1,1,173,123,0.046000," ","int((c*x^2+b*x)^(7/2),x)","\frac{35 b^{8} \ln \left(\frac{c x +\frac{b}{2}}{\sqrt{c}}+\sqrt{c \,x^{2}+b x}\right)}{32768 c^{\frac{9}{2}}}-\frac{35 \sqrt{c \,x^{2}+b x}\, b^{6} x}{8192 c^{3}}-\frac{35 \sqrt{c \,x^{2}+b x}\, b^{7}}{16384 c^{4}}+\frac{35 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b^{4} x}{3072 c^{2}}+\frac{35 \left(c \,x^{2}+b x \right)^{\frac{3}{2}} b^{5}}{6144 c^{3}}-\frac{7 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} b^{2} x}{192 c}-\frac{7 \left(c \,x^{2}+b x \right)^{\frac{5}{2}} b^{3}}{384 c^{2}}+\frac{\left(2 c x +b \right) \left(c \,x^{2}+b x \right)^{\frac{7}{2}}}{16 c}"," ",0,"1/16*(2*c*x+b)*(c*x^2+b*x)^(7/2)/c-7/192*b^2/c*(c*x^2+b*x)^(5/2)*x-7/384*b^3/c^2*(c*x^2+b*x)^(5/2)+35/3072*b^4/c^2*(c*x^2+b*x)^(3/2)*x+35/6144*b^5/c^3*(c*x^2+b*x)^(3/2)-35/8192*b^6/c^3*(c*x^2+b*x)^(1/2)*x-35/16384*b^7/c^4*(c*x^2+b*x)^(1/2)+35/32768*b^8/c^(9/2)*ln((1/2*b+c*x)/c^(1/2)+(c*x^2+b*x)^(1/2))","A"
2,1,91,91,0.118000," ","int((3*I*x+4*x^2)^(7/2),x)","\frac{229635 \arcsinh \left(\frac{8 x}{3}+i\right)}{16777216}+\frac{\left(8 x +3 i\right) \left(4 x^{2}+3 i x \right)^{\frac{7}{2}}}{64}+\frac{21 \left(8 x +3 i\right) \left(4 x^{2}+3 i x \right)^{\frac{5}{2}}}{2048}+\frac{945 \left(8 x +3 i\right) \left(4 x^{2}+3 i x \right)^{\frac{3}{2}}}{131072}+\frac{25515 \left(8 x +3 i\right) \sqrt{4 x^{2}+3 i x}}{4194304}"," ",0,"1/64*(3*I+8*x)*(3*I*x+4*x^2)^(7/2)+21/2048*(3*I+8*x)*(3*I*x+4*x^2)^(5/2)+945/131072*(3*I+8*x)*(3*I*x+4*x^2)^(3/2)+25515/4194304*(3*I+8*x)*(3*I*x+4*x^2)^(1/2)+229635/16777216*arcsinh(8/3*x+I)","A"
3,1,71,71,0.093000," ","int((4*x^2+3*I*x)^(5/2),x)","\frac{3645 \arcsinh \left(\frac{8 x}{3}+i\right)}{131072}+\frac{\left(8 x +3 i\right) \left(4 x^{2}+3 i x \right)^{\frac{5}{2}}}{48}+\frac{15 \left(8 x +3 i\right) \left(4 x^{2}+3 i x \right)^{\frac{3}{2}}}{1024}+\frac{405 \left(8 x +3 i\right) \sqrt{4 x^{2}+3 i x}}{32768}"," ",0,"1/48*(8*x+3*I)*(4*x^2+3*I*x)^(5/2)+15/1024*(8*x+3*I)*(4*x^2+3*I*x)^(3/2)+405/32768*(8*x+3*I)*(4*x^2+3*I*x)^(1/2)+3645/131072*arcsinh(8/3*x+I)","A"
4,1,51,51,0.118000," ","int((4*x^2+3*I*x)^(3/2),x)","\frac{243 \arcsinh \left(\frac{8 x}{3}+i\right)}{4096}+\frac{\left(8 x +3 i\right) \left(4 x^{2}+3 i x \right)^{\frac{3}{2}}}{32}+\frac{27 \left(8 x +3 i\right) \sqrt{4 x^{2}+3 i x}}{1024}"," ",0,"1/32*(8*x+3*I)*(4*x^2+3*I*x)^(3/2)+27/1024*(8*x+3*I)*(4*x^2+3*I*x)^(1/2)+243/4096*arcsinh(8/3*x+I)","A"
5,1,31,31,0.105000," ","int((4*x^2+3*I*x)^(1/2),x)","\frac{9 \arcsinh \left(\frac{8 x}{3}+i\right)}{64}+\frac{\left(8 x +3 i\right) \sqrt{4 x^{2}+3 i x}}{16}"," ",0,"1/16*(8*x+3*I)*(4*x^2+3*I*x)^(1/2)+9/64*arcsinh(8/3*x+I)","A"
6,1,82,81,0.044000," ","int((-4*x^2+3*x)^(7/2),x)","\frac{229635 \arcsin \left(\frac{8 x}{3}-1\right)}{16777216}-\frac{945 \left(-8 x +3\right) \left(-4 x^{2}+3 x \right)^{\frac{3}{2}}}{131072}-\frac{21 \left(-8 x +3\right) \left(-4 x^{2}+3 x \right)^{\frac{5}{2}}}{2048}-\frac{\left(-8 x +3\right) \left(-4 x^{2}+3 x \right)^{\frac{7}{2}}}{64}-\frac{25515 \left(-8 x +3\right) \sqrt{-4 x^{2}+3 x}}{4194304}"," ",0,"-945/131072*(3-8*x)*(-4*x^2+3*x)^(3/2)-21/2048*(3-8*x)*(-4*x^2+3*x)^(5/2)-1/64*(3-8*x)*(-4*x^2+3*x)^(7/2)+229635/16777216*arcsin(-1+8/3*x)-25515/4194304*(3-8*x)*(-4*x^2+3*x)^(1/2)","A"
7,1,64,63,0.046000," ","int((-4*x^2+3*x)^(5/2),x)","\frac{3645 \arcsin \left(\frac{8 x}{3}-1\right)}{131072}-\frac{15 \left(-8 x +3\right) \left(-4 x^{2}+3 x \right)^{\frac{3}{2}}}{1024}-\frac{\left(-8 x +3\right) \left(-4 x^{2}+3 x \right)^{\frac{5}{2}}}{48}-\frac{405 \left(-8 x +3\right) \sqrt{-4 x^{2}+3 x}}{32768}"," ",0,"-15/1024*(-8*x+3)*(-4*x^2+3*x)^(3/2)-1/48*(-8*x+3)*(-4*x^2+3*x)^(5/2)+3645/131072*arcsin(8/3*x-1)-405/32768*(-8*x+3)*(-4*x^2+3*x)^(1/2)","A"
8,1,46,45,0.048000," ","int((-4*x^2+3*x)^(3/2),x)","\frac{243 \arcsin \left(\frac{8 x}{3}-1\right)}{4096}-\frac{\left(-8 x +3\right) \left(-4 x^{2}+3 x \right)^{\frac{3}{2}}}{32}-\frac{27 \left(-8 x +3\right) \sqrt{-4 x^{2}+3 x}}{1024}"," ",0,"-1/32*(-8*x+3)*(-4*x^2+3*x)^(3/2)+243/4096*arcsin(8/3*x-1)-27/1024*(-8*x+3)*(-4*x^2+3*x)^(1/2)","A"
9,1,28,27,0.051000," ","int((-4*x^2+3*x)^(1/2),x)","\frac{9 \arcsin \left(\frac{8 x}{3}-1\right)}{64}-\frac{\left(-8 x +3\right) \sqrt{-4 x^{2}+3 x}}{16}"," ",0,"9/64*arcsin(8/3*x-1)-1/16*(-8*x+3)*(-4*x^2+3*x)^(1/2)","A"
10,1,28,27,0.047000," ","int((-x^2+6*x)^(1/2),x)","\frac{9 \arcsin \left(\frac{x}{3}-1\right)}{2}-\frac{\left(-2 x +6\right) \sqrt{-x^{2}+6 x}}{4}"," ",0,"-1/4*(-2*x+6)*(-x^2+6*x)^(1/2)+9/2*arcsin(-1+1/3*x)","A"
11,1,28,27,0.045000," ","int((-9*x^2+5*x)^(1/2),x)","\frac{25 \arcsin \left(\frac{18 x}{5}-1\right)}{216}-\frac{\left(-18 x +5\right) \sqrt{-9 x^{2}+5 x}}{36}"," ",0,"25/216*arcsin(-1+18/5*x)-1/36*(5-18*x)*(-9*x^2+5*x)^(1/2)","A"
12,1,42,41,0.043000," ","int((-x^2+x)^(3/2),x)","\frac{3 \arcsin \left(2 x -1\right)}{128}-\frac{\left(-2 x +1\right) \left(-x^{2}+x \right)^{\frac{3}{2}}}{8}-\frac{3 \left(-2 x +1\right) \sqrt{-x^{2}+x}}{64}"," ",0,"-1/8*(1-2*x)*(-x^2+x)^(3/2)+3/128*arcsin(2*x-1)-3/64*(1-2*x)*(-x^2+x)^(1/2)","A"
13,1,33,29,0.046000," ","int((x^2+4*x)^(1/2),x)","-2 \ln \left(x +2+\sqrt{x^{2}+4 x}\right)+\frac{\left(2 x +4\right) \sqrt{x^{2}+4 x}}{4}"," ",0,"1/4*(2*x+4)*(x^2+4*x)^(1/2)-2*ln(x+2+(x^2+4*x)^(1/2))","A"
14,1,33,31,0.045000," ","int((x^2-8*x)^(1/2),x)","-8 \ln \left(x -4+\sqrt{x^{2}-8 x}\right)+\frac{\left(2 x -8\right) \sqrt{x^{2}-8 x}}{4}"," ",0,"1/4*(2*x-8)*(x^2-8*x)^(1/2)-8*ln(-4+x+(x^2-8*x)^(1/2))","A"
15,1,33,31,0.048000," ","int((x^2-x)^(1/2),x)","-\frac{\ln \left(x -\frac{1}{2}+\sqrt{x^{2}-x}\right)}{8}+\frac{\left(2 x -1\right) \sqrt{x^{2}-x}}{4}"," ",0,"1/4*(2*x-1)*(x^2-x)^(1/2)-1/8*ln(-1/2+x+(x^2-x)^(1/2))","A"
