1,1,9,0,0.555745," ","integrate((1+2*x)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"1/3*(2*x + 1)^(3/2)","A",0
2,1,19,0,0.461385," ","integrate(x*(1+3*x)^(1/2),x, algorithm=""maxima"")","\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
3,1,22,0,0.545525," ","integrate(x^2*(1+x)^(1/2),x, algorithm=""maxima"")","\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
4,1,19,0,0.501224," ","integrate(x/(2-3*x)^(1/2),x, algorithm=""maxima"")","\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
5,1,12,0,0.439208," ","integrate((1+x)/(x^2+2*x+2)^3,x, algorithm=""maxima"")","-\frac{1}{4 \, {\left(x^{2} + 2 \, x + 2\right)}^{2}}"," ",0,"-1/4/(x^2 + 2*x + 2)^2","A",0
6,1,11,0,0.497408," ","integrate(sin(x)^3,x, algorithm=""maxima"")","\frac{1}{3} \, \cos\left(x\right)^{3} - \cos\left(x\right)"," ",0,"1/3*cos(x)^3 - cos(x)","A",0
7,1,15,0,0.708452," ","integrate((-1+z)^(1/3)*z,z, algorithm=""maxima"")","\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
8,1,6,0,0.488594," ","integrate(cos(x)/sin(x)^3,x, algorithm=""maxima"")","-\frac{1}{2 \, \sin\left(x\right)^{2}}"," ",0,"-1/2/sin(x)^2","A",0
9,1,12,0,0.566535," ","integrate(cos(2*x)*(4-sin(2*x))^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, {\left(-\sin\left(2 \, x\right) + 4\right)}^{\frac{3}{2}}"," ",0,"-1/3*(-sin(2*x) + 4)^(3/2)","A",0
10,1,6,0,0.698189," ","integrate(sin(x)/(3+cos(x))^2,x, algorithm=""maxima"")","\frac{1}{\cos\left(x\right) + 3}"," ",0,"1/(cos(x) + 3)","A",0
11,1,10,0,0.636499," ","integrate(sin(x)/(cos(x)^3)^(1/2),x, algorithm=""maxima"")","\frac{2 \, \cos\left(x\right)}{\sqrt{\cos\left(x\right)^{3}}}"," ",0,"2*cos(x)/sqrt(cos(x)^3)","A",0
12,1,8,0,0.519665," ","integrate(sin((1+x)^(1/2))/(1+x)^(1/2),x, algorithm=""maxima"")","-2 \, \cos\left(\sqrt{x + 1}\right)"," ",0,"-2*cos(sqrt(x + 1))","A",0
13,1,9,0,0.790758," ","integrate(x^(-1+n)*sin(x^n),x, algorithm=""maxima"")","-\frac{\cos\left(x^{n}\right)}{n}"," ",0,"-cos(x^n)/n","A",0
14,1,11,0,0.456933," ","integrate(x^5/(-x^6+1)^(1/2),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{-x^{6} + 1}"," ",0,"-1/3*sqrt(-x^6 + 1)","A",0
15,1,15,0,0.499424," ","integrate(t*(1+t)^(1/4),t, algorithm=""maxima"")","\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
16,1,9,0,0.466739," ","integrate(1/(x^2+1)^(3/2),x, algorithm=""maxima"")","\frac{x}{\sqrt{x^{2} + 1}}"," ",0,"x/sqrt(x^2 + 1)","A",0
17,1,11,0,0.533196," ","integrate(x^2*(8*x^3+27)^(2/3),x, algorithm=""maxima"")","\frac{1}{40} \, {\left(8 \, x^{3} + 27\right)}^{\frac{5}{3}}"," ",0,"1/40*(8*x^3 + 27)^(5/3)","A",0
18,1,11,0,0.716580," ","integrate((cos(x)+sin(x))/(-cos(x)+sin(x))^(1/3),x, algorithm=""maxima"")","\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
19,0,0,0,0.000000," ","integrate(x/(1+x^2+(x^2+1)^(3/2))^(1/2),x, algorithm=""maxima"")","\int \frac{x}{\sqrt{x^{2} + {\left(x^{2} + 1\right)}^{\frac{3}{2}} + 1}}\,{d x}"," ",0,"integrate(x/sqrt(x^2 + (x^2 + 1)^(3/2) + 1), x)","F",0
20,1,13,0,0.589129," ","integrate(x/(x^2+1)^(1/2)/((x^2+1)^(1/2)+1)^(1/2),x, algorithm=""maxima"")","2 \, \sqrt{\sqrt{x^{2} + 1} + 1}"," ",0,"2*sqrt(sqrt(x^2 + 1) + 1)","A",0
21,1,7,0,0.548792," ","integrate((x^2-2*x+1)^(1/5)/(1-x),x, algorithm=""maxima"")","-\frac{5}{2} \, {\left(x - 1\right)}^{\frac{2}{5}}"," ",0,"-5/2*(x - 1)^(2/5)","A",0
22,1,8,0,0.524485," ","integrate(x*sin(x),x, algorithm=""maxima"")","-x \cos\left(x\right) + \sin\left(x\right)"," ",0,"-x*cos(x) + sin(x)","A",0
23,1,15,0,0.561673," ","integrate(x^2*sin(x),x, algorithm=""maxima"")","-{\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
24,1,20,0,0.641415," ","integrate(x^3*cos(x),x, algorithm=""maxima"")","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
25,1,21,0,0.535510," ","integrate(x^3*sin(x),x, algorithm=""maxima"")","-{\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
26,1,6,0,0.627321," ","integrate(cos(x)*sin(x),x, algorithm=""maxima"")","-\frac{1}{2} \, \cos\left(x\right)^{2}"," ",0,"-1/2*cos(x)^2","A",0
27,1,14,0,0.512756," ","integrate(x*cos(x)*sin(x),x, algorithm=""maxima"")","-\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
28,1,10,0,0.570869," ","integrate(sin(x)^2,x, algorithm=""maxima"")","\frac{1}{2} \, x - \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"1/2*x - 1/4*sin(2*x)","A",0
