1,1,9,0,0.005160," ","integrate((1+2*x)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, {\left(2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"1/3*(2*x + 1)^(3/2)","A",0
2,1,19,0,0.007861," ","integrate(x*(1+3*x)^(1/2),x, algorithm=""giac"")","\frac{2}{45} \, {\left(3 \, x + 1\right)}^{\frac{5}{2}} - \frac{2}{27} \, {\left(3 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"2/45*(3*x + 1)^(5/2) - 2/27*(3*x + 1)^(3/2)","A",0
3,1,22,0,0.007971," ","integrate(x^2*(1+x)^(1/2),x, algorithm=""giac"")","\frac{2}{7} \, {\left(x + 1\right)}^{\frac{7}{2}} - \frac{4}{5} \, {\left(x + 1\right)}^{\frac{5}{2}} + \frac{2}{3} \, {\left(x + 1\right)}^{\frac{3}{2}}"," ",0,"2/7*(x + 1)^(7/2) - 4/5*(x + 1)^(5/2) + 2/3*(x + 1)^(3/2)","A",0
4,1,19,0,0.008547," ","integrate(x/(2-3*x)^(1/2),x, algorithm=""giac"")","\frac{2}{27} \, {\left(-3 \, x + 2\right)}^{\frac{3}{2}} - \frac{4}{9} \, \sqrt{-3 \, x + 2}"," ",0,"2/27*(-3*x + 2)^(3/2) - 4/9*sqrt(-3*x + 2)","A",0
5,1,12,0,0.009843," ","integrate((1+x)/(x^2+2*x+2)^3,x, algorithm=""giac"")","-\frac{1}{4 \, {\left(x^{2} + 2 \, x + 2\right)}^{2}}"," ",0,"-1/4/(x^2 + 2*x + 2)^2","A",0
6,1,11,0,0.006190," ","integrate(sin(x)^3,x, algorithm=""giac"")","\frac{1}{3} \, \cos\left(x\right)^{3} - \cos\left(x\right)"," ",0,"1/3*cos(x)^3 - cos(x)","A",0
7,1,15,0,0.008136," ","integrate((-1+z)^(1/3)*z,z, algorithm=""giac"")","\frac{3}{7} \, {\left(z - 1\right)}^{\frac{7}{3}} + \frac{3}{4} \, {\left(z - 1\right)}^{\frac{4}{3}}"," ",0,"3/7*(z - 1)^(7/3) + 3/4*(z - 1)^(4/3)","A",0
8,1,6,0,0.008591," ","integrate(cos(x)/sin(x)^3,x, algorithm=""giac"")","-\frac{1}{2 \, \sin\left(x\right)^{2}}"," ",0,"-1/2/sin(x)^2","A",0
9,-2,0,0,0.000000," ","integrate(cos(2*x)*(4-sin(2*x))^(1/2),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: integrate(cos(x*2)*exp(ln(-sin(2*x)+4)/2),x)","F(-2)",0
10,1,6,0,0.006146," ","integrate(sin(x)/(3+cos(x))^2,x, algorithm=""giac"")","\frac{1}{\cos\left(x\right) + 3}"," ",0,"1/(cos(x) + 3)","A",0
11,1,6,0,0.006121," ","integrate(sin(x)/(cos(x)^3)^(1/2),x, algorithm=""giac"")","\frac{2}{\sqrt{\cos\left(x\right)}}"," ",0,"2/sqrt(cos(x))","A",0
12,1,8,0,0.007391," ","integrate(sin((1+x)^(1/2))/(1+x)^(1/2),x, algorithm=""giac"")","-2 \, \cos\left(\sqrt{x + 1}\right)"," ",0,"-2*cos(sqrt(x + 1))","A",0
13,1,9,0,0.010290," ","integrate(x^(-1+n)*sin(x^n),x, algorithm=""giac"")","-\frac{\cos\left(x^{n}\right)}{n}"," ",0,"-cos(x^n)/n","A",0
14,1,11,0,0.008122," ","integrate(x^5/(-x^6+1)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{-x^{6} + 1}"," ",0,"-1/3*sqrt(-x^6 + 1)","A",0
15,1,15,0,0.008219," ","integrate(t*(1+t)^(1/4),t, algorithm=""giac"")","\frac{4}{9} \, {\left(t + 1\right)}^{\frac{9}{4}} - \frac{4}{5} \, {\left(t + 1\right)}^{\frac{5}{4}}"," ",0,"4/9*(t + 1)^(9/4) - 4/5*(t + 1)^(5/4)","A",0
16,1,9,0,0.019037," ","integrate(1/(x^2+1)^(3/2),x, algorithm=""giac"")","\frac{x}{\sqrt{x^{2} + 1}}"," ",0,"x/sqrt(x^2 + 1)","A",0
17,1,11,0,0.008073," ","integrate(x^2*(8*x^3+27)^(2/3),x, algorithm=""giac"")","\frac{1}{40} \, {\left(8 \, x^{3} + 27\right)}^{\frac{5}{3}}"," ",0,"1/40*(8*x^3 + 27)^(5/3)","A",0
18,1,11,0,0.030667," ","integrate((cos(x)+sin(x))/(-cos(x)+sin(x))^(1/3),x, algorithm=""giac"")","\frac{3}{2} \, {\left(-\cos\left(x\right) + \sin\left(x\right)\right)}^{\frac{2}{3}}"," ",0,"3/2*(-cos(x) + sin(x))^(2/3)","A",0
19,1,15,0,0.061269," ","integrate(x/(1+x^2+(x^2+1)^(3/2))^(1/2),x, algorithm=""giac"")","2 \, \sqrt{\sqrt{x^{2} + 1} + 1} - 2"," ",0,"2*sqrt(sqrt(x^2 + 1) + 1) - 2","A",0
20,1,13,0,0.009152," ","integrate(x/(x^2+1)^(1/2)/((x^2+1)^(1/2)+1)^(1/2),x, algorithm=""giac"")","2 \, \sqrt{\sqrt{x^{2} + 1} + 1}"," ",0,"2*sqrt(sqrt(x^2 + 1) + 1)","A",0
21,1,12,0,0.009052," ","integrate((x^2-2*x+1)^(1/5)/(1-x),x, algorithm=""giac"")","-\frac{5}{2} \, {\left(x^{2} - 2 \, x + 1\right)}^{\frac{1}{5}}"," ",0,"-5/2*(x^2 - 2*x + 1)^(1/5)","A",0
22,1,8,0,0.006574," ","integrate(x*sin(x),x, algorithm=""giac"")","-x \cos\left(x\right) + \sin\left(x\right)"," ",0,"-x*cos(x) + sin(x)","A",0
23,1,15,0,0.006833," ","integrate(x^2*sin(x),x, algorithm=""giac"")","-{\left(x^{2} - 2\right)} \cos\left(x\right) + 2 \, x \sin\left(x\right)"," ",0,"-(x^2 - 2)*cos(x) + 2*x*sin(x)","A",0
24,1,20,0,0.007204," ","integrate(x^3*cos(x),x, algorithm=""giac"")","3 \, {\left(x^{2} - 2\right)} \cos\left(x\right) + {\left(x^{3} - 6 \, x\right)} \sin\left(x\right)"," ",0,"3*(x^2 - 2)*cos(x) + (x^3 - 6*x)*sin(x)","A",0
25,1,21,0,0.007010," ","integrate(x^3*sin(x),x, algorithm=""giac"")","-{\left(x^{3} - 6 \, x\right)} \cos\left(x\right) + 3 \, {\left(x^{2} - 2\right)} \sin\left(x\right)"," ",0,"-(x^3 - 6*x)*cos(x) + 3*(x^2 - 2)*sin(x)","A",0
26,1,6,0,0.006409," ","integrate(cos(x)*sin(x),x, algorithm=""giac"")","-\frac{1}{2} \, \cos\left(x\right)^{2}"," ",0,"-1/2*cos(x)^2","A",0
27,1,14,0,0.008526," ","integrate(x*cos(x)*sin(x),x, algorithm=""giac"")","-\frac{1}{4} \, x \cos\left(2 \, x\right) + \frac{1}{8} \, \sin\left(2 \, x\right)"," ",0,"-1/4*x*cos(2*x) + 1/8*sin(2*x)","A",0
28,1,10,0,0.008102," ","integrate(sin(x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x - \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"1/2*x - 1/4*sin(2*x)","A",0
