1,1,11,0,0.929353," ","integrate(x^n,x, algorithm=""giac"")","\frac{x^{n + 1}}{n + 1}"," ",0,"x^(n + 1)/(n + 1)","A",0
2,1,2,0,0.907007," ","integrate(exp(x),x, algorithm=""giac"")","e^{x}"," ",0,"e^x","A",0
3,1,3,0,0.928010," ","integrate(1/x,x, algorithm=""giac"")","\log\left({\left| x \right|}\right)"," ",0,"log(abs(x))","A",0
4,1,8,0,0.828028," ","integrate(a^x,x, algorithm=""giac"")","\frac{a^{x}}{\log\left(a\right)}"," ",0,"a^x/log(a)","A",0
5,1,4,0,0.824406," ","integrate(sin(x),x, algorithm=""giac"")","-\cos\left(x\right)"," ",0,"-cos(x)","A",0
6,1,2,0,0.980542," ","integrate(cos(x),x, algorithm=""giac"")","\sin\left(x\right)"," ",0,"sin(x)","A",0
7,1,2,0,1.108245," ","integrate(sec(x)^2,x, algorithm=""giac"")","\tan\left(x\right)"," ",0,"tan(x)","A",0
8,1,6,0,1.044152," ","integrate(csc(x)^2,x, algorithm=""giac"")","-\frac{1}{\tan\left(x\right)}"," ",0,"-1/tan(x)","A",0
9,1,4,0,0.891899," ","integrate(sec(x)*tan(x),x, algorithm=""giac"")","\frac{1}{\cos\left(x\right)}"," ",0,"1/cos(x)","A",0
10,1,6,0,1.036001," ","integrate(cot(x)*csc(x),x, algorithm=""giac"")","-\frac{1}{\sin\left(x\right)}"," ",0,"-1/sin(x)","A",0
11,1,11,0,1.046360," ","integrate(sinh(x),x, algorithm=""giac"")","\frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"1/2*e^(-x) + 1/2*e^x","B",0
12,1,11,0,0.978670," ","integrate(cosh(x),x, algorithm=""giac"")","-\frac{1}{2} \, e^{\left(-x\right)} + \frac{1}{2} \, e^{x}"," ",0,"-1/2*e^(-x) + 1/2*e^x","B",0
13,1,6,0,1.022356," ","integrate(tan(x),x, algorithm=""giac"")","-\log\left({\left| \cos\left(x\right) \right|}\right)"," ",0,"-log(abs(cos(x)))","A",0
14,1,4,0,0.852671," ","integrate(cot(x),x, algorithm=""giac"")","\log\left({\left| \sin\left(x\right) \right|}\right)"," ",0,"log(abs(sin(x)))","A",0
15,1,8,0,0.890679," ","integrate(x*sin(x),x, algorithm=""giac"")","-x \cos\left(x\right) + \sin\left(x\right)"," ",0,"-x*cos(x) + sin(x)","A",0
16,1,8,0,0.938785," ","integrate(log(x),x, algorithm=""giac"")","x \log\left(x\right) - x"," ",0,"x*log(x) - x","A",0
17,1,11,0,1.079756," ","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
18,1,11,0,0.940917," ","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
19,1,13,0,0.917327," ","integrate(arctan(x),x, algorithm=""giac"")","x \arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"x*arctan(x) - 1/2*log(x^2 + 1)","A",0
20,1,11,0,0.927877," ","integrate(exp(2*x)*x,x, algorithm=""giac"")","\frac{1}{4} \, {\left(2 \, x - 1\right)} e^{\left(2 \, x\right)}"," ",0,"1/4*(2*x - 1)*e^(2*x)","A",0
21,1,7,0,0.783910," ","integrate(x*cos(x),x, algorithm=""giac"")","x \sin\left(x\right) + \cos\left(x\right)"," ",0,"x*sin(x) + cos(x)","A",0
22,1,14,0,0.874352," ","integrate(x*sin(4*x),x, algorithm=""giac"")","-\frac{1}{4} \, x \cos\left(4 \, x\right) + \frac{1}{16} \, \sin\left(4 \, x\right)"," ",0,"-1/4*x*cos(4*x) + 1/16*sin(4*x)","A",0
23,1,13,0,0.758145," ","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
24,1,21,0,0.828546," ","integrate(x^2*cos(3*x),x, algorithm=""giac"")","\frac{2}{9} \, x \cos\left(3 \, x\right) + \frac{1}{27} \, {\left(9 \, x^{2} - 2\right)} \sin\left(3 \, x\right)"," ",0,"2/9*x*cos(3*x) + 1/27*(9*x^2 - 2)*sin(3*x)","A",0
25,1,21,0,0.949455," ","integrate(x^2*sin(2*x),x, algorithm=""giac"")","-\frac{1}{4} \, {\left(2 \, x^{2} - 1\right)} \cos\left(2 \, x\right) + \frac{1}{2} \, x \sin\left(2 \, x\right)"," ",0,"-1/4*(2*x^2 - 1)*cos(2*x) + 1/2*x*sin(2*x)","A",0
26,1,15,0,1.020932," ","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
27,1,14,0,1.050602," ","integrate(arcsin(x),x, algorithm=""giac"")","x \arcsin\left(x\right) + \sqrt{-x^{2} + 1}"," ",0,"x*arcsin(x) + sqrt(-x^2 + 1)","A",0
28,1,14,0,0.954920," ","integrate(t*cos(t)*sin(t),t, algorithm=""giac"")","-\frac{1}{4} \, t \cos\left(2 \, t\right) + \frac{1}{8} \, \sin\left(2 \, t\right)"," ",0,"-1/4*t*cos(2*t) + 1/8*sin(2*t)","A",0
29,1,103,0,0.926678," ","integrate(t*sec(t)^2,t, algorithm=""giac"")","\frac{\log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, t\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, t\right)^{2} + 1\right)}}{\tan\left(\frac{1}{2} \, t\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, t\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, t\right)^{2} - 4 \, t \tan\left(\frac{1}{2} \, t\right) - \log\left(\frac{4 \, {\left(\tan\left(\frac{1}{2} \, t\right)^{4} - 2 \, \tan\left(\frac{1}{2} \, t\right)^{2} + 1\right)}}{\tan\left(\frac{1}{2} \, t\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, t\right)^{2} + 1}\right)}{2 \, {\left(\tan\left(\frac{1}{2} \, t\right)^{2} - 1\right)}}"," ",0,"1/2*(log(4*(tan(1/2*t)^4 - 2*tan(1/2*t)^2 + 1)/(tan(1/2*t)^4 + 2*tan(1/2*t)^2 + 1))*tan(1/2*t)^2 - 4*t*tan(1/2*t) - log(4*(tan(1/2*t)^4 - 2*tan(1/2*t)^2 + 1)/(tan(1/2*t)^4 + 2*tan(1/2*t)^2 + 1)))/(tan(1/2*t)^2 - 1)","B",0
30,1,13,0,0.822664," ","integrate(t^2*log(t),t, algorithm=""giac"")","\frac{1}{3} \, t^{3} \log\left(t\right) - \frac{1}{9} \, t^{3}"," ",0,"1/3*t^3*log(t) - 1/9*t^3","A",0
31,1,16,0,1.071737," ","integrate(exp(t)*t^3,t, algorithm=""giac"")","{\left(t^{3} - 3 \, t^{2} + 6 \, t - 6\right)} e^{t}"," ",0,"(t^3 - 3*t^2 + 6*t - 6)*e^t","A",0
32,1,19,0,0.987103," ","integrate(exp(2*t)*sin(3*t),t, algorithm=""giac"")","-\frac{1}{13} \, {\left(3 \, \cos\left(3 \, t\right) - 2 \, \sin\left(3 \, t\right)\right)} e^{\left(2 \, t\right)}"," ",0,"-1/13*(3*cos(3*t) - 2*sin(3*t))*e^(2*t)","A",0
33,1,17,0,1.067439," ","integrate(cos(3*t)/exp(t),t, algorithm=""giac"")","-\frac{1}{10} \, {\left(\cos\left(3 \, t\right) - 3 \, \sin\left(3 \, t\right)\right)} e^{\left(-t\right)}"," ",0,"-1/10*(cos(3*t) - 3*sin(3*t))*e^(-t)","A",0
34,1,17,0,0.809117," ","integrate(y*sinh(y),y, algorithm=""giac"")","\frac{1}{2} \, {\left(y + 1\right)} e^{\left(-y\right)} + \frac{1}{2} \, {\left(y - 1\right)} e^{y}"," ",0,"1/2*(y + 1)*e^(-y) + 1/2*(y - 1)*e^y","A",0
35,1,30,0,0.774567," ","integrate(y*cosh(a*y),y, algorithm=""giac"")","\frac{{\left(a y - 1\right)} e^{\left(a y\right)}}{2 \, a^{2}} - \frac{{\left(a y + 1\right)} e^{\left(-a y\right)}}{2 \, a^{2}}"," ",0,"1/2*(a*y - 1)*e^(a*y)/a^2 - 1/2*(a*y + 1)*e^(-a*y)/a^2","A",0
36,1,9,0,0.951239," ","integrate(t/exp(t),t, algorithm=""giac"")","-{\left(t + 1\right)} e^{\left(-t\right)}"," ",0,"-(t + 1)*e^(-t)","A",0
