1,1,180,0,1.341447," ","integrate((c*x^2+b*x)^(7/2),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(c x^{2} + b x\right)}^{\frac{7}{2}} x - \frac{35 \, \sqrt{c x^{2} + b x} b^{6} x}{8192 \, c^{3}} + \frac{35 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4} x}{3072 \, c^{2}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{2} x}{192 \, c} + \frac{35 \, b^{8} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right)}{32768 \, c^{\frac{9}{2}}} - \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^{5}}{6144 \, c^{3}} - \frac{7 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{3}}{384 \, c^{2}} + \frac{{\left(c x^{2} + b x\right)}^{\frac{7}{2}} b}{16 \, c}"," ",0,"1/8*(c*x^2 + b*x)^(7/2)*x - 35/8192*sqrt(c*x^2 + b*x)*b^6*x/c^3 + 35/3072*(c*x^2 + b*x)^(3/2)*b^4*x/c^2 - 7/192*(c*x^2 + b*x)^(5/2)*b^2*x/c + 35/32768*b^8*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c))/c^(9/2) - 35/16384*sqrt(c*x^2 + b*x)*b^7/c^4 + 35/6144*(c*x^2 + b*x)^(3/2)*b^5/c^3 - 7/384*(c*x^2 + b*x)^(5/2)*b^3/c^2 + 1/16*(c*x^2 + b*x)^(7/2)*b/c","A",0
2,1,130,0,3.001308," ","integrate((3*I*x+4*x^2)^(7/2),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{7}{2}} x + \frac{3}{64} i \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{7}{2}} + \frac{21}{256} \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{5}{2}} x + \frac{63}{2048} i \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{5}{2}} + \frac{945}{16384} \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{3}{2}} x + \frac{2835}{131072} i \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{3}{2}} + \frac{25515}{524288} \, \sqrt{4 \, x^{2} + 3 i \, x} x + \frac{76545}{4194304} i \, \sqrt{4 \, x^{2} + 3 i \, x} + \frac{229635}{16777216} \, \log\left(8 \, x + 4 \, \sqrt{4 \, x^{2} + 3 i \, x} + 3 i\right)"," ",0,"1/8*(4*x^2 + 3*I*x)^(7/2)*x + 3/64*I*(4*x^2 + 3*I*x)^(7/2) + 21/256*(4*x^2 + 3*I*x)^(5/2)*x + 63/2048*I*(4*x^2 + 3*I*x)^(5/2) + 945/16384*(4*x^2 + 3*I*x)^(3/2)*x + 2835/131072*I*(4*x^2 + 3*I*x)^(3/2) + 25515/524288*sqrt(4*x^2 + 3*I*x)*x + 76545/4194304*I*sqrt(4*x^2 + 3*I*x) + 229635/16777216*log(8*x + 4*sqrt(4*x^2 + 3*I*x) + 3*I)","A",0
3,1,103,0,3.011549," ","integrate((3*I*x+4*x^2)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{5}{2}} x + \frac{1}{16} i \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{5}{2}} + \frac{15}{128} \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{3}{2}} x + \frac{45}{1024} i \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{3}{2}} + \frac{405}{4096} \, \sqrt{4 \, x^{2} + 3 i \, x} x + \frac{1215}{32768} i \, \sqrt{4 \, x^{2} + 3 i \, x} + \frac{3645}{131072} \, \log\left(8 \, x + 4 \, \sqrt{4 \, x^{2} + 3 i \, x} + 3 i\right)"," ",0,"1/6*(4*x^2 + 3*I*x)^(5/2)*x + 1/16*I*(4*x^2 + 3*I*x)^(5/2) + 15/128*(4*x^2 + 3*I*x)^(3/2)*x + 45/1024*I*(4*x^2 + 3*I*x)^(3/2) + 405/4096*sqrt(4*x^2 + 3*I*x)*x + 1215/32768*I*sqrt(4*x^2 + 3*I*x) + 3645/131072*log(8*x + 4*sqrt(4*x^2 + 3*I*x) + 3*I)","A",0
4,1,76,0,2.984975," ","integrate((3*I*x+4*x^2)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{3}{2}} x + \frac{3}{32} i \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{3}{2}} + \frac{27}{128} \, \sqrt{4 \, x^{2} + 3 i \, x} x + \frac{81}{1024} i \, \sqrt{4 \, x^{2} + 3 i \, x} + \frac{243}{4096} \, \log\left(8 \, x + 4 \, \sqrt{4 \, x^{2} + 3 i \, x} + 3 i\right)"," ",0,"1/4*(4*x^2 + 3*I*x)^(3/2)*x + 3/32*I*(4*x^2 + 3*I*x)^(3/2) + 27/128*sqrt(4*x^2 + 3*I*x)*x + 81/1024*I*sqrt(4*x^2 + 3*I*x) + 243/4096*log(8*x + 4*sqrt(4*x^2 + 3*I*x) + 3*I)","A",0
5,1,49,0,2.962763," ","integrate((3*I*x+4*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{4 \, x^{2} + 3 i \, x} x + \frac{3}{16} i \, \sqrt{4 \, x^{2} + 3 i \, x} + \frac{9}{64} \, \log\left(8 \, x + 4 \, \sqrt{4 \, x^{2} + 3 i \, x} + 3 i\right)"," ",0,"1/2*sqrt(4*x^2 + 3*I*x)*x + 3/16*I*sqrt(4*x^2 + 3*I*x) + 9/64*log(8*x + 4*sqrt(4*x^2 + 3*I*x) + 3*I)","A",0
6,1,117,0,3.058495," ","integrate((-4*x^2+3*x)^(7/2),x, algorithm=""maxima"")","\frac{1}{8} \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{7}{2}} x - \frac{3}{64} \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{7}{2}} + \frac{21}{256} \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{5}{2}} x - \frac{63}{2048} \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{5}{2}} + \frac{945}{16384} \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{3}{2}} x - \frac{2835}{131072} \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{3}{2}} + \frac{25515}{524288} \, \sqrt{-4 \, x^{2} + 3 \, x} x - \frac{76545}{4194304} \, \sqrt{-4 \, x^{2} + 3 \, x} - \frac{229635}{16777216} \, \arcsin\left(-\frac{8}{3} \, x + 1\right)"," ",0,"1/8*(-4*x^2 + 3*x)^(7/2)*x - 3/64*(-4*x^2 + 3*x)^(7/2) + 21/256*(-4*x^2 + 3*x)^(5/2)*x - 63/2048*(-4*x^2 + 3*x)^(5/2) + 945/16384*(-4*x^2 + 3*x)^(3/2)*x - 2835/131072*(-4*x^2 + 3*x)^(3/2) + 25515/524288*sqrt(-4*x^2 + 3*x)*x - 76545/4194304*sqrt(-4*x^2 + 3*x) - 229635/16777216*arcsin(-8/3*x + 1)","A",0
7,1,90,0,2.944280," ","integrate((-4*x^2+3*x)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{5}{2}} x - \frac{1}{16} \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{5}{2}} + \frac{15}{128} \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{3}{2}} x - \frac{45}{1024} \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{3}{2}} + \frac{405}{4096} \, \sqrt{-4 \, x^{2} + 3 \, x} x - \frac{1215}{32768} \, \sqrt{-4 \, x^{2} + 3 \, x} - \frac{3645}{131072} \, \arcsin\left(-\frac{8}{3} \, x + 1\right)"," ",0,"1/6*(-4*x^2 + 3*x)^(5/2)*x - 1/16*(-4*x^2 + 3*x)^(5/2) + 15/128*(-4*x^2 + 3*x)^(3/2)*x - 45/1024*(-4*x^2 + 3*x)^(3/2) + 405/4096*sqrt(-4*x^2 + 3*x)*x - 1215/32768*sqrt(-4*x^2 + 3*x) - 3645/131072*arcsin(-8/3*x + 1)","A",0
