1,1,258,0,0.419102," ","integrate((c*x^2+b*x)^(7/2),x, algorithm=""fricas"")","\left[\frac{105 \, b^{8} \sqrt{c} \log\left(2 \, c x + b + 2 \, \sqrt{c x^{2} + b x} \sqrt{c}\right) + 2 \, {\left(6144 \, c^{8} x^{7} + 21504 \, b c^{7} x^{6} + 25856 \, b^{2} c^{6} x^{5} + 10880 \, b^{3} c^{5} x^{4} + 48 \, b^{4} c^{4} x^{3} - 56 \, b^{5} c^{3} x^{2} + 70 \, b^{6} c^{2} x - 105 \, b^{7} c\right)} \sqrt{c x^{2} + b x}}{98304 \, c^{5}}, -\frac{105 \, b^{8} \sqrt{-c} \arctan\left(\frac{\sqrt{c x^{2} + b x} \sqrt{-c}}{c x}\right) - {\left(6144 \, c^{8} x^{7} + 21504 \, b c^{7} x^{6} + 25856 \, b^{2} c^{6} x^{5} + 10880 \, b^{3} c^{5} x^{4} + 48 \, b^{4} c^{4} x^{3} - 56 \, b^{5} c^{3} x^{2} + 70 \, b^{6} c^{2} x - 105 \, b^{7} c\right)} \sqrt{c x^{2} + b x}}{49152 \, c^{5}}\right]"," ",0,"[1/98304*(105*b^8*sqrt(c)*log(2*c*x + b + 2*sqrt(c*x^2 + b*x)*sqrt(c)) + 2*(6144*c^8*x^7 + 21504*b*c^7*x^6 + 25856*b^2*c^6*x^5 + 10880*b^3*c^5*x^4 + 48*b^4*c^4*x^3 - 56*b^5*c^3*x^2 + 70*b^6*c^2*x - 105*b^7*c)*sqrt(c*x^2 + b*x))/c^5, -1/49152*(105*b^8*sqrt(-c)*arctan(sqrt(c*x^2 + b*x)*sqrt(-c)/(c*x)) - (6144*c^8*x^7 + 21504*b*c^7*x^6 + 25856*b^2*c^6*x^5 + 10880*b^3*c^5*x^4 + 48*b^4*c^4*x^3 - 56*b^5*c^3*x^2 + 70*b^6*c^2*x - 105*b^7*c)*sqrt(c*x^2 + b*x))/c^5]","A",0
2,1,69,0,0.411831," ","integrate((3*I*x+4*x^2)^(7/2),x, algorithm=""fricas"")","\frac{1}{268435456} \, {\left(2147483648 \, x^{7} + 5637144576 i \, x^{6} - 5083496448 \, x^{5} - 1604321280 i \, x^{4} + 5308416 \, x^{3} - 4644864 i \, x^{2} - 4354560 \, x + 4898880 i\right)} \sqrt{4 \, x^{2} + 3 i \, x} - \frac{229635}{16777216} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 3 i \, x} - \frac{3}{4} i\right) - \frac{1165671}{268435456}"," ",0,"1/268435456*(2147483648*x^7 + 5637144576*I*x^6 - 5083496448*x^5 - 1604321280*I*x^4 + 5308416*x^3 - 4644864*I*x^2 - 4354560*x + 4898880*I)*sqrt(4*x^2 + 3*I*x) - 229635/16777216*log(-2*x + sqrt(4*x^2 + 3*I*x) - 3/4*I) - 1165671/268435456","A",0
3,1,59,0,0.417243," ","integrate((3*I*x+4*x^2)^(5/2),x, algorithm=""fricas"")","\frac{1}{3145728} \, {\left(8388608 \, x^{5} + 15728640 i \, x^{4} - 7962624 \, x^{3} - 110592 i \, x^{2} - 103680 \, x + 116640 i\right)} \sqrt{4 \, x^{2} + 3 i \, x} - \frac{3645}{131072} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 3 i \, x} - \frac{3}{4} i\right) - \frac{8991}{1048576}"," ",0,"1/3145728*(8388608*x^5 + 15728640*I*x^4 - 7962624*x^3 - 110592*I*x^2 - 103680*x + 116640*I)*sqrt(4*x^2 + 3*I*x) - 3645/131072*log(-2*x + sqrt(4*x^2 + 3*I*x) - 3/4*I) - 8991/1048576","A",0
4,1,49,0,0.410785," ","integrate((3*I*x+4*x^2)^(3/2),x, algorithm=""fricas"")","\frac{1}{32768} \, {\left(32768 \, x^{3} + 36864 i \, x^{2} - 2304 \, x + 2592 i\right)} \sqrt{4 \, x^{2} + 3 i \, x} - \frac{243}{4096} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 3 i \, x} - \frac{3}{4} i\right) - \frac{567}{32768}"," ",0,"1/32768*(32768*x^3 + 36864*I*x^2 - 2304*x + 2592*I)*sqrt(4*x^2 + 3*I*x) - 243/4096*log(-2*x + sqrt(4*x^2 + 3*I*x) - 3/4*I) - 567/32768","A",0
5,1,39,0,0.407823," ","integrate((3*I*x+4*x^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{256} \, \sqrt{4 \, x^{2} + 3 i \, x} {\left(128 \, x + 48 i\right)} - \frac{9}{64} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 3 i \, x} - \frac{3}{4} i\right) - \frac{9}{256}"," ",0,"1/256*sqrt(4*x^2 + 3*I*x)*(128*x + 48*I) - 9/64*log(-2*x + sqrt(4*x^2 + 3*I*x) - 3/4*I) - 9/256","A",0
6,1,68,0,0.399322," ","integrate((-4*x^2+3*x)^(7/2),x, algorithm=""fricas"")","-\frac{1}{4194304} \, {\left(33554432 \, x^{7} - 88080384 \, x^{6} + 79429632 \, x^{5} - 25067520 \, x^{4} + 82944 \, x^{3} + 72576 \, x^{2} + 68040 \, x + 76545\right)} \sqrt{-4 \, x^{2} + 3 \, x} - \frac{229635}{8388608} \, \arctan\left(\frac{\sqrt{-4 \, x^{2} + 3 \, x}}{2 \, x}\right)"," ",0,"-1/4194304*(33554432*x^7 - 88080384*x^6 + 79429632*x^5 - 25067520*x^4 + 82944*x^3 + 72576*x^2 + 68040*x + 76545)*sqrt(-4*x^2 + 3*x) - 229635/8388608*arctan(1/2*sqrt(-4*x^2 + 3*x)/x)","A",0
7,1,58,0,0.390334," ","integrate((-4*x^2+3*x)^(5/2),x, algorithm=""fricas"")","\frac{1}{98304} \, {\left(262144 \, x^{5} - 491520 \, x^{4} + 248832 \, x^{3} - 3456 \, x^{2} - 3240 \, x - 3645\right)} \sqrt{-4 \, x^{2} + 3 \, x} - \frac{3645}{65536} \, \arctan\left(\frac{\sqrt{-4 \, x^{2} + 3 \, x}}{2 \, x}\right)"," ",0,"1/98304*(262144*x^5 - 491520*x^4 + 248832*x^3 - 3456*x^2 - 3240*x - 3645)*sqrt(-4*x^2 + 3*x) - 3645/65536*arctan(1/2*sqrt(-4*x^2 + 3*x)/x)","A",0
8,1,48,0,0.407059," ","integrate((-4*x^2+3*x)^(3/2),x, algorithm=""fricas"")","-\frac{1}{1024} \, {\left(1024 \, x^{3} - 1152 \, x^{2} + 72 \, x + 81\right)} \sqrt{-4 \, x^{2} + 3 \, x} - \frac{243}{2048} \, \arctan\left(\frac{\sqrt{-4 \, x^{2} + 3 \, x}}{2 \, x}\right)"," ",0,"-1/1024*(1024*x^3 - 1152*x^2 + 72*x + 81)*sqrt(-4*x^2 + 3*x) - 243/2048*arctan(1/2*sqrt(-4*x^2 + 3*x)/x)","A",0
9,1,38,0,0.416684," ","integrate((-4*x^2+3*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{16} \, \sqrt{-4 \, x^{2} + 3 \, x} {\left(8 \, x - 3\right)} - \frac{9}{32} \, \arctan\left(\frac{\sqrt{-4 \, x^{2} + 3 \, x}}{2 \, x}\right)"," ",0,"1/16*sqrt(-4*x^2 + 3*x)*(8*x - 3) - 9/32*arctan(1/2*sqrt(-4*x^2 + 3*x)/x)","A",0
10,1,35,0,0.403427," ","integrate((-x^2+6*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{-x^{2} + 6 \, x} {\left(x - 3\right)} - 9 \, \arctan\left(\frac{\sqrt{-x^{2} + 6 \, x}}{x}\right)"," ",0,"1/2*sqrt(-x^2 + 6*x)*(x - 3) - 9*arctan(sqrt(-x^2 + 6*x)/x)","A",0
11,1,38,0,0.409057," ","integrate((-9*x^2+5*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{36} \, \sqrt{-9 \, x^{2} + 5 \, x} {\left(18 \, x - 5\right)} - \frac{25}{108} \, \arctan\left(\frac{\sqrt{-9 \, x^{2} + 5 \, x}}{3 \, x}\right)"," ",0,"1/36*sqrt(-9*x^2 + 5*x)*(18*x - 5) - 25/108*arctan(1/3*sqrt(-9*x^2 + 5*x)/x)","A",0
12,1,43,0,0.403022," ","integrate((-x^2+x)^(3/2),x, algorithm=""fricas"")","-\frac{1}{64} \, {\left(16 \, x^{3} - 24 \, x^{2} + 2 \, x + 3\right)} \sqrt{-x^{2} + x} - \frac{3}{64} \, \arctan\left(\frac{\sqrt{-x^{2} + x}}{x}\right)"," ",0,"-1/64*(16*x^3 - 24*x^2 + 2*x + 3)*sqrt(-x^2 + x) - 3/64*arctan(sqrt(-x^2 + x)/x)","A",0
13,1,32,0,0.411162," ","integrate((x^2+4*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{x^{2} + 4 \, x} {\left(x + 2\right)} + 2 \, \log\left(-x + \sqrt{x^{2} + 4 \, x} - 2\right)"," ",0,"1/2*sqrt(x^2 + 4*x)*(x + 2) + 2*log(-x + sqrt(x^2 + 4*x) - 2)","A",0
14,1,32,0,0.380112," ","integrate((x^2-8*x)^(1/2),x, algorithm=""fricas"")","\frac{1}{2} \, \sqrt{x^{2} - 8 \, x} {\left(x - 4\right)} + 8 \, \log\left(-x + \sqrt{x^{2} - 8 \, x} + 4\right)"," ",0,"1/2*sqrt(x^2 - 8*x)*(x - 4) + 8*log(-x + sqrt(x^2 - 8*x) + 4)","A",0
15,1,36,0,0.397601," ","integrate((x^2-x)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{x^{2} - x} {\left(2 \, x - 1\right)} + \frac{1}{8} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} - x} + 1\right)"," ",0,"1/4*sqrt(x^2 - x)*(2*x - 1) + 1/8*log(-2*x + 2*sqrt(x^2 - x) + 1)","A",0