16,1,75,71,0.048000," ","int(1/(c*x^2+b*x)^(7/2),x)","-\frac{2 \left(c x +b \right) \left(256 c^{5} x^{5}+640 c^{4} x^{4} b +480 c^{3} x^{3} b^{2}+80 c^{2} x^{2} b^{3}-10 c x \,b^{4}+3 b^{5}\right) x}{15 \left(c \,x^{2}+b x \right)^{\frac{7}{2}} b^{6}}"," ",0,"-2/15*(c*x+b)*x*(256*c^5*x^5+640*b*c^4*x^4+480*b^2*c^3*x^3+80*b^3*c^2*x^2-10*b^4*c*x+3*b^5)/b^6/(c*x^2+b*x)^(7/2)","A"
17,1,10,10,0.105000," ","int(1/(4*x^2+3*I*x)^(1/2),x)","\frac{\arcsinh \left(\frac{8 x}{3}+i\right)}{2}"," ",0,"1/2*arcsinh(8/3*x+I)","A"
18,1,21,20,0.102000," ","int(1/(4*x^2+3*I*x)^(3/2),x)","\frac{\frac{16 x}{9}+\frac{2 i}{3}}{\sqrt{4 x^{2}+3 i x}}"," ",0,"2/9*(8*x+3*I)/(4*x^2+3*I*x)^(1/2)","A"
19,1,42,41,0.099000," ","int(1/(4*x^2+3*I*x)^(5/2),x)","\frac{\frac{16 x}{27}+\frac{2 i}{9}}{\left(4 x^{2}+3 i x \right)^{\frac{3}{2}}}+\frac{\frac{512 x}{243}+\frac{64 i}{81}}{\sqrt{4 x^{2}+3 i x}}"," ",0,"2/27*(8*x+3*I)/(4*x^2+3*I*x)^(3/2)+64/243*(8*x+3*I)/(4*x^2+3*I*x)^(1/2)","A"
20,1,62,61,0.101000," ","int(1/(4*x^2+3*I*x)^(7/2),x)","\frac{\frac{16 x}{45}+\frac{2 i}{15}}{\left(4 x^{2}+3 i x \right)^{\frac{5}{2}}}+\frac{\frac{1024 x}{1215}+\frac{128 i}{405}}{\left(4 x^{2}+3 i x \right)^{\frac{3}{2}}}+\frac{\frac{32768 x}{10935}+\frac{4096 i}{3645}}{\sqrt{4 x^{2}+3 i x}}"," ",0,"2/45*(8*x+3*I)/(4*x^2+3*I*x)^(5/2)+128/1215*(8*x+3*I)/(4*x^2+3*I*x)^(3/2)+4096/10935*(8*x+3*I)/(4*x^2+3*I*x)^(1/2)","A"
21,1,9,8,0.043000," ","int(1/(-4*x^2+3*x)^(1/2),x)","\frac{\arcsin \left(\frac{8 x}{3}-1\right)}{2}"," ",0,"1/2*arcsin(8/3*x-1)","A"
22,1,25,18,0.051000," ","int(1/(-4*x^2+3*x)^(3/2),x)","-\frac{2 \left(4 x -3\right) \left(8 x -3\right) x}{9 \left(-4 x^{2}+3 x \right)^{\frac{3}{2}}}"," ",0,"-2/9*x*(-3+4*x)*(-3+8*x)/(-4*x^2+3*x)^(3/2)","A"
23,1,35,37,0.044000," ","int(1/(-4*x^2+3*x)^(5/2),x)","\frac{2 \left(4 x -3\right) \left(1024 x^{3}-1152 x^{2}+216 x +27\right) x}{243 \left(-4 x^{2}+3 x \right)^{\frac{5}{2}}}"," ",0,"2/243*x*(4*x-3)*(1024*x^3-1152*x^2+216*x+27)/(-4*x^2+3*x)^(5/2)","A"
24,1,45,55,0.047000," ","int(1/(-4*x^2+3*x)^(7/2),x)","-\frac{2 \left(4 x -3\right) \left(262144 x^{5}-491520 x^{4}+276480 x^{3}-34560 x^{2}-3240 x -729\right) x}{10935 \left(-4 x^{2}+3 x \right)^{\frac{7}{2}}}"," ",0,"-2/10935*x*(4*x-3)*(262144*x^5-491520*x^4+276480*x^3-34560*x^2-3240*x-729)/(-4*x^2+3*x)^(7/2)","A"
25,1,35,11,0.072000," ","int(1/(-b^2*x^2+b*x)^(1/2),x)","\frac{\arctan \left(\frac{\sqrt{b^{2}}\, \left(x -\frac{1}{2 b}\right)}{\sqrt{-b^{2} x^{2}+b x}}\right)}{\sqrt{b^{2}}}"," ",0,"1/(b^2)^(1/2)*arctan((b^2)^(1/2)*(x-1/2/b)/(-b^2*x^2+b*x)^(1/2))","B"
26,1,37,22,0.052000," ","int(1/(b^2*x^2+b*x)^(1/2),x)","\frac{\ln \left(\frac{b^{2} x +\frac{1}{2} b}{\sqrt{b^{2}}}+\sqrt{b^{2} x^{2}+b x}\right)}{\sqrt{b^{2}}}"," ",0,"ln((1/2*b+b^2*x)/(b^2)^(1/2)+(b^2*x^2+b*x)^(1/2))/(b^2)^(1/2)","A"
27,1,7,6,0.046000," ","int(1/(-x^2+6*x)^(1/2),x)","\arcsin \left(\frac{x}{3}-1\right)"," ",0,"arcsin(1/3*x-1)","A"
28,1,14,14,0.041000," ","int(1/(x^2+4*x)^(1/2),x)","\ln \left(x +2+\sqrt{x^{2}+4 x}\right)"," ",0,"ln(x+2+(x^2+4*x)^(1/2))","A"
29,1,14,14,0.051000," ","int(1/(x^2-2*x)^(1/2),x)","\ln \left(x -1+\sqrt{x^{2}-2 x}\right)"," ",0,"ln(x-1+(x^2-2*x)^(1/2))","A"
30,0,0,373,0.852000," ","int((c*x^2+b*x)^(4/3),x)","\int \left(c \,x^{2}+b x \right)^{\frac{4}{3}}\, dx"," ",0,"int((c*x^2+b*x)^(4/3),x)","F"
31,0,0,320,0.547000," ","int((c*x^2+b*x)^(1/3),x)","\int \left(c \,x^{2}+b x \right)^{\frac{1}{3}}\, dx"," ",0,"int((c*x^2+b*x)^(1/3),x)","F"
32,0,0,265,0.767000," ","int(1/(c*x^2+b*x)^(2/3),x)","\int \frac{1}{\left(c \,x^{2}+b x \right)^{\frac{2}{3}}}\, dx"," ",0,"int(1/(c*x^2+b*x)^(2/3),x)","F"
33,0,0,319,0.750000," ","int(1/(c*x^2+b*x)^(5/3),x)","\int \frac{1}{\left(c \,x^{2}+b x \right)^{\frac{5}{3}}}\, dx"," ",0,"int(1/(c*x^2+b*x)^(5/3),x)","F"
34,0,0,373,1.260000," ","int(1/(c*x^2+b*x)^(8/3),x)","\int \frac{1}{\left(c \,x^{2}+b x \right)^{\frac{8}{3}}}\, dx"," ",0,"int(1/(c*x^2+b*x)^(8/3),x)","F"
35,0,0,698,0.759000," ","int((c*x^2+b*x)^(5/3),x)","\int \left(c \,x^{2}+b x \right)^{\frac{5}{3}}\, dx"," ",0,"int((c*x^2+b*x)^(5/3),x)","F"
36,0,0,645,0.708000," ","int((c*x^2+b*x)^(2/3),x)","\int \left(c \,x^{2}+b x \right)^{\frac{2}{3}}\, dx"," ",0,"int((c*x^2+b*x)^(2/3),x)","F"
37,0,0,591,0.701000," ","int(1/(c*x^2+b*x)^(1/3),x)","\int \frac{1}{\left(c \,x^{2}+b x \right)^{\frac{1}{3}}}\, dx"," ",0,"int(1/(c*x^2+b*x)^(1/3),x)","F"
38,0,0,645,0.882000," ","int(1/(c*x^2+b*x)^(4/3),x)","\int \frac{1}{\left(c \,x^{2}+b x \right)^{\frac{4}{3}}}\, dx"," ",0,"int(1/(c*x^2+b*x)^(4/3),x)","F"
39,0,0,698,1.336000," ","int(1/(c*x^2+b*x)^(7/3),x)","\int \frac{1}{\left(c \,x^{2}+b x \right)^{\frac{7}{3}}}\, dx"," ",0,"int(1/(c*x^2+b*x)^(7/3),x)","F"
40,0,0,136,0.625000," ","int((c*x^2+b*x)^(5/4),x)","\int \left(c \,x^{2}+b x \right)^{\frac{5}{4}}\, dx"," ",0,"int((c*x^2+b*x)^(5/4),x)","F"
41,0,0,111,0.740000," ","int((c*x^2+b*x)^(3/4),x)","\int \left(c \,x^{2}+b x \right)^{\frac{3}{4}}\, dx"," ",0,"int((c*x^2+b*x)^(3/4),x)","F"
42,0,0,111,0.570000," ","int((c*x^2+b*x)^(1/4),x)","\int \left(c \,x^{2}+b x \right)^{\frac{1}{4}}\, dx"," ",0,"int((c*x^2+b*x)^(1/4),x)","F"
43,0,0,85,0.723000," ","int(1/(c*x^2+b*x)^(1/4),x)","\int \frac{1}{\left(c \,x^{2}+b x \right)^{\frac{1}{4}}}\, dx"," ",0,"int(1/(c*x^2+b*x)^(1/4),x)","F"
44,0,0,86,0.723000," ","int(1/(c*x^2+b*x)^(3/4),x)","\int \frac{1}{\left(c \,x^{2}+b x \right)^{\frac{3}{4}}}\, dx"," ",0,"int(1/(c*x^2+b*x)^(3/4),x)","F"
45,0,0,108,0.918000," ","int(1/(c*x^2+b*x)^(5/4),x)","\int \frac{1}{\left(c \,x^{2}+b x \right)^{\frac{5}{4}}}\, dx"," ",0,"int(1/(c*x^2+b*x)^(5/4),x)","F"
46,0,0,132,1.370000," ","int(1/(c*x^2+b*x)^(9/4),x)","\int \frac{1}{\left(c \,x^{2}+b x \right)^{\frac{9}{4}}}\, dx"," ",0,"int(1/(c*x^2+b*x)^(9/4),x)","F"