29,1,11,0,0.582485," ","integrate(sin(x)^3,x, algorithm=""maxima"")","\frac{1}{3} \, \cos\left(x\right)^{3} - \cos\left(x\right)"," ",0,"1/3*cos(x)^3 - cos(x)","A",0
30,1,16,0,0.493919," ","integrate(sin(x)^4,x, algorithm=""maxima"")","\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
31,1,17,0,0.510819," ","integrate(sin(x)^5,x, algorithm=""maxima"")","-\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
32,1,24,0,0.623824," ","integrate(sin(x)^6,x, algorithm=""maxima"")","\frac{1}{48} \, \sin\left(2 \, x\right)^{3} + \frac{5}{16} \, x + \frac{3}{64} \, \sin\left(4 \, x\right) - \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"1/48*sin(2*x)^3 + 5/16*x + 3/64*sin(4*x) - 1/4*sin(2*x)","A",0
33,1,19,0,0.499595," ","integrate(x*sin(x)^2,x, algorithm=""maxima"")","\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
34,1,23,0,0.566679," ","integrate(x*sin(x)^3,x, algorithm=""maxima"")","\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
35,1,26,0,0.498075," ","integrate(x^2*sin(x)^2,x, algorithm=""maxima"")","\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
36,1,10,0,0.517385," ","integrate(cos(x)^2,x, algorithm=""maxima"")","\frac{1}{2} \, x + \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"1/2*x + 1/4*sin(2*x)","A",0
37,1,9,0,0.577549," ","integrate(cos(x)^3,x, algorithm=""maxima"")","-\frac{1}{3} \, \sin\left(x\right)^{3} + \sin\left(x\right)"," ",0,"-1/3*sin(x)^3 + sin(x)","A",0
38,1,16,0,0.539252," ","integrate(cos(x)^4,x, algorithm=""maxima"")","\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
39,1,60,0,1.308849," ","integrate((a^2-x^2)^(5/2),x, algorithm=""maxima"")","\frac{5}{16} \, a^{6} \arcsin\left(\frac{x}{a}\right) + \frac{5}{16} \, \sqrt{a^{2} - x^{2}} a^{4} x + \frac{5}{24} \, {\left(a^{2} - x^{2}\right)}^{\frac{3}{2}} a^{2} x + \frac{1}{6} \, {\left(a^{2} - x^{2}\right)}^{\frac{5}{2}} x"," ",0,"5/16*a^6*arcsin(x/a) + 5/16*sqrt(a^2 - x^2)*a^4*x + 5/24*(a^2 - x^2)^(3/2)*a^2*x + 1/6*(a^2 - x^2)^(5/2)*x","A",0
40,1,34,0,1.427114," ","integrate(x^5/(x^2+5)^(1/2),x, algorithm=""maxima"")","\frac{1}{5} \, \sqrt{x^{2} + 5} x^{4} - \frac{4}{3} \, \sqrt{x^{2} + 5} x^{2} + \frac{40}{3} \, \sqrt{x^{2} + 5}"," ",0,"1/5*sqrt(x^2 + 5)*x^4 - 4/3*sqrt(x^2 + 5)*x^2 + 40/3*sqrt(x^2 + 5)","A",0
41,0,0,0,0.000000," ","integrate(t^3/(t^3+4)^(1/2),t, algorithm=""maxima"")","\int \frac{t^{3}}{\sqrt{t^{3} + 4}}\,{d t}"," ",0,"integrate(t^3/sqrt(t^3 + 4), t)","F",0
42,1,6,0,1.220165," ","integrate(tan(x)^2,x, algorithm=""maxima"")","-x + \tan\left(x\right)"," ",0,"-x + tan(x)","A",0
43,1,12,0,1.274467," ","integrate(tan(x)^4,x, algorithm=""maxima"")","\frac{1}{3} \, \tan\left(x\right)^{3} + x - \tan\left(x\right)"," ",0,"1/3*tan(x)^3 + x - tan(x)","A",0
44,1,10,0,1.272015," ","integrate(cot(x)^2,x, algorithm=""maxima"")","-x - \frac{1}{\tan\left(x\right)}"," ",0,"-x - 1/tan(x)","A",0
45,1,16,0,1.276673," ","integrate(cot(x)^4,x, algorithm=""maxima"")","x + \frac{3 \, \tan\left(x\right)^{2} - 1}{3 \, \tan\left(x\right)^{3}}"," ",0,"x + 1/3*(3*tan(x)^2 - 1)/tan(x)^3","A",0
46,1,20,0,0.535589," ","integrate((2+3*x)*sin(5*x),x, algorithm=""maxima"")","-\frac{3}{5} \, x \cos\left(5 \, x\right) - \frac{2}{5} \, \cos\left(5 \, x\right) + \frac{3}{25} \, \sin\left(5 \, x\right)"," ",0,"-3/5*x*cos(5*x) - 2/5*cos(5*x) + 3/25*sin(5*x)","A",0
47,1,9,0,0.437577," ","integrate(x*(x^2+1)^(1/2),x, algorithm=""maxima"")","\frac{1}{3} \, {\left(x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"1/3*(x^2 + 1)^(3/2)","A",0
48,1,9,0,0.463652," ","integrate(x*(x^2-1)^9,x, algorithm=""maxima"")","\frac{1}{20} \, {\left(x^{2} - 1\right)}^{10}"," ",0,"1/20*(x^2 - 1)^10","A",0
49,1,19,0,0.576161," ","integrate((3+2*x)/(7+6*x)^3,x, algorithm=""maxima"")","-\frac{3 \, x + 4}{9 \, {\left(36 \, x^{2} + 84 \, x + 49\right)}}"," ",0,"-1/9*(3*x + 4)/(36*x^2 + 84*x + 49)","A",0
50,1,9,0,0.523893," ","integrate(x^4*(x^5+1)^5,x, algorithm=""maxima"")","\frac{1}{30} \, {\left(x^{5} + 1\right)}^{6}"," ",0,"1/30*(x^5 + 1)^6","A",0
51,1,106,0,0.610136," ","integrate((1-x)^20*x^4,x, algorithm=""maxima"")","\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