16,1,105,0,0.390472," ","integrate(1/(c*x^2+b*x)^(7/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(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}\right)} \sqrt{c x^{2} + b x}}{15 \, {\left(b^{6} c^{3} x^{6} + 3 \, b^{7} c^{2} x^{5} + 3 \, b^{8} c x^{4} + b^{9} x^{3}\right)}}"," ",0,"-2/15*(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)*sqrt(c*x^2 + b*x)/(b^6*c^3*x^6 + 3*b^7*c^2*x^5 + 3*b^8*c*x^4 + b^9*x^3)","A",0
17,1,19,0,0.413120," ","integrate(1/(3*I*x+4*x^2)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \log\left(-2 \, x + \sqrt{4 \, x^{2} + 3 i \, x} - \frac{3}{4} i\right)"," ",0,"-1/2*log(-2*x + sqrt(4*x^2 + 3*I*x) - 3/4*I)","B",0
18,1,39,0,0.417517," ","integrate(1/(3*I*x+4*x^2)^(3/2),x, algorithm=""fricas"")","\frac{32 \, x^{2} + \sqrt{4 \, x^{2} + 3 i \, x} {\left(16 \, x + 6 i\right)} + 24 i \, x}{9 \, {\left(4 \, x^{2} + 3 i \, x\right)}}"," ",0,"1/9*(32*x^2 + sqrt(4*x^2 + 3*I*x)*(16*x + 6*I) + 24*I*x)/(4*x^2 + 3*I*x)","B",0
19,1,62,0,0.410410," ","integrate(1/(3*I*x+4*x^2)^(5/2),x, algorithm=""fricas"")","\frac{4096 \, x^{4} + 6144 i \, x^{3} - 2304 \, x^{2} + {\left(2048 \, x^{3} + 2304 i \, x^{2} - 432 \, x + 54 i\right)} \sqrt{4 \, x^{2} + 3 i \, x}}{3888 \, x^{4} + 5832 i \, x^{3} - 2187 \, x^{2}}"," ",0,"(4096*x^4 + 6144*I*x^3 - 2304*x^2 + (2048*x^3 + 2304*I*x^2 - 432*x + 54*I)*sqrt(4*x^2 + 3*I*x))/(3888*x^4 + 5832*I*x^3 - 2187*x^2)","A",0
20,1,82,0,0.414917," ","integrate(1/(3*I*x+4*x^2)^(7/2),x, algorithm=""fricas"")","\frac{1048576 \, x^{6} + 2359296 i \, x^{5} - 1769472 \, x^{4} - 442368 i \, x^{3} + {\left(524288 \, x^{5} + 983040 i \, x^{4} - 552960 \, x^{3} - 69120 i \, x^{2} - 6480 \, x + 1458 i\right)} \sqrt{4 \, x^{2} + 3 i \, x}}{699840 \, x^{6} + 1574640 i \, x^{5} - 1180980 \, x^{4} - 295245 i \, x^{3}}"," ",0,"(1048576*x^6 + 2359296*I*x^5 - 1769472*x^4 - 442368*I*x^3 + (524288*x^5 + 983040*I*x^4 - 552960*x^3 - 69120*I*x^2 - 6480*x + 1458*I)*sqrt(4*x^2 + 3*I*x))/(699840*x^6 + 1574640*I*x^5 - 1180980*x^4 - 295245*I*x^3)","A",0
21,1,19,0,0.392662," ","integrate(1/(-4*x^2+3*x)^(1/2),x, algorithm=""fricas"")","-\arctan\left(\frac{\sqrt{-4 \, x^{2} + 3 \, x}}{2 \, x}\right)"," ",0,"-arctan(1/2*sqrt(-4*x^2 + 3*x)/x)","B",0
22,1,29,0,0.387595," ","integrate(1/(-4*x^2+3*x)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, \sqrt{-4 \, x^{2} + 3 \, x} {\left(8 \, x - 3\right)}}{9 \, {\left(4 \, x^{2} - 3 \, x\right)}}"," ",0,"-2/9*sqrt(-4*x^2 + 3*x)*(8*x - 3)/(4*x^2 - 3*x)","A",0
23,1,46,0,0.406475," ","integrate(1/(-4*x^2+3*x)^(5/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(1024 \, x^{3} - 1152 \, x^{2} + 216 \, x + 27\right)} \sqrt{-4 \, x^{2} + 3 \, x}}{243 \, {\left(16 \, x^{4} - 24 \, x^{3} + 9 \, x^{2}\right)}}"," ",0,"-2/243*(1024*x^3 - 1152*x^2 + 216*x + 27)*sqrt(-4*x^2 + 3*x)/(16*x^4 - 24*x^3 + 9*x^2)","A",0
24,1,61,0,0.395518," ","integrate(1/(-4*x^2+3*x)^(7/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(262144 \, x^{5} - 491520 \, x^{4} + 276480 \, x^{3} - 34560 \, x^{2} - 3240 \, x - 729\right)} \sqrt{-4 \, x^{2} + 3 \, x}}{10935 \, {\left(64 \, x^{6} - 144 \, x^{5} + 108 \, x^{4} - 27 \, x^{3}\right)}}"," ",0,"-2/10935*(262144*x^5 - 491520*x^4 + 276480*x^3 - 34560*x^2 - 3240*x - 729)*sqrt(-4*x^2 + 3*x)/(64*x^6 - 144*x^5 + 108*x^4 - 27*x^3)","A",0
25,1,27,0,0.407066," ","integrate(1/(-b^2*x^2+b*x)^(1/2),x, algorithm=""fricas"")","-\frac{2 \, \arctan\left(\frac{\sqrt{-b^{2} x^{2} + b x}}{b x}\right)}{b}"," ",0,"-2*arctan(sqrt(-b^2*x^2 + b*x)/(b*x))/b","B",0
26,1,27,0,0.383071," ","integrate(1/(b^2*x^2+b*x)^(1/2),x, algorithm=""fricas"")","-\frac{\log\left(-2 \, b x + 2 \, \sqrt{b^{2} x^{2} + b x} - 1\right)}{b}"," ",0,"-log(-2*b*x + 2*sqrt(b^2*x^2 + b*x) - 1)/b","A",0
27,1,18,0,0.415535," ","integrate(1/(-x^2+6*x)^(1/2),x, algorithm=""fricas"")","-2 \, \arctan\left(\frac{\sqrt{-x^{2} + 6 \, x}}{x}\right)"," ",0,"-2*arctan(sqrt(-x^2 + 6*x)/x)","B",0
28,1,17,0,0.395422," ","integrate(1/(x^2+4*x)^(1/2),x, algorithm=""fricas"")","-\log\left(-x + \sqrt{x^{2} + 4 \, x} - 2\right)"," ",0,"-log(-x + sqrt(x^2 + 4*x) - 2)","A",0
29,1,17,0,0.385468," ","integrate(1/(x^2-2*x)^(1/2),x, algorithm=""fricas"")","-\log\left(-x + \sqrt{x^{2} - 2 \, x} + 1\right)"," ",0,"-log(-x + sqrt(x^2 - 2*x) + 1)","A",0
30,0,0,0,0.404546," ","integrate((c*x^2+b*x)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(c x^{2} + b x\right)}^{\frac{4}{3}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(4/3), x)","F",0
31,0,0,0,0.398670," ","integrate((c*x^2+b*x)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(c x^{2} + b x\right)}^{\frac{1}{3}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(1/3), x)","F",0
32,0,0,0,0.422020," ","integrate(1/(c*x^2+b*x)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(c x^{2} + b x\right)}^{\frac{2}{3}}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(-2/3), x)","F",0
33,0,0,0,0.396940," ","integrate(1/(c*x^2+b*x)^(5/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c x^{2} + b x\right)}^{\frac{1}{3}}}{c^{2} x^{4} + 2 \, b c x^{3} + b^{2} x^{2}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(1/3)/(c^2*x^4 + 2*b*c*x^3 + b^2*x^2), x)","F",0
34,0,0,0,0.406400," ","integrate(1/(c*x^2+b*x)^(8/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c x^{2} + b x\right)}^{\frac{1}{3}}}{c^{3} x^{6} + 3 \, b c^{2} x^{5} + 3 \, b^{2} c x^{4} + b^{3} x^{3}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(1/3)/(c^3*x^6 + 3*b*c^2*x^5 + 3*b^2*c*x^4 + b^3*x^3), x)","F",0
35,0,0,0,0.426622," ","integrate((c*x^2+b*x)^(5/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(c x^{2} + b x\right)}^{\frac{5}{3}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(5/3), x)","F",0
36,0,0,0,0.420995," ","integrate((c*x^2+b*x)^(2/3),x, algorithm=""fricas"")","{\rm integral}\left({\left(c x^{2} + b x\right)}^{\frac{2}{3}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(2/3), x)","F",0
37,0,0,0,0.423939," ","integrate(1/(c*x^2+b*x)^(1/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(c x^{2} + b x\right)}^{\frac{1}{3}}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(-1/3), x)","F",0
38,0,0,0,0.413817," ","integrate(1/(c*x^2+b*x)^(4/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c x^{2} + b x\right)}^{\frac{2}{3}}}{c^{2} x^{4} + 2 \, b c x^{3} + b^{2} x^{2}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(2/3)/(c^2*x^4 + 2*b*c*x^3 + b^2*x^2), x)","F",0
39,0,0,0,0.423663," ","integrate(1/(c*x^2+b*x)^(7/3),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c x^{2} + b x\right)}^{\frac{2}{3}}}{c^{3} x^{6} + 3 \, b c^{2} x^{5} + 3 \, b^{2} c x^{4} + b^{3} x^{3}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(2/3)/(c^3*x^6 + 3*b*c^2*x^5 + 3*b^2*c*x^4 + b^3*x^3), x)","F",0
