1,1,151,147,0.735376,"\text{Not used}","int((b*x + c*x^2)^(7/2),x)","\frac{{\left(c\,x^2+b\,x\right)}^{7/2}\,\left(\frac{b}{2}+c\,x\right)}{8\,c}-\frac{7\,b^2\,\left(\frac{{\left(c\,x^2+b\,x\right)}^{5/2}\,\left(\frac{b}{2}+c\,x\right)}{6\,c}-\frac{5\,b^2\,\left(\frac{{\left(c\,x^2+b\,x\right)}^{3/2}\,\left(\frac{b}{2}+c\,x\right)}{4\,c}-\frac{3\,b^2\,\left(\sqrt{c\,x^2+b\,x}\,\left(\frac{x}{2}+\frac{b}{4\,c}\right)-\frac{b^2\,\ln\left(\frac{\frac{b}{2}+c\,x}{\sqrt{c}}+\sqrt{c\,x^2+b\,x}\right)}{8\,c^{3/2}}\right)}{16\,c}\right)}{24\,c}\right)}{32\,c}","Not used",1,"((b*x + c*x^2)^(7/2)*(b/2 + c*x))/(8*c) - (7*b^2*(((b*x + c*x^2)^(5/2)*(b/2 + c*x))/(6*c) - (5*b^2*(((b*x + c*x^2)^(3/2)*(b/2 + c*x))/(4*c) - (3*b^2*((b*x + c*x^2)^(1/2)*(x/2 + b/(4*c)) - (b^2*log((b/2 + c*x)/c^(1/2) + (b*x + c*x^2)^(1/2)))/(8*c^(3/2))))/(16*c)))/(24*c)))/(32*c)","B"
2,1,100,121,0.291847,"\text{Not used}","int((x*3i + 4*x^2)^(7/2),x)","\frac{229635\,\ln\left(x+\frac{\sqrt{x\,\left(4\,x+3{}\mathrm{i}\right)}}{2}+\frac{3}{8}{}\mathrm{i}\right)}{16777216}+\frac{945\,\left(4\,x+\frac{3}{2}{}\mathrm{i}\right)\,{\left(4\,x^2+x\,3{}\mathrm{i}\right)}^{3/2}}{65536}+\frac{21\,\left(4\,x+\frac{3}{2}{}\mathrm{i}\right)\,{\left(4\,x^2+x\,3{}\mathrm{i}\right)}^{5/2}}{1024}+\frac{\left(4\,x+\frac{3}{2}{}\mathrm{i}\right)\,{\left(4\,x^2+x\,3{}\mathrm{i}\right)}^{7/2}}{32}+\frac{25515\,\left(\frac{x}{2}+\frac{3}{16}{}\mathrm{i}\right)\,\sqrt{4\,x^2+x\,3{}\mathrm{i}}}{262144}","Not used",1,"(229635*log(x + (x*(4*x + 3i))^(1/2)/2 + 3i/8))/16777216 + (945*(4*x + 3i/2)*(x*3i + 4*x^2)^(3/2))/65536 + (21*(4*x + 3i/2)*(x*3i + 4*x^2)^(5/2))/1024 + ((4*x + 3i/2)*(x*3i + 4*x^2)^(7/2))/32 + (25515*(x/2 + 3i/16)*(x*3i + 4*x^2)^(1/2))/262144","B"
3,1,80,95,0.298339,"\text{Not used}","int((x*3i + 4*x^2)^(5/2),x)","\frac{3645\,\ln\left(x+\frac{\sqrt{x\,\left(4\,x+3{}\mathrm{i}\right)}}{2}+\frac{3}{8}{}\mathrm{i}\right)}{131072}+\frac{15\,\left(4\,x+\frac{3}{2}{}\mathrm{i}\right)\,{\left(4\,x^2+x\,3{}\mathrm{i}\right)}^{3/2}}{512}+\frac{\left(4\,x+\frac{3}{2}{}\mathrm{i}\right)\,{\left(4\,x^2+x\,3{}\mathrm{i}\right)}^{5/2}}{24}+\frac{405\,\left(\frac{x}{2}+\frac{3}{16}{}\mathrm{i}\right)\,\sqrt{4\,x^2+x\,3{}\mathrm{i}}}{2048}","Not used",1,"(3645*log(x + (x*(4*x + 3i))^(1/2)/2 + 3i/8))/131072 + (15*(4*x + 3i/2)*(x*3i + 4*x^2)^(3/2))/512 + ((4*x + 3i/2)*(x*3i + 4*x^2)^(5/2))/24 + (405*(x/2 + 3i/16)*(x*3i + 4*x^2)^(1/2))/2048","B"
4,1,60,69,0.162204,"\text{Not used}","int((x*3i + 4*x^2)^(3/2),x)","\frac{243\,\ln\left(x+\frac{\sqrt{x\,\left(4\,x+3{}\mathrm{i}\right)}}{2}+\frac{3}{8}{}\mathrm{i}\right)}{4096}+\frac{\left(4\,x+\frac{3}{2}{}\mathrm{i}\right)\,{\left(4\,x^2+x\,3{}\mathrm{i}\right)}^{3/2}}{16}+\frac{27\,\left(\frac{x}{2}+\frac{3}{16}{}\mathrm{i}\right)\,\sqrt{4\,x^2+x\,3{}\mathrm{i}}}{64}","Not used",1,"(243*log(x + (x*(4*x + 3i))^(1/2)/2 + 3i/8))/4096 + ((4*x + 3i/2)*(x*3i + 4*x^2)^(3/2))/16 + (27*(x/2 + 3i/16)*(x*3i + 4*x^2)^(1/2))/64","B"
5,1,39,43,0.087294,"\text{Not used}","int((x*3i + 4*x^2)^(1/2),x)","\frac{9\,\ln\left(x+\frac{\sqrt{x\,\left(4\,x+3{}\mathrm{i}\right)}}{2}+\frac{3}{8}{}\mathrm{i}\right)}{64}+\left(\frac{x}{2}+\frac{3}{16}{}\mathrm{i}\right)\,\sqrt{4\,x^2+x\,3{}\mathrm{i}}","Not used",1,"(9*log(x + (x*(4*x + 3i))^(1/2)/2 + 3i/8))/64 + (x/2 + 3i/16)*(x*3i + 4*x^2)^(1/2)","B"
6,1,81,101,0.165669,"\text{Not used}","int((3*x - 4*x^2)^(7/2),x)","\frac{229635\,\mathrm{asin}\left(\frac{8\,x}{3}-1\right)}{16777216}+\frac{945\,\left(4\,x-\frac{3}{2}\right)\,{\left(3\,x-4\,x^2\right)}^{3/2}}{65536}+\frac{21\,\left(4\,x-\frac{3}{2}\right)\,{\left(3\,x-4\,x^2\right)}^{5/2}}{1024}+\frac{\left(4\,x-\frac{3}{2}\right)\,{\left(3\,x-4\,x^2\right)}^{7/2}}{32}+\frac{25515\,\left(\frac{x}{2}-\frac{3}{16}\right)\,\sqrt{3\,x-4\,x^2}}{262144}","Not used",1,"(229635*asin((8*x)/3 - 1))/16777216 + (945*(4*x - 3/2)*(3*x - 4*x^2)^(3/2))/65536 + (21*(4*x - 3/2)*(3*x - 4*x^2)^(5/2))/1024 + ((4*x - 3/2)*(3*x - 4*x^2)^(7/2))/32 + (25515*(x/2 - 3/16)*(3*x - 4*x^2)^(1/2))/262144","B"
7,1,63,79,0.242471,"\text{Not used}","int((3*x - 4*x^2)^(5/2),x)","\frac{3645\,\mathrm{asin}\left(\frac{8\,x}{3}-1\right)}{131072}+\frac{15\,\left(4\,x-\frac{3}{2}\right)\,{\left(3\,x-4\,x^2\right)}^{3/2}}{512}+\frac{\left(4\,x-\frac{3}{2}\right)\,{\left(3\,x-4\,x^2\right)}^{5/2}}{24}+\frac{405\,\left(\frac{x}{2}-\frac{3}{16}\right)\,\sqrt{3\,x-4\,x^2}}{2048}","Not used",1,"(3645*asin((8*x)/3 - 1))/131072 + (15*(4*x - 3/2)*(3*x - 4*x^2)^(3/2))/512 + ((4*x - 3/2)*(3*x - 4*x^2)^(5/2))/24 + (405*(x/2 - 3/16)*(3*x - 4*x^2)^(1/2))/2048","B"
8,1,45,57,0.111718,"\text{Not used}","int((3*x - 4*x^2)^(3/2),x)","\frac{243\,\mathrm{asin}\left(\frac{8\,x}{3}-1\right)}{4096}+\frac{\left(4\,x-\frac{3}{2}\right)\,{\left(3\,x-4\,x^2\right)}^{3/2}}{16}+\frac{27\,\left(\frac{x}{2}-\frac{3}{16}\right)\,\sqrt{3\,x-4\,x^2}}{64}","Not used",1,"(243*asin((8*x)/3 - 1))/4096 + ((4*x - 3/2)*(3*x - 4*x^2)^(3/2))/16 + (27*(x/2 - 3/16)*(3*x - 4*x^2)^(1/2))/64","B"
9,1,26,35,0.051998,"\text{Not used}","int((3*x - 4*x^2)^(1/2),x)","\frac{9\,\mathrm{asin}\left(\frac{8\,x}{3}-1\right)}{64}+\left(\frac{x}{2}-\frac{3}{16}\right)\,\sqrt{3\,x-4\,x^2}","Not used",1,"(9*asin((8*x)/3 - 1))/64 + (x/2 - 3/16)*(3*x - 4*x^2)^(1/2)","B"
10,1,26,35,0.048461,"\text{Not used}","int((6*x - x^2)^(1/2),x)","\frac{9\,\mathrm{asin}\left(\frac{x}{3}-1\right)}{2}+\left(\frac{x}{2}-\frac{3}{2}\right)\,\sqrt{6\,x-x^2}","Not used",1,"(9*asin(x/3 - 1))/2 + (x/2 - 3/2)*(6*x - x^2)^(1/2)","B"
11,1,26,35,0.053502,"\text{Not used}","int((5*x - 9*x^2)^(1/2),x)","\frac{25\,\mathrm{asin}\left(\frac{18\,x}{5}-1\right)}{216}+\left(\frac{x}{2}-\frac{5}{36}\right)\,\sqrt{5\,x-9\,x^2}","Not used",1,"(25*asin((18*x)/5 - 1))/216 + (x/2 - 5/36)*(5*x - 9*x^2)^(1/2)","B"