29,1,11,0,0.006252," ","integrate(sin(x)^3,x, algorithm=""giac"")","\frac{1}{3} \, \cos\left(x\right)^{3} - \cos\left(x\right)"," ",0,"1/3*cos(x)^3 - cos(x)","A",0
30,1,16,0,0.005878," ","integrate(sin(x)^4,x, algorithm=""giac"")","\frac{3}{8} \, x + \frac{1}{32} \, \sin\left(4 \, x\right) - \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"3/8*x + 1/32*sin(4*x) - 1/4*sin(2*x)","A",0
31,1,17,0,0.006990," ","integrate(sin(x)^5,x, algorithm=""giac"")","-\frac{1}{5} \, \cos\left(x\right)^{5} + \frac{2}{3} \, \cos\left(x\right)^{3} - \cos\left(x\right)"," ",0,"-1/5*cos(x)^5 + 2/3*cos(x)^3 - cos(x)","A",0
32,1,22,0,0.006638," ","integrate(sin(x)^6,x, algorithm=""giac"")","\frac{5}{16} \, x - \frac{1}{192} \, \sin\left(6 \, x\right) + \frac{3}{64} \, \sin\left(4 \, x\right) - \frac{15}{64} \, \sin\left(2 \, x\right)"," ",0,"5/16*x - 1/192*sin(6*x) + 3/64*sin(4*x) - 15/64*sin(2*x)","A",0
33,1,19,0,0.007276," ","integrate(x*sin(x)^2,x, algorithm=""giac"")","\frac{1}{4} \, x^{2} - \frac{1}{4} \, x \sin\left(2 \, x\right) - \frac{1}{8} \, \cos\left(2 \, x\right)"," ",0,"1/4*x^2 - 1/4*x*sin(2*x) - 1/8*cos(2*x)","A",0
34,1,23,0,0.007340," ","integrate(x*sin(x)^3,x, algorithm=""giac"")","\frac{1}{12} \, x \cos\left(3 \, x\right) - \frac{3}{4} \, x \cos\left(x\right) - \frac{1}{36} \, \sin\left(3 \, x\right) + \frac{3}{4} \, \sin\left(x\right)"," ",0,"1/12*x*cos(3*x) - 3/4*x*cos(x) - 1/36*sin(3*x) + 3/4*sin(x)","A",0
35,1,26,0,0.007465," ","integrate(x^2*sin(x)^2,x, algorithm=""giac"")","\frac{1}{6} \, x^{3} - \frac{1}{4} \, x \cos\left(2 \, x\right) - \frac{1}{8} \, {\left(2 \, x^{2} - 1\right)} \sin\left(2 \, x\right)"," ",0,"1/6*x^3 - 1/4*x*cos(2*x) - 1/8*(2*x^2 - 1)*sin(2*x)","A",0
36,1,10,0,0.005868," ","integrate(cos(x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x + \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"1/2*x + 1/4*sin(2*x)","A",0
37,1,9,0,0.006037," ","integrate(cos(x)^3,x, algorithm=""giac"")","-\frac{1}{3} \, \sin\left(x\right)^{3} + \sin\left(x\right)"," ",0,"-1/3*sin(x)^3 + sin(x)","A",0
38,1,16,0,0.005892," ","integrate(cos(x)^4,x, algorithm=""giac"")","\frac{3}{8} \, x + \frac{1}{32} \, \sin\left(4 \, x\right) + \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"3/8*x + 1/32*sin(4*x) + 1/4*sin(2*x)","A",0
39,1,50,0,0.047351," ","integrate((a^2-x^2)^(5/2),x, algorithm=""giac"")","\frac{5}{16} \, a^{6} \arcsin\left(\frac{x}{a}\right) \mathrm{sgn}\left(a\right) + \frac{1}{48} \, {\left(33 \, a^{4} - 2 \, {\left(13 \, a^{2} - 4 \, x^{2}\right)} x^{2}\right)} \sqrt{a^{2} - x^{2}} x"," ",0,"5/16*a^6*arcsin(x/a)*sgn(a) + 1/48*(33*a^4 - 2*(13*a^2 - 4*x^2)*x^2)*sqrt(a^2 - x^2)*x","A",0
40,1,28,0,0.007439," ","integrate(x^5/(x^2+5)^(1/2),x, algorithm=""giac"")","\frac{1}{5} \, {\left(x^{2} + 5\right)}^{\frac{5}{2}} - \frac{10}{3} \, {\left(x^{2} + 5\right)}^{\frac{3}{2}} + 25 \, \sqrt{x^{2} + 5}"," ",0,"1/5*(x^2 + 5)^(5/2) - 10/3*(x^2 + 5)^(3/2) + 25*sqrt(x^2 + 5)","A",0
41,-2,0,0,0.000000," ","integrate(t^3/(t^3+4)^(1/2),t, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: 2/5*t*sqrt(t^3+4)+integrate(-8/5/sqrt(t^3+4),t)","F(-2)",0
42,1,6,0,0.009129," ","integrate(tan(x)^2,x, algorithm=""giac"")","-x + \tan\left(x\right)"," ",0,"-x + tan(x)","A",0
43,1,12,0,0.008800," ","integrate(tan(x)^4,x, algorithm=""giac"")","\frac{1}{3} \, \tan\left(x\right)^{3} + x - \tan\left(x\right)"," ",0,"1/3*tan(x)^3 + x - tan(x)","A",0
44,1,18,0,0.017599," ","integrate(cot(x)^2,x, algorithm=""giac"")","-x - \frac{1}{2 \, \tan\left(\frac{1}{2} \, x\right)} + \frac{1}{2} \, \tan\left(\frac{1}{2} \, x\right)"," ",0,"-x - 1/2/tan(1/2*x) + 1/2*tan(1/2*x)","B",0
45,1,34,0,0.018714," ","integrate(cot(x)^4,x, algorithm=""giac"")","\frac{1}{24} \, \tan\left(\frac{1}{2} \, x\right)^{3} + x + \frac{15 \, \tan\left(\frac{1}{2} \, x\right)^{2} - 1}{24 \, \tan\left(\frac{1}{2} \, x\right)^{3}} - \frac{5}{8} \, \tan\left(\frac{1}{2} \, x\right)"," ",0,"1/24*tan(1/2*x)^3 + x + 1/24*(15*tan(1/2*x)^2 - 1)/tan(1/2*x)^3 - 5/8*tan(1/2*x)","B",0
46,1,18,0,0.012605," ","integrate((2+3*x)*sin(5*x),x, algorithm=""giac"")","-\frac{1}{5} \, {\left(3 \, x + 2\right)} \cos\left(5 \, x\right) + \frac{3}{25} \, \sin\left(5 \, x\right)"," ",0,"-1/5*(3*x + 2)*cos(5*x) + 3/25*sin(5*x)","A",0
47,1,9,0,0.007482," ","integrate(x*(x^2+1)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, {\left(x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"1/3*(x^2 + 1)^(3/2)","A",0
48,1,9,0,0.008440," ","integrate(x*(x^2-1)^9,x, algorithm=""giac"")","\frac{1}{20} \, {\left(x^{2} - 1\right)}^{10}"," ",0,"1/20*(x^2 - 1)^10","A",0
49,1,14,0,0.008632," ","integrate((3+2*x)/(7+6*x)^3,x, algorithm=""giac"")","-\frac{3 \, x + 4}{9 \, {\left(6 \, x + 7\right)}^{2}}"," ",0,"-1/9*(3*x + 4)/(6*x + 7)^2","A",0
50,1,9,0,0.007578," ","integrate(x^4*(x^5+1)^5,x, algorithm=""giac"")","\frac{1}{30} \, {\left(x^{5} + 1\right)}^{6}"," ",0,"1/30*(x^5 + 1)^6","A",0