8,1,63,0,2.898005," ","integrate((-4*x^2+3*x)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{3}{2}} x - \frac{3}{32} \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{3}{2}} + \frac{27}{128} \, \sqrt{-4 \, x^{2} + 3 \, x} x - \frac{81}{1024} \, \sqrt{-4 \, x^{2} + 3 \, x} - \frac{243}{4096} \, \arcsin\left(-\frac{8}{3} \, x + 1\right)"," ",0,"1/4*(-4*x^2 + 3*x)^(3/2)*x - 3/32*(-4*x^2 + 3*x)^(3/2) + 27/128*sqrt(-4*x^2 + 3*x)*x - 81/1024*sqrt(-4*x^2 + 3*x) - 243/4096*arcsin(-8/3*x + 1)","A",0
9,1,36,0,2.884835," ","integrate((-4*x^2+3*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-4 \, x^{2} + 3 \, x} x - \frac{3}{16} \, \sqrt{-4 \, x^{2} + 3 \, x} - \frac{9}{64} \, \arcsin\left(-\frac{8}{3} \, x + 1\right)"," ",0,"1/2*sqrt(-4*x^2 + 3*x)*x - 3/16*sqrt(-4*x^2 + 3*x) - 9/64*arcsin(-8/3*x + 1)","A",0
10,1,36,0,2.974340," ","integrate((-x^2+6*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-x^{2} + 6 \, x} x - \frac{3}{2} \, \sqrt{-x^{2} + 6 \, x} - \frac{9}{2} \, \arcsin\left(-\frac{1}{3} \, x + 1\right)"," ",0,"1/2*sqrt(-x^2 + 6*x)*x - 3/2*sqrt(-x^2 + 6*x) - 9/2*arcsin(-1/3*x + 1)","A",0
11,1,36,0,2.925517," ","integrate((-9*x^2+5*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-9 \, x^{2} + 5 \, x} x - \frac{5}{36} \, \sqrt{-9 \, x^{2} + 5 \, x} - \frac{25}{216} \, \arcsin\left(-\frac{18}{5} \, x + 1\right)"," ",0,"1/2*sqrt(-9*x^2 + 5*x)*x - 5/36*sqrt(-9*x^2 + 5*x) - 25/216*arcsin(-18/5*x + 1)","A",0
12,1,55,0,2.887918," ","integrate((-x^2+x)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(-x^{2} + x\right)}^{\frac{3}{2}} x - \frac{1}{8} \, {\left(-x^{2} + x\right)}^{\frac{3}{2}} + \frac{3}{32} \, \sqrt{-x^{2} + x} x - \frac{3}{64} \, \sqrt{-x^{2} + x} + \frac{3}{128} \, \arcsin\left(2 \, x - 1\right)"," ",0,"1/4*(-x^2 + x)^(3/2)*x - 1/8*(-x^2 + x)^(3/2) + 3/32*sqrt(-x^2 + x)*x - 3/64*sqrt(-x^2 + x) + 3/128*arcsin(2*x - 1)","A",0
13,1,41,0,1.417790," ","integrate((x^2+4*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{x^{2} + 4 \, x} x + \sqrt{x^{2} + 4 \, x} - 2 \, \log\left(2 \, x + 2 \, \sqrt{x^{2} + 4 \, x} + 4\right)"," ",0,"1/2*sqrt(x^2 + 4*x)*x + sqrt(x^2 + 4*x) - 2*log(2*x + 2*sqrt(x^2 + 4*x) + 4)","A",0
14,1,43,0,1.314065," ","integrate((x^2-8*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{x^{2} - 8 \, x} x - 2 \, \sqrt{x^{2} - 8 \, x} - 8 \, \log\left(2 \, x + 2 \, \sqrt{x^{2} - 8 \, x} - 8\right)"," ",0,"1/2*sqrt(x^2 - 8*x)*x - 2*sqrt(x^2 - 8*x) - 8*log(2*x + 2*sqrt(x^2 - 8*x) - 8)","A",0
15,1,43,0,1.349124," ","integrate((x^2-x)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{x^{2} - x} x - \frac{1}{4} \, \sqrt{x^{2} - x} - \frac{1}{8} \, \log\left(2 \, x + 2 \, \sqrt{x^{2} - x} - 1\right)"," ",0,"1/2*sqrt(x^2 - x)*x - 1/4*sqrt(x^2 - x) - 1/8*log(2*x + 2*sqrt(x^2 - x) - 1)","A",0
16,1,111,0,1.343384," ","integrate(1/(c*x^2+b*x)^(7/2),x, algorithm=""maxima"")","-\frac{4 \, c x}{5 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b^{2}} + \frac{64 \, c^{2} x}{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{4}} - \frac{512 \, c^{3} x}{15 \, \sqrt{c x^{2} + b x} b^{6}} - \frac{2}{5 \, {\left(c x^{2} + b x\right)}^{\frac{5}{2}} b} + \frac{32 \, c}{15 \, {\left(c x^{2} + b x\right)}^{\frac{3}{2}} b^{3}} - \frac{256 \, c^{2}}{15 \, \sqrt{c x^{2} + b x} b^{5}}"," ",0,"-4/5*c*x/((c*x^2 + b*x)^(5/2)*b^2) + 64/15*c^2*x/((c*x^2 + b*x)^(3/2)*b^4) - 512/15*c^3*x/(sqrt(c*x^2 + b*x)*b^6) - 2/5/((c*x^2 + b*x)^(5/2)*b) + 32/15*c/((c*x^2 + b*x)^(3/2)*b^3) - 256/15*c^2/(sqrt(c*x^2 + b*x)*b^5)","A",0
17,1,21,0,2.931862," ","integrate(1/(3*I*x+4*x^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(8 \, x + 4 \, \sqrt{4 \, x^{2} + 3 i \, x} + 3 i\right)"," ",0,"1/2*log(8*x + 4*sqrt(4*x^2 + 3*I*x) + 3*I)","B",0
18,1,28,0,1.372242," ","integrate(1/(3*I*x+4*x^2)^(3/2),x, algorithm=""maxima"")","\frac{16 \, x}{9 \, \sqrt{4 \, x^{2} + 3 i \, x}} + \frac{2 i}{3 \, \sqrt{4 \, x^{2} + 3 i \, x}}"," ",0,"16/9*x/sqrt(4*x^2 + 3*I*x) + 2/3*I/sqrt(4*x^2 + 3*I*x)","A",0
19,1,55,0,1.367758," ","integrate(1/(3*I*x+4*x^2)^(5/2),x, algorithm=""maxima"")","\frac{512 \, x}{243 \, \sqrt{4 \, x^{2} + 3 i \, x}} + \frac{64 i}{81 \, \sqrt{4 \, x^{2} + 3 i \, x}} + \frac{16 \, x}{27 \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{3}{2}}} + \frac{2 i}{9 \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{3}{2}}}"," ",0,"512/243*x/sqrt(4*x^2 + 3*I*x) + 64/81*I/sqrt(4*x^2 + 3*I*x) + 16/27*x/(4*x^2 + 3*I*x)^(3/2) + 2/9*I/(4*x^2 + 3*I*x)^(3/2)","A",0
20,1,82,0,1.370099," ","integrate(1/(3*I*x+4*x^2)^(7/2),x, algorithm=""maxima"")","\frac{32768 \, x}{10935 \, \sqrt{4 \, x^{2} + 3 i \, x}} + \frac{4096 i}{3645 \, \sqrt{4 \, x^{2} + 3 i \, x}} + \frac{1024 \, x}{1215 \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{3}{2}}} + \frac{128 i}{405 \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{3}{2}}} + \frac{16 \, x}{45 \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{5}{2}}} + \frac{2 i}{15 \, {\left(4 \, x^{2} + 3 i \, x\right)}^{\frac{5}{2}}}"," ",0,"32768/10935*x/sqrt(4*x^2 + 3*I*x) + 4096/3645*I/sqrt(4*x^2 + 3*I*x) + 1024/1215*x/(4*x^2 + 3*I*x)^(3/2) + 128/405*I/(4*x^2 + 3*I*x)^(3/2) + 16/45*x/(4*x^2 + 3*I*x)^(5/2) + 2/15*I/(4*x^2 + 3*I*x)^(5/2)","A",0
21,1,8,0,2.953159," ","integrate(1/(-4*x^2+3*x)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \arcsin\left(-\frac{8}{3} \, x + 1\right)"," ",0,"-1/2*arcsin(-8/3*x + 1)","A",0
22,1,28,0,1.344088," ","integrate(1/(-4*x^2+3*x)^(3/2),x, algorithm=""maxima"")","\frac{16 \, x}{9 \, \sqrt{-4 \, x^{2} + 3 \, x}} - \frac{2}{3 \, \sqrt{-4 \, x^{2} + 3 \, x}}"," ",0,"16/9*x/sqrt(-4*x^2 + 3*x) - 2/3/sqrt(-4*x^2 + 3*x)","A",0