12,1,39,51,0.194277,"\text{Not used}","int((x - x^2)^(3/2),x)","\frac{3\,\mathrm{asin}\left(2\,x-1\right)}{128}+\frac{3\,\sqrt{x-x^2}\,\left(\frac{x}{2}-\frac{1}{4}\right)}{16}+\frac{{\left(x-x^2\right)}^{3/2}\,\left(x-\frac{1}{2}\right)}{4}","Not used",1,"(3*asin(2*x - 1))/128 + (3*(x - x^2)^(1/2)*(x/2 - 1/4))/16 + ((x - x^2)^(3/2)*(x - 1/2))/4","B"
13,1,29,35,0.198551,"\text{Not used}","int((4*x + x^2)^(1/2),x)","\sqrt{x^2+4\,x}\,\left(\frac{x}{2}+1\right)-2\,\ln\left(x+\sqrt{x\,\left(x+4\right)}+2\right)","Not used",1,"(4*x + x^2)^(1/2)*(x/2 + 1) - 2*log(x + (x*(x + 4))^(1/2) + 2)","B"
14,1,29,37,0.109413,"\text{Not used}","int((x^2 - 8*x)^(1/2),x)","\left(\frac{x}{2}-2\right)\,\sqrt{x^2-8\,x}-8\,\ln\left(x+\sqrt{x\,\left(x-8\right)}-4\right)","Not used",1,"(x/2 - 2)*(x^2 - 8*x)^(1/2) - 8*log(x + (x*(x - 8))^(1/2) - 4)","B"
15,1,29,39,0.195440,"\text{Not used}","int((x^2 - x)^(1/2),x)","\sqrt{x^2-x}\,\left(\frac{x}{2}-\frac{1}{4}\right)-\frac{\ln\left(x+\sqrt{x\,\left(x-1\right)}-\frac{1}{2}\right)}{8}","Not used",1,"(x^2 - x)^(1/2)*(x/2 - 1/4) - log(x + (x*(x - 1))^(1/2) - 1/2)/8","B"
16,1,96,83,0.271103,"\text{Not used}","int(1/(b*x + c*x^2)^(7/2),x)","-\frac{6\,b^5+256\,b\,c^2\,{\left(c\,x^2+b\,x\right)}^2+512\,c^3\,x\,{\left(c\,x^2+b\,x\right)}^2-32\,b^3\,c\,\left(c\,x^2+b\,x\right)+12\,b^4\,c\,x-64\,b^2\,c^2\,x\,\left(c\,x^2+b\,x\right)}{15\,b^6\,{\left(c\,x^2+b\,x\right)}^{5/2}}","Not used",1,"-(6*b^5 + 256*b*c^2*(b*x + c*x^2)^2 + 512*c^3*x*(b*x + c*x^2)^2 - 32*b^3*c*(b*x + c*x^2) + 12*b^4*c*x - 64*b^2*c^2*x*(b*x + c*x^2))/(15*b^6*(b*x + c*x^2)^(5/2))","B"
17,1,19,16,0.276357,"\text{Not used}","int(1/(x*3i + 4*x^2)^(1/2),x)","\frac{\ln\left(x+\frac{\sqrt{x\,\left(4\,x+3{}\mathrm{i}\right)}}{2}+\frac{3}{8}{}\mathrm{i}\right)}{2}","Not used",1,"log(x + (x*(4*x + 3i))^(1/2)/2 + 3i/8)/2","B"
18,1,20,26,0.045173,"\text{Not used}","int(1/(x*3i + 4*x^2)^(3/2),x)","\frac{16\,x+6{}\mathrm{i}}{9\,\sqrt{4\,x^2+x\,3{}\mathrm{i}}}","Not used",1,"(16*x + 6i)/(9*(x*3i + 4*x^2)^(1/2))","B"
19,1,31,53,0.124326,"\text{Not used}","int(1/(x*3i + 4*x^2)^(5/2),x)","\frac{\left(16\,x+6{}\mathrm{i}\right)\,\left(128\,x^2+x\,96{}\mathrm{i}+9\right)}{243\,{\left(4\,x^2+x\,3{}\mathrm{i}\right)}^{3/2}}","Not used",1,"((16*x + 6i)*(x*96i + 128*x^2 + 9))/(243*(x*3i + 4*x^2)^(3/2))","B"
20,1,40,79,0.286112,"\text{Not used}","int(1/(x*3i + 4*x^2)^(7/2),x)","-\frac{-524288\,x^5-x^4\,983040{}\mathrm{i}+552960\,x^3+x^2\,69120{}\mathrm{i}+6480\,x-1458{}\mathrm{i}}{10935\,{\left(x\,\left(4\,x+3{}\mathrm{i}\right)\right)}^{5/2}}","Not used",1,"-(6480*x + x^2*69120i + 552960*x^3 - x^4*983040i - 524288*x^5 - 1458i)/(10935*(x*(4*x + 3i))^(5/2))","B"
21,1,8,12,0.106026,"\text{Not used}","int(1/(3*x - 4*x^2)^(1/2),x)","\frac{\mathrm{asin}\left(\frac{8\,x}{3}-1\right)}{2}","Not used",1,"asin((8*x)/3 - 1)/2","B"
22,1,18,22,0.136189,"\text{Not used}","int(1/(3*x - 4*x^2)^(3/2),x)","\frac{16\,x-6}{9\,\sqrt{3\,x-4\,x^2}}","Not used",1,"(16*x - 6)/(9*(3*x - 4*x^2)^(1/2))","B"
23,1,28,45,0.031949,"\text{Not used}","int(1/(3*x - 4*x^2)^(5/2),x)","\frac{\left(16\,x-6\right)\,\left(-128\,x^2+96\,x+9\right)}{243\,{\left(3\,x-4\,x^2\right)}^{3/2}}","Not used",1,"((16*x - 6)*(96*x - 128*x^2 + 9))/(243*(3*x - 4*x^2)^(3/2))","B"
24,1,73,67,0.195348,"\text{Not used}","int(1/(3*x - 4*x^2)^(7/2),x)","-\frac{6480\,x-9216\,x\,\left(3\,x-4\,x^2\right)-32768\,x\,{\left(3\,x-4\,x^2\right)}^2+12288\,{\left(3\,x-4\,x^2\right)}^2-13824\,x^2+1458}{{\left(3\,x-4\,x^2\right)}^{3/2}\,\left(32805\,x-43740\,x^2\right)}","Not used",1,"-(6480*x - 9216*x*(3*x - 4*x^2) - 32768*x*(3*x - 4*x^2)^2 + 12288*(3*x - 4*x^2)^2 - 13824*x^2 + 1458)/((3*x - 4*x^2)^(3/2)*(32805*x - 43740*x^2))","B"
25,1,42,12,0.312197,"\text{Not used}","int(1/(b*x - b^2*x^2)^(1/2),x)","\frac{\ln\left(\frac{\frac{b}{2}-b^2\,x}{\sqrt{-b^2}}+\sqrt{b\,x-b^2\,x^2}\right)}{\sqrt{-b^2}}","Not used",1,"log((b/2 - b^2*x)/(-b^2)^(1/2) + (b*x - b^2*x^2)^(1/2))/(-b^2)^(1/2)","B"
26,1,36,24,0.225953,"\text{Not used}","int(1/(b*x + b^2*x^2)^(1/2),x)","\frac{\ln\left(\frac{x\,b^2+\frac{b}{2}}{\sqrt{b^2}}+\sqrt{b^2\,x^2+b\,x}\right)}{\sqrt{b^2}}","Not used",1,"log((b/2 + b^2*x)/(b^2)^(1/2) + (b*x + b^2*x^2)^(1/2))/(b^2)^(1/2)","B"
27,1,6,10,0.109186,"\text{Not used}","int(1/(6*x - x^2)^(1/2),x)","\mathrm{asin}\left(\frac{x}{3}-1\right)","Not used",1,"asin(x/3 - 1)","B"
28,1,11,16,0.511444,"\text{Not used}","int(1/(4*x + x^2)^(1/2),x)","\ln\left(x+\sqrt{x\,\left(x+4\right)}+2\right)","Not used",1,"log(x + (x*(x + 4))^(1/2) + 2)","B"
29,1,11,16,0.528905,"\text{Not used}","int(1/(x^2 - 2*x)^(1/2),x)","\ln\left(x+\sqrt{x\,\left(x-2\right)}-1\right)","Not used",1,"log(x + (x*(x - 2))^(1/2) - 1)","B"
30,1,36,448,0.233517,"\text{Not used}","int((b*x + c*x^2)^(4/3),x)","\frac{3\,x\,{\left(c\,x^2+b\,x\right)}^{4/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{4}{3},\frac{7}{3};\ \frac{10}{3};\ -\frac{c\,x}{b}\right)}{7\,{\left(\frac{c\,x}{b}+1\right)}^{4/3}}","Not used",1,"(3*x*(b*x + c*x^2)^(4/3)*hypergeom([-4/3, 7/3], 10/3, -(c*x)/b))/(7*((c*x)/b + 1)^(4/3))","B"
31,1,36,387,0.173378,"\text{Not used}","int((b*x + c*x^2)^(1/3),x)","\frac{3\,x\,{\left(c\,x^2+b\,x\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},\frac{4}{3};\ \frac{7}{3};\ -\frac{c\,x}{b}\right)}{4\,{\left(\frac{c\,x}{b}+1\right)}^{1/3}}","Not used",1,"(3*x*(b*x + c*x^2)^(1/3)*hypergeom([-1/3, 4/3], 7/3, -(c*x)/b))/(4*((c*x)/b + 1)^(1/3))","B"