40,0,0,0,0.423619," ","integrate((c*x^2+b*x)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(c x^{2} + b x\right)}^{\frac{5}{4}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(5/4), x)","F",0
41,0,0,0,0.431911," ","integrate((c*x^2+b*x)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(c x^{2} + b x\right)}^{\frac{3}{4}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(3/4), x)","F",0
42,0,0,0,0.433935," ","integrate((c*x^2+b*x)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left({\left(c x^{2} + b x\right)}^{\frac{1}{4}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(1/4), x)","F",0
43,0,0,0,0.429775," ","integrate(1/(c*x^2+b*x)^(1/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(c x^{2} + b x\right)}^{\frac{1}{4}}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(-1/4), x)","F",0
44,0,0,0,0.425940," ","integrate(1/(c*x^2+b*x)^(3/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{1}{{\left(c x^{2} + b x\right)}^{\frac{3}{4}}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(-3/4), x)","F",0
45,0,0,0,0.428192," ","integrate(1/(c*x^2+b*x)^(5/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c x^{2} + b x\right)}^{\frac{3}{4}}}{c^{2} x^{4} + 2 \, b c x^{3} + b^{2} x^{2}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(3/4)/(c^2*x^4 + 2*b*c*x^3 + b^2*x^2), x)","F",0
46,0,0,0,0.422460," ","integrate(1/(c*x^2+b*x)^(9/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c x^{2} + b x\right)}^{\frac{3}{4}}}{c^{3} x^{6} + 3 \, b c^{2} x^{5} + 3 \, b^{2} c x^{4} + b^{3} x^{3}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(3/4)/(c^3*x^6 + 3*b*c^2*x^5 + 3*b^2*c*x^4 + b^3*x^3), x)","F",0
47,0,0,0,0.412068," ","integrate(1/(c*x^2+b*x)^(13/4),x, algorithm=""fricas"")","{\rm integral}\left(\frac{{\left(c x^{2} + b x\right)}^{\frac{3}{4}}}{c^{4} x^{8} + 4 \, b c^{3} x^{7} + 6 \, b^{2} c^{2} x^{6} + 4 \, b^{3} c x^{5} + b^{4} x^{4}}, x\right)"," ",0,"integral((c*x^2 + b*x)^(3/4)/(c^4*x^8 + 4*b*c^3*x^7 + 6*b^2*c^2*x^6 + 4*b^3*c*x^5 + b^4*x^4), x)","F",0
48,0,0,0,0.427233," ","integrate((c*x^2+b*x)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(c x^{2} + b x\right)}^{p}, x\right)"," ",0,"integral((c*x^2 + b*x)^p, x)","F",0
49,1,43,0,0.351640," ","integrate((c*x^2+a)^4,x, algorithm=""fricas"")","\frac{1}{9} x^{9} c^{4} + \frac{4}{7} x^{7} c^{3} a + \frac{6}{5} x^{5} c^{2} a^{2} + \frac{4}{3} x^{3} c a^{3} + x a^{4}"," ",0,"1/9*x^9*c^4 + 4/7*x^7*c^3*a + 6/5*x^5*c^2*a^2 + 4/3*x^3*c*a^3 + x*a^4","A",0
50,1,31,0,0.351804," ","integrate((c*x^2+a)^3,x, algorithm=""fricas"")","\frac{1}{7} x^{7} c^{3} + \frac{3}{5} x^{5} c^{2} a + x^{3} c a^{2} + x a^{3}"," ",0,"1/7*x^7*c^3 + 3/5*x^5*c^2*a + x^3*c*a^2 + x*a^3","A",0
51,1,21,0,0.353070," ","integrate((c*x^2+a)^2,x, algorithm=""fricas"")","\frac{1}{5} x^{5} c^{2} + \frac{2}{3} x^{3} c a + x a^{2}"," ",0,"1/5*x^5*c^2 + 2/3*x^3*c*a + x*a^2","A",0
52,1,10,0,0.359181," ","integrate(c*x^2+a,x, algorithm=""fricas"")","\frac{1}{3} x^{3} c + x a"," ",0,"1/3*x^3*c + x*a","A",0
53,1,67,0,0.406337," ","integrate(1/(c*x^2+a),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-a c} \log\left(\frac{c x^{2} - 2 \, \sqrt{-a c} x - a}{c x^{2} + a}\right)}{2 \, a c}, \frac{\sqrt{a c} \arctan\left(\frac{\sqrt{a c} x}{a}\right)}{a c}\right]"," ",0,"[-1/2*sqrt(-a*c)*log((c*x^2 - 2*sqrt(-a*c)*x - a)/(c*x^2 + a))/(a*c), sqrt(a*c)*arctan(sqrt(a*c)*x/a)/(a*c)]","A",0
54,1,120,0,0.416459," ","integrate(1/(c*x^2+a)^2,x, algorithm=""fricas"")","\left[\frac{2 \, a c x - {\left(c x^{2} + a\right)} \sqrt{-a c} \log\left(\frac{c x^{2} - 2 \, \sqrt{-a c} x - a}{c x^{2} + a}\right)}{4 \, {\left(a^{2} c^{2} x^{2} + a^{3} c\right)}}, \frac{a c x + {\left(c x^{2} + a\right)} \sqrt{a c} \arctan\left(\frac{\sqrt{a c} x}{a}\right)}{2 \, {\left(a^{2} c^{2} x^{2} + a^{3} c\right)}}\right]"," ",0,"[1/4*(2*a*c*x - (c*x^2 + a)*sqrt(-a*c)*log((c*x^2 - 2*sqrt(-a*c)*x - a)/(c*x^2 + a)))/(a^2*c^2*x^2 + a^3*c), 1/2*(a*c*x + (c*x^2 + a)*sqrt(a*c)*arctan(sqrt(a*c)*x/a))/(a^2*c^2*x^2 + a^3*c)]","A",0
55,1,188,0,0.393452," ","integrate(1/(c*x^2+a)^3,x, algorithm=""fricas"")","\left[\frac{6 \, a c^{2} x^{3} + 10 \, a^{2} c x - 3 \, {\left(c^{2} x^{4} + 2 \, a c x^{2} + a^{2}\right)} \sqrt{-a c} \log\left(\frac{c x^{2} - 2 \, \sqrt{-a c} x - a}{c x^{2} + a}\right)}{16 \, {\left(a^{3} c^{3} x^{4} + 2 \, a^{4} c^{2} x^{2} + a^{5} c\right)}}, \frac{3 \, a c^{2} x^{3} + 5 \, a^{2} c x + 3 \, {\left(c^{2} x^{4} + 2 \, a c x^{2} + a^{2}\right)} \sqrt{a c} \arctan\left(\frac{\sqrt{a c} x}{a}\right)}{8 \, {\left(a^{3} c^{3} x^{4} + 2 \, a^{4} c^{2} x^{2} + a^{5} c\right)}}\right]"," ",0,"[1/16*(6*a*c^2*x^3 + 10*a^2*c*x - 3*(c^2*x^4 + 2*a*c*x^2 + a^2)*sqrt(-a*c)*log((c*x^2 - 2*sqrt(-a*c)*x - a)/(c*x^2 + a)))/(a^3*c^3*x^4 + 2*a^4*c^2*x^2 + a^5*c), 1/8*(3*a*c^2*x^3 + 5*a^2*c*x + 3*(c^2*x^4 + 2*a*c*x^2 + a^2)*sqrt(a*c)*arctan(sqrt(a*c)*x/a))/(a^3*c^3*x^4 + 2*a^4*c^2*x^2 + a^5*c)]","A",0
56,1,146,0,0.431734," ","integrate((c*x^2+a)^(5/2),x, algorithm=""fricas"")","\left[\frac{15 \, a^{3} \sqrt{c} \log\left(-2 \, c x^{2} - 2 \, \sqrt{c x^{2} + a} \sqrt{c} x - a\right) + 2 \, {\left(8 \, c^{3} x^{5} + 26 \, a c^{2} x^{3} + 33 \, a^{2} c x\right)} \sqrt{c x^{2} + a}}{96 \, c}, -\frac{15 \, a^{3} \sqrt{-c} \arctan\left(\frac{\sqrt{-c} x}{\sqrt{c x^{2} + a}}\right) - {\left(8 \, c^{3} x^{5} + 26 \, a c^{2} x^{3} + 33 \, a^{2} c x\right)} \sqrt{c x^{2} + a}}{48 \, c}\right]"," ",0,"[1/96*(15*a^3*sqrt(c)*log(-2*c*x^2 - 2*sqrt(c*x^2 + a)*sqrt(c)*x - a) + 2*(8*c^3*x^5 + 26*a*c^2*x^3 + 33*a^2*c*x)*sqrt(c*x^2 + a))/c, -1/48*(15*a^3*sqrt(-c)*arctan(sqrt(-c)*x/sqrt(c*x^2 + a)) - (8*c^3*x^5 + 26*a*c^2*x^3 + 33*a^2*c*x)*sqrt(c*x^2 + a))/c]","A",0
57,1,124,0,0.409471," ","integrate((c*x^2+a)^(3/2),x, algorithm=""fricas"")","\left[\frac{3 \, a^{2} \sqrt{c} \log\left(-2 \, c x^{2} - 2 \, \sqrt{c x^{2} + a} \sqrt{c} x - a\right) + 2 \, {\left(2 \, c^{2} x^{3} + 5 \, a c x\right)} \sqrt{c x^{2} + a}}{16 \, c}, -\frac{3 \, a^{2} \sqrt{-c} \arctan\left(\frac{\sqrt{-c} x}{\sqrt{c x^{2} + a}}\right) - {\left(2 \, c^{2} x^{3} + 5 \, a c x\right)} \sqrt{c x^{2} + a}}{8 \, c}\right]"," ",0,"[1/16*(3*a^2*sqrt(c)*log(-2*c*x^2 - 2*sqrt(c*x^2 + a)*sqrt(c)*x - a) + 2*(2*c^2*x^3 + 5*a*c*x)*sqrt(c*x^2 + a))/c, -1/8*(3*a^2*sqrt(-c)*arctan(sqrt(-c)*x/sqrt(c*x^2 + a)) - (2*c^2*x^3 + 5*a*c*x)*sqrt(c*x^2 + a))/c]","A",0
58,1,94,0,0.423995," ","integrate((c*x^2+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{2 \, \sqrt{c x^{2} + a} c x + a \sqrt{c} \log\left(-2 \, c x^{2} - 2 \, \sqrt{c x^{2} + a} \sqrt{c} x - a\right)}{4 \, c}, \frac{\sqrt{c x^{2} + a} c x - a \sqrt{-c} \arctan\left(\frac{\sqrt{-c} x}{\sqrt{c x^{2} + a}}\right)}{2 \, c}\right]"," ",0,"[1/4*(2*sqrt(c*x^2 + a)*c*x + a*sqrt(c)*log(-2*c*x^2 - 2*sqrt(c*x^2 + a)*sqrt(c)*x - a))/c, 1/2*(sqrt(c*x^2 + a)*c*x - a*sqrt(-c)*arctan(sqrt(-c)*x/sqrt(c*x^2 + a)))/c]","A",0