51,1,106,0,0.008239," ","integrate((1-x)^20*x^4,x, algorithm=""giac"")","\frac{1}{25} \, x^{25} - \frac{5}{6} \, x^{24} + \frac{190}{23} \, x^{23} - \frac{570}{11} \, x^{22} + \frac{1615}{7} \, x^{21} - \frac{3876}{5} \, x^{20} + 2040 \, x^{19} - \frac{12920}{3} \, x^{18} + 7410 \, x^{17} - \frac{20995}{2} \, x^{16} + \frac{184756}{15} \, x^{15} - \frac{83980}{7} \, x^{14} + 9690 \, x^{13} - 6460 \, x^{12} + \frac{38760}{11} \, x^{11} - \frac{7752}{5} \, x^{10} + \frac{1615}{3} \, x^{9} - \frac{285}{2} \, x^{8} + \frac{190}{7} \, x^{7} - \frac{10}{3} \, x^{6} + \frac{1}{5} \, x^{5}"," ",0,"1/25*x^25 - 5/6*x^24 + 190/23*x^23 - 570/11*x^22 + 1615/7*x^21 - 3876/5*x^20 + 2040*x^19 - 12920/3*x^18 + 7410*x^17 - 20995/2*x^16 + 184756/15*x^15 - 83980/7*x^14 + 9690*x^13 - 6460*x^12 + 38760/11*x^11 - 7752/5*x^10 + 1615/3*x^9 - 285/2*x^8 + 190/7*x^7 - 10/3*x^6 + 1/5*x^5","B",0
52,1,4,0,0.008063," ","integrate(sin(1/x)/x^2,x, algorithm=""giac"")","\cos\left(\frac{1}{x}\right)"," ",0,"cos(1/x)","A",0
53,1,37,0,0.010924," ","integrate(sin((-1+x)^(1/4)),x, algorithm=""giac"")","-4 \, {\left({\left(x - 1\right)}^{\frac{3}{4}} - 6 \, {\left(x - 1\right)}^{\frac{1}{4}}\right)} \cos\left({\left(x - 1\right)}^{\frac{1}{4}}\right) + 12 \, {\left(\sqrt{x - 1} - 2\right)} \sin\left({\left(x - 1\right)}^{\frac{1}{4}}\right)"," ",0,"-4*((x - 1)^(3/4) - 6*(x - 1)^(1/4))*cos((x - 1)^(1/4)) + 12*(sqrt(x - 1) - 2)*sin((x - 1)^(1/4))","A",0
54,1,8,0,0.006294," ","integrate(x*cos(x^2)*sin(x^2),x, algorithm=""giac"")","-\frac{1}{4} \, \cos\left(x^{2}\right)^{2}"," ",0,"-1/4*cos(x^2)^2","A",0
55,1,12,0,0.008134," ","integrate(sin(2*x)*(1+3*cos(x)^2)^(1/2),x, algorithm=""giac"")","-\frac{2}{9} \, {\left(3 \, \cos\left(x\right)^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"-2/9*(3*cos(x)^2 + 1)^(3/2)","A",0
56,1,9,0,0.005190," ","integrate(1/(2+3*x),x, algorithm=""giac"")","\frac{1}{3} \, \log\left({\left| 3 \, x + 2 \right|}\right)"," ",0,"1/3*log(abs(3*x + 2))","A",0
57,1,15,0,0.005581," ","integrate(log(x)^2,x, algorithm=""giac"")","x \log\left(x\right)^{2} - 2 \, x \log\left(x\right) + 2 \, x"," ",0,"x*log(x)^2 - 2*x*log(x) + 2*x","A",0
58,1,13,0,0.006799," ","integrate(x*log(x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \log\left(x\right) - \frac{1}{4} \, x^{2}"," ",0,"1/2*x^2*log(x) - 1/4*x^2","A",0
59,1,22,0,0.007541," ","integrate(x*log(x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \log\left(x\right)^{2} - \frac{1}{2} \, x^{2} \log\left(x\right) + \frac{1}{4} \, x^{2}"," ",0,"1/2*x^2*log(x)^2 - 1/2*x^2*log(x) + 1/4*x^2","A",0
60,1,5,0,0.005166," ","integrate(1/(1+t),t, algorithm=""giac"")","\log\left({\left| t + 1 \right|}\right)"," ",0,"log(abs(t + 1))","A",0
61,1,4,0,0.010140," ","integrate(cot(x),x, algorithm=""giac"")","\log\left({\left| \sin\left(x\right) \right|}\right)"," ",0,"log(abs(sin(x)))","A",0
62,-2,0,0,0.000000," ","integrate(x^n*log(a*x),x, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: x^(n+1)/(n+1)*ln(a*x)+integrate(-x^(n+1)/(n*x+x),x)","F(-2)",0
63,1,22,0,0.007501," ","integrate(x^2*log(x)^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \log\left(x\right)^{2} - \frac{2}{9} \, x^{3} \log\left(x\right) + \frac{2}{27} \, x^{3}"," ",0,"1/3*x^3*log(x)^2 - 2/9*x^3*log(x) + 2/27*x^3","A",0
64,1,4,0,0.005319," ","integrate(1/x/log(x),x, algorithm=""giac"")","\log\left({\left| \log\left(x\right) \right|}\right)"," ",0,"log(abs(log(x)))","A",0
65,1,10,0,0.007522," ","integrate(log(1-t)/(1-t),t, algorithm=""giac"")","-\frac{1}{2} \, \log\left(-t + 1\right)^{2}"," ",0,"-1/2*log(-t + 1)^2","A",0
66,1,17,0,0.006345," ","integrate(log(x)/x/(1+log(x))^(1/2),x, algorithm=""giac"")","\frac{2}{3} \, {\left(\log\left(x\right) + 1\right)}^{\frac{3}{2}} - 2 \, \sqrt{\log\left(x\right) + 1}"," ",0,"2/3*(log(x) + 1)^(3/2) - 2*sqrt(log(x) + 1)","A",0
67,1,31,0,0.008862," ","integrate(x^3*log(x)^3,x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \log\left(x\right)^{3} - \frac{3}{16} \, x^{4} \log\left(x\right)^{2} + \frac{3}{32} \, x^{4} \log\left(x\right) - \frac{3}{128} \, x^{4}"," ",0,"1/4*x^4*log(x)^3 - 3/16*x^4*log(x)^2 + 3/32*x^4*log(x) - 3/128*x^4","A",0
68,1,6,0,0.005213," ","integrate(exp(x^3)*x^2,x, algorithm=""giac"")","\frac{1}{3} \, e^{\left(x^{3}\right)}"," ",0,"1/3*e^(x^3)","A",0
69,1,11,0,0.006345," ","integrate(2^(x^(1/2))/x^(1/2),x, algorithm=""giac"")","\frac{2 \cdot 2^{\left(\sqrt{x}\right)}}{\log\left(2\right)}"," ",0,"2*2^sqrt(x)/log(2)","A",0
70,1,7,0,0.005734," ","integrate(exp(2*sin(x))*cos(x),x, algorithm=""giac"")","\frac{1}{2} \, e^{\left(2 \, \sin\left(x\right)\right)}"," ",0,"1/2*e^(2*sin(x))","A",0
71,1,11,0,0.006445," ","integrate(exp(x)*sin(x),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(\cos\left(x\right) - \sin\left(x\right)\right)} e^{x}"," ",0,"-1/2*(cos(x) - sin(x))*e^x","A",0
72,1,9,0,0.005535," ","integrate(exp(x)*cos(x),x, algorithm=""giac"")","\frac{1}{2} \, {\left(\cos\left(x\right) + \sin\left(x\right)\right)} e^{x}"," ",0,"1/2*(cos(x) + sin(x))*e^x","A",0
73,1,9,0,0.005634," ","integrate(1/(1+exp(x)),x, algorithm=""giac"")","x - \log\left(e^{x} + 1\right)"," ",0,"x - log(e^x + 1)","A",0
74,1,6,0,0.005030," ","integrate(exp(x)*x,x, algorithm=""giac"")","{\left(x - 1\right)} e^{x}"," ",0,"(x - 1)*e^x","A",0
75,1,9,0,0.019436," ","integrate(x/exp(x),x, algorithm=""giac"")","-{\left(x + 1\right)} e^{\left(-x\right)}"," ",0,"-(x + 1)*e^(-x)","A",0
