 x+3}}{21 \sqrt{3 x+2}}+\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{3 (3 x+2)^{3/2}}-\frac{4}{21} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{136}{21} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{136 \sqrt{1-2 x} \sqrt{5 x+3}}{21 \sqrt{3 x+2}}+\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{3 (3 x+2)^{3/2}}-\frac{4}{21} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{136}{21} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3*(2 + 3*x)^(3/2)) + (136*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(21*Sqrt[2 + 3*x]) - (136*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/21 - (4*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/21","A",5,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2681,1,158,0,0.0532224,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^{7/2} \sqrt{3+5 x}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^(7/2)*Sqrt[3 + 5*x]),x]","\frac{6388 \sqrt{1-2 x} \sqrt{5 x+3}}{245 \sqrt{3 x+2}}+\frac{92 \sqrt{1-2 x} \sqrt{5 x+3}}{35 (3 x+2)^{3/2}}+\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{5 (3 x+2)^{5/2}}-\frac{64}{245} \sqrt{33} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{6388}{245} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{6388 \sqrt{1-2 x} \sqrt{5 x+3}}{245 \sqrt{3 x+2}}+\frac{92 \sqrt{1-2 x} \sqrt{5 x+3}}{35 (3 x+2)^{3/2}}+\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{5 (3 x+2)^{5/2}}-\frac{64}{245} \sqrt{33} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{6388}{245} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(5*(2 + 3*x)^(5/2)) + (92*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(35*(2 + 3*x)^(3/2)) + (6388*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(245*Sqrt[2 + 3*x]) - (6388*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/245 - (64*Sqrt[33]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/245","A",6,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2682,1,189,0,0.0664199,"\int \frac{\sqrt{1-2 x} (2+3 x)^{7/2}}{(3+5 x)^{3/2}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^(7/2))/(3 + 5*x)^(3/2),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^{7/2}}{5 \sqrt{5 x+3}}+\frac{48}{175} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}+\frac{183 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{4375}-\frac{2486 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{21875}-\frac{38723 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375 \sqrt{33}}-\frac{203179 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{218750}","-\frac{2 \sqrt{1-2 x} (3 x+2)^{7/2}}{5 \sqrt{5 x+3}}+\frac{48}{175} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}+\frac{183 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{4375}-\frac{2486 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{21875}-\frac{38723 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375 \sqrt{33}}-\frac{203179 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{218750}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^(7/2))/(5*Sqrt[3 + 5*x]) - (2486*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/21875 + (183*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/4375 + (48*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/175 - (203179*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/218750 - (38723*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(109375*Sqrt[33])","A",7,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2683,1,158,0,0.0521164,"\int \frac{\sqrt{1-2 x} (2+3 x)^{5/2}}{(3+5 x)^{3/2}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(3 + 5*x)^(3/2),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^{5/2}}{5 \sqrt{5 x+3}}+\frac{36}{125} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}+\frac{13}{625} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{1091 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3125 \sqrt{33}}-\frac{1409 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3125}","-\frac{2 \sqrt{1-2 x} (3 x+2)^{5/2}}{5 \sqrt{5 x+3}}+\frac{36}{125} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}+\frac{13}{625} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{1091 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3125 \sqrt{33}}-\frac{1409 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3125}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(5*Sqrt[3 + 5*x]) + (13*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/625 + (36*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/125 - (1409*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3125 - (1091*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(3125*Sqrt[33])","A",6,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2684,1,127,0,0.0410169,"\int \frac{\sqrt{1-2 x} (2+3 x)^{3/2}}{(3+5 x)^{3/2}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(3 + 5*x)^(3/2),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^{3/2}}{5 \sqrt{5 x+3}}+\frac{8}{25} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{106 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{125 \sqrt{33}}-\frac{19}{125} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{1-2 x} (3 x+2)^{3/2}}{5 \sqrt{5 x+3}}+\frac{8}{25} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{106 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{125 \sqrt{33}}-\frac{19}{125} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(5*Sqrt[3 + 5*x]) + (8*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/25 - (19*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/125 - (106*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(125*Sqrt[33])","A",5,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2685,1,94,0,0.028009,"\int \frac{\sqrt{1-2 x} \sqrt{2+3 x}}{(3+5 x)^{3/2}} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3 + 5*x)^(3/2),x]","-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{5 \sqrt{5 x+3}}-\frac{62 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{25 \sqrt{33}}+\frac{4}{25} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{5 \sqrt{5 x+3}}-\frac{62 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{25 \sqrt{33}}+\frac{4}{25} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(5*Sqrt[3 + 5*x]) + (4*Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/25 - (62*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(25*Sqrt[33])","A",4,4,28,0.1429,1,"{97, 158, 113, 119}"
2686,1,61,0,0.0140328,"\int \frac{\sqrt{1-2 x}}{\sqrt{2+3 x} (3+5 x)^{3/2}} \, dx","Int[Sqrt[1 - 2*x]/(Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)),x]","2 \sqrt{\frac{7}{5}} E\left(\sin ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)|\frac{33}{35}\right)-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{\sqrt{5 x+3}}","2 \sqrt{\frac{7}{5}} E\left(\sin ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)|\frac{33}{35}\right)-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{\sqrt{5 x+3}}",1,"(-2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/Sqrt[3 + 5*x] + 2*Sqrt[7/5]*EllipticE[ArcSin[Sqrt[5/11]*Sqrt[1 - 2*x]], 33/35]","A",3,3,28,0.1071,1,"{99, 21, 113}"
2687,1,117,0,0.0381065,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)),x]","-\frac{20 \sqrt{1-2 x} \sqrt{3 x+2}}{\sqrt{5 x+3}}+\frac{2 \sqrt{1-2 x}}{\sqrt{3 x+2} \sqrt{5 x+3}}+\frac{4 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{\sqrt{33}}+4 \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{20 \sqrt{1-2 x} \sqrt{3 x+2}}{\sqrt{5 x+3}}+\frac{2 \sqrt{1-2 x}}{\sqrt{3 x+2} \sqrt{5 x+3}}+\frac{4 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{\sqrt{33}}+4 \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[1 - 2*x])/(Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (20*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/Sqrt[3 + 5*x] + 4*Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33] + (4*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/Sqrt[33]","A",5,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2688,1,158,0,0.0536074,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)),x]","-\frac{2780 \sqrt{1-2 x} \sqrt{3 x+2}}{21 \sqrt{5 x+3}}+\frac{92 \sqrt{1-2 x}}{7 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{2 \sqrt{1-2 x}}{3 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{184 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7 \sqrt{33}}+\frac{556}{7} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2780 \sqrt{1-2 x} \sqrt{3 x+2}}{21 \sqrt{5 x+3}}+\frac{92 \sqrt{1-2 x}}{7 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{2 \sqrt{1-2 x}}{3 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{184 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7 \sqrt{33}}+\frac{556}{7} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[1 - 2*x])/(3*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (92*Sqrt[1 - 2*x])/(7*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (2780*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(21*Sqrt[3 + 5*x]) + (556*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/7 + (184*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(7*Sqrt[33])","A",6,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2689,1,189,0,0.0657802,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^{7/2} (3+5 x)^{3/2}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^(7/2)*(3 + 5*x)^(3/2)),x]","-\frac{116464 \sqrt{1-2 x} \sqrt{3 x+2}}{147 \sqrt{5 x+3}}+\frac{19268 \sqrt{1-2 x}}{245 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{416 \sqrt{1-2 x}}{105 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{2 \sqrt{1-2 x}}{5 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{38536 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{245 \sqrt{33}}+\frac{116464}{245} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{116464 \sqrt{1-2 x} \sqrt{3 x+2}}{147 \sqrt{5 x+3}}+\frac{19268 \sqrt{1-2 x}}{245 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{416 \sqrt{1-2 x}}{105 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{2 \sqrt{1-2 x}}{5 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{38536 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{245 \sqrt{33}}+\frac{116464}{245} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[1 - 2*x])/(5*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]) + (416*Sqrt[1 - 2*x])/(105*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (19268*Sqrt[1 - 2*x])/(245*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (116464*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(147*Sqrt[3 + 5*x]) + (116464*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/245 + (38536*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(245*Sqrt[33])","A",7,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2690,1,218,0,0.0827641,"\int \frac{\sqrt{1-2 x} (2+3 x)^{9/2}}{(3+5 x)^{5/2}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^(9/2))/(3 + 5*x)^(5/2),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^{9/2}}{15 (5 x+3)^{3/2}}-\frac{118 \sqrt{1-2 x} (3 x+2)^{7/2}}{165 \sqrt{5 x+3}}+\frac{958 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}}{1925}+\frac{5153 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{48125}-\frac{12601 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{240625}-\frac{31288 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375 \sqrt{33}}-\frac{1473539 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{218750 \sqrt{33}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^{9/2}}{15 (5 x+3)^{3/2}}-\frac{118 \sqrt{1-2 x} (3 x+2)^{7/2}}{165 \sqrt{5 x+3}}+\frac{958 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}}{1925}+\frac{5153 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{48125}-\frac{12601 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{240625}-\frac{31288 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375 \sqrt{33}}-\frac{1473539 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{218750 \sqrt{33}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^(9/2))/(15*(3 + 5*x)^(3/2)) - (118*Sqrt[1 - 2*x]*(2 + 3*x)^(7/2))/(165*Sqrt[3 + 5*x]) - (12601*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/240625 + (5153*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/48125 + (958*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/1925 - (1473539*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(218750*Sqrt[33]) - (31288*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(109375*Sqrt[33])","A",8,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2691,1,189,0,0.0649342,"\int \frac{\sqrt{1-2 x} (2+3 x)^{7/2}}{(3+5 x)^{5/2}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^(7/2))/(3 + 5*x)^(5/2),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^{7/2}}{15 (5 x+3)^{3/2}}-\frac{458 \sqrt{1-2 x} (3 x+2)^{5/2}}{825 \sqrt{5 x+3}}+\frac{2818 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{6875}+\frac{2719 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{34375}-\frac{523 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15625}-\frac{47342 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15625 \sqrt{33}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^{7/2}}{15 (5 x+3)^{3/2}}-\frac{458 \sqrt{1-2 x} (3 x+2)^{5/2}}{825 \sqrt{5 x+3}}+\frac{2818 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{6875}+\frac{2719 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{34375}-\frac{523 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15625}-\frac{47342 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15625 \sqrt{33}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^(7/2))/(15*(3 + 5*x)^(3/2)) - (458*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(825*Sqrt[3 + 5*x]) + (2719*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/34375 + (2818*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/6875 - (47342*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(15625*Sqrt[33]) - (523*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/15625","A",7,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2692,1,156,0,0.0512513,"\int \frac{\sqrt{1-2 x} (2+3 x)^{5/2}}{(3+5 x)^{5/2}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(3 + 5*x)^(5/2),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^{5/2}}{15 (5 x+3)^{3/2}}-\frac{326 \sqrt{1-2 x} (3 x+2)^{3/2}}{825 \sqrt{5 x+3}}+\frac{458 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{1375}-\frac{496 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{625 \sqrt{33}}-\frac{169 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{625 \sqrt{33}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^{5/2}}{15 (5 x+3)^{3/2}}-\frac{326 \sqrt{1-2 x} (3 x+2)^{3/2}}{825 \sqrt{5 x+3}}+\frac{458 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{1375}-\frac{496 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{625 \sqrt{33}}-\frac{169 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{625 \sqrt{33}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(15*(3 + 5*x)^(3/2)) - (326*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(825*Sqrt[3 + 5*x]) + (458*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/1375 - (169*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(625*Sqrt[33]) - (496*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(625*Sqrt[33])","A",6,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2693,1,125,0,0.0404359,"\int \frac{\sqrt{1-2 x} (2+3 x)^{3/2}}{(3+5 x)^{5/2}} \, dx","Int[(Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(3 + 5*x)^(5/2),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^{3/2}}{15 (5 x+3)^{3/2}}-\frac{194 \sqrt{1-2 x} \sqrt{3 x+2}}{825 \sqrt{5 x+3}}-\frac{178 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{125 \sqrt{33}}+\frac{458 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{125 \sqrt{33}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^{3/2}}{15 (5 x+3)^{3/2}}-\frac{194 \sqrt{1-2 x} \sqrt{3 x+2}}{825 \sqrt{5 x+3}}-\frac{178 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{125 \sqrt{33}}+\frac{458 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{125 \sqrt{33}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(15*(3 + 5*x)^(3/2)) - (194*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(825*Sqrt[3 + 5*x]) + (458*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(125*Sqrt[33]) - (178*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(125*Sqrt[33])","A",5,5,28,0.1786,1,"{97, 150, 158, 113, 119}"
2694,1,125,0,0.0379855,"\int \frac{\sqrt{1-2 x} \sqrt{2+3 x}}{(3+5 x)^{5/2}} \, dx","Int[(Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3 + 5*x)^(5/2),x]","-\frac{62 \sqrt{1-2 x} \sqrt{3 x+2}}{165 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{15 (5 x+3)^{3/2}}+\frac{8 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{25 \sqrt{33}}+\frac{62 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{25 \sqrt{33}}","-\frac{62 \sqrt{1-2 x} \sqrt{3 x+2}}{165 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{15 (5 x+3)^{3/2}}+\frac{8 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{25 \sqrt{33}}+\frac{62 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{25 \sqrt{33}}",1,"(-2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(15*(3 + 5*x)^(3/2)) - (62*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(165*Sqrt[3 + 5*x]) + (62*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(25*Sqrt[33]) + (8*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(25*Sqrt[33])","A",5,5,28,0.1786,1,"{97, 152, 158, 113, 119}"
2695,1,125,0,0.0386686,"\int \frac{\sqrt{1-2 x}}{\sqrt{2+3 x} (3+5 x)^{5/2}} \, dx","Int[Sqrt[1 - 2*x]/(Sqrt[2 + 3*x]*(3 + 5*x)^(5/2)),x]","\frac{136 \sqrt{1-2 x} \sqrt{3 x+2}}{33 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{3 (5 x+3)^{3/2}}-\frac{4 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5 \sqrt{33}}-\frac{136 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5 \sqrt{33}}","\frac{136 \sqrt{1-2 x} \sqrt{3 x+2}}{33 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{3 (5 x+3)^{3/2}}-\frac{4 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5 \sqrt{33}}-\frac{136 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5 \sqrt{33}}",1,"(-2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3*(3 + 5*x)^(3/2)) + (136*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(33*Sqrt[3 + 5*x]) - (136*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(5*Sqrt[33]) - (4*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(5*Sqrt[33])","A",5,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2696,1,150,0,0.0534975,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^(3/2)*(3 + 5*x)^(5/2)),x]","\frac{2660 \sqrt{1-2 x} \sqrt{3 x+2}}{33 \sqrt{5 x+3}}-\frac{40 \sqrt{1-2 x} \sqrt{3 x+2}}{3 (5 x+3)^{3/2}}+\frac{2 \sqrt{1-2 x}}{\sqrt{3 x+2} (5 x+3)^{3/2}}-\frac{16 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{\sqrt{33}}-\frac{532 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{\sqrt{33}}","\frac{2660 \sqrt{1-2 x} \sqrt{3 x+2}}{33 \sqrt{5 x+3}}-\frac{40 \sqrt{1-2 x} \sqrt{3 x+2}}{3 (5 x+3)^{3/2}}+\frac{2 \sqrt{1-2 x}}{\sqrt{3 x+2} (5 x+3)^{3/2}}-\frac{16 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{\sqrt{33}}-\frac{532 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{\sqrt{33}}",1,"(2*Sqrt[1 - 2*x])/(Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (40*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3*(3 + 5*x)^(3/2)) + (2660*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(33*Sqrt[3 + 5*x]) - (532*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/Sqrt[33] - (16*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/Sqrt[33]","A",6,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2697,1,187,0,0.0669812,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{184840 \sqrt{1-2 x} \sqrt{3 x+2}}{231 \sqrt{5 x+3}}-\frac{2780 \sqrt{1-2 x} \sqrt{3 x+2}}{21 (5 x+3)^{3/2}}+\frac{416 \sqrt{1-2 x}}{21 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{2 \sqrt{1-2 x}}{3 (3 x+2)^{3/2} (5 x+3)^{3/2}}-\frac{1112 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7 \sqrt{33}}-\frac{36968 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7 \sqrt{33}}","\frac{184840 \sqrt{1-2 x} \sqrt{3 x+2}}{231 \sqrt{5 x+3}}-\frac{2780 \sqrt{1-2 x} \sqrt{3 x+2}}{21 (5 x+3)^{3/2}}+\frac{416 \sqrt{1-2 x}}{21 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{2 \sqrt{1-2 x}}{3 (3 x+2)^{3/2} (5 x+3)^{3/2}}-\frac{1112 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7 \sqrt{33}}-\frac{36968 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7 \sqrt{33}}",1,"(2*Sqrt[1 - 2*x])/(3*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (416*Sqrt[1 - 2*x])/(21*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (2780*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(21*(3 + 5*x)^(3/2)) + (184840*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(231*Sqrt[3 + 5*x]) - (36968*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(7*Sqrt[33]) - (1112*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(7*Sqrt[33])","A",7,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2698,1,218,0,0.0834373,"\int \frac{\sqrt{1-2 x}}{(2+3 x)^{7/2} (3+5 x)^{5/2}} \, dx","Int[Sqrt[1 - 2*x]/((2 + 3*x)^(7/2)*(3 + 5*x)^(5/2)),x]","\frac{10312712 \sqrt{1-2 x} \sqrt{3 x+2}}{1617 \sqrt{5 x+3}}-\frac{155104 \sqrt{1-2 x} \sqrt{3 x+2}}{147 (5 x+3)^{3/2}}+\frac{116044 \sqrt{1-2 x}}{735 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{556 \sqrt{1-2 x}}{105 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{2 \sqrt{1-2 x}}{5 (3 x+2)^{5/2} (5 x+3)^{3/2}}-\frac{310208 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{245 \sqrt{33}}-\frac{10312712 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{245 \sqrt{33}}","\frac{10312712 \sqrt{1-2 x} \sqrt{3 x+2}}{1617 \sqrt{5 x+3}}-\frac{155104 \sqrt{1-2 x} \sqrt{3 x+2}}{147 (5 x+3)^{3/2}}+\frac{116044 \sqrt{1-2 x}}{735 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{556 \sqrt{1-2 x}}{105 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{2 \sqrt{1-2 x}}{5 (3 x+2)^{5/2} (5 x+3)^{3/2}}-\frac{310208 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{245 \sqrt{33}}-\frac{10312712 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{245 \sqrt{33}}",1,"(2*Sqrt[1 - 2*x])/(5*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)) + (556*Sqrt[1 - 2*x])/(105*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (116044*Sqrt[1 - 2*x])/(735*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (155104*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(147*(3 + 5*x)^(3/2)) + (10312712*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(1617*Sqrt[3 + 5*x]) - (10312712*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(245*Sqrt[33]) - (310208*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(245*Sqrt[33])","A",8,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2699,1,218,0,0.0814899,"\int (1-2 x)^{3/2} (2+3 x)^{5/2} \sqrt{3+5 x} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x],x]","\frac{2}{55} (1-2 x)^{3/2} (5 x+3)^{3/2} (3 x+2)^{5/2}+\frac{178 \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{5/2}}{7425}+\frac{1103 \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{3/2}}{259875}-\frac{124891 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{2165625}-\frac{18177329 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{38981250}-\frac{18177329 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{17718750 \sqrt{33}}-\frac{604915631 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{17718750 \sqrt{33}}","\frac{2}{55} (1-2 x)^{3/2} (5 x+3)^{3/2} (3 x+2)^{5/2}+\frac{178 \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{5/2}}{7425}+\frac{1103 \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{3/2}}{259875}-\frac{124891 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{2165625}-\frac{18177329 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{38981250}-\frac{18177329 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{17718750 \sqrt{33}}-\frac{604915631 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{17718750 \sqrt{33}}",1,"(-18177329*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/38981250 - (124891*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/2165625 + (1103*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/259875 + (178*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2))/7425 + (2*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2))/55 - (604915631*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(17718750*Sqrt[33]) - (18177329*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(17718750*Sqrt[33])","A",8,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2700,1,191,0,0.0671685,"\int (1-2 x)^{3/2} (2+3 x)^{3/2} \sqrt{3+5 x} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x],x]","\frac{2}{45} (1-2 x)^{3/2} (3 x+2)^{3/2} (5 x+3)^{3/2}+\frac{62 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{3/2}}{1575}-\frac{347 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{39375}-\frac{84134 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{354375}-\frac{84134 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1771875}-\frac{5684677 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3543750}","\frac{2}{45} (1-2 x)^{3/2} (3 x+2)^{3/2} (5 x+3)^{3/2}+\frac{62 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{3/2}}{1575}-\frac{347 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{39375}-\frac{84134 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{354375}-\frac{84134 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1771875}-\frac{5684677 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3543750}",1,"(-84134*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/354375 - (347*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/39375 + (62*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/1575 + (2*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/45 - (5684677*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3543750 - (84134*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1771875","A",7,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2701,1,160,0,0.0508421,"\int (1-2 x)^{3/2} \sqrt{2+3 x} \sqrt{3+5 x} \, dx","Int[(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*Sqrt[3 + 5*x],x]","\frac{2}{35} (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{194 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{2625}-\frac{2657 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{23625}-\frac{2657 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{118125}-\frac{118898 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{118125}","\frac{2}{35} (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{194 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{2625}-\frac{2657 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{23625}-\frac{2657 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{118125}-\frac{118898 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{118125}",1,"(-2657*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/23625 + (194*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/2625 + (2*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/35 - (118898*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/118125 - (2657*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/118125","A",6,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2702,1,129,0,0.0391389,"\int \frac{(1-2 x)^{3/2} \sqrt{3+5 x}}{\sqrt{2+3 x}} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/Sqrt[2 + 3*x],x]","\frac{2}{15} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{214}{675} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{412 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3375}-\frac{4157 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3375}","\frac{2}{15} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{214}{675} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{412 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3375}-\frac{4157 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3375}",1,"(214*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/675 + (2*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/15 - (4157*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3375 + (412*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3375","A",5,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2703,1,129,0,0.0389768,"\int \frac{(1-2 x)^{3/2} \sqrt{3+5 x}}{(2+3 x)^{3/2}} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(2 + 3*x)^(3/2),x]","-\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{3 \sqrt{3 x+2}}-\frac{16}{27} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{214}{135} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{494}{135} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{3 \sqrt{3 x+2}}-\frac{16}{27} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{214}{135} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{494}{135} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(3*Sqrt[2 + 3*x]) - (16*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/27 + (494*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/135 - (214*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/135","A",5,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2704,1,129,0,0.0379771,"\int \frac{(1-2 x)^{3/2} \sqrt{3+5 x}}{(2+3 x)^{5/2}} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(2 + 3*x)^(5/2),x]","-\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{9 (3 x+2)^{3/2}}+\frac{82 \sqrt{5 x+3} \sqrt{1-2 x}}{27 \sqrt{3 x+2}}+\frac{16}{27} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{98}{27} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{9 (3 x+2)^{3/2}}+\frac{82 \sqrt{5 x+3} \sqrt{1-2 x}}{27 \sqrt{3 x+2}}+\frac{16}{27} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{98}{27} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(9*(2 + 3*x)^(3/2)) + (82*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(27*Sqrt[2 + 3*x]) - (98*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/27 + (16*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/27","A",5,5,28,0.1786,1,"{97, 150, 158, 113, 119}"
2705,1,160,0,0.0533367,"\int \frac{(1-2 x)^{3/2} \sqrt{3+5 x}}{(2+3 x)^{7/2}} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(2 + 3*x)^(7/2),x]","-\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{15 (3 x+2)^{5/2}}+\frac{3896 \sqrt{5 x+3} \sqrt{1-2 x}}{945 \sqrt{3 x+2}}+\frac{82 \sqrt{5 x+3} \sqrt{1-2 x}}{135 (3 x+2)^{3/2}}-\frac{164}{945} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{3896}{945} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{15 (3 x+2)^{5/2}}+\frac{3896 \sqrt{5 x+3} \sqrt{1-2 x}}{945 \sqrt{3 x+2}}+\frac{82 \sqrt{5 x+3} \sqrt{1-2 x}}{135 (3 x+2)^{3/2}}-\frac{164}{945} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{3896}{945} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(15*(2 + 3*x)^(5/2)) + (82*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(135*(2 + 3*x)^(3/2)) + (3896*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(945*Sqrt[2 + 3*x]) - (3896*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/945 - (164*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/945","A",6,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2706,1,191,0,0.0653806,"\int \frac{(1-2 x)^{3/2} \sqrt{3+5 x}}{(2+3 x)^{9/2}} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(2 + 3*x)^(9/2),x]","-\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{21 (3 x+2)^{7/2}}+\frac{595324 \sqrt{5 x+3} \sqrt{1-2 x}}{46305 \sqrt{3 x+2}}+\frac{8516 \sqrt{5 x+3} \sqrt{1-2 x}}{6615 (3 x+2)^{3/2}}+\frac{82 \sqrt{5 x+3} \sqrt{1-2 x}}{315 (3 x+2)^{5/2}}-\frac{18016 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{46305}-\frac{595324 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{46305}","-\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{21 (3 x+2)^{7/2}}+\frac{595324 \sqrt{5 x+3} \sqrt{1-2 x}}{46305 \sqrt{3 x+2}}+\frac{8516 \sqrt{5 x+3} \sqrt{1-2 x}}{6615 (3 x+2)^{3/2}}+\frac{82 \sqrt{5 x+3} \sqrt{1-2 x}}{315 (3 x+2)^{5/2}}-\frac{18016 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{46305}-\frac{595324 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{46305}",1,"(-2*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(21*(2 + 3*x)^(7/2)) + (82*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(315*(2 + 3*x)^(5/2)) + (8516*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(6615*(2 + 3*x)^(3/2)) + (595324*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(46305*Sqrt[2 + 3*x]) - (595324*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/46305 - (18016*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/46305","A",7,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2707,1,222,0,0.081889,"\int \frac{(1-2 x)^{3/2} \sqrt{3+5 x}}{(2+3 x)^{11/2}} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(2 + 3*x)^(11/2),x]","-\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{27 (3 x+2)^{9/2}}+\frac{42623864 \sqrt{5 x+3} \sqrt{1-2 x}}{972405 \sqrt{3 x+2}}+\frac{613276 \sqrt{5 x+3} \sqrt{1-2 x}}{138915 (3 x+2)^{3/2}}+\frac{13136 \sqrt{5 x+3} \sqrt{1-2 x}}{19845 (3 x+2)^{5/2}}+\frac{82 \sqrt{5 x+3} \sqrt{1-2 x}}{567 (3 x+2)^{7/2}}-\frac{1282376 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{972405}-\frac{42623864 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{972405}","-\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{27 (3 x+2)^{9/2}}+\frac{42623864 \sqrt{5 x+3} \sqrt{1-2 x}}{972405 \sqrt{3 x+2}}+\frac{613276 \sqrt{5 x+3} \sqrt{1-2 x}}{138915 (3 x+2)^{3/2}}+\frac{13136 \sqrt{5 x+3} \sqrt{1-2 x}}{19845 (3 x+2)^{5/2}}+\frac{82 \sqrt{5 x+3} \sqrt{1-2 x}}{567 (3 x+2)^{7/2}}-\frac{1282376 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{972405}-\frac{42623864 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{972405}",1,"(-2*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(27*(2 + 3*x)^(9/2)) + (82*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(567*(2 + 3*x)^(7/2)) + (13136*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(19845*(2 + 3*x)^(5/2)) + (613276*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(138915*(2 + 3*x)^(3/2)) + (42623864*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(972405*Sqrt[2 + 3*x]) - (42623864*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/972405 - (1282376*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/972405","A",8,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2708,1,249,0,0.0970553,"\int (1-2 x)^{3/2} (2+3 x)^{5/2} (3+5 x)^{3/2} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2),x]","\frac{2}{65} (1-2 x)^{3/2} (3 x+2)^{5/2} (5 x+3)^{5/2}+\frac{178 \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{5/2}}{10725}+\frac{601 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}}{160875}-\frac{18034 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{625625}-\frac{11725073 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{56306250}-\frac{776112041 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{506756250}-\frac{776112041 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{230343750 \sqrt{33}}-\frac{51601293223 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{460687500 \sqrt{33}}","\frac{2}{65} (1-2 x)^{3/2} (3 x+2)^{5/2} (5 x+3)^{5/2}+\frac{178 \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{5/2}}{10725}+\frac{601 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}}{160875}-\frac{18034 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{625625}-\frac{11725073 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{56306250}-\frac{776112041 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{506756250}-\frac{776112041 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{230343750 \sqrt{33}}-\frac{51601293223 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{460687500 \sqrt{33}}",1,"(-776112041*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/506756250 - (11725073*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/56306250 - (18034*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/625625 + (601*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/160875 + (178*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/10725 + (2*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/65 - (51601293223*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(460687500*Sqrt[33]) - (776112041*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(230343750*Sqrt[33])","A",9,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2709,1,218,0,0.0831646,"\int (1-2 x)^{3/2} (2+3 x)^{3/2} (3+5 x)^{3/2} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2),x]","\frac{2}{55} (1-2 x)^{3/2} (3 x+2)^{3/2} (5 x+3)^{5/2}+\frac{62 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}}{2475}-\frac{23 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{9625}-\frac{40703 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{433125}-\frac{5442127 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{7796250}-\frac{5442127 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3543750 \sqrt{33}}-\frac{90397364 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1771875 \sqrt{33}}","\frac{2}{55} (1-2 x)^{3/2} (3 x+2)^{3/2} (5 x+3)^{5/2}+\frac{62 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}}{2475}-\frac{23 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{9625}-\frac{40703 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{433125}-\frac{5442127 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{7796250}-\frac{5442127 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3543750 \sqrt{33}}-\frac{90397364 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1771875 \sqrt{33}}",1,"(-5442127*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/7796250 - (40703*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/433125 - (23*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/9625 + (62*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/2475 + (2*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/55 - (90397364*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1771875*Sqrt[33]) - (5442127*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(3543750*Sqrt[33])","A",8,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2710,1,191,0,0.068456,"\int (1-2 x)^{3/2} \sqrt{2+3 x} (3+5 x)^{3/2} \, dx","Int[(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2),x]","\frac{2}{45} (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{194 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{4725}-\frac{839 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{23625}-\frac{76163 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{212625}-\frac{76163 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1063125}-\frac{4971289 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2126250}","\frac{2}{45} (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{194 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{4725}-\frac{839 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{23625}-\frac{76163 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{212625}-\frac{76163 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1063125}-\frac{4971289 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2126250}",1,"(-76163*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/212625 - (839*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/23625 + (194*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/4725 + (2*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/45 - (4971289*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2126250 - (76163*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1063125","A",7,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2711,1,160,0,0.0534519,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{\sqrt{2+3 x}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/Sqrt[2 + 3*x],x]","\frac{2}{21} (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{74}{525} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{1847 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{4725}-\frac{1847 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{23625}-\frac{29933 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{23625}","\frac{2}{21} (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{74}{525} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{1847 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{4725}-\frac{1847 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{23625}-\frac{29933 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{23625}",1,"(-1847*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/4725 + (74*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/525 + (2*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/21 - (29933*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/23625 - (1847*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/23625","A",6,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2712,1,160,0,0.0531589,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^{3/2}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^(3/2),x]","-\frac{8}{15} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{3/2}}{3 \sqrt{3 x+2}}+\frac{494}{135} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{494}{675} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{2209}{675} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{8}{15} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{3/2}}{3 \sqrt{3 x+2}}+\frac{494}{135} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{494}{675} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{2209}{675} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(494*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/135 - (2*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(3*Sqrt[2 + 3*x]) - (8*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/15 - (2209*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/675 + (494*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/675","A",6,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2713,1,160,0,0.053147,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^{5/2}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^(5/2),x]","\frac{74 \sqrt{1-2 x} (5 x+3)^{3/2}}{9 \sqrt{3 x+2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{3/2}}{9 (3 x+2)^{3/2}}-\frac{1150}{81} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{230}{81} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{592}{81} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{74 \sqrt{1-2 x} (5 x+3)^{3/2}}{9 \sqrt{3 x+2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{3/2}}{9 (3 x+2)^{3/2}}-\frac{1150}{81} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{230}{81} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{592}{81} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-1150*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/81 - (2*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(9*(2 + 3*x)^(3/2)) + (74*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(9*Sqrt[2 + 3*x]) + (592*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/81 - (230*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/81","A",6,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2714,1,160,0,0.0495026,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^{7/2}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^(7/2),x]","\frac{74 \sqrt{1-2 x} (5 x+3)^{3/2}}{45 (3 x+2)^{3/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{3/2}}{15 (3 x+2)^{5/2}}+\frac{988 \sqrt{1-2 x} \sqrt{5 x+3}}{945 \sqrt{3 x+2}}+\frac{988}{945} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{4418}{945} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{74 \sqrt{1-2 x} (5 x+3)^{3/2}}{45 (3 x+2)^{3/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{3/2}}{15 (3 x+2)^{5/2}}+\frac{988 \sqrt{1-2 x} \sqrt{5 x+3}}{945 \sqrt{3 x+2}}+\frac{988}{945} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{4418}{945} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(988*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(945*Sqrt[2 + 3*x]) - (2*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(15*(2 + 3*x)^(5/2)) + (74*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(45*(2 + 3*x)^(3/2)) - (4418*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/945 + (988*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/945","A",6,5,28,0.1786,1,"{97, 150, 158, 113, 119}"
2715,1,191,0,0.0665454,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^{9/2}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^(9/2),x]","\frac{74 \sqrt{1-2 x} (5 x+3)^{3/2}}{105 (3 x+2)^{5/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{3/2}}{21 (3 x+2)^{7/2}}+\frac{119732 \sqrt{1-2 x} \sqrt{5 x+3}}{46305 \sqrt{3 x+2}}-\frac{3632 \sqrt{1-2 x} \sqrt{5 x+3}}{6615 (3 x+2)^{3/2}}-\frac{7388 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{46305}-\frac{119732 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{46305}","\frac{74 \sqrt{1-2 x} (5 x+3)^{3/2}}{105 (3 x+2)^{5/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{3/2}}{21 (3 x+2)^{7/2}}+\frac{119732 \sqrt{1-2 x} \sqrt{5 x+3}}{46305 \sqrt{3 x+2}}-\frac{3632 \sqrt{1-2 x} \sqrt{5 x+3}}{6615 (3 x+2)^{3/2}}-\frac{7388 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{46305}-\frac{119732 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{46305}",1,"(-3632*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(6615*(2 + 3*x)^(3/2)) + (119732*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(46305*Sqrt[2 + 3*x]) - (2*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(21*(2 + 3*x)^(7/2)) + (74*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(105*(2 + 3*x)^(5/2)) - (119732*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/46305 - (7388*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/46305","A",7,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2716,1,222,0,0.0798118,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^{11/2}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^(11/2),x]","\frac{74 \sqrt{1-2 x} (5 x+3)^{3/2}}{189 (3 x+2)^{7/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{3/2}}{27 (3 x+2)^{9/2}}+\frac{19885156 \sqrt{1-2 x} \sqrt{5 x+3}}{2917215 \sqrt{3 x+2}}+\frac{280904 \sqrt{1-2 x} \sqrt{5 x+3}}{416745 (3 x+2)^{3/2}}-\frac{8252 \sqrt{1-2 x} \sqrt{5 x+3}}{19845 (3 x+2)^{5/2}}-\frac{609304 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2917215}-\frac{19885156 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2917215}","\frac{74 \sqrt{1-2 x} (5 x+3)^{3/2}}{189 (3 x+2)^{7/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{3/2}}{27 (3 x+2)^{9/2}}+\frac{19885156 \sqrt{1-2 x} \sqrt{5 x+3}}{2917215 \sqrt{3 x+2}}+\frac{280904 \sqrt{1-2 x} \sqrt{5 x+3}}{416745 (3 x+2)^{3/2}}-\frac{8252 \sqrt{1-2 x} \sqrt{5 x+3}}{19845 (3 x+2)^{5/2}}-\frac{609304 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2917215}-\frac{19885156 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2917215}",1,"(-8252*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(19845*(2 + 3*x)^(5/2)) + (280904*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(416745*(2 + 3*x)^(3/2)) + (19885156*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2917215*Sqrt[2 + 3*x]) - (2*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(27*(2 + 3*x)^(9/2)) + (74*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(189*(2 + 3*x)^(7/2)) - (19885156*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2917215 - (609304*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2917215","A",8,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2717,1,249,0,0.0984128,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{3/2}}{(2+3 x)^{13/2}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^(13/2),x]","\frac{74 \sqrt{1-2 x} (5 x+3)^{3/2}}{297 (3 x+2)^{9/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{3/2}}{33 (3 x+2)^{11/2}}+\frac{1446357824 \sqrt{1-2 x} \sqrt{5 x+3}}{74875185 \sqrt{3 x+2}}+\frac{20799916 \sqrt{1-2 x} \sqrt{5 x+3}}{10696455 (3 x+2)^{3/2}}+\frac{442076 \sqrt{1-2 x} \sqrt{5 x+3}}{1528065 (3 x+2)^{5/2}}-\frac{12872 \sqrt{1-2 x} \sqrt{5 x+3}}{43659 (3 x+2)^{7/2}}-\frac{43537016 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6806835 \sqrt{33}}-\frac{1446357824 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6806835 \sqrt{33}}","\frac{74 \sqrt{1-2 x} (5 x+3)^{3/2}}{297 (3 x+2)^{9/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{3/2}}{33 (3 x+2)^{11/2}}+\frac{1446357824 \sqrt{1-2 x} \sqrt{5 x+3}}{74875185 \sqrt{3 x+2}}+\frac{20799916 \sqrt{1-2 x} \sqrt{5 x+3}}{10696455 (3 x+2)^{3/2}}+\frac{442076 \sqrt{1-2 x} \sqrt{5 x+3}}{1528065 (3 x+2)^{5/2}}-\frac{12872 \sqrt{1-2 x} \sqrt{5 x+3}}{43659 (3 x+2)^{7/2}}-\frac{43537016 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6806835 \sqrt{33}}-\frac{1446357824 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6806835 \sqrt{33}}",1,"(-12872*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(43659*(2 + 3*x)^(7/2)) + (442076*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1528065*(2 + 3*x)^(5/2)) + (20799916*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(10696455*(2 + 3*x)^(3/2)) + (1446357824*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(74875185*Sqrt[2 + 3*x]) - (2*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(33*(2 + 3*x)^(11/2)) + (74*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(297*(2 + 3*x)^(9/2)) - (1446357824*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(6806835*Sqrt[33]) - (43537016*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(6806835*Sqrt[33])","A",9,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2718,1,280,0,0.1179761,"\int (1-2 x)^{3/2} (2+3 x)^{5/2} (3+5 x)^{5/2} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2),x]","\frac{2}{75} (1-2 x)^{3/2} (3 x+2)^{5/2} (5 x+3)^{7/2}+\frac{178 \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{7/2}}{14625}+\frac{2503 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{7/2}}{804375}-\frac{199721 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}}{12065625}-\frac{57509209 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{506756250}-\frac{380132617 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{506756250}-\frac{50299451003 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{9121612500}-\frac{50299451003 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{4146187500 \sqrt{33}}-\frac{836091184171 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2073093750 \sqrt{33}}","\frac{2}{75} (1-2 x)^{3/2} (3 x+2)^{5/2} (5 x+3)^{7/2}+\frac{178 \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{7/2}}{14625}+\frac{2503 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{7/2}}{804375}-\frac{199721 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}}{12065625}-\frac{57509209 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{506756250}-\frac{380132617 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{506756250}-\frac{50299451003 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{9121612500}-\frac{50299451003 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{4146187500 \sqrt{33}}-\frac{836091184171 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2073093750 \sqrt{33}}",1,"(-50299451003*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/9121612500 - (380132617*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/506756250 - (57509209*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/506756250 - (199721*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(7/2))/12065625 + (2503*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(7/2))/804375 + (178*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(7/2))/14625 + (2*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(7/2))/75 - (836091184171*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(2073093750*Sqrt[33]) - (50299451003*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(4146187500*Sqrt[33])","A",10,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2719,1,249,0,0.1025121,"\int (1-2 x)^{3/2} (2+3 x)^{3/2} (3+5 x)^{5/2} \, dx","Int[(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2),x]","\frac{2}{65} (1-2 x)^{3/2} (3 x+2)^{3/2} (5 x+3)^{7/2}+\frac{62 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{7/2}}{3575}-\frac{67 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}}{160875}-\frac{160084 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{3378375}-\frac{2133359 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{6756750}-\frac{70536439 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{30405375}-\frac{70536439 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{13820625 \sqrt{33}}-\frac{9380126059 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{55282500 \sqrt{33}}","\frac{2}{65} (1-2 x)^{3/2} (3 x+2)^{3/2} (5 x+3)^{7/2}+\frac{62 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{7/2}}{3575}-\frac{67 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}}{160875}-\frac{160084 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{3378375}-\frac{2133359 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{6756750}-\frac{70536439 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{30405375}-\frac{70536439 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{13820625 \sqrt{33}}-\frac{9380126059 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{55282500 \sqrt{33}}",1,"(-70536439*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/30405375 - (2133359*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/6756750 - (160084*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/3378375 - (67*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(7/2))/160875 + (62*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(7/2))/3575 + (2*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(7/2))/65 - (9380126059*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(55282500*Sqrt[33]) - (70536439*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(13820625*Sqrt[33])","A",9,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2720,1,218,0,0.0832043,"\int (1-2 x)^{3/2} \sqrt{2+3 x} (3+5 x)^{5/2} \, dx","Int[(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2),x]","\frac{2}{55} (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{7/2}+\frac{194 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}}{7425}-\frac{2377 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{155925}-\frac{22576 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{155925}-\frac{2930159 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{2806650}-\frac{2930159 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1275750 \sqrt{33}}-\frac{97540001 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1275750 \sqrt{33}}","\frac{2}{55} (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{7/2}+\frac{194 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}}{7425}-\frac{2377 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{155925}-\frac{22576 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{155925}-\frac{2930159 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{2806650}-\frac{2930159 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1275750 \sqrt{33}}-\frac{97540001 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1275750 \sqrt{33}}",1,"(-2930159*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/2806650 - (22576*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/155925 - (2377*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/155925 + (194*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(7/2))/7425 + (2*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(7/2))/55 - (97540001*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1275750*Sqrt[33]) - (2930159*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1275750*Sqrt[33])","A",8,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2721,1,191,0,0.0673405,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{\sqrt{2+3 x}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/Sqrt[2 + 3*x],x]","\frac{2}{27} (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{46}{567} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{499 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{2835}-\frac{11908 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{25515}-\frac{11908 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{127575}-\frac{886499 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{255150}","\frac{2}{27} (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{46}{567} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{499 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{2835}-\frac{11908 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{25515}-\frac{11908 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{127575}-\frac{886499 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{255150}",1,"(-11908*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/25515 - (499*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/2835 + (46*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/567 + (2*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/27 - (886499*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/255150 - (11908*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/127575","A",7,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2722,1,191,0,0.0678339,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^{3/2}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(3/2),x]","-\frac{32}{63} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{5/2}}{3 \sqrt{3 x+2}}+\frac{202}{63} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{1061}{567} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{1061 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2835}-\frac{2894 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2835}","-\frac{32}{63} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{5/2}}{3 \sqrt{3 x+2}}+\frac{202}{63} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{1061}{567} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{1061 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2835}-\frac{2894 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2835}",1,"(-1061*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/567 + (202*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/63 - (2*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(3*Sqrt[2 + 3*x]) - (32*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/63 - (2894*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2835 - (1061*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2835","A",7,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2723,1,191,0,0.0726885,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^{5/2}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(5/2),x]","\frac{362 \sqrt{1-2 x} (5 x+3)^{5/2}}{27 \sqrt{3 x+2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{5/2}}{9 (3 x+2)^{3/2}}-\frac{614}{27} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{2632}{243} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{2632 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1215}-\frac{9587 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1215}","\frac{362 \sqrt{1-2 x} (5 x+3)^{5/2}}{27 \sqrt{3 x+2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{5/2}}{9 (3 x+2)^{3/2}}-\frac{614}{27} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{2632}{243} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{2632 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1215}-\frac{9587 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1215}",1,"(2632*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/243 - (614*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/27 - (2*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(9*(2 + 3*x)^(3/2)) + (362*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(27*Sqrt[2 + 3*x]) - (9587*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1215 + (2632*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1215","A",7,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2724,1,191,0,0.0639246,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^{7/2}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(7/2),x]","\frac{362 \sqrt{1-2 x} (5 x+3)^{5/2}}{135 (3 x+2)^{3/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{5/2}}{15 (3 x+2)^{5/2}}+\frac{9808 \sqrt{1-2 x} (5 x+3)^{3/2}}{945 \sqrt{3 x+2}}-\frac{43214 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{1701}-\frac{43214 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8505}+\frac{116854 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8505}","\frac{362 \sqrt{1-2 x} (5 x+3)^{5/2}}{135 (3 x+2)^{3/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{5/2}}{15 (3 x+2)^{5/2}}+\frac{9808 \sqrt{1-2 x} (5 x+3)^{3/2}}{945 \sqrt{3 x+2}}-\frac{43214 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{1701}-\frac{43214 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8505}+\frac{116854 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8505}",1,"(-43214*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/1701 + (9808*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(945*Sqrt[2 + 3*x]) - (2*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(15*(2 + 3*x)^(5/2)) + (362*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(135*(2 + 3*x)^(3/2)) + (116854*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/8505 - (43214*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/8505","A",7,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2725,1,191,0,0.0650683,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^{9/2}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(9/2),x]","\frac{362 \sqrt{1-2 x} (5 x+3)^{5/2}}{315 (3 x+2)^{5/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{5/2}}{21 (3 x+2)^{7/2}}+\frac{2108 \sqrt{1-2 x} (5 x+3)^{3/2}}{6615 (3 x+2)^{3/2}}+\frac{249448 \sqrt{1-2 x} \sqrt{5 x+3}}{138915 \sqrt{3 x+2}}+\frac{249448 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{138915}-\frac{962678 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{138915}","\frac{362 \sqrt{1-2 x} (5 x+3)^{5/2}}{315 (3 x+2)^{5/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{5/2}}{21 (3 x+2)^{7/2}}+\frac{2108 \sqrt{1-2 x} (5 x+3)^{3/2}}{6615 (3 x+2)^{3/2}}+\frac{249448 \sqrt{1-2 x} \sqrt{5 x+3}}{138915 \sqrt{3 x+2}}+\frac{249448 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{138915}-\frac{962678 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{138915}",1,"(249448*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(138915*Sqrt[2 + 3*x]) + (2108*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(6615*(2 + 3*x)^(3/2)) - (2*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(21*(2 + 3*x)^(7/2)) + (362*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(315*(2 + 3*x)^(5/2)) - (962678*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/138915 + (249448*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/138915","A",7,5,28,0.1786,1,"{97, 150, 158, 113, 119}"
2726,1,222,0,0.0799221,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^{11/2}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(11/2),x]","\frac{362 \sqrt{1-2 x} (5 x+3)^{5/2}}{567 (3 x+2)^{7/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{5/2}}{27 (3 x+2)^{9/2}}-\frac{1864 \sqrt{1-2 x} (5 x+3)^{3/2}}{6615 (3 x+2)^{5/2}}+\frac{17830424 \sqrt{1-2 x} \sqrt{5 x+3}}{8751645 \sqrt{3 x+2}}-\frac{558524 \sqrt{1-2 x} \sqrt{5 x+3}}{1250235 (3 x+2)^{3/2}}-\frac{1717916 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8751645}-\frac{17830424 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8751645}","\frac{362 \sqrt{1-2 x} (5 x+3)^{5/2}}{567 (3 x+2)^{7/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{5/2}}{27 (3 x+2)^{9/2}}-\frac{1864 \sqrt{1-2 x} (5 x+3)^{3/2}}{6615 (3 x+2)^{5/2}}+\frac{17830424 \sqrt{1-2 x} \sqrt{5 x+3}}{8751645 \sqrt{3 x+2}}-\frac{558524 \sqrt{1-2 x} \sqrt{5 x+3}}{1250235 (3 x+2)^{3/2}}-\frac{1717916 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8751645}-\frac{17830424 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8751645}",1,"(-558524*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1250235*(2 + 3*x)^(3/2)) + (17830424*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(8751645*Sqrt[2 + 3*x]) - (1864*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(6615*(2 + 3*x)^(5/2)) - (2*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(27*(2 + 3*x)^(9/2)) + (362*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(567*(2 + 3*x)^(7/2)) - (17830424*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/8751645 - (1717916*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/8751645","A",8,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2727,1,249,0,0.0967433,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^{13/2}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(13/2),x]","\frac{362 \sqrt{1-2 x} (5 x+3)^{5/2}}{891 (3 x+2)^{9/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{5/2}}{33 (3 x+2)^{11/2}}-\frac{13292 \sqrt{1-2 x} (5 x+3)^{3/2}}{43659 (3 x+2)^{7/2}}+\frac{3316711588 \sqrt{1-2 x} \sqrt{5 x+3}}{673876665 \sqrt{3 x+2}}+\frac{45748292 \sqrt{1-2 x} \sqrt{5 x+3}}{96268095 (3 x+2)^{3/2}}-\frac{1366496 \sqrt{1-2 x} \sqrt{5 x+3}}{4584195 (3 x+2)^{5/2}}-\frac{103970992 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{61261515 \sqrt{33}}-\frac{3316711588 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{61261515 \sqrt{33}}","\frac{362 \sqrt{1-2 x} (5 x+3)^{5/2}}{891 (3 x+2)^{9/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{5/2}}{33 (3 x+2)^{11/2}}-\frac{13292 \sqrt{1-2 x} (5 x+3)^{3/2}}{43659 (3 x+2)^{7/2}}+\frac{3316711588 \sqrt{1-2 x} \sqrt{5 x+3}}{673876665 \sqrt{3 x+2}}+\frac{45748292 \sqrt{1-2 x} \sqrt{5 x+3}}{96268095 (3 x+2)^{3/2}}-\frac{1366496 \sqrt{1-2 x} \sqrt{5 x+3}}{4584195 (3 x+2)^{5/2}}-\frac{103970992 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{61261515 \sqrt{33}}-\frac{3316711588 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{61261515 \sqrt{33}}",1,"(-1366496*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(4584195*(2 + 3*x)^(5/2)) + (45748292*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(96268095*(2 + 3*x)^(3/2)) + (3316711588*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(673876665*Sqrt[2 + 3*x]) - (13292*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(43659*(2 + 3*x)^(7/2)) - (2*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(33*(2 + 3*x)^(11/2)) + (362*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(891*(2 + 3*x)^(9/2)) - (3316711588*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(61261515*Sqrt[33]) - (103970992*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(61261515*Sqrt[33])","A",9,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2728,1,280,0,0.1173057,"\int \frac{(1-2 x)^{3/2} (3+5 x)^{5/2}}{(2+3 x)^{15/2}} \, dx","Int[((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(15/2),x]","\frac{362 \sqrt{1-2 x} (5 x+3)^{5/2}}{1287 (3 x+2)^{11/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{5/2}}{39 (3 x+2)^{13/2}}-\frac{20992 \sqrt{1-2 x} (5 x+3)^{3/2}}{81081 (3 x+2)^{9/2}}+\frac{245282464136 \sqrt{1-2 x} \sqrt{5 x+3}}{20440925505 \sqrt{3 x+2}}+\frac{3523482724 \sqrt{1-2 x} \sqrt{5 x+3}}{2920132215 (3 x+2)^{3/2}}+\frac{73596464 \sqrt{1-2 x} \sqrt{5 x+3}}{417161745 (3 x+2)^{5/2}}-\frac{2174468 \sqrt{1-2 x} \sqrt{5 x+3}}{11918907 (3 x+2)^{7/2}}-\frac{7391549624 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1858265955 \sqrt{33}}-\frac{245282464136 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1858265955 \sqrt{33}}","\frac{362 \sqrt{1-2 x} (5 x+3)^{5/2}}{1287 (3 x+2)^{11/2}}-\frac{2 (1-2 x)^{3/2} (5 x+3)^{5/2}}{39 (3 x+2)^{13/2}}-\frac{20992 \sqrt{1-2 x} (5 x+3)^{3/2}}{81081 (3 x+2)^{9/2}}+\frac{245282464136 \sqrt{1-2 x} \sqrt{5 x+3}}{20440925505 \sqrt{3 x+2}}+\frac{3523482724 \sqrt{1-2 x} \sqrt{5 x+3}}{2920132215 (3 x+2)^{3/2}}+\frac{73596464 \sqrt{1-2 x} \sqrt{5 x+3}}{417161745 (3 x+2)^{5/2}}-\frac{2174468 \sqrt{1-2 x} \sqrt{5 x+3}}{11918907 (3 x+2)^{7/2}}-\frac{7391549624 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1858265955 \sqrt{33}}-\frac{245282464136 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1858265955 \sqrt{33}}",1,"(-2174468*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(11918907*(2 + 3*x)^(7/2)) + (73596464*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(417161745*(2 + 3*x)^(5/2)) + (3523482724*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2920132215*(2 + 3*x)^(3/2)) + (245282464136*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(20440925505*Sqrt[2 + 3*x]) - (20992*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(81081*(2 + 3*x)^(9/2)) - (2*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(39*(2 + 3*x)^(13/2)) + (362*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(1287*(2 + 3*x)^(11/2)) - (245282464136*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1858265955*Sqrt[33]) - (7391549624*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1858265955*Sqrt[33])","A",10,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2729,1,191,0,0.0689408,"\int \frac{(1-2 x)^{3/2} (2+3 x)^{5/2}}{\sqrt{3+5 x}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^(5/2))/Sqrt[3 + 5*x],x]","\frac{2}{45} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^{5/2}+\frac{178 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}}{4725}+\frac{403 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{118125}-\frac{87476 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{590625}-\frac{104663 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2953125}-\frac{6515539 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5906250}","\frac{2}{45} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^{5/2}+\frac{178 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}}{4725}+\frac{403 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{118125}-\frac{87476 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{590625}-\frac{104663 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2953125}-\frac{6515539 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5906250}",1,"(-87476*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/590625 + (403*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/118125 + (178*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/4725 + (2*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/45 - (6515539*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5906250 - (104663*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2953125","A",7,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2730,1,160,0,0.0511693,"\int \frac{(1-2 x)^{3/2} (2+3 x)^{3/2}}{\sqrt{3+5 x}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^(3/2))/Sqrt[3 + 5*x],x]","\frac{2}{35} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^{3/2}+\frac{62}{875} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{487 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{13125}-\frac{2281 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{65625}-\frac{46159 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{65625}","\frac{2}{35} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^{3/2}+\frac{62}{875} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{487 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{13125}-\frac{2281 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{65625}-\frac{46159 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{65625}",1,"(-487*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/13125 + (62*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/875 + (2*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/35 - (46159*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/65625 - (2281*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/65625","A",6,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2731,1,129,0,0.0392476,"\int \frac{(1-2 x)^{3/2} \sqrt{2+3 x}}{\sqrt{3+5 x}} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[2 + 3*x])/Sqrt[3 + 5*x],x]","\frac{2}{25} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{194 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{1125}-\frac{598 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5625}-\frac{2797 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5625}","\frac{2}{25} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{194 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{1125}-\frac{598 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5625}-\frac{2797 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5625}",1,"(194*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/1125 + (2*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/25 - (2797*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5625 - (598*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5625","A",5,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2732,1,98,0,0.0294153,"\int \frac{(1-2 x)^{3/2}}{\sqrt{2+3 x} \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(3/2)/(Sqrt[2 + 3*x]*Sqrt[3 + 5*x]),x]","-\frac{4}{45} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{202}{225} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{272}{225} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{4}{45} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{202}{225} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{272}{225} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-4*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/45 + (272*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/225 - (202*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/225","A",4,4,28,0.1429,1,"{102, 158, 113, 119}"
2733,1,98,0,0.027899,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{14 \sqrt{1-2 x} \sqrt{5 x+3}}{3 \sqrt{3 x+2}}+\frac{4}{15} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{74}{15} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{14 \sqrt{1-2 x} \sqrt{5 x+3}}{3 \sqrt{3 x+2}}+\frac{4}{15} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{74}{15} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3*Sqrt[2 + 3*x]) - (74*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/15 + (4*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/15","A",4,4,28,0.1429,1,"{98, 158, 113, 119}"
2734,1,129,0,0.0379736,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{124 \sqrt{1-2 x} \sqrt{5 x+3}}{9 \sqrt{3 x+2}}+\frac{14 \sqrt{1-2 x} \sqrt{5 x+3}}{9 (3 x+2)^{3/2}}-\frac{4}{9} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{124}{9} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{124 \sqrt{1-2 x} \sqrt{5 x+3}}{9 \sqrt{3 x+2}}+\frac{14 \sqrt{1-2 x} \sqrt{5 x+3}}{9 (3 x+2)^{3/2}}-\frac{4}{9} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{124}{9} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(9*(2 + 3*x)^(3/2)) + (124*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(9*Sqrt[2 + 3*x]) - (124*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/9 - (4*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/9","A",5,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2735,1,160,0,0.0505427,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^{7/2} \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^(7/2)*Sqrt[3 + 5*x]),x]","\frac{17804 \sqrt{1-2 x} \sqrt{5 x+3}}{315 \sqrt{3 x+2}}+\frac{256 \sqrt{1-2 x} \sqrt{5 x+3}}{45 (3 x+2)^{3/2}}+\frac{14 \sqrt{1-2 x} \sqrt{5 x+3}}{15 (3 x+2)^{5/2}}-\frac{536}{315} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{17804}{315} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{17804 \sqrt{1-2 x} \sqrt{5 x+3}}{315 \sqrt{3 x+2}}+\frac{256 \sqrt{1-2 x} \sqrt{5 x+3}}{45 (3 x+2)^{3/2}}+\frac{14 \sqrt{1-2 x} \sqrt{5 x+3}}{15 (3 x+2)^{5/2}}-\frac{536}{315} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{17804}{315} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(15*(2 + 3*x)^(5/2)) + (256*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(45*(2 + 3*x)^(3/2)) + (17804*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(315*Sqrt[2 + 3*x]) - (17804*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/315 - (536*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/315","A",6,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2736,1,191,0,0.065468,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^{9/2} \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^(9/2)*Sqrt[3 + 5*x]),x]","\frac{1255552 \sqrt{1-2 x} \sqrt{5 x+3}}{5145 \sqrt{3 x+2}}+\frac{18068 \sqrt{1-2 x} \sqrt{5 x+3}}{735 (3 x+2)^{3/2}}+\frac{388 \sqrt{1-2 x} \sqrt{5 x+3}}{105 (3 x+2)^{5/2}}+\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{3 (3 x+2)^{7/2}}-\frac{37768 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5145}-\frac{1255552 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5145}","\frac{1255552 \sqrt{1-2 x} \sqrt{5 x+3}}{5145 \sqrt{3 x+2}}+\frac{18068 \sqrt{1-2 x} \sqrt{5 x+3}}{735 (3 x+2)^{3/2}}+\frac{388 \sqrt{1-2 x} \sqrt{5 x+3}}{105 (3 x+2)^{5/2}}+\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{3 (3 x+2)^{7/2}}-\frac{37768 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5145}-\frac{1255552 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5145}",1,"(2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3*(2 + 3*x)^(7/2)) + (388*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(105*(2 + 3*x)^(5/2)) + (18068*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(735*(2 + 3*x)^(3/2)) + (1255552*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(5145*Sqrt[2 + 3*x]) - (1255552*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5145 - (37768*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5145","A",7,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2737,1,222,0,0.0820457,"\int \frac{(1-2 x)^{3/2} (2+3 x)^{7/2}}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^(7/2))/(3 + 5*x)^(3/2),x]","-\frac{8}{45} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{7/2}-\frac{2 (1-2 x)^{3/2} (3 x+2)^{7/2}}{5 \sqrt{5 x+3}}+\frac{958 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}}{1575}+\frac{5153 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{39375}-\frac{12601 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{196875}-\frac{31288 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{984375}-\frac{1473539 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1968750}","-\frac{8}{45} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{7/2}-\frac{2 (1-2 x)^{3/2} (3 x+2)^{7/2}}{5 \sqrt{5 x+3}}+\frac{958 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}}{1575}+\frac{5153 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{39375}-\frac{12601 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{196875}-\frac{31288 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{984375}-\frac{1473539 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1968750}",1,"(-2*(1 - 2*x)^(3/2)*(2 + 3*x)^(7/2))/(5*Sqrt[3 + 5*x]) - (12601*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/196875 + (5153*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/39375 + (958*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/1575 - (8*Sqrt[1 - 2*x]*(2 + 3*x)^(7/2)*Sqrt[3 + 5*x])/45 - (1473539*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1968750 - (31288*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/984375","A",8,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2738,1,191,0,0.0656417,"\int \frac{(1-2 x)^{3/2} (2+3 x)^{5/2}}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^(5/2))/(3 + 5*x)^(3/2),x]","-\frac{32}{175} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}-\frac{2 (1-2 x)^{3/2} (3 x+2)^{5/2}}{5 \sqrt{5 x+3}}+\frac{2818 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{4375}+\frac{2719 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{21875}-\frac{5753 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375}-\frac{47342 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375}","-\frac{32}{175} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}-\frac{2 (1-2 x)^{3/2} (3 x+2)^{5/2}}{5 \sqrt{5 x+3}}+\frac{2818 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{4375}+\frac{2719 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{21875}-\frac{5753 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375}-\frac{47342 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375}",1,"(-2*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2))/(5*Sqrt[3 + 5*x]) + (2719*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/21875 + (2818*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/4375 - (32*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/175 - (47342*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/109375 - (5753*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/109375","A",7,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2739,1,160,0,0.0533548,"\int \frac{(1-2 x)^{3/2} (2+3 x)^{3/2}}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^(3/2))/(3 + 5*x)^(3/2),x]","-\frac{24}{125} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{2 (1-2 x)^{3/2} (3 x+2)^{3/2}}{5 \sqrt{5 x+3}}+\frac{458}{625} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{496 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3125}-\frac{169 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3125}","-\frac{24}{125} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{2 (1-2 x)^{3/2} (3 x+2)^{3/2}}{5 \sqrt{5 x+3}}+\frac{458}{625} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{496 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3125}-\frac{169 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3125}",1,"(-2*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2))/(5*Sqrt[3 + 5*x]) + (458*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/625 - (24*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/125 - (169*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3125 - (496*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3125","A",6,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2740,1,129,0,0.0386915,"\int \frac{(1-2 x)^{3/2} \sqrt{2+3 x}}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[2 + 3*x])/(3 + 5*x)^(3/2),x]","-\frac{2 \sqrt{3 x+2} (1-2 x)^{3/2}}{5 \sqrt{5 x+3}}-\frac{16}{75} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{178}{375} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{458}{375} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{3 x+2} (1-2 x)^{3/2}}{5 \sqrt{5 x+3}}-\frac{16}{75} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{178}{375} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{458}{375} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x])/(5*Sqrt[3 + 5*x]) - (16*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/75 + (458*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/375 - (178*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/375","A",5,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2741,1,98,0,0.0277785,"\int \frac{(1-2 x)^{3/2}}{\sqrt{2+3 x} (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(3/2)/(Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)),x]","-\frac{22 \sqrt{1-2 x} \sqrt{3 x+2}}{5 \sqrt{5 x+3}}+\frac{8}{25} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{62}{25} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{22 \sqrt{1-2 x} \sqrt{3 x+2}}{5 \sqrt{5 x+3}}+\frac{8}{25} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{62}{25} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-22*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(5*Sqrt[3 + 5*x]) + (62*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/25 + (8*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/25","A",4,4,28,0.1429,1,"{98, 158, 113, 119}"