32,1,36,322,0.215492,"\text{Not used}","int(1/(b*x + c*x^2)^(2/3),x)","\frac{3\,x\,{\left(\frac{c\,x}{b}+1\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{2}{3};\ \frac{4}{3};\ -\frac{c\,x}{b}\right)}{{\left(c\,x^2+b\,x\right)}^{2/3}}","Not used",1,"(3*x*((c*x)/b + 1)^(2/3)*hypergeom([1/3, 2/3], 4/3, -(c*x)/b))/(b*x + c*x^2)^(2/3)","B"
33,1,36,384,0.248650,"\text{Not used}","int(1/(b*x + c*x^2)^(5/3),x)","-\frac{3\,x\,{\left(\frac{c\,x}{b}+1\right)}^{5/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{2}{3},\frac{5}{3};\ \frac{1}{3};\ -\frac{c\,x}{b}\right)}{2\,{\left(c\,x^2+b\,x\right)}^{5/3}}","Not used",1,"-(3*x*((c*x)/b + 1)^(5/3)*hypergeom([-2/3, 5/3], 1/3, -(c*x)/b))/(2*(b*x + c*x^2)^(5/3))","B"
34,1,36,448,0.274786,"\text{Not used}","int(1/(b*x + c*x^2)^(8/3),x)","-\frac{3\,x\,{\left(\frac{c\,x}{b}+1\right)}^{8/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{3},\frac{8}{3};\ -\frac{2}{3};\ -\frac{c\,x}{b}\right)}{5\,{\left(c\,x^2+b\,x\right)}^{8/3}}","Not used",1,"-(3*x*((c*x)/b + 1)^(8/3)*hypergeom([-5/3, 8/3], -2/3, -(c*x)/b))/(5*(b*x + c*x^2)^(8/3))","B"
35,1,36,842,0.181126,"\text{Not used}","int((b*x + c*x^2)^(5/3),x)","\frac{3\,x\,{\left(c\,x^2+b\,x\right)}^{5/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{3},\frac{8}{3};\ \frac{11}{3};\ -\frac{c\,x}{b}\right)}{8\,{\left(\frac{c\,x}{b}+1\right)}^{5/3}}","Not used",1,"(3*x*(b*x + c*x^2)^(5/3)*hypergeom([-5/3, 8/3], 11/3, -(c*x)/b))/(8*((c*x)/b + 1)^(5/3))","B"
36,1,36,781,0.160211,"\text{Not used}","int((b*x + c*x^2)^(2/3),x)","\frac{3\,x\,{\left(c\,x^2+b\,x\right)}^{2/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{2}{3},\frac{5}{3};\ \frac{8}{3};\ -\frac{c\,x}{b}\right)}{5\,{\left(\frac{c\,x}{b}+1\right)}^{2/3}}","Not used",1,"(3*x*(b*x + c*x^2)^(2/3)*hypergeom([-2/3, 5/3], 8/3, -(c*x)/b))/(5*((c*x)/b + 1)^(2/3))","B"
37,1,36,715,0.199627,"\text{Not used}","int(1/(b*x + c*x^2)^(1/3),x)","\frac{3\,x\,{\left(\frac{c\,x}{b}+1\right)}^{1/3}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{3},\frac{2}{3};\ \frac{5}{3};\ -\frac{c\,x}{b}\right)}{2\,{\left(c\,x^2+b\,x\right)}^{1/3}}","Not used",1,"(3*x*((c*x)/b + 1)^(1/3)*hypergeom([1/3, 2/3], 5/3, -(c*x)/b))/(2*(b*x + c*x^2)^(1/3))","B"
38,1,36,773,0.230961,"\text{Not used}","int(1/(b*x + c*x^2)^(4/3),x)","-\frac{3\,x\,{\left(\frac{c\,x}{b}+1\right)}^{4/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{3},\frac{4}{3};\ \frac{2}{3};\ -\frac{c\,x}{b}\right)}{{\left(c\,x^2+b\,x\right)}^{4/3}}","Not used",1,"-(3*x*((c*x)/b + 1)^(4/3)*hypergeom([-1/3, 4/3], 2/3, -(c*x)/b))/(b*x + c*x^2)^(4/3)","B"
39,1,36,838,0.245272,"\text{Not used}","int(1/(b*x + c*x^2)^(7/3),x)","-\frac{3\,x\,{\left(\frac{c\,x}{b}+1\right)}^{7/3}\,{{}}_2{\mathrm{F}}_1\left(-\frac{4}{3},\frac{7}{3};\ -\frac{1}{3};\ -\frac{c\,x}{b}\right)}{4\,{\left(c\,x^2+b\,x\right)}^{7/3}}","Not used",1,"-(3*x*((c*x)/b + 1)^(7/3)*hypergeom([-4/3, 7/3], -1/3, -(c*x)/b))/(4*(b*x + c*x^2)^(7/3))","B"
40,1,36,119,0.189805,"\text{Not used}","int((b*x + c*x^2)^(5/4),x)","\frac{4\,x\,{\left(c\,x^2+b\,x\right)}^{5/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{4},\frac{9}{4};\ \frac{13}{4};\ -\frac{c\,x}{b}\right)}{9\,{\left(\frac{c\,x}{b}+1\right)}^{5/4}}","Not used",1,"(4*x*(b*x + c*x^2)^(5/4)*hypergeom([-5/4, 9/4], 13/4, -(c*x)/b))/(9*((c*x)/b + 1)^(5/4))","B"
41,1,36,90,0.168666,"\text{Not used}","int((b*x + c*x^2)^(3/4),x)","\frac{4\,x\,{\left(c\,x^2+b\,x\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{4},\frac{7}{4};\ \frac{11}{4};\ -\frac{c\,x}{b}\right)}{7\,{\left(\frac{c\,x}{b}+1\right)}^{3/4}}","Not used",1,"(4*x*(b*x + c*x^2)^(3/4)*hypergeom([-3/4, 7/4], 11/4, -(c*x)/b))/(7*((c*x)/b + 1)^(3/4))","B"
42,1,36,90,0.171536,"\text{Not used}","int((b*x + c*x^2)^(1/4),x)","\frac{4\,x\,{\left(c\,x^2+b\,x\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{5}{4};\ \frac{9}{4};\ -\frac{c\,x}{b}\right)}{5\,{\left(\frac{c\,x}{b}+1\right)}^{1/4}}","Not used",1,"(4*x*(b*x + c*x^2)^(1/4)*hypergeom([-1/4, 5/4], 9/4, -(c*x)/b))/(5*((c*x)/b + 1)^(1/4))","B"
43,1,36,58,0.198885,"\text{Not used}","int(1/(b*x + c*x^2)^(1/4),x)","\frac{4\,x\,{\left(\frac{c\,x}{b}+1\right)}^{1/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{3}{4};\ \frac{7}{4};\ -\frac{c\,x}{b}\right)}{3\,{\left(c\,x^2+b\,x\right)}^{1/4}}","Not used",1,"(4*x*((c*x)/b + 1)^(1/4)*hypergeom([1/4, 3/4], 7/4, -(c*x)/b))/(3*(b*x + c*x^2)^(1/4))","B"
44,1,36,59,0.188926,"\text{Not used}","int(1/(b*x + c*x^2)^(3/4),x)","\frac{4\,x\,{\left(\frac{c\,x}{b}+1\right)}^{3/4}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},\frac{3}{4};\ \frac{5}{4};\ -\frac{c\,x}{b}\right)}{{\left(c\,x^2+b\,x\right)}^{3/4}}","Not used",1,"(4*x*((c*x)/b + 1)^(3/4)*hypergeom([1/4, 3/4], 5/4, -(c*x)/b))/(b*x + c*x^2)^(3/4)","B"
45,1,36,83,0.224136,"\text{Not used}","int(1/(b*x + c*x^2)^(5/4),x)","-\frac{4\,x\,{\left(\frac{c\,x}{b}+1\right)}^{5/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{1}{4},\frac{5}{4};\ \frac{3}{4};\ -\frac{c\,x}{b}\right)}{{\left(c\,x^2+b\,x\right)}^{5/4}}","Not used",1,"-(4*x*((c*x)/b + 1)^(5/4)*hypergeom([-1/4, 5/4], 3/4, -(c*x)/b))/(b*x + c*x^2)^(5/4)","B"
46,1,36,115,0.256233,"\text{Not used}","int(1/(b*x + c*x^2)^(9/4),x)","-\frac{4\,x\,{\left(\frac{c\,x}{b}+1\right)}^{9/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{4},\frac{9}{4};\ -\frac{1}{4};\ -\frac{c\,x}{b}\right)}{5\,{\left(c\,x^2+b\,x\right)}^{9/4}}","Not used",1,"-(4*x*((c*x)/b + 1)^(9/4)*hypergeom([-5/4, 9/4], -1/4, -(c*x)/b))/(5*(b*x + c*x^2)^(9/4))","B"