59,1,59,0,0.408297," ","integrate(1/(c*x^2+a)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-2 \, c x^{2} - 2 \, \sqrt{c x^{2} + a} \sqrt{c} x - a\right)}{2 \, \sqrt{c}}, -\frac{\sqrt{-c} \arctan\left(\frac{\sqrt{-c} x}{\sqrt{c x^{2} + a}}\right)}{c}\right]"," ",0,"[1/2*log(-2*c*x^2 - 2*sqrt(c*x^2 + a)*sqrt(c)*x - a)/sqrt(c), -sqrt(-c)*arctan(sqrt(-c)*x/sqrt(c*x^2 + a))/c]","A",0
60,1,23,0,0.400321," ","integrate(1/(c*x^2+a)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{c x^{2} + a} x}{a c x^{2} + a^{2}}"," ",0,"sqrt(c*x^2 + a)*x/(a*c*x^2 + a^2)","A",0
61,1,47,0,0.385815," ","integrate(1/(c*x^2+a)^(5/2),x, algorithm=""fricas"")","\frac{{\left(2 \, c x^{3} + 3 \, a x\right)} \sqrt{c x^{2} + a}}{3 \, {\left(a^{2} c^{2} x^{4} + 2 \, a^{3} c x^{2} + a^{4}\right)}}"," ",0,"1/3*(2*c*x^3 + 3*a*x)*sqrt(c*x^2 + a)/(a^2*c^2*x^4 + 2*a^3*c*x^2 + a^4)","A",0
62,1,69,0,0.402081," ","integrate(1/(c*x^2+a)^(7/2),x, algorithm=""fricas"")","\frac{{\left(8 \, c^{2} x^{5} + 20 \, a c x^{3} + 15 \, a^{2} x\right)} \sqrt{c x^{2} + a}}{15 \, {\left(a^{3} c^{3} x^{6} + 3 \, a^{4} c^{2} x^{4} + 3 \, a^{5} c x^{2} + a^{6}\right)}}"," ",0,"1/15*(8*c^2*x^5 + 20*a*c*x^3 + 15*a^2*x)*sqrt(c*x^2 + a)/(a^3*c^3*x^6 + 3*a^4*c^2*x^4 + 3*a^5*c*x^2 + a^6)","A",0
63,1,91,0,0.412824," ","integrate(1/(c*x^2+a)^(9/2),x, algorithm=""fricas"")","\frac{{\left(16 \, c^{3} x^{7} + 56 \, a c^{2} x^{5} + 70 \, a^{2} c x^{3} + 35 \, a^{3} x\right)} \sqrt{c x^{2} + a}}{35 \, {\left(a^{4} c^{4} x^{8} + 4 \, a^{5} c^{3} x^{6} + 6 \, a^{6} c^{2} x^{4} + 4 \, a^{7} c x^{2} + a^{8}\right)}}"," ",0,"1/35*(16*c^3*x^7 + 56*a*c^2*x^5 + 70*a^2*c*x^3 + 35*a^3*x)*sqrt(c*x^2 + a)/(a^4*c^4*x^8 + 4*a^5*c^3*x^6 + 6*a^6*c^2*x^4 + 4*a^7*c*x^2 + a^8)","A",0
64,1,19,0,0.388860," ","integrate((9*x^2+12*x+4)^(3/2),x, algorithm=""fricas"")","\frac{27}{4} \, x^{4} + 18 \, x^{3} + 18 \, x^{2} + 8 \, x"," ",0,"27/4*x^4 + 18*x^3 + 18*x^2 + 8*x","A",0
65,1,9,0,0.369015," ","integrate((9*x^2+12*x+4)^(1/2),x, algorithm=""fricas"")","\frac{3}{2} \, x^{2} + 2 \, x"," ",0,"3/2*x^2 + 2*x","A",0
66,1,8,0,0.387205," ","integrate(1/(9*x^2+12*x+4)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(3 \, x + 2\right)"," ",0,"1/3*log(3*x + 2)","A",0
67,1,14,0,0.390165," ","integrate(1/(9*x^2+12*x+4)^(3/2),x, algorithm=""fricas"")","-\frac{1}{6 \, {\left(9 \, x^{2} + 12 \, x + 4\right)}}"," ",0,"-1/6/(9*x^2 + 12*x + 4)","A",0
68,1,9,0,0.382123," ","integrate(((-2+3*x)^2)^(1/2),x, algorithm=""fricas"")","\frac{3}{2} \, x^{2} - 2 \, x"," ",0,"3/2*x^2 - 2*x","A",0
69,1,8,0,0.385062," ","integrate(1/((-2+3*x)^2)^(1/2),x, algorithm=""fricas"")","\frac{1}{3} \, \log\left(3 \, x - 2\right)"," ",0,"1/3*log(3*x - 2)","A",0
70,1,9,0,0.382988," ","integrate((-(-2+3*x)^2)^(1/2),x, algorithm=""fricas"")","\frac{3}{2} i \, x^{2} - 2 i \, x"," ",0,"3/2*I*x^2 - 2*I*x","C",0
71,1,6,0,0.384780," ","integrate(1/(-(-2+3*x)^2)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} i \, \log\left(x - \frac{2}{3}\right)"," ",0,"-1/3*I*log(x - 2/3)","C",0
72,1,9,0,0.399225," ","integrate((-(2+3*x)^2)^(1/2),x, algorithm=""fricas"")","\frac{3}{2} i \, x^{2} + 2 i \, x"," ",0,"3/2*I*x^2 + 2*I*x","C",0
73,1,6,0,0.379361," ","integrate(1/(-(2+3*x)^2)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} i \, \log\left(x + \frac{2}{3}\right)"," ",0,"-1/3*I*log(x + 2/3)","C",0
74,1,233,0,0.382104," ","integrate((1/4*(b^2-1)/c+b*x+c*x^2)^5,x, algorithm=""fricas"")","\frac{64512 \, c^{10} x^{11} + 354816 \, b c^{9} x^{10} + 98560 \, {\left(9 \, b^{2} - 1\right)} c^{8} x^{9} + 443520 \, {\left(3 \, b^{3} - b\right)} c^{7} x^{8} + 63360 \, {\left(21 \, b^{4} - 14 \, b^{2} + 1\right)} c^{6} x^{7} + 14784 \, {\left(63 \, b^{5} - 70 \, b^{3} + 15 \, b\right)} c^{5} x^{6} + 22176 \, {\left(21 \, b^{6} - 35 \, b^{4} + 15 \, b^{2} - 1\right)} c^{4} x^{5} + 55440 \, {\left(3 \, b^{7} - 7 \, b^{5} + 5 \, b^{3} - b\right)} c^{3} x^{4} + 4620 \, {\left(9 \, b^{8} - 28 \, b^{6} + 30 \, b^{4} - 12 \, b^{2} + 1\right)} c^{2} x^{3} + 6930 \, {\left(b^{9} - 4 \, b^{7} + 6 \, b^{5} - 4 \, b^{3} + b\right)} c x^{2} + 693 \, {\left(b^{10} - 5 \, b^{8} + 10 \, b^{6} - 10 \, b^{4} + 5 \, b^{2} - 1\right)} x}{709632 \, c^{5}}"," ",0,"1/709632*(64512*c^10*x^11 + 354816*b*c^9*x^10 + 98560*(9*b^2 - 1)*c^8*x^9 + 443520*(3*b^3 - b)*c^7*x^8 + 63360*(21*b^4 - 14*b^2 + 1)*c^6*x^7 + 14784*(63*b^5 - 70*b^3 + 15*b)*c^5*x^6 + 22176*(21*b^6 - 35*b^4 + 15*b^2 - 1)*c^4*x^5 + 55440*(3*b^7 - 7*b^5 + 5*b^3 - b)*c^3*x^4 + 4620*(9*b^8 - 28*b^6 + 30*b^4 - 12*b^2 + 1)*c^2*x^3 + 6930*(b^9 - 4*b^7 + 6*b^5 - 4*b^3 + b)*c*x^2 + 693*(b^10 - 5*b^8 + 10*b^6 - 10*b^4 + 5*b^2 - 1)*x)/c^5","B",0
75,1,235,0,0.394636," ","integrate((1/4*(b^2-4)/c+b*x+c*x^2)^5,x, algorithm=""fricas"")","\frac{64512 \, c^{10} x^{11} + 354816 \, b c^{9} x^{10} + 98560 \, {\left(9 \, b^{2} - 4\right)} c^{8} x^{9} + 443520 \, {\left(3 \, b^{3} - 4 \, b\right)} c^{7} x^{8} + 63360 \, {\left(21 \, b^{4} - 56 \, b^{2} + 16\right)} c^{6} x^{7} + 14784 \, {\left(63 \, b^{5} - 280 \, b^{3} + 240 \, b\right)} c^{5} x^{6} + 22176 \, {\left(21 \, b^{6} - 140 \, b^{4} + 240 \, b^{2} - 64\right)} c^{4} x^{5} + 55440 \, {\left(3 \, b^{7} - 28 \, b^{5} + 80 \, b^{3} - 64 \, b\right)} c^{3} x^{4} + 4620 \, {\left(9 \, b^{8} - 112 \, b^{6} + 480 \, b^{4} - 768 \, b^{2} + 256\right)} c^{2} x^{3} + 6930 \, {\left(b^{9} - 16 \, b^{7} + 96 \, b^{5} - 256 \, b^{3} + 256 \, b\right)} c x^{2} + 693 \, {\left(b^{10} - 20 \, b^{8} + 160 \, b^{6} - 640 \, b^{4} + 1280 \, b^{2} - 1024\right)} x}{709632 \, c^{5}}"," ",0,"1/709632*(64512*c^10*x^11 + 354816*b*c^9*x^10 + 98560*(9*b^2 - 4)*c^8*x^9 + 443520*(3*b^3 - 4*b)*c^7*x^8 + 63360*(21*b^4 - 56*b^2 + 16)*c^6*x^7 + 14784*(63*b^5 - 280*b^3 + 240*b)*c^5*x^6 + 22176*(21*b^6 - 140*b^4 + 240*b^2 - 64)*c^4*x^5 + 55440*(3*b^7 - 28*b^5 + 80*b^3 - 64*b)*c^3*x^4 + 4620*(9*b^8 - 112*b^6 + 480*b^4 - 768*b^2 + 256)*c^2*x^3 + 6930*(b^9 - 16*b^7 + 96*b^5 - 256*b^3 + 256*b)*c*x^2 + 693*(b^10 - 20*b^8 + 160*b^6 - 640*b^4 + 1280*b^2 - 1024)*x)/c^5","B",0
76,1,227,0,0.392222," ","integrate((1/4*(b^2-9)/c+b*x+c*x^2)^5,x, algorithm=""fricas"")","\frac{7168 \, c^{10} x^{11} + 39424 \, b c^{9} x^{10} + 98560 \, {\left(b^{2} - 1\right)} c^{8} x^{9} + 147840 \, {\left(b^{3} - 3 \, b\right)} c^{7} x^{8} + 21120 \, {\left(7 \, b^{4} - 42 \, b^{2} + 27\right)} c^{6} x^{7} + 14784 \, {\left(7 \, b^{5} - 70 \, b^{3} + 135 \, b\right)} c^{5} x^{6} + 7392 \, {\left(7 \, b^{6} - 105 \, b^{4} + 405 \, b^{2} - 243\right)} c^{4} x^{5} + 18480 \, {\left(b^{7} - 21 \, b^{5} + 135 \, b^{3} - 243 \, b\right)} c^{3} x^{4} + 4620 \, {\left(b^{8} - 28 \, b^{6} + 270 \, b^{4} - 972 \, b^{2} + 729\right)} c^{2} x^{3} + 770 \, {\left(b^{9} - 36 \, b^{7} + 486 \, b^{5} - 2916 \, b^{3} + 6561 \, b\right)} c x^{2} + 77 \, {\left(b^{10} - 45 \, b^{8} + 810 \, b^{6} - 7290 \, b^{4} + 32805 \, b^{2} - 59049\right)} x}{78848 \, c^{5}}"," ",0,"1/78848*(7168*c^10*x^11 + 39424*b*c^9*x^10 + 98560*(b^2 - 1)*c^8*x^9 + 147840*(b^3 - 3*b)*c^7*x^8 + 21120*(7*b^4 - 42*b^2 + 27)*c^6*x^7 + 14784*(7*b^5 - 70*b^3 + 135*b)*c^5*x^6 + 7392*(7*b^6 - 105*b^4 + 405*b^2 - 243)*c^4*x^5 + 18480*(b^7 - 21*b^5 + 135*b^3 - 243*b)*c^3*x^4 + 4620*(b^8 - 28*b^6 + 270*b^4 - 972*b^2 + 729)*c^2*x^3 + 770*(b^9 - 36*b^7 + 486*b^5 - 2916*b^3 + 6561*b)*c*x^2 + 77*(b^10 - 45*b^8 + 810*b^6 - 7290*b^4 + 32805*b^2 - 59049)*x)/c^5","B",0