23,1,55,0,1.362944," ","integrate(1/(-4*x^2+3*x)^(5/2),x, algorithm=""maxima"")","\frac{512 \, x}{243 \, \sqrt{-4 \, x^{2} + 3 \, x}} - \frac{64}{81 \, \sqrt{-4 \, x^{2} + 3 \, x}} + \frac{16 \, x}{27 \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{3}{2}}} - \frac{2}{9 \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{3}{2}}}"," ",0,"512/243*x/sqrt(-4*x^2 + 3*x) - 64/81/sqrt(-4*x^2 + 3*x) + 16/27*x/(-4*x^2 + 3*x)^(3/2) - 2/9/(-4*x^2 + 3*x)^(3/2)","A",0
24,1,82,0,1.366417," ","integrate(1/(-4*x^2+3*x)^(7/2),x, algorithm=""maxima"")","\frac{32768 \, x}{10935 \, \sqrt{-4 \, x^{2} + 3 \, x}} - \frac{4096}{3645 \, \sqrt{-4 \, x^{2} + 3 \, x}} + \frac{1024 \, x}{1215 \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{3}{2}}} - \frac{128}{405 \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{3}{2}}} + \frac{16 \, x}{45 \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{5}{2}}} - \frac{2}{15 \, {\left(-4 \, x^{2} + 3 \, x\right)}^{\frac{5}{2}}}"," ",0,"32768/10935*x/sqrt(-4*x^2 + 3*x) - 4096/3645/sqrt(-4*x^2 + 3*x) + 1024/1215*x/(-4*x^2 + 3*x)^(3/2) - 128/405/(-4*x^2 + 3*x)^(3/2) + 16/45*x/(-4*x^2 + 3*x)^(5/2) - 2/15/(-4*x^2 + 3*x)^(5/2)","A",0
25,1,21,0,2.915548," ","integrate(1/(-b^2*x^2+b*x)^(1/2),x, algorithm=""maxima"")","-\frac{\arcsin\left(-\frac{2 \, b^{2} x - b}{b}\right)}{b}"," ",0,"-arcsin(-(2*b^2*x - b)/b)/b","A",0
26,1,29,0,1.374535," ","integrate(1/(b^2*x^2+b*x)^(1/2),x, algorithm=""maxima"")","\frac{\log\left(2 \, b^{2} x + 2 \, \sqrt{b^{2} x^{2} + b x} b + b\right)}{b}"," ",0,"log(2*b^2*x + 2*sqrt(b^2*x^2 + b*x)*b + b)/b","A",0
27,1,8,0,3.034308," ","integrate(1/(-x^2+6*x)^(1/2),x, algorithm=""maxima"")","-\arcsin\left(-\frac{1}{3} \, x + 1\right)"," ",0,"-arcsin(-1/3*x + 1)","A",0
28,1,17,0,1.311305," ","integrate(1/(x^2+4*x)^(1/2),x, algorithm=""maxima"")","\log\left(2 \, x + 2 \, \sqrt{x^{2} + 4 \, x} + 4\right)"," ",0,"log(2*x + 2*sqrt(x^2 + 4*x) + 4)","A",0
29,1,17,0,1.326666," ","integrate(1/(x^2-2*x)^(1/2),x, algorithm=""maxima"")","\log\left(2 \, x + 2 \, \sqrt{x^{2} - 2 \, x} - 2\right)"," ",0,"log(2*x + 2*sqrt(x^2 - 2*x) - 2)","A",0
30,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(4/3),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{\frac{4}{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(4/3), x)","F",0
31,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/3),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{\frac{1}{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(1/3), x)","F",0
32,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(2/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{2}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-2/3), x)","F",0
33,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(5/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{5}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-5/3), x)","F",0
34,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(8/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{8}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-8/3), x)","F",0
35,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(5/3),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{\frac{5}{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/3), x)","F",0
36,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(2/3),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{\frac{2}{3}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(2/3), x)","F",0
37,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(1/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{1}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-1/3), x)","F",0
38,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(4/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{4}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-4/3), x)","F",0
39,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(7/3),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{7}{3}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-7/3), x)","F",0
40,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(5/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{\frac{5}{4}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(5/4), x)","F",0
41,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(3/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{\frac{3}{4}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(3/4), x)","F",0
42,0,0,0,0.000000," ","integrate((c*x^2+b*x)^(1/4),x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{\frac{1}{4}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(1/4), x)","F",0
43,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(1/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{1}{4}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-1/4), x)","F",0
44,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(3/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{3}{4}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-3/4), x)","F",0
45,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(5/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{5}{4}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-5/4), x)","F",0
46,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(9/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{9}{4}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-9/4), x)","F",0
47,0,0,0,0.000000," ","integrate(1/(c*x^2+b*x)^(13/4),x, algorithm=""maxima"")","\int \frac{1}{{\left(c x^{2} + b x\right)}^{\frac{13}{4}}}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^(-13/4), x)","F",0
48,0,0,0,0.000000," ","integrate((c*x^2+b*x)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x\right)}^{p}\,{d x}"," ",0,"integrate((c*x^2 + b*x)^p, x)","F",0