2742,1,129,0,0.0372533,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)),x]","-\frac{136 \sqrt{1-2 x} \sqrt{3 x+2}}{3 \sqrt{5 x+3}}+\frac{14 \sqrt{1-2 x}}{3 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{4}{5} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{136}{5} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{136 \sqrt{1-2 x} \sqrt{3 x+2}}{3 \sqrt{5 x+3}}+\frac{14 \sqrt{1-2 x}}{3 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{4}{5} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{136}{5} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*Sqrt[1 - 2*x])/(3*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (136*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3*Sqrt[3 + 5*x]) + (136*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5 + (4*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5","A",5,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2743,1,160,0,0.052417,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)),x]","-\frac{2660 \sqrt{1-2 x} \sqrt{3 x+2}}{9 \sqrt{5 x+3}}+\frac{88 \sqrt{1-2 x}}{3 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{14 \sqrt{1-2 x}}{9 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{16}{3} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{532}{3} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2660 \sqrt{1-2 x} \sqrt{3 x+2}}{9 \sqrt{5 x+3}}+\frac{88 \sqrt{1-2 x}}{3 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{14 \sqrt{1-2 x}}{9 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{16}{3} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{532}{3} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*Sqrt[1 - 2*x])/(9*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (88*Sqrt[1 - 2*x])/(3*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (2660*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(9*Sqrt[3 + 5*x]) + (532*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3 + (16*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3","A",6,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2744,1,191,0,0.0690799,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^{7/2} (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^(7/2)*(3 + 5*x)^(3/2)),x]","-\frac{36968 \sqrt{1-2 x} \sqrt{3 x+2}}{21 \sqrt{5 x+3}}+\frac{6116 \sqrt{1-2 x}}{35 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{44 \sqrt{1-2 x}}{5 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{14 \sqrt{1-2 x}}{15 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{1112}{35} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{36968}{35} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{36968 \sqrt{1-2 x} \sqrt{3 x+2}}{21 \sqrt{5 x+3}}+\frac{6116 \sqrt{1-2 x}}{35 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{44 \sqrt{1-2 x}}{5 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{14 \sqrt{1-2 x}}{15 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{1112}{35} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{36968}{35} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*Sqrt[1 - 2*x])/(15*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]) + (44*Sqrt[1 - 2*x])/(5*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (6116*Sqrt[1 - 2*x])/(35*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (36968*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(21*Sqrt[3 + 5*x]) + (36968*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/35 + (1112*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/35","A",7,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2745,1,222,0,0.0827338,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^{9/2} (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^(9/2)*(3 + 5*x)^(3/2)),x]","-\frac{10312712 \sqrt{1-2 x} \sqrt{3 x+2}}{1029 \sqrt{5 x+3}}+\frac{1706144 \sqrt{1-2 x}}{1715 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{12276 \sqrt{1-2 x}}{245 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{176 \sqrt{1-2 x}}{35 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{2 \sqrt{1-2 x}}{3 (3 x+2)^{7/2} \sqrt{5 x+3}}+\frac{310208 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715}+\frac{10312712 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715}","-\frac{10312712 \sqrt{1-2 x} \sqrt{3 x+2}}{1029 \sqrt{5 x+3}}+\frac{1706144 \sqrt{1-2 x}}{1715 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{12276 \sqrt{1-2 x}}{245 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{176 \sqrt{1-2 x}}{35 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{2 \sqrt{1-2 x}}{3 (3 x+2)^{7/2} \sqrt{5 x+3}}+\frac{310208 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715}+\frac{10312712 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715}",1,"(2*Sqrt[1 - 2*x])/(3*(2 + 3*x)^(7/2)*Sqrt[3 + 5*x]) + (176*Sqrt[1 - 2*x])/(35*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]) + (12276*Sqrt[1 - 2*x])/(245*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (1706144*Sqrt[1 - 2*x])/(1715*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (10312712*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(1029*Sqrt[3 + 5*x]) + (10312712*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1715 + (310208*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1715","A",8,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2746,1,220,0,0.083194,"\int \frac{(1-2 x)^{3/2} (2+3 x)^{7/2}}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^(7/2))/(3 + 5*x)^(5/2),x]","-\frac{6 \sqrt{1-2 x} (3 x+2)^{7/2}}{\sqrt{5 x+3}}-\frac{2 (1-2 x)^{3/2} (3 x+2)^{7/2}}{15 (5 x+3)^{3/2}}+\frac{622}{175} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}+\frac{3872 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{4375}+\frac{4801 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{21875}-\frac{24369 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375}-\frac{25643 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375}","-\frac{6 \sqrt{1-2 x} (3 x+2)^{7/2}}{\sqrt{5 x+3}}-\frac{2 (1-2 x)^{3/2} (3 x+2)^{7/2}}{15 (5 x+3)^{3/2}}+\frac{622}{175} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}+\frac{3872 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{4375}+\frac{4801 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{21875}-\frac{24369 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375}-\frac{25643 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375}",1,"(-2*(1 - 2*x)^(3/2)*(2 + 3*x)^(7/2))/(15*(3 + 5*x)^(3/2)) - (6*Sqrt[1 - 2*x]*(2 + 3*x)^(7/2))/Sqrt[3 + 5*x] + (4801*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/21875 + (3872*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/4375 + (622*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/175 - (25643*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/109375 - (24369*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/109375","A",8,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2747,1,191,0,0.0673948,"\int \frac{(1-2 x)^{3/2} (2+3 x)^{5/2}}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^(5/2))/(3 + 5*x)^(5/2),x]","-\frac{106 \sqrt{1-2 x} (3 x+2)^{5/2}}{25 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{3/2} (3 x+2)^{5/2}}{15 (5 x+3)^{3/2}}+\frac{1558}{625} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}+\frac{2264 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{3125}-\frac{8366 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15625}+\frac{1973 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15625}","-\frac{106 \sqrt{1-2 x} (3 x+2)^{5/2}}{25 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{3/2} (3 x+2)^{5/2}}{15 (5 x+3)^{3/2}}+\frac{1558}{625} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}+\frac{2264 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{3125}-\frac{8366 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15625}+\frac{1973 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15625}",1,"(-2*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2))/(15*(3 + 5*x)^(3/2)) - (106*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(25*Sqrt[3 + 5*x]) + (2264*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/3125 + (1558*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/625 + (1973*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/15625 - (8366*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/15625","A",7,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2748,1,160,0,0.0535004,"\int \frac{(1-2 x)^{3/2} (2+3 x)^{3/2}}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(3/2)*(2 + 3*x)^(3/2))/(3 + 5*x)^(5/2),x]","-\frac{62 \sqrt{1-2 x} (3 x+2)^{3/2}}{25 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{3/2} (3 x+2)^{3/2}}{15 (5 x+3)^{3/2}}+\frac{178}{125} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{582}{625} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{496}{625} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{62 \sqrt{1-2 x} (3 x+2)^{3/2}}{25 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{3/2} (3 x+2)^{3/2}}{15 (5 x+3)^{3/2}}+\frac{178}{125} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{582}{625} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{496}{625} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2))/(15*(3 + 5*x)^(3/2)) - (62*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(25*Sqrt[3 + 5*x]) + (178*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/125 + (496*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/625 - (582*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/625","A",6,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2749,1,127,0,0.0395267,"\int \frac{(1-2 x)^{3/2} \sqrt{2+3 x}}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(3/2)*Sqrt[2 + 3*x])/(3 + 5*x)^(5/2),x]","-\frac{2 \sqrt{3 x+2} (1-2 x)^{3/2}}{15 (5 x+3)^{3/2}}-\frac{18 \sqrt{3 x+2} \sqrt{1-2 x}}{25 \sqrt{5 x+3}}+\frac{212 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{125 \sqrt{33}}+\frac{38}{125} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{3 x+2} (1-2 x)^{3/2}}{15 (5 x+3)^{3/2}}-\frac{18 \sqrt{3 x+2} \sqrt{1-2 x}}{25 \sqrt{5 x+3}}+\frac{212 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{125 \sqrt{33}}+\frac{38}{125} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x])/(15*(3 + 5*x)^(3/2)) - (18*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(25*Sqrt[3 + 5*x]) + (38*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/125 + (212*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(125*Sqrt[33])","A",5,5,28,0.1786,1,"{97, 150, 158, 113, 119}"
2750,1,127,0,0.0393485,"\int \frac{(1-2 x)^{3/2}}{\sqrt{2+3 x} (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(3/2)/(Sqrt[2 + 3*x]*(3 + 5*x)^(5/2)),x]","\frac{148 \sqrt{1-2 x} \sqrt{3 x+2}}{15 \sqrt{5 x+3}}-\frac{22 \sqrt{1-2 x} \sqrt{3 x+2}}{15 (5 x+3)^{3/2}}-\frac{52 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{25 \sqrt{33}}-\frac{148}{25} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{148 \sqrt{1-2 x} \sqrt{3 x+2}}{15 \sqrt{5 x+3}}-\frac{22 \sqrt{1-2 x} \sqrt{3 x+2}}{15 (5 x+3)^{3/2}}-\frac{52 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{25 \sqrt{33}}-\frac{148}{25} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-22*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(15*(3 + 5*x)^(3/2)) + (148*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(15*Sqrt[3 + 5*x]) - (148*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/25 - (52*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(25*Sqrt[33])","A",5,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2751,1,158,0,0.052475,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^(3/2)*(3 + 5*x)^(5/2)),x]","\frac{556 \sqrt{1-2 x} \sqrt{3 x+2}}{3 \sqrt{5 x+3}}-\frac{92 \sqrt{1-2 x} \sqrt{3 x+2}}{3 (5 x+3)^{3/2}}+\frac{14 \sqrt{1-2 x}}{3 \sqrt{3 x+2} (5 x+3)^{3/2}}-\frac{184 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5 \sqrt{33}}-\frac{556}{5} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{556 \sqrt{1-2 x} \sqrt{3 x+2}}{3 \sqrt{5 x+3}}-\frac{92 \sqrt{1-2 x} \sqrt{3 x+2}}{3 (5 x+3)^{3/2}}+\frac{14 \sqrt{1-2 x}}{3 \sqrt{3 x+2} (5 x+3)^{3/2}}-\frac{184 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5 \sqrt{33}}-\frac{556}{5} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*Sqrt[1 - 2*x])/(3*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (92*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3*(3 + 5*x)^(3/2)) + (556*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3*Sqrt[3 + 5*x]) - (556*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5 - (184*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(5*Sqrt[33])","A",6,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2752,1,185,0,0.0641452,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{5440 \sqrt{1-2 x} \sqrt{3 x+2}}{3 \sqrt{5 x+3}}-\frac{300 \sqrt{1-2 x} \sqrt{3 x+2}}{(5 x+3)^{3/2}}+\frac{404 \sqrt{1-2 x}}{9 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{14 \sqrt{1-2 x}}{9 (3 x+2)^{3/2} (5 x+3)^{3/2}}-120 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-1088 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{5440 \sqrt{1-2 x} \sqrt{3 x+2}}{3 \sqrt{5 x+3}}-\frac{300 \sqrt{1-2 x} \sqrt{3 x+2}}{(5 x+3)^{3/2}}+\frac{404 \sqrt{1-2 x}}{9 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{14 \sqrt{1-2 x}}{9 (3 x+2)^{3/2} (5 x+3)^{3/2}}-120 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-1088 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*Sqrt[1 - 2*x])/(9*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (404*Sqrt[1 - 2*x])/(9*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (300*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3 + 5*x)^(3/2) + (5440*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3*Sqrt[3 + 5*x]) - 1088*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33] - 120*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33]","A",7,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2753,1,222,0,0.0813914,"\int \frac{(1-2 x)^{3/2}}{(2+3 x)^{7/2} (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(3/2)/((2 + 3*x)^(7/2)*(3 + 5*x)^(5/2)),x]","\frac{301304 \sqrt{1-2 x} \sqrt{3 x+2}}{21 \sqrt{5 x+3}}-\frac{16616 \sqrt{1-2 x} \sqrt{3 x+2}}{7 (5 x+3)^{3/2}}+\frac{111884 \sqrt{1-2 x}}{315 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{536 \sqrt{1-2 x}}{45 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{14 \sqrt{1-2 x}}{15 (3 x+2)^{5/2} (5 x+3)^{3/2}}-\frac{33232}{35} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{301304}{35} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{301304 \sqrt{1-2 x} \sqrt{3 x+2}}{21 \sqrt{5 x+3}}-\frac{16616 \sqrt{1-2 x} \sqrt{3 x+2}}{7 (5 x+3)^{3/2}}+\frac{111884 \sqrt{1-2 x}}{315 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{536 \sqrt{1-2 x}}{45 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{14 \sqrt{1-2 x}}{15 (3 x+2)^{5/2} (5 x+3)^{3/2}}-\frac{33232}{35} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{301304}{35} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*Sqrt[1 - 2*x])/(15*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)) + (536*Sqrt[1 - 2*x])/(45*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (111884*Sqrt[1 - 2*x])/(315*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (16616*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(7*(3 + 5*x)^(3/2)) + (301304*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(21*Sqrt[3 + 5*x]) - (301304*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/35 - (33232*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/35","A",8,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2754,1,249,0,0.0997942,"\int (1-2 x)^{5/2} (2+3 x)^{5/2} \sqrt{3+5 x} \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x],x]","\frac{2}{65} (1-2 x)^{5/2} (5 x+3)^{3/2} (3 x+2)^{5/2}+\frac{62 (1-2 x)^{3/2} (5 x+3)^{3/2} (3 x+2)^{5/2}}{2145}+\frac{34 \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{5/2}}{2475}+\frac{32717 \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{3/2}}{1126125}-\frac{445024 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{9384375}-\frac{69808931 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{168918750}-\frac{69808931 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{76781250 \sqrt{33}}-\frac{1163388067 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{38390625 \sqrt{33}}","\frac{2}{65} (1-2 x)^{5/2} (5 x+3)^{3/2} (3 x+2)^{5/2}+\frac{62 (1-2 x)^{3/2} (5 x+3)^{3/2} (3 x+2)^{5/2}}{2145}+\frac{34 \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{5/2}}{2475}+\frac{32717 \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{3/2}}{1126125}-\frac{445024 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{9384375}-\frac{69808931 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{168918750}-\frac{69808931 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{76781250 \sqrt{33}}-\frac{1163388067 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{38390625 \sqrt{33}}",1,"(-69808931*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/168918750 - (445024*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/9384375 + (32717*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/1126125 + (34*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2))/2475 + (62*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2))/2145 + (2*(1 - 2*x)^(5/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2))/65 - (1163388067*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(38390625*Sqrt[33]) - (69808931*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(76781250*Sqrt[33])","A",9,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2755,1,218,0,0.0826217,"\int (1-2 x)^{5/2} (2+3 x)^{3/2} \sqrt{3+5 x} \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x],x]","\frac{2}{55} (3 x+2)^{3/2} (5 x+3)^{3/2} (1-2 x)^{5/2}+\frac{106 (3 x+2)^{3/2} (5 x+3)^{3/2} (1-2 x)^{3/2}}{2475}+\frac{2866 (3 x+2)^{3/2} (5 x+3)^{3/2} \sqrt{1-2 x}}{86625}+\frac{38729 \sqrt{3 x+2} (5 x+3)^{3/2} \sqrt{1-2 x}}{2165625}-\frac{4738087 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{19490625}-\frac{4738087 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8859375 \sqrt{33}}-\frac{326256461 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{17718750 \sqrt{33}}","\frac{2}{55} (3 x+2)^{3/2} (5 x+3)^{3/2} (1-2 x)^{5/2}+\frac{106 (3 x+2)^{3/2} (5 x+3)^{3/2} (1-2 x)^{3/2}}{2475}+\frac{2866 (3 x+2)^{3/2} (5 x+3)^{3/2} \sqrt{1-2 x}}{86625}+\frac{38729 \sqrt{3 x+2} (5 x+3)^{3/2} \sqrt{1-2 x}}{2165625}-\frac{4738087 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{19490625}-\frac{4738087 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8859375 \sqrt{33}}-\frac{326256461 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{17718750 \sqrt{33}}",1,"(-4738087*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/19490625 + (38729*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/2165625 + (2866*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/86625 + (106*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/2475 + (2*(1 - 2*x)^(5/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/55 - (326256461*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(17718750*Sqrt[33]) - (4738087*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(8859375*Sqrt[33])","A",8,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2756,1,191,0,0.0674677,"\int (1-2 x)^{5/2} \sqrt{2+3 x} \sqrt{3+5 x} \, dx","Int[(1 - 2*x)^(5/2)*Sqrt[2 + 3*x]*Sqrt[3 + 5*x],x]","\frac{2}{45} \sqrt{3 x+2} (5 x+3)^{3/2} (1-2 x)^{5/2}+\frac{326 \sqrt{3 x+2} (5 x+3)^{3/2} (1-2 x)^{3/2}}{4725}+\frac{10214 \sqrt{3 x+2} (5 x+3)^{3/2} \sqrt{1-2 x}}{118125}-\frac{110717 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{1063125}-\frac{110717 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5315625}-\frac{6799613 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5315625}","\frac{2}{45} \sqrt{3 x+2} (5 x+3)^{3/2} (1-2 x)^{5/2}+\frac{326 \sqrt{3 x+2} (5 x+3)^{3/2} (1-2 x)^{3/2}}{4725}+\frac{10214 \sqrt{3 x+2} (5 x+3)^{3/2} \sqrt{1-2 x}}{118125}-\frac{110717 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{1063125}-\frac{110717 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5315625}-\frac{6799613 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5315625}",1,"(-110717*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/1063125 + (10214*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/118125 + (326*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/4725 + (2*(1 - 2*x)^(5/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/45 - (6799613*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5315625 - (110717*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5315625","A",7,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2757,1,160,0,0.0513473,"\int \frac{(1-2 x)^{5/2} \sqrt{3+5 x}}{\sqrt{2+3 x}} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/Sqrt[2 + 3*x],x]","\frac{2}{21} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{118}{525} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{4282 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{7875}+\frac{11806 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{39375}-\frac{86741 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{39375}","\frac{2}{21} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{118}{525} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{3/2}+\frac{4282 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{7875}+\frac{11806 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{39375}-\frac{86741 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{39375}",1,"(4282*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/7875 + (118*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/525 + (2*(1 - 2*x)^(5/2)*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/21 - (86741*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/39375 + (11806*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/39375","A",6,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2758,1,160,0,0.052174,"\int \frac{(1-2 x)^{5/2} \sqrt{3+5 x}}{(2+3 x)^{3/2}} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(2 + 3*x)^(3/2),x]","-\frac{2 \sqrt{5 x+3} (1-2 x)^{5/2}}{3 \sqrt{3 x+2}}-\frac{8}{15} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{1076}{675} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{12758 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3375}+\frac{31588 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3375}","-\frac{2 \sqrt{5 x+3} (1-2 x)^{5/2}}{3 \sqrt{3 x+2}}-\frac{8}{15} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{1076}{675} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}-\frac{12758 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3375}+\frac{31588 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3375}",1,"(-2*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(3*Sqrt[2 + 3*x]) - (1076*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/675 - (8*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/15 + (31588*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3375 - (12758*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3375","A",6,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2759,1,160,0,0.0504601,"\int \frac{(1-2 x)^{5/2} \sqrt{3+5 x}}{(2+3 x)^{5/2}} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(2 + 3*x)^(5/2),x]","-\frac{2 \sqrt{5 x+3} (1-2 x)^{5/2}}{9 (3 x+2)^{3/2}}+\frac{10 \sqrt{5 x+3} (1-2 x)^{3/2}}{3 \sqrt{3 x+2}}+\frac{196}{81} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{988}{405} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{4418}{405} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{5 x+3} (1-2 x)^{5/2}}{9 (3 x+2)^{3/2}}+\frac{10 \sqrt{5 x+3} (1-2 x)^{3/2}}{3 \sqrt{3 x+2}}+\frac{196}{81} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{988}{405} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{4418}{405} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(9*(2 + 3*x)^(3/2)) + (10*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(3*Sqrt[2 + 3*x]) + (196*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/81 - (4418*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/405 + (988*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/405","A",6,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2760,1,156,0,0.0501493,"\int \frac{(1-2 x)^{5/2} \sqrt{3+5 x}}{(2+3 x)^{7/2}} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(2 + 3*x)^(7/2),x]","-\frac{2 \sqrt{5 x+3} (1-2 x)^{5/2}}{15 (3 x+2)^{5/2}}+\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{3 (3 x+2)^{3/2}}+\frac{8 \sqrt{5 x+3} \sqrt{1-2 x}}{\sqrt{3 x+2}}-\frac{4}{5} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{12}{5} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{5 x+3} (1-2 x)^{5/2}}{15 (3 x+2)^{5/2}}+\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{3 (3 x+2)^{3/2}}+\frac{8 \sqrt{5 x+3} \sqrt{1-2 x}}{\sqrt{3 x+2}}-\frac{4}{5} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{12}{5} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(15*(2 + 3*x)^(5/2)) + (2*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(3*(2 + 3*x)^(3/2)) + (8*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/Sqrt[2 + 3*x] - (12*Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5 - (4*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5","A",6,5,28,0.1786,1,"{97, 150, 158, 113, 119}"
2761,1,191,0,0.0657297,"\int \frac{(1-2 x)^{5/2} \sqrt{3+5 x}}{(2+3 x)^{9/2}} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(2 + 3*x)^(9/2),x]","-\frac{2 \sqrt{5 x+3} (1-2 x)^{5/2}}{21 (3 x+2)^{7/2}}+\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{7 (3 x+2)^{5/2}}+\frac{36052 \sqrt{5 x+3} \sqrt{1-2 x}}{1323 \sqrt{3 x+2}}+\frac{524 \sqrt{5 x+3} \sqrt{1-2 x}}{189 (3 x+2)^{3/2}}-\frac{1048 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1323}-\frac{36052 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1323}","-\frac{2 \sqrt{5 x+3} (1-2 x)^{5/2}}{21 (3 x+2)^{7/2}}+\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{7 (3 x+2)^{5/2}}+\frac{36052 \sqrt{5 x+3} \sqrt{1-2 x}}{1323 \sqrt{3 x+2}}+\frac{524 \sqrt{5 x+3} \sqrt{1-2 x}}{189 (3 x+2)^{3/2}}-\frac{1048 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1323}-\frac{36052 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1323}",1,"(-2*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(21*(2 + 3*x)^(7/2)) + (2*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(7*(2 + 3*x)^(5/2)) + (524*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(189*(2 + 3*x)^(3/2)) + (36052*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1323*Sqrt[2 + 3*x]) - (36052*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1323 - (1048*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1323","A",7,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2762,1,222,0,0.0818294,"\int \frac{(1-2 x)^{5/2} \sqrt{3+5 x}}{(2+3 x)^{11/2}} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(2 + 3*x)^(11/2),x]","-\frac{2 \sqrt{5 x+3} (1-2 x)^{5/2}}{27 (3 x+2)^{9/2}}+\frac{10 \sqrt{5 x+3} (1-2 x)^{3/2}}{63 (3 x+2)^{7/2}}+\frac{7810384 \sqrt{5 x+3} \sqrt{1-2 x}}{83349 \sqrt{3 x+2}}+\frac{112436 \sqrt{5 x+3} \sqrt{1-2 x}}{11907 (3 x+2)^{3/2}}+\frac{832 \sqrt{5 x+3} \sqrt{1-2 x}}{567 (3 x+2)^{5/2}}-\frac{234856 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{83349}-\frac{7810384 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{83349}","-\frac{2 \sqrt{5 x+3} (1-2 x)^{5/2}}{27 (3 x+2)^{9/2}}+\frac{10 \sqrt{5 x+3} (1-2 x)^{3/2}}{63 (3 x+2)^{7/2}}+\frac{7810384 \sqrt{5 x+3} \sqrt{1-2 x}}{83349 \sqrt{3 x+2}}+\frac{112436 \sqrt{5 x+3} \sqrt{1-2 x}}{11907 (3 x+2)^{3/2}}+\frac{832 \sqrt{5 x+3} \sqrt{1-2 x}}{567 (3 x+2)^{5/2}}-\frac{234856 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{83349}-\frac{7810384 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{83349}",1,"(-2*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(27*(2 + 3*x)^(9/2)) + (10*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(63*(2 + 3*x)^(7/2)) + (832*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(567*(2 + 3*x)^(5/2)) + (112436*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(11907*(2 + 3*x)^(3/2)) + (7810384*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(83349*Sqrt[2 + 3*x]) - (7810384*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/83349 - (234856*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/83349","A",8,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2763,1,249,0,0.0981,"\int \frac{(1-2 x)^{5/2} \sqrt{3+5 x}}{(2+3 x)^{13/2}} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(2 + 3*x)^(13/2),x]","-\frac{2 \sqrt{5 x+3} (1-2 x)^{5/2}}{33 (3 x+2)^{11/2}}+\frac{10 \sqrt{5 x+3} (1-2 x)^{3/2}}{99 (3 x+2)^{9/2}}+\frac{247408648 \sqrt{5 x+3} \sqrt{1-2 x}}{713097 \sqrt{3 x+2}}+\frac{3560432 \sqrt{5 x+3} \sqrt{1-2 x}}{101871 (3 x+2)^{3/2}}+\frac{76492 \sqrt{5 x+3} \sqrt{1-2 x}}{14553 (3 x+2)^{5/2}}+\frac{1900 \sqrt{5 x+3} \sqrt{1-2 x}}{2079 (3 x+2)^{7/2}}-\frac{7442032 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{64827 \sqrt{33}}-\frac{247408648 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{64827 \sqrt{33}}","-\frac{2 \sqrt{5 x+3} (1-2 x)^{5/2}}{33 (3 x+2)^{11/2}}+\frac{10 \sqrt{5 x+3} (1-2 x)^{3/2}}{99 (3 x+2)^{9/2}}+\frac{247408648 \sqrt{5 x+3} \sqrt{1-2 x}}{713097 \sqrt{3 x+2}}+\frac{3560432 \sqrt{5 x+3} \sqrt{1-2 x}}{101871 (3 x+2)^{3/2}}+\frac{76492 \sqrt{5 x+3} \sqrt{1-2 x}}{14553 (3 x+2)^{5/2}}+\frac{1900 \sqrt{5 x+3} \sqrt{1-2 x}}{2079 (3 x+2)^{7/2}}-\frac{7442032 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{64827 \sqrt{33}}-\frac{247408648 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{64827 \sqrt{33}}",1,"(-2*(1 - 2*x)^(5/2)*Sqrt[3 + 5*x])/(33*(2 + 3*x)^(11/2)) + (10*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(99*(2 + 3*x)^(9/2)) + (1900*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2079*(2 + 3*x)^(7/2)) + (76492*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(14553*(2 + 3*x)^(5/2)) + (3560432*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(101871*(2 + 3*x)^(3/2)) + (247408648*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(713097*Sqrt[2 + 3*x]) - (247408648*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(64827*Sqrt[33]) - (7442032*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(64827*Sqrt[33])","A",9,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2764,1,280,0,0.1178284,"\int (1-2 x)^{5/2} (2+3 x)^{5/2} (3+5 x)^{3/2} \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2),x]","\frac{2}{75} (1-2 x)^{5/2} (3 x+2)^{5/2} (5 x+3)^{5/2}+\frac{62 (1-2 x)^{3/2} (3 x+2)^{5/2} (5 x+3)^{5/2}}{2925}+\frac{3698 \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{5/2}}{482625}+\frac{142391 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}}{7239375}-\frac{569519 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{28153125}-\frac{400516993 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{2533781250}-\frac{13267820528 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{11402015625}-\frac{13267820528 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5182734375 \sqrt{33}}-\frac{1764163292393 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{20730937500 \sqrt{33}}","\frac{2}{75} (1-2 x)^{5/2} (3 x+2)^{5/2} (5 x+3)^{5/2}+\frac{62 (1-2 x)^{3/2} (3 x+2)^{5/2} (5 x+3)^{5/2}}{2925}+\frac{3698 \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{5/2}}{482625}+\frac{142391 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}}{7239375}-\frac{569519 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{28153125}-\frac{400516993 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{2533781250}-\frac{13267820528 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{11402015625}-\frac{13267820528 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5182734375 \sqrt{33}}-\frac{1764163292393 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{20730937500 \sqrt{33}}",1,"(-13267820528*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/11402015625 - (400516993*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/2533781250 - (569519*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/28153125 + (142391*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/7239375 + (3698*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/482625 + (62*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/2925 + (2*(1 - 2*x)^(5/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/75 - (1764163292393*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(20730937500*Sqrt[33]) - (13267820528*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(5182734375*Sqrt[33])","A",10,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2765,1,249,0,0.1018148,"\int (1-2 x)^{5/2} (2+3 x)^{3/2} (3+5 x)^{3/2} \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2),x]","\frac{2}{65} (1-2 x)^{5/2} (3 x+2)^{3/2} (5 x+3)^{5/2}+\frac{106 (1-2 x)^{3/2} (3 x+2)^{3/2} (5 x+3)^{5/2}}{3575}+\frac{8318 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}}{482625}+\frac{25603 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{1876875}-\frac{6794792 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{84459375}-\frac{923943703 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{1520268750}-\frac{923943703 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{691031250 \sqrt{33}}-\frac{30660308017 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{691031250 \sqrt{33}}","\frac{2}{65} (1-2 x)^{5/2} (3 x+2)^{3/2} (5 x+3)^{5/2}+\frac{106 (1-2 x)^{3/2} (3 x+2)^{3/2} (5 x+3)^{5/2}}{3575}+\frac{8318 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}}{482625}+\frac{25603 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{1876875}-\frac{6794792 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{84459375}-\frac{923943703 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{1520268750}-\frac{923943703 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{691031250 \sqrt{33}}-\frac{30660308017 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{691031250 \sqrt{33}}",1,"(-923943703*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/1520268750 - (6794792*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/84459375 + (25603*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/1876875 + (8318*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/482625 + (106*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/3575 + (2*(1 - 2*x)^(5/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/65 - (30660308017*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(691031250*Sqrt[33]) - (923943703*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(691031250*Sqrt[33])","A",9,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2766,1,218,0,0.0811639,"\int (1-2 x)^{5/2} \sqrt{2+3 x} (3+5 x)^{3/2} \, dx","Int[(1 - 2*x)^(5/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2),x]","\frac{2}{55} (1-2 x)^{5/2} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{326 (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{5/2}}{7425}+\frac{30362 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{779625}-\frac{78797 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{3898125}-\frac{12996374 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{35083125}-\frac{12996374 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15946875 \sqrt{33}}-\frac{829177897 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{31893750 \sqrt{33}}","\frac{2}{55} (1-2 x)^{5/2} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{326 (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{5/2}}{7425}+\frac{30362 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{779625}-\frac{78797 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{3898125}-\frac{12996374 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{35083125}-\frac{12996374 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15946875 \sqrt{33}}-\frac{829177897 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{31893750 \sqrt{33}}",1,"(-12996374*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/35083125 - (78797*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/3898125 + (30362*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/779625 + (326*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/7425 + (2*(1 - 2*x)^(5/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/55 - (829177897*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(31893750*Sqrt[33]) - (12996374*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(15946875*Sqrt[33])","A",8,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2767,1,191,0,0.0658865,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{\sqrt{2+3 x}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/Sqrt[2 + 3*x],x]","\frac{2}{27} \sqrt{3 x+2} (5 x+3)^{3/2} (1-2 x)^{5/2}+\frac{362 \sqrt{3 x+2} (5 x+3)^{3/2} (1-2 x)^{3/2}}{2835}+\frac{14318 \sqrt{3 x+2} (5 x+3)^{3/2} \sqrt{1-2 x}}{70875}-\frac{429479 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{637875}-\frac{429479 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3189375}-\frac{4457606 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3189375}","\frac{2}{27} \sqrt{3 x+2} (5 x+3)^{3/2} (1-2 x)^{5/2}+\frac{362 \sqrt{3 x+2} (5 x+3)^{3/2} (1-2 x)^{3/2}}{2835}+\frac{14318 \sqrt{3 x+2} (5 x+3)^{3/2} \sqrt{1-2 x}}{70875}-\frac{429479 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{637875}-\frac{429479 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3189375}-\frac{4457606 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3189375}",1,"(-429479*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/637875 + (14318*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/70875 + (362*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/2835 + (2*(1 - 2*x)^(5/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/27 - (4457606*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3189375 - (429479*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3189375","A",7,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2768,1,191,0,0.0679956,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^{3/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^(3/2),x]","-\frac{2 (5 x+3)^{3/2} (1-2 x)^{5/2}}{3 \sqrt{3 x+2}}-\frac{32}{63} \sqrt{3 x+2} (5 x+3)^{3/2} (1-2 x)^{3/2}-\frac{2108 \sqrt{3 x+2} (5 x+3)^{3/2} \sqrt{1-2 x}}{1575}+\frac{124724 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{14175}+\frac{124724 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{70875}-\frac{481339 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{70875}","-\frac{2 (5 x+3)^{3/2} (1-2 x)^{5/2}}{3 \sqrt{3 x+2}}-\frac{32}{63} \sqrt{3 x+2} (5 x+3)^{3/2} (1-2 x)^{3/2}-\frac{2108 \sqrt{3 x+2} (5 x+3)^{3/2} \sqrt{1-2 x}}{1575}+\frac{124724 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{14175}+\frac{124724 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{70875}-\frac{481339 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{70875}",1,"(124724*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/14175 - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(3*Sqrt[2 + 3*x]) - (2108*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/1575 - (32*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/63 - (481339*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/70875 + (124724*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/70875","A",7,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2769,1,191,0,0.0673501,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^{5/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^(5/2),x]","-\frac{2 (5 x+3)^{3/2} (1-2 x)^{5/2}}{9 (3 x+2)^{3/2}}+\frac{230 (5 x+3)^{3/2} (1-2 x)^{3/2}}{27 \sqrt{3 x+2}}+\frac{788}{135} \sqrt{3 x+2} (5 x+3)^{3/2} \sqrt{1-2 x}-\frac{43214 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{1215}-\frac{43214 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6075}+\frac{116854 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6075}","-\frac{2 (5 x+3)^{3/2} (1-2 x)^{5/2}}{9 (3 x+2)^{3/2}}+\frac{230 (5 x+3)^{3/2} (1-2 x)^{3/2}}{27 \sqrt{3 x+2}}+\frac{788}{135} \sqrt{3 x+2} (5 x+3)^{3/2} \sqrt{1-2 x}-\frac{43214 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{1215}-\frac{43214 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6075}+\frac{116854 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6075}",1,"(-43214*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/1215 - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(9*(2 + 3*x)^(3/2)) + (230*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(27*Sqrt[2 + 3*x]) + (788*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/135 + (116854*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/6075 - (43214*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/6075","A",7,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2770,1,191,0,0.0623416,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^{7/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^(7/2),x]","-\frac{2 (5 x+3)^{3/2} (1-2 x)^{5/2}}{15 (3 x+2)^{5/2}}+\frac{46 (5 x+3)^{3/2} (1-2 x)^{3/2}}{27 (3 x+2)^{3/2}}-\frac{316 (5 x+3)^{3/2} \sqrt{1-2 x}}{27 \sqrt{3 x+2}}+\frac{5264}{243} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{5264 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1215}-\frac{19174 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1215}","-\frac{2 (5 x+3)^{3/2} (1-2 x)^{5/2}}{15 (3 x+2)^{5/2}}+\frac{46 (5 x+3)^{3/2} (1-2 x)^{3/2}}{27 (3 x+2)^{3/2}}-\frac{316 (5 x+3)^{3/2} \sqrt{1-2 x}}{27 \sqrt{3 x+2}}+\frac{5264}{243} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{5264 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1215}-\frac{19174 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1215}",1,"(5264*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/243 - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(15*(2 + 3*x)^(5/2)) + (46*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(27*(2 + 3*x)^(3/2)) - (316*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(27*Sqrt[2 + 3*x]) - (19174*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1215 + (5264*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1215","A",7,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2771,1,191,0,0.0662442,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^{9/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^(9/2),x]","-\frac{2 (5 x+3)^{3/2} (1-2 x)^{5/2}}{21 (3 x+2)^{7/2}}+\frac{46 (5 x+3)^{3/2} (1-2 x)^{3/2}}{63 (3 x+2)^{5/2}}+\frac{608 (5 x+3)^{3/2} \sqrt{1-2 x}}{189 (3 x+2)^{3/2}}-\frac{4244 \sqrt{5 x+3} \sqrt{1-2 x}}{3969 \sqrt{3 x+2}}-\frac{4244 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3969}-\frac{11576 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3969}","-\frac{2 (5 x+3)^{3/2} (1-2 x)^{5/2}}{21 (3 x+2)^{7/2}}+\frac{46 (5 x+3)^{3/2} (1-2 x)^{3/2}}{63 (3 x+2)^{5/2}}+\frac{608 (5 x+3)^{3/2} \sqrt{1-2 x}}{189 (3 x+2)^{3/2}}-\frac{4244 \sqrt{5 x+3} \sqrt{1-2 x}}{3969 \sqrt{3 x+2}}-\frac{4244 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3969}-\frac{11576 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3969}",1,"(-4244*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3969*Sqrt[2 + 3*x]) - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(21*(2 + 3*x)^(7/2)) + (46*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(63*(2 + 3*x)^(5/2)) + (608*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(189*(2 + 3*x)^(3/2)) - (11576*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3969 - (4244*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3969","A",7,5,28,0.1786,1,"{97, 150, 158, 113, 119}"
2772,1,222,0,0.0801107,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^{11/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^(11/2),x]","-\frac{2 (5 x+3)^{3/2} (1-2 x)^{5/2}}{27 (3 x+2)^{9/2}}+\frac{230 (5 x+3)^{3/2} (1-2 x)^{3/2}}{567 (3 x+2)^{7/2}}+\frac{1532 (5 x+3)^{3/2} \sqrt{1-2 x}}{567 (3 x+2)^{5/2}}+\frac{3545996 \sqrt{5 x+3} \sqrt{1-2 x}}{250047 \sqrt{3 x+2}}-\frac{104036 \sqrt{5 x+3} \sqrt{1-2 x}}{35721 (3 x+2)^{3/2}}-\frac{95264 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{250047}-\frac{3545996 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{250047}","-\frac{2 (5 x+3)^{3/2} (1-2 x)^{5/2}}{27 (3 x+2)^{9/2}}+\frac{230 (5 x+3)^{3/2} (1-2 x)^{3/2}}{567 (3 x+2)^{7/2}}+\frac{1532 (5 x+3)^{3/2} \sqrt{1-2 x}}{567 (3 x+2)^{5/2}}+\frac{3545996 \sqrt{5 x+3} \sqrt{1-2 x}}{250047 \sqrt{3 x+2}}-\frac{104036 \sqrt{5 x+3} \sqrt{1-2 x}}{35721 (3 x+2)^{3/2}}-\frac{95264 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{250047}-\frac{3545996 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{250047}",1,"(-104036*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(35721*(2 + 3*x)^(3/2)) + (3545996*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(250047*Sqrt[2 + 3*x]) - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(27*(2 + 3*x)^(9/2)) + (230*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(567*(2 + 3*x)^(7/2)) + (1532*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(567*(2 + 3*x)^(5/2)) - (3545996*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/250047 - (95264*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/250047","A",8,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2773,1,249,0,0.0971486,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^{13/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^(13/2),x]","-\frac{2 (5 x+3)^{3/2} (1-2 x)^{5/2}}{33 (3 x+2)^{11/2}}+\frac{230 (5 x+3)^{3/2} (1-2 x)^{3/2}}{891 (3 x+2)^{9/2}}+\frac{12280 (5 x+3)^{3/2} \sqrt{1-2 x}}{6237 (3 x+2)^{7/2}}+\frac{780320008 \sqrt{5 x+3} \sqrt{1-2 x}}{19253619 \sqrt{3 x+2}}+\frac{11243972 \sqrt{5 x+3} \sqrt{1-2 x}}{2750517 (3 x+2)^{3/2}}-\frac{325796 \sqrt{5 x+3} \sqrt{1-2 x}}{130977 (3 x+2)^{5/2}}-\frac{23441272 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1750329 \sqrt{33}}-\frac{780320008 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1750329 \sqrt{33}}","-\frac{2 (5 x+3)^{3/2} (1-2 x)^{5/2}}{33 (3 x+2)^{11/2}}+\frac{230 (5 x+3)^{3/2} (1-2 x)^{3/2}}{891 (3 x+2)^{9/2}}+\frac{12280 (5 x+3)^{3/2} \sqrt{1-2 x}}{6237 (3 x+2)^{7/2}}+\frac{780320008 \sqrt{5 x+3} \sqrt{1-2 x}}{19253619 \sqrt{3 x+2}}+\frac{11243972 \sqrt{5 x+3} \sqrt{1-2 x}}{2750517 (3 x+2)^{3/2}}-\frac{325796 \sqrt{5 x+3} \sqrt{1-2 x}}{130977 (3 x+2)^{5/2}}-\frac{23441272 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1750329 \sqrt{33}}-\frac{780320008 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1750329 \sqrt{33}}",1,"(-325796*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(130977*(2 + 3*x)^(5/2)) + (11243972*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2750517*(2 + 3*x)^(3/2)) + (780320008*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(19253619*Sqrt[2 + 3*x]) - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(33*(2 + 3*x)^(11/2)) + (230*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(891*(2 + 3*x)^(9/2)) + (12280*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(6237*(2 + 3*x)^(7/2)) - (780320008*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1750329*Sqrt[33]) - (23441272*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1750329*Sqrt[33])","A",9,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2774,1,280,0,0.1155851,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{3/2}}{(2+3 x)^{15/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(2 + 3*x)^(15/2),x]","-\frac{2 (5 x+3)^{3/2} (1-2 x)^{5/2}}{39 (3 x+2)^{13/2}}+\frac{230 (5 x+3)^{3/2} (1-2 x)^{3/2}}{1287 (3 x+2)^{11/2}}+\frac{1300 (5 x+3)^{3/2} \sqrt{1-2 x}}{891 (3 x+2)^{9/2}}+\frac{75041008472 \sqrt{5 x+3} \sqrt{1-2 x}}{584026443 \sqrt{3 x+2}}+\frac{1079936248 \sqrt{5 x+3} \sqrt{1-2 x}}{83432349 (3 x+2)^{3/2}}+\frac{23210828 \sqrt{5 x+3} \sqrt{1-2 x}}{11918907 (3 x+2)^{5/2}}-\frac{3347620 \sqrt{5 x+3} \sqrt{1-2 x}}{1702701 (3 x+2)^{7/2}}-\frac{2257166048 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{53093313 \sqrt{33}}-\frac{75041008472 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{53093313 \sqrt{33}}","-\frac{2 (5 x+3)^{3/2} (1-2 x)^{5/2}}{39 (3 x+2)^{13/2}}+\frac{230 (5 x+3)^{3/2} (1-2 x)^{3/2}}{1287 (3 x+2)^{11/2}}+\frac{1300 (5 x+3)^{3/2} \sqrt{1-2 x}}{891 (3 x+2)^{9/2}}+\frac{75041008472 \sqrt{5 x+3} \sqrt{1-2 x}}{584026443 \sqrt{3 x+2}}+\frac{1079936248 \sqrt{5 x+3} \sqrt{1-2 x}}{83432349 (3 x+2)^{3/2}}+\frac{23210828 \sqrt{5 x+3} \sqrt{1-2 x}}{11918907 (3 x+2)^{5/2}}-\frac{3347620 \sqrt{5 x+3} \sqrt{1-2 x}}{1702701 (3 x+2)^{7/2}}-\frac{2257166048 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{53093313 \sqrt{33}}-\frac{75041008472 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{53093313 \sqrt{33}}",1,"(-3347620*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1702701*(2 + 3*x)^(7/2)) + (23210828*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(11918907*(2 + 3*x)^(5/2)) + (1079936248*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(83432349*(2 + 3*x)^(3/2)) + (75041008472*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(584026443*Sqrt[2 + 3*x]) - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(3/2))/(39*(2 + 3*x)^(13/2)) + (230*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2))/(1287*(2 + 3*x)^(11/2)) + (1300*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(891*(2 + 3*x)^(9/2)) - (75041008472*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(53093313*Sqrt[33]) - (2257166048*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(53093313*Sqrt[33])","A",10,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2775,1,280,0,0.1234759,"\int (1-2 x)^{5/2} (2+3 x)^{3/2} (3+5 x)^{5/2} \, dx","Int[(1 - 2*x)^(5/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2),x]","\frac{2}{75} (1-2 x)^{5/2} (3 x+2)^{3/2} (5 x+3)^{7/2}+\frac{106 (1-2 x)^{3/2} (3 x+2)^{3/2} (5 x+3)^{7/2}}{4875}+\frac{8038 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{7/2}}{804375}+\frac{364267 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}}{36196875}-\frac{26534891 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{760134375}-\frac{359748241 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{1520268750}-\frac{23763809947 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{13682418750}-\frac{23763809947 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6219281250 \sqrt{33}}-\frac{1580201444291 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12438562500 \sqrt{33}}","\frac{2}{75} (1-2 x)^{5/2} (3 x+2)^{3/2} (5 x+3)^{7/2}+\frac{106 (1-2 x)^{3/2} (3 x+2)^{3/2} (5 x+3)^{7/2}}{4875}+\frac{8038 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{7/2}}{804375}+\frac{364267 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}}{36196875}-\frac{26534891 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{760134375}-\frac{359748241 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{1520268750}-\frac{23763809947 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{13682418750}-\frac{23763809947 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6219281250 \sqrt{33}}-\frac{1580201444291 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12438562500 \sqrt{33}}",1,"(-23763809947*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/13682418750 - (359748241*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/1520268750 - (26534891*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/760134375 + (364267*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(7/2))/36196875 + (8038*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(7/2))/804375 + (106*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(7/2))/4875 + (2*(1 - 2*x)^(5/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(7/2))/75 - (1580201444291*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(12438562500*Sqrt[33]) - (23763809947*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(6219281250*Sqrt[33])","A",10,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2776,1,249,0,0.1002818,"\int (1-2 x)^{5/2} \sqrt{2+3 x} (3+5 x)^{5/2} \, dx","Int[(1 - 2*x)^(5/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2),x]","\frac{2}{65} (1-2 x)^{5/2} \sqrt{3 x+2} (5 x+3)^{7/2}+\frac{326 (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{7/2}}{10725}+\frac{2314 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}}{111375}-\frac{121031 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{30405375}-\frac{3872003 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{30405375}-\frac{486785077 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{547296750}-\frac{486785077 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{248771250 \sqrt{33}}-\frac{8120161139 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{124385625 \sqrt{33}}","\frac{2}{65} (1-2 x)^{5/2} \sqrt{3 x+2} (5 x+3)^{7/2}+\frac{326 (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{7/2}}{10725}+\frac{2314 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{7/2}}{111375}-\frac{121031 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{30405375}-\frac{3872003 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{30405375}-\frac{486785077 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{547296750}-\frac{486785077 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{248771250 \sqrt{33}}-\frac{8120161139 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{124385625 \sqrt{33}}",1,"(-486785077*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/547296750 - (3872003*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/30405375 - (121031*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/30405375 + (2314*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(7/2))/111375 + (326*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(7/2))/10725 + (2*(1 - 2*x)^(5/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(7/2))/65 - (8120161139*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(124385625*Sqrt[33]) - (486785077*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(248771250*Sqrt[33])","A",9,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2777,1,218,0,0.0806832,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{\sqrt{2+3 x}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/Sqrt[2 + 3*x],x]","\frac{2}{33} (1-2 x)^{5/2} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{74}{891} (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{9698 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{93555}-\frac{146963 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{467775}-\frac{1654421 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{4209975}-\frac{1654421 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1913625 \sqrt{33}}-\frac{146222113 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3827250 \sqrt{33}}","\frac{2}{33} (1-2 x)^{5/2} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{74}{891} (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{9698 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{93555}-\frac{146963 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{467775}-\frac{1654421 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{4209975}-\frac{1654421 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1913625 \sqrt{33}}-\frac{146222113 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3827250 \sqrt{33}}",1,"(-1654421*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/4209975 - (146963*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/467775 + (9698*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/93555 + (74*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/891 + (2*(1 - 2*x)^(5/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/33 - (146222113*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(3827250*Sqrt[33]) - (1654421*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1913625*Sqrt[33])","A",8,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2778,1,222,0,0.0809355,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{3/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(3/2),x]","-\frac{40}{81} (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{2108 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{1701}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{3 \sqrt{3 x+2}}+\frac{64628 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{8505}-\frac{310399 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{76545}-\frac{310399 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{382725}-\frac{25111 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{382725}","-\frac{40}{81} (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{2108 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}}{1701}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{3 \sqrt{3 x+2}}+\frac{64628 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{8505}-\frac{310399 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{76545}-\frac{310399 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{382725}-\frac{25111 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{382725}",1,"(-310399*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/76545 + (64628*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/8505 - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(3*Sqrt[2 + 3*x]) - (2108*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/1701 - (40*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/81 - (25111*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/382725 - (310399*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/382725","A",8,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2779,1,222,0,0.0794737,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{5/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(5/2),x]","\frac{5260}{567} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{370 (1-2 x)^{3/2} (5 x+3)^{5/2}}{27 \sqrt{3 x+2}}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{9 (3 x+2)^{3/2}}-\frac{31298}{567} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{135334 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{5103}+\frac{135334 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{25515}-\frac{452399 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{25515}","\frac{5260}{567} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{370 (1-2 x)^{3/2} (5 x+3)^{5/2}}{27 \sqrt{3 x+2}}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{9 (3 x+2)^{3/2}}-\frac{31298}{567} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{135334 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{5103}+\frac{135334 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{25515}-\frac{452399 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{25515}",1,"(135334*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/5103 - (31298*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/567 - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(9*(2 + 3*x)^(3/2)) + (370*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(27*Sqrt[2 + 3*x]) + (5260*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/567 - (452399*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/25515 + (135334*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/25515","A",8,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2780,1,222,0,0.0785786,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{7/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(7/2),x]","-\frac{6464 \sqrt{1-2 x} (5 x+3)^{5/2}}{81 \sqrt{3 x+2}}+\frac{74 (1-2 x)^{3/2} (5 x+3)^{5/2}}{27 (3 x+2)^{3/2}}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{15 (3 x+2)^{5/2}}+\frac{11036}{81} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{48478}{729} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{48478 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3645}+\frac{136028 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3645}","-\frac{6464 \sqrt{1-2 x} (5 x+3)^{5/2}}{81 \sqrt{3 x+2}}+\frac{74 (1-2 x)^{3/2} (5 x+3)^{5/2}}{27 (3 x+2)^{3/2}}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{15 (3 x+2)^{5/2}}+\frac{11036}{81} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{48478}{729} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{48478 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3645}+\frac{136028 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3645}",1,"(-48478*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/729 + (11036*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/81 - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(15*(2 + 3*x)^(5/2)) + (74*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(27*(2 + 3*x)^(3/2)) - (6464*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(81*Sqrt[2 + 3*x]) + (136028*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3645 - (48478*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3645","A",8,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2781,1,222,0,0.0845279,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{9/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(9/2),x]","-\frac{1844 \sqrt{1-2 x} (5 x+3)^{5/2}}{567 (3 x+2)^{3/2}}+\frac{74 (1-2 x)^{3/2} (5 x+3)^{5/2}}{63 (3 x+2)^{5/2}}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{21 (3 x+2)^{7/2}}-\frac{62596 \sqrt{1-2 x} (5 x+3)^{3/2}}{3969 \sqrt{3 x+2}}+\frac{1353340 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{35721}+\frac{270668 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{35721}-\frac{904798 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{35721}","-\frac{1844 \sqrt{1-2 x} (5 x+3)^{5/2}}{567 (3 x+2)^{3/2}}+\frac{74 (1-2 x)^{3/2} (5 x+3)^{5/2}}{63 (3 x+2)^{5/2}}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{21 (3 x+2)^{7/2}}-\frac{62596 \sqrt{1-2 x} (5 x+3)^{3/2}}{3969 \sqrt{3 x+2}}+\frac{1353340 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{35721}+\frac{270668 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{35721}-\frac{904798 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{35721}",1,"(1353340*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/35721 - (62596*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(3969*Sqrt[2 + 3*x]) - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(21*(2 + 3*x)^(7/2)) + (74*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(63*(2 + 3*x)^(5/2)) - (1844*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(567*(2 + 3*x)^(3/2)) - (904798*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/35721 + (270668*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/35721","A",8,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2782,1,222,0,0.0778519,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{11/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(11/2),x]","\frac{2776 \sqrt{1-2 x} (5 x+3)^{5/2}}{1701 (3 x+2)^{5/2}}+\frac{370 (1-2 x)^{3/2} (5 x+3)^{5/2}}{567 (3 x+2)^{7/2}}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{27 (3 x+2)^{9/2}}-\frac{13316 \sqrt{1-2 x} (5 x+3)^{3/2}}{35721 (3 x+2)^{3/2}}-\frac{1241596 \sqrt{1-2 x} \sqrt{5 x+3}}{750141 \sqrt{3 x+2}}-\frac{1241596 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{750141}-\frac{100444 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{750141}","\frac{2776 \sqrt{1-2 x} (5 x+3)^{5/2}}{1701 (3 x+2)^{5/2}}+\frac{370 (1-2 x)^{3/2} (5 x+3)^{5/2}}{567 (3 x+2)^{7/2}}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{27 (3 x+2)^{9/2}}-\frac{13316 \sqrt{1-2 x} (5 x+3)^{3/2}}{35721 (3 x+2)^{3/2}}-\frac{1241596 \sqrt{1-2 x} \sqrt{5 x+3}}{750141 \sqrt{3 x+2}}-\frac{1241596 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{750141}-\frac{100444 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{750141}",1,"(-1241596*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(750141*Sqrt[2 + 3*x]) - (13316*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(35721*(2 + 3*x)^(3/2)) - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(27*(2 + 3*x)^(9/2)) + (370*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(567*(2 + 3*x)^(7/2)) + (2776*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(1701*(2 + 3*x)^(5/2)) - (100444*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/750141 - (1241596*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/750141","A",8,5,28,0.1786,1,"{97, 150, 158, 113, 119}"
2783,1,249,0,0.0999762,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{13/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(13/2),x]","\frac{36980 \sqrt{1-2 x} (5 x+3)^{5/2}}{18711 (3 x+2)^{7/2}}+\frac{370 (1-2 x)^{3/2} (5 x+3)^{5/2}}{891 (3 x+2)^{9/2}}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{33 (3 x+2)^{11/2}}-\frac{55772 \sqrt{1-2 x} (5 x+3)^{3/2}}{43659 (3 x+2)^{5/2}}+\frac{584888452 \sqrt{1-2 x} \sqrt{5 x+3}}{57760857 \sqrt{3 x+2}}-\frac{17089252 \sqrt{1-2 x} \sqrt{5 x+3}}{8251551 (3 x+2)^{3/2}}-\frac{13235368 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5250987 \sqrt{33}}-\frac{584888452 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5250987 \sqrt{33}}","\frac{36980 \sqrt{1-2 x} (5 x+3)^{5/2}}{18711 (3 x+2)^{7/2}}+\frac{370 (1-2 x)^{3/2} (5 x+3)^{5/2}}{891 (3 x+2)^{9/2}}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{33 (3 x+2)^{11/2}}-\frac{55772 \sqrt{1-2 x} (5 x+3)^{3/2}}{43659 (3 x+2)^{5/2}}+\frac{584888452 \sqrt{1-2 x} \sqrt{5 x+3}}{57760857 \sqrt{3 x+2}}-\frac{17089252 \sqrt{1-2 x} \sqrt{5 x+3}}{8251551 (3 x+2)^{3/2}}-\frac{13235368 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5250987 \sqrt{33}}-\frac{584888452 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5250987 \sqrt{33}}",1,"(-17089252*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(8251551*(2 + 3*x)^(3/2)) + (584888452*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(57760857*Sqrt[2 + 3*x]) - (55772*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(43659*(2 + 3*x)^(5/2)) - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(33*(2 + 3*x)^(11/2)) + (370*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(891*(2 + 3*x)^(9/2)) + (36980*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(18711*(2 + 3*x)^(7/2)) - (584888452*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(5250987*Sqrt[33]) - (13235368*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(5250987*Sqrt[33])","A",9,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2784,1,280,0,0.1122767,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{15/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(15/2),x]","\frac{60080 \sqrt{1-2 x} (5 x+3)^{5/2}}{34749 (3 x+2)^{9/2}}+\frac{370 (1-2 x)^{3/2} (5 x+3)^{5/2}}{1287 (3 x+2)^{11/2}}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{39 (3 x+2)^{13/2}}-\frac{2622980 \sqrt{1-2 x} (5 x+3)^{3/2}}{1702701 (3 x+2)^{7/2}}+\frac{129922578224 \sqrt{1-2 x} \sqrt{5 x+3}}{5256237987 \sqrt{3 x+2}}+\frac{1876198516 \sqrt{1-2 x} \sqrt{5 x+3}}{750891141 (3 x+2)^{3/2}}-\frac{54281308 \sqrt{1-2 x} \sqrt{5 x+3}}{35756721 (3 x+2)^{5/2}}-\frac{3894280616 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{477839817 \sqrt{33}}-\frac{129922578224 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{477839817 \sqrt{33}}","\frac{60080 \sqrt{1-2 x} (5 x+3)^{5/2}}{34749 (3 x+2)^{9/2}}+\frac{370 (1-2 x)^{3/2} (5 x+3)^{5/2}}{1287 (3 x+2)^{11/2}}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{39 (3 x+2)^{13/2}}-\frac{2622980 \sqrt{1-2 x} (5 x+3)^{3/2}}{1702701 (3 x+2)^{7/2}}+\frac{129922578224 \sqrt{1-2 x} \sqrt{5 x+3}}{5256237987 \sqrt{3 x+2}}+\frac{1876198516 \sqrt{1-2 x} \sqrt{5 x+3}}{750891141 (3 x+2)^{3/2}}-\frac{54281308 \sqrt{1-2 x} \sqrt{5 x+3}}{35756721 (3 x+2)^{5/2}}-\frac{3894280616 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{477839817 \sqrt{33}}-\frac{129922578224 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{477839817 \sqrt{33}}",1,"(-54281308*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(35756721*(2 + 3*x)^(5/2)) + (1876198516*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(750891141*(2 + 3*x)^(3/2)) + (129922578224*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(5256237987*Sqrt[2 + 3*x]) - (2622980*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(1702701*(2 + 3*x)^(7/2)) - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(39*(2 + 3*x)^(13/2)) + (370*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(1287*(2 + 3*x)^(11/2)) + (60080*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(34749*(2 + 3*x)^(9/2)) - (129922578224*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(477839817*Sqrt[33]) - (3894280616*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(477839817*Sqrt[33])","A",10,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2785,1,311,0,0.14136,"\int \frac{(1-2 x)^{5/2} (3+5 x)^{5/2}}{(2+3 x)^{17/2}} \, dx","Int[((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(2 + 3*x)^(17/2),x]","\frac{16636 \sqrt{1-2 x} (5 x+3)^{5/2}}{11583 (3 x+2)^{11/2}}+\frac{74 (1-2 x)^{3/2} (5 x+3)^{5/2}}{351 (3 x+2)^{13/2}}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{45 (3 x+2)^{15/2}}-\frac{1085156 \sqrt{1-2 x} (5 x+3)^{3/2}}{729729 (3 x+2)^{9/2}}+\frac{12641611554328 \sqrt{1-2 x} \sqrt{5 x+3}}{183968329545 \sqrt{3 x+2}}+\frac{181941877952 \sqrt{1-2 x} \sqrt{5 x+3}}{26281189935 (3 x+2)^{3/2}}+\frac{3914701972 \sqrt{1-2 x} \sqrt{5 x+3}}{3754455705 (3 x+2)^{5/2}}-\frac{112817764 \sqrt{1-2 x} \sqrt{5 x+3}}{107270163 (3 x+2)^{7/2}}-\frac{380220959152 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{16724393595 \sqrt{33}}-\frac{12641611554328 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{16724393595 \sqrt{33}}","\frac{16636 \sqrt{1-2 x} (5 x+3)^{5/2}}{11583 (3 x+2)^{11/2}}+\frac{74 (1-2 x)^{3/2} (5 x+3)^{5/2}}{351 (3 x+2)^{13/2}}-\frac{2 (1-2 x)^{5/2} (5 x+3)^{5/2}}{45 (3 x+2)^{15/2}}-\frac{1085156 \sqrt{1-2 x} (5 x+3)^{3/2}}{729729 (3 x+2)^{9/2}}+\frac{12641611554328 \sqrt{1-2 x} \sqrt{5 x+3}}{183968329545 \sqrt{3 x+2}}+\frac{181941877952 \sqrt{1-2 x} \sqrt{5 x+3}}{26281189935 (3 x+2)^{3/2}}+\frac{3914701972 \sqrt{1-2 x} \sqrt{5 x+3}}{3754455705 (3 x+2)^{5/2}}-\frac{112817764 \sqrt{1-2 x} \sqrt{5 x+3}}{107270163 (3 x+2)^{7/2}}-\frac{380220959152 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{16724393595 \sqrt{33}}-\frac{12641611554328 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{16724393595 \sqrt{33}}",1,"(-112817764*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(107270163*(2 + 3*x)^(7/2)) + (3914701972*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3754455705*(2 + 3*x)^(5/2)) + (181941877952*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(26281189935*(2 + 3*x)^(3/2)) + (12641611554328*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(183968329545*Sqrt[2 + 3*x]) - (1085156*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(729729*(2 + 3*x)^(9/2)) - (2*(1 - 2*x)^(5/2)*(3 + 5*x)^(5/2))/(45*(2 + 3*x)^(15/2)) + (74*(1 - 2*x)^(3/2)*(3 + 5*x)^(5/2))/(351*(2 + 3*x)^(13/2)) + (16636*Sqrt[1 - 2*x]*(3 + 5*x)^(5/2))/(11583*(2 + 3*x)^(11/2)) - (12641611554328*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(16724393595*Sqrt[33]) - (380220959152*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(16724393595*Sqrt[33])","A",11,6,28,0.2143,1,"{97, 150, 152, 158, 113, 119}"
2786,1,218,0,0.0808639,"\int \frac{(1-2 x)^{5/2} (2+3 x)^{5/2}}{\sqrt{3+5 x}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^(5/2))/Sqrt[3 + 5*x],x]","\frac{2}{55} (1-2 x)^{5/2} \sqrt{5 x+3} (3 x+2)^{5/2}+\frac{62 (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^{5/2}}{1485}+\frac{4258 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}}{155925}+\frac{181333 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{3898125}-\frac{2865161 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{19490625}-\frac{3963068 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8859375 \sqrt{33}}-\frac{231061879 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{17718750 \sqrt{33}}","\frac{2}{55} (1-2 x)^{5/2} \sqrt{5 x+3} (3 x+2)^{5/2}+\frac{62 (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^{5/2}}{1485}+\frac{4258 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}}{155925}+\frac{181333 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{3898125}-\frac{2865161 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{19490625}-\frac{3963068 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8859375 \sqrt{33}}-\frac{231061879 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{17718750 \sqrt{33}}",1,"(-2865161*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/19490625 + (181333*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/3898125 + (4258*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/155925 + (62*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/1485 + (2*(1 - 2*x)^(5/2)*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/55 - (231061879*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(17718750*Sqrt[33]) - (3963068*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(8859375*Sqrt[33])","A",8,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2787,1,191,0,0.0648209,"\int \frac{(1-2 x)^{5/2} (2+3 x)^{3/2}}{\sqrt{3+5 x}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^(3/2))/Sqrt[3 + 5*x],x]","\frac{2}{45} (3 x+2)^{3/2} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{106 (3 x+2)^{3/2} \sqrt{5 x+3} (1-2 x)^{3/2}}{1575}+\frac{8878 (3 x+2)^{3/2} \sqrt{5 x+3} \sqrt{1-2 x}}{118125}+\frac{21547 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{1771875}-\frac{509189 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8859375}-\frac{8024546 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8859375}","\frac{2}{45} (3 x+2)^{3/2} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{106 (3 x+2)^{3/2} \sqrt{5 x+3} (1-2 x)^{3/2}}{1575}+\frac{8878 (3 x+2)^{3/2} \sqrt{5 x+3} \sqrt{1-2 x}}{118125}+\frac{21547 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{1771875}-\frac{509189 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8859375}-\frac{8024546 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8859375}",1,"(21547*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/1771875 + (8878*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/118125 + (106*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/1575 + (2*(1 - 2*x)^(5/2)*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/45 - (8024546*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/8859375 - (509189*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/8859375","A",7,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2788,1,160,0,0.0528908,"\int \frac{(1-2 x)^{5/2} \sqrt{2+3 x}}{\sqrt{3+5 x}} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[2 + 3*x])/Sqrt[3 + 5*x],x]","\frac{2}{35} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{326 \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{3/2}}{2625}+\frac{30922 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{118125}-\frac{132824 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{590625}-\frac{408311 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{590625}","\frac{2}{35} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{5/2}+\frac{326 \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{3/2}}{2625}+\frac{30922 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{118125}-\frac{132824 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{590625}-\frac{408311 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{590625}",1,"(30922*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/118125 + (326*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/2625 + (2*(1 - 2*x)^(5/2)*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/35 - (408311*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/590625 - (132824*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/590625","A",6,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2789,1,129,0,0.0383569,"\int \frac{(1-2 x)^{5/2}}{\sqrt{2+3 x} \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/(Sqrt[2 + 3*x]*Sqrt[3 + 5*x]),x]","-\frac{4}{75} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{1088 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{3375}-\frac{34154 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{16875}+\frac{53194 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{16875}","-\frac{4}{75} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{1088 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{3375}-\frac{34154 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{16875}+\frac{53194 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{16875}",1,"(-1088*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/3375 - (4*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/75 + (53194*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/16875 - (34154*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/16875","A",5,5,28,0.1786,1,"{102, 154, 158, 113, 119}"
2790,1,129,0,0.0383746,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{14 \sqrt{5 x+3} (1-2 x)^{3/2}}{3 \sqrt{3 x+2}}+\frac{428}{135} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{824}{675} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{8314}{675} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{14 \sqrt{5 x+3} (1-2 x)^{3/2}}{3 \sqrt{3 x+2}}+\frac{428}{135} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{824}{675} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{8314}{675} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(3*Sqrt[2 + 3*x]) + (428*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/135 - (8314*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/675 + (824*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/675","A",5,5,28,0.1786,1,"{98, 154, 158, 113, 119}"
2791,1,129,0,0.0395256,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{14 \sqrt{5 x+3} (1-2 x)^{3/2}}{9 (3 x+2)^{3/2}}+\frac{812 \sqrt{5 x+3} \sqrt{1-2 x}}{27 \sqrt{3 x+2}}-\frac{164}{135} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{3896}{135} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{14 \sqrt{5 x+3} (1-2 x)^{3/2}}{9 (3 x+2)^{3/2}}+\frac{812 \sqrt{5 x+3} \sqrt{1-2 x}}{27 \sqrt{3 x+2}}-\frac{164}{135} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{3896}{135} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(9*(2 + 3*x)^(3/2)) + (812*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(27*Sqrt[2 + 3*x]) - (3896*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/135 - (164*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/135","A",5,5,28,0.1786,1,"{98, 150, 158, 113, 119}"
2792,1,160,0,0.0525548,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{7/2} \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(7/2)*Sqrt[3 + 5*x]),x]","\frac{14 \sqrt{5 x+3} (1-2 x)^{3/2}}{15 (3 x+2)^{5/2}}+\frac{16564 \sqrt{5 x+3} \sqrt{1-2 x}}{135 \sqrt{3 x+2}}+\frac{1736 \sqrt{5 x+3} \sqrt{1-2 x}}{135 (3 x+2)^{3/2}}-\frac{496}{135} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{16564}{135} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{14 \sqrt{5 x+3} (1-2 x)^{3/2}}{15 (3 x+2)^{5/2}}+\frac{16564 \sqrt{5 x+3} \sqrt{1-2 x}}{135 \sqrt{3 x+2}}+\frac{1736 \sqrt{5 x+3} \sqrt{1-2 x}}{135 (3 x+2)^{3/2}}-\frac{496}{135} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{16564}{135} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(15*(2 + 3*x)^(5/2)) + (1736*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(135*(2 + 3*x)^(3/2)) + (16564*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(135*Sqrt[2 + 3*x]) - (16564*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/135 - (496*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/135","A",6,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2793,1,191,0,0.0665178,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{9/2} \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(9/2)*Sqrt[3 + 5*x]),x]","\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{3 (3 x+2)^{7/2}}+\frac{703480 \sqrt{5 x+3} \sqrt{1-2 x}}{1323 \sqrt{3 x+2}}+\frac{10124 \sqrt{5 x+3} \sqrt{1-2 x}}{189 (3 x+2)^{3/2}}+\frac{76 \sqrt{5 x+3} \sqrt{1-2 x}}{9 (3 x+2)^{5/2}}-\frac{21160 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1323}-\frac{703480 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1323}","\frac{2 \sqrt{5 x+3} (1-2 x)^{3/2}}{3 (3 x+2)^{7/2}}+\frac{703480 \sqrt{5 x+3} \sqrt{1-2 x}}{1323 \sqrt{3 x+2}}+\frac{10124 \sqrt{5 x+3} \sqrt{1-2 x}}{189 (3 x+2)^{3/2}}+\frac{76 \sqrt{5 x+3} \sqrt{1-2 x}}{9 (3 x+2)^{5/2}}-\frac{21160 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1323}-\frac{703480 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1323}",1,"(2*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(3*(2 + 3*x)^(7/2)) + (76*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(9*(2 + 3*x)^(5/2)) + (10124*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(189*(2 + 3*x)^(3/2)) + (703480*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1323*Sqrt[2 + 3*x]) - (703480*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1323 - (21160*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1323","A",7,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2794,1,222,0,0.0803941,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{11/2} \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(11/2)*Sqrt[3 + 5*x]),x]","\frac{14 \sqrt{5 x+3} (1-2 x)^{3/2}}{27 (3 x+2)^{9/2}}+\frac{66055016 \sqrt{5 x+3} \sqrt{1-2 x}}{27783 \sqrt{3 x+2}}+\frac{950584 \sqrt{5 x+3} \sqrt{1-2 x}}{3969 (3 x+2)^{3/2}}+\frac{20420 \sqrt{5 x+3} \sqrt{1-2 x}}{567 (3 x+2)^{5/2}}+\frac{512 \sqrt{5 x+3} \sqrt{1-2 x}}{81 (3 x+2)^{7/2}}-\frac{1986944 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{27783}-\frac{66055016 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{27783}","\frac{14 \sqrt{5 x+3} (1-2 x)^{3/2}}{27 (3 x+2)^{9/2}}+\frac{66055016 \sqrt{5 x+3} \sqrt{1-2 x}}{27783 \sqrt{3 x+2}}+\frac{950584 \sqrt{5 x+3} \sqrt{1-2 x}}{3969 (3 x+2)^{3/2}}+\frac{20420 \sqrt{5 x+3} \sqrt{1-2 x}}{567 (3 x+2)^{5/2}}+\frac{512 \sqrt{5 x+3} \sqrt{1-2 x}}{81 (3 x+2)^{7/2}}-\frac{1986944 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{27783}-\frac{66055016 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{27783}",1,"(14*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(27*(2 + 3*x)^(9/2)) + (512*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(81*(2 + 3*x)^(7/2)) + (20420*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(567*(2 + 3*x)^(5/2)) + (950584*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3969*(2 + 3*x)^(3/2)) + (66055016*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(27783*Sqrt[2 + 3*x]) - (66055016*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/27783 - (1986944*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/27783","A",8,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2795,1,249,0,0.0961144,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{13/2} \sqrt{3+5 x}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(13/2)*Sqrt[3 + 5*x]),x]","\frac{14 \sqrt{5 x+3} (1-2 x)^{3/2}}{33 (3 x+2)^{11/2}}+\frac{23204503328 \sqrt{5 x+3} \sqrt{1-2 x}}{2139291 \sqrt{3 x+2}}+\frac{333930952 \sqrt{5 x+3} \sqrt{1-2 x}}{305613 (3 x+2)^{3/2}}+\frac{7173272 \sqrt{5 x+3} \sqrt{1-2 x}}{43659 (3 x+2)^{5/2}}+\frac{171004 \sqrt{5 x+3} \sqrt{1-2 x}}{6237 (3 x+2)^{7/2}}+\frac{4508 \sqrt{5 x+3} \sqrt{1-2 x}}{891 (3 x+2)^{9/2}}-\frac{697995152 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{194481 \sqrt{33}}-\frac{23204503328 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{194481 \sqrt{33}}","\frac{14 \sqrt{5 x+3} (1-2 x)^{3/2}}{33 (3 x+2)^{11/2}}+\frac{23204503328 \sqrt{5 x+3} \sqrt{1-2 x}}{2139291 \sqrt{3 x+2}}+\frac{333930952 \sqrt{5 x+3} \sqrt{1-2 x}}{305613 (3 x+2)^{3/2}}+\frac{7173272 \sqrt{5 x+3} \sqrt{1-2 x}}{43659 (3 x+2)^{5/2}}+\frac{171004 \sqrt{5 x+3} \sqrt{1-2 x}}{6237 (3 x+2)^{7/2}}+\frac{4508 \sqrt{5 x+3} \sqrt{1-2 x}}{891 (3 x+2)^{9/2}}-\frac{697995152 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{194481 \sqrt{33}}-\frac{23204503328 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{194481 \sqrt{33}}",1,"(14*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x])/(33*(2 + 3*x)^(11/2)) + (4508*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(891*(2 + 3*x)^(9/2)) + (171004*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(6237*(2 + 3*x)^(7/2)) + (7173272*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(43659*(2 + 3*x)^(5/2)) + (333930952*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(305613*(2 + 3*x)^(3/2)) + (23204503328*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2139291*Sqrt[2 + 3*x]) - (23204503328*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(194481*Sqrt[33]) - (697995152*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(194481*Sqrt[33])","A",9,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2796,1,249,0,0.1031853,"\int \frac{(1-2 x)^{5/2} (2+3 x)^{7/2}}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^(7/2))/(3 + 5*x)^(3/2),x]","-\frac{48}{275} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^{7/2}-\frac{2972 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{7/2}}{7425}-\frac{2 (1-2 x)^{5/2} (3 x+2)^{7/2}}{5 \sqrt{5 x+3}}+\frac{346636 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}}{259875}+\frac{2020841 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{6496875}-\frac{703672 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{32484375}-\frac{7261561 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{14765625 \sqrt{33}}-\frac{264260033 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{29531250 \sqrt{33}}","-\frac{48}{275} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^{7/2}-\frac{2972 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{7/2}}{7425}-\frac{2 (1-2 x)^{5/2} (3 x+2)^{7/2}}{5 \sqrt{5 x+3}}+\frac{346636 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}}{259875}+\frac{2020841 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{6496875}-\frac{703672 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{32484375}-\frac{7261561 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{14765625 \sqrt{33}}-\frac{264260033 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{29531250 \sqrt{33}}",1,"(-2*(1 - 2*x)^(5/2)*(2 + 3*x)^(7/2))/(5*Sqrt[3 + 5*x]) - (703672*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/32484375 + (2020841*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/6496875 + (346636*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/259875 - (2972*Sqrt[1 - 2*x]*(2 + 3*x)^(7/2)*Sqrt[3 + 5*x])/7425 - (48*(1 - 2*x)^(3/2)*(2 + 3*x)^(7/2)*Sqrt[3 + 5*x])/275 - (264260033*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(29531250*Sqrt[33]) - (7261561*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(14765625*Sqrt[33])","A",9,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2797,1,222,0,0.0839128,"\int \frac{(1-2 x)^{5/2} (2+3 x)^{5/2}}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^(5/2))/(3 + 5*x)^(3/2),x]","-\frac{8}{45} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^{5/2}-\frac{1972 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}}{4725}-\frac{2 (1-2 x)^{5/2} (3 x+2)^{5/2}}{5 \sqrt{5 x+3}}+\frac{167228 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{118125}+\frac{196499 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{590625}-\frac{299863 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2953125}-\frac{1509007 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2953125}","-\frac{8}{45} (1-2 x)^{3/2} \sqrt{5 x+3} (3 x+2)^{5/2}-\frac{1972 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}}{4725}-\frac{2 (1-2 x)^{5/2} (3 x+2)^{5/2}}{5 \sqrt{5 x+3}}+\frac{167228 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{118125}+\frac{196499 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{590625}-\frac{299863 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2953125}-\frac{1509007 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2953125}",1,"(-2*(1 - 2*x)^(5/2)*(2 + 3*x)^(5/2))/(5*Sqrt[3 + 5*x]) + (196499*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/590625 + (167228*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/118125 - (1972*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/4725 - (8*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/45 - (1509007*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2953125 - (299863*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2953125","A",8,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2798,1,191,0,0.067703,"\int \frac{(1-2 x)^{5/2} (2+3 x)^{3/2}}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^(3/2))/(3 + 5*x)^(3/2),x]","-\frac{2 (3 x+2)^{3/2} (1-2 x)^{5/2}}{5 \sqrt{5 x+3}}-\frac{32}{175} (3 x+2)^{3/2} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{1972 (3 x+2)^{3/2} \sqrt{5 x+3} \sqrt{1-2 x}}{4375}+\frac{106772 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{65625}-\frac{110014 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{328125}+\frac{53279 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{328125}","-\frac{2 (3 x+2)^{3/2} (1-2 x)^{5/2}}{5 \sqrt{5 x+3}}-\frac{32}{175} (3 x+2)^{3/2} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{1972 (3 x+2)^{3/2} \sqrt{5 x+3} \sqrt{1-2 x}}{4375}+\frac{106772 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{65625}-\frac{110014 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{328125}+\frac{53279 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{328125}",1,"(-2*(1 - 2*x)^(5/2)*(2 + 3*x)^(3/2))/(5*Sqrt[3 + 5*x]) + (106772*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/65625 - (1972*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/4375 - (32*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/175 + (53279*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/328125 - (110014*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/328125","A",7,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2799,1,160,0,0.0508289,"\int \frac{(1-2 x)^{5/2} \sqrt{2+3 x}}{(3+5 x)^{3/2}} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[2 + 3*x])/(3 + 5*x)^(3/2),x]","-\frac{2 \sqrt{3 x+2} (1-2 x)^{5/2}}{5 \sqrt{5 x+3}}-\frac{24}{125} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{3028 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{5625}-\frac{28174 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{28125}+\frac{81164 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{28125}","-\frac{2 \sqrt{3 x+2} (1-2 x)^{5/2}}{5 \sqrt{5 x+3}}-\frac{24}{125} \sqrt{3 x+2} \sqrt{5 x+3} (1-2 x)^{3/2}-\frac{3028 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{5625}-\frac{28174 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{28125}+\frac{81164 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{28125}",1,"(-2*(1 - 2*x)^(5/2)*Sqrt[2 + 3*x])/(5*Sqrt[3 + 5*x]) - (3028*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/5625 - (24*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/125 + (81164*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/28125 - (28174*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/28125","A",6,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2800,1,129,0,0.0388816,"\int \frac{(1-2 x)^{5/2}}{\sqrt{2+3 x} (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(5/2)/(Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)),x]","-\frac{22 \sqrt{3 x+2} (1-2 x)^{3/2}}{5 \sqrt{5 x+3}}-\frac{388}{225} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{1196 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1125}+\frac{5594 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1125}","-\frac{22 \sqrt{3 x+2} (1-2 x)^{3/2}}{5 \sqrt{5 x+3}}-\frac{388}{225} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{1196 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1125}+\frac{5594 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1125}",1,"(-22*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x])/(5*Sqrt[3 + 5*x]) - (388*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/225 + (5594*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1125 + (1196*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1125","A",5,5,28,0.1786,1,"{98, 154, 158, 113, 119}"