47,0,0,159,0.768000," ","int(1/(c*x^2+b*x)^(13/4),x)","\int \frac{1}{\left(c \,x^{2}+b x \right)^{\frac{13}{4}}}\, dx"," ",0,"int(1/(c*x^2+b*x)^(13/4),x)","F"
48,0,0,57,0.503000," ","int((c*x^2+b*x)^p,x)","\int \left(c \,x^{2}+b x \right)^{p}\, dx"," ",0,"int((c*x^2+b*x)^p,x)","F"
49,1,44,43,0.041000," ","int((c*x^2+a)^4,x)","\frac{1}{9} c^{4} x^{9}+\frac{4}{7} a \,c^{3} x^{7}+\frac{6}{5} a^{2} c^{2} x^{5}+\frac{4}{3} a^{3} c \,x^{3}+a^{4} x"," ",0,"a^4*x+4/3*a^3*c*x^3+6/5*a^2*c^2*x^5+4/7*a*c^3*x^7+1/9*c^4*x^9","A"
50,1,32,31,0.040000," ","int((c*x^2+a)^3,x)","\frac{1}{7} c^{3} x^{7}+\frac{3}{5} a \,c^{2} x^{5}+a^{2} c \,x^{3}+a^{3} x"," ",0,"a^3*x+a^2*c*x^3+3/5*a*c^2*x^5+1/7*c^3*x^7","A"
51,1,22,21,0.038000," ","int((c*x^2+a)^2,x)","\frac{1}{5} c^{2} x^{5}+\frac{2}{3} a c \,x^{3}+a^{2} x"," ",0,"a^2*x+2/3*a*c*x^3+1/5*c^2*x^5","A"
52,1,11,10,0.042000," ","int(c*x^2+a,x)","\frac{1}{3} c \,x^{3}+a x"," ",0,"a*x+1/3*c*x^3","A"
53,1,16,16,0.040000," ","int(1/(c*x^2+a),x)","\frac{\arctan \left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}"," ",0,"1/(a*c)^(1/2)*arctan(c*x/(a*c)^(1/2))","A"
54,1,36,33,0.047000," ","int(1/(c*x^2+a)^2,x)","\frac{x}{2 \left(c \,x^{2}+a \right) a}+\frac{\arctan \left(\frac{c x}{\sqrt{a c}}\right)}{2 \sqrt{a c}\, a}"," ",0,"1/2*x/a/(c*x^2+a)+1/2/a/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
55,1,51,48,0.049000," ","int(1/(c*x^2+a)^3,x)","\frac{x}{4 \left(c \,x^{2}+a \right)^{2} a}+\frac{3 x}{8 \left(c \,x^{2}+a \right) a^{2}}+\frac{3 \arctan \left(\frac{c x}{\sqrt{a c}}\right)}{8 \sqrt{a c}\, a^{2}}"," ",0,"1/4*x/a/(c*x^2+a)^2+3/8*x/a^2/(c*x^2+a)+3/8/a^2/(a*c)^(1/2)*arctan(1/(a*c)^(1/2)*c*x)","A"
56,1,66,64,0.044000," ","int((c*x^2+a)^(5/2),x)","\frac{5 a^{3} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{16 \sqrt{c}}+\frac{5 \sqrt{c \,x^{2}+a}\, a^{2} x}{16}+\frac{5 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a x}{24}+\frac{\left(c \,x^{2}+a \right)^{\frac{5}{2}} x}{6}"," ",0,"1/6*x*(c*x^2+a)^(5/2)+5/24*a*x*(c*x^2+a)^(3/2)+5/16*a^2*x*(c*x^2+a)^(1/2)+5/16*a^3/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
57,1,51,49,0.044000," ","int((c*x^2+a)^(3/2),x)","\frac{3 a^{2} \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{8 \sqrt{c}}+\frac{3 \sqrt{c \,x^{2}+a}\, a x}{8}+\frac{\left(c \,x^{2}+a \right)^{\frac{3}{2}} x}{4}"," ",0,"1/4*x*(c*x^2+a)^(3/2)+3/8*a*x*(c*x^2+a)^(1/2)+3/8*a^2/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
58,1,36,34,0.043000," ","int((c*x^2+a)^(1/2),x)","\frac{a \ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{2 \sqrt{c}}+\frac{\sqrt{c \,x^{2}+a}\, x}{2}"," ",0,"1/2*x*(c*x^2+a)^(1/2)+1/2*a/c^(1/2)*ln(c^(1/2)*x+(c*x^2+a)^(1/2))","A"
59,1,21,19,0.042000," ","int(1/(c*x^2+a)^(1/2),x)","\frac{\ln \left(\sqrt{c}\, x +\sqrt{c \,x^{2}+a}\right)}{\sqrt{c}}"," ",0,"ln(c^(1/2)*x+(c*x^2+a)^(1/2))/c^(1/2)","A"
60,1,15,14,0.044000," ","int(1/(c*x^2+a)^(3/2),x)","\frac{x}{\sqrt{c \,x^{2}+a}\, a}"," ",0,"x/a/(c*x^2+a)^(1/2)","A"
61,1,26,31,0.045000," ","int(1/(c*x^2+a)^(5/2),x)","\frac{\left(2 c \,x^{2}+3 a \right) x}{3 \left(c \,x^{2}+a \right)^{\frac{3}{2}} a^{2}}"," ",0,"1/3*x*(2*c*x^2+3*a)/(c*x^2+a)^(3/2)/a^2","A"
62,1,37,46,0.043000," ","int(1/(c*x^2+a)^(7/2),x)","\frac{\left(8 c^{2} x^{4}+20 a c \,x^{2}+15 a^{2}\right) x}{15 \left(c \,x^{2}+a \right)^{\frac{5}{2}} a^{3}}"," ",0,"1/15*x*(8*c^2*x^4+20*a*c*x^2+15*a^2)/(c*x^2+a)^(5/2)/a^3","A"
63,1,48,61,0.046000," ","int(1/(c*x^2+a)^(9/2),x)","\frac{\left(16 c^{3} x^{6}+56 a \,c^{2} x^{4}+70 a^{2} c \,x^{2}+35 a^{3}\right) x}{35 \left(c \,x^{2}+a \right)^{\frac{7}{2}} a^{4}}"," ",0,"1/35*x*(16*c^3*x^6+56*a*c^2*x^4+70*a^2*c*x^2+35*a^3)/(c*x^2+a)^(7/2)/a^4","A"
64,1,35,19,0.046000," ","int((9*x^2+12*x+4)^(3/2),x)","\frac{\left(27 x^{3}+72 x^{2}+72 x +32\right) \left(\left(3 x +2\right)^{2}\right)^{\frac{3}{2}} x}{4 \left(3 x +2\right)^{3}}"," ",0,"1/4*x*(27*x^3+72*x^2+72*x+32)*((3*x+2)^2)^(3/2)/(3*x+2)^3","A"
65,1,25,16,0.044000," ","int((9*x^2+12*x+4)^(1/2),x)","\frac{\left(3 x +4\right) \sqrt{\left(3 x +2\right)^{2}}\, x}{6 x +4}"," ",0,"1/2*x*(3*x+4)*((3*x+2)^2)^(1/2)/(3*x+2)","A"
66,1,23,22,0.048000," ","int(1/(9*x^2+12*x+4)^(1/2),x)","\frac{\left(3 x +2\right) \ln \left(3 x +2\right)}{3 \sqrt{\left(3 x +2\right)^{2}}}"," ",0,"1/3*(3*x+2)*ln(3*x+2)/((3*x+2)^2)^(1/2)","A"
67,1,17,18,0.046000," ","int(1/(9*x^2+12*x+4)^(3/2),x)","-\frac{3 x +2}{6 \left(\left(3 x +2\right)^{2}\right)^{\frac{3}{2}}}"," ",0,"-1/6*(3*x+2)/((3*x+2)^2)^(3/2)","A"
68,1,25,16,0.045000," ","int(((-2+3*x)^2)^(1/2),x)","\frac{\left(3 x -4\right) \sqrt{\left(3 x -2\right)^{2}}\, x}{6 x -4}"," ",0,"1/2*x*(3*x-4)*((-2+3*x)^2)^(1/2)/(-2+3*x)","A"
69,1,23,22,0.050000," ","int(1/((3*x-2)^2)^(1/2),x)","\frac{\left(3 x -2\right) \ln \left(3 x -2\right)}{3 \sqrt{\left(3 x -2\right)^{2}}}"," ",0,"1/3/((3*x-2)^2)^(1/2)*(3*x-2)*ln(3*x-2)","A"
70,1,27,18,0.047000," ","int((-(3*x-2)^2)^(1/2),x)","\frac{\left(3 x -4\right) \sqrt{-\left(3 x -2\right)^{2}}\, x}{6 x -4}"," ",0,"1/2*x*(3*x-4)*(-(3*x-2)^2)^(1/2)/(3*x-2)","A"
71,1,25,24,0.049000," ","int(1/(-(3*x-2)^2)^(1/2),x)","\frac{\left(3 x -2\right) \ln \left(3 x -2\right)}{3 \sqrt{-\left(3 x -2\right)^{2}}}"," ",0,"1/3/(-(3*x-2)^2)^(1/2)*(3*x-2)*ln(3*x-2)","A"
72,1,27,18,0.045000," ","int((-(3*x+2)^2)^(1/2),x)","\frac{\left(3 x +4\right) \sqrt{-\left(3 x +2\right)^{2}}\, x}{6 x +4}"," ",0,"1/2*x*(3*x+4)*(-(3*x+2)^2)^(1/2)/(3*x+2)","A"
73,1,25,24,0.049000," ","int(1/(-(3*x+2)^2)^(1/2),x)","\frac{\left(3 x +2\right) \ln \left(3 x +2\right)}{3 \sqrt{-\left(3 x +2\right)^{2}}}"," ",0,"1/3*(3*x+2)/(-(3*x+2)^2)^(1/2)*ln(3*x+2)","A"