37,1,13,0,0.888731," ","integrate(log(t)*t^(1/2),t, algorithm=""giac"")","\frac{2}{3} \, t^{\frac{3}{2}} \log\left(t\right) - \frac{4}{9} \, t^{\frac{3}{2}}"," ",0,"2/3*t^(3/2)*log(t) - 4/9*t^(3/2)","A",0
38,1,14,0,0.851876," ","integrate(x*cos(2*x),x, algorithm=""giac"")","\frac{1}{2} \, x \sin\left(2 \, x\right) + \frac{1}{4} \, \cos\left(2 \, x\right)"," ",0,"1/2*x*sin(2*x) + 1/4*cos(2*x)","A",0
39,1,14,0,1.034955," ","integrate(x^2/exp(x),x, algorithm=""giac"")","-{\left(x^{2} + 2 \, x + 2\right)} e^{\left(-x\right)}"," ",0,"-(x^2 + 2*x + 2)*e^(-x)","A",0
40,1,16,0,0.821506," ","integrate(arccos(x),x, algorithm=""giac"")","x \arccos\left(x\right) - \sqrt{-x^{2} + 1}"," ",0,"x*arccos(x) - sqrt(-x^2 + 1)","A",0
41,1,52,0,0.957079," ","integrate(x*csc(x)^2,x, algorithm=""giac"")","\frac{x \tan\left(\frac{1}{2} \, x\right)^{2} + \log\left(\frac{16 \, \tan\left(\frac{1}{2} \, x\right)^{2}}{\tan\left(\frac{1}{2} \, x\right)^{4} + 2 \, \tan\left(\frac{1}{2} \, x\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, x\right) - x}{2 \, \tan\left(\frac{1}{2} \, x\right)}"," ",0,"1/2*(x*tan(1/2*x)^2 + log(16*tan(1/2*x)^2/(tan(1/2*x)^4 + 2*tan(1/2*x)^2 + 1))*tan(1/2*x) - x)/tan(1/2*x)","B",0
42,1,13,0,0.800264," ","integrate(cos(5*x)*sin(3*x),x, algorithm=""giac"")","-\frac{1}{16} \, \cos\left(8 \, x\right) + \frac{1}{4} \, \cos\left(2 \, x\right)"," ",0,"-1/16*cos(8*x) + 1/4*cos(2*x)","A",0
43,1,13,0,0.766649," ","integrate(sin(2*x)*sin(4*x),x, algorithm=""giac"")","-\frac{1}{12} \, \sin\left(6 \, x\right) + \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"-1/12*sin(6*x) + 1/4*sin(2*x)","A",0
44,1,11,0,1.004004," ","integrate(cos(x)*log(sin(x)),x, algorithm=""giac"")","\log\left(\sin\left(x\right)\right) \sin\left(x\right) - \sin\left(x\right)"," ",0,"log(sin(x))*sin(x) - sin(x)","A",0
45,1,11,0,1.042951," ","integrate(exp(x^2)*x^3,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
46,1,8,0,0.715654," ","integrate(exp(x)*(3+2*x),x, algorithm=""giac"")","{\left(2 \, x + 1\right)} e^{x}"," ",0,"(2*x + 1)*e^x","A",0
47,1,14,0,0.860168," ","integrate(5^x*x,x, algorithm=""giac"")","\frac{{\left(x \log\left(5\right) - 1\right)} 5^{x}}{\log\left(5\right)^{2}}"," ",0,"(x*log(5) - 1)*5^x/log(5)^2","A",0
48,1,13,0,0.777463," ","integrate(cos(log(x)),x, algorithm=""giac"")","\frac{1}{2} \, x \cos\left(\log\left(x\right)\right) + \frac{1}{2} \, x \sin\left(\log\left(x\right)\right)"," ",0,"1/2*x*cos(log(x)) + 1/2*x*sin(log(x))","A",0
49,1,11,0,0.849870," ","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
50,1,9,0,0.935383," ","integrate(1/2*log(x),x, algorithm=""giac"")","\frac{1}{2} \, x \log\left(x\right) - \frac{1}{2} \, x"," ",0,"1/2*x*log(x) - 1/2*x","A",0
51,1,13,0,0.871305," ","integrate(sin(log(x)),x, algorithm=""giac"")","-\frac{1}{2} \, x \cos\left(\log\left(x\right)\right) + \frac{1}{2} \, x \sin\left(\log\left(x\right)\right)"," ",0,"-1/2*x*cos(log(x)) + 1/2*x*sin(log(x))","A",0
52,1,16,0,0.961731," ","integrate(sin(x^(1/2)),x, algorithm=""giac"")","-2 \, \sqrt{x} \cos\left(\sqrt{x}\right) + 2 \, \sin\left(\sqrt{x}\right)"," ",0,"-2*sqrt(x)*cos(sqrt(x)) + 2*sin(sqrt(x))","A",0
53,1,16,0,0.963675," ","integrate(x^5*cos(x^3),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \sin\left(x^{3}\right) + \frac{1}{3} \, \cos\left(x^{3}\right)"," ",0,"1/3*x^3*sin(x^3) + 1/3*cos(x^3)","A",0
54,1,16,0,0.792261," ","integrate(exp(x^2)*x^5,x, algorithm=""giac"")","\frac{1}{2} \, {\left(x^{4} - 2 \, x^{2} + 2\right)} e^{\left(x^{2}\right)}"," ",0,"1/2*(x^4 - 2*x^2 + 2)*e^(x^2)","A",0
55,1,15,0,0.916521," ","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
56,1,18,0,0.992805," ","integrate(x*cos(pi*x),x, algorithm=""giac"")","\frac{x \sin\left(\pi x\right)}{\pi} + \frac{\cos\left(\pi x\right)}{\pi^{2}}"," ",0,"x*sin(pi*x)/pi + cos(pi*x)/pi^2","A",0
57,1,13,0,1.088213," ","integrate(log(x)*x^(1/2),x, algorithm=""giac"")","\frac{2}{3} \, x^{\frac{3}{2}} \log\left(x\right) - \frac{4}{9} \, x^{\frac{3}{2}}"," ",0,"2/3*x^(3/2)*log(x) - 4/9*x^(3/2)","A",0
58,1,10,0,0.836582," ","integrate(sin(3*x)^2,x, algorithm=""giac"")","\frac{1}{2} \, x - \frac{1}{12} \, \sin\left(6 \, x\right)"," ",0,"1/2*x - 1/12*sin(6*x)","A",0
59,1,10,0,0.989790," ","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
60,1,16,0,0.871256," ","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
61,1,11,0,0.931589," ","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
62,1,13,0,0.957100," ","integrate(cos(x)^4*sin(x)^3,x, algorithm=""giac"")","\frac{1}{7} \, \cos\left(x\right)^{7} - \frac{1}{5} \, \cos\left(x\right)^{5}"," ",0,"1/7*cos(x)^7 - 1/5*cos(x)^5","A",0
63,1,13,0,0.956328," ","integrate(cos(x)^3*sin(x)^4,x, algorithm=""giac"")","-\frac{1}{7} \, \sin\left(x\right)^{7} + \frac{1}{5} \, \sin\left(x\right)^{5}"," ",0,"-1/7*sin(x)^7 + 1/5*sin(x)^5","A",0
64,1,22,0,0.918370," ","integrate(cos(x)^2*sin(x)^4,x, algorithm=""giac"")","\frac{1}{16} \, x + \frac{1}{192} \, \sin\left(6 \, x\right) - \frac{1}{64} \, \sin\left(4 \, x\right) - \frac{1}{64} \, \sin\left(2 \, x\right)"," ",0,"1/16*x + 1/192*sin(6*x) - 1/64*sin(4*x) - 1/64*sin(2*x)","A",0
65,1,10,0,1.074939," ","integrate(cos(x)^2*sin(x)^2,x, algorithm=""giac"")","\frac{1}{8} \, x - \frac{1}{32} \, \sin\left(4 \, x\right)"," ",0,"1/8*x - 1/32*sin(4*x)","A",0
66,1,14,0,1.011393," ","integrate((1-sin(2*x))^2,x, algorithm=""giac"")","\frac{3}{2} \, x + \cos\left(2 \, x\right) - \frac{1}{8} \, \sin\left(4 \, x\right)"," ",0,"3/2*x + cos(2*x) - 1/8*sin(4*x)","A",0
67,1,14,0,0.893374," ","integrate(cos(x)*sin(1/6*pi+x),x, algorithm=""giac"")","\frac{1}{4} \, x - \frac{1}{4} \, \cos\left(\frac{1}{6} \, \pi + 2 \, x\right)"," ",0,"1/4*x - 1/4*cos(1/6*pi + 2*x)","A",0
68,1,19,0,0.917664," ","integrate(cos(x)^5*sin(x)^5,x, algorithm=""giac"")","-\frac{1}{10} \, \cos\left(x\right)^{10} + \frac{1}{4} \, \cos\left(x\right)^{8} - \frac{1}{6} \, \cos\left(x\right)^{6}"," ",0,"-1/10*cos(x)^10 + 1/4*cos(x)^8 - 1/6*cos(x)^6","A",0
69,1,22,0,0.814828," ","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
70,1,22,0,0.940789," ","integrate(cos(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