2801,1,129,0,0.0405258,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)),x]","\frac{14 (1-2 x)^{3/2}}{3 \sqrt{3 x+2} \sqrt{5 x+3}}-\frac{1496 \sqrt{3 x+2} \sqrt{1-2 x}}{15 \sqrt{5 x+3}}+\frac{124}{75} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{4636}{75} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{14 (1-2 x)^{3/2}}{3 \sqrt{3 x+2} \sqrt{5 x+3}}-\frac{1496 \sqrt{3 x+2} \sqrt{1-2 x}}{15 \sqrt{5 x+3}}+\frac{124}{75} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{4636}{75} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*(1 - 2*x)^(3/2))/(3*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (1496*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(15*Sqrt[3 + 5*x]) + (4636*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/75 + (124*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/75","A",5,5,28,0.1786,1,"{98, 150, 158, 113, 119}"
2802,1,160,0,0.0512834,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)),x]","\frac{14 (1-2 x)^{3/2}}{9 (3 x+2)^{3/2} \sqrt{5 x+3}}-\frac{17804 \sqrt{3 x+2} \sqrt{1-2 x}}{27 \sqrt{5 x+3}}+\frac{1792 \sqrt{1-2 x}}{27 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{536}{45} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{17804}{45} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{14 (1-2 x)^{3/2}}{9 (3 x+2)^{3/2} \sqrt{5 x+3}}-\frac{17804 \sqrt{3 x+2} \sqrt{1-2 x}}{27 \sqrt{5 x+3}}+\frac{1792 \sqrt{1-2 x}}{27 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{536}{45} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{17804}{45} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*(1 - 2*x)^(3/2))/(9*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (1792*Sqrt[1 - 2*x])/(27*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (17804*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(27*Sqrt[3 + 5*x]) + (17804*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/45 + (536*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/45","A",6,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2803,1,191,0,0.0636568,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{7/2} (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(7/2)*(3 + 5*x)^(3/2)),x]","\frac{14 (1-2 x)^{3/2}}{15 (3 x+2)^{5/2} \sqrt{5 x+3}}-\frac{105584 \sqrt{3 x+2} \sqrt{1-2 x}}{27 \sqrt{5 x+3}}+\frac{17468 \sqrt{1-2 x}}{45 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{2716 \sqrt{1-2 x}}{135 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{3176}{45} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{105584}{45} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{14 (1-2 x)^{3/2}}{15 (3 x+2)^{5/2} \sqrt{5 x+3}}-\frac{105584 \sqrt{3 x+2} \sqrt{1-2 x}}{27 \sqrt{5 x+3}}+\frac{17468 \sqrt{1-2 x}}{45 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{2716 \sqrt{1-2 x}}{135 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{3176}{45} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{105584}{45} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*(1 - 2*x)^(3/2))/(15*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]) + (2716*Sqrt[1 - 2*x])/(135*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (17468*Sqrt[1 - 2*x])/(45*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (105584*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(27*Sqrt[3 + 5*x]) + (105584*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/45 + (3176*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/45","A",7,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2804,1,222,0,0.0804856,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{9/2} (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(9/2)*(3 + 5*x)^(3/2)),x]","\frac{2 (1-2 x)^{3/2}}{3 (3 x+2)^{7/2} \sqrt{5 x+3}}-\frac{9795160 \sqrt{3 x+2} \sqrt{1-2 x}}{441 \sqrt{5 x+3}}+\frac{324104 \sqrt{1-2 x}}{147 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{2332 \sqrt{1-2 x}}{21 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{104 \sqrt{1-2 x}}{9 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{58928}{147} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{1959032}{147} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{2 (1-2 x)^{3/2}}{3 (3 x+2)^{7/2} \sqrt{5 x+3}}-\frac{9795160 \sqrt{3 x+2} \sqrt{1-2 x}}{441 \sqrt{5 x+3}}+\frac{324104 \sqrt{1-2 x}}{147 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{2332 \sqrt{1-2 x}}{21 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{104 \sqrt{1-2 x}}{9 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{58928}{147} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{1959032}{147} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*(1 - 2*x)^(3/2))/(3*(2 + 3*x)^(7/2)*Sqrt[3 + 5*x]) + (104*Sqrt[1 - 2*x])/(9*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]) + (2332*Sqrt[1 - 2*x])/(21*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (324104*Sqrt[1 - 2*x])/(147*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (9795160*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(441*Sqrt[3 + 5*x]) + (1959032*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/147 + (58928*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/147","A",8,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2805,1,253,0,0.0963376,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{11/2} (3+5 x)^{3/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(11/2)*(3 + 5*x)^(3/2)),x]","\frac{14 (1-2 x)^{3/2}}{27 (3 x+2)^{9/2} \sqrt{5 x+3}}-\frac{3415750480 \sqrt{3 x+2} \sqrt{1-2 x}}{27783 \sqrt{5 x+3}}+\frac{113020952 \sqrt{1-2 x}}{9261 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{813208 \sqrt{1-2 x}}{1323 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{11660 \sqrt{1-2 x}}{189 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{652 \sqrt{1-2 x}}{81 (3 x+2)^{7/2} \sqrt{5 x+3}}+\frac{20549264 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{9261}+\frac{683150096 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{9261}","\frac{14 (1-2 x)^{3/2}}{27 (3 x+2)^{9/2} \sqrt{5 x+3}}-\frac{3415750480 \sqrt{3 x+2} \sqrt{1-2 x}}{27783 \sqrt{5 x+3}}+\frac{113020952 \sqrt{1-2 x}}{9261 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{813208 \sqrt{1-2 x}}{1323 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{11660 \sqrt{1-2 x}}{189 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{652 \sqrt{1-2 x}}{81 (3 x+2)^{7/2} \sqrt{5 x+3}}+\frac{20549264 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{9261}+\frac{683150096 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{9261}",1,"(14*(1 - 2*x)^(3/2))/(27*(2 + 3*x)^(9/2)*Sqrt[3 + 5*x]) + (652*Sqrt[1 - 2*x])/(81*(2 + 3*x)^(7/2)*Sqrt[3 + 5*x]) + (11660*Sqrt[1 - 2*x])/(189*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]) + (813208*Sqrt[1 - 2*x])/(1323*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (113020952*Sqrt[1 - 2*x])/(9261*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (3415750480*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(27783*Sqrt[3 + 5*x]) + (683150096*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/9261 + (20549264*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/9261","A",9,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2806,1,253,0,0.099954,"\int \frac{(1-2 x)^{5/2} (2+3 x)^{7/2}}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^(7/2))/(3 + 5*x)^(5/2),x]","-\frac{524}{225} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{7/2}-\frac{442 (1-2 x)^{3/2} (3 x+2)^{7/2}}{75 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{5/2} (3 x+2)^{7/2}}{15 (5 x+3)^{3/2}}+\frac{59662 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}}{7875}+\frac{373022 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{196875}+\frac{500501 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{984375}-\frac{595387 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{4921875}-\frac{1065118 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{4921875}","-\frac{524}{225} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{7/2}-\frac{442 (1-2 x)^{3/2} (3 x+2)^{7/2}}{75 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{5/2} (3 x+2)^{7/2}}{15 (5 x+3)^{3/2}}+\frac{59662 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}}{7875}+\frac{373022 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{196875}+\frac{500501 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{984375}-\frac{595387 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{4921875}-\frac{1065118 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{4921875}",1,"(-2*(1 - 2*x)^(5/2)*(2 + 3*x)^(7/2))/(15*(3 + 5*x)^(3/2)) - (442*(1 - 2*x)^(3/2)*(2 + 3*x)^(7/2))/(75*Sqrt[3 + 5*x]) + (500501*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/984375 + (373022*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/196875 + (59662*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/7875 - (524*Sqrt[1 - 2*x]*(2 + 3*x)^(7/2)*Sqrt[3 + 5*x])/225 - (1065118*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/4921875 - (595387*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/4921875","A",9,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2807,1,222,0,0.0796846,"\int \frac{(1-2 x)^{5/2} (2+3 x)^{5/2}}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^(5/2))/(3 + 5*x)^(5/2),x]","-\frac{284}{175} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}-\frac{62 (1-2 x)^{3/2} (3 x+2)^{5/2}}{15 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{5/2} (3 x+2)^{5/2}}{15 (5 x+3)^{3/2}}+\frac{22866 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{4375}+\frac{33778 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{21875}-\frac{32836 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375}+\frac{49321 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375}","-\frac{284}{175} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}-\frac{62 (1-2 x)^{3/2} (3 x+2)^{5/2}}{15 \sqrt{5 x+3}}-\frac{2 (1-2 x)^{5/2} (3 x+2)^{5/2}}{15 (5 x+3)^{3/2}}+\frac{22866 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{4375}+\frac{33778 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{21875}-\frac{32836 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375}+\frac{49321 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{109375}",1,"(-2*(1 - 2*x)^(5/2)*(2 + 3*x)^(5/2))/(15*(3 + 5*x)^(3/2)) - (62*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2))/(15*Sqrt[3 + 5*x]) + (33778*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/21875 + (22866*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/4375 - (284*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/175 + (49321*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/109375 - (32836*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/109375","A",8,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2808,1,189,0,0.0667983,"\int \frac{(1-2 x)^{5/2} (2+3 x)^{3/2}}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(5/2)*(2 + 3*x)^(3/2))/(3 + 5*x)^(5/2),x]","-\frac{2 (3 x+2)^{3/2} (1-2 x)^{5/2}}{15 (5 x+3)^{3/2}}-\frac{178 (3 x+2)^{3/2} (1-2 x)^{3/2}}{75 \sqrt{5 x+3}}-\frac{572}{625} (3 x+2)^{3/2} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{8874 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{3125}-\frac{7738 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15625}+\frac{9206 \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15625}","-\frac{2 (3 x+2)^{3/2} (1-2 x)^{5/2}}{15 (5 x+3)^{3/2}}-\frac{178 (3 x+2)^{3/2} (1-2 x)^{3/2}}{75 \sqrt{5 x+3}}-\frac{572}{625} (3 x+2)^{3/2} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{8874 \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}}{3125}-\frac{7738 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15625}+\frac{9206 \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15625}",1,"(-2*(1 - 2*x)^(5/2)*(2 + 3*x)^(3/2))/(15*(3 + 5*x)^(3/2)) - (178*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2))/(75*Sqrt[3 + 5*x]) + (8874*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/3125 - (572*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/625 + (9206*Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/15625 - (7738*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/15625","A",7,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2809,1,160,0,0.0491062,"\int \frac{(1-2 x)^{5/2} \sqrt{2+3 x}}{(3+5 x)^{5/2}} \, dx","Int[((1 - 2*x)^(5/2)*Sqrt[2 + 3*x])/(3 + 5*x)^(5/2),x]","-\frac{2 \sqrt{3 x+2} (1-2 x)^{5/2}}{15 (5 x+3)^{3/2}}-\frac{46 \sqrt{3 x+2} (1-2 x)^{3/2}}{75 \sqrt{5 x+3}}-\frac{76}{375} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{992 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1875}+\frac{338 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1875}","-\frac{2 \sqrt{3 x+2} (1-2 x)^{5/2}}{15 (5 x+3)^{3/2}}-\frac{46 \sqrt{3 x+2} (1-2 x)^{3/2}}{75 \sqrt{5 x+3}}-\frac{76}{375} \sqrt{3 x+2} \sqrt{5 x+3} \sqrt{1-2 x}+\frac{992 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1875}+\frac{338 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1875}",1,"(-2*(1 - 2*x)^(5/2)*Sqrt[2 + 3*x])/(15*(3 + 5*x)^(3/2)) - (46*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x])/(75*Sqrt[3 + 5*x]) - (76*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/375 + (338*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1875 + (992*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1875","A",6,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2810,1,127,0,0.0366901,"\int \frac{(1-2 x)^{5/2}}{\sqrt{2+3 x} (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(5/2)/(Sqrt[2 + 3*x]*(3 + 5*x)^(5/2)),x]","-\frac{22 \sqrt{3 x+2} (1-2 x)^{3/2}}{15 (5 x+3)^{3/2}}+\frac{572 \sqrt{3 x+2} \sqrt{1-2 x}}{25 \sqrt{5 x+3}}-\frac{68}{125} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{584}{125} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{22 \sqrt{3 x+2} (1-2 x)^{3/2}}{15 (5 x+3)^{3/2}}+\frac{572 \sqrt{3 x+2} \sqrt{1-2 x}}{25 \sqrt{5 x+3}}-\frac{68}{125} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{584}{125} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-22*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x])/(15*(3 + 5*x)^(3/2)) + (572*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(25*Sqrt[3 + 5*x]) - (584*Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/125 - (68*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/125","A",5,5,28,0.1786,1,"{98, 150, 158, 113, 119}"
2811,1,158,0,0.0489016,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(3/2)*(3 + 5*x)^(5/2)),x]","\frac{14 (1-2 x)^{3/2}}{3 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{6388 \sqrt{3 x+2} \sqrt{1-2 x}}{15 \sqrt{5 x+3}}-\frac{1012 \sqrt{3 x+2} \sqrt{1-2 x}}{15 (5 x+3)^{3/2}}-\frac{64}{25} \sqrt{33} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{6388}{25} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{14 (1-2 x)^{3/2}}{3 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{6388 \sqrt{3 x+2} \sqrt{1-2 x}}{15 \sqrt{5 x+3}}-\frac{1012 \sqrt{3 x+2} \sqrt{1-2 x}}{15 (5 x+3)^{3/2}}-\frac{64}{25} \sqrt{33} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{6388}{25} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*(1 - 2*x)^(3/2))/(3*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (1012*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(15*(3 + 5*x)^(3/2)) + (6388*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(15*Sqrt[3 + 5*x]) - (6388*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/25 - (64*Sqrt[33]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/25","A",6,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2812,1,191,0,0.0640875,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{14 (1-2 x)^{3/2}}{9 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{36968 \sqrt{3 x+2} \sqrt{1-2 x}}{9 \sqrt{5 x+3}}-\frac{6116 \sqrt{3 x+2} \sqrt{1-2 x}}{9 (5 x+3)^{3/2}}+\frac{308 \sqrt{1-2 x}}{3 \sqrt{3 x+2} (5 x+3)^{3/2}}-\frac{1112}{15} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{36968}{15} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{14 (1-2 x)^{3/2}}{9 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{36968 \sqrt{3 x+2} \sqrt{1-2 x}}{9 \sqrt{5 x+3}}-\frac{6116 \sqrt{3 x+2} \sqrt{1-2 x}}{9 (5 x+3)^{3/2}}+\frac{308 \sqrt{1-2 x}}{3 \sqrt{3 x+2} (5 x+3)^{3/2}}-\frac{1112}{15} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{36968}{15} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*(1 - 2*x)^(3/2))/(9*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (308*Sqrt[1 - 2*x])/(3*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (6116*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(9*(3 + 5*x)^(3/2)) + (36968*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(9*Sqrt[3 + 5*x]) - (36968*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/15 - (1112*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/15","A",7,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2813,1,222,0,0.0802233,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{7/2} (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(7/2)*(3 + 5*x)^(5/2)),x]","\frac{14 (1-2 x)^{3/2}}{15 (3 x+2)^{5/2} (5 x+3)^{3/2}}+\frac{96808 \sqrt{3 x+2} \sqrt{1-2 x}}{3 \sqrt{5 x+3}}-\frac{16016 \sqrt{3 x+2} \sqrt{1-2 x}}{3 (5 x+3)^{3/2}}+\frac{35948 \sqrt{1-2 x}}{45 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{1232 \sqrt{1-2 x}}{45 (3 x+2)^{3/2} (5 x+3)^{3/2}}-\frac{2912}{5} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{96808}{5} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{14 (1-2 x)^{3/2}}{15 (3 x+2)^{5/2} (5 x+3)^{3/2}}+\frac{96808 \sqrt{3 x+2} \sqrt{1-2 x}}{3 \sqrt{5 x+3}}-\frac{16016 \sqrt{3 x+2} \sqrt{1-2 x}}{3 (5 x+3)^{3/2}}+\frac{35948 \sqrt{1-2 x}}{45 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{1232 \sqrt{1-2 x}}{45 (3 x+2)^{3/2} (5 x+3)^{3/2}}-\frac{2912}{5} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{96808}{5} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(14*(1 - 2*x)^(3/2))/(15*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)) + (1232*Sqrt[1 - 2*x])/(45*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (35948*Sqrt[1 - 2*x])/(45*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (16016*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3*(3 + 5*x)^(3/2)) + (96808*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3*Sqrt[3 + 5*x]) - (96808*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5 - (2912*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5","A",8,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2814,1,251,0,0.1028962,"\int \frac{(1-2 x)^{5/2}}{(2+3 x)^{9/2} (3+5 x)^{5/2}} \, dx","Int[(1 - 2*x)^(5/2)/((2 + 3*x)^(9/2)*(3 + 5*x)^(5/2)),x]","\frac{2 (1-2 x)^{3/2}}{3 (3 x+2)^{7/2} (5 x+3)^{3/2}}+\frac{11171040 \sqrt{3 x+2} \sqrt{1-2 x}}{49 \sqrt{5 x+3}}-\frac{5544440 \sqrt{3 x+2} \sqrt{1-2 x}}{147 (5 x+3)^{3/2}}+\frac{2488904 \sqrt{1-2 x}}{441 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{11924 \sqrt{1-2 x}}{63 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{44 \sqrt{1-2 x}}{3 (3 x+2)^{5/2} (5 x+3)^{3/2}}-\frac{201616}{49} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{2234208}{49} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{2 (1-2 x)^{3/2}}{3 (3 x+2)^{7/2} (5 x+3)^{3/2}}+\frac{11171040 \sqrt{3 x+2} \sqrt{1-2 x}}{49 \sqrt{5 x+3}}-\frac{5544440 \sqrt{3 x+2} \sqrt{1-2 x}}{147 (5 x+3)^{3/2}}+\frac{2488904 \sqrt{1-2 x}}{441 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{11924 \sqrt{1-2 x}}{63 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{44 \sqrt{1-2 x}}{3 (3 x+2)^{5/2} (5 x+3)^{3/2}}-\frac{201616}{49} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{2234208}{49} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*(1 - 2*x)^(3/2))/(3*(2 + 3*x)^(7/2)*(3 + 5*x)^(3/2)) + (44*Sqrt[1 - 2*x])/(3*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)) + (11924*Sqrt[1 - 2*x])/(63*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (2488904*Sqrt[1 - 2*x])/(441*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (5544440*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(147*(3 + 5*x)^(3/2)) + (11171040*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(49*Sqrt[3 + 5*x]) - (2234208*Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/49 - (201616*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/49","A",9,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2815,1,158,0,0.0507795,"\int \frac{(2+3 x)^{5/2} \sqrt{3+5 x}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/Sqrt[1 - 2*x],x]","-\frac{1}{7} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}-\frac{104}{175} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{4839 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{1750}-\frac{5057 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8750}-\frac{56041 \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8750}","-\frac{1}{7} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}-\frac{104}{175} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{4839 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{1750}-\frac{5057 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8750}-\frac{56041 \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8750}",1,"(-4839*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/1750 - (104*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/175 - (Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/7 - (56041*Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/8750 - (5057*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/8750","A",6,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2816,1,127,0,0.0378338,"\int \frac{(2+3 x)^{3/2} \sqrt{3+5 x}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/Sqrt[1 - 2*x],x]","-\frac{1}{5} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{23}{25} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{8}{125} \sqrt{33} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{1597}{250} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{1}{5} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{23}{25} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{8}{125} \sqrt{33} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{1597}{250} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-23*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/25 - (Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/5 - (1597*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/250 - (8*Sqrt[33]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/125","A",5,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2817,1,98,0,0.0279844,"\int \frac{\sqrt{2+3 x} \sqrt{3+5 x}}{\sqrt{1-2 x}} \, dx","Int[(Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/Sqrt[1 - 2*x],x]","-\frac{1}{3} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{1}{15} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{34}{15} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{1}{3} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{1}{15} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{34}{15} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"-(Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/3 - (34*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/15 - (Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/15","A",4,4,28,0.1429,1,"{101, 158, 113, 119}"
2818,1,31,0,0.0056633,"\int \frac{\sqrt{3+5 x}}{\sqrt{1-2 x} \sqrt{2+3 x}} \, dx","Int[Sqrt[3 + 5*x]/(Sqrt[1 - 2*x]*Sqrt[2 + 3*x]),x]","-\sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"-(Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])","A",1,1,28,0.03571,1,"{113}"
2819,1,81,0,0.0222998,"\int \frac{\sqrt{3+5 x}}{\sqrt{1-2 x} (2+3 x)^{3/2}} \, dx","Int[Sqrt[3 + 5*x]/(Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)),x]","\frac{2 \sqrt{\frac{5}{7}} \sqrt{-5 x-3} E\left(\sin ^{-1}\left(\sqrt{5} \sqrt{3 x+2}\right)|\frac{2}{35}\right)}{3 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{7 \sqrt{3 x+2}}","\frac{2 \sqrt{\frac{5}{7}} \sqrt{-5 x-3} E\left(\sin ^{-1}\left(\sqrt{5} \sqrt{3 x+2}\right)|\frac{2}{35}\right)}{3 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{7 \sqrt{3 x+2}}",1,"(-2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(7*Sqrt[2 + 3*x]) + (2*Sqrt[5/7]*Sqrt[-3 - 5*x]*EllipticE[ArcSin[Sqrt[5]*Sqrt[2 + 3*x]], 2/35])/(3*Sqrt[3 + 5*x])","A",4,4,28,0.1429,1,"{99, 21, 114, 113}"
2820,1,129,0,0.0383998,"\int \frac{\sqrt{3+5 x}}{\sqrt{1-2 x} (2+3 x)^{5/2}} \, dx","Int[Sqrt[3 + 5*x]/(Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)),x]","\frac{62 \sqrt{1-2 x} \sqrt{5 x+3}}{147 \sqrt{3 x+2}}-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{21 (3 x+2)^{3/2}}-\frac{8}{147} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{62}{147} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{62 \sqrt{1-2 x} \sqrt{5 x+3}}{147 \sqrt{3 x+2}}-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{21 (3 x+2)^{3/2}}-\frac{8}{147} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{62}{147} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(21*(2 + 3*x)^(3/2)) + (62*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(147*Sqrt[2 + 3*x]) - (62*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/147 - (8*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/147","A",5,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2821,1,158,0,0.0514284,"\int \frac{\sqrt{3+5 x}}{\sqrt{1-2 x} (2+3 x)^{7/2}} \, dx","Int[Sqrt[3 + 5*x]/(Sqrt[1 - 2*x]*(2 + 3*x)^(7/2)),x]","\frac{1752 \sqrt{1-2 x} \sqrt{5 x+3}}{1715 \sqrt{3 x+2}}+\frac{18 \sqrt{1-2 x} \sqrt{5 x+3}}{245 (3 x+2)^{3/2}}-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{35 (3 x+2)^{5/2}}-\frac{68 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715}-\frac{584 \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715}","\frac{1752 \sqrt{1-2 x} \sqrt{5 x+3}}{1715 \sqrt{3 x+2}}+\frac{18 \sqrt{1-2 x} \sqrt{5 x+3}}{245 (3 x+2)^{3/2}}-\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{35 (3 x+2)^{5/2}}-\frac{68 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715}-\frac{584 \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715}",1,"(-2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(35*(2 + 3*x)^(5/2)) + (18*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(245*(2 + 3*x)^(3/2)) + (1752*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1715*Sqrt[2 + 3*x]) - (584*Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1715 - (68*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1715","A",6,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2822,1,191,0,0.0653248,"\int \frac{(2+3 x)^{5/2} (3+5 x)^{3/2}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^(5/2)*(3 + 5*x)^(3/2))/Sqrt[1 - 2*x],x]","-\frac{1}{9} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{5/2}-\frac{137}{315} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{3/2}-\frac{9547 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{5250}-\frac{663409 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{47250}-\frac{663409 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{236250}-\frac{44109377 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{472500}","-\frac{1}{9} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{5/2}-\frac{137}{315} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{3/2}-\frac{9547 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{5250}-\frac{663409 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{47250}-\frac{663409 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{236250}-\frac{44109377 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{472500}",1,"(-663409*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/47250 - (9547*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/5250 - (137*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/315 - (Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2))/9 - (44109377*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/472500 - (663409*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/236250","A",7,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2823,1,160,0,0.0505249,"\int \frac{(2+3 x)^{3/2} (3+5 x)^{3/2}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/Sqrt[1 - 2*x],x]","-\frac{1}{7} \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{3/2}-\frac{102}{175} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{4721 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{1050}-\frac{4721 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5250}-\frac{78472 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2625}","-\frac{1}{7} \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{3/2}-\frac{102}{175} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{4721 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{1050}-\frac{4721 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5250}-\frac{78472 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2625}",1,"(-4721*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/1050 - (102*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/175 - (Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/7 - (78472*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2625 - (4721*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5250","A",6,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2824,1,129,0,0.0381993,"\int \frac{\sqrt{2+3 x} (3+5 x)^{3/2}}{\sqrt{1-2 x}} \, dx","Int[(Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/Sqrt[1 - 2*x],x]","-\frac{1}{5} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{67}{45} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{67}{225} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{4451}{450} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{1}{5} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{67}{45} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{67}{225} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{4451}{450} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-67*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/45 - (Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/5 - (4451*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/450 - (67*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/225","A",5,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2825,1,98,0,0.0275176,"\int \frac{(3+5 x)^{3/2}}{\sqrt{1-2 x} \sqrt{2+3 x}} \, dx","Int[(3 + 5*x)^(3/2)/(Sqrt[1 - 2*x]*Sqrt[2 + 3*x]),x]","-\frac{5}{9} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{1}{9} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{31}{9} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{5}{9} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{1}{9} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{31}{9} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-5*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/9 - (31*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/9 - (Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/9","A",4,4,28,0.1429,1,"{102, 158, 113, 119}"
2826,1,98,0,0.0271023,"\int \frac{(3+5 x)^{3/2}}{\sqrt{1-2 x} (2+3 x)^{3/2}} \, dx","Int[(3 + 5*x)^(3/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)),x]","\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{21 \sqrt{3 x+2}}+\frac{2}{21} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{37}{21} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{21 \sqrt{3 x+2}}+\frac{2}{21} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{37}{21} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(21*Sqrt[2 + 3*x]) - (37*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/21 + (2*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/21","A",4,4,28,0.1429,1,"{98, 158, 113, 119}"
2827,1,129,0,0.0374393,"\int \frac{(3+5 x)^{3/2}}{\sqrt{1-2 x} (2+3 x)^{5/2}} \, dx","Int[(3 + 5*x)^(3/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)),x]","-\frac{272 \sqrt{1-2 x} \sqrt{5 x+3}}{441 \sqrt{3 x+2}}+\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{63 (3 x+2)^{3/2}}-\frac{202}{441} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{272}{441} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{272 \sqrt{1-2 x} \sqrt{5 x+3}}{441 \sqrt{3 x+2}}+\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{63 (3 x+2)^{3/2}}-\frac{202}{441} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{272}{441} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(63*(2 + 3*x)^(3/2)) - (272*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(441*Sqrt[2 + 3*x]) + (272*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/441 - (202*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/441","A",5,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2828,1,160,0,0.0504849,"\int \frac{(3+5 x)^{3/2}}{\sqrt{1-2 x} (2+3 x)^{7/2}} \, dx","Int[(3 + 5*x)^(3/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^(7/2)),x]","\frac{5594 \sqrt{1-2 x} \sqrt{5 x+3}}{15435 \sqrt{3 x+2}}-\frac{404 \sqrt{1-2 x} \sqrt{5 x+3}}{2205 (3 x+2)^{3/2}}+\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{105 (3 x+2)^{5/2}}-\frac{1196 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15435}-\frac{5594 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15435}","\frac{5594 \sqrt{1-2 x} \sqrt{5 x+3}}{15435 \sqrt{3 x+2}}-\frac{404 \sqrt{1-2 x} \sqrt{5 x+3}}{2205 (3 x+2)^{3/2}}+\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{105 (3 x+2)^{5/2}}-\frac{1196 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15435}-\frac{5594 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15435}",1,"(2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(105*(2 + 3*x)^(5/2)) - (404*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2205*(2 + 3*x)^(3/2)) + (5594*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(15435*Sqrt[2 + 3*x]) - (5594*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/15435 - (1196*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/15435","A",6,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2829,1,191,0,0.0648077,"\int \frac{(3+5 x)^{3/2}}{\sqrt{1-2 x} (2+3 x)^{9/2}} \, dx","Int[(3 + 5*x)^(3/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^(9/2)),x]","\frac{184636 \sqrt{1-2 x} \sqrt{5 x+3}}{252105 \sqrt{3 x+2}}+\frac{974 \sqrt{1-2 x} \sqrt{5 x+3}}{36015 (3 x+2)^{3/2}}-\frac{536 \sqrt{1-2 x} \sqrt{5 x+3}}{5145 (3 x+2)^{5/2}}+\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{147 (3 x+2)^{7/2}}-\frac{9124 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{252105}-\frac{184636 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{252105}","\frac{184636 \sqrt{1-2 x} \sqrt{5 x+3}}{252105 \sqrt{3 x+2}}+\frac{974 \sqrt{1-2 x} \sqrt{5 x+3}}{36015 (3 x+2)^{3/2}}-\frac{536 \sqrt{1-2 x} \sqrt{5 x+3}}{5145 (3 x+2)^{5/2}}+\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{147 (3 x+2)^{7/2}}-\frac{9124 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{252105}-\frac{184636 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{252105}",1,"(2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(147*(2 + 3*x)^(7/2)) - (536*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(5145*(2 + 3*x)^(5/2)) + (974*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(36015*(2 + 3*x)^(3/2)) + (184636*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(252105*Sqrt[2 + 3*x]) - (184636*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/252105 - (9124*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/252105","A",7,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2830,1,249,0,0.1004383,"\int \frac{(2+3 x)^{7/2} (3+5 x)^{5/2}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^(7/2)*(3 + 5*x)^(5/2))/Sqrt[1 - 2*x],x]","-\frac{1}{13} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^{7/2}-\frac{41}{143} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^{5/2}-\frac{14303 \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^{3/2}}{12870}-\frac{221673 \sqrt{1-2 x} (5 x+3)^{5/2} \sqrt{3 x+2}}{50050}-\frac{138809831 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{4504500}-\frac{2295970088 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{10135125}-\frac{2295970088 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{4606875 \sqrt{33}}-\frac{610627101631 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{36855000 \sqrt{33}}","-\frac{1}{13} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^{7/2}-\frac{41}{143} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^{5/2}-\frac{14303 \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^{3/2}}{12870}-\frac{221673 \sqrt{1-2 x} (5 x+3)^{5/2} \sqrt{3 x+2}}{50050}-\frac{138809831 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{4504500}-\frac{2295970088 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{10135125}-\frac{2295970088 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{4606875 \sqrt{33}}-\frac{610627101631 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{36855000 \sqrt{33}}",1,"(-2295970088*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/10135125 - (138809831*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/4504500 - (221673*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/50050 - (14303*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/12870 - (41*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/143 - (Sqrt[1 - 2*x]*(2 + 3*x)^(7/2)*(3 + 5*x)^(5/2))/13 - (610627101631*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(36855000*Sqrt[33]) - (2295970088*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(4606875*Sqrt[33])","A",9,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2831,1,218,0,0.0807899,"\int \frac{(2+3 x)^{5/2} (3+5 x)^{5/2}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/Sqrt[1 - 2*x],x]","-\frac{1}{11} \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{5/2}-\frac{34}{99} \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}-\frac{1053}{770} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{329683 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{34650}-\frac{43624697 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{623700}-\frac{43624697 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{283500 \sqrt{33}}-\frac{725140729 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{141750 \sqrt{33}}","-\frac{1}{11} \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{5/2}-\frac{34}{99} \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}-\frac{1053}{770} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{329683 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}{34650}-\frac{43624697 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{623700}-\frac{43624697 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{283500 \sqrt{33}}-\frac{725140729 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{141750 \sqrt{33}}",1,"(-43624697*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/623700 - (329683*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/34650 - (1053*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/770 - (34*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/99 - (Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/11 - (725140729*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(141750*Sqrt[33]) - (43624697*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(283500*Sqrt[33])","A",8,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2832,1,191,0,0.0669651,"\int \frac{(2+3 x)^{3/2} (3+5 x)^{5/2}}{\sqrt{1-2 x}} \, dx","Int[((2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/Sqrt[1 - 2*x],x]","-\frac{1}{9} \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}-\frac{3}{7} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{1877}{630} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{62092 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{2835}-\frac{62092 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{14175}-\frac{8256877 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{56700}","-\frac{1}{9} \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}-\frac{3}{7} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{1877}{630} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{62092 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{2835}-\frac{62092 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{14175}-\frac{8256877 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{56700}",1,"(-62092*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/2835 - (1877*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/630 - (3*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/7 - (Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/9 - (8256877*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/56700 - (62092*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/14175","A",7,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2833,1,160,0,0.0527823,"\int \frac{\sqrt{2+3 x} (3+5 x)^{5/2}}{\sqrt{1-2 x}} \, dx","Int[(Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/Sqrt[1 - 2*x],x]","-\frac{1}{7} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{20}{21} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{2645}{378} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{529}{378} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{17587}{378} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{1}{7} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{20}{21} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{2645}{378} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{529}{378} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{17587}{378} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2645*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/378 - (20*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/21 - (Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/7 - (17587*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/378 - (529*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/378","A",6,5,28,0.1786,1,"{101, 154, 158, 113, 119}"
2834,1,129,0,0.0397239,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x} \sqrt{2+3 x}} \, dx","Int[(3 + 5*x)^(5/2)/(Sqrt[1 - 2*x]*Sqrt[2 + 3*x]),x]","-\frac{1}{3} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{62}{27} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{62}{135} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{4141}{270} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{1}{3} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{62}{27} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{62}{135} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{4141}{270} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-62*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/27 - (Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/3 - (4141*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/270 - (62*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/135","A",5,5,28,0.1786,1,"{102, 154, 158, 113, 119}"
2835,1,129,0,0.039373,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x} (2+3 x)^{3/2}} \, dx","Int[(3 + 5*x)^(5/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)),x]","\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{21 \sqrt{3 x+2}}-\frac{205}{189} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{41}{189} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{974}{189} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{21 \sqrt{3 x+2}}-\frac{205}{189} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{41}{189} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{974}{189} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-205*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/189 + (2*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(21*Sqrt[2 + 3*x]) - (974*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/189 - (41*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/189","A",5,5,28,0.1786,1,"{98, 154, 158, 113, 119}"
2836,1,129,0,0.037252,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x} (2+3 x)^{5/2}} \, dx","Int[(3 + 5*x)^(5/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)),x]","\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{63 (3 x+2)^{3/2}}+\frac{412 \sqrt{1-2 x} \sqrt{5 x+3}}{1323 \sqrt{3 x+2}}+\frac{412 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1323}-\frac{4157 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1323}","\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{63 (3 x+2)^{3/2}}+\frac{412 \sqrt{1-2 x} \sqrt{5 x+3}}{1323 \sqrt{3 x+2}}+\frac{412 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1323}-\frac{4157 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1323}",1,"(412*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1323*Sqrt[2 + 3*x]) + (2*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(63*(2 + 3*x)^(3/2)) - (4157*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1323 + (412*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1323","A",5,5,28,0.1786,1,"{98, 150, 158, 113, 119}"
2837,1,160,0,0.0530126,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x} (2+3 x)^{7/2}} \, dx","Int[(3 + 5*x)^(5/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^(7/2)),x]","\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{105 (3 x+2)^{5/2}}-\frac{53194 \sqrt{1-2 x} \sqrt{5 x+3}}{46305 \sqrt{3 x+2}}+\frac{544 \sqrt{1-2 x} \sqrt{5 x+3}}{6615 (3 x+2)^{3/2}}-\frac{34154 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{46305}+\frac{53194 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{46305}","\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{105 (3 x+2)^{5/2}}-\frac{53194 \sqrt{1-2 x} \sqrt{5 x+3}}{46305 \sqrt{3 x+2}}+\frac{544 \sqrt{1-2 x} \sqrt{5 x+3}}{6615 (3 x+2)^{3/2}}-\frac{34154 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{46305}+\frac{53194 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{46305}",1,"(544*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(6615*(2 + 3*x)^(3/2)) - (53194*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(46305*Sqrt[2 + 3*x]) + (2*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(105*(2 + 3*x)^(5/2)) + (53194*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/46305 - (34154*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/46305","A",6,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2838,1,191,0,0.0672227,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x} (2+3 x)^{9/2}} \, dx","Int[(3 + 5*x)^(5/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^(9/2)),x]","\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{147 (3 x+2)^{7/2}}+\frac{816622 \sqrt{1-2 x} \sqrt{5 x+3}}{2268945 \sqrt{3 x+2}}-\frac{101902 \sqrt{1-2 x} \sqrt{5 x+3}}{324135 (3 x+2)^{3/2}}+\frac{676 \sqrt{1-2 x} \sqrt{5 x+3}}{15435 (3 x+2)^{5/2}}-\frac{265648 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2268945}-\frac{816622 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2268945}","\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{147 (3 x+2)^{7/2}}+\frac{816622 \sqrt{1-2 x} \sqrt{5 x+3}}{2268945 \sqrt{3 x+2}}-\frac{101902 \sqrt{1-2 x} \sqrt{5 x+3}}{324135 (3 x+2)^{3/2}}+\frac{676 \sqrt{1-2 x} \sqrt{5 x+3}}{15435 (3 x+2)^{5/2}}-\frac{265648 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2268945}-\frac{816622 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2268945}",1,"(676*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(15435*(2 + 3*x)^(5/2)) - (101902*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(324135*(2 + 3*x)^(3/2)) + (816622*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2268945*Sqrt[2 + 3*x]) + (2*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(147*(2 + 3*x)^(7/2)) - (816622*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2268945 - (265648*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2268945","A",7,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2839,1,222,0,0.0795626,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x} (2+3 x)^{11/2}} \, dx","Int[(3 + 5*x)^(5/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^(11/2)),x]","\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{189 (3 x+2)^{9/2}}+\frac{32098184 \sqrt{1-2 x} \sqrt{5 x+3}}{47647845 \sqrt{3 x+2}}-\frac{43094 \sqrt{1-2 x} \sqrt{5 x+3}}{6806835 (3 x+2)^{3/2}}-\frac{168034 \sqrt{1-2 x} \sqrt{5 x+3}}{972405 (3 x+2)^{5/2}}+\frac{808 \sqrt{1-2 x} \sqrt{5 x+3}}{27783 (3 x+2)^{7/2}}-\frac{2036756 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{47647845}-\frac{32098184 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{47647845}","\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{189 (3 x+2)^{9/2}}+\frac{32098184 \sqrt{1-2 x} \sqrt{5 x+3}}{47647845 \sqrt{3 x+2}}-\frac{43094 \sqrt{1-2 x} \sqrt{5 x+3}}{6806835 (3 x+2)^{3/2}}-\frac{168034 \sqrt{1-2 x} \sqrt{5 x+3}}{972405 (3 x+2)^{5/2}}+\frac{808 \sqrt{1-2 x} \sqrt{5 x+3}}{27783 (3 x+2)^{7/2}}-\frac{2036756 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{47647845}-\frac{32098184 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{47647845}",1,"(808*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(27783*(2 + 3*x)^(7/2)) - (168034*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(972405*(2 + 3*x)^(5/2)) - (43094*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(6806835*(2 + 3*x)^(3/2)) + (32098184*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(47647845*Sqrt[2 + 3*x]) + (2*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(189*(2 + 3*x)^(9/2)) - (32098184*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/47647845 - (2036756*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/47647845","A",8,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2840,1,249,0,0.0958818,"\int \frac{(3+5 x)^{5/2}}{\sqrt{1-2 x} (2+3 x)^{13/2}} \, dx","Int[(3 + 5*x)^(5/2)/(Sqrt[1 - 2*x]*(2 + 3*x)^(13/2)),x]","\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{231 (3 x+2)^{11/2}}+\frac{924247516 \sqrt{1-2 x} \sqrt{5 x+3}}{733776813 \sqrt{3 x+2}}+\frac{11460644 \sqrt{1-2 x} \sqrt{5 x+3}}{104825259 (3 x+2)^{3/2}}-\frac{362666 \sqrt{1-2 x} \sqrt{5 x+3}}{14975037 (3 x+2)^{5/2}}-\frac{251590 \sqrt{1-2 x} \sqrt{5 x+3}}{2139291 (3 x+2)^{7/2}}+\frac{940 \sqrt{1-2 x} \sqrt{5 x+3}}{43659 (3 x+2)^{9/2}}-\frac{31704544 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{66706983 \sqrt{33}}-\frac{924247516 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{66706983 \sqrt{33}}","\frac{2 \sqrt{1-2 x} (5 x+3)^{3/2}}{231 (3 x+2)^{11/2}}+\frac{924247516 \sqrt{1-2 x} \sqrt{5 x+3}}{733776813 \sqrt{3 x+2}}+\frac{11460644 \sqrt{1-2 x} \sqrt{5 x+3}}{104825259 (3 x+2)^{3/2}}-\frac{362666 \sqrt{1-2 x} \sqrt{5 x+3}}{14975037 (3 x+2)^{5/2}}-\frac{251590 \sqrt{1-2 x} \sqrt{5 x+3}}{2139291 (3 x+2)^{7/2}}+\frac{940 \sqrt{1-2 x} \sqrt{5 x+3}}{43659 (3 x+2)^{9/2}}-\frac{31704544 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{66706983 \sqrt{33}}-\frac{924247516 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{66706983 \sqrt{33}}",1,"(940*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(43659*(2 + 3*x)^(9/2)) - (251590*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2139291*(2 + 3*x)^(7/2)) - (362666*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(14975037*(2 + 3*x)^(5/2)) + (11460644*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(104825259*(2 + 3*x)^(3/2)) + (924247516*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(733776813*Sqrt[2 + 3*x]) + (2*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2))/(231*(2 + 3*x)^(11/2)) - (924247516*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(66706983*Sqrt[33]) - (31704544*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(66706983*Sqrt[33])","A",9,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2841,1,12,0,0.0035878,"\int \frac{1}{\sqrt{1+x} \sqrt{2+x} \sqrt{3+x}} \, dx","Int[1/(Sqrt[1 + x]*Sqrt[2 + x]*Sqrt[3 + x]),x]","-2 F\left(\left.\sin ^{-1}\left(\frac{1}{\sqrt{x+3}}\right)\right|2\right)","-2 F\left(\left.\sin ^{-1}\left(\frac{1}{\sqrt{x+3}}\right)\right|2\right)",1,"-2*EllipticF[ArcSin[1/Sqrt[3 + x]], 2]","A",1,1,22,0.04545,1,"{118}"
2842,1,16,0,0.004844,"\int \frac{1}{\sqrt{3-x} \sqrt{1+x} \sqrt{2+x}} \, dx","Int[1/(Sqrt[3 - x]*Sqrt[1 + x]*Sqrt[2 + x]),x]","2 F\left(\left.\sin ^{-1}\left(\frac{\sqrt{x+1}}{2}\right)\right|-4\right)","2 F\left(\left.\sin ^{-1}\left(\frac{\sqrt{x+1}}{2}\right)\right|-4\right)",1,"2*EllipticF[ArcSin[Sqrt[1 + x]/2], -4]","A",1,1,24,0.04167,1,"{119}"
2843,1,24,0,0.0058621,"\int \frac{1}{\sqrt{2-x} \sqrt{1+x} \sqrt{3+x}} \, dx","Int[1/(Sqrt[2 - x]*Sqrt[1 + x]*Sqrt[3 + x]),x]","\sqrt{2} F\left(\sin ^{-1}\left(\frac{\sqrt{x+1}}{\sqrt{3}}\right)|-\frac{3}{2}\right)","\sqrt{2} F\left(\sin ^{-1}\left(\frac{\sqrt{x+1}}{\sqrt{3}}\right)|-\frac{3}{2}\right)",1,"Sqrt[2]*EllipticF[ArcSin[Sqrt[1 + x]/Sqrt[3]], -3/2]","A",1,1,24,0.04167,1,"{119}"
2844,1,18,0,0.0058277,"\int \frac{1}{\sqrt{2-x} \sqrt{3-x} \sqrt{1+x}} \, dx","Int[1/(Sqrt[2 - x]*Sqrt[3 - x]*Sqrt[1 + x]),x]","F\left(\sin ^{-1}\left(\frac{\sqrt{x+1}}{\sqrt{3}}\right)|\frac{3}{4}\right)","F\left(\sin ^{-1}\left(\frac{\sqrt{x+1}}{\sqrt{3}}\right)|\frac{3}{4}\right)",1,"EllipticF[ArcSin[Sqrt[1 + x]/Sqrt[3]], 3/4]","A",1,1,26,0.03846,1,"{119}"
2845,1,18,0,0.0047029,"\int \frac{1}{\sqrt{1-x} \sqrt{2+x} \sqrt{3+x}} \, dx","Int[1/(Sqrt[1 - x]*Sqrt[2 + x]*Sqrt[3 + x]),x]","2 F\left(\left.\sin ^{-1}\left(\frac{\sqrt{x+2}}{\sqrt{3}}\right)\right|-3\right)","2 F\left(\left.\sin ^{-1}\left(\frac{\sqrt{x+2}}{\sqrt{3}}\right)\right|-3\right)",1,"2*EllipticF[ArcSin[Sqrt[2 + x]/Sqrt[3]], -3]","A",1,1,24,0.04167,1,"{119}"
2846,1,25,0,0.0059751,"\int \frac{1}{\sqrt{1-x} \sqrt{3-x} \sqrt{2+x}} \, dx","Int[1/(Sqrt[1 - x]*Sqrt[3 - x]*Sqrt[2 + x]),x]","\frac{2 F\left(\sin ^{-1}\left(\frac{\sqrt{x+2}}{\sqrt{3}}\right)|\frac{3}{5}\right)}{\sqrt{5}}","\frac{2 F\left(\sin ^{-1}\left(\frac{\sqrt{x+2}}{\sqrt{3}}\right)|\frac{3}{5}\right)}{\sqrt{5}}",1,"(2*EllipticF[ArcSin[Sqrt[2 + x]/Sqrt[3]], 3/5])/Sqrt[5]","A",1,1,26,0.03846,1,"{119}"
2847,1,23,0,0.0054182,"\int \frac{1}{\sqrt{1-x} \sqrt{2-x} \sqrt{3+x}} \, dx","Int[1/(Sqrt[1 - x]*Sqrt[2 - x]*Sqrt[3 + x]),x]","\frac{2 F\left(\sin ^{-1}\left(\frac{\sqrt{x+3}}{2}\right)|\frac{4}{5}\right)}{\sqrt{5}}","\frac{2 F\left(\sin ^{-1}\left(\frac{\sqrt{x+3}}{2}\right)|\frac{4}{5}\right)}{\sqrt{5}}",1,"(2*EllipticF[ArcSin[Sqrt[3 + x]/2], 4/5])/Sqrt[5]","A",1,1,26,0.03846,1,"{119}"
2848,1,14,0,0.005414,"\int \frac{1}{\sqrt{1-x} \sqrt{2-x} \sqrt{3-x}} \, dx","Int[1/(Sqrt[1 - x]*Sqrt[2 - x]*Sqrt[3 - x]),x]","2 F\left(\left.\sin ^{-1}\left(\frac{1}{\sqrt{3-x}}\right)\right|2\right)","2 F\left(\left.\sin ^{-1}\left(\frac{1}{\sqrt{3-x}}\right)\right|2\right)",1,"2*EllipticF[ArcSin[1/Sqrt[3 - x]], 2]","A",1,1,28,0.03571,1,"{118}"
2849,1,12,0,0.0035397,"\int \frac{1}{\sqrt{-3+x} \sqrt{-2+x} \sqrt{-1+x}} \, dx","Int[1/(Sqrt[-3 + x]*Sqrt[-2 + x]*Sqrt[-1 + x]),x]","-2 F\left(\left.\sin ^{-1}\left(\frac{1}{\sqrt{x-1}}\right)\right|2\right)","-2 F\left(\left.\sin ^{-1}\left(\frac{1}{\sqrt{x-1}}\right)\right|2\right)",1,"-2*EllipticF[ArcSin[1/Sqrt[-1 + x]], 2]","A",1,1,22,0.04545,1,"{118}"
2850,1,36,0,0.0099321,"\int \frac{1}{\sqrt{-3-x} \sqrt{-2+x} \sqrt{-1+x}} \, dx","Int[1/(Sqrt[-3 - x]*Sqrt[-2 + x]*Sqrt[-1 + x]),x]","-\frac{\sqrt{x+3} F\left(\sin ^{-1}\left(\frac{1}{\sqrt{\frac{x}{4}+\frac{3}{4}}}\right)|\frac{5}{4}\right)}{\sqrt{-x-3}}","-\frac{\sqrt{x+3} F\left(\sin ^{-1}\left(\frac{2}{\sqrt{x+3}}\right)|\frac{5}{4}\right)}{\sqrt{-x-3}}-\frac{i K\left(-\frac{1}{4}\right) \sqrt{x+3}}{\sqrt{-x-3}}",1,"-((Sqrt[3 + x]*EllipticF[ArcSin[1/Sqrt[3/4 + x/4]], 5/4])/Sqrt[-3 - x])","A",2,2,24,0.08333,0,"{121, 118}"
2851,1,41,0,0.0107378,"\int \frac{1}{\sqrt{-2-x} \sqrt{-3+x} \sqrt{-1+x}} \, dx","Int[1/(Sqrt[-2 - x]*Sqrt[-3 + x]*Sqrt[-1 + x]),x]","-\frac{2 \sqrt{x+2} F\left(\sin ^{-1}\left(\frac{1}{\sqrt{\frac{x}{3}+\frac{2}{3}}}\right)|\frac{5}{3}\right)}{\sqrt{3} \sqrt{-x-2}}","-\frac{2 \sqrt{x+2} F\left(\sin ^{-1}\left(\frac{1}{\sqrt{\frac{x}{3}+\frac{2}{3}}}\right)|\frac{5}{3}\right)}{\sqrt{3} \sqrt{-x-2}}",1,"(-2*Sqrt[2 + x]*EllipticF[ArcSin[1/Sqrt[2/3 + x/3]], 5/3])/(Sqrt[3]*Sqrt[-2 - x])","A",2,2,24,0.08333,1,"{121, 118}"
2852,1,52,0,0.0180816,"\int \frac{1}{\sqrt{-3-x} \sqrt{-2-x} \sqrt{-1+x}} \, dx","Int[1/(Sqrt[-3 - x]*Sqrt[-2 - x]*Sqrt[-1 + x]),x]","-\frac{\sqrt{x+2} \sqrt{x+3} F\left(\sin ^{-1}\left(\frac{1}{\sqrt{\frac{x}{4}+\frac{3}{4}}}\right)|\frac{1}{4}\right)}{\sqrt{-x-3} \sqrt{-x-2}}","-\frac{2 i K(4) \sqrt{x+2}}{\sqrt{-x-2}}+\frac{K\left(\frac{3}{4}\right) \sqrt{x+3}}{\sqrt{-x-3}}-\frac{\sqrt{x+2} \sqrt{x+3} F\left(\sin ^{-1}\left(\frac{2}{\sqrt{x+3}}\right)|\frac{1}{4}\right)}{\sqrt{-x-3} \sqrt{-x-2}}",1,"-((Sqrt[2 + x]*Sqrt[3 + x]*EllipticF[ArcSin[1/Sqrt[3/4 + x/4]], 1/4])/(Sqrt[-3 - x]*Sqrt[-2 - x]))","A",3,2,26,0.07692,0,"{121, 118}"
2853,1,41,0,0.0107321,"\int \frac{1}{\sqrt{-1-x} \sqrt{-3+x} \sqrt{-2+x}} \, dx","Int[1/(Sqrt[-1 - x]*Sqrt[-3 + x]*Sqrt[-2 + x]),x]","-\frac{2 \sqrt{x+1} F\left(\sin ^{-1}\left(\frac{1}{\sqrt{\frac{x}{3}+\frac{1}{3}}}\right)|\frac{4}{3}\right)}{\sqrt{3} \sqrt{-x-1}}","-\frac{2 \sqrt{x+1} F\left(\sin ^{-1}\left(\frac{1}{\sqrt{\frac{x}{3}+\frac{1}{3}}}\right)|\frac{4}{3}\right)}{\sqrt{3} \sqrt{-x-1}}",1,"(-2*Sqrt[1 + x]*EllipticF[ArcSin[1/Sqrt[1/3 + x/3]], 4/3])/(Sqrt[3]*Sqrt[-1 - x])","A",2,2,24,0.08333,1,"{121, 118}"
2854,1,57,0,0.0190624,"\int \frac{1}{\sqrt{-3-x} \sqrt{-1-x} \sqrt{-2+x}} \, dx","Int[1/(Sqrt[-3 - x]*Sqrt[-1 - x]*Sqrt[-2 + x]),x]","-\frac{2 \sqrt{x+1} \sqrt{x+3} F\left(\sin ^{-1}\left(\frac{1}{\sqrt{\frac{x}{5}+\frac{3}{5}}}\right)|\frac{2}{5}\right)}{\sqrt{5} \sqrt{-x-3} \sqrt{-x-1}}","-\frac{2 \sqrt{x+1} \sqrt{x+3} F\left(\sin ^{-1}\left(\frac{1}{\sqrt{\frac{x}{5}+\frac{3}{5}}}\right)|\frac{2}{5}\right)}{\sqrt{5} \sqrt{-x-3} \sqrt{-x-1}}",1,"(-2*Sqrt[1 + x]*Sqrt[3 + x]*EllipticF[ArcSin[1/Sqrt[3/5 + x/5]], 2/5])/(Sqrt[5]*Sqrt[-3 - x]*Sqrt[-1 - x])","A",3,2,26,0.07692,1,"{121, 118}"
2855,1,57,0,0.0189782,"\int \frac{1}{\sqrt{-2-x} \sqrt{-1-x} \sqrt{-3+x}} \, dx","Int[1/(Sqrt[-2 - x]*Sqrt[-1 - x]*Sqrt[-3 + x]),x]","-\frac{2 \sqrt{x+1} \sqrt{x+2} F\left(\sin ^{-1}\left(\frac{1}{\sqrt{\frac{x}{5}+\frac{2}{5}}}\right)|\frac{1}{5}\right)}{\sqrt{5} \sqrt{-x-2} \sqrt{-x-1}}","-\frac{2 \sqrt{x+1} \sqrt{x+2} F\left(\sin ^{-1}\left(\frac{1}{\sqrt{\frac{x}{5}+\frac{2}{5}}}\right)|\frac{1}{5}\right)}{\sqrt{5} \sqrt{-x-2} \sqrt{-x-1}}",1,"(-2*Sqrt[1 + x]*Sqrt[2 + x]*EllipticF[ArcSin[1/Sqrt[2/5 + x/5]], 1/5])/(Sqrt[5]*Sqrt[-2 - x]*Sqrt[-1 - x])","A",3,2,26,0.07692,1,"{121, 118}"
2856,1,14,0,0.0061095,"\int \frac{1}{\sqrt{-3-x} \sqrt{-2-x} \sqrt{-1-x}} \, dx","Int[1/(Sqrt[-3 - x]*Sqrt[-2 - x]*Sqrt[-1 - x]),x]","2 F\left(\left.\sin ^{-1}\left(\frac{1}{\sqrt{-x-1}}\right)\right|2\right)","2 F\left(\left.\sin ^{-1}\left(\frac{1}{\sqrt{-x-1}}\right)\right|2\right)",1,"2*EllipticF[ArcSin[1/Sqrt[-1 - x]], 2]","A",1,1,28,0.03571,1,"{118}"
2857,1,204,0,0.1360254,"\int \frac{1}{(a+b x)^{3/2} \sqrt{c+d x} \sqrt{e+f x}} \, dx","Int[1/((a + b*x)^(3/2)*Sqrt[c + d*x]*Sqrt[e + f*x]),x]","\frac{2 \sqrt{f} \sqrt{a+b x} \sqrt{c f-d e} \sqrt{\frac{d (e+f x)}{d e-c f}} E\left(\sin ^{-1}\left(\frac{\sqrt{f} \sqrt{c+d x}}{\sqrt{c f-d e}}\right)|-\frac{b (d e-c f)}{(b c-a d) f}\right)}{\sqrt{e+f x} (b c-a d) (b e-a f) \sqrt{-\frac{d (a+b x)}{b c-a d}}}-\frac{2 b \sqrt{c+d x} \sqrt{e+f x}}{\sqrt{a+b x} (b c-a d) (b e-a f)}","\frac{2 \sqrt{f} \sqrt{a+b x} \sqrt{c f-d e} \sqrt{\frac{d (e+f x)}{d e-c f}} E\left(\sin ^{-1}\left(\frac{\sqrt{f} \sqrt{c+d x}}{\sqrt{c f-d e}}\right)|-\frac{b (d e-c f)}{(b c-a d) f}\right)}{\sqrt{e+f x} (b c-a d) (b e-a f) \sqrt{-\frac{d (a+b x)}{b c-a d}}}-\frac{2 b \sqrt{c+d x} \sqrt{e+f x}}{\sqrt{a+b x} (b c-a d) (b e-a f)}",1,"(-2*b*Sqrt[c + d*x]*Sqrt[e + f*x])/((b*c - a*d)*(b*e - a*f)*Sqrt[a + b*x]) + (2*Sqrt[f]*Sqrt[-(d*e) + c*f]*Sqrt[a + b*x]*Sqrt[(d*(e + f*x))/(d*e - c*f)]*EllipticE[ArcSin[(Sqrt[f]*Sqrt[c + d*x])/Sqrt[-(d*e) + c*f]], -((b*(d*e - c*f))/((b*c - a*d)*f))])/((b*c - a*d)*(b*e - a*f)*Sqrt[-((d*(a + b*x))/(b*c - a*d))]*Sqrt[e + f*x])","A",4,4,28,0.1429,1,"{104, 21, 114, 113}"
2858,1,437,0,0.4960292,"\int \frac{1}{(a+b x)^{5/2} \sqrt{c+d x} \sqrt{e+f x}} \, dx","Int[1/((a + b*x)^(5/2)*Sqrt[c + d*x]*Sqrt[e + f*x]),x]","\frac{4 b \sqrt{c+d x} \sqrt{e+f x} (-2 a d f+b c f+b d e)}{3 \sqrt{a+b x} (b c-a d)^2 (b e-a f)^2}-\frac{2 b \sqrt{c+d x} \sqrt{e+f x}}{3 (a+b x)^{3/2} (b c-a d) (b e-a f)}+\frac{2 \sqrt{d} \sqrt{\frac{b (c+d x)}{b c-a d}} \sqrt{\frac{b (e+f x)}{b e-a f}} (-3 a d f+b c f+2 b d e) F\left(\sin ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{a d-b c}}\right)|\frac{(b c-a d) f}{d (b e-a f)}\right)}{3 b \sqrt{c+d x} \sqrt{e+f x} (a d-b c)^{3/2} (b e-a f)}-\frac{4 \sqrt{d} \sqrt{e+f x} \sqrt{\frac{b (c+d x)}{b c-a d}} (-2 a d f+b c f+b d e) E\left(\sin ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{a d-b c}}\right)|\frac{(b c-a d) f}{d (b e-a f)}\right)}{3 \sqrt{c+d x} (a d-b c)^{3/2} (b e-a f)^2 \sqrt{\frac{b (e+f x)}{b e-a f}}}","\frac{4 b \sqrt{c+d x} \sqrt{e+f x} (-2 a d f+b c f+b d e)}{3 \sqrt{a+b x} (b c-a d)^2 (b e-a f)^2}-\frac{2 b \sqrt{c+d x} \sqrt{e+f x}}{3 (a+b x)^{3/2} (b c-a d) (b e-a f)}+\frac{2 \sqrt{d} \sqrt{\frac{b (c+d x)}{b c-a d}} \sqrt{\frac{b (e+f x)}{b e-a f}} (-3 a d f+b c f+2 b d e) F\left(\sin ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{a d-b c}}\right)|\frac{(b c-a d) f}{d (b e-a f)}\right)}{3 b \sqrt{c+d x} \sqrt{e+f x} (a d-b c)^{3/2} (b e-a f)}-\frac{4 \sqrt{d} \sqrt{e+f x} \sqrt{\frac{b (c+d x)}{b c-a d}} (-2 a d f+b c f+b d e) E\left(\sin ^{-1}\left(\frac{\sqrt{d} \sqrt{a+b x}}{\sqrt{a d-b c}}\right)|\frac{(b c-a d) f}{d (b e-a f)}\right)}{3 \sqrt{c+d x} (a d-b c)^{3/2} (b e-a f)^2 \sqrt{\frac{b (e+f x)}{b e-a f}}}",1,"(-2*b*Sqrt[c + d*x]*Sqrt[e + f*x])/(3*(b*c - a*d)*(b*e - a*f)*(a + b*x)^(3/2)) + (4*b*(b*d*e + b*c*f - 2*a*d*f)*Sqrt[c + d*x]*Sqrt[e + f*x])/(3*(b*c - a*d)^2*(b*e - a*f)^2*Sqrt[a + b*x]) - (4*Sqrt[d]*(b*d*e + b*c*f - 2*a*d*f)*Sqrt[(b*(c + d*x))/(b*c - a*d)]*Sqrt[e + f*x]*EllipticE[ArcSin[(Sqrt[d]*Sqrt[a + b*x])/Sqrt[-(b*c) + a*d]], ((b*c - a*d)*f)/(d*(b*e - a*f))])/(3*(-(b*c) + a*d)^(3/2)*(b*e - a*f)^2*Sqrt[c + d*x]*Sqrt[(b*(e + f*x))/(b*e - a*f)]) + (2*Sqrt[d]*(2*b*d*e + b*c*f - 3*a*d*f)*Sqrt[(b*(c + d*x))/(b*c - a*d)]*Sqrt[(b*(e + f*x))/(b*e - a*f)]*EllipticF[ArcSin[(Sqrt[d]*Sqrt[a + b*x])/Sqrt[-(b*c) + a*d]], ((b*c - a*d)*f)/(d*(b*e - a*f))])/(3*b*(-(b*c) + a*d)^(3/2)*(b*e - a*f)*Sqrt[c + d*x]*Sqrt[e + f*x])","A",8,7,28,0.2500,1,"{104, 152, 158, 114, 113, 121, 120}"
2859,1,158,0,0.056494,"\int \frac{(2+3 x)^{7/2}}{\sqrt{1-2 x} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^(7/2)/(Sqrt[1 - 2*x]*Sqrt[3 + 5*x]),x]","-\frac{3}{35} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}-\frac{333}{875} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{15553 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{8750}-\frac{178879 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{43750 \sqrt{33}}-\frac{270248 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{21875}","-\frac{3}{35} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}-\frac{333}{875} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{15553 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{8750}-\frac{178879 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{43750 \sqrt{33}}-\frac{270248 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{21875}",1,"(-15553*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/8750 - (333*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/875 - (3*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/35 - (270248*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/21875 - (178879*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(43750*Sqrt[33])","A",6,5,28,0.1786,1,"{102, 154, 158, 113, 119}"
2860,1,127,0,0.0438019,"\int \frac{(2+3 x)^{5/2}}{\sqrt{1-2 x} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^(5/2)/(Sqrt[1 - 2*x]*Sqrt[3 + 5*x]),x]","-\frac{3}{25} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{74}{125} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{857 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{625 \sqrt{33}}-\frac{5161 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1250}","-\frac{3}{25} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{74}{125} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{857 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{625 \sqrt{33}}-\frac{5161 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1250}",1,"(-74*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/125 - (3*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/25 - (5161*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1250 - (857*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(625*Sqrt[33])","A",5,5,28,0.1786,1,"{102, 154, 158, 113, 119}"
2861,1,96,0,0.031245,"\int \frac{(2+3 x)^{3/2}}{\sqrt{1-2 x} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^(3/2)/(Sqrt[1 - 2*x]*Sqrt[3 + 5*x]),x]","-\frac{1}{5} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{13 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{25 \sqrt{33}}-\frac{37}{25} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{1}{5} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{13 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{25 \sqrt{33}}-\frac{37}{25} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"-(Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/5 - (37*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/25 - (13*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(25*Sqrt[33])","A",4,4,28,0.1429,1,"{102, 158, 113, 119}"
2862,1,31,0,0.0072197,"\int \frac{\sqrt{2+3 x}}{\sqrt{1-2 x} \sqrt{3+5 x}} \, dx","Int[Sqrt[2 + 3*x]/(Sqrt[1 - 2*x]*Sqrt[3 + 5*x]),x]","-\sqrt{\frac{7}{5}} E\left(\sin ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)|\frac{33}{35}\right)","-\sqrt{\frac{7}{5}} E\left(\sin ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)|\frac{33}{35}\right)",1,"-(Sqrt[7/5]*EllipticE[ArcSin[Sqrt[5/11]*Sqrt[1 - 2*x]], 33/35])","A",1,1,28,0.03571,1,"{113}"
2863,1,29,0,0.0065586,"\int \frac{1}{\sqrt{1-2 x} \sqrt{2+3 x} \sqrt{3+5 x}} \, dx","Int[1/(Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]),x]","-\frac{2 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{\sqrt{33}}","-\frac{2 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{\sqrt{33}}",1,"(-2*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/Sqrt[33]","A",1,1,28,0.03571,1,"{119}"
2864,1,63,0,0.0160147,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{6 \sqrt{1-2 x} \sqrt{5 x+3}}{7 \sqrt{3 x+2}}-2 \sqrt{\frac{5}{7}} E\left(\sin ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)|\frac{33}{35}\right)","\frac{6 \sqrt{1-2 x} \sqrt{5 x+3}}{7 \sqrt{3 x+2}}-2 \sqrt{\frac{5}{7}} E\left(\sin ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)|\frac{33}{35}\right)",1,"(6*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(7*Sqrt[2 + 3*x]) - 2*Sqrt[5/7]*EllipticE[ArcSin[Sqrt[5/11]*Sqrt[1 - 2*x]], 33/35]","A",3,3,28,0.1071,1,"{104, 21, 113}"
2865,1,127,0,0.0412427,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{148 \sqrt{1-2 x} \sqrt{5 x+3}}{49 \sqrt{3 x+2}}+\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{7 (3 x+2)^{3/2}}-\frac{52 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{49 \sqrt{33}}-\frac{148}{49} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{148 \sqrt{1-2 x} \sqrt{5 x+3}}{49 \sqrt{3 x+2}}+\frac{2 \sqrt{1-2 x} \sqrt{5 x+3}}{7 (3 x+2)^{3/2}}-\frac{52 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{49 \sqrt{33}}-\frac{148}{49} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(7*(2 + 3*x)^(3/2)) + (148*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(49*Sqrt[2 + 3*x]) - (148*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/49 - (52*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(49*Sqrt[33])","A",5,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2866,1,158,0,0.0542436,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^{7/2} \sqrt{3+5 x}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^(7/2)*Sqrt[3 + 5*x]),x]","\frac{20644 \sqrt{1-2 x} \sqrt{5 x+3}}{1715 \sqrt{3 x+2}}+\frac{296 \sqrt{1-2 x} \sqrt{5 x+3}}{245 (3 x+2)^{3/2}}+\frac{6 \sqrt{1-2 x} \sqrt{5 x+3}}{35 (3 x+2)^{5/2}}-\frac{6856 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715 \sqrt{33}}-\frac{20644 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715}","\frac{20644 \sqrt{1-2 x} \sqrt{5 x+3}}{1715 \sqrt{3 x+2}}+\frac{296 \sqrt{1-2 x} \sqrt{5 x+3}}{245 (3 x+2)^{3/2}}+\frac{6 \sqrt{1-2 x} \sqrt{5 x+3}}{35 (3 x+2)^{5/2}}-\frac{6856 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715 \sqrt{33}}-\frac{20644 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715}",1,"(6*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(35*(2 + 3*x)^(5/2)) + (296*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(245*(2 + 3*x)^(3/2)) + (20644*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1715*Sqrt[2 + 3*x]) - (20644*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1715 - (6856*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1715*Sqrt[33])","A",6,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2867,1,160,0,0.052713,"\int \frac{(2+3 x)^{7/2}}{\sqrt{1-2 x} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^(7/2)/(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^{5/2}}{55 \sqrt{5 x+3}}-\frac{69 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{1375}-\frac{2577 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{6875}-\frac{942 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3125}-\frac{61151 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6250}","-\frac{2 \sqrt{1-2 x} (3 x+2)^{5/2}}{55 \sqrt{5 x+3}}-\frac{69 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{1375}-\frac{2577 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{6875}-\frac{942 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3125}-\frac{61151 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6250}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(55*Sqrt[3 + 5*x]) - (2577*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/6875 - (69*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/1375 - (61151*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/6250 - (942*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3125","A",6,5,28,0.1786,1,"{98, 154, 158, 113, 119}"
2868,1,129,0,0.0402219,"\int \frac{(2+3 x)^{5/2}}{\sqrt{1-2 x} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^(5/2)/(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^{3/2}}{55 \sqrt{5 x+3}}-\frac{27}{275} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{17}{125} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{438}{125} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{1-2 x} (3 x+2)^{3/2}}{55 \sqrt{5 x+3}}-\frac{27}{275} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{17}{125} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{438}{125} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(55*Sqrt[3 + 5*x]) - (27*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/275 - (438*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/125 - (17*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/125","A",5,5,28,0.1786,1,"{98, 154, 158, 113, 119}"
2869,1,98,0,0.028639,"\int \frac{(2+3 x)^{3/2}}{\sqrt{1-2 x} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^(3/2)/(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)),x]","-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{55 \sqrt{5 x+3}}-\frac{4}{25} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{31}{25} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{55 \sqrt{5 x+3}}-\frac{4}{25} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{31}{25} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(55*Sqrt[3 + 5*x]) - (31*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/25 - (4*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/25","A",4,4,28,0.1429,1,"{98, 158, 113, 119}"
2870,1,81,0,0.0247858,"\int \frac{\sqrt{2+3 x}}{\sqrt{1-2 x} (3+5 x)^{3/2}} \, dx","Int[Sqrt[2 + 3*x]/(Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)),x]","\frac{2 \sqrt{\frac{7}{5}} \sqrt{-5 x-3} E\left(\sin ^{-1}\left(\sqrt{5} \sqrt{3 x+2}\right)|\frac{2}{35}\right)}{11 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{11 \sqrt{5 x+3}}","\frac{2 \sqrt{\frac{7}{5}} \sqrt{-5 x-3} E\left(\sin ^{-1}\left(\sqrt{5} \sqrt{3 x+2}\right)|\frac{2}{35}\right)}{11 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{11 \sqrt{5 x+3}}",1,"(-2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(11*Sqrt[3 + 5*x]) + (2*Sqrt[7/5]*Sqrt[-3 - 5*x]*EllipticE[ArcSin[Sqrt[5]*Sqrt[2 + 3*x]], 2/35])/(11*Sqrt[3 + 5*x])","A",4,4,28,0.1429,1,"{99, 21, 114, 113}"
2871,1,63,0,0.0166026,"\int \frac{1}{\sqrt{1-2 x} \sqrt{2+3 x} (3+5 x)^{3/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)),x]","2 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{10 \sqrt{1-2 x} \sqrt{3 x+2}}{11 \sqrt{5 x+3}}","2 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{10 \sqrt{1-2 x} \sqrt{3 x+2}}{11 \sqrt{5 x+3}}",1,"(-10*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(11*Sqrt[3 + 5*x]) + 2*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33]","A",3,3,28,0.1071,1,"{104, 21, 113}"
2872,1,129,0,0.0401663,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)),x]","-\frac{680 \sqrt{1-2 x} \sqrt{3 x+2}}{77 \sqrt{5 x+3}}+\frac{6 \sqrt{1-2 x}}{7 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{4}{7} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{136}{7} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{680 \sqrt{1-2 x} \sqrt{3 x+2}}{77 \sqrt{5 x+3}}+\frac{6 \sqrt{1-2 x}}{7 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{4}{7} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{136}{7} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(6*Sqrt[1 - 2*x])/(7*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (680*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(77*Sqrt[3 + 5*x]) + (136*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/7 + (4*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/7","A",5,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2873,1,160,0,0.055133,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)),x]","-\frac{31940 \sqrt{1-2 x} \sqrt{3 x+2}}{539 \sqrt{5 x+3}}+\frac{288 \sqrt{1-2 x}}{49 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{2 \sqrt{1-2 x}}{7 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{192}{49} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{6388}{49} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{31940 \sqrt{1-2 x} \sqrt{3 x+2}}{539 \sqrt{5 x+3}}+\frac{288 \sqrt{1-2 x}}{49 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{2 \sqrt{1-2 x}}{7 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{192}{49} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{6388}{49} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[1 - 2*x])/(7*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (288*Sqrt[1 - 2*x])/(49*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (31940*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(539*Sqrt[3 + 5*x]) + (6388*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/49 + (192*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/49","A",6,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2874,1,191,0,0.0689001,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^{7/2} (3+5 x)^{3/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^(7/2)*(3 + 5*x)^(3/2)),x]","-\frac{1344984 \sqrt{1-2 x} \sqrt{3 x+2}}{3773 \sqrt{5 x+3}}+\frac{60684 \sqrt{1-2 x}}{1715 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{436 \sqrt{1-2 x}}{245 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{6 \sqrt{1-2 x}}{35 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{40456 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715}+\frac{1344984 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715}","-\frac{1344984 \sqrt{1-2 x} \sqrt{3 x+2}}{3773 \sqrt{5 x+3}}+\frac{60684 \sqrt{1-2 x}}{1715 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{436 \sqrt{1-2 x}}{245 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{6 \sqrt{1-2 x}}{35 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{40456 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715}+\frac{1344984 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1715}",1,"(6*Sqrt[1 - 2*x])/(35*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]) + (436*Sqrt[1 - 2*x])/(245*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (60684*Sqrt[1 - 2*x])/(1715*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (1344984*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3773*Sqrt[3 + 5*x]) + (1344984*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1715 + (40456*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1715","A",7,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2875,1,187,0,0.0687328,"\int \frac{(2+3 x)^{9/2}}{\sqrt{1-2 x} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(9/2)/(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^{7/2}}{165 (5 x+3)^{3/2}}-\frac{668 \sqrt{1-2 x} (3 x+2)^{5/2}}{9075 \sqrt{5 x+3}}+\frac{403 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{75625}-\frac{87476 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{378125}-\frac{104663 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{171875 \sqrt{33}}-\frac{6515539 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{343750 \sqrt{33}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^{7/2}}{165 (5 x+3)^{3/2}}-\frac{668 \sqrt{1-2 x} (3 x+2)^{5/2}}{9075 \sqrt{5 x+3}}+\frac{403 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{75625}-\frac{87476 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{378125}-\frac{104663 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{171875 \sqrt{33}}-\frac{6515539 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{343750 \sqrt{33}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^(7/2))/(165*(3 + 5*x)^(3/2)) - (668*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(9075*Sqrt[3 + 5*x]) - (87476*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/378125 + (403*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/75625 - (6515539*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(343750*Sqrt[33]) - (104663*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(171875*Sqrt[33])","A",7,6,28,0.2143,1,"{98, 150, 154, 158, 113, 119}"
2876,1,156,0,0.0506745,"\int \frac{(2+3 x)^{7/2}}{\sqrt{1-2 x} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(7/2)/(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^{5/2}}{165 (5 x+3)^{3/2}}-\frac{536 \sqrt{1-2 x} (3 x+2)^{3/2}}{9075 \sqrt{5 x+3}}-\frac{487 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{15125}-\frac{2281 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6875 \sqrt{33}}-\frac{46159 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6875 \sqrt{33}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^{5/2}}{165 (5 x+3)^{3/2}}-\frac{536 \sqrt{1-2 x} (3 x+2)^{3/2}}{9075 \sqrt{5 x+3}}-\frac{487 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{15125}-\frac{2281 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6875 \sqrt{33}}-\frac{46159 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6875 \sqrt{33}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(165*(3 + 5*x)^(3/2)) - (536*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(9075*Sqrt[3 + 5*x]) - (487*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/15125 - (46159*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(6875*Sqrt[33]) - (2281*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(6875*Sqrt[33])","A",6,6,28,0.2143,1,"{98, 150, 154, 158, 113, 119}"