47,1,36,146,0.287597,"\text{Not used}","int(1/(b*x + c*x^2)^(13/4),x)","-\frac{4\,x\,{\left(\frac{c\,x}{b}+1\right)}^{13/4}\,{{}}_2{\mathrm{F}}_1\left(-\frac{9}{4},\frac{13}{4};\ -\frac{5}{4};\ -\frac{c\,x}{b}\right)}{9\,{\left(c\,x^2+b\,x\right)}^{13/4}}","Not used",1,"-(4*x*((c*x)/b + 1)^(13/4)*hypergeom([-9/4, 13/4], -5/4, -(c*x)/b))/(9*(b*x + c*x^2)^(13/4))","B"
48,1,48,55,0.316291,"\text{Not used}","int((b*x + c*x^2)^p,x)","\frac{x\,{\left(c\,x^2+b\,x\right)}^p\,{{}}_2{\mathrm{F}}_1\left(-p,p+1;\ p+2;\ -\frac{c\,x}{b}\right)}{{\left(\frac{c\,x}{b}+1\right)}^p\,\left(p+1\right)}","Not used",1,"(x*(b*x + c*x^2)^p*hypergeom([-p, p + 1], p + 2, -(c*x)/b))/(((c*x)/b + 1)^p*(p + 1))","B"
49,1,43,51,0.025653,"\text{Not used}","int((a + c*x^2)^4,x)","a^4\,x+\frac{4\,a^3\,c\,x^3}{3}+\frac{6\,a^2\,c^2\,x^5}{5}+\frac{4\,a\,c^3\,x^7}{7}+\frac{c^4\,x^9}{9}","Not used",1,"a^4*x + (c^4*x^9)/9 + (4*a^3*c*x^3)/3 + (4*a*c^3*x^7)/7 + (6*a^2*c^2*x^5)/5","B"
50,1,31,35,0.038658,"\text{Not used}","int((a + c*x^2)^3,x)","a^3\,x+a^2\,c\,x^3+\frac{3\,a\,c^2\,x^5}{5}+\frac{c^3\,x^7}{7}","Not used",1,"a^3*x + (c^3*x^7)/7 + a^2*c*x^3 + (3*a*c^2*x^5)/5","B"
51,1,21,25,0.028838,"\text{Not used}","int((a + c*x^2)^2,x)","a^2\,x+\frac{2\,a\,c\,x^3}{3}+\frac{c^2\,x^5}{5}","Not used",1,"a^2*x + (c^2*x^5)/5 + (2*a*c*x^3)/3","B"
52,1,10,12,0.017286,"\text{Not used}","int(a + c*x^2,x)","\frac{c\,x^3}{3}+a\,x","Not used",1,"a*x + (c*x^3)/3","B"
53,1,16,24,0.065604,"\text{Not used}","int(1/(a + c*x^2),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{\sqrt{a}\,\sqrt{c}}","Not used",1,"atan((c^(1/2)*x)/a^(1/2))/(a^(1/2)*c^(1/2))","B"
54,1,33,45,0.143403,"\text{Not used}","int(1/(a + c*x^2)^2,x)","\frac{x}{2\,a\,\left(c\,x^2+a\right)}+\frac{\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{2\,a^{3/2}\,\sqrt{c}}","Not used",1,"x/(2*a*(a + c*x^2)) + atan((c^(1/2)*x)/a^(1/2))/(2*a^(3/2)*c^(1/2))","B"
55,1,55,62,0.161504,"\text{Not used}","int(1/(a + c*x^2)^3,x)","\frac{\frac{5\,x}{8\,a}+\frac{3\,c\,x^3}{8\,a^2}}{a^2+2\,a\,c\,x^2+c^2\,x^4}+\frac{3\,\mathrm{atan}\left(\frac{\sqrt{c}\,x}{\sqrt{a}}\right)}{8\,a^{5/2}\,\sqrt{c}}","Not used",1,"((5*x)/(8*a) + (3*c*x^3)/(8*a^2))/(a^2 + c^2*x^4 + 2*a*c*x^2) + (3*atan((c^(1/2)*x)/a^(1/2)))/(8*a^(5/2)*c^(1/2))","B"
56,1,37,84,0.204269,"\text{Not used}","int((a + c*x^2)^(5/2),x)","\frac{x\,{\left(c\,x^2+a\right)}^{5/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{5}{2},\frac{1}{2};\ \frac{3}{2};\ -\frac{c\,x^2}{a}\right)}{{\left(\frac{c\,x^2}{a}+1\right)}^{5/2}}","Not used",1,"(x*(a + c*x^2)^(5/2)*hypergeom([-5/2, 1/2], 3/2, -(c*x^2)/a))/((c*x^2)/a + 1)^(5/2)","B"
57,1,37,65,0.157184,"\text{Not used}","int((a + c*x^2)^(3/2),x)","\frac{x\,{\left(c\,x^2+a\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(-\frac{3}{2},\frac{1}{2};\ \frac{3}{2};\ -\frac{c\,x^2}{a}\right)}{{\left(\frac{c\,x^2}{a}+1\right)}^{3/2}}","Not used",1,"(x*(a + c*x^2)^(3/2)*hypergeom([-3/2, 1/2], 3/2, -(c*x^2)/a))/((c*x^2)/a + 1)^(3/2)","B"
58,1,35,46,0.127323,"\text{Not used}","int((a + c*x^2)^(1/2),x)","\frac{x\,\sqrt{c\,x^2+a}}{2}+\frac{a\,\ln\left(\sqrt{c}\,x+\sqrt{c\,x^2+a}\right)}{2\,\sqrt{c}}","Not used",1,"(x*(a + c*x^2)^(1/2))/2 + (a*log(c^(1/2)*x + (a + c*x^2)^(1/2)))/(2*c^(1/2))","B"
59,1,20,25,0.186645,"\text{Not used}","int(1/(a + c*x^2)^(1/2),x)","\frac{\ln\left(\sqrt{c}\,x+\sqrt{c\,x^2+a}\right)}{\sqrt{c}}","Not used",1,"log(c^(1/2)*x + (a + c*x^2)^(1/2))/c^(1/2)","B"
60,1,14,16,0.032183,"\text{Not used}","int(1/(a + c*x^2)^(3/2),x)","\frac{x}{a\,\sqrt{c\,x^2+a}}","Not used",1,"x/(a*(a + c*x^2)^(1/2))","B"
61,1,28,39,0.191944,"\text{Not used}","int(1/(a + c*x^2)^(5/2),x)","\frac{2\,x\,\left(c\,x^2+a\right)+a\,x}{3\,a^2\,{\left(c\,x^2+a\right)}^{3/2}}","Not used",1,"(2*x*(a + c*x^2) + a*x)/(3*a^2*(a + c*x^2)^(3/2))","B"
62,1,44,58,0.193352,"\text{Not used}","int(1/(a + c*x^2)^(7/2),x)","\frac{8\,x\,{\left(c\,x^2+a\right)}^2+3\,a^2\,x+4\,a\,x\,\left(c\,x^2+a\right)}{15\,a^3\,{\left(c\,x^2+a\right)}^{5/2}}","Not used",1,"(8*x*(a + c*x^2)^2 + 3*a^2*x + 4*a*x*(a + c*x^2))/(15*a^3*(a + c*x^2)^(5/2))","B"
63,1,61,77,0.204918,"\text{Not used}","int(1/(a + c*x^2)^(9/2),x)","\frac{16\,x}{35\,a^4\,\sqrt{c\,x^2+a}}+\frac{8\,x}{35\,a^3\,{\left(c\,x^2+a\right)}^{3/2}}+\frac{6\,x}{35\,a^2\,{\left(c\,x^2+a\right)}^{5/2}}+\frac{x}{7\,a\,{\left(c\,x^2+a\right)}^{7/2}}","Not used",1,"(16*x)/(35*a^4*(a + c*x^2)^(1/2)) + (8*x)/(35*a^3*(a + c*x^2)^(3/2)) + (6*x)/(35*a^2*(a + c*x^2)^(5/2)) + x/(7*a*(a + c*x^2)^(7/2))","B"
64,1,19,23,0.048822,"\text{Not used}","int((12*x + 9*x^2 + 4)^(3/2),x)","\frac{\left(9\,x+6\right)\,{\left(9\,x^2+12\,x+4\right)}^{3/2}}{36}","Not used",1,"((9*x + 6)*(12*x + 9*x^2 + 4)^(3/2))/36","B"
65,1,19,23,0.045751,"\text{Not used}","int((12*x + 9*x^2 + 4)^(1/2),x)","\frac{\left(3\,x+2\right)\,\sqrt{9\,x^2+12\,x+4}}{6}","Not used",1,"((3*x + 2)*(12*x + 9*x^2 + 4)^(1/2))/6","B"
66,1,14,29,0.282719,"\text{Not used}","int(1/(12*x + 9*x^2 + 4)^(1/2),x)","\frac{\ln\left(9\,x+6\right)\,\mathrm{sign}\left(18\,x+12\right)}{3}","Not used",1,"(log(9*x + 6)*sign(18*x + 12))/3","B"
67,1,21,25,0.170076,"\text{Not used}","int(1/(12*x + 9*x^2 + 4)^(3/2),x)","-\frac{\sqrt{9\,x^2+12\,x+4}}{6\,{\left(3\,x+2\right)}^3}","Not used",1,"-(12*x + 9*x^2 + 4)^(1/2)/(6*(3*x + 2)^3)","B"
68,1,13,23,0.113332,"\text{Not used}","int(((3*x - 2)^2)^(1/2),x)","\frac{\left|3\,x-2\right|\,\left(3\,x-2\right)}{6}","Not used",1,"(abs(3*x - 2)*(3*x - 2))/6","B"
69,1,14,29,0.352784,"\text{Not used}","int(1/((3*x - 2)^2)^(1/2),x)","\frac{\ln\left(3\,x-2\right)\,\mathrm{sign}\left(3\,x-2\right)}{3}","Not used",1,"(log(3*x - 2)*sign(3*x - 2))/3","B"
70,1,18,23,0.326972,"\text{Not used}","int((-(3*x - 2)^2)^(1/2),x)","\frac{\left(3\,x-2\right)\,\sqrt{-{\left(3\,x-2\right)}^2}}{6}","Not used",1,"((3*x - 2)*(-(3*x - 2)^2)^(1/2))/6","B"