52,1,4,0,0.607884," ","integrate(sin(1/x)/x^2,x, algorithm=""maxima"")","\cos\left(\frac{1}{x}\right)"," ",0,"cos(1/x)","A",0
53,1,37,0,0.528360," ","integrate(sin((-1+x)^(1/4)),x, algorithm=""maxima"")","-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
54,1,8,0,0.531432," ","integrate(x*cos(x^2)*sin(x^2),x, algorithm=""maxima"")","-\frac{1}{4} \, \cos\left(x^{2}\right)^{2}"," ",0,"-1/4*cos(x^2)^2","A",0
55,1,12,0,0.478452," ","integrate(sin(2*x)*(1+3*cos(x)^2)^(1/2),x, algorithm=""maxima"")","-\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
56,1,8,0,0.543084," ","integrate(1/(2+3*x),x, algorithm=""maxima"")","\frac{1}{3} \, \log\left(3 \, x + 2\right)"," ",0,"1/3*log(3*x + 2)","A",0
57,1,12,0,0.518225," ","integrate(log(x)^2,x, algorithm=""maxima"")","{\left(\log\left(x\right)^{2} - 2 \, \log\left(x\right) + 2\right)} x"," ",0,"(log(x)^2 - 2*log(x) + 2)*x","A",0
58,1,13,0,0.501841," ","integrate(x*log(x),x, algorithm=""maxima"")","\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
59,1,17,0,0.537983," ","integrate(x*log(x)^2,x, algorithm=""maxima"")","\frac{1}{4} \, {\left(2 \, \log\left(x\right)^{2} - 2 \, \log\left(x\right) + 1\right)} x^{2}"," ",0,"1/4*(2*log(x)^2 - 2*log(x) + 1)*x^2","A",0
60,1,4,0,0.529235," ","integrate(1/(1+t),t, algorithm=""maxima"")","\log\left(t + 1\right)"," ",0,"log(t + 1)","A",0
61,1,3,0,0.482910," ","integrate(cot(x),x, algorithm=""maxima"")","\log\left(\sin\left(x\right)\right)"," ",0,"log(sin(x))","A",0
62,1,28,0,0.583997," ","integrate(x^n*log(a*x),x, algorithm=""maxima"")","\frac{x^{n + 1} \log\left(a x\right)}{n + 1} - \frac{x^{n + 1}}{{\left(n + 1\right)}^{2}}"," ",0,"x^(n + 1)*log(a*x)/(n + 1) - x^(n + 1)/(n + 1)^2","A",0
63,1,17,0,0.521936," ","integrate(x^2*log(x)^2,x, algorithm=""maxima"")","\frac{1}{27} \, {\left(9 \, \log\left(x\right)^{2} - 6 \, \log\left(x\right) + 2\right)} x^{3}"," ",0,"1/27*(9*log(x)^2 - 6*log(x) + 2)*x^3","A",0
64,1,3,0,0.457658," ","integrate(1/x/log(x),x, algorithm=""maxima"")","\log\left(\log\left(x\right)\right)"," ",0,"log(log(x))","A",0
65,1,10,0,0.555951," ","integrate(log(1-t)/(1-t),t, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(-t + 1\right)^{2}"," ",0,"-1/2*log(-t + 1)^2","A",0
66,1,17,0,0.595572," ","integrate(log(x)/x/(1+log(x))^(1/2),x, algorithm=""maxima"")","\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
67,1,23,0,0.509893," ","integrate(x^3*log(x)^3,x, algorithm=""maxima"")","\frac{1}{128} \, {\left(32 \, \log\left(x\right)^{3} - 24 \, \log\left(x\right)^{2} + 12 \, \log\left(x\right) - 3\right)} x^{4}"," ",0,"1/128*(32*log(x)^3 - 24*log(x)^2 + 12*log(x) - 3)*x^4","A",0
68,1,6,0,0.487705," ","integrate(exp(x^3)*x^2,x, algorithm=""maxima"")","\frac{1}{3} \, e^{\left(x^{3}\right)}"," ",0,"1/3*e^(x^3)","A",0
69,1,12,0,0.581126," ","integrate(2^(x^(1/2))/x^(1/2),x, algorithm=""maxima"")","\frac{2^{\sqrt{x} + 1}}{\log\left(2\right)}"," ",0,"2^(sqrt(x) + 1)/log(2)","A",0
70,1,7,0,0.635054," ","integrate(exp(2*sin(x))*cos(x),x, algorithm=""maxima"")","\frac{1}{2} \, e^{\left(2 \, \sin\left(x\right)\right)}"," ",0,"1/2*e^(2*sin(x))","A",0
71,1,11,0,0.527691," ","integrate(exp(x)*sin(x),x, algorithm=""maxima"")","-\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
72,1,9,0,0.505443," ","integrate(exp(x)*cos(x),x, algorithm=""maxima"")","\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
73,1,9,0,0.566990," ","integrate(1/(1+exp(x)),x, algorithm=""maxima"")","x - \log\left(e^{x} + 1\right)"," ",0,"x - log(e^x + 1)","A",0
74,1,6,0,0.570269," ","integrate(exp(x)*x,x, algorithm=""maxima"")","{\left(x - 1\right)} e^{x}"," ",0,"(x - 1)*e^x","A",0
75,1,9,0,0.514724," ","integrate(x/exp(x),x, algorithm=""maxima"")","-{\left(x + 1\right)} e^{\left(-x\right)}"," ",0,"-(x + 1)*e^(-x)","A",0
76,1,11,0,0.531866," ","integrate(exp(x)*x^2,x, algorithm=""maxima"")","{\left(x^{2} - 2 \, x + 2\right)} e^{x}"," ",0,"(x^2 - 2*x + 2)*e^x","A",0
77,1,16,0,0.654686," ","integrate(x^2/exp(2*x),x, algorithm=""maxima"")","-\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
78,1,11,0,0.542740," ","integrate(exp(x^(1/2)),x, algorithm=""maxima"")","2 \, {\left(\sqrt{x} - 1\right)} e^{\sqrt{x}}"," ",0,"2*(sqrt(x) - 1)*e^sqrt(x)","A",0