2877,1,125,0,0.0387463,"\int \frac{(2+3 x)^{5/2}}{\sqrt{1-2 x} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(5/2)/(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)),x]","-\frac{2 \sqrt{1-2 x} (3 x+2)^{3/2}}{165 (5 x+3)^{3/2}}-\frac{404 \sqrt{1-2 x} \sqrt{3 x+2}}{9075 \sqrt{5 x+3}}-\frac{598 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1375 \sqrt{33}}-\frac{2797 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1375 \sqrt{33}}","-\frac{2 \sqrt{1-2 x} (3 x+2)^{3/2}}{165 (5 x+3)^{3/2}}-\frac{404 \sqrt{1-2 x} \sqrt{3 x+2}}{9075 \sqrt{5 x+3}}-\frac{598 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1375 \sqrt{33}}-\frac{2797 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1375 \sqrt{33}}",1,"(-2*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(165*(3 + 5*x)^(3/2)) - (404*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(9075*Sqrt[3 + 5*x]) - (2797*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1375*Sqrt[33]) - (598*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1375*Sqrt[33])","A",5,5,28,0.1786,1,"{98, 150, 158, 113, 119}"
2878,1,125,0,0.0396838,"\int \frac{(2+3 x)^{3/2}}{\sqrt{1-2 x} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(3/2)/(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)),x]","-\frac{272 \sqrt{1-2 x} \sqrt{3 x+2}}{1815 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{165 (5 x+3)^{3/2}}-\frac{202 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{275 \sqrt{33}}+\frac{272 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{275 \sqrt{33}}","-\frac{272 \sqrt{1-2 x} \sqrt{3 x+2}}{1815 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{165 (5 x+3)^{3/2}}-\frac{202 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{275 \sqrt{33}}+\frac{272 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{275 \sqrt{33}}",1,"(-2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(165*(3 + 5*x)^(3/2)) - (272*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(1815*Sqrt[3 + 5*x]) + (272*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(275*Sqrt[33]) - (202*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(275*Sqrt[33])","A",5,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2879,1,125,0,0.0392273,"\int \frac{\sqrt{2+3 x}}{\sqrt{1-2 x} (3+5 x)^{5/2}} \, dx","Int[Sqrt[2 + 3*x]/(Sqrt[1 - 2*x]*(3 + 5*x)^(5/2)),x]","-\frac{74 \sqrt{1-2 x} \sqrt{3 x+2}}{363 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{33 (5 x+3)^{3/2}}-\frac{4 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{55 \sqrt{33}}+\frac{74 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{55 \sqrt{33}}","-\frac{74 \sqrt{1-2 x} \sqrt{3 x+2}}{363 \sqrt{5 x+3}}-\frac{2 \sqrt{1-2 x} \sqrt{3 x+2}}{33 (5 x+3)^{3/2}}-\frac{4 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{55 \sqrt{33}}+\frac{74 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{55 \sqrt{33}}",1,"(-2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(33*(3 + 5*x)^(3/2)) - (74*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(363*Sqrt[3 + 5*x]) + (74*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(55*Sqrt[33]) - (4*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(55*Sqrt[33])","A",5,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2880,1,125,0,0.0383021,"\int \frac{1}{\sqrt{1-2 x} \sqrt{2+3 x} (3+5 x)^{5/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2)),x]","\frac{620 \sqrt{1-2 x} \sqrt{3 x+2}}{363 \sqrt{5 x+3}}-\frac{10 \sqrt{1-2 x} \sqrt{3 x+2}}{33 (5 x+3)^{3/2}}-\frac{4 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{11 \sqrt{33}}-\frac{124 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{11 \sqrt{33}}","\frac{620 \sqrt{1-2 x} \sqrt{3 x+2}}{363 \sqrt{5 x+3}}-\frac{10 \sqrt{1-2 x} \sqrt{3 x+2}}{33 (5 x+3)^{3/2}}-\frac{4 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{11 \sqrt{33}}-\frac{124 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{11 \sqrt{33}}",1,"(-10*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(33*(3 + 5*x)^(3/2)) + (620*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(363*Sqrt[3 + 5*x]) - (124*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(11*Sqrt[33]) - (4*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(11*Sqrt[33])","A",5,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2881,1,156,0,0.0519411,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2)),x]","\frac{89020 \sqrt{1-2 x} \sqrt{3 x+2}}{2541 \sqrt{5 x+3}}-\frac{1340 \sqrt{1-2 x} \sqrt{3 x+2}}{231 (5 x+3)^{3/2}}+\frac{6 \sqrt{1-2 x}}{7 \sqrt{3 x+2} (5 x+3)^{3/2}}-\frac{536 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{77 \sqrt{33}}-\frac{17804 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{77 \sqrt{33}}","\frac{89020 \sqrt{1-2 x} \sqrt{3 x+2}}{2541 \sqrt{5 x+3}}-\frac{1340 \sqrt{1-2 x} \sqrt{3 x+2}}{231 (5 x+3)^{3/2}}+\frac{6 \sqrt{1-2 x}}{7 \sqrt{3 x+2} (5 x+3)^{3/2}}-\frac{536 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{77 \sqrt{33}}-\frac{17804 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{77 \sqrt{33}}",1,"(6*Sqrt[1 - 2*x])/(7*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (1340*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(231*(3 + 5*x)^(3/2)) + (89020*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(2541*Sqrt[3 + 5*x]) - (17804*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(77*Sqrt[33]) - (536*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(77*Sqrt[33])","A",6,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2882,1,187,0,0.0655837,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{6277760 \sqrt{1-2 x} \sqrt{3 x+2}}{17787 \sqrt{5 x+3}}-\frac{94420 \sqrt{1-2 x} \sqrt{3 x+2}}{1617 (5 x+3)^{3/2}}+\frac{428 \sqrt{1-2 x}}{49 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{2 \sqrt{1-2 x}}{7 (3 x+2)^{3/2} (5 x+3)^{3/2}}-\frac{37768 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{539 \sqrt{33}}-\frac{1255552 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{539 \sqrt{33}}","\frac{6277760 \sqrt{1-2 x} \sqrt{3 x+2}}{17787 \sqrt{5 x+3}}-\frac{94420 \sqrt{1-2 x} \sqrt{3 x+2}}{1617 (5 x+3)^{3/2}}+\frac{428 \sqrt{1-2 x}}{49 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{2 \sqrt{1-2 x}}{7 (3 x+2)^{3/2} (5 x+3)^{3/2}}-\frac{37768 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{539 \sqrt{33}}-\frac{1255552 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{539 \sqrt{33}}",1,"(2*Sqrt[1 - 2*x])/(7*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (428*Sqrt[1 - 2*x])/(49*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (94420*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(1617*(3 + 5*x)^(3/2)) + (6277760*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(17787*Sqrt[3 + 5*x]) - (1255552*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(539*Sqrt[33]) - (37768*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(539*Sqrt[33])","A",7,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2883,1,218,0,0.0839212,"\int \frac{1}{\sqrt{1-2 x} (2+3 x)^{7/2} (3+5 x)^{5/2}} \, dx","Int[1/(Sqrt[1 - 2*x]*(2 + 3*x)^(7/2)*(3 + 5*x)^(5/2)),x]","\frac{352875016 \sqrt{1-2 x} \sqrt{3 x+2}}{124509 \sqrt{5 x+3}}-\frac{5307272 \sqrt{1-2 x} \sqrt{3 x+2}}{11319 (5 x+3)^{3/2}}+\frac{120324 \sqrt{1-2 x}}{1715 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{576 \sqrt{1-2 x}}{245 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{6 \sqrt{1-2 x}}{35 (3 x+2)^{5/2} (5 x+3)^{3/2}}-\frac{10614544 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{18865 \sqrt{33}}-\frac{352875016 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{18865 \sqrt{33}}","\frac{352875016 \sqrt{1-2 x} \sqrt{3 x+2}}{124509 \sqrt{5 x+3}}-\frac{5307272 \sqrt{1-2 x} \sqrt{3 x+2}}{11319 (5 x+3)^{3/2}}+\frac{120324 \sqrt{1-2 x}}{1715 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{576 \sqrt{1-2 x}}{245 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{6 \sqrt{1-2 x}}{35 (3 x+2)^{5/2} (5 x+3)^{3/2}}-\frac{10614544 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{18865 \sqrt{33}}-\frac{352875016 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{18865 \sqrt{33}}",1,"(6*Sqrt[1 - 2*x])/(35*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)) + (576*Sqrt[1 - 2*x])/(245*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (120324*Sqrt[1 - 2*x])/(1715*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (5307272*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(11319*(3 + 5*x)^(3/2)) + (352875016*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(124509*Sqrt[3 + 5*x]) - (352875016*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(18865*Sqrt[33]) - (10614544*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(18865*Sqrt[33])","A",8,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2884,1,86,0,0.0377975,"\int \frac{\sqrt{x}}{\sqrt{a+2 x} \sqrt{c+2 x}} \, dx","Int[Sqrt[x]/(Sqrt[a + 2*x]*Sqrt[c + 2*x]),x]","\frac{\sqrt{x} \sqrt{a-c} \sqrt{-\frac{c+2 x}{a-c}} E\left(\sin ^{-1}\left(\frac{\sqrt{a+2 x}}{\sqrt{a-c}}\right)|1-\frac{c}{a}\right)}{\sqrt{2} \sqrt{-\frac{x}{a}} \sqrt{c+2 x}}","\frac{\sqrt{x} \sqrt{a-c} \sqrt{-\frac{c+2 x}{a-c}} E\left(\sin ^{-1}\left(\frac{\sqrt{a+2 x}}{\sqrt{a-c}}\right)|1-\frac{c}{a}\right)}{\sqrt{2} \sqrt{-\frac{x}{a}} \sqrt{c+2 x}}",1,"(Sqrt[a - c]*Sqrt[x]*Sqrt[-((c + 2*x)/(a - c))]*EllipticE[ArcSin[Sqrt[a + 2*x]/Sqrt[a - c]], 1 - c/a])/(Sqrt[2]*Sqrt[-(x/a)]*Sqrt[c + 2*x])","A",3,3,24,0.1250,1,"{114, 12, 113}"
2885,1,18,0,0.0053562,"\int \frac{1}{\sqrt{4-x} \sqrt{5-x} \sqrt{-3+x}} \, dx","Int[1/(Sqrt[4 - x]*Sqrt[5 - x]*Sqrt[-3 + x]),x]","\sqrt{2} F\left(\sin ^{-1}\left(\sqrt{x-3}\right)|\frac{1}{2}\right)","\sqrt{2} F\left(\sin ^{-1}\left(\sqrt{x-3}\right)|\frac{1}{2}\right)",1,"Sqrt[2]*EllipticF[ArcSin[Sqrt[-3 + x]], 1/2]","A",1,1,26,0.03846,1,"{119}"
2886,1,14,0,0.0303149,"\int \frac{1}{\sqrt{4-x} \sqrt{(5-x) (-3+x)}} \, dx","Int[1/(Sqrt[4 - x]*Sqrt[(5 - x)*(-3 + x)]),x]","-2 F\left(\left.\sin ^{-1}\left(\sqrt{4-x}\right)\right|-1\right)","-2 F\left(\left.\sin ^{-1}\left(\sqrt{4-x}\right)\right|-1\right)",1,"-2*EllipticF[ArcSin[Sqrt[4 - x]], -1]","A",3,3,23,0.1304,1,"{1982, 689, 221}"
2887,1,14,0,0.0103052,"\int \frac{1}{\sqrt{4-x} \sqrt{-15+8 x-x^2}} \, dx","Int[1/(Sqrt[4 - x]*Sqrt[-15 + 8*x - x^2]),x]","-2 F\left(\left.\sin ^{-1}\left(\sqrt{4-x}\right)\right|-1\right)","-2 F\left(\left.\sin ^{-1}\left(\sqrt{4-x}\right)\right|-1\right)",1,"-2*EllipticF[ArcSin[Sqrt[4 - x]], -1]","A",2,2,24,0.08333,1,"{689, 221}"
2888,1,16,0,0.0048509,"\int \frac{1}{\sqrt{6-x} \sqrt{-2+x} \sqrt{-1+x}} \, dx","Int[1/(Sqrt[6 - x]*Sqrt[-2 + x]*Sqrt[-1 + x]),x]","2 F\left(\left.\sin ^{-1}\left(\frac{\sqrt{x-2}}{2}\right)\right|-4\right)","2 F\left(\left.\sin ^{-1}\left(\frac{\sqrt{x-2}}{2}\right)\right|-4\right)",1,"2*EllipticF[ArcSin[Sqrt[-2 + x]/2], -4]","A",1,1,24,0.04167,1,"{119}"
2889,1,25,0,0.0346238,"\int \frac{1}{\sqrt{(6-x) (-2+x)} \sqrt{-1+x}} \, dx","Int[1/(Sqrt[(6 - x)*(-2 + x)]*Sqrt[-1 + x]),x]","-\frac{2 F\left(\sin ^{-1}\left(\frac{\sqrt{6-x}}{2}\right)|\frac{4}{5}\right)}{\sqrt{5}}","-\frac{2 F\left(\sin ^{-1}\left(\frac{\sqrt{6-x}}{2}\right)|\frac{4}{5}\right)}{\sqrt{5}}",1,"(-2*EllipticF[ArcSin[Sqrt[6 - x]/2], 4/5])/Sqrt[5]","A",3,3,21,0.1429,1,"{1982, 718, 419}"
2890,1,25,0,0.0163658,"\int \frac{1}{\sqrt{-1+x} \sqrt{-12+8 x-x^2}} \, dx","Int[1/(Sqrt[-1 + x]*Sqrt[-12 + 8*x - x^2]),x]","-\frac{2 F\left(\sin ^{-1}\left(\frac{\sqrt{6-x}}{2}\right)|\frac{4}{5}\right)}{\sqrt{5}}","-\frac{2 F\left(\sin ^{-1}\left(\frac{\sqrt{6-x}}{2}\right)|\frac{4}{5}\right)}{\sqrt{5}}",1,"(-2*EllipticF[ArcSin[Sqrt[6 - x]/2], 4/5])/Sqrt[5]","A",2,2,22,0.09091,1,"{718, 419}"
2891,1,186,0,0.059548,"\int \frac{(2+3 x)^{7/2} \sqrt{3+5 x}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^(7/2)*Sqrt[3 + 5*x])/(1 - 2*x)^(3/2),x]","\frac{\sqrt{5 x+3} (3 x+2)^{7/2}}{\sqrt{1-2 x}}+\frac{12}{7} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}+\frac{2517}{350} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}+\frac{29293}{875} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}+\frac{673523 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8750 \sqrt{33}}+\frac{4071079 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{17500}","\frac{\sqrt{5 x+3} (3 x+2)^{7/2}}{\sqrt{1-2 x}}+\frac{12}{7} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}+\frac{2517}{350} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}+\frac{29293}{875} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}+\frac{673523 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8750 \sqrt{33}}+\frac{4071079 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{17500}",1,"(29293*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/875 + (2517*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/350 + (12*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/7 + ((2 + 3*x)^(7/2)*Sqrt[3 + 5*x])/Sqrt[1 - 2*x] + (4071079*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/17500 + (673523*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(8750*Sqrt[33])","A",7,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2892,1,155,0,0.0458242,"\int \frac{(2+3 x)^{5/2} \sqrt{3+5 x}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/(1 - 2*x)^(3/2),x]","\frac{\sqrt{5 x+3} (3 x+2)^{5/2}}{\sqrt{1-2 x}}+\frac{9}{5} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}+\frac{419}{50} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}+\frac{4817 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{250 \sqrt{33}}+\frac{7279}{125} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{\sqrt{5 x+3} (3 x+2)^{5/2}}{\sqrt{1-2 x}}+\frac{9}{5} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}+\frac{419}{50} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}+\frac{4817 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{250 \sqrt{33}}+\frac{7279}{125} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(419*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/50 + (9*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/5 + ((2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/Sqrt[1 - 2*x] + (7279*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/125 + (4817*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(250*Sqrt[33])","A",6,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2893,1,122,0,0.0332651,"\int \frac{(2+3 x)^{3/2} \sqrt{3+5 x}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/(1 - 2*x)^(3/2),x]","\frac{\sqrt{5 x+3} (3 x+2)^{3/2}}{\sqrt{1-2 x}}+2 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}+\frac{23 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5 \sqrt{33}}+\frac{139}{10} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{\sqrt{5 x+3} (3 x+2)^{3/2}}{\sqrt{1-2 x}}+2 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}+\frac{23 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5 \sqrt{33}}+\frac{139}{10} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"2*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x] + ((2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/Sqrt[1 - 2*x] + (139*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/10 + (23*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(5*Sqrt[33])","A",5,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2894,1,85,0,0.0252696,"\int \frac{\sqrt{2+3 x} \sqrt{3+5 x}}{(1-2 x)^{3/2}} \, dx","Int[(Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(1 - 2*x)^(3/2),x]","\frac{\sqrt{3 x+2} \sqrt{5 x+3}}{\sqrt{1-2 x}}+\frac{F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{\sqrt{33}}+\sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{\sqrt{3 x+2} \sqrt{5 x+3}}{\sqrt{1-2 x}}+\frac{F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{\sqrt{33}}+\sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/Sqrt[1 - 2*x] + Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33] + EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33]/Sqrt[33]","A",4,4,28,0.1429,1,"{97, 158, 113, 119}"
2895,1,62,0,0.0151155,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{3/2} \sqrt{2+3 x}} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(3/2)*Sqrt[2 + 3*x]),x]","\frac{2 \sqrt{3 x+2} \sqrt{5 x+3}}{7 \sqrt{1-2 x}}+\sqrt{\frac{5}{7}} E\left(\sin ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)|\frac{33}{35}\right)","\frac{2 \sqrt{3 x+2} \sqrt{5 x+3}}{7 \sqrt{1-2 x}}+\sqrt{\frac{5}{7}} E\left(\sin ^{-1}\left(\sqrt{\frac{5}{11}} \sqrt{1-2 x}\right)|\frac{33}{35}\right)",1,"(2*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]) + Sqrt[5/7]*EllipticE[ArcSin[Sqrt[5/11]*Sqrt[1 - 2*x]], 33/35]","A",3,3,28,0.1071,1,"{99, 21, 113}"
2896,1,125,0,0.0394081,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{3/2} (2+3 x)^{3/2}} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)),x]","-\frac{12 \sqrt{1-2 x} \sqrt{5 x+3}}{49 \sqrt{3 x+2}}+\frac{2 \sqrt{5 x+3}}{7 \sqrt{1-2 x} \sqrt{3 x+2}}-\frac{62 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{49 \sqrt{33}}+\frac{4}{49} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{12 \sqrt{1-2 x} \sqrt{5 x+3}}{49 \sqrt{3 x+2}}+\frac{2 \sqrt{5 x+3}}{7 \sqrt{1-2 x} \sqrt{3 x+2}}-\frac{62 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{49 \sqrt{33}}+\frac{4}{49} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]) - (12*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(49*Sqrt[2 + 3*x]) + (4*Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/49 - (62*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(49*Sqrt[33])","A",5,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2897,1,158,0,0.0510116,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{3/2} (2+3 x)^{5/2}} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)),x]","\frac{38 \sqrt{1-2 x} \sqrt{5 x+3}}{343 \sqrt{3 x+2}}-\frac{8 \sqrt{1-2 x} \sqrt{5 x+3}}{49 (3 x+2)^{3/2}}+\frac{2 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^{3/2}}-\frac{212 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{343 \sqrt{33}}-\frac{38}{343} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{38 \sqrt{1-2 x} \sqrt{5 x+3}}{343 \sqrt{3 x+2}}-\frac{8 \sqrt{1-2 x} \sqrt{5 x+3}}{49 (3 x+2)^{3/2}}+\frac{2 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^{3/2}}-\frac{212 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{343 \sqrt{33}}-\frac{38}{343} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)) - (8*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(49*(2 + 3*x)^(3/2)) + (38*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(343*Sqrt[2 + 3*x]) - (38*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/343 - (212*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(343*Sqrt[33])","A",6,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2898,1,189,0,0.0645097,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{3/2} (2+3 x)^{7/2}} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(3/2)*(2 + 3*x)^(7/2)),x]","\frac{5636 \sqrt{1-2 x} \sqrt{5 x+3}}{12005 \sqrt{3 x+2}}-\frac{26 \sqrt{1-2 x} \sqrt{5 x+3}}{1715 (3 x+2)^{3/2}}-\frac{36 \sqrt{1-2 x} \sqrt{5 x+3}}{245 (3 x+2)^{5/2}}+\frac{2 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^{5/2}}-\frac{4364 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12005 \sqrt{33}}-\frac{5636 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12005}","\frac{5636 \sqrt{1-2 x} \sqrt{5 x+3}}{12005 \sqrt{3 x+2}}-\frac{26 \sqrt{1-2 x} \sqrt{5 x+3}}{1715 (3 x+2)^{3/2}}-\frac{36 \sqrt{1-2 x} \sqrt{5 x+3}}{245 (3 x+2)^{5/2}}+\frac{2 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^{5/2}}-\frac{4364 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12005 \sqrt{33}}-\frac{5636 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12005}",1,"(2*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)) - (36*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(245*(2 + 3*x)^(5/2)) - (26*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1715*(2 + 3*x)^(3/2)) + (5636*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(12005*Sqrt[2 + 3*x]) - (5636*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/12005 - (4364*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(12005*Sqrt[33])","A",7,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2899,1,219,0,0.0721299,"\int \frac{(2+3 x)^{7/2} (3+5 x)^{3/2}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^(7/2)*(3 + 5*x)^(3/2))/(1 - 2*x)^(3/2),x]","\frac{(5 x+3)^{3/2} (3 x+2)^{7/2}}{\sqrt{1-2 x}}+\frac{5}{3} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{5/2}+\frac{1397}{210} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{3/2}+\frac{24358}{875} \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}+\frac{6770629 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{31500}+\frac{6770629 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{157500}+\frac{112543103 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{78750}","\frac{(5 x+3)^{3/2} (3 x+2)^{7/2}}{\sqrt{1-2 x}}+\frac{5}{3} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{5/2}+\frac{1397}{210} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{3/2}+\frac{24358}{875} \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}+\frac{6770629 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{31500}+\frac{6770629 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{157500}+\frac{112543103 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{78750}",1,"(6770629*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/31500 + (24358*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/875 + (1397*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/210 + (5*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2))/3 + ((2 + 3*x)^(7/2)*(3 + 5*x)^(3/2))/Sqrt[1 - 2*x] + (112543103*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/78750 + (6770629*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/157500","A",8,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2900,1,188,0,0.0587716,"\int \frac{(2+3 x)^{5/2} (3+5 x)^{3/2}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^(5/2)*(3 + 5*x)^(3/2))/(1 - 2*x)^(3/2),x]","\frac{(5 x+3)^{3/2} (3 x+2)^{5/2}}{\sqrt{1-2 x}}+\frac{12}{7} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{3/2}+\frac{2511}{350} \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}+\frac{9694}{175} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}+\frac{9694}{875} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{1289089 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3500}","\frac{(5 x+3)^{3/2} (3 x+2)^{5/2}}{\sqrt{1-2 x}}+\frac{12}{7} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{3/2}+\frac{2511}{350} \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}+\frac{9694}{175} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}+\frac{9694}{875} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{1289089 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3500}",1,"(9694*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/175 + (2511*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/350 + (12*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/7 + ((2 + 3*x)^(5/2)*(3 + 5*x)^(3/2))/Sqrt[1 - 2*x] + (1289089*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3500 + (9694*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/875","A",7,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2901,1,157,0,0.0441235,"\int \frac{(2+3 x)^{3/2} (3+5 x)^{3/2}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/(1 - 2*x)^(3/2),x]","\frac{(3 x+2)^{3/2} (5 x+3)^{3/2}}{\sqrt{1-2 x}}+\frac{9}{5} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{139}{10} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{139}{50} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{4621}{50} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{(3 x+2)^{3/2} (5 x+3)^{3/2}}{\sqrt{1-2 x}}+\frac{9}{5} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{139}{10} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{139}{50} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{4621}{50} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(139*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/10 + (9*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/5 + ((2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/Sqrt[1 - 2*x] + (4621*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/50 + (139*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/50","A",6,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2902,1,126,0,0.0355012,"\int \frac{\sqrt{2+3 x} (3+5 x)^{3/2}}{(1-2 x)^{3/2}} \, dx","Int[(Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/(1 - 2*x)^(3/2),x]","\frac{\sqrt{3 x+2} (5 x+3)^{3/2}}{\sqrt{1-2 x}}+\frac{10}{3} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{2}{3} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{133}{6} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{\sqrt{3 x+2} (5 x+3)^{3/2}}{\sqrt{1-2 x}}+\frac{10}{3} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{2}{3} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{133}{6} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(10*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/3 + (Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/Sqrt[1 - 2*x] + (133*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/6 + (2*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3","A",5,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2903,1,98,0,0.0272268,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{3/2} \sqrt{2+3 x}} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(3/2)*Sqrt[2 + 3*x]),x]","\frac{11 \sqrt{3 x+2} \sqrt{5 x+3}}{7 \sqrt{1-2 x}}+\frac{1}{7} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{34}{7} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{11 \sqrt{3 x+2} \sqrt{5 x+3}}{7 \sqrt{1-2 x}}+\frac{1}{7} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{34}{7} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(11*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]) + (34*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/7 + (Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/7","A",4,4,28,0.1429,1,"{98, 158, 113, 119}"
2904,1,129,0,0.037945,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{3/2} (2+3 x)^{3/2}} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)),x]","-\frac{31 \sqrt{1-2 x} \sqrt{5 x+3}}{49 \sqrt{3 x+2}}+\frac{11 \sqrt{5 x+3}}{7 \sqrt{1-2 x} \sqrt{3 x+2}}+\frac{4}{49} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{31}{49} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{31 \sqrt{1-2 x} \sqrt{5 x+3}}{49 \sqrt{3 x+2}}+\frac{11 \sqrt{5 x+3}}{7 \sqrt{1-2 x} \sqrt{3 x+2}}+\frac{4}{49} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{31}{49} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(11*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]) - (31*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(49*Sqrt[2 + 3*x]) + (31*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/49 + (4*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/49","A",5,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2905,1,160,0,0.0501185,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{3/2} (2+3 x)^{5/2}} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)),x]","-\frac{458 \sqrt{1-2 x} \sqrt{5 x+3}}{1029 \sqrt{3 x+2}}-\frac{97 \sqrt{1-2 x} \sqrt{5 x+3}}{147 (3 x+2)^{3/2}}+\frac{11 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^{3/2}}-\frac{178 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1029}+\frac{458 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1029}","-\frac{458 \sqrt{1-2 x} \sqrt{5 x+3}}{1029 \sqrt{3 x+2}}-\frac{97 \sqrt{1-2 x} \sqrt{5 x+3}}{147 (3 x+2)^{3/2}}+\frac{11 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^{3/2}}-\frac{178 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1029}+\frac{458 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1029}",1,"(11*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)) - (97*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(147*(2 + 3*x)^(3/2)) - (458*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1029*Sqrt[2 + 3*x]) + (458*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1029 - (178*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1029","A",6,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2906,1,191,0,0.0656767,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{3/2} (2+3 x)^{7/2}} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^(7/2)),x]","\frac{338 \sqrt{1-2 x} \sqrt{5 x+3}}{12005 \sqrt{3 x+2}}-\frac{458 \sqrt{1-2 x} \sqrt{5 x+3}}{1715 (3 x+2)^{3/2}}-\frac{163 \sqrt{1-2 x} \sqrt{5 x+3}}{245 (3 x+2)^{5/2}}+\frac{11 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^{5/2}}-\frac{992 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12005}-\frac{338 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12005}","\frac{338 \sqrt{1-2 x} \sqrt{5 x+3}}{12005 \sqrt{3 x+2}}-\frac{458 \sqrt{1-2 x} \sqrt{5 x+3}}{1715 (3 x+2)^{3/2}}-\frac{163 \sqrt{1-2 x} \sqrt{5 x+3}}{245 (3 x+2)^{5/2}}+\frac{11 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^{5/2}}-\frac{992 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12005}-\frac{338 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12005}",1,"(11*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)) - (163*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(245*(2 + 3*x)^(5/2)) - (458*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1715*(2 + 3*x)^(3/2)) + (338*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(12005*Sqrt[2 + 3*x]) - (338*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/12005 - (992*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/12005","A",7,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2907,1,222,0,0.0826907,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{3/2} (2+3 x)^{9/2}} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^(9/2)),x]","\frac{189368 \sqrt{1-2 x} \sqrt{5 x+3}}{588245 \sqrt{3 x+2}}-\frac{5438 \sqrt{1-2 x} \sqrt{5 x+3}}{84035 (3 x+2)^{3/2}}-\frac{2818 \sqrt{1-2 x} \sqrt{5 x+3}}{12005 (3 x+2)^{5/2}}-\frac{229 \sqrt{1-2 x} \sqrt{5 x+3}}{343 (3 x+2)^{7/2}}+\frac{11 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^{7/2}}-\frac{23012 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{588245}-\frac{189368 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{588245}","\frac{189368 \sqrt{1-2 x} \sqrt{5 x+3}}{588245 \sqrt{3 x+2}}-\frac{5438 \sqrt{1-2 x} \sqrt{5 x+3}}{84035 (3 x+2)^{3/2}}-\frac{2818 \sqrt{1-2 x} \sqrt{5 x+3}}{12005 (3 x+2)^{5/2}}-\frac{229 \sqrt{1-2 x} \sqrt{5 x+3}}{343 (3 x+2)^{7/2}}+\frac{11 \sqrt{5 x+3}}{7 \sqrt{1-2 x} (3 x+2)^{7/2}}-\frac{23012 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{588245}-\frac{189368 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{588245}",1,"(11*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]*(2 + 3*x)^(7/2)) - (229*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(343*(2 + 3*x)^(7/2)) - (2818*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(12005*(2 + 3*x)^(5/2)) - (5438*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(84035*(2 + 3*x)^(3/2)) + (189368*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(588245*Sqrt[2 + 3*x]) - (189368*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/588245 - (23012*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/588245","A",8,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2908,1,246,0,0.0892238,"\int \frac{(2+3 x)^{7/2} (3+5 x)^{5/2}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^(7/2)*(3 + 5*x)^(5/2))/(1 - 2*x)^(3/2),x]","\frac{(5 x+3)^{5/2} (3 x+2)^{7/2}}{\sqrt{1-2 x}}+\frac{18}{11} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^{5/2}+\frac{419}{66} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^{3/2}+\frac{9741}{385} \sqrt{1-2 x} (5 x+3)^{5/2} \sqrt{3 x+2}+\frac{4066493 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{23100}+\frac{269045681 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{207900}+\frac{269045681 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{94500 \sqrt{33}}+\frac{17888580643 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{189000 \sqrt{33}}","\frac{(5 x+3)^{5/2} (3 x+2)^{7/2}}{\sqrt{1-2 x}}+\frac{18}{11} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^{5/2}+\frac{419}{66} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^{3/2}+\frac{9741}{385} \sqrt{1-2 x} (5 x+3)^{5/2} \sqrt{3 x+2}+\frac{4066493 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{23100}+\frac{269045681 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{207900}+\frac{269045681 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{94500 \sqrt{33}}+\frac{17888580643 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{189000 \sqrt{33}}",1,"(269045681*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/207900 + (4066493*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/23100 + (9741*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/385 + (419*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/66 + (18*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/11 + ((2 + 3*x)^(7/2)*(3 + 5*x)^(5/2))/Sqrt[1 - 2*x] + (17888580643*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(189000*Sqrt[33]) + (269045681*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(94500*Sqrt[33])","A",9,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2909,1,219,0,0.0714172,"\int \frac{(2+3 x)^{5/2} (3+5 x)^{5/2}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/(1 - 2*x)^(3/2),x]","\frac{(3 x+2)^{5/2} (5 x+3)^{5/2}}{\sqrt{1-2 x}}+\frac{5}{3} \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}+\frac{93}{14} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{4853}{105} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{1284329 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{3780}+\frac{1284329 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{18900}+\frac{42696881 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{18900}","\frac{(3 x+2)^{5/2} (5 x+3)^{5/2}}{\sqrt{1-2 x}}+\frac{5}{3} \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{5/2}+\frac{93}{14} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{4853}{105} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{1284329 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}{3780}+\frac{1284329 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{18900}+\frac{42696881 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{18900}",1,"(1284329*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/3780 + (4853*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/105 + (93*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/14 + (5*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/3 + ((2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/Sqrt[1 - 2*x] + (42696881*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/18900 + (1284329*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/18900","A",8,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2910,1,188,0,0.0610606,"\int \frac{(2+3 x)^{3/2} (3+5 x)^{5/2}}{(1-2 x)^{3/2}} \, dx","Int[((2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/(1 - 2*x)^(3/2),x]","\frac{(3 x+2)^{3/2} (5 x+3)^{5/2}}{\sqrt{1-2 x}}+\frac{12}{7} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{167}{14} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{3683}{42} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{3683}{210} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{244879}{420} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{(3 x+2)^{3/2} (5 x+3)^{5/2}}{\sqrt{1-2 x}}+\frac{12}{7} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}+\frac{167}{14} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{3683}{42} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{3683}{210} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{244879}{420} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(3683*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/42 + (167*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/14 + (12*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/7 + ((2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/Sqrt[1 - 2*x] + (244879*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/420 + (3683*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/210","A",7,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2911,1,155,0,0.0442725,"\int \frac{\sqrt{2+3 x} (3+5 x)^{5/2}}{(1-2 x)^{3/2}} \, dx","Int[(Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/(1 - 2*x)^(3/2),x]","\frac{\sqrt{3 x+2} (5 x+3)^{5/2}}{\sqrt{1-2 x}}+3 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{397}{18} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{397}{90} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{6599}{45} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{\sqrt{3 x+2} (5 x+3)^{5/2}}{\sqrt{1-2 x}}+3 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}+\frac{397}{18} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{397}{90} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{6599}{45} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(397*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/18 + 3*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2) + (Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/Sqrt[1 - 2*x] + (6599*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/45 + (397*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/90","A",6,5,28,0.1786,1,"{97, 154, 158, 113, 119}"
2912,1,129,0,0.0380897,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{3/2} \sqrt{2+3 x}} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(3/2)*Sqrt[2 + 3*x]),x]","\frac{11 \sqrt{3 x+2} (5 x+3)^{3/2}}{7 \sqrt{1-2 x}}+\frac{335}{63} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{67}{63} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{4451}{126} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{11 \sqrt{3 x+2} (5 x+3)^{3/2}}{7 \sqrt{1-2 x}}+\frac{335}{63} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}+\frac{67}{63} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{4451}{126} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(335*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/63 + (11*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/(7*Sqrt[1 - 2*x]) + (4451*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/126 + (67*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/63","A",5,5,28,0.1786,1,"{98, 154, 158, 113, 119}"
2913,1,129,0,0.0373532,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{3/2} (2+3 x)^{3/2}} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)),x]","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} \sqrt{3 x+2}}+\frac{31 \sqrt{1-2 x} \sqrt{5 x+3}}{147 \sqrt{3 x+2}}+\frac{31}{147} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{1159}{147} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} \sqrt{3 x+2}}+\frac{31 \sqrt{1-2 x} \sqrt{5 x+3}}{147 \sqrt{3 x+2}}+\frac{31}{147} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{1159}{147} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(31*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(147*Sqrt[2 + 3*x]) + (11*(3 + 5*x)^(3/2))/(7*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]) + (1159*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/147 + (31*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/147","A",5,5,28,0.1786,1,"{98, 150, 158, 113, 119}"
2914,1,160,0,0.0517047,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{3/2} (2+3 x)^{5/2}} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)),x]","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)^{3/2}}-\frac{2797 \sqrt{1-2 x} \sqrt{5 x+3}}{3087 \sqrt{3 x+2}}+\frac{97 \sqrt{1-2 x} \sqrt{5 x+3}}{441 (3 x+2)^{3/2}}+\frac{598 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3087}+\frac{2797 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3087}","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)^{3/2}}-\frac{2797 \sqrt{1-2 x} \sqrt{5 x+3}}{3087 \sqrt{3 x+2}}+\frac{97 \sqrt{1-2 x} \sqrt{5 x+3}}{441 (3 x+2)^{3/2}}+\frac{598 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3087}+\frac{2797 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3087}",1,"(97*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(441*(2 + 3*x)^(3/2)) - (2797*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3087*Sqrt[2 + 3*x]) + (11*(3 + 5*x)^(3/2))/(7*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)) + (2797*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3087 + (598*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3087","A",6,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2915,1,191,0,0.0637846,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{3/2} (2+3 x)^{7/2}} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^(7/2)),x]","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)^{5/2}}-\frac{81164 \sqrt{1-2 x} \sqrt{5 x+3}}{108045 \sqrt{3 x+2}}-\frac{15601 \sqrt{1-2 x} \sqrt{5 x+3}}{15435 (3 x+2)^{3/2}}+\frac{163 \sqrt{1-2 x} \sqrt{5 x+3}}{735 (3 x+2)^{5/2}}-\frac{28174 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{108045}+\frac{81164 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{108045}","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)^{5/2}}-\frac{81164 \sqrt{1-2 x} \sqrt{5 x+3}}{108045 \sqrt{3 x+2}}-\frac{15601 \sqrt{1-2 x} \sqrt{5 x+3}}{15435 (3 x+2)^{3/2}}+\frac{163 \sqrt{1-2 x} \sqrt{5 x+3}}{735 (3 x+2)^{5/2}}-\frac{28174 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{108045}+\frac{81164 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{108045}",1,"(163*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(735*(2 + 3*x)^(5/2)) - (15601*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(15435*(2 + 3*x)^(3/2)) - (81164*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(108045*Sqrt[2 + 3*x]) + (11*(3 + 5*x)^(3/2))/(7*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)) + (81164*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/108045 - (28174*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/108045","A",7,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2916,1,222,0,0.0795845,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{3/2} (2+3 x)^{9/2}} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^(9/2)),x]","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)^{7/2}}-\frac{106558 \sqrt{1-2 x} \sqrt{5 x+3}}{1764735 \sqrt{3 x+2}}-\frac{106772 \sqrt{1-2 x} \sqrt{5 x+3}}{252105 (3 x+2)^{3/2}}-\frac{37117 \sqrt{1-2 x} \sqrt{5 x+3}}{36015 (3 x+2)^{5/2}}+\frac{229 \sqrt{1-2 x} \sqrt{5 x+3}}{1029 (3 x+2)^{7/2}}-\frac{220028 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1764735}+\frac{106558 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1764735}","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)^{7/2}}-\frac{106558 \sqrt{1-2 x} \sqrt{5 x+3}}{1764735 \sqrt{3 x+2}}-\frac{106772 \sqrt{1-2 x} \sqrt{5 x+3}}{252105 (3 x+2)^{3/2}}-\frac{37117 \sqrt{1-2 x} \sqrt{5 x+3}}{36015 (3 x+2)^{5/2}}+\frac{229 \sqrt{1-2 x} \sqrt{5 x+3}}{1029 (3 x+2)^{7/2}}-\frac{220028 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1764735}+\frac{106558 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1764735}",1,"(229*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1029*(2 + 3*x)^(7/2)) - (37117*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(36015*(2 + 3*x)^(5/2)) - (106772*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(252105*(2 + 3*x)^(3/2)) - (106558*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1764735*Sqrt[2 + 3*x]) + (11*(3 + 5*x)^(3/2))/(7*Sqrt[1 - 2*x]*(2 + 3*x)^(7/2)) + (106558*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1764735 - (220028*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1764735","A",8,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2917,1,253,0,0.0973988,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{3/2} (2+3 x)^{11/2}} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(3/2)*(2 + 3*x)^(11/2)),x]","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)^{9/2}}+\frac{6036028 \sqrt{1-2 x} \sqrt{5 x+3}}{22235661 \sqrt{3 x+2}}-\frac{392998 \sqrt{1-2 x} \sqrt{5 x+3}}{3176523 (3 x+2)^{3/2}}-\frac{167228 \sqrt{1-2 x} \sqrt{5 x+3}}{453789 (3 x+2)^{5/2}}-\frac{67345 \sqrt{1-2 x} \sqrt{5 x+3}}{64827 (3 x+2)^{7/2}}+\frac{295 \sqrt{1-2 x} \sqrt{5 x+3}}{1323 (3 x+2)^{9/2}}-\frac{1199452 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{22235661}-\frac{6036028 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{22235661}","\frac{11 (5 x+3)^{3/2}}{7 \sqrt{1-2 x} (3 x+2)^{9/2}}+\frac{6036028 \sqrt{1-2 x} \sqrt{5 x+3}}{22235661 \sqrt{3 x+2}}-\frac{392998 \sqrt{1-2 x} \sqrt{5 x+3}}{3176523 (3 x+2)^{3/2}}-\frac{167228 \sqrt{1-2 x} \sqrt{5 x+3}}{453789 (3 x+2)^{5/2}}-\frac{67345 \sqrt{1-2 x} \sqrt{5 x+3}}{64827 (3 x+2)^{7/2}}+\frac{295 \sqrt{1-2 x} \sqrt{5 x+3}}{1323 (3 x+2)^{9/2}}-\frac{1199452 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{22235661}-\frac{6036028 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{22235661}",1,"(295*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1323*(2 + 3*x)^(9/2)) - (67345*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(64827*(2 + 3*x)^(7/2)) - (167228*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(453789*(2 + 3*x)^(5/2)) - (392998*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3176523*(2 + 3*x)^(3/2)) + (6036028*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(22235661*Sqrt[2 + 3*x]) + (11*(3 + 5*x)^(3/2))/(7*Sqrt[1 - 2*x]*(2 + 3*x)^(9/2)) - (6036028*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/22235661 - (1199452*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/22235661","A",9,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2918,1,160,0,0.049833,"\int \frac{(2+3 x)^{7/2}}{(1-2 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^(7/2)/((1 - 2*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (3 x+2)^{5/2}}{11 \sqrt{1-2 x}}+\frac{312}{275} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}+\frac{14517 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{2750}+\frac{5057 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1250}+\frac{168123 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1250}","\frac{7 \sqrt{5 x+3} (3 x+2)^{5/2}}{11 \sqrt{1-2 x}}+\frac{312}{275} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}+\frac{14517 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{2750}+\frac{5057 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1250}+\frac{168123 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1250}",1,"(14517*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/2750 + (312*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/275 + (7*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/(11*Sqrt[1 - 2*x]) + (168123*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1250 + (5057*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1250","A",6,5,28,0.1786,1,"{98, 154, 158, 113, 119}"
2919,1,129,0,0.0406841,"\int \frac{(2+3 x)^{5/2}}{(1-2 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^(5/2)/((1 - 2*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (3 x+2)^{3/2}}{11 \sqrt{1-2 x}}+\frac{69}{55} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}+\frac{24}{25} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{1597}{50} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{7 \sqrt{5 x+3} (3 x+2)^{3/2}}{11 \sqrt{1-2 x}}+\frac{69}{55} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}+\frac{24}{25} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{1597}{50} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(69*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/55 + (7*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/(11*Sqrt[1 - 2*x]) + (1597*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/50 + (24*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/25","A",5,5,28,0.1786,1,"{98, 154, 158, 113, 119}"
2920,1,98,0,0.0271569,"\int \frac{(2+3 x)^{3/2}}{(1-2 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^(3/2)/((1 - 2*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{3 x+2} \sqrt{5 x+3}}{11 \sqrt{1-2 x}}+\frac{1}{5} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{34}{5} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{7 \sqrt{3 x+2} \sqrt{5 x+3}}{11 \sqrt{1-2 x}}+\frac{1}{5} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{34}{5} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(7*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(11*Sqrt[1 - 2*x]) + (34*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5 + (Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5","A",4,4,28,0.1429,1,"{98, 158, 113, 119}"
2921,1,62,0,0.0150094,"\int \frac{\sqrt{2+3 x}}{(1-2 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[Sqrt[2 + 3*x]/((1 - 2*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{2 \sqrt{3 x+2} \sqrt{5 x+3}}{11 \sqrt{1-2 x}}+\sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{2 \sqrt{3 x+2} \sqrt{5 x+3}}{11 \sqrt{1-2 x}}+\sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(11*Sqrt[1 - 2*x]) + Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33]","A",3,3,28,0.1071,1,"{99, 21, 113}"
2922,1,81,0,0.0232588,"\int \frac{1}{(1-2 x)^{3/2} \sqrt{2+3 x} \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]),x]","\frac{4 \sqrt{3 x+2} \sqrt{5 x+3}}{77 \sqrt{1-2 x}}+\frac{2 \sqrt{\frac{5}{7}} \sqrt{-5 x-3} E\left(\sin ^{-1}\left(\sqrt{5} \sqrt{3 x+2}\right)|\frac{2}{35}\right)}{11 \sqrt{5 x+3}}","\frac{4 \sqrt{3 x+2} \sqrt{5 x+3}}{77 \sqrt{1-2 x}}+\frac{2 \sqrt{\frac{5}{7}} \sqrt{-5 x-3} E\left(\sin ^{-1}\left(\sqrt{5} \sqrt{3 x+2}\right)|\frac{2}{35}\right)}{11 \sqrt{5 x+3}}",1,"(4*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(77*Sqrt[1 - 2*x]) + (2*Sqrt[5/7]*Sqrt[-3 - 5*x]*EllipticE[ArcSin[Sqrt[5]*Sqrt[2 + 3*x]], 2/35])/(11*Sqrt[3 + 5*x])","A",4,4,28,0.1429,1,"{104, 21, 114, 113}"
2923,1,129,0,0.0400834,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{186 \sqrt{1-2 x} \sqrt{5 x+3}}{539 \sqrt{3 x+2}}+\frac{4 \sqrt{5 x+3}}{77 \sqrt{1-2 x} \sqrt{3 x+2}}-\frac{8}{49} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{62}{49} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{186 \sqrt{1-2 x} \sqrt{5 x+3}}{539 \sqrt{3 x+2}}+\frac{4 \sqrt{5 x+3}}{77 \sqrt{1-2 x} \sqrt{3 x+2}}-\frac{8}{49} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{62}{49} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(4*Sqrt[3 + 5*x])/(77*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]) + (186*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(539*Sqrt[2 + 3*x]) - (62*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/49 - (8*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/49","A",5,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2924,1,160,0,0.0518215,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{5256 \sqrt{1-2 x} \sqrt{5 x+3}}{3773 \sqrt{3 x+2}}+\frac{54 \sqrt{1-2 x} \sqrt{5 x+3}}{539 (3 x+2)^{3/2}}+\frac{4 \sqrt{5 x+3}}{77 \sqrt{1-2 x} (3 x+2)^{3/2}}-\frac{68}{343} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{1752}{343} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{5256 \sqrt{1-2 x} \sqrt{5 x+3}}{3773 \sqrt{3 x+2}}+\frac{54 \sqrt{1-2 x} \sqrt{5 x+3}}{539 (3 x+2)^{3/2}}+\frac{4 \sqrt{5 x+3}}{77 \sqrt{1-2 x} (3 x+2)^{3/2}}-\frac{68}{343} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{1752}{343} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(4*Sqrt[3 + 5*x])/(77*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)) + (54*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(539*(2 + 3*x)^(3/2)) + (5256*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3773*Sqrt[2 + 3*x]) - (1752*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/343 - (68*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/343","A",6,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2925,1,191,0,0.066021,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^{7/2} \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^(7/2)*Sqrt[3 + 5*x]),x]","\frac{733812 \sqrt{1-2 x} \sqrt{5 x+3}}{132055 \sqrt{3 x+2}}+\frac{10308 \sqrt{1-2 x} \sqrt{5 x+3}}{18865 (3 x+2)^{3/2}}+\frac{138 \sqrt{1-2 x} \sqrt{5 x+3}}{2695 (3 x+2)^{5/2}}+\frac{4 \sqrt{5 x+3}}{77 \sqrt{1-2 x} (3 x+2)^{5/2}}-\frac{7536 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12005}-\frac{244604 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12005}","\frac{733812 \sqrt{1-2 x} \sqrt{5 x+3}}{132055 \sqrt{3 x+2}}+\frac{10308 \sqrt{1-2 x} \sqrt{5 x+3}}{18865 (3 x+2)^{3/2}}+\frac{138 \sqrt{1-2 x} \sqrt{5 x+3}}{2695 (3 x+2)^{5/2}}+\frac{4 \sqrt{5 x+3}}{77 \sqrt{1-2 x} (3 x+2)^{5/2}}-\frac{7536 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12005}-\frac{244604 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12005}",1,"(4*Sqrt[3 + 5*x])/(77*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)) + (138*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2695*(2 + 3*x)^(5/2)) + (10308*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(18865*(2 + 3*x)^(3/2)) + (733812*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(132055*Sqrt[2 + 3*x]) - (244604*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/12005 - (7536*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/12005","A",7,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2926,1,191,0,0.0673624,"\int \frac{(2+3 x)^{9/2}}{(1-2 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^(9/2)/((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)),x]","\frac{7 (3 x+2)^{7/2}}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{37 \sqrt{1-2 x} (3 x+2)^{5/2}}{605 \sqrt{5 x+3}}+\frac{10851 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{15125}+\frac{502941 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{151250}+\frac{175111 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{68750}+\frac{2911577 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{34375}","\frac{7 (3 x+2)^{7/2}}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{37 \sqrt{1-2 x} (3 x+2)^{5/2}}{605 \sqrt{5 x+3}}+\frac{10851 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{15125}+\frac{502941 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{151250}+\frac{175111 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{68750}+\frac{2911577 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{34375}",1,"(-37*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(605*Sqrt[3 + 5*x]) + (7*(2 + 3*x)^(7/2))/(11*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) + (502941*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/151250 + (10851*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/15125 + (2911577*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/34375 + (175111*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/68750","A",7,6,28,0.2143,1,"{98, 150, 154, 158, 113, 119}"
2927,1,160,0,0.0508225,"\int \frac{(2+3 x)^{7/2}}{(1-2 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^(7/2)/((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)),x]","\frac{7 (3 x+2)^{5/2}}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{37 \sqrt{1-2 x} (3 x+2)^{3/2}}{605 \sqrt{5 x+3}}+\frac{2388 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{3025}+\frac{823 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1375}+\frac{55019 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2750}","\frac{7 (3 x+2)^{5/2}}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{37 \sqrt{1-2 x} (3 x+2)^{3/2}}{605 \sqrt{5 x+3}}+\frac{2388 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{3025}+\frac{823 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1375}+\frac{55019 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2750}",1,"(-37*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(605*Sqrt[3 + 5*x]) + (7*(2 + 3*x)^(5/2))/(11*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) + (2388*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/3025 + (55019*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2750 + (823*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/1375","A",6,6,28,0.2143,1,"{98, 150, 154, 158, 113, 119}"
2928,1,129,0,0.0372798,"\int \frac{(2+3 x)^{5/2}}{(1-2 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^(5/2)/((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)),x]","\frac{7 (3 x+2)^{3/2}}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{37 \sqrt{1-2 x} \sqrt{3 x+2}}{605 \sqrt{5 x+3}}+\frac{31}{275} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{1159}{275} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{7 (3 x+2)^{3/2}}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{37 \sqrt{1-2 x} \sqrt{3 x+2}}{605 \sqrt{5 x+3}}+\frac{31}{275} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{1159}{275} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-37*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(605*Sqrt[3 + 5*x]) + (7*(2 + 3*x)^(3/2))/(11*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) + (1159*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/275 + (31*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/275","A",5,5,28,0.1786,1,"{98, 150, 158, 113, 119}"
2929,1,129,0,0.0377352,"\int \frac{(2+3 x)^{3/2}}{(1-2 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^(3/2)/((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)),x]","-\frac{37 \sqrt{1-2 x} \sqrt{3 x+2}}{121 \sqrt{5 x+3}}+\frac{7 \sqrt{3 x+2}}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{2}{55} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{37}{55} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{37 \sqrt{1-2 x} \sqrt{3 x+2}}{121 \sqrt{5 x+3}}+\frac{7 \sqrt{3 x+2}}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{2}{55} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{37}{55} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(7*Sqrt[2 + 3*x])/(11*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (37*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(121*Sqrt[3 + 5*x]) + (37*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/55 - (2*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/55","A",5,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2930,1,129,0,0.0406266,"\int \frac{\sqrt{2+3 x}}{(1-2 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[Sqrt[2 + 3*x]/((1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)),x]","-\frac{20 \sqrt{1-2 x} \sqrt{3 x+2}}{121 \sqrt{5 x+3}}+\frac{2 \sqrt{3 x+2}}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{2}{11} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{4}{11} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{20 \sqrt{1-2 x} \sqrt{3 x+2}}{121 \sqrt{5 x+3}}+\frac{2 \sqrt{3 x+2}}{11 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{2}{11} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{4}{11} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(2*Sqrt[2 + 3*x])/(11*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (20*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(121*Sqrt[3 + 5*x]) + (4*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/11 - (2*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/11","A",5,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2931,1,129,0,0.0383129,"\int \frac{1}{(1-2 x)^{3/2} \sqrt{2+3 x} (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)),x]","-\frac{370 \sqrt{1-2 x} \sqrt{3 x+2}}{847 \sqrt{5 x+3}}+\frac{4 \sqrt{3 x+2}}{77 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{4}{77} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{74}{77} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{370 \sqrt{1-2 x} \sqrt{3 x+2}}{847 \sqrt{5 x+3}}+\frac{4 \sqrt{3 x+2}}{77 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{4}{77} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{74}{77} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(4*Sqrt[2 + 3*x])/(77*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (370*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(847*Sqrt[3 + 5*x]) + (74*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/77 - (4*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/77","A",5,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2932,1,160,0,0.0509455,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)),x]","-\frac{23180 \sqrt{1-2 x} \sqrt{3 x+2}}{5929 \sqrt{5 x+3}}+\frac{186 \sqrt{1-2 x}}{539 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{4}{77 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{124}{539} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{4636}{539} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{23180 \sqrt{1-2 x} \sqrt{3 x+2}}{5929 \sqrt{5 x+3}}+\frac{186 \sqrt{1-2 x}}{539 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{4}{77 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{124}{539} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)+\frac{4636}{539} \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"4/(77*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) + (186*Sqrt[1 - 2*x])/(539*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (23180*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(5929*Sqrt[3 + 5*x]) + (4636*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/539 + (124*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/539","A",6,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2933,1,191,0,0.0672827,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)),x]","-\frac{1100380 \sqrt{1-2 x} \sqrt{3 x+2}}{41503 \sqrt{5 x+3}}+\frac{9876 \sqrt{1-2 x}}{3773 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{54 \sqrt{1-2 x}}{539 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{4}{77 \sqrt{1-2 x} (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{6584 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3773}+\frac{220076 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3773}","-\frac{1100380 \sqrt{1-2 x} \sqrt{3 x+2}}{41503 \sqrt{5 x+3}}+\frac{9876 \sqrt{1-2 x}}{3773 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{54 \sqrt{1-2 x}}{539 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{4}{77 \sqrt{1-2 x} (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{6584 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3773}+\frac{220076 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3773}",1,"4/(77*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (54*Sqrt[1 - 2*x])/(539*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (9876*Sqrt[1 - 2*x])/(3773*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (1100380*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(41503*Sqrt[3 + 5*x]) + (220076*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3773 + (6584*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3773","A",7,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2934,1,222,0,0.0818852,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^{7/2} (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^(7/2)*(3 + 5*x)^(3/2)),x]","-\frac{46585232 \sqrt{1-2 x} \sqrt{3 x+2}}{290521 \sqrt{5 x+3}}+\frac{2101332 \sqrt{1-2 x}}{132055 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{14928 \sqrt{1-2 x}}{18865 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{138 \sqrt{1-2 x}}{2695 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{4}{77 \sqrt{1-2 x} (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{1400888 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{132055}+\frac{46585232 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{132055}","-\frac{46585232 \sqrt{1-2 x} \sqrt{3 x+2}}{290521 \sqrt{5 x+3}}+\frac{2101332 \sqrt{1-2 x}}{132055 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{14928 \sqrt{1-2 x}}{18865 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{138 \sqrt{1-2 x}}{2695 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{4}{77 \sqrt{1-2 x} (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{1400888 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{132055}+\frac{46585232 \sqrt{\frac{3}{11}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{132055}",1,"4/(77*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]) + (138*Sqrt[1 - 2*x])/(2695*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]) + (14928*Sqrt[1 - 2*x])/(18865*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (2101332*Sqrt[1 - 2*x])/(132055*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (46585232*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(290521*Sqrt[3 + 5*x]) + (46585232*Sqrt[3/11]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/132055 + (1400888*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/132055","A",8,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2935,1,218,0,0.0810254,"\int \frac{(2+3 x)^{11/2}}{(1-2 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(11/2)/((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^{9/2}}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{107 \sqrt{1-2 x} (3 x+2)^{7/2}}{1815 (5 x+3)^{3/2}}-\frac{4553 \sqrt{1-2 x} (3 x+2)^{5/2}}{99825 \sqrt{5 x+3}}+\frac{380188 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{831875}+\frac{17427983 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{8318750}+\frac{18177329 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3781250 \sqrt{33}}+\frac{604915631 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3781250 \sqrt{33}}","\frac{7 (3 x+2)^{9/2}}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{107 \sqrt{1-2 x} (3 x+2)^{7/2}}{1815 (5 x+3)^{3/2}}-\frac{4553 \sqrt{1-2 x} (3 x+2)^{5/2}}{99825 \sqrt{5 x+3}}+\frac{380188 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{831875}+\frac{17427983 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{8318750}+\frac{18177329 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3781250 \sqrt{33}}+\frac{604915631 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3781250 \sqrt{33}}",1,"(-107*Sqrt[1 - 2*x]*(2 + 3*x)^(7/2))/(1815*(3 + 5*x)^(3/2)) + (7*(2 + 3*x)^(9/2))/(11*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (4553*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(99825*Sqrt[3 + 5*x]) + (17427983*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/8318750 + (380188*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/831875 + (604915631*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(3781250*Sqrt[33]) + (18177329*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(3781250*Sqrt[33])","A",8,6,28,0.2143,1,"{98, 150, 154, 158, 113, 119}"
2936,1,187,0,0.0650503,"\int \frac{(2+3 x)^{9/2}}{(1-2 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(9/2)/((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^{7/2}}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{107 \sqrt{1-2 x} (3 x+2)^{5/2}}{1815 (5 x+3)^{3/2}}-\frac{4421 \sqrt{1-2 x} (3 x+2)^{3/2}}{99825 \sqrt{5 x+3}}+\frac{83093 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{166375}+\frac{84134 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{75625 \sqrt{33}}+\frac{5684677 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{151250 \sqrt{33}}","\frac{7 (3 x+2)^{7/2}}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{107 \sqrt{1-2 x} (3 x+2)^{5/2}}{1815 (5 x+3)^{3/2}}-\frac{4421 \sqrt{1-2 x} (3 x+2)^{3/2}}{99825 \sqrt{5 x+3}}+\frac{83093 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{166375}+\frac{84134 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{75625 \sqrt{33}}+\frac{5684677 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{151250 \sqrt{33}}",1,"(-107*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(1815*(3 + 5*x)^(3/2)) + (7*(2 + 3*x)^(7/2))/(11*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (4421*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(99825*Sqrt[3 + 5*x]) + (83093*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/166375 + (5684677*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(151250*Sqrt[33]) + (84134*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(75625*Sqrt[33])","A",7,6,28,0.2143,1,"{98, 150, 154, 158, 113, 119}"
2937,1,156,0,0.050084,"\int \frac{(2+3 x)^{7/2}}{(1-2 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(7/2)/((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^{5/2}}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{107 \sqrt{1-2 x} (3 x+2)^{3/2}}{1815 (5 x+3)^{3/2}}-\frac{4289 \sqrt{1-2 x} \sqrt{3 x+2}}{99825 \sqrt{5 x+3}}+\frac{2657 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15125 \sqrt{33}}+\frac{118898 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15125 \sqrt{33}}","\frac{7 (3 x+2)^{5/2}}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{107 \sqrt{1-2 x} (3 x+2)^{3/2}}{1815 (5 x+3)^{3/2}}-\frac{4289 \sqrt{1-2 x} \sqrt{3 x+2}}{99825 \sqrt{5 x+3}}+\frac{2657 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15125 \sqrt{33}}+\frac{118898 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{15125 \sqrt{33}}",1,"(-107*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(1815*(3 + 5*x)^(3/2)) + (7*(2 + 3*x)^(5/2))/(11*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (4289*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(99825*Sqrt[3 + 5*x]) + (118898*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(15125*Sqrt[33]) + (2657*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(15125*Sqrt[33])","A",6,5,28,0.1786,1,"{98, 150, 158, 113, 119}"
2938,1,156,0,0.0527488,"\int \frac{(2+3 x)^{5/2}}{(1-2 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(5/2)/((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^{3/2}}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{4157 \sqrt{1-2 x} \sqrt{3 x+2}}{19965 \sqrt{5 x+3}}-\frac{107 \sqrt{1-2 x} \sqrt{3 x+2}}{1815 (5 x+3)^{3/2}}-\frac{412 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3025 \sqrt{33}}+\frac{4157 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3025 \sqrt{33}}","\frac{7 (3 x+2)^{3/2}}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{4157 \sqrt{1-2 x} \sqrt{3 x+2}}{19965 \sqrt{5 x+3}}-\frac{107 \sqrt{1-2 x} \sqrt{3 x+2}}{1815 (5 x+3)^{3/2}}-\frac{412 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3025 \sqrt{33}}+\frac{4157 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3025 \sqrt{33}}",1,"(-107*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(1815*(3 + 5*x)^(3/2)) + (7*(2 + 3*x)^(3/2))/(11*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (4157*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(19965*Sqrt[3 + 5*x]) + (4157*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(3025*Sqrt[33]) - (412*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(3025*Sqrt[33])","A",6,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2939,1,156,0,0.0501879,"\int \frac{(2+3 x)^{3/2}}{(1-2 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(3/2)/((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2)),x]","-\frac{494 \sqrt{1-2 x} \sqrt{3 x+2}}{3993 \sqrt{5 x+3}}-\frac{107 \sqrt{1-2 x} \sqrt{3 x+2}}{363 (5 x+3)^{3/2}}+\frac{7 \sqrt{3 x+2}}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{214 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{605 \sqrt{33}}+\frac{494 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{605 \sqrt{33}}","-\frac{494 \sqrt{1-2 x} \sqrt{3 x+2}}{3993 \sqrt{5 x+3}}-\frac{107 \sqrt{1-2 x} \sqrt{3 x+2}}{363 (5 x+3)^{3/2}}+\frac{7 \sqrt{3 x+2}}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{214 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{605 \sqrt{33}}+\frac{494 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{605 \sqrt{33}}",1,"(7*Sqrt[2 + 3*x])/(11*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (107*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(363*(3 + 5*x)^(3/2)) - (494*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3993*Sqrt[3 + 5*x]) + (494*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(605*Sqrt[33]) - (214*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(605*Sqrt[33])","A",6,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2940,1,156,0,0.0501328,"\int \frac{\sqrt{2+3 x}}{(1-2 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[Sqrt[2 + 3*x]/((1 - 2*x)^(3/2)*(3 + 5*x)^(5/2)),x]","-\frac{490 \sqrt{1-2 x} \sqrt{3 x+2}}{3993 \sqrt{5 x+3}}-\frac{40 \sqrt{1-2 x} \sqrt{3 x+2}}{363 (5 x+3)^{3/2}}+\frac{2 \sqrt{3 x+2}}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{16 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{121 \sqrt{33}}+\frac{98 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{121 \sqrt{33}}","-\frac{490 \sqrt{1-2 x} \sqrt{3 x+2}}{3993 \sqrt{5 x+3}}-\frac{40 \sqrt{1-2 x} \sqrt{3 x+2}}{363 (5 x+3)^{3/2}}+\frac{2 \sqrt{3 x+2}}{11 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{16 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{121 \sqrt{33}}+\frac{98 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{121 \sqrt{33}}",1,"(2*Sqrt[2 + 3*x])/(11*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (40*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(363*(3 + 5*x)^(3/2)) - (490*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3993*Sqrt[3 + 5*x]) + (98*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(121*Sqrt[33]) - (16*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(121*Sqrt[33])","A",6,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2941,1,156,0,0.0520021,"\int \frac{1}{(1-2 x)^{3/2} \sqrt{2+3 x} (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2)),x]","\frac{19480 \sqrt{1-2 x} \sqrt{3 x+2}}{27951 \sqrt{5 x+3}}-\frac{410 \sqrt{1-2 x} \sqrt{3 x+2}}{2541 (5 x+3)^{3/2}}+\frac{4 \sqrt{3 x+2}}{77 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{164 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{847 \sqrt{33}}-\frac{3896 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{847 \sqrt{33}}","\frac{19480 \sqrt{1-2 x} \sqrt{3 x+2}}{27951 \sqrt{5 x+3}}-\frac{410 \sqrt{1-2 x} \sqrt{3 x+2}}{2541 (5 x+3)^{3/2}}+\frac{4 \sqrt{3 x+2}}{77 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{164 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{847 \sqrt{33}}-\frac{3896 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{847 \sqrt{33}}",1,"(4*Sqrt[2 + 3*x])/(77*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (410*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(2541*(3 + 5*x)^(3/2)) + (19480*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(27951*Sqrt[3 + 5*x]) - (3896*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(847*Sqrt[33]) - (164*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(847*Sqrt[33])","A",6,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2942,1,187,0,0.0661951,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2)),x]","\frac{2976620 \sqrt{1-2 x} \sqrt{3 x+2}}{195657 \sqrt{5 x+3}}-\frac{45040 \sqrt{1-2 x} \sqrt{3 x+2}}{17787 (5 x+3)^{3/2}}+\frac{186 \sqrt{1-2 x}}{539 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{4}{77 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}-\frac{18016 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5929 \sqrt{33}}-\frac{595324 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5929 \sqrt{33}}","\frac{2976620 \sqrt{1-2 x} \sqrt{3 x+2}}{195657 \sqrt{5 x+3}}-\frac{45040 \sqrt{1-2 x} \sqrt{3 x+2}}{17787 (5 x+3)^{3/2}}+\frac{186 \sqrt{1-2 x}}{539 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{4}{77 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}-\frac{18016 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5929 \sqrt{33}}-\frac{595324 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5929 \sqrt{33}}",1,"4/(77*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) + (186*Sqrt[1 - 2*x])/(539*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (45040*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(17787*(3 + 5*x)^(3/2)) + (2976620*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(195657*Sqrt[3 + 5*x]) - (595324*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(5929*Sqrt[33]) - (18016*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(5929*Sqrt[33])","A",7,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2943,1,218,0,0.0794264,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{213119320 \sqrt{1-2 x} \sqrt{3 x+2}}{1369599 \sqrt{5 x+3}}-\frac{3205940 \sqrt{1-2 x} \sqrt{3 x+2}}{124509 (5 x+3)^{3/2}}+\frac{14496 \sqrt{1-2 x}}{3773 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{54 \sqrt{1-2 x}}{539 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{4}{77 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{3/2}}-\frac{1282376 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{41503 \sqrt{33}}-\frac{42623864 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{41503 \sqrt{33}}","\frac{213119320 \sqrt{1-2 x} \sqrt{3 x+2}}{1369599 \sqrt{5 x+3}}-\frac{3205940 \sqrt{1-2 x} \sqrt{3 x+2}}{124509 (5 x+3)^{3/2}}+\frac{14496 \sqrt{1-2 x}}{3773 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{54 \sqrt{1-2 x}}{539 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{4}{77 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{3/2}}-\frac{1282376 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{41503 \sqrt{33}}-\frac{42623864 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{41503 \sqrt{33}}",1,"4/(77*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (54*Sqrt[1 - 2*x])/(539*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (14496*Sqrt[1 - 2*x])/(3773*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (3205940*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(124509*(3 + 5*x)^(3/2)) + (213119320*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(1369599*Sqrt[3 + 5*x]) - (42623864*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(41503*Sqrt[33]) - (1282376*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(41503*Sqrt[33])","A",8,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2944,1,249,0,0.0999338,"\int \frac{1}{(1-2 x)^{3/2} (2+3 x)^{7/2} (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(3/2)*(2 + 3*x)^(7/2)*(3 + 5*x)^(5/2)),x]","\frac{12071114168 \sqrt{1-2 x} \sqrt{3 x+2}}{9587193 \sqrt{5 x+3}}-\frac{181551856 \sqrt{1-2 x} \sqrt{3 x+2}}{871563 (5 x+3)^{3/2}}+\frac{4115652 \sqrt{1-2 x}}{132055 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{19548 \sqrt{1-2 x}}{18865 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{138 \sqrt{1-2 x}}{2695 (3 x+2)^{5/2} (5 x+3)^{3/2}}+\frac{4}{77 \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{3/2}}-\frac{363103712 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1452605 \sqrt{33}}-\frac{12071114168 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1452605 \sqrt{33}}","\frac{12071114168 \sqrt{1-2 x} \sqrt{3 x+2}}{9587193 \sqrt{5 x+3}}-\frac{181551856 \sqrt{1-2 x} \sqrt{3 x+2}}{871563 (5 x+3)^{3/2}}+\frac{4115652 \sqrt{1-2 x}}{132055 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{19548 \sqrt{1-2 x}}{18865 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{138 \sqrt{1-2 x}}{2695 (3 x+2)^{5/2} (5 x+3)^{3/2}}+\frac{4}{77 \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{3/2}}-\frac{363103712 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1452605 \sqrt{33}}-\frac{12071114168 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1452605 \sqrt{33}}",1,"4/(77*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)) + (138*Sqrt[1 - 2*x])/(2695*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)) + (19548*Sqrt[1 - 2*x])/(18865*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (4115652*Sqrt[1 - 2*x])/(132055*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (181551856*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(871563*(3 + 5*x)^(3/2)) + (12071114168*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(9587193*Sqrt[3 + 5*x]) - (12071114168*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1452605*Sqrt[33]) - (363103712*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1452605*Sqrt[33])","A",9,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2945,1,218,0,0.0803666,"\int \frac{(2+3 x)^{9/2} \sqrt{3+5 x}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^(9/2)*Sqrt[3 + 5*x])/(1 - 2*x)^(5/2),x]","\frac{\sqrt{5 x+3} (3 x+2)^{9/2}}{3 (1-2 x)^{3/2}}-\frac{166 \sqrt{5 x+3} (3 x+2)^{7/2}}{33 \sqrt{1-2 x}}-\frac{1327}{154} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}-\frac{139163 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{3850}-\frac{6478333 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{38500}-\frac{6770629 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{17500 \sqrt{33}}-\frac{112543103 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8750 \sqrt{33}}","\frac{\sqrt{5 x+3} (3 x+2)^{9/2}}{3 (1-2 x)^{3/2}}-\frac{166 \sqrt{5 x+3} (3 x+2)^{7/2}}{33 \sqrt{1-2 x}}-\frac{1327}{154} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{5/2}-\frac{139163 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{3850}-\frac{6478333 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{38500}-\frac{6770629 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{17500 \sqrt{33}}-\frac{112543103 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{8750 \sqrt{33}}",1,"(-6478333*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/38500 - (139163*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/3850 - (1327*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/154 - (166*(2 + 3*x)^(7/2)*Sqrt[3 + 5*x])/(33*Sqrt[1 - 2*x]) + ((2 + 3*x)^(9/2)*Sqrt[3 + 5*x])/(3*(1 - 2*x)^(3/2)) - (112543103*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(8750*Sqrt[33]) - (6770629*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(17500*Sqrt[33])","A",8,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2946,1,187,0,0.0634782,"\int \frac{(2+3 x)^{7/2} \sqrt{3+5 x}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^(7/2)*Sqrt[3 + 5*x])/(1 - 2*x)^(5/2),x]","\frac{\sqrt{5 x+3} (3 x+2)^{7/2}}{3 (1-2 x)^{3/2}}-\frac{133 \sqrt{5 x+3} (3 x+2)^{5/2}}{33 \sqrt{1-2 x}}-\frac{797}{110} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{18551}{550} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{9694 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{125 \sqrt{33}}-\frac{1289089 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{500 \sqrt{33}}","\frac{\sqrt{5 x+3} (3 x+2)^{7/2}}{3 (1-2 x)^{3/2}}-\frac{133 \sqrt{5 x+3} (3 x+2)^{5/2}}{33 \sqrt{1-2 x}}-\frac{797}{110} \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}-\frac{18551}{550} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{9694 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{125 \sqrt{33}}-\frac{1289089 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{500 \sqrt{33}}",1,"(-18551*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/550 - (797*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/110 - (133*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/(33*Sqrt[1 - 2*x]) + ((2 + 3*x)^(7/2)*Sqrt[3 + 5*x])/(3*(1 - 2*x)^(3/2)) - (1289089*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(500*Sqrt[33]) - (9694*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(125*Sqrt[33])","A",7,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2947,1,156,0,0.0510547,"\int \frac{(2+3 x)^{5/2} \sqrt{3+5 x}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/(1 - 2*x)^(5/2),x]","\frac{\sqrt{5 x+3} (3 x+2)^{5/2}}{3 (1-2 x)^{3/2}}-\frac{100 \sqrt{5 x+3} (3 x+2)^{3/2}}{33 \sqrt{1-2 x}}-\frac{133}{22} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{139 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{10 \sqrt{33}}-\frac{4621 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{10 \sqrt{33}}","\frac{\sqrt{5 x+3} (3 x+2)^{5/2}}{3 (1-2 x)^{3/2}}-\frac{100 \sqrt{5 x+3} (3 x+2)^{3/2}}{33 \sqrt{1-2 x}}-\frac{133}{22} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{139 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{10 \sqrt{33}}-\frac{4621 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{10 \sqrt{33}}",1,"(-133*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/22 - (100*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/(33*Sqrt[1 - 2*x]) + ((2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/(3*(1 - 2*x)^(3/2)) - (4621*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(10*Sqrt[33]) - (139*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(10*Sqrt[33])","A",6,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2948,1,123,0,0.0375271,"\int \frac{(2+3 x)^{3/2} \sqrt{3+5 x}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/(1 - 2*x)^(5/2),x]","\frac{\sqrt{5 x+3} (3 x+2)^{3/2}}{3 (1-2 x)^{3/2}}-\frac{67 \sqrt{5 x+3} \sqrt{3 x+2}}{33 \sqrt{1-2 x}}-\frac{2 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{\sqrt{33}}-\frac{133 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2 \sqrt{33}}","\frac{\sqrt{5 x+3} (3 x+2)^{3/2}}{3 (1-2 x)^{3/2}}-\frac{67 \sqrt{5 x+3} \sqrt{3 x+2}}{33 \sqrt{1-2 x}}-\frac{2 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{\sqrt{33}}-\frac{133 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2 \sqrt{33}}",1,"(-67*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(33*Sqrt[1 - 2*x]) + ((2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/(3*(1 - 2*x)^(3/2)) - (133*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(2*Sqrt[33]) - (2*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/Sqrt[33]","A",5,5,28,0.1786,1,"{97, 150, 158, 113, 119}"