71,1,22,0,0.833365," ","integrate(cos(2*x)^4*sin(2*x)^2,x, algorithm=""giac"")","\frac{1}{16} \, x - \frac{1}{384} \, \sin\left(12 \, x\right) - \frac{1}{128} \, \sin\left(8 \, x\right) + \frac{1}{128} \, \sin\left(4 \, x\right)"," ",0,"1/16*x - 1/384*sin(12*x) - 1/128*sin(8*x) + 1/128*sin(4*x)","A",0
72,1,17,0,0.913183," ","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
73,1,16,0,0.958260," ","integrate(cos(x)^4*sin(x)^4,x, algorithm=""giac"")","\frac{3}{128} \, x + \frac{1}{1024} \, \sin\left(8 \, x\right) - \frac{1}{128} \, \sin\left(4 \, x\right)"," ",0,"3/128*x + 1/1024*sin(8*x) - 1/128*sin(4*x)","A",0
74,1,13,0,0.900507," ","integrate(sin(x)^3*cos(x)^(1/2),x, algorithm=""giac"")","\frac{2}{7} \, \cos\left(x\right)^{\frac{7}{2}} - \frac{2}{3} \, \cos\left(x\right)^{\frac{3}{2}}"," ",0,"2/7*cos(x)^(7/2) - 2/3*cos(x)^(3/2)","A",0
75,1,13,0,0.957842," ","integrate(cos(x)^3*sin(x)^(1/2),x, algorithm=""giac"")","-\frac{2}{7} \, \sin\left(x\right)^{\frac{7}{2}} + \frac{2}{3} \, \sin\left(x\right)^{\frac{3}{2}}"," ",0,"-2/7*sin(x)^(7/2) + 2/3*sin(x)^(3/2)","A",0
76,1,12,0,0.989635," ","integrate(cos(x^(1/2))^2/x^(1/2),x, algorithm=""giac"")","\sqrt{x} + \frac{1}{2} \, \sin\left(2 \, \sqrt{x}\right)"," ",0,"sqrt(x) + 1/2*sin(2*sqrt(x))","A",0
77,1,15,0,0.917678," ","integrate(x*sin(x^2)^3,x, algorithm=""giac"")","\frac{1}{6} \, \cos\left(x^{2}\right)^{3} - \frac{1}{2} \, \cos\left(x^{2}\right)"," ",0,"1/6*cos(x^2)^3 - 1/2*cos(x^2)","A",0
78,1,13,0,1.077314," ","integrate(cos(x)^2*tan(x)^3,x, algorithm=""giac"")","\frac{1}{2} \, \cos\left(x\right)^{2} - \log\left({\left| \cos\left(x\right) \right|}\right)"," ",0,"1/2*cos(x)^2 - log(abs(cos(x)))","A",0
79,1,28,0,0.943490," ","integrate(cot(x)^5*sin(x)^2,x, algorithm=""giac"")","-\frac{1}{2} \, \cos\left(x\right)^{2} + \frac{1}{2 \, {\left(\cos\left(x\right)^{2} - 1\right)}} - \log\left(-\cos\left(x\right)^{2} + 1\right)"," ",0,"-1/2*cos(x)^2 + 1/2/(cos(x)^2 - 1) - log(-cos(x)^2 + 1)","A",0
80,1,5,0,0.907447," ","integrate((1-sin(x))/cos(x),x, algorithm=""giac"")","\log\left(\sin\left(x\right) + 1\right)"," ",0,"log(sin(x) + 1)","A",0
81,1,10,0,0.867562," ","integrate(1/(1-sin(x)),x, algorithm=""giac"")","-\frac{2}{\tan\left(\frac{1}{2} \, x\right) - 1}"," ",0,"-2/(tan(1/2*x) - 1)","A",0
82,1,6,0,0.840842," ","integrate(tan(x)^2,x, algorithm=""giac"")","-x + \tan\left(x\right)"," ",0,"-x + tan(x)","A",0
83,1,12,0,0.865061," ","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
84,1,9,0,0.949844," ","integrate(sec(x)^4,x, algorithm=""giac"")","\frac{1}{3} \, \tan\left(x\right)^{3} + \tan\left(x\right)"," ",0,"1/3*tan(x)^3 + tan(x)","A",0
85,1,15,0,0.970815," ","integrate(sec(x)^6,x, algorithm=""giac"")","\frac{1}{5} \, \tan\left(x\right)^{5} + \frac{2}{3} \, \tan\left(x\right)^{3} + \tan\left(x\right)"," ",0,"1/5*tan(x)^5 + 2/3*tan(x)^3 + tan(x)","A",0
86,1,6,0,0.882204," ","integrate(sec(x)^2*tan(x)^4,x, algorithm=""giac"")","\frac{1}{5} \, \tan\left(x\right)^{5}"," ",0,"1/5*tan(x)^5","A",0
87,1,13,0,0.770228," ","integrate(sec(x)^4*tan(x)^2,x, algorithm=""giac"")","\frac{1}{5} \, \tan\left(x\right)^{5} + \frac{1}{3} \, \tan\left(x\right)^{3}"," ",0,"1/5*tan(x)^5 + 1/3*tan(x)^3","A",0
88,1,6,0,0.780266," ","integrate(sec(x)^3*tan(x),x, algorithm=""giac"")","\frac{1}{3 \, \cos\left(x\right)^{3}}"," ",0,"1/3/cos(x)^3","A",0
89,1,14,0,0.916491," ","integrate(sec(x)^3*tan(x)^3,x, algorithm=""giac"")","-\frac{5 \, \cos\left(x\right)^{2} - 3}{15 \, \cos\left(x\right)^{5}}"," ",0,"-1/15*(5*cos(x)^2 - 3)/cos(x)^5","A",0
90,1,22,0,0.990084," ","integrate(tan(x)^5,x, algorithm=""giac"")","\frac{1}{4} \, \tan\left(x\right)^{4} - \frac{1}{2} \, \tan\left(x\right)^{2} + \frac{1}{2} \, \log\left(\tan\left(x\right)^{2} + 1\right)"," ",0,"1/4*tan(x)^4 - 1/2*tan(x)^2 + 1/2*log(tan(x)^2 + 1)","A",0
91,1,18,0,0.919496," ","integrate(tan(x)^6,x, algorithm=""giac"")","\frac{1}{5} \, \tan\left(x\right)^{5} - \frac{1}{3} \, \tan\left(x\right)^{3} - x + \tan\left(x\right)"," ",0,"1/5*tan(x)^5 - 1/3*tan(x)^3 - x + tan(x)","A",0
92,1,20,0,1.034194," ","integrate(sec(x)*tan(x)^5,x, algorithm=""giac"")","\frac{15 \, \cos\left(x\right)^{4} - 10 \, \cos\left(x\right)^{2} + 3}{15 \, \cos\left(x\right)^{5}}"," ",0,"1/15*(15*cos(x)^4 - 10*cos(x)^2 + 3)/cos(x)^5","A",0
93,1,20,0,1.002542," ","integrate(sec(x)^3*tan(x)^5,x, algorithm=""giac"")","\frac{35 \, \cos\left(x\right)^{4} - 42 \, \cos\left(x\right)^{2} + 15}{105 \, \cos\left(x\right)^{7}}"," ",0,"1/105*(35*cos(x)^4 - 42*cos(x)^2 + 15)/cos(x)^7","A",0
94,1,6,0,0.940344," ","integrate(sec(x)^6*tan(x),x, algorithm=""giac"")","\frac{1}{6 \, \cos\left(x\right)^{6}}"," ",0,"1/6/cos(x)^6","A",0
95,1,14,0,0.943159," ","integrate(sec(x)^6*tan(x)^3,x, algorithm=""giac"")","-\frac{4 \, \cos\left(x\right)^{2} - 3}{24 \, \cos\left(x\right)^{8}}"," ",0,"-1/24*(4*cos(x)^2 - 3)/cos(x)^8","A",0
96,1,6,0,1.022197," ","integrate(sec(x)^2/cot(x),x, algorithm=""giac"")","\frac{1}{2 \, \cos\left(x\right)^{2}}"," ",0,"1/2/cos(x)^2","A",0
97,1,29,0,1.001891," ","integrate(sec(x)*tan(x)^2,x, algorithm=""giac"")","-\frac{\sin\left(x\right)}{2 \, {\left(\sin\left(x\right)^{2} - 1\right)}} - \frac{1}{4} \, \log\left(\sin\left(x\right) + 1\right) + \frac{1}{4} \, \log\left(-\sin\left(x\right) + 1\right)"," ",0,"-1/2*sin(x)/(sin(x)^2 - 1) - 1/4*log(sin(x) + 1) + 1/4*log(-sin(x) + 1)","B",0
98,1,18,0,1.134192," ","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
99,1,22,0,0.937891," ","integrate(cot(x)^3,x, algorithm=""giac"")","\frac{1}{2 \, {\left(\cos\left(x\right)^{2} - 1\right)}} - \frac{1}{2} \, \log\left(-\cos\left(x\right)^{2} + 1\right)"," ",0,"1/2/(cos(x)^2 - 1) - 1/2*log(-cos(x)^2 + 1)","A",0
100,1,14,0,0.921115," ","integrate(cot(x)^4*csc(x)^4,x, algorithm=""giac"")","-\frac{7 \, \tan\left(x\right)^{2} + 5}{35 \, \tan\left(x\right)^{7}}"," ",0,"-1/35*(7*tan(x)^2 + 5)/tan(x)^7","A",0
101,1,14,0,0.906176," ","integrate(cot(x)^3*csc(x)^4,x, algorithm=""giac"")","\frac{3 \, \sin\left(x\right)^{2} - 2}{12 \, \sin\left(x\right)^{6}}"," ",0,"1/12*(3*sin(x)^2 - 2)/sin(x)^6","A",0
102,1,6,0,0.997696," ","integrate(csc(x),x, algorithm=""giac"")","\log\left({\left| \tan\left(\frac{1}{2} \, x\right) \right|}\right)"," ",0,"log(abs(tan(1/2*x)))","A",0