79,1,13,0,0.511591," ","integrate(x^3/exp(x^2),x, algorithm=""maxima"")","-\frac{1}{2} \, {\left(x^{2} + 1\right)} e^{\left(-x^{2}\right)}"," ",0,"-1/2*(x^2 + 1)*e^(-x^2)","A",0
80,1,27,0,0.478092," ","integrate(exp(a*x)*cos(b*x),x, algorithm=""maxima"")","\frac{{\left(a \cos\left(b x\right) + b \sin\left(b x\right)\right)} e^{\left(a x\right)}}{a^{2} + b^{2}}"," ",0,"(a*cos(b*x) + b*sin(b*x))*e^(a*x)/(a^2 + b^2)","A",0
81,1,29,0,0.530552," ","integrate(exp(a*x)*sin(b*x),x, algorithm=""maxima"")","-\frac{{\left(b \cos\left(b x\right) - a \sin\left(b x\right)\right)} e^{\left(a x\right)}}{a^{2} + b^{2}}"," ",0,"-(b*cos(b*x) - a*sin(b*x))*e^(a*x)/(a^2 + b^2)","A",0
82,1,13,0,0.540373," ","integrate(arccot(x),x, algorithm=""maxima"")","x \operatorname{arccot}\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"x*arccot(x) + 1/2*log(x^2 + 1)","A",0
83,1,35,0,0.472916," ","integrate(arcsec(x),x, algorithm=""maxima"")","x \operatorname{arcsec}\left(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*arcsec(x) - 1/2*log(sqrt(-1/x^2 + 1) + 1) + 1/2*log(-sqrt(-1/x^2 + 1) + 1)","B",0
84,1,35,0,0.599787," ","integrate(arccsc(x),x, algorithm=""maxima"")","x \operatorname{arccsc}\left(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*arccsc(x) + 1/2*log(sqrt(-1/x^2 + 1) + 1) - 1/2*log(-sqrt(-1/x^2 + 1) + 1)","B",0
85,1,23,0,1.130078," ","integrate(arcsin(x)^2,x, algorithm=""maxima"")","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
86,1,33,0,1.225471," ","integrate(arcsin(x)/x^2,x, algorithm=""maxima"")","-\frac{\arcsin\left(x\right)}{x} - \log\left(\frac{2 \, \sqrt{-x^{2} + 1}}{{\left| x \right|}} + \frac{2}{{\left| x \right|}}\right)"," ",0,"-arcsin(x)/x - log(2*sqrt(-x^2 + 1)/abs(x) + 2/abs(x))","A",0
87,1,6,0,1.224875," ","integrate(1/(a^2-x^2)^(1/2),x, algorithm=""maxima"")","\arcsin\left(\frac{x}{a}\right)"," ",0,"arcsin(x/a)","A",0
88,1,11,0,1.361328," ","integrate(1/(-x^2-2*x+1)^(1/2),x, algorithm=""maxima"")","-\arcsin\left(-\frac{1}{2} \, \sqrt{2} {\left(x + 1\right)}\right)"," ",0,"-arcsin(-1/2*sqrt(2)*(x + 1))","A",0
89,1,10,0,1.373752," ","integrate(1/(a^2+x^2),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{x}{a}\right)}{a}"," ",0,"arctan(x/a)/a","A",0
90,1,15,0,1.489592," ","integrate(1/(b*x^2+a),x, algorithm=""maxima"")","\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
91,1,16,0,1.422463," ","integrate(1/(x^2-x+2),x, algorithm=""maxima"")","\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
92,1,15,0,1.298680," ","integrate(x*arctan(x),x, algorithm=""maxima"")","\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
93,1,33,0,1.267976," ","integrate(x^2*arccos(x),x, algorithm=""maxima"")","\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
94,1,34,0,1.260784," ","integrate(x*arctan(x)^2,x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} \arctan\left(x\right)^{2} - {\left(x - \arctan\left(x\right)\right)} \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))*arctan(x) - 1/2*arctan(x)^2 + 1/2*log(x^2 + 1)","A",0
95,1,16,0,1.130157," ","integrate(arctan(x^(1/2)),x, algorithm=""maxima"")","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
96,1,6,0,0.534745," ","integrate(arctan(x^(1/2))/(1+x)/x^(1/2),x, algorithm=""maxima"")","\arctan\left(\sqrt{x}\right)^{2}"," ",0,"arctan(sqrt(x))^2","A",0
97,1,17,0,1.344088," ","integrate((-x^2+1)^(1/2),x, algorithm=""maxima"")","\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
98,0,0,0,0.000000," ","integrate(exp(arctan(x))*x/(x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{x e^{\arctan\left(x\right)}}{{\left(x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(x*e^arctan(x)/(x^2 + 1)^(3/2), x)","F",0
99,0,0,0,0.000000," ","integrate(exp(arctan(x))/(x^2+1)^(3/2),x, algorithm=""maxima"")","\int \frac{e^{\arctan\left(x\right)}}{{\left(x^{2} + 1\right)}^{\frac{3}{2}}}\,{d x}"," ",0,"integrate(e^arctan(x)/(x^2 + 1)^(3/2), x)","F",0
100,1,15,0,1.123633," ","integrate(x^2/(x^2+1)^2,x, algorithm=""maxima"")","-\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
101,1,3,0,1.114399," ","integrate(exp(x)/(1+exp(2*x)),x, algorithm=""maxima"")","\arctan\left(e^{x}\right)"," ",0,"arctan(e^x)","A",0