76,1,11,0,0.005563," ","integrate(exp(x)*x^2,x, algorithm=""giac"")","{\left(x^{2} - 2 \, x + 2\right)} e^{x}"," ",0,"(x^2 - 2*x + 2)*e^x","A",0
77,1,16,0,0.006723," ","integrate(x^2/exp(2*x),x, algorithm=""giac"")","-\frac{1}{4} \, {\left(2 \, x^{2} + 2 \, x + 1\right)} e^{\left(-2 \, x\right)}"," ",0,"-1/4*(2*x^2 + 2*x + 1)*e^(-2*x)","A",0
78,1,11,0,0.006455," ","integrate(exp(x^(1/2)),x, algorithm=""giac"")","2 \, {\left(\sqrt{x} - 1\right)} e^{\sqrt{x}}"," ",0,"2*(sqrt(x) - 1)*e^sqrt(x)","A",0
79,1,13,0,0.007028," ","integrate(x^3/exp(x^2),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(x^{2} + 1\right)} e^{\left(-x^{2}\right)}"," ",0,"-1/2*(x^2 + 1)*e^(-x^2)","A",0
80,1,36,0,0.007629," ","integrate(exp(a*x)*cos(b*x),x, algorithm=""giac"")","{\left(\frac{a \cos\left(b x\right)}{a^{2} + b^{2}} + \frac{b \sin\left(b x\right)}{a^{2} + b^{2}}\right)} e^{\left(a x\right)}"," ",0,"(a*cos(b*x)/(a^2 + b^2) + b*sin(b*x)/(a^2 + b^2))*e^(a*x)","A",0
81,1,38,0,0.008710," ","integrate(exp(a*x)*sin(b*x),x, algorithm=""giac"")","-{\left(\frac{b \cos\left(b x\right)}{a^{2} + b^{2}} - \frac{a \sin\left(b x\right)}{a^{2} + b^{2}}\right)} e^{\left(a x\right)}"," ",0,"-(b*cos(b*x)/(a^2 + b^2) - a*sin(b*x)/(a^2 + b^2))*e^(a*x)","A",0
82,1,21,0,0.012500," ","integrate(arccot(x),x, algorithm=""giac"")","x \arctan\left(\frac{1}{x}\right) + \frac{1}{2} \, \log\left(\frac{1}{x^{2}} + 1\right) - \frac{1}{2} \, \log\left(\frac{1}{x^{2}}\right)"," ",0,"x*arctan(1/x) + 1/2*log(1/x^2 + 1) - 1/2*log(x^(-2))","A",0
83,1,37,0,0.030164," ","integrate(arcsec(x),x, algorithm=""giac"")","x \arccos\left(\frac{1}{x}\right) - \frac{1}{2} \, \log\left(\sqrt{-\frac{1}{x^{2}} + 1} + 1\right) + \frac{1}{2} \, \log\left(-\sqrt{-\frac{1}{x^{2}} + 1} + 1\right)"," ",0,"x*arccos(1/x) - 1/2*log(sqrt(-1/x^2 + 1) + 1) + 1/2*log(-sqrt(-1/x^2 + 1) + 1)","B",0
84,1,37,0,0.029341," ","integrate(arccsc(x),x, algorithm=""giac"")","x \arcsin\left(\frac{1}{x}\right) + \frac{1}{2} \, \log\left(\sqrt{-\frac{1}{x^{2}} + 1} + 1\right) - \frac{1}{2} \, \log\left(-\sqrt{-\frac{1}{x^{2}} + 1} + 1\right)"," ",0,"x*arcsin(1/x) + 1/2*log(sqrt(-1/x^2 + 1) + 1) - 1/2*log(-sqrt(-1/x^2 + 1) + 1)","B",0
85,1,23,0,0.017387," ","integrate(arcsin(x)^2,x, algorithm=""giac"")","x \arcsin\left(x\right)^{2} + 2 \, \sqrt{-x^{2} + 1} \arcsin\left(x\right) - 2 \, x"," ",0,"x*arcsin(x)^2 + 2*sqrt(-x^2 + 1)*arcsin(x) - 2*x","A",0
86,1,38,0,0.021479," ","integrate(arcsin(x)/x^2,x, algorithm=""giac"")","-\frac{\arcsin\left(x\right)}{x} - \frac{1}{2} \, \log\left(\sqrt{-x^{2} + 1} + 1\right) + \frac{1}{2} \, \log\left(-\sqrt{-x^{2} + 1} + 1\right)"," ",0,"-arcsin(x)/x - 1/2*log(sqrt(-x^2 + 1) + 1) + 1/2*log(-sqrt(-x^2 + 1) + 1)","A",0
87,1,9,0,0.039299," ","integrate(1/(a^2-x^2)^(1/2),x, algorithm=""giac"")","\arcsin\left(\frac{x}{a}\right) \mathrm{sgn}\left(a\right)"," ",0,"arcsin(x/a)*sgn(a)","A",0
88,1,9,0,0.033898," ","integrate(1/(-x^2-2*x+1)^(1/2),x, algorithm=""giac"")","\arcsin\left(\frac{1}{2} \, \sqrt{2} {\left(x + 1\right)}\right)"," ",0,"arcsin(1/2*sqrt(2)*(x + 1))","A",0
89,1,10,0,0.006865," ","integrate(1/(a^2+x^2),x, algorithm=""giac"")","\frac{\arctan\left(\frac{x}{a}\right)}{a}"," ",0,"arctan(x/a)/a","A",0
90,1,15,0,0.007377," ","integrate(1/(b*x^2+a),x, algorithm=""giac"")","\frac{\arctan\left(\frac{b x}{\sqrt{a b}}\right)}{\sqrt{a b}}"," ",0,"arctan(b*x/sqrt(a*b))/sqrt(a*b)","A",0
91,1,16,0,0.006781," ","integrate(1/(x^2-x+2),x, algorithm=""giac"")","\frac{2}{7} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(2 \, x - 1\right)}\right)"," ",0,"2/7*sqrt(7)*arctan(1/7*sqrt(7)*(2*x - 1))","A",0
92,1,15,0,0.010162," ","integrate(x*arctan(x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \arctan\left(x\right) - \frac{1}{2} \, x + \frac{1}{2} \, \arctan\left(x\right)"," ",0,"1/2*x^2*arctan(x) - 1/2*x + 1/2*arctan(x)","A",0
93,1,33,0,0.021935," ","integrate(x^2*arccos(x),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \arccos\left(x\right) - \frac{1}{9} \, \sqrt{-x^{2} + 1} x^{2} - \frac{2}{9} \, \sqrt{-x^{2} + 1}"," ",0,"1/3*x^3*arccos(x) - 1/9*sqrt(-x^2 + 1)*x^2 - 2/9*sqrt(-x^2 + 1)","A",0
94,1,29,0,0.021389," ","integrate(x*arctan(x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \arctan\left(x\right)^{2} - x \arctan\left(x\right) + \frac{1}{2} \, \arctan\left(x\right)^{2} + \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"1/2*x^2*arctan(x)^2 - x*arctan(x) + 1/2*arctan(x)^2 + 1/2*log(x^2 + 1)","A",0
95,1,16,0,0.015687," ","integrate(arctan(x^(1/2)),x, algorithm=""giac"")","x \arctan\left(\sqrt{x}\right) - \sqrt{x} + \arctan\left(\sqrt{x}\right)"," ",0,"x*arctan(sqrt(x)) - sqrt(x) + arctan(sqrt(x))","A",0
96,1,6,0,0.011120," ","integrate(arctan(x^(1/2))/(1+x)/x^(1/2),x, algorithm=""giac"")","\arctan\left(\sqrt{x}\right)^{2}"," ",0,"arctan(sqrt(x))^2","A",0
97,1,17,0,0.014971," ","integrate((-x^2+1)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{-x^{2} + 1} x + \frac{1}{2} \, \arcsin\left(x\right)"," ",0,"1/2*sqrt(-x^2 + 1)*x + 1/2*arcsin(x)","A",0
98,1,24,0,0.013090," ","integrate(exp(arctan(x))*x/(x^2+1)^(3/2),x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{x}{\sqrt{x^{2} + 1}} - \frac{1}{\sqrt{x^{2} + 1}}\right)} e^{\arctan\left(x\right)}"," ",0,"1/2*(x/sqrt(x^2 + 1) - 1/sqrt(x^2 + 1))*e^arctan(x)","A",0