103,1,54,0,1.117048," ","integrate(csc(x)^3,x, algorithm=""giac"")","-\frac{{\left(\frac{2 \, {\left(\cos\left(x\right) - 1\right)}}{\cos\left(x\right) + 1} - 1\right)} {\left(\cos\left(x\right) + 1\right)}}{8 \, {\left(\cos\left(x\right) - 1\right)}} - \frac{\cos\left(x\right) - 1}{8 \, {\left(\cos\left(x\right) + 1\right)}} + \frac{1}{4} \, \log\left(-\frac{\cos\left(x\right) - 1}{\cos\left(x\right) + 1}\right)"," ",0,"-1/8*(2*(cos(x) - 1)/(cos(x) + 1) - 1)*(cos(x) + 1)/(cos(x) - 1) - 1/8*(cos(x) - 1)/(cos(x) + 1) + 1/4*log(-(cos(x) - 1)/(cos(x) + 1))","B",0
104,1,19,0,0.984537," ","integrate(cos(x)^2/sin(x),x, algorithm=""giac"")","\cos\left(x\right) - \frac{1}{2} \, \log\left(\cos\left(x\right) + 1\right) + \frac{1}{2} \, \log\left(-\cos\left(x\right) + 1\right)"," ",0,"cos(x) - 1/2*log(cos(x) + 1) + 1/2*log(-cos(x) + 1)","B",0
105,1,14,0,0.983773," ","integrate(1/sin(x)^4,x, algorithm=""giac"")","-\frac{3 \, \tan\left(x\right)^{2} + 1}{3 \, \tan\left(x\right)^{3}}"," ",0,"-1/3*(3*tan(x)^2 + 1)/tan(x)^3","A",0
106,1,13,0,0.877544," ","integrate(sin(2*x)*sin(5*x),x, algorithm=""giac"")","-\frac{1}{14} \, \sin\left(7 \, x\right) + \frac{1}{6} \, \sin\left(3 \, x\right)"," ",0,"-1/14*sin(7*x) + 1/6*sin(3*x)","A",0
107,1,13,0,0.917708," ","integrate(cos(x)*sin(3*x),x, algorithm=""giac"")","-\cos\left(x\right)^{4} + \frac{1}{2} \, \cos\left(x\right)^{2}"," ",0,"-cos(x)^4 + 1/2*cos(x)^2","A",0
108,1,11,0,0.973162," ","integrate(cos(3*x)*cos(4*x),x, algorithm=""giac"")","\frac{1}{14} \, \sin\left(7 \, x\right) + \frac{1}{2} \, \sin\left(x\right)"," ",0,"1/14*sin(7*x) + 1/2*sin(x)","A",0
109,1,13,0,0.925124," ","integrate(sin(3*x)*sin(6*x),x, algorithm=""giac"")","-\frac{1}{18} \, \sin\left(9 \, x\right) + \frac{1}{6} \, \sin\left(3 \, x\right)"," ",0,"-1/18*sin(9*x) + 1/6*sin(3*x)","A",0
110,1,6,0,0.803494," ","integrate(cos(x)^5*sin(x),x, algorithm=""giac"")","-\frac{1}{6} \, \cos\left(x\right)^{6}"," ",0,"-1/6*cos(x)^6","A",0
111,1,22,0,0.796784," ","integrate(cos(x)*cos(2*x)*cos(3*x),x, algorithm=""giac"")","\frac{1}{4} \, x + \frac{1}{24} \, \sin\left(6 \, x\right) + \frac{1}{16} \, \sin\left(4 \, x\right) + \frac{1}{8} \, \sin\left(2 \, x\right)"," ",0,"1/4*x + 1/24*sin(6*x) + 1/16*sin(4*x) + 1/8*sin(2*x)","A",0
112,1,9,0,1.028789," ","integrate((1-tan(x)^2)/sec(x)^2,x, algorithm=""giac"")","\frac{1}{\frac{1}{\tan\left(x\right)} + \tan\left(x\right)}"," ",0,"1/(1/tan(x) + tan(x))","A",0
113,1,29,0,1.111794," ","integrate((cos(x)+sin(x))/sin(2*x),x, algorithm=""giac"")","\frac{1}{2} \, \log\left({\left| \tan\left(\frac{1}{2} \, x\right) + 1 \right|}\right) - \frac{1}{2} \, \log\left({\left| \tan\left(\frac{1}{2} \, x\right) - 1 \right|}\right) + \frac{1}{2} \, \log\left({\left| \tan\left(\frac{1}{2} \, x\right) \right|}\right)"," ",0,"1/2*log(abs(tan(1/2*x) + 1)) - 1/2*log(abs(tan(1/2*x) - 1)) + 1/2*log(abs(tan(1/2*x)))","B",0
114,1,18,0,0.922337," ","integrate(sin(x)^2*tan(x),x, algorithm=""giac"")","-\frac{1}{2} \, \sin\left(x\right)^{2} - \frac{1}{2} \, \log\left(-\sin\left(x\right)^{2} + 1\right)"," ",0,"-1/2*sin(x)^2 - 1/2*log(-sin(x)^2 + 1)","A",0
115,1,28,0,0.846132," ","integrate(cos(x)^2*cot(x)^3,x, algorithm=""giac"")","-\frac{1}{2} \, \cos\left(x\right)^{2} + \frac{1}{2 \, {\left(\cos\left(x\right)^{2} - 1\right)}} - \log\left(-\cos\left(x\right)^{2} + 1\right)"," ",0,"-1/2*cos(x)^2 + 1/2/(cos(x)^2 - 1) - log(-cos(x)^2 + 1)","A",0
116,1,6,0,0.910728," ","integrate(sec(x)^3*tan(x),x, algorithm=""giac"")","\frac{1}{3 \, \cos\left(x\right)^{3}}"," ",0,"1/3/cos(x)^3","A",0
117,1,14,0,0.818687," ","integrate(sec(x)^3*tan(x)^3,x, algorithm=""giac"")","-\frac{5 \, \cos\left(x\right)^{2} - 3}{15 \, \cos\left(x\right)^{5}}"," ",0,"-1/15*(5*cos(x)^2 - 3)/cos(x)^5","A",0
118,1,39,0,0.984330," ","integrate((-x^2+9)^(1/2)/x^2,x, algorithm=""giac"")","\frac{x}{2 \, {\left(\sqrt{-x^{2} + 9} - 3\right)}} - \frac{\sqrt{-x^{2} + 9} - 3}{2 \, x} - \arcsin\left(\frac{1}{3} \, x\right)"," ",0,"1/2*x/(sqrt(-x^2 + 9) - 3) - 1/2*(sqrt(-x^2 + 9) - 3)/x - arcsin(1/3*x)","A",0
119,1,19,0,1.066791," ","integrate(1/x^2/(x^2+4)^(1/2),x, algorithm=""giac"")","\frac{2}{{\left(x - \sqrt{x^{2} + 4}\right)}^{2} - 4}"," ",0,"2/((x - sqrt(x^2 + 4))^2 - 4)","A",0
120,1,7,0,0.888700," ","integrate(x/(x^2+4)^(1/2),x, algorithm=""giac"")","\sqrt{x^{2} + 4}"," ",0,"sqrt(x^2 + 4)","A",0
121,1,19,0,0.985078," ","integrate(1/(-a^2+x^2)^(1/2),x, algorithm=""giac"")","-\log\left({\left| -x + \sqrt{-a^{2} + x^{2}} \right|}\right)"," ",0,"-log(abs(-x + sqrt(-a^2 + x^2)))","A",0
122,1,23,0,0.977248," ","integrate(x^3/(4*x^2+9)^(3/2),x, algorithm=""giac"")","\frac{1}{16} \, \sqrt{4 \, x^{2} + 9} + \frac{9}{16 \, \sqrt{4 \, x^{2} + 9}}"," ",0,"1/16*sqrt(4*x^2 + 9) + 9/16/sqrt(4*x^2 + 9)","A",0
123,1,23,0,1.050112," ","integrate(x/(-x^2-2*x+3)^(1/2),x, algorithm=""giac"")","-\sqrt{-x^{2} - 2 \, x + 3} - \arcsin\left(\frac{1}{2} \, x + \frac{1}{2}\right)"," ",0,"-sqrt(-x^2 - 2*x + 3) - arcsin(1/2*x + 1/2)","A",0
124,1,33,0,0.953674," ","integrate(1/x^2/(-x^2+1)^(1/2),x, algorithm=""giac"")","\frac{x}{2 \, {\left(\sqrt{-x^{2} + 1} - 1\right)}} - \frac{\sqrt{-x^{2} + 1} - 1}{2 \, x}"," ",0,"1/2*x/(sqrt(-x^2 + 1) - 1) - 1/2*(sqrt(-x^2 + 1) - 1)/x","B",0
125,1,30,0,0.882252," ","integrate(x^3*(-x^2+4)^(1/2),x, algorithm=""giac"")","\frac{1}{5} \, {\left(x^{2} - 4\right)}^{2} \sqrt{-x^{2} + 4} - \frac{4}{3} \, {\left(-x^{2} + 4\right)}^{\frac{3}{2}}"," ",0,"1/5*(x^2 - 4)^2*sqrt(-x^2 + 4) - 4/3*(-x^2 + 4)^(3/2)","A",0
126,1,11,0,1.043686," ","integrate(x/(-x^2+1)^(1/2),x, algorithm=""giac"")","-\sqrt{-x^{2} + 1}"," ",0,"-sqrt(-x^2 + 1)","A",0
127,1,11,0,1.023151," ","integrate(x*(-x^2+4)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, {\left(-x^{2} + 4\right)}^{\frac{3}{2}}"," ",0,"-1/3*(-x^2 + 4)^(3/2)","A",0
128,1,19,0,0.940556," ","integrate((-4*x^2+1)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{-4 \, x^{2} + 1} x + \frac{1}{4} \, \arcsin\left(2 \, x\right)"," ",0,"1/2*sqrt(-4*x^2 + 1)*x + 1/4*arcsin(2*x)","A",0
129,1,19,0,0.916820," ","integrate(x^3/(x^2+4)^(1/2),x, algorithm=""giac"")","\frac{1}{3} \, {\left(x^{2} + 4\right)}^{\frac{3}{2}} - 4 \, \sqrt{x^{2} + 4}"," ",0,"1/3*(x^2 + 4)^(3/2) - 4*sqrt(x^2 + 4)","A",0