74,1,636,97,0.039000," ","int((1/4*(b^2-1)/c+b*x+c*x^2)^5,x)","\frac{c^{5} x^{11}}{11}+\frac{b \,c^{4} x^{10}}{2}+\frac{\left(4 b^{2} c^{3}+\frac{\left(b^{2}-1\right) c^{3}}{4}+\left(4 b^{2} c^{2}+2 \left(\frac{3 b^{2}}{2}-\frac{1}{2}\right) c^{2}\right) c \right) x^{9}}{9}+\frac{\left(\left(b^{2}-1\right) b \,c^{2}+\left(4 b^{2} c^{2}+2 \left(\frac{3 b^{2}}{2}-\frac{1}{2}\right) c^{2}\right) b +\left(\left(b^{2}-1\right) b c +4 \left(\frac{3 b^{2}}{2}-\frac{1}{2}\right) b c \right) c \right) x^{8}}{8}+\frac{\left(\left(\left(b^{2}-1\right) b c +4 \left(\frac{3 b^{2}}{2}-\frac{1}{2}\right) b c \right) b +\left(2 \left(b^{2}-1\right) b^{2}+\frac{\left(b^{2}-1\right)^{2}}{8}+\left(\frac{3 b^{2}}{2}-\frac{1}{2}\right)^{2}\right) c +\frac{\left(b^{2}-1\right) \left(4 b^{2} c^{2}+2 \left(\frac{3 b^{2}}{2}-\frac{1}{2}\right) c^{2}\right)}{4 c}\right) x^{7}}{7}+\frac{\left(\left(2 \left(b^{2}-1\right) b^{2}+\frac{\left(b^{2}-1\right)^{2}}{8}+\left(\frac{3 b^{2}}{2}-\frac{1}{2}\right)^{2}\right) b +\left(\frac{\left(b^{2}-1\right)^{2} b}{4 c}+\frac{\left(b^{2}-1\right) \left(\frac{3 b^{2}}{2}-\frac{1}{2}\right) b}{c}\right) c +\frac{\left(b^{2}-1\right) \left(\left(b^{2}-1\right) b c +4 \left(\frac{3 b^{2}}{2}-\frac{1}{2}\right) b c \right)}{4 c}\right) x^{6}}{6}+\frac{\left(\left(\frac{\left(b^{2}-1\right)^{2} b}{4 c}+\frac{\left(b^{2}-1\right) \left(\frac{3 b^{2}}{2}-\frac{1}{2}\right) b}{c}\right) b +\left(\frac{\left(b^{2}-1\right)^{2} b^{2}}{4 c^{2}}+\frac{\left(b^{2}-1\right)^{2} \left(\frac{3 b^{2}}{2}-\frac{1}{2}\right)}{8 c^{2}}\right) c +\frac{\left(b^{2}-1\right) \left(2 \left(b^{2}-1\right) b^{2}+\frac{\left(b^{2}-1\right)^{2}}{8}+\left(\frac{3 b^{2}}{2}-\frac{1}{2}\right)^{2}\right)}{4 c}\right) x^{5}}{5}+\frac{\left(\left(\frac{\left(b^{2}-1\right)^{2} b^{2}}{4 c^{2}}+\frac{\left(b^{2}-1\right)^{2} \left(\frac{3 b^{2}}{2}-\frac{1}{2}\right)}{8 c^{2}}\right) b +\frac{\left(b^{2}-1\right)^{3} b}{16 c^{2}}+\frac{\left(b^{2}-1\right) \left(\frac{\left(b^{2}-1\right)^{2} b}{4 c}+\frac{\left(b^{2}-1\right) \left(\frac{3 b^{2}}{2}-\frac{1}{2}\right) b}{c}\right)}{4 c}\right) x^{4}}{4}+\frac{\left(\frac{\left(b^{2}-1\right)^{3} b^{2}}{16 c^{3}}+\frac{\left(b^{2}-1\right) \left(\frac{\left(b^{2}-1\right)^{2} b^{2}}{4 c^{2}}+\frac{\left(b^{2}-1\right)^{2} \left(\frac{3 b^{2}}{2}-\frac{1}{2}\right)}{8 c^{2}}\right)}{4 c}+\frac{\left(b^{2}-1\right)^{4}}{256 c^{3}}\right) x^{3}}{3}+\frac{5 \left(b^{2}-1\right)^{4} b \,x^{2}}{512 c^{4}}+\frac{\left(b^{2}-1\right)^{5} x}{1024 c^{5}}"," ",0,"1/11*c^5*x^11+1/2*b*c^4*x^10+1/9*(1/4*(b^2-1)*c^3+4*b^2*c^3+c*(2*(3/2*b^2-1/2)*c^2+4*b^2*c^2))*x^9+1/8*((b^2-1)*c^2*b+b*(2*(3/2*b^2-1/2)*c^2+4*b^2*c^2)+c*((b^2-1)*c*b+4*(3/2*b^2-1/2)*b*c))*x^8+1/7*(1/4*(b^2-1)/c*(2*(3/2*b^2-1/2)*c^2+4*b^2*c^2)+b*((b^2-1)*c*b+4*(3/2*b^2-1/2)*b*c)+c*(1/8*(b^2-1)^2+2*(b^2-1)*b^2+(3/2*b^2-1/2)^2))*x^7+1/6*(1/4*(b^2-1)/c*((b^2-1)*c*b+4*(3/2*b^2-1/2)*b*c)+b*(1/8*(b^2-1)^2+2*(b^2-1)*b^2+(3/2*b^2-1/2)^2)+c*(1/4*(b^2-1)^2/c*b+(b^2-1)/c*b*(3/2*b^2-1/2)))*x^6+1/5*(1/4*(b^2-1)/c*(1/8*(b^2-1)^2+2*(b^2-1)*b^2+(3/2*b^2-1/2)^2)+b*(1/4*(b^2-1)^2/c*b+(b^2-1)/c*b*(3/2*b^2-1/2))+c*(1/8*(b^2-1)^2/c^2*(3/2*b^2-1/2)+1/4*(b^2-1)^2/c^2*b^2))*x^5+1/4*(1/4*(b^2-1)/c*(1/4*(b^2-1)^2/c*b+(b^2-1)/c*b*(3/2*b^2-1/2))+b*(1/8*(b^2-1)^2/c^2*(3/2*b^2-1/2)+1/4*(b^2-1)^2/c^2*b^2)+1/16/c^2*(b^2-1)^3*b)*x^4+1/3*(1/4*(b^2-1)/c*(1/8*(b^2-1)^2/c^2*(3/2*b^2-1/2)+1/4*(b^2-1)^2/c^2*b^2)+1/16*b^2*(b^2-1)^3/c^3+1/256/c^3*(b^2-1)^4)*x^3+5/512*(b^2-1)^4/c^4*b*x^2+1/1024*(b^2-1)^5/c^5*x","B"
75,1,636,97,0.045000," ","int((1/4*(b^2-4)/c+b*x+c*x^2)^5,x)","\frac{c^{5} x^{11}}{11}+\frac{b \,c^{4} x^{10}}{2}+\frac{\left(4 b^{2} c^{3}+\frac{\left(b^{2}-4\right) c^{3}}{4}+\left(4 b^{2} c^{2}+2 \left(\frac{3 b^{2}}{2}-2\right) c^{2}\right) c \right) x^{9}}{9}+\frac{\left(\left(b^{2}-4\right) b \,c^{2}+\left(4 b^{2} c^{2}+2 \left(\frac{3 b^{2}}{2}-2\right) c^{2}\right) b +\left(\left(b^{2}-4\right) b c +4 \left(\frac{3 b^{2}}{2}-2\right) b c \right) c \right) x^{8}}{8}+\frac{\left(\left(\left(b^{2}-4\right) b c +4 \left(\frac{3 b^{2}}{2}-2\right) b c \right) b +\left(2 \left(b^{2}-4\right) b^{2}+\frac{\left(b^{2}-4\right)^{2}}{8}+\left(\frac{3 b^{2}}{2}-2\right)^{2}\right) c +\frac{\left(b^{2}-4\right) \left(4 b^{2} c^{2}+2 \left(\frac{3 b^{2}}{2}-2\right) c^{2}\right)}{4 c}\right) x^{7}}{7}+\frac{\left(\left(2 \left(b^{2}-4\right) b^{2}+\frac{\left(b^{2}-4\right)^{2}}{8}+\left(\frac{3 b^{2}}{2}-2\right)^{2}\right) b +\left(\frac{\left(b^{2}-4\right)^{2} b}{4 c}+\frac{\left(b^{2}-4\right) \left(\frac{3 b^{2}}{2}-2\right) b}{c}\right) c +\frac{\left(b^{2}-4\right) \left(\left(b^{2}-4\right) b c +4 \left(\frac{3 b^{2}}{2}-2\right) b c \right)}{4 c}\right) x^{6}}{6}+\frac{\left(\left(\frac{\left(b^{2}-4\right)^{2} b}{4 c}+\frac{\left(b^{2}-4\right) \left(\frac{3 b^{2}}{2}-2\right) b}{c}\right) b +\left(\frac{\left(b^{2}-4\right)^{2} b^{2}}{4 c^{2}}+\frac{\left(b^{2}-4\right)^{2} \left(\frac{3 b^{2}}{2}-2\right)}{8 c^{2}}\right) c +\frac{\left(b^{2}-4\right) \left(2 \left(b^{2}-4\right) b^{2}+\frac{\left(b^{2}-4\right)^{2}}{8}+\left(\frac{3 b^{2}}{2}-2\right)^{2}\right)}{4 c}\right) x^{5}}{5}+\frac{\left(\left(\frac{\left(b^{2}-4\right)^{2} b^{2}}{4 c^{2}}+\frac{\left(b^{2}-4\right)^{2} \left(\frac{3 b^{2}}{2}-2\right)}{8 c^{2}}\right) b +\frac{\left(b^{2}-4\right)^{3} b}{16 c^{2}}+\frac{\left(b^{2}-4\right) \left(\frac{\left(b^{2}-4\right)^{2} b}{4 c}+\frac{\left(b^{2}-4\right) \left(\frac{3 b^{2}}{2}-2\right) b}{c}\right)}{4 c}\right) x^{4}}{4}+\frac{\left(\frac{\left(b^{2}-4\right)^{3} b^{2}}{16 c^{3}}+\frac{\left(b^{2}-4\right) \left(\frac{\left(b^{2}-4\right)^{2} b^{2}}{4 c^{2}}+\frac{\left(b^{2}-4\right)^{2} \left(\frac{3 b^{2}}{2}-2\right)}{8 c^{2}}\right)}{4 c}+\frac{\left(b^{2}-4\right)^{4}}{256 c^{3}}\right) x^{3}}{3}+\frac{5 \left(b^{2}-4\right)^{4} b \,x^{2}}{512 c^{4}}+\frac{\left(b^{2}-4\right)^{5} x}{1024 