99,1,22,0,0.011669," ","integrate(exp(arctan(x))/(x^2+1)^(3/2),x, algorithm=""giac"")","\frac{1}{2} \, {\left(\frac{x}{\sqrt{x^{2} + 1}} + \frac{1}{\sqrt{x^{2} + 1}}\right)} e^{\arctan\left(x\right)}"," ",0,"1/2*(x/sqrt(x^2 + 1) + 1/sqrt(x^2 + 1))*e^arctan(x)","A",0
100,1,15,0,0.008749," ","integrate(x^2/(x^2+1)^2,x, algorithm=""giac"")","-\frac{x}{2 \, {\left(x^{2} + 1\right)}} + \frac{1}{2} \, \arctan\left(x\right)"," ",0,"-1/2*x/(x^2 + 1) + 1/2*arctan(x)","A",0
101,1,3,0,0.006053," ","integrate(exp(x)/(1+exp(2*x)),x, algorithm=""giac"")","\arctan\left(e^{x}\right)"," ",0,"arctan(e^x)","A",0
102,1,21,0,0.010481," ","integrate(arccot(exp(x))/exp(x),x, algorithm=""giac"")","-\arctan\left(e^{\left(-x\right)}\right) e^{\left(-x\right)} + \frac{1}{2} \, \log\left(e^{\left(-2 \, x\right)} + 1\right)"," ",0,"-arctan(e^(-x))*e^(-x) + 1/2*log(e^(-2*x) + 1)","A",0
103,1,36,0,0.039974," ","integrate(((a+x)/(a-x))^(1/2),x, algorithm=""giac"")","a \arcsin\left(\frac{x}{a}\right) \mathrm{sgn}\left(a - x\right) \mathrm{sgn}\left(a\right) - \sqrt{a^{2} - x^{2}} \mathrm{sgn}\left(a - x\right)"," ",0,"a*arcsin(x/a)*sgn(a - x)*sgn(a) - sqrt(a^2 - x^2)*sgn(a - x)","A",0
104,1,61,0,0.029863," ","integrate(((b-x)*(-a+x))^(1/2),x, algorithm=""giac"")","\frac{1}{8} \, {\left(a^{2} - 2 \, a b + b^{2}\right)} \arcsin\left(\frac{a + b - 2 \, x}{a - b}\right) \mathrm{sgn}\left(-a + b\right) - \frac{1}{4} \, \sqrt{-a b + a x + b x - x^{2}} {\left(a + b - 2 \, x\right)}"," ",0,"1/8*(a^2 - 2*a*b + b^2)*arcsin((a + b - 2*x)/(a - b))*sgn(-a + b) - 1/4*sqrt(-a*b + a*x + b*x - x^2)*(a + b - 2*x)","A",0
105,1,22,0,0.116665," ","integrate(1/((b-x)*(-a+x))^(1/2),x, algorithm=""giac"")","\arcsin\left(\frac{a + b - 2 \, x}{a - b}\right) \mathrm{sgn}\left(-a + b\right)"," ",0,"arcsin((a + b - 2*x)/(a - b))*sgn(-a + b)","A",0
106,1,15,0,0.006878," ","integrate((3+5*x)/(x^2+2*x-3),x, algorithm=""giac"")","3 \, \log\left({\left| x + 3 \right|}\right) + 2 \, \log\left({\left| x - 1 \right|}\right)"," ",0,"3*log(abs(x + 3)) + 2*log(abs(x - 1))","A",0
107,1,15,0,0.006908," ","integrate((5+2*x)/(x^2+2*x-3),x, algorithm=""giac"")","\frac{1}{4} \, \log\left({\left| x + 3 \right|}\right) + \frac{7}{4} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"1/4*log(abs(x + 3)) + 7/4*log(abs(x - 1))","A",0
108,1,21,0,0.007569," ","integrate((x^3+3*x)/(x^2-2*x-3),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} + 2 \, x + \log\left({\left| x + 1 \right|}\right) + 9 \, \log\left({\left| x - 3 \right|}\right)"," ",0,"1/2*x^2 + 2*x + log(abs(x + 1)) + 9*log(abs(x - 3))","A",0
109,1,20,0,0.008189," ","integrate((2*x^2+5*x-1)/(x^3+x^2-2*x),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left({\left| x + 2 \right|}\right) + 2 \, \log\left({\left| x - 1 \right|}\right) + \frac{1}{2} \, \log\left({\left| x \right|}\right)"," ",0,"-1/2*log(abs(x + 2)) + 2*log(abs(x - 1)) + 1/2*log(abs(x))","A",0
110,1,24,0,0.008870," ","integrate((x^2+2*x+3)/(-1+x)/(1+x)^2,x, algorithm=""giac"")","\frac{1}{x + 1} + \log\left({\left| x + 1 \right|}\right) + \frac{3}{2} \, \log\left({\left| -\frac{2}{x + 1} + 1 \right|}\right)"," ",0,"1/(x + 1) + log(abs(x + 1)) + 3/2*log(abs(-2/(x + 1) + 1))","A",0
111,1,29,0,0.010046," ","integrate((3*x^2+2*x-2)/(x^3-1),x, algorithm=""giac"")","\frac{4}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \log\left(x^{2} + x + 1\right) + \log\left({\left| x - 1 \right|}\right)"," ",0,"4/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + log(x^2 + x + 1) + log(abs(x - 1))","A",0
112,1,37,0,0.011284," ","integrate((x^4-x^3+2*x^2-x+2)/(-1+x)/(x^2+2)^2,x, algorithm=""giac"")","-\frac{1}{6} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + \frac{1}{2 \, {\left(x^{2} + 2\right)}} + \frac{1}{3} \, \log\left(x^{2} + 2\right) + \frac{1}{3} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/6*sqrt(2)*arctan(1/2*sqrt(2)*x) + 1/2/(x^2 + 2) + 1/3*log(x^2 + 2) + 1/3*log(abs(x - 1))","A",0
113,1,37,0,0.034941," ","integrate(1/(cos(x)+sin(x)),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2} \log\left(\frac{{\left| -2 \, \sqrt{2} + 2 \, \tan\left(\frac{1}{2} \, x\right) - 2 \right|}}{{\left| 2 \, \sqrt{2} + 2 \, \tan\left(\frac{1}{2} \, x\right) - 2 \right|}}\right)"," ",0,"-1/2*sqrt(2)*log(abs(-2*sqrt(2) + 2*tan(1/2*x) - 2)/abs(2*sqrt(2) + 2*tan(1/2*x) - 2))","B",0
114,1,14,0,0.009018," ","integrate(x/(4-x^2+(-x^2+4)^(1/2)),x, algorithm=""giac"")","-\log\left(\sqrt{-x^{2} + 4} + 1\right)"," ",0,"-log(sqrt(-x^2 + 4) + 1)","A",0
115,1,11,0,0.007439," ","integrate((3+2*x)/(-2+x)/(5+x),x, algorithm=""giac"")","\log\left({\left| x + 5 \right|}\right) + \log\left({\left| x - 2 \right|}\right)"," ",0,"log(abs(x + 5)) + log(abs(x - 2))","A",0
116,1,22,0,0.008043," ","integrate(x/(1+x)/(2+x)/(3+x),x, algorithm=""giac"")","-\frac{3}{2} \, \log\left({\left| x + 3 \right|}\right) + 2 \, \log\left({\left| x + 2 \right|}\right) - \frac{1}{2} \, \log\left({\left| x + 1 \right|}\right)"," ",0,"-3/2*log(abs(x + 3)) + 2*log(abs(x + 2)) - 1/2*log(abs(x + 1))","A",0