49,1,43,0,1.313305," ","integrate((c*x^2+a)^4,x, algorithm=""maxima"")","\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,"1/9*c^4*x^9 + 4/7*a*c^3*x^7 + 6/5*a^2*c^2*x^5 + 4/3*a^3*c*x^3 + a^4*x","A",0
50,1,31,0,1.347668," ","integrate((c*x^2+a)^3,x, algorithm=""maxima"")","\frac{1}{7} \, c^{3} x^{7} + \frac{3}{5} \, a c^{2} x^{5} + a^{2} c x^{3} + a^{3} x"," ",0,"1/7*c^3*x^7 + 3/5*a*c^2*x^5 + a^2*c*x^3 + a^3*x","A",0
51,1,21,0,1.363602," ","integrate((c*x^2+a)^2,x, algorithm=""maxima"")","\frac{1}{5} \, c^{2} x^{5} + \frac{2}{3} \, a c x^{3} + a^{2} x"," ",0,"1/5*c^2*x^5 + 2/3*a*c*x^3 + a^2*x","A",0
52,1,10,0,1.292621," ","integrate(c*x^2+a,x, algorithm=""maxima"")","\frac{1}{3} \, c x^{3} + a x"," ",0,"1/3*c*x^3 + a*x","A",0
53,1,15,0,2.902415," ","integrate(1/(c*x^2+a),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{a c}}"," ",0,"arctan(c*x/sqrt(a*c))/sqrt(a*c)","A",0
54,1,35,0,3.112338," ","integrate(1/(c*x^2+a)^2,x, algorithm=""maxima"")","\frac{x}{2 \, {\left(a c x^{2} + a^{2}\right)}} + \frac{\arctan\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{a c} a}"," ",0,"1/2*x/(a*c*x^2 + a^2) + 1/2*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a)","A",0
55,1,58,0,2.987001," ","integrate(1/(c*x^2+a)^3,x, algorithm=""maxima"")","\frac{3 \, c x^{3} + 5 \, a x}{8 \, {\left(a^{2} c^{2} x^{4} + 2 \, a^{3} c x^{2} + a^{4}\right)}} + \frac{3 \, \arctan\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{a c} a^{2}}"," ",0,"1/8*(3*c*x^3 + 5*a*x)/(a^2*c^2*x^4 + 2*a^3*c*x^2 + a^4) + 3/8*arctan(c*x/sqrt(a*c))/(sqrt(a*c)*a^2)","A",0
56,1,58,0,1.380064," ","integrate((c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{1}{6} \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} x + \frac{5}{24} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a x + \frac{5}{16} \, \sqrt{c x^{2} + a} a^{2} x + \frac{5 \, a^{3} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{16 \, \sqrt{c}}"," ",0,"1/6*(c*x^2 + a)^(5/2)*x + 5/24*(c*x^2 + a)^(3/2)*a*x + 5/16*sqrt(c*x^2 + a)*a^2*x + 5/16*a^3*arcsinh(c*x/sqrt(a*c))/sqrt(c)","A",0
57,1,43,0,1.302650," ","integrate((c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} x + \frac{3}{8} \, \sqrt{c x^{2} + a} a x + \frac{3 \, a^{2} \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{8 \, \sqrt{c}}"," ",0,"1/4*(c*x^2 + a)^(3/2)*x + 3/8*sqrt(c*x^2 + a)*a*x + 3/8*a^2*arcsinh(c*x/sqrt(a*c))/sqrt(c)","A",0
58,1,28,0,1.357250," ","integrate((c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{c x^{2} + a} x + \frac{a \operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{2 \, \sqrt{c}}"," ",0,"1/2*sqrt(c*x^2 + a)*x + 1/2*a*arcsinh(c*x/sqrt(a*c))/sqrt(c)","A",0
59,1,13,0,1.390163," ","integrate(1/(c*x^2+a)^(1/2),x, algorithm=""maxima"")","\frac{\operatorname{arsinh}\left(\frac{c x}{\sqrt{a c}}\right)}{\sqrt{c}}"," ",0,"arcsinh(c*x/sqrt(a*c))/sqrt(c)","A",0
60,1,14,0,1.252615," ","integrate(1/(c*x^2+a)^(3/2),x, algorithm=""maxima"")","\frac{x}{\sqrt{c x^{2} + a} a}"," ",0,"x/(sqrt(c*x^2 + a)*a)","A",0
61,1,31,0,1.020306," ","integrate(1/(c*x^2+a)^(5/2),x, algorithm=""maxima"")","\frac{2 \, x}{3 \, \sqrt{c x^{2} + a} a^{2}} + \frac{x}{3 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a}"," ",0,"2/3*x/(sqrt(c*x^2 + a)*a^2) + 1/3*x/((c*x^2 + a)^(3/2)*a)","A",0
62,1,46,0,1.312891," ","integrate(1/(c*x^2+a)^(7/2),x, algorithm=""maxima"")","\frac{8 \, x}{15 \, \sqrt{c x^{2} + a} a^{3}} + \frac{4 \, x}{15 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{2}} + \frac{x}{5 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} a}"," ",0,"8/15*x/(sqrt(c*x^2 + a)*a^3) + 4/15*x/((c*x^2 + a)^(3/2)*a^2) + 1/5*x/((c*x^2 + a)^(5/2)*a)","A",0
63,1,61,0,1.349706," ","integrate(1/(c*x^2+a)^(9/2),x, algorithm=""maxima"")","\frac{16 \, x}{35 \, \sqrt{c x^{2} + a} a^{4}} + \frac{8 \, x}{35 \, {\left(c x^{2} + a\right)}^{\frac{3}{2}} a^{3}} + \frac{6 \, x}{35 \, {\left(c x^{2} + a\right)}^{\frac{5}{2}} a^{2}} + \frac{x}{7 \, {\left(c x^{2} + a\right)}^{\frac{7}{2}} a}"," ",0,"16/35*x/(sqrt(c*x^2 + a)*a^4) + 8/35*x/((c*x^2 + a)^(3/2)*a^3) + 6/35*x/((c*x^2 + a)^(5/2)*a^2) + 1/7*x/((c*x^2 + a)^(7/2)*a)","A",0
64,1,30,0,2.957388," ","integrate((9*x^2+12*x+4)^(3/2),x, algorithm=""maxima"")","\frac{1}{4} \, {\left(9 \, x^{2} + 12 \, x + 4\right)}^{\frac{3}{2}} x + \frac{1}{6} \, {\left(9 \, x^{2} + 12 \, x + 4\right)}^{\frac{3}{2}}"," ",0,"1/4*(9*x^2 + 12*x + 4)^(3/2)*x + 1/6*(9*x^2 + 12*x + 4)^(3/2)","A",0
65,1,30,0,2.858348," ","integrate((9*x^2+12*x+4)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{9 \, x^{2} + 12 \, x + 4} x + \frac{1}{3} \, \sqrt{9 \, x^{2} + 12 \, x + 4}"," ",0,"1/2*sqrt(9*x^2 + 12*x + 4)*x + 1/3*sqrt(9*x^2 + 12*x + 4)","A",0
66,1,6,0,2.830086," ","integrate(1/(9*x^2+12*x+4)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(x + \frac{2}{3}\right)"," ",0,"1/3*log(x + 2/3)","A",0
67,1,9,0,2.891730," ","integrate(1/(9*x^2+12*x+4)^(3/2),x, algorithm=""maxima"")","-\frac{1}{6 \, {\left(3 \, x + 2\right)}^{2}}"," ",0,"-1/6/(3*x + 2)^2","A",0
68,1,30,0,3.010150," ","integrate(((-2+3*x)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{9 \, x^{2} - 12 \, x + 4} x - \frac{1}{3} \, \sqrt{9 \, x^{2} - 12 \, x + 4}"," ",0,"1/2*sqrt(9*x^2 - 12*x + 4)*x - 1/3*sqrt(9*x^2 - 12*x + 4)","A",0
69,1,6,0,2.968962," ","integrate(1/((-2+3*x)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(x - \frac{2}{3}\right)"," ",0,"1/3*log(x - 2/3)","A",0
70,1,30,0,3.015269," ","integrate((-(-2+3*x)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-9 \, x^{2} + 12 \, x - 4} x - \frac{1}{3} \, \sqrt{-9 \, x^{2} + 12 \, x - 4}"," ",0,"1/2*sqrt(-9*x^2 + 12*x - 4)*x - 1/3*sqrt(-9*x^2 + 12*x - 4)","A",0
71,1,6,0,2.898398," ","integrate(1/(-(-2+3*x)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} i \, \log\left(x - \frac{2}{3}\right)"," ",0,"1/3*I*log(x - 2/3)","C",0