102,1,19,0,0.508454," ","integrate(arccot(exp(x))/exp(x),x, algorithm=""maxima"")","-\operatorname{arccot}\left(e^{x}\right) e^{\left(-x\right)} + \frac{1}{2} \, \log\left(e^{\left(-2 \, x\right)} + 1\right)"," ",0,"-arccot(e^x)*e^(-x) + 1/2*log(e^(-2*x) + 1)","A",0
103,1,49,0,1.180590," ","integrate(((a+x)/(a-x))^(1/2),x, algorithm=""maxima"")","-2 \, a {\left(\frac{\sqrt{\frac{a + x}{a - x}}}{\frac{a + x}{a - x} + 1} - \arctan\left(\sqrt{\frac{a + x}{a - x}}\right)\right)}"," ",0,"-2*a*(sqrt((a + x)/(a - x))/((a + x)/(a - x) + 1) - arctan(sqrt((a + x)/(a - x))))","A",0
104,-2,0,0,0.000000," ","integrate(((b-x)*(-a+x))^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a zero or nonzero?","F(-2)",0
105,-2,0,0,0.000000," ","integrate(1/((b-x)*(-a+x))^(1/2),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(b-a>0)', see `assume?` for more details)Is b-a zero or nonzero?","F(-2)",0
106,1,13,0,0.434120," ","integrate((3+5*x)/(x^2+2*x-3),x, algorithm=""maxima"")","3 \, \log\left(x + 3\right) + 2 \, \log\left(x - 1\right)"," ",0,"3*log(x + 3) + 2*log(x - 1)","A",0
107,1,13,0,0.470778," ","integrate((5+2*x)/(x^2+2*x-3),x, algorithm=""maxima"")","\frac{1}{4} \, \log\left(x + 3\right) + \frac{7}{4} \, \log\left(x - 1\right)"," ",0,"1/4*log(x + 3) + 7/4*log(x - 1)","A",0
108,1,19,0,0.480733," ","integrate((x^3+3*x)/(x^2-2*x-3),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} + 2 \, x + \log\left(x + 1\right) + 9 \, \log\left(x - 3\right)"," ",0,"1/2*x^2 + 2*x + log(x + 1) + 9*log(x - 3)","A",0
109,1,17,0,0.507102," ","integrate((2*x^2+5*x-1)/(x^3+x^2-2*x),x, algorithm=""maxima"")","-\frac{1}{2} \, \log\left(x + 2\right) + 2 \, \log\left(x - 1\right) + \frac{1}{2} \, \log\left(x\right)"," ",0,"-1/2*log(x + 2) + 2*log(x - 1) + 1/2*log(x)","A",0
110,1,18,0,0.454041," ","integrate((x^2+2*x+3)/(-1+x)/(1+x)^2,x, algorithm=""maxima"")","\frac{1}{x + 1} - \frac{1}{2} \, \log\left(x + 1\right) + \frac{3}{2} \, \log\left(x - 1\right)"," ",0,"1/(x + 1) - 1/2*log(x + 1) + 3/2*log(x - 1)","A",0
111,1,28,0,1.172004," ","integrate((3*x^2+2*x-2)/(x^3-1),x, algorithm=""maxima"")","\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(x - 1\right)"," ",0,"4/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + log(x^2 + x + 1) + log(x - 1)","A",0
112,1,36,0,1.295865," ","integrate((x^4-x^3+2*x^2-x+2)/(-1+x)/(x^2+2)^2,x, algorithm=""maxima"")","-\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(x - 1\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(x - 1)","A",0
113,1,39,0,1.239022," ","integrate(1/(cos(x)+sin(x)),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{2} \log\left(-\frac{\sqrt{2} - \frac{\sin\left(x\right)}{\cos\left(x\right) + 1} + 1}{\sqrt{2} + \frac{\sin\left(x\right)}{\cos\left(x\right) + 1} - 1}\right)"," ",0,"-1/2*sqrt(2)*log(-(sqrt(2) - sin(x)/(cos(x) + 1) + 1)/(sqrt(2) + sin(x)/(cos(x) + 1) - 1))","B",0
114,1,14,0,0.620668," ","integrate(x/(4-x^2+(-x^2+4)^(1/2)),x, algorithm=""maxima"")","-\log\left(\sqrt{-x^{2} + 4} + 1\right)"," ",0,"-log(sqrt(-x^2 + 4) + 1)","A",0
115,1,9,0,0.574371," ","integrate((3+2*x)/(-2+x)/(5+x),x, algorithm=""maxima"")","\log\left(x + 5\right) + \log\left(x - 2\right)"," ",0,"log(x + 5) + log(x - 2)","A",0
116,1,19,0,0.470738," ","integrate(x/(1+x)/(2+x)/(3+x),x, algorithm=""maxima"")","-\frac{3}{2} \, \log\left(x + 3\right) + 2 \, \log\left(x + 2\right) - \frac{1}{2} \, \log\left(x + 1\right)"," ",0,"-3/2*log(x + 3) + 2*log(x + 2) - 1/2*log(x + 1)","A",0
117,1,20,0,0.606199," ","integrate(x/(x^3-3*x+2),x, algorithm=""maxima"")","-\frac{1}{3 \, {\left(x - 1\right)}} - \frac{2}{9} \, \log\left(x + 2\right) + \frac{2}{9} \, \log\left(x - 1\right)"," ",0,"-1/3/(x - 1) - 2/9*log(x + 2) + 2/9*log(x - 1)","A",0
118,1,23,0,0.503672," ","integrate((x^4+2*x-6)/(x^3+x^2-2*x),x, algorithm=""maxima"")","\frac{1}{2} \, x^{2} - x + \log\left(x + 2\right) - \log\left(x - 1\right) + 3 \, \log\left(x\right)"," ",0,"1/2*x^2 - x + log(x + 2) - log(x - 1) + 3*log(x)","A",0
119,1,20,0,0.601169," ","integrate((8*x^3+7)/(1+x)/(1+2*x)^3,x, algorithm=""maxima"")","\frac{6 \, x}{4 \, x^{2} + 4 \, x + 1} + \log\left(x + 1\right)"," ",0,"6*x/(4*x^2 + 4*x + 1) + log(x + 1)","A",0