117,1,22,0,0.007337," ","integrate(x/(x^3-3*x+2),x, algorithm=""giac"")","-\frac{1}{3 \, {\left(x - 1\right)}} - \frac{2}{9} \, \log\left({\left| x + 2 \right|}\right) + \frac{2}{9} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/3/(x - 1) - 2/9*log(abs(x + 2)) + 2/9*log(abs(x - 1))","A",0
118,1,26,0,0.007741," ","integrate((x^4+2*x-6)/(x^3+x^2-2*x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} - x + \log\left({\left| x + 2 \right|}\right) - \log\left({\left| x - 1 \right|}\right) + 3 \, \log\left({\left| x \right|}\right)"," ",0,"1/2*x^2 - x + log(abs(x + 2)) - log(abs(x - 1)) + 3*log(abs(x))","A",0
119,1,16,0,0.006911," ","integrate((8*x^3+7)/(1+x)/(1+2*x)^3,x, algorithm=""giac"")","\frac{6 \, x}{{\left(2 \, x + 1\right)}^{2}} + \log\left({\left| x + 1 \right|}\right)"," ",0,"6*x/(2*x + 1)^2 + log(abs(x + 1))","A",0
120,1,15,0,0.008443," ","integrate((4*x^2+x+1)/(x^3-1),x, algorithm=""giac"")","\log\left(x^{2} + x + 1\right) + 2 \, \log\left({\left| x - 1 \right|}\right)"," ",0,"log(x^2 + x + 1) + 2*log(abs(x - 1))","A",0
121,1,12,0,0.010315," ","integrate(x^4/(x^4+5*x^2+4),x, algorithm=""giac"")","x - \frac{8}{3} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{1}{3} \, \arctan\left(x\right)"," ",0,"x - 8/3*arctan(1/2*x) + 1/3*arctan(x)","A",0
122,1,13,0,0.006377," ","integrate((2+x)/(x^2+x),x, algorithm=""giac"")","-\log\left({\left| x + 1 \right|}\right) + 2 \, \log\left({\left| x \right|}\right)"," ",0,"-log(abs(x + 1)) + 2*log(abs(x))","A",0
123,1,29,0,0.007689," ","integrate(1/x/(x^2+1)^2,x, algorithm=""giac"")","\frac{x^{2} + 2}{2 \, {\left(x^{2} + 1\right)}} - \frac{1}{2} \, \log\left(x^{2} + 1\right) + \frac{1}{2} \, \log\left(x^{2}\right)"," ",0,"1/2*(x^2 + 2)/(x^2 + 1) - 1/2*log(x^2 + 1) + 1/2*log(x^2)","A",0
124,1,52,0,0.009326," ","integrate(1/(1+x)/(2+x)^2/(3+x)^3,x, algorithm=""giac"")","\frac{1}{x + 2} - \frac{\frac{7}{x + 2} + 6}{4 \, {\left(\frac{1}{x + 2} + 1\right)}^{2}} + \frac{1}{8} \, \log\left({\left| -\frac{1}{x + 2} + 1 \right|}\right) - \frac{17}{8} \, \log\left({\left| -\frac{1}{x + 2} - 1 \right|}\right)"," ",0,"1/(x + 2) - 1/4*(7/(x + 2) + 6)/(1/(x + 2) + 1)^2 + 1/8*log(abs(-1/(x + 2) + 1)) - 17/8*log(abs(-1/(x + 2) - 1))","A",0
125,1,11,0,0.006043," ","integrate(x/(1+x)^2,x, algorithm=""giac"")","\frac{1}{x + 1} + \log\left({\left| x + 1 \right|}\right)"," ",0,"1/(x + 1) + log(abs(x + 1))","A",0
126,1,16,0,0.006834," ","integrate(1/(x^3-x),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(x^{2}\right) + \frac{1}{2} \, \log\left({\left| x^{2} - 1 \right|}\right)"," ",0,"-1/2*log(x^2) + 1/2*log(abs(x^2 - 1))","A",0
127,1,16,0,0.007186," ","integrate(x^2/(x^2+x-6),x, algorithm=""giac"")","x - \frac{9}{5} \, \log\left({\left| x + 3 \right|}\right) + \frac{4}{5} \, \log\left({\left| x - 2 \right|}\right)"," ",0,"x - 9/5*log(abs(x + 3)) + 4/5*log(abs(x - 2))","A",0
128,1,13,0,0.006975," ","integrate((2+x)/(x^2-4*x+4),x, algorithm=""giac"")","-\frac{4}{x - 2} + \log\left({\left| x - 2 \right|}\right)"," ",0,"-4/(x - 2) + log(abs(x - 2))","A",0
129,1,14,0,0.009422," ","integrate(1/(x^2-4*x+4)/(x^2-4*x+5),x, algorithm=""giac"")","-\frac{1}{x - 2} - \arctan\left(x - 2\right)"," ",0,"-1/(x - 2) - arctan(x - 2)","A",0
130,1,20,0,0.008464," ","integrate((-3+x)/(x^3+3*x^2+2*x),x, algorithm=""giac"")","-\frac{5}{2} \, \log\left({\left| x + 2 \right|}\right) + 4 \, \log\left({\left| x + 1 \right|}\right) - \frac{3}{2} \, \log\left({\left| x \right|}\right)"," ",0,"-5/2*log(abs(x + 2)) + 4*log(abs(x + 1)) - 3/2*log(abs(x))","A",0
131,1,25,0,0.007343," ","integrate(1/(x^2-1)^2,x, algorithm=""giac"")","-\frac{x}{2 \, {\left(x^{2} - 1\right)}} + \frac{1}{4} \, \log\left({\left| x + 1 \right|}\right) - \frac{1}{4} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/2*x/(x^2 - 1) + 1/4*log(abs(x + 1)) - 1/4*log(abs(x - 1))","A",0
132,1,17,0,0.007606," ","integrate((1+x)/(x^3-1),x, algorithm=""giac"")","-\frac{1}{3} \, \log\left(x^{2} + x + 1\right) + \frac{2}{3} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/3*log(x^2 + x + 1) + 2/3*log(abs(x - 1))","A",0
133,1,14,0,0.008596," ","integrate((x^4+1)/x/(x^2+1)^2,x, algorithm=""giac"")","\frac{1}{x^{2} + 1} + \frac{1}{2} \, \log\left(x^{2}\right)"," ",0,"1/(x^2 + 1) + 1/2*log(x^2)","A",0
134,1,21,0,0.006180," ","integrate(1/(x^4-2*x^3),x, algorithm=""giac"")","\frac{x + 1}{4 \, x^{2}} + \frac{1}{8} \, \log\left({\left| x - 2 \right|}\right) - \frac{1}{8} \, \log\left({\left| x \right|}\right)"," ",0,"1/4*(x + 1)/x^2 + 1/8*log(abs(x - 2)) - 1/8*log(abs(x))","A",0
135,1,17,0,0.009068," ","integrate((-x^3+1)/x/(x^2+1),x, algorithm=""giac"")","-x + \arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right) + \log\left({\left| x \right|}\right)"," ",0,"-x + arctan(x) - 1/2*log(x^2 + 1) + log(abs(x))","A",0
136,1,19,0,0.006514," ","integrate(1/(x^4-1),x, algorithm=""giac"")","-\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left({\left| x + 1 \right|}\right) + \frac{1}{4} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/2*arctan(x) - 1/4*log(abs(x + 1)) + 1/4*log(abs(x - 1))","B",0