72,1,30,0,2.962204," ","integrate((-(2+3*x)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-9 \, x^{2} - 12 \, x - 4} x + \frac{1}{3} \, \sqrt{-9 \, x^{2} - 12 \, x - 4}"," ",0,"1/2*sqrt(-9*x^2 - 12*x - 4)*x + 1/3*sqrt(-9*x^2 - 12*x - 4)","A",0
73,1,6,0,2.777058," ","integrate(1/(-(2+3*x)^2)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} i \, \log\left(x + \frac{2}{3}\right)"," ",0,"1/3*I*log(x + 2/3)","C",0
74,1,234,0,1.413114," ","integrate((1/4*(b^2-1)/c+b*x+c*x^2)^5,x, algorithm=""maxima"")","\frac{1}{11} \, c^{5} x^{11} + \frac{1}{2} \, b c^{4} x^{10} + \frac{10}{9} \, b^{2} c^{3} x^{9} + \frac{5}{4} \, b^{3} c^{2} x^{8} + \frac{5}{7} \, b^{4} c x^{7} + \frac{1}{6} \, b^{5} x^{6} + \frac{5 \, {\left(2 \, c x^{3} + 3 \, b x^{2}\right)} {\left(b^{2} - 1\right)}^{4}}{1536 \, c^{4}} + \frac{{\left(6 \, c^{2} x^{5} + 15 \, b c x^{4} + 10 \, b^{2} x^{3}\right)} {\left(b^{2} - 1\right)}^{3}}{192 \, c^{3}} + \frac{{\left(20 \, c^{3} x^{7} + 70 \, b c^{2} x^{6} + 84 \, b^{2} c x^{5} + 35 \, b^{3} x^{4}\right)} {\left(b^{2} - 1\right)}^{2}}{224 \, c^{2}} + \frac{{\left(70 \, c^{4} x^{9} + 315 \, b c^{3} x^{8} + 540 \, b^{2} c^{2} x^{7} + 420 \, b^{3} c x^{6} + 126 \, b^{4} x^{5}\right)} {\left(b^{2} - 1\right)}}{504 \, c} + \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 + 10/9*b^2*c^3*x^9 + 5/4*b^3*c^2*x^8 + 5/7*b^4*c*x^7 + 1/6*b^5*x^6 + 5/1536*(2*c*x^3 + 3*b*x^2)*(b^2 - 1)^4/c^4 + 1/192*(6*c^2*x^5 + 15*b*c*x^4 + 10*b^2*x^3)*(b^2 - 1)^3/c^3 + 1/224*(20*c^3*x^7 + 70*b*c^2*x^6 + 84*b^2*c*x^5 + 35*b^3*x^4)*(b^2 - 1)^2/c^2 + 1/504*(70*c^4*x^9 + 315*b*c^3*x^8 + 540*b^2*c^2*x^7 + 420*b^3*c*x^6 + 126*b^4*x^5)*(b^2 - 1)/c + 1/1024*(b^2 - 1)^5*x/c^5","B",0
75,1,234,0,1.521001," ","integrate((1/4*(b^2-4)/c+b*x+c*x^2)^5,x, algorithm=""maxima"")","\frac{1}{11} \, c^{5} x^{11} + \frac{1}{2} \, b c^{4} x^{10} + \frac{10}{9} \, b^{2} c^{3} x^{9} + \frac{5}{4} \, b^{3} c^{2} x^{8} + \frac{5}{7} \, b^{4} c x^{7} + \frac{1}{6} \, b^{5} x^{6} + \frac{5 \, {\left(2 \, c x^{3} + 3 \, b x^{2}\right)} {\left(b^{2} - 4\right)}^{4}}{1536 \, c^{4}} + \frac{{\left(6 \, c^{2} x^{5} + 15 \, b c x^{4} + 10 \, b^{2} x^{3}\right)} {\left(b^{2} - 4\right)}^{3}}{192 \, c^{3}} + \frac{{\left(20 \, c^{3} x^{7} + 70 \, b c^{2} x^{6} + 84 \, b^{2} c x^{5} + 35 \, b^{3} x^{4}\right)} {\left(b^{2} - 4\right)}^{2}}{224 \, c^{2}} + \frac{{\left(70 \, c^{4} x^{9} + 315 \, b c^{3} x^{8} + 540 \, b^{2} c^{2} x^{7} + 420 \, b^{3} c x^{6} + 126 \, b^{4} x^{5}\right)} {\left(b^{2} - 4\right)}}{504 \, c} + \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 + 10/9*b^2*c^3*x^9 + 5/4*b^3*c^2*x^8 + 5/7*b^4*c*x^7 + 1/6*b^5*x^6 + 5/1536*(2*c*x^3 + 3*b*x^2)*(b^2 - 4)^4/c^4 + 1/192*(6*c^2*x^5 + 15*b*c*x^4 + 10*b^2*x^3)*(b^2 - 4)^3/c^3 + 1/224*(20*c^3*x^7 + 70*b*c^2*x^6 + 84*b^2*c*x^5 + 35*b^3*x^4)*(b^2 - 4)^2/c^2 + 1/504*(70*c^4*x^9 + 315*b*c^3*x^8 + 540*b^2*c^2*x^7 + 420*b^3*c*x^6 + 126*b^4*x^5)*(b^2 - 4)/c + 1/1024*(b^2 - 4)^5*x/c^5","B",0
76,1,234,0,1.408903," ","integrate((1/4*(b^2-9)/c+b*x+c*x^2)^5,x, algorithm=""maxima"")","\frac{1}{11} \, c^{5} x^{11} + \frac{1}{2} \, b c^{4} x^{10} + \frac{10}{9} \, b^{2} c^{3} x^{9} + \frac{5}{4} \, b^{3} c^{2} x^{8} + \frac{5}{7} \, b^{4} c x^{7} + \frac{1}{6} \, b^{5} x^{6} + \frac{5 \, {\left(2 \, c x^{3} + 3 \, b x^{2}\right)} {\left(b^{2} - 9\right)}^{4}}{1536 \, c^{4}} + \frac{{\left(6 \, c^{2} x^{5} + 15 \, b c x^{4} + 10 \, b^{2} x^{3}\right)} {\left(b^{2} - 9\right)}^{3}}{192 \, c^{3}} + \frac{{\left(20 \, c^{3} x^{7} + 70 \, b c^{2} x^{6} + 84 \, b^{2} c x^{5} + 35 \, b^{3} x^{4}\right)} {\left(b^{2} - 9\right)}^{2}}{224 \, c^{2}} + \frac{{\left(70 \, c^{4} x^{9} + 315 \, b c^{3} x^{8} + 540 \, b^{2} c^{2} x^{7} + 420 \, b^{3} c x^{6} + 126 \, b^{4} x^{5}\right)} {\left(b^{2} - 9\right)}}{504 \, c} + \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 + 10/9*b^2*c^3*x^9 + 5/4*b^3*c^2*x^8 + 5/7*b^4*c*x^7 + 1/6*b^5*x^6 + 5/1536*(2*c*x^3 + 3*b*x^2)*(b^2 - 9)^4/c^4 + 1/192*(6*c^2*x^5 + 15*b*c*x^4 + 10*b^2*x^3)*(b^2 - 9)^3/c^3 + 1/224*(20*c^3*x^7 + 70*b*c^2*x^6 + 84*b^2*c*x^5 + 35*b^3*x^4)*(b^2 - 9)^2/c^2 + 1/504*(70*c^4*x^9 + 315*b*c^3*x^8 + 540*b^2*c^2*x^7 + 420*b^3*c*x^6 + 126*b^4*x^5)*(b^2 - 9)/c + 1/1024*(b^2 - 9)^5*x/c^5","B",0
77,1,234,0,1.400310," ","integrate((1/4*(b^2-16)/c+b*x+c*x^2)^5,x, algorithm=""maxima"")","\frac{1}{11} \, c^{5} x^{11} + \frac{1}{2} \, b c^{4} x^{10} + \frac{10}{9} \, b^{2} c^{3} x^{9} + \frac{5}{4} \, b^{3} c^{2} x^{8} + \frac{5}{7} \, b^{4} c x^{7} + \frac{1}{6} \, b^{5} x^{6} + \frac{5 \, {\left(2 \, c x^{3} + 3 \, b x^{2}\right)} {\left(b^{2} - 16\right)}^{4}}{1536 \, c^{4}} + \frac{{\left(6 \, c^{2} x^{5} + 15 \, b c x^{4} + 10 \, b^{2} x^{3}\right)} {\left(b^{2} - 16\right)}^{3}}{192 \, c^{3}} + \frac{{\left(20 \, c^{3} x^{7} + 70 \, b c^{2} x^{6} + 84 \, b^{2} c x^{5} + 35 \, b^{3} x^{4}\right)} {\left(b^{2} - 16\right)}^{2}}{224 \, c^{2}} + \frac{{\left(70 \, c^{4} x^{9} + 315 \, b c^{3} x^{8} + 540 \, b^{2} c^{2} x^{7} + 420 \, b^{3} c x^{6} + 126 \, b^{4} x^{5}\right)} {\left(b^{2} - 16\right)}}{504 \, c} + \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 + 10/9*b^2*c^3*x^9 + 5/4*b^3*c^2*x^8 + 5/7*b^4*c*x^7 + 1/6*b^5*x^6 + 5/1536*(2*c*x^3 + 3*b*x^2)*(b^2 - 16)^4/c^4 + 1/192*(6*c^2*x^5 + 15*b*c*x^4 + 10*b^2*x^3)*(b^2 - 16)^3/c^3 + 1/224*(20*c^3*x^7 + 70*b*c^2*x^6 + 84*b^2*c*x^5 + 35*b^3*x^4)*(b^2 - 16)^2/c^2 + 1/504*(70*c^4*x^9 + 315*b*c^3*x^8 + 540*b^2*c^2*x^7 + 420*b^3*c*x^6 + 126*b^4*x^5)*(b^2 - 16)/c + 1/1024*(b^2 - 16)^5*x/c^5","B",0
78,1,16,0,2.954984," ","integrate(1/(3*x^2+4*x+2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x + 2\right)}\right)"," ",0,"1/2*sqrt(2)*arctan(1/2*sqrt(2)*(3*x + 2))","A",0