130,1,14,0,1.095810," ","integrate(1/(x^2+9)^(1/2),x, algorithm=""giac"")","-\log\left(-x + \sqrt{x^{2} + 9}\right)"," ",0,"-log(-x + sqrt(x^2 + 9))","B",0
131,1,25,0,0.930681," ","integrate((x^2+1)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{x^{2} + 1} x - \frac{1}{2} \, \log\left(-x + \sqrt{x^{2} + 1}\right)"," ",0,"1/2*sqrt(x^2 + 1)*x - 1/2*log(-x + sqrt(x^2 + 1))","A",0
132,1,25,0,0.950300," ","integrate(1/x^3/(x^2-16)^(1/2),x, algorithm=""giac"")","\frac{\sqrt{x^{2} - 16}}{32 \, x^{2}} + \frac{1}{128} \, \arctan\left(\frac{1}{4} \, \sqrt{x^{2} - 16}\right)"," ",0,"1/32*sqrt(x^2 - 16)/x^2 + 1/128*arctan(1/4*sqrt(x^2 - 16))","A",0
133,1,48,0,0.975288," ","integrate((-a^2+x^2)^(1/2)/x^4,x, algorithm=""giac"")","\frac{2 \, {\left(a^{4} + 3 \, {\left(x - \sqrt{-a^{2} + x^{2}}\right)}^{4}\right)}}{3 \, {\left(a^{2} + {\left(x - \sqrt{-a^{2} + x^{2}}\right)}^{2}\right)}^{3}}"," ",0,"2/3*(a^4 + 3*(x - sqrt(-a^2 + x^2))^4)/(a^2 + (x - sqrt(-a^2 + x^2))^2)^3","B",0
134,1,24,0,0.925039," ","integrate((9*x^2-4)^(1/2)/x,x, algorithm=""giac"")","\sqrt{9 \, x^{2} - 4} - 2 \, \arctan\left(\frac{1}{2} \, \sqrt{9 \, x^{2} - 4}\right)"," ",0,"sqrt(9*x^2 - 4) - 2*arctan(1/2*sqrt(9*x^2 - 4))","A",0
135,1,23,0,0.989843," ","integrate(1/x^2/(16*x^2-9)^(1/2),x, algorithm=""giac"")","\frac{8}{{\left(4 \, x - \sqrt{16 \, x^{2} - 9}\right)}^{2} + 9}"," ",0,"8/((4*x - sqrt(16*x^2 - 9))^2 + 9)","A",0
136,1,24,0,1.061846," ","integrate(x^2/(a^2-x^2)^(3/2),x, algorithm=""giac"")","-\arcsin\left(\frac{x}{a}\right) \mathrm{sgn}\left(a\right) + \frac{x}{\sqrt{a^{2} - x^{2}}}"," ",0,"-arcsin(x/a)*sgn(a) + x/sqrt(a^2 - x^2)","A",0
137,1,22,0,0.890375," ","integrate(x^2/(-x^2+5)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{-x^{2} + 5} x + \frac{5}{2} \, \arcsin\left(\frac{1}{5} \, \sqrt{5} x\right)"," ",0,"-1/2*sqrt(-x^2 + 5)*x + 5/2*arcsin(1/5*sqrt(5)*x)","A",0
138,1,37,0,0.905961," ","integrate(1/x/(x^2+3)^(1/2),x, algorithm=""giac"")","-\frac{1}{6} \, \sqrt{3} \log\left(\sqrt{3} + \sqrt{x^{2} + 3}\right) + \frac{1}{6} \, \sqrt{3} \log\left(-\sqrt{3} + \sqrt{x^{2} + 3}\right)"," ",0,"-1/6*sqrt(3)*log(sqrt(3) + sqrt(x^2 + 3)) + 1/6*sqrt(3)*log(-sqrt(3) + sqrt(x^2 + 3))","B",0
139,1,9,0,0.979224," ","integrate(x/(x^2+4)^(5/2),x, algorithm=""giac"")","-\frac{1}{3 \, {\left(x^{2} + 4\right)}^{\frac{3}{2}}}"," ",0,"-1/3/(x^2 + 4)^(3/2)","A",0
140,1,32,0,1.103302," ","integrate(x^3*(-9*x^2+4)^(1/2),x, algorithm=""giac"")","\frac{1}{405} \, {\left(9 \, x^{2} - 4\right)}^{2} \sqrt{-9 \, x^{2} + 4} - \frac{4}{243} \, {\left(-9 \, x^{2} + 4\right)}^{\frac{3}{2}}"," ",0,"1/405*(9*x^2 - 4)^2*sqrt(-9*x^2 + 4) - 4/243*(-9*x^2 + 4)^(3/2)","A",0
141,1,26,0,1.015726," ","integrate(x^2*(-x^2+9)^(1/2),x, algorithm=""giac"")","\frac{1}{8} \, {\left(2 \, x^{2} - 9\right)} \sqrt{-x^{2} + 9} x + \frac{81}{8} \, \arcsin\left(\frac{1}{3} \, x\right)"," ",0,"1/8*(2*x^2 - 9)*sqrt(-x^2 + 9)*x + 81/8*arcsin(1/3*x)","A",0
142,1,9,0,0.990535," ","integrate(5*x*(x^2+1)^(1/2),x, algorithm=""giac"")","\frac{5}{3} \, {\left(x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"5/3*(x^2 + 1)^(3/2)","A",0
143,1,12,0,1.041470," ","integrate(1/(4*x^2-25)^(3/2),x, algorithm=""giac"")","-\frac{x}{25 \, \sqrt{4 \, x^{2} - 25}}"," ",0,"-1/25*x/sqrt(4*x^2 - 25)","A",0
144,1,23,0,0.888427," ","integrate((-x^2+2*x)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{-x^{2} + 2 \, x} {\left(x - 1\right)} + \frac{1}{2} \, \arcsin\left(x - 1\right)"," ",0,"1/2*sqrt(-x^2 + 2*x)*(x - 1) + 1/2*arcsin(x - 1)","A",0
145,1,18,0,1.181867," ","integrate(1/(x^2+4*x+8)^(1/2),x, algorithm=""giac"")","-\log\left(-x + \sqrt{x^{2} + 4 \, x + 8} - 2\right)"," ",0,"-log(-x + sqrt(x^2 + 4*x + 8) - 2)","B",0
146,1,21,0,1.104979," ","integrate(1/(9*x^2+6*x-8)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, \log\left({\left| -3 \, x + \sqrt{9 \, x^{2} + 6 \, x - 8} - 1 \right|}\right)"," ",0,"-1/3*log(abs(-3*x + sqrt(9*x^2 + 6*x - 8) - 1))","A",0
147,1,25,0,1.004338," ","integrate(x^2/(-x^2+4*x)^(1/2),x, algorithm=""giac"")","-\frac{1}{2} \, \sqrt{-x^{2} + 4 \, x} {\left(x + 6\right)} + 6 \, \arcsin\left(\frac{1}{2} \, x - 1\right)"," ",0,"-1/2*sqrt(-x^2 + 4*x)*(x + 6) + 6*arcsin(1/2*x - 1)","A",0
148,1,22,0,0.971977," ","integrate(1/(x^2+2*x+2)^2,x, algorithm=""giac"")","\frac{x + 1}{2 \, {\left(x^{2} + 2 \, x + 2\right)}} + \frac{1}{2} \, \arctan\left(x + 1\right)"," ",0,"1/2*(x + 1)/(x^2 + 2*x + 2) + 1/2*arctan(x + 1)","A",0
149,1,36,0,1.067352," ","integrate(1/(-x^2-4*x+5)^(5/2),x, algorithm=""giac"")","-\frac{{\left({\left(2 \, {\left(x + 6\right)} x - 3\right)} x - 38\right)} \sqrt{-x^{2} - 4 \, x + 5}}{243 \, {\left(x^{2} + 4 \, x - 5\right)}^{2}}"," ",0,"-1/243*((2*(x + 6)*x - 3)*x - 38)*sqrt(-x^2 - 4*x + 5)/(x^2 + 4*x - 5)^2","A",0
150,1,22,0,1.041740," ","integrate(exp(t)*(9-exp(2*t))^(1/2),t, algorithm=""giac"")","\frac{1}{2} \, \sqrt{-e^{\left(2 \, t\right)} + 9} e^{t} + \frac{9}{2} \, \arcsin\left(\frac{1}{3} \, e^{t}\right)"," ",0,"1/2*sqrt(-e^(2*t) + 9)*e^t + 9/2*arcsin(1/3*e^t)","A",0
151,1,22,0,0.919657," ","integrate((-9+exp(2*t))^(1/2),t, algorithm=""giac"")","\sqrt{e^{\left(2 \, t\right)} - 9} - 3 \, \arctan\left(\frac{1}{3} \, \sqrt{e^{\left(2 \, t\right)} - 9}\right)"," ",0,"sqrt(e^(2*t) - 9) - 3*arctan(1/3*sqrt(e^(2*t) - 9))","A",0
152,1,16,0,0.848347," ","integrate(1/(a^2+x^2)^(1/2),x, algorithm=""giac"")","-\log\left(-x + \sqrt{a^{2} + x^{2}}\right)"," ",0,"-log(-x + sqrt(a^2 + x^2))","A",0
153,1,15,0,0.777033," ","integrate((5+x)/(x^2+x-2),x, algorithm=""giac"")","-\log\left({\left| x + 2 \right|}\right) + 2 \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-log(abs(x + 2)) + 2*log(abs(x - 1))","A",0
154,1,21,0,0.867520," ","integrate((x^3+x)/(-1+x),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} + \frac{1}{2} \, x^{2} + 2 \, x + 2 \, \log\left({\left| x - 1 \right|}\right)"," ",0,"1/3*x^3 + 1/2*x^2 + 2*x + 2*log(abs(x - 1))","A",0
155,1,22,0,0.755154," ","integrate((x^2+2*x-1)/(2*x^3+3*x^2-2*x),x, algorithm=""giac"")","\frac{1}{10} \, \log\left({\left| 2 \, x - 1 \right|}\right) - \frac{1}{10} \, \log\left({\left| x + 2 \right|}\right) + \frac{1}{2} \, \log\left({\left| x \right|}\right)"," ",0,"1/10*log(abs(2*x - 1)) - 1/10*log(abs(x + 2)) + 1/2*log(abs(x))","A",0