77,1,235,0,0.393660," ","integrate((1/4*(b^2-16)/c+b*x+c*x^2)^5,x, algorithm=""fricas"")","\frac{64512 \, c^{10} x^{11} + 354816 \, b c^{9} x^{10} + 98560 \, {\left(9 \, b^{2} - 16\right)} c^{8} x^{9} + 443520 \, {\left(3 \, b^{3} - 16 \, b\right)} c^{7} x^{8} + 63360 \, {\left(21 \, b^{4} - 224 \, b^{2} + 256\right)} c^{6} x^{7} + 14784 \, {\left(63 \, b^{5} - 1120 \, b^{3} + 3840 \, b\right)} c^{5} x^{6} + 22176 \, {\left(21 \, b^{6} - 560 \, b^{4} + 3840 \, b^{2} - 4096\right)} c^{4} x^{5} + 55440 \, {\left(3 \, b^{7} - 112 \, b^{5} + 1280 \, b^{3} - 4096 \, b\right)} c^{3} x^{4} + 4620 \, {\left(9 \, b^{8} - 448 \, b^{6} + 7680 \, b^{4} - 49152 \, b^{2} + 65536\right)} c^{2} x^{3} + 6930 \, {\left(b^{9} - 64 \, b^{7} + 1536 \, b^{5} - 16384 \, b^{3} + 65536 \, b\right)} c x^{2} + 693 \, {\left(b^{10} - 80 \, b^{8} + 2560 \, b^{6} - 40960 \, b^{4} + 327680 \, b^{2} - 1048576\right)} x}{709632 \, c^{5}}"," ",0,"1/709632*(64512*c^10*x^11 + 354816*b*c^9*x^10 + 98560*(9*b^2 - 16)*c^8*x^9 + 443520*(3*b^3 - 16*b)*c^7*x^8 + 63360*(21*b^4 - 224*b^2 + 256)*c^6*x^7 + 14784*(63*b^5 - 1120*b^3 + 3840*b)*c^5*x^6 + 22176*(21*b^6 - 560*b^4 + 3840*b^2 - 4096)*c^4*x^5 + 55440*(3*b^7 - 112*b^5 + 1280*b^3 - 4096*b)*c^3*x^4 + 4620*(9*b^8 - 448*b^6 + 7680*b^4 - 49152*b^2 + 65536)*c^2*x^3 + 6930*(b^9 - 64*b^7 + 1536*b^5 - 16384*b^3 + 65536*b)*c*x^2 + 693*(b^10 - 80*b^8 + 2560*b^6 - 40960*b^4 + 327680*b^2 - 1048576)*x)/c^5","B",0
78,1,16,0,0.388661," ","integrate(1/(3*x^2+4*x+2),x, algorithm=""fricas"")","\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
79,1,8,0,0.402581," ","integrate(1/(4+x^2-2*x*3^(1/2)),x, algorithm=""fricas"")","\arctan\left(x - \sqrt{3}\right)"," ",0,"arctan(x - sqrt(3))","A",0
80,1,39,0,0.375110," ","integrate(1/(-3*x^2+4*x+2),x, algorithm=""fricas"")","\frac{1}{20} \, \sqrt{10} \log\left(\frac{9 \, x^{2} + 2 \, \sqrt{10} {\left(3 \, x - 2\right)} - 12 \, x + 14}{3 \, x^{2} - 4 \, x - 2}\right)"," ",0,"1/20*sqrt(10)*log((9*x^2 + 2*sqrt(10)*(3*x - 2) - 12*x + 14)/(3*x^2 - 4*x - 2))","B",0
81,1,13,0,0.390920," ","integrate(1/(3*x^2+5*x+2),x, algorithm=""fricas"")","\log\left(3 \, x + 2\right) - \log\left(x + 1\right)"," ",0,"log(3*x + 2) - log(x + 1)","A",0
82,1,15,0,0.398606," ","integrate(1/(-3*x^2+5*x+2),x, algorithm=""fricas"")","\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
83,1,13,0,0.395915," ","integrate(1/(x^2+4*x+3),x, algorithm=""fricas"")","-\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
84,1,50,0,0.422630," ","integrate(1/(pi*x+2*x^2+1),x, algorithm=""fricas"")","\frac{\log\left(\frac{\pi^{2} + 4 \, \pi x + 8 \, x^{2} - {\left(\pi + 4 \, x\right)} \sqrt{\pi^{2} - 8} - 4}{\pi x + 2 \, x^{2} + 1}\right)}{\sqrt{\pi^{2} - 8}}"," ",0,"log((pi^2 + 4*pi*x + 8*x^2 - (pi + 4*x)*sqrt(pi^2 - 8) - 4)/(pi*x + 2*x^2 + 1))/sqrt(pi^2 - 8)","B",0
85,1,51,0,0.417884," ","integrate(1/(pi*x-2*x^2+1),x, algorithm=""fricas"")","\frac{\log\left(-\frac{\pi^{2} - 4 \, \pi x + 8 \, x^{2} - {\left(\pi - 4 \, x\right)} \sqrt{\pi^{2} + 8} + 4}{\pi x - 2 \, x^{2} + 1}\right)}{\sqrt{\pi^{2} + 8}}"," ",0,"log(-(pi^2 - 4*pi*x + 8*x^2 - (pi - 4*x)*sqrt(pi^2 + 8) + 4)/(pi*x - 2*x^2 + 1))/sqrt(pi^2 + 8)","B",0
86,1,41,0,0.411487," ","integrate(1/(pi*x+3*x^2+1),x, algorithm=""fricas"")","\frac{2 \, \sqrt{-\pi^{2} + 12} \arctan\left(\frac{{\left(\pi + 6 \, x\right)} \sqrt{-\pi^{2} + 12}}{\pi^{2} - 12}\right)}{\pi^{2} - 12}"," ",0,"2*sqrt(-pi^2 + 12)*arctan((pi + 6*x)*sqrt(-pi^2 + 12)/(pi^2 - 12))/(pi^2 - 12)","A",0
87,1,51,0,0.398623," ","integrate(1/(pi*x-3*x^2+1),x, algorithm=""fricas"")","\frac{\log\left(-\frac{\pi^{2} - 6 \, \pi x + 18 \, x^{2} - {\left(\pi - 6 \, x\right)} \sqrt{\pi^{2} + 12} + 6}{\pi x - 3 \, x^{2} + 1}\right)}{\sqrt{\pi^{2} + 12}}"," ",0,"log(-(pi^2 - 6*pi*x + 18*x^2 - (pi - 6*x)*sqrt(pi^2 + 12) + 6)/(pi*x - 3*x^2 + 1))/sqrt(pi^2 + 12)","B",0
88,1,113,0,0.403621," ","integrate(1/(b*x^2+c*x+a),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-4 \, a b + c^{2}} \log\left(\frac{2 \, b^{2} x^{2} + 2 \, b c x - 2 \, a b + c^{2} - \sqrt{-4 \, a b + c^{2}} {\left(2 \, b x + c\right)}}{b x^{2} + c x + a}\right)}{4 \, a b - c^{2}}, -\frac{2 \, \arctan\left(-\frac{2 \, b x + c}{\sqrt{4 \, a b - c^{2}}}\right)}{\sqrt{4 \, a b - c^{2}}}\right]"," ",0,"[-sqrt(-4*a*b + c^2)*log((2*b^2*x^2 + 2*b*c*x - 2*a*b + c^2 - sqrt(-4*a*b + c^2)*(2*b*x + c))/(b*x^2 + c*x + a))/(4*a*b - c^2), -2*arctan(-(2*b*x + c)/sqrt(4*a*b - c^2))/sqrt(4*a*b - c^2)]","A",0
89,1,124,0,0.406901," ","integrate(1/(b*x^2+2*a*x+b),x, algorithm=""fricas"")","\left[\frac{\log\left(\frac{b^{2} x^{2} + 2 \, a b x + 2 \, a^{2} - b^{2} - 2 \, \sqrt{a^{2} - b^{2}} {\left(b x + a\right)}}{b x^{2} + 2 \, a x + b}\right)}{2 \, \sqrt{a^{2} - b^{2}}}, -\frac{\sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b x + a\right)}}{a^{2} - b^{2}}\right)}{a^{2} - b^{2}}\right]"," ",0,"[1/2*log((b^2*x^2 + 2*a*b*x + 2*a^2 - b^2 - 2*sqrt(a^2 - b^2)*(b*x + a))/(b*x^2 + 2*a*x + b))/sqrt(a^2 - b^2), -sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*x + a)/(a^2 - b^2))/(a^2 - b^2)]","A",0
90,1,67,0,0.392135," ","integrate(1/(-b*x^2+2*a*x+b),x, algorithm=""fricas"")","\frac{\log\left(\frac{b^{2} x^{2} - 2 \, a b x + 2 \, a^{2} + b^{2} + 2 \, \sqrt{a^{2} + b^{2}} {\left(b x - a\right)}}{b x^{2} - 2 \, a x - b}\right)}{2 \, \sqrt{a^{2} + b^{2}}}"," ",0,"1/2*log((b^2*x^2 - 2*a*b*x + 2*a^2 + b^2 + 2*sqrt(a^2 + b^2)*(b*x - a))/(b*x^2 - 2*a*x - b))/sqrt(a^2 + b^2)","B",0
91,1,45,0,0.390845," ","integrate(1/(3*x^2+4*x+2)^2,x, algorithm=""fricas"")","\frac{3 \, \sqrt{2} {\left(3 \, x^{2} + 4 \, x + 2\right)} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(3 \, x + 2\right)}\right) + 6 \, x + 4}{8 \, {\left(3 \, x^{2} + 4 \, x + 2\right)}}"," ",0,"1/8*(3*sqrt(2)*(3*x^2 + 4*x + 2)*arctan(1/2*sqrt(2)*(3*x + 2)) + 6*x + 4)/(3*x^2 + 4*x + 2)","A",0
92,1,68,0,0.393168," ","integrate(1/(-3*x^2+4*x+2)^2,x, algorithm=""fricas"")","\frac{3 \, \sqrt{10} {\left(3 \, x^{2} - 4 \, x - 2\right)} \log\left(\frac{9 \, x^{2} + 2 \, \sqrt{10} {\left(3 \, x - 2\right)} - 12 \, x + 14}{3 \, x^{2} - 4 \, x - 2}\right) - 60 \, x + 40}{400 \, {\left(3 \, x^{2} - 4 \, x - 2\right)}}"," ",0,"1/400*(3*sqrt(10)*(3*x^2 - 4*x - 2)*log((9*x^2 + 2*sqrt(10)*(3*x - 2) - 12*x + 14)/(3*x^2 - 4*x - 2)) - 60*x + 40)/(3*x^2 - 4*x - 2)","A",0