79,1,8,0,2.974961," ","integrate(1/(4+x^2-2*x*3^(1/2)),x, algorithm=""maxima"")","\arctan\left(x - \sqrt{3}\right)"," ",0,"arctan(x - sqrt(3))","A",0
80,1,27,0,2.953050," ","integrate(1/(-3*x^2+4*x+2),x, algorithm=""maxima"")","-\frac{1}{20} \, \sqrt{10} \log\left(\frac{3 \, x - \sqrt{10} - 2}{3 \, x + \sqrt{10} - 2}\right)"," ",0,"-1/20*sqrt(10)*log((3*x - sqrt(10) - 2)/(3*x + sqrt(10) - 2))","A",0
81,1,13,0,1.327245," ","integrate(1/(3*x^2+5*x+2),x, algorithm=""maxima"")","\log\left(3 \, x + 2\right) - \log\left(x + 1\right)"," ",0,"log(3*x + 2) - log(x + 1)","A",0
82,1,15,0,1.313762," ","integrate(1/(-3*x^2+5*x+2),x, algorithm=""maxima"")","\frac{1}{7} \, \log\left(3 \, x + 1\right) - \frac{1}{7} \, \log\left(x - 2\right)"," ",0,"1/7*log(3*x + 1) - 1/7*log(x - 2)","A",0
83,1,13,0,1.287642," ","integrate(1/(x^2+4*x+3),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(x + 3\right) + \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"-1/2*log(x + 3) + 1/2*log(x + 1)","B",0
84,1,38,0,1.314048," ","integrate(1/(pi*x+2*x^2+1),x, algorithm=""maxima"")","\frac{\log\left(\frac{\pi + 4 \, x - \sqrt{\pi^{2} - 8}}{\pi + 4 \, x + \sqrt{\pi^{2} - 8}}\right)}{\sqrt{\pi^{2} - 8}}"," ",0,"log((pi + 4*x - sqrt(pi^2 - 8))/(pi + 4*x + sqrt(pi^2 - 8)))/sqrt(pi^2 - 8)","A",0
85,1,39,0,1.325717," ","integrate(1/(pi*x-2*x^2+1),x, algorithm=""maxima"")","-\frac{\log\left(\frac{\pi - 4 \, x + \sqrt{\pi^{2} + 8}}{\pi - 4 \, x - \sqrt{\pi^{2} + 8}}\right)}{\sqrt{\pi^{2} + 8}}"," ",0,"-log((pi - 4*x + sqrt(pi^2 + 8))/(pi - 4*x - sqrt(pi^2 + 8)))/sqrt(pi^2 + 8)","A",0
86,1,27,0,1.317042," ","integrate(1/(pi*x+3*x^2+1),x, algorithm=""maxima"")","\frac{2 \, \arctan\left(\frac{\pi + 6 \, x}{\sqrt{-\pi^{2} + 12}}\right)}{\sqrt{-\pi^{2} + 12}}"," ",0,"2*arctan((pi + 6*x)/sqrt(-pi^2 + 12))/sqrt(-pi^2 + 12)","A",0
87,1,39,0,1.440953," ","integrate(1/(pi*x-3*x^2+1),x, algorithm=""maxima"")","-\frac{\log\left(\frac{\pi - 6 \, x + \sqrt{\pi^{2} + 12}}{\pi - 6 \, x - \sqrt{\pi^{2} + 12}}\right)}{\sqrt{\pi^{2} + 12}}"," ",0,"-log((pi - 6*x + sqrt(pi^2 + 12))/(pi - 6*x - sqrt(pi^2 + 12)))/sqrt(pi^2 + 12)","A",0
88,-2,0,0,0.000000," ","integrate(1/(b*x^2+c*x+a),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(c^2-4*a*b>0)', see `assume?` for more details)Is c^2-4*a*b positive or negative?","F(-2)",0
89,-2,0,0,0.000000," ","integrate(1/(b*x^2+2*a*x+b),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
90,1,49,0,2.910161," ","integrate(1/(-b*x^2+2*a*x+b),x, algorithm=""maxima"")","-\frac{\log\left(\frac{b x - a - \sqrt{a^{2} + b^{2}}}{b x - a + \sqrt{a^{2} + b^{2}}}\right)}{2 \, \sqrt{a^{2} + b^{2}}}"," ",0,"-1/2*log((b*x - a - sqrt(a^2 + b^2))/(b*x - a + sqrt(a^2 + b^2)))/sqrt(a^2 + b^2)","A",0
91,1,36,0,2.273576," ","integrate(1/(3*x^2+4*x+2)^2,x, algorithm=""maxima"")","\frac{3}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x + 2\right)}\right) + \frac{3 \, x + 2}{4 \, {\left(3 \, x^{2} + 4 \, x + 2\right)}}"," ",0,"3/8*sqrt(2)*arctan(1/2*sqrt(2)*(3*x + 2)) + 1/4*(3*x + 2)/(3*x^2 + 4*x + 2)","A",0
92,1,47,0,2.807114," ","integrate(1/(-3*x^2+4*x+2)^2,x, algorithm=""maxima"")","-\frac{3}{400} \, \sqrt{10} \log\left(\frac{3 \, x - \sqrt{10} - 2}{3 \, x + \sqrt{10} - 2}\right) - \frac{3 \, x - 2}{20 \, {\left(3 \, x^{2} - 4 \, x - 2\right)}}"," ",0,"-3/400*sqrt(10)*log((3*x - sqrt(10) - 2)/(3*x + sqrt(10) - 2)) - 1/20*(3*x - 2)/(3*x^2 - 4*x - 2)","A",0
93,1,34,0,1.316001," ","integrate(1/(3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{6 \, x + 5}{3 \, x^{2} + 5 \, x + 2} - 6 \, \log\left(3 \, x + 2\right) + 6 \, \log\left(x + 1\right)"," ",0,"-(6*x + 5)/(3*x^2 + 5*x + 2) - 6*log(3*x + 2) + 6*log(x + 1)","A",0
94,1,34,0,1.347379," ","integrate(1/(-3*x^2+5*x+2)^2,x, algorithm=""maxima"")","-\frac{6 \, x - 5}{49 \, {\left(3 \, x^{2} - 5 \, x - 2\right)}} + \frac{6}{343} \, \log\left(3 \, x + 1\right) - \frac{6}{343} \, \log\left(x - 2\right)"," ",0,"-1/49*(6*x - 5)/(3*x^2 - 5*x - 2) + 6/343*log(3*x + 1) - 6/343*log(x - 2)","A",0
95,-2,0,0,0.000000," ","integrate(1/(b*x^2+c*x+a)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(c^2-4*a*b>0)', see `assume?` for more details)Is c^2-4*a*b positive or negative?","F(-2)",0
96,-2,0,0,0.000000," ","integrate(1/(b*x^2+2*a*x+b)^2,x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(4*a^2-4*b^2>0)', see `assume?` for more details)Is 4*a^2-4*b^2 positive or negative?","F(-2)",0
97,1,97,0,2.838650," ","integrate(1/(-b*x^2+2*a*x+b)^2,x, algorithm=""maxima"")","-\frac{b \log\left(\frac{b x - a - \sqrt{a^{2} + b^{2}}}{b x - a + \sqrt{a^{2} + b^{2}}}\right)}{4 \, {\left(a^{2} + b^{2}\right)}^{\frac{3}{2}}} + \frac{b x - a}{2 \, {\left(a^{2} b + b^{3} - {\left(a^{2} b + b^{3}\right)} x^{2} + 2 \, {\left(a^{3} + a b^{2}\right)} x\right)}}"," ",0,"-1/4*b*log((b*x - a - sqrt(a^2 + b^2))/(b*x - a + sqrt(a^2 + b^2)))/(a^2 + b^2)^(3/2) + 1/2*(b*x - a)/(a^2*b + b^3 - (a^2*b + b^3)*x^2 + 2*(a^3 + a*b^2)*x)","A",0
98,-2,0,0,0.000000," ","integrate(1/((a/b)^(2/n)+x^2-2*(a/b)^(1/n)*x*cos((-2*pi*k+pi)/n)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(1>0)', see `assume?` for more details)Is 1 zero or nonzero?","F(-2)",0
99,1,55,0,1.388847," ","integrate(1/(a*b-b^2*x^2+x*(-4*a*b^3+b^2)^(1/2)),x, algorithm=""maxima"")","-\frac{\log\left(\frac{2 \, b^{2} x - b - \sqrt{-4 \, a b^{3} + b^{2}}}{2 \, b^{2} x + b - \sqrt{-4 \, a b^{3} + b^{2}}}\right)}{b}"," ",0,"-log((2*b^2*x - b - sqrt(-4*a*b^3 + b^2))/(2*b^2*x + b - sqrt(-4*a*b^3 + b^2)))/b","A",0
100,1,51,0,1.321893," ","integrate(1/(a*b-b^2*x^2-x*(-4*a*b^3+b^2)^(1/2)),x, algorithm=""maxima"")","-\frac{\log\left(\frac{2 \, b^{2} x - b + \sqrt{-4 \, a b^{3} + b^{2}}}{2 \, b^{2} x + b + \sqrt{-4 \, a b^{3} + b^{2}}}\right)}{b}"," ",0,"-log((2*b^2*x - b + sqrt(-4*a*b^3 + b^2))/(2*b^2*x + b + sqrt(-4*a*b^3 + b^2)))/b","A",0