2949,1,125,0,0.0403479,"\int \frac{\sqrt{2+3 x} \sqrt{3+5 x}}{(1-2 x)^{5/2}} \, dx","Int[(Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(1 - 2*x)^(5/2),x]","-\frac{68 \sqrt{3 x+2} \sqrt{5 x+3}}{231 \sqrt{1-2 x}}+\frac{\sqrt{3 x+2} \sqrt{5 x+3}}{3 (1-2 x)^{3/2}}-\frac{F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7 \sqrt{33}}-\frac{34 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7 \sqrt{33}}","-\frac{68 \sqrt{3 x+2} \sqrt{5 x+3}}{231 \sqrt{1-2 x}}+\frac{\sqrt{3 x+2} \sqrt{5 x+3}}{3 (1-2 x)^{3/2}}-\frac{F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7 \sqrt{33}}-\frac{34 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7 \sqrt{33}}",1,"(Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(3*(1 - 2*x)^(3/2)) - (68*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(231*Sqrt[1 - 2*x]) - (34*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(7*Sqrt[33]) - EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33]/(7*Sqrt[33])","A",5,5,28,0.1786,1,"{97, 152, 158, 113, 119}"
2950,1,125,0,0.0395001,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{5/2} \sqrt{2+3 x}} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(5/2)*Sqrt[2 + 3*x]),x]","\frac{62 \sqrt{3 x+2} \sqrt{5 x+3}}{1617 \sqrt{1-2 x}}+\frac{2 \sqrt{3 x+2} \sqrt{5 x+3}}{21 (1-2 x)^{3/2}}+\frac{4 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{49 \sqrt{33}}+\frac{31 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{49 \sqrt{33}}","\frac{62 \sqrt{3 x+2} \sqrt{5 x+3}}{1617 \sqrt{1-2 x}}+\frac{2 \sqrt{3 x+2} \sqrt{5 x+3}}{21 (1-2 x)^{3/2}}+\frac{4 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{49 \sqrt{33}}+\frac{31 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{49 \sqrt{33}}",1,"(2*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(21*(1 - 2*x)^(3/2)) + (62*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(1617*Sqrt[1 - 2*x]) + (31*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(49*Sqrt[33]) + (4*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(49*Sqrt[33])","A",5,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2951,1,156,0,0.0492778,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{5/2} (2+3 x)^{3/2}} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(5/2)*(2 + 3*x)^(3/2)),x]","-\frac{458 \sqrt{1-2 x} \sqrt{5 x+3}}{3773 \sqrt{3 x+2}}+\frac{194 \sqrt{5 x+3}}{1617 \sqrt{1-2 x} \sqrt{3 x+2}}+\frac{2 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} \sqrt{3 x+2}}-\frac{178 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{343 \sqrt{33}}+\frac{458 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{343 \sqrt{33}}","-\frac{458 \sqrt{1-2 x} \sqrt{5 x+3}}{3773 \sqrt{3 x+2}}+\frac{194 \sqrt{5 x+3}}{1617 \sqrt{1-2 x} \sqrt{3 x+2}}+\frac{2 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} \sqrt{3 x+2}}-\frac{178 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{343 \sqrt{33}}+\frac{458 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{343 \sqrt{33}}",1,"(2*Sqrt[3 + 5*x])/(21*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]) + (194*Sqrt[3 + 5*x])/(1617*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]) - (458*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3773*Sqrt[2 + 3*x]) + (458*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(343*Sqrt[33]) - (178*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(343*Sqrt[33])","A",6,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2952,1,187,0,0.0663539,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{5/2} (2+3 x)^{5/2}} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(5/2)*(2 + 3*x)^(5/2)),x]","\frac{338 \sqrt{1-2 x} \sqrt{5 x+3}}{26411 \sqrt{3 x+2}}-\frac{458 \sqrt{1-2 x} \sqrt{5 x+3}}{3773 (3 x+2)^{3/2}}+\frac{326 \sqrt{5 x+3}}{1617 \sqrt{1-2 x} (3 x+2)^{3/2}}+\frac{2 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^{3/2}}-\frac{992 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2401 \sqrt{33}}-\frac{338 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2401 \sqrt{33}}","\frac{338 \sqrt{1-2 x} \sqrt{5 x+3}}{26411 \sqrt{3 x+2}}-\frac{458 \sqrt{1-2 x} \sqrt{5 x+3}}{3773 (3 x+2)^{3/2}}+\frac{326 \sqrt{5 x+3}}{1617 \sqrt{1-2 x} (3 x+2)^{3/2}}+\frac{2 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^{3/2}}-\frac{992 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2401 \sqrt{33}}-\frac{338 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2401 \sqrt{33}}",1,"(2*Sqrt[3 + 5*x])/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)) + (326*Sqrt[3 + 5*x])/(1617*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)) - (458*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(3773*(2 + 3*x)^(3/2)) + (338*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(26411*Sqrt[2 + 3*x]) - (338*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(2401*Sqrt[33]) - (992*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(2401*Sqrt[33])","A",7,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2953,1,220,0,0.0781987,"\int \frac{\sqrt{3+5 x}}{(1-2 x)^{5/2} (2+3 x)^{7/2}} \, dx","Int[Sqrt[3 + 5*x]/((1 - 2*x)^(5/2)*(2 + 3*x)^(7/2)),x]","\frac{189368 \sqrt{1-2 x} \sqrt{5 x+3}}{924385 \sqrt{3 x+2}}-\frac{5438 \sqrt{1-2 x} \sqrt{5 x+3}}{132055 (3 x+2)^{3/2}}-\frac{2818 \sqrt{1-2 x} \sqrt{5 x+3}}{18865 (3 x+2)^{5/2}}+\frac{458 \sqrt{5 x+3}}{1617 \sqrt{1-2 x} (3 x+2)^{5/2}}+\frac{2 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^{5/2}}-\frac{2092 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{84035}-\frac{189368 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{84035 \sqrt{33}}","\frac{189368 \sqrt{1-2 x} \sqrt{5 x+3}}{924385 \sqrt{3 x+2}}-\frac{5438 \sqrt{1-2 x} \sqrt{5 x+3}}{132055 (3 x+2)^{3/2}}-\frac{2818 \sqrt{1-2 x} \sqrt{5 x+3}}{18865 (3 x+2)^{5/2}}+\frac{458 \sqrt{5 x+3}}{1617 \sqrt{1-2 x} (3 x+2)^{5/2}}+\frac{2 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^{5/2}}-\frac{2092 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{84035}-\frac{189368 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{84035 \sqrt{33}}",1,"(2*Sqrt[3 + 5*x])/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)) + (458*Sqrt[3 + 5*x])/(1617*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)) - (2818*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(18865*(2 + 3*x)^(5/2)) - (5438*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(132055*(2 + 3*x)^(3/2)) + (189368*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(924385*Sqrt[2 + 3*x]) - (189368*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(84035*Sqrt[33]) - (2092*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/84035","A",8,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2954,1,222,0,0.0833216,"\int \frac{(2+3 x)^{7/2} (3+5 x)^{3/2}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^(7/2)*(3 + 5*x)^(3/2))/(1 - 2*x)^(5/2),x]","\frac{(5 x+3)^{3/2} (3 x+2)^{7/2}}{3 (1-2 x)^{3/2}}-\frac{56 (5 x+3)^{3/2} (3 x+2)^{5/2}}{11 \sqrt{1-2 x}}-\frac{1341}{154} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{3/2}-\frac{140289 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{3850}-\frac{2166399 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{7700}-\frac{722133 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3500}-\frac{6547351 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3500}","\frac{(5 x+3)^{3/2} (3 x+2)^{7/2}}{3 (1-2 x)^{3/2}}-\frac{56 (5 x+3)^{3/2} (3 x+2)^{5/2}}{11 \sqrt{1-2 x}}-\frac{1341}{154} \sqrt{1-2 x} (5 x+3)^{3/2} (3 x+2)^{3/2}-\frac{140289 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{3850}-\frac{2166399 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{7700}-\frac{722133 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3500}-\frac{6547351 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3500}",1,"(-2166399*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/7700 - (140289*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/3850 - (1341*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/154 - (56*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2))/(11*Sqrt[1 - 2*x]) + ((2 + 3*x)^(7/2)*(3 + 5*x)^(3/2))/(3*(1 - 2*x)^(3/2)) - (6547351*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3500 - (722133*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3500","A",8,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2955,1,191,0,0.0668303,"\int \frac{(2+3 x)^{5/2} (3+5 x)^{3/2}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^(5/2)*(3 + 5*x)^(3/2))/(1 - 2*x)^(5/2),x]","\frac{(5 x+3)^{3/2} (3 x+2)^{5/2}}{3 (1-2 x)^{3/2}}-\frac{45 (5 x+3)^{3/2} (3 x+2)^{3/2}}{11 \sqrt{1-2 x}}-\frac{807}{110} \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}-\frac{6231}{110} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{2077}{50} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{37663}{100} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{(5 x+3)^{3/2} (3 x+2)^{5/2}}{3 (1-2 x)^{3/2}}-\frac{45 (5 x+3)^{3/2} (3 x+2)^{3/2}}{11 \sqrt{1-2 x}}-\frac{807}{110} \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}-\frac{6231}{110} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{2077}{50} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{37663}{100} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-6231*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/110 - (807*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/110 - (45*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/(11*Sqrt[1 - 2*x]) + ((2 + 3*x)^(5/2)*(3 + 5*x)^(3/2))/(3*(1 - 2*x)^(3/2)) - (37663*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/100 - (2077*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/50","A",7,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2956,1,158,0,0.0531453,"\int \frac{(2+3 x)^{3/2} (3+5 x)^{3/2}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/(1 - 2*x)^(5/2),x]","\frac{(3 x+2)^{3/2} (5 x+3)^{3/2}}{3 (1-2 x)^{3/2}}-\frac{34 \sqrt{3 x+2} (5 x+3)^{3/2}}{11 \sqrt{1-2 x}}-\frac{225}{22} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{15}{2} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-68 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{(3 x+2)^{3/2} (5 x+3)^{3/2}}{3 (1-2 x)^{3/2}}-\frac{34 \sqrt{3 x+2} (5 x+3)^{3/2}}{11 \sqrt{1-2 x}}-\frac{225}{22} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{15}{2} \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-68 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-225*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/22 - (34*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/(11*Sqrt[1 - 2*x]) + ((2 + 3*x)^(3/2)*(3 + 5*x)^(3/2))/(3*(1 - 2*x)^(3/2)) - 68*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33] - (15*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2","A",6,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2957,1,127,0,0.0391326,"\int \frac{\sqrt{2+3 x} (3+5 x)^{3/2}}{(1-2 x)^{5/2}} \, dx","Int[(Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/(1 - 2*x)^(5/2),x]","\frac{\sqrt{3 x+2} (5 x+3)^{3/2}}{3 (1-2 x)^{3/2}}-\frac{23 \sqrt{3 x+2} \sqrt{5 x+3}}{7 \sqrt{1-2 x}}-\frac{23 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7 \sqrt{33}}-\frac{139}{14} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{\sqrt{3 x+2} (5 x+3)^{3/2}}{3 (1-2 x)^{3/2}}-\frac{23 \sqrt{3 x+2} \sqrt{5 x+3}}{7 \sqrt{1-2 x}}-\frac{23 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7 \sqrt{33}}-\frac{139}{14} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-23*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(7*Sqrt[1 - 2*x]) + (Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/(3*(1 - 2*x)^(3/2)) - (139*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/14 - (23*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(7*Sqrt[33])","A",5,5,28,0.1786,1,"{97, 150, 158, 113, 119}"
2958,1,127,0,0.0371042,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{5/2} \sqrt{2+3 x}} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(5/2)*Sqrt[2 + 3*x]),x]","-\frac{74 \sqrt{3 x+2} \sqrt{5 x+3}}{147 \sqrt{1-2 x}}+\frac{11 \sqrt{3 x+2} \sqrt{5 x+3}}{21 (1-2 x)^{3/2}}-\frac{13 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{49 \sqrt{33}}-\frac{37}{49} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{74 \sqrt{3 x+2} \sqrt{5 x+3}}{147 \sqrt{1-2 x}}+\frac{11 \sqrt{3 x+2} \sqrt{5 x+3}}{21 (1-2 x)^{3/2}}-\frac{13 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{49 \sqrt{33}}-\frac{37}{49} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(11*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(21*(1 - 2*x)^(3/2)) - (74*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(147*Sqrt[1 - 2*x]) - (37*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/49 - (13*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(49*Sqrt[33])","A",5,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2959,1,158,0,0.0491291,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{5/2} (2+3 x)^{3/2}} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(5/2)*(2 + 3*x)^(3/2)),x]","-\frac{19 \sqrt{1-2 x} \sqrt{5 x+3}}{343 \sqrt{3 x+2}}-\frac{8 \sqrt{5 x+3}}{147 \sqrt{1-2 x} \sqrt{3 x+2}}+\frac{11 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} \sqrt{3 x+2}}+\frac{106 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{343 \sqrt{33}}+\frac{19}{343} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","-\frac{19 \sqrt{1-2 x} \sqrt{5 x+3}}{343 \sqrt{3 x+2}}-\frac{8 \sqrt{5 x+3}}{147 \sqrt{1-2 x} \sqrt{3 x+2}}+\frac{11 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} \sqrt{3 x+2}}+\frac{106 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{343 \sqrt{33}}+\frac{19}{343} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(11*Sqrt[3 + 5*x])/(21*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]) - (8*Sqrt[3 + 5*x])/(147*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]) - (19*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(343*Sqrt[2 + 3*x]) + (19*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/343 + (106*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(343*Sqrt[33])","A",6,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2960,1,191,0,0.0673199,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{5/2} (2+3 x)^{5/2}} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(5/2)*(2 + 3*x)^(5/2)),x]","-\frac{496 \sqrt{1-2 x} \sqrt{5 x+3}}{2401 \sqrt{3 x+2}}-\frac{89 \sqrt{1-2 x} \sqrt{5 x+3}}{343 (3 x+2)^{3/2}}+\frac{58 \sqrt{5 x+3}}{147 \sqrt{1-2 x} (3 x+2)^{3/2}}+\frac{11 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^{3/2}}-\frac{582 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2401}+\frac{496 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2401}","-\frac{496 \sqrt{1-2 x} \sqrt{5 x+3}}{2401 \sqrt{3 x+2}}-\frac{89 \sqrt{1-2 x} \sqrt{5 x+3}}{343 (3 x+2)^{3/2}}+\frac{58 \sqrt{5 x+3}}{147 \sqrt{1-2 x} (3 x+2)^{3/2}}+\frac{11 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^{3/2}}-\frac{582 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2401}+\frac{496 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{2401}",1,"(11*Sqrt[3 + 5*x])/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)) + (58*Sqrt[3 + 5*x])/(147*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)) - (89*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(343*(2 + 3*x)^(3/2)) - (496*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2401*Sqrt[2 + 3*x]) + (496*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2401 - (582*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/2401","A",7,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2961,1,222,0,0.0824418,"\int \frac{(3+5 x)^{3/2}}{(1-2 x)^{5/2} (2+3 x)^{7/2}} \, dx","Int[(3 + 5*x)^(3/2)/((1 - 2*x)^(5/2)*(2 + 3*x)^(7/2)),x]","-\frac{3946 \sqrt{1-2 x} \sqrt{5 x+3}}{84035 \sqrt{3 x+2}}-\frac{2264 \sqrt{1-2 x} \sqrt{5 x+3}}{12005 (3 x+2)^{3/2}}-\frac{779 \sqrt{1-2 x} \sqrt{5 x+3}}{1715 (3 x+2)^{5/2}}+\frac{124 \sqrt{5 x+3}}{147 \sqrt{1-2 x} (3 x+2)^{5/2}}+\frac{11 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^{5/2}}-\frac{16732 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{84035}+\frac{3946 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{84035}","-\frac{3946 \sqrt{1-2 x} \sqrt{5 x+3}}{84035 \sqrt{3 x+2}}-\frac{2264 \sqrt{1-2 x} \sqrt{5 x+3}}{12005 (3 x+2)^{3/2}}-\frac{779 \sqrt{1-2 x} \sqrt{5 x+3}}{1715 (3 x+2)^{5/2}}+\frac{124 \sqrt{5 x+3}}{147 \sqrt{1-2 x} (3 x+2)^{5/2}}+\frac{11 \sqrt{5 x+3}}{21 (1-2 x)^{3/2} (3 x+2)^{5/2}}-\frac{16732 \sqrt{\frac{3}{11}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{84035}+\frac{3946 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{84035}",1,"(11*Sqrt[3 + 5*x])/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)) + (124*Sqrt[3 + 5*x])/(147*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)) - (779*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1715*(2 + 3*x)^(5/2)) - (2264*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(12005*(2 + 3*x)^(3/2)) - (3946*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(84035*Sqrt[2 + 3*x]) + (3946*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/84035 - (16732*Sqrt[3/11]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/84035","A",8,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2962,1,253,0,0.0994895,"\int \frac{(2+3 x)^{7/2} (3+5 x)^{5/2}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^(7/2)*(3 + 5*x)^(5/2))/(1 - 2*x)^(5/2),x]","\frac{(5 x+3)^{5/2} (3 x+2)^{7/2}}{3 (1-2 x)^{3/2}}-\frac{203 (5 x+3)^{5/2} (3 x+2)^{5/2}}{33 \sqrt{1-2 x}}-\frac{225}{22} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^{3/2}-\frac{6277}{154} \sqrt{1-2 x} (5 x+3)^{5/2} \sqrt{3 x+2}-\frac{1310203 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{4620}-\frac{1313411}{630} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{1313411 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3150}-\frac{174654791 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12600}","\frac{(5 x+3)^{5/2} (3 x+2)^{7/2}}{3 (1-2 x)^{3/2}}-\frac{203 (5 x+3)^{5/2} (3 x+2)^{5/2}}{33 \sqrt{1-2 x}}-\frac{225}{22} \sqrt{1-2 x} (5 x+3)^{5/2} (3 x+2)^{3/2}-\frac{6277}{154} \sqrt{1-2 x} (5 x+3)^{5/2} \sqrt{3 x+2}-\frac{1310203 \sqrt{1-2 x} (5 x+3)^{3/2} \sqrt{3 x+2}}{4620}-\frac{1313411}{630} \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}-\frac{1313411 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3150}-\frac{174654791 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{12600}",1,"(-1313411*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/630 - (1310203*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/4620 - (6277*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/154 - (225*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/22 - (203*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/(33*Sqrt[1 - 2*x]) + ((2 + 3*x)^(7/2)*(3 + 5*x)^(5/2))/(3*(1 - 2*x)^(3/2)) - (174654791*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/12600 - (1313411*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/3150","A",9,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2963,1,220,0,0.0812684,"\int \frac{(2+3 x)^{5/2} (3+5 x)^{5/2}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/(1 - 2*x)^(5/2),x]","\frac{(3 x+2)^{5/2} (5 x+3)^{5/2}}{3 (1-2 x)^{3/2}}-\frac{170 (3 x+2)^{3/2} (5 x+3)^{5/2}}{33 \sqrt{1-2 x}}-\frac{1355}{154} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{28283}{462} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{12601}{28} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{12601}{140} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{69819}{70} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{(3 x+2)^{5/2} (5 x+3)^{5/2}}{3 (1-2 x)^{3/2}}-\frac{170 (3 x+2)^{3/2} (5 x+3)^{5/2}}{33 \sqrt{1-2 x}}-\frac{1355}{154} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{5/2}-\frac{28283}{462} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-\frac{12601}{28} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{12601}{140} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{69819}{70} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-12601*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/28 - (28283*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/462 - (1355*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/154 - (170*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/(33*Sqrt[1 - 2*x]) + ((2 + 3*x)^(5/2)*(3 + 5*x)^(5/2))/(3*(1 - 2*x)^(3/2)) - (69819*Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/70 - (12601*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/140","A",8,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2964,1,189,0,0.0642789,"\int \frac{(2+3 x)^{3/2} (3+5 x)^{5/2}}{(1-2 x)^{5/2}} \, dx","Int[((2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/(1 - 2*x)^(5/2),x]","\frac{(3 x+2)^{3/2} (5 x+3)^{5/2}}{3 (1-2 x)^{3/2}}-\frac{137 \sqrt{3 x+2} (5 x+3)^{5/2}}{33 \sqrt{1-2 x}}-\frac{817}{66} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-91 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{91}{5} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{12101}{20} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{(3 x+2)^{3/2} (5 x+3)^{5/2}}{3 (1-2 x)^{3/2}}-\frac{137 \sqrt{3 x+2} (5 x+3)^{5/2}}{33 \sqrt{1-2 x}}-\frac{817}{66} \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}-91 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{91}{5} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{12101}{20} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"-91*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x] - (817*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/66 - (137*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/(33*Sqrt[1 - 2*x]) + ((2 + 3*x)^(3/2)*(3 + 5*x)^(5/2))/(3*(1 - 2*x)^(3/2)) - (12101*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/20 - (91*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/5","A",7,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2965,1,160,0,0.0532195,"\int \frac{\sqrt{2+3 x} (3+5 x)^{5/2}}{(1-2 x)^{5/2}} \, dx","Int[(Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/(1 - 2*x)^(5/2),x]","\frac{\sqrt{3 x+2} (5 x+3)^{5/2}}{3 (1-2 x)^{3/2}}-\frac{104 \sqrt{3 x+2} (5 x+3)^{3/2}}{21 \sqrt{1-2 x}}-\frac{695}{42} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{139}{42} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{4621}{42} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{\sqrt{3 x+2} (5 x+3)^{5/2}}{3 (1-2 x)^{3/2}}-\frac{104 \sqrt{3 x+2} (5 x+3)^{3/2}}{21 \sqrt{1-2 x}}-\frac{695}{42} \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}-\frac{139}{42} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{4621}{42} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-695*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/42 - (104*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/(21*Sqrt[1 - 2*x]) + (Sqrt[2 + 3*x]*(3 + 5*x)^(5/2))/(3*(1 - 2*x)^(3/2)) - (4621*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/42 - (139*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/42","A",6,6,28,0.2143,1,"{97, 150, 154, 158, 113, 119}"
2966,1,127,0,0.0379025,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{5/2} \sqrt{2+3 x}} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(5/2)*Sqrt[2 + 3*x]),x]","\frac{11 \sqrt{3 x+2} (5 x+3)^{3/2}}{21 (1-2 x)^{3/2}}-\frac{264 \sqrt{3 x+2} \sqrt{5 x+3}}{49 \sqrt{1-2 x}}-\frac{8}{49} \sqrt{33} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{1597}{98} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{11 \sqrt{3 x+2} (5 x+3)^{3/2}}{21 (1-2 x)^{3/2}}-\frac{264 \sqrt{3 x+2} \sqrt{5 x+3}}{49 \sqrt{1-2 x}}-\frac{8}{49} \sqrt{33} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{1597}{98} \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-264*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(49*Sqrt[1 - 2*x]) + (11*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2))/(21*(1 - 2*x)^(3/2)) - (1597*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/98 - (8*Sqrt[33]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/49","A",5,5,28,0.1786,1,"{98, 150, 158, 113, 119}"
2967,1,158,0,0.0506717,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{5/2} (2+3 x)^{3/2}} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(5/2)*(2 + 3*x)^(3/2)),x]","\frac{11 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2} \sqrt{3 x+2}}+\frac{438 \sqrt{1-2 x} \sqrt{5 x+3}}{343 \sqrt{3 x+2}}-\frac{143 \sqrt{5 x+3}}{49 \sqrt{1-2 x} \sqrt{3 x+2}}-\frac{17}{343} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{146}{343} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)","\frac{11 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2} \sqrt{3 x+2}}+\frac{438 \sqrt{1-2 x} \sqrt{5 x+3}}{343 \sqrt{3 x+2}}-\frac{143 \sqrt{5 x+3}}{49 \sqrt{1-2 x} \sqrt{3 x+2}}-\frac{17}{343} \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)-\frac{146}{343} \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)",1,"(-143*Sqrt[3 + 5*x])/(49*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]) + (438*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(343*Sqrt[2 + 3*x]) + (11*(3 + 5*x)^(3/2))/(21*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]) - (146*Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/343 - (17*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/343","A",6,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2968,1,191,0,0.0646141,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{5/2} (2+3 x)^{5/2}} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(5/2)*(2 + 3*x)^(5/2)),x]","\frac{11 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2} (3 x+2)^{3/2}}-\frac{169 \sqrt{1-2 x} \sqrt{5 x+3}}{7203 \sqrt{3 x+2}}+\frac{229 \sqrt{1-2 x} \sqrt{5 x+3}}{1029 (3 x+2)^{3/2}}-\frac{22 \sqrt{5 x+3}}{49 \sqrt{1-2 x} (3 x+2)^{3/2}}+\frac{496 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7203}+\frac{169 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7203}","\frac{11 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2} (3 x+2)^{3/2}}-\frac{169 \sqrt{1-2 x} \sqrt{5 x+3}}{7203 \sqrt{3 x+2}}+\frac{229 \sqrt{1-2 x} \sqrt{5 x+3}}{1029 (3 x+2)^{3/2}}-\frac{22 \sqrt{5 x+3}}{49 \sqrt{1-2 x} (3 x+2)^{3/2}}+\frac{496 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7203}+\frac{169 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{7203}",1,"(-22*Sqrt[3 + 5*x])/(49*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)) + (229*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1029*(2 + 3*x)^(3/2)) - (169*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(7203*Sqrt[2 + 3*x]) + (11*(3 + 5*x)^(3/2))/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)) + (169*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/7203 + (496*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/7203","A",7,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2969,1,220,0,0.0812855,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{5/2} (2+3 x)^{7/2}} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(5/2)*(2 + 3*x)^(7/2)),x]","\frac{11 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2} (3 x+2)^{5/2}}-\frac{27618 \sqrt{1-2 x} \sqrt{5 x+3}}{84035 \sqrt{3 x+2}}-\frac{4437 \sqrt{1-2 x} \sqrt{5 x+3}}{12005 (3 x+2)^{3/2}}-\frac{1432 \sqrt{1-2 x} \sqrt{5 x+3}}{1715 (3 x+2)^{5/2}}+\frac{99 \sqrt{5 x+3}}{49 \sqrt{1-2 x} (3 x+2)^{5/2}}-\frac{7738 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{84035}+\frac{9206 \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{84035}","\frac{11 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2} (3 x+2)^{5/2}}-\frac{27618 \sqrt{1-2 x} \sqrt{5 x+3}}{84035 \sqrt{3 x+2}}-\frac{4437 \sqrt{1-2 x} \sqrt{5 x+3}}{12005 (3 x+2)^{3/2}}-\frac{1432 \sqrt{1-2 x} \sqrt{5 x+3}}{1715 (3 x+2)^{5/2}}+\frac{99 \sqrt{5 x+3}}{49 \sqrt{1-2 x} (3 x+2)^{5/2}}-\frac{7738 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{84035}+\frac{9206 \sqrt{33} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{84035}",1,"(99*Sqrt[3 + 5*x])/(49*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)) - (1432*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1715*(2 + 3*x)^(5/2)) - (4437*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(12005*(2 + 3*x)^(3/2)) - (27618*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(84035*Sqrt[2 + 3*x]) + (11*(3 + 5*x)^(3/2))/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)) + (9206*Sqrt[33]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/84035 - (7738*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/84035","A",8,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2970,1,253,0,0.098521,"\int \frac{(3+5 x)^{5/2}}{(1-2 x)^{5/2} (2+3 x)^{9/2}} \, dx","Int[(3 + 5*x)^(5/2)/((1 - 2*x)^(5/2)*(2 + 3*x)^(9/2)),x]","\frac{11 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2} (3 x+2)^{7/2}}-\frac{98642 \sqrt{1-2 x} \sqrt{5 x+3}}{823543 \sqrt{3 x+2}}-\frac{33778 \sqrt{1-2 x} \sqrt{5 x+3}}{117649 (3 x+2)^{3/2}}-\frac{11433 \sqrt{1-2 x} \sqrt{5 x+3}}{16807 (3 x+2)^{5/2}}-\frac{4545 \sqrt{1-2 x} \sqrt{5 x+3}}{2401 (3 x+2)^{7/2}}+\frac{220 \sqrt{5 x+3}}{49 \sqrt{1-2 x} (3 x+2)^{7/2}}-\frac{65672 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{823543}+\frac{98642 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{823543}","\frac{11 (5 x+3)^{3/2}}{21 (1-2 x)^{3/2} (3 x+2)^{7/2}}-\frac{98642 \sqrt{1-2 x} \sqrt{5 x+3}}{823543 \sqrt{3 x+2}}-\frac{33778 \sqrt{1-2 x} \sqrt{5 x+3}}{117649 (3 x+2)^{3/2}}-\frac{11433 \sqrt{1-2 x} \sqrt{5 x+3}}{16807 (3 x+2)^{5/2}}-\frac{4545 \sqrt{1-2 x} \sqrt{5 x+3}}{2401 (3 x+2)^{7/2}}+\frac{220 \sqrt{5 x+3}}{49 \sqrt{1-2 x} (3 x+2)^{7/2}}-\frac{65672 \sqrt{\frac{11}{3}} F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{823543}+\frac{98642 \sqrt{\frac{11}{3}} E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{823543}",1,"(220*Sqrt[3 + 5*x])/(49*Sqrt[1 - 2*x]*(2 + 3*x)^(7/2)) - (4545*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(2401*(2 + 3*x)^(7/2)) - (11433*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(16807*(2 + 3*x)^(5/2)) - (33778*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(117649*(2 + 3*x)^(3/2)) - (98642*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(823543*Sqrt[2 + 3*x]) + (11*(3 + 5*x)^(3/2))/(21*(1 - 2*x)^(3/2)*(2 + 3*x)^(7/2)) + (98642*Sqrt[11/3]*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/823543 - (65672*Sqrt[11/3]*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/823543","A",9,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2971,1,187,0,0.0655777,"\int \frac{(2+3 x)^{9/2}}{(1-2 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^(9/2)/((1 - 2*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (3 x+2)^{7/2}}{33 (1-2 x)^{3/2}}-\frac{910 \sqrt{5 x+3} (3 x+2)^{5/2}}{363 \sqrt{1-2 x}}-\frac{27271 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{6050}-\frac{317384 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{15125}-\frac{663409 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{13750 \sqrt{33}}-\frac{44109377 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{27500 \sqrt{33}}","\frac{7 \sqrt{5 x+3} (3 x+2)^{7/2}}{33 (1-2 x)^{3/2}}-\frac{910 \sqrt{5 x+3} (3 x+2)^{5/2}}{363 \sqrt{1-2 x}}-\frac{27271 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{6050}-\frac{317384 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{15125}-\frac{663409 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{13750 \sqrt{33}}-\frac{44109377 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{27500 \sqrt{33}}",1,"(-317384*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/15125 - (27271*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/6050 - (910*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/(363*Sqrt[1 - 2*x]) + (7*(2 + 3*x)^(7/2)*Sqrt[3 + 5*x])/(33*(1 - 2*x)^(3/2)) - (44109377*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(27500*Sqrt[33]) - (663409*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(13750*Sqrt[33])","A",7,6,28,0.2143,1,"{98, 150, 154, 158, 113, 119}"
2972,1,156,0,0.0500642,"\int \frac{(2+3 x)^{7/2}}{(1-2 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^(7/2)/((1 - 2*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (3 x+2)^{5/2}}{33 (1-2 x)^{3/2}}-\frac{679 \sqrt{5 x+3} (3 x+2)^{3/2}}{363 \sqrt{1-2 x}}-\frac{4517 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{1210}-\frac{4721 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{550 \sqrt{33}}-\frac{78472 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{275 \sqrt{33}}","\frac{7 \sqrt{5 x+3} (3 x+2)^{5/2}}{33 (1-2 x)^{3/2}}-\frac{679 \sqrt{5 x+3} (3 x+2)^{3/2}}{363 \sqrt{1-2 x}}-\frac{4517 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{1210}-\frac{4721 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{550 \sqrt{33}}-\frac{78472 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{275 \sqrt{33}}",1,"(-4517*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/1210 - (679*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/(363*Sqrt[1 - 2*x]) + (7*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x])/(33*(1 - 2*x)^(3/2)) - (78472*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(275*Sqrt[33]) - (4721*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(550*Sqrt[33])","A",6,6,28,0.2143,1,"{98, 150, 154, 158, 113, 119}"
2973,1,125,0,0.0370856,"\int \frac{(2+3 x)^{5/2}}{(1-2 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^(5/2)/((1 - 2*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{7 \sqrt{5 x+3} (3 x+2)^{3/2}}{33 (1-2 x)^{3/2}}-\frac{448 \sqrt{5 x+3} \sqrt{3 x+2}}{363 \sqrt{1-2 x}}-\frac{67 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{55 \sqrt{33}}-\frac{4451 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{110 \sqrt{33}}","\frac{7 \sqrt{5 x+3} (3 x+2)^{3/2}}{33 (1-2 x)^{3/2}}-\frac{448 \sqrt{5 x+3} \sqrt{3 x+2}}{363 \sqrt{1-2 x}}-\frac{67 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{55 \sqrt{33}}-\frac{4451 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{110 \sqrt{33}}",1,"(-448*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(363*Sqrt[1 - 2*x]) + (7*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/(33*(1 - 2*x)^(3/2)) - (4451*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(110*Sqrt[33]) - (67*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(55*Sqrt[33])","A",5,5,28,0.1786,1,"{98, 150, 158, 113, 119}"
2974,1,125,0,0.0381773,"\int \frac{(2+3 x)^{3/2}}{(1-2 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[(2 + 3*x)^(3/2)/((1 - 2*x)^(5/2)*Sqrt[3 + 5*x]),x]","-\frac{62 \sqrt{3 x+2} \sqrt{5 x+3}}{363 \sqrt{1-2 x}}+\frac{7 \sqrt{3 x+2} \sqrt{5 x+3}}{33 (1-2 x)^{3/2}}-\frac{F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{11 \sqrt{33}}-\frac{31 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{11 \sqrt{33}}","-\frac{62 \sqrt{3 x+2} \sqrt{5 x+3}}{363 \sqrt{1-2 x}}+\frac{7 \sqrt{3 x+2} \sqrt{5 x+3}}{33 (1-2 x)^{3/2}}-\frac{F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{11 \sqrt{33}}-\frac{31 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{11 \sqrt{33}}",1,"(7*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(33*(1 - 2*x)^(3/2)) - (62*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(363*Sqrt[1 - 2*x]) - (31*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(11*Sqrt[33]) - EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33]/(11*Sqrt[33])","A",5,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2975,1,125,0,0.0399907,"\int \frac{\sqrt{2+3 x}}{(1-2 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[Sqrt[2 + 3*x]/((1 - 2*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{74 \sqrt{3 x+2} \sqrt{5 x+3}}{2541 \sqrt{1-2 x}}+\frac{2 \sqrt{3 x+2} \sqrt{5 x+3}}{33 (1-2 x)^{3/2}}-\frac{2 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{77 \sqrt{33}}+\frac{37 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{77 \sqrt{33}}","\frac{74 \sqrt{3 x+2} \sqrt{5 x+3}}{2541 \sqrt{1-2 x}}+\frac{2 \sqrt{3 x+2} \sqrt{5 x+3}}{33 (1-2 x)^{3/2}}-\frac{2 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{77 \sqrt{33}}+\frac{37 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{77 \sqrt{33}}",1,"(2*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(33*(1 - 2*x)^(3/2)) + (74*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(2541*Sqrt[1 - 2*x]) + (37*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(77*Sqrt[33]) - (2*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(77*Sqrt[33])","A",5,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2976,1,125,0,0.0422164,"\int \frac{1}{(1-2 x)^{5/2} \sqrt{2+3 x} \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(5/2)*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]),x]","\frac{544 \sqrt{3 x+2} \sqrt{5 x+3}}{17787 \sqrt{1-2 x}}+\frac{4 \sqrt{3 x+2} \sqrt{5 x+3}}{231 (1-2 x)^{3/2}}-\frac{202 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{539 \sqrt{33}}+\frac{272 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{539 \sqrt{33}}","\frac{544 \sqrt{3 x+2} \sqrt{5 x+3}}{17787 \sqrt{1-2 x}}+\frac{4 \sqrt{3 x+2} \sqrt{5 x+3}}{231 (1-2 x)^{3/2}}-\frac{202 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{539 \sqrt{33}}+\frac{272 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{539 \sqrt{33}}",1,"(4*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(231*(1 - 2*x)^(3/2)) + (544*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/(17787*Sqrt[1 - 2*x]) + (272*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(539*Sqrt[33]) - (202*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(539*Sqrt[33])","A",5,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2977,1,156,0,0.0519447,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^{3/2} \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]),x]","\frac{5594 \sqrt{1-2 x} \sqrt{5 x+3}}{41503 \sqrt{3 x+2}}+\frac{808 \sqrt{5 x+3}}{17787 \sqrt{1-2 x} \sqrt{3 x+2}}+\frac{4 \sqrt{5 x+3}}{231 (1-2 x)^{3/2} \sqrt{3 x+2}}-\frac{1196 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3773 \sqrt{33}}-\frac{5594 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3773 \sqrt{33}}","\frac{5594 \sqrt{1-2 x} \sqrt{5 x+3}}{41503 \sqrt{3 x+2}}+\frac{808 \sqrt{5 x+3}}{17787 \sqrt{1-2 x} \sqrt{3 x+2}}+\frac{4 \sqrt{5 x+3}}{231 (1-2 x)^{3/2} \sqrt{3 x+2}}-\frac{1196 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3773 \sqrt{33}}-\frac{5594 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3773 \sqrt{33}}",1,"(4*Sqrt[3 + 5*x])/(231*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]) + (808*Sqrt[3 + 5*x])/(17787*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]) + (5594*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(41503*Sqrt[2 + 3*x]) - (5594*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(3773*Sqrt[33]) - (1196*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(3773*Sqrt[33])","A",6,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2978,1,187,0,0.0660767,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^{5/2} \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]),x]","\frac{184636 \sqrt{1-2 x} \sqrt{5 x+3}}{290521 \sqrt{3 x+2}}+\frac{974 \sqrt{1-2 x} \sqrt{5 x+3}}{41503 (3 x+2)^{3/2}}+\frac{1072 \sqrt{5 x+3}}{17787 \sqrt{1-2 x} (3 x+2)^{3/2}}+\frac{4 \sqrt{5 x+3}}{231 (1-2 x)^{3/2} (3 x+2)^{3/2}}-\frac{9124 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{26411 \sqrt{33}}-\frac{184636 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{26411 \sqrt{33}}","\frac{184636 \sqrt{1-2 x} \sqrt{5 x+3}}{290521 \sqrt{3 x+2}}+\frac{974 \sqrt{1-2 x} \sqrt{5 x+3}}{41503 (3 x+2)^{3/2}}+\frac{1072 \sqrt{5 x+3}}{17787 \sqrt{1-2 x} (3 x+2)^{3/2}}+\frac{4 \sqrt{5 x+3}}{231 (1-2 x)^{3/2} (3 x+2)^{3/2}}-\frac{9124 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{26411 \sqrt{33}}-\frac{184636 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{26411 \sqrt{33}}",1,"(4*Sqrt[3 + 5*x])/(231*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)) + (1072*Sqrt[3 + 5*x])/(17787*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)) + (974*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(41503*(2 + 3*x)^(3/2)) + (184636*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(290521*Sqrt[2 + 3*x]) - (184636*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(26411*Sqrt[33]) - (9124*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(26411*Sqrt[33])","A",7,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2979,1,218,0,0.0850025,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^{7/2} \sqrt{3+5 x}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^(7/2)*Sqrt[3 + 5*x]),x]","\frac{26062156 \sqrt{1-2 x} \sqrt{5 x+3}}{10168235 \sqrt{3 x+2}}+\frac{349904 \sqrt{1-2 x} \sqrt{5 x+3}}{1452605 (3 x+2)^{3/2}}-\frac{806 \sqrt{1-2 x} \sqrt{5 x+3}}{207515 (3 x+2)^{5/2}}+\frac{1336 \sqrt{5 x+3}}{17787 \sqrt{1-2 x} (3 x+2)^{5/2}}+\frac{4 \sqrt{5 x+3}}{231 (1-2 x)^{3/2} (3 x+2)^{5/2}}-\frac{837304 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{924385 \sqrt{33}}-\frac{26062156 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{924385 \sqrt{33}}","\frac{26062156 \sqrt{1-2 x} \sqrt{5 x+3}}{10168235 \sqrt{3 x+2}}+\frac{349904 \sqrt{1-2 x} \sqrt{5 x+3}}{1452605 (3 x+2)^{3/2}}-\frac{806 \sqrt{1-2 x} \sqrt{5 x+3}}{207515 (3 x+2)^{5/2}}+\frac{1336 \sqrt{5 x+3}}{17787 \sqrt{1-2 x} (3 x+2)^{5/2}}+\frac{4 \sqrt{5 x+3}}{231 (1-2 x)^{3/2} (3 x+2)^{5/2}}-\frac{837304 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{924385 \sqrt{33}}-\frac{26062156 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{924385 \sqrt{33}}",1,"(4*Sqrt[3 + 5*x])/(231*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)) + (1336*Sqrt[3 + 5*x])/(17787*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)) - (806*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(207515*(2 + 3*x)^(5/2)) + (349904*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(1452605*(2 + 3*x)^(3/2)) + (26062156*Sqrt[1 - 2*x]*Sqrt[3 + 5*x])/(10168235*Sqrt[2 + 3*x]) - (26062156*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(924385*Sqrt[33]) - (837304*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(924385*Sqrt[33])","A",8,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2980,1,218,0,0.0813794,"\int \frac{(2+3 x)^{11/2}}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^(11/2)/((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2)),x]","\frac{7 (3 x+2)^{9/2}}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{896 (3 x+2)^{7/2}}{363 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{4439 \sqrt{1-2 x} (3 x+2)^{5/2}}{19965 \sqrt{5 x+3}}-\frac{932783 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{332750}-\frac{21713939 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{1663750}-\frac{11346991 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{378125 \sqrt{33}}-\frac{1508889271 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1512500 \sqrt{33}}","\frac{7 (3 x+2)^{9/2}}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{896 (3 x+2)^{7/2}}{363 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{4439 \sqrt{1-2 x} (3 x+2)^{5/2}}{19965 \sqrt{5 x+3}}-\frac{932783 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{332750}-\frac{21713939 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{1663750}-\frac{11346991 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{378125 \sqrt{33}}-\frac{1508889271 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1512500 \sqrt{33}}",1,"(4439*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(19965*Sqrt[3 + 5*x]) - (896*(2 + 3*x)^(7/2))/(363*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) + (7*(2 + 3*x)^(9/2))/(33*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) - (21713939*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/1663750 - (932783*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/332750 - (1508889271*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1512500*Sqrt[33]) - (11346991*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(378125*Sqrt[33])","A",8,6,28,0.2143,1,"{98, 150, 154, 158, 113, 119}"
2981,1,187,0,0.0676765,"\int \frac{(2+3 x)^{9/2}}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^(9/2)/((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2)),x]","\frac{7 (3 x+2)^{7/2}}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{665 (3 x+2)^{5/2}}{363 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{3284 \sqrt{1-2 x} (3 x+2)^{3/2}}{19965 \sqrt{5 x+3}}-\frac{153319 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{66550}-\frac{160297 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{30250 \sqrt{33}}-\frac{5327983 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{30250 \sqrt{33}}","\frac{7 (3 x+2)^{7/2}}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{665 (3 x+2)^{5/2}}{363 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{3284 \sqrt{1-2 x} (3 x+2)^{3/2}}{19965 \sqrt{5 x+3}}-\frac{153319 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{66550}-\frac{160297 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{30250 \sqrt{33}}-\frac{5327983 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{30250 \sqrt{33}}",1,"(3284*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(19965*Sqrt[3 + 5*x]) - (665*(2 + 3*x)^(5/2))/(363*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) + (7*(2 + 3*x)^(7/2))/(33*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) - (153319*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/66550 - (5327983*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(30250*Sqrt[33]) - (160297*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(30250*Sqrt[33])","A",7,6,28,0.2143,1,"{98, 150, 154, 158, 113, 119}"
2982,1,156,0,0.0508517,"\int \frac{(2+3 x)^{7/2}}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^(7/2)/((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2)),x]","\frac{7 (3 x+2)^{5/2}}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{434 (3 x+2)^{3/2}}{363 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{2129 \sqrt{1-2 x} \sqrt{3 x+2}}{19965 \sqrt{5 x+3}}-\frac{2252 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3025 \sqrt{33}}-\frac{148831 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6050 \sqrt{33}}","\frac{7 (3 x+2)^{5/2}}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{434 (3 x+2)^{3/2}}{363 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{2129 \sqrt{1-2 x} \sqrt{3 x+2}}{19965 \sqrt{5 x+3}}-\frac{2252 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3025 \sqrt{33}}-\frac{148831 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6050 \sqrt{33}}",1,"(2129*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(19965*Sqrt[3 + 5*x]) - (434*(2 + 3*x)^(3/2))/(363*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) + (7*(2 + 3*x)^(5/2))/(33*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) - (148831*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(6050*Sqrt[33]) - (2252*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(3025*Sqrt[33])","A",6,5,28,0.1786,1,"{98, 150, 158, 113, 119}"
2983,1,156,0,0.0525404,"\int \frac{(2+3 x)^{5/2}}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^(5/2)/((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2)),x]","\frac{7 (3 x+2)^{3/2}}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}+\frac{974 \sqrt{1-2 x} \sqrt{3 x+2}}{3993 \sqrt{5 x+3}}-\frac{203 \sqrt{3 x+2}}{363 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{41 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{605 \sqrt{33}}-\frac{974 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{605 \sqrt{33}}","\frac{7 (3 x+2)^{3/2}}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}+\frac{974 \sqrt{1-2 x} \sqrt{3 x+2}}{3993 \sqrt{5 x+3}}-\frac{203 \sqrt{3 x+2}}{363 \sqrt{1-2 x} \sqrt{5 x+3}}-\frac{41 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{605 \sqrt{33}}-\frac{974 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{605 \sqrt{33}}",1,"(-203*Sqrt[2 + 3*x])/(363*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) + (974*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3993*Sqrt[3 + 5*x]) + (7*(2 + 3*x)^(3/2))/(33*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) - (974*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(605*Sqrt[33]) - (41*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(605*Sqrt[33])","A",6,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2984,1,156,0,0.0525268,"\int \frac{(2+3 x)^{3/2}}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[(2 + 3*x)^(3/2)/((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2)),x]","-\frac{245 \sqrt{1-2 x} \sqrt{3 x+2}}{3993 \sqrt{5 x+3}}+\frac{8 \sqrt{3 x+2}}{363 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{7 \sqrt{3 x+2}}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{8 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{121 \sqrt{33}}+\frac{49 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{121 \sqrt{33}}","-\frac{245 \sqrt{1-2 x} \sqrt{3 x+2}}{3993 \sqrt{5 x+3}}+\frac{8 \sqrt{3 x+2}}{363 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{7 \sqrt{3 x+2}}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{8 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{121 \sqrt{33}}+\frac{49 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{121 \sqrt{33}}",1,"(7*Sqrt[2 + 3*x])/(33*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) + (8*Sqrt[2 + 3*x])/(363*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (245*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3993*Sqrt[3 + 5*x]) + (49*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(121*Sqrt[33]) - (8*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(121*Sqrt[33])","A",6,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2985,1,156,0,0.0528049,"\int \frac{\sqrt{2+3 x}}{(1-2 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[Sqrt[2 + 3*x]/((1 - 2*x)^(5/2)*(3 + 5*x)^(3/2)),x]","-\frac{2470 \sqrt{1-2 x} \sqrt{3 x+2}}{27951 \sqrt{5 x+3}}+\frac{214 \sqrt{3 x+2}}{2541 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{2 \sqrt{3 x+2}}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{214 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{847 \sqrt{33}}+\frac{494 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{847 \sqrt{33}}","-\frac{2470 \sqrt{1-2 x} \sqrt{3 x+2}}{27951 \sqrt{5 x+3}}+\frac{214 \sqrt{3 x+2}}{2541 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{2 \sqrt{3 x+2}}{33 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{214 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{847 \sqrt{33}}+\frac{494 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{847 \sqrt{33}}",1,"(2*Sqrt[2 + 3*x])/(33*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) + (214*Sqrt[2 + 3*x])/(2541*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (2470*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(27951*Sqrt[3 + 5*x]) + (494*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(847*Sqrt[33]) - (214*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(847*Sqrt[33])","A",6,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2986,1,156,0,0.0540794,"\int \frac{1}{(1-2 x)^{5/2} \sqrt{2+3 x} (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)),x]","-\frac{41570 \sqrt{1-2 x} \sqrt{3 x+2}}{195657 \sqrt{5 x+3}}+\frac{824 \sqrt{3 x+2}}{17787 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{4 \sqrt{3 x+2}}{231 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{824 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5929 \sqrt{33}}+\frac{8314 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5929 \sqrt{33}}","-\frac{41570 \sqrt{1-2 x} \sqrt{3 x+2}}{195657 \sqrt{5 x+3}}+\frac{824 \sqrt{3 x+2}}{17787 \sqrt{1-2 x} \sqrt{5 x+3}}+\frac{4 \sqrt{3 x+2}}{231 (1-2 x)^{3/2} \sqrt{5 x+3}}-\frac{824 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5929 \sqrt{33}}+\frac{8314 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{5929 \sqrt{33}}",1,"(4*Sqrt[2 + 3*x])/(231*(1 - 2*x)^(3/2)*Sqrt[3 + 5*x]) + (824*Sqrt[2 + 3*x])/(17787*Sqrt[1 - 2*x]*Sqrt[3 + 5*x]) - (41570*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(195657*Sqrt[3 + 5*x]) + (8314*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(5929*Sqrt[33]) - (824*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(5929*Sqrt[33])","A",6,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2987,1,187,0,0.0681657,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^{3/2} (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)),x]","-\frac{2377960 \sqrt{1-2 x} \sqrt{3 x+2}}{1369599 \sqrt{5 x+3}}+\frac{5314 \sqrt{1-2 x}}{41503 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{1088}{17787 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{4}{231 (1-2 x)^{3/2} \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{10628 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{41503 \sqrt{33}}+\frac{475592 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{41503 \sqrt{33}}","-\frac{2377960 \sqrt{1-2 x} \sqrt{3 x+2}}{1369599 \sqrt{5 x+3}}+\frac{5314 \sqrt{1-2 x}}{41503 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{1088}{17787 \sqrt{1-2 x} \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{4}{231 (1-2 x)^{3/2} \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{10628 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{41503 \sqrt{33}}+\frac{475592 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{41503 \sqrt{33}}",1,"4/(231*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) + 1088/(17787*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) + (5314*Sqrt[1 - 2*x])/(41503*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (2377960*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(1369599*Sqrt[3 + 5*x]) + (475592*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(41503*Sqrt[33]) + (10628*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(41503*Sqrt[33])","A",7,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2988,1,218,0,0.0820513,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^{5/2} (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)),x]","-\frac{113693540 \sqrt{1-2 x} \sqrt{3 x+2}}{9587193 \sqrt{5 x+3}}+\frac{336536 \sqrt{1-2 x}}{290521 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{694 \sqrt{1-2 x}}{41503 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{1352}{17787 \sqrt{1-2 x} (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{4}{231 (1-2 x)^{3/2} (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{673072 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{290521 \sqrt{33}}+\frac{22738708 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{290521 \sqrt{33}}","-\frac{113693540 \sqrt{1-2 x} \sqrt{3 x+2}}{9587193 \sqrt{5 x+3}}+\frac{336536 \sqrt{1-2 x}}{290521 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{694 \sqrt{1-2 x}}{41503 (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{1352}{17787 \sqrt{1-2 x} (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{4}{231 (1-2 x)^{3/2} (3 x+2)^{3/2} \sqrt{5 x+3}}+\frac{673072 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{290521 \sqrt{33}}+\frac{22738708 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{290521 \sqrt{33}}",1,"4/(231*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + 1352/(17787*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (694*Sqrt[1 - 2*x])/(41503*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (336536*Sqrt[1 - 2*x])/(290521*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (113693540*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(9587193*Sqrt[3 + 5*x]) + (22738708*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(290521*Sqrt[33]) + (673072*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(290521*Sqrt[33])","A",8,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2989,1,249,0,0.1000306,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^{7/2} (3+5 x)^{3/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^(7/2)*(3 + 5*x)^(3/2)),x]","-\frac{4839325048 \sqrt{1-2 x} \sqrt{3 x+2}}{67110351 \sqrt{5 x+3}}+\frac{72709316 \sqrt{1-2 x}}{10168235 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{499564 \sqrt{1-2 x}}{1452605 (3 x+2)^{3/2} \sqrt{5 x+3}}-\frac{2206 \sqrt{1-2 x}}{207515 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{1616}{17787 \sqrt{1-2 x} (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{4}{231 (1-2 x)^{3/2} (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{145418632 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{10168235 \sqrt{33}}+\frac{4839325048 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{10168235 \sqrt{33}}","-\frac{4839325048 \sqrt{1-2 x} \sqrt{3 x+2}}{67110351 \sqrt{5 x+3}}+\frac{72709316 \sqrt{1-2 x}}{10168235 \sqrt{3 x+2} \sqrt{5 x+3}}+\frac{499564 \sqrt{1-2 x}}{1452605 (3 x+2)^{3/2} \sqrt{5 x+3}}-\frac{2206 \sqrt{1-2 x}}{207515 (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{1616}{17787 \sqrt{1-2 x} (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{4}{231 (1-2 x)^{3/2} (3 x+2)^{5/2} \sqrt{5 x+3}}+\frac{145418632 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{10168235 \sqrt{33}}+\frac{4839325048 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{10168235 \sqrt{33}}",1,"4/(231*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]) + 1616/(17787*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]) - (2206*Sqrt[1 - 2*x])/(207515*(2 + 3*x)^(5/2)*Sqrt[3 + 5*x]) + (499564*Sqrt[1 - 2*x])/(1452605*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x]) + (72709316*Sqrt[1 - 2*x])/(10168235*Sqrt[2 + 3*x]*Sqrt[3 + 5*x]) - (4839325048*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(67110351*Sqrt[3 + 5*x]) + (4839325048*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(10168235*Sqrt[33]) + (145418632*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(10168235*Sqrt[33])","A",9,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2990,1,249,0,0.0986754,"\int \frac{(2+3 x)^{13/2}}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(13/2)/((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^{11/2}}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{294 (3 x+2)^{9/2}}{121 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{4373 \sqrt{1-2 x} (3 x+2)^{7/2}}{19965 (5 x+3)^{3/2}}+\frac{150812 \sqrt{1-2 x} (3 x+2)^{5/2}}{1098075 \sqrt{5 x+3}}-\frac{31887029 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{18301250}-\frac{371279941 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{45753125}-\frac{776112041 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{41593750 \sqrt{33}}-\frac{51601293223 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{83187500 \sqrt{33}}","\frac{7 (3 x+2)^{11/2}}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{294 (3 x+2)^{9/2}}{121 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{4373 \sqrt{1-2 x} (3 x+2)^{7/2}}{19965 (5 x+3)^{3/2}}+\frac{150812 \sqrt{1-2 x} (3 x+2)^{5/2}}{1098075 \sqrt{5 x+3}}-\frac{31887029 \sqrt{1-2 x} \sqrt{5 x+3} (3 x+2)^{3/2}}{18301250}-\frac{371279941 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{45753125}-\frac{776112041 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{41593750 \sqrt{33}}-\frac{51601293223 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{83187500 \sqrt{33}}",1,"(4373*Sqrt[1 - 2*x]*(2 + 3*x)^(7/2))/(19965*(3 + 5*x)^(3/2)) - (294*(2 + 3*x)^(9/2))/(121*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) + (7*(2 + 3*x)^(11/2))/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) + (150812*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(1098075*Sqrt[3 + 5*x]) - (371279941*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/45753125 - (31887029*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*Sqrt[3 + 5*x])/18301250 - (51601293223*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(83187500*Sqrt[33]) - (776112041*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(41593750*Sqrt[33])","A",9,6,28,0.2143,1,"{98, 150, 154, 158, 113, 119}"
2991,1,218,0,0.0827446,"\int \frac{(2+3 x)^{11/2}}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(11/2)/((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^{9/2}}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{217 (3 x+2)^{7/2}}{121 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{3218 \sqrt{1-2 x} (3 x+2)^{5/2}}{19965 (5 x+3)^{3/2}}+\frac{110519 \sqrt{1-2 x} (3 x+2)^{3/2}}{1098075 \sqrt{5 x+3}}-\frac{5199979 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{3660250}-\frac{5442127 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1663750 \sqrt{33}}-\frac{90397364 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{831875 \sqrt{33}}","\frac{7 (3 x+2)^{9/2}}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{217 (3 x+2)^{7/2}}{121 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{3218 \sqrt{1-2 x} (3 x+2)^{5/2}}{19965 (5 x+3)^{3/2}}+\frac{110519 \sqrt{1-2 x} (3 x+2)^{3/2}}{1098075 \sqrt{5 x+3}}-\frac{5199979 \sqrt{1-2 x} \sqrt{5 x+3} \sqrt{3 x+2}}{3660250}-\frac{5442127 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1663750 \sqrt{33}}-\frac{90397364 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{831875 \sqrt{33}}",1,"(3218*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2))/(19965*(3 + 5*x)^(3/2)) - (217*(2 + 3*x)^(7/2))/(121*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) + (7*(2 + 3*x)^(9/2))/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) + (110519*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(1098075*Sqrt[3 + 5*x]) - (5199979*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*Sqrt[3 + 5*x])/3660250 - (90397364*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(831875*Sqrt[33]) - (5442127*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1663750*Sqrt[33])","A",8,6,28,0.2143,1,"{98, 150, 154, 158, 113, 119}"
2992,1,187,0,0.0641548,"\int \frac{(2+3 x)^{9/2}}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(9/2)/((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^{7/2}}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{140 (3 x+2)^{5/2}}{121 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{2063 \sqrt{1-2 x} (3 x+2)^{3/2}}{19965 (5 x+3)^{3/2}}+\frac{70226 \sqrt{1-2 x} \sqrt{3 x+2}}{1098075 \sqrt{5 x+3}}-\frac{76163 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{166375 \sqrt{33}}-\frac{4971289 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{332750 \sqrt{33}}","\frac{7 (3 x+2)^{7/2}}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{140 (3 x+2)^{5/2}}{121 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{2063 \sqrt{1-2 x} (3 x+2)^{3/2}}{19965 (5 x+3)^{3/2}}+\frac{70226 \sqrt{1-2 x} \sqrt{3 x+2}}{1098075 \sqrt{5 x+3}}-\frac{76163 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{166375 \sqrt{33}}-\frac{4971289 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{332750 \sqrt{33}}",1,"(2063*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2))/(19965*(3 + 5*x)^(3/2)) - (140*(2 + 3*x)^(5/2))/(121*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) + (7*(2 + 3*x)^(7/2))/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) + (70226*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(1098075*Sqrt[3 + 5*x]) - (4971289*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(332750*Sqrt[33]) - (76163*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(166375*Sqrt[33])","A",7,5,28,0.1786,1,"{98, 150, 158, 113, 119}"
2993,1,187,0,0.06667,"\int \frac{(2+3 x)^{7/2}}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(7/2)/((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^{5/2}}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{63 (3 x+2)^{3/2}}{121 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{29933 \sqrt{1-2 x} \sqrt{3 x+2}}{219615 \sqrt{5 x+3}}+\frac{908 \sqrt{1-2 x} \sqrt{3 x+2}}{19965 (5 x+3)^{3/2}}-\frac{1847 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{33275 \sqrt{33}}-\frac{29933 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{33275 \sqrt{33}}","\frac{7 (3 x+2)^{5/2}}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{63 (3 x+2)^{3/2}}{121 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{29933 \sqrt{1-2 x} \sqrt{3 x+2}}{219615 \sqrt{5 x+3}}+\frac{908 \sqrt{1-2 x} \sqrt{3 x+2}}{19965 (5 x+3)^{3/2}}-\frac{1847 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{33275 \sqrt{33}}-\frac{29933 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{33275 \sqrt{33}}",1,"(908*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(19965*(3 + 5*x)^(3/2)) - (63*(2 + 3*x)^(3/2))/(121*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) + (7*(2 + 3*x)^(5/2))/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) + (29933*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(219615*Sqrt[3 + 5*x]) - (29933*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(33275*Sqrt[33]) - (1847*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(33275*Sqrt[33])","A",7,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2994,1,187,0,0.0663068,"\int \frac{(2+3 x)^{5/2}}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(5/2)/((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{7 (3 x+2)^{3/2}}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{2209 \sqrt{1-2 x} \sqrt{3 x+2}}{43923 \sqrt{5 x+3}}-\frac{247 \sqrt{1-2 x} \sqrt{3 x+2}}{3993 (5 x+3)^{3/2}}+\frac{14 \sqrt{3 x+2}}{121 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{494 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6655 \sqrt{33}}+\frac{2209 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6655 \sqrt{33}}","\frac{7 (3 x+2)^{3/2}}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{2209 \sqrt{1-2 x} \sqrt{3 x+2}}{43923 \sqrt{5 x+3}}-\frac{247 \sqrt{1-2 x} \sqrt{3 x+2}}{3993 (5 x+3)^{3/2}}+\frac{14 \sqrt{3 x+2}}{121 \sqrt{1-2 x} (5 x+3)^{3/2}}-\frac{494 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6655 \sqrt{33}}+\frac{2209 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{6655 \sqrt{33}}",1,"(14*Sqrt[2 + 3*x])/(121*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (247*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3993*(3 + 5*x)^(3/2)) + (7*(2 + 3*x)^(3/2))/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) - (2209*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(43923*Sqrt[3 + 5*x]) + (2209*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(6655*Sqrt[33]) - (494*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(6655*Sqrt[33])","A",7,6,28,0.2143,1,"{98, 150, 152, 158, 113, 119}"
2995,1,187,0,0.0669503,"\int \frac{(2+3 x)^{3/2}}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[(2 + 3*x)^(3/2)/((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)),x]","-\frac{2960 \sqrt{1-2 x} \sqrt{3 x+2}}{43923 \sqrt{5 x+3}}-\frac{575 \sqrt{1-2 x} \sqrt{3 x+2}}{3993 (5 x+3)^{3/2}}+\frac{26 \sqrt{3 x+2}}{121 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{7 \sqrt{3 x+2}}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{230 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1331 \sqrt{33}}+\frac{592 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1331 \sqrt{33}}","-\frac{2960 \sqrt{1-2 x} \sqrt{3 x+2}}{43923 \sqrt{5 x+3}}-\frac{575 \sqrt{1-2 x} \sqrt{3 x+2}}{3993 (5 x+3)^{3/2}}+\frac{26 \sqrt{3 x+2}}{121 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{7 \sqrt{3 x+2}}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{230 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1331 \sqrt{33}}+\frac{592 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{1331 \sqrt{33}}",1,"(7*Sqrt[2 + 3*x])/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) + (26*Sqrt[2 + 3*x])/(121*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (575*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(3993*(3 + 5*x)^(3/2)) - (2960*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(43923*Sqrt[3 + 5*x]) + (592*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1331*Sqrt[33]) - (230*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(1331*Sqrt[33])","A",7,5,28,0.1786,1,"{98, 152, 158, 113, 119}"
2996,1,187,0,0.06873,"\int \frac{\sqrt{2+3 x}}{(1-2 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[Sqrt[2 + 3*x]/((1 - 2*x)^(5/2)*(3 + 5*x)^(5/2)),x]","-\frac{22090 \sqrt{1-2 x} \sqrt{3 x+2}}{307461 \sqrt{5 x+3}}-\frac{2470 \sqrt{1-2 x} \sqrt{3 x+2}}{27951 (5 x+3)^{3/2}}+\frac{118 \sqrt{3 x+2}}{847 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{2 \sqrt{3 x+2}}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{988 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{9317 \sqrt{33}}+\frac{4418 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{9317 \sqrt{33}}","-\frac{22090 \sqrt{1-2 x} \sqrt{3 x+2}}{307461 \sqrt{5 x+3}}-\frac{2470 \sqrt{1-2 x} \sqrt{3 x+2}}{27951 (5 x+3)^{3/2}}+\frac{118 \sqrt{3 x+2}}{847 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{2 \sqrt{3 x+2}}{33 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{988 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{9317 \sqrt{33}}+\frac{4418 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{9317 \sqrt{33}}",1,"(2*Sqrt[2 + 3*x])/(33*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) + (118*Sqrt[2 + 3*x])/(847*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (2470*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(27951*(3 + 5*x)^(3/2)) - (22090*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(307461*Sqrt[3 + 5*x]) + (4418*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(9317*Sqrt[33]) - (988*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(9317*Sqrt[33])","A",7,5,28,0.1786,1,"{99, 152, 158, 113, 119}"
2997,1,187,0,0.067809,"\int \frac{1}{(1-2 x)^{5/2} \sqrt{2+3 x} (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(5/2)),x]","\frac{598660 \sqrt{1-2 x} \sqrt{3 x+2}}{2152227 \sqrt{5 x+3}}-\frac{18470 \sqrt{1-2 x} \sqrt{3 x+2}}{195657 (5 x+3)^{3/2}}+\frac{368 \sqrt{3 x+2}}{5929 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{4 \sqrt{3 x+2}}{231 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{7388 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{65219 \sqrt{33}}-\frac{119732 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{65219 \sqrt{33}}","\frac{598660 \sqrt{1-2 x} \sqrt{3 x+2}}{2152227 \sqrt{5 x+3}}-\frac{18470 \sqrt{1-2 x} \sqrt{3 x+2}}{195657 (5 x+3)^{3/2}}+\frac{368 \sqrt{3 x+2}}{5929 \sqrt{1-2 x} (5 x+3)^{3/2}}+\frac{4 \sqrt{3 x+2}}{231 (1-2 x)^{3/2} (5 x+3)^{3/2}}-\frac{7388 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{65219 \sqrt{33}}-\frac{119732 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{65219 \sqrt{33}}",1,"(4*Sqrt[2 + 3*x])/(231*(1 - 2*x)^(3/2)*(3 + 5*x)^(3/2)) + (368*Sqrt[2 + 3*x])/(5929*Sqrt[1 - 2*x]*(3 + 5*x)^(3/2)) - (18470*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(195657*(3 + 5*x)^(3/2)) + (598660*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(2152227*Sqrt[3 + 5*x]) - (119732*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(65219*Sqrt[33]) - (7388*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(65219*Sqrt[33])","A",7,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2998,1,218,0,0.0829383,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^{3/2} (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(5/2)),x]","\frac{99425780 \sqrt{1-2 x} \sqrt{3 x+2}}{15065589 \sqrt{5 x+3}}-\frac{1523260 \sqrt{1-2 x} \sqrt{3 x+2}}{1369599 (5 x+3)^{3/2}}+\frac{5034 \sqrt{1-2 x}}{41503 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{456}{5929 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{4}{231 (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{3/2}}-\frac{609304 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{456533 \sqrt{33}}-\frac{19885156 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{456533 \sqrt{33}}","\frac{99425780 \sqrt{1-2 x} \sqrt{3 x+2}}{15065589 \sqrt{5 x+3}}-\frac{1523260 \sqrt{1-2 x} \sqrt{3 x+2}}{1369599 (5 x+3)^{3/2}}+\frac{5034 \sqrt{1-2 x}}{41503 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{456}{5929 \sqrt{1-2 x} \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{4}{231 (1-2 x)^{3/2} \sqrt{3 x+2} (5 x+3)^{3/2}}-\frac{609304 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{456533 \sqrt{33}}-\frac{19885156 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{456533 \sqrt{33}}",1,"4/(231*(1 - 2*x)^(3/2)*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) + 456/(5929*Sqrt[1 - 2*x]*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) + (5034*Sqrt[1 - 2*x])/(41503*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (1523260*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(1369599*(3 + 5*x)^(3/2)) + (99425780*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(15065589*Sqrt[3 + 5*x]) - (19885156*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(456533*Sqrt[33]) - (609304*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(456533*Sqrt[33])","A",8,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
2999,1,249,0,0.1002954,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^{5/2} (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(5/2)),x]","\frac{7231789120 \sqrt{1-2 x} \sqrt{3 x+2}}{105459123 \sqrt{5 x+3}}-\frac{108842540 \sqrt{1-2 x} \sqrt{3 x+2}}{9587193 (5 x+3)^{3/2}}+\frac{488436 \sqrt{1-2 x}}{290521 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{414 \sqrt{1-2 x}}{41503 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{544}{5929 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{4}{231 (1-2 x)^{3/2} (3 x+2)^{3/2} (5 x+3)^{3/2}}-\frac{43537016 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3195731 \sqrt{33}}-\frac{1446357824 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3195731 \sqrt{33}}","\frac{7231789120 \sqrt{1-2 x} \sqrt{3 x+2}}{105459123 \sqrt{5 x+3}}-\frac{108842540 \sqrt{1-2 x} \sqrt{3 x+2}}{9587193 (5 x+3)^{3/2}}+\frac{488436 \sqrt{1-2 x}}{290521 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{414 \sqrt{1-2 x}}{41503 (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{544}{5929 \sqrt{1-2 x} (3 x+2)^{3/2} (5 x+3)^{3/2}}+\frac{4}{231 (1-2 x)^{3/2} (3 x+2)^{3/2} (5 x+3)^{3/2}}-\frac{43537016 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3195731 \sqrt{33}}-\frac{1446357824 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{3195731 \sqrt{33}}",1,"4/(231*(1 - 2*x)^(3/2)*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + 544/(5929*Sqrt[1 - 2*x]*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (414*Sqrt[1 - 2*x])/(41503*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (488436*Sqrt[1 - 2*x])/(290521*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (108842540*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(9587193*(3 + 5*x)^(3/2)) + (7231789120*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(105459123*Sqrt[3 + 5*x]) - (1446357824*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(3195731*Sqrt[33]) - (43537016*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(3195731*Sqrt[33])","A",9,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
3000,1,280,0,0.1240314,"\int \frac{1}{(1-2 x)^{5/2} (2+3 x)^{7/2} (3+5 x)^{5/2}} \, dx","Int[1/((1 - 2*x)^(5/2)*(2 + 3*x)^(7/2)*(3 + 5*x)^(5/2)),x]","\frac{412810345784 \sqrt{1-2 x} \sqrt{3 x+2}}{738213861 \sqrt{5 x+3}}-\frac{6208896328 \sqrt{1-2 x} \sqrt{3 x+2}}{67110351 (5 x+3)^{3/2}}+\frac{140700876 \sqrt{1-2 x}}{10168235 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{649224 \sqrt{1-2 x}}{1452605 (3 x+2)^{3/2} (5 x+3)^{3/2}}-\frac{3606 \sqrt{1-2 x}}{207515 (3 x+2)^{5/2} (5 x+3)^{3/2}}+\frac{632}{5929 \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{3/2}}+\frac{4}{231 (1-2 x)^{3/2} (3 x+2)^{5/2} (5 x+3)^{3/2}}-\frac{12417792656 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{111850585 \sqrt{33}}-\frac{412810345784 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{111850585 \sqrt{33}}","\frac{412810345784 \sqrt{1-2 x} \sqrt{3 x+2}}{738213861 \sqrt{5 x+3}}-\frac{6208896328 \sqrt{1-2 x} \sqrt{3 x+2}}{67110351 (5 x+3)^{3/2}}+\frac{140700876 \sqrt{1-2 x}}{10168235 \sqrt{3 x+2} (5 x+3)^{3/2}}+\frac{649224 \sqrt{1-2 x}}{1452605 (3 x+2)^{3/2} (5 x+3)^{3/2}}-\frac{3606 \sqrt{1-2 x}}{207515 (3 x+2)^{5/2} (5 x+3)^{3/2}}+\frac{632}{5929 \sqrt{1-2 x} (3 x+2)^{5/2} (5 x+3)^{3/2}}+\frac{4}{231 (1-2 x)^{3/2} (3 x+2)^{5/2} (5 x+3)^{3/2}}-\frac{12417792656 F\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{111850585 \sqrt{33}}-\frac{412810345784 E\left(\sin ^{-1}\left(\sqrt{\frac{3}{7}} \sqrt{1-2 x}\right)|\frac{35}{33}\right)}{111850585 \sqrt{33}}",1,"4/(231*(1 - 2*x)^(3/2)*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)) + 632/(5929*Sqrt[1 - 2*x]*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)) - (3606*Sqrt[1 - 2*x])/(207515*(2 + 3*x)^(5/2)*(3 + 5*x)^(3/2)) + (649224*Sqrt[1 - 2*x])/(1452605*(2 + 3*x)^(3/2)*(3 + 5*x)^(3/2)) + (140700876*Sqrt[1 - 2*x])/(10168235*Sqrt[2 + 3*x]*(3 + 5*x)^(3/2)) - (6208896328*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(67110351*(3 + 5*x)^(3/2)) + (412810345784*Sqrt[1 - 2*x]*Sqrt[2 + 3*x])/(738213861*Sqrt[3 + 5*x]) - (412810345784*EllipticE[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(111850585*Sqrt[33]) - (12417792656*EllipticF[ArcSin[Sqrt[3/7]*Sqrt[1 - 2*x]], 35/33])/(111850585*Sqrt[33])","A",10,5,28,0.1786,1,"{104, 152, 158, 113, 119}"
3001,1,571,0,0.5553926,"\int \sqrt[3]{a+b x} (c+d x)^{2/3} (e+f x)^2 \, dx","Int[(a + b*x)^(1/3)*(c + d*x)^(2/3)*(e + f*x)^2,x]","\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (b c-a d) \left(10 a^2 d^2 f^2-10 a b d f (3 d e-c f)+b^2 \left(7 c^2 f^2-24 c d e f+27 d^2 e^2\right)\right)}{81 b^3 d^3}+\frac{(a+b x)^{4/3} (c+d x)^{2/3} \left(10 a^2 d^2 f^2-10 a b d f (3 d e-c f)+b^2 \left(7 c^2 f^2-24 c d e f+27 d^2 e^2\right)\right)}{54 b^3 d^2}+\frac{(b c-a d)^2 \log (a+b x) \left(10 a^2 d^2 f^2-10 a b d f (3 d e-c f)+b^2 \left(7 c^2 f^2-24 c d e f+27 d^2 e^2\right)\right)}{486 b^{11/3} d^{10/3}}+\frac{(b c-a d)^2 \left(10 a^2 d^2 f^2-10 a b d f (3 d e-c f)+b^2 \left(7 c^2 f^2-24 c d e f+27 d^2 e^2\right)\right) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{162 b^{11/3} d^{10/3}}+\frac{(b c-a d)^2 \left(10 a^2 d^2 f^2-10 a b d f (3 d e-c f)+b^2 \left(7 c^2 f^2-24 c d e f+27 d^2 e^2\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{81 \sqrt{3} b^{11/3} d^{10/3}}+\frac{f (a+b x)^{4/3} (c+d x)^{5/3} (-8 a d f-7 b c f+15 b d e)}{36 b^2 d^2}+\frac{f (a+b x)^{4/3} (c+d x)^{5/3} (e+f x)}{4 b d}","\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (b c-a d) \left(10 a^2 d^2 f^2-10 a b d f (3 d e-c f)+b^2 \left(7 c^2 f^2-24 c d e f+27 d^2 e^2\right)\right)}{81 b^3 d^3}+\frac{(a+b x)^{4/3} (c+d x)^{2/3} \left(10 a^2 d^2 f^2-10 a b d f (3 d e-c f)+b^2 \left(7 c^2 f^2-24 c d e f+27 d^2 e^2\right)\right)}{54 b^3 d^2}+\frac{(b c-a d)^2 \log (a+b x) \left(10 a^2 d^2 f^2-10 a b d f (3 d e-c f)+b^2 \left(7 c^2 f^2-24 c d e f+27 d^2 e^2\right)\right)}{486 b^{11/3} d^{10/3}}+\frac{(b c-a d)^2 \left(10 a^2 d^2 f^2-10 a b d f (3 d e-c f)+b^2 \left(7 c^2 f^2-24 c d e f+27 d^2 e^2\right)\right) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{162 b^{11/3} d^{10/3}}+\frac{(b c-a d)^2 \left(10 a^2 d^2 f^2-10 a b d f (3 d e-c f)+b^2 \left(7 c^2 f^2-24 c d e f+27 d^2 e^2\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{81 \sqrt{3} b^{11/3} d^{10/3}}+\frac{f (a+b x)^{4/3} (c+d x)^{5/3} (-8 a d f-7 b c f+15 b d e)}{36 b^2 d^2}+\frac{f (a+b x)^{4/3} (c+d x)^{5/3} (e+f x)}{4 b d}",1,"((b*c - a*d)*(10*a^2*d^2*f^2 - 10*a*b*d*f*(3*d*e - c*f) + b^2*(27*d^2*e^2 - 24*c*d*e*f + 7*c^2*f^2))*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(81*b^3*d^3) + ((10*a^2*d^2*f^2 - 10*a*b*d*f*(3*d*e - c*f) + b^2*(27*d^2*e^2 - 24*c*d*e*f + 7*c^2*f^2))*(a + b*x)^(4/3)*(c + d*x)^(2/3))/(54*b^3*d^2) + (f*(15*b*d*e - 7*b*c*f - 8*a*d*f)*(a + b*x)^(4/3)*(c + d*x)^(5/3))/(36*b^2*d^2) + (f*(a + b*x)^(4/3)*(c + d*x)^(5/3)*(e + f*x))/(4*b*d) + ((b*c - a*d)^2*(10*a^2*d^2*f^2 - 10*a*b*d*f*(3*d*e - c*f) + b^2*(27*d^2*e^2 - 24*c*d*e*f + 7*c^2*f^2))*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/(81*Sqrt[3]*b^(11/3)*d^(10/3)) + ((b*c - a*d)^2*(10*a^2*d^2*f^2 - 10*a*b*d*f*(3*d*e - c*f) + b^2*(27*d^2*e^2 - 24*c*d*e*f + 7*c^2*f^2))*Log[a + b*x])/(486*b^(11/3)*d^(10/3)) + ((b*c - a*d)^2*(10*a^2*d^2*f^2 - 10*a*b*d*f*(3*d*e - c*f) + b^2*(27*d^2*e^2 - 24*c*d*e*f + 7*c^2*f^2))*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/(162*b^(11/3)*d^(10/3))","A",5,4,26,0.1538,1,"{90, 80, 50, 59}"
3002,1,331,0,0.2267552,"\int \sqrt[3]{a+b x} (c+d x)^{2/3} (e+f x) \, dx","Int[(a + b*x)^(1/3)*(c + d*x)^(2/3)*(e + f*x),x]","\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (b c-a d) (-5 a d f-4 b c f+9 b d e)}{27 b^2 d^2}+\frac{(b c-a d)^2 \log (a+b x) (-5 a d f-4 b c f+9 b d e)}{162 b^{8/3} d^{7/3}}+\frac{(b c-a d)^2 (-5 a d f-4 b c f+9 b d e) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{54 b^{8/3} d^{7/3}}+\frac{(b c-a d)^2 (-5 a d f-4 b c f+9 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{27 \sqrt{3} b^{8/3} d^{7/3}}+\frac{(a+b x)^{4/3} (c+d x)^{2/3} (-5 a d f-4 b c f+9 b d e)}{18 b^2 d}+\frac{f (a+b x)^{4/3} (c+d x)^{5/3}}{3 b d}","\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (b c-a d) (-5 a d f-4 b c f+9 b d e)}{27 b^2 d^2}+\frac{(b c-a d)^2 \log (a+b x) (-5 a d f-4 b c f+9 b d e)}{162 b^{8/3} d^{7/3}}+\frac{(b c-a d)^2 (-5 a d f-4 b c f+9 b d e) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{54 b^{8/3} d^{7/3}}+\frac{(b c-a d)^2 (-5 a d f-4 b c f+9 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{27 \sqrt{3} b^{8/3} d^{7/3}}+\frac{(a+b x)^{4/3} (c+d x)^{2/3} (-5 a d f-4 b c f+9 b d e)}{18 b^2 d}+\frac{f (a+b x)^{4/3} (c+d x)^{5/3}}{3 b d}",1,"((b*c - a*d)*(9*b*d*e - 4*b*c*f - 5*a*d*f)*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(27*b^2*d^2) + ((9*b*d*e - 4*b*c*f - 5*a*d*f)*(a + b*x)^(4/3)*(c + d*x)^(2/3))/(18*b^2*d) + (f*(a + b*x)^(4/3)*(c + d*x)^(5/3))/(3*b*d) + ((b*c - a*d)^2*(9*b*d*e - 4*b*c*f - 5*a*d*f)*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/(27*Sqrt[3]*b^(8/3)*d^(7/3)) + ((b*c - a*d)^2*(9*b*d*e - 4*b*c*f - 5*a*d*f)*Log[a + b*x])/(162*b^(8/3)*d^(7/3)) + ((b*c - a*d)^2*(9*b*d*e - 4*b*c*f - 5*a*d*f)*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/(54*b^(8/3)*d^(7/3))","A",4,3,24,0.1250,1,"{80, 50, 59}"
3003,1,219,0,0.0732004,"\int \sqrt[3]{a+b x} (c+d x)^{2/3} \, dx","Int[(a + b*x)^(1/3)*(c + d*x)^(2/3),x]","\frac{(b c-a d)^2 \log (a+b x)}{18 b^{5/3} d^{4/3}}+\frac{(b c-a d)^2 \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{6 b^{5/3} d^{4/3}}+\frac{(b c-a d)^2 \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} b^{5/3} d^{4/3}}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (b c-a d)}{3 b d}+\frac{(a+b x)^{4/3} (c+d x)^{2/3}}{2 b}","\frac{(b c-a d)^2 \log (a+b x)}{18 b^{5/3} d^{4/3}}+\frac{(b c-a d)^2 \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{6 b^{5/3} d^{4/3}}+\frac{(b c-a d)^2 \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} b^{5/3} d^{4/3}}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (b c-a d)}{3 b d}+\frac{(a+b x)^{4/3} (c+d x)^{2/3}}{2 b}",1,"((b*c - a*d)*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(3*b*d) + ((a + b*x)^(4/3)*(c + d*x)^(2/3))/(2*b) + ((b*c - a*d)^2*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/(3*Sqrt[3]*b^(5/3)*d^(4/3)) + ((b*c - a*d)^2*Log[a + b*x])/(18*b^(5/3)*d^(4/3)) + ((b*c - a*d)^2*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/(6*b^(5/3)*d^(4/3))","A",3,2,19,0.1053,1,"{50, 59}"
3004,1,409,0,0.3964849,"\int \frac{\sqrt[3]{a+b x} (c+d x)^{2/3}}{e+f x} \, dx","Int[((a + b*x)^(1/3)*(c + d*x)^(2/3))/(e + f*x),x]","\frac{\log (a+b x) (-a d f-2 b c f+3 b d e)}{6 b^{2/3} \sqrt[3]{d} f^2}+\frac{(-a d f-2 b c f+3 b d e) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{2 b^{2/3} \sqrt[3]{d} f^2}+\frac{(-a d f-2 b c f+3 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} b^{2/3} \sqrt[3]{d} f^2}+\frac{\sqrt[3]{b e-a f} (d e-c f)^{2/3} \log (e+f x)}{2 f^2}-\frac{3 \sqrt[3]{b e-a f} (d e-c f)^{2/3} \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{2 f^2}-\frac{\sqrt{3} \sqrt[3]{b e-a f} (d e-c f)^{2/3} \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{f^2}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3}}{f}","\frac{\log (a+b x) (-a d f-2 b c f+3 b d e)}{6 b^{2/3} \sqrt[3]{d} f^2}+\frac{(-a d f-2 b c f+3 b d e) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{2 b^{2/3} \sqrt[3]{d} f^2}+\frac{(-a d f-2 b c f+3 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} b^{2/3} \sqrt[3]{d} f^2}+\frac{\sqrt[3]{b e-a f} (d e-c f)^{2/3} \log (e+f x)}{2 f^2}-\frac{3 \sqrt[3]{b e-a f} (d e-c f)^{2/3} \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{2 f^2}-\frac{\sqrt{3} \sqrt[3]{b e-a f} (d e-c f)^{2/3} \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{f^2}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3}}{f}",1,"((a + b*x)^(1/3)*(c + d*x)^(2/3))/f + ((3*b*d*e - 2*b*c*f - a*d*f)*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/(Sqrt[3]*b^(2/3)*d^(1/3)*f^2) - (Sqrt[3]*(b*e - a*f)^(1/3)*(d*e - c*f)^(2/3)*ArcTan[1/Sqrt[3] + (2*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))])/f^2 + ((3*b*d*e - 2*b*c*f - a*d*f)*Log[a + b*x])/(6*b^(2/3)*d^(1/3)*f^2) + ((b*e - a*f)^(1/3)*(d*e - c*f)^(2/3)*Log[e + f*x])/(2*f^2) - (3*(b*e - a*f)^(1/3)*(d*e - c*f)^(2/3)*Log[-(a + b*x)^(1/3) + ((b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(d*e - c*f)^(1/3)])/(2*f^2) + ((3*b*d*e - 2*b*c*f - a*d*f)*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/(2*b^(2/3)*d^(1/3)*f^2)","A",4,4,26,0.1538,1,"{101, 157, 59, 91}"