93,1,53,0,0.383374," ","integrate(1/(3*x^2+5*x+2)^2,x, algorithm=""fricas"")","-\frac{6 \, {\left(3 \, x^{2} + 5 \, x + 2\right)} \log\left(3 \, x + 2\right) - 6 \, {\left(3 \, x^{2} + 5 \, x + 2\right)} \log\left(x + 1\right) + 6 \, x + 5}{3 \, x^{2} + 5 \, x + 2}"," ",0,"-(6*(3*x^2 + 5*x + 2)*log(3*x + 2) - 6*(3*x^2 + 5*x + 2)*log(x + 1) + 6*x + 5)/(3*x^2 + 5*x + 2)","A",0
94,1,53,0,0.382490," ","integrate(1/(-3*x^2+5*x+2)^2,x, algorithm=""fricas"")","\frac{6 \, {\left(3 \, x^{2} - 5 \, x - 2\right)} \log\left(3 \, x + 1\right) - 6 \, {\left(3 \, x^{2} - 5 \, x - 2\right)} \log\left(x - 2\right) - 42 \, x + 35}{343 \, {\left(3 \, x^{2} - 5 \, x - 2\right)}}"," ",0,"1/343*(6*(3*x^2 - 5*x - 2)*log(3*x + 1) - 6*(3*x^2 - 5*x - 2)*log(x - 2) - 42*x + 35)/(3*x^2 - 5*x - 2)","A",0
95,1,334,0,0.403188," ","integrate(1/(b*x^2+c*x+a)^2,x, algorithm=""fricas"")","\left[\frac{4 \, a b c - c^{3} + 2 \, {\left(b^{2} x^{2} + b c x + a b\right)} \sqrt{-4 \, a b + c^{2}} \log\left(\frac{2 \, b^{2} x^{2} + 2 \, b c x - 2 \, a b + c^{2} + \sqrt{-4 \, a b + c^{2}} {\left(2 \, b x + c\right)}}{b x^{2} + c x + a}\right) + 2 \, {\left(4 \, a b^{2} - b c^{2}\right)} x}{16 \, a^{3} b^{2} - 8 \, a^{2} b c^{2} + a c^{4} + {\left(16 \, a^{2} b^{3} - 8 \, a b^{2} c^{2} + b c^{4}\right)} x^{2} + {\left(16 \, a^{2} b^{2} c - 8 \, a b c^{3} + c^{5}\right)} x}, \frac{4 \, a b c - c^{3} - 4 \, {\left(b^{2} x^{2} + b c x + a b\right)} \sqrt{4 \, a b - c^{2}} \arctan\left(-\frac{2 \, b x + c}{\sqrt{4 \, a b - c^{2}}}\right) + 2 \, {\left(4 \, a b^{2} - b c^{2}\right)} x}{16 \, a^{3} b^{2} - 8 \, a^{2} b c^{2} + a c^{4} + {\left(16 \, a^{2} b^{3} - 8 \, a b^{2} c^{2} + b c^{4}\right)} x^{2} + {\left(16 \, a^{2} b^{2} c - 8 \, a b c^{3} + c^{5}\right)} x}\right]"," ",0,"[(4*a*b*c - c^3 + 2*(b^2*x^2 + b*c*x + a*b)*sqrt(-4*a*b + c^2)*log((2*b^2*x^2 + 2*b*c*x - 2*a*b + c^2 + sqrt(-4*a*b + c^2)*(2*b*x + c))/(b*x^2 + c*x + a)) + 2*(4*a*b^2 - b*c^2)*x)/(16*a^3*b^2 - 8*a^2*b*c^2 + a*c^4 + (16*a^2*b^3 - 8*a*b^2*c^2 + b*c^4)*x^2 + (16*a^2*b^2*c - 8*a*b*c^3 + c^5)*x), (4*a*b*c - c^3 - 4*(b^2*x^2 + b*c*x + a*b)*sqrt(4*a*b - c^2)*arctan(-(2*b*x + c)/sqrt(4*a*b - c^2)) + 2*(4*a*b^2 - b*c^2)*x)/(16*a^3*b^2 - 8*a^2*b*c^2 + a*c^4 + (16*a^2*b^3 - 8*a*b^2*c^2 + b*c^4)*x^2 + (16*a^2*b^2*c - 8*a*b*c^3 + c^5)*x)]","B",0
96,1,317,0,0.423443," ","integrate(1/(b*x^2+2*a*x+b)^2,x, algorithm=""fricas"")","\left[-\frac{2 \, a^{3} - 2 \, a b^{2} + {\left(b^{2} x^{2} + 2 \, a b x + b^{2}\right)} \sqrt{a^{2} - b^{2}} \log\left(\frac{b^{2} x^{2} + 2 \, a b x + 2 \, a^{2} - b^{2} - 2 \, \sqrt{a^{2} - b^{2}} {\left(b x + a\right)}}{b x^{2} + 2 \, a x + b}\right) + 2 \, {\left(a^{2} b - b^{3}\right)} x}{4 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} + {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} x^{2} + 2 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} x\right)}}, -\frac{a^{3} - a b^{2} - {\left(b^{2} x^{2} + 2 \, a b x + b^{2}\right)} \sqrt{-a^{2} + b^{2}} \arctan\left(-\frac{\sqrt{-a^{2} + b^{2}} {\left(b x + a\right)}}{a^{2} - b^{2}}\right) + {\left(a^{2} b - b^{3}\right)} x}{2 \, {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5} + {\left(a^{4} b - 2 \, a^{2} b^{3} + b^{5}\right)} x^{2} + 2 \, {\left(a^{5} - 2 \, a^{3} b^{2} + a b^{4}\right)} x\right)}}\right]"," ",0,"[-1/4*(2*a^3 - 2*a*b^2 + (b^2*x^2 + 2*a*b*x + b^2)*sqrt(a^2 - b^2)*log((b^2*x^2 + 2*a*b*x + 2*a^2 - b^2 - 2*sqrt(a^2 - b^2)*(b*x + a))/(b*x^2 + 2*a*x + b)) + 2*(a^2*b - b^3)*x)/(a^4*b - 2*a^2*b^3 + b^5 + (a^4*b - 2*a^2*b^3 + b^5)*x^2 + 2*(a^5 - 2*a^3*b^2 + a*b^4)*x), -1/2*(a^3 - a*b^2 - (b^2*x^2 + 2*a*b*x + b^2)*sqrt(-a^2 + b^2)*arctan(-sqrt(-a^2 + b^2)*(b*x + a)/(a^2 - b^2)) + (a^2*b - b^3)*x)/(a^4*b - 2*a^2*b^3 + b^5 + (a^4*b - 2*a^2*b^3 + b^5)*x^2 + 2*(a^5 - 2*a^3*b^2 + a*b^4)*x)]","B",0
97,1,171,0,0.405030," ","integrate(1/(-b*x^2+2*a*x+b)^2,x, algorithm=""fricas"")","-\frac{2 \, a^{3} + 2 \, a b^{2} + {\left(b^{2} x^{2} - 2 \, a b x - b^{2}\right)} \sqrt{a^{2} + b^{2}} \log\left(\frac{b^{2} x^{2} - 2 \, a b x + 2 \, a^{2} + b^{2} + 2 \, \sqrt{a^{2} + b^{2}} {\left(b x - a\right)}}{b x^{2} - 2 \, a x - b}\right) - 2 \, {\left(a^{2} b + b^{3}\right)} x}{4 \, {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5} - {\left(a^{4} b + 2 \, a^{2} b^{3} + b^{5}\right)} x^{2} + 2 \, {\left(a^{5} + 2 \, a^{3} b^{2} + a b^{4}\right)} x\right)}}"," ",0,"-1/4*(2*a^3 + 2*a*b^2 + (b^2*x^2 - 2*a*b*x - b^2)*sqrt(a^2 + b^2)*log((b^2*x^2 - 2*a*b*x + 2*a^2 + b^2 + 2*sqrt(a^2 + b^2)*(b*x - a))/(b*x^2 - 2*a*x - b)) - 2*(a^2*b + b^3)*x)/(a^4*b + 2*a^2*b^3 + b^5 - (a^4*b + 2*a^2*b^3 + b^5)*x^2 + 2*(a^5 + 2*a^3*b^2 + a*b^4)*x)","B",0
98,1,89,0,0.417658," ","integrate(1/((a/b)^(2/n)+x^2-2*(a/b)^(1/n)*x*cos((-2*pi*k+pi)/n)),x, algorithm=""fricas"")","-\frac{\arctan\left(\frac{\left(\frac{a}{b}\right)^{\left(\frac{1}{n}\right)} \cos\left(\frac{2 \, \pi k}{n} - \frac{\pi}{n}\right) - x}{\left(\frac{a}{b}\right)^{\left(\frac{1}{n}\right)} \sin\left(\frac{2 \, \pi k}{n} - \frac{\pi}{n}\right)}\right)}{\left(\frac{a}{b}\right)^{\left(\frac{1}{n}\right)} \sin\left(\frac{2 \, \pi k}{n} - \frac{\pi}{n}\right)}"," ",0,"-arctan(((a/b)^(1/n)*cos(2*pi*k/n - pi/n) - x)/((a/b)^(1/n)*sin(2*pi*k/n - pi/n)))/((a/b)^(1/n)*sin(2*pi*k/n - pi/n))","A",0
99,1,63,0,0.413774," ","integrate(1/(a*b-b^2*x^2+x*(-4*a*b^3+b^2)^(1/2)),x, algorithm=""fricas"")","\frac{\log\left(\frac{2 \, b^{2} x + b - \sqrt{-4 \, a b^{3} + b^{2}}}{b}\right) - \log\left(\frac{2 \, b^{2} x - b - \sqrt{-4 \, a b^{3} + b^{2}}}{b}\right)}{b}"," ",0,"(log((2*b^2*x + b - sqrt(-4*a*b^3 + b^2))/b) - log((2*b^2*x - b - sqrt(-4*a*b^3 + b^2))/b))/b","B",0
100,1,59,0,0.420977," ","integrate(1/(a*b-b^2*x^2-x*(-4*a*b^3+b^2)^(1/2)),x, algorithm=""fricas"")","\frac{\log\left(\frac{2 \, b^{2} x + b + \sqrt{-4 \, a b^{3} + b^{2}}}{b}\right) - \log\left(\frac{2 \, b^{2} x - b + \sqrt{-4 \, a b^{3} + b^{2}}}{b}\right)}{b}"," ",0,"(log((2*b^2*x + b + sqrt(-4*a*b^3 + b^2))/b) - log((2*b^2*x - b + sqrt(-4*a*b^3 + b^2))/b))/b","B",0
101,1,15,0,0.418116," ","integrate(1/(1+x^2+2*x*cos(1/7)),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{x + \cos\left(\frac{1}{7}\right)}{\sin\left(\frac{1}{7}\right)}\right)}{\sin\left(\frac{1}{7}\right)}"," ",0,"arctan((x + cos(1/7))/sin(1/7))/sin(1/7)","A",0
102,1,21,0,0.405520," ","integrate(1/(1+x^2+2*x*cos(1/7*pi)),x, algorithm=""fricas"")","\frac{\arctan\left(\frac{x + \cos\left(\frac{1}{7} \, \pi\right)}{\sin\left(\frac{1}{7} \, \pi\right)}\right)}{\sin\left(\frac{1}{7} \, \pi\right)}"," ",0,"arctan((x + cos(1/7*pi))/sin(1/7*pi))/sin(1/7*pi)","A",0
103,1,40,0,0.383189," ","integrate((9*x^2-6*x+5)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{9 \, x^{2} - 6 \, x + 5} {\left(3 \, x - 1\right)} - \frac{2}{3} \, \log\left(-3 \, x + \sqrt{9 \, x^{2} - 6 \, x + 5} + 1\right)"," ",0,"1/6*sqrt(9*x^2 - 6*x + 5)*(3*x - 1) - 2/3*log(-3*x + sqrt(9*x^2 - 6*x + 5) + 1)","A",0