120,1,14,0,1.121140," ","integrate((4*x^2+x+1)/(x^3-1),x, algorithm=""maxima"")","\log\left(x^{2} + x + 1\right) + 2 \, \log\left(x - 1\right)"," ",0,"log(x^2 + x + 1) + 2*log(x - 1)","A",0
121,1,12,0,1.136380," ","integrate(x^4/(x^4+5*x^2+4),x, algorithm=""maxima"")","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
122,1,11,0,0.489404," ","integrate((2+x)/(x^2+x),x, algorithm=""maxima"")","-\log\left(x + 1\right) + 2 \, \log\left(x\right)"," ",0,"-log(x + 1) + 2*log(x)","A",0
123,1,24,0,0.564696," ","integrate(1/x/(x^2+1)^2,x, algorithm=""maxima"")","\frac{1}{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 + 1) - 1/2*log(x^2 + 1) + 1/2*log(x^2)","A",0
124,1,46,0,0.521150," ","integrate(1/(1+x)/(2+x)^2/(3+x)^3,x, algorithm=""maxima"")","\frac{9 \, x^{2} + 50 \, x + 68}{4 \, {\left(x^{3} + 8 \, x^{2} + 21 \, x + 18\right)}} - \frac{17}{8} \, \log\left(x + 3\right) + 2 \, \log\left(x + 2\right) + \frac{1}{8} \, \log\left(x + 1\right)"," ",0,"1/4*(9*x^2 + 50*x + 68)/(x^3 + 8*x^2 + 21*x + 18) - 17/8*log(x + 3) + 2*log(x + 2) + 1/8*log(x + 1)","A",0
125,1,10,0,0.473096," ","integrate(x/(1+x)^2,x, algorithm=""maxima"")","\frac{1}{x + 1} + \log\left(x + 1\right)"," ",0,"1/(x + 1) + log(x + 1)","A",0
126,1,17,0,0.517556," ","integrate(1/(x^3-x),x, algorithm=""maxima"")","\frac{1}{2} \, \log\left(x + 1\right) + \frac{1}{2} \, \log\left(x - 1\right) - \log\left(x\right)"," ",0,"1/2*log(x + 1) + 1/2*log(x - 1) - log(x)","A",0
127,1,14,0,0.508301," ","integrate(x^2/(x^2+x-6),x, algorithm=""maxima"")","x - \frac{9}{5} \, \log\left(x + 3\right) + \frac{4}{5} \, \log\left(x - 2\right)"," ",0,"x - 9/5*log(x + 3) + 4/5*log(x - 2)","A",0
128,1,12,0,0.490587," ","integrate((2+x)/(x^2-4*x+4),x, algorithm=""maxima"")","-\frac{4}{x - 2} + \log\left(x - 2\right)"," ",0,"-4/(x - 2) + log(x - 2)","A",0
129,1,14,0,1.267224," ","integrate(1/(x^2-4*x+4)/(x^2-4*x+5),x, algorithm=""maxima"")","-\frac{1}{x - 2} - \arctan\left(x - 2\right)"," ",0,"-1/(x - 2) - arctan(x - 2)","A",0
130,1,17,0,0.626353," ","integrate((-3+x)/(x^3+3*x^2+2*x),x, algorithm=""maxima"")","-\frac{5}{2} \, \log\left(x + 2\right) + 4 \, \log\left(x + 1\right) - \frac{3}{2} \, \log\left(x\right)"," ",0,"-5/2*log(x + 2) + 4*log(x + 1) - 3/2*log(x)","A",0
131,1,23,0,0.528264," ","integrate(1/(x^2-1)^2,x, algorithm=""maxima"")","-\frac{x}{2 \, {\left(x^{2} - 1\right)}} + \frac{1}{4} \, \log\left(x + 1\right) - \frac{1}{4} \, \log\left(x - 1\right)"," ",0,"-1/2*x/(x^2 - 1) + 1/4*log(x + 1) - 1/4*log(x - 1)","A",0
132,1,16,0,1.233120," ","integrate((1+x)/(x^3-1),x, algorithm=""maxima"")","-\frac{1}{3} \, \log\left(x^{2} + x + 1\right) + \frac{2}{3} \, \log\left(x - 1\right)"," ",0,"-1/3*log(x^2 + x + 1) + 2/3*log(x - 1)","A",0
133,1,14,0,0.575675," ","integrate((x^4+1)/x/(x^2+1)^2,x, algorithm=""maxima"")","\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
134,1,19,0,0.488281," ","integrate(1/(x^4-2*x^3),x, algorithm=""maxima"")","\frac{x + 1}{4 \, x^{2}} + \frac{1}{8} \, \log\left(x - 2\right) - \frac{1}{8} \, \log\left(x\right)"," ",0,"1/4*(x + 1)/x^2 + 1/8*log(x - 2) - 1/8*log(x)","A",0
135,1,16,0,1.434547," ","integrate((-x^3+1)/x/(x^2+1),x, algorithm=""maxima"")","-x + \arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right) + \log\left(x\right)"," ",0,"-x + arctan(x) - 1/2*log(x^2 + 1) + log(x)","A",0
136,1,17,0,1.370246," ","integrate(1/(x^4-1),x, algorithm=""maxima"")","-\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left(x + 1\right) + \frac{1}{4} \, \log\left(x - 1\right)"," ",0,"-1/2*arctan(x) - 1/4*log(x + 1) + 1/4*log(x - 1)","A",0
137,1,72,0,1.412948," ","integrate(1/(x^4+1),x, algorithm=""maxima"")","\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
138,1,15,0,1.222225," ","integrate(x^2/(x^2+2*x+2)^2,x, algorithm=""maxima"")","\frac{1}{x^{2} + 2 \, x + 2} + \arctan\left(x + 1\right)"," ",0,"1/(x^2 + 2*x + 2) + arctan(x + 1)","A",0
139,1,11,0,0.516658," ","integrate((4*x^5-1)/(x^5+x+1)^2,x, algorithm=""maxima"")","-\frac{x}{x^{5} + x + 1}"," ",0,"-x/(x^5 + x + 1)","A",0
140,1,23,0,1.272418," ","integrate(1/(5-cos(x)+2*sin(x)),x, algorithm=""maxima"")","\frac{1}{5} \, \sqrt{5} \arctan\left(\frac{1}{5} \, \sqrt{5} {\left(\frac{3 \, \sin\left(x\right)}{\cos\left(x\right) + 1} + 1\right)}\right)"," ",0,"1/5*sqrt(5)*arctan(1/5*sqrt(5)*(3*sin(x)/(cos(x) + 1) + 1))","A",0