71,1,15,29,0.245297,"\text{Not used}","int(1/(-(3*x - 2)^2)^(1/2),x)","-\frac{\ln\left(2-3\,x\right)\,\mathrm{sign}\left(3\,x-2\right)\,1{}\mathrm{i}}{3}","Not used",1,"-(log(2 - 3*x)*sign(3*x - 2)*1i)/3","B"
72,1,18,23,0.066963,"\text{Not used}","int((-(3*x + 2)^2)^(1/2),x)","\frac{\left(3\,x+2\right)\,\sqrt{-{\left(3\,x+2\right)}^2}}{6}","Not used",1,"((3*x + 2)*(-(3*x + 2)^2)^(1/2))/6","B"
73,1,15,29,0.294922,"\text{Not used}","int(1/(-(3*x + 2)^2)^(1/2),x)","-\frac{\ln\left(-3\,x-2\right)\,\mathrm{sign}\left(3\,x+2\right)\,1{}\mathrm{i}}{3}","Not used",1,"-(log(- 3*x - 2)*sign(3*x + 2)*1i)/3","B"
74,1,184,109,0.314170,"\text{Not used}","int((b*x + c*x^2 + (b^2/4 - 1/4)/c)^5,x)","\frac{c^5\,x^{11}}{11}+\frac{x\,{\left(b^2-1\right)}^5}{1024\,c^5}+\frac{b\,x^6\,\left(63\,b^4-70\,b^2+15\right)}{48}+\frac{5\,c\,x^7\,\left(21\,b^4-14\,b^2+1\right)}{56}+\frac{b\,c^4\,x^{10}}{2}+\frac{5\,c^3\,x^9\,\left(9\,b^2-1\right)}{36}+\frac{x^5\,\left(21\,b^6-35\,b^4+15\,b^2-1\right)}{32\,c}+\frac{5\,b\,c^2\,x^8\,\left(3\,b^2-1\right)}{8}+\frac{5\,b\,x^2\,{\left(b^2-1\right)}^4}{512\,c^4}+\frac{5\,x^3\,{\left(b^2-1\right)}^3\,\left(9\,b^2-1\right)}{768\,c^3}+\frac{5\,b\,x^4\,{\left(b^2-1\right)}^2\,\left(3\,b^2-1\right)}{64\,c^2}","Not used",1,"(c^5*x^11)/11 + (x*(b^2 - 1)^5)/(1024*c^5) + (b*x^6*(63*b^4 - 70*b^2 + 15))/48 + (5*c*x^7*(21*b^4 - 14*b^2 + 1))/56 + (b*c^4*x^10)/2 + (5*c^3*x^9*(9*b^2 - 1))/36 + (x^5*(15*b^2 - 35*b^4 + 21*b^6 - 1))/(32*c) + (5*b*c^2*x^8*(3*b^2 - 1))/8 + (5*b*x^2*(b^2 - 1)^4)/(512*c^4) + (5*x^3*(b^2 - 1)^3*(9*b^2 - 1))/(768*c^3) + (5*b*x^4*(b^2 - 1)^2*(3*b^2 - 1))/(64*c^2)","B"
75,1,184,109,0.331333,"\text{Not used}","int((b*x + c*x^2 + (b^2/4 - 1)/c)^5,x)","\frac{c^5\,x^{11}}{11}+\frac{x\,{\left(b^2-4\right)}^5}{1024\,c^5}+\frac{b\,x^6\,\left(63\,b^4-280\,b^2+240\right)}{48}+\frac{5\,c\,x^7\,\left(21\,b^4-56\,b^2+16\right)}{56}+\frac{b\,c^4\,x^{10}}{2}+\frac{5\,c^3\,x^9\,\left(9\,b^2-4\right)}{36}+\frac{x^5\,\left(21\,b^6-140\,b^4+240\,b^2-64\right)}{32\,c}+\frac{5\,b\,c^2\,x^8\,\left(3\,b^2-4\right)}{8}+\frac{5\,b\,x^2\,{\left(b^2-4\right)}^4}{512\,c^4}+\frac{5\,x^3\,{\left(b^2-4\right)}^3\,\left(9\,b^2-4\right)}{768\,c^3}+\frac{5\,b\,x^4\,{\left(b^2-4\right)}^2\,\left(3\,b^2-4\right)}{64\,c^2}","Not used",1,"(c^5*x^11)/11 + (x*(b^2 - 4)^5)/(1024*c^5) + (b*x^6*(63*b^4 - 280*b^2 + 240))/48 + (5*c*x^7*(21*b^4 - 56*b^2 + 16))/56 + (b*c^4*x^10)/2 + (5*c^3*x^9*(9*b^2 - 4))/36 + (x^5*(240*b^2 - 140*b^4 + 21*b^6 - 64))/(32*c) + (5*b*c^2*x^8*(3*b^2 - 4))/8 + (5*b*x^2*(b^2 - 4)^4)/(512*c^4) + (5*x^3*(b^2 - 4)^3*(9*b^2 - 4))/(768*c^3) + (5*b*x^4*(b^2 - 4)^2*(3*b^2 - 4))/(64*c^2)","B"
76,1,176,109,0.337496,"\text{Not used}","int((b*x + c*x^2 + (b^2/4 - 9/4)/c)^5,x)","\frac{c^5\,x^{11}}{11}+\frac{5\,c^3\,x^9\,\left(b^2-1\right)}{4}+\frac{x\,{\left(b^2-9\right)}^5}{1024\,c^5}+\frac{3\,b\,x^6\,\left(7\,b^4-70\,b^2+135\right)}{16}+\frac{15\,c\,x^7\,\left(7\,b^4-42\,b^2+27\right)}{56}+\frac{b\,c^4\,x^{10}}{2}+\frac{3\,x^5\,\left(7\,b^6-105\,b^4+405\,b^2-243\right)}{32\,c}+\frac{15\,b\,c^2\,x^8\,\left(b^2-3\right)}{8}+\frac{15\,x^3\,\left(b^2-1\right)\,{\left(b^2-9\right)}^3}{256\,c^3}+\frac{5\,b\,x^2\,{\left(b^2-9\right)}^4}{512\,c^4}+\frac{15\,b\,x^4\,\left(b^2-3\right)\,{\left(b^2-9\right)}^2}{64\,c^2}","Not used",1,"(c^5*x^11)/11 + (5*c^3*x^9*(b^2 - 1))/4 + (x*(b^2 - 9)^5)/(1024*c^5) + (3*b*x^6*(7*b^4 - 70*b^2 + 135))/16 + (15*c*x^7*(7*b^4 - 42*b^2 + 27))/56 + (b*c^4*x^10)/2 + (3*x^5*(405*b^2 - 105*b^4 + 7*b^6 - 243))/(32*c) + (15*b*c^2*x^8*(b^2 - 3))/8 + (15*x^3*(b^2 - 1)*(b^2 - 9)^3)/(256*c^3) + (5*b*x^2*(b^2 - 9)^4)/(512*c^4) + (15*b*x^4*(b^2 - 3)*(b^2 - 9)^2)/(64*c^2)","B"
77,1,184,109,0.315573,"\text{Not used}","int((b*x + c*x^2 + (b^2/4 - 4)/c)^5,x)","\frac{c^5\,x^{11}}{11}+\frac{x\,{\left(b^2-16\right)}^5}{1024\,c^5}+\frac{b\,x^6\,\left(63\,b^4-1120\,b^2+3840\right)}{48}+\frac{5\,c\,x^7\,\left(21\,b^4-224\,b^2+256\right)}{56}+\frac{b\,c^4\,x^{10}}{2}+\frac{5\,c^3\,x^9\,\left(9\,b^2-16\right)}{36}+\frac{x^5\,\left(21\,b^6-560\,b^4+3840\,b^2-4096\right)}{32\,c}+\frac{5\,b\,c^2\,x^8\,\left(3\,b^2-16\right)}{8}+\frac{5\,b\,x^2\,{\left(b^2-16\right)}^4}{512\,c^4}+\frac{5\,x^3\,{\left(b^2-16\right)}^3\,\left(9\,b^2-16\right)}{768\,c^3}+\frac{5\,b\,x^4\,{\left(b^2-16\right)}^2\,\left(3\,b^2-16\right)}{64\,c^2}","Not used",1,"(c^5*x^11)/11 + (x*(b^2 - 16)^5)/(1024*c^5) + (b*x^6*(63*b^4 - 1120*b^2 + 3840))/48 + (5*c*x^7*(21*b^4 - 224*b^2 + 256))/56 + (b*c^4*x^10)/2 + (5*c^3*x^9*(9*b^2 - 16))/36 + (x^5*(3840*b^2 - 560*b^4 + 21*b^6 - 4096))/(32*c) + (5*b*c^2*x^8*(3*b^2 - 16))/8 + (5*b*x^2*(b^2 - 16)^4)/(512*c^4) + (5*x^3*(b^2 - 16)^3*(9*b^2 - 16))/(768*c^3) + (5*b*x^4*(b^2 - 16)^2*(3*b^2 - 16))/(64*c^2)","B"
78,1,16,18,0.139078,"\text{Not used}","int(1/(4*x + 3*x^2 + 2),x)","\frac{\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\left(3\,x+2\right)}{2}\right)}{2}","Not used",1,"(2^(1/2)*atan((2^(1/2)*(3*x + 2))/2))/2","B"
79,1,8,12,0.271923,"\text{Not used}","int(1/(x^2 - 2*3^(1/2)*x + 4),x)","\mathrm{atan}\left(x-\sqrt{3}\right)","Not used",1,"atan(x - 3^(1/2))","B"
80,1,15,19,0.208996,"\text{Not used}","int(1/(4*x - 3*x^2 + 2),x)","\frac{\sqrt{10}\,\mathrm{atanh}\left(\sqrt{10}\,\left(\frac{3\,x}{10}-\frac{1}{5}\right)\right)}{10}","Not used",1,"(10^(1/2)*atanh(10^(1/2)*((3*x)/10 - 1/5)))/10","B"
81,1,8,13,0.081605,"\text{Not used}","int(1/(5*x + 3*x^2 + 2),x)","-2\,\mathrm{atanh}\left(6\,x+5\right)","Not used",1,"-2*atanh(6*x + 5)","B"
82,1,8,21,0.091196,"\text{Not used}","int(1/(5*x - 3*x^2 + 2),x)","\frac{2\,\mathrm{atanh}\left(\frac{6\,x}{7}-\frac{5}{7}\right)}{7}","Not used",1,"(2*atanh((6*x)/7 - 5/7))/7","B"