3005,1,417,0,0.2660423,"\int \frac{\sqrt[3]{a+b x} (c+d x)^{2/3}}{(e+f x)^2} \, dx","Int[((a + b*x)^(1/3)*(c + d*x)^(2/3))/(e + f*x)^2,x]","-\frac{3 \sqrt[3]{b} d^{2/3} \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{2 f^2}-\frac{\sqrt{3} \sqrt[3]{b} d^{2/3} \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{f^2}-\frac{\log (e+f x) (-2 a d f-b c f+3 b d e)}{6 f^2 (b e-a f)^{2/3} \sqrt[3]{d e-c f}}+\frac{(-2 a d f-b c f+3 b d e) \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{2 f^2 (b e-a f)^{2/3} \sqrt[3]{d e-c f}}+\frac{(-2 a d f-b c f+3 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} f^2 (b e-a f)^{2/3} \sqrt[3]{d e-c f}}-\frac{\sqrt[3]{a+b x} (c+d x)^{2/3}}{f (e+f x)}-\frac{\sqrt[3]{b} d^{2/3} \log (a+b x)}{2 f^2}","-\frac{3 \sqrt[3]{b} d^{2/3} \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{2 f^2}-\frac{\sqrt{3} \sqrt[3]{b} d^{2/3} \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{f^2}-\frac{\log (e+f x) (-2 a d f-b c f+3 b d e)}{6 f^2 (b e-a f)^{2/3} \sqrt[3]{d e-c f}}+\frac{(-2 a d f-b c f+3 b d e) \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{2 f^2 (b e-a f)^{2/3} \sqrt[3]{d e-c f}}+\frac{(-2 a d f-b c f+3 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} f^2 (b e-a f)^{2/3} \sqrt[3]{d e-c f}}-\frac{\sqrt[3]{a+b x} (c+d x)^{2/3}}{f (e+f x)}-\frac{\sqrt[3]{b} d^{2/3} \log (a+b x)}{2 f^2}",1,"-(((a + b*x)^(1/3)*(c + d*x)^(2/3))/(f*(e + f*x))) - (Sqrt[3]*b^(1/3)*d^(2/3)*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/f^2 + ((3*b*d*e - b*c*f - 2*a*d*f)*ArcTan[1/Sqrt[3] + (2*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))])/(Sqrt[3]*f^2*(b*e - a*f)^(2/3)*(d*e - c*f)^(1/3)) - (b^(1/3)*d^(2/3)*Log[a + b*x])/(2*f^2) - ((3*b*d*e - b*c*f - 2*a*d*f)*Log[e + f*x])/(6*f^2*(b*e - a*f)^(2/3)*(d*e - c*f)^(1/3)) + ((3*b*d*e - b*c*f - 2*a*d*f)*Log[-(a + b*x)^(1/3) + ((b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(d*e - c*f)^(1/3)])/(2*f^2*(b*e - a*f)^(2/3)*(d*e - c*f)^(1/3)) - (3*b^(1/3)*d^(2/3)*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/(2*f^2)","A",4,4,26,0.1538,1,"{97, 157, 59, 91}"
3006,1,325,0,0.2250325,"\int \frac{\sqrt[3]{a+b x} (c+d x)^{2/3}}{(e+f x)^3} \, dx","Int[((a + b*x)^(1/3)*(c + d*x)^(2/3))/(e + f*x)^3,x]","-\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (b c-a d)}{6 (e+f x) (b e-a f) (d e-c f)}+\frac{\sqrt[3]{a+b x} (c+d x)^{5/3}}{2 (e+f x)^2 (d e-c f)}-\frac{(b c-a d)^2 \log (e+f x)}{18 (b e-a f)^{5/3} (d e-c f)^{4/3}}+\frac{(b c-a d)^2 \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{6 (b e-a f)^{5/3} (d e-c f)^{4/3}}+\frac{(b c-a d)^2 \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} (b e-a f)^{5/3} (d e-c f)^{4/3}}","-\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (b c-a d)}{6 (e+f x) (b e-a f) (d e-c f)}+\frac{\sqrt[3]{a+b x} (c+d x)^{5/3}}{2 (e+f x)^2 (d e-c f)}-\frac{(b c-a d)^2 \log (e+f x)}{18 (b e-a f)^{5/3} (d e-c f)^{4/3}}+\frac{(b c-a d)^2 \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{6 (b e-a f)^{5/3} (d e-c f)^{4/3}}+\frac{(b c-a d)^2 \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} (b e-a f)^{5/3} (d e-c f)^{4/3}}",1,"((a + b*x)^(1/3)*(c + d*x)^(5/3))/(2*(d*e - c*f)*(e + f*x)^2) - ((b*c - a*d)*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(6*(b*e - a*f)*(d*e - c*f)*(e + f*x)) + ((b*c - a*d)^2*ArcTan[1/Sqrt[3] + (2*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))])/(3*Sqrt[3]*(b*e - a*f)^(5/3)*(d*e - c*f)^(4/3)) - ((b*c - a*d)^2*Log[e + f*x])/(18*(b*e - a*f)^(5/3)*(d*e - c*f)^(4/3)) + ((b*c - a*d)^2*Log[-(a + b*x)^(1/3) + ((b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(d*e - c*f)^(1/3)])/(6*(b*e - a*f)^(5/3)*(d*e - c*f)^(4/3))","A",3,2,26,0.07692,1,"{94, 91}"
3007,1,465,0,0.3761374,"\int \frac{\sqrt[3]{a+b x} (c+d x)^{2/3}}{(e+f x)^4} \, dx","Int[((a + b*x)^(1/3)*(c + d*x)^(2/3))/(e + f*x)^4,x]","-\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (b c-a d) (-4 a d f-5 b c f+9 b d e)}{54 (e+f x) (b e-a f)^2 (d e-c f)^2}+\frac{\sqrt[3]{a+b x} (c+d x)^{5/3} (-4 a d f-5 b c f+9 b d e)}{18 (e+f x)^2 (b e-a f) (d e-c f)^2}-\frac{f (a+b x)^{4/3} (c+d x)^{5/3}}{3 (e+f x)^3 (b e-a f) (d e-c f)}-\frac{(b c-a d)^2 \log (e+f x) (-4 a d f-5 b c f+9 b d e)}{162 (b e-a f)^{8/3} (d e-c f)^{7/3}}+\frac{(b c-a d)^2 (-4 a d f-5 b c f+9 b d e) \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{54 (b e-a f)^{8/3} (d e-c f)^{7/3}}+\frac{(b c-a d)^2 (-4 a d f-5 b c f+9 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{27 \sqrt{3} (b e-a f)^{8/3} (d e-c f)^{7/3}}","-\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (b c-a d) (-4 a d f-5 b c f+9 b d e)}{54 (e+f x) (b e-a f)^2 (d e-c f)^2}+\frac{\sqrt[3]{a+b x} (c+d x)^{5/3} (-4 a d f-5 b c f+9 b d e)}{18 (e+f x)^2 (b e-a f) (d e-c f)^2}-\frac{f (a+b x)^{4/3} (c+d x)^{5/3}}{3 (e+f x)^3 (b e-a f) (d e-c f)}-\frac{(b c-a d)^2 \log (e+f x) (-4 a d f-5 b c f+9 b d e)}{162 (b e-a f)^{8/3} (d e-c f)^{7/3}}+\frac{(b c-a d)^2 (-4 a d f-5 b c f+9 b d e) \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{54 (b e-a f)^{8/3} (d e-c f)^{7/3}}+\frac{(b c-a d)^2 (-4 a d f-5 b c f+9 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{27 \sqrt{3} (b e-a f)^{8/3} (d e-c f)^{7/3}}",1,"-(f*(a + b*x)^(4/3)*(c + d*x)^(5/3))/(3*(b*e - a*f)*(d*e - c*f)*(e + f*x)^3) + ((9*b*d*e - 5*b*c*f - 4*a*d*f)*(a + b*x)^(1/3)*(c + d*x)^(5/3))/(18*(b*e - a*f)*(d*e - c*f)^2*(e + f*x)^2) - ((b*c - a*d)*(9*b*d*e - 5*b*c*f - 4*a*d*f)*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(54*(b*e - a*f)^2*(d*e - c*f)^2*(e + f*x)) + ((b*c - a*d)^2*(9*b*d*e - 5*b*c*f - 4*a*d*f)*ArcTan[1/Sqrt[3] + (2*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))])/(27*Sqrt[3]*(b*e - a*f)^(8/3)*(d*e - c*f)^(7/3)) - ((b*c - a*d)^2*(9*b*d*e - 5*b*c*f - 4*a*d*f)*Log[e + f*x])/(162*(b*e - a*f)^(8/3)*(d*e - c*f)^(7/3)) + ((b*c - a*d)^2*(9*b*d*e - 5*b*c*f - 4*a*d*f)*Log[-(a + b*x)^(1/3) + ((b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(d*e - c*f)^(1/3)])/(54*(b*e - a*f)^(8/3)*(d*e - c*f)^(7/3))","A",4,3,26,0.1154,1,"{96, 94, 91}"
3008,1,475,0,0.3995418,"\int \frac{\sqrt[3]{a+b x} (e+f x)^2}{\sqrt[3]{c+d x}} \, dx","Int[((a + b*x)^(1/3)*(e + f*x)^2)/(c + d*x)^(1/3),x]","\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} \left(5 a^2 d^2 f^2-2 a b d f (9 d e-4 c f)+b^2 \left(14 c^2 f^2-36 c d e f+27 d^2 e^2\right)\right)}{27 b^2 d^3}+\frac{(b c-a d) \log (a+b x) \left(5 a^2 d^2 f^2-2 a b d f (9 d e-4 c f)+b^2 \left(14 c^2 f^2-36 c d e f+27 d^2 e^2\right)\right)}{162 b^{8/3} d^{10/3}}+\frac{(b c-a d) \left(5 a^2 d^2 f^2-2 a b d f (9 d e-4 c f)+b^2 \left(14 c^2 f^2-36 c d e f+27 d^2 e^2\right)\right) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{54 b^{8/3} d^{10/3}}+\frac{(b c-a d) \left(5 a^2 d^2 f^2-2 a b d f (9 d e-4 c f)+b^2 \left(14 c^2 f^2-36 c d e f+27 d^2 e^2\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{27 \sqrt{3} b^{8/3} d^{10/3}}+\frac{f (a+b x)^{4/3} (c+d x)^{2/3} (-5 a d f-7 b c f+12 b d e)}{18 b^2 d^2}+\frac{f (a+b x)^{4/3} (c+d x)^{2/3} (e+f x)}{3 b d}","\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} \left(5 a^2 d^2 f^2-2 a b d f (9 d e-4 c f)+b^2 \left(14 c^2 f^2-36 c d e f+27 d^2 e^2\right)\right)}{27 b^2 d^3}+\frac{(b c-a d) \log (a+b x) \left(5 a^2 d^2 f^2-2 a b d f (9 d e-4 c f)+b^2 \left(14 c^2 f^2-36 c d e f+27 d^2 e^2\right)\right)}{162 b^{8/3} d^{10/3}}+\frac{(b c-a d) \left(5 a^2 d^2 f^2-2 a b d f (9 d e-4 c f)+b^2 \left(14 c^2 f^2-36 c d e f+27 d^2 e^2\right)\right) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{54 b^{8/3} d^{10/3}}+\frac{(b c-a d) \left(5 a^2 d^2 f^2-2 a b d f (9 d e-4 c f)+b^2 \left(14 c^2 f^2-36 c d e f+27 d^2 e^2\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{27 \sqrt{3} b^{8/3} d^{10/3}}+\frac{f (a+b x)^{4/3} (c+d x)^{2/3} (-5 a d f-7 b c f+12 b d e)}{18 b^2 d^2}+\frac{f (a+b x)^{4/3} (c+d x)^{2/3} (e+f x)}{3 b d}",1,"((5*a^2*d^2*f^2 - 2*a*b*d*f*(9*d*e - 4*c*f) + b^2*(27*d^2*e^2 - 36*c*d*e*f + 14*c^2*f^2))*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(27*b^2*d^3) + (f*(12*b*d*e - 7*b*c*f - 5*a*d*f)*(a + b*x)^(4/3)*(c + d*x)^(2/3))/(18*b^2*d^2) + (f*(a + b*x)^(4/3)*(c + d*x)^(2/3)*(e + f*x))/(3*b*d) + ((b*c - a*d)*(5*a^2*d^2*f^2 - 2*a*b*d*f*(9*d*e - 4*c*f) + b^2*(27*d^2*e^2 - 36*c*d*e*f + 14*c^2*f^2))*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/(27*Sqrt[3]*b^(8/3)*d^(10/3)) + ((b*c - a*d)*(5*a^2*d^2*f^2 - 2*a*b*d*f*(9*d*e - 4*c*f) + b^2*(27*d^2*e^2 - 36*c*d*e*f + 14*c^2*f^2))*Log[a + b*x])/(162*b^(8/3)*d^(10/3)) + ((b*c - a*d)*(5*a^2*d^2*f^2 - 2*a*b*d*f*(9*d*e - 4*c*f) + b^2*(27*d^2*e^2 - 36*c*d*e*f + 14*c^2*f^2))*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/(54*b^(8/3)*d^(10/3))","A",4,4,26,0.1538,1,"{90, 80, 50, 59}"
3009,1,273,0,0.1709296,"\int \frac{\sqrt[3]{a+b x} (e+f x)}{\sqrt[3]{c+d x}} \, dx","Int[((a + b*x)^(1/3)*(e + f*x))/(c + d*x)^(1/3),x]","\frac{(b c-a d) \log (a+b x) (-a d f-2 b c f+3 b d e)}{18 b^{5/3} d^{7/3}}+\frac{(b c-a d) (-a d f-2 b c f+3 b d e) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{6 b^{5/3} d^{7/3}}+\frac{(b c-a d) (-a d f-2 b c f+3 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} b^{5/3} d^{7/3}}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (-a d f-2 b c f+3 b d e)}{3 b d^2}+\frac{f (a+b x)^{4/3} (c+d x)^{2/3}}{2 b d}","\frac{(b c-a d) \log (a+b x) (-a d f-2 b c f+3 b d e)}{18 b^{5/3} d^{7/3}}+\frac{(b c-a d) (-a d f-2 b c f+3 b d e) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{6 b^{5/3} d^{7/3}}+\frac{(b c-a d) (-a d f-2 b c f+3 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} b^{5/3} d^{7/3}}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (-a d f-2 b c f+3 b d e)}{3 b d^2}+\frac{f (a+b x)^{4/3} (c+d x)^{2/3}}{2 b d}",1,"((3*b*d*e - 2*b*c*f - a*d*f)*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(3*b*d^2) + (f*(a + b*x)^(4/3)*(c + d*x)^(2/3))/(2*b*d) + ((b*c - a*d)*(3*b*d*e - 2*b*c*f - a*d*f)*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/(3*Sqrt[3]*b^(5/3)*d^(7/3)) + ((b*c - a*d)*(3*b*d*e - 2*b*c*f - a*d*f)*Log[a + b*x])/(18*b^(5/3)*d^(7/3)) + ((b*c - a*d)*(3*b*d*e - 2*b*c*f - a*d*f)*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/(6*b^(5/3)*d^(7/3))","A",3,3,24,0.1250,1,"{80, 50, 59}"
3010,1,171,0,0.0434538,"\int \frac{\sqrt[3]{a+b x}}{\sqrt[3]{c+d x}} \, dx","Int[(a + b*x)^(1/3)/(c + d*x)^(1/3),x]","\frac{(b c-a d) \log (a+b x)}{6 b^{2/3} d^{4/3}}+\frac{(b c-a d) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{2 b^{2/3} d^{4/3}}+\frac{(b c-a d) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} b^{2/3} d^{4/3}}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3}}{d}","\frac{(b c-a d) \log (a+b x)}{6 b^{2/3} d^{4/3}}+\frac{(b c-a d) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{2 b^{2/3} d^{4/3}}+\frac{(b c-a d) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} b^{2/3} d^{4/3}}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3}}{d}",1,"((a + b*x)^(1/3)*(c + d*x)^(2/3))/d + ((b*c - a*d)*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/(Sqrt[3]*b^(2/3)*d^(4/3)) + ((b*c - a*d)*Log[a + b*x])/(6*b^(2/3)*d^(4/3)) + ((b*c - a*d)*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/(2*b^(2/3)*d^(4/3))","A",2,2,19,0.1053,1,"{50, 59}"
3011,1,339,0,0.101591,"\int \frac{\sqrt[3]{a+b x}}{\sqrt[3]{c+d x} (e+f x)} \, dx","Int[(a + b*x)^(1/3)/((c + d*x)^(1/3)*(e + f*x)),x]","-\frac{\sqrt[3]{b e-a f} \log (e+f x)}{2 f \sqrt[3]{d e-c f}}+\frac{3 \sqrt[3]{b e-a f} \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{2 f \sqrt[3]{d e-c f}}+\frac{\sqrt{3} \sqrt[3]{b e-a f} \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{f \sqrt[3]{d e-c f}}-\frac{3 \sqrt[3]{b} \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{2 \sqrt[3]{d} f}-\frac{\sqrt{3} \sqrt[3]{b} \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{\sqrt[3]{d} f}-\frac{\sqrt[3]{b} \log (a+b x)}{2 \sqrt[3]{d} f}","-\frac{\sqrt[3]{b e-a f} \log (e+f x)}{2 f \sqrt[3]{d e-c f}}+\frac{3 \sqrt[3]{b e-a f} \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{2 f \sqrt[3]{d e-c f}}+\frac{\sqrt{3} \sqrt[3]{b e-a f} \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{f \sqrt[3]{d e-c f}}-\frac{3 \sqrt[3]{b} \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{2 \sqrt[3]{d} f}-\frac{\sqrt{3} \sqrt[3]{b} \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{\sqrt[3]{d} f}-\frac{\sqrt[3]{b} \log (a+b x)}{2 \sqrt[3]{d} f}",1,"-((Sqrt[3]*b^(1/3)*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/(d^(1/3)*f)) + (Sqrt[3]*(b*e - a*f)^(1/3)*ArcTan[1/Sqrt[3] + (2*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))])/(f*(d*e - c*f)^(1/3)) - (b^(1/3)*Log[a + b*x])/(2*d^(1/3)*f) - ((b*e - a*f)^(1/3)*Log[e + f*x])/(2*f*(d*e - c*f)^(1/3)) + (3*(b*e - a*f)^(1/3)*Log[-(a + b*x)^(1/3) + ((b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(d*e - c*f)^(1/3)])/(2*f*(d*e - c*f)^(1/3)) - (3*b^(1/3)*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/(2*d^(1/3)*f)","A",3,3,26,0.1154,1,"{105, 59, 91}"
3012,1,256,0,0.0798486,"\int \frac{\sqrt[3]{a+b x}}{\sqrt[3]{c+d x} (e+f x)^2} \, dx","Int[(a + b*x)^(1/3)/((c + d*x)^(1/3)*(e + f*x)^2),x]","\frac{\sqrt[3]{a+b x} (c+d x)^{2/3}}{(e+f x) (d e-c f)}-\frac{(b c-a d) \log (e+f x)}{6 (b e-a f)^{2/3} (d e-c f)^{4/3}}+\frac{(b c-a d) \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{2 (b e-a f)^{2/3} (d e-c f)^{4/3}}+\frac{(b c-a d) \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} (b e-a f)^{2/3} (d e-c f)^{4/3}}","\frac{\sqrt[3]{a+b x} (c+d x)^{2/3}}{(e+f x) (d e-c f)}-\frac{(b c-a d) \log (e+f x)}{6 (b e-a f)^{2/3} (d e-c f)^{4/3}}+\frac{(b c-a d) \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{2 (b e-a f)^{2/3} (d e-c f)^{4/3}}+\frac{(b c-a d) \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} (b e-a f)^{2/3} (d e-c f)^{4/3}}",1,"((a + b*x)^(1/3)*(c + d*x)^(2/3))/((d*e - c*f)*(e + f*x)) + ((b*c - a*d)*ArcTan[1/Sqrt[3] + (2*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))])/(Sqrt[3]*(b*e - a*f)^(2/3)*(d*e - c*f)^(4/3)) - ((b*c - a*d)*Log[e + f*x])/(6*(b*e - a*f)^(2/3)*(d*e - c*f)^(4/3)) + ((b*c - a*d)*Log[-(a + b*x)^(1/3) + ((b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(d*e - c*f)^(1/3)])/(2*(b*e - a*f)^(2/3)*(d*e - c*f)^(4/3))","A",2,2,26,0.07692,1,"{94, 91}"
3013,1,386,0,0.1869717,"\int \frac{\sqrt[3]{a+b x}}{\sqrt[3]{c+d x} (e+f x)^3} \, dx","Int[(a + b*x)^(1/3)/((c + d*x)^(1/3)*(e + f*x)^3),x]","-\frac{f (a+b x)^{4/3} (c+d x)^{2/3}}{2 (e+f x)^2 (b e-a f) (d e-c f)}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (-2 a d f-b c f+3 b d e)}{3 (e+f x) (b e-a f) (d e-c f)^2}-\frac{(b c-a d) \log (e+f x) (-2 a d f-b c f+3 b d e)}{18 (b e-a f)^{5/3} (d e-c f)^{7/3}}+\frac{(b c-a d) (-2 a d f-b c f+3 b d e) \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{6 (b e-a f)^{5/3} (d e-c f)^{7/3}}+\frac{(b c-a d) (-2 a d f-b c f+3 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} (b e-a f)^{5/3} (d e-c f)^{7/3}}","-\frac{f (a+b x)^{4/3} (c+d x)^{2/3}}{2 (e+f x)^2 (b e-a f) (d e-c f)}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (-2 a d f-b c f+3 b d e)}{3 (e+f x) (b e-a f) (d e-c f)^2}-\frac{(b c-a d) \log (e+f x) (-2 a d f-b c f+3 b d e)}{18 (b e-a f)^{5/3} (d e-c f)^{7/3}}+\frac{(b c-a d) (-2 a d f-b c f+3 b d e) \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{6 (b e-a f)^{5/3} (d e-c f)^{7/3}}+\frac{(b c-a d) (-2 a d f-b c f+3 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} (b e-a f)^{5/3} (d e-c f)^{7/3}}",1,"-(f*(a + b*x)^(4/3)*(c + d*x)^(2/3))/(2*(b*e - a*f)*(d*e - c*f)*(e + f*x)^2) + ((3*b*d*e - b*c*f - 2*a*d*f)*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(3*(b*e - a*f)*(d*e - c*f)^2*(e + f*x)) + ((b*c - a*d)*(3*b*d*e - b*c*f - 2*a*d*f)*ArcTan[1/Sqrt[3] + (2*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))])/(3*Sqrt[3]*(b*e - a*f)^(5/3)*(d*e - c*f)^(7/3)) - ((b*c - a*d)*(3*b*d*e - b*c*f - 2*a*d*f)*Log[e + f*x])/(18*(b*e - a*f)^(5/3)*(d*e - c*f)^(7/3)) + ((b*c - a*d)*(3*b*d*e - b*c*f - 2*a*d*f)*Log[-(a + b*x)^(1/3) + ((b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(d*e - c*f)^(1/3)])/(6*(b*e - a*f)^(5/3)*(d*e - c*f)^(7/3))","A",3,3,26,0.1154,1,"{96, 94, 91}"
3014,1,591,0,0.991362,"\int \frac{\sqrt[3]{a+b x}}{\sqrt[3]{c+d x} (e+f x)^4} \, dx","Int[(a + b*x)^(1/3)/((c + d*x)^(1/3)*(e + f*x)^4),x]","\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} \left(28 a^2 d^2 f^2-a b d f (5 c f+51 d e)+b^2 \left(-5 c^2 f^2+15 c d e f+18 d^2 e^2\right)\right)}{54 (e+f x) (b e-a f)^2 (d e-c f)^3}-\frac{(b c-a d) \log (e+f x) \left(14 a^2 d^2 f^2-4 a b d f (9 d e-2 c f)+b^2 \left(5 c^2 f^2-18 c d e f+27 d^2 e^2\right)\right)}{162 (b e-a f)^{8/3} (d e-c f)^{10/3}}+\frac{(b c-a d) \left(14 a^2 d^2 f^2-4 a b d f (9 d e-2 c f)+b^2 \left(5 c^2 f^2-18 c d e f+27 d^2 e^2\right)\right) \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{54 (b e-a f)^{8/3} (d e-c f)^{10/3}}+\frac{(b c-a d) \left(14 a^2 d^2 f^2-4 a b d f (9 d e-2 c f)+b^2 \left(5 c^2 f^2-18 c d e f+27 d^2 e^2\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{27 \sqrt{3} (b e-a f)^{8/3} (d e-c f)^{10/3}}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (-7 a d f+b c f+6 b d e)}{18 (e+f x)^2 (b e-a f) (d e-c f)^2}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3}}{3 (e+f x)^3 (d e-c f)}","\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} \left(28 a^2 d^2 f^2-a b d f (5 c f+51 d e)+b^2 \left(-5 c^2 f^2+15 c d e f+18 d^2 e^2\right)\right)}{54 (e+f x) (b e-a f)^2 (d e-c f)^3}-\frac{(b c-a d) \log (e+f x) \left(14 a^2 d^2 f^2-4 a b d f (9 d e-2 c f)+b^2 \left(5 c^2 f^2-18 c d e f+27 d^2 e^2\right)\right)}{162 (b e-a f)^{8/3} (d e-c f)^{10/3}}+\frac{(b c-a d) \left(14 a^2 d^2 f^2-4 a b d f (9 d e-2 c f)+b^2 \left(5 c^2 f^2-18 c d e f+27 d^2 e^2\right)\right) \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{54 (b e-a f)^{8/3} (d e-c f)^{10/3}}+\frac{(b c-a d) \left(14 a^2 d^2 f^2-4 a b d f (9 d e-2 c f)+b^2 \left(5 c^2 f^2-18 c d e f+27 d^2 e^2\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{27 \sqrt{3} (b e-a f)^{8/3} (d e-c f)^{10/3}}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (-7 a d f+b c f+6 b d e)}{18 (e+f x)^2 (b e-a f) (d e-c f)^2}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3}}{3 (e+f x)^3 (d e-c f)}",1,"((a + b*x)^(1/3)*(c + d*x)^(2/3))/(3*(d*e - c*f)*(e + f*x)^3) + ((6*b*d*e + b*c*f - 7*a*d*f)*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(18*(b*e - a*f)*(d*e - c*f)^2*(e + f*x)^2) + ((28*a^2*d^2*f^2 - a*b*d*f*(51*d*e + 5*c*f) + b^2*(18*d^2*e^2 + 15*c*d*e*f - 5*c^2*f^2))*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(54*(b*e - a*f)^2*(d*e - c*f)^3*(e + f*x)) + ((b*c - a*d)*(14*a^2*d^2*f^2 - 4*a*b*d*f*(9*d*e - 2*c*f) + b^2*(27*d^2*e^2 - 18*c*d*e*f + 5*c^2*f^2))*ArcTan[1/Sqrt[3] + (2*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))])/(27*Sqrt[3]*(b*e - a*f)^(8/3)*(d*e - c*f)^(10/3)) - ((b*c - a*d)*(14*a^2*d^2*f^2 - 4*a*b*d*f*(9*d*e - 2*c*f) + b^2*(27*d^2*e^2 - 18*c*d*e*f + 5*c^2*f^2))*Log[e + f*x])/(162*(b*e - a*f)^(8/3)*(d*e - c*f)^(10/3)) + ((b*c - a*d)*(14*a^2*d^2*f^2 - 4*a*b*d*f*(9*d*e - 2*c*f) + b^2*(27*d^2*e^2 - 18*c*d*e*f + 5*c^2*f^2))*Log[-(a + b*x)^(1/3) + ((b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(d*e - c*f)^(1/3)])/(54*(b*e - a*f)^(8/3)*(d*e - c*f)^(10/3))","A",5,4,26,0.1538,1,"{99, 151, 12, 91}"
3015,1,587,0,0.4811271,"\int \frac{(e+f x)^3}{\sqrt[3]{a+b x} (c+d x)^{2/3}} \, dx","Int[(e + f*x)^3/((a + b*x)^(1/3)*(c + d*x)^(2/3)),x]","\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x} \left(28 a^2 d^2 f^2+3 b d f x (-7 a d f-8 b c f+15 b d e)-a b d f (108 d e-31 c f)+b^2 \left(40 c^2 f^2-135 c d e f+144 d^2 e^2\right)\right)}{54 b^3 d^3}+\frac{\log (c+d x) \left(-6 a^2 b d^2 f^2 (9 d e-2 c f)+14 a^3 d^3 f^3+3 a b^2 d f \left(5 c^2 f^2-18 c d e f+27 d^2 e^2\right)+b^3 \left(-\left(135 c^2 d e f^2-40 c^3 f^3-162 c d^2 e^2 f+81 d^3 e^3\right)\right)\right)}{162 b^{10/3} d^{11/3}}+\frac{\left(-6 a^2 b d^2 f^2 (9 d e-2 c f)+14 a^3 d^3 f^3+3 a b^2 d f \left(5 c^2 f^2-18 c d e f+27 d^2 e^2\right)+b^3 \left(-\left(135 c^2 d e f^2-40 c^3 f^3-162 c d^2 e^2 f+81 d^3 e^3\right)\right)\right) \log \left(\frac{\sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt[3]{b} \sqrt[3]{c+d x}}-1\right)}{54 b^{10/3} d^{11/3}}+\frac{\left(-6 a^2 b d^2 f^2 (9 d e-2 c f)+14 a^3 d^3 f^3+3 a b^2 d f \left(5 c^2 f^2-18 c d e f+27 d^2 e^2\right)+b^3 \left(-\left(135 c^2 d e f^2-40 c^3 f^3-162 c d^2 e^2 f+81 d^3 e^3\right)\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt{3} \sqrt[3]{b} \sqrt[3]{c+d x}}+\frac{1}{\sqrt{3}}\right)}{27 \sqrt{3} b^{10/3} d^{11/3}}+\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x} (e+f x)^2}{3 b d}","\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x} \left(28 a^2 d^2 f^2+3 b d f x (-7 a d f-8 b c f+15 b d e)-a b d f (108 d e-31 c f)+b^2 \left(40 c^2 f^2-135 c d e f+144 d^2 e^2\right)\right)}{54 b^3 d^3}+\frac{\log (c+d x) \left(-6 a^2 b d^2 f^2 (9 d e-2 c f)+14 a^3 d^3 f^3+3 a b^2 d f \left(5 c^2 f^2-18 c d e f+27 d^2 e^2\right)+b^3 \left(-\left(135 c^2 d e f^2-40 c^3 f^3-162 c d^2 e^2 f+81 d^3 e^3\right)\right)\right)}{162 b^{10/3} d^{11/3}}+\frac{\left(-6 a^2 b d^2 f^2 (9 d e-2 c f)+14 a^3 d^3 f^3+3 a b^2 d f \left(5 c^2 f^2-18 c d e f+27 d^2 e^2\right)+b^3 \left(-\left(135 c^2 d e f^2-40 c^3 f^3-162 c d^2 e^2 f+81 d^3 e^3\right)\right)\right) \log \left(\frac{\sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt[3]{b} \sqrt[3]{c+d x}}-1\right)}{54 b^{10/3} d^{11/3}}+\frac{\left(-6 a^2 b d^2 f^2 (9 d e-2 c f)+14 a^3 d^3 f^3+3 a b^2 d f \left(5 c^2 f^2-18 c d e f+27 d^2 e^2\right)+b^3 \left(-\left(135 c^2 d e f^2-40 c^3 f^3-162 c d^2 e^2 f+81 d^3 e^3\right)\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt{3} \sqrt[3]{b} \sqrt[3]{c+d x}}+\frac{1}{\sqrt{3}}\right)}{27 \sqrt{3} b^{10/3} d^{11/3}}+\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x} (e+f x)^2}{3 b d}",1,"(f*(a + b*x)^(2/3)*(c + d*x)^(1/3)*(e + f*x)^2)/(3*b*d) + (f*(a + b*x)^(2/3)*(c + d*x)^(1/3)*(28*a^2*d^2*f^2 - a*b*d*f*(108*d*e - 31*c*f) + b^2*(144*d^2*e^2 - 135*c*d*e*f + 40*c^2*f^2) + 3*b*d*f*(15*b*d*e - 8*b*c*f - 7*a*d*f)*x))/(54*b^3*d^3) + ((14*a^3*d^3*f^3 - 6*a^2*b*d^2*f^2*(9*d*e - 2*c*f) + 3*a*b^2*d*f*(27*d^2*e^2 - 18*c*d*e*f + 5*c^2*f^2) - b^3*(81*d^3*e^3 - 162*c*d^2*e^2*f + 135*c^2*d*e*f^2 - 40*c^3*f^3))*ArcTan[1/Sqrt[3] + (2*d^(1/3)*(a + b*x)^(1/3))/(Sqrt[3]*b^(1/3)*(c + d*x)^(1/3))])/(27*Sqrt[3]*b^(10/3)*d^(11/3)) + ((14*a^3*d^3*f^3 - 6*a^2*b*d^2*f^2*(9*d*e - 2*c*f) + 3*a*b^2*d*f*(27*d^2*e^2 - 18*c*d*e*f + 5*c^2*f^2) - b^3*(81*d^3*e^3 - 162*c*d^2*e^2*f + 135*c^2*d*e*f^2 - 40*c^3*f^3))*Log[c + d*x])/(162*b^(10/3)*d^(11/3)) + ((14*a^3*d^3*f^3 - 6*a^2*b*d^2*f^2*(9*d*e - 2*c*f) + 3*a*b^2*d*f*(27*d^2*e^2 - 18*c*d*e*f + 5*c^2*f^2) - b^3*(81*d^3*e^3 - 162*c*d^2*e^2*f + 135*c^2*d*e*f^2 - 40*c^3*f^3))*Log[-1 + (d^(1/3)*(a + b*x)^(1/3))/(b^(1/3)*(c + d*x)^(1/3))])/(54*b^(10/3)*d^(11/3))","A",3,3,26,0.1154,1,"{100, 147, 59}"
3016,1,369,0,0.2969123,"\int \frac{(e+f x)^2}{\sqrt[3]{a+b x} (c+d x)^{2/3}} \, dx","Int[(e + f*x)^2/((a + b*x)^(1/3)*(c + d*x)^(2/3)),x]","-\frac{\log (c+d x) \left(2 a^2 d^2 f^2-2 a b d f (3 d e-c f)+b^2 \left(5 c^2 f^2-12 c d e f+9 d^2 e^2\right)\right)}{18 b^{7/3} d^{8/3}}-\frac{\left(2 a^2 d^2 f^2-2 a b d f (3 d e-c f)+b^2 \left(5 c^2 f^2-12 c d e f+9 d^2 e^2\right)\right) \log \left(\frac{\sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt[3]{b} \sqrt[3]{c+d x}}-1\right)}{6 b^{7/3} d^{8/3}}-\frac{\left(2 a^2 d^2 f^2-2 a b d f (3 d e-c f)+b^2 \left(5 c^2 f^2-12 c d e f+9 d^2 e^2\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt{3} \sqrt[3]{b} \sqrt[3]{c+d x}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} b^{7/3} d^{8/3}}+\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x} (-4 a d f-5 b c f+9 b d e)}{6 b^2 d^2}+\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x} (e+f x)}{2 b d}","-\frac{\log (c+d x) \left(2 a^2 d^2 f^2-2 a b d f (3 d e-c f)+b^2 \left(5 c^2 f^2-12 c d e f+9 d^2 e^2\right)\right)}{18 b^{7/3} d^{8/3}}-\frac{\left(2 a^2 d^2 f^2-2 a b d f (3 d e-c f)+b^2 \left(5 c^2 f^2-12 c d e f+9 d^2 e^2\right)\right) \log \left(\frac{\sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt[3]{b} \sqrt[3]{c+d x}}-1\right)}{6 b^{7/3} d^{8/3}}-\frac{\left(2 a^2 d^2 f^2-2 a b d f (3 d e-c f)+b^2 \left(5 c^2 f^2-12 c d e f+9 d^2 e^2\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt{3} \sqrt[3]{b} \sqrt[3]{c+d x}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} b^{7/3} d^{8/3}}+\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x} (-4 a d f-5 b c f+9 b d e)}{6 b^2 d^2}+\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x} (e+f x)}{2 b d}",1,"(f*(9*b*d*e - 5*b*c*f - 4*a*d*f)*(a + b*x)^(2/3)*(c + d*x)^(1/3))/(6*b^2*d^2) + (f*(a + b*x)^(2/3)*(c + d*x)^(1/3)*(e + f*x))/(2*b*d) - ((2*a^2*d^2*f^2 - 2*a*b*d*f*(3*d*e - c*f) + b^2*(9*d^2*e^2 - 12*c*d*e*f + 5*c^2*f^2))*ArcTan[1/Sqrt[3] + (2*d^(1/3)*(a + b*x)^(1/3))/(Sqrt[3]*b^(1/3)*(c + d*x)^(1/3))])/(3*Sqrt[3]*b^(7/3)*d^(8/3)) - ((2*a^2*d^2*f^2 - 2*a*b*d*f*(3*d*e - c*f) + b^2*(9*d^2*e^2 - 12*c*d*e*f + 5*c^2*f^2))*Log[c + d*x])/(18*b^(7/3)*d^(8/3)) - ((2*a^2*d^2*f^2 - 2*a*b*d*f*(3*d*e - c*f) + b^2*(9*d^2*e^2 - 12*c*d*e*f + 5*c^2*f^2))*Log[-1 + (d^(1/3)*(a + b*x)^(1/3))/(b^(1/3)*(c + d*x)^(1/3))])/(6*b^(7/3)*d^(8/3))","A",3,3,26,0.1154,1,"{90, 80, 59}"
3017,1,200,0,0.1074975,"\int \frac{e+f x}{\sqrt[3]{a+b x} (c+d x)^{2/3}} \, dx","Int[(e + f*x)/((a + b*x)^(1/3)*(c + d*x)^(2/3)),x]","-\frac{\log (c+d x) (-a d f-2 b c f+3 b d e)}{6 b^{4/3} d^{5/3}}-\frac{(-a d f-2 b c f+3 b d e) \log \left(\frac{\sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt[3]{b} \sqrt[3]{c+d x}}-1\right)}{2 b^{4/3} d^{5/3}}-\frac{(-a d f-2 b c f+3 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt{3} \sqrt[3]{b} \sqrt[3]{c+d x}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} b^{4/3} d^{5/3}}+\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x}}{b d}","-\frac{\log (c+d x) (-a d f-2 b c f+3 b d e)}{6 b^{4/3} d^{5/3}}-\frac{(-a d f-2 b c f+3 b d e) \log \left(\frac{\sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt[3]{b} \sqrt[3]{c+d x}}-1\right)}{2 b^{4/3} d^{5/3}}-\frac{(-a d f-2 b c f+3 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt{3} \sqrt[3]{b} \sqrt[3]{c+d x}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} b^{4/3} d^{5/3}}+\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x}}{b d}",1,"(f*(a + b*x)^(2/3)*(c + d*x)^(1/3))/(b*d) - ((3*b*d*e - 2*b*c*f - a*d*f)*ArcTan[1/Sqrt[3] + (2*d^(1/3)*(a + b*x)^(1/3))/(Sqrt[3]*b^(1/3)*(c + d*x)^(1/3))])/(Sqrt[3]*b^(4/3)*d^(5/3)) - ((3*b*d*e - 2*b*c*f - a*d*f)*Log[c + d*x])/(6*b^(4/3)*d^(5/3)) - ((3*b*d*e - 2*b*c*f - a*d*f)*Log[-1 + (d^(1/3)*(a + b*x)^(1/3))/(b^(1/3)*(c + d*x)^(1/3))])/(2*b^(4/3)*d^(5/3))","A",2,2,24,0.08333,1,"{80, 59}"
3018,1,126,0,0.015162,"\int \frac{1}{\sqrt[3]{a+b x} (c+d x)^{2/3}} \, dx","Int[1/((a + b*x)^(1/3)*(c + d*x)^(2/3)),x]","-\frac{3 \log \left(\frac{\sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt[3]{b} \sqrt[3]{c+d x}}-1\right)}{2 \sqrt[3]{b} d^{2/3}}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{2 \sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt{3} \sqrt[3]{b} \sqrt[3]{c+d x}}+\frac{1}{\sqrt{3}}\right)}{\sqrt[3]{b} d^{2/3}}-\frac{\log (c+d x)}{2 \sqrt[3]{b} d^{2/3}}","-\frac{3 \log \left(\frac{\sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt[3]{b} \sqrt[3]{c+d x}}-1\right)}{2 \sqrt[3]{b} d^{2/3}}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{2 \sqrt[3]{d} \sqrt[3]{a+b x}}{\sqrt{3} \sqrt[3]{b} \sqrt[3]{c+d x}}+\frac{1}{\sqrt{3}}\right)}{\sqrt[3]{b} d^{2/3}}-\frac{\log (c+d x)}{2 \sqrt[3]{b} d^{2/3}}",1,"-((Sqrt[3]*ArcTan[1/Sqrt[3] + (2*d^(1/3)*(a + b*x)^(1/3))/(Sqrt[3]*b^(1/3)*(c + d*x)^(1/3))])/(b^(1/3)*d^(2/3))) - Log[c + d*x]/(2*b^(1/3)*d^(2/3)) - (3*Log[-1 + (d^(1/3)*(a + b*x)^(1/3))/(b^(1/3)*(c + d*x)^(1/3))])/(2*b^(1/3)*d^(2/3))","A",1,1,19,0.05263,1,"{59}"
3019,1,197,0,0.0718637,"\int \frac{1}{\sqrt[3]{a+b x} (c+d x)^{2/3} (e+f x)} \, dx","Int[1/((a + b*x)^(1/3)*(c + d*x)^(2/3)*(e + f*x)),x]","\frac{\log (e+f x)}{2 \sqrt[3]{b e-a f} (d e-c f)^{2/3}}-\frac{3 \log \left(\frac{\sqrt[3]{a+b x} \sqrt[3]{d e-c f}}{\sqrt[3]{b e-a f}}-\sqrt[3]{c+d x}\right)}{2 \sqrt[3]{b e-a f} (d e-c f)^{2/3}}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{2 \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}{\sqrt{3} \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}+\frac{1}{\sqrt{3}}\right)}{\sqrt[3]{b e-a f} (d e-c f)^{2/3}}","\frac{\log (e+f x)}{2 \sqrt[3]{b e-a f} (d e-c f)^{2/3}}-\frac{3 \log \left(\frac{\sqrt[3]{a+b x} \sqrt[3]{d e-c f}}{\sqrt[3]{b e-a f}}-\sqrt[3]{c+d x}\right)}{2 \sqrt[3]{b e-a f} (d e-c f)^{2/3}}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{2 \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}{\sqrt{3} \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}+\frac{1}{\sqrt{3}}\right)}{\sqrt[3]{b e-a f} (d e-c f)^{2/3}}",1,"-((Sqrt[3]*ArcTan[1/Sqrt[3] + (2*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))/(Sqrt[3]*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))])/((b*e - a*f)^(1/3)*(d*e - c*f)^(2/3))) + Log[e + f*x]/(2*(b*e - a*f)^(1/3)*(d*e - c*f)^(2/3)) - (3*Log[((d*e - c*f)^(1/3)*(a + b*x)^(1/3))/(b*e - a*f)^(1/3) - (c + d*x)^(1/3)])/(2*(b*e - a*f)^(1/3)*(d*e - c*f)^(2/3))","A",1,1,26,0.03846,1,"{91}"
3020,1,293,0,0.1736326,"\int \frac{1}{\sqrt[3]{a+b x} (c+d x)^{2/3} (e+f x)^2} \, dx","Int[1/((a + b*x)^(1/3)*(c + d*x)^(2/3)*(e + f*x)^2),x]","-\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x}}{(e+f x) (b e-a f) (d e-c f)}+\frac{\log (e+f x) (-2 a d f-b c f+3 b d e)}{6 (b e-a f)^{4/3} (d e-c f)^{5/3}}-\frac{(-2 a d f-b c f+3 b d e) \log \left(\frac{\sqrt[3]{a+b x} \sqrt[3]{d e-c f}}{\sqrt[3]{b e-a f}}-\sqrt[3]{c+d x}\right)}{2 (b e-a f)^{4/3} (d e-c f)^{5/3}}-\frac{(-2 a d f-b c f+3 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}{\sqrt{3} \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} (b e-a f)^{4/3} (d e-c f)^{5/3}}","-\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x}}{(e+f x) (b e-a f) (d e-c f)}+\frac{\log (e+f x) (-2 a d f-b c f+3 b d e)}{6 (b e-a f)^{4/3} (d e-c f)^{5/3}}-\frac{(-2 a d f-b c f+3 b d e) \log \left(\frac{\sqrt[3]{a+b x} \sqrt[3]{d e-c f}}{\sqrt[3]{b e-a f}}-\sqrt[3]{c+d x}\right)}{2 (b e-a f)^{4/3} (d e-c f)^{5/3}}-\frac{(-2 a d f-b c f+3 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}{\sqrt{3} \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} (b e-a f)^{4/3} (d e-c f)^{5/3}}",1,"-((f*(a + b*x)^(2/3)*(c + d*x)^(1/3))/((b*e - a*f)*(d*e - c*f)*(e + f*x))) - ((3*b*d*e - b*c*f - 2*a*d*f)*ArcTan[1/Sqrt[3] + (2*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))/(Sqrt[3]*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))])/(Sqrt[3]*(b*e - a*f)^(4/3)*(d*e - c*f)^(5/3)) + ((3*b*d*e - b*c*f - 2*a*d*f)*Log[e + f*x])/(6*(b*e - a*f)^(4/3)*(d*e - c*f)^(5/3)) - ((3*b*d*e - b*c*f - 2*a*d*f)*Log[((d*e - c*f)^(1/3)*(a + b*x)^(1/3))/(b*e - a*f)^(1/3) - (c + d*x)^(1/3)])/(2*(b*e - a*f)^(4/3)*(d*e - c*f)^(5/3))","A",2,2,26,0.07692,1,"{96, 91}"
3021,1,477,0,0.63327,"\int \frac{1}{\sqrt[3]{a+b x} (c+d x)^{2/3} (e+f x)^3} \, dx","Int[1/((a + b*x)^(1/3)*(c + d*x)^(2/3)*(e + f*x)^3),x]","\frac{\log (e+f x) \left(5 a^2 d^2 f^2-2 a b d f (6 d e-c f)+b^2 \left(2 c^2 f^2-6 c d e f+9 d^2 e^2\right)\right)}{18 (b e-a f)^{7/3} (d e-c f)^{8/3}}-\frac{\left(5 a^2 d^2 f^2-2 a b d f (6 d e-c f)+b^2 \left(2 c^2 f^2-6 c d e f+9 d^2 e^2\right)\right) \log \left(\frac{\sqrt[3]{a+b x} \sqrt[3]{d e-c f}}{\sqrt[3]{b e-a f}}-\sqrt[3]{c+d x}\right)}{6 (b e-a f)^{7/3} (d e-c f)^{8/3}}-\frac{\left(5 a^2 d^2 f^2-2 a b d f (6 d e-c f)+b^2 \left(2 c^2 f^2-6 c d e f+9 d^2 e^2\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}{\sqrt{3} \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} (b e-a f)^{7/3} (d e-c f)^{8/3}}-\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x} (-5 a d f-4 b c f+9 b d e)}{6 (e+f x) (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x}}{2 (e+f x)^2 (b e-a f) (d e-c f)}","\frac{\log (e+f x) \left(5 a^2 d^2 f^2-2 a b d f (6 d e-c f)+b^2 \left(2 c^2 f^2-6 c d e f+9 d^2 e^2\right)\right)}{18 (b e-a f)^{7/3} (d e-c f)^{8/3}}-\frac{\left(5 a^2 d^2 f^2-2 a b d f (6 d e-c f)+b^2 \left(2 c^2 f^2-6 c d e f+9 d^2 e^2\right)\right) \log \left(\frac{\sqrt[3]{a+b x} \sqrt[3]{d e-c f}}{\sqrt[3]{b e-a f}}-\sqrt[3]{c+d x}\right)}{6 (b e-a f)^{7/3} (d e-c f)^{8/3}}-\frac{\left(5 a^2 d^2 f^2-2 a b d f (6 d e-c f)+b^2 \left(2 c^2 f^2-6 c d e f+9 d^2 e^2\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}{\sqrt{3} \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} (b e-a f)^{7/3} (d e-c f)^{8/3}}-\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x} (-5 a d f-4 b c f+9 b d e)}{6 (e+f x) (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{2/3} \sqrt[3]{c+d x}}{2 (e+f x)^2 (b e-a f) (d e-c f)}",1,"-(f*(a + b*x)^(2/3)*(c + d*x)^(1/3))/(2*(b*e - a*f)*(d*e - c*f)*(e + f*x)^2) - (f*(9*b*d*e - 4*b*c*f - 5*a*d*f)*(a + b*x)^(2/3)*(c + d*x)^(1/3))/(6*(b*e - a*f)^2*(d*e - c*f)^2*(e + f*x)) - ((5*a^2*d^2*f^2 - 2*a*b*d*f*(6*d*e - c*f) + b^2*(9*d^2*e^2 - 6*c*d*e*f + 2*c^2*f^2))*ArcTan[1/Sqrt[3] + (2*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))/(Sqrt[3]*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))])/(3*Sqrt[3]*(b*e - a*f)^(7/3)*(d*e - c*f)^(8/3)) + ((5*a^2*d^2*f^2 - 2*a*b*d*f*(6*d*e - c*f) + b^2*(9*d^2*e^2 - 6*c*d*e*f + 2*c^2*f^2))*Log[e + f*x])/(18*(b*e - a*f)^(7/3)*(d*e - c*f)^(8/3)) - ((5*a^2*d^2*f^2 - 2*a*b*d*f*(6*d*e - c*f) + b^2*(9*d^2*e^2 - 6*c*d*e*f + 2*c^2*f^2))*Log[((d*e - c*f)^(1/3)*(a + b*x)^(1/3))/(b*e - a*f)^(1/3) - (c + d*x)^(1/3)])/(6*(b*e - a*f)^(7/3)*(d*e - c*f)^(8/3))","A",4,4,26,0.1538,1,"{129, 151, 12, 91}"
3022,1,1389,0,2.5286214,"\int \frac{(a+b x)^3}{\sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x}} \, dx","Int[(a + b*x)^3/((c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)),x]","\frac{81 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{11/3}}{224 b^{2/3} d^4 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{27\ 3^{3/4} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{11/3}}{56 \sqrt{2} b^{2/3} d^4 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{81 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} (b c-a d)^3}{112 b^{2/3} d^6 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}+\frac{9 (c+d x)^{2/3} (23 b c-39 a d-16 b d x) (b c+a d+2 b d x)^{2/3} (b c-a d)}{560 d^4}+\frac{3 (a+b x)^2 (c+d x)^{2/3} (b c+a d+2 b d x)^{2/3}}{20 d^2}","\frac{81 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{11/3}}{224 b^{2/3} d^4 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{27\ 3^{3/4} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{11/3}}{56 \sqrt{2} b^{2/3} d^4 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{81 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} (b c-a d)^3}{112 b^{2/3} d^6 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}+\frac{9 (c+d x)^{2/3} (23 b c-39 a d-16 b d x) (b c+a d+2 b d x)^{2/3} (b c-a d)}{560 d^4}+\frac{3 (a+b x)^2 (c+d x)^{2/3} (b c+a d+2 b d x)^{2/3}}{20 d^2}",1,"(3*(a + b*x)^2*(c + d*x)^(2/3)*(b*c + a*d + 2*b*d*x)^(2/3))/(20*d^2) + (9*(b*c - a*d)*(c + d*x)^(2/3)*(23*b*c - 39*a*d - 16*b*d*x)*(b*c + a*d + 2*b*d*x)^(2/3))/(560*d^4) - (81*(b*c - a*d)^3*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2])/(112*b^(2/3)*d^6*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))) + (81*3^(1/4)*Sqrt[2 - Sqrt[3]]*(b*c - a*d)^(11/3)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticE[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(224*b^(2/3)*d^4*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]) - (27*3^(3/4)*(b*c - a*d)^(11/3)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticF[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(56*Sqrt[2]*b^(2/3)*d^4*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2])","A",7,7,33,0.2121,1,"{100, 147, 62, 623, 303, 218, 1877}"
3023,1,1373,0,2.0071082,"\int \frac{(a+b x)^2}{\sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x}} \, dx","Int[(a + b*x)^2/((c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)),x]","-\frac{99 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{8/3}}{224 b^{2/3} d^3 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{33\ 3^{3/4} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{8/3}}{56 \sqrt{2} b^{2/3} d^3 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{99 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} (b c-a d)^2}{112 b^{2/3} d^5 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}-\frac{45 (c+d x)^{2/3} (b c+a d+2 b d x)^{2/3} (b c-a d)}{112 d^3}+\frac{3 (a+b x) (c+d x)^{2/3} (b c+a d+2 b d x)^{2/3}}{14 d^2}","-\frac{99 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{8/3}}{224 b^{2/3} d^3 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{33\ 3^{3/4} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{8/3}}{56 \sqrt{2} b^{2/3} d^3 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{99 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} (b c-a d)^2}{112 b^{2/3} d^5 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}-\frac{45 (c+d x)^{2/3} (b c+a d+2 b d x)^{2/3} (b c-a d)}{112 d^3}+\frac{3 (a+b x) (c+d x)^{2/3} (b c+a d+2 b d x)^{2/3}}{14 d^2}",1,"(-45*(b*c - a*d)*(c + d*x)^(2/3)*(b*c + a*d + 2*b*d*x)^(2/3))/(112*d^3) + (3*(a + b*x)*(c + d*x)^(2/3)*(b*c + a*d + 2*b*d*x)^(2/3))/(14*d^2) + (99*(b*c - a*d)^2*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2])/(112*b^(2/3)*d^5*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))) - (99*3^(1/4)*Sqrt[2 - Sqrt[3]]*(b*c - a*d)^(8/3)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticE[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(224*b^(2/3)*d^3*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]) + (33*3^(3/4)*(b*c - a*d)^(8/3)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticF[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(56*Sqrt[2]*b^(2/3)*d^3*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2])","A",7,7,33,0.2121,1,"{90, 80, 62, 623, 303, 218, 1877}"
3024,1,1326,0,1.5486353,"\int \frac{a+b x}{\sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x}} \, dx","Int[(a + b*x)/((c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)),x]","\frac{9 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{5/3}}{16 b^{2/3} d^2 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{3\ 3^{3/4} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{5/3}}{4 \sqrt{2} b^{2/3} d^2 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{9 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} (b c-a d)}{8 b^{2/3} d^4 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}+\frac{3 (c+d x)^{2/3} (b c+a d+2 b d x)^{2/3}}{8 d^2}","\frac{9 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{5/3}}{16 b^{2/3} d^2 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{3\ 3^{3/4} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{5/3}}{4 \sqrt{2} b^{2/3} d^2 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{9 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} (b c-a d)}{8 b^{2/3} d^4 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}+\frac{3 (c+d x)^{2/3} (b c+a d+2 b d x)^{2/3}}{8 d^2}",1,"(3*(c + d*x)^(2/3)*(b*c + a*d + 2*b*d*x)^(2/3))/(8*d^2) - (9*(b*c - a*d)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2])/(8*b^(2/3)*d^4*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))) + (9*3^(1/4)*Sqrt[2 - Sqrt[3]]*(b*c - a*d)^(5/3)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticE[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(16*b^(2/3)*d^2*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]) - (3*3^(3/4)*(b*c - a*d)^(5/3)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticF[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(4*Sqrt[2]*b^(2/3)*d^2*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2])","A",6,6,31,0.1935,1,"{80, 62, 623, 303, 218, 1877}"
3025,1,1283,0,1.1237709,"\int \frac{1}{\sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x}} \, dx","Int[1/((c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)),x]","-\frac{3 \sqrt[4]{3} \sqrt{2-\sqrt{3}} (b c-a d)^{2/3} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right)}{4 b^{2/3} d \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{3^{3/4} (b c-a d)^{2/3} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right)}{\sqrt{2} b^{2/3} d \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{3 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2}}{2 b^{2/3} d^3 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}","-\frac{3 \sqrt[4]{3} \sqrt{2-\sqrt{3}} (b c-a d)^{2/3} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right)}{4 b^{2/3} d \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{3^{3/4} (b c-a d)^{2/3} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right)}{\sqrt{2} b^{2/3} d \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{3 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2}}{2 b^{2/3} d^3 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}",1,"(3*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2])/(2*b^(2/3)*d^3*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))) - (3*3^(1/4)*Sqrt[2 - Sqrt[3]]*(b*c - a*d)^(2/3)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticE[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(4*b^(2/3)*d*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]) + (3^(3/4)*(b*c - a*d)^(2/3)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticF[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(Sqrt[2]*b^(2/3)*d*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2])","A",5,5,26,0.1923,1,"{62, 623, 303, 218, 1877}"
3026,1,178,0,0.0715279,"\int \frac{1}{(a+b x) \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x}} \, dx","Int[1/((a + b*x)*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)),x]","-\frac{\log (a+b x)}{2 b^{2/3} (b c-a d)^{2/3}}+\frac{3 \log \left(\frac{b^{2/3} (c+d x)^{2/3}}{\sqrt[3]{b c-a d}}-\sqrt[3]{a d+b c+2 b d x}\right)}{4 b^{2/3} (b c-a d)^{2/3}}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{2 b^{2/3} (c+d x)^{2/3}}{\sqrt{3} \sqrt[3]{b c-a d} \sqrt[3]{a d+b c+2 b d x}}+\frac{1}{\sqrt{3}}\right)}{2 b^{2/3} (b c-a d)^{2/3}}","-\frac{\log (a+b x)}{2 b^{2/3} (b c-a d)^{2/3}}+\frac{3 \log \left(\frac{b^{2/3} (c+d x)^{2/3}}{\sqrt[3]{b c-a d}}-\sqrt[3]{a d+b c+2 b d x}\right)}{4 b^{2/3} (b c-a d)^{2/3}}-\frac{\sqrt{3} \tan ^{-1}\left(\frac{2 b^{2/3} (c+d x)^{2/3}}{\sqrt{3} \sqrt[3]{b c-a d} \sqrt[3]{a d+b c+2 b d x}}+\frac{1}{\sqrt{3}}\right)}{2 b^{2/3} (b c-a d)^{2/3}}",1,"-(Sqrt[3]*ArcTan[1/Sqrt[3] + (2*b^(2/3)*(c + d*x)^(2/3))/(Sqrt[3]*(b*c - a*d)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3))])/(2*b^(2/3)*(b*c - a*d)^(2/3)) - Log[a + b*x]/(2*b^(2/3)*(b*c - a*d)^(2/3)) + (3*Log[(b^(2/3)*(c + d*x)^(2/3))/(b*c - a*d)^(1/3) - (b*c + a*d + 2*b*d*x)^(1/3)])/(4*b^(2/3)*(b*c - a*d)^(2/3))","A",1,1,33,0.03030,1,"{123}"
3027,1,1510,0,1.9555751,"\int \frac{1}{(a+b x)^2 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x}} \, dx","Int[1/((a + b*x)^2*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)),x]","\frac{\sqrt{3} d \tan ^{-1}\left(\frac{2 b^{2/3} (c+d x)^{2/3}}{\sqrt{3} \sqrt[3]{b c-a d} \sqrt[3]{b c+a d+2 b d x}}+\frac{1}{\sqrt{3}}\right)}{2 b^{2/3} (b c-a d)^{5/3}}-\frac{\sqrt[4]{3} \sqrt{2-\sqrt{3}} d \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right)}{2 b^{2/3} (b c-a d)^{4/3} \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{\sqrt{2} d \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right)}{\sqrt[4]{3} b^{2/3} (b c-a d)^{4/3} \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{d \log (a+b x)}{2 b^{2/3} (b c-a d)^{5/3}}-\frac{3 d \log \left(\frac{b^{2/3} (c+d x)^{2/3}}{\sqrt[3]{b c-a d}}-\sqrt[3]{b c+a d+2 b d x}\right)}{4 b^{2/3} (b c-a d)^{5/3}}-\frac{(c+d x)^{2/3} (b c+a d+2 b d x)^{2/3}}{(b c-a d)^2 (a+b x)}+\frac{\sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2}}{b^{2/3} d (b c-a d)^2 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}","\frac{\sqrt{3} d \tan ^{-1}\left(\frac{2 b^{2/3} (c+d x)^{2/3}}{\sqrt{3} \sqrt[3]{b c-a d} \sqrt[3]{b c+a d+2 b d x}}+\frac{1}{\sqrt{3}}\right)}{2 b^{2/3} (b c-a d)^{5/3}}-\frac{\sqrt[4]{3} \sqrt{2-\sqrt{3}} d \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right)}{2 b^{2/3} (b c-a d)^{4/3} \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{\sqrt{2} d \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right)}{\sqrt[4]{3} b^{2/3} (b c-a d)^{4/3} \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{d \log (a+b x)}{2 b^{2/3} (b c-a d)^{5/3}}-\frac{3 d \log \left(\frac{b^{2/3} (c+d x)^{2/3}}{\sqrt[3]{b c-a d}}-\sqrt[3]{b c+a d+2 b d x}\right)}{4 b^{2/3} (b c-a d)^{5/3}}-\frac{(c+d x)^{2/3} (b c+a d+2 b d x)^{2/3}}{(b c-a d)^2 (a+b x)}+\frac{\sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2}}{b^{2/3} d (b c-a d)^2 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}",1,"-(((c + d*x)^(2/3)*(b*c + a*d + 2*b*d*x)^(2/3))/((b*c - a*d)^2*(a + b*x))) + (((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2])/(b^(2/3)*d*(b*c - a*d)^2*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))) + (Sqrt[3]*d*ArcTan[1/Sqrt[3] + (2*b^(2/3)*(c + d*x)^(2/3))/(Sqrt[3]*(b*c - a*d)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3))])/(2*b^(2/3)*(b*c - a*d)^(5/3)) - (3^(1/4)*Sqrt[2 - Sqrt[3]]*d*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticE[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(2*b^(2/3)*(b*c - a*d)^(4/3)*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]) + (Sqrt[2]*d*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticF[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(3^(1/4)*b^(2/3)*(b*c - a*d)^(4/3)*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]) + (d*Log[a + b*x])/(2*b^(2/3)*(b*c - a*d)^(5/3)) - (3*d*Log[(b^(2/3)*(c + d*x)^(2/3))/(b*c - a*d)^(1/3) - (b*c + a*d + 2*b*d*x)^(1/3)])/(4*b^(2/3)*(b*c - a*d)^(5/3))","A",8,8,33,0.2424,1,"{124, 157, 62, 623, 303, 218, 1877, 123}"
3028,1,1558,0,2.5974889,"\int \frac{1}{(a+b x)^3 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x}} \, dx","Int[1/((a + b*x)^3*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)),x]","-\frac{2 \tan ^{-1}\left(\frac{2 b^{2/3} (c+d x)^{2/3}}{\sqrt{3} \sqrt[3]{b c-a d} \sqrt[3]{b c+a d+2 b d x}}+\frac{1}{\sqrt{3}}\right) d^2}{\sqrt{3} b^{2/3} (b c-a d)^{8/3}}+\frac{\sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) d^2}{b^{2/3} (b c-a d)^{7/3} \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{2 \sqrt{2} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) d^2}{\sqrt[4]{3} b^{2/3} (b c-a d)^{7/3} \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{2 \log (a+b x) d^2}{3 b^{2/3} (b c-a d)^{8/3}}+\frac{\log \left(\frac{b^{2/3} (c+d x)^{2/3}}{\sqrt[3]{b c-a d}}-\sqrt[3]{b c+a d+2 b d x}\right) d^2}{b^{2/3} (b c-a d)^{8/3}}+\frac{2 (c+d x)^{2/3} (b c+a d+2 b d x)^{2/3} d}{(b c-a d)^3 (a+b x)}-\frac{(c+d x)^{2/3} (b c+a d+2 b d x)^{2/3}}{2 (b c-a d)^2 (a+b x)^2}-\frac{2 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2}}{b^{2/3} (b c-a d)^3 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}","-\frac{2 \tan ^{-1}\left(\frac{2 b^{2/3} (c+d x)^{2/3}}{\sqrt{3} \sqrt[3]{b c-a d} \sqrt[3]{b c+a d+2 b d x}}+\frac{1}{\sqrt{3}}\right) d^2}{\sqrt{3} b^{2/3} (b c-a d)^{8/3}}+\frac{\sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) d^2}{b^{2/3} (b c-a d)^{7/3} \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{2 \sqrt{2} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) d^2}{\sqrt[4]{3} b^{2/3} (b c-a d)^{7/3} \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{2 \log (a+b x) d^2}{3 b^{2/3} (b c-a d)^{8/3}}+\frac{\log \left(\frac{b^{2/3} (c+d x)^{2/3}}{\sqrt[3]{b c-a d}}-\sqrt[3]{b c+a d+2 b d x}\right) d^2}{b^{2/3} (b c-a d)^{8/3}}+\frac{2 (c+d x)^{2/3} (b c+a d+2 b d x)^{2/3} d}{(b c-a d)^3 (a+b x)}-\frac{(c+d x)^{2/3} (b c+a d+2 b d x)^{2/3}}{2 (b c-a d)^2 (a+b x)^2}-\frac{2 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2}}{b^{2/3} (b c-a d)^3 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}",1,"-((c + d*x)^(2/3)*(b*c + a*d + 2*b*d*x)^(2/3))/(2*(b*c - a*d)^2*(a + b*x)^2) + (2*d*(c + d*x)^(2/3)*(b*c + a*d + 2*b*d*x)^(2/3))/((b*c - a*d)^3*(a + b*x)) - (2*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2])/(b^(2/3)*(b*c - a*d)^3*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))) - (2*d^2*ArcTan[1/Sqrt[3] + (2*b^(2/3)*(c + d*x)^(2/3))/(Sqrt[3]*(b*c - a*d)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3))])/(Sqrt[3]*b^(2/3)*(b*c - a*d)^(8/3)) + (3^(1/4)*Sqrt[2 - Sqrt[3]]*d^2*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticE[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(b^(2/3)*(b*c - a*d)^(7/3)*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]) - (2*Sqrt[2]*d^2*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticF[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(3^(1/4)*b^(2/3)*(b*c - a*d)^(7/3)*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]) - (2*d^2*Log[a + b*x])/(3*b^(2/3)*(b*c - a*d)^(8/3)) + (d^2*Log[(b^(2/3)*(c + d*x)^(2/3))/(b*c - a*d)^(1/3) - (b*c + a*d + 2*b*d*x)^(1/3)])/(b^(2/3)*(b*c - a*d)^(8/3))","A",9,9,33,0.2727,1,"{124, 151, 157, 62, 623, 303, 218, 1877, 123}"
3029,1,1388,0,2.1454329,"\int \frac{(a+b x)^3}{\sqrt[3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx","Int[(a + b*x)^3/((c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(4/3)),x]","-\frac{81 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{8/3}}{224 b^{2/3} d^4 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{27\ 3^{3/4} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{8/3}}{56 \sqrt{2} b^{2/3} d^4 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{81 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} (b c-a d)^2}{112 b^{2/3} d^6 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}+\frac{9 (c+d x)^{2/3} (b c-7 a d-6 b d x) (b c-a d)}{112 d^4 \sqrt[3]{b c+a d+2 b d x}}+\frac{3 (a+b x)^2 (c+d x)^{2/3}}{14 d^2 \sqrt[3]{b c+a d+2 b d x}}","-\frac{81 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{8/3}}{224 b^{2/3} d^4 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{27\ 3^{3/4} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{8/3}}{56 \sqrt{2} b^{2/3} d^4 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{81 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} (b c-a d)^2}{112 b^{2/3} d^6 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}+\frac{9 (c+d x)^{2/3} (b c-7 a d-6 b d x) (b c-a d)}{112 d^4 \sqrt[3]{b c+a d+2 b d x}}+\frac{3 (a+b x)^2 (c+d x)^{2/3}}{14 d^2 \sqrt[3]{b c+a d+2 b d x}}",1,"(3*(a + b*x)^2*(c + d*x)^(2/3))/(14*d^2*(b*c + a*d + 2*b*d*x)^(1/3)) + (9*(b*c - a*d)*(c + d*x)^(2/3)*(b*c - 7*a*d - 6*b*d*x))/(112*d^4*(b*c + a*d + 2*b*d*x)^(1/3)) + (81*(b*c - a*d)^2*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2])/(112*b^(2/3)*d^6*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))) - (81*3^(1/4)*Sqrt[2 - Sqrt[3]]*(b*c - a*d)^(8/3)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticE[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(224*b^(2/3)*d^4*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]) + (27*3^(3/4)*(b*c - a*d)^(8/3)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticF[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(56*Sqrt[2]*b^(2/3)*d^4*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2])","A",7,7,33,0.2121,1,"{100, 146, 62, 623, 303, 218, 1877}"
3030,1,1366,0,1.854337,"\int \frac{(a+b x)^2}{\sqrt[3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx","Int[(a + b*x)^2/((c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(4/3)),x]","\frac{9 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{5/3}}{32 b^{2/3} d^3 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{3\ 3^{3/4} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{5/3}}{8 \sqrt{2} b^{2/3} d^3 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{3 (c+d x)^{2/3} (b c-a d)}{4 d^3 \sqrt[3]{b c+a d+2 b d x}}-\frac{9 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} (b c-a d)}{16 b^{2/3} d^5 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}+\frac{3 (c+d x)^{2/3} (b c+a d+2 b d x)^{2/3}}{16 d^3}","\frac{9 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{5/3}}{32 b^{2/3} d^3 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{3\ 3^{3/4} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right) (b c-a d)^{5/3}}{8 \sqrt{2} b^{2/3} d^3 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{3 (c+d x)^{2/3} (b c-a d)}{4 d^3 \sqrt[3]{b c+a d+2 b d x}}-\frac{9 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} (b c-a d)}{16 b^{2/3} d^5 \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}+\frac{3 (c+d x)^{2/3} (b c+a d+2 b d x)^{2/3}}{16 d^3}",1,"(-3*(b*c - a*d)*(c + d*x)^(2/3))/(4*d^3*(b*c + a*d + 2*b*d*x)^(1/3)) + (3*(c + d*x)^(2/3)*(b*c + a*d + 2*b*d*x)^(2/3))/(16*d^3) - (9*(b*c - a*d)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2])/(16*b^(2/3)*d^5*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))) + (9*3^(1/4)*Sqrt[2 - Sqrt[3]]*(b*c - a*d)^(5/3)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticE[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(32*b^(2/3)*d^3*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]) - (3*3^(3/4)*(b*c - a*d)^(5/3)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticF[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(8*Sqrt[2]*b^(2/3)*d^3*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2])","A",7,7,33,0.2121,1,"{89, 80, 62, 623, 303, 218, 1877}"
3031,1,32,0,0.0048773,"\int \frac{a+b x}{\sqrt[3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx","Int[(a + b*x)/((c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(4/3)),x]","\frac{3 (c+d x)^{2/3}}{2 d^2 \sqrt[3]{a d+b c+2 b d x}}","\frac{3 (c+d x)^{2/3}}{2 d^2 \sqrt[3]{a d+b c+2 b d x}}",1,"(3*(c + d*x)^(2/3))/(2*d^2*(b*c + a*d + 2*b*d*x)^(1/3))","A",1,1,31,0.03226,1,"{74}"
3032,1,1333,0,1.4588567,"\int \frac{1}{\sqrt[3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx","Int[1/((c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(4/3)),x]","-\frac{3 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right)}{4 b^{2/3} d \sqrt[3]{b c-a d} \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{3^{3/4} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right)}{\sqrt{2} b^{2/3} d \sqrt[3]{b c-a d} \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{3 (c+d x)^{2/3}}{d (b c-a d) \sqrt[3]{b c+a d+2 b d x}}+\frac{3 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2}}{2 b^{2/3} d^3 (b c-a d) \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}","-\frac{3 \sqrt[4]{3} \sqrt{2-\sqrt{3}} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} E\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right)}{4 b^{2/3} d \sqrt[3]{b c-a d} \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}+\frac{3^{3/4} \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right) \sqrt{\frac{(b c-a d)^{4/3}-2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))} (b c-a d)^{2/3}+4 b^{2/3} ((c+d x) (a d+b (c+2 d x)))^{2/3}}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}} F\left(\sin ^{-1}\left(\frac{\left(1-\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}{\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}}\right)|-7-4 \sqrt{3}\right)}{\sqrt{2} b^{2/3} d \sqrt[3]{b c-a d} \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\frac{(b c-a d)^{2/3} \left((b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}{\left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)^2}}}-\frac{3 (c+d x)^{2/3}}{d (b c-a d) \sqrt[3]{b c+a d+2 b d x}}+\frac{3 \sqrt[3]{(c+d x) (b c+a d+2 b d x)} \sqrt{d^2 (3 b c+a d+4 b d x)^2} \sqrt{\left(4 b x d^2+(3 b c+a d) d\right)^2}}{2 b^{2/3} d^3 (b c-a d) \sqrt[3]{c+d x} \sqrt[3]{b c+a d+2 b d x} (3 b c+a d+4 b d x) \left(\left(1+\sqrt{3}\right) (b c-a d)^{2/3}+2 \sqrt[3]{b} \sqrt[3]{(c+d x) (a d+b (c+2 d x))}\right)}",1,"(-3*(c + d*x)^(2/3))/(d*(b*c - a*d)*(b*c + a*d + 2*b*d*x)^(1/3)) + (3*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2])/(2*b^(2/3)*d^3*(b*c - a*d)*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))) - (3*3^(1/4)*Sqrt[2 - Sqrt[3]]*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticE[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(4*b^(2/3)*d*(b*c - a*d)^(1/3)*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]) + (3^(3/4)*((c + d*x)*(b*c + a*d + 2*b*d*x))^(1/3)*Sqrt[(d*(3*b*c + a*d) + 4*b*d^2*x)^2]*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))*Sqrt[((b*c - a*d)^(4/3) - 2*b^(1/3)*(b*c - a*d)^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3) + 4*b^(2/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(2/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2]*EllipticF[ArcSin[((1 - Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))], -7 - 4*Sqrt[3]])/(Sqrt[2]*b^(2/3)*d*(b*c - a*d)^(1/3)*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(1/3)*(3*b*c + a*d + 4*b*d*x)*Sqrt[d^2*(3*b*c + a*d + 4*b*d*x)^2]*Sqrt[((b*c - a*d)^(2/3)*((b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3)))/((1 + Sqrt[3])*(b*c - a*d)^(2/3) + 2*b^(1/3)*((c + d*x)*(a*d + b*(c + 2*d*x)))^(1/3))^2])","A",6,6,26,0.2308,1,"{51, 62, 623, 303, 218, 1877}"
3033,1,113,0,0.0601176,"\int \frac{1}{(a+b x) \sqrt[3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx","Int[1/((a + b*x)*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(4/3)),x]","\frac{3 (c+d x)^{2/3} \sqrt[3]{-\frac{a d+b c+2 b d x}{b c-a d}} F_1\left(\frac{2}{3};\frac{4}{3},1;\frac{5}{3};\frac{2 b (c+d x)}{b c-a d},\frac{b (c+d x)}{b c-a d}\right)}{2 (b c-a d)^2 \sqrt[3]{a d+b c+2 b d x}}","\frac{3 (c+d x)^{2/3} \sqrt[3]{-\frac{a d+b c+2 b d x}{b c-a d}} F_1\left(\frac{2}{3};\frac{4}{3},1;\frac{5}{3};\frac{2 b (c+d x)}{b c-a d},\frac{b (c+d x)}{b c-a d}\right)}{2 (b c-a d)^2 \sqrt[3]{a d+b c+2 b d x}}",1,"(3*(c + d*x)^(2/3)*(-((b*c + a*d + 2*b*d*x)/(b*c - a*d)))^(1/3)*AppellF1[2/3, 4/3, 1, 5/3, (2*b*(c + d*x))/(b*c - a*d), (b*(c + d*x))/(b*c - a*d)])/(2*(b*c - a*d)^2*(b*c + a*d + 2*b*d*x)^(1/3))","A",2,2,33,0.06061,1,"{137, 136}"
3034,1,114,0,0.0519706,"\int \frac{1}{(a+b x)^2 \sqrt[3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx","Int[1/((a + b*x)^2*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(4/3)),x]","-\frac{3 d (c+d x)^{2/3} \sqrt[3]{-\frac{a d+b c+2 b d x}{b c-a d}} F_1\left(\frac{2}{3};\frac{4}{3},2;\frac{5}{3};\frac{2 b (c+d x)}{b c-a d},\frac{b (c+d x)}{b c-a d}\right)}{2 (b c-a d)^3 \sqrt[3]{a d+b c+2 b d x}}","-\frac{3 d (c+d x)^{2/3} \sqrt[3]{-\frac{a d+b c+2 b d x}{b c-a d}} F_1\left(\frac{2}{3};\frac{4}{3},2;\frac{5}{3};\frac{2 b (c+d x)}{b c-a d},\frac{b (c+d x)}{b c-a d}\right)}{2 (b c-a d)^3 \sqrt[3]{a d+b c+2 b d x}}",1,"(-3*d*(c + d*x)^(2/3)*(-((b*c + a*d + 2*b*d*x)/(b*c - a*d)))^(1/3)*AppellF1[2/3, 4/3, 2, 5/3, (2*b*(c + d*x))/(b*c - a*d), (b*(c + d*x))/(b*c - a*d)])/(2*(b*c - a*d)^3*(b*c + a*d + 2*b*d*x)^(1/3))","A",2,2,33,0.06061,1,"{137, 136}"
3035,1,116,0,0.0509298,"\int \frac{1}{(a+b x)^3 \sqrt[3]{c+d x} (b c+a d+2 b d x)^{4/3}} \, dx","Int[1/((a + b*x)^3*(c + d*x)^(1/3)*(b*c + a*d + 2*b*d*x)^(4/3)),x]","\frac{3 d^2 (c+d x)^{2/3} \sqrt[3]{-\frac{a d+b c+2 b d x}{b c-a d}} F_1\left(\frac{2}{3};\frac{4}{3},3;\frac{5}{3};\frac{2 b (c+d x)}{b c-a d},\frac{b (c+d x)}{b c-a d}\right)}{2 (b c-a d)^4 \sqrt[3]{a d+b c+2 b d x}}","\frac{3 d^2 (c+d x)^{2/3} \sqrt[3]{-\frac{a d+b c+2 b d x}{b c-a d}} F_1\left(\frac{2}{3};\frac{4}{3},3;\frac{5}{3};\frac{2 b (c+d x)}{b c-a d},\frac{b (c+d x)}{b c-a d}\right)}{2 (b c-a d)^4 \sqrt[3]{a d+b c+2 b d x}}",1,"(3*d^2*(c + d*x)^(2/3)*(-((b*c + a*d + 2*b*d*x)/(b*c - a*d)))^(1/3)*AppellF1[2/3, 4/3, 3, 5/3, (2*b*(c + d*x))/(b*c - a*d), (b*(c + d*x))/(b*c - a*d)])/(2*(b*c - a*d)^4*(b*c + a*d + 2*b*d*x)^(1/3))","A",2,2,33,0.06061,1,"{137, 136}"
3036,1,120,0,0.0261856,"\int \frac{1}{\sqrt[3]{d-3 e x} (d+e x) \sqrt[3]{d+3 e x}} \, dx","Int[1/((d - 3*e*x)^(1/3)*(d + e*x)*(d + 3*e*x)^(1/3)),x]","\frac{\log (d+e x)}{4 d^{2/3} e}-\frac{3 \log \left(-\frac{(d-3 e x)^{2/3}}{2 \sqrt[3]{d}}-\sqrt[3]{d+3 e x}\right)}{8 d^{2/3} e}+\frac{\sqrt{3} \tan ^{-1}\left(\frac{1}{\sqrt{3}}-\frac{(d-3 e x)^{2/3}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{d+3 e x}}\right)}{4 d^{2/3} e}","\frac{\log (d+e x)}{4 d^{2/3} e}-\frac{3 \log \left(-\frac{(d-3 e x)^{2/3}}{2 \sqrt[3]{d}}-\sqrt[3]{d+3 e x}\right)}{8 d^{2/3} e}+\frac{\sqrt{3} \tan ^{-1}\left(\frac{1}{\sqrt{3}}-\frac{(d-3 e x)^{2/3}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{d+3 e x}}\right)}{4 d^{2/3} e}",1,"(Sqrt[3]*ArcTan[1/Sqrt[3] - (d - 3*e*x)^(2/3)/(Sqrt[3]*d^(1/3)*(d + 3*e*x)^(1/3))])/(4*d^(2/3)*e) + Log[d + e*x]/(4*d^(2/3)*e) - (3*Log[-(d - 3*e*x)^(2/3)/(2*d^(1/3)) - (d + 3*e*x)^(1/3)])/(8*d^(2/3)*e)","A",1,1,28,0.03571,1,"{123}"
3037,1,562,0,0.52878,"\int \frac{(a+b x)^{4/3} (e+f x)^2}{(c+d x)^{4/3}} \, dx","Int[((a + b*x)^(4/3)*(e + f*x)^2)/(c + d*x)^(4/3),x]","\frac{(a+b x)^{4/3} (c+d x)^{2/3} \left(a^2 d^2 f^2-a b d f (9 d e-7 c f)+b^2 \left(-\left(35 c^2 f^2-63 c d e f+27 d^2 e^2\right)\right)\right)}{9 b d^3 (b c-a d)}-\frac{4 \sqrt[3]{a+b x} (c+d x)^{2/3} \left(a^2 d^2 f^2-a b d f (9 d e-7 c f)+b^2 \left(-\left(35 c^2 f^2-63 c d e f+27 d^2 e^2\right)\right)\right)}{27 b d^4}-\frac{2 (b c-a d) \log (a+b x) \left(a^2 d^2 f^2-a b d f (9 d e-7 c f)+b^2 \left(-\left(35 c^2 f^2-63 c d e f+27 d^2 e^2\right)\right)\right)}{81 b^{5/3} d^{13/3}}-\frac{2 (b c-a d) \left(a^2 d^2 f^2-a b d f (9 d e-7 c f)+b^2 \left(-\left(35 c^2 f^2-63 c d e f+27 d^2 e^2\right)\right)\right) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{27 b^{5/3} d^{13/3}}-\frac{4 (b c-a d) \left(a^2 d^2 f^2-a b d f (9 d e-7 c f)+b^2 \left(-\left(35 c^2 f^2-63 c d e f+27 d^2 e^2\right)\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{27 \sqrt{3} b^{5/3} d^{13/3}}+\frac{3 (a+b x)^{7/3} (d e-c f)^2}{d^2 \sqrt[3]{c+d x} (b c-a d)}+\frac{f^2 (a+b x)^{7/3} (c+d x)^{2/3}}{3 b d^2}","\frac{(a+b x)^{4/3} (c+d x)^{2/3} \left(a^2 d^2 f^2-a b d f (9 d e-7 c f)+b^2 \left(-\left(35 c^2 f^2-63 c d e f+27 d^2 e^2\right)\right)\right)}{9 b d^3 (b c-a d)}-\frac{4 \sqrt[3]{a+b x} (c+d x)^{2/3} \left(a^2 d^2 f^2-a b d f (9 d e-7 c f)+b^2 \left(-\left(35 c^2 f^2-63 c d e f+27 d^2 e^2\right)\right)\right)}{27 b d^4}-\frac{2 (b c-a d) \log (a+b x) \left(a^2 d^2 f^2-a b d f (9 d e-7 c f)+b^2 \left(-\left(35 c^2 f^2-63 c d e f+27 d^2 e^2\right)\right)\right)}{81 b^{5/3} d^{13/3}}-\frac{2 (b c-a d) \left(a^2 d^2 f^2-a b d f (9 d e-7 c f)+b^2 \left(-\left(35 c^2 f^2-63 c d e f+27 d^2 e^2\right)\right)\right) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{27 b^{5/3} d^{13/3}}-\frac{4 (b c-a d) \left(a^2 d^2 f^2-a b d f (9 d e-7 c f)+b^2 \left(-\left(35 c^2 f^2-63 c d e f+27 d^2 e^2\right)\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{27 \sqrt{3} b^{5/3} d^{13/3}}+\frac{3 (a+b x)^{7/3} (d e-c f)^2}{d^2 \sqrt[3]{c+d x} (b c-a d)}+\frac{f^2 (a+b x)^{7/3} (c+d x)^{2/3}}{3 b d^2}",1,"(3*(d*e - c*f)^2*(a + b*x)^(7/3))/(d^2*(b*c - a*d)*(c + d*x)^(1/3)) - (4*(a^2*d^2*f^2 - a*b*d*f*(9*d*e - 7*c*f) - b^2*(27*d^2*e^2 - 63*c*d*e*f + 35*c^2*f^2))*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(27*b*d^4) + ((a^2*d^2*f^2 - a*b*d*f*(9*d*e - 7*c*f) - b^2*(27*d^2*e^2 - 63*c*d*e*f + 35*c^2*f^2))*(a + b*x)^(4/3)*(c + d*x)^(2/3))/(9*b*d^3*(b*c - a*d)) + (f^2*(a + b*x)^(7/3)*(c + d*x)^(2/3))/(3*b*d^2) - (4*(b*c - a*d)*(a^2*d^2*f^2 - a*b*d*f*(9*d*e - 7*c*f) - b^2*(27*d^2*e^2 - 63*c*d*e*f + 35*c^2*f^2))*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/(27*Sqrt[3]*b^(5/3)*d^(13/3)) - (2*(b*c - a*d)*(a^2*d^2*f^2 - a*b*d*f*(9*d*e - 7*c*f) - b^2*(27*d^2*e^2 - 63*c*d*e*f + 35*c^2*f^2))*Log[a + b*x])/(81*b^(5/3)*d^(13/3)) - (2*(b*c - a*d)*(a^2*d^2*f^2 - a*b*d*f*(9*d*e - 7*c*f) - b^2*(27*d^2*e^2 - 63*c*d*e*f + 35*c^2*f^2))*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/(27*b^(5/3)*d^(13/3))","A",5,4,26,0.1538,1,"{89, 80, 50, 59}"
3038,1,328,0,0.2425068,"\int \frac{(a+b x)^{4/3} (e+f x)}{(c+d x)^{4/3}} \, dx","Int[((a + b*x)^(4/3)*(e + f*x))/(c + d*x)^(4/3),x]","\frac{(b c-a d) \log (a+b x) (a d f-7 b c f+6 b d e)}{9 b^{2/3} d^{10/3}}+\frac{(b c-a d) (a d f-7 b c f+6 b d e) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{3 b^{2/3} d^{10/3}}+\frac{2 (b c-a d) (a d f-7 b c f+6 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} b^{2/3} d^{10/3}}-\frac{(a+b x)^{4/3} (c+d x)^{2/3} (a d f-7 b c f+6 b d e)}{2 d^2 (b c-a d)}+\frac{2 \sqrt[3]{a+b x} (c+d x)^{2/3} (a d f-7 b c f+6 b d e)}{3 d^3}+\frac{3 (a+b x)^{7/3} (d e-c f)}{d \sqrt[3]{c+d x} (b c-a d)}","\frac{(b c-a d) \log (a+b x) (a d f-7 b c f+6 b d e)}{9 b^{2/3} d^{10/3}}+\frac{(b c-a d) (a d f-7 b c f+6 b d e) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{3 b^{2/3} d^{10/3}}+\frac{2 (b c-a d) (a d f-7 b c f+6 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} b^{2/3} d^{10/3}}-\frac{(a+b x)^{4/3} (c+d x)^{2/3} (a d f-7 b c f+6 b d e)}{2 d^2 (b c-a d)}+\frac{2 \sqrt[3]{a+b x} (c+d x)^{2/3} (a d f-7 b c f+6 b d e)}{3 d^3}+\frac{3 (a+b x)^{7/3} (d e-c f)}{d \sqrt[3]{c+d x} (b c-a d)}",1,"(3*(d*e - c*f)*(a + b*x)^(7/3))/(d*(b*c - a*d)*(c + d*x)^(1/3)) + (2*(6*b*d*e - 7*b*c*f + a*d*f)*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(3*d^3) - ((6*b*d*e - 7*b*c*f + a*d*f)*(a + b*x)^(4/3)*(c + d*x)^(2/3))/(2*d^2*(b*c - a*d)) + (2*(b*c - a*d)*(6*b*d*e - 7*b*c*f + a*d*f)*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/(3*Sqrt[3]*b^(2/3)*d^(10/3)) + ((b*c - a*d)*(6*b*d*e - 7*b*c*f + a*d*f)*Log[a + b*x])/(9*b^(2/3)*d^(10/3)) + ((b*c - a*d)*(6*b*d*e - 7*b*c*f + a*d*f)*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/(3*b^(2/3)*d^(10/3))","A",4,3,24,0.1250,1,"{78, 50, 59}"
3039,1,195,0,0.0719306,"\int \frac{(a+b x)^{4/3}}{(c+d x)^{4/3}} \, dx","Int[(a + b*x)^(4/3)/(c + d*x)^(4/3),x]","\frac{4 b \sqrt[3]{a+b x} (c+d x)^{2/3}}{d^2}+\frac{2 \sqrt[3]{b} (b c-a d) \log (a+b x)}{3 d^{7/3}}+\frac{2 \sqrt[3]{b} (b c-a d) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{d^{7/3}}+\frac{4 \sqrt[3]{b} (b c-a d) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} d^{7/3}}-\frac{3 (a+b x)^{4/3}}{d \sqrt[3]{c+d x}}","\frac{4 b \sqrt[3]{a+b x} (c+d x)^{2/3}}{d^2}+\frac{2 \sqrt[3]{b} (b c-a d) \log (a+b x)}{3 d^{7/3}}+\frac{2 \sqrt[3]{b} (b c-a d) \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{d^{7/3}}+\frac{4 \sqrt[3]{b} (b c-a d) \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} d^{7/3}}-\frac{3 (a+b x)^{4/3}}{d \sqrt[3]{c+d x}}",1,"(-3*(a + b*x)^(4/3))/(d*(c + d*x)^(1/3)) + (4*b*(a + b*x)^(1/3)*(c + d*x)^(2/3))/d^2 + (4*b^(1/3)*(b*c - a*d)*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/(Sqrt[3]*d^(7/3)) + (2*b^(1/3)*(b*c - a*d)*Log[a + b*x])/(3*d^(7/3)) + (2*b^(1/3)*(b*c - a*d)*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/d^(7/3)","A",3,3,19,0.1579,1,"{47, 50, 59}"
3040,1,380,0,0.3507767,"\int \frac{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)} \, dx","Int[(a + b*x)^(4/3)/((c + d*x)^(4/3)*(e + f*x)),x]","-\frac{3 b^{4/3} \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{2 d^{4/3} f}-\frac{\sqrt{3} b^{4/3} \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{d^{4/3} f}-\frac{b^{4/3} \log (a+b x)}{2 d^{4/3} f}+\frac{3 \sqrt[3]{a+b x} (b c-a d)}{d \sqrt[3]{c+d x} (d e-c f)}-\frac{(b e-a f)^{4/3} \log (e+f x)}{2 f (d e-c f)^{4/3}}+\frac{3 (b e-a f)^{4/3} \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{2 f (d e-c f)^{4/3}}+\frac{\sqrt{3} (b e-a f)^{4/3} \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{f (d e-c f)^{4/3}}","-\frac{3 b^{4/3} \log \left(\frac{\sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt[3]{d} \sqrt[3]{a+b x}}-1\right)}{2 d^{4/3} f}-\frac{\sqrt{3} b^{4/3} \tan ^{-1}\left(\frac{2 \sqrt[3]{b} \sqrt[3]{c+d x}}{\sqrt{3} \sqrt[3]{d} \sqrt[3]{a+b x}}+\frac{1}{\sqrt{3}}\right)}{d^{4/3} f}-\frac{b^{4/3} \log (a+b x)}{2 d^{4/3} f}+\frac{3 \sqrt[3]{a+b x} (b c-a d)}{d \sqrt[3]{c+d x} (d e-c f)}-\frac{(b e-a f)^{4/3} \log (e+f x)}{2 f (d e-c f)^{4/3}}+\frac{3 (b e-a f)^{4/3} \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{2 f (d e-c f)^{4/3}}+\frac{\sqrt{3} (b e-a f)^{4/3} \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{f (d e-c f)^{4/3}}",1,"(3*(b*c - a*d)*(a + b*x)^(1/3))/(d*(d*e - c*f)*(c + d*x)^(1/3)) - (Sqrt[3]*b^(4/3)*ArcTan[1/Sqrt[3] + (2*b^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*d^(1/3)*(a + b*x)^(1/3))])/(d^(4/3)*f) + (Sqrt[3]*(b*e - a*f)^(4/3)*ArcTan[1/Sqrt[3] + (2*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))])/(f*(d*e - c*f)^(4/3)) - (b^(4/3)*Log[a + b*x])/(2*d^(4/3)*f) - ((b*e - a*f)^(4/3)*Log[e + f*x])/(2*f*(d*e - c*f)^(4/3)) + (3*(b*e - a*f)^(4/3)*Log[-(a + b*x)^(1/3) + ((b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(d*e - c*f)^(1/3)])/(2*f*(d*e - c*f)^(4/3)) - (3*b^(4/3)*Log[-1 + (b^(1/3)*(c + d*x)^(1/3))/(d^(1/3)*(a + b*x)^(1/3))])/(2*d^(4/3)*f)","A",4,4,26,0.1538,1,"{98, 157, 59, 91}"
3041,1,301,0,0.1492536,"\int \frac{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)^2} \, dx","Int[(a + b*x)^(4/3)/((c + d*x)^(4/3)*(e + f*x)^2),x]","-\frac{3 (a+b x)^{4/3}}{\sqrt[3]{c+d x} (e+f x) (d e-c f)}+\frac{4 \sqrt[3]{a+b x} (c+d x)^{2/3} (b e-a f)}{(e+f x) (d e-c f)^2}-\frac{2 (b c-a d) \sqrt[3]{b e-a f} \log (e+f x)}{3 (d e-c f)^{7/3}}+\frac{2 (b c-a d) \sqrt[3]{b e-a f} \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{(d e-c f)^{7/3}}+\frac{4 (b c-a d) \sqrt[3]{b e-a f} \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} (d e-c f)^{7/3}}","-\frac{3 (a+b x)^{4/3}}{\sqrt[3]{c+d x} (e+f x) (d e-c f)}+\frac{4 \sqrt[3]{a+b x} (c+d x)^{2/3} (b e-a f)}{(e+f x) (d e-c f)^2}-\frac{2 (b c-a d) \sqrt[3]{b e-a f} \log (e+f x)}{3 (d e-c f)^{7/3}}+\frac{2 (b c-a d) \sqrt[3]{b e-a f} \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{(d e-c f)^{7/3}}+\frac{4 (b c-a d) \sqrt[3]{b e-a f} \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{\sqrt{3} (d e-c f)^{7/3}}",1,"(-3*(a + b*x)^(4/3))/((d*e - c*f)*(c + d*x)^(1/3)*(e + f*x)) + (4*(b*e - a*f)*(a + b*x)^(1/3)*(c + d*x)^(2/3))/((d*e - c*f)^2*(e + f*x)) + (4*(b*c - a*d)*(b*e - a*f)^(1/3)*ArcTan[1/Sqrt[3] + (2*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))])/(Sqrt[3]*(d*e - c*f)^(7/3)) - (2*(b*c - a*d)*(b*e - a*f)^(1/3)*Log[e + f*x])/(3*(d*e - c*f)^(7/3)) + (2*(b*c - a*d)*(b*e - a*f)^(1/3)*Log[-(a + b*x)^(1/3) + ((b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(d*e - c*f)^(1/3)])/(d*e - c*f)^(7/3)","A",3,2,26,0.07692,1,"{94, 91}"
3042,1,434,0,0.3020371,"\int \frac{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)^3} \, dx","Int[(a + b*x)^(4/3)/((c + d*x)^(4/3)*(e + f*x)^3),x]","\frac{3 d (a+b x)^{7/3}}{\sqrt[3]{c+d x} (e+f x)^2 (b c-a d) (d e-c f)}-\frac{(a+b x)^{4/3} (c+d x)^{2/3} (-7 a d f+b c f+6 b d e)}{2 (e+f x)^2 (b c-a d) (d e-c f)^2}+\frac{2 \sqrt[3]{a+b x} (c+d x)^{2/3} (-7 a d f+b c f+6 b d e)}{3 (e+f x) (d e-c f)^3}-\frac{(b c-a d) \log (e+f x) (-7 a d f+b c f+6 b d e)}{9 (b e-a f)^{2/3} (d e-c f)^{10/3}}+\frac{(b c-a d) (-7 a d f+b c f+6 b d e) \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{3 (b e-a f)^{2/3} (d e-c f)^{10/3}}+\frac{2 (b c-a d) (-7 a d f+b c f+6 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} (b e-a f)^{2/3} (d e-c f)^{10/3}}","\frac{3 d (a+b x)^{7/3}}{\sqrt[3]{c+d x} (e+f x)^2 (b c-a d) (d e-c f)}-\frac{(a+b x)^{4/3} (c+d x)^{2/3} (-7 a d f+b c f+6 b d e)}{2 (e+f x)^2 (b c-a d) (d e-c f)^2}+\frac{2 \sqrt[3]{a+b x} (c+d x)^{2/3} (-7 a d f+b c f+6 b d e)}{3 (e+f x) (d e-c f)^3}-\frac{(b c-a d) \log (e+f x) (-7 a d f+b c f+6 b d e)}{9 (b e-a f)^{2/3} (d e-c f)^{10/3}}+\frac{(b c-a d) (-7 a d f+b c f+6 b d e) \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{3 (b e-a f)^{2/3} (d e-c f)^{10/3}}+\frac{2 (b c-a d) (-7 a d f+b c f+6 b d e) \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{3 \sqrt{3} (b e-a f)^{2/3} (d e-c f)^{10/3}}",1,"(3*d*(a + b*x)^(7/3))/((b*c - a*d)*(d*e - c*f)*(c + d*x)^(1/3)*(e + f*x)^2) - ((6*b*d*e + b*c*f - 7*a*d*f)*(a + b*x)^(4/3)*(c + d*x)^(2/3))/(2*(b*c - a*d)*(d*e - c*f)^2*(e + f*x)^2) + (2*(6*b*d*e + b*c*f - 7*a*d*f)*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(3*(d*e - c*f)^3*(e + f*x)) + (2*(b*c - a*d)*(6*b*d*e + b*c*f - 7*a*d*f)*ArcTan[1/Sqrt[3] + (2*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))])/(3*Sqrt[3]*(b*e - a*f)^(2/3)*(d*e - c*f)^(10/3)) - ((b*c - a*d)*(6*b*d*e + b*c*f - 7*a*d*f)*Log[e + f*x])/(9*(b*e - a*f)^(2/3)*(d*e - c*f)^(10/3)) + ((b*c - a*d)*(6*b*d*e + b*c*f - 7*a*d*f)*Log[-(a + b*x)^(1/3) + ((b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(d*e - c*f)^(1/3)])/(3*(b*e - a*f)^(2/3)*(d*e - c*f)^(10/3))","A",4,3,26,0.1154,1,"{96, 94, 91}"
3043,1,645,0,1.4897629,"\int \frac{(a+b x)^{4/3}}{(c+d x)^{4/3} (e+f x)^4} \, dx","Int[(a + b*x)^(4/3)/((c + d*x)^(4/3)*(e + f*x)^4),x]","\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} \left(140 a^2 d^2 f^2-7 a b d f (19 c f+21 d e)+b^2 \left(2 c^2 f^2+129 c d e f+9 d^2 e^2\right)\right)}{27 (e+f x) (b e-a f) (d e-c f)^4}-\frac{2 (b c-a d) \log (e+f x) \left(35 a^2 d^2 f^2-7 a b d f (c f+9 d e)+b^2 \left(-c^2 f^2+9 c d e f+27 d^2 e^2\right)\right)}{81 (b e-a f)^{5/3} (d e-c f)^{13/3}}+\frac{2 (b c-a d) \left(35 a^2 d^2 f^2-7 a b d f (c f+9 d e)+b^2 \left(-c^2 f^2+9 c d e f+27 d^2 e^2\right)\right) \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{27 (b e-a f)^{5/3} (d e-c f)^{13/3}}+\frac{4 (b c-a d) \left(35 a^2 d^2 f^2-7 a b d f (c f+9 d e)+b^2 \left(-c^2 f^2+9 c d e f+27 d^2 e^2\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{27 \sqrt{3} (b e-a f)^{5/3} (d e-c f)^{13/3}}+\frac{3 \sqrt[3]{a+b x} (b c-a d)}{d \sqrt[3]{c+d x} (e+f x)^3 (d e-c f)}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (-35 a d f+32 b c f+3 b d e)}{9 (e+f x)^2 (d e-c f)^3}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (-10 a d f+9 b c f+b d e)}{3 d (e+f x)^3 (d e-c f)^2}","\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} \left(140 a^2 d^2 f^2-7 a b d f (19 c f+21 d e)+b^2 \left(2 c^2 f^2+129 c d e f+9 d^2 e^2\right)\right)}{27 (e+f x) (b e-a f) (d e-c f)^4}-\frac{2 (b c-a d) \log (e+f x) \left(35 a^2 d^2 f^2-7 a b d f (c f+9 d e)+b^2 \left(-c^2 f^2+9 c d e f+27 d^2 e^2\right)\right)}{81 (b e-a f)^{5/3} (d e-c f)^{13/3}}+\frac{2 (b c-a d) \left(35 a^2 d^2 f^2-7 a b d f (c f+9 d e)+b^2 \left(-c^2 f^2+9 c d e f+27 d^2 e^2\right)\right) \log \left(\frac{\sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt[3]{d e-c f}}-\sqrt[3]{a+b x}\right)}{27 (b e-a f)^{5/3} (d e-c f)^{13/3}}+\frac{4 (b c-a d) \left(35 a^2 d^2 f^2-7 a b d f (c f+9 d e)+b^2 \left(-c^2 f^2+9 c d e f+27 d^2 e^2\right)\right) \tan ^{-1}\left(\frac{2 \sqrt[3]{c+d x} \sqrt[3]{b e-a f}}{\sqrt{3} \sqrt[3]{a+b x} \sqrt[3]{d e-c f}}+\frac{1}{\sqrt{3}}\right)}{27 \sqrt{3} (b e-a f)^{5/3} (d e-c f)^{13/3}}+\frac{3 \sqrt[3]{a+b x} (b c-a d)}{d \sqrt[3]{c+d x} (e+f x)^3 (d e-c f)}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (-35 a d f+32 b c f+3 b d e)}{9 (e+f x)^2 (d e-c f)^3}+\frac{\sqrt[3]{a+b x} (c+d x)^{2/3} (-10 a d f+9 b c f+b d e)}{3 d (e+f x)^3 (d e-c f)^2}",1,"(3*(b*c - a*d)*(a + b*x)^(1/3))/(d*(d*e - c*f)*(c + d*x)^(1/3)*(e + f*x)^3) + ((b*d*e + 9*b*c*f - 10*a*d*f)*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(3*d*(d*e - c*f)^2*(e + f*x)^3) + ((3*b*d*e + 32*b*c*f - 35*a*d*f)*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(9*(d*e - c*f)^3*(e + f*x)^2) + ((140*a^2*d^2*f^2 - 7*a*b*d*f*(21*d*e + 19*c*f) + b^2*(9*d^2*e^2 + 129*c*d*e*f + 2*c^2*f^2))*(a + b*x)^(1/3)*(c + d*x)^(2/3))/(27*(b*e - a*f)*(d*e - c*f)^4*(e + f*x)) + (4*(b*c - a*d)*(35*a^2*d^2*f^2 - 7*a*b*d*f*(9*d*e + c*f) + b^2*(27*d^2*e^2 + 9*c*d*e*f - c^2*f^2))*ArcTan[1/Sqrt[3] + (2*(b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(Sqrt[3]*(d*e - c*f)^(1/3)*(a + b*x)^(1/3))])/(27*Sqrt[3]*(b*e - a*f)^(5/3)*(d*e - c*f)^(13/3)) - (2*(b*c - a*d)*(35*a^2*d^2*f^2 - 7*a*b*d*f*(9*d*e + c*f) + b^2*(27*d^2*e^2 + 9*c*d*e*f - c^2*f^2))*Log[e + f*x])/(81*(b*e - a*f)^(5/3)*(d*e - c*f)^(13/3)) + (2*(b*c - a*d)*(35*a^2*d^2*f^2 - 7*a*b*d*f*(9*d*e + c*f) + b^2*(27*d^2*e^2 + 9*c*d*e*f - c^2*f^2))*Log[-(a + b*x)^(1/3) + ((b*e - a*f)^(1/3)*(c + d*x)^(1/3))/(d*e - c*f)^(1/3)])/(27*(b*e - a*f)^(5/3)*(d*e - c*f)^(13/3))","A",6,4,26,0.1538,1,"{98, 151, 12, 91}"
3044,1,266,0,0.3636548,"\int \frac{1}{(a+b x) \sqrt{c+d x} \sqrt[4]{e+f x}} \, dx","Int[1/((a + b*x)*Sqrt[c + d*x]*(e + f*x)^(1/4)),x]","\frac{2 \sqrt[4]{d e-c f} \sqrt{-\frac{f (c+d x)}{d e-c f}} \Pi \left(-\frac{\sqrt{b} \sqrt{d e-c f}}{\sqrt{d} \sqrt{b e-a f}};\left.\sin ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{e+f x}}{\sqrt[4]{d e-c f}}\right)\right|-1\right)}{\sqrt{b} \sqrt[4]{d} \sqrt{c+d x} \sqrt{b e-a f}}-\frac{2 \sqrt[4]{d e-c f} \sqrt{-\frac{f (c+d x)}{d e-c f}} \Pi \left(\frac{\sqrt{b} \sqrt{d e-c f}}{\sqrt{d} \sqrt{b e-a f}};\left.\sin ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{e+f x}}{\sqrt[4]{d e-c f}}\right)\right|-1\right)}{\sqrt{b} \sqrt[4]{d} \sqrt{c+d x} \sqrt{b e-a f}}","\frac{2 \sqrt[4]{d e-c f} \sqrt{-\frac{f (c+d x)}{d e-c f}} \Pi \left(-\frac{\sqrt{b} \sqrt{d e-c f}}{\sqrt{d} \sqrt{b e-a f}};\left.\sin ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{e+f x}}{\sqrt[4]{d e-c f}}\right)\right|-1\right)}{\sqrt{b} \sqrt[4]{d} \sqrt{c+d x} \sqrt{b e-a f}}-\frac{2 \sqrt[4]{d e-c f} \sqrt{-\frac{f (c+d x)}{d e-c f}} \Pi \left(\frac{\sqrt{b} \sqrt{d e-c f}}{\sqrt{d} \sqrt{b e-a f}};\left.\sin ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{e+f x}}{\sqrt[4]{d e-c f}}\right)\right|-1\right)}{\sqrt{b} \sqrt[4]{d} \sqrt{c+d x} \sqrt{b e-a f}}",1,"(2*(d*e - c*f)^(1/4)*Sqrt[-((f*(c + d*x))/(d*e - c*f))]*EllipticPi[-((Sqrt[b]*Sqrt[d*e - c*f])/(Sqrt[d]*Sqrt[b*e - a*f])), ArcSin[(d^(1/4)*(e + f*x)^(1/4))/(d*e - c*f)^(1/4)], -1])/(Sqrt[b]*d^(1/4)*Sqrt[b*e - a*f]*Sqrt[c + d*x]) - (2*(d*e - c*f)^(1/4)*Sqrt[-((f*(c + d*x))/(d*e - c*f))]*EllipticPi[(Sqrt[b]*Sqrt[d*e - c*f])/(Sqrt[d]*Sqrt[b*e - a*f]), ArcSin[(d^(1/4)*(e + f*x)^(1/4))/(d*e - c*f)^(1/4)], -1])/(Sqrt[b]*d^(1/4)*Sqrt[b*e - a*f]*Sqrt[c + d*x])","A",5,4,26,0.1538,1,"{107, 106, 490, 1218}"
3045,1,252,0,0.2507952,"\int \frac{1}{(a+b x) \sqrt{c+d x} (e+f x)^{3/4}} \, dx","Int[1/((a + b*x)*Sqrt[c + d*x]*(e + f*x)^(3/4)),x]","-\frac{2 \sqrt[4]{d e-c f} \sqrt{-\frac{f (c+d x)}{d e-c f}} \Pi \left(-\frac{\sqrt{b} \sqrt{d e-c f}}{\sqrt{d} \sqrt{b e-a f}};\left.\sin ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{e+f x}}{\sqrt[4]{d e-c f}}\right)\right|-1\right)}{\sqrt[4]{d} \sqrt{c+d x} (b e-a f)}-\frac{2 \sqrt[4]{d e-c f} \sqrt{-\frac{f (c+d x)}{d e-c f}} \Pi \left(\frac{\sqrt{b} \sqrt{d e-c f}}{\sqrt{d} \sqrt{b e-a f}};\left.\sin ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{e+f x}}{\sqrt[4]{d e-c f}}\right)\right|-1\right)}{\sqrt[4]{d} \sqrt{c+d x} (b e-a f)}","-\frac{2 \sqrt[4]{d e-c f} \sqrt{-\frac{f (c+d x)}{d e-c f}} \Pi \left(-\frac{\sqrt{b} \sqrt{d e-c f}}{\sqrt{d} \sqrt{b e-a f}};\left.\sin ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{e+f x}}{\sqrt[4]{d e-c f}}\right)\right|-1\right)}{\sqrt[4]{d} \sqrt{c+d x} (b e-a f)}-\frac{2 \sqrt[4]{d e-c f} \sqrt{-\frac{f (c+d x)}{d e-c f}} \Pi \left(\frac{\sqrt{b} \sqrt{d e-c f}}{\sqrt{d} \sqrt{b e-a f}};\left.\sin ^{-1}\left(\frac{\sqrt[4]{d} \sqrt[4]{e+f x}}{\sqrt[4]{d e-c f}}\right)\right|-1\right)}{\sqrt[4]{d} \sqrt{c+d x} (b e-a f)}",1,"(-2*(d*e - c*f)^(1/4)*Sqrt[-((f*(c + d*x))/(d*e - c*f))]*EllipticPi[-((Sqrt[b]*Sqrt[d*e - c*f])/(Sqrt[d]*Sqrt[b*e - a*f])), ArcSin[(d^(1/4)*(e + f*x)^(1/4))/(d*e - c*f)^(1/4)], -1])/(d^(1/4)*(b*e - a*f)*Sqrt[c + d*x]) - (2*(d*e - c*f)^(1/4)*Sqrt[-((f*(c + d*x))/(d*e - c*f))]*EllipticPi[(Sqrt[b]*Sqrt[d*e - c*f])/(Sqrt[d]*Sqrt[b*e - a*f]), ArcSin[(d^(1/4)*(e + f*x)^(1/4))/(d*e - c*f)^(1/4)], -1])/(d^(1/4)*(b*e - a*f)*Sqrt[c + d*x])","A",5,4,26,0.1538,1,"{109, 108, 409, 1218}"
3046,1,125,0,0.0686309,"\int (a+b x)^p (A+B x) (d+e x)^{-2-p} \, dx","Int[(a + b*x)^p*(A + B*x)*(d + e*x)^(-2 - p),x]","-\frac{(a+b x)^{p+1} (B d-A e) (d+e x)^{-p-1}}{e (p+1) (b d-a e)}-\frac{B (a+b x)^p (d+e x)^{-p} \left(-\frac{e (a+b x)}{b d-a e}\right)^{-p} \, _2F_1\left(-p,-p;1-p;\frac{b (d+e x)}{b d-a e}\right)}{e^2 p}","-\frac{(a+b x)^{p+1} (B d-A e) (d+e x)^{-p-1}}{e (p+1) (b d-a e)}-\frac{B (a+b x)^p (d+e x)^{-p} \left(-\frac{e (a+b x)}{b d-a e}\right)^{-p} \, _2F_1\left(-p,-p;1-p;\frac{b (d+e x)}{b d-a e}\right)}{e^2 p}",1,"-(((B*d - A*e)*(a + b*x)^(1 + p)*(d + e*x)^(-1 - p))/(e*(b*d - a*e)*(1 + p))) - (B*(a + b*x)^p*Hypergeometric2F1[-p, -p, 1 - p, (b*(d + e*x))/(b*d - a*e)])/(e^2*p*(-((e*(a + b*x))/(b*d - a*e)))^p*(d + e*x)^p)","A",3,3,24,0.1250,1,"{79, 70, 69}"
3047,1,134,0,0.0800228,"\int (a+b x) (c+d x)^n (e+f x)^{-n} \, dx","Int[((a + b*x)*(c + d*x)^n)/(e + f*x)^n,x]","\frac{(c+d x)^{n+1} (e+f x)^{-n} \left(\frac{d (e+f x)}{d e-c f}\right)^n (2 a d f-b c f (1-n)-b d e (n+1)) \, _2F_1\left(n,n+1;n+2;-\frac{f (c+d x)}{d e-c f}\right)}{2 d^2 f (n+1)}+\frac{b (c+d x)^{n+1} (e+f x)^{1-n}}{2 d f}","\frac{(c+d x)^{n+1} (e+f x)^{-n} \left(\frac{d (e+f x)}{d e-c f}\right)^n (2 a d f-b (c f (1-n)+d e (n+1))) \, _2F_1\left(n,n+1;n+2;-\frac{f (c+d x)}{d e-c f}\right)}{2 d^2 f (n+1)}+\frac{b (c+d x)^{n+1} (e+f x)^{1-n}}{2 d f}",1,"(b*(c + d*x)^(1 + n)*(e + f*x)^(1 - n))/(2*d*f) + ((2*a*d*f - b*c*f*(1 - n) - b*d*e*(1 + n))*(c + d*x)^(1 + n)*((d*(e + f*x))/(d*e - c*f))^n*Hypergeometric2F1[n, 1 + n, 2 + n, -((f*(c + d*x))/(d*e - c*f))])/(2*d^2*f*(1 + n)*(e + f*x)^n)","A",3,3,22,0.1364,1,"{80, 70, 69}"
3048,1,152,0,0.0740748,"\int (a+b x) (c+d x)^{-1+n} (e+f x)^{-n} \, dx","Int[((a + b*x)*(c + d*x)^(-1 + n))/(e + f*x)^n,x]","-\frac{(c+d x)^{n+1} (e+f x)^{-n} \left(\frac{d (e+f x)}{d e-c f}\right)^n (a d f-b c f (1-n)-b d e n) \, _2F_1\left(n,n+1;n+2;-\frac{f (c+d x)}{d e-c f}\right)}{d^2 n (n+1) (d e-c f)}-\frac{(b c-a d) (c+d x)^n (e+f x)^{1-n}}{d n (d e-c f)}","-\frac{(c+d x)^{n+1} (e+f x)^{-n} \left(\frac{d (e+f x)}{d e-c f}\right)^n (a d f-b (c f (1-n)+d e n)) \, _2F_1\left(n,n+1;n+2;-\frac{f (c+d x)}{d e-c f}\right)}{d^2 n (n+1) (d e-c f)}-\frac{(b c-a d) (c+d x)^n (e+f x)^{1-n}}{d n (d e-c f)}",1,"-(((b*c - a*d)*(c + d*x)^n*(e + f*x)^(1 - n))/(d*(d*e - c*f)*n)) - ((a*d*f - b*c*f*(1 - n) - b*d*e*n)*(c + d*x)^(1 + n)*((d*(e + f*x))/(d*e - c*f))^n*Hypergeometric2F1[n, 1 + n, 2 + n, -((f*(c + d*x))/(d*e - c*f))])/(d^2*(d*e - c*f)*n*(1 + n)*(e + f*x)^n)","A",3,3,24,0.1250,1,"{79, 70, 69}"
3049,1,117,0,0.054705,"\int (a+b x) (c+d x)^{-2+n} (e+f x)^{-n} \, dx","Int[((a + b*x)*(c + d*x)^(-2 + n))/(e + f*x)^n,x]","\frac{(b c-a d) (c+d x)^{n-1} (e+f x)^{1-n}}{d (1-n) (d e-c f)}+\frac{b (c+d x)^n (e+f x)^{-n} \left(\frac{d (e+f x)}{d e-c f}\right)^n \, _2F_1\left(n,n;n+1;-\frac{f (c+d x)}{d e-c f}\right)}{d^2 n}","\frac{(b c-a d) (c+d x)^{n-1} (e+f x)^{1-n}}{d (1-n) (d e-c f)}+\frac{b (c+d x)^n (e+f x)^{-n} \left(\frac{d (e+f x)}{d e-c f}\right)^n \, _2F_1\left(n,n;n+1;-\frac{f (c+d x)}{d e-c f}\right)}{d^2 n}",1,"((b*c - a*d)*(c + d*x)^(-1 + n)*(e + f*x)^(1 - n))/(d*(d*e - c*f)*(1 - n)) + (b*(c + d*x)^n*((d*(e + f*x))/(d*e - c*f))^n*Hypergeometric2F1[n, n, 1 + n, -((f*(c + d*x))/(d*e - c*f))])/(d^2*n*(e + f*x)^n)","A",3,3,24,0.1250,1,"{79, 70, 69}"
3050,1,122,0,0.0580893,"\int (a+b x) (c+d x)^{-3+n} (e+f x)^{-n} \, dx","Int[((a + b*x)*(c + d*x)^(-3 + n))/(e + f*x)^n,x]","\frac{(b c-a d) (c+d x)^{n-2} (e+f x)^{1-n}}{d (2-n) (d e-c f)}+\frac{(c+d x)^{n-1} (e+f x)^{1-n} (a d f+b c f (1-n)-b d e (2-n))}{d (1-n) (2-n) (d e-c f)^2}","\frac{(b c-a d) (c+d x)^{n-2} (e+f x)^{1-n}}{d (2-n) (d e-c f)}+\frac{(c+d x)^{n-1} (e+f x)^{1-n} (a d f+b (c f (1-n)-d e (2-n)))}{d (1-n) (2-n) (d e-c f)^2}",1,"((b*c - a*d)*(c + d*x)^(-2 + n)*(e + f*x)^(1 - n))/(d*(d*e - c*f)*(2 - n)) + ((a*d*f + b*c*f*(1 - n) - b*d*e*(2 - n))*(c + d*x)^(-1 + n)*(e + f*x)^(1 - n))/(d*(d*e - c*f)^2*(1 - n)*(2 - n))","A",2,2,24,0.08333,1,"{79, 37}"
3051,1,205,0,0.1240188,"\int (a+b x) (c+d x)^{-4+n} (e+f x)^{-n} \, dx","Int[((a + b*x)*(c + d*x)^(-4 + n))/(e + f*x)^n,x]","\frac{(b c-a d) (c+d x)^{n-3} (e+f x)^{1-n}}{d (3-n) (d e-c f)}+\frac{(c+d x)^{n-2} (e+f x)^{1-n} (2 a d f+b c f (1-n)-b d e (3-n))}{d (2-n) (3-n) (d e-c f)^2}-\frac{f (c+d x)^{n-1} (e+f x)^{1-n} (2 a d f+b c f (1-n)-b d e (3-n))}{d (1-n) (2-n) (3-n) (d e-c f)^3}","\frac{(b c-a d) (c+d x)^{n-3} (e+f x)^{1-n}}{d (3-n) (d e-c f)}+\frac{(c+d x)^{n-2} (e+f x)^{1-n} (2 a d f+b (c f (1-n)-d e (3-n)))}{d (2-n) (3-n) (d e-c f)^2}-\frac{f (c+d x)^{n-1} (e+f x)^{1-n} (2 a d f+b (c f (1-n)-d e (3-n)))}{d (1-n) (2-n) (3-n) (d e-c f)^3}",1,"((b*c - a*d)*(c + d*x)^(-3 + n)*(e + f*x)^(1 - n))/(d*(d*e - c*f)*(3 - n)) + ((2*a*d*f + b*c*f*(1 - n) - b*d*e*(3 - n))*(c + d*x)^(-2 + n)*(e + f*x)^(1 - n))/(d*(d*e - c*f)^2*(2 - n)*(3 - n)) - (f*(2*a*d*f + b*c*f*(1 - n) - b*d*e*(3 - n))*(c + d*x)^(-1 + n)*(e + f*x)^(1 - n))/(d*(d*e - c*f)^3*(1 - n)*(2 - n)*(3 - n))","A",3,3,24,0.1250,1,"{79, 45, 37}"