101,1,27,0,2.953792," ","integrate(1/(1+x^2+2*x*cos(1/7)),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{x + \cos\left(\frac{1}{7}\right)}{\sqrt{-\cos\left(\frac{1}{7}\right)^{2} + 1}}\right)}{\sqrt{-\cos\left(\frac{1}{7}\right)^{2} + 1}}"," ",0,"arctan((x + cos(1/7))/sqrt(-cos(1/7)^2 + 1))/sqrt(-cos(1/7)^2 + 1)","B",0
102,1,33,0,3.017648," ","integrate(1/(1+x^2+2*x*cos(1/7*pi)),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{x + \cos\left(\frac{1}{7} \, \pi\right)}{\sqrt{-\cos\left(\frac{1}{7} \, \pi\right)^{2} + 1}}\right)}{\sqrt{-\cos\left(\frac{1}{7} \, \pi\right)^{2} + 1}}"," ",0,"arctan((x + cos(1/7*pi))/sqrt(-cos(1/7*pi)^2 + 1))/sqrt(-cos(1/7*pi)^2 + 1)","A",0
103,1,38,0,3.042308," ","integrate((9*x^2-6*x+5)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{9 \, x^{2} - 6 \, x + 5} x - \frac{1}{6} \, \sqrt{9 \, x^{2} - 6 \, x + 5} + \frac{2}{3} \, \operatorname{arsinh}\left(\frac{3}{2} \, x - \frac{1}{2}\right)"," ",0,"1/2*sqrt(9*x^2 - 6*x + 5)*x - 1/6*sqrt(9*x^2 - 6*x + 5) + 2/3*arcsinh(3/2*x - 1/2)","A",0
104,1,38,0,2.998239," ","integrate((-4*x^2-4*x+3)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-4 \, x^{2} - 4 \, x + 3} x + \frac{1}{4} \, \sqrt{-4 \, x^{2} - 4 \, x + 3} - \arcsin\left(-x - \frac{1}{2}\right)"," ",0,"1/2*sqrt(-4*x^2 - 4*x + 3)*x + 1/4*sqrt(-4*x^2 - 4*x + 3) - arcsin(-x - 1/2)","A",0
105,1,52,0,2.869476," ","integrate((9*x^2+6*x-8)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{9 \, x^{2} + 6 \, x - 8} x + \frac{1}{6} \, \sqrt{9 \, x^{2} + 6 \, x - 8} - \frac{3}{2} \, \log\left(18 \, x + 6 \, \sqrt{9 \, x^{2} + 6 \, x - 8} + 6\right)"," ",0,"1/2*sqrt(9*x^2 + 6*x - 8)*x + 1/6*sqrt(9*x^2 + 6*x - 8) - 3/2*log(18*x + 6*sqrt(9*x^2 + 6*x - 8) + 6)","A",0
106,1,46,0,3.003537," ","integrate((3*x^2+4*x+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{3 \, x^{2} + 4 \, x + 2} x + \frac{1}{9} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x + 2\right)}\right) + \frac{1}{3} \, \sqrt{3 \, x^{2} + 4 \, x + 2}"," ",0,"1/2*sqrt(3*x^2 + 4*x + 2)*x + 1/9*sqrt(3)*arcsinh(1/2*sqrt(2)*(3*x + 2)) + 1/3*sqrt(3*x^2 + 4*x + 2)","A",0
107,1,46,0,2.971735," ","integrate((-3*x^2+4*x+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-3 \, x^{2} + 4 \, x + 2} x - \frac{5}{9} \, \sqrt{3} \arcsin\left(-\frac{1}{10} \, \sqrt{10} {\left(3 \, x - 2\right)}\right) - \frac{1}{3} \, \sqrt{-3 \, x^{2} + 4 \, x + 2}"," ",0,"1/2*sqrt(-3*x^2 + 4*x + 2)*x - 5/9*sqrt(3)*arcsin(-1/10*sqrt(10)*(3*x - 2)) - 1/3*sqrt(-3*x^2 + 4*x + 2)","A",0
108,1,58,0,2.975277," ","integrate((3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{3 \, x^{2} + 5 \, x + 2} x - \frac{1}{72} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right) + \frac{5}{12} \, \sqrt{3 \, x^{2} + 5 \, x + 2}"," ",0,"1/2*sqrt(3*x^2 + 5*x + 2)*x - 1/72*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5) + 5/12*sqrt(3*x^2 + 5*x + 2)","A",0
109,1,41,0,3.082860," ","integrate((-3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-3 \, x^{2} + 5 \, x + 2} x - \frac{49}{72} \, \sqrt{3} \arcsin\left(-\frac{6}{7} \, x + \frac{5}{7}\right) - \frac{5}{12} \, \sqrt{-3 \, x^{2} + 5 \, x + 2}"," ",0,"1/2*sqrt(-3*x^2 + 5*x + 2)*x - 49/72*sqrt(3)*arcsin(-6/7*x + 5/7) - 5/12*sqrt(-3*x^2 + 5*x + 2)","A",0
110,1,58,0,2.979770," ","integrate((3*x^2+4*x-2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{3 \, x^{2} + 4 \, x - 2} x - \frac{5}{9} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 4 \, x - 2} + 6 \, x + 4\right) + \frac{1}{3} \, \sqrt{3 \, x^{2} + 4 \, x - 2}"," ",0,"1/2*sqrt(3*x^2 + 4*x - 2)*x - 5/9*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 4*x - 2) + 6*x + 4) + 1/3*sqrt(3*x^2 + 4*x - 2)","A",0
111,1,46,0,2.893889," ","integrate((-3*x^2+4*x-2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-3 \, x^{2} + 4 \, x - 2} x + \frac{1}{9} i \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x - 2\right)}\right) - \frac{1}{3} \, \sqrt{-3 \, x^{2} + 4 \, x - 2}"," ",0,"1/2*sqrt(-3*x^2 + 4*x - 2)*x + 1/9*I*sqrt(3)*arcsinh(1/2*sqrt(2)*(3*x - 2)) - 1/3*sqrt(-3*x^2 + 4*x - 2)","C",0
112,1,58,0,3.002808," ","integrate((3*x^2+5*x-2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{3 \, x^{2} + 5 \, x - 2} x - \frac{49}{72} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x - 2} + 6 \, x + 5\right) + \frac{5}{12} \, \sqrt{3 \, x^{2} + 5 \, x - 2}"," ",0,"1/2*sqrt(3*x^2 + 5*x - 2)*x - 49/72*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x - 2) + 6*x + 5) + 5/12*sqrt(3*x^2 + 5*x - 2)","A",0
113,1,41,0,3.078387," ","integrate((-3*x^2+5*x-2)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{-3 \, x^{2} + 5 \, x - 2} x + \frac{1}{72} \, \sqrt{3} \arcsin\left(6 \, x - 5\right) - \frac{5}{12} \, \sqrt{-3 \, x^{2} + 5 \, x - 2}"," ",0,"1/2*sqrt(-3*x^2 + 5*x - 2)*x + 1/72*sqrt(3)*arcsin(6*x - 5) - 5/12*sqrt(-3*x^2 + 5*x - 2)","A",0
114,1,8,0,2.948006," ","integrate(1/(9*x^2-6*x+5)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \operatorname{arsinh}\left(\frac{3}{2} \, x - \frac{1}{2}\right)"," ",0,"1/3*arcsinh(3/2*x - 1/2)","A",0
115,1,8,0,3.010567," ","integrate(1/(-4*x^2-4*x+3)^(1/2),x, algorithm=""maxima"")","-\frac{1}{2} \, \arcsin\left(-x - \frac{1}{2}\right)"," ",0,"-1/2*arcsin(-x - 1/2)","A",0
116,1,22,0,2.991086," ","integrate(1/(9*x^2+6*x-8)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(18 \, x + 6 \, \sqrt{9 \, x^{2} + 6 \, x - 8} + 6\right)"," ",0,"1/3*log(18*x + 6*sqrt(9*x^2 + 6*x - 8) + 6)","A",0
117,1,16,0,2.877325," ","integrate(1/(3*x^2+4*x+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x + 2\right)}\right)"," ",0,"1/3*sqrt(3)*arcsinh(1/2*sqrt(2)*(3*x + 2))","A",0