83,1,6,6,0.176083,"\text{Not used}","int(1/(4*x + x^2 + 3),x)","-\mathrm{atanh}\left(x+2\right)","Not used",1,"-atanh(x + 2)","B"
84,1,23,27,0.358668,"\text{Not used}","int(1/(Pi*x + 2*x^2 + 1),x)","-\frac{2\,\mathrm{atanh}\left(\frac{\Pi +4\,x}{\sqrt{\Pi ^2-8}}\right)}{\sqrt{\Pi ^2-8}}","Not used",1,"-(2*atanh((Pi + 4*x)/(Pi^2 - 8)^(1/2)))/(Pi^2 - 8)^(1/2)","B"
85,1,23,27,0.385882,"\text{Not used}","int(1/(Pi*x - 2*x^2 + 1),x)","-\frac{2\,\mathrm{atanh}\left(\frac{\Pi -4\,x}{\sqrt{\Pi ^2+8}}\right)}{\sqrt{\Pi ^2+8}}","Not used",1,"-(2*atanh((Pi - 4*x)/(Pi^2 + 8)^(1/2)))/(Pi^2 + 8)^(1/2)","B"
86,1,23,31,0.380965,"\text{Not used}","int(1/(Pi*x + 3*x^2 + 1),x)","-\frac{2\,\mathrm{atanh}\left(\frac{\Pi +6\,x}{\sqrt{\Pi ^2-12}}\right)}{\sqrt{\Pi ^2-12}}","Not used",1,"-(2*atanh((Pi + 6*x)/(Pi^2 - 12)^(1/2)))/(Pi^2 - 12)^(1/2)","B"
87,1,23,27,0.417832,"\text{Not used}","int(1/(Pi*x - 3*x^2 + 1),x)","-\frac{2\,\mathrm{atanh}\left(\frac{\Pi -6\,x}{\sqrt{\Pi ^2+12}}\right)}{\sqrt{\Pi ^2+12}}","Not used",1,"-(2*atanh((Pi - 6*x)/(Pi^2 + 12)^(1/2)))/(Pi^2 + 12)^(1/2)","B"
88,1,46,38,0.228923,"\text{Not used}","int(1/(a + c*x + b*x^2),x)","\frac{2\,\mathrm{atan}\left(\frac{c}{\sqrt{4\,a\,b-c^2}}+\frac{2\,b\,x}{\sqrt{4\,a\,b-c^2}}\right)}{\sqrt{4\,a\,b-c^2}}","Not used",1,"(2*atan(c/(4*a*b - c^2)^(1/2) + (2*b*x)/(4*a*b - c^2)^(1/2)))/(4*a*b - c^2)^(1/2)","B"
89,1,33,35,0.272960,"\text{Not used}","int(1/(b + 2*a*x + b*x^2),x)","-\frac{\mathrm{atanh}\left(\frac{a+b\,x}{\sqrt{a+b}\,\sqrt{a-b}}\right)}{\sqrt{a+b}\,\sqrt{a-b}}","Not used",1,"-atanh((a + b*x)/((a + b)^(1/2)*(a - b)^(1/2)))/((a + b)^(1/2)*(a - b)^(1/2))","B"
90,1,28,32,0.226753,"\text{Not used}","int(1/(b + 2*a*x - b*x^2),x)","-\frac{\mathrm{atanh}\left(\frac{a-b\,x}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}","Not used",1,"-atanh((a - b*x)/(a^2 + b^2)^(1/2))/(a^2 + b^2)^(1/2)","B"
91,1,33,43,0.038119,"\text{Not used}","int(1/(4*x + 3*x^2 + 2)^2,x)","\frac{\frac{x}{4}+\frac{1}{6}}{x^2+\frac{4\,x}{3}+\frac{2}{3}}+\frac{3\,\sqrt{2}\,\mathrm{atan}\left(\frac{3\,\sqrt{2}\,x}{2}+\sqrt{2}\right)}{8}","Not used",1,"(x/4 + 1/6)/((4*x)/3 + x^2 + 2/3) + (3*2^(1/2)*atan((3*2^(1/2)*x)/2 + 2^(1/2)))/8","B"
92,1,34,43,0.163210,"\text{Not used}","int(1/(4*x - 3*x^2 + 2)^2,x)","\frac{3\,\sqrt{10}\,\mathrm{atanh}\left(\sqrt{10}\,\left(\frac{3\,x}{10}-\frac{1}{5}\right)\right)}{200}+\frac{\frac{x}{20}-\frac{1}{30}}{-x^2+\frac{4\,x}{3}+\frac{2}{3}}","Not used",1,"(3*10^(1/2)*atanh(10^(1/2)*((3*x)/10 - 1/5)))/200 + (x/20 - 1/30)/((4*x)/3 - x^2 + 2/3)","B"
93,1,34,34,0.200362,"\text{Not used}","int(1/(5*x + 3*x^2 + 2)^2,x)","-6\,\ln\left(\frac{3\,x+2}{x+1}\right)-\frac{2\,\left(3\,x+\frac{5}{2}\right)}{3\,x^2+5\,x+2}","Not used",1,"- 6*log((3*x + 2)/(x + 1)) - (2*(3*x + 5/2))/(5*x + 3*x^2 + 2)","B"
94,1,34,42,0.080325,"\text{Not used}","int(1/(5*x - 3*x^2 + 2)^2,x)","\frac{6\,\ln\left(\frac{3\,x+1}{x-2}\right)}{343}+\frac{2\,\left(3\,x-\frac{5}{2}\right)}{49\,\left(-3\,x^2+5\,x+2\right)}","Not used",1,"(6*log((3*x + 1)/(x - 2)))/343 + (2*(3*x - 5/2))/(49*(5*x - 3*x^2 + 2))","B"
95,1,119,71,0.170816,"\text{Not used}","int(1/(a + c*x + b*x^2)^2,x)","\frac{\frac{c}{4\,a\,b-c^2}+\frac{2\,b\,x}{4\,a\,b-c^2}}{b\,x^2+c\,x+a}-\frac{4\,b\,\mathrm{atan}\left(\frac{\left(\frac{2\,b\,\left(c^3-4\,a\,b\,c\right)}{{\left(4\,a\,b-c^2\right)}^{5/2}}-\frac{4\,b^2\,x}{{\left(4\,a\,b-c^2\right)}^{3/2}}\right)\,\left(4\,a\,b-c^2\right)}{2\,b}\right)}{{\left(4\,a\,b-c^2\right)}^{3/2}}","Not used",1,"(c/(4*a*b - c^2) + (2*b*x)/(4*a*b - c^2))/(a + c*x + b*x^2) - (4*b*atan((((2*b*(c^3 - 4*a*b*c))/(4*a*b - c^2)^(5/2) - (4*b^2*x)/(4*a*b - c^2)^(3/2))*(4*a*b - c^2))/(2*b)))/(4*a*b - c^2)^(3/2)","B"
96,1,107,72,0.319724,"\text{Not used}","int(1/(b + 2*a*x + b*x^2)^2,x)","-\frac{\frac{a}{2\,\left(a^2-b^2\right)}+\frac{b\,x}{2\,\left(a^2-b^2\right)}}{b\,x^2+2\,a\,x+b}+\frac{b\,\mathrm{atan}\left(\frac{-a^3\,1{}\mathrm{i}-1{}\mathrm{i}\,x\,a^2\,b+a\,b^2\,1{}\mathrm{i}+1{}\mathrm{i}\,x\,b^3}{{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}\right)\,1{}\mathrm{i}}{2\,{\left(a+b\right)}^{3/2}\,{\left(a-b\right)}^{3/2}}","Not used",1,"(b*atan((a*b^2*1i + b^3*x*1i - a^3*1i - a^2*b*x*1i)/((a + b)^(3/2)*(a - b)^(3/2)))*1i)/(2*(a + b)^(3/2)*(a - b)^(3/2)) - (a/(2*(a^2 - b^2)) + (b*x)/(2*(a^2 - b^2)))/(b + 2*a*x + b*x^2)","B"
97,1,100,69,0.315880,"\text{Not used}","int(1/(b + 2*a*x - b*x^2)^2,x)","-\frac{\frac{a}{2\,\left(a^2+b^2\right)}-\frac{b\,x}{2\,\left(a^2+b^2\right)}}{-b\,x^2+2\,a\,x+b}+\frac{b\,\mathrm{atan}\left(\frac{a\,b^2\,1{}\mathrm{i}+a^3\,1{}\mathrm{i}-b\,x\,\left(a^2+b^2\right)\,1{}\mathrm{i}}{{\left(a^2+b^2\right)}^{3/2}}\right)\,1{}\mathrm{i}}{2\,{\left(a^2+b^2\right)}^{3/2}}","Not used",1,"(b*atan((a*b^2*1i + a^3*1i - b*x*(a^2 + b^2)*1i)/(a^2 + b^2)^(3/2))*1i)/(2*(a^2 + b^2)^(3/2)) - (a/(2*(a^2 + b^2)) - (b*x)/(2*(a^2 + b^2)))/(b + 2*a*x - b*x^2)","B"
98,1,110,62,0.253257,"\text{Not used}","int(1/((a/b)^(2/n) + x^2 - 2*x*cos((Pi - 2*Pi*k)/n)*(a/b)^(1/n)),x)","-\frac{\mathrm{atanh}\left(\frac{x-\cos\left(\frac{\Pi \,\left(2\,k-1\right)}{n}\right)\,{\left(\frac{a}{b}\right)}^{1/n}}{\sqrt{\cos\left(\frac{\Pi \,\left(2\,k-1\right)}{n}\right)-1}\,\sqrt{\cos\left(\frac{\Pi \,\left(2\,k-1\right)}{n}\right)+1}\,{\left(\frac{a}{b}\right)}^{1/n}}\right)}{\sqrt{\cos\left(\frac{\Pi \,\left(2\,k-1\right)}{n}\right)-1}\,\sqrt{\cos\left(\frac{\Pi \,\left(2\,k-1\right)}{n}\right)+1}\,{\left(\frac{a}{b}\right)}^{1/n}}","Not used",1,"-atanh((x - cos((Pi*(2*k - 1))/n)*(a/b)^(1/n))/((cos((Pi*(2*k - 1))/n) - 1)^(1/2)*(cos((Pi*(2*k - 1))/n) + 1)^(1/2)*(a/b)^(1/n)))/((cos((Pi*(2*k - 1))/n) - 1)^(1/2)*(cos((Pi*(2*k - 1))/n) + 1)^(1/2)*(a/b)^(1/n))","B"