c^{5}}"," ",0,"1/11*c^5*x^11+1/2*b*c^4*x^10+1/9*(1/4*(b^2-4)*c^3+4*b^2*c^3+c*(2*(3/2*b^2-2)*c^2+4*b^2*c^2))*x^9+1/8*((b^2-4)*c^2*b+b*(2*(3/2*b^2-2)*c^2+4*b^2*c^2)+c*((b^2-4)*c*b+4*(3/2*b^2-2)*b*c))*x^8+1/7*(1/4*(b^2-4)/c*(2*(3/2*b^2-2)*c^2+4*b^2*c^2)+b*((b^2-4)*c*b+4*(3/2*b^2-2)*b*c)+c*(1/8*(b^2-4)^2+2*(b^2-4)*b^2+(3/2*b^2-2)^2))*x^7+1/6*(1/4*(b^2-4)/c*((b^2-4)*c*b+4*(3/2*b^2-2)*b*c)+b*(1/8*(b^2-4)^2+2*(b^2-4)*b^2+(3/2*b^2-2)^2)+c*(1/4*(b^2-4)^2/c*b+(b^2-4)/c*b*(3/2*b^2-2)))*x^6+1/5*(1/4*(b^2-4)/c*(1/8*(b^2-4)^2+2*(b^2-4)*b^2+(3/2*b^2-2)^2)+b*(1/4*(b^2-4)^2/c*b+(b^2-4)/c*b*(3/2*b^2-2))+c*(1/8*(b^2-4)^2/c^2*(3/2*b^2-2)+1/4*(b^2-4)^2/c^2*b^2))*x^5+1/4*(1/4*(b^2-4)/c*(1/4*(b^2-4)^2/c*b+(b^2-4)/c*b*(3/2*b^2-2))+b*(1/8*(b^2-4)^2/c^2*(3/2*b^2-2)+1/4*(b^2-4)^2/c^2*b^2)+1/16/c^2*(b^2-4)^3*b)*x^4+1/3*(1/4*(b^2-4)/c*(1/8*(b^2-4)^2/c^2*(3/2*b^2-2)+1/4*(b^2-4)^2/c^2*b^2)+1/16*b^2*(b^2-4)^3/c^3+1/256/c^3*(b^2-4)^4)*x^3+5/512*(b^2-4)^4/c^4*b*x^2+1/1024*(b^2-4)^5/c^5*x","B"
76,1,636,97,0.039000," ","int((1/4*(b^2-9)/c+b*x+c*x^2)^5,x)","\frac{c^{5} x^{11}}{11}+\frac{b \,c^{4} x^{10}}{2}+\frac{\left(4 b^{2} c^{3}+\frac{\left(b^{2}-9\right) c^{3}}{4}+\left(4 b^{2} c^{2}+2 \left(\frac{3 b^{2}}{2}-\frac{9}{2}\right) c^{2}\right) c \right) x^{9}}{9}+\frac{\left(\left(b^{2}-9\right) b \,c^{2}+\left(4 b^{2} c^{2}+2 \left(\frac{3 b^{2}}{2}-\frac{9}{2}\right) c^{2}\right) b +\left(\left(b^{2}-9\right) b c +4 \left(\frac{3 b^{2}}{2}-\frac{9}{2}\right) b c \right) c \right) x^{8}}{8}+\frac{\left(\left(\left(b^{2}-9\right) b c +4 \left(\frac{3 b^{2}}{2}-\frac{9}{2}\right) b c \right) b +\left(2 \left(b^{2}-9\right) b^{2}+\frac{\left(b^{2}-9\right)^{2}}{8}+\left(\frac{3 b^{2}}{2}-\frac{9}{2}\right)^{2}\right) c +\frac{\left(b^{2}-9\right) \left(4 b^{2} c^{2}+2 \left(\frac{3 b^{2}}{2}-\frac{9}{2}\right) c^{2}\right)}{4 c}\right) x^{7}}{7}+\frac{\left(\left(2 \left(b^{2}-9\right) b^{2}+\frac{\left(b^{2}-9\right)^{2}}{8}+\left(\frac{3 b^{2}}{2}-\frac{9}{2}\right)^{2}\right) b +\left(\frac{\left(b^{2}-9\right)^{2} b}{4 c}+\frac{\left(b^{2}-9\right) \left(\frac{3 b^{2}}{2}-\frac{9}{2}\right) b}{c}\right) c +\frac{\left(b^{2}-9\right) \left(\left(b^{2}-9\right) b c +4 \left(\frac{3 b^{2}}{2}-\frac{9}{2}\right) b c \right)}{4 c}\right) x^{6}}{6}+\frac{\left(\left(\frac{\left(b^{2}-9\right)^{2} b}{4 c}+\frac{\left(b^{2}-9\right) \left(\frac{3 b^{2}}{2}-\frac{9}{2}\right) b}{c}\right) b +\left(\frac{\left(b^{2}-9\right)^{2} b^{2}}{4 c^{2}}+\frac{\left(b^{2}-9\right)^{2} \left(\frac{3 b^{2}}{2}-\frac{9}{2}\right)}{8 c^{2}}\right) c +\frac{\left(b^{2}-9\right) \left(2 \left(b^{2}-9\right) b^{2}+\frac{\left(b^{2}-9\right)^{2}}{8}+\left(\frac{3 b^{2}}{2}-\frac{9}{2}\right)^{2}\right)}{4 c}\right) x^{5}}{5}+\frac{\left(\left(\frac{\left(b^{2}-9\right)^{2} b^{2}}{4 c^{2}}+\frac{\left(b^{2}-9\right)^{2} \left(\frac{3 b^{2}}{2}-\frac{9}{2}\right)}{8 c^{2}}\right) b +\frac{\left(b^{2}-9\right)^{3} b}{16 c^{2}}+\frac{\left(b^{2}-9\right) \left(\frac{\left(b^{2}-9\right)^{2} b}{4 c}+\frac{\left(b^{2}-9\right) \left(\frac{3 b^{2}}{2}-\frac{9}{2}\right) b}{c}\right)}{4 c}\right) x^{4}}{4}+\frac{\left(\frac{\left(b^{2}-9\right)^{3} b^{2}}{16 c^{3}}+\frac{\left(b^{2}-9\right) \left(\frac{\left(b^{2}-9\right)^{2} b^{2}}{4 c^{2}}+\frac{\left(b^{2}-9\right)^{2} \left(\frac{3 b^{2}}{2}-\frac{9}{2}\right)}{8 c^{2}}\right)}{4 c}+\frac{\left(b^{2}-9\right)^{4}}{256 c^{3}}\right) x^{3}}{3}+\frac{5 \left(b^{2}-9\right)^{4} b \,x^{2}}{512 c^{4}}+\frac{\left(b^{2}-9\right)^{5} x}{1024 c^{5}}"," ",0,"1/11*c^5*x^11+1/2*b*c^4*x^10+1/9*(1/4*(b^2-9)*c^3+4*b^2*c^3+c*(2*(3/2*b^2-9/2)*c^2+4*b^2*c^2))*x^9+1/8*((b^2-9)*c^2*b+b*(2*(3/2*b^2-9/2)*c^2+4*b^2*c^2)+c*((b^2-9)*c*b+4*(3/2*b^2-9/2)*b*c))*x^8+1/7*(1/4*(b^2-9)/c*(2*(3/2*b^2-9/2)*c^2+4*b^2*c^2)+b*((b^2-9)*c*b+4*(3/2*b^2-9/2)*b*c)+c*(1/8*(b^2-9)^2+2*(b^2-9)*b^2+(3/2*b^2-9/2)^2))*x^7+1/6*(1/4*(b^2-9)/c*((b^2-9)*c*b+4*(3/2*b^2-9/2)*b*c)+b*(1/8*(b^2-9)^2+2*(b^2-9)*b^2+(3/2*b^2-9/2)^2)+c*(1/4*(b^2-9)^2/c*b+(b^2-9)/c*b*(3/2*b^2-9/2)))*x^6+1/5*(1/4*(b^2-9)/c*(1/8*(b^2-9)^2+2*(b^2-9)*b^2+(3/2*b^2-9/2)^2)+b*(1/4*(b^2-9)^2/c*b+(b^2-9)/c*b*(3/2*b^2-9/2))+c*(1/8*(b^2-9)^2/c^2*(3/2*b^2-9/2)+1/4*(b^2-9)^2/c^2*b^2))*x^5+1/4*(1/4*(b^2-9)/c*(1/4*(b^2-9)^2/c*b+(b^2-9)/c*b*(3/2*b^2-9/2))+b*(1/8*(b^2-9)^2/c^2*(3/2*b^2-9/2)+1/4*(b^2-9)^2/c^2*b^2)+1/16/c^2*(b^2-9)^3*b)*x^4+1/3*(1/4*(b^2-9)/c*(1/8*(b^2-9)^2/c^2*(3/2*b^2-9/2)+1/4*(b^2-9)^2/c^2*b^2)+1/16*b^2*(b^2-9)^3/c^3+1/256/c^3*(b^2-9)^4)*x^3+5/512*(b^2-9)^4/c^4*b*x^2+1/1024*(b^2-9)^5/c^5*x","B"
77,1,636,97,0.040000," ","int((1/4*(b^2-16)/c+b*x+c*x^2)^5,x)","\frac{c^{5} x^{11}}{11}+\frac{b \,c^{4} x^{10}}{2}+\frac{\left(4 b^{2} c^{3}+\frac{\left(b^{2}-16\right) c^{3}}{4}+\left(4 b^{2} c^{2}+2 \left(\frac{3 b^{2}}{2}-8\right) c^{2}\right) c \right) x^{9}}{9}+\frac{\left(\left(b^{2}-16\right) b \,c^{2}+\left(4 b^{2} c^{2}+2 \left(\frac{3 b^{2}}{2}-8\right) c^{2}\right) b +\left(\left(b^{2}-16\right) b c +4 \left(\frac{3 b^{2}}{2}-8\right) b c \right) c \right) x^{8}}{8}+\frac{\left(\left(\left(b^{2}-16\right) b c +4 \left(\frac{3 b^{2}}{2}-8\right) b c \right) b +\left(2 \left(b^{2}-16\right) b^{2}+\frac{\left(b^{2}-16\right)^{2}}{8}+\left(\frac{3 b^{2}}{2}-8\right)^{2}\right) c +\frac{\left(b^{2}-16\right) \left(4 b^{2} c^{2}+2 \left(\frac{3 b^{2}}{2}-8\right) c^{2}\right)}{4 c}\right) x^{7}}{7}+\frac{\left(\left(2 \left(b^{2}-16\right) b^{2}+\frac{\left(b^{2}-16\right)^{2}}{8}+\left(\frac{3 b^{2}}{2}-8\right)^{2}\right) b +\left(\frac{\left(b^{2}-16\right)^{2} b}{4 c}+\frac{\left(b^{2}-16\right) \left(\frac{3 b^{2}}{2}-8\right) b}{c}\right) c +\frac{\left(b^{2}-16\right) \left(\left(b^{2}-16\right) b c +4 \left(\frac{3 b^{2}}{2}-8\right) b c \right)}{4 c}\right) x^{6}}{6}+\frac{\left(\left(\frac{\left(b^{2}-16\right)^{2} b}{4 c}+\frac{\left(b^{2}-16\right) \left(\frac{3 