141,-2,0,0,0.000000," ","integrate(1/(1+a*cos(x)),x, algorithm=""maxima"")","\text{Exception raised: ValueError}"," ",0,"Exception raised: ValueError >> Computation failed since Maxima requested additional constraints; using the 'assume' command before evaluation *may* help (example of legal syntax is 'assume(a^2-1.0>0)', see `assume?` for more details)Is a^2-1.0 positive or negative?","F(-2)",0
142,1,37,0,1.348341," ","integrate(1/(1+2*cos(x)),x, algorithm=""maxima"")","-\frac{1}{3} \, \sqrt{3} \log\left(-\frac{\sqrt{3} - \frac{\sin\left(x\right)}{\cos\left(x\right) + 1}}{\sqrt{3} + \frac{\sin\left(x\right)}{\cos\left(x\right) + 1}}\right)"," ",0,"-1/3*sqrt(3)*log(-(sqrt(3) - sin(x)/(cos(x) + 1))/(sqrt(3) + sin(x)/(cos(x) + 1)))","A",0
143,1,19,0,1.301880," ","integrate(1/(1+1/2*cos(x)),x, algorithm=""maxima"")","\frac{4}{3} \, \sqrt{3} \arctan\left(\frac{\sqrt{3} \sin\left(x\right)}{3 \, {\left(\cos\left(x\right) + 1\right)}}\right)"," ",0,"4/3*sqrt(3)*arctan(1/3*sqrt(3)*sin(x)/(cos(x) + 1))","A",0
144,1,14,0,1.227599," ","integrate(sin(x)^2/(1+sin(x)^2),x, algorithm=""maxima"")","-\frac{1}{2} \, \sqrt{2} \arctan\left(\sqrt{2} \tan\left(x\right)\right) + x"," ",0,"-1/2*sqrt(2)*arctan(sqrt(2)*tan(x)) + x","A",0
145,1,15,0,1.143436," ","integrate(1/(b^2*cos(x)^2+a^2*sin(x)^2),x, algorithm=""maxima"")","\frac{\arctan\left(\frac{a \tan\left(x\right)}{b}\right)}{a b}"," ",0,"arctan(a*tan(x)/b)/(a*b)","A",0
146,1,14,0,0.571762," ","integrate(1/(b*cos(x)+a*sin(x))^2,x, algorithm=""maxima"")","-\frac{1}{a^{2} \tan\left(x\right) + a b}"," ",0,"-1/(a^2*tan(x) + a*b)","A",0
147,1,41,0,1.147735," ","integrate(sin(x)/(1+cos(x)+sin(x)),x, algorithm=""maxima"")","\arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}\right) - \log\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1} + 1\right) + \frac{1}{2} \, \log\left(\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1\right)"," ",0,"arctan(sin(x)/(cos(x) + 1)) - log(sin(x)/(cos(x) + 1) + 1) + 1/2*log(sin(x)^2/(cos(x) + 1)^2 + 1)","A",0
148,1,22,0,1.137393," ","integrate((-x^2+3)^(1/2),x, algorithm=""maxima"")","\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
149,1,11,0,0.481550," ","integrate(x/(-x^2+3)^(1/2),x, algorithm=""maxima"")","-\sqrt{-x^{2} + 3}"," ",0,"-sqrt(-x^2 + 3)","A",0
150,1,41,0,1.198125," ","integrate((-x^2+3)^(1/2)/x,x, algorithm=""maxima"")","-\sqrt{3} \log\left(\frac{2 \, \sqrt{3} \sqrt{-x^{2} + 3}}{{\left| x \right|}} + \frac{6}{{\left| x \right|}}\right) + \sqrt{-x^{2} + 3}"," ",0,"-sqrt(3)*log(2*sqrt(3)*sqrt(-x^2 + 3)/abs(x) + 6/abs(x)) + sqrt(-x^2 + 3)","A",0
151,1,25,0,0.511497," ","integrate((x^2+x)^(1/2)/x,x, algorithm=""maxima"")","\sqrt{x^{2} + x} + \frac{1}{2} \, \log\left(2 \, x + 2 \, \sqrt{x^{2} + x} + 1\right)"," ",0,"sqrt(x^2 + x) + 1/2*log(2*x + 2*sqrt(x^2 + x) + 1)","A",0
152,1,20,0,1.274439," ","integrate((x^2+5)^(1/2),x, algorithm=""maxima"")","\frac{1}{2} \, \sqrt{x^{2} + 5} x + \frac{5}{2} \, \operatorname{arsinh}\left(\frac{1}{5} \, \sqrt{5} x\right)"," ",0,"1/2*sqrt(x^2 + 5)*x + 5/2*arcsinh(1/5*sqrt(5)*x)","A",0
153,1,22,0,1.197184," ","integrate(x/(x^2+x+1)^(1/2),x, algorithm=""maxima"")","\sqrt{x^{2} + x + 1} - \frac{1}{2} \, \operatorname{arsinh}\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right)"," ",0,"sqrt(x^2 + x + 1) - 1/2*arcsinh(1/3*sqrt(3)*(2*x + 1))","A",0
154,1,15,0,0.553725," ","integrate(1/(x^2+x)^(1/2),x, algorithm=""maxima"")","\log\left(2 \, x + 2 \, \sqrt{x^{2} + x} + 1\right)"," ",0,"log(2*x + 2*sqrt(x^2 + x) + 1)","A",0
155,1,59,0,1.185048," ","integrate((-x^2-x+2)^(1/2)/x^2,x, algorithm=""maxima"")","\frac{1}{4} \, \sqrt{2} \log\left(\frac{2 \, \sqrt{2} \sqrt{-x^{2} - x + 2}}{{\left| x \right|}} + \frac{4}{{\left| x \right|}} - 1\right) - \frac{\sqrt{-x^{2} - x + 2}}{x} + \arcsin\left(-\frac{2}{3} \, x - \frac{1}{3}\right)"," ",0,"1/4*sqrt(2)*log(2*sqrt(2)*sqrt(-x^2 - x + 2)/abs(x) + 4/abs(x) - 1) - sqrt(-x^2 - x + 2)/x + arcsin(-2/3*x - 1/3)","A",0
156,1,12,0,0.592401," ","integrate(log(t)/(1+t),t, algorithm=""maxima"")","\log\left(t + 1\right) \log\left(t\right) + {\rm Li}_2\left(-t\right)"," ",0,"log(t + 1)*log(t) + dilog(-t)","A",0