99,1,38,33,0.257976,"\text{Not used}","int(1/(a*b + x*(b^2 - 4*a*b^3)^(1/2) - b^2*x^2),x)","-\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{b^2-4\,a\,b^3}}{\sqrt{b^2}}-\frac{2\,b^2\,x}{\sqrt{b^2}}\right)}{\sqrt{b^2}}","Not used",1,"-(2*atanh((b^2 - 4*a*b^3)^(1/2)/(b^2)^(1/2) - (2*b^2*x)/(b^2)^(1/2)))/(b^2)^(1/2)","B"
100,1,38,31,0.134628,"\text{Not used}","int(-1/(x*(b^2 - 4*a*b^3)^(1/2) - a*b + b^2*x^2),x)","\frac{2\,\mathrm{atanh}\left(\frac{\sqrt{b^2-4\,a\,b^3}}{\sqrt{b^2}}+\frac{2\,b^2\,x}{\sqrt{b^2}}\right)}{\sqrt{b^2}}","Not used",1,"(2*atanh((b^2 - 4*a*b^3)^(1/2)/(b^2)^(1/2) + (2*b^2*x)/(b^2)^(1/2)))/(b^2)^(1/2)","B"
101,1,27,17,0.116803,"\text{Not used}","int(1/(2*x*cos(1/7) + x^2 + 1),x)","\frac{\mathrm{atan}\left(\frac{x+\cos\left(\frac{1}{7}\right)}{\sqrt{1-{\cos\left(\frac{1}{7}\right)}^2}}\right)}{\sqrt{1-{\cos\left(\frac{1}{7}\right)}^2}}","Not used",1,"atan((x + cos(1/7))/(1 - cos(1/7)^2)^(1/2))/(1 - cos(1/7)^2)^(1/2)","B"
102,1,42,23,0.302535,"\text{Not used}","int(1/(x^2 + 2*x*cos(Pi/7) + 1),x)","-\frac{\mathrm{atanh}\left(\frac{x+\cos\left(\frac{\Pi }{7}\right)}{\sqrt{\cos\left(\frac{\Pi }{7}\right)-1}\,\sqrt{\cos\left(\frac{\Pi }{7}\right)+1}}\right)}{\sqrt{\cos\left(\frac{\Pi }{7}\right)-1}\,\sqrt{\cos\left(\frac{\Pi }{7}\right)+1}}","Not used",1,"-atanh((x + cos(Pi/7))/((cos(Pi/7) - 1)^(1/2)*(cos(Pi/7) + 1)^(1/2)))/((cos(Pi/7) - 1)^(1/2)*(cos(Pi/7) + 1)^(1/2))","B"
103,1,39,38,0.080445,"\text{Not used}","int((9*x^2 - 6*x + 5)^(1/2),x)","\frac{2\,\ln\left(3\,x+\sqrt{9\,x^2-6\,x+5}-1\right)}{3}+\left(\frac{x}{2}-\frac{1}{6}\right)\,\sqrt{9\,x^2-6\,x+5}","Not used",1,"(2*log(3*x + (9*x^2 - 6*x + 5)^(1/2) - 1))/3 + (x/2 - 1/6)*(9*x^2 - 6*x + 5)^(1/2)","B"
104,1,23,30,0.051673,"\text{Not used}","int((3 - 4*x^2 - 4*x)^(1/2),x)","\mathrm{asin}\left(x+\frac{1}{2}\right)+\left(\frac{x}{2}+\frac{1}{4}\right)\,\sqrt{-4\,x^2-4\,x+3}","Not used",1,"asin(x + 1/2) + (x/2 + 1/4)*(3 - 4*x^2 - 4*x)^(1/2)","B"
105,1,39,49,0.210327,"\text{Not used}","int((6*x + 9*x^2 - 8)^(1/2),x)","\left(\frac{x}{2}+\frac{1}{6}\right)\,\sqrt{9\,x^2+6\,x-8}-\frac{3\,\ln\left(3\,x+\sqrt{9\,x^2+6\,x-8}+1\right)}{2}","Not used",1,"(x/2 + 1/6)*(6*x + 9*x^2 - 8)^(1/2) - (3*log(3*x + (6*x + 9*x^2 - 8)^(1/2) + 1))/2","B"
106,1,48,45,0.190819,"\text{Not used}","int((4*x + 3*x^2 + 2)^(1/2),x)","\frac{\sqrt{3}\,\ln\left(\sqrt{3\,x^2+4\,x+2}+\frac{\sqrt{3}\,\left(3\,x+2\right)}{3}\right)}{9}+\left(\frac{x}{2}+\frac{1}{3}\right)\,\sqrt{3\,x^2+4\,x+2}","Not used",1,"(3^(1/2)*log((4*x + 3*x^2 + 2)^(1/2) + (3^(1/2)*(3*x + 2))/3))/9 + (x/2 + 1/3)*(4*x + 3*x^2 + 2)^(1/2)","B"
107,1,35,45,0.052382,"\text{Not used}","int((4*x - 3*x^2 + 2)^(1/2),x)","\frac{5\,\sqrt{3}\,\mathrm{asin}\left(\frac{\sqrt{10}\,\left(3\,x-2\right)}{10}\right)}{9}+\left(\frac{x}{2}-\frac{1}{3}\right)\,\sqrt{-3\,x^2+4\,x+2}","Not used",1,"(5*3^(1/2)*asin((10^(1/2)*(3*x - 2))/10))/9 + (x/2 - 1/3)*(4*x - 3*x^2 + 2)^(1/2)","B"
108,1,48,62,0.195170,"\text{Not used}","int((5*x + 3*x^2 + 2)^(1/2),x)","\left(\frac{x}{2}+\frac{5}{12}\right)\,\sqrt{3\,x^2+5\,x+2}-\frac{\sqrt{3}\,\ln\left(\sqrt{3\,x^2+5\,x+2}+\frac{\sqrt{3}\,\left(3\,x+\frac{5}{2}\right)}{3}\right)}{72}","Not used",1,"(x/2 + 5/12)*(5*x + 3*x^2 + 2)^(1/2) - (3^(1/2)*log((5*x + 3*x^2 + 2)^(1/2) + (3^(1/2)*(3*x + 5/2))/3))/72","B"
109,1,30,43,0.150152,"\text{Not used}","int((5*x - 3*x^2 + 2)^(1/2),x)","\frac{49\,\sqrt{3}\,\mathrm{asin}\left(\frac{6\,x}{7}-\frac{5}{7}\right)}{72}+\left(\frac{x}{2}-\frac{5}{12}\right)\,\sqrt{-3\,x^2+5\,x+2}","Not used",1,"(49*3^(1/2)*asin((6*x)/7 - 5/7))/72 + (x/2 - 5/12)*(5*x - 3*x^2 + 2)^(1/2)","B"
110,1,48,59,0.193066,"\text{Not used}","int((4*x + 3*x^2 - 2)^(1/2),x)","\left(\frac{x}{2}+\frac{1}{3}\right)\,\sqrt{3\,x^2+4\,x-2}-\frac{5\,\sqrt{3}\,\ln\left(\sqrt{3\,x^2+4\,x-2}+\frac{\sqrt{3}\,\left(3\,x+2\right)}{3}\right)}{9}","Not used",1,"(x/2 + 1/3)*(4*x + 3*x^2 - 2)^(1/2) - (5*3^(1/2)*log((4*x + 3*x^2 - 2)^(1/2) + (3^(1/2)*(3*x + 2))/3))/9","B"
111,1,36,59,0.053585,"\text{Not used}","int((4*x - 3*x^2 - 2)^(1/2),x)","\frac{\sqrt{3}\,\mathrm{asin}\left(\frac{\sqrt{2}\,\left(3\,x-2\right)\,1{}\mathrm{i}}{2}\right)}{9}+\left(\frac{x}{2}-\frac{1}{3}\right)\,\sqrt{-3\,x^2+4\,x-2}","Not used",1,"(3^(1/2)*asin((2^(1/2)*(3*x - 2)*1i)/2))/9 + (x/2 - 1/3)*(4*x - 3*x^2 - 2)^(1/2)","B"
112,1,48,62,0.221020,"\text{Not used}","int((5*x + 3*x^2 - 2)^(1/2),x)","\left(\frac{x}{2}+\frac{5}{12}\right)\,\sqrt{3\,x^2+5\,x-2}-\frac{49\,\sqrt{3}\,\ln\left(\sqrt{3\,x^2+5\,x-2}+\frac{\sqrt{3}\,\left(3\,x+\frac{5}{2}\right)}{3}\right)}{72}","Not used",1,"(x/2 + 5/12)*(5*x + 3*x^2 - 2)^(1/2) - (49*3^(1/2)*log((5*x + 3*x^2 - 2)^(1/2) + (3^(1/2)*(3*x + 5/2))/3))/72","B"
113,1,30,39,0.052184,"\text{Not used}","int((5*x - 3*x^2 - 2)^(1/2),x)","\frac{\sqrt{3}\,\mathrm{asin}\left(6\,x-5\right)}{72}+\left(\frac{x}{2}-\frac{5}{12}\right)\,\sqrt{-3\,x^2+5\,x-2}","Not used",1,"(3^(1/2)*asin(6*x - 5))/72 + (x/2 - 5/12)*(5*x - 3*x^2 - 2)^(1/2)","B"
114,1,20,14,0.199298,"\text{Not used}","int(1/(9*x^2 - 6*x + 5)^(1/2),x)","\frac{\ln\left(3\,x+\sqrt{9\,x^2-6\,x+5}-1\right)}{3}","Not used",1,"log(3*x + (9*x^2 - 6*x + 5)^(1/2) - 1)/3","B"
115,1,6,10,0.132418,"\text{Not used}","int(1/(3 - 4*x^2 - 4*x)^(1/2),x)","\frac{\mathrm{asin}\left(x+\frac{1}{2}\right)}{2}","Not used",1,"asin(x + 1/2)/2","B"
116,1,20,25,0.218017,"\text{Not used}","int(1/(6*x + 9*x^2 - 8)^(1/2),x)","\frac{\ln\left(3\,x+\sqrt{9\,x^2+6\,x-8}+1\right)}{3}","Not used",1,"log(3*x + (6*x + 9*x^2 - 8)^(1/2) + 1)/3","B"