3052,1,296,0,0.1959018,"\int (a+b x) (c+d x)^{-5+n} (e+f x)^{-n} \, dx","Int[((a + b*x)*(c + d*x)^(-5 + n))/(e + f*x)^n,x]","\frac{2 f^2 (c+d x)^{n-1} (e+f x)^{1-n} (3 a d f+b c f (1-n)-b d e (4-n))}{d (1-n) (2-n) (3-n) (4-n) (d e-c f)^4}+\frac{(b c-a d) (c+d x)^{n-4} (e+f x)^{1-n}}{d (4-n) (d e-c f)}+\frac{(c+d x)^{n-3} (e+f x)^{1-n} (3 a d f+b c f (1-n)-b d e (4-n))}{d (3-n) (4-n) (d e-c f)^2}-\frac{2 f (c+d x)^{n-2} (e+f x)^{1-n} (3 a d f+b c f (1-n)-b d e (4-n))}{d (2-n) (3-n) (4-n) (d e-c f)^3}","\frac{2 f^2 (c+d x)^{n-1} (e+f x)^{1-n} (3 a d f+b (c f (1-n)-d e (4-n)))}{d (1-n) (2-n) (3-n) (4-n) (d e-c f)^4}+\frac{(b c-a d) (c+d x)^{n-4} (e+f x)^{1-n}}{d (4-n) (d e-c f)}+\frac{(c+d x)^{n-3} (e+f x)^{1-n} (3 a d f+b (c f (1-n)-d e (4-n)))}{d (3-n) (4-n) (d e-c f)^2}-\frac{2 f (c+d x)^{n-2} (e+f x)^{1-n} (3 a d f+b (c f (1-n)-d e (4-n)))}{d (2-n) (3-n) (4-n) (d e-c f)^3}",1,"((b*c - a*d)*(c + d*x)^(-4 + n)*(e + f*x)^(1 - n))/(d*(d*e - c*f)*(4 - n)) + ((3*a*d*f + b*c*f*(1 - n) - b*d*e*(4 - n))*(c + d*x)^(-3 + n)*(e + f*x)^(1 - n))/(d*(d*e - c*f)^2*(3 - n)*(4 - n)) - (2*f*(3*a*d*f + b*c*f*(1 - n) - b*d*e*(4 - n))*(c + d*x)^(-2 + n)*(e + f*x)^(1 - n))/(d*(d*e - c*f)^3*(2 - n)*(3 - n)*(4 - n)) + (2*f^2*(3*a*d*f + b*c*f*(1 - n) - b*d*e*(4 - n))*(c + d*x)^(-1 + n)*(e + f*x)^(1 - n))/(d*(d*e - c*f)^4*(1 - n)*(2 - n)*(3 - n)*(4 - n))","A",4,3,24,0.1250,1,"{79, 45, 37}"
3053,1,134,0,0.0757344,"\int (a+b x)^{-n} (c+d x) (e+f x)^n \, dx","Int[((c + d*x)*(e + f*x)^n)/(a + b*x)^n,x]","\frac{(a+b x)^{-n} (e+f x)^{n+1} \left(-\frac{f (a+b x)}{b e-a f}\right)^n (-a d f (n+1)+2 b c f-b d e (1-n)) \, _2F_1\left(n,n+1;n+2;\frac{b (e+f x)}{b e-a f}\right)}{2 b f^2 (n+1)}+\frac{d (a+b x)^{1-n} (e+f x)^{n+1}}{2 b f}","\frac{(a+b x)^{-n} (e+f x)^{n+1} \left(-\frac{f (a+b x)}{b e-a f}\right)^n (b (2 c f-d e (1-n))-a d f (n+1)) \, _2F_1\left(n,n+1;n+2;\frac{b (e+f x)}{b e-a f}\right)}{2 b f^2 (n+1)}+\frac{d (a+b x)^{1-n} (e+f x)^{n+1}}{2 b f}",1,"(d*(a + b*x)^(1 - n)*(e + f*x)^(1 + n))/(2*b*f) + ((2*b*c*f - b*d*e*(1 - n) - a*d*f*(1 + n))*(-((f*(a + b*x))/(b*e - a*f)))^n*(e + f*x)^(1 + n)*Hypergeometric2F1[n, 1 + n, 2 + n, (b*(e + f*x))/(b*e - a*f)])/(2*b*f^2*(1 + n)*(a + b*x)^n)","A",3,3,22,0.1364,1,"{80, 70, 69}"
3054,1,150,0,0.0701446,"\int (a+b x)^{-n} (c+d x) (e+f x)^{-1+n} \, dx","Int[((c + d*x)*(e + f*x)^(-1 + n))/(a + b*x)^n,x]","\frac{(a+b x)^{-n} (e+f x)^{n+1} \left(-\frac{f (a+b x)}{b e-a f}\right)^n (-a d f n+b c f-b d e (1-n)) \, _2F_1\left(n,n+1;n+2;\frac{b (e+f x)}{b e-a f}\right)}{f^2 n (n+1) (b e-a f)}+\frac{(a+b x)^{1-n} (d e-c f) (e+f x)^n}{f n (b e-a f)}","\frac{(a+b x)^{-n} (e+f x)^{n+1} \left(-\frac{f (a+b x)}{b e-a f}\right)^n (b (c f-d e (1-n))-a d f n) \, _2F_1\left(n,n+1;n+2;\frac{b (e+f x)}{b e-a f}\right)}{f^2 n (n+1) (b e-a f)}+\frac{(a+b x)^{1-n} (d e-c f) (e+f x)^n}{f n (b e-a f)}",1,"((d*e - c*f)*(a + b*x)^(1 - n)*(e + f*x)^n)/(f*(b*e - a*f)*n) + ((b*c*f - b*d*e*(1 - n) - a*d*f*n)*(-((f*(a + b*x))/(b*e - a*f)))^n*(e + f*x)^(1 + n)*Hypergeometric2F1[n, 1 + n, 2 + n, (b*(e + f*x))/(b*e - a*f)])/(f^2*(b*e - a*f)*n*(1 + n)*(a + b*x)^n)","A",3,3,24,0.1250,1,"{79, 70, 69}"
3055,1,118,0,0.0539389,"\int (a+b x)^{-n} (c+d x) (e+f x)^{-2+n} \, dx","Int[((c + d*x)*(e + f*x)^(-2 + n))/(a + b*x)^n,x]","\frac{d (a+b x)^{-n} (e+f x)^n \left(-\frac{f (a+b x)}{b e-a f}\right)^n \, _2F_1\left(n,n;n+1;\frac{b (e+f x)}{b e-a f}\right)}{f^2 n}-\frac{(a+b x)^{1-n} (d e-c f) (e+f x)^{n-1}}{f (1-n) (b e-a f)}","\frac{d (a+b x)^{-n} (e+f x)^n \left(-\frac{f (a+b x)}{b e-a f}\right)^n \, _2F_1\left(n,n;n+1;\frac{b (e+f x)}{b e-a f}\right)}{f^2 n}-\frac{(a+b x)^{1-n} (d e-c f) (e+f x)^{n-1}}{f (1-n) (b e-a f)}",1,"-(((d*e - c*f)*(a + b*x)^(1 - n)*(e + f*x)^(-1 + n))/(f*(b*e - a*f)*(1 - n))) + (d*(-((f*(a + b*x))/(b*e - a*f)))^n*(e + f*x)^n*Hypergeometric2F1[n, n, 1 + n, (b*(e + f*x))/(b*e - a*f)])/(f^2*n*(a + b*x)^n)","A",3,3,24,0.1250,1,"{79, 70, 69}"
3056,1,123,0,0.063886,"\int (a+b x)^{-n} (c+d x) (e+f x)^{-3+n} \, dx","Int[((c + d*x)*(e + f*x)^(-3 + n))/(a + b*x)^n,x]","\frac{(a+b x)^{1-n} (e+f x)^{n-1} (-a d f (2-n)+b c f+b d (e-e n))}{f (1-n) (2-n) (b e-a f)^2}-\frac{(a+b x)^{1-n} (d e-c f) (e+f x)^{n-2}}{f (2-n) (b e-a f)}","-\frac{(a+b x)^{1-n} (d e-c f) (e+f x)^{n-2}}{f (2-n) (b e-a f)}-\frac{(a+b x)^{1-n} (e+f x)^{n-1} (a d f (2-n)-b (c f+d (e-e n)))}{f (1-n) (2-n) (b e-a f)^2}",1,"-(((d*e - c*f)*(a + b*x)^(1 - n)*(e + f*x)^(-2 + n))/(f*(b*e - a*f)*(2 - n))) + ((b*c*f - a*d*f*(2 - n) + b*d*(e - e*n))*(a + b*x)^(1 - n)*(e + f*x)^(-1 + n))/(f*(b*e - a*f)^2*(1 - n)*(2 - n))","A",2,2,24,0.08333,1,"{79, 37}"
3057,1,205,0,0.1179842,"\int (a+b x)^{-n} (c+d x) (e+f x)^{-4+n} \, dx","Int[((c + d*x)*(e + f*x)^(-4 + n))/(a + b*x)^n,x]","-\frac{(a+b x)^{1-n} (d e-c f) (e+f x)^{n-3}}{f (3-n) (b e-a f)}+\frac{(a+b x)^{1-n} (e+f x)^{n-2} (-a d f (3-n)+2 b c f+b d e (1-n))}{f (2-n) (3-n) (b e-a f)^2}+\frac{b (a+b x)^{1-n} (e+f x)^{n-1} (-a d f (3-n)+2 b c f+b d e (1-n))}{f (1-n) (2-n) (3-n) (b e-a f)^3}","-\frac{(a+b x)^{1-n} (d e-c f) (e+f x)^{n-3}}{f (3-n) (b e-a f)}+\frac{(a+b x)^{1-n} (e+f x)^{n-2} (b (2 c f+d e (1-n))-a d f (3-n))}{f (2-n) (3-n) (b e-a f)^2}+\frac{b (a+b x)^{1-n} (e+f x)^{n-1} (b (2 c f+d e (1-n))-a d f (3-n))}{f (1-n) (2-n) (3-n) (b e-a f)^3}",1,"-(((d*e - c*f)*(a + b*x)^(1 - n)*(e + f*x)^(-3 + n))/(f*(b*e - a*f)*(3 - n))) + ((2*b*c*f + b*d*e*(1 - n) - a*d*f*(3 - n))*(a + b*x)^(1 - n)*(e + f*x)^(-2 + n))/(f*(b*e - a*f)^2*(2 - n)*(3 - n)) + (b*(2*b*c*f + b*d*e*(1 - n) - a*d*f*(3 - n))*(a + b*x)^(1 - n)*(e + f*x)^(-1 + n))/(f*(b*e - a*f)^3*(1 - n)*(2 - n)*(3 - n))","A",3,3,24,0.1250,1,"{79, 45, 37}"
3058,1,297,0,0.1926072,"\int (a+b x)^{-n} (c+d x) (e+f x)^{-5+n} \, dx","Int[((c + d*x)*(e + f*x)^(-5 + n))/(a + b*x)^n,x]","\frac{2 b^2 (a+b x)^{1-n} (e+f x)^{n-1} (-a d f (4-n)+3 b c f+b d e (1-n))}{f (1-n) (2-n) (3-n) (4-n) (b e-a f)^4}-\frac{(a+b x)^{1-n} (d e-c f) (e+f x)^{n-4}}{f (4-n) (b e-a f)}+\frac{(a+b x)^{1-n} (e+f x)^{n-3} (-a d f (4-n)+3 b c f+b d e (1-n))}{f (3-n) (4-n) (b e-a f)^2}+\frac{2 b (a+b x)^{1-n} (e+f x)^{n-2} (-a d f (4-n)+3 b c f+b d e (1-n))}{f (2-n) (3-n) (4-n) (b e-a f)^3}","\frac{2 b^2 (a+b x)^{1-n} (e+f x)^{n-1} (b (3 c f+d e (1-n))-a d f (4-n))}{f (1-n) (2-n) (3-n) (4-n) (b e-a f)^4}-\frac{(a+b x)^{1-n} (d e-c f) (e+f x)^{n-4}}{f (4-n) (b e-a f)}+\frac{(a+b x)^{1-n} (e+f x)^{n-3} (b (3 c f+d e (1-n))-a d f (4-n))}{f (3-n) (4-n) (b e-a f)^2}+\frac{2 b (a+b x)^{1-n} (e+f x)^{n-2} (b (3 c f+d e (1-n))-a d f (4-n))}{f (2-n) (3-n) (4-n) (b e-a f)^3}",1,"-(((d*e - c*f)*(a + b*x)^(1 - n)*(e + f*x)^(-4 + n))/(f*(b*e - a*f)*(4 - n))) + ((3*b*c*f + b*d*e*(1 - n) - a*d*f*(4 - n))*(a + b*x)^(1 - n)*(e + f*x)^(-3 + n))/(f*(b*e - a*f)^2*(3 - n)*(4 - n)) + (2*b*(3*b*c*f + b*d*e*(1 - n) - a*d*f*(4 - n))*(a + b*x)^(1 - n)*(e + f*x)^(-2 + n))/(f*(b*e - a*f)^3*(2 - n)*(3 - n)*(4 - n)) + (2*b^2*(3*b*c*f + b*d*e*(1 - n) - a*d*f*(4 - n))*(a + b*x)^(1 - n)*(e + f*x)^(-1 + n))/(f*(b*e - a*f)^4*(1 - n)*(2 - n)*(3 - n)*(4 - n))","A",4,3,24,0.1250,1,"{79, 45, 37}"
3059,1,121,0,0.093475,"\int (a+b x)^m (c+d x)^{-m} (e+f x)^p \, dx","Int[((a + b*x)^m*(e + f*x)^p)/(c + d*x)^m,x]","\frac{(a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b (m+1)}","\frac{(a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b (m+1)}",1,"((a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*(e + f*x)^p*AppellF1[1 + m, m, -p, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(b*(1 + m)*(c + d*x)^m*((b*(e + f*x))/(b*e - a*f))^p)","A",3,3,24,0.1250,1,"{140, 139, 138}"
3060,1,188,0,0.2256221,"\int (5-4 x)^4 (1+2 x)^{-m} (2+3 x)^m \, dx","Int[((5 - 4*x)^4*(2 + 3*x)^m)/(1 + 2*x)^m,x]","\frac{2^{-m-1} \left(2 m^4-440 m^3+29050 m^2-639760 m+3528363\right) (2 x+1)^{1-m} \, _2F_1(1-m,-m;2-m;-3 (2 x+1))}{1215 (1-m)}-\frac{(3 x+2)^{m+1} \left(-24 \left(m^2-154 m+4359\right) x-2 m^3+426 m^2-25441 m+386850\right) (2 x+1)^{1-m}}{1215}-\frac{2}{15} (5-4 x)^3 (3 x+2)^{m+1} (2 x+1)^{1-m}-\frac{1}{45} (88-m) (5-4 x)^2 (3 x+2)^{m+1} (2 x+1)^{1-m}","\frac{2^{-m-1} \left(2 m^4-440 m^3+29050 m^2-639760 m+3528363\right) (2 x+1)^{1-m} \, _2F_1(1-m,-m;2-m;-3 (2 x+1))}{1215 (1-m)}-\frac{(3 x+2)^{m+1} \left(-24 \left(m^2-154 m+4359\right) x-2 m^3+426 m^2-25441 m+386850\right) (2 x+1)^{1-m}}{1215}-\frac{2}{15} (5-4 x)^3 (3 x+2)^{m+1} (2 x+1)^{1-m}-\frac{1}{45} (88-m) (5-4 x)^2 (3 x+2)^{m+1} (2 x+1)^{1-m}",1,"-((88 - m)*(5 - 4*x)^2*(1 + 2*x)^(1 - m)*(2 + 3*x)^(1 + m))/45 - (2*(5 - 4*x)^3*(1 + 2*x)^(1 - m)*(2 + 3*x)^(1 + m))/15 - ((1 + 2*x)^(1 - m)*(2 + 3*x)^(1 + m)*(386850 - 25441*m + 426*m^2 - 2*m^3 - 24*(4359 - 154*m + m^2)*x))/1215 + (2^(-1 - m)*(3528363 - 639760*m + 29050*m^2 - 440*m^3 + 2*m^4)*(1 + 2*x)^(1 - m)*Hypergeometric2F1[1 - m, -m, 2 - m, -3*(1 + 2*x)])/(1215*(1 - m))","A",4,4,24,0.1667,1,"{100, 153, 147, 69}"
3061,1,431,0,0.4863985,"\int (a+b x)^m (c+d x)^{-m} (e+f x)^3 \, dx","Int[((a + b*x)^m*(e + f*x)^3)/(c + d*x)^m,x]","-\frac{(a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(-3 a^2 b d^2 f^2 \left(m^2-3 m+2\right) (4 d e-c f (m+1))+a^3 d^3 f^3 \left(-m^3+6 m^2-11 m+6\right)+3 a b^2 d f (1-m) \left(c^2 f^2 \left(m^2+3 m+2\right)-8 c d e f (m+1)+12 d^2 e^2\right)+b^3 \left(-\left(12 c^2 d e f^2 \left(m^2+3 m+2\right)-c^3 f^3 \left(m^3+6 m^2+11 m+6\right)-36 c d^2 e^2 f (m+1)+24 d^3 e^3\right)\right)\right) \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{24 b^4 d^3 (m+1)}+\frac{f (a+b x)^{m+1} (c+d x)^{1-m} \left(a^2 d^2 f^2 \left(m^2-5 m+6\right)-2 a b d f \left(6 d e (2-m)-c f \left(3-m^2\right)\right)+2 b d f x (-a d f (3-m)-b c f (m+3)+6 b d e)+b^2 \left(c^2 f^2 \left(m^2+5 m+6\right)-12 c d e f (m+2)+30 d^2 e^2\right)\right)}{24 b^3 d^3}+\frac{f (e+f x)^2 (a+b x)^{m+1} (c+d x)^{1-m}}{4 b d}","-\frac{(a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(-3 a^2 b d^2 f^2 \left(m^2-3 m+2\right) (4 d e-c f (m+1))+a^3 d^3 f^3 \left(-m^3+6 m^2-11 m+6\right)+3 a b^2 d f (1-m) \left(c^2 f^2 \left(m^2+3 m+2\right)-8 c d e f (m+1)+12 d^2 e^2\right)+b^3 \left(-\left(12 c^2 d e f^2 \left(m^2+3 m+2\right)-c^3 f^3 \left(m^3+6 m^2+11 m+6\right)-36 c d^2 e^2 f (m+1)+24 d^3 e^3\right)\right)\right) \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{24 b^4 d^3 (m+1)}+\frac{f (a+b x)^{m+1} (c+d x)^{1-m} \left(a^2 d^2 f^2 \left(m^2-5 m+6\right)-2 a b d f \left(6 d e (2-m)-c f \left(3-m^2\right)\right)-2 b d f x (a d f (3-m)-b (6 d e-c f (m+3)))+b^2 \left(c^2 f^2 \left(m^2+5 m+6\right)-12 c d e f (m+2)+30 d^2 e^2\right)\right)}{24 b^3 d^3}+\frac{f (e+f x)^2 (a+b x)^{m+1} (c+d x)^{1-m}}{4 b d}",1,"(f*(a + b*x)^(1 + m)*(c + d*x)^(1 - m)*(e + f*x)^2)/(4*b*d) + (f*(a + b*x)^(1 + m)*(c + d*x)^(1 - m)*(a^2*d^2*f^2*(6 - 5*m + m^2) - 2*a*b*d*f*(6*d*e*(2 - m) - c*f*(3 - m^2)) + b^2*(30*d^2*e^2 - 12*c*d*e*f*(2 + m) + c^2*f^2*(6 + 5*m + m^2)) + 2*b*d*f*(6*b*d*e - a*d*f*(3 - m) - b*c*f*(3 + m))*x))/(24*b^3*d^3) - ((a^3*d^3*f^3*(6 - 11*m + 6*m^2 - m^3) - 3*a^2*b*d^2*f^2*(2 - 3*m + m^2)*(4*d*e - c*f*(1 + m)) + 3*a*b^2*d*f*(1 - m)*(12*d^2*e^2 - 8*c*d*e*f*(1 + m) + c^2*f^2*(2 + 3*m + m^2)) - b^3*(24*d^3*e^3 - 36*c*d^2*e^2*f*(1 + m) + 12*c^2*d*e*f^2*(2 + 3*m + m^2) - c^3*f^3*(6 + 11*m + 6*m^2 + m^3)))*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(24*b^4*d^3*(1 + m)*(c + d*x)^m)","A",4,4,24,0.1667,1,"{100, 147, 70, 69}"
3062,1,249,0,0.205017,"\int (a+b x)^m (c+d x)^{-m} (e+f x)^2 \, dx","Int[((a + b*x)^m*(e + f*x)^2)/(c + d*x)^m,x]","\frac{(a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(a^2 d^2 f^2 \left(m^2-3 m+2\right)-2 a b d f (1-m) (3 d e-c f (m+1))+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)-6 c d e f (m+1)+6 d^2 e^2\right)\right) \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{6 b^3 d^2 (m+1)}+\frac{f (a+b x)^{m+1} (c+d x)^{1-m} (-a d f (2-m)-b c f (m+2)+4 b d e)}{6 b^2 d^2}+\frac{f (e+f x) (a+b x)^{m+1} (c+d x)^{1-m}}{3 b d}","\frac{(a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(a^2 d^2 f^2 \left(m^2-3 m+2\right)-2 a b d f (1-m) (3 d e-c f (m+1))+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)-6 c d e f (m+1)+6 d^2 e^2\right)\right) \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{6 b^3 d^2 (m+1)}-\frac{f (a+b x)^{m+1} (c+d x)^{1-m} (a d f (2-m)-b (4 d e-c f (m+2)))}{6 b^2 d^2}+\frac{f (e+f x) (a+b x)^{m+1} (c+d x)^{1-m}}{3 b d}",1,"(f*(4*b*d*e - a*d*f*(2 - m) - b*c*f*(2 + m))*(a + b*x)^(1 + m)*(c + d*x)^(1 - m))/(6*b^2*d^2) + (f*(a + b*x)^(1 + m)*(c + d*x)^(1 - m)*(e + f*x))/(3*b*d) + ((a^2*d^2*f^2*(2 - 3*m + m^2) - 2*a*b*d*f*(1 - m)*(3*d*e - c*f*(1 + m)) + b^2*(6*d^2*e^2 - 6*c*d*e*f*(1 + m) + c^2*f^2*(2 + 3*m + m^2)))*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(6*b^3*d^2*(1 + m)*(c + d*x)^m)","A",4,4,24,0.1667,1,"{90, 80, 70, 69}"
3063,1,134,0,0.0599319,"\int (a+b x)^m (c+d x)^{-m} (e+f x) \, dx","Int[((a + b*x)^m*(e + f*x))/(c + d*x)^m,x]","\frac{(a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m (-a d f (1-m)-b c f (m+1)+2 b d e) \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{2 b^2 d (m+1)}+\frac{f (a+b x)^{m+1} (c+d x)^{1-m}}{2 b d}","\frac{f (a+b x)^{m+1} (c+d x)^{1-m}}{2 b d}-\frac{(a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m (a d f (1-m)-b (2 d e-c f (m+1))) \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{2 b^2 d (m+1)}",1,"(f*(a + b*x)^(1 + m)*(c + d*x)^(1 - m))/(2*b*d) + ((2*b*d*e - a*d*f*(1 - m) - b*c*f*(1 + m))*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(2*b^2*d*(1 + m)*(c + d*x)^m)","A",3,3,22,0.1364,1,"{80, 70, 69}"
3064,1,72,0,0.0215636,"\int (a+b x)^m (c+d x)^{-m} \, dx","Int[(a + b*x)^m/(c + d*x)^m,x]","\frac{(a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b (m+1)}","\frac{(a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b (m+1)}",1,"((a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(b*(1 + m)*(c + d*x)^m)","A",2,2,17,0.1176,1,"{70, 69}"
3065,1,128,0,0.0652544,"\int \frac{(a+b x)^m (c+d x)^{-m}}{e+f x} \, dx","Int[(a + b*x)^m/((c + d*x)^m*(e + f*x)),x]","\frac{(a+b x)^m (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m,m;m+1;-\frac{d (a+b x)}{b c-a d}\right)}{f m}-\frac{(a+b x)^m (c+d x)^{-m} \, _2F_1\left(1,m;m+1;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{f m}","\frac{(a+b x)^m (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m,m;m+1;-\frac{d (a+b x)}{b c-a d}\right)}{f m}-\frac{(a+b x)^m (c+d x)^{-m} \, _2F_1\left(1,m;m+1;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{f m}",1,"-(((a + b*x)^m*Hypergeometric2F1[1, m, 1 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(f*m*(c + d*x)^m)) + ((a + b*x)^m*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[m, m, 1 + m, -((d*(a + b*x))/(b*c - a*d))])/(f*m*(c + d*x)^m)","A",4,4,24,0.1667,1,"{105, 70, 69, 131}"
3066,1,83,0,0.022019,"\int \frac{(a+b x)^m (c+d x)^{-m}}{(e+f x)^2} \, dx","Int[(a + b*x)^m/((c + d*x)^m*(e + f*x)^2),x]","\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m-1} \, _2F_1\left(2,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{(m+1) (b e-a f)^2}","\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m-1} \, _2F_1\left(2,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{(m+1) (b e-a f)^2}",1,"((b*c - a*d)*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[2, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)^2*(1 + m))","A",1,1,24,0.04167,1,"{131}"
3067,1,173,0,0.0770256,"\int \frac{(a+b x)^m (c+d x)^{-m}}{(e+f x)^3} \, dx","Int[(a + b*x)^m/((c + d*x)^m*(e + f*x)^3),x]","\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m-1} (-a d f (m+1)-b c f (1-m)+2 b d e) \, _2F_1\left(2,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{2 (m+1) (b e-a f)^3 (d e-c f)}-\frac{f (a+b x)^{m+1} (c+d x)^{1-m}}{2 (e+f x)^2 (b e-a f) (d e-c f)}","\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m-1} (b (2 d e-c f (1-m))-a d f (m+1)) \, _2F_1\left(2,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{2 (m+1) (b e-a f)^3 (d e-c f)}-\frac{f (a+b x)^{m+1} (c+d x)^{1-m}}{2 (e+f x)^2 (b e-a f) (d e-c f)}",1,"-(f*(a + b*x)^(1 + m)*(c + d*x)^(1 - m))/(2*(b*e - a*f)*(d*e - c*f)*(e + f*x)^2) + ((b*c - a*d)*(2*b*d*e - b*c*f*(1 - m) - a*d*f*(1 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[2, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(2*(b*e - a*f)^3*(d*e - c*f)*(1 + m))","A",2,2,24,0.08333,1,"{96, 131}"
3068,1,308,0,0.3158633,"\int \frac{(a+b x)^m (c+d x)^{-m}}{(e+f x)^4} \, dx","Int[(a + b*x)^m/((c + d*x)^m*(e + f*x)^4),x]","-\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m-1} \left(-a^2 d^2 f^2 \left(m^2+3 m+2\right)+2 a b d f (m+1) (3 d e-c f (1-m))+b^2 \left(-\left(c^2 f^2 \left(m^2-3 m+2\right)-6 c d e f (1-m)+6 d^2 e^2\right)\right)\right) \, _2F_1\left(2,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{6 (m+1) (b e-a f)^4 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{1-m} (-a d f (m+2)-b c f (2-m)+4 b d e)}{6 (e+f x)^2 (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{1-m}}{3 (e+f x)^3 (b e-a f) (d e-c f)}","-\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m-1} \left(-a^2 d^2 f^2 \left(m^2+3 m+2\right)+2 a b d f (m+1) (3 d e-c f (1-m))+b^2 \left(-\left(c^2 f^2 \left(m^2-3 m+2\right)-6 c d e f (1-m)+6 d^2 e^2\right)\right)\right) \, _2F_1\left(2,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{6 (m+1) (b e-a f)^4 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{1-m} (b (4 d e-c f (2-m))-a d f (m+2))}{6 (e+f x)^2 (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{1-m}}{3 (e+f x)^3 (b e-a f) (d e-c f)}",1,"-(f*(a + b*x)^(1 + m)*(c + d*x)^(1 - m))/(3*(b*e - a*f)*(d*e - c*f)*(e + f*x)^3) - (f*(4*b*d*e - b*c*f*(2 - m) - a*d*f*(2 + m))*(a + b*x)^(1 + m)*(c + d*x)^(1 - m))/(6*(b*e - a*f)^2*(d*e - c*f)^2*(e + f*x)^2) - ((b*c - a*d)*(2*a*b*d*f*(3*d*e - c*f*(1 - m))*(1 + m) - a^2*d^2*f^2*(2 + 3*m + m^2) - b^2*(6*d^2*e^2 - 6*c*d*e*f*(1 - m) + c^2*f^2*(2 - 3*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[2, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(6*(b*e - a*f)^4*(d*e - c*f)^2*(1 + m))","A",4,4,24,0.1667,1,"{129, 151, 12, 131}"
3069,1,179,0,0.097856,"\int \frac{(1+2 x)^{-m} (2+3 x)^m}{(5-4 x)^5} \, dx","Int[(2 + 3*x)^m/((5 - 4*x)^5*(1 + 2*x)^m),x]","\frac{\left(m^3+132 m^2+4358 m+32010\right) (3 x+2)^{m-1} (2 x+1)^{1-m} \, _2F_1\left(2,1-m;2-m;\frac{23 (2 x+1)}{14 (3 x+2)}\right)}{2453889228 (1-m)}+\frac{\left(2 m^2+220 m+4359\right) (3 x+2)^{m+1} (2 x+1)^{1-m}}{25039686 (5-4 x)^2}+\frac{(m+66) (3 x+2)^{m+1} (2 x+1)^{1-m}}{77763 (5-4 x)^3}+\frac{(3 x+2)^{m+1} (2 x+1)^{1-m}}{322 (5-4 x)^4}","\frac{\left(m^3+132 m^2+4358 m+32010\right) (3 x+2)^{m-1} (2 x+1)^{1-m} \, _2F_1\left(2,1-m;2-m;\frac{23 (2 x+1)}{14 (3 x+2)}\right)}{2453889228 (1-m)}+\frac{\left(2 m^2+220 m+4359\right) (3 x+2)^{m+1} (2 x+1)^{1-m}}{25039686 (5-4 x)^2}+\frac{(m+66) (3 x+2)^{m+1} (2 x+1)^{1-m}}{77763 (5-4 x)^3}+\frac{(3 x+2)^{m+1} (2 x+1)^{1-m}}{322 (5-4 x)^4}",1,"((1 + 2*x)^(1 - m)*(2 + 3*x)^(1 + m))/(322*(5 - 4*x)^4) + ((66 + m)*(1 + 2*x)^(1 - m)*(2 + 3*x)^(1 + m))/(77763*(5 - 4*x)^3) + ((4359 + 220*m + 2*m^2)*(1 + 2*x)^(1 - m)*(2 + 3*x)^(1 + m))/(25039686*(5 - 4*x)^2) + ((32010 + 4358*m + 132*m^2 + m^3)*(1 + 2*x)^(1 - m)*(2 + 3*x)^(-1 + m)*Hypergeometric2F1[2, 1 - m, 2 - m, (23*(1 + 2*x))/(14*(2 + 3*x))])/(2453889228*(1 - m))","A",5,4,24,0.1667,1,"{129, 151, 12, 131}"
3070,1,130,0,0.0967013,"\int (a+b x)^m (c+d x)^{-1-m} (e+f x)^p \, dx","Int[(a + b*x)^m*(c + d*x)^(-1 - m)*(e + f*x)^p,x]","\frac{(a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m+1,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b c-a d)}","\frac{(a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m+1,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b c-a d)}",1,"((a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*(e + f*x)^p*AppellF1[1 + m, 1 + m, -p, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/((b*c - a*d)*(1 + m)*(c + d*x)^m*((b*(e + f*x))/(b*e - a*f))^p)","A",3,3,26,0.1154,1,"{140, 139, 138}"
3071,1,142,0,0.1767122,"\int (5-4 x)^3 (1+2 x)^{-1-m} (2+3 x)^m \, dx","Int[(5 - 4*x)^3*(1 + 2*x)^(-1 - m)*(2 + 3*x)^m,x]","\frac{2^{-m-1} \left(-4 m^3+390 m^2-8324 m+27783\right) (2 x+1)^{1-m} \, _2F_1(1-m,-m;2-m;-3 (2 x+1))}{27 (1-m) m}-\frac{(3 x+2)^{m+1} \left(4 m^2-4 (109-2 m) m x-512 m+9261\right) (2 x+1)^{-m}}{27 m}-\frac{2}{9} (5-4 x)^2 (3 x+2)^{m+1} (2 x+1)^{-m}","\frac{2^{-m-1} \left(-4 m^3+390 m^2-8324 m+27783\right) (2 x+1)^{1-m} \, _2F_1(1-m,-m;2-m;-3 (2 x+1))}{27 (1-m) m}-\frac{(3 x+2)^{m+1} \left(4 m^2-4 (109-2 m) m x-512 m+9261\right) (2 x+1)^{-m}}{27 m}-\frac{2}{9} (5-4 x)^2 (3 x+2)^{m+1} (2 x+1)^{-m}",1,"(-2*(5 - 4*x)^2*(2 + 3*x)^(1 + m))/(9*(1 + 2*x)^m) - ((2 + 3*x)^(1 + m)*(9261 - 512*m + 4*m^2 - 4*(109 - 2*m)*m*x))/(27*m*(1 + 2*x)^m) + (2^(-1 - m)*(27783 - 8324*m + 390*m^2 - 4*m^3)*(1 + 2*x)^(1 - m)*Hypergeometric2F1[1 - m, -m, 2 - m, -3*(1 + 2*x)])/(27*(1 - m)*m)","A",3,3,26,0.1154,1,"{100, 146, 69}"
3072,1,121,0,0.098925,"\int (5-4 x)^2 (1+2 x)^{-1-m} (2+3 x)^m \, dx","Int[(5 - 4*x)^2*(1 + 2*x)^(-1 - m)*(2 + 3*x)^m,x]","\frac{2^{-m-1} \left(2 m^2-86 m+441\right) (2 x+1)^{1-m} \, _2F_1(1-m,-m;2-m;-3 (2 x+1))}{3 (1-m) m}-\frac{1}{3} (5-4 x) (3 x+2)^{m+1} (2 x+1)^{-m}-\frac{7 (21-m) (3 x+2)^{m+1} (2 x+1)^{-m}}{3 m}","\frac{2^{-m-1} \left(2 m^2-86 m+441\right) (2 x+1)^{1-m} \, _2F_1(1-m,-m;2-m;-3 (2 x+1))}{3 (1-m) m}-\frac{1}{3} (5-4 x) (3 x+2)^{m+1} (2 x+1)^{-m}-\frac{7 (21-m) (3 x+2)^{m+1} (2 x+1)^{-m}}{3 m}",1,"(-7*(21 - m)*(2 + 3*x)^(1 + m))/(3*m*(1 + 2*x)^m) - ((5 - 4*x)*(2 + 3*x)^(1 + m))/(3*(1 + 2*x)^m) + (2^(-1 - m)*(441 - 86*m + 2*m^2)*(1 + 2*x)^(1 - m)*Hypergeometric2F1[1 - m, -m, 2 - m, -3*(1 + 2*x)])/(3*(1 - m)*m)","A",3,3,26,0.1154,1,"{90, 79, 69}"
3073,1,151,0,0.0799128,"\int (a+b x)^m (c+d x)^{-1-m} (e+f x) \, dx","Int[(a + b*x)^m*(c + d*x)^(-1 - m)*(e + f*x),x]","\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m}}{d m (b c-a d)}-\frac{(a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m (a d f m-b c f (m+1)+b d e) \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b d m (m+1) (b c-a d)}","\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m}}{d m (b c-a d)}-\frac{(a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m (a d f m+b (d e-c f (m+1))) \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b d m (m+1) (b c-a d)}",1,"((d*e - c*f)*(a + b*x)^(1 + m))/(d*(b*c - a*d)*m*(c + d*x)^m) - ((b*d*e + a*d*f*m - b*c*f*(1 + m))*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(b*d*(b*c - a*d)*m*(1 + m)*(c + d*x)^m)","A",3,3,24,0.1250,1,"{79, 70, 69}"
3074,1,75,0,0.0304264,"\int (a+b x)^m (c+d x)^{-1-m} \, dx","Int[(a + b*x)^m*(c + d*x)^(-1 - m),x]","-\frac{(a+b x)^m (c+d x)^{-m} \left(-\frac{d (a+b x)}{b c-a d}\right)^{-m} \, _2F_1\left(-m,-m;1-m;\frac{b (c+d x)}{b c-a d}\right)}{d m}","-\frac{(a+b x)^m (c+d x)^{-m} \left(-\frac{d (a+b x)}{b c-a d}\right)^{-m} \, _2F_1\left(-m,-m;1-m;\frac{b (c+d x)}{b c-a d}\right)}{d m}",1,"-(((a + b*x)^m*Hypergeometric2F1[-m, -m, 1 - m, (b*(c + d*x))/(b*c - a*d)])/(d*m*(-((d*(a + b*x))/(b*c - a*d)))^m*(c + d*x)^m))","A",2,2,19,0.1053,1,"{70, 69}"
3075,1,75,0,0.0175162,"\int \frac{(a+b x)^m (c+d x)^{-1-m}}{e+f x} \, dx","Int[((a + b*x)^m*(c + d*x)^(-1 - m))/(e + f*x),x]","\frac{(a+b x)^{m+1} (c+d x)^{-m-1} \, _2F_1\left(1,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{(m+1) (b e-a f)}","-\frac{(a+b x)^m (c+d x)^{-m} \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{m (d e-c f)}",1,"((a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[1, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)*(1 + m))","A",1,1,26,0.03846,1,"{131}"
3076,1,158,0,0.0718896,"\int \frac{(a+b x)^m (c+d x)^{-1-m}}{(e+f x)^2} \, dx","Int[((a + b*x)^m*(c + d*x)^(-1 - m))/(e + f*x)^2,x]","\frac{(a+b x)^{m+1} (c+d x)^{-m-1} (a d f (m+1)-b (c f m+d e)) \, _2F_1\left(2,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{m (m+1) (b e-a f)^2 (d e-c f)}+\frac{d (a+b x)^{m+1} (c+d x)^{-m}}{m (e+f x) (b c-a d) (d e-c f)}","\frac{(a+b x)^{m+1} (c+d x)^{-m-1} (a d f (m+1)-b (c f m+d e)) \, _2F_1\left(2,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{m (m+1) (b e-a f)^2 (d e-c f)}+\frac{d (a+b x)^{m+1} (c+d x)^{-m}}{m (e+f x) (b c-a d) (d e-c f)}",1,"(d*(a + b*x)^(1 + m))/((b*c - a*d)*(d*e - c*f)*m*(c + d*x)^m*(e + f*x)) + ((a*d*f*(1 + m) - b*(d*e + c*f*m))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[2, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)^2*(d*e - c*f)*m*(1 + m))","A",2,2,26,0.07692,1,"{96, 131}"
3077,1,300,0,0.2858441,"\int \frac{(a+b x)^m (c+d x)^{-1-m}}{(e+f x)^3} \, dx","Int[((a + b*x)^m*(c + d*x)^(-1 - m))/(e + f*x)^3,x]","\frac{(a+b x)^{m+1} (c+d x)^{-m-1} \left(-a^2 d^2 f^2 \left(m^2+3 m+2\right)+2 a b d f (m+1) (c f m+2 d e)+b^2 \left(-\left(-c^2 f^2 (1-m) m+4 c d e f m+2 d^2 e^2\right)\right)\right) \, _2F_1\left(2,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{2 m (m+1) (b e-a f)^3 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{1-m} (a d f (m+2)-b (c f m+2 d e))}{2 m (e+f x)^2 (b c-a d) (b e-a f) (d e-c f)^2}+\frac{d (a+b x)^{m+1} (c+d x)^{-m}}{m (e+f x)^2 (b c-a d) (d e-c f)}","\frac{(a+b x)^m (c+d x)^{-m} \left(-a^2 d^2 f^2 \left(m^2+3 m+2\right)+2 a b d f (m+1) (c f m+2 d e)+b^2 \left(-\left(-c^2 f^2 (1-m) m+4 c d e f m+2 d^2 e^2\right)\right)\right) \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{2 m (b e-a f)^2 (d e-c f)^3}-\frac{f (a+b x)^{m+1} (c+d x)^{-m} (b (3 d e-c f (1-m))-a d f (m+2))}{2 (e+f x) (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{-m}}{2 (e+f x)^2 (b e-a f) (d e-c f)}",1,"-(f*(a*d*f*(2 + m) - b*(2*d*e + c*f*m))*(a + b*x)^(1 + m)*(c + d*x)^(1 - m))/(2*(b*c - a*d)*(b*e - a*f)*(d*e - c*f)^2*m*(e + f*x)^2) + (d*(a + b*x)^(1 + m))/((b*c - a*d)*(d*e - c*f)*m*(c + d*x)^m*(e + f*x)^2) + ((2*a*b*d*f*(1 + m)*(2*d*e + c*f*m) - b^2*(2*d^2*e^2 + 4*c*d*e*f*m - c^2*f^2*(1 - m)*m) - a^2*d^2*f^2*(2 + 3*m + m^2))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[2, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(2*(b*e - a*f)^3*(d*e - c*f)^2*m*(1 + m))","A",4,4,26,0.1538,1,"{129, 151, 12, 131}"
3078,1,520,0,0.8778676,"\int \frac{(a+b x)^m (c+d x)^{-1-m}}{(e+f x)^4} \, dx","Int[((a + b*x)^m*(c + d*x)^(-1 - m))/(e + f*x)^4,x]","\frac{(a+b x)^{m+1} (c+d x)^{-m-1} \left(-3 a^2 b d^2 f^2 \left(m^2+3 m+2\right) (c f m+3 d e)+a^3 d^3 f^3 \left(m^3+6 m^2+11 m+6\right)+3 a b^2 d f (m+1) \left(-c^2 f^2 (1-m) m+6 c d e f m+6 d^2 e^2\right)+b^3 \left(-\left(-9 c^2 d e f^2 (1-m) m+c^3 f^3 m \left(m^2-3 m+2\right)+18 c d^2 e^2 f m+6 d^3 e^3\right)\right)\right) \, _2F_1\left(2,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{6 m (m+1) (b e-a f)^4 (d e-c f)^3}+\frac{f (a+b x)^{m+1} (c+d x)^{1-m} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-a b d f (c f m (2 m+3)+d e (7 m+12))+b^2 \left(-c^2 f^2 (2-m) m+7 c d e f m+6 d^2 e^2\right)\right)}{6 m (e+f x)^2 (b c-a d) (b e-a f)^2 (d e-c f)^3}-\frac{f (a+b x)^{m+1} (c+d x)^{1-m} (a d f (m+3)-b (c f m+3 d e))}{3 m (e+f x)^3 (b c-a d) (b e-a f) (d e-c f)^2}+\frac{d (a+b x)^{m+1} (c+d x)^{-m}}{m (e+f x)^3 (b c-a d) (d e-c f)}","\frac{(a+b x)^m (c+d x)^{-m} \left(-3 a^2 b d^2 f^2 \left(m^2+3 m+2\right) (c f m+3 d e)+a^3 d^3 f^3 \left(m^3+6 m^2+11 m+6\right)+3 a b^2 d f (m+1) \left(-c^2 f^2 (1-m) m+6 c d e f m+6 d^2 e^2\right)+b^3 \left(-\left(-9 c^2 d e f^2 (1-m) m+c^3 f^3 m \left(m^2-3 m+2\right)+18 c d^2 e^2 f m+6 d^3 e^3\right)\right)\right) \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{6 m (b e-a f)^3 (d e-c f)^4}-\frac{f (a+b x)^{m+1} (c+d x)^{-m} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-a b d f \left(d e (8 m+15)-c f \left(-2 m^2-2 m+3\right)\right)+b^2 \left(c^2 f^2 \left(m^2-3 m+2\right)-c d e f (7-8 m)+11 d^2 e^2\right)\right)}{6 (e+f x) (b e-a f)^3 (d e-c f)^3}-\frac{f (a+b x)^{m+1} (c+d x)^{-m} (b (5 d e-c f (2-m))-a d f (m+3))}{6 (e+f x)^2 (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{-m}}{3 (e+f x)^3 (b e-a f) (d e-c f)}",1,"-(f*(a*d*f*(3 + m) - b*(3*d*e + c*f*m))*(a + b*x)^(1 + m)*(c + d*x)^(1 - m))/(3*(b*c - a*d)*(b*e - a*f)*(d*e - c*f)^2*m*(e + f*x)^3) + (d*(a + b*x)^(1 + m))/((b*c - a*d)*(d*e - c*f)*m*(c + d*x)^m*(e + f*x)^3) + (f*(b^2*(6*d^2*e^2 + 7*c*d*e*f*m - c^2*f^2*(2 - m)*m) + a^2*d^2*f^2*(6 + 5*m + m^2) - a*b*d*f*(c*f*m*(3 + 2*m) + d*e*(12 + 7*m)))*(a + b*x)^(1 + m)*(c + d*x)^(1 - m))/(6*(b*c - a*d)*(b*e - a*f)^2*(d*e - c*f)^3*m*(e + f*x)^2) + ((3*a*b^2*d*f*(1 + m)*(6*d^2*e^2 + 6*c*d*e*f*m - c^2*f^2*(1 - m)*m) - 3*a^2*b*d^2*f^2*(3*d*e + c*f*m)*(2 + 3*m + m^2) + a^3*d^3*f^3*(6 + 11*m + 6*m^2 + m^3) - b^3*(6*d^3*e^3 + 18*c*d^2*e^2*f*m - 9*c^2*d*e*f^2*(1 - m)*m + c^3*f^3*m*(2 - 3*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[2, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(6*(b*e - a*f)^4*(d*e - c*f)^3*m*(1 + m))","A",5,4,26,0.1538,1,"{129, 151, 12, 131}"
3079,1,131,0,0.1010514,"\int (a+b x)^m (c+d x)^{-2-m} (e+f x)^p \, dx","Int[(a + b*x)^m*(c + d*x)^(-2 - m)*(e + f*x)^p,x]","\frac{b (a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m+2,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b c-a d)^2}","\frac{b (a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m+2,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b c-a d)^2}",1,"(b*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*(e + f*x)^p*AppellF1[1 + m, 2 + m, -p, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/((b*c - a*d)^2*(1 + m)*(c + d*x)^m*((b*(e + f*x))/(b*e - a*f))^p)","A",3,3,26,0.1154,1,"{140, 139, 138}"
3080,1,132,0,0.1367747,"\int (5-4 x)^3 (1+2 x)^{-2-m} (2+3 x)^m \, dx","Int[(5 - 4*x)^3*(1 + 2*x)^(-2 - m)*(2 + 3*x)^m,x]","\frac{2^{-m} \left(2 m^2-128 m+1323\right) (2 x+1)^{-m} \, _2F_1(-m,-m;1-m;-3 (2 x+1))}{9 m}-\frac{(3 x+2)^{m+1} \left(4 m^2-8 (43-m) (m+1) x-315 m+2768\right) (2 x+1)^{-m-1}}{9 (m+1)}-\frac{1}{3} (5-4 x)^2 (3 x+2)^{m+1} (2 x+1)^{-m-1}","\frac{2^{-m} \left(2 m^2-128 m+1323\right) (2 x+1)^{-m} \, _2F_1(-m,-m;1-m;-3 (2 x+1))}{9 m}-\frac{(3 x+2)^{m+1} \left(4 m^2-8 (43-m) (m+1) x-315 m+2768\right) (2 x+1)^{-m-1}}{9 (m+1)}-\frac{1}{3} (5-4 x)^2 (3 x+2)^{m+1} (2 x+1)^{-m-1}",1,"-((5 - 4*x)^2*(1 + 2*x)^(-1 - m)*(2 + 3*x)^(1 + m))/3 - ((1 + 2*x)^(-1 - m)*(2 + 3*x)^(1 + m)*(2768 - 315*m + 4*m^2 - 8*(43 - m)*(1 + m)*x))/(9*(1 + m)) + ((1323 - 128*m + 2*m^2)*Hypergeometric2F1[-m, -m, 1 - m, -3*(1 + 2*x)])/(9*2^m*m*(1 + 2*x)^m)","A",3,3,26,0.1154,1,"{100, 143, 69}"
3081,1,202,0,0.1871736,"\int (a+b x)^m (c+d x)^{-2-m} (e+f x)^2 \, dx","Int[(a + b*x)^m*(c + d*x)^(-2 - m)*(e + f*x)^2,x]","-\frac{f (a+b x)^m (c+d x)^{-m} \left(-\frac{d (a+b x)}{b c-a d}\right)^{-m} (a d f m-b c f (m+2)+2 b d e) \, _2F_1\left(-m,-m;1-m;\frac{b (c+d x)}{b c-a d}\right)}{b d^3 m}+\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-1} (a d f (m+1)-b c f (m+2)+b d e)}{b d^2 (m+1) (b c-a d)}+\frac{f (e+f x) (a+b x)^{m+1} (c+d x)^{-m-1}}{b d}","-\frac{f (a+b x)^m (c+d x)^{-m} \left(-\frac{d (a+b x)}{b c-a d}\right)^{-m} (a d f m+b (2 d e-c f (m+2))) \, _2F_1\left(-m,-m;1-m;\frac{b (c+d x)}{b c-a d}\right)}{b d^3 m}+\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-1} (a d f (m+1)+b (d e-c f (m+2)))}{b d^2 (m+1) (b c-a d)}+\frac{f (e+f x) (a+b x)^{m+1} (c+d x)^{-m-1}}{b d}",1,"((d*e - c*f)*(b*d*e + a*d*f*(1 + m) - b*c*f*(2 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(b*d^2*(b*c - a*d)*(1 + m)) + (f*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*(e + f*x))/(b*d) - (f*(2*b*d*e + a*d*f*m - b*c*f*(2 + m))*(a + b*x)^m*Hypergeometric2F1[-m, -m, 1 - m, (b*(c + d*x))/(b*c - a*d)])/(b*d^3*m*(-((d*(a + b*x))/(b*c - a*d)))^m*(c + d*x)^m)","A",4,4,26,0.1538,1,"{90, 79, 70, 69}"
3082,1,124,0,0.0571682,"\int (a+b x)^m (c+d x)^{-2-m} (e+f x) \, dx","Int[(a + b*x)^m*(c + d*x)^(-2 - m)*(e + f*x),x]","\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-1}}{d (m+1) (b c-a d)}-\frac{f (a+b x)^m (c+d x)^{-m} \left(-\frac{d (a+b x)}{b c-a d}\right)^{-m} \, _2F_1\left(-m,-m;1-m;\frac{b (c+d x)}{b c-a d}\right)}{d^2 m}","\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-1}}{d (m+1) (b c-a d)}-\frac{f (a+b x)^m (c+d x)^{-m} \left(-\frac{d (a+b x)}{b c-a d}\right)^{-m} \, _2F_1\left(-m,-m;1-m;\frac{b (c+d x)}{b c-a d}\right)}{d^2 m}",1,"((d*e - c*f)*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d*(b*c - a*d)*(1 + m)) - (f*(a + b*x)^m*Hypergeometric2F1[-m, -m, 1 - m, (b*(c + d*x))/(b*c - a*d)])/(d^2*m*(-((d*(a + b*x))/(b*c - a*d)))^m*(c + d*x)^m)","A",3,3,24,0.1250,1,"{79, 70, 69}"
3083,1,36,0,0.005813,"\int (a+b x)^m (c+d x)^{-2-m} \, dx","Int[(a + b*x)^m*(c + d*x)^(-2 - m),x]","\frac{(a+b x)^{m+1} (c+d x)^{-m-1}}{(m+1) (b c-a d)}","\frac{(a+b x)^{m+1} (c+d x)^{-m-1}}{(m+1) (b c-a d)}",1,"((a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)*(1 + m))","A",1,1,19,0.05263,1,"{37}"
3084,1,135,0,0.0611344,"\int \frac{(a+b x)^m (c+d x)^{-2-m}}{e+f x} \, dx","Int[((a + b*x)^m*(c + d*x)^(-2 - m))/(e + f*x),x]","\frac{d (a+b x)^{m+1} (c+d x)^{-m-1}}{(m+1) (b c-a d) (d e-c f)}-\frac{f (a+b x)^{m+1} (c+d x)^{-m-1} \, _2F_1\left(1,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{(m+1) (b e-a f) (d e-c f)}","\frac{f (a+b x)^m (c+d x)^{-m} \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{m (d e-c f)^2}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-1}}{(m+1) (b c-a d) (d e-c f)}",1,"(d*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)*(d*e - c*f)*(1 + m)) - (f*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[1, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)*(d*e - c*f)*(1 + m))","A",2,2,26,0.07692,1,"{96, 131}"
3085,1,243,0,0.2036629,"\int \frac{(a+b x)^m (c+d x)^{-2-m}}{(e+f x)^2} \, dx","Int[((a + b*x)^m*(c + d*x)^(-2 - m))/(e + f*x)^2,x]","\frac{f (a+b x)^{m+1} (c+d x)^{-m-1} (a d f (m+2)-b (c f m+2 d e)) \, _2F_1\left(1,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{(m+1) (b e-a f)^2 (d e-c f)^2}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-1}}{(m+1) (e+f x) (b c-a d) (d e-c f)}+\frac{f (a+b x)^{m+1} (c+d x)^{-m} (-a d f (m+2)+b c f (m+1)+b d e)}{(m+1) (e+f x) (b c-a d) (b e-a f) (d e-c f)^2}","-\frac{f (a+b x)^m (c+d x)^{-m} (a d f (m+2)-b (c f m+2 d e)) \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{m (b e-a f) (d e-c f)^3}-\frac{d (a+b x)^{m+1} (c+d x)^{-m-1} (a d f (m+2)-b (c f (m+1)+d e))}{(m+1) (b c-a d) (b e-a f) (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{-m-1}}{(e+f x) (b e-a f) (d e-c f)}",1,"(d*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)*(d*e - c*f)*(1 + m)*(e + f*x)) + (f*(b*d*e + b*c*f*(1 + m) - a*d*f*(2 + m))*(a + b*x)^(1 + m))/((b*c - a*d)*(b*e - a*f)*(d*e - c*f)^2*(1 + m)*(c + d*x)^m*(e + f*x)) + (f*(a*d*f*(2 + m) - b*(2*d*e + c*f*m))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[1, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)^2*(d*e - c*f)^2*(1 + m))","A",4,4,26,0.1538,1,"{129, 151, 12, 131}"
3086,1,452,0,0.5654193,"\int \frac{(a+b x)^m (c+d x)^{-2-m}}{(e+f x)^3} \, dx","Int[((a + b*x)^m*(c + d*x)^(-2 - m))/(e + f*x)^3,x]","\frac{f (a+b x)^{m+1} (c+d x)^{-m-1} \left(-a^2 d^2 f^2 \left(m^2+5 m+6\right)+2 a b d f (m+2) (c f m+3 d e)+b^2 \left(-\left(-c^2 f^2 (1-m) m+6 c d e f m+6 d^2 e^2\right)\right)\right) \, _2F_1\left(1,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{2 (m+1) (b e-a f)^3 (d e-c f)^3}+\frac{f (a+b x)^{m+1} (c+d x)^{-m} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-a b d f \left(c f \left(2 m^2+5 m+3\right)+d e (5 m+9)\right)+b^2 \left(-c^2 f^2 \left(1-m^2\right)+5 c d e f (m+1)+2 d^2 e^2\right)\right)}{2 (m+1) (e+f x) (b c-a d) (b e-a f)^2 (d e-c f)^3}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-1}}{(m+1) (e+f x)^2 (b c-a d) (d e-c f)}+\frac{f (a+b x)^{m+1} (c+d x)^{-m} (-a d f (m+3)+b c f (m+1)+2 b d e)}{2 (m+1) (e+f x)^2 (b c-a d) (b e-a f) (d e-c f)^2}","-\frac{f (a+b x)^m (c+d x)^{-m} \left(-a^2 d^2 f^2 \left(m^2+5 m+6\right)+2 a b d f (m+2) (c f m+3 d e)+b^2 \left(-\left(-c^2 f^2 (1-m) m+6 c d e f m+6 d^2 e^2\right)\right)\right) \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{2 m (b e-a f)^2 (d e-c f)^4}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-1} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-a b d f \left(c f \left(2 m^2+5 m+3\right)+d e (5 m+9)\right)+b^2 \left(-c^2 f^2 \left(1-m^2\right)+5 c d e f (m+1)+2 d^2 e^2\right)\right)}{2 (m+1) (b c-a d) (b e-a f)^2 (d e-c f)^3}-\frac{f (a+b x)^{m+1} (c+d x)^{-m-1} (b (4 d e-c f (1-m))-a d f (m+3))}{2 (e+f x) (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{-m-1}}{2 (e+f x)^2 (b e-a f) (d e-c f)}",1,"(d*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)*(d*e - c*f)*(1 + m)*(e + f*x)^2) + (f*(2*b*d*e + b*c*f*(1 + m) - a*d*f*(3 + m))*(a + b*x)^(1 + m))/(2*(b*c - a*d)*(b*e - a*f)*(d*e - c*f)^2*(1 + m)*(c + d*x)^m*(e + f*x)^2) + (f*(a^2*d^2*f^2*(6 + 5*m + m^2) + b^2*(2*d^2*e^2 + 5*c*d*e*f*(1 + m) - c^2*f^2*(1 - m^2)) - a*b*d*f*(d*e*(9 + 5*m) + c*f*(3 + 5*m + 2*m^2)))*(a + b*x)^(1 + m))/(2*(b*c - a*d)*(b*e - a*f)^2*(d*e - c*f)^3*(1 + m)*(c + d*x)^m*(e + f*x)) + (f*(2*a*b*d*f*(2 + m)*(3*d*e + c*f*m) - b^2*(6*d^2*e^2 + 6*c*d*e*f*m - c^2*f^2*(1 - m)*m) - a^2*d^2*f^2*(6 + 5*m + m^2))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[1, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(2*(b*e - a*f)^3*(d*e - c*f)^3*(1 + m))","A",5,4,26,0.1538,1,"{129, 151, 12, 131}"
3087,1,133,0,0.10238,"\int (a+b x)^m (c+d x)^{-3-m} (e+f x)^p \, dx","Int[(a + b*x)^m*(c + d*x)^(-3 - m)*(e + f*x)^p,x]","\frac{b^2 (a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m+3,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b c-a d)^3}","\frac{b^2 (a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m+3,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b c-a d)^3}",1,"(b^2*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*(e + f*x)^p*AppellF1[1 + m, 3 + m, -p, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/((b*c - a*d)^3*(1 + m)*(c + d*x)^m*((b*(e + f*x))/(b*e - a*f))^p)","A",3,3,26,0.1154,1,"{140, 139, 138}"
3088,1,188,0,0.1927706,"\int (5-4 x)^4 (1+2 x)^{-3-m} (2+3 x)^m \, dx","Int[(5 - 4*x)^4*(1 + 2*x)^(-3 - m)*(2 + 3*x)^m,x]","-\frac{2^{2-m} \left(m^2-85 m+1323\right) (2 x+1)^{-m} \, _2F_1(-m,-m;1-m;-3 (2 x+1))}{9 m}+\frac{7 (3 x+2)^{m+1} \left(2 \left(8 m^3-530 m^2+1882 m+15209\right) x+3 \left(-2 m^3+108 m^2+485 m+4638\right)\right) (2 x+1)^{-m-2}}{9 \left(m^2+3 m+2\right)}-\frac{1}{3} (5-4 x)^3 (3 x+2)^{m+1} (2 x+1)^{-m-2}-\frac{1}{9} (107-2 m) (5-4 x)^2 (3 x+2)^{m+1} (2 x+1)^{-m-2}","-\frac{2^{2-m} \left(m^2-85 m+1323\right) (2 x+1)^{-m} \, _2F_1(-m,-m;1-m;-3 (2 x+1))}{9 m}+\frac{7 (3 x+2)^{m+1} \left(2 \left(8 m^3-530 m^2+1882 m+15209\right) x+3 \left(-2 m^3+108 m^2+485 m+4638\right)\right) (2 x+1)^{-m-2}}{9 \left(m^2+3 m+2\right)}-\frac{1}{3} (5-4 x)^3 (3 x+2)^{m+1} (2 x+1)^{-m-2}-\frac{1}{9} (107-2 m) (5-4 x)^2 (3 x+2)^{m+1} (2 x+1)^{-m-2}",1,"-((107 - 2*m)*(5 - 4*x)^2*(1 + 2*x)^(-2 - m)*(2 + 3*x)^(1 + m))/9 - ((5 - 4*x)^3*(1 + 2*x)^(-2 - m)*(2 + 3*x)^(1 + m))/3 + (7*(1 + 2*x)^(-2 - m)*(2 + 3*x)^(1 + m)*(3*(4638 + 485*m + 108*m^2 - 2*m^3) + 2*(15209 + 1882*m - 530*m^2 + 8*m^3)*x))/(9*(2 + 3*m + m^2)) - (2^(2 - m)*(1323 - 85*m + m^2)*Hypergeometric2F1[-m, -m, 1 - m, -3*(1 + 2*x)])/(9*m*(1 + 2*x)^m)","A",4,4,26,0.1538,1,"{100, 153, 145, 69}"
3089,1,139,0,0.1043013,"\int (5-4 x)^3 (1+2 x)^{-3-m} (2+3 x)^m \, dx","Int[(5 - 4*x)^3*(1 + 2*x)^(-3 - m)*(2 + 3*x)^m,x]","-\frac{2^{1-m} (63-2 m) (2 x+1)^{-m} \, _2F_1(-m,-m;1-m;-3 (2 x+1))}{3 m}+\frac{7 (3 x+2)^{m+1} \left(2 \left(-8 m^2+102 m+677\right) x+3 \left(2 m^2-m+186\right)\right) (2 x+1)^{-m-2}}{3 \left(m^2+3 m+2\right)}-\frac{2}{3} (5-4 x)^2 (3 x+2)^{m+1} (2 x+1)^{-m-2}","-\frac{2^{1-m} (63-2 m) (2 x+1)^{-m} \, _2F_1(-m,-m;1-m;-3 (2 x+1))}{3 m}+\frac{7 (3 x+2)^{m+1} \left(2 \left(-8 m^2+102 m+677\right) x+3 \left(2 m^2-m+186\right)\right) (2 x+1)^{-m-2}}{3 \left(m^2+3 m+2\right)}-\frac{2}{3} (5-4 x)^2 (3 x+2)^{m+1} (2 x+1)^{-m-2}",1,"(-2*(5 - 4*x)^2*(1 + 2*x)^(-2 - m)*(2 + 3*x)^(1 + m))/3 + (7*(1 + 2*x)^(-2 - m)*(2 + 3*x)^(1 + m)*(3*(186 - m + 2*m^2) + 2*(677 + 102*m - 8*m^2)*x))/(3*(2 + 3*m + m^2)) - (2^(1 - m)*(63 - 2*m)*Hypergeometric2F1[-m, -m, 1 - m, -3*(1 + 2*x)])/(3*m*(1 + 2*x)^m)","A",3,3,26,0.1154,1,"{100, 145, 69}"
3090,1,202,0,0.1908182,"\int (a+b x)^m (c+d x)^{-3-m} (e+f x)^2 \, dx","Int[(a + b*x)^m*(c + d*x)^(-3 - m)*(e + f*x)^2,x]","\frac{(a+b x)^{m+1} (d e-c f)^2 (c+d x)^{-m-2}}{d^2 (m+2) (b c-a d)}+\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-1} (-2 a d f (m+2)+b c f (2 m+3)+b d e)}{d^2 (m+1) (m+2) (b c-a d)^2}-\frac{f^2 (a+b x)^m (c+d x)^{-m} \left(-\frac{d (a+b x)}{b c-a d}\right)^{-m} \, _2F_1\left(-m,-m;1-m;\frac{b (c+d x)}{b c-a d}\right)}{d^3 m}","\frac{(a+b x)^{m+1} (d e-c f)^2 (c+d x)^{-m-2}}{d^2 (m+2) (b c-a d)}-\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-1} (2 a d f (m+2)-b (c f (2 m+3)+d e))}{d^2 (m+1) (m+2) (b c-a d)^2}-\frac{f^2 (a+b x)^m (c+d x)^{-m} \left(-\frac{d (a+b x)}{b c-a d}\right)^{-m} \, _2F_1\left(-m,-m;1-m;\frac{b (c+d x)}{b c-a d}\right)}{d^3 m}",1,"((d*e - c*f)^2*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/(d^2*(b*c - a*d)*(2 + m)) + ((d*e - c*f)*(b*d*e - 2*a*d*f*(2 + m) + b*c*f*(3 + 2*m))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d^2*(b*c - a*d)^2*(1 + m)*(2 + m)) - (f^2*(a + b*x)^m*Hypergeometric2F1[-m, -m, 1 - m, (b*(c + d*x))/(b*c - a*d)])/(d^3*m*(-((d*(a + b*x))/(b*c - a*d)))^m*(c + d*x)^m)","A",4,4,26,0.1538,1,"{89, 79, 70, 69}"
3091,1,112,0,0.0523963,"\int (a+b x)^m (c+d x)^{-3-m} (e+f x) \, dx","Int[(a + b*x)^m*(c + d*x)^(-3 - m)*(e + f*x),x]","\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-2}}{d (m+2) (b c-a d)}+\frac{(a+b x)^{m+1} (c+d x)^{-m-1} (-a d f (m+2)+b c f (m+1)+b d e)}{d (m+1) (m+2) (b c-a d)^2}","\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-2}}{d (m+2) (b c-a d)}-\frac{(a+b x)^{m+1} (c+d x)^{-m-1} (a d f (m+2)-b (c f (m+1)+d e))}{d (m+1) (m+2) (b c-a d)^2}",1,"((d*e - c*f)*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/(d*(b*c - a*d)*(2 + m)) + ((b*d*e + b*c*f*(1 + m) - a*d*f*(2 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d*(b*c - a*d)^2*(1 + m)*(2 + m))","A",2,2,24,0.08333,1,"{79, 37}"
3092,1,79,0,0.0176636,"\int (a+b x)^m (c+d x)^{-3-m} \, dx","Int[(a + b*x)^m*(c + d*x)^(-3 - m),x]","\frac{(a+b x)^{m+1} (c+d x)^{-m-2}}{(m+2) (b c-a d)}+\frac{b (a+b x)^{m+1} (c+d x)^{-m-1}}{(m+1) (m+2) (b c-a d)^2}","\frac{(a+b x)^{m+1} (c+d x)^{-m-2}}{(m+2) (b c-a d)}+\frac{b (a+b x)^{m+1} (c+d x)^{-m-1}}{(m+1) (m+2) (b c-a d)^2}",1,"((a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/((b*c - a*d)*(2 + m)) + (b*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)^2*(1 + m)*(2 + m))","A",2,2,19,0.1053,1,"{45, 37}"
3093,1,208,0,0.1828438,"\int \frac{(a+b x)^m (c+d x)^{-3-m}}{e+f x} \, dx","Int[((a + b*x)^m*(c + d*x)^(-3 - m))/(e + f*x),x]","\frac{f^2 (a+b x)^{m+1} (c+d x)^{-m-1} \, _2F_1\left(1,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{(m+1) (b e-a f) (d e-c f)^2}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-2}}{(m+2) (b c-a d) (d e-c f)}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-1} (a d f (m+2)-b c f (m+3)+b d e)}{(m+1) (m+2) (b c-a d)^2 (d e-c f)^2}","-\frac{f^2 (a+b x)^m (c+d x)^{-m} \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{m (d e-c f)^3}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-2}}{(m+2) (b c-a d) (d e-c f)}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-1} (a d f (m+2)+b (d e-c f (m+3)))}{(m+1) (m+2) (b c-a d)^2 (d e-c f)^2}",1,"(d*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/((b*c - a*d)*(d*e - c*f)*(2 + m)) + (d*(b*d*e + a*d*f*(2 + m) - b*c*f*(3 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)^2*(d*e - c*f)^2*(1 + m)*(2 + m)) + (f^2*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[1, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)*(d*e - c*f)^2*(1 + m))","A",4,4,26,0.1538,1,"{129, 155, 12, 131}"
3094,1,398,0,0.57697,"\int \frac{(a+b x)^m (c+d x)^{-3-m}}{(e+f x)^2} \, dx","Int[((a + b*x)^m*(c + d*x)^(-3 - m))/(e + f*x)^2,x]","-\frac{d (a+b x)^{m+1} (c+d x)^{-m-1} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-a b d f \left(c f \left(2 m^2+8 m+9\right)+d e (2 m+3)\right)+b^2 \left(-\left(-c^2 f^2 \left(m^2+3 m+2\right)-c d e f (2 m+5)+d^2 e^2\right)\right)\right)}{(m+1) (m+2) (b c-a d)^2 (b e-a f) (d e-c f)^3}-\frac{f^2 (a+b x)^{m+1} (c+d x)^{-m-1} (a d f (m+3)-b (c f m+3 d e)) \, _2F_1\left(1,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{(m+1) (b e-a f)^2 (d e-c f)^3}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-2}}{(m+2) (e+f x) (b c-a d) (d e-c f)}+\frac{f (a+b x)^{m+1} (c+d x)^{-m-1} (-a d f (m+3)+b c f (m+2)+b d e)}{(m+2) (e+f x) (b c-a d) (b e-a f) (d e-c f)^2}","-\frac{d (a+b x)^{m+1} (c+d x)^{-m-1} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-a b d f \left(c f \left(2 m^2+8 m+9\right)+d e (2 m+3)\right)+b^2 \left(-\left(-c^2 f^2 \left(m^2+3 m+2\right)-c d e f (2 m+5)+d^2 e^2\right)\right)\right)}{(m+1) (m+2) (b c-a d)^2 (b e-a f) (d e-c f)^3}+\frac{f^2 (a+b x)^m (c+d x)^{-m} (a d f (m+3)-b (c f m+3 d e)) \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{m (b e-a f) (d e-c f)^4}-\frac{d (a+b x)^{m+1} (c+d x)^{-m-2} (a d f (m+3)-b (c f (m+2)+d e))}{(m+2) (b c-a d) (b e-a f) (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{-m-2}}{(e+f x) (b e-a f) (d e-c f)}",1,"-((d*(a^2*d^2*f^2*(6 + 5*m + m^2) - b^2*(d^2*e^2 - c*d*e*f*(5 + 2*m) - c^2*f^2*(2 + 3*m + m^2)) - a*b*d*f*(d*e*(3 + 2*m) + c*f*(9 + 8*m + 2*m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)^2*(b*e - a*f)*(d*e - c*f)^3*(1 + m)*(2 + m))) + (d*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/((b*c - a*d)*(d*e - c*f)*(2 + m)*(e + f*x)) + (f*(b*d*e + b*c*f*(2 + m) - a*d*f*(3 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)*(b*e - a*f)*(d*e - c*f)^2*(2 + m)*(e + f*x)) - (f^2*(a*d*f*(3 + m) - b*(3*d*e + c*f*m))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[1, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)^2*(d*e - c*f)^3*(1 + m))","A",5,5,26,0.1923,1,"{129, 151, 155, 12, 131}"
3095,1,133,0,0.0991948,"\int (a+b x)^m (c+d x)^{-4-m} (e+f x)^p \, dx","Int[(a + b*x)^m*(c + d*x)^(-4 - m)*(e + f*x)^p,x]","\frac{b^3 (a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m+4,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b c-a d)^4}","\frac{b^3 (a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m+4,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b c-a d)^4}",1,"(b^3*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*(e + f*x)^p*AppellF1[1 + m, 4 + m, -p, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/((b*c - a*d)^4*(1 + m)*(c + d*x)^m*((b*(e + f*x))/(b*e - a*f))^p)","A",3,3,26,0.1154,1,"{140, 139, 138}"
3096,1,333,0,0.3103474,"\int (5-4 x)^4 (1+2 x)^{-4-m} (2+3 x)^m \, dx","Int[(5 - 4*x)^4*(1 + 2*x)^(-4 - m)*(2 + 3*x)^m,x]","\frac{2^{3-m} (42-m) (2 x+1)^{-m} \, _2F_1(-m,-m;1-m;-3 (2 x+1))}{3 m}+\frac{14 (15-2 m) \left(2 m^2+52 m+579\right) (3 x+2)^{m+1} (2 x+1)^{-m-2}}{9 (m+2) (m+3)}-\frac{14 (15-2 m) \left(2 m^2+52 m+579\right) (3 x+2)^{m+1} (2 x+1)^{-m-1}}{3 (m+3) \left(m^2+3 m+2\right)}-\frac{2}{3} (5-4 x)^3 (3 x+2)^{m+1} (2 x+1)^{-m-3}-\frac{49 (15-2 m) (2 m+27) (3 x+2)^{m+1} (2 x+1)^{-m-3}}{9 (m+3)}+\frac{14}{9} (15-2 m) (5-4 x) (3 x+2)^{m+1} (2 x+1)^{-m-3}+\frac{196 (42-m) (3 x+2)^{m+1} (2 x+1)^{-m-2}}{3 (m+2)}-\frac{28 (42-m) (4 m+29) (3 x+2)^{m+1} (2 x+1)^{-m-1}}{3 (m+1) (m+2)}","\frac{2^{3-m} (42-m) (2 x+1)^{-m} \, _2F_1(-m,-m;1-m;-3 (2 x+1))}{3 m}+\frac{14 (15-2 m) \left(2 m^2+52 m+579\right) (3 x+2)^{m+1} (2 x+1)^{-m-2}}{9 (m+2) (m+3)}-\frac{14 (15-2 m) \left(2 m^2+52 m+579\right) (3 x+2)^{m+1} (2 x+1)^{-m-1}}{3 (m+3) \left(m^2+3 m+2\right)}-\frac{2}{3} (5-4 x)^3 (3 x+2)^{m+1} (2 x+1)^{-m-3}-\frac{49 (15-2 m) (2 m+27) (3 x+2)^{m+1} (2 x+1)^{-m-3}}{9 (m+3)}+\frac{14}{9} (15-2 m) (5-4 x) (3 x+2)^{m+1} (2 x+1)^{-m-3}+\frac{196 (42-m) (3 x+2)^{m+1} (2 x+1)^{-m-2}}{3 (m+2)}-\frac{28 (42-m) (4 m+29) (3 x+2)^{m+1} (2 x+1)^{-m-1}}{3 (m+1) (m+2)}",1,"(-49*(15 - 2*m)*(27 + 2*m)*(1 + 2*x)^(-3 - m)*(2 + 3*x)^(1 + m))/(9*(3 + m)) + (14*(15 - 2*m)*(5 - 4*x)*(1 + 2*x)^(-3 - m)*(2 + 3*x)^(1 + m))/9 - (2*(5 - 4*x)^3*(1 + 2*x)^(-3 - m)*(2 + 3*x)^(1 + m))/3 + (196*(42 - m)*(1 + 2*x)^(-2 - m)*(2 + 3*x)^(1 + m))/(3*(2 + m)) + (14*(15 - 2*m)*(579 + 52*m + 2*m^2)*(1 + 2*x)^(-2 - m)*(2 + 3*x)^(1 + m))/(9*(2 + m)*(3 + m)) - (28*(42 - m)*(29 + 4*m)*(1 + 2*x)^(-1 - m)*(2 + 3*x)^(1 + m))/(3*(1 + m)*(2 + m)) - (14*(15 - 2*m)*(579 + 52*m + 2*m^2)*(1 + 2*x)^(-1 - m)*(2 + 3*x)^(1 + m))/(3*(3 + m)*(2 + 3*m + m^2)) + (2^(3 - m)*(42 - m)*Hypergeometric2F1[-m, -m, 1 - m, -3*(1 + 2*x)])/(3*m*(1 + 2*x)^m)","A",9,8,26,0.3077,1,"{100, 159, 89, 79, 69, 90, 45, 37}"
3097,1,406,0,0.2791385,"\int (a+b x)^m (c+d x)^{-4-m} (e+f x)^3 \, dx","Int[(a + b*x)^m*(c + d*x)^(-4 - m)*(e + f*x)^3,x]","\frac{2 b^2 (a+b x)^{m+1} (d e-c f)^3 (c+d x)^{-m-1}}{d^3 (m+1) (m+2) (m+3) (b c-a d)^3}+\frac{3 f^2 (a+b x)^{m+1} (d e-c f) (c+d x)^{-m-1}}{d^3 (m+1) (b c-a d)}+\frac{(a+b x)^{m+1} (d e-c f)^3 (c+d x)^{-m-3}}{d^3 (m+3) (b c-a d)}+\frac{3 f (a+b x)^{m+1} (d e-c f)^2 (c+d x)^{-m-2}}{d^3 (m+2) (b c-a d)}+\frac{2 b (a+b x)^{m+1} (d e-c f)^3 (c+d x)^{-m-2}}{d^3 (m+2) (m+3) (b c-a d)^2}+\frac{3 b f (a+b x)^{m+1} (d e-c f)^2 (c+d x)^{-m-1}}{d^3 (m+1) (m+2) (b c-a d)^2}-\frac{f^3 (a+b x)^m (c+d x)^{-m} \left(-\frac{d (a+b x)}{b c-a d}\right)^{-m} \, _2F_1\left(-m,-m;1-m;\frac{b (c+d x)}{b c-a d}\right)}{d^4 m}","\frac{2 b^2 (a+b x)^{m+1} (d e-c f)^3 (c+d x)^{-m-1}}{d^3 (m+1) (m+2) (m+3) (b c-a d)^3}+\frac{3 f^2 (a+b x)^{m+1} (d e-c f) (c+d x)^{-m-1}}{d^3 (m+1) (b c-a d)}+\frac{(a+b x)^{m+1} (d e-c f)^3 (c+d x)^{-m-3}}{d^3 (m+3) (b c-a d)}+\frac{3 f (a+b x)^{m+1} (d e-c f)^2 (c+d x)^{-m-2}}{d^3 (m+2) (b c-a d)}+\frac{2 b (a+b x)^{m+1} (d e-c f)^3 (c+d x)^{-m-2}}{d^3 (m+2) (m+3) (b c-a d)^2}+\frac{3 b f (a+b x)^{m+1} (d e-c f)^2 (c+d x)^{-m-1}}{d^3 (m+1) (m+2) (b c-a d)^2}-\frac{f^3 (a+b x)^m (c+d x)^{-m} \left(-\frac{d (a+b x)}{b c-a d}\right)^{-m} \, _2F_1\left(-m,-m;1-m;\frac{b (c+d x)}{b c-a d}\right)}{d^4 m}",1,"((d*e - c*f)^3*(a + b*x)^(1 + m)*(c + d*x)^(-3 - m))/(d^3*(b*c - a*d)*(3 + m)) + (3*f*(d*e - c*f)^2*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/(d^3*(b*c - a*d)*(2 + m)) + (2*b*(d*e - c*f)^3*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/(d^3*(b*c - a*d)^2*(2 + m)*(3 + m)) + (3*f^2*(d*e - c*f)*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d^3*(b*c - a*d)*(1 + m)) + (3*b*f*(d*e - c*f)^2*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d^3*(b*c - a*d)^2*(1 + m)*(2 + m)) + (2*b^2*(d*e - c*f)^3*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d^3*(b*c - a*d)^3*(1 + m)*(2 + m)*(3 + m)) - (f^3*(a + b*x)^m*Hypergeometric2F1[-m, -m, 1 - m, (b*(c + d*x))/(b*c - a*d)])/(d^4*m*(-((d*(a + b*x))/(b*c - a*d)))^m*(c + d*x)^m)","A",10,5,26,0.1923,1,"{128, 45, 37, 70, 69}"
3098,1,351,0,0.3361127,"\int (a+b x)^m (c+d x)^{-4-m} (e+f x)^2 \, dx","Int[(a + b*x)^m*(c + d*x)^(-4 - m)*(e + f*x)^2,x]","\frac{(a+b x)^{m+1} (c+d x)^{-m-2} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-2 a b d f (m+3) (c f (m+1)+d e)+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)+2 c d e f (m+1)+2 d^2 e^2\right)\right)}{b d^2 (m+2) (m+3) (b c-a d)^2}+\frac{(a+b x)^{m+1} (c+d x)^{-m-1} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-2 a b d f (m+3) (c f (m+1)+d e)+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)+2 c d e f (m+1)+2 d^2 e^2\right)\right)}{d^2 (m+1) (m+2) (m+3) (b c-a d)^3}+\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-3} (-a d f (m+3)+b c f (m+2)+b d e)}{b d^2 (m+3) (b c-a d)}-\frac{f (e+f x) (a+b x)^{m+1} (c+d x)^{-m-3}}{b d}","\frac{(a+b x)^{m+1} (c+d x)^{-m-2} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-2 a b d f (m+3) (c f (m+1)+d e)+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)+2 c d e f (m+1)+2 d^2 e^2\right)\right)}{b d^2 (m+2) (m+3) (b c-a d)^2}+\frac{(a+b x)^{m+1} (c+d x)^{-m-1} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-2 a b d f (m+3) (c f (m+1)+d e)+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)+2 c d e f (m+1)+2 d^2 e^2\right)\right)}{d^2 (m+1) (m+2) (m+3) (b c-a d)^3}-\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-3} (a d f (m+3)-b (c f (m+2)+d e))}{b d^2 (m+3) (b c-a d)}-\frac{f (e+f x) (a+b x)^{m+1} (c+d x)^{-m-3}}{b d}",1,"((d*e - c*f)*(b*d*e + b*c*f*(2 + m) - a*d*f*(3 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-3 - m))/(b*d^2*(b*c - a*d)*(3 + m)) + ((a^2*d^2*f^2*(6 + 5*m + m^2) - 2*a*b*d*f*(3 + m)*(d*e + c*f*(1 + m)) + b^2*(2*d^2*e^2 + 2*c*d*e*f*(1 + m) + c^2*f^2*(2 + 3*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/(b*d^2*(b*c - a*d)^2*(2 + m)*(3 + m)) + ((a^2*d^2*f^2*(6 + 5*m + m^2) - 2*a*b*d*f*(3 + m)*(d*e + c*f*(1 + m)) + b^2*(2*d^2*e^2 + 2*c*d*e*f*(1 + m) + c^2*f^2*(2 + 3*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d^2*(b*c - a*d)^3*(1 + m)*(2 + m)*(3 + m)) - (f*(a + b*x)^(1 + m)*(c + d*x)^(-3 - m)*(e + f*x))/(b*d)","A",4,4,26,0.1538,1,"{90, 79, 45, 37}"
3099,1,184,0,0.0875537,"\int (a+b x)^m (c+d x)^{-4-m} (e+f x) \, dx","Int[(a + b*x)^m*(c + d*x)^(-4 - m)*(e + f*x),x]","\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-3}}{d (m+3) (b c-a d)}+\frac{(a+b x)^{m+1} (c+d x)^{-m-2} (-a d f (m+3)+b c f (m+1)+2 b d e)}{d (m+2) (m+3) (b c-a d)^2}+\frac{b (a+b x)^{m+1} (c+d x)^{-m-1} (-a d f (m+3)+b c f (m+1)+2 b d e)}{d (m+1) (m+2) (m+3) (b c-a d)^3}","\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-3}}{d (m+3) (b c-a d)}-\frac{(a+b x)^{m+1} (c+d x)^{-m-2} (a d f (m+3)-b (c f (m+1)+2 d e))}{d (m+2) (m+3) (b c-a d)^2}-\frac{b (a+b x)^{m+1} (c+d x)^{-m-1} (a d f (m+3)-b (c f (m+1)+2 d e))}{d (m+1) (m+2) (m+3) (b c-a d)^3}",1,"((d*e - c*f)*(a + b*x)^(1 + m)*(c + d*x)^(-3 - m))/(d*(b*c - a*d)*(3 + m)) + ((2*b*d*e + b*c*f*(1 + m) - a*d*f*(3 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/(d*(b*c - a*d)^2*(2 + m)*(3 + m)) + (b*(2*b*d*e + b*c*f*(1 + m) - a*d*f*(3 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d*(b*c - a*d)^3*(1 + m)*(2 + m)*(3 + m))","A",3,3,24,0.1250,1,"{79, 45, 37}"
3100,1,130,0,0.0335958,"\int (a+b x)^m (c+d x)^{-4-m} \, dx","Int[(a + b*x)^m*(c + d*x)^(-4 - m),x]","\frac{2 b^2 (a+b x)^{m+1} (c+d x)^{-m-1}}{(m+1) (m+2) (m+3) (b c-a d)^3}+\frac{(a+b x)^{m+1} (c+d x)^{-m-3}}{(m+3) (b c-a d)}+\frac{2 b (a+b x)^{m+1} (c+d x)^{-m-2}}{(m+2) (m+3) (b c-a d)^2}","\frac{2 b^2 (a+b x)^{m+1} (c+d x)^{-m-1}}{(m+1) (m+2) (m+3) (b c-a d)^3}+\frac{(a+b x)^{m+1} (c+d x)^{-m-3}}{(m+3) (b c-a d)}+\frac{2 b (a+b x)^{m+1} (c+d x)^{-m-2}}{(m+2) (m+3) (b c-a d)^2}",1,"((a + b*x)^(1 + m)*(c + d*x)^(-3 - m))/((b*c - a*d)*(3 + m)) + (2*b*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/((b*c - a*d)^2*(2 + m)*(3 + m)) + (2*b^2*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)^3*(1 + m)*(2 + m)*(3 + m))","A",3,2,19,0.1053,1,"{45, 37}"
3101,1,344,0,0.4999203,"\int \frac{(a+b x)^m (c+d x)^{-4-m}}{e+f x} \, dx","Int[((a + b*x)^m*(c + d*x)^(-4 - m))/(e + f*x),x]","\frac{d (a+b x)^{m+1} (c+d x)^{-m-1} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)+a b d f (m+3) (d e-c f (2 m+5))+b^2 \left(c^2 f^2 \left(m^2+6 m+11\right)-c d e f (m+7)+2 d^2 e^2\right)\right)}{(m+1) (m+2) (m+3) (b c-a d)^3 (d e-c f)^3}-\frac{f^3 (a+b x)^{m+1} (c+d x)^{-m-1} \, _2F_1\left(1,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{(m+1) (b e-a f) (d e-c f)^3}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-3}}{(m+3) (b c-a d) (d e-c f)}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-2} (a d f (m+3)-b c f (m+5)+2 b d e)}{(m+2) (m+3) (b c-a d)^2 (d e-c f)^2}","\frac{d (a+b x)^{m+1} (c+d x)^{-m-1} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)+a b d f (m+3) (d e-c f (2 m+5))+b^2 \left(c^2 f^2 \left(m^2+6 m+11\right)-c d e f (m+7)+2 d^2 e^2\right)\right)}{(m+1) (m+2) (m+3) (b c-a d)^3 (d e-c f)^3}+\frac{f^3 (a+b x)^m (c+d x)^{-m} \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{m (d e-c f)^4}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-3}}{(m+3) (b c-a d) (d e-c f)}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-2} (a d f (m+3)+b (2 d e-c f (m+5)))}{(m+2) (m+3) (b c-a d)^2 (d e-c f)^2}",1,"(d*(a + b*x)^(1 + m)*(c + d*x)^(-3 - m))/((b*c - a*d)*(d*e - c*f)*(3 + m)) + (d*(2*b*d*e + a*d*f*(3 + m) - b*c*f*(5 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/((b*c - a*d)^2*(d*e - c*f)^2*(2 + m)*(3 + m)) + (d*(a^2*d^2*f^2*(6 + 5*m + m^2) + a*b*d*f*(3 + m)*(d*e - c*f*(5 + 2*m)) + b^2*(2*d^2*e^2 - c*d*e*f*(7 + m) + c^2*f^2*(11 + 6*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)^3*(d*e - c*f)^3*(1 + m)*(2 + m)*(3 + m)) - (f^3*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[1, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)*(d*e - c*f)^3*(1 + m))","A",5,4,26,0.1538,1,"{129, 155, 12, 131}"
3102,1,646,0,1.4136622,"\int \frac{(a+b x)^m (c+d x)^{-4-m}}{(e+f x)^2} \, dx","Int[((a + b*x)^m*(c + d*x)^(-4 - m))/(e + f*x)^2,x]","-\frac{d (a+b x)^{m+1} (c+d x)^{-m-2} \left(a^2 d^2 f^2 \left(m^2+7 m+12\right)-2 a b d f \left(c f \left(m^2+6 m+10\right)+d e (m+2)\right)+b^2 \left(-\left(-c^2 f^2 \left(m^2+5 m+6\right)-2 c d e f (m+4)+2 d^2 e^2\right)\right)\right)}{(m+2) (m+3) (b c-a d)^2 (b e-a f) (d e-c f)^3}-\frac{d (a+b x)^{m+1} (c+d x)^{-m-1} \left(-a^2 b d^2 f^2 (m+3) \left(c f \left(3 m^2+15 m+20\right)+d e (3 m+4)\right)+a^3 d^3 f^3 \left(m^3+9 m^2+26 m+24\right)-a b^2 d f \left(-c^2 f^2 \left(3 m^3+21 m^2+50 m+44\right)-2 c d e f \left(3 m^2+15 m+16\right)+2 d^2 e^2 (m+2)\right)+b^3 \left(-\left(c^2 d e f^2 \left(3 m^2+17 m+26\right)+c^3 f^3 \left(m^3+6 m^2+11 m+6\right)-2 c d^2 e^2 f (m+5)+2 d^3 e^3\right)\right)\right)}{(m+1) (m+2) (m+3) (b c-a d)^3 (b e-a f) (d e-c f)^4}+\frac{f^3 (a+b x)^{m+1} (c+d x)^{-m-1} (a d f (m+4)-b (c f m+4 d e)) \, _2F_1\left(1,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{(m+1) (b e-a f)^2 (d e-c f)^4}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-3}}{(m+3) (e+f x) (b c-a d) (d e-c f)}+\frac{f (a+b x)^{m+1} (c+d x)^{-m-2} (-a d f (m+4)+b c f (m+3)+b d e)}{(m+3) (e+f x) (b c-a d) (b e-a f) (d e-c f)^2}","-\frac{d (a+b x)^{m+1} (c+d x)^{-m-2} \left(a^2 d^2 f^2 \left(m^2+7 m+12\right)-2 a b d f \left(c f \left(m^2+6 m+10\right)+d e (m+2)\right)+b^2 \left(-\left(-c^2 f^2 \left(m^2+5 m+6\right)-2 c d e f (m+4)+2 d^2 e^2\right)\right)\right)}{(m+2) (m+3) (b c-a d)^2 (b e-a f) (d e-c f)^3}-\frac{d (a+b x)^{m+1} (c+d x)^{-m-1} \left(-a^2 b d^2 f^2 (m+3) \left(c f \left(3 m^2+15 m+20\right)+d e (3 m+4)\right)+a^3 d^3 f^3 \left(m^3+9 m^2+26 m+24\right)-a b^2 d f \left(-c^2 f^2 \left(3 m^3+21 m^2+50 m+44\right)-2 c d e f \left(3 m^2+15 m+16\right)+2 d^2 e^2 (m+2)\right)+b^3 \left(-\left(c^2 d e f^2 \left(3 m^2+17 m+26\right)+c^3 f^3 \left(m^3+6 m^2+11 m+6\right)-2 c d^2 e^2 f (m+5)+2 d^3 e^3\right)\right)\right)}{(m+1) (m+2) (m+3) (b c-a d)^3 (b e-a f) (d e-c f)^4}-\frac{f^3 (a+b x)^m (c+d x)^{-m} (a d f (m+4)-b (c f m+4 d e)) \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{m (b e-a f) (d e-c f)^5}-\frac{d (a+b x)^{m+1} (c+d x)^{-m-3} (a d f (m+4)-b (c f (m+3)+d e))}{(m+3) (b c-a d) (b e-a f) (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{-m-3}}{(e+f x) (b e-a f) (d e-c f)}",1,"-((d*(a^2*d^2*f^2*(12 + 7*m + m^2) - b^2*(2*d^2*e^2 - 2*c*d*e*f*(4 + m) - c^2*f^2*(6 + 5*m + m^2)) - 2*a*b*d*f*(d*e*(2 + m) + c*f*(10 + 6*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/((b*c - a*d)^2*(b*e - a*f)*(d*e - c*f)^3*(2 + m)*(3 + m))) - (d*(a^3*d^3*f^3*(24 + 26*m + 9*m^2 + m^3) - a^2*b*d^2*f^2*(3 + m)*(d*e*(4 + 3*m) + c*f*(20 + 15*m + 3*m^2)) - b^3*(2*d^3*e^3 - 2*c*d^2*e^2*f*(5 + m) + c^2*d*e*f^2*(26 + 17*m + 3*m^2) + c^3*f^3*(6 + 11*m + 6*m^2 + m^3)) - a*b^2*d*f*(2*d^2*e^2*(2 + m) - 2*c*d*e*f*(16 + 15*m + 3*m^2) - c^2*f^2*(44 + 50*m + 21*m^2 + 3*m^3)))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)^3*(b*e - a*f)*(d*e - c*f)^4*(1 + m)*(2 + m)*(3 + m)) + (d*(a + b*x)^(1 + m)*(c + d*x)^(-3 - m))/((b*c - a*d)*(d*e - c*f)*(3 + m)*(e + f*x)) + (f*(b*d*e + b*c*f*(3 + m) - a*d*f*(4 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/((b*c - a*d)*(b*e - a*f)*(d*e - c*f)^2*(3 + m)*(e + f*x)) + (f^3*(a*d*f*(4 + m) - b*(4*d*e + c*f*m))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[1, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)^2*(d*e - c*f)^4*(1 + m))","A",6,5,26,0.1923,1,"{129, 151, 155, 12, 131}"
3103,1,133,0,0.1138395,"\int (a+b x)^m (c+d x)^{-5-m} (e+f x)^p \, dx","Int[(a + b*x)^m*(c + d*x)^(-5 - m)*(e + f*x)^p,x]","\frac{b^4 (a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m+5,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b c-a d)^5}","\frac{b^4 (a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m+5,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b c-a d)^5}",1,"(b^4*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*(e + f*x)^p*AppellF1[1 + m, 5 + m, -p, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/((b*c - a*d)^5*(1 + m)*(c + d*x)^m*((b*(e + f*x))/(b*e - a*f))^p)","A",3,3,26,0.1154,1,"{140, 139, 138}"
3104,1,546,0,0.4468317,"\int (5-4 x)^5 (1+2 x)^{-5-m} (2+3 x)^m \, dx","Int[(5 - 4*x)^5*(1 + 2*x)^(-5 - m)*(2 + 3*x)^m,x]","-\frac{2^{3-m} (105-2 m) (2 x+1)^{-m-3} \, _2F_1(-m-3,-m-3;-m-2;-3 (2 x+1))}{81 (m+3)}-\frac{322 (13-2 m) \left(2 m^2+52 m+579\right) (3 x+2)^{m+1} (2 x+1)^{-m-2}}{3 (m+2) (m+3) (m+4)}-\frac{48668 (105-2 m) (3 x+2)^{m+1} (2 x+1)^{-m-2}}{27 \left(m^2+5 m+6\right)}+\frac{4232 (105-2 m) (3 x+2)^{m+2} (2 x+1)^{-m-2}}{9 \left(m^2+5 m+6\right)}+\frac{322 (13-2 m) \left(2 m^2+52 m+579\right) (3 x+2)^{m+1} (2 x+1)^{-m-1}}{(m+3) (m+4) \left(m^2+3 m+2\right)}+\frac{48668 (105-2 m) (3 x+2)^{m+1} (2 x+1)^{-m-1}}{9 \left(m^3+6 m^2+11 m+6\right)}-\frac{2}{3} (5-4 x)^4 (3 x+2)^{m+1} (2 x+1)^{-m-4}-\frac{7 (13-2 m) (5-4 x)^3 (3 x+2)^{m+1} (2 x+1)^{-m-4}}{3 (m+4)}+\frac{1127 (13-2 m) (2 m+27) (3 x+2)^{m+1} (2 x+1)^{-m-3}}{3 (m+3) (m+4)}-\frac{322 (13-2 m) (5-4 x) (3 x+2)^{m+1} (2 x+1)^{-m-3}}{3 (m+4)}+\frac{24334 (105-2 m) (3 x+2)^{m+1} (2 x+1)^{-m-3}}{81 (m+3)}-\frac{4232 (105-2 m) (3 x+2)^{m+2} (2 x+1)^{-m-3}}{27 (m+3)}+\frac{736 (105-2 m) (3 x+2)^{m+3} (2 x+1)^{-m-3}}{27 (m+3)}","-\frac{2^{3-m} (105-2 m) (2 x+1)^{-m-3} \, _2F_1(-m-3,-m-3;-m-2;-3 (2 x+1))}{81 (m+3)}-\frac{322 (13-2 m) \left(2 m^2+52 m+579\right) (3 x+2)^{m+1} (2 x+1)^{-m-2}}{3 (m+2) (m+3) (m+4)}-\frac{48668 (105-2 m) (3 x+2)^{m+1} (2 x+1)^{-m-2}}{27 \left(m^2+5 m+6\right)}+\frac{4232 (105-2 m) (3 x+2)^{m+2} (2 x+1)^{-m-2}}{9 \left(m^2+5 m+6\right)}+\frac{322 (13-2 m) \left(2 m^2+52 m+579\right) (3 x+2)^{m+1} (2 x+1)^{-m-1}}{(m+3) (m+4) \left(m^2+3 m+2\right)}+\frac{48668 (105-2 m) (3 x+2)^{m+1} (2 x+1)^{-m-1}}{9 \left(m^3+6 m^2+11 m+6\right)}-\frac{2}{3} (5-4 x)^4 (3 x+2)^{m+1} (2 x+1)^{-m-4}-\frac{7 (13-2 m) (5-4 x)^3 (3 x+2)^{m+1} (2 x+1)^{-m-4}}{3 (m+4)}+\frac{1127 (13-2 m) (2 m+27) (3 x+2)^{m+1} (2 x+1)^{-m-3}}{3 (m+3) (m+4)}-\frac{322 (13-2 m) (5-4 x) (3 x+2)^{m+1} (2 x+1)^{-m-3}}{3 (m+4)}+\frac{24334 (105-2 m) (3 x+2)^{m+1} (2 x+1)^{-m-3}}{81 (m+3)}-\frac{4232 (105-2 m) (3 x+2)^{m+2} (2 x+1)^{-m-3}}{27 (m+3)}+\frac{736 (105-2 m) (3 x+2)^{m+3} (2 x+1)^{-m-3}}{27 (m+3)}",1,"(-7*(13 - 2*m)*(5 - 4*x)^3*(1 + 2*x)^(-4 - m)*(2 + 3*x)^(1 + m))/(3*(4 + m)) - (2*(5 - 4*x)^4*(1 + 2*x)^(-4 - m)*(2 + 3*x)^(1 + m))/3 + (24334*(105 - 2*m)*(1 + 2*x)^(-3 - m)*(2 + 3*x)^(1 + m))/(81*(3 + m)) + (1127*(13 - 2*m)*(27 + 2*m)*(1 + 2*x)^(-3 - m)*(2 + 3*x)^(1 + m))/(3*(3 + m)*(4 + m)) - (322*(13 - 2*m)*(5 - 4*x)*(1 + 2*x)^(-3 - m)*(2 + 3*x)^(1 + m))/(3*(4 + m)) - (48668*(105 - 2*m)*(1 + 2*x)^(-2 - m)*(2 + 3*x)^(1 + m))/(27*(6 + 5*m + m^2)) - (322*(13 - 2*m)*(579 + 52*m + 2*m^2)*(1 + 2*x)^(-2 - m)*(2 + 3*x)^(1 + m))/(3*(2 + m)*(3 + m)*(4 + m)) + (322*(13 - 2*m)*(579 + 52*m + 2*m^2)*(1 + 2*x)^(-1 - m)*(2 + 3*x)^(1 + m))/((3 + m)*(4 + m)*(2 + 3*m + m^2)) + (48668*(105 - 2*m)*(1 + 2*x)^(-1 - m)*(2 + 3*x)^(1 + m))/(9*(6 + 11*m + 6*m^2 + m^3)) - (4232*(105 - 2*m)*(1 + 2*x)^(-3 - m)*(2 + 3*x)^(2 + m))/(27*(3 + m)) + (4232*(105 - 2*m)*(1 + 2*x)^(-2 - m)*(2 + 3*x)^(2 + m))/(9*(6 + 5*m + m^2)) + (736*(105 - 2*m)*(1 + 2*x)^(-3 - m)*(2 + 3*x)^(3 + m))/(27*(3 + m)) - (2^(3 - m)*(105 - 2*m)*(1 + 2*x)^(-3 - m)*Hypergeometric2F1[-3 - m, -3 - m, -2 - m, -3*(1 + 2*x)])/(81*(3 + m))","A",16,9,26,0.3462,1,"{100, 159, 128, 45, 37, 69, 94, 90, 79}"
3105,1,650,0,0.4994407,"\int (a+b x)^m (c+d x)^{-5-m} (e+f x)^4 \, dx","Int[(a + b*x)^m*(c + d*x)^(-5 - m)*(e + f*x)^4,x]","\frac{6 b^2 (a+b x)^{m+1} (d e-c f)^4 (c+d x)^{-m-2}}{d^4 (m+2) (m+3) (m+4) (b c-a d)^3}+\frac{8 b^2 f (a+b x)^{m+1} (d e-c f)^3 (c+d x)^{-m-1}}{d^4 (m+1) (m+2) (m+3) (b c-a d)^3}+\frac{6 b^3 (a+b x)^{m+1} (d e-c f)^4 (c+d x)^{-m-1}}{d^4 (m+1) (m+2) (m+3) (m+4) (b c-a d)^4}+\frac{6 f^2 (a+b x)^{m+1} (d e-c f)^2 (c+d x)^{-m-2}}{d^4 (m+2) (b c-a d)}+\frac{4 f^3 (a+b x)^{m+1} (d e-c f) (c+d x)^{-m-1}}{d^4 (m+1) (b c-a d)}+\frac{6 b f^2 (a+b x)^{m+1} (d e-c f)^2 (c+d x)^{-m-1}}{d^4 (m+1) (m+2) (b c-a d)^2}+\frac{(a+b x)^{m+1} (d e-c f)^4 (c+d x)^{-m-4}}{d^4 (m+4) (b c-a d)}+\frac{4 f (a+b x)^{m+1} (d e-c f)^3 (c+d x)^{-m-3}}{d^4 (m+3) (b c-a d)}+\frac{3 b (a+b x)^{m+1} (d e-c f)^4 (c+d x)^{-m-3}}{d^4 (m+3) (m+4) (b c-a d)^2}+\frac{8 b f (a+b x)^{m+1} (d e-c f)^3 (c+d x)^{-m-2}}{d^4 (m+2) (m+3) (b c-a d)^2}-\frac{f^4 (a+b x)^m (c+d x)^{-m} \left(-\frac{d (a+b x)}{b c-a d}\right)^{-m} \, _2F_1\left(-m,-m;1-m;\frac{b (c+d x)}{b c-a d}\right)}{d^5 m}","\frac{6 b^2 (a+b x)^{m+1} (d e-c f)^4 (c+d x)^{-m-2}}{d^4 (m+2) (m+3) (m+4) (b c-a d)^3}+\frac{8 b^2 f (a+b x)^{m+1} (d e-c f)^3 (c+d x)^{-m-1}}{d^4 (m+1) (m+2) (m+3) (b c-a d)^3}+\frac{6 b^3 (a+b x)^{m+1} (d e-c f)^4 (c+d x)^{-m-1}}{d^4 (m+1) (m+2) (m+3) (m+4) (b c-a d)^4}+\frac{6 f^2 (a+b x)^{m+1} (d e-c f)^2 (c+d x)^{-m-2}}{d^4 (m+2) (b c-a d)}+\frac{4 f^3 (a+b x)^{m+1} (d e-c f) (c+d x)^{-m-1}}{d^4 (m+1) (b c-a d)}+\frac{6 b f^2 (a+b x)^{m+1} (d e-c f)^2 (c+d x)^{-m-1}}{d^4 (m+1) (m+2) (b c-a d)^2}+\frac{(a+b x)^{m+1} (d e-c f)^4 (c+d x)^{-m-4}}{d^4 (m+4) (b c-a d)}+\frac{4 f (a+b x)^{m+1} (d e-c f)^3 (c+d x)^{-m-3}}{d^4 (m+3) (b c-a d)}+\frac{3 b (a+b x)^{m+1} (d e-c f)^4 (c+d x)^{-m-3}}{d^4 (m+3) (m+4) (b c-a d)^2}+\frac{8 b f (a+b x)^{m+1} (d e-c f)^3 (c+d x)^{-m-2}}{d^4 (m+2) (m+3) (b c-a d)^2}-\frac{f^4 (a+b x)^m (c+d x)^{-m} \left(-\frac{d (a+b x)}{b c-a d}\right)^{-m} \, _2F_1\left(-m,-m;1-m;\frac{b (c+d x)}{b c-a d}\right)}{d^5 m}",1,"((d*e - c*f)^4*(a + b*x)^(1 + m)*(c + d*x)^(-4 - m))/(d^4*(b*c - a*d)*(4 + m)) + (4*f*(d*e - c*f)^3*(a + b*x)^(1 + m)*(c + d*x)^(-3 - m))/(d^4*(b*c - a*d)*(3 + m)) + (3*b*(d*e - c*f)^4*(a + b*x)^(1 + m)*(c + d*x)^(-3 - m))/(d^4*(b*c - a*d)^2*(3 + m)*(4 + m)) + (6*f^2*(d*e - c*f)^2*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/(d^4*(b*c - a*d)*(2 + m)) + (8*b*f*(d*e - c*f)^3*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/(d^4*(b*c - a*d)^2*(2 + m)*(3 + m)) + (6*b^2*(d*e - c*f)^4*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/(d^4*(b*c - a*d)^3*(2 + m)*(3 + m)*(4 + m)) + (4*f^3*(d*e - c*f)*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d^4*(b*c - a*d)*(1 + m)) + (6*b*f^2*(d*e - c*f)^2*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d^4*(b*c - a*d)^2*(1 + m)*(2 + m)) + (8*b^2*f*(d*e - c*f)^3*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d^4*(b*c - a*d)^3*(1 + m)*(2 + m)*(3 + m)) + (6*b^3*(d*e - c*f)^4*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d^4*(b*c - a*d)^4*(1 + m)*(2 + m)*(3 + m)*(4 + m)) - (f^4*(a + b*x)^m*Hypergeometric2F1[-m, -m, 1 - m, (b*(c + d*x))/(b*c - a*d)])/(d^5*m*(-((d*(a + b*x))/(b*c - a*d)))^m*(c + d*x)^m)","A",14,5,26,0.1923,1,"{128, 45, 37, 70, 69}"
3106,1,459,0,0.4621021,"\int (a+b x)^m (c+d x)^{-5-m} (e+f x)^3 \, dx","Int[(a + b*x)^m*(c + d*x)^(-5 - m)*(e + f*x)^3,x]","\frac{3 (b e-a f) (a+b x)^{m+1} (c+d x)^{-m-2} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-2 a b d f (m+3) (c f (m+1)+d e)+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)+2 c d e f (m+1)+2 d^2 e^2\right)\right)}{b d^2 (m+2) (m+3) (m+4) (b c-a d)^3}+\frac{3 (b e-a f) (a+b x)^{m+1} (c+d x)^{-m-1} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-2 a b d f (m+3) (c f (m+1)+d e)+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)+2 c d e f (m+1)+2 d^2 e^2\right)\right)}{d^2 (m+1) (m+2) (m+3) (m+4) (b c-a d)^4}+\frac{3 (b e-a f) (a+b x)^{m+1} (d e-c f) (c+d x)^{-m-3} (-a d f (m+3)+b c f (m+2)+b d e)}{b d^2 (m+3) (m+4) (b c-a d)^2}+\frac{(e+f x)^3 (a+b x)^{m+1} (c+d x)^{-m-4}}{(m+4) (b c-a d)}-\frac{3 f (e+f x) (b e-a f) (a+b x)^{m+1} (c+d x)^{-m-3}}{b d (m+4) (b c-a d)}","\frac{3 (b e-a f) (a+b x)^{m+1} (c+d x)^{-m-2} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-2 a b d f (m+3) (c f (m+1)+d e)+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)+2 c d e f (m+1)+2 d^2 e^2\right)\right)}{b d^2 (m+2) (m+3) (m+4) (b c-a d)^3}+\frac{3 (b e-a f) (a+b x)^{m+1} (c+d x)^{-m-1} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-2 a b d f (m+3) (c f (m+1)+d e)+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)+2 c d e f (m+1)+2 d^2 e^2\right)\right)}{d^2 (m+1) (m+2) (m+3) (m+4) (b c-a d)^4}-\frac{3 (b e-a f) (a+b x)^{m+1} (d e-c f) (c+d x)^{-m-3} (a d f (m+3)-b (c f (m+2)+d e))}{b d^2 (m+3) (m+4) (b c-a d)^2}+\frac{(e+f x)^3 (a+b x)^{m+1} (c+d x)^{-m-4}}{(m+4) (b c-a d)}-\frac{3 f (e+f x) (b e-a f) (a+b x)^{m+1} (c+d x)^{-m-3}}{b d (m+4) (b c-a d)}",1,"(3*(b*e - a*f)*(d*e - c*f)*(b*d*e + b*c*f*(2 + m) - a*d*f*(3 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-3 - m))/(b*d^2*(b*c - a*d)^2*(3 + m)*(4 + m)) + (3*(b*e - a*f)*(a^2*d^2*f^2*(6 + 5*m + m^2) - 2*a*b*d*f*(3 + m)*(d*e + c*f*(1 + m)) + b^2*(2*d^2*e^2 + 2*c*d*e*f*(1 + m) + c^2*f^2*(2 + 3*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/(b*d^2*(b*c - a*d)^3*(2 + m)*(3 + m)*(4 + m)) + (3*(b*e - a*f)*(a^2*d^2*f^2*(6 + 5*m + m^2) - 2*a*b*d*f*(3 + m)*(d*e + c*f*(1 + m)) + b^2*(2*d^2*e^2 + 2*c*d*e*f*(1 + m) + c^2*f^2*(2 + 3*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d^2*(b*c - a*d)^4*(1 + m)*(2 + m)*(3 + m)*(4 + m)) - (3*f*(b*e - a*f)*(a + b*x)^(1 + m)*(c + d*x)^(-3 - m)*(e + f*x))/(b*d*(b*c - a*d)*(4 + m)) + ((a + b*x)^(1 + m)*(c + d*x)^(-4 - m)*(e + f*x)^3)/((b*c - a*d)*(4 + m))","A",5,5,26,0.1923,1,"{94, 90, 79, 45, 37}"
3107,1,493,0,0.538283,"\int (a+b x)^m (c+d x)^{-5-m} (e+f x)^2 \, dx","Int[(a + b*x)^m*(c + d*x)^(-5 - m)*(e + f*x)^2,x]","\frac{(a+b x)^{m+1} (c+d x)^{-m-3} \left(a^2 d^2 f^2 \left(m^2+7 m+12\right)-2 a b d f (m+4) (c f (m+1)+2 d e)+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)+4 c d e f (m+1)+6 d^2 e^2\right)\right)}{2 b d^2 (m+3) (m+4) (b c-a d)^2}+\frac{(a+b x)^{m+1} (c+d x)^{-m-2} \left(a^2 d^2 f^2 \left(m^2+7 m+12\right)-2 a b d f (m+4) (c f (m+1)+2 d e)+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)+4 c d e f (m+1)+6 d^2 e^2\right)\right)}{d^2 (m+2) (m+3) (m+4) (b c-a d)^3}+\frac{b (a+b x)^{m+1} (c+d x)^{-m-1} \left(a^2 d^2 f^2 \left(m^2+7 m+12\right)-2 a b d f (m+4) (c f (m+1)+2 d e)+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)+4 c d e f (m+1)+6 d^2 e^2\right)\right)}{d^2 (m+1) (m+2) (m+3) (m+4) (b c-a d)^4}+\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-4} (-a d f (m+4)+b c f (m+2)+2 b d e)}{2 b d^2 (m+4) (b c-a d)}-\frac{f (e+f x) (a+b x)^{m+1} (c+d x)^{-m-4}}{2 b d}","\frac{(a+b x)^{m+1} (c+d x)^{-m-3} \left(a^2 d^2 f^2 \left(m^2+7 m+12\right)-2 a b d f (m+4) (c f (m+1)+2 d e)+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)+4 c d e f (m+1)+6 d^2 e^2\right)\right)}{2 b d^2 (m+3) (m+4) (b c-a d)^2}+\frac{(a+b x)^{m+1} (c+d x)^{-m-2} \left(a^2 d^2 f^2 \left(m^2+7 m+12\right)-2 a b d f (m+4) (c f (m+1)+2 d e)+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)+4 c d e f (m+1)+6 d^2 e^2\right)\right)}{d^2 (m+2) (m+3) (m+4) (b c-a d)^3}+\frac{b (a+b x)^{m+1} (c+d x)^{-m-1} \left(a^2 d^2 f^2 \left(m^2+7 m+12\right)-2 a b d f (m+4) (c f (m+1)+2 d e)+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)+4 c d e f (m+1)+6 d^2 e^2\right)\right)}{d^2 (m+1) (m+2) (m+3) (m+4) (b c-a d)^4}-\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-4} (a d f (m+4)-b (c f (m+2)+2 d e))}{2 b d^2 (m+4) (b c-a d)}-\frac{f (e+f x) (a+b x)^{m+1} (c+d x)^{-m-4}}{2 b d}",1,"((d*e - c*f)*(2*b*d*e + b*c*f*(2 + m) - a*d*f*(4 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-4 - m))/(2*b*d^2*(b*c - a*d)*(4 + m)) + ((a^2*d^2*f^2*(12 + 7*m + m^2) - 2*a*b*d*f*(4 + m)*(2*d*e + c*f*(1 + m)) + b^2*(6*d^2*e^2 + 4*c*d*e*f*(1 + m) + c^2*f^2*(2 + 3*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-3 - m))/(2*b*d^2*(b*c - a*d)^2*(3 + m)*(4 + m)) + ((a^2*d^2*f^2*(12 + 7*m + m^2) - 2*a*b*d*f*(4 + m)*(2*d*e + c*f*(1 + m)) + b^2*(6*d^2*e^2 + 4*c*d*e*f*(1 + m) + c^2*f^2*(2 + 3*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/(d^2*(b*c - a*d)^3*(2 + m)*(3 + m)*(4 + m)) + (b*(a^2*d^2*f^2*(12 + 7*m + m^2) - 2*a*b*d*f*(4 + m)*(2*d*e + c*f*(1 + m)) + b^2*(6*d^2*e^2 + 4*c*d*e*f*(1 + m) + c^2*f^2*(2 + 3*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d^2*(b*c - a*d)^4*(1 + m)*(2 + m)*(3 + m)*(4 + m)) - (f*(a + b*x)^(1 + m)*(c + d*x)^(-4 - m)*(e + f*x))/(2*b*d)","A",5,4,26,0.1538,1,"{90, 79, 45, 37}"
3108,1,264,0,0.1504591,"\int (a+b x)^m (c+d x)^{-5-m} (e+f x) \, dx","Int[(a + b*x)^m*(c + d*x)^(-5 - m)*(e + f*x),x]","\frac{2 b^2 (a+b x)^{m+1} (c+d x)^{-m-1} (-a d f (m+4)+b c f (m+1)+3 b d e)}{d (m+1) (m+2) (m+3) (m+4) (b c-a d)^4}+\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-4}}{d (m+4) (b c-a d)}+\frac{(a+b x)^{m+1} (c+d x)^{-m-3} (-a d f (m+4)+b c f (m+1)+3 b d e)}{d (m+3) (m+4) (b c-a d)^2}+\frac{2 b (a+b x)^{m+1} (c+d x)^{-m-2} (-a d f (m+4)+b c f (m+1)+3 b d e)}{d (m+2) (m+3) (m+4) (b c-a d)^3}","-\frac{2 b^2 (a+b x)^{m+1} (c+d x)^{-m-1} (a d f (m+4)-b (c f (m+1)+3 d e))}{d (m+1) (m+2) (m+3) (m+4) (b c-a d)^4}+\frac{(a+b x)^{m+1} (d e-c f) (c+d x)^{-m-4}}{d (m+4) (b c-a d)}-\frac{(a+b x)^{m+1} (c+d x)^{-m-3} (a d f (m+4)-b (c f (m+1)+3 d e))}{d (m+3) (m+4) (b c-a d)^2}-\frac{2 b (a+b x)^{m+1} (c+d x)^{-m-2} (a d f (m+4)-b (c f (m+1)+3 d e))}{d (m+2) (m+3) (m+4) (b c-a d)^3}",1,"((d*e - c*f)*(a + b*x)^(1 + m)*(c + d*x)^(-4 - m))/(d*(b*c - a*d)*(4 + m)) + ((3*b*d*e + b*c*f*(1 + m) - a*d*f*(4 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-3 - m))/(d*(b*c - a*d)^2*(3 + m)*(4 + m)) + (2*b*(3*b*d*e + b*c*f*(1 + m) - a*d*f*(4 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/(d*(b*c - a*d)^3*(2 + m)*(3 + m)*(4 + m)) + (2*b^2*(3*b*d*e + b*c*f*(1 + m) - a*d*f*(4 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/(d*(b*c - a*d)^4*(1 + m)*(2 + m)*(3 + m)*(4 + m))","A",4,3,24,0.1250,1,"{79, 45, 37}"
3109,1,185,0,0.0586535,"\int (a+b x)^m (c+d x)^{-5-m} \, dx","Int[(a + b*x)^m*(c + d*x)^(-5 - m),x]","\frac{6 b^2 (a+b x)^{m+1} (c+d x)^{-m-2}}{(m+2) (m+3) (m+4) (b c-a d)^3}+\frac{6 b^3 (a+b x)^{m+1} (c+d x)^{-m-1}}{(m+1) (m+2) (m+3) (m+4) (b c-a d)^4}+\frac{(a+b x)^{m+1} (c+d x)^{-m-4}}{(m+4) (b c-a d)}+\frac{3 b (a+b x)^{m+1} (c+d x)^{-m-3}}{(m+3) (m+4) (b c-a d)^2}","\frac{6 b^2 (a+b x)^{m+1} (c+d x)^{-m-2}}{(m+2) (m+3) (m+4) (b c-a d)^3}+\frac{6 b^3 (a+b x)^{m+1} (c+d x)^{-m-1}}{(m+1) (m+2) (m+3) (m+4) (b c-a d)^4}+\frac{(a+b x)^{m+1} (c+d x)^{-m-4}}{(m+4) (b c-a d)}+\frac{3 b (a+b x)^{m+1} (c+d x)^{-m-3}}{(m+3) (m+4) (b c-a d)^2}",1,"((a + b*x)^(1 + m)*(c + d*x)^(-4 - m))/((b*c - a*d)*(4 + m)) + (3*b*(a + b*x)^(1 + m)*(c + d*x)^(-3 - m))/((b*c - a*d)^2*(3 + m)*(4 + m)) + (6*b^2*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/((b*c - a*d)^3*(2 + m)*(3 + m)*(4 + m)) + (6*b^3*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)^4*(1 + m)*(2 + m)*(3 + m)*(4 + m))","A",4,2,19,0.1053,1,"{45, 37}"
3110,1,569,0,1.2073463,"\int \frac{(a+b x)^m (c+d x)^{-5-m}}{e+f x} \, dx","Int[((a + b*x)^m*(c + d*x)^(-5 - m))/(e + f*x),x]","\frac{d (a+b x)^{m+1} (c+d x)^{-m-2} \left(a^2 d^2 f^2 \left(m^2+7 m+12\right)+2 a b d f (m+4) (d e-c f (m+4))+b^2 \left(c^2 f^2 \left(m^2+9 m+26\right)-2 c d e f (m+10)+6 d^2 e^2\right)\right)}{(m+2) (m+3) (m+4) (b c-a d)^3 (d e-c f)^3}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-1} \left(a^2 b d^2 f^2 \left(m^2+7 m+12\right) (d e-c f (3 m+7))+a^3 d^3 f^3 \left(m^3+9 m^2+26 m+24\right)+a b^2 d f (m+4) \left(c^2 f^2 \left(3 m^2+17 m+26\right)-2 c d e f (m+5)+2 d^2 e^2\right)+b^3 \left(c^2 d e f^2 \left(m^2+11 m+46\right)-c^3 f^3 \left(m^3+10 m^2+35 m+50\right)-2 c d^2 e^2 f (m+13)+6 d^3 e^3\right)\right)}{(m+1) (m+2) (m+3) (m+4) (b c-a d)^4 (d e-c f)^4}+\frac{f^4 (a+b x)^{m+1} (c+d x)^{-m-1} \, _2F_1\left(1,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{(m+1) (b e-a f) (d e-c f)^4}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-4}}{(m+4) (b c-a d) (d e-c f)}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-3} (a d f (m+4)-b c f (m+7)+3 b d e)}{(m+3) (m+4) (b c-a d)^2 (d e-c f)^2}","\frac{d (a+b x)^{m+1} (c+d x)^{-m-2} \left(a^2 d^2 f^2 \left(m^2+7 m+12\right)+2 a b d f (m+4) (d e-c f (m+4))+b^2 \left(c^2 f^2 \left(m^2+9 m+26\right)-2 c d e f (m+10)+6 d^2 e^2\right)\right)}{(m+2) (m+3) (m+4) (b c-a d)^3 (d e-c f)^3}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-1} \left(a^2 b d^2 f^2 \left(m^2+7 m+12\right) (d e-c f (3 m+7))+a^3 d^3 f^3 \left(m^3+9 m^2+26 m+24\right)+a b^2 d f (m+4) \left(c^2 f^2 \left(3 m^2+17 m+26\right)-2 c d e f (m+5)+2 d^2 e^2\right)+b^3 \left(c^2 d e f^2 \left(m^2+11 m+46\right)-c^3 f^3 \left(m^3+10 m^2+35 m+50\right)-2 c d^2 e^2 f (m+13)+6 d^3 e^3\right)\right)}{(m+1) (m+2) (m+3) (m+4) (b c-a d)^4 (d e-c f)^4}-\frac{f^4 (a+b x)^m (c+d x)^{-m} \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{m (d e-c f)^5}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-4}}{(m+4) (b c-a d) (d e-c f)}+\frac{d (a+b x)^{m+1} (c+d x)^{-m-3} (a d f (m+4)+b (3 d e-c f (m+7)))}{(m+3) (m+4) (b c-a d)^2 (d e-c f)^2}",1,"(d*(a + b*x)^(1 + m)*(c + d*x)^(-4 - m))/((b*c - a*d)*(d*e - c*f)*(4 + m)) + (d*(3*b*d*e + a*d*f*(4 + m) - b*c*f*(7 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-3 - m))/((b*c - a*d)^2*(d*e - c*f)^2*(3 + m)*(4 + m)) + (d*(a^2*d^2*f^2*(12 + 7*m + m^2) + 2*a*b*d*f*(4 + m)*(d*e - c*f*(4 + m)) + b^2*(6*d^2*e^2 - 2*c*d*e*f*(10 + m) + c^2*f^2*(26 + 9*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-2 - m))/((b*c - a*d)^3*(d*e - c*f)^3*(2 + m)*(3 + m)*(4 + m)) + (d*(a^3*d^3*f^3*(24 + 26*m + 9*m^2 + m^3) + a^2*b*d^2*f^2*(12 + 7*m + m^2)*(d*e - c*f*(7 + 3*m)) + a*b^2*d*f*(4 + m)*(2*d^2*e^2 - 2*c*d*e*f*(5 + m) + c^2*f^2*(26 + 17*m + 3*m^2)) + b^3*(6*d^3*e^3 - 2*c*d^2*e^2*f*(13 + m) + c^2*d*e*f^2*(46 + 11*m + m^2) - c^3*f^3*(50 + 35*m + 10*m^2 + m^3)))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m))/((b*c - a*d)^4*(d*e - c*f)^4*(1 + m)*(2 + m)*(3 + m)*(4 + m)) + (f^4*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[1, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)*(d*e - c*f)^4*(1 + m))","A",6,4,26,0.1538,1,"{129, 155, 12, 131}"
3111,1,131,0,0.0988649,"\int (a+b x)^m (c+d x)^{1-m} (e+f x)^p \, dx","Int[(a + b*x)^m*(c + d*x)^(1 - m)*(e + f*x)^p,x]","\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m-1,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b^2 (m+1)}","\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m-1,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b^2 (m+1)}",1,"((b*c - a*d)*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*(e + f*x)^p*AppellF1[1 + m, -1 + m, -p, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(b^2*(1 + m)*(c + d*x)^m*((b*(e + f*x))/(b*e - a*f))^p)","A",3,3,26,0.1154,1,"{140, 139, 138}"
3112,1,444,0,0.5159146,"\int (a+b x)^m (c+d x)^{1-m} (e+f x)^3 \, dx","Int[(a + b*x)^m*(c + d*x)^(1 - m)*(e + f*x)^3,x]","-\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(-3 a^2 b d^2 f^2 \left(m^2-5 m+6\right) (5 d e-c f (m+1))+a^3 d^3 f^3 \left(-m^3+9 m^2-26 m+24\right)+3 a b^2 d f (2-m) \left(c^2 f^2 \left(m^2+3 m+2\right)-10 c d e f (m+1)+20 d^2 e^2\right)+b^3 \left(-\left(15 c^2 d e f^2 \left(m^2+3 m+2\right)-c^3 f^3 \left(m^3+6 m^2+11 m+6\right)-60 c d^2 e^2 f (m+1)+60 d^3 e^3\right)\right)\right) \, _2F_1\left(m-1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{60 b^5 d^3 (m+1)}+\frac{f (a+b x)^{m+1} (c+d x)^{2-m} \left(a^2 d^2 f^2 \left(m^2-7 m+12\right)-a b d f \left(15 d e (3-m)-c f \left(-2 m^2+2 m+9\right)\right)+3 b d f x (-a d f (4-m)-b c f (m+3)+7 b d e)+b^2 \left(c^2 f^2 \left(m^2+5 m+6\right)-15 c d e f (m+2)+48 d^2 e^2\right)\right)}{60 b^3 d^3}+\frac{f (e+f x)^2 (a+b x)^{m+1} (c+d x)^{2-m}}{5 b d}","-\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(-3 a^2 b d^2 f^2 \left(m^2-5 m+6\right) (5 d e-c f (m+1))+a^3 d^3 f^3 \left(-m^3+9 m^2-26 m+24\right)+3 a b^2 d f (2-m) \left(c^2 f^2 \left(m^2+3 m+2\right)-10 c d e f (m+1)+20 d^2 e^2\right)+b^3 \left(-\left(15 c^2 d e f^2 \left(m^2+3 m+2\right)-c^3 f^3 \left(m^3+6 m^2+11 m+6\right)-60 c d^2 e^2 f (m+1)+60 d^3 e^3\right)\right)\right) \, _2F_1\left(m-1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{60 b^5 d^3 (m+1)}+\frac{f (a+b x)^{m+1} (c+d x)^{2-m} \left(a^2 d^2 f^2 \left(m^2-7 m+12\right)-a b d f \left(15 d e (3-m)-c f \left(-2 m^2+2 m+9\right)\right)-3 b d f x (a d f (4-m)-b (7 d e-c f (m+3)))+b^2 \left(c^2 f^2 \left(m^2+5 m+6\right)-15 c d e f (m+2)+48 d^2 e^2\right)\right)}{60 b^3 d^3}+\frac{f (e+f x)^2 (a+b x)^{m+1} (c+d x)^{2-m}}{5 b d}",1,"(f*(a + b*x)^(1 + m)*(c + d*x)^(2 - m)*(e + f*x)^2)/(5*b*d) + (f*(a + b*x)^(1 + m)*(c + d*x)^(2 - m)*(a^2*d^2*f^2*(12 - 7*m + m^2) - a*b*d*f*(15*d*e*(3 - m) - c*f*(9 + 2*m - 2*m^2)) + b^2*(48*d^2*e^2 - 15*c*d*e*f*(2 + m) + c^2*f^2*(6 + 5*m + m^2)) + 3*b*d*f*(7*b*d*e - a*d*f*(4 - m) - b*c*f*(3 + m))*x))/(60*b^3*d^3) - ((b*c - a*d)*(a^3*d^3*f^3*(24 - 26*m + 9*m^2 - m^3) - 3*a^2*b*d^2*f^2*(6 - 5*m + m^2)*(5*d*e - c*f*(1 + m)) + 3*a*b^2*d*f*(2 - m)*(20*d^2*e^2 - 10*c*d*e*f*(1 + m) + c^2*f^2*(2 + 3*m + m^2)) - b^3*(60*d^3*e^3 - 60*c*d^2*e^2*f*(1 + m) + 15*c^2*d*e*f^2*(2 + 3*m + m^2) - c^3*f^3*(6 + 11*m + 6*m^2 + m^3)))*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[-1 + m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(60*b^5*d^3*(1 + m)*(c + d*x)^m)","A",4,4,26,0.1538,1,"{100, 147, 70, 69}"
3113,1,259,0,0.2282393,"\int (a+b x)^m (c+d x)^{1-m} (e+f x)^2 \, dx","Int[(a + b*x)^m*(c + d*x)^(1 - m)*(e + f*x)^2,x]","\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(a^2 d^2 f^2 \left(m^2-5 m+6\right)-2 a b d f (2-m) (4 d e-c f (m+1))+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)-8 c d e f (m+1)+12 d^2 e^2\right)\right) \, _2F_1\left(m-1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{12 b^4 d^2 (m+1)}+\frac{f (a+b x)^{m+1} (c+d x)^{2-m} (-a d f (3-m)-b c f (m+2)+5 b d e)}{12 b^2 d^2}+\frac{f (e+f x) (a+b x)^{m+1} (c+d x)^{2-m}}{4 b d}","\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(a^2 d^2 f^2 \left(m^2-5 m+6\right)-2 a b d f (2-m) (4 d e-c f (m+1))+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)-8 c d e f (m+1)+12 d^2 e^2\right)\right) \, _2F_1\left(m-1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{12 b^4 d^2 (m+1)}-\frac{f (a+b x)^{m+1} (c+d x)^{2-m} (a d f (3-m)-b (5 d e-c f (m+2)))}{12 b^2 d^2}+\frac{f (e+f x) (a+b x)^{m+1} (c+d x)^{2-m}}{4 b d}",1,"(f*(5*b*d*e - a*d*f*(3 - m) - b*c*f*(2 + m))*(a + b*x)^(1 + m)*(c + d*x)^(2 - m))/(12*b^2*d^2) + (f*(a + b*x)^(1 + m)*(c + d*x)^(2 - m)*(e + f*x))/(4*b*d) + ((b*c - a*d)*(a^2*d^2*f^2*(6 - 5*m + m^2) - 2*a*b*d*f*(2 - m)*(4*d*e - c*f*(1 + m)) + b^2*(12*d^2*e^2 - 8*c*d*e*f*(1 + m) + c^2*f^2*(2 + 3*m + m^2)))*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[-1 + m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(12*b^4*d^2*(1 + m)*(c + d*x)^m)","A",4,4,26,0.1538,1,"{90, 80, 70, 69}"
3114,1,144,0,0.0782658,"\int (a+b x)^m (c+d x)^{1-m} (e+f x) \, dx","Int[(a + b*x)^m*(c + d*x)^(1 - m)*(e + f*x),x]","\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m (-a d f (2-m)-b c f (m+1)+3 b d e) \, _2F_1\left(m-1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{3 b^3 d (m+1)}+\frac{f (a+b x)^{m+1} (c+d x)^{2-m}}{3 b d}","\frac{f (a+b x)^{m+1} (c+d x)^{2-m}}{3 b d}-\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m (a d f (2-m)-b (3 d e-c f (m+1))) \, _2F_1\left(m-1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{3 b^3 d (m+1)}",1,"(f*(a + b*x)^(1 + m)*(c + d*x)^(2 - m))/(3*b*d) + ((b*c - a*d)*(3*b*d*e - a*d*f*(2 - m) - b*c*f*(1 + m))*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[-1 + m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(3*b^3*d*(1 + m)*(c + d*x)^m)","A",3,3,24,0.1250,1,"{80, 70, 69}"
3115,1,82,0,0.0254247,"\int (a+b x)^m (c+d x)^{1-m} \, dx","Int[(a + b*x)^m*(c + d*x)^(1 - m),x]","\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m-1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b^2 (m+1)}","\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m-1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b^2 (m+1)}",1,"((b*c - a*d)*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[-1 + m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(b^2*(1 + m)*(c + d*x)^m)","A",2,2,19,0.1053,1,"{70, 69}"