b^{2}}{2}-8\right) b}{c}\right) b +\left(\frac{\left(b^{2}-16\right)^{2} b^{2}}{4 c^{2}}+\frac{\left(b^{2}-16\right)^{2} \left(\frac{3 b^{2}}{2}-8\right)}{8 c^{2}}\right) c +\frac{\left(b^{2}-16\right) \left(2 \left(b^{2}-16\right) b^{2}+\frac{\left(b^{2}-16\right)^{2}}{8}+\left(\frac{3 b^{2}}{2}-8\right)^{2}\right)}{4 c}\right) x^{5}}{5}+\frac{\left(\left(\frac{\left(b^{2}-16\right)^{2} b^{2}}{4 c^{2}}+\frac{\left(b^{2}-16\right)^{2} \left(\frac{3 b^{2}}{2}-8\right)}{8 c^{2}}\right) b +\frac{\left(b^{2}-16\right)^{3} b}{16 c^{2}}+\frac{\left(b^{2}-16\right) \left(\frac{\left(b^{2}-16\right)^{2} b}{4 c}+\frac{\left(b^{2}-16\right) \left(\frac{3 b^{2}}{2}-8\right) b}{c}\right)}{4 c}\right) x^{4}}{4}+\frac{\left(\frac{\left(b^{2}-16\right)^{3} b^{2}}{16 c^{3}}+\frac{\left(b^{2}-16\right) \left(\frac{\left(b^{2}-16\right)^{2} b^{2}}{4 c^{2}}+\frac{\left(b^{2}-16\right)^{2} \left(\frac{3 b^{2}}{2}-8\right)}{8 c^{2}}\right)}{4 c}+\frac{\left(b^{2}-16\right)^{4}}{256 c^{3}}\right) x^{3}}{3}+\frac{5 \left(b^{2}-16\right)^{4} b \,x^{2}}{512 c^{4}}+\frac{\left(b^{2}-16\right)^{5} x}{1024 c^{5}}"," ",0,"1/11*c^5*x^11+1/2*b*c^4*x^10+1/9*(1/4*(b^2-16)*c^3+4*b^2*c^3+c*(2*(3/2*b^2-8)*c^2+4*b^2*c^2))*x^9+1/8*((b^2-16)*c^2*b+b*(2*(3/2*b^2-8)*c^2+4*b^2*c^2)+c*((b^2-16)*c*b+4*(3/2*b^2-8)*b*c))*x^8+1/7*(1/4*(b^2-16)/c*(2*(3/2*b^2-8)*c^2+4*b^2*c^2)+b*((b^2-16)*c*b+4*(3/2*b^2-8)*b*c)+c*(1/8*(b^2-16)^2+2*(b^2-16)*b^2+(3/2*b^2-8)^2))*x^7+1/6*(1/4*(b^2-16)/c*((b^2-16)*c*b+4*(3/2*b^2-8)*b*c)+b*(1/8*(b^2-16)^2+2*(b^2-16)*b^2+(3/2*b^2-8)^2)+c*(1/4*(b^2-16)^2/c*b+(b^2-16)/c*b*(3/2*b^2-8)))*x^6+1/5*(1/4*(b^2-16)/c*(1/8*(b^2-16)^2+2*(b^2-16)*b^2+(3/2*b^2-8)^2)+b*(1/4*(b^2-16)^2/c*b+(b^2-16)/c*b*(3/2*b^2-8))+c*(1/8*(b^2-16)^2/c^2*(3/2*b^2-8)+1/4*(b^2-16)^2/c^2*b^2))*x^5+1/4*(1/4*(b^2-16)/c*(1/4*(b^2-16)^2/c*b+(b^2-16)/c*b*(3/2*b^2-8))+b*(1/8*(b^2-16)^2/c^2*(3/2*b^2-8)+1/4*(b^2-16)^2/c^2*b^2)+1/16/c^2*(b^2-16)^3*b)*x^4+1/3*(1/4*(b^2-16)/c*(1/8*(b^2-16)^2/c^2*(3/2*b^2-8)+1/4*(b^2-16)^2/c^2*b^2)+1/16*b^2*(b^2-16)^3/c^3+1/256/c^3*(b^2-16)^4)*x^3+5/512*(b^2-16)^4/c^4*b*x^2+1/1024*(b^2-16)^5/c^5*x","B"
78,1,17,16,0.042000," ","int(1/(3*x^2+4*x+2),x)","\frac{\sqrt{2}\, \arctan \left(\frac{\left(6 x +4\right) \sqrt{2}}{4}\right)}{2}"," ",0,"1/2*2^(1/2)*arctan(1/4*(6*x+4)*2^(1/2))","A"
79,1,9,8,0.099000," ","int(1/(4+x^2-2*3^(1/2)*x),x)","\arctan \left(x -\sqrt{3}\right)"," ",0,"arctan(x-3^(1/2))","A"
80,1,17,16,0.043000," ","int(1/(-3*x^2+4*x+2),x)","\frac{\sqrt{10}\, \arctanh \left(\frac{\left(6 x -4\right) \sqrt{10}}{20}\right)}{10}"," ",0,"1/10*10^(1/2)*arctanh(1/20*(6*x-4)*10^(1/2))","A"
81,1,14,13,0.049000," ","int(1/(3*x^2+5*x+2),x)","\ln \left(3 x +2\right)-\ln \left(x +1\right)"," ",0,"-ln(x+1)+ln(3*x+2)","A"
82,1,16,17,0.050000," ","int(1/(-3*x^2+5*x+2),x)","\frac{\ln \left(3 x +1\right)}{7}-\frac{\ln \left(x -2\right)}{7}"," ",0,"-1/7*ln(x-2)+1/7*ln(1+3*x)","A"
83,1,14,6,0.048000," ","int(1/(x^2+4*x+3),x)","-\frac{\ln \left(x +3\right)}{2}+\frac{\ln \left(x +1\right)}{2}"," ",0,"1/2*ln(x+1)-1/2*ln(3+x)","B"
84,1,24,23,0.056000," ","int(1/(Pi*x+2*x^2+1),x)","-\frac{2 \arctanh \left(\frac{4 x +\pi}{\sqrt{\pi^{2}-8}}\right)}{\sqrt{\pi^{2}-8}}"," ",0,"-2*arctanh((Pi+4*x)/(Pi^2-8)^(1/2))/(Pi^2-8)^(1/2)","A"
85,1,26,23,0.050000," ","int(1/(Pi*x-2*x^2+1),x)","\frac{2 \arctanh \left(\frac{4 x -\pi}{\sqrt{\pi^{2}+8}}\right)}{\sqrt{\pi^{2}+8}}"," ",0,"2/(Pi^2+8)^(1/2)*arctanh((4*x-Pi)/(Pi^2+8)^(1/2))","A"
86,1,28,27,0.049000," ","int(1/(Pi*x+3*x^2+1),x)","\frac{2 \arctan \left(\frac{6 x +\pi}{\sqrt{-\pi^{2}+12}}\right)}{\sqrt{-\pi^{2}+12}}"," ",0,"2*arctan((Pi+6*x)/(-Pi^2+12)^(1/2))/(-Pi^2+12)^(1/2)","A"
87,1,26,23,0.051000," ","int(1/(Pi*x-3*x^2+1),x)","\frac{2 \arctanh \left(\frac{6 x -\pi}{\sqrt{\pi^{2}+12}}\right)}{\sqrt{\pi^{2}+12}}"," ",0,"2/(Pi^2+12)^(1/2)*arctanh((6*x-Pi)/(Pi^2+12)^(1/2))","A"
88,1,35,34,0.062000," ","int(1/(b*x^2+c*x+a),x)","\frac{2 \arctan \left(\frac{2 b x +c}{\sqrt{4 a b -c^{2}}}\right)}{\sqrt{4 a b -c^{2}}}"," ",0,"2*arctan((2*b*x+c)/(4*a*b-c^2)^(1/2))/(4*a*b-c^2)^(1/2)","A"
89,1,35,31,0.064000," ","int(1/(b*x^2+2*a*x+b),x)","\frac{\arctan \left(\frac{2 b x +2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{\sqrt{-a^{2}+b^{2}}}"," ",0,"1/(-a^2+b^2)^(1/2)*arctan(1/2*(2*b*x+2*a)/(-a^2+b^2)^(1/2))","A"
90,1,31,28,0.072000," ","int(1/(-b*x^2+2*a*x+b),x)","\frac{\arctanh \left(\frac{2 b x -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}}"," ",0,"1/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*x-2*a)/(a^2+b^2)^(1/2))","A"
91,1,37,36,0.037000," ","int(1/(3*x^2+4*x+2)^2,x)","\frac{3 \sqrt{2}\, \arctan \left(\frac{\left(6 x +4\right) \sqrt{2}}{4}\right)}{8}+\frac{6 x +4}{24 x^{2}+32 x +16}"," ",0,"1/8*(6*x+4)/(3*x^2+4*x+2)+3/8*2^(1/2)*arctan(1/4*(6*x+4)*2^(1/2))","A"
92,1,37,36,0.055000," ","int(1/(-3*x^2+4*x+2)^2,x)","\frac{3 \sqrt{10}\, \arctanh \left(\frac{\left(6 x -4\right) \sqrt{10}}{20}\right)}{200}-\frac{6 x -4}{40 \left(3 x^{2}-4 x -2\right)}"," ",0,"-1/40*(6*x-4)/(3*x^2-4*x-2)+3/200*10^(1/2)*arctanh(1/20*(6*x-4)*10^(1/2))","A"
93,1,32,33,0.053000," ","int(1/(3*x^2+5*x+2)^2,x)","-6 \ln \left(3 x +2\right)+6 \ln \left(x +1\right)-\frac{3}{3 x +2}-\frac{1}{x +1}"," ",0,"-3/(3*x+2)-6*ln(3*x+2)-1/(x+1)+6*ln(x+1)","A"
94,1,32,36,0.049000," ","int(1/(-3*x^2+5*x+2)^2,x)","\frac{6 \ln \left(3 x +1\right)}{343}-\frac{6 \ln \left(x -2\right)}{343}-\frac{1}{49 \left(x -2\right)}-\frac{3}{49 \left(3 x +1\right)}"," ",0,"-1/49/(x-2)-6/343*ln(x-2)-3/49/(3*x+1)+6/343*ln(3*x+1)","A"
95,1,68,67,0.056000," ","int(1/(b*x^2+c*x+a)^2,x)","\frac{4 b \arctan \left(\frac{2 b x +c}{\sqrt{4 a b -c^{2}}}\right)}{\left(4 a b -c^{2}\right)^{\frac{3}{2}}}+\frac{2 b x +c}{\left(4 a b -c^{2}\right) \left(b \,x^{2}+c x +a \right)}"," ",0,"(2*b*x+c)/(4*a*b-c^2)/(b*x^2+c*x+a)+4*b*arctan((2*b*x+c)/(4*a*b-c^2)^(1/2))/(4*a*b-c^2)^(3/2)","A"