137,1,72,0,0.008556," ","integrate(1/(x^4+1),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x + \sqrt{2}\right)}\right) + \frac{1}{4} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - \sqrt{2}\right)}\right) + \frac{1}{8} \, \sqrt{2} \log\left(x^{2} + \sqrt{2} x + 1\right) - \frac{1}{8} \, \sqrt{2} \log\left(x^{2} - \sqrt{2} x + 1\right)"," ",0,"1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*x + sqrt(2))) + 1/4*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - sqrt(2))) + 1/8*sqrt(2)*log(x^2 + sqrt(2)*x + 1) - 1/8*sqrt(2)*log(x^2 - sqrt(2)*x + 1)","A",0
138,1,15,0,0.010488," ","integrate(x^2/(x^2+2*x+2)^2,x, algorithm=""giac"")","\frac{1}{x^{2} + 2 \, x + 2} + \arctan\left(x + 1\right)"," ",0,"1/(x^2 + 2*x + 2) + arctan(x + 1)","A",0
139,1,11,0,0.019605," ","integrate((4*x^5-1)/(x^5+x+1)^2,x, algorithm=""giac"")","-\frac{x}{x^{5} + x + 1}"," ",0,"-x/(x^5 + x + 1)","A",0
140,1,47,0,0.009645," ","integrate(1/(5-cos(x)+2*sin(x)),x, algorithm=""giac"")","\frac{1}{10} \, \sqrt{5} {\left(x + 2 \, \arctan\left(-\frac{\sqrt{5} \sin\left(x\right) - \cos\left(x\right) - 3 \, \sin\left(x\right) - 1}{\sqrt{5} \cos\left(x\right) + \sqrt{5} - 3 \, \cos\left(x\right) + \sin\left(x\right) + 3}\right)\right)}"," ",0,"1/10*sqrt(5)*(x + 2*arctan(-(sqrt(5)*sin(x) - cos(x) - 3*sin(x) - 1)/(sqrt(5)*cos(x) + sqrt(5) - 3*cos(x) + sin(x) + 3)))","A",0
141,1,53,0,0.013926," ","integrate(1/(1+a*cos(x)),x, algorithm=""giac"")","-\frac{2 \, {\left(\pi \left \lfloor \frac{x}{2 \, \pi} + \frac{1}{2} \right \rfloor \mathrm{sgn}\left(2 \, a - 2\right) + \arctan\left(\frac{a \tan\left(\frac{1}{2} \, x\right) - \tan\left(\frac{1}{2} \, x\right)}{\sqrt{-a^{2} + 1}}\right)\right)}}{\sqrt{-a^{2} + 1}}"," ",0,"-2*(pi*floor(1/2*x/pi + 1/2)*sgn(2*a - 2) + arctan((a*tan(1/2*x) - tan(1/2*x))/sqrt(-a^2 + 1)))/sqrt(-a^2 + 1)","A",0
142,1,35,0,0.032285," ","integrate(1/(1+2*cos(x)),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \log\left(\frac{{\left| -2 \, \sqrt{3} + 2 \, \tan\left(\frac{1}{2} \, x\right) \right|}}{{\left| 2 \, \sqrt{3} + 2 \, \tan\left(\frac{1}{2} \, x\right) \right|}}\right)"," ",0,"-1/3*sqrt(3)*log(abs(-2*sqrt(3) + 2*tan(1/2*x))/abs(2*sqrt(3) + 2*tan(1/2*x)))","A",0
143,1,40,0,0.009033," ","integrate(1/(1+1/2*cos(x)),x, algorithm=""giac"")","\frac{2}{3} \, \sqrt{3} {\left(x + 2 \, \arctan\left(-\frac{\sqrt{3} \sin\left(x\right) - \sin\left(x\right)}{\sqrt{3} \cos\left(x\right) + \sqrt{3} - \cos\left(x\right) + 1}\right)\right)}"," ",0,"2/3*sqrt(3)*(x + 2*arctan(-(sqrt(3)*sin(x) - sin(x))/(sqrt(3)*cos(x) + sqrt(3) - cos(x) + 1)))","A",0
144,1,48,0,0.014973," ","integrate(sin(x)^2/(1+sin(x)^2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{2} {\left(x + \arctan\left(-\frac{\sqrt{2} \sin\left(2 \, x\right) - 2 \, \sin\left(2 \, x\right)}{\sqrt{2} \cos\left(2 \, x\right) + \sqrt{2} - 2 \, \cos\left(2 \, x\right) + 2}\right)\right)} + x"," ",0,"-1/2*sqrt(2)*(x + arctan(-(sqrt(2)*sin(2*x) - 2*sin(2*x))/(sqrt(2)*cos(2*x) + sqrt(2) - 2*cos(2*x) + 2))) + x","A",0
145,1,26,0,0.017478," ","integrate(1/(b^2*cos(x)^2+a^2*sin(x)^2),x, algorithm=""giac"")","\frac{\pi \left \lfloor \frac{x}{\pi} + \frac{1}{2} \right \rfloor + \arctan\left(\frac{a \tan\left(x\right)}{b}\right)}{a b}"," ",0,"(pi*floor(x/pi + 1/2) + arctan(a*tan(x)/b))/(a*b)","A",0
146,1,13,0,0.017153," ","integrate(1/(b*cos(x)+a*sin(x))^2,x, algorithm=""giac"")","-\frac{1}{{\left(a \tan\left(x\right) + b\right)} a}"," ",0,"-1/((a*tan(x) + b)*a)","A",0
147,1,25,0,0.021793," ","integrate(sin(x)/(1+cos(x)+sin(x)),x, algorithm=""giac"")","\frac{1}{2} \, x + \frac{1}{2} \, \log\left(\tan\left(\frac{1}{2} \, x\right)^{2} + 1\right) - \log\left({\left| \tan\left(\frac{1}{2} \, x\right) + 1 \right|}\right)"," ",0,"1/2*x + 1/2*log(tan(1/2*x)^2 + 1) - log(abs(tan(1/2*x) + 1))","A",0
148,1,22,0,0.013585," ","integrate((-x^2+3)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{-x^{2} + 3} x + \frac{3}{2} \, \arcsin\left(\frac{1}{3} \, \sqrt{3} x\right)"," ",0,"1/2*sqrt(-x^2 + 3)*x + 3/2*arcsin(1/3*sqrt(3)*x)","A",0
149,1,11,0,0.006855," ","integrate(x/(-x^2+3)^(1/2),x, algorithm=""giac"")","-\sqrt{-x^{2} + 3}"," ",0,"-sqrt(-x^2 + 3)","A",0
150,1,47,0,0.012017," ","integrate((-x^2+3)^(1/2)/x,x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{3} \log\left(\frac{\sqrt{3} - \sqrt{-x^{2} + 3}}{\sqrt{3} + \sqrt{-x^{2} + 3}}\right) + \sqrt{-x^{2} + 3}"," ",0,"1/2*sqrt(3)*log((sqrt(3) - sqrt(-x^2 + 3))/(sqrt(3) + sqrt(-x^2 + 3))) + sqrt(-x^2 + 3)","A",0
151,1,26,0,0.018492," ","integrate((x^2+x)^(1/2)/x,x, algorithm=""giac"")","\sqrt{x^{2} + x} - \frac{1}{2} \, \log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} + x} - 1 \right|}\right)"," ",0,"sqrt(x^2 + x) - 1/2*log(abs(-2*x + 2*sqrt(x^2 + x) - 1))","A",0
152,1,25,0,0.009043," ","integrate((x^2+5)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{x^{2} + 5} x - \frac{5}{2} \, \log\left(-x + \sqrt{x^{2} + 5}\right)"," ",0,"1/2*sqrt(x^2 + 5)*x - 5/2*log(-x + sqrt(x^2 + 5))","A",0
153,1,27,0,0.028492," ","integrate(x/(x^2+x+1)^(1/2),x, algorithm=""giac"")","\sqrt{x^{2} + x + 1} + \frac{1}{2} \, \log\left(-2 \, x + 2 \, \sqrt{x^{2} + x + 1} - 1\right)"," ",0,"sqrt(x^2 + x + 1) + 1/2*log(-2*x + 2*sqrt(x^2 + x + 1) - 1)","A",0
154,1,18,0,0.023995," ","integrate(1/(x^2+x)^(1/2),x, algorithm=""giac"")","-\log\left({\left| -2 \, x + 2 \, \sqrt{x^{2} + x} - 1 \right|}\right)"," ",0,"-log(abs(-2*x + 2*sqrt(x^2 + x) - 1))","A",0