157,1,2,0,0.632822," ","integrate(log(exp(cos(x))),x, algorithm=""maxima"")","\sin\left(x\right)"," ",0,"sin(x)","A",0
158,1,2,0,0.660033," ","integrate(exp(t)/t,t, algorithm=""maxima"")","{\rm Ei}\left(t\right)"," ",0,"Ei(t)","A",0
159,1,4,0,0.822706," ","integrate(exp(a*t)/t,t, algorithm=""maxima"")","{\rm Ei}\left(a t\right)"," ",0,"Ei(a*t)","A",0
160,1,5,0,0.693535," ","integrate(exp(t)/t^2,t, algorithm=""maxima"")","\Gamma\left(-1, -t\right)"," ",0,"gamma(-1, -t)","A",0
161,1,9,0,0.645429," ","integrate(exp(1/t),t, algorithm=""maxima"")","-\Gamma\left(-1, -\frac{1}{t}\right)"," ",0,"-gamma(-1, -1/t)","A",0
162,1,16,0,0.872478," ","integrate(1/exp(t)/(-1-a+t),t, algorithm=""maxima"")","-e^{\left(-a - 1\right)} E_{1}\left(-a + t - 1\right)"," ",0,"-e^(-a - 1)*exp_integral_e(1, -a + t - 1)","A",0
163,1,13,0,0.790336," ","integrate(exp(t^2)*t/(t^2+1),t, algorithm=""maxima"")","-\frac{1}{2} \, e^{\left(-1\right)} E_{1}\left(-t^{2} - 1\right)"," ",0,"-1/2*e^(-1)*exp_integral_e(1, -t^2 - 1)","A",0
164,1,16,0,0.796166," ","integrate(exp(t)/(1+t)^2,t, algorithm=""maxima"")","-\frac{e^{\left(-1\right)} E_{2}\left(-t - 1\right)}{t + 1}"," ",0,"-e^(-1)*exp_integral_e(2, -t - 1)/(t + 1)","A",0
165,1,18,0,0.766080," ","integrate(exp(t)*log(1+t),t, algorithm=""maxima"")","e^{\left(-1\right)} E_{1}\left(-t - 1\right) + e^{t} \log\left(t + 1\right)"," ",0,"e^(-1)*exp_integral_e(1, -t - 1) + e^t*log(t + 1)","A",0
166,1,9,0,0.476283," ","integrate(t/exp(t),t, algorithm=""maxima"")","-{\left(t + 1\right)} e^{\left(-t\right)}"," ",0,"-(t + 1)*e^(-t)","A",0
167,1,14,0,0.510543," ","integrate(t^2/exp(t),t, algorithm=""maxima"")","-{\left(t^{2} + 2 \, t + 2\right)} e^{\left(-t\right)}"," ",0,"-(t^2 + 2*t + 2)*e^(-t)","A",0
168,1,19,0,0.484001," ","integrate(t^3/exp(t),t, algorithm=""maxima"")","-{\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
169,1,181,0,1.296334," ","integrate((b1*cos(x)+a1*sin(x))/(b*cos(x)+a*sin(x)),x, algorithm=""maxima"")","a_{1} {\left(\frac{2 \, a \arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}\right)}{a^{2} + b^{2}} - \frac{b \log\left(-b - \frac{2 \, a \sin\left(x\right)}{\cos\left(x\right) + 1} + \frac{b \sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}}\right)}{a^{2} + b^{2}} + \frac{b \log\left(\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1\right)}{a^{2} + b^{2}}\right)} + b_{1} {\left(\frac{2 \, b \arctan\left(\frac{\sin\left(x\right)}{\cos\left(x\right) + 1}\right)}{a^{2} + b^{2}} + \frac{a \log\left(-b - \frac{2 \, a \sin\left(x\right)}{\cos\left(x\right) + 1} + \frac{b \sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}}\right)}{a^{2} + b^{2}} - \frac{a \log\left(\frac{\sin\left(x\right)^{2}}{{\left(\cos\left(x\right) + 1\right)}^{2}} + 1\right)}{a^{2} + b^{2}}\right)}"," ",0,"a1*(2*a*arctan(sin(x)/(cos(x) + 1))/(a^2 + b^2) - b*log(-b - 2*a*sin(x)/(cos(x) + 1) + b*sin(x)^2/(cos(x) + 1)^2)/(a^2 + b^2) + b*log(sin(x)^2/(cos(x) + 1)^2 + 1)/(a^2 + b^2)) + b1*(2*b*arctan(sin(x)/(cos(x) + 1))/(a^2 + b^2) + a*log(-b - 2*a*sin(x)/(cos(x) + 1) + b*sin(x)^2/(cos(x) + 1)^2)/(a^2 + b^2) - a*log(sin(x)^2/(cos(x) + 1)^2 + 1)/(a^2 + b^2))","B",0
170,1,3,0,0.632269," ","integrate(1/log(t),t, algorithm=""maxima"")","{\rm Ei}\left(\log\left(t\right)\right)"," ",0,"Ei(log(t))","A",0
171,1,6,0,0.692456," ","integrate(1/log(t)^2,t, algorithm=""maxima"")","\Gamma\left(-1, -\log\left(t\right)\right)"," ",0,"gamma(-1, -log(t))","A",0
172,1,22,0,0.653146," ","integrate(log(t)^(-1-n),t, algorithm=""maxima"")","-\left(-\log\left(t\right)\right)^{n} \log\left(t\right)^{-n} \Gamma\left(-n, -\log\left(t\right)\right)"," ",0,"-(-log(t))^n*log(t)^(-n)*gamma(-n, -log(t))","A",0
173,1,11,0,0.668040," ","integrate(exp(2*t)/(-1+t),t, algorithm=""maxima"")","-e^{2} E_{1}\left(-2 \, t + 2\right)"," ",0,"-e^2*exp_integral_e(1, -2*t + 2)","A",0
174,0,0,0,0.000000," ","integrate(exp(2*x)/(x^2-3*x+2),x, algorithm=""maxima"")","\int \frac{e^{\left(2 \, x\right)}}{x^{2} - 3 \, x + 2}\,{d x}"," ",0,"integrate(e^(2*x)/(x^2 - 3*x + 2), x)","F",0
175,0,0,0,0.000000," ","integrate(1/(t^3+1)^(1/2),t, algorithm=""maxima"")","\int \frac{1}{\sqrt{t^{3} + 1}}\,{d t}"," ",0,"integrate(1/sqrt(t^3 + 1), t)","F",0