96,1,86,67,0.048000," ","int(1/(b*x^2+2*a*x+b)^2,x)","\frac{2 b \arctan \left(\frac{2 b x +2 a}{2 \sqrt{-a^{2}+b^{2}}}\right)}{\left(-4 a^{2}+4 b^{2}\right) \sqrt{-a^{2}+b^{2}}}+\frac{2 b x +2 a}{\left(-4 a^{2}+4 b^{2}\right) \left(b \,x^{2}+2 a x +b \right)}"," ",0,"(2*b*x+2*a)/(-4*a^2+4*b^2)/(b*x^2+2*a*x+b)+2*b/(-4*a^2+4*b^2)/(-a^2+b^2)^(1/2)*arctan(1/2*(2*b*x+2*a)/(-a^2+b^2)^(1/2))","A"
97,1,84,62,0.052000," ","int(1/(-b*x^2+2*a*x+b)^2,x)","-\frac{2 b \arctanh \left(\frac{2 b x -2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\left(-4 a^{2}-4 b^{2}\right) \sqrt{a^{2}+b^{2}}}+\frac{2 b x -2 a}{\left(-4 a^{2}-4 b^{2}\right) \left(b \,x^{2}-2 a x -b \right)}"," ",0,"(2*b*x-2*a)/(-4*a^2-4*b^2)/(b*x^2-2*a*x-b)-2*b/(-4*a^2-4*b^2)/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*x-2*a)/(a^2+b^2)^(1/2))","A"
98,1,111,62,0.573000," ","int(1/((a/b)^(2/n)+x^2-2*(a/b)^(1/n)*x*cos((-2*Pi*k+Pi)/n)),x)","\frac{\arctan \left(\frac{-2 \left(\frac{a}{b}\right)^{\frac{1}{n}} \cos \left(\frac{\pi  \left(2 k -1\right)}{n}\right)+2 x}{2 \sqrt{-\left(\frac{a}{b}\right)^{\frac{2}{n}} \left(\cos^{2}\left(\frac{\pi  \left(2 k -1\right)}{n}\right)\right)+\left(\frac{a}{b}\right)^{\frac{2}{n}}}}\right)}{\sqrt{-\left(\frac{a}{b}\right)^{\frac{2}{n}} \left(\cos^{2}\left(\frac{\pi  \left(2 k -1\right)}{n}\right)\right)+\left(\frac{a}{b}\right)^{\frac{2}{n}}}}"," ",0,"1/(-cos(Pi*(2*k-1)/n)^2*((a/b)^(1/n))^2+(a/b)^(2/n))^(1/2)*arctan(1/2*(2*x-2*cos(Pi*(2*k-1)/n)*(a/b)^(1/n))/(-cos(Pi*(2*k-1)/n)^2*((a/b)^(1/n))^2+(a/b)^(2/n))^(1/2))","A"
99,1,31,31,0.080000," ","int(1/(a*b-b^2*x^2+x*(-4*a*b^3+b^2)^(1/2)),x)","-\frac{2 \arctanh \left(\frac{-2 b^{2} x +\sqrt{-\left(4 a b -1\right) b^{2}}}{b}\right)}{b}"," ",0,"-2/b*arctanh((-2*b^2*x+(-b^2*(4*a*b-1))^(1/2))/b)","A"
100,1,31,29,0.049000," ","int(1/(a*b-b^2*x^2-x*(-4*a*b^3+b^2)^(1/2)),x)","\frac{2 \arctanh \left(\frac{2 b^{2} x +\sqrt{-\left(4 a b -1\right) b^{2}}}{b}\right)}{b}"," ",0,"2/b*arctanh((2*b^2*x+(-(4*a*b-1)*b^2)^(1/2))/b)","A"
101,1,33,11,0.241000," ","int(1/(1+x^2+2*x*cos(1/7)),x)","\frac{\arctan \left(\frac{2 x +2 \cos \left(\frac{1}{7}\right)}{2 \sqrt{1-\left(\cos^{2}\left(\frac{1}{7}\right)\right)}}\right)}{\sqrt{1-\left(\cos^{2}\left(\frac{1}{7}\right)\right)}}"," ",0,"1/(1-cos(1/7)^2)^(1/2)*arctan(1/2*(2*x+2*cos(1/7))/(1-cos(1/7)^2)^(1/2))","B"
102,1,39,17,0.196000," ","int(1/(1+x^2+2*x*cos(1/7*Pi)),x)","\frac{\arctan \left(\frac{2 x +2 \cos \left(\frac{\pi}{7}\right)}{2 \sqrt{1-\left(\cos^{2}\left(\frac{\pi}{7}\right)\right)}}\right)}{\sqrt{1-\left(\cos^{2}\left(\frac{\pi}{7}\right)\right)}}"," ",0,"1/(1-cos(1/7*Pi)^2)^(1/2)*arctan(1/2*(2*x+2*cos(1/7*Pi))/(1-cos(1/7*Pi)^2)^(1/2))","B"
103,1,29,28,0.055000," ","int((9*x^2-6*x+5)^(1/2),x)","\frac{2 \arcsinh \left(\frac{3 x}{2}-\frac{1}{2}\right)}{3}+\frac{\left(18 x -6\right) \sqrt{9 x^{2}-6 x +5}}{36}"," ",0,"1/36*(18*x-6)*(9*x^2-6*x+5)^(1/2)+2/3*arcsinh(-1/2+3/2*x)","A"
104,1,25,24,0.045000," ","int((-4*x^2-4*x+3)^(1/2),x)","\arcsin \left(x +\frac{1}{2}\right)-\frac{\left(-8 x -4\right) \sqrt{-4 x^{2}-4 x +3}}{16}"," ",0,"-1/16*(-8*x-4)*(-4*x^2-4*x+3)^(1/2)+arcsin(x+1/2)","A"
105,1,50,41,0.053000," ","int((9*x^2+6*x-8)^(1/2),x)","-\frac{\sqrt{9}\, \ln \left(\frac{\left(9 x +3\right) \sqrt{9}}{9}+\sqrt{9 x^{2}+6 x -8}\right)}{2}+\frac{\left(18 x +6\right) \sqrt{9 x^{2}+6 x -8}}{36}"," ",0,"1/36*(18*x+6)*(9*x^2+6*x-8)^(1/2)-1/2*ln(1/9*(9*x+3)*9^(1/2)+(9*x^2+6*x-8)^(1/2))*9^(1/2)","A"
106,1,35,36,0.049000," ","int((3*x^2+4*x+2)^(1/2),x)","\frac{\sqrt{3}\, \arcsinh \left(\frac{3 \sqrt{2}\, \left(x +\frac{2}{3}\right)}{2}\right)}{9}+\frac{\left(6 x +4\right) \sqrt{3 x^{2}+4 x +2}}{12}"," ",0,"1/12*(6*x+4)*(3*x^2+4*x+2)^(1/2)+1/9*3^(1/2)*arcsinh(3/2*2^(1/2)*(x+2/3))","A"
107,1,35,36,0.046000," ","int((-3*x^2+4*x+2)^(1/2),x)","\frac{5 \sqrt{3}\, \arcsin \left(\frac{3 \sqrt{10}\, \left(x -\frac{2}{3}\right)}{10}\right)}{9}-\frac{\left(-6 x +4\right) \sqrt{-3 x^{2}+4 x +2}}{12}"," ",0,"-1/12*(-6*x+4)*(-3*x^2+4*x+2)^(1/2)+5/9*3^(1/2)*arcsin(3/10*10^(1/2)*(x-2/3))","A"
108,1,50,48,0.047000," ","int((3*x^2+5*x+2)^(1/2),x)","-\frac{\sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{72}+\frac{\left(6 x +5\right) \sqrt{3 x^{2}+5 x +2}}{12}"," ",0,"1/12*(5+6*x)*(3*x^2+5*x+2)^(1/2)-1/72*ln(1/3*(5/2+3*x)*3^(1/2)+(3*x^2+5*x+2)^(1/2))*3^(1/2)","A"
109,1,32,31,0.045000," ","int((-3*x^2+5*x+2)^(1/2),x)","\frac{49 \sqrt{3}\, \arcsin \left(\frac{6 x}{7}-\frac{5}{7}\right)}{72}-\frac{\left(-6 x +5\right) \sqrt{-3 x^{2}+5 x +2}}{12}"," ",0,"49/72*arcsin(-5/7+6/7*x)*3^(1/2)-1/12*(5-6*x)*(-3*x^2+5*x+2)^(1/2)","A"
110,1,50,48,0.047000," ","int((3*x^2+4*x-2)^(1/2),x)","-\frac{5 \sqrt{3}\, \ln \left(\frac{\left(3 x +2\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+4 x -2}\right)}{9}+\frac{\left(6 x +4\right) \sqrt{3 x^{2}+4 x -2}}{12}"," ",0,"1/12*(6*x+4)*(3*x^2+4*x-2)^(1/2)-5/9*ln(1/3*(3*x+2)*3^(1/2)+(3*x^2+4*x-2)^(1/2))*3^(1/2)","A"
111,1,46,48,0.050000," ","int((-3*x^2+4*x-2)^(1/2),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(x -\frac{2}{3}\right)}{\sqrt{-3 x^{2}+4 x -2}}\right)}{9}-\frac{\left(-6 x +4\right) \sqrt{-3 x^{2}+4 x -2}}{12}"," ",0,"-1/12*(-6*x+4)*(-3*x^2+4*x-2)^(1/2)-1/9*3^(1/2)*arctan(3^(1/2)*(x-2/3)/(-3*x^2+4*x-2)^(1/2))","A"
112,1,50,48,0.046000," ","int((3*x^2+5*x-2)^(1/2),x)","-\frac{49 \sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x -2}\right)}{72}+\frac{\left(6 x +5\right) \sqrt{3 x^{2}+5 x -2}}{12}"," ",0,"1/12*(6*x+5)*(3*x^2+5*x-2)^(1/2)-49/72*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x-2)^(1/2))*3^(1/2)","A"