104,1,53,0,0.413044," ","integrate((-4*x^2-4*x+3)^(1/2),x, algorithm=""fricas"")","\frac{1}{4} \, \sqrt{-4 \, x^{2} - 4 \, x + 3} {\left(2 \, x + 1\right)} - \arctan\left(\frac{\sqrt{-4 \, x^{2} - 4 \, x + 3} {\left(2 \, x + 1\right)}}{4 \, x^{2} + 4 \, x - 3}\right)"," ",0,"1/4*sqrt(-4*x^2 - 4*x + 3)*(2*x + 1) - arctan(sqrt(-4*x^2 - 4*x + 3)*(2*x + 1)/(4*x^2 + 4*x - 3))","B",0
105,1,40,0,0.382394," ","integrate((9*x^2+6*x-8)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{9 \, x^{2} + 6 \, x - 8} {\left(3 \, x + 1\right)} + \frac{3}{2} \, \log\left(-3 \, x + \sqrt{9 \, x^{2} + 6 \, x - 8} - 1\right)"," ",0,"1/6*sqrt(9*x^2 + 6*x - 8)*(3*x + 1) + 3/2*log(-3*x + sqrt(9*x^2 + 6*x - 8) - 1)","A",0
106,1,58,0,0.404843," ","integrate((3*x^2+4*x+2)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3 \, x^{2} + 4 \, x + 2} {\left(3 \, x + 2\right)} + \frac{1}{18} \, \sqrt{3} \log\left(-\sqrt{3} \sqrt{3 \, x^{2} + 4 \, x + 2} {\left(3 \, x + 2\right)} - 9 \, x^{2} - 12 \, x - 5\right)"," ",0,"1/6*sqrt(3*x^2 + 4*x + 2)*(3*x + 2) + 1/18*sqrt(3)*log(-sqrt(3)*sqrt(3*x^2 + 4*x + 2)*(3*x + 2) - 9*x^2 - 12*x - 5)","A",0
107,1,60,0,0.391666," ","integrate((-3*x^2+4*x+2)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{-3 \, x^{2} + 4 \, x + 2} {\left(3 \, x - 2\right)} - \frac{5}{9} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \sqrt{-3 \, x^{2} + 4 \, x + 2} {\left(3 \, x - 2\right)}}{3 \, {\left(3 \, x^{2} - 4 \, x - 2\right)}}\right)"," ",0,"1/6*sqrt(-3*x^2 + 4*x + 2)*(3*x - 2) - 5/9*sqrt(3)*arctan(1/3*sqrt(3)*sqrt(-3*x^2 + 4*x + 2)*(3*x - 2)/(3*x^2 - 4*x - 2))","A",0
108,1,58,0,0.401594," ","integrate((3*x^2+5*x+2)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{3 \, x^{2} + 5 \, x + 2} {\left(6 \, x + 5\right)} + \frac{1}{144} \, \sqrt{3} \log\left(-4 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} {\left(6 \, x + 5\right)} + 72 \, x^{2} + 120 \, x + 49\right)"," ",0,"1/12*sqrt(3*x^2 + 5*x + 2)*(6*x + 5) + 1/144*sqrt(3)*log(-4*sqrt(3)*sqrt(3*x^2 + 5*x + 2)*(6*x + 5) + 72*x^2 + 120*x + 49)","A",0
109,1,60,0,0.408329," ","integrate((-3*x^2+5*x+2)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{-3 \, x^{2} + 5 \, x + 2} {\left(6 \, x - 5\right)} - \frac{49}{72} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \sqrt{-3 \, x^{2} + 5 \, x + 2} {\left(6 \, x - 5\right)}}{6 \, {\left(3 \, x^{2} - 5 \, x - 2\right)}}\right)"," ",0,"1/12*sqrt(-3*x^2 + 5*x + 2)*(6*x - 5) - 49/72*sqrt(3)*arctan(1/6*sqrt(3)*sqrt(-3*x^2 + 5*x + 2)*(6*x - 5)/(3*x^2 - 5*x - 2))","A",0
110,1,58,0,0.394327," ","integrate((3*x^2+4*x-2)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3 \, x^{2} + 4 \, x - 2} {\left(3 \, x + 2\right)} + \frac{5}{18} \, \sqrt{3} \log\left(-\sqrt{3} \sqrt{3 \, x^{2} + 4 \, x - 2} {\left(3 \, x + 2\right)} + 9 \, x^{2} + 12 \, x - 1\right)"," ",0,"1/6*sqrt(3*x^2 + 4*x - 2)*(3*x + 2) + 5/18*sqrt(3)*log(-sqrt(3)*sqrt(3*x^2 + 4*x - 2)*(3*x + 2) + 9*x^2 + 12*x - 1)","A",0
111,1,84,0,0.403750," ","integrate((-3*x^2+4*x-2)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{-3 \, x^{2} + 4 \, x - 2} {\left(3 \, x - 2\right)} + \frac{1}{18} i \, \sqrt{3} \log\left(\frac{2 i \, \sqrt{3} \sqrt{-3 \, x^{2} + 4 \, x - 2} - 6 \, x + 4}{x}\right) - \frac{1}{18} i \, \sqrt{3} \log\left(\frac{-2 i \, \sqrt{3} \sqrt{-3 \, x^{2} + 4 \, x - 2} - 6 \, x + 4}{x}\right)"," ",0,"1/6*sqrt(-3*x^2 + 4*x - 2)*(3*x - 2) + 1/18*I*sqrt(3)*log((2*I*sqrt(3)*sqrt(-3*x^2 + 4*x - 2) - 6*x + 4)/x) - 1/18*I*sqrt(3)*log((-2*I*sqrt(3)*sqrt(-3*x^2 + 4*x - 2) - 6*x + 4)/x)","C",0
112,1,58,0,0.404812," ","integrate((3*x^2+5*x-2)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{3 \, x^{2} + 5 \, x - 2} {\left(6 \, x + 5\right)} + \frac{49}{144} \, \sqrt{3} \log\left(-4 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x - 2} {\left(6 \, x + 5\right)} + 72 \, x^{2} + 120 \, x + 1\right)"," ",0,"1/12*sqrt(3*x^2 + 5*x - 2)*(6*x + 5) + 49/144*sqrt(3)*log(-4*sqrt(3)*sqrt(3*x^2 + 5*x - 2)*(6*x + 5) + 72*x^2 + 120*x + 1)","A",0
113,1,60,0,0.408871," ","integrate((-3*x^2+5*x-2)^(1/2),x, algorithm=""fricas"")","\frac{1}{12} \, \sqrt{-3 \, x^{2} + 5 \, x - 2} {\left(6 \, x - 5\right)} - \frac{1}{72} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \sqrt{-3 \, x^{2} + 5 \, x - 2} {\left(6 \, x - 5\right)}}{6 \, {\left(3 \, x^{2} - 5 \, x + 2\right)}}\right)"," ",0,"1/12*sqrt(-3*x^2 + 5*x - 2)*(6*x - 5) - 1/72*sqrt(3)*arctan(1/6*sqrt(3)*sqrt(-3*x^2 + 5*x - 2)*(6*x - 5)/(3*x^2 - 5*x + 2))","A",0
114,1,20,0,0.402794," ","integrate(1/(9*x^2-6*x+5)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \log\left(-3 \, x + \sqrt{9 \, x^{2} - 6 \, x + 5} + 1\right)"," ",0,"-1/3*log(-3*x + sqrt(9*x^2 - 6*x + 5) + 1)","B",0
115,1,33,0,0.404983," ","integrate(1/(-4*x^2-4*x+3)^(1/2),x, algorithm=""fricas"")","-\frac{1}{2} \, \arctan\left(\frac{\sqrt{-4 \, x^{2} - 4 \, x + 3} {\left(2 \, x + 1\right)}}{4 \, x^{2} + 4 \, x - 3}\right)"," ",0,"-1/2*arctan(sqrt(-4*x^2 - 4*x + 3)*(2*x + 1)/(4*x^2 + 4*x - 3))","B",0
116,1,20,0,0.408197," ","integrate(1/(9*x^2+6*x-8)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \log\left(-3 \, x + \sqrt{9 \, x^{2} + 6 \, x - 8} - 1\right)"," ",0,"-1/3*log(-3*x + sqrt(9*x^2 + 6*x - 8) - 1)","A",0
117,1,38,0,0.409801," ","integrate(1/(3*x^2+4*x+2)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left(-\sqrt{3} \sqrt{3 \, x^{2} + 4 \, x + 2} {\left(3 \, x + 2\right)} - 9 \, x^{2} - 12 \, x - 5\right)"," ",0,"1/6*sqrt(3)*log(-sqrt(3)*sqrt(3*x^2 + 4*x + 2)*(3*x + 2) - 9*x^2 - 12*x - 5)","B",0
118,1,40,0,0.403516," ","integrate(1/(-3*x^2+4*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \sqrt{-3 \, x^{2} + 4 \, x + 2} {\left(3 \, x - 2\right)}}{3 \, {\left(3 \, x^{2} - 4 \, x - 2\right)}}\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*sqrt(-3*x^2 + 4*x + 2)*(3*x - 2)/(3*x^2 - 4*x - 2))","B",0
119,1,38,0,0.416755," ","integrate(1/(3*x^2+5*x+2)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left(4 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x + 2} {\left(6 \, x + 5\right)} + 72 \, x^{2} + 120 \, x + 49\right)"," ",0,"1/6*sqrt(3)*log(4*sqrt(3)*sqrt(3*x^2 + 5*x + 2)*(6*x + 5) + 72*x^2 + 120*x + 49)","A",0
120,1,40,0,0.406719," ","integrate(1/(-3*x^2+5*x+2)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \sqrt{-3 \, x^{2} + 5 \, x + 2} {\left(6 \, x - 5\right)}}{6 \, {\left(3 \, x^{2} - 5 \, x - 2\right)}}\right)"," ",0,"-1/3*sqrt(3)*arctan(1/6*sqrt(3)*sqrt(-3*x^2 + 5*x + 2)*(6*x - 5)/(3*x^2 - 5*x - 2))","B",0
121,1,37,0,0.410017," ","integrate(1/(3*x^2+4*x-2)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left(\sqrt{3} \sqrt{3 \, x^{2} + 4 \, x - 2} {\left(3 \, x + 2\right)} + 9 \, x^{2} + 12 \, x - 1\right)"," ",0,"1/6*sqrt(3)*log(sqrt(3)*sqrt(3*x^2 + 4*x - 2)*(3*x + 2) + 9*x^2 + 12*x - 1)","A",0