155,1,168,0,0.037472," ","integrate((-x^2-x+2)^(1/2)/x^2,x, algorithm=""giac"")","-\frac{1}{4} \, \sqrt{2} \log\left(\frac{{\left| -4 \, \sqrt{2} + \frac{2 \, {\left(2 \, \sqrt{-x^{2} - x + 2} - 3\right)}}{2 \, x + 1} + 6 \right|}}{{\left| 4 \, \sqrt{2} + \frac{2 \, {\left(2 \, \sqrt{-x^{2} - x + 2} - 3\right)}}{2 \, x + 1} + 6 \right|}}\right) + \frac{6 \, {\left(\frac{3 \, {\left(2 \, \sqrt{-x^{2} - x + 2} - 3\right)}}{2 \, x + 1} + 1\right)}}{\frac{6 \, {\left(2 \, \sqrt{-x^{2} - x + 2} - 3\right)}}{2 \, x + 1} + \frac{{\left(2 \, \sqrt{-x^{2} - x + 2} - 3\right)}^{2}}{{\left(2 \, x + 1\right)}^{2}} + 1} - \arcsin\left(\frac{2}{3} \, x + \frac{1}{3}\right)"," ",0,"-1/4*sqrt(2)*log(abs(-4*sqrt(2) + 2*(2*sqrt(-x^2 - x + 2) - 3)/(2*x + 1) + 6)/abs(4*sqrt(2) + 2*(2*sqrt(-x^2 - x + 2) - 3)/(2*x + 1) + 6)) + 6*(3*(2*sqrt(-x^2 - x + 2) - 3)/(2*x + 1) + 1)/(6*(2*sqrt(-x^2 - x + 2) - 3)/(2*x + 1) + (2*sqrt(-x^2 - x + 2) - 3)^2/(2*x + 1)^2 + 1) - arcsin(2/3*x + 1/3)","B",0
156,-2,0,0,0.000000," ","integrate(log(t)/(1+t),t, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: integrate((t+1)^-1*ln(t),t)","F(-2)",0
157,1,2,0,0.003256," ","integrate(log(exp(cos(x))),x, algorithm=""giac"")","\sin\left(x\right)"," ",0,"sin(x)","A",0
158,1,2,0,0.003844," ","integrate(exp(t)/t,t, algorithm=""giac"")","{\rm Ei}\left(t\right)"," ",0,"Ei(t)","A",0
159,1,4,0,0.004970," ","integrate(exp(a*t)/t,t, algorithm=""giac"")","{\rm Ei}\left(a t\right)"," ",0,"Ei(a*t)","A",0
160,1,13,0,0.007124," ","integrate(exp(t)/t^2,t, algorithm=""giac"")","\frac{t {\rm Ei}\left(t\right) - e^{t}}{t}"," ",0,"(t*Ei(t) - e^t)/t","A",0
161,1,18,0,0.008648," ","integrate(exp(1/t),t, algorithm=""giac"")","-t {\left(\frac{{\rm Ei}\left(\frac{1}{t}\right)}{t} - e^{\frac{1}{t}}\right)}"," ",0,"-t*(Ei(1/t)/t - e^(1/t))","A",0
162,1,14,0,0.008873," ","integrate(1/exp(t)/(-1-a+t),t, algorithm=""giac"")","{\rm Ei}\left(a - t + 1\right) e^{\left(-a - 1\right)}"," ",0,"Ei(a - t + 1)*e^(-a - 1)","A",0
163,1,10,0,0.007051," ","integrate(exp(t^2)*t/(t^2+1),t, algorithm=""giac"")","\frac{1}{2} \, {\rm Ei}\left(t^{2} + 1\right) e^{\left(-1\right)}"," ",0,"1/2*Ei(t^2 + 1)*e^(-1)","A",0
164,1,80,0,0.011575," ","integrate(exp(t)/(1+t)^2,t, algorithm=""giac"")","\frac{{\left(t + 1\right)} {\left(\frac{1}{t + 1} - 1\right)} {\rm Ei}\left(-{\left(t + 1\right)} {\left(\frac{1}{t + 1} - 1\right)} + 1\right) - {\rm Ei}\left(-{\left(t + 1\right)} {\left(\frac{1}{t + 1} - 1\right)} + 1\right) + e^{\left(-{\left(t + 1\right)} {\left(\frac{1}{t + 1} - 1\right)} + 1\right)}}{{\left(t + 1\right)} {\left(\frac{1}{t + 1} - 1\right)} e - e}"," ",0,"((t + 1)*(1/(t + 1) - 1)*Ei(-(t + 1)*(1/(t + 1) - 1) + 1) - Ei(-(t + 1)*(1/(t + 1) - 1) + 1) + e^(-(t + 1)*(1/(t + 1) - 1) + 1))/((t + 1)*(1/(t + 1) - 1)*e - e)","B",0
165,1,16,0,0.007316," ","integrate(exp(t)*log(1+t),t, algorithm=""giac"")","-{\rm Ei}\left(t + 1\right) e^{\left(-1\right)} + e^{t} \log\left(t + 1\right)"," ",0,"-Ei(t + 1)*e^(-1) + e^t*log(t + 1)","A",0
166,1,9,0,0.005875," ","integrate(t/exp(t),t, algorithm=""giac"")","-{\left(t + 1\right)} e^{\left(-t\right)}"," ",0,"-(t + 1)*e^(-t)","A",0
167,1,14,0,0.007364," ","integrate(t^2/exp(t),t, algorithm=""giac"")","-{\left(t^{2} + 2 \, t + 2\right)} e^{\left(-t\right)}"," ",0,"-(t^2 + 2*t + 2)*e^(-t)","A",0
168,1,19,0,0.007433," ","integrate(t^3/exp(t),t, algorithm=""giac"")","-{\left(t^{3} + 3 \, t^{2} + 6 \, t + 6\right)} e^{\left(-t\right)}"," ",0,"-(t^3 + 3*t^2 + 6*t + 6)*e^(-t)","A",0
169,1,77,0,0.046141," ","integrate((b1*cos(x)+a1*sin(x))/(b*cos(x)+a*sin(x)),x, algorithm=""giac"")","\frac{{\left(a a_{1} + b b_{1}\right)} x}{a^{2} + b^{2}} + \frac{{\left(a_{1} b - a b_{1}\right)} \log\left(\tan\left(x\right)^{2} + 1\right)}{2 \, {\left(a^{2} + b^{2}\right)}} - \frac{{\left(a a_{1} b - a^{2} b_{1}\right)} \log\left({\left| a \tan\left(x\right) + b \right|}\right)}{a^{3} + a b^{2}}"," ",0,"(a*a1 + b*b1)*x/(a^2 + b^2) + 1/2*(a1*b - a*b1)*log(tan(x)^2 + 1)/(a^2 + b^2) - (a*a1*b - a^2*b1)*log(abs(a*tan(x) + b))/(a^3 + a*b^2)","A",0
170,1,3,0,0.005801," ","integrate(1/log(t),t, algorithm=""giac"")","{\rm Ei}\left(\log\left(t\right)\right)"," ",0,"Ei(log(t))","A",0
171,1,11,0,0.006477," ","integrate(1/log(t)^2,t, algorithm=""giac"")","-\frac{t}{\log\left(t\right)} + {\rm Ei}\left(\log\left(t\right)\right)"," ",0,"-t/log(t) + Ei(log(t))","A",0
172,-2,0,0,0.000000," ","integrate(log(t)^(-1-n),t, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: integrate(ln(t)^(-n-1)*t/t,t)","F(-2)",0
173,1,9,0,0.007597," ","integrate(exp(2*t)/(-1+t),t, algorithm=""giac"")","{\rm Ei}\left(2 \, t - 2\right) e^{2}"," ",0,"Ei(2*t - 2)*e^2","A",0
174,1,20,0,0.010401," ","integrate(exp(2*x)/(x^2-3*x+2),x, algorithm=""giac"")","{\rm Ei}\left(2 \, x - 4\right) e^{4} - {\rm Ei}\left(2 \, x - 2\right) e^{2}"," ",0,"Ei(2*x - 4)*e^4 - Ei(2*x - 2)*e^2","A",0
175,-2,0,0,0.000000," ","integrate(1/(t^3+1)^(1/2),t, algorithm=""giac"")","\text{Exception raised: NotImplementedError}"," ",0,"Exception raised: NotImplementedError >> Unable to parse Giac output: integrate(1/sqrt(t^3+1),t)","F(-2)",0