156,1,26,0,1.049620," ","integrate((x^4-2*x^2+4*x+1)/(x^3-x^2-x+1),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} + x - \frac{2}{x - 1} - \log\left({\left| x + 1 \right|}\right) + \log\left({\left| x - 1 \right|}\right)"," ",0,"1/2*x^2 + x - 2/(x - 1) - log(abs(x + 1)) + log(abs(x - 1))","A",0
157,1,18,0,0.937095," ","integrate((2*x^2-x+4)/(x^3+4*x),x, algorithm=""giac"")","-\frac{1}{2} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{1}{2} \, \log\left(x^{2} + 4\right) + \log\left({\left| x \right|}\right)"," ",0,"-1/2*arctan(1/2*x) + 1/2*log(x^2 + 4) + log(abs(x))","A",0
158,1,31,0,0.858441," ","integrate((4*x^2-3*x+2)/(4*x^2-4*x+3),x, algorithm=""giac"")","-\frac{1}{8} \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} {\left(2 \, x - 1\right)}\right) + x + \frac{1}{8} \, \log\left(4 \, x^{2} - 4 \, x + 3\right)"," ",0,"-1/8*sqrt(2)*arctan(1/2*sqrt(2)*(2*x - 1)) + x + 1/8*log(4*x^2 - 4*x + 3)","A",0
159,1,74,0,1.024814," ","integrate((x^3+x^2+1)/(-1+x)/x/(x^2+1)^3/(x^2+x+1),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{9 \, x^{3} - 6 \, x^{2} + 11 \, x - 4}{16 \, {\left(x^{2} + 1\right)}^{2}} + \frac{7}{16} \, \arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + x + 1\right) + \frac{15}{16} \, \log\left(x^{2} + 1\right) + \frac{1}{8} \, \log\left({\left| x - 1 \right|}\right) - \log\left({\left| x \right|}\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/16*(9*x^3 - 6*x^2 + 11*x - 4)/(x^2 + 1)^2 + 7/16*arctan(x) - 1/2*log(x^2 + x + 1) + 15/16*log(x^2 + 1) + 1/8*log(abs(x - 1)) - log(abs(x))","A",0
160,1,30,0,0.906718," ","integrate((-x^3+2*x^2-3*x+1)/x/(x^2+1)^2,x, algorithm=""giac"")","-\frac{2 \, x + 1}{2 \, {\left(x^{2} + 1\right)}} - 2 \, \arctan\left(x\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right) + \log\left({\left| x \right|}\right)"," ",0,"-1/2*(2*x + 1)/(x^2 + 1) - 2*arctan(x) - 1/2*log(x^2 + 1) + log(abs(x))","A",0
161,1,15,0,1.078731," ","integrate(1/(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
162,1,15,0,0.971491," ","integrate(1/(-1+x)/(2+x),x, algorithm=""giac"")","-\frac{1}{3} \, \log\left({\left| x + 2 \right|}\right) + \frac{1}{3} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/3*log(abs(x + 2)) + 1/3*log(abs(x - 1))","A",0
163,1,17,0,1.080995," ","integrate(7/(2*x^2+5*x-12),x, algorithm=""giac"")","\frac{7}{11} \, \log\left({\left| 2 \, x - 3 \right|}\right) - \frac{7}{11} \, \log\left({\left| x + 4 \right|}\right)"," ",0,"7/11*log(abs(2*x - 3)) - 7/11*log(abs(x + 4))","A",0
164,1,43,0,0.892973," ","integrate((x^2+3*x-4)/(-1+2*x)^2/(3+2*x),x, algorithm=""giac"")","\frac{9}{32 \, {\left(2 \, x - 1\right)}} - \frac{1}{8} \, \log\left(\frac{{\left| 2 \, x - 1 \right|}}{2 \, {\left(2 \, x - 1\right)}^{2}}\right) - \frac{25}{128} \, \log\left({\left| -\frac{4}{2 \, x - 1} - 1 \right|}\right)"," ",0,"9/32/(2*x - 1) - 1/8*log(1/2*abs(2*x - 1)/(2*x - 1)^2) - 25/128*log(abs(-4/(2*x - 1) - 1))","A",0
165,1,31,0,0.963140," ","integrate((x^3-x^2)/(-6+x)/(3+5*x)^3,x, algorithm=""giac"")","\frac{3 \, {\left(335 \, x + 157\right)}}{15125 \, {\left(5 \, x + 3\right)}^{2}} + \frac{1493}{499125} \, \log\left({\left| 5 \, x + 3 \right|}\right) + \frac{20}{3993} \, \log\left({\left| x - 6 \right|}\right)"," ",0,"3/15125*(335*x + 157)/(5*x + 3)^2 + 1493/499125*log(abs(5*x + 3)) + 20/3993*log(abs(x - 6))","A",0
166,1,21,0,0.921208," ","integrate(1/(x^4-x^3),x, algorithm=""giac"")","\frac{2 \, x + 1}{2 \, x^{2}} + \log\left({\left| x - 1 \right|}\right) - \log\left({\left| x \right|}\right)"," ",0,"1/2*(2*x + 1)/x^2 + log(abs(x - 1)) - log(abs(x))","A",0
167,1,26,0,1.171487," ","integrate((x^4+x^3-x^2-x+1)/(x^3-x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} + x + \frac{1}{2} \, \log\left({\left| x + 1 \right|}\right) + \frac{1}{2} \, \log\left({\left| x - 1 \right|}\right) - \log\left({\left| x \right|}\right)"," ",0,"1/2*x^2 + x + 1/2*log(abs(x + 1)) + 1/2*log(abs(x - 1)) - log(abs(x))","A",0
168,1,13,0,1.022144," ","integrate((x^2-2)/x/(x^2+2),x, algorithm=""giac"")","\log\left(x^{2} + 2\right) - \frac{1}{2} \, \log\left(x^{2}\right)"," ",0,"log(x^2 + 2) - 1/2*log(x^2)","A",0
169,1,31,0,0.899859," ","integrate((x^3-4*x^2+2)/(x^2+1)/(x^2+2),x, algorithm=""giac"")","-5 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) + 6 \, \arctan\left(x\right) + \log\left(x^{2} + 2\right) - \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"-5*sqrt(2)*arctan(1/2*sqrt(2)*x) + 6*arctan(x) + log(x^2 + 2) - 1/2*log(x^2 + 1)","A",0
170,1,21,0,0.873858," ","integrate((x^4+x^2+1)/(x^2+1)/(x^2+4)^2,x, algorithm=""giac"")","-\frac{13 \, x}{24 \, {\left(x^{2} + 4\right)}} + \frac{25}{144} \, \arctan\left(\frac{1}{2} \, x\right) + \frac{1}{9} \, \arctan\left(x\right)"," ",0,"-13/24*x/(x^2 + 4) + 25/144*arctan(1/2*x) + 1/9*arctan(x)","A",0
171,1,60,0,0.900835," ","integrate((1+16*x)/(5+x)^2/(-3+2*x)/(x^2+x+1),x, algorithm=""giac"")","\frac{451}{8379} \, \sqrt{3} \arctan\left(-\sqrt{3} {\left(\frac{14}{x + 5} - 3\right)}\right) - \frac{79}{273 \, {\left(x + 5\right)}} - \frac{481}{5586} \, \log\left(-\frac{9}{x + 5} + \frac{21}{{\left(x + 5\right)}^{2}} + 1\right) + \frac{200}{3211} \, \log\left({\left| -\frac{13}{x + 5} + 2 \right|}\right)"," ",0,"451/8379*sqrt(3)*arctan(-sqrt(3)*(14/(x + 5) - 3)) - 79/273/(x + 5) - 481/5586*log(-9/(x + 5) + 21/(x + 5)^2 + 1) + 200/3211*log(abs(-13/(x + 5) + 2))","A",0
172,1,25,0,0.984541," ","integrate(x^4/(x^2+9)^3,x, algorithm=""giac"")","-\frac{5 \, x^{3} + 27 \, x}{8 \, {\left(x^{2} + 9\right)}^{2}} + \frac{1}{8} \, \arctan\left(\frac{1}{3} \, x\right)"," ",0,"-1/8*(5*x^3 + 27*x)/(x^2 + 9)^2 + 1/8*arctan(1/3*x)","A",0
173,1,71,0,0.931218," ","integrate(19*x/(-1+x)^3/(4*x^2+5*x+3)^2,x, algorithm=""giac"")","\frac{114437}{1218816} \, \sqrt{23} \arctan\left(\frac{1}{23} \, \sqrt{23} {\left(8 \, x + 5\right)}\right) + \frac{19 \, {\left(388 \, x^{3} - 407 \, x^{2} - 120 \, x - 45\right)}}{4416 \, {\left(4 \, x^{2} + 5 \, x + 3\right)} {\left(x - 1\right)}^{2}} - \frac{209}{4608} \, \log\left(4 \, x^{2} + 5 \, x + 3\right) + \frac{209}{2304} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"114437/1218816*sqrt(23)*arctan(1/23*sqrt(23)*(8*x + 5)) + 19/4416*(388*x^3 - 407*x^2 - 120*x - 45)/((4*x^2 + 5*x + 3)*(x - 1)^2) - 209/4608*log(4*x^2 + 5*x + 3) + 209/2304*log(abs(x - 1))","A",0