122,1,65,0,0.413085," ","integrate(1/(-3*x^2+4*x-2)^(1/2),x, algorithm=""fricas"")","-\frac{1}{6} i \, \sqrt{3} \log\left(\frac{2 i \, \sqrt{3} \sqrt{-3 \, x^{2} + 4 \, x - 2} - 6 \, x + 4}{x}\right) + \frac{1}{6} i \, \sqrt{3} \log\left(\frac{-2 i \, \sqrt{3} \sqrt{-3 \, x^{2} + 4 \, x - 2} - 6 \, x + 4}{x}\right)"," ",0,"-1/6*I*sqrt(3)*log((2*I*sqrt(3)*sqrt(-3*x^2 + 4*x - 2) - 6*x + 4)/x) + 1/6*I*sqrt(3)*log((-2*I*sqrt(3)*sqrt(-3*x^2 + 4*x - 2) - 6*x + 4)/x)","C",0
123,1,38,0,0.404598," ","integrate(1/(3*x^2+5*x-2)^(1/2),x, algorithm=""fricas"")","\frac{1}{6} \, \sqrt{3} \log\left(4 \, \sqrt{3} \sqrt{3 \, x^{2} + 5 \, x - 2} {\left(6 \, x + 5\right)} + 72 \, x^{2} + 120 \, x + 1\right)"," ",0,"1/6*sqrt(3)*log(4*sqrt(3)*sqrt(3*x^2 + 5*x - 2)*(6*x + 5) + 72*x^2 + 120*x + 1)","A",0
124,1,40,0,0.413666," ","integrate(1/(-3*x^2+5*x-2)^(1/2),x, algorithm=""fricas"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \sqrt{-3 \, x^{2} + 5 \, x - 2} {\left(6 \, x - 5\right)}}{6 \, {\left(3 \, x^{2} - 5 \, x + 2\right)}}\right)"," ",0,"-1/3*sqrt(3)*arctan(1/6*sqrt(3)*sqrt(-3*x^2 + 5*x - 2)*(6*x - 5)/(3*x^2 - 5*x + 2))","B",0
125,1,137,0,0.438399," ","integrate(2/((b^2+4*c)/c+4*b*x+4*c*x^2)^(1/2),x, algorithm=""fricas"")","\left[\frac{\log\left(-4 \, c^{2} x^{2} - 4 \, b c x - b^{2} - {\left(2 \, c x + b\right)} \sqrt{c} \sqrt{\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2} + 4 \, c}{c}} - 2 \, c\right)}{2 \, \sqrt{c}}, -\frac{\sqrt{-c} \arctan\left(\frac{{\left(2 \, c x + b\right)} \sqrt{-c} \sqrt{\frac{4 \, c^{2} x^{2} + 4 \, b c x + b^{2} + 4 \, c}{c}}}{4 \, c^{2} x^{2} + 4 \, b c x + b^{2} + 4 \, c}\right)}{c}\right]"," ",0,"[1/2*log(-4*c^2*x^2 - 4*b*c*x - b^2 - (2*c*x + b)*sqrt(c)*sqrt((4*c^2*x^2 + 4*b*c*x + b^2 + 4*c)/c) - 2*c)/sqrt(c), -sqrt(-c)*arctan((2*c*x + b)*sqrt(-c)*sqrt((4*c^2*x^2 + 4*b*c*x + b^2 + 4*c)/c)/(4*c^2*x^2 + 4*b*c*x + b^2 + 4*c))/c]","B",0
126,1,141,0,0.457781," ","integrate(2/((-b^2+4*c)/c+4*b*x-4*c*x^2)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-c} \log\left(4 \, c^{2} x^{2} - 4 \, b c x + b^{2} - {\left(2 \, c x - b\right)} \sqrt{-c} \sqrt{-\frac{4 \, c^{2} x^{2} - 4 \, b c x + b^{2} - 4 \, c}{c}} - 2 \, c\right)}{2 \, c}, -\frac{\arctan\left(\frac{{\left(2 \, c x - b\right)} \sqrt{c} \sqrt{-\frac{4 \, c^{2} x^{2} - 4 \, b c x + b^{2} - 4 \, c}{c}}}{4 \, c^{2} x^{2} - 4 \, b c x + b^{2} - 4 \, c}\right)}{\sqrt{c}}\right]"," ",0,"[-1/2*sqrt(-c)*log(4*c^2*x^2 - 4*b*c*x + b^2 - (2*c*x - b)*sqrt(-c)*sqrt(-(4*c^2*x^2 - 4*b*c*x + b^2 - 4*c)/c) - 2*c)/c, -arctan((2*c*x - b)*sqrt(c)*sqrt(-(4*c^2*x^2 - 4*b*c*x + b^2 - 4*c)/c)/(4*c^2*x^2 - 4*b*c*x + b^2 - 4*c))/sqrt(c)]","B",0
127,1,143,0,0.474569," ","integrate(2/((-b^2+c)/c+4*b*x-4*c*x^2)^(1/2),x, algorithm=""fricas"")","\left[-\frac{\sqrt{-c} \log\left(8 \, c^{2} x^{2} - 8 \, b c x + 2 \, b^{2} - 2 \, {\left(2 \, c x - b\right)} \sqrt{-c} \sqrt{-\frac{4 \, c^{2} x^{2} - 4 \, b c x + b^{2} - c}{c}} - c\right)}{2 \, c}, -\frac{\arctan\left(\frac{{\left(2 \, c x - b\right)} \sqrt{c} \sqrt{-\frac{4 \, c^{2} x^{2} - 4 \, b c x + b^{2} - c}{c}}}{4 \, c^{2} x^{2} - 4 \, b c x + b^{2} - c}\right)}{\sqrt{c}}\right]"," ",0,"[-1/2*sqrt(-c)*log(8*c^2*x^2 - 8*b*c*x + 2*b^2 - 2*(2*c*x - b)*sqrt(-c)*sqrt(-(4*c^2*x^2 - 4*b*c*x + b^2 - c)/c) - c)/c, -arctan((2*c*x - b)*sqrt(c)*sqrt(-(4*c^2*x^2 - 4*b*c*x + b^2 - c)/c)/(4*c^2*x^2 - 4*b*c*x + b^2 - c))/sqrt(c)]","B",0
128,1,38,0,0.399066," ","integrate(1/(x^2+3*x+2)^(3/2),x, algorithm=""fricas"")","-\frac{2 \, {\left(2 \, x^{2} + \sqrt{x^{2} + 3 \, x + 2} {\left(2 \, x + 3\right)} + 6 \, x + 4\right)}}{x^{2} + 3 \, x + 2}"," ",0,"-2*(2*x^2 + sqrt(x^2 + 3*x + 2)*(2*x + 3) + 6*x + 4)/(x^2 + 3*x + 2)","B",0
129,1,41,0,0.396931," ","integrate(1/(4*x^2-24*x+27)^(3/2),x, algorithm=""fricas"")","-\frac{4 \, x^{2} + 2 \, \sqrt{4 \, x^{2} - 24 \, x + 27} {\left(x - 3\right)} - 24 \, x + 27}{18 \, {\left(4 \, x^{2} - 24 \, x + 27\right)}}"," ",0,"-1/18*(4*x^2 + 2*sqrt(4*x^2 - 24*x + 27)*(x - 3) - 24*x + 27)/(4*x^2 - 24*x + 27)","B",0
130,1,29,0,0.397009," ","integrate(x/(-x^2-4*x+5)^(3/2),x, algorithm=""fricas"")","\frac{\sqrt{-x^{2} - 4 \, x + 5} {\left(2 \, x - 5\right)}}{9 \, {\left(x^{2} + 4 \, x - 5\right)}}"," ",0,"1/9*sqrt(-x^2 - 4*x + 5)*(2*x - 5)/(x^2 + 4*x - 5)","A",0
131,1,49,0,0.426192," ","integrate(1/(-x^2-4*x+5)^(5/2),x, algorithm=""fricas"")","-\frac{{\left(2 \, x^{3} + 12 \, x^{2} - 3 \, x - 38\right)} \sqrt{-x^{2} - 4 \, x + 5}}{243 \, {\left(x^{4} + 8 \, x^{3} + 6 \, x^{2} - 40 \, x + 25\right)}}"," ",0,"-1/243*(2*x^3 + 12*x^2 - 3*x - 38)*sqrt(-x^2 - 4*x + 5)/(x^4 + 8*x^3 + 6*x^2 - 40*x + 25)","A",0
132,0,0,0,0.425446," ","integrate((c*x^2+b*x+a)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(c x^{2} + b x + a\right)}^{p}, x\right)"," ",0,"integral((c*x^2 + b*x + a)^p, x)","F",0
133,0,0,0,0.427397," ","integrate((5*x^2+4*x+3)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(5 \, x^{2} + 4 \, x + 3\right)}^{p}, x\right)"," ",0,"integral((5*x^2 + 4*x + 3)^p, x)","F",0
134,0,0,0,0.428896," ","integrate((4*x^2+4*x+3)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(4 \, x^{2} + 4 \, x + 3\right)}^{p}, x\right)"," ",0,"integral((4*x^2 + 4*x + 3)^p, x)","F",0
135,0,0,0,0.420068," ","integrate((3*x^2+4*x+3)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(3 \, x^{2} + 4 \, x + 3\right)}^{p}, x\right)"," ",0,"integral((3*x^2 + 4*x + 3)^p, x)","F",0
136,0,0,0,0.422220," ","integrate((2*x^2+4*x+3)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(2 \, x^{2} + 4 \, x + 3\right)}^{p}, x\right)"," ",0,"integral((2*x^2 + 4*x + 3)^p, x)","F",0
137,0,0,0,0.415325," ","integrate((x^2+4*x+3)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(x^{2} + 4 \, x + 3\right)}^{p}, x\right)"," ",0,"integral((x^2 + 4*x + 3)^p, x)","F",0
138,1,19,0,0.411990," ","integrate((3+4*x)^p,x, algorithm=""fricas"")","\frac{{\left(4 \, x + 3\right)}^{p} {\left(4 \, x + 3\right)}}{4 \, {\left(p + 1\right)}}"," ",0,"1/4*(4*x + 3)^p*(4*x + 3)/(p + 1)","A",0
139,0,0,0,0.412068," ","integrate((-x^2+4*x+3)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(-x^{2} + 4 \, x + 3\right)}^{p}, x\right)"," ",0,"integral((-x^2 + 4*x + 3)^p, x)","F",0
140,0,0,0,0.413392," ","integrate((-2*x^2+4*x+3)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(-2 \, x^{2} + 4 \, x + 3\right)}^{p}, x\right)"," ",0,"integral((-2*x^2 + 4*x + 3)^p, x)","F",0
141,0,0,0,0.408923," ","integrate((-3*x^2+4*x+3)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(-3 \, x^{2} + 4 \, x + 3\right)}^{p}, x\right)"," ",0,"integral((-3*x^2 + 4*x + 3)^p, x)","F",0
142,0,0,0,0.408431," ","integrate((-4*x^2+4*x+3)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(-4 \, x^{2} + 4 \, x + 3\right)}^{p}, x\right)"," ",0,"integral((-4*x^2 + 4*x + 3)^p, x)","F",0
143,0,0,0,0.402673," ","integrate((-5*x^2+4*x+3)^p,x, algorithm=""fricas"")","{\rm integral}\left({\left(-5 \, x^{2} + 4 \, x + 3\right)}^{p}, x\right)"," ",0,"integral((-5*x^2 + 4*x + 3)^p, x)","F",0