3116,1,220,0,0.1189481,"\int \frac{(a+b x)^m (c+d x)^{1-m}}{e+f x} \, dx","Int[((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x),x]","\frac{(a+b x)^m (d e-c f) (c+d x)^{-m} \, _2F_1\left(1,m;m+1;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{f^2 m}-\frac{(a+b x)^m (d e-c f) (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m,m;m+1;-\frac{d (a+b x)}{b c-a d}\right)}{f^2 m}+\frac{d (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b f (m+1)}","-\frac{(a+b x)^m (d e-c f) (c+d x)^{-m} \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{f^2 m}+\frac{d (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m (b (d e-c f (1-m))-a d f m) \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b f^2 m (m+1) (b c-a d)}-\frac{d (a+b x)^{m+1} (d e-c f) (c+d x)^{-m}}{f^2 m (b c-a d)}",1,"((d*e - c*f)*(a + b*x)^m*Hypergeometric2F1[1, m, 1 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(f^2*m*(c + d*x)^m) - ((d*e - c*f)*(a + b*x)^m*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[m, m, 1 + m, -((d*(a + b*x))/(b*c - a*d))])/(f^2*m*(c + d*x)^m) + (d*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(b*f*(1 + m)*(c + d*x)^m)","A",7,4,26,0.1538,1,"{105, 70, 69, 131}"
3117,1,108,0,0.0512165,"\int \frac{(a+b x)^m (c+d x)^{1-m}}{(e+f x)^2} \, dx","Int[((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^2,x]","\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m F_1\left(m+1;m-1,2;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)^2}","\frac{(a+b x)^m (c+d x)^{-m} (a d f (1-m)-b (d e-c f m)) \, _2F_1\left(1,m;m+1;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{f^2 m (b e-a f)}-\frac{(a+b x)^m (c+d x)^{1-m}}{f (e+f x)}+\frac{d (a+b x)^m (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m,m;m+1;-\frac{d (a+b x)}{b c-a d}\right)}{f^2 m}",1,"((b*c - a*d)*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*AppellF1[1 + m, -1 + m, 2, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/((b*e - a*f)^2*(1 + m)*(c + d*x)^m)","C",2,2,26,0.07692,0,"{137, 136}"
3118,1,85,0,0.0250784,"\int \frac{(a+b x)^m (c+d x)^{1-m}}{(e+f x)^3} \, dx","Int[((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^3,x]","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m-1} \, _2F_1\left(3,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{(m+1) (b e-a f)^3}","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m-1} \, _2F_1\left(3,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{(m+1) (b e-a f)^3}",1,"((b*c - a*d)^2*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[3, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)^3*(1 + m))","A",1,1,26,0.03846,1,"{131}"
3119,1,175,0,0.0760859,"\int \frac{(a+b x)^m (c+d x)^{1-m}}{(e+f x)^4} \, dx","Int[((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^4,x]","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m-1} (-a d f (m+1)-b c f (2-m)+3 b d e) \, _2F_1\left(3,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{3 (m+1) (b e-a f)^4 (d e-c f)}-\frac{f (a+b x)^{m+1} (c+d x)^{2-m}}{3 (e+f x)^3 (b e-a f) (d e-c f)}","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m-1} (b (3 d e-c f (2-m))-a d f (m+1)) \, _2F_1\left(3,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{3 (m+1) (b e-a f)^4 (d e-c f)}-\frac{f (a+b x)^{m+1} (c+d x)^{2-m}}{3 (e+f x)^3 (b e-a f) (d e-c f)}",1,"-(f*(a + b*x)^(1 + m)*(c + d*x)^(2 - m))/(3*(b*e - a*f)*(d*e - c*f)*(e + f*x)^3) + ((b*c - a*d)^2*(3*b*d*e - b*c*f*(2 - m) - a*d*f*(1 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[3, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(3*(b*e - a*f)^4*(d*e - c*f)*(1 + m))","A",2,2,26,0.07692,1,"{96, 131}"
3120,1,310,0,0.3218364,"\int \frac{(a+b x)^m (c+d x)^{1-m}}{(e+f x)^5} \, dx","Int[((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^5,x]","-\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m-1} \left(-a^2 d^2 f^2 \left(m^2+3 m+2\right)+2 a b d f (m+1) (4 d e-c f (2-m))+b^2 \left(-\left(c^2 f^2 \left(m^2-5 m+6\right)-8 c d e f (2-m)+12 d^2 e^2\right)\right)\right) \, _2F_1\left(3,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{12 (m+1) (b e-a f)^5 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{2-m} (-a d f (m+2)-b c f (3-m)+5 b d e)}{12 (e+f x)^3 (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{2-m}}{4 (e+f x)^4 (b e-a f) (d e-c f)}","-\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m-1} \left(-a^2 d^2 f^2 \left(m^2+3 m+2\right)+2 a b d f (m+1) (4 d e-c f (2-m))+b^2 \left(-\left(c^2 f^2 \left(m^2-5 m+6\right)-8 c d e f (2-m)+12 d^2 e^2\right)\right)\right) \, _2F_1\left(3,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{12 (m+1) (b e-a f)^5 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{2-m} (b (5 d e-c f (3-m))-a d f (m+2))}{12 (e+f x)^3 (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{2-m}}{4 (e+f x)^4 (b e-a f) (d e-c f)}",1,"-(f*(a + b*x)^(1 + m)*(c + d*x)^(2 - m))/(4*(b*e - a*f)*(d*e - c*f)*(e + f*x)^4) - (f*(5*b*d*e - b*c*f*(3 - m) - a*d*f*(2 + m))*(a + b*x)^(1 + m)*(c + d*x)^(2 - m))/(12*(b*e - a*f)^2*(d*e - c*f)^2*(e + f*x)^3) - ((b*c - a*d)^2*(2*a*b*d*f*(4*d*e - c*f*(2 - m))*(1 + m) - a^2*d^2*f^2*(2 + 3*m + m^2) - b^2*(12*d^2*e^2 - 8*c*d*e*f*(2 - m) + c^2*f^2*(6 - 5*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[3, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(12*(b*e - a*f)^5*(d*e - c*f)^2*(1 + m))","A",4,4,26,0.1538,1,"{129, 151, 12, 131}"
3121,1,541,0,0.936091,"\int \frac{(a+b x)^m (c+d x)^{1-m}}{(e+f x)^6} \, dx","Int[((a + b*x)^m*(c + d*x)^(1 - m))/(e + f*x)^6,x]","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m-1} \left(3 a^2 b d^2 f^2 \left(m^2+3 m+2\right) (5 d e-c f (2-m))-a^3 d^3 f^3 \left(m^3+6 m^2+11 m+6\right)-3 a b^2 d f (m+1) \left(c^2 f^2 \left(m^2-5 m+6\right)-10 c d e f (2-m)+20 d^2 e^2\right)+b^3 \left(15 c^2 d e f^2 \left(m^2-5 m+6\right)-c^3 f^3 \left(-m^3+9 m^2-26 m+24\right)-60 c d^2 e^2 f (2-m)+60 d^3 e^3\right)\right) \, _2F_1\left(3,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{60 (m+1) (b e-a f)^6 (d e-c f)^3}-\frac{f (a+b x)^{m+1} (c+d x)^{2-m} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-a b d f \left(3 d e (4 m+7)-c f \left(-2 m^2+2 m+9\right)\right)+b^2 \left(c^2 f^2 \left(m^2-7 m+12\right)-3 c d e f (11-4 m)+27 d^2 e^2\right)\right)}{60 (e+f x)^3 (b e-a f)^3 (d e-c f)^3}-\frac{f (a+b x)^{m+1} (c+d x)^{2-m} (-a d f (m+3)-b c f (4-m)+7 b d e)}{20 (e+f x)^4 (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{2-m}}{5 (e+f x)^5 (b e-a f) (d e-c f)}","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m-1} \left(3 a^2 b d^2 f^2 \left(m^2+3 m+2\right) (5 d e-c f (2-m))-a^3 d^3 f^3 \left(m^3+6 m^2+11 m+6\right)-3 a b^2 d f (m+1) \left(c^2 f^2 \left(m^2-5 m+6\right)-10 c d e f (2-m)+20 d^2 e^2\right)+b^3 \left(15 c^2 d e f^2 \left(m^2-5 m+6\right)-c^3 f^3 \left(-m^3+9 m^2-26 m+24\right)-60 c d^2 e^2 f (2-m)+60 d^3 e^3\right)\right) \, _2F_1\left(3,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{60 (m+1) (b e-a f)^6 (d e-c f)^3}-\frac{f (a+b x)^{m+1} (c+d x)^{2-m} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-a b d f \left(3 d e (4 m+7)-c f \left(-2 m^2+2 m+9\right)\right)+b^2 \left(c^2 f^2 \left(m^2-7 m+12\right)-3 c d e f (11-4 m)+27 d^2 e^2\right)\right)}{60 (e+f x)^3 (b e-a f)^3 (d e-c f)^3}-\frac{f (a+b x)^{m+1} (c+d x)^{2-m} (b (7 d e-c f (4-m))-a d f (m+3))}{20 (e+f x)^4 (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{2-m}}{5 (e+f x)^5 (b e-a f) (d e-c f)}",1,"-(f*(a + b*x)^(1 + m)*(c + d*x)^(2 - m))/(5*(b*e - a*f)*(d*e - c*f)*(e + f*x)^5) - (f*(7*b*d*e - b*c*f*(4 - m) - a*d*f*(3 + m))*(a + b*x)^(1 + m)*(c + d*x)^(2 - m))/(20*(b*e - a*f)^2*(d*e - c*f)^2*(e + f*x)^4) - (f*(a^2*d^2*f^2*(6 + 5*m + m^2) - a*b*d*f*(3*d*e*(7 + 4*m) - c*f*(9 + 2*m - 2*m^2)) + b^2*(27*d^2*e^2 - 3*c*d*e*f*(11 - 4*m) + c^2*f^2*(12 - 7*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(2 - m))/(60*(b*e - a*f)^3*(d*e - c*f)^3*(e + f*x)^3) + ((b*c - a*d)^2*(3*a^2*b*d^2*f^2*(5*d*e - c*f*(2 - m))*(2 + 3*m + m^2) - a^3*d^3*f^3*(6 + 11*m + 6*m^2 + m^3) - 3*a*b^2*d*f*(1 + m)*(20*d^2*e^2 - 10*c*d*e*f*(2 - m) + c^2*f^2*(6 - 5*m + m^2)) + b^3*(60*d^3*e^3 - 60*c*d^2*e^2*f*(2 - m) + 15*c^2*d*e*f^2*(6 - 5*m + m^2) - c^3*f^3*(24 - 26*m + 9*m^2 - m^3)))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[3, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(60*(b*e - a*f)^6*(d*e - c*f)^3*(1 + m))","A",5,4,26,0.1538,1,"{129, 151, 12, 131}"
3122,1,133,0,0.0927117,"\int (a+b x)^m (c+d x)^{2-m} (e+f x)^p \, dx","Int[(a + b*x)^m*(c + d*x)^(2 - m)*(e + f*x)^p,x]","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m-2,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b^3 (m+1)}","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m} (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;m-2,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b^3 (m+1)}",1,"((b*c - a*d)^2*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*(e + f*x)^p*AppellF1[1 + m, -2 + m, -p, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(b^3*(1 + m)*(c + d*x)^m*((b*(e + f*x))/(b*e - a*f))^p)","A",3,3,26,0.1154,1,"{140, 139, 138}"
3123,1,446,0,0.5218657,"\int (a+b x)^m (c+d x)^{2-m} (e+f x)^3 \, dx","Int[(a + b*x)^m*(c + d*x)^(2 - m)*(e + f*x)^3,x]","-\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(-3 a^2 b d^2 f^2 \left(m^2-7 m+12\right) (6 d e-c f (m+1))+a^3 d^3 f^3 \left(-m^3+12 m^2-47 m+60\right)+3 a b^2 d f (3-m) \left(c^2 f^2 \left(m^2+3 m+2\right)-12 c d e f (m+1)+30 d^2 e^2\right)+b^3 \left(-\left(18 c^2 d e f^2 \left(m^2+3 m+2\right)-c^3 f^3 \left(m^3+6 m^2+11 m+6\right)-90 c d^2 e^2 f (m+1)+120 d^3 e^3\right)\right)\right) \, _2F_1\left(m-2,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{120 b^6 d^3 (m+1)}+\frac{f (a+b x)^{m+1} (c+d x)^{3-m} \left(a^2 d^2 f^2 \left(m^2-9 m+20\right)-2 a b d f \left(9 d e (4-m)-c f \left(-m^2+2 m+6\right)\right)+4 b d f x (-a d f (5-m)-b c f (m+3)+8 b d e)+b^2 \left(c^2 f^2 \left(m^2+5 m+6\right)-18 c d e f (m+2)+70 d^2 e^2\right)\right)}{120 b^3 d^3}+\frac{f (e+f x)^2 (a+b x)^{m+1} (c+d x)^{3-m}}{6 b d}","-\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(-3 a^2 b d^2 f^2 \left(m^2-7 m+12\right) (6 d e-c f (m+1))+a^3 d^3 f^3 \left(-m^3+12 m^2-47 m+60\right)+3 a b^2 d f (3-m) \left(c^2 f^2 \left(m^2+3 m+2\right)-12 c d e f (m+1)+30 d^2 e^2\right)+b^3 \left(-\left(18 c^2 d e f^2 \left(m^2+3 m+2\right)-c^3 f^3 \left(m^3+6 m^2+11 m+6\right)-90 c d^2 e^2 f (m+1)+120 d^3 e^3\right)\right)\right) \, _2F_1\left(m-2,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{120 b^6 d^3 (m+1)}+\frac{f (a+b x)^{m+1} (c+d x)^{3-m} \left(a^2 d^2 f^2 \left(m^2-9 m+20\right)-2 a b d f \left(9 d e (4-m)-c f \left(-m^2+2 m+6\right)\right)-4 b d f x (a d f (5-m)-b (8 d e-c f (m+3)))+b^2 \left(c^2 f^2 \left(m^2+5 m+6\right)-18 c d e f (m+2)+70 d^2 e^2\right)\right)}{120 b^3 d^3}+\frac{f (e+f x)^2 (a+b x)^{m+1} (c+d x)^{3-m}}{6 b d}",1,"(f*(a + b*x)^(1 + m)*(c + d*x)^(3 - m)*(e + f*x)^2)/(6*b*d) + (f*(a + b*x)^(1 + m)*(c + d*x)^(3 - m)*(a^2*d^2*f^2*(20 - 9*m + m^2) - 2*a*b*d*f*(9*d*e*(4 - m) - c*f*(6 + 2*m - m^2)) + b^2*(70*d^2*e^2 - 18*c*d*e*f*(2 + m) + c^2*f^2*(6 + 5*m + m^2)) + 4*b*d*f*(8*b*d*e - a*d*f*(5 - m) - b*c*f*(3 + m))*x))/(120*b^3*d^3) - ((b*c - a*d)^2*(a^3*d^3*f^3*(60 - 47*m + 12*m^2 - m^3) - 3*a^2*b*d^2*f^2*(12 - 7*m + m^2)*(6*d*e - c*f*(1 + m)) + 3*a*b^2*d*f*(3 - m)*(30*d^2*e^2 - 12*c*d*e*f*(1 + m) + c^2*f^2*(2 + 3*m + m^2)) - b^3*(120*d^3*e^3 - 90*c*d^2*e^2*f*(1 + m) + 18*c^2*d*e*f^2*(2 + 3*m + m^2) - c^3*f^3*(6 + 11*m + 6*m^2 + m^3)))*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[-2 + m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(120*b^6*d^3*(1 + m)*(c + d*x)^m)","A",4,4,26,0.1538,1,"{100, 147, 70, 69}"
3124,1,261,0,0.2258788,"\int (a+b x)^m (c+d x)^{2-m} (e+f x)^2 \, dx","Int[(a + b*x)^m*(c + d*x)^(2 - m)*(e + f*x)^2,x]","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(a^2 d^2 f^2 \left(m^2-7 m+12\right)-2 a b d f (3-m) (5 d e-c f (m+1))+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)-10 c d e f (m+1)+20 d^2 e^2\right)\right) \, _2F_1\left(m-2,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{20 b^5 d^2 (m+1)}+\frac{f (a+b x)^{m+1} (c+d x)^{3-m} (-a d f (4-m)-b c f (m+2)+6 b d e)}{20 b^2 d^2}+\frac{f (e+f x) (a+b x)^{m+1} (c+d x)^{3-m}}{5 b d}","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(a^2 d^2 f^2 \left(m^2-7 m+12\right)-2 a b d f (3-m) (5 d e-c f (m+1))+b^2 \left(c^2 f^2 \left(m^2+3 m+2\right)-10 c d e f (m+1)+20 d^2 e^2\right)\right) \, _2F_1\left(m-2,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{20 b^5 d^2 (m+1)}-\frac{f (a+b x)^{m+1} (c+d x)^{3-m} (a d f (4-m)-b (6 d e-c f (m+2)))}{20 b^2 d^2}+\frac{f (e+f x) (a+b x)^{m+1} (c+d x)^{3-m}}{5 b d}",1,"(f*(6*b*d*e - a*d*f*(4 - m) - b*c*f*(2 + m))*(a + b*x)^(1 + m)*(c + d*x)^(3 - m))/(20*b^2*d^2) + (f*(a + b*x)^(1 + m)*(c + d*x)^(3 - m)*(e + f*x))/(5*b*d) + ((b*c - a*d)^2*(a^2*d^2*f^2*(12 - 7*m + m^2) - 2*a*b*d*f*(3 - m)*(5*d*e - c*f*(1 + m)) + b^2*(20*d^2*e^2 - 10*c*d*e*f*(1 + m) + c^2*f^2*(2 + 3*m + m^2)))*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[-2 + m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(20*b^5*d^2*(1 + m)*(c + d*x)^m)","A",4,4,26,0.1538,1,"{90, 80, 70, 69}"
3125,1,146,0,0.0730053,"\int (a+b x)^m (c+d x)^{2-m} (e+f x) \, dx","Int[(a + b*x)^m*(c + d*x)^(2 - m)*(e + f*x),x]","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m (-a d f (3-m)-b c f (m+1)+4 b d e) \, _2F_1\left(m-2,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{4 b^4 d (m+1)}+\frac{f (a+b x)^{m+1} (c+d x)^{3-m}}{4 b d}","\frac{f (a+b x)^{m+1} (c+d x)^{3-m}}{4 b d}-\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m (a d f (3-m)-b (4 d e-c f (m+1))) \, _2F_1\left(m-2,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{4 b^4 d (m+1)}",1,"(f*(a + b*x)^(1 + m)*(c + d*x)^(3 - m))/(4*b*d) + ((b*c - a*d)^2*(4*b*d*e - a*d*f*(3 - m) - b*c*f*(1 + m))*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[-2 + m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(4*b^4*d*(1 + m)*(c + d*x)^m)","A",3,3,24,0.1250,1,"{80, 70, 69}"
3126,1,84,0,0.0250022,"\int (a+b x)^m (c+d x)^{2-m} \, dx","Int[(a + b*x)^m*(c + d*x)^(2 - m),x]","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m-2,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b^3 (m+1)}","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m-2,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b^3 (m+1)}",1,"((b*c - a*d)^2*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[-2 + m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(b^3*(1 + m)*(c + d*x)^m)","A",2,2,19,0.1053,1,"{70, 69}"
3127,1,319,0,0.1934049,"\int \frac{(a+b x)^m (c+d x)^{2-m}}{e+f x} \, dx","Int[((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x),x]","\frac{d (b c-a d) (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m-1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b^2 f (m+1)}-\frac{(a+b x)^m (d e-c f)^2 (c+d x)^{-m} \, _2F_1\left(1,m;m+1;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{f^3 m}+\frac{(a+b x)^m (d e-c f)^2 (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m,m;m+1;-\frac{d (a+b x)}{b c-a d}\right)}{f^3 m}-\frac{d (a+b x)^{m+1} (d e-c f) (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b f^2 (m+1)}","\frac{d (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(a^2 d^2 f^2 (1-m) m+2 a b d f m (d e-c f (2-m))+b^2 \left(-\left(c^2 f^2 \left(m^2-3 m+2\right)-2 c d e f (2-m)+2 d^2 e^2\right)\right)\right) \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{2 b^2 f^3 m (m+1) (b c-a d)}-\frac{d (a+b x)^{m+1} (c+d x)^{-m} \left(-a^2 d^2 f^2 m+2 a b c d f^2 m+b^2 \left(-\left(c^2 f^2 (m+2)-4 c d e f+2 d^2 e^2\right)\right)\right)}{2 b^2 f^3 m (b c-a d)}+\frac{d^2 (a+b x)^{m+2} (c+d x)^{-m}}{2 b^2 f}+\frac{(a+b x)^m (d e-c f)^2 (c+d x)^{-m} \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{f^3 m}",1,"-(((d*e - c*f)^2*(a + b*x)^m*Hypergeometric2F1[1, m, 1 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(f^3*m*(c + d*x)^m)) + (d*(b*c - a*d)*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[-1 + m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(b^2*f*(1 + m)*(c + d*x)^m) + ((d*e - c*f)^2*(a + b*x)^m*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[m, m, 1 + m, -((d*(a + b*x))/(b*c - a*d))])/(f^3*m*(c + d*x)^m) - (d*(d*e - c*f)*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(b*f^2*(1 + m)*(c + d*x)^m)","A",10,4,26,0.1538,1,"{105, 70, 69, 131}"
3128,1,113,0,0.0556324,"\int \frac{(a+b x)^m (c+d x)^{2-m}}{(e+f x)^2} \, dx","Int[((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^2,x]","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m F_1\left(m+1;m-2,2;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b (m+1) (b e-a f)^2}","\frac{d^2 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m (b (2 d e-c f (2-m))-a d f m) \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b f^3 m (m+1) (b c-a d)}-\frac{2 d^2 (a+b x)^{m+1} (d e-c f) (c+d x)^{-m}}{f^3 m (b c-a d)}+\frac{(a+b x)^m (d e-c f) (c+d x)^{-m} (a d f (2-m)-b (2 d e-c f m)) \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{f^3 m (b e-a f)}+\frac{(a+b x)^{m+1} (d e-c f)^2 (c+d x)^{-m}}{f^2 (e+f x) (b e-a f)}",1,"((b*c - a*d)^2*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*AppellF1[1 + m, -2 + m, 2, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(b*(b*e - a*f)^2*(1 + m)*(c + d*x)^m)","C",2,2,26,0.07692,0,"{137, 136}"
3129,1,110,0,0.050884,"\int \frac{(a+b x)^m (c+d x)^{2-m}}{(e+f x)^3} \, dx","Int[((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^3,x]","\frac{(b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m F_1\left(m+1;m-2,3;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)^3}","-\frac{(a+b x)^{m-1} (c+d x)^{1-m} \left(-a^2 d^2 f^2 \left(m^2-3 m+2\right)+2 a b d f (2-m) (d e-c f m)+b^2 \left(-\left(-c^2 f^2 (1-m) m-2 c d e f m+2 d^2 e^2\right)\right)\right) \, _2F_1\left(1,m-1;m;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{2 f^3 (1-m) (b e-a f) (d e-c f)}+\frac{(a+b x)^{m-1} (c+d x)^{2-m} (a d f (2-m)-b (3 d e-c f (m+1)))}{2 f^2 (e+f x) (d e-c f)}+\frac{(b e-a f) (a+b x)^{m-1} (c+d x)^{2-m}}{2 f^2 (e+f x)^2}-\frac{d (b c-a d) (a+b x)^{m-1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m-1,m-1;m;-\frac{d (a+b x)}{b c-a d}\right)}{f^3 (1-m)}",1,"((b*c - a*d)^2*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*AppellF1[1 + m, -2 + m, 3, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/((b*e - a*f)^3*(1 + m)*(c + d*x)^m)","C",2,2,26,0.07692,0,"{137, 136}"
3130,1,85,0,0.0205919,"\int \frac{(a+b x)^m (c+d x)^{2-m}}{(e+f x)^4} \, dx","Int[((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^4,x]","\frac{(b c-a d)^3 (a+b x)^{m+1} (c+d x)^{-m-1} \, _2F_1\left(4,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{(m+1) (b e-a f)^4}","\frac{(b c-a d)^3 (a+b x)^{m+1} (c+d x)^{-m-1} \, _2F_1\left(4,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{(m+1) (b e-a f)^4}",1,"((b*c - a*d)^3*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[4, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/((b*e - a*f)^4*(1 + m))","A",1,1,26,0.03846,1,"{131}"
3131,1,175,0,0.0732831,"\int \frac{(a+b x)^m (c+d x)^{2-m}}{(e+f x)^5} \, dx","Int[((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^5,x]","\frac{(b c-a d)^3 (a+b x)^{m+1} (c+d x)^{-m-1} (-a d f (m+1)-b c f (3-m)+4 b d e) \, _2F_1\left(4,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{4 (m+1) (b e-a f)^5 (d e-c f)}-\frac{f (a+b x)^{m+1} (c+d x)^{3-m}}{4 (e+f x)^4 (b e-a f) (d e-c f)}","\frac{(b c-a d)^3 (a+b x)^{m+1} (c+d x)^{-m-1} (b (4 d e-c f (3-m))-a d f (m+1)) \, _2F_1\left(4,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{4 (m+1) (b e-a f)^5 (d e-c f)}-\frac{f (a+b x)^{m+1} (c+d x)^{3-m}}{4 (e+f x)^4 (b e-a f) (d e-c f)}",1,"-(f*(a + b*x)^(1 + m)*(c + d*x)^(3 - m))/(4*(b*e - a*f)*(d*e - c*f)*(e + f*x)^4) + ((b*c - a*d)^3*(4*b*d*e - b*c*f*(3 - m) - a*d*f*(1 + m))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[4, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(4*(b*e - a*f)^5*(d*e - c*f)*(1 + m))","A",2,2,26,0.07692,1,"{96, 131}"
3132,1,310,0,0.3237712,"\int \frac{(a+b x)^m (c+d x)^{2-m}}{(e+f x)^6} \, dx","Int[((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^6,x]","-\frac{(b c-a d)^3 (a+b x)^{m+1} (c+d x)^{-m-1} \left(-a^2 d^2 f^2 \left(m^2+3 m+2\right)+2 a b d f (m+1) (5 d e-c f (3-m))+b^2 \left(-\left(c^2 f^2 \left(m^2-7 m+12\right)-10 c d e f (3-m)+20 d^2 e^2\right)\right)\right) \, _2F_1\left(4,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{20 (m+1) (b e-a f)^6 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{3-m} (-a d f (m+2)-b c f (4-m)+6 b d e)}{20 (e+f x)^4 (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{3-m}}{5 (e+f x)^5 (b e-a f) (d e-c f)}","-\frac{(b c-a d)^3 (a+b x)^{m+1} (c+d x)^{-m-1} \left(-a^2 d^2 f^2 \left(m^2+3 m+2\right)+2 a b d f (m+1) (5 d e-c f (3-m))+b^2 \left(-\left(c^2 f^2 \left(m^2-7 m+12\right)-10 c d e f (3-m)+20 d^2 e^2\right)\right)\right) \, _2F_1\left(4,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{20 (m+1) (b e-a f)^6 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{3-m} (b (6 d e-c f (4-m))-a d f (m+2))}{20 (e+f x)^4 (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{3-m}}{5 (e+f x)^5 (b e-a f) (d e-c f)}",1,"-(f*(a + b*x)^(1 + m)*(c + d*x)^(3 - m))/(5*(b*e - a*f)*(d*e - c*f)*(e + f*x)^5) - (f*(6*b*d*e - b*c*f*(4 - m) - a*d*f*(2 + m))*(a + b*x)^(1 + m)*(c + d*x)^(3 - m))/(20*(b*e - a*f)^2*(d*e - c*f)^2*(e + f*x)^4) - ((b*c - a*d)^3*(2*a*b*d*f*(5*d*e - c*f*(3 - m))*(1 + m) - a^2*d^2*f^2*(2 + 3*m + m^2) - b^2*(20*d^2*e^2 - 10*c*d*e*f*(3 - m) + c^2*f^2*(12 - 7*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[4, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(20*(b*e - a*f)^6*(d*e - c*f)^2*(1 + m))","A",4,4,26,0.1538,1,"{129, 151, 12, 131}"
3133,1,540,0,1.0257829,"\int \frac{(a+b x)^m (c+d x)^{2-m}}{(e+f x)^7} \, dx","Int[((a + b*x)^m*(c + d*x)^(2 - m))/(e + f*x)^7,x]","\frac{(b c-a d)^3 (a+b x)^{m+1} (c+d x)^{-m-1} \left(3 a^2 b d^2 f^2 \left(m^2+3 m+2\right) (6 d e-c f (3-m))-a^3 d^3 f^3 \left(m^3+6 m^2+11 m+6\right)-3 a b^2 d f (m+1) \left(c^2 f^2 \left(m^2-7 m+12\right)-12 c d e f (3-m)+30 d^2 e^2\right)+b^3 \left(18 c^2 d e f^2 \left(m^2-7 m+12\right)-c^3 f^3 \left(-m^3+12 m^2-47 m+60\right)-90 c d^2 e^2 f (3-m)+120 d^3 e^3\right)\right) \, _2F_1\left(4,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{120 (m+1) (b e-a f)^7 (d e-c f)^3}-\frac{f (a+b x)^{m+1} (c+d x)^{3-m} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-2 a b d f \left(d e (7 m+12)-c f \left(-m^2+2 m+6\right)\right)+b^2 \left(c^2 f^2 \left(m^2-9 m+20\right)-2 c d e f (26-7 m)+38 d^2 e^2\right)\right)}{120 (e+f x)^4 (b e-a f)^3 (d e-c f)^3}-\frac{f (a+b x)^{m+1} (c+d x)^{3-m} (-a d f (m+3)-b c f (5-m)+8 b d e)}{30 (e+f x)^5 (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{3-m}}{6 (e+f x)^6 (b e-a f) (d e-c f)}","\frac{(b c-a d)^3 (a+b x)^{m+1} (c+d x)^{-m-1} \left(3 a^2 b d^2 f^2 \left(m^2+3 m+2\right) (6 d e-c f (3-m))-a^3 d^3 f^3 \left(m^3+6 m^2+11 m+6\right)-3 a b^2 d f (m+1) \left(c^2 f^2 \left(m^2-7 m+12\right)-12 c d e f (3-m)+30 d^2 e^2\right)+b^3 \left(18 c^2 d e f^2 \left(m^2-7 m+12\right)-c^3 f^3 \left(-m^3+12 m^2-47 m+60\right)-90 c d^2 e^2 f (3-m)+120 d^3 e^3\right)\right) \, _2F_1\left(4,m+1;m+2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{120 (m+1) (b e-a f)^7 (d e-c f)^3}-\frac{f (a+b x)^{m+1} (c+d x)^{3-m} \left(a^2 d^2 f^2 \left(m^2+5 m+6\right)-2 a b d f \left(d e (7 m+12)-c f \left(-m^2+2 m+6\right)\right)+b^2 \left(c^2 f^2 \left(m^2-9 m+20\right)-2 c d e f (26-7 m)+38 d^2 e^2\right)\right)}{120 (e+f x)^4 (b e-a f)^3 (d e-c f)^3}-\frac{f (a+b x)^{m+1} (c+d x)^{3-m} (b (8 d e-c f (5-m))-a d f (m+3))}{30 (e+f x)^5 (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{3-m}}{6 (e+f x)^6 (b e-a f) (d e-c f)}",1,"-(f*(a + b*x)^(1 + m)*(c + d*x)^(3 - m))/(6*(b*e - a*f)*(d*e - c*f)*(e + f*x)^6) - (f*(8*b*d*e - b*c*f*(5 - m) - a*d*f*(3 + m))*(a + b*x)^(1 + m)*(c + d*x)^(3 - m))/(30*(b*e - a*f)^2*(d*e - c*f)^2*(e + f*x)^5) - (f*(a^2*d^2*f^2*(6 + 5*m + m^2) - 2*a*b*d*f*(d*e*(12 + 7*m) - c*f*(6 + 2*m - m^2)) + b^2*(38*d^2*e^2 - 2*c*d*e*f*(26 - 7*m) + c^2*f^2*(20 - 9*m + m^2)))*(a + b*x)^(1 + m)*(c + d*x)^(3 - m))/(120*(b*e - a*f)^3*(d*e - c*f)^3*(e + f*x)^4) + ((b*c - a*d)^3*(3*a^2*b*d^2*f^2*(6*d*e - c*f*(3 - m))*(2 + 3*m + m^2) - a^3*d^3*f^3*(6 + 11*m + 6*m^2 + m^3) - 3*a*b^2*d*f*(1 + m)*(30*d^2*e^2 - 12*c*d*e*f*(3 - m) + c^2*f^2*(12 - 7*m + m^2)) + b^3*(120*d^3*e^3 - 90*c*d^2*e^2*f*(3 - m) + 18*c^2*d*e*f^2*(12 - 7*m + m^2) - c^3*f^3*(60 - 47*m + 12*m^2 - m^3)))*(a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[4, 1 + m, 2 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(120*(b*e - a*f)^7*(d*e - c*f)^3*(1 + m))","A",5,4,26,0.1538,1,"{129, 151, 12, 131}"
3134,1,417,0,0.3388859,"\int \frac{(a+b x)^m (c+d x)^{3-m}}{e+f x} \, dx","Int[((a + b*x)^m*(c + d*x)^(3 - m))/(e + f*x),x]","-\frac{d (b c-a d) (a+b x)^{m+1} (d e-c f) (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m-1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b^2 f^2 (m+1)}+\frac{d (b c-a d)^2 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m-2,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b^3 f (m+1)}+\frac{(a+b x)^m (d e-c f)^3 (c+d x)^{-m} \, _2F_1\left(1,m;m+1;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{f^4 m}-\frac{(a+b x)^m (d e-c f)^3 (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m,m;m+1;-\frac{d (a+b x)}{b c-a d}\right)}{f^4 m}+\frac{d (a+b x)^{m+1} (d e-c f)^2 (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b f^3 (m+1)}","-\frac{(b c-a d)^2 (a+b x)^{m-2} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(3 a^2 b d^2 f^2 (1-m) m (d e-c f (3-m))+a^3 d^3 f^3 m \left(m^2-3 m+2\right)+3 a b^2 d f m \left(c^2 f^2 \left(m^2-5 m+6\right)-2 c d e f (3-m)+2 d^2 e^2\right)+b^3 \left(-\left(3 c^2 d e f^2 \left(m^2-5 m+6\right)-c^3 f^3 \left(-m^3+6 m^2-11 m+6\right)-6 c d^2 e^2 f (3-m)+6 d^3 e^3\right)\right)\right) \, _2F_1\left(m-3,m-2;m-1;-\frac{d (a+b x)}{b c-a d}\right)}{6 b^3 d^2 f^4 (2-m) (3-m)}-\frac{b (a+b x)^{m-2} (c+d x)^{4-m} (b (3 d e-c f (1-m))-a d f (m+2))}{6 d^2 f^2}-\frac{(b e-a f)^3 (a+b x)^{m-3} (c+d x)^{3-m} \, _2F_1\left(1,m-3;m-2;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{f^4 (3-m)}+\frac{b (b e-a f)^3 (a+b x)^{m-3} (c+d x)^{4-m}}{f^4 (3-m) (b c-a d)}+\frac{b (a+b x)^{m-1} (c+d x)^{4-m}}{3 d f}",1,"((d*e - c*f)^3*(a + b*x)^m*Hypergeometric2F1[1, m, 1 + m, ((d*e - c*f)*(a + b*x))/((b*e - a*f)*(c + d*x))])/(f^4*m*(c + d*x)^m) + (d*(b*c - a*d)^2*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[-2 + m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(b^3*f*(1 + m)*(c + d*x)^m) - (d*(b*c - a*d)*(d*e - c*f)*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[-1 + m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(b^2*f^2*(1 + m)*(c + d*x)^m) - ((d*e - c*f)^3*(a + b*x)^m*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[m, m, 1 + m, -((d*(a + b*x))/(b*c - a*d))])/(f^4*m*(c + d*x)^m) + (d*(d*e - c*f)^2*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(b*f^3*(1 + m)*(c + d*x)^m)","A",13,4,26,0.1538,1,"{105, 70, 69, 131}"
3135,1,113,0,0.0535479,"\int \frac{(a+b x)^m (c+d x)^{3-m}}{(e+f x)^2} \, dx","Int[((a + b*x)^m*(c + d*x)^(3 - m))/(e + f*x)^2,x]","\frac{(b c-a d)^3 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m F_1\left(m+1;m-3,2;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b^2 (m+1) (b e-a f)^2}","\frac{d^2 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \left(a^2 d^2 f^2 (1-m) m+2 a b d f m (2 d e-c f (3-m))+b^2 \left(-\left(c^2 f^2 \left(m^2-5 m+6\right)-4 c d e f (3-m)+6 d^2 e^2\right)\right)\right) \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{2 b^2 f^4 m (m+1) (b c-a d)}+\frac{d^2 (a+b x)^{m+1} (c+d x)^{1-m}}{2 b f^2}+\frac{(a+b x)^m (d e-c f)^2 (c+d x)^{-m} (a d f (3-m)-b (3 d e-c f m)) \, _2F_1\left(1,m;m+1;\frac{(d e-c f) (a+b x)}{(b e-a f) (c+d x)}\right)}{f^4 m (b e-a f)}+\frac{3 b d (a+b x)^m (d e-c f)^2 (c+d x)^{1-m}}{f^4 m (b c-a d)}-\frac{(a+b x)^m (d e-c f)^2 (c+d x)^{1-m}}{f^3 (e+f x)}",1,"((b*c - a*d)^3*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*AppellF1[1 + m, -3 + m, 2, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(b^2*(b*e - a*f)^2*(1 + m)*(c + d*x)^m)","C",2,2,26,0.07692,0,"{137, 136}"
3136,1,113,0,0.0497972,"\int \frac{(a+b x)^m (c+d x)^{3-m}}{(e+f x)^3} \, dx","Int[((a + b*x)^m*(c + d*x)^(3 - m))/(e + f*x)^3,x]","\frac{(b c-a d)^3 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m F_1\left(m+1;m-3,3;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b (m+1) (b e-a f)^3}","\frac{(a+b x)^m (d e-c f) (c+d x)^{-m} \left(-a^2 d^2 f^2 \left(m^2-5 m+6\right)+2 a b d f (3-m) (2 d e-c f m)+b^2 \left(-\left(-c^2 f^2 (1-m) m-4 c d e f m+6 d^2 e^2\right)\right)\right) \, _2F_1\left(1,-m;1-m;\frac{(b e-a f) (c+d x)}{(d e-c f) (a+b x)}\right)}{2 f^4 m (b e-a f)^2}+\frac{d^3 (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m (b (3 d e-c f (3-m))-a d f m) \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b f^4 m (m+1) (b c-a d)}-\frac{3 d^3 (a+b x)^{m+1} (d e-c f) (c+d x)^{-m}}{f^4 m (b c-a d)}+\frac{(a+b x)^{m+1} (d e-c f)^2 (c+d x)^{-m} (b (c f (1-m)+5 d e)-a d f (6-m))}{2 f^3 (e+f x) (b e-a f)^2}-\frac{(a+b x)^{m+1} (d e-c f)^3 (c+d x)^{-m}}{2 f^3 (e+f x)^2 (b e-a f)}",1,"((b*c - a*d)^3*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*AppellF1[1 + m, -3 + m, 3, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(b*(b*e - a*f)^3*(1 + m)*(c + d*x)^m)","C",2,2,26,0.07692,0,"{137, 136}"
3137,1,319,0,0.2707676,"\int \frac{(a+b x)^{1-n} (c+d x)^{1+n}}{b c+a d+2 b d x} \, dx","Int[((a + b*x)^(1 - n)*(c + d*x)^(1 + n))/(b*c + a*d + 2*b*d*x),x]","-\frac{(b c-a d)^2 (a+b x)^{-n} (c+d x)^n \, _2F_1\left(1,-n;1-n;-\frac{d (a+b x)}{b (c+d x)}\right)}{8 b^2 d^2 n}+\frac{(b c-a d)^2 (a+b x)^{-n} (c+d x)^n \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} \, _2F_1\left(-n,-n;1-n;-\frac{d (a+b x)}{b c-a d}\right)}{8 b^2 d^2 n}-\frac{(b c-a d) (a+b x)^{-n} (c+d x)^{n+1} \left(-\frac{d (a+b x)}{b c-a d}\right)^n \, _2F_1\left(n,n+1;n+2;\frac{b (c+d x)}{b c-a d}\right)}{4 b d^2 (n+1)}+\frac{(a+b x)^{-n} (c+d x)^{n+2} \left(-\frac{d (a+b x)}{b c-a d}\right)^n \, _2F_1\left(n,n+2;n+3;\frac{b (c+d x)}{b c-a d}\right)}{2 d^2 (n+2)}","-\frac{\left(1-2 n^2\right) (b c-a d)^2 (a+b x)^{-n} (c+d x)^n \left(-\frac{d (a+b x)}{b c-a d}\right)^n \, _2F_1\left(n-1,n;n+1;\frac{b (c+d x)}{b c-a d}\right)}{8 b^2 d^2 (1-n) n}+\frac{(b c-a d)^2 (a+b x)^{1-n} (c+d x)^{n-1} \, _2F_1\left(1,n-1;n;-\frac{b (c+d x)}{d (a+b x)}\right)}{8 b^3 d (1-n)}+\frac{(3-2 n) (b c-a d) (a+b x)^{2-n} (c+d x)^{n-1}}{8 b^3 (1-n)}+\frac{d (a+b x)^{3-n} (c+d x)^{n-1}}{4 b^3}",1,"-((b*c - a*d)^2*(c + d*x)^n*Hypergeometric2F1[1, -n, 1 - n, -((d*(a + b*x))/(b*(c + d*x)))])/(8*b^2*d^2*n*(a + b*x)^n) + ((b*c - a*d)^2*(c + d*x)^n*Hypergeometric2F1[-n, -n, 1 - n, -((d*(a + b*x))/(b*c - a*d))])/(8*b^2*d^2*n*(a + b*x)^n*((b*(c + d*x))/(b*c - a*d))^n) - ((b*c - a*d)*(-((d*(a + b*x))/(b*c - a*d)))^n*(c + d*x)^(1 + n)*Hypergeometric2F1[n, 1 + n, 2 + n, (b*(c + d*x))/(b*c - a*d)])/(4*b*d^2*(1 + n)*(a + b*x)^n) + ((-((d*(a + b*x))/(b*c - a*d)))^n*(c + d*x)^(2 + n)*Hypergeometric2F1[n, 2 + n, 3 + n, (b*(c + d*x))/(b*c - a*d)])/(2*d^2*(2 + n)*(a + b*x)^n)","A",10,4,35,0.1143,1,"{105, 70, 69, 131}"
3138,1,113,0,0.0781424,"\int \frac{(a+b x)^{1-n} (c+d x)^{1+n}}{(b c+a d+2 b d x)^2} \, dx","Int[((a + b*x)^(1 - n)*(c + d*x)^(1 + n))/(b*c + a*d + 2*b*d*x)^2,x]","\frac{(a+b x)^{2-n} (c+d x)^n \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} F_1\left(2-n;-n-1,2;3-n;-\frac{d (a+b x)}{b c-a d},-\frac{2 d (a+b x)}{b c-a d}\right)}{b^2 (2-n) (b c-a d)}","\frac{(a+b x)^{-n} (c+d x)^{n+1} \left(-\frac{d (a+b x)}{b c-a d}\right)^n \, _2F_1\left(n,n+1;n+2;\frac{b (c+d x)}{b c-a d}\right)}{4 b d^2 (n+1)}-\frac{(b c-a d) (a+b x)^{1-n} (c+d x)^{n-1} \, _2F_1\left(2,1-n;2-n;-\frac{d (a+b x)}{b (c+d x)}\right)}{4 b^3 d (1-n)}",1,"((a + b*x)^(2 - n)*(c + d*x)^n*AppellF1[2 - n, -1 - n, 2, 3 - n, -((d*(a + b*x))/(b*c - a*d)), (-2*d*(a + b*x))/(b*c - a*d)])/(b^2*(b*c - a*d)*(2 - n)*((b*(c + d*x))/(b*c - a*d))^n)","C",2,2,35,0.05714,0,"{137, 136}"
3139,1,113,0,0.071605,"\int \frac{(a+b x)^{1-n} (c+d x)^{1+n}}{(b c+a d+2 b d x)^3} \, dx","Int[((a + b*x)^(1 - n)*(c + d*x)^(1 + n))/(b*c + a*d + 2*b*d*x)^3,x]","\frac{(a+b x)^{2-n} (c+d x)^n \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} F_1\left(2-n;-n-1,3;3-n;-\frac{d (a+b x)}{b c-a d},-\frac{2 d (a+b x)}{b c-a d}\right)}{b^2 (2-n) (b c-a d)^2}","-\frac{\left(1-2 n^2\right) (a+b x)^{-n} (c+d x)^n \, _2F_1\left(1,n;n+1;-\frac{b (c+d x)}{d (a+b x)}\right)}{8 b^2 d^2 n}+\frac{(a+b x)^{-n} (c+d x)^n \left(-\frac{d (a+b x)}{b c-a d}\right)^n \, _2F_1\left(n,n;n+1;\frac{b (c+d x)}{b c-a d}\right)}{8 b^2 d^2 n}-\frac{(2 n+1) (a+b x)^{1-n} (c+d x)^n}{8 b^2 d (a d+b c+2 b d x)}-\frac{(b c-a d) (a+b x)^{1-n} (c+d x)^n}{8 b^2 d (a d+b c+2 b d x)^2}",1,"((a + b*x)^(2 - n)*(c + d*x)^n*AppellF1[2 - n, -1 - n, 3, 3 - n, -((d*(a + b*x))/(b*c - a*d)), (-2*d*(a + b*x))/(b*c - a*d)])/(b^2*(b*c - a*d)^2*(2 - n)*((b*(c + d*x))/(b*c - a*d))^n)","C",2,2,35,0.05714,0,"{137, 136}"
3140,1,71,0,0.0288944,"\int \frac{(a+b x)^{1-n} (c+d x)^{1+n}}{(b c+a d+2 b d x)^4} \, dx","Int[((a + b*x)^(1 - n)*(c + d*x)^(1 + n))/(b*c + a*d + 2*b*d*x)^4,x]","\frac{(a+b x)^{2-n} (c+d x)^{n-2} \, _2F_1\left(4,2-n;3-n;-\frac{d (a+b x)}{b (c+d x)}\right)}{b^4 (2-n) (b c-a d)}","\frac{(a+b x)^{2-n} (c+d x)^{n-2} \, _2F_1\left(4,2-n;3-n;-\frac{d (a+b x)}{b (c+d x)}\right)}{b^4 (2-n) (b c-a d)}",1,"((a + b*x)^(2 - n)*(c + d*x)^(-2 + n)*Hypergeometric2F1[4, 2 - n, 3 - n, -((d*(a + b*x))/(b*(c + d*x)))])/(b^4*(b*c - a*d)*(2 - n))","A",1,1,35,0.02857,1,"{131}"
3141,1,314,0,0.2685926,"\int \frac{(a+b x)^m (c+d x)^{2-m}}{b c+a d+2 b d x} \, dx","Int[((a + b*x)^m*(c + d*x)^(2 - m))/(b*c + a*d + 2*b*d*x),x]","-\frac{(b c-a d)^2 (a+b x)^m (c+d x)^{-m} \, _2F_1\left(1,m;m+1;-\frac{d (a+b x)}{b (c+d x)}\right)}{8 b^3 d m}+\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m-1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{2 b^3 (m+1)}+\frac{(b c-a d)^2 (a+b x)^m (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m,m;m+1;-\frac{d (a+b x)}{b c-a d}\right)}{8 b^3 d m}+\frac{(b c-a d) (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{4 b^3 (m+1)}","-\frac{\left(2 m^2-4 m+1\right) (b c-a d) (a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{8 b^3 m (m+1)}+\frac{(b c-a d)^2 (a+b x)^m (c+d x)^{-m} \, _2F_1\left(1,-m;1-m;-\frac{b (c+d x)}{d (a+b x)}\right)}{8 b^3 d m}+\frac{(2 m+1) (b c-a d) (a+b x)^{m+1} (c+d x)^{-m}}{8 b^3 m}+\frac{d (a+b x)^{m+2} (c+d x)^{-m}}{4 b^3}",1,"-((b*c - a*d)^2*(a + b*x)^m*Hypergeometric2F1[1, m, 1 + m, -((d*(a + b*x))/(b*(c + d*x)))])/(8*b^3*d*m*(c + d*x)^m) + ((b*c - a*d)*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[-1 + m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(2*b^3*(1 + m)*(c + d*x)^m) + ((b*c - a*d)^2*(a + b*x)^m*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[m, m, 1 + m, -((d*(a + b*x))/(b*c - a*d))])/(8*b^3*d*m*(c + d*x)^m) + ((b*c - a*d)*(a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*Hypergeometric2F1[m, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(4*b^3*(1 + m)*(c + d*x)^m)","A",10,4,33,0.1212,1,"{105, 70, 69, 131}"
3142,1,93,0,0.0613228,"\int \frac{(a+b x)^m (c+d x)^{2-m}}{(b c+a d+2 b d x)^2} \, dx","Int[((a + b*x)^m*(c + d*x)^(2 - m))/(b*c + a*d + 2*b*d*x)^2,x]","\frac{(a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m F_1\left(m+1;m-2,2;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{2 d (a+b x)}{b c-a d}\right)}{b^3 (m+1)}","\frac{(b c-a d) (a+b x)^m (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m-1,m;m+1;-\frac{d (a+b x)}{b c-a d}\right)}{4 b^3 d m}-\frac{(b c-a d) (a+b x)^m (c+d x)^{-m} \, _2F_1\left(2,m;m+1;-\frac{d (a+b x)}{b (c+d x)}\right)}{4 b^3 d m}",1,"((a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*AppellF1[1 + m, -2 + m, 2, 2 + m, -((d*(a + b*x))/(b*c - a*d)), (-2*d*(a + b*x))/(b*c - a*d)])/(b^3*(1 + m)*(c + d*x)^m)","C",2,2,33,0.06061,0,"{137, 136}"
3143,1,103,0,0.0659831,"\int \frac{(a+b x)^m (c+d x)^{2-m}}{(b c+a d+2 b d x)^3} \, dx","Int[((a + b*x)^m*(c + d*x)^(2 - m))/(b*c + a*d + 2*b*d*x)^3,x]","\frac{(a+b x)^{m+1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m F_1\left(m+1;m-2,3;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{2 d (a+b x)}{b c-a d}\right)}{b^3 (m+1) (b c-a d)}","-\frac{\left(2 m^2-4 m+1\right) (a+b x)^{m-1} (c+d x)^{1-m} \, _2F_1\left(1,m-1;m;-\frac{d (a+b x)}{b (c+d x)}\right)}{8 b^2 d^2 (1-m)}-\frac{(b c-a d) (a+b x)^{m-1} (c+d x)^{-m} \left(\frac{b (c+d x)}{b c-a d}\right)^m \, _2F_1\left(m-1,m-1;m;-\frac{d (a+b x)}{b c-a d}\right)}{8 b^3 d^2 (1-m)}+\frac{(1-2 m) (a+b x)^{m-1} (c+d x)^{2-m}}{8 b d^2 (a d+b c+2 b d x)}+\frac{(b c-a d) (a+b x)^{m-1} (c+d x)^{2-m}}{8 b d^2 (a d+b c+2 b d x)^2}",1,"((a + b*x)^(1 + m)*((b*(c + d*x))/(b*c - a*d))^m*AppellF1[1 + m, -2 + m, 3, 2 + m, -((d*(a + b*x))/(b*c - a*d)), (-2*d*(a + b*x))/(b*c - a*d)])/(b^3*(b*c - a*d)*(1 + m)*(c + d*x)^m)","C",2,2,33,0.06061,0,"{137, 136}"
3144,1,65,0,0.0254304,"\int \frac{(a+b x)^m (c+d x)^{2-m}}{(b c+a d+2 b d x)^4} \, dx","Int[((a + b*x)^m*(c + d*x)^(2 - m))/(b*c + a*d + 2*b*d*x)^4,x]","\frac{(a+b x)^{m+1} (c+d x)^{-m-1} \, _2F_1\left(4,m+1;m+2;-\frac{d (a+b x)}{b (c+d x)}\right)}{b^4 (m+1) (b c-a d)}","\frac{(a+b x)^{m+1} (c+d x)^{-m-1} \, _2F_1\left(4,m+1;m+2;-\frac{d (a+b x)}{b (c+d x)}\right)}{b^4 (m+1) (b c-a d)}",1,"((a + b*x)^(1 + m)*(c + d*x)^(-1 - m)*Hypergeometric2F1[4, 1 + m, 2 + m, -((d*(a + b*x))/(b*(c + d*x)))])/(b^4*(b*c - a*d)*(1 + m))","A",1,1,33,0.03030,1,"{131}"
3145,1,139,0,0.0901433,"\int (a+b x)^m (c+d x)^{-m-n} (e+f x)^{n+p} \, dx","Int[(a + b*x)^m*(c + d*x)^(-m - n)*(e + f*x)^(n + p),x]","\frac{(a+b x)^{m+1} (c+d x)^{-m-n} (e+f x)^{n+p} \left(\frac{b (c+d x)}{b c-a d}\right)^{m+n} \left(\frac{b (e+f x)}{b e-a f}\right)^{-n-p} F_1\left(m+1;m+n,-n-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b (m+1)}","\frac{(a+b x)^{m+1} (c+d x)^{-m-n} (e+f x)^{n+p} \left(\frac{b (c+d x)}{b c-a d}\right)^{m+n} \left(\frac{b (e+f x)}{b e-a f}\right)^{-n-p} F_1\left(m+1;m+n,-n-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b (m+1)}",1,"((a + b*x)^(1 + m)*(c + d*x)^(-m - n)*((b*(c + d*x))/(b*c - a*d))^(m + n)*(e + f*x)^(n + p)*((b*(e + f*x))/(b*e - a*f))^(-n - p)*AppellF1[1 + m, m + n, -n - p, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(b*(1 + m))","A",3,3,30,0.1000,1,"{140, 139, 138}"
3146,1,139,0,0.093506,"\int (a+b x)^m (c+d x)^{-m-n} (e+f x)^{1+n} \, dx","Int[(a + b*x)^m*(c + d*x)^(-m - n)*(e + f*x)^(1 + n),x]","\frac{(b e-a f) (a+b x)^{m+1} (e+f x)^n (c+d x)^{-m-n} \left(\frac{b (e+f x)}{b e-a f}\right)^{-n} \left(\frac{b (c+d x)}{b c-a d}\right)^{m+n} F_1\left(m+1;m+n,-n-1;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b^2 (m+1)}","\frac{(b e-a f) (a+b x)^{m+1} (e+f x)^n (c+d x)^{-m-n} \left(\frac{b (e+f x)}{b e-a f}\right)^{-n} \left(\frac{b (c+d x)}{b c-a d}\right)^{m+n} F_1\left(m+1;m+n,-n-1;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b^2 (m+1)}",1,"((b*e - a*f)*(a + b*x)^(1 + m)*(c + d*x)^(-m - n)*((b*(c + d*x))/(b*c - a*d))^(m + n)*(e + f*x)^n*AppellF1[1 + m, m + n, -1 - n, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(b^2*(1 + m)*((b*(e + f*x))/(b*e - a*f))^n)","A",3,3,30,0.1000,1,"{140, 139, 138}"
3147,1,129,0,0.0803059,"\int (a+b x)^m (c+d x)^{-m-n} (e+f x)^n \, dx","Int[(a + b*x)^m*(c + d*x)^(-m - n)*(e + f*x)^n,x]","\frac{(a+b x)^{m+1} (e+f x)^n (c+d x)^{-m-n} \left(\frac{b (e+f x)}{b e-a f}\right)^{-n} \left(\frac{b (c+d x)}{b c-a d}\right)^{m+n} F_1\left(m+1;m+n,-n;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b (m+1)}","\frac{(a+b x)^{m+1} (e+f x)^n (c+d x)^{-m-n} \left(\frac{b (e+f x)}{b e-a f}\right)^{-n} \left(\frac{b (c+d x)}{b c-a d}\right)^{m+n} F_1\left(m+1;m+n,-n;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b (m+1)}",1,"((a + b*x)^(1 + m)*(c + d*x)^(-m - n)*((b*(c + d*x))/(b*c - a*d))^(m + n)*(e + f*x)^n*AppellF1[1 + m, m + n, -n, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(b*(1 + m)*((b*(e + f*x))/(b*e - a*f))^n)","A",3,3,28,0.1071,1,"{140, 139, 138}"
3148,1,138,0,0.088387,"\int (a+b x)^m (c+d x)^{-m-n} (e+f x)^{-1+n} \, dx","Int[(a + b*x)^m*(c + d*x)^(-m - n)*(e + f*x)^(-1 + n),x]","\frac{(a+b x)^{m+1} (e+f x)^n (c+d x)^{-m-n} \left(\frac{b (e+f x)}{b e-a f}\right)^{-n} \left(\frac{b (c+d x)}{b c-a d}\right)^{m+n} F_1\left(m+1;m+n,1-n;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)}","\frac{(a+b x)^{m+1} (e+f x)^n (c+d x)^{-m-n} \left(\frac{b (e+f x)}{b e-a f}\right)^{-n} \left(\frac{b (c+d x)}{b c-a d}\right)^{m+n} F_1\left(m+1;m+n,1-n;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)}",1,"((a + b*x)^(1 + m)*(c + d*x)^(-m - n)*((b*(c + d*x))/(b*c - a*d))^(m + n)*(e + f*x)^n*AppellF1[1 + m, m + n, 1 - n, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/((b*e - a*f)*(1 + m)*((b*(e + f*x))/(b*e - a*f))^n)","A",3,3,30,0.1000,1,"{140, 139, 138}"
3149,1,124,0,0.0254808,"\int (a+b x)^m (c+d x)^{-m-n} (e+f x)^{-2+n} \, dx","Int[(a + b*x)^m*(c + d*x)^(-m - n)*(e + f*x)^(-2 + n),x]","\frac{(a+b x)^{m+1} (e+f x)^{n-1} (c+d x)^{-m-n} \left(\frac{(c+d x) (b e-a f)}{(e+f x) (b c-a d)}\right)^{m+n} \, _2F_1\left(m+1,m+n;m+2;-\frac{(d e-c f) (a+b x)}{(b c-a d) (e+f x)}\right)}{(m+1) (b e-a f)}","\frac{(a+b x)^{m+1} (e+f x)^{n-1} (c+d x)^{-m-n} \left(\frac{(c+d x) (b e-a f)}{(e+f x) (b c-a d)}\right)^{m+n} \, _2F_1\left(m+1,m+n;m+2;-\frac{(d e-c f) (a+b x)}{(b c-a d) (e+f x)}\right)}{(m+1) (b e-a f)}",1,"((a + b*x)^(1 + m)*(c + d*x)^(-m - n)*(((b*e - a*f)*(c + d*x))/((b*c - a*d)*(e + f*x)))^(m + n)*(e + f*x)^(-1 + n)*Hypergeometric2F1[1 + m, m + n, 2 + m, -(((d*e - c*f)*(a + b*x))/((b*c - a*d)*(e + f*x)))])/((b*e - a*f)*(1 + m))","A",1,1,30,0.03333,1,"{132}"
3150,1,235,0,0.0894516,"\int (a+b x)^m (c+d x)^{-m-n} (e+f x)^{-3+n} \, dx","Int[(a + b*x)^m*(c + d*x)^(-m - n)*(e + f*x)^(-3 + n),x]","-\frac{(a+b x)^{m+1} (e+f x)^{n-1} (c+d x)^{-m-n} (a d f (m+1)+b c f (-m-n+1)-b d e (2-n)) \left(\frac{(c+d x) (b e-a f)}{(e+f x) (b c-a d)}\right)^{m+n} \, _2F_1\left(m+1,m+n;m+2;-\frac{(d e-c f) (a+b x)}{(b c-a d) (e+f x)}\right)}{(m+1) (2-n) (b e-a f)^2 (d e-c f)}-\frac{f (a+b x)^{m+1} (e+f x)^{n-2} (c+d x)^{-m-n+1}}{(2-n) (b e-a f) (d e-c f)}","-\frac{(a+b x)^{m+1} (e+f x)^{n-1} (c+d x)^{-m-n} (a d f (m+1)-b (d e (2-n)-c f (-m-n+1))) \left(\frac{(c+d x) (b e-a f)}{(e+f x) (b c-a d)}\right)^{m+n} \, _2F_1\left(m+1,m+n;m+2;-\frac{(d e-c f) (a+b x)}{(b c-a d) (e+f x)}\right)}{(m+1) (2-n) (b e-a f)^2 (d e-c f)}-\frac{f (a+b x)^{m+1} (e+f x)^{n-2} (c+d x)^{-m-n+1}}{(2-n) (b e-a f) (d e-c f)}",1,"-((f*(a + b*x)^(1 + m)*(c + d*x)^(1 - m - n)*(e + f*x)^(-2 + n))/((b*e - a*f)*(d*e - c*f)*(2 - n))) - ((a*d*f*(1 + m) - b*d*e*(2 - n) + b*c*f*(1 - m - n))*(a + b*x)^(1 + m)*(c + d*x)^(-m - n)*(((b*e - a*f)*(c + d*x))/((b*c - a*d)*(e + f*x)))^(m + n)*(e + f*x)^(-1 + n)*Hypergeometric2F1[1 + m, m + n, 2 + m, -(((d*e - c*f)*(a + b*x))/((b*c - a*d)*(e + f*x)))])/((b*e - a*f)^2*(d*e - c*f)*(1 + m)*(2 - n))","A",2,2,30,0.06667,1,"{96, 132}"
3151,1,426,0,0.5263383,"\int (a+b x)^m (c+d x)^{-m-n} (e+f x)^{-4+n} \, dx","Int[(a + b*x)^m*(c + d*x)^(-m - n)*(e + f*x)^(-4 + n),x]","\frac{(a+b x)^{m+1} (e+f x)^{n-1} (c+d x)^{-m-n} \left(a^2 d^2 f^2 \left(m^2+3 m+2\right)-2 a b d f (m+1) (d e (3-n)-c f (-m-n+1))+b^2 \left(-\left(-c^2 f^2 \left(m^2-m (3-2 n)+n^2-3 n+2\right)+2 c d e f (3-n) (-m-n+1)-d^2 e^2 \left(n^2-5 n+6\right)\right)\right)\right) \left(\frac{(c+d x) (b e-a f)}{(e+f x) (b c-a d)}\right)^{m+n} \, _2F_1\left(m+1,m+n;m+2;-\frac{(d e-c f) (a+b x)}{(b c-a d) (e+f x)}\right)}{(m+1) (2-n) (3-n) (b e-a f)^3 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (e+f x)^{n-3} (c+d x)^{-m-n+1}}{(3-n) (b e-a f) (d e-c f)}+\frac{f (a+b x)^{m+1} (e+f x)^{n-2} (c+d x)^{-m-n+1} (a d f (m+2)+b c f (-m-n+2)-b d e (4-n))}{(2-n) (3-n) (b e-a f)^2 (d e-c f)^2}","\frac{(a+b x)^{m+1} (e+f x)^{n-1} (c+d x)^{-m-n} \left(a^2 d^2 f^2 \left(m^2+3 m+2\right)-2 a b d f (m+1) (d e (3-n)-c f (-m-n+1))+b^2 \left(-\left(-c^2 f^2 \left(m^2-m (3-2 n)+n^2-3 n+2\right)+2 c d e f (3-n) (-m-n+1)-d^2 e^2 \left(n^2-5 n+6\right)\right)\right)\right) \left(\frac{(c+d x) (b e-a f)}{(e+f x) (b c-a d)}\right)^{m+n} \, _2F_1\left(m+1,m+n;m+2;-\frac{(d e-c f) (a+b x)}{(b c-a d) (e+f x)}\right)}{(m+1) (2-n) (3-n) (b e-a f)^3 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (e+f x)^{n-3} (c+d x)^{-m-n+1}}{(3-n) (b e-a f) (d e-c f)}+\frac{f (a+b x)^{m+1} (e+f x)^{n-2} (c+d x)^{-m-n+1} (a d f (m+2)-b (d e (4-n)-c f (-m-n+2)))}{(2-n) (3-n) (b e-a f)^2 (d e-c f)^2}",1,"-((f*(a + b*x)^(1 + m)*(c + d*x)^(1 - m - n)*(e + f*x)^(-3 + n))/((b*e - a*f)*(d*e - c*f)*(3 - n))) + (f*(a*d*f*(2 + m) - b*d*e*(4 - n) + b*c*f*(2 - m - n))*(a + b*x)^(1 + m)*(c + d*x)^(1 - m - n)*(e + f*x)^(-2 + n))/((b*e - a*f)^2*(d*e - c*f)^2*(2 - n)*(3 - n)) + ((a^2*d^2*f^2*(2 + 3*m + m^2) - 2*a*b*d*f*(1 + m)*(d*e*(3 - n) - c*f*(1 - m - n)) - b^2*(2*c*d*e*f*(3 - n)*(1 - m - n) - d^2*e^2*(6 - 5*n + n^2) - c^2*f^2*(2 + m^2 - m*(3 - 2*n) - 3*n + n^2)))*(a + b*x)^(1 + m)*(c + d*x)^(-m - n)*(((b*e - a*f)*(c + d*x))/((b*c - a*d)*(e + f*x)))^(m + n)*(e + f*x)^(-1 + n)*Hypergeometric2F1[1 + m, m + n, 2 + m, -(((d*e - c*f)*(a + b*x))/((b*c - a*d)*(e + f*x)))])/((b*e - a*f)^3*(d*e - c*f)^2*(1 + m)*(2 - n)*(3 - n))","A",4,4,30,0.1333,1,"{129, 155, 12, 132}"
3152,1,88,0,0.0359502,"\int (a+b x)^m (c+d x)^n \left(\frac{b c f+a d f+a d f m+b c f n}{b d (2+m+n)}+f x\right)^{-3-m-n} \, dx","Int[(a + b*x)^m*(c + d*x)^n*((b*c*f + a*d*f + a*d*f*m + b*c*f*n)/(b*d*(2 + m + n)) + f*x)^(-3 - m - n),x]","\frac{b d (m+n+2) (a+b x)^{m+1} (c+d x)^{n+1} \left(\frac{f (a d (m+1)+b c (n+1))}{b d (m+n+2)}+f x\right)^{-m-n-2}}{f (m+1) (n+1) (b c-a d)^2}","\frac{b d (m+n+2) (a+b x)^{m+1} (c+d x)^{n+1} \left(\frac{f (a d (m+1)+b c (n+1))}{b d (m+n+2)}+f x\right)^{-m-n-2}}{f (m+1) (n+1) (b c-a d)^2}",1,"(b*d*(2 + m + n)*(a + b*x)^(1 + m)*(c + d*x)^(1 + n)*((f*(a*d*(1 + m) + b*c*(1 + n)))/(b*d*(2 + m + n)) + f*x)^(-2 - m - n))/((b*c - a*d)^2*f*(1 + m)*(1 + n))","A",1,1,60,0.01667,1,"{95}"
3153,1,101,0,0.033537,"\int (a+b x)^m (c+d x)^{-1-\frac{d (b e-a f) (1+m)}{b (d e-c f)}} (e+f x)^{-1+\frac{(b c-a d) f (1+m)}{b (d e-c f)}} \, dx","Int[(a + b*x)^m*(c + d*x)^(-1 - (d*(b*e - a*f)*(1 + m))/(b*(d*e - c*f)))*(e + f*x)^(-1 + ((b*c - a*d)*f*(1 + m))/(b*(d*e - c*f))),x]","\frac{b (a+b x)^{m+1} (c+d x)^{-\frac{d (m+1) (b e-a f)}{b (d e-c f)}} (e+f x)^{\frac{f (m+1) (b c-a d)}{b (d e-c f)}}}{(m+1) (b c-a d) (b e-a f)}","\frac{b (a+b x)^{m+1} (c+d x)^{-\frac{d (m+1) (b e-a f)}{b (d e-c f)}} (e+f x)^{\frac{f (m+1) (b c-a d)}{b (d e-c f)}}}{(m+1) (b c-a d) (b e-a f)}",1,"(b*(a + b*x)^(1 + m)*(e + f*x)^(((b*c - a*d)*f*(1 + m))/(b*(d*e - c*f))))/((b*c - a*d)*(b*e - a*f)*(1 + m)*(c + d*x)^((d*(b*e - a*f)*(1 + m))/(b*(d*e - c*f))))","A",1,1,77,0.01299,1,"{95}"
3154,1,129,0,0.0879524,"\int (a+b x)^m (c+d x)^n (e+f x)^{-m-n} \, dx","Int[(a + b*x)^m*(c + d*x)^n*(e + f*x)^(-m - n),x]","\frac{(a+b x)^{m+1} (c+d x)^n (e+f x)^{-m-n} \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} \left(\frac{b (e+f x)}{b e-a f}\right)^{m+n} F_1\left(m+1;-n,m+n;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b (m+1)}","\frac{(a+b x)^{m+1} (c+d x)^n (e+f x)^{-m-n} \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} \left(\frac{b (e+f x)}{b e-a f}\right)^{m+n} F_1\left(m+1;-n,m+n;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b (m+1)}",1,"((a + b*x)^(1 + m)*(c + d*x)^n*(e + f*x)^(-m - n)*((b*(e + f*x))/(b*e - a*f))^(m + n)*AppellF1[1 + m, -n, m + n, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(b*(1 + m)*((b*(c + d*x))/(b*c - a*d))^n)","A",3,3,28,0.1071,1,"{140, 139, 138}"
3155,1,137,0,0.0849411,"\int (a+b x)^m (c+d x)^n (e+f x)^{-1-m-n} \, dx","Int[(a + b*x)^m*(c + d*x)^n*(e + f*x)^(-1 - m - n),x]","\frac{(a+b x)^{m+1} (c+d x)^n (e+f x)^{-m-n} \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} \left(\frac{b (e+f x)}{b e-a f}\right)^{m+n} F_1\left(m+1;-n,m+n+1;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)}","\frac{(a+b x)^{m+1} (c+d x)^n (e+f x)^{-m-n} \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} \left(\frac{b (e+f x)}{b e-a f}\right)^{m+n} F_1\left(m+1;-n,m+n+1;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)}",1,"((a + b*x)^(1 + m)*(c + d*x)^n*(e + f*x)^(-m - n)*((b*(e + f*x))/(b*e - a*f))^(m + n)*AppellF1[1 + m, -n, 1 + m + n, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/((b*e - a*f)*(1 + m)*((b*(c + d*x))/(b*c - a*d))^n)","A",3,3,29,0.1034,1,"{140, 139, 138}"
3156,1,123,0,0.0209132,"\int (a+b x)^m (c+d x)^n (e+f x)^{-2-m-n} \, dx","Int[(a + b*x)^m*(c + d*x)^n*(e + f*x)^(-2 - m - n),x]","\frac{(a+b x)^{m+1} (c+d x)^n (e+f x)^{-m-n-1} \left(\frac{(c+d x) (b e-a f)}{(e+f x) (b c-a d)}\right)^{-n} \, _2F_1\left(m+1,-n;m+2;-\frac{(d e-c f) (a+b x)}{(b c-a d) (e+f x)}\right)}{(m+1) (b e-a f)}","\frac{(a+b x)^{m+1} (c+d x)^n (e+f x)^{-m-n-1} \left(\frac{(c+d x) (b e-a f)}{(e+f x) (b c-a d)}\right)^{-n} \, _2F_1\left(m+1,-n;m+2;-\frac{(d e-c f) (a+b x)}{(b c-a d) (e+f x)}\right)}{(m+1) (b e-a f)}",1,"((a + b*x)^(1 + m)*(c + d*x)^n*(e + f*x)^(-1 - m - n)*Hypergeometric2F1[1 + m, -n, 2 + m, -(((d*e - c*f)*(a + b*x))/((b*c - a*d)*(e + f*x)))])/((b*e - a*f)*(1 + m)*(((b*e - a*f)*(c + d*x))/((b*c - a*d)*(e + f*x)))^n)","A",1,1,29,0.03448,1,"{132}"
3157,1,226,0,0.0923067,"\int (a+b x)^m (c+d x)^n (e+f x)^{-3-m-n} \, dx","Int[(a + b*x)^m*(c + d*x)^n*(e + f*x)^(-3 - m - n),x]","-\frac{(a+b x)^{m+1} (c+d x)^n (e+f x)^{-m-n-1} (a d f (m+1)+b c f (n+1)-b d e (m+n+2)) \left(\frac{(c+d x) (b e-a f)}{(e+f x) (b c-a d)}\right)^{-n} \, _2F_1\left(m+1,-n;m+2;-\frac{(d e-c f) (a+b x)}{(b c-a d) (e+f x)}\right)}{(m+1) (m+n+2) (b e-a f)^2 (d e-c f)}-\frac{f (a+b x)^{m+1} (c+d x)^{n+1} (e+f x)^{-m-n-2}}{(m+n+2) (b e-a f) (d e-c f)}","-\frac{(a+b x)^{m+1} (c+d x)^n (e+f x)^{-m-n-1} (a d f (m+1)+b (c f (n+1)-d e (m+n+2))) \left(\frac{(c+d x) (b e-a f)}{(e+f x) (b c-a d)}\right)^{-n} \, _2F_1\left(m+1,-n;m+2;-\frac{(d e-c f) (a+b x)}{(b c-a d) (e+f x)}\right)}{(m+1) (m+n+2) (b e-a f)^2 (d e-c f)}-\frac{f (a+b x)^{m+1} (c+d x)^{n+1} (e+f x)^{-m-n-2}}{(m+n+2) (b e-a f) (d e-c f)}",1,"-((f*(a + b*x)^(1 + m)*(c + d*x)^(1 + n)*(e + f*x)^(-2 - m - n))/((b*e - a*f)*(d*e - c*f)*(2 + m + n))) - ((a*d*f*(1 + m) + b*c*f*(1 + n) - b*d*e*(2 + m + n))*(a + b*x)^(1 + m)*(c + d*x)^n*(e + f*x)^(-1 - m - n)*Hypergeometric2F1[1 + m, -n, 2 + m, -(((d*e - c*f)*(a + b*x))/((b*c - a*d)*(e + f*x)))])/((b*e - a*f)^2*(d*e - c*f)*(1 + m)*(2 + m + n)*(((b*e - a*f)*(c + d*x))/((b*c - a*d)*(e + f*x)))^n)","A",2,2,29,0.06897,1,"{96, 132}"
3158,1,401,0,0.5383465,"\int (a+b x)^m (c+d x)^n (e+f x)^{-4-m-n} \, dx","Int[(a + b*x)^m*(c + d*x)^n*(e + f*x)^(-4 - m - n),x]","\frac{(a+b x)^{m+1} (c+d x)^n (e+f x)^{-m-n-1} \left(a^2 d^2 f^2 \left(m^2+3 m+2\right)+2 a b d f (m+1) (c f (n+1)-d e (m+n+3))+b^2 \left(-\left(-c^2 f^2 \left(n^2+3 n+2\right)+2 c d e f (n+1) (m+n+3)-d^2 e^2 \left(m^2+m (2 n+5)+n^2+5 n+6\right)\right)\right)\right) \left(\frac{(c+d x) (b e-a f)}{(e+f x) (b c-a d)}\right)^{-n} \, _2F_1\left(m+1,-n;m+2;-\frac{(d e-c f) (a+b x)}{(b c-a d) (e+f x)}\right)}{(m+1) (m+n+2) (m+n+3) (b e-a f)^3 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{n+1} (e+f x)^{-m-n-3}}{(m+n+3) (b e-a f) (d e-c f)}+\frac{f (a+b x)^{m+1} (c+d x)^{n+1} (e+f x)^{-m-n-2} (a d f (m+2)+b c f (n+2)-b d e (m+n+4))}{(m+n+2) (m+n+3) (b e-a f)^2 (d e-c f)^2}","\frac{(a+b x)^{m+1} (c+d x)^n (e+f x)^{-m-n-1} \left(a^2 d^2 f^2 \left(m^2+3 m+2\right)+2 a b d f (m+1) (c f (n+1)-d e (m+n+3))+b^2 \left(-\left(-c^2 f^2 \left(n^2+3 n+2\right)+2 c d e f (n+1) (m+n+3)-d^2 e^2 \left(m^2+m (2 n+5)+n^2+5 n+6\right)\right)\right)\right) \left(\frac{(c+d x) (b e-a f)}{(e+f x) (b c-a d)}\right)^{-n} \, _2F_1\left(m+1,-n;m+2;-\frac{(d e-c f) (a+b x)}{(b c-a d) (e+f x)}\right)}{(m+1) (m+n+2) (m+n+3) (b e-a f)^3 (d e-c f)^2}-\frac{f (a+b x)^{m+1} (c+d x)^{n+1} (e+f x)^{-m-n-3}}{(m+n+3) (b e-a f) (d e-c f)}+\frac{f (a+b x)^{m+1} (c+d x)^{n+1} (e+f x)^{-m-n-2} (a d f (m+2)+b (c f (n+2)-d e (m+n+4)))}{(m+n+2) (m+n+3) (b e-a f)^2 (d e-c f)^2}",1,"-((f*(a + b*x)^(1 + m)*(c + d*x)^(1 + n)*(e + f*x)^(-3 - m - n))/((b*e - a*f)*(d*e - c*f)*(3 + m + n))) + (f*(a*d*f*(2 + m) + b*c*f*(2 + n) - b*d*e*(4 + m + n))*(a + b*x)^(1 + m)*(c + d*x)^(1 + n)*(e + f*x)^(-2 - m - n))/((b*e - a*f)^2*(d*e - c*f)^2*(2 + m + n)*(3 + m + n)) + ((a^2*d^2*f^2*(2 + 3*m + m^2) + 2*a*b*d*f*(1 + m)*(c*f*(1 + n) - d*e*(3 + m + n)) - b^2*(2*c*d*e*f*(1 + n)*(3 + m + n) - c^2*f^2*(2 + 3*n + n^2) - d^2*e^2*(6 + m^2 + 5*n + n^2 + m*(5 + 2*n))))*(a + b*x)^(1 + m)*(c + d*x)^n*(e + f*x)^(-1 - m - n)*Hypergeometric2F1[1 + m, -n, 2 + m, -(((d*e - c*f)*(a + b*x))/((b*c - a*d)*(e + f*x)))])/((b*e - a*f)^3*(d*e - c*f)^2*(1 + m)*(2 + m + n)*(3 + m + n)*(((b*e - a*f)*(c + d*x))/((b*c - a*d)*(e + f*x)))^n)","A",4,4,29,0.1379,1,"{129, 155, 12, 132}"
3159,1,123,0,0.0851673,"\int (a+b x)^m (c+d x)^n (e+f x)^p \, dx","Int[(a + b*x)^m*(c + d*x)^n*(e + f*x)^p,x]","\frac{(a+b x)^{m+1} (c+d x)^n (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;-n,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b (m+1)}","\frac{(a+b x)^{m+1} (c+d x)^n (e+f x)^p \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} \left(\frac{b (e+f x)}{b e-a f}\right)^{-p} F_1\left(m+1;-n,-p;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b (m+1)}",1,"((a + b*x)^(1 + m)*(c + d*x)^n*(e + f*x)^p*AppellF1[1 + m, -n, -p, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(b*(1 + m)*((b*(c + d*x))/(b*c - a*d))^n*((b*(e + f*x))/(b*e - a*f))^p)","A",3,3,22,0.1364,1,"{140, 139, 138}"
3160,1,272,0,0.3400532,"\int (a+b x)^m (c+d x)^n (e+f x)^2 \, dx","Int[(a + b*x)^m*(c + d*x)^n*(e + f*x)^2,x]","\frac{(a+b x)^{m+1} (c+d x)^n \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} \left(b d (m+n+2) \left(b d e^2 (m+n+3)-f (a c f+a d e (n+1)+b c e (m+1))\right)-f (a d (n+1)+b c (m+1)) (b d e (m+n+4)-f (a d (n+2)+b c (m+2)))\right) \, _2F_1\left(m+1,-n;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b^3 d^2 (m+1) (m+n+2) (m+n+3)}+\frac{f (a+b x)^{m+1} (c+d x)^{n+1} (b d e (m+n+4)-f (a d (n+2)+b c (m+2)))}{b^2 d^2 (m+n+2) (m+n+3)}+\frac{f (e+f x) (a+b x)^{m+1} (c+d x)^{n+1}}{b d (m+n+3)}","\frac{(a+b x)^{m+1} (c+d x)^{n+1} (f (a d (n+1)+b c (m+1)) (b d e (m+n+4)-f (a d (n+2)+b c (m+2)))+b d (m+n+2) (a f (c f+d e (n+1))+b e (c f (m+1)-d e (m+n+3)))) \, _2F_1\left(1,m+n+2;n+2;\frac{b (c+d x)}{b c-a d}\right)}{b^2 d^2 (n+1) (m+n+2) (m+n+3) (b c-a d)}+\frac{f (a+b x)^{m+1} (c+d x)^{n+1} (b d e (m+n+4)-f (a d (n+2)+b c (m+2)))}{b^2 d^2 (m+n+2) (m+n+3)}+\frac{f (e+f x) (a+b x)^{m+1} (c+d x)^{n+1}}{b d (m+n+3)}",1,"(f*(b*d*e*(4 + m + n) - f*(b*c*(2 + m) + a*d*(2 + n)))*(a + b*x)^(1 + m)*(c + d*x)^(1 + n))/(b^2*d^2*(2 + m + n)*(3 + m + n)) + (f*(a + b*x)^(1 + m)*(c + d*x)^(1 + n)*(e + f*x))/(b*d*(3 + m + n)) + ((b*d*(2 + m + n)*(b*d*e^2*(3 + m + n) - f*(a*c*f + b*c*e*(1 + m) + a*d*e*(1 + n))) - f*(b*c*(1 + m) + a*d*(1 + n))*(b*d*e*(4 + m + n) - f*(b*c*(2 + m) + a*d*(2 + n))))*(a + b*x)^(1 + m)*(c + d*x)^n*Hypergeometric2F1[1 + m, -n, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(b^3*d^2*(1 + m)*(2 + m + n)*(3 + m + n)*((b*(c + d*x))/(b*c - a*d))^n)","A",4,4,22,0.1818,1,"{90, 80, 70, 69}"
3161,1,141,0,0.0776548,"\int (a+b x)^m (c+d x)^n (e+f x) \, dx","Int[(a + b*x)^m*(c + d*x)^n*(e + f*x),x]","\frac{(a+b x)^{m+1} (c+d x)^n \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} (b d e (m+n+2)-f (a d (n+1)+b c (m+1))) \, _2F_1\left(m+1,-n;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b^2 d (m+1) (m+n+2)}+\frac{f (a+b x)^{m+1} (c+d x)^{n+1}}{b d (m+n+2)}","\frac{f (a+b x)^{m+1} (c+d x)^{n+1}}{b d (m+n+2)}-\frac{(a+b x)^{m+1} (c+d x)^{n+1} (b d e (m+n+2)-f (a d (n+1)+b c (m+1))) \, _2F_1\left(1,m+n+2;n+2;\frac{b (c+d x)}{b c-a d}\right)}{b d (n+1) (m+n+2) (b c-a d)}",1,"(f*(a + b*x)^(1 + m)*(c + d*x)^(1 + n))/(b*d*(2 + m + n)) + ((b*d*e*(2 + m + n) - f*(b*c*(1 + m) + a*d*(1 + n)))*(a + b*x)^(1 + m)*(c + d*x)^n*Hypergeometric2F1[1 + m, -n, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(b^2*d*(1 + m)*(2 + m + n)*((b*(c + d*x))/(b*c - a*d))^n)","A",3,3,20,0.1500,1,"{80, 70, 69}"
3162,1,74,0,0.0237706,"\int (a+b x)^m (c+d x)^n \, dx","Int[(a + b*x)^m*(c + d*x)^n,x]","\frac{(a+b x)^{m+1} (c+d x)^n \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} \, _2F_1\left(m+1,-n;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{b (m+1)}","-\frac{(a+b x)^{m+1} (c+d x)^{n+1} \, _2F_1\left(1,m+n+2;n+2;\frac{b (c+d x)}{b c-a d}\right)}{(n+1) (b c-a d)}",1,"((a + b*x)^(1 + m)*(c + d*x)^n*Hypergeometric2F1[1 + m, -n, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/(b*(1 + m)*((b*(c + d*x))/(b*c - a*d))^n)","A",2,2,15,0.1333,1,"{70, 69}"
3163,1,100,0,0.0465268,"\int \frac{(a+b x)^m (c+d x)^n}{e+f x} \, dx","Int[((a + b*x)^m*(c + d*x)^n)/(e + f*x),x]","\frac{(a+b x)^{m+1} (c+d x)^n \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} F_1\left(m+1;-n,1;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)}","\frac{(a+b x)^{m+1} (c+d x)^n \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} F_1\left(m+1;-n,1;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)}",1,"((a + b*x)^(1 + m)*(c + d*x)^n*AppellF1[1 + m, -n, 1, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/((b*e - a*f)*(1 + m)*((b*(c + d*x))/(b*c - a*d))^n)","A",2,2,22,0.09091,1,"{137, 136}"
3164,1,101,0,0.0452203,"\int \frac{(a+b x)^m (c+d x)^n}{(e+f x)^2} \, dx","Int[((a + b*x)^m*(c + d*x)^n)/(e + f*x)^2,x]","\frac{b (a+b x)^{m+1} (c+d x)^n \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} F_1\left(m+1;-n,2;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)^2}","\frac{b (a+b x)^{m+1} (c+d x)^n \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} F_1\left(m+1;-n,2;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)^2}",1,"(b*(a + b*x)^(1 + m)*(c + d*x)^n*AppellF1[1 + m, -n, 2, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/((b*e - a*f)^2*(1 + m)*((b*(c + d*x))/(b*c - a*d))^n)","A",2,2,22,0.09091,1,"{137, 136}"
3165,1,103,0,0.0500385,"\int \frac{(a+b x)^m (c+d x)^n}{(e+f x)^3} \, dx","Int[((a + b*x)^m*(c + d*x)^n)/(e + f*x)^3,x]","\frac{b^2 (a+b x)^{m+1} (c+d x)^n \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} F_1\left(m+1;-n,3;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)^3}","\frac{b^2 (a+b x)^{m+1} (c+d x)^n \left(\frac{b (c+d x)}{b c-a d}\right)^{-n} F_1\left(m+1;-n,3;m+2;-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)^3}",1,"(b^2*(a + b*x)^(1 + m)*(c + d*x)^n*AppellF1[1 + m, -n, 3, 2 + m, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/((b*e - a*f)^3*(1 + m)*((b*(c + d*x))/(b*c - a*d))^n)","A",2,2,22,0.09091,1,"{137, 136}"
3166,1,50,0,0.0155432,"\int \frac{(3+4 x)^n}{\sqrt{1-x} \sqrt{1+x}} \, dx","Int[(3 + 4*x)^n/(Sqrt[1 - x]*Sqrt[1 + x]),x]","-\sqrt{2} 7^n \sqrt{1-x} F_1\left(\frac{1}{2};\frac{1}{2},-n;\frac{3}{2};\frac{1-x}{2},\frac{4 (1-x)}{7}\right)","-\sqrt{2} 7^n \sqrt{1-x} F_1\left(\frac{1}{2};\frac{1}{2},-n;\frac{3}{2};\frac{1-x}{2},\frac{4 (1-x)}{7}\right)",1,"-(Sqrt[2]*7^n*Sqrt[1 - x]*AppellF1[1/2, 1/2, -n, 3/2, (1 - x)/2, (4*(1 - x))/7])","A",1,1,24,0.04167,1,"{138}"
3167,1,43,0,0.0127931,"\int \frac{(3-4 x)^n}{\sqrt{1-x} \sqrt{1+x}} \, dx","Int[(3 - 4*x)^n/(Sqrt[1 - x]*Sqrt[1 + x]),x]","\sqrt{2} 7^n \sqrt{x+1} F_1\left(\frac{1}{2};-n,\frac{1}{2};\frac{3}{2};\frac{4 (x+1)}{7},\frac{x+1}{2}\right)","\sqrt{2} 7^n \sqrt{x+1} F_1\left(\frac{1}{2};-n,\frac{1}{2};\frac{3}{2};\frac{4 (x+1)}{7},\frac{x+1}{2}\right)",1,"Sqrt[2]*7^n*Sqrt[1 + x]*AppellF1[1/2, -n, 1/2, 3/2, (4*(1 + x))/7, (1 + x)/2]","A",1,1,24,0.04167,1,"{138}"
3168,1,45,0,0.0133664,"\int \frac{(-3+4 x)^n}{\sqrt{1-x} \sqrt{1+x}} \, dx","Int[(-3 + 4*x)^n/(Sqrt[1 - x]*Sqrt[1 + x]),x]","-\sqrt{2} \sqrt{1-x} F_1\left(\frac{1}{2};\frac{1}{2},-n;\frac{3}{2};\frac{1-x}{2},4 (1-x)\right)","-\sqrt{2} \sqrt{1-x} F_1\left(\frac{1}{2};\frac{1}{2},-n;\frac{3}{2};\frac{1-x}{2},4 (1-x)\right)",1,"-(Sqrt[2]*Sqrt[1 - x]*AppellF1[1/2, 1/2, -n, 3/2, (1 - x)/2, 4*(1 - x)])","A",1,1,24,0.04167,1,"{138}"
3169,1,38,0,0.0120558,"\int \frac{(-3-4 x)^n}{\sqrt{1-x} \sqrt{1+x}} \, dx","Int[(-3 - 4*x)^n/(Sqrt[1 - x]*Sqrt[1 + x]),x]","\sqrt{2} \sqrt{x+1} F_1\left(\frac{1}{2};-n,\frac{1}{2};\frac{3}{2};4 (x+1),\frac{x+1}{2}\right)","\sqrt{2} \sqrt{x+1} F_1\left(\frac{1}{2};-n,\frac{1}{2};\frac{3}{2};4 (x+1),\frac{x+1}{2}\right)",1,"Sqrt[2]*Sqrt[1 + x]*AppellF1[1/2, -n, 1/2, 3/2, 4*(1 + x), (1 + x)/2]","A",1,1,24,0.04167,1,"{138}"
3170,1,100,0,0.0363616,"\int \frac{(a+b x)^{4/3}}{\sqrt{c+d x} (e+f x)} \, dx","Int[(a + b*x)^(4/3)/(Sqrt[c + d*x]*(e + f*x)),x]","\frac{3 (a+b x)^{7/3} \sqrt{\frac{b (c+d x)}{b c-a d}} F_1\left(\frac{7}{3};\frac{1}{2},1;\frac{10}{3};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{7 \sqrt{c+d x} (b e-a f)}","\frac{3 (a+b x)^{7/3} \sqrt{\frac{b (c+d x)}{b c-a d}} F_1\left(\frac{7}{3};\frac{1}{2},1;\frac{10}{3};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{7 \sqrt{c+d x} (b e-a f)}",1,"(3*(a + b*x)^(7/3)*Sqrt[(b*(c + d*x))/(b*c - a*d)]*AppellF1[7/3, 1/2, 1, 10/3, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(7*(b*e - a*f)*Sqrt[c + d*x])","A",2,2,26,0.07692,1,"{137, 136}"
3171,1,123,0,0.0724332,"\int \frac{(c+d x)^{2/5} (e+f x)^{3/5}}{\sqrt{a+b x}} \, dx","Int[((c + d*x)^(2/5)*(e + f*x)^(3/5))/Sqrt[a + b*x],x]","\frac{2 \sqrt{a+b x} (c+d x)^{2/5} (e+f x)^{3/5} F_1\left(\frac{1}{2};-\frac{2}{5},-\frac{3}{5};\frac{3}{2};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b \left(\frac{b (c+d x)}{b c-a d}\right)^{2/5} \left(\frac{b (e+f x)}{b e-a f}\right)^{3/5}}","\frac{2 \sqrt{a+b x} (c+d x)^{2/5} (e+f x)^{3/5} F_1\left(\frac{1}{2};-\frac{2}{5},-\frac{3}{5};\frac{3}{2};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b \left(\frac{b (c+d x)}{b c-a d}\right)^{2/5} \left(\frac{b (e+f x)}{b e-a f}\right)^{3/5}}",1,"(2*Sqrt[a + b*x]*(c + d*x)^(2/5)*(e + f*x)^(3/5)*AppellF1[1/2, -2/5, -3/5, 3/2, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(b*((b*(c + d*x))/(b*c - a*d))^(2/5)*((b*(e + f*x))/(b*e - a*f))^(3/5))","A",3,3,28,0.1071,1,"{140, 139, 138}"
3172,1,123,0,0.0783641,"\int \frac{\sqrt{a+b x} (e+f x)^n}{\sqrt{c+d x}} \, dx","Int[(Sqrt[a + b*x]*(e + f*x)^n)/Sqrt[c + d*x],x]","\frac{2 (a+b x)^{3/2} (e+f x)^n \sqrt{\frac{b (c+d x)}{b c-a d}} \left(\frac{b (e+f x)}{b e-a f}\right)^{-n} F_1\left(\frac{3}{2};\frac{1}{2},-n;\frac{5}{2};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{3 b \sqrt{c+d x}}","\frac{2 (a+b x)^{3/2} (e+f x)^n \sqrt{\frac{b (c+d x)}{b c-a d}} \left(\frac{b (e+f x)}{b e-a f}\right)^{-n} F_1\left(\frac{3}{2};\frac{1}{2},-n;\frac{5}{2};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{3 b \sqrt{c+d x}}",1,"(2*(a + b*x)^(3/2)*Sqrt[(b*(c + d*x))/(b*c - a*d)]*(e + f*x)^n*AppellF1[3/2, 1/2, -n, 5/2, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(3*b*Sqrt[c + d*x]*((b*(e + f*x))/(b*e - a*f))^n)","A",3,3,26,0.1154,1,"{140, 139, 138}"
3173,1,121,0,0.0767999,"\int \frac{\sqrt{c+d x} (e+f x)^n}{\sqrt{a+b x}} \, dx","Int[(Sqrt[c + d*x]*(e + f*x)^n)/Sqrt[a + b*x],x]","\frac{2 \sqrt{a+b x} \sqrt{c+d x} (e+f x)^n \left(\frac{b (e+f x)}{b e-a f}\right)^{-n} F_1\left(\frac{1}{2};-\frac{1}{2},-n;\frac{3}{2};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b \sqrt{\frac{b (c+d x)}{b c-a d}}}","\frac{2 \sqrt{a+b x} \sqrt{c+d x} (e+f x)^n \left(\frac{b (e+f x)}{b e-a f}\right)^{-n} F_1\left(\frac{1}{2};-\frac{1}{2},-n;\frac{3}{2};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b \sqrt{\frac{b (c+d x)}{b c-a d}}}",1,"(2*Sqrt[a + b*x]*Sqrt[c + d*x]*(e + f*x)^n*AppellF1[1/2, -1/2, -n, 3/2, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(b*Sqrt[(b*(c + d*x))/(b*c - a*d)]*((b*(e + f*x))/(b*e - a*f))^n)","A",3,3,26,0.1154,1,"{140, 139, 138}"
3174,1,128,0,0.0769206,"\int \frac{(e+f x)^n}{\sqrt{a+b x} (c+d x)^{3/2}} \, dx","Int[(e + f*x)^n/(Sqrt[a + b*x]*(c + d*x)^(3/2)),x]","\frac{2 \sqrt{a+b x} (e+f x)^n \sqrt{\frac{b (c+d x)}{b c-a d}} \left(\frac{b (e+f x)}{b e-a f}\right)^{-n} F_1\left(\frac{1}{2};\frac{3}{2},-n;\frac{3}{2};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{\sqrt{c+d x} (b c-a d)}","\frac{2 \sqrt{a+b x} (e+f x)^n \sqrt{\frac{b (c+d x)}{b c-a d}} \left(\frac{b (e+f x)}{b e-a f}\right)^{-n} F_1\left(\frac{1}{2};\frac{3}{2},-n;\frac{3}{2};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{\sqrt{c+d x} (b c-a d)}",1,"(2*Sqrt[a + b*x]*Sqrt[(b*(c + d*x))/(b*c - a*d)]*(e + f*x)^n*AppellF1[1/2, 3/2, -n, 3/2, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/((b*c - a*d)*Sqrt[c + d*x]*((b*(e + f*x))/(b*e - a*f))^n)","A",3,3,26,0.1154,1,"{140, 139, 138}"
3175,1,121,0,0.0776452,"\int \frac{(e+f x)^n}{(a+b x)^{3/2} \sqrt{c+d x}} \, dx","Int[(e + f*x)^n/((a + b*x)^(3/2)*Sqrt[c + d*x]),x]","-\frac{2 (e+f x)^n \sqrt{\frac{b (c+d x)}{b c-a d}} \left(\frac{b (e+f x)}{b e-a f}\right)^{-n} F_1\left(-\frac{1}{2};\frac{1}{2},-n;\frac{1}{2};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b \sqrt{a+b x} \sqrt{c+d x}}","-\frac{2 (e+f x)^n \sqrt{\frac{b (c+d x)}{b c-a d}} \left(\frac{b (e+f x)}{b e-a f}\right)^{-n} F_1\left(-\frac{1}{2};\frac{1}{2},-n;\frac{1}{2};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{b \sqrt{a+b x} \sqrt{c+d x}}",1,"(-2*Sqrt[(b*(c + d*x))/(b*c - a*d)]*(e + f*x)^n*AppellF1[-1/2, 1/2, -n, 1/2, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(b*Sqrt[a + b*x]*Sqrt[c + d*x]*((b*(e + f*x))/(b*e - a*f))^n)","A",3,3,26,0.1154,1,"{140, 139, 138}"
3176,1,100,0,0.0372164,"\int \frac{\sqrt{a+b x} \sqrt[3]{c+d x}}{e+f x} \, dx","Int[(Sqrt[a + b*x]*(c + d*x)^(1/3))/(e + f*x),x]","\frac{2 (a+b x)^{3/2} \sqrt[3]{c+d x} F_1\left(\frac{3}{2};-\frac{1}{3},1;\frac{5}{2};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{3 (b e-a f) \sqrt[3]{\frac{b (c+d x)}{b c-a d}}}","\frac{2 (a+b x)^{3/2} \sqrt[3]{c+d x} F_1\left(\frac{3}{2};-\frac{1}{3},1;\frac{5}{2};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{3 (b e-a f) \sqrt[3]{\frac{b (c+d x)}{b c-a d}}}",1,"(2*(a + b*x)^(3/2)*(c + d*x)^(1/3)*AppellF1[3/2, -1/3, 1, 5/2, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(3*(b*e - a*f)*((b*(c + d*x))/(b*c - a*d))^(1/3))","A",2,2,26,0.07692,1,"{137, 136}"
3177,1,100,0,0.0355959,"\int \frac{\sqrt[3]{a+b x} \sqrt{c+d x}}{e+f x} \, dx","Int[((a + b*x)^(1/3)*Sqrt[c + d*x])/(e + f*x),x]","\frac{3 (a+b x)^{4/3} \sqrt{c+d x} F_1\left(\frac{4}{3};-\frac{1}{2},1;\frac{7}{3};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{4 (b e-a f) \sqrt{\frac{b (c+d x)}{b c-a d}}}","\frac{3 (a+b x)^{4/3} \sqrt{c+d x} F_1\left(\frac{4}{3};-\frac{1}{2},1;\frac{7}{3};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{4 (b e-a f) \sqrt{\frac{b (c+d x)}{b c-a d}}}",1,"(3*(a + b*x)^(4/3)*Sqrt[c + d*x]*AppellF1[4/3, -1/2, 1, 7/3, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(4*(b*e - a*f)*Sqrt[(b*(c + d*x))/(b*c - a*d)])","A",2,2,26,0.07692,1,"{137, 136}"
3178,1,125,0,0.0730139,"\int \sqrt{a+b x} \sqrt[3]{c+d x} \sqrt[4]{e+f x} \, dx","Int[Sqrt[a + b*x]*(c + d*x)^(1/3)*(e + f*x)^(1/4),x]","\frac{2 (a+b x)^{3/2} \sqrt[3]{c+d x} \sqrt[4]{e+f x} F_1\left(\frac{3}{2};-\frac{1}{3},-\frac{1}{4};\frac{5}{2};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{3 b \sqrt[3]{\frac{b (c+d x)}{b c-a d}} \sqrt[4]{\frac{b (e+f x)}{b e-a f}}}","\frac{2 (a+b x)^{3/2} \sqrt[3]{c+d x} \sqrt[4]{e+f x} F_1\left(\frac{3}{2};-\frac{1}{3},-\frac{1}{4};\frac{5}{2};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{3 b \sqrt[3]{\frac{b (c+d x)}{b c-a d}} \sqrt[4]{\frac{b (e+f x)}{b e-a f}}}",1,"(2*(a + b*x)^(3/2)*(c + d*x)^(1/3)*(e + f*x)^(1/4)*AppellF1[3/2, -1/3, -1/4, 5/2, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(3*b*((b*(c + d*x))/(b*c - a*d))^(1/3)*((b*(e + f*x))/(b*e - a*f))^(1/4))","A",3,3,28,0.1071,1,"{140, 139, 138}"
3179,1,125,0,0.0727979,"\int \sqrt[3]{a+b x} \sqrt{c+d x} \sqrt[4]{e+f x} \, dx","Int[(a + b*x)^(1/3)*Sqrt[c + d*x]*(e + f*x)^(1/4),x]","\frac{3 (a+b x)^{4/3} \sqrt{c+d x} \sqrt[4]{e+f x} F_1\left(\frac{4}{3};-\frac{1}{2},-\frac{1}{4};\frac{7}{3};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{4 b \sqrt{\frac{b (c+d x)}{b c-a d}} \sqrt[4]{\frac{b (e+f x)}{b e-a f}}}","\frac{3 (a+b x)^{4/3} \sqrt{c+d x} \sqrt[4]{e+f x} F_1\left(\frac{4}{3};-\frac{1}{2},-\frac{1}{4};\frac{7}{3};-\frac{d (a+b x)}{b c-a d},-\frac{f (a+b x)}{b e-a f}\right)}{4 b \sqrt{\frac{b (c+d x)}{b c-a d}} \sqrt[4]{\frac{b (e+f x)}{b e-a f}}}",1,"(3*(a + b*x)^(4/3)*Sqrt[c + d*x]*(e + f*x)^(1/4)*AppellF1[4/3, -1/2, -1/4, 7/3, -((d*(a + b*x))/(b*c - a*d)), -((f*(a + b*x))/(b*e - a*f))])/(4*b*Sqrt[(b*(c + d*x))/(b*c - a*d)]*((b*(e + f*x))/(b*e - a*f))^(1/4))","A",3,3,28,0.1071,1,"{140, 139, 138}"
3180,1,234,0,0.1797268,"\int (a+b x)^4 (A+B x) (d+e x)^m \, dx","Int[(a + b*x)^4*(A + B*x)*(d + e*x)^m,x]","\frac{2 b^2 (b d-a e) (d+e x)^{m+4} (-3 a B e-2 A b e+5 b B d)}{e^6 (m+4)}-\frac{b^3 (d+e x)^{m+5} (-4 a B e-A b e+5 b B d)}{e^6 (m+5)}-\frac{(b d-a e)^4 (B d-A e) (d+e x)^{m+1}}{e^6 (m+1)}+\frac{(b d-a e)^3 (d+e x)^{m+2} (-a B e-4 A b e+5 b B d)}{e^6 (m+2)}-\frac{2 b (b d-a e)^2 (d+e x)^{m+3} (-2 a B e-3 A b e+5 b B d)}{e^6 (m+3)}+\frac{b^4 B (d+e x)^{m+6}}{e^6 (m+6)}","\frac{2 b^2 (b d-a e) (d+e x)^{m+4} (-3 a B e-2 A b e+5 b B d)}{e^6 (m+4)}-\frac{b^3 (d+e x)^{m+5} (-4 a B e-A b e+5 b B d)}{e^6 (m+5)}-\frac{(b d-a e)^4 (B d-A e) (d+e x)^{m+1}}{e^6 (m+1)}+\frac{(b d-a e)^3 (d+e x)^{m+2} (-a B e-4 A b e+5 b B d)}{e^6 (m+2)}-\frac{2 b (b d-a e)^2 (d+e x)^{m+3} (-2 a B e-3 A b e+5 b B d)}{e^6 (m+3)}+\frac{b^4 B (d+e x)^{m+6}}{e^6 (m+6)}",1,"-(((b*d - a*e)^4*(B*d - A*e)*(d + e*x)^(1 + m))/(e^6*(1 + m))) + ((b*d - a*e)^3*(5*b*B*d - 4*A*b*e - a*B*e)*(d + e*x)^(2 + m))/(e^6*(2 + m)) - (2*b*(b*d - a*e)^2*(5*b*B*d - 3*A*b*e - 2*a*B*e)*(d + e*x)^(3 + m))/(e^6*(3 + m)) + (2*b^2*(b*d - a*e)*(5*b*B*d - 2*A*b*e - 3*a*B*e)*(d + e*x)^(4 + m))/(e^6*(4 + m)) - (b^3*(5*b*B*d - A*b*e - 4*a*B*e)*(d + e*x)^(5 + m))/(e^6*(5 + m)) + (b^4*B*(d + e*x)^(6 + m))/(e^6*(6 + m))","A",2,1,20,0.05000,1,"{77}"
3181,1,186,0,0.1217542,"\int (a+b x)^3 (A+B x) (d+e x)^m \, dx","Int[(a + b*x)^3*(A + B*x)*(d + e*x)^m,x]","-\frac{b^2 (d+e x)^{m+4} (-3 a B e-A b e+4 b B d)}{e^5 (m+4)}+\frac{(b d-a e)^3 (B d-A e) (d+e x)^{m+1}}{e^5 (m+1)}-\frac{(b d-a e)^2 (d+e x)^{m+2} (-a B e-3 A b e+4 b B d)}{e^5 (m+2)}+\frac{3 b (b d-a e) (d+e x)^{m+3} (-a B e-A b e+2 b B d)}{e^5 (m+3)}+\frac{b^3 B (d+e x)^{m+5}}{e^5 (m+5)}","-\frac{b^2 (d+e x)^{m+4} (-3 a B e-A b e+4 b B d)}{e^5 (m+4)}+\frac{(b d-a e)^3 (B d-A e) (d+e x)^{m+1}}{e^5 (m+1)}-\frac{(b d-a e)^2 (d+e x)^{m+2} (-a B e-3 A b e+4 b B d)}{e^5 (m+2)}+\frac{3 b (b d-a e) (d+e x)^{m+3} (-a B e-A b e+2 b B d)}{e^5 (m+3)}+\frac{b^3 B (d+e x)^{m+5}}{e^5 (m+5)}",1,"((b*d - a*e)^3*(B*d - A*e)*(d + e*x)^(1 + m))/(e^5*(1 + m)) - ((b*d - a*e)^2*(4*b*B*d - 3*A*b*e - a*B*e)*(d + e*x)^(2 + m))/(e^5*(2 + m)) + (3*b*(b*d - a*e)*(2*b*B*d - A*b*e - a*B*e)*(d + e*x)^(3 + m))/(e^5*(3 + m)) - (b^2*(4*b*B*d - A*b*e - 3*a*B*e)*(d + e*x)^(4 + m))/(e^5*(4 + m)) + (b^3*B*(d + e*x)^(5 + m))/(e^5*(5 + m))","A",2,1,20,0.05000,1,"{77}"
3182,1,138,0,0.0849185,"\int (a+b x)^2 (A+B x) (d+e x)^m \, dx","Int[(a + b*x)^2*(A + B*x)*(d + e*x)^m,x]","-\frac{(b d-a e)^2 (B d-A e) (d+e x)^{m+1}}{e^4 (m+1)}+\frac{(b d-a e) (d+e x)^{m+2} (-a B e-2 A b e+3 b B d)}{e^4 (m+2)}-\frac{b (d+e x)^{m+3} (-2 a B e-A b e+3 b B d)}{e^4 (m+3)}+\frac{b^2 B (d+e x)^{m+4}}{e^4 (m+4)}","-\frac{(b d-a e)^2 (B d-A e) (d+e x)^{m+1}}{e^4 (m+1)}+\frac{(b d-a e) (d+e x)^{m+2} (-a B e-2 A b e+3 b B d)}{e^4 (m+2)}-\frac{b (d+e x)^{m+3} (-2 a B e-A b e+3 b B d)}{e^4 (m+3)}+\frac{b^2 B (d+e x)^{m+4}}{e^4 (m+4)}",1,"-(((b*d - a*e)^2*(B*d - A*e)*(d + e*x)^(1 + m))/(e^4*(1 + m))) + ((b*d - a*e)*(3*b*B*d - 2*A*b*e - a*B*e)*(d + e*x)^(2 + m))/(e^4*(2 + m)) - (b*(3*b*B*d - A*b*e - 2*a*B*e)*(d + e*x)^(3 + m))/(e^4*(3 + m)) + (b^2*B*(d + e*x)^(4 + m))/(e^4*(4 + m))","A",2,1,20,0.05000,1,"{77}"
3183,1,90,0,0.0477808,"\int (a+b x) (A+B x) (d+e x)^m \, dx","Int[(a + b*x)*(A + B*x)*(d + e*x)^m,x]","\frac{(b d-a e) (B d-A e) (d+e x)^{m+1}}{e^3 (m+1)}-\frac{(d+e x)^{m+2} (-a B e-A b e+2 b B d)}{e^3 (m+2)}+\frac{b B (d+e x)^{m+3}}{e^3 (m+3)}","\frac{(b d-a e) (B d-A e) (d+e x)^{m+1}}{e^3 (m+1)}-\frac{(d+e x)^{m+2} (-a B e-A b e+2 b B d)}{e^3 (m+2)}+\frac{b B (d+e x)^{m+3}}{e^3 (m+3)}",1,"((b*d - a*e)*(B*d - A*e)*(d + e*x)^(1 + m))/(e^3*(1 + m)) - ((2*b*B*d - A*b*e - a*B*e)*(d + e*x)^(2 + m))/(e^3*(2 + m)) + (b*B*(d + e*x)^(3 + m))/(e^3*(3 + m))","A",2,1,18,0.05556,1,"{77}"
3184,1,47,0,0.0216293,"\int (A+B x) (d+e x)^m \, dx","Int[(A + B*x)*(d + e*x)^m,x]","\frac{B (d+e x)^{m+2}}{e^2 (m+2)}-\frac{(B d-A e) (d+e x)^{m+1}}{e^2 (m+1)}","\frac{B (d+e x)^{m+2}}{e^2 (m+2)}-\frac{(B d-A e) (d+e x)^{m+1}}{e^2 (m+1)}",1,"-(((B*d - A*e)*(d + e*x)^(1 + m))/(e^2*(1 + m))) + (B*(d + e*x)^(2 + m))/(e^2*(2 + m))","A",2,1,13,0.07692,1,"{43}"
3185,1,85,0,0.0429038,"\int \frac{(A+B x) (d+e x)^m}{a+b x} \, dx","Int[((A + B*x)*(d + e*x)^m)/(a + b*x),x]","\frac{B (d+e x)^{m+1}}{b e (m+1)}-\frac{(A b-a B) (d+e x)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{b (d+e x)}{b d-a e}\right)}{b (m+1) (b d-a e)}","\frac{B (d+e x)^{m+1}}{b e (m+1)}-\frac{(A b-a B) (d+e x)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{b (d+e x)}{b d-a e}\right)}{b (m+1) (b d-a e)}",1,"(B*(d + e*x)^(1 + m))/(b*e*(1 + m)) - ((A*b - a*B)*(d + e*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (b*(d + e*x))/(b*d - a*e)])/(b*(b*d - a*e)*(1 + m))","A",2,2,20,0.1000,1,"{80, 68}"
3186,1,112,0,0.0568046,"\int \frac{(A+B x) (d+e x)^m}{(a+b x)^2} \, dx","Int[((A + B*x)*(d + e*x)^m)/(a + b*x)^2,x]","\frac{(d+e x)^{m+1} (a B e (m+1)-b (A e m+B d)) \, _2F_1\left(1,m+1;m+2;\frac{b (d+e x)}{b d-a e}\right)}{b (m+1) (b d-a e)^2}-\frac{(A b-a B) (d+e x)^{m+1}}{b (a+b x) (b d-a e)}","\frac{(d+e x)^{m+1} (a B e (m+1)-b (A e m+B d)) \, _2F_1\left(1,m+1;m+2;\frac{b (d+e x)}{b d-a e}\right)}{b (m+1) (b d-a e)^2}-\frac{(A b-a B) (d+e x)^{m+1}}{b (a+b x) (b d-a e)}",1,"-(((A*b - a*B)*(d + e*x)^(1 + m))/(b*(b*d - a*e)*(a + b*x))) + ((a*B*e*(1 + m) - b*(B*d + A*e*m))*(d + e*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (b*(d + e*x))/(b*d - a*e)])/(b*(b*d - a*e)^2*(1 + m))","A",2,2,20,0.1000,1,"{78, 68}"
3187,1,91,0,0.0204781,"\int (1-2 x) (2+3 x)^m (3+5 x)^3 \, dx","Int[(1 - 2*x)*(2 + 3*x)^m*(3 + 5*x)^3,x]","-\frac{7 (3 x+2)^{m+1}}{243 (m+1)}+\frac{107 (3 x+2)^{m+2}}{243 (m+2)}-\frac{185 (3 x+2)^{m+3}}{81 (m+3)}+\frac{1025 (3 x+2)^{m+4}}{243 (m+4)}-\frac{250 (3 x+2)^{m+5}}{243 (m+5)}","-\frac{7 (3 x+2)^{m+1}}{243 (m+1)}+\frac{107 (3 x+2)^{m+2}}{243 (m+2)}-\frac{185 (3 x+2)^{m+3}}{81 (m+3)}+\frac{1025 (3 x+2)^{m+4}}{243 (m+4)}-\frac{250 (3 x+2)^{m+5}}{243 (m+5)}",1,"(-7*(2 + 3*x)^(1 + m))/(243*(1 + m)) + (107*(2 + 3*x)^(2 + m))/(243*(2 + m)) - (185*(2 + 3*x)^(3 + m))/(81*(3 + m)) + (1025*(2 + 3*x)^(4 + m))/(243*(4 + m)) - (250*(2 + 3*x)^(5 + m))/(243*(5 + m))","A",2,1,20,0.05000,1,"{77}"
3188,1,73,0,0.016229,"\int (1-2 x) (2+3 x)^m (3+5 x)^2 \, dx","Int[(1 - 2*x)*(2 + 3*x)^m*(3 + 5*x)^2,x]","\frac{7 (3 x+2)^{m+1}}{81 (m+1)}-\frac{8 (3 x+2)^{m+2}}{9 (m+2)}+\frac{65 (3 x+2)^{m+3}}{27 (m+3)}-\frac{50 (3 x+2)^{m+4}}{81 (m+4)}","\frac{7 (3 x+2)^{m+1}}{81 (m+1)}-\frac{8 (3 x+2)^{m+2}}{9 (m+2)}+\frac{65 (3 x+2)^{m+3}}{27 (m+3)}-\frac{50 (3 x+2)^{m+4}}{81 (m+4)}",1,"(7*(2 + 3*x)^(1 + m))/(81*(1 + m)) - (8*(2 + 3*x)^(2 + m))/(9*(2 + m)) + (65*(2 + 3*x)^(3 + m))/(27*(3 + m)) - (50*(2 + 3*x)^(4 + m))/(81*(4 + m))","A",2,1,20,0.05000,1,"{77}"
3189,1,55,0,0.0121969,"\int (1-2 x) (2+3 x)^m (3+5 x) \, dx","Int[(1 - 2*x)*(2 + 3*x)^m*(3 + 5*x),x]","-\frac{7 (3 x+2)^{m+1}}{27 (m+1)}+\frac{37 (3 x+2)^{m+2}}{27 (m+2)}-\frac{10 (3 x+2)^{m+3}}{27 (m+3)}","-\frac{7 (3 x+2)^{m+1}}{27 (m+1)}+\frac{37 (3 x+2)^{m+2}}{27 (m+2)}-\frac{10 (3 x+2)^{m+3}}{27 (m+3)}",1,"(-7*(2 + 3*x)^(1 + m))/(27*(1 + m)) + (37*(2 + 3*x)^(2 + m))/(27*(2 + m)) - (10*(2 + 3*x)^(3 + m))/(27*(3 + m))","A",2,1,18,0.05556,1,"{77}"
3190,1,52,0,0.0123107,"\int \frac{(1-2 x) (2+3 x)^m}{3+5 x} \, dx","Int[((1 - 2*x)*(2 + 3*x)^m)/(3 + 5*x),x]","-\frac{11 (3 x+2)^{m+1} \, _2F_1(1,m+1;m+2;5 (3 x+2))}{5 (m+1)}-\frac{2 (3 x+2)^{m+1}}{15 (m+1)}","-\frac{11 (3 x+2)^{m+1} \, _2F_1(1,m+1;m+2;5 (3 x+2))}{5 (m+1)}-\frac{2 (3 x+2)^{m+1}}{15 (m+1)}",1,"(-2*(2 + 3*x)^(1 + m))/(15*(1 + m)) - (11*(2 + 3*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, 5*(2 + 3*x)])/(5*(1 + m))","A",2,2,20,0.1000,1,"{80, 68}"
3191,1,59,0,0.018714,"\int \frac{(1-2 x) (2+3 x)^m}{(3+5 x)^2} \, dx","Int[((1 - 2*x)*(2 + 3*x)^m)/(3 + 5*x)^2,x]","\frac{(2-33 m) (3 x+2)^{m+1} \, _2F_1(1,m+1;m+2;5 (3 x+2))}{5 (m+1)}-\frac{11 (3 x+2)^{m+1}}{5 (5 x+3)}","\frac{(2-33 m) (3 x+2)^{m+1} \, _2F_1(1,m+1;m+2;5 (3 x+2))}{5 (m+1)}-\frac{11 (3 x+2)^{m+1}}{5 (5 x+3)}",1,"(-11*(2 + 3*x)^(1 + m))/(5*(3 + 5*x)) + ((2 - 33*m)*(2 + 3*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, 5*(2 + 3*x)])/(5*(1 + m))","A",2,2,20,0.1000,1,"{78, 68}"
3192,1,59,0,0.0219263,"\int \frac{(1-2 x) (2+3 x)^m}{(3+5 x)^3} \, dx","Int[((1 - 2*x)*(2 + 3*x)^m)/(3 + 5*x)^3,x]","-\frac{3 (37-33 m) (3 x+2)^{m+1} \, _2F_1(2,m+1;m+2;5 (3 x+2))}{10 (m+1)}-\frac{11 (3 x+2)^{m+1}}{10 (5 x+3)^2}","-\frac{3 (37-33 m) (3 x+2)^{m+1} \, _2F_1(2,m+1;m+2;5 (3 x+2))}{10 (m+1)}-\frac{11 (3 x+2)^{m+1}}{10 (5 x+3)^2}",1,"(-11*(2 + 3*x)^(1 + m))/(10*(3 + 5*x)^2) - (3*(37 - 33*m)*(2 + 3*x)^(1 + m)*Hypergeometric2F1[2, 1 + m, 2 + m, 5*(2 + 3*x)])/(10*(1 + m))","A",2,2,20,0.1000,1,"{78, 68}"
3193,1,90,0,0.0304623,"\int \frac{(2+3 x)^m (3+5 x)^3}{1-2 x} \, dx","Int[((2 + 3*x)^m*(3 + 5*x)^3)/(1 - 2*x),x]","\frac{1331 (3 x+2)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{2}{7} (3 x+2)\right)}{56 (m+1)}-\frac{5135 (3 x+2)^{m+1}}{216 (m+1)}-\frac{725 (3 x+2)^{m+2}}{108 (m+2)}-\frac{125 (3 x+2)^{m+3}}{54 (m+3)}","\frac{1331 (3 x+2)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{2}{7} (3 x+2)\right)}{56 (m+1)}-\frac{5135 (3 x+2)^{m+1}}{216 (m+1)}-\frac{725 (3 x+2)^{m+2}}{108 (m+2)}-\frac{125 (3 x+2)^{m+3}}{54 (m+3)}",1,"(-5135*(2 + 3*x)^(1 + m))/(216*(1 + m)) - (725*(2 + 3*x)^(2 + m))/(108*(2 + m)) - (125*(2 + 3*x)^(3 + m))/(54*(3 + m)) + (1331*(2 + 3*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (2*(2 + 3*x))/7])/(56*(1 + m))","A",3,2,22,0.09091,1,"{88, 68}"
3194,1,72,0,0.0254671,"\int \frac{(2+3 x)^m (3+5 x)^2}{1-2 x} \, dx","Int[((2 + 3*x)^m*(3 + 5*x)^2)/(1 - 2*x),x]","\frac{121 (3 x+2)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{2}{7} (3 x+2)\right)}{28 (m+1)}-\frac{155 (3 x+2)^{m+1}}{36 (m+1)}-\frac{25 (3 x+2)^{m+2}}{18 (m+2)}","\frac{121 (3 x+2)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{2}{7} (3 x+2)\right)}{28 (m+1)}-\frac{155 (3 x+2)^{m+1}}{36 (m+1)}-\frac{25 (3 x+2)^{m+2}}{18 (m+2)}",1,"(-155*(2 + 3*x)^(1 + m))/(36*(1 + m)) - (25*(2 + 3*x)^(2 + m))/(18*(2 + m)) + (121*(2 + 3*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (2*(2 + 3*x))/7])/(28*(1 + m))","A",3,2,22,0.09091,1,"{88, 68}"
3195,1,54,0,0.0112327,"\int \frac{(2+3 x)^m (3+5 x)}{1-2 x} \, dx","Int[((2 + 3*x)^m*(3 + 5*x))/(1 - 2*x),x]","\frac{11 (3 x+2)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{2}{7} (3 x+2)\right)}{14 (m+1)}-\frac{5 (3 x+2)^{m+1}}{6 (m+1)}","\frac{11 (3 x+2)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{2}{7} (3 x+2)\right)}{14 (m+1)}-\frac{5 (3 x+2)^{m+1}}{6 (m+1)}",1,"(-5*(2 + 3*x)^(1 + m))/(6*(1 + m)) + (11*(2 + 3*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (2*(2 + 3*x))/7])/(14*(1 + m))","A",2,2,20,0.1000,1,"{80, 68}"
3196,1,69,0,0.0186439,"\int \frac{(2+3 x)^m}{(1-2 x) (3+5 x)} \, dx","Int[(2 + 3*x)^m/((1 - 2*x)*(3 + 5*x)),x]","\frac{2 (3 x+2)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{2}{7} (3 x+2)\right)}{77 (m+1)}-\frac{5 (3 x+2)^{m+1} \, _2F_1(1,m+1;m+2;5 (3 x+2))}{11 (m+1)}","\frac{2 (3 x+2)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{2}{7} (3 x+2)\right)}{77 (m+1)}-\frac{5 (3 x+2)^{m+1} \, _2F_1(1,m+1;m+2;5 (3 x+2))}{11 (m+1)}",1,"(2*(2 + 3*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (2*(2 + 3*x))/7])/(77*(1 + m)) - (5*(2 + 3*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, 5*(2 + 3*x)])/(11*(1 + m))","A",3,2,22,0.09091,1,"{86, 68}"
3197,1,94,0,0.0478595,"\int \frac{(2+3 x)^m}{(1-2 x) (3+5 x)^2} \, dx","Int[(2 + 3*x)^m/((1 - 2*x)*(3 + 5*x)^2),x]","\frac{4 (3 x+2)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{2}{7} (3 x+2)\right)}{847 (m+1)}-\frac{5 (33 m+2) (3 x+2)^{m+1} \, _2F_1(1,m+1;m+2;5 (3 x+2))}{121 (m+1)}-\frac{5 (3 x+2)^{m+1}}{11 (5 x+3)}","\frac{4 (3 x+2)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{2}{7} (3 x+2)\right)}{847 (m+1)}-\frac{5 (33 m+2) (3 x+2)^{m+1} \, _2F_1(1,m+1;m+2;5 (3 x+2))}{121 (m+1)}-\frac{5 (3 x+2)^{m+1}}{11 (5 x+3)}",1,"(-5*(2 + 3*x)^(1 + m))/(11*(3 + 5*x)) + (4*(2 + 3*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (2*(2 + 3*x))/7])/(847*(1 + m)) - (5*(2 + 33*m)*(2 + 3*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, 5*(2 + 3*x)])/(121*(1 + m))","A",4,3,22,0.1364,1,"{103, 156, 68}"
3198,1,124,0,0.094268,"\int \frac{(2+3 x)^m}{(1-2 x) (3+5 x)^3} \, dx","Int[(2 + 3*x)^m/((1 - 2*x)*(3 + 5*x)^3),x]","-\frac{5 \left(1089 m^2-957 m+8\right) (3 x+2)^{m+1} \, _2F_1(1,m+1;m+2;5 (3 x+2))}{2662 (m+1)}+\frac{8 (3 x+2)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{2}{7} (3 x+2)\right)}{9317 (m+1)}+\frac{5 (29-33 m) (3 x+2)^{m+1}}{242 (5 x+3)}-\frac{5 (3 x+2)^{m+1}}{22 (5 x+3)^2}","-\frac{5 \left(1089 m^2-957 m+8\right) (3 x+2)^{m+1} \, _2F_1(1,m+1;m+2;5 (3 x+2))}{2662 (m+1)}+\frac{8 (3 x+2)^{m+1} \, _2F_1\left(1,m+1;m+2;\frac{2}{7} (3 x+2)\right)}{9317 (m+1)}+\frac{5 (29-33 m) (3 x+2)^{m+1}}{242 (5 x+3)}-\frac{5 (3 x+2)^{m+1}}{22 (5 x+3)^2}",1,"(-5*(2 + 3*x)^(1 + m))/(22*(3 + 5*x)^2) + (5*(29 - 33*m)*(2 + 3*x)^(1 + m))/(242*(3 + 5*x)) + (8*(2 + 3*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, (2*(2 + 3*x))/7])/(9317*(1 + m)) - (5*(8 - 957*m + 1089*m^2)*(2 + 3*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, 5*(2 + 3*x)])/(2662*(1 + m))","A",5,4,22,0.1818,1,"{103, 151, 156, 68}"
3199,1,52,0,0.0110129,"\int \frac{(a+b x)^m}{(e+f x)^2} \, dx","Int[(a + b*x)^m/(e + f*x)^2,x]","\frac{b (a+b x)^{m+1} \, _2F_1\left(2,m+1;m+2;-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)^2}","\frac{b (a+b x)^{m+1} \, _2F_1\left(2,m+1;m+2;-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)^2}",1,"(b*(a + b*x)^(1 + m)*Hypergeometric2F1[2, 1 + m, 2 + m, -((f*(a + b*x))/(b*e - a*f))])/((b*e - a*f)^2*(1 + m))","A",1,1,15,0.06667,1,"{68}"
3200,1,187,0,0.1757751,"\int \frac{(a+b x)^m}{(c+d x) (e+f x)^2} \, dx","Int[(a + b*x)^m/((c + d*x)*(e + f*x)^2),x]","\frac{d^2 (a+b x)^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{(m+1) (b c-a d) (d e-c f)^2}+\frac{f (a+b x)^{m+1} (a d f-b c f m-b d e (1-m)) \, _2F_1\left(1,m+1;m+2;-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1}}{(e+f x) (b e-a f) (d e-c f)}","\frac{d^2 (a+b x)^{m+1} \, _2F_1\left(1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{(m+1) (b c-a d) (d e-c f)^2}+\frac{f (a+b x)^{m+1} (a d f-b (c f m+d e (1-m))) \, _2F_1\left(1,m+1;m+2;-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)^2 (d e-c f)^2}-\frac{f (a+b x)^{m+1}}{(e+f x) (b e-a f) (d e-c f)}",1,"-((f*(a + b*x)^(1 + m))/((b*e - a*f)*(d*e - c*f)*(e + f*x))) + (d^2*(a + b*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)*(d*e - c*f)^2*(1 + m)) + (f*(a*d*f - b*d*e*(1 - m) - b*c*f*m)*(a + b*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((f*(a + b*x))/(b*e - a*f))])/((b*e - a*f)^2*(d*e - c*f)^2*(1 + m))","A",4,3,22,0.1364,1,"{103, 156, 68}"
3201,1,281,0,0.4181474,"\int \frac{(a+b x)^m}{(c+d x)^2 (e+f x)^2} \, dx","Int[(a + b*x)^m/((c + d*x)^2*(e + f*x)^2),x]","\frac{d^2 (a+b x)^{m+1} (2 a d f-b c f (2-m)-b d e m) \, _2F_1\left(1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{(m+1) (b c-a d)^2 (d e-c f)^3}-\frac{f^2 (a+b x)^{m+1} (2 a d f-b c f m-b d e (2-m)) \, _2F_1\left(1,m+1;m+2;-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)^2 (d e-c f)^3}+\frac{f (a+b x)^{m+1} (-2 a d f+b c f+b d e)}{(e+f x) (b c-a d) (b e-a f) (d e-c f)^2}+\frac{d (a+b x)^{m+1}}{(c+d x) (e+f x) (b c-a d) (d e-c f)}","\frac{d^2 (a+b x)^{m+1} (2 a d f-b (c f (2-m)+d e m)) \, _2F_1\left(1,m+1;m+2;-\frac{d (a+b x)}{b c-a d}\right)}{(m+1) (b c-a d)^2 (d e-c f)^3}-\frac{f^2 (a+b x)^{m+1} (2 a d f-b (c f m+d e (2-m))) \, _2F_1\left(1,m+1;m+2;-\frac{f (a+b x)}{b e-a f}\right)}{(m+1) (b e-a f)^2 (d e-c f)^3}+\frac{f (a+b x)^{m+1} (-2 a d f+b c f+b d e)}{(e+f x) (b c-a d) (b e-a f) (d e-c f)^2}+\frac{d (a+b x)^{m+1}}{(c+d x) (e+f x) (b c-a d) (d e-c f)}",1,"(f*(b*d*e + b*c*f - 2*a*d*f)*(a + b*x)^(1 + m))/((b*c - a*d)*(b*e - a*f)*(d*e - c*f)^2*(e + f*x)) + (d*(a + b*x)^(1 + m))/((b*c - a*d)*(d*e - c*f)*(c + d*x)*(e + f*x)) + (d^2*(2*a*d*f - b*c*f*(2 - m) - b*d*e*m)*(a + b*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((d*(a + b*x))/(b*c - a*d))])/((b*c - a*d)^2*(d*e - c*f)^3*(1 + m)) - (f^2*(2*a*d*f - b*d*e*(2 - m) - b*c*f*m)*(a + b*x)^(1 + m)*Hypergeometric2F1[1, 1 + m, 2 + m, -((f*(a + b*x))/(b*e - a*f))])/((b*e - a*f)^2*(d*e - c*f)^3*(1 + m))","A",5,4,22,0.1818,1,"{103, 151, 156, 68}"