174,1,36,0,0.984951," ","integrate((x^3+x^2+1)/(x^4+x^3+2*x^2),x, algorithm=""giac"")","\frac{1}{28} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(2 \, x + 1\right)}\right) - \frac{1}{2 \, x} + \frac{5}{8} \, \log\left(x^{2} + x + 2\right) - \frac{1}{4} \, \log\left({\left| x \right|}\right)"," ",0,"1/28*sqrt(7)*arctan(1/7*sqrt(7)*(2*x + 1)) - 1/2/x + 5/8*log(x^2 + x + 2) - 1/4*log(abs(x))","A",0
175,1,38,0,0.969296," ","integrate(1/(x^6-x^3),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{2 \, x^{2}} - \frac{1}{6} \, \log\left(x^{2} + x + 1\right) + \frac{1}{3} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/2/x^2 - 1/6*log(x^2 + x + 1) + 1/3*log(abs(x - 1))","A",0
176,1,14,0,0.940758," ","integrate(x^2/(1+x),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} - x + \log\left({\left| x + 1 \right|}\right)"," ",0,"1/2*x^2 - x + log(abs(x + 1))","A",0
177,1,9,0,1.183741," ","integrate(x/(-5+x),x, algorithm=""giac"")","x + 5 \, \log\left({\left| x - 5 \right|}\right)"," ",0,"x + 5*log(abs(x - 5))","A",0
178,1,13,0,1.101445," ","integrate((-1+4*x)/(-1+x)/(2+x),x, algorithm=""giac"")","3 \, \log\left({\left| x + 2 \right|}\right) + \log\left({\left| x - 1 \right|}\right)"," ",0,"3*log(abs(x + 2)) + log(abs(x - 1))","A",0
179,1,13,0,1.007956," ","integrate(1/(1+x)/(2+x),x, algorithm=""giac"")","-\log\left({\left| x + 2 \right|}\right) + \log\left({\left| x + 1 \right|}\right)"," ",0,"-log(abs(x + 2)) + log(abs(x + 1))","A",0
180,1,13,0,1.003489," ","integrate((-5+6*x)/(3+2*x),x, algorithm=""giac"")","3 \, x - 7 \, \log\left({\left| 2 \, x + 3 \right|}\right)"," ",0,"3*x - 7*log(abs(2*x + 3))","A",0
181,1,28,0,0.906188," ","integrate(1/(a+x)/(b+x),x, algorithm=""giac"")","-\frac{\log\left({\left| a + x \right|}\right)}{a - b} + \frac{\log\left({\left| b + x \right|}\right)}{a - b}"," ",0,"-log(abs(a + x))/(a - b) + log(abs(b + x))/(a - b)","A",0
182,1,14,0,1.000315," ","integrate((x^2+1)/(x^2-x),x, algorithm=""giac"")","x + 2 \, \log\left({\left| x - 1 \right|}\right) - \log\left({\left| x \right|}\right)"," ",0,"x + 2*log(abs(x - 1)) - log(abs(x))","A",0
183,1,20,0,0.834095," ","integrate((x^3+x^2-12*x+1)/(x^2+x-12),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} - \frac{1}{7} \, \log\left({\left| x + 4 \right|}\right) + \frac{1}{7} \, \log\left({\left| x - 3 \right|}\right)"," ",0,"1/2*x^2 - 1/7*log(abs(x + 4)) + 1/7*log(abs(x - 3))","A",0
184,1,15,0,1.089299," ","integrate((3+2*x)/(1+x)^2,x, algorithm=""giac"")","-\frac{1}{x + 1} + 2 \, \log\left({\left| x + 1 \right|}\right)"," ",0,"-1/(x + 1) + 2*log(abs(x + 1))","A",0
185,1,22,0,0.863684," ","integrate(1/x/(1+x)/(3+2*x),x, algorithm=""giac"")","\frac{2}{3} \, \log\left({\left| 2 \, x + 3 \right|}\right) - \log\left({\left| x + 1 \right|}\right) + \frac{1}{3} \, \log\left({\left| x \right|}\right)"," ",0,"2/3*log(abs(2*x + 3)) - log(abs(x + 1)) + 1/3*log(abs(x))","A",0
186,1,18,0,0.927158," ","integrate((6*x^2+5*x-3)/(x^3+2*x^2-3*x),x, algorithm=""giac"")","3 \, \log\left({\left| x + 3 \right|}\right) + 2 \, \log\left({\left| x - 1 \right|}\right) + \log\left({\left| x \right|}\right)"," ",0,"3*log(abs(x + 3)) + 2*log(abs(x - 1)) + log(abs(x))","A",0
187,1,13,0,0.857254," ","integrate(x/(x^2+4*x+4),x, algorithm=""giac"")","\frac{2}{x + 2} + \log\left({\left| x + 2 \right|}\right)"," ",0,"2/(x + 2) + log(abs(x + 2))","A",0
188,1,21,0,0.966208," ","integrate(1/(-1+x)^2/(4+x),x, algorithm=""giac"")","-\frac{1}{5 \, {\left(x - 1\right)}} + \frac{1}{25} \, \log\left({\left| -\frac{5}{x - 1} - 1 \right|}\right)"," ",0,"-1/5/(x - 1) + 1/25*log(abs(-5/(x - 1) - 1))","A",0
189,1,26,0,0.971709," ","integrate(x^2/(-3+x)/(2+x)^2,x, algorithm=""giac"")","\frac{4}{5 \, {\left(x + 2\right)}} + \log\left({\left| x + 2 \right|}\right) + \frac{9}{25} \, \log\left({\left| -\frac{5}{x + 2} + 1 \right|}\right)"," ",0,"4/5/(x + 2) + log(abs(x + 2)) + 9/25*log(abs(-5/(x + 2) + 1))","A",0
190,1,16,0,0.883548," ","integrate((5*x^2+3*x-2)/(x^3+2*x^2),x, algorithm=""giac"")","\frac{1}{x} + 3 \, \log\left({\left| x + 2 \right|}\right) + 2 \, \log\left({\left| x \right|}\right)"," ",0,"1/x + 3*log(abs(x + 2)) + 2*log(abs(x))","A",0
191,1,20,0,0.899101," ","integrate((-4*x^2-2*x+18)/(x^3+4*x^2+x-6),x, algorithm=""giac"")","-3 \, \log\left({\left| x + 3 \right|}\right) - 2 \, \log\left({\left| x + 2 \right|}\right) + \log\left({\left| x - 1 \right|}\right)"," ",0,"-3*log(abs(x + 3)) - 2*log(abs(x + 2)) + log(abs(x - 1))","A",0
192,1,14,0,0.885828," ","integrate((x^2+2*x)/(x^3+3*x^2+4),x, algorithm=""giac"")","\frac{1}{3} \, \log\left({\left| x^{3} + 3 \, x^{2} + 4 \right|}\right)"," ",0,"1/3*log(abs(x^3 + 3*x^2 + 4))","A",0
193,1,30,0,0.946753," ","integrate(1/(-1+x)^2/x^2,x, algorithm=""giac"")","-\frac{1}{x - 1} + \frac{1}{\frac{1}{x - 1} + 1} + 2 \, \log\left({\left| -\frac{1}{x - 1} - 1 \right|}\right)"," ",0,"-1/(x - 1) + 1/(1/(x - 1) + 1) + 2*log(abs(-1/(x - 1) - 1))","A",0
194,1,18,0,0.926511," ","integrate(x^2/(1+x)^3,x, algorithm=""giac"")","\frac{4 \, x + 3}{2 \, {\left(x + 1\right)}^{2}} + \log\left({\left| x + 1 \right|}\right)"," ",0,"1/2*(4*x + 3)/(x + 1)^2 + log(abs(x + 1))","A",0
195,1,18,0,0.894654," ","integrate(1/(x^4-x^2),x, algorithm=""giac"")","\frac{1}{x} - \frac{1}{2} \, \log\left({\left| x + 1 \right|}\right) + \frac{1}{2} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"1/x - 1/2*log(abs(x + 1)) + 1/2*log(abs(x - 1))","B",0
196,1,13,0,0.863689," ","integrate((2*x^3-x)/(x^4-x^2+1),x, algorithm=""giac"")","\frac{1}{2} \, \log\left(x^{4} - x^{2} + 1\right)"," ",0,"1/2*log(x^4 - x^2 + 1)","A",0
197,1,14,0,1.027828," ","integrate(x^3/(x^2+1),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} - \frac{1}{2} \, \log\left(x^{2} + 1\right)"," ",0,"1/2*x^2 - 1/2*log(x^2 + 1)","A",0
198,1,18,0,0.914723," ","integrate((-1+x)/(x^2+2*x+2),x, algorithm=""giac"")","-2 \, \arctan\left(x + 1\right) + \frac{1}{2} \, \log\left(x^{2} + 2 \, x + 2\right)"," ",0,"-2*arctan(x + 1) + 1/2*log(x^2 + 2*x + 2)","A",0
199,1,26,0,0.931553," ","integrate(x/(x^2+x+1),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) + \frac{1}{2} \, \log\left(x^{2} + x + 1\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) + 1/2*log(x^2 + x + 1)","A",0