117,1,26,18,0.224958,"\text{Not used}","int(1/(4*x + 3*x^2 + 2)^(1/2),x)","\frac{\sqrt{3}\,\ln\left(\sqrt{3}\,\left(x+\frac{2}{3}\right)+\sqrt{3\,x^2+4\,x+2}\right)}{3}","Not used",1,"(3^(1/2)*log(3^(1/2)*(x + 2/3) + (4*x + 3*x^2 + 2)^(1/2)))/3","B"
118,1,16,19,0.137096,"\text{Not used}","int(1/(4*x - 3*x^2 + 2)^(1/2),x)","\frac{\sqrt{3}\,\mathrm{asin}\left(\frac{\sqrt{40}\,\left(6\,x-4\right)}{40}\right)}{3}","Not used",1,"(3^(1/2)*asin((40^(1/2)*(6*x - 4))/40))/3","B"
119,1,26,35,0.235749,"\text{Not used}","int(1/(5*x + 3*x^2 + 2)^(1/2),x)","\frac{\sqrt{3}\,\ln\left(\sqrt{3}\,\left(x+\frac{5}{6}\right)+\sqrt{3\,x^2+5\,x+2}\right)}{3}","Not used",1,"(3^(1/2)*log(3^(1/2)*(x + 5/6) + (5*x + 3*x^2 + 2)^(1/2)))/3","B"
120,1,11,17,0.169967,"\text{Not used}","int(1/(5*x - 3*x^2 + 2)^(1/2),x)","\frac{\sqrt{3}\,\mathrm{asin}\left(\frac{6\,x}{7}-\frac{5}{7}\right)}{3}","Not used",1,"(3^(1/2)*asin((6*x)/7 - 5/7))/3","B"
121,1,26,32,0.228141,"\text{Not used}","int(1/(4*x + 3*x^2 - 2)^(1/2),x)","\frac{\sqrt{3}\,\ln\left(\sqrt{3}\,\left(x+\frac{2}{3}\right)+\sqrt{3\,x^2+4\,x-2}\right)}{3}","Not used",1,"(3^(1/2)*log(3^(1/2)*(x + 2/3) + (4*x + 3*x^2 - 2)^(1/2)))/3","B"
122,1,17,33,0.135506,"\text{Not used}","int(1/(4*x - 3*x^2 - 2)^(1/2),x)","-\frac{\sqrt{3}\,\mathrm{asin}\left(\sqrt{2}\,\left(\frac{3\,x}{2}-1\right)\,1{}\mathrm{i}\right)}{3}","Not used",1,"-(3^(1/2)*asin(2^(1/2)*((3*x)/2 - 1)*1i))/3","B"
123,1,26,35,0.226193,"\text{Not used}","int(1/(5*x + 3*x^2 - 2)^(1/2),x)","\frac{\sqrt{3}\,\ln\left(\sqrt{3}\,\left(x+\frac{5}{6}\right)+\sqrt{3\,x^2+5\,x-2}\right)}{3}","Not used",1,"(3^(1/2)*log(3^(1/2)*(x + 5/6) + (5*x + 3*x^2 - 2)^(1/2)))/3","B"
124,1,11,13,0.164412,"\text{Not used}","int(1/(5*x - 3*x^2 - 2)^(1/2),x)","\frac{\sqrt{3}\,\mathrm{asin}\left(6\,x-5\right)}{3}","Not used",1,"(3^(1/2)*asin(6*x - 5))/3","B"
125,1,40,22,0.423163,"\text{Not used}","int(2/((4*c + b^2)/c + 4*b*x + 4*c*x^2)^(1/2),x)","\frac{\ln\left(\frac{b+2\,c\,x}{\sqrt{c}}+\sqrt{\frac{b^2+4\,c}{c}+4\,b\,x+4\,c\,x^2}\right)}{\sqrt{c}}","Not used",1,"log((b + 2*c*x)/c^(1/2) + ((4*c + b^2)/c + 4*b*x + 4*c*x^2)^(1/2))/c^(1/2)","B"
126,1,46,23,0.405672,"\text{Not used}","int(2/(4*b*x + (4*c - b^2)/c - 4*c*x^2)^(1/2),x)","\frac{\ln\left(\frac{b-2\,c\,x}{\sqrt{-c}}+\sqrt{4\,b\,x+\frac{4\,c-b^2}{c}-4\,c\,x^2}\right)}{\sqrt{-c}}","Not used",1,"log((b - 2*c*x)/(-c)^(1/2) + (4*b*x + (4*c - b^2)/c - 4*c*x^2)^(1/2))/(-c)^(1/2)","B"
127,1,44,20,0.400110,"\text{Not used}","int(2/((c - b^2)/c + 4*b*x - 4*c*x^2)^(1/2),x)","\frac{\ln\left(\frac{b-2\,c\,x}{\sqrt{-c}}+\sqrt{\frac{c-b^2}{c}+4\,b\,x-4\,c\,x^2}\right)}{\sqrt{-c}}","Not used",1,"log((b - 2*c*x)/(-c)^(1/2) + ((c - b^2)/c + 4*b*x - 4*c*x^2)^(1/2))/(-c)^(1/2)","B"
128,1,15,19,0.052748,"\text{Not used}","int(1/(3*x + x^2 + 2)^(3/2),x)","-\frac{4\,\left(x+\frac{3}{2}\right)}{\sqrt{x^2+3\,x+2}}","Not used",1,"-(4*(x + 3/2))/(3*x + x^2 + 2)^(1/2)","B"
129,1,17,23,0.056993,"\text{Not used}","int(1/(4*x^2 - 24*x + 27)^(3/2),x)","-\frac{x-3}{9\,\sqrt{4\,x^2-24\,x+27}}","Not used",1,"-(x - 3)/(9*(4*x^2 - 24*x + 27)^(1/2))","B"
130,1,19,23,0.054674,"\text{Not used}","int(x/(5 - x^2 - 4*x)^(3/2),x)","-\frac{2\,x-5}{9\,\sqrt{-x^2-4\,x+5}}","Not used",1,"-(2*x - 5)/(9*(5 - x^2 - 4*x)^(1/2))","B"
131,1,29,43,0.034932,"\text{Not used}","int(1/(5 - x^2 - 4*x)^(5/2),x)","-\frac{\left(4\,x+8\right)\,\left(8\,x^2+32\,x-76\right)}{3888\,{\left(-x^2-4\,x+5\right)}^{3/2}}","Not used",1,"-((4*x + 8)*(32*x + 8*x^2 - 76))/(3888*(5 - x^2 - 4*x)^(3/2))","B"
132,0,-1,122,0.000000,"\text{Not used}","int((a + b*x + c*x^2)^p,x)","\int {\left(c\,x^2+b\,x+a\right)}^p \,d x","Not used",1,"int((a + b*x + c*x^2)^p, x)","F"
133,0,-1,37,0.000000,"\text{Not used}","int((4*x + 5*x^2 + 3)^p,x)","\int {\left(5\,x^2+4\,x+3\right)}^p \,d x","Not used",1,"int((4*x + 5*x^2 + 3)^p, x)","F"
134,0,-1,32,0.000000,"\text{Not used}","int((4*x + 4*x^2 + 3)^p,x)","\int {\left(4\,x^2+4\,x+3\right)}^p \,d x","Not used",1,"int((4*x + 4*x^2 + 3)^p, x)","F"
135,0,-1,37,0.000000,"\text{Not used}","int((4*x + 3*x^2 + 3)^p,x)","\int {\left(3\,x^2+4\,x+3\right)}^p \,d x","Not used",1,"int((4*x + 3*x^2 + 3)^p, x)","F"
136,0,-1,21,0.000000,"\text{Not used}","int((4*x + 2*x^2 + 3)^p,x)","\int {\left(2\,x^2+4\,x+3\right)}^p \,d x","Not used",1,"int((4*x + 2*x^2 + 3)^p, x)","F"
137,0,-1,54,0.000000,"\text{Not used}","int((4*x + x^2 + 3)^p,x)","\int {\left(x^2+4\,x+3\right)}^p \,d x","Not used",1,"int((4*x + x^2 + 3)^p, x)","F"
138,1,32,18,0.389704,"\text{Not used}","int((4*x + 3)^p,x)","\left\{\begin{array}{cl} \frac{\ln\left(4\,x+3\right)}{4} & \text{\ if\ \ }p=-1\\ \frac{{\left(4\,x+3\right)}^{p+1}}{4\,\left(p+1\right)} & \text{\ if\ \ }p\neq -1 \end{array}\right.","Not used",1,"piecewise(p == -1, log(4*x + 3)/4, p ~= -1, (4*x + 3)^(p + 1)/(4*(p + 1)))","B"
139,0,-1,31,0.000000,"\text{Not used}","int((4*x - x^2 + 3)^p,x)","\int {\left(-x^2+4\,x+3\right)}^p \,d x","Not used",1,"int((4*x - x^2 + 3)^p, x)","F"
140,0,-1,31,0.000000,"\text{Not used}","int((4*x - 2*x^2 + 3)^p,x)","\int {\left(-2\,x^2+4\,x+3\right)}^p \,d x","Not used",1,"int((4*x - 2*x^2 + 3)^p, x)","F"
141,0,-1,38,0.000000,"\text{Not used}","int((4*x - 3*x^2 + 3)^p,x)","\int {\left(-3\,x^2+4\,x+3\right)}^p \,d x","Not used",1,"int((4*x - 3*x^2 + 3)^p, x)","F"
142,0,-1,35,0.000000,"\text{Not used}","int((4*x - 4*x^2 + 3)^p,x)","\int {\left(-4\,x^2+4\,x+3\right)}^p \,d x","Not used",1,"int((4*x - 4*x^2 + 3)^p, x)","F"
143,0,-1,38,0.000000,"\text{Not used}","int((4*x - 5*x^2 + 3)^p,x)","\int {\left(-5\,x^2+4\,x+3\right)}^p \,d x","Not used",1,"int((4*x - 5*x^2 + 3)^p, x)","F"