113,1,32,31,0.043000," ","int((-3*x^2+5*x-2)^(1/2),x)","\frac{\sqrt{3}\, \arcsin \left(6 x -5\right)}{72}-\frac{\left(-6 x +5\right) \sqrt{-3 x^{2}+5 x -2}}{12}"," ",0,"1/72*arcsin(-5+6*x)*3^(1/2)-1/12*(-6*x+5)*(-3*x^2+5*x-2)^(1/2)","A"
114,1,9,8,0.044000," ","int(1/(9*x^2-6*x+5)^(1/2),x)","\frac{\arcsinh \left(\frac{3 x}{2}-\frac{1}{2}\right)}{3}"," ",0,"1/3*arcsinh(3/2*x-1/2)","A"
115,1,7,6,0.046000," ","int(1/(-4*x^2-4*x+3)^(1/2),x)","\frac{\arcsin \left(x +\frac{1}{2}\right)}{2}"," ",0,"1/2*arcsin(x+1/2)","A"
116,1,30,21,0.045000," ","int(1/(9*x^2+6*x-8)^(1/2),x)","\frac{\sqrt{9}\, \ln \left(\frac{\left(9 x +3\right) \sqrt{9}}{9}+\sqrt{9 x^{2}+6 x -8}\right)}{9}"," ",0,"1/9*9^(1/2)*ln(1/9*(9*x+3)*9^(1/2)+(9*x^2+6*x-8)^(1/2))","A"
117,1,15,16,0.049000," ","int(1/(3*x^2+4*x+2)^(1/2),x)","\frac{\sqrt{3}\, \arcsinh \left(\frac{3 \sqrt{2}\, \left(x +\frac{2}{3}\right)}{2}\right)}{3}"," ",0,"1/3*3^(1/2)*arcsinh(3/2*2^(1/2)*(x+2/3))","A"
118,1,15,16,0.046000," ","int(1/(-3*x^2+4*x+2)^(1/2),x)","\frac{\sqrt{3}\, \arcsin \left(\frac{3 \sqrt{10}\, \left(x -\frac{2}{3}\right)}{10}\right)}{3}"," ",0,"1/3*3^(1/2)*arcsin(3/10*10^(1/2)*(x-2/3))","A"
119,1,30,28,0.041000," ","int(1/(3*x^2+5*x+2)^(1/2),x)","\frac{\sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x +2}\right)}{3}"," ",0,"1/3*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x+2)^(1/2))","A"
120,1,12,11,0.046000," ","int(1/(-3*x^2+5*x+2)^(1/2),x)","\frac{\sqrt{3}\, \arcsin \left(\frac{6 x}{7}-\frac{5}{7}\right)}{3}"," ",0,"1/3*3^(1/2)*arcsin(6/7*x-5/7)","A"
121,1,30,28,0.043000," ","int(1/(3*x^2+4*x-2)^(1/2),x)","\frac{\sqrt{3}\, \ln \left(\frac{\left(3 x +2\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+4 x -2}\right)}{3}"," ",0,"1/3*3^(1/2)*ln(1/3*(3*x+2)*3^(1/2)+(3*x^2+4*x-2)^(1/2))","A"
122,1,26,28,0.039000," ","int(1/(-3*x^2+4*x-2)^(1/2),x)","\frac{\sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, \left(x -\frac{2}{3}\right)}{\sqrt{-3 x^{2}+4 x -2}}\right)}{3}"," ",0,"1/3*3^(1/2)*arctan(3^(1/2)*(x-2/3)/(-3*x^2+4*x-2)^(1/2))","A"
123,1,30,28,0.043000," ","int(1/(3*x^2+5*x-2)^(1/2),x)","\frac{\sqrt{3}\, \ln \left(\frac{\left(3 x +\frac{5}{2}\right) \sqrt{3}}{3}+\sqrt{3 x^{2}+5 x -2}\right)}{3}"," ",0,"1/3*3^(1/2)*ln(1/3*(3*x+5/2)*3^(1/2)+(3*x^2+5*x-2)^(1/2))","A"
124,1,12,11,0.045000," ","int(1/(-3*x^2+5*x-2)^(1/2),x)","\frac{\sqrt{3}\, \arcsin \left(6 x -5\right)}{3}"," ",0,"1/3*3^(1/2)*arcsin(6*x-5)","A"
125,1,51,16,0.076000," ","int(2/((b^2+4*c)/c+4*b*x+4*c*x^2)^(1/2),x)","\frac{\sqrt{4}\, \ln \left(\frac{\left(4 c x +2 b \right) \sqrt{4}}{4 \sqrt{c}}+\sqrt{4 c \,x^{2}+4 b x +\frac{b^{2}+4 c}{c}}\right)}{2 \sqrt{c}}"," ",0,"1/2*ln(1/4*(4*c*x+2*b)*4^(1/2)/c^(1/2)+((b^2+4*c)/c+4*b*x+4*c*x^2)^(1/2))*4^(1/2)/c^(1/2)","B"
126,1,44,17,0.088000," ","int(2/((-b^2+4*c)/c+4*b*x-4*c*x^2)^(1/2),x)","\frac{\arctan \left(\frac{2 \left(x -\frac{b}{2 c}\right) \sqrt{c}}{\sqrt{-4 c \,x^{2}+4 b x -\frac{b^{2}-4 c}{c}}}\right)}{\sqrt{c}}"," ",0,"1/c^(1/2)*arctan(2*c^(1/2)*(x-1/2*b/c)/(-4*c*x^2+4*b*x-(b^2-4*c)/c)^(1/2))","B"
127,1,44,16,0.079000," ","int(2/((-b^2+c)/c+4*b*x-4*c*x^2)^(1/2),x)","\frac{\arctan \left(\frac{2 \left(x -\frac{b}{2 c}\right) \sqrt{c}}{\sqrt{-4 c \,x^{2}+4 b x -\frac{b^{2}-c}{c}}}\right)}{\sqrt{c}}"," ",0,"1/c^(1/2)*arctan(2*c^(1/2)*(x-1/2*b/c)/(-4*c*x^2+4*b*x-(b^2-c)/c)^(1/2))","B"
128,1,24,17,0.047000," ","int(1/(x^2+3*x+2)^(3/2),x)","-\frac{2 \left(x +2\right) \left(x +1\right) \left(2 x +3\right)}{\left(x^{2}+3 x +2\right)^{\frac{3}{2}}}"," ",0,"-2*(x+2)*(x+1)*(2*x+3)/(x^2+3*x+2)^(3/2)","A"
129,1,28,19,0.046000," ","int(1/(4*x^2-24*x+27)^(3/2),x)","-\frac{\left(2 x -3\right) \left(2 x -9\right) \left(x -3\right)}{9 \left(4 x^{2}-24 x +27\right)^{\frac{3}{2}}}"," ",0,"-1/9*(2*x-3)*(2*x-9)*(x-3)/(4*x^2-24*x+27)^(3/2)","A"
130,1,26,19,0.048000," ","int(x/(-x^2-4*x+5)^(3/2),x)","\frac{\left(x +5\right) \left(x -1\right) \left(2 x -5\right)}{9 \left(-x^{2}-4 x +5\right)^{\frac{3}{2}}}"," ",0,"1/9*(x+5)*(x-1)*(2*x-5)/(-x^2-4*x+5)^(3/2)","A"
131,1,36,35,0.044000," ","int(1/(-x^2-4*x+5)^(5/2),x)","\frac{\left(x +5\right) \left(x -1\right) \left(2 x^{3}+12 x^{2}-3 x -38\right)}{243 \left(-x^{2}-4 x +5\right)^{\frac{5}{2}}}"," ",0,"1/243*(x+5)*(x-1)*(2*x^3+12*x^2-3*x-38)/(-x^2-4*x+5)^(5/2)","A"
132,0,0,111,1.234000," ","int((c*x^2+b*x+a)^p,x)","\int \left(c \,x^{2}+b x +a \right)^{p}\, dx"," ",0,"int((c*x^2+b*x+a)^p,x)","F"
133,0,0,33,3.092000," ","int((5*x^2+4*x+3)^p,x)","\int \left(5 x^{2}+4 x +3\right)^{p}\, dx"," ",0,"int((5*x^2+4*x+3)^p,x)","F"
134,0,0,28,3.275000," ","int((4*x^2+4*x+3)^p,x)","\int \left(4 x^{2}+4 x +3\right)^{p}\, dx"," ",0,"int((4*x^2+4*x+3)^p,x)","F"
135,0,0,33,2.552000," ","int((3*x^2+4*x+3)^p,x)","\int \left(3 x^{2}+4 x +3\right)^{p}\, dx"," ",0,"int((3*x^2+4*x+3)^p,x)","F"
136,0,0,19,3.224000," ","int((2*x^2+4*x+3)^p,x)","\int \left(2 x^{2}+4 x +3\right)^{p}\, dx"," ",0,"int((2*x^2+4*x+3)^p,x)","F"
137,0,0,54,1.017000," ","int((x^2+4*x+3)^p,x)","\int \left(x^{2}+4 x +3\right)^{p}\, dx"," ",0,"int((x^2+4*x+3)^p,x)","F"
138,1,17,16,0.043000," ","int((3+4*x)^p,x)","\frac{\left(4 x +3\right)^{p +1}}{4 p +4}"," ",0,"1/4*(3+4*x)^(p+1)/(p+1)","A"
139,0,0,27,1.126000," ","int((-x^2+4*x+3)^p,x)","\int \left(-x^{2}+4 x +3\right)^{p}\, dx"," ",0,"int((-x^2+4*x+3)^p,x)","F"
140,0,0,27,1.116000," ","int((-2*x^2+4*x+3)^p,x)","\int \left(-2 x^{2}+4 x +3\right)^{p}\, dx"," ",0,"int((-2*x^2+4*x+3)^p,x)","F"
141,0,0,34,1.076000," ","int((-3*x^2+4*x+3)^p,x)","\int \left(-3 x^{2}+4 x +3\right)^{p}\, dx"," ",0,"int((-3*x^2+4*x+3)^p,x)","F"
142,0,0,31,1.035000," ","int((-4*x^2+4*x+3)^p,x)","\int \left(-4 x^{2}+4 x +3\right)^{p}\, dx"," ",0,"int((-4*x^2+4*x+3)^p,x)","F"
143,0,0,34,1.050000," ","int((-5*x^2+4*x+3)^p,x)","\int \left(-5 x^{2}+4 x +3\right)^{p}\, dx"," ",0,"int((-5*x^2+4*x+3)^p,x)","F"