118,1,16,0,2.926723," ","integrate(1/(-3*x^2+4*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arcsin\left(-\frac{1}{10} \, \sqrt{10} {\left(3 \, x - 2\right)}\right)"," ",0,"-1/3*sqrt(3)*arcsin(-1/10*sqrt(10)*(3*x - 2))","A",0
119,1,28,0,3.010118," ","integrate(1/(3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} + 6 \, x + 5\right)"," ",0,"1/3*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x + 2) + 6*x + 5)","A",0
120,1,11,0,2.997164," ","integrate(1/(-3*x^2+5*x+2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \arcsin\left(-\frac{6}{7} \, x + \frac{5}{7}\right)"," ",0,"-1/3*sqrt(3)*arcsin(-6/7*x + 5/7)","A",0
121,1,28,0,2.986578," ","integrate(1/(3*x^2+4*x-2)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 4 \, x - 2} + 6 \, x + 4\right)"," ",0,"1/3*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 4*x - 2) + 6*x + 4)","A",0
122,1,16,0,2.910368," ","integrate(1/(-3*x^2+4*x-2)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} i \, \sqrt{3} \operatorname{arsinh}\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x - 2\right)}\right)"," ",0,"-1/3*I*sqrt(3)*arcsinh(1/2*sqrt(2)*(3*x - 2))","C",0
123,1,28,0,2.927236," ","integrate(1/(3*x^2+5*x-2)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \log\left(2 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x - 2} + 6 \, x + 5\right)"," ",0,"1/3*sqrt(3)*log(2*sqrt(3)*sqrt(3*x^2 + 5*x - 2) + 6*x + 5)","A",0
124,1,11,0,3.072878," ","integrate(1/(-3*x^2+5*x-2)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, \sqrt{3} \arcsin\left(6 \, x - 5\right)"," ",0,"1/3*sqrt(3)*arcsin(6*x - 5)","A",0
125,1,16,0,1.401620," ","integrate(2/((b^2+4*c)/c+4*b*x+4*c*x^2)^(1/2),x, algorithm=""maxima"")","\frac{\operatorname{arsinh}\left(\frac{2 \, c x + b}{2 \, \sqrt{c}}\right)}{\sqrt{c}}"," ",0,"arcsinh(1/2*(2*c*x + b)/sqrt(c))/sqrt(c)","A",0
126,1,19,0,3.083796," ","integrate(2/((-b^2+4*c)/c+4*b*x-4*c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{\arcsin\left(-\frac{2 \, c x - b}{2 \, \sqrt{c}}\right)}{\sqrt{c}}"," ",0,"-arcsin(-1/2*(2*c*x - b)/sqrt(c))/sqrt(c)","A",0
127,1,19,0,2.890101," ","integrate(2/((-b^2+c)/c+4*b*x-4*c*x^2)^(1/2),x, algorithm=""maxima"")","-\frac{\arcsin\left(-\frac{2 \, c x - b}{\sqrt{c}}\right)}{\sqrt{c}}"," ",0,"-arcsin(-(2*c*x - b)/sqrt(c))/sqrt(c)","A",0
128,1,26,0,1.339610," ","integrate(1/(x^2+3*x+2)^(3/2),x, algorithm=""maxima"")","-\frac{4 \, x}{\sqrt{x^{2} + 3 \, x + 2}} - \frac{6}{\sqrt{x^{2} + 3 \, x + 2}}"," ",0,"-4*x/sqrt(x^2 + 3*x + 2) - 6/sqrt(x^2 + 3*x + 2)","A",0
129,1,30,0,1.236444," ","integrate(1/(4*x^2-24*x+27)^(3/2),x, algorithm=""maxima"")","-\frac{x}{9 \, \sqrt{4 \, x^{2} - 24 \, x + 27}} + \frac{1}{3 \, \sqrt{4 \, x^{2} - 24 \, x + 27}}"," ",0,"-1/9*x/sqrt(4*x^2 - 24*x + 27) + 1/3/sqrt(4*x^2 - 24*x + 27)","A",0
130,1,30,0,1.342267," ","integrate(x/(-x^2-4*x+5)^(3/2),x, algorithm=""maxima"")","-\frac{2 \, x}{9 \, \sqrt{-x^{2} - 4 \, x + 5}} + \frac{5}{9 \, \sqrt{-x^{2} - 4 \, x + 5}}"," ",0,"-2/9*x/sqrt(-x^2 - 4*x + 5) + 5/9/sqrt(-x^2 - 4*x + 5)","A",0
131,1,59,0,1.410604," ","integrate(1/(-x^2-4*x+5)^(5/2),x, algorithm=""maxima"")","\frac{2 \, x}{243 \, \sqrt{-x^{2} - 4 \, x + 5}} + \frac{4}{243 \, \sqrt{-x^{2} - 4 \, x + 5}} + \frac{x}{27 \, {\left(-x^{2} - 4 \, x + 5\right)}^{\frac{3}{2}}} + \frac{2}{27 \, {\left(-x^{2} - 4 \, x + 5\right)}^{\frac{3}{2}}}"," ",0,"2/243*x/sqrt(-x^2 - 4*x + 5) + 4/243/sqrt(-x^2 - 4*x + 5) + 1/27*x/(-x^2 - 4*x + 5)^(3/2) + 2/27/(-x^2 - 4*x + 5)^(3/2)","A",0
132,0,0,0,0.000000," ","integrate((c*x^2+b*x+a)^p,x, algorithm=""maxima"")","\int {\left(c x^{2} + b x + a\right)}^{p}\,{d x}"," ",0,"integrate((c*x^2 + b*x + a)^p, x)","F",0
133,0,0,0,0.000000," ","integrate((5*x^2+4*x+3)^p,x, algorithm=""maxima"")","\int {\left(5 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((5*x^2 + 4*x + 3)^p, x)","F",0
134,0,0,0,0.000000," ","integrate((4*x^2+4*x+3)^p,x, algorithm=""maxima"")","\int {\left(4 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((4*x^2 + 4*x + 3)^p, x)","F",0
135,0,0,0,0.000000," ","integrate((3*x^2+4*x+3)^p,x, algorithm=""maxima"")","\int {\left(3 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((3*x^2 + 4*x + 3)^p, x)","F",0
136,0,0,0,0.000000," ","integrate((2*x^2+4*x+3)^p,x, algorithm=""maxima"")","\int {\left(2 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((2*x^2 + 4*x + 3)^p, x)","F",0
137,0,0,0,0.000000," ","integrate((x^2+4*x+3)^p,x, algorithm=""maxima"")","\int {\left(x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((x^2 + 4*x + 3)^p, x)","F",0
138,1,16,0,1.246151," ","integrate((3+4*x)^p,x, algorithm=""maxima"")","\frac{{\left(4 \, x + 3\right)}^{p + 1}}{4 \, {\left(p + 1\right)}}"," ",0,"1/4*(4*x + 3)^(p + 1)/(p + 1)","A",0
139,0,0,0,0.000000," ","integrate((-x^2+4*x+3)^p,x, algorithm=""maxima"")","\int {\left(-x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((-x^2 + 4*x + 3)^p, x)","F",0
140,0,0,0,0.000000," ","integrate((-2*x^2+4*x+3)^p,x, algorithm=""maxima"")","\int {\left(-2 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((-2*x^2 + 4*x + 3)^p, x)","F",0
141,0,0,0,0.000000," ","integrate((-3*x^2+4*x+3)^p,x, algorithm=""maxima"")","\int {\left(-3 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((-3*x^2 + 4*x + 3)^p, x)","F",0
142,0,0,0,0.000000," ","integrate((-4*x^2+4*x+3)^p,x, algorithm=""maxima"")","\int {\left(-4 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((-4*x^2 + 4*x + 3)^p, x)","F",0
143,0,0,0,0.000000," ","integrate((-5*x^2+4*x+3)^p,x, algorithm=""maxima"")","\int {\left(-5 \, x^{2} + 4 \, x + 3\right)}^{p}\,{d x}"," ",0,"integrate((-5*x^2 + 4*x + 3)^p, x)","F",0