200,1,21,0,0.939022," ","integrate((4*x^2+5*x+7)/(4*x^2+4*x+5),x, algorithm=""giac"")","x + \frac{3}{8} \, \arctan\left(x + \frac{1}{2}\right) + \frac{1}{8} \, \log\left(4 \, x^{2} + 4 \, x + 5\right)"," ",0,"x + 3/8*arctan(x + 1/2) + 1/8*log(4*x^2 + 4*x + 5)","A",0
201,1,20,0,0.846106," ","integrate((3*x^2-4*x+5)/(-1+x)/(x^2+1),x, algorithm=""giac"")","-3 \, \arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 1\right) + 2 \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-3*arctan(x) + 1/2*log(x^2 + 1) + 2*log(abs(x - 1))","A",0
202,1,24,0,0.955348," ","integrate((3+2*x)/(x^3+3*x),x, algorithm=""giac"")","\frac{2}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} x\right) - \frac{1}{2} \, \log\left(x^{2} + 3\right) + \log\left({\left| x \right|}\right)"," ",0,"2/3*sqrt(3)*arctan(1/3*sqrt(3)*x) - 1/2*log(x^2 + 3) + log(abs(x))","A",0
203,1,33,0,1.015918," ","integrate(1/(x^3-1),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x + 1\right)}\right) - \frac{1}{6} \, \log\left(x^{2} + x + 1\right) + \frac{1}{3} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x + 1)) - 1/6*log(x^2 + x + 1) + 1/3*log(abs(x - 1))","A",0
204,1,36,0,0.874758," ","integrate(x^3/(x^3+1),x, algorithm=""giac"")","-\frac{1}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x - 1\right)}\right) + x + \frac{1}{6} \, \log\left(x^{2} - x + 1\right) - \frac{1}{3} \, \log\left({\left| x + 1 \right|}\right)"," ",0,"-1/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x - 1)) + x + 1/6*log(x^2 - x + 1) - 1/3*log(abs(x + 1))","A",0
205,1,47,0,0.946646," ","integrate((x^2-2*x-1)/(-1+x)^2/(x^2+1),x, algorithm=""giac"")","\frac{1}{4} \, \pi - \pi \left \lfloor \frac{\pi + 4 \, \arctan\left(x\right)}{4 \, \pi} + \frac{1}{2} \right \rfloor + \frac{1}{x - 1} + \arctan\left(x\right) - \frac{1}{2} \, \log\left(\frac{2}{x - 1} + \frac{2}{{\left(x - 1\right)}^{2}} + 1\right)"," ",0,"1/4*pi - pi*floor(1/4*(pi + 4*arctan(x))/pi + 1/2) + 1/(x - 1) + arctan(x) - 1/2*log(2/(x - 1) + 2/(x - 1)^2 + 1)","B",0
206,1,20,0,1.054070," ","integrate(x^4/(x^4-1),x, algorithm=""giac"")","x - \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,"x - 1/2*arctan(x) - 1/4*log(abs(x + 1)) + 1/4*log(abs(x - 1))","A",0
207,1,24,0,1.033183," ","integrate((3*x^3-x^2+6*x-4)/(x^2+1)/(x^2+2),x, algorithm=""giac"")","\sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} x\right) - 3 \, \arctan\left(x\right) + \frac{3}{2} \, \log\left(x^{2} + 1\right)"," ",0,"sqrt(2)*arctan(1/2*sqrt(2)*x) - 3*arctan(x) + 3/2*log(x^2 + 1)","A",0
208,1,17,0,0.942844," ","integrate((x^3-2*x^2+x+1)/(x^4+5*x^2+4),x, algorithm=""giac"")","-\frac{3}{2} \, \arctan\left(\frac{1}{2} \, x\right) + \arctan\left(x\right) + \frac{1}{2} \, \log\left(x^{2} + 4\right)"," ",0,"-3/2*arctan(1/2*x) + arctan(x) + 1/2*log(x^2 + 4)","A",0
209,1,32,0,0.932405," ","integrate((-3+x)/(x^2+2*x+4)^2,x, algorithm=""giac"")","-\frac{2}{9} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(x + 1\right)}\right) - \frac{4 \, x + 7}{6 \, {\left(x^{2} + 2 \, x + 4\right)}}"," ",0,"-2/9*sqrt(3)*arctan(1/3*sqrt(3)*(x + 1)) - 1/6*(4*x + 7)/(x^2 + 2*x + 4)","A",0
210,1,14,0,0.913951," ","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
211,1,15,0,1.038658," ","integrate(cos(x)*(-3+2*sin(x))/(2-3*sin(x)+sin(x)^2),x, algorithm=""giac"")","\log\left(-\sin\left(x\right) + 2\right) + \log\left(-\sin\left(x\right) + 1\right)"," ",0,"log(-sin(x) + 2) + log(-sin(x) + 1)","A",0
212,1,17,0,0.803115," ","integrate(cos(x)^2*sin(x)/(5+cos(x)^2),x, algorithm=""giac"")","\sqrt{5} \arctan\left(\frac{1}{5} \, \sqrt{5} \cos\left(x\right)\right) - \cos\left(x\right)"," ",0,"sqrt(5)*arctan(1/5*sqrt(5)*cos(x)) - cos(x)","A",0
213,1,15,0,0.842049," ","integrate(1/(x^2+2*x-3),x, algorithm=""giac"")","-\frac{1}{4} \, \log\left({\left| x + 3 \right|}\right) + \frac{1}{4} \, \log\left({\left| x - 1 \right|}\right)"," ",0,"-1/4*log(abs(x + 3)) + 1/4*log(abs(x - 1))","A",0
214,1,13,0,0.898472," ","integrate(1/(x^2-2*x),x, algorithm=""giac"")","\frac{1}{2} \, \log\left({\left| x - 2 \right|}\right) - \frac{1}{2} \, \log\left({\left| x \right|}\right)"," ",0,"1/2*log(abs(x - 2)) - 1/2*log(abs(x))","A",0
215,1,19,0,0.975915," ","integrate((1+2*x)/(4*x^2+12*x-7),x, algorithm=""giac"")","\frac{3}{8} \, \log\left({\left| 2 \, x + 7 \right|}\right) + \frac{1}{8} \, \log\left({\left| 2 \, x - 1 \right|}\right)"," ",0,"3/8*log(abs(2*x + 7)) + 1/8*log(abs(2*x - 1))","A",0
216,1,40,0,0.962764," ","integrate(x/(x^2+x-1),x, algorithm=""giac"")","-\frac{1}{10} \, \sqrt{5} \log\left(\frac{{\left| 2 \, x - \sqrt{5} + 1 \right|}}{{\left| 2 \, x + \sqrt{5} + 1 \right|}}\right) + \frac{1}{2} \, \log\left({\left| x^{2} + x - 1 \right|}\right)"," ",0,"-1/10*sqrt(5)*log(abs(2*x - sqrt(5) + 1)/abs(2*x + sqrt(5) + 1)) + 1/2*log(abs(x^2 + x - 1))","A",0
217,1,53,0,1.031836," ","integrate((4*x^3-27*x^2+5*x-32)/(30*x^5-13*x^4+50*x^3-286*x^2-299*x-70),x, algorithm=""giac"")","\frac{3988}{260015} \, \sqrt{19} \arctan\left(\frac{1}{19} \, \sqrt{19} {\left(2 \, x + 1\right)}\right) + \frac{11049}{260015} \, \log\left(x^{2} + x + 5\right) + \frac{4822}{4879} \, \log\left({\left| 5 \, x + 2 \right|}\right) - \frac{3146}{80155} \, \log\left({\left| 3 \, x - 7 \right|}\right) - \frac{334}{323} \, \log\left({\left| 2 \, x + 1 \right|}\right)"," ",0,"3988/260015*sqrt(19)*arctan(1/19*sqrt(19)*(2*x + 1)) + 11049/260015*log(x^2 + x + 5) + 4822/4879*log(abs(5*x + 2)) - 3146/80155*log(abs(3*x - 7)) - 334/323*log(abs(2*x + 1))","A",0
218,1,59,0,0.899870," ","integrate((12*x^5-7*x^3-13*x^2+8)/(100*x^6-80*x^5+116*x^4-80*x^3+41*x^2-20*x+4),x, algorithm=""giac"")","\frac{503}{15972} \, \sqrt{2} \arctan\left(\sqrt{2} x\right) - \frac{36458 \, x^{2} + 4675 \, x + 2554}{12100 \, {\left(2 \, x^{2} + 1\right)} {\left(5 \, x - 2\right)}} + \frac{2843}{7986} \, \log\left(2 \, x^{2} + 1\right) - \frac{59096}{99825} \, \log\left({\left| 5 \, x - 2 \right|}\right)"," ",0,"503/15972*sqrt(2)*arctan(sqrt(2)*x) - 1/12100*(36458*x^2 + 4675*x + 2554)/((2*x^2 + 1)*(5*x - 2)) + 2843/7986*log(2*x^2 + 1) - 59096/99825*log(abs(5*x - 2))","A",0
219,1,29,0,0.846289," ","integrate((4+x)^(1/2)/x,x, algorithm=""giac"")","2 \, \sqrt{x + 4} - 2 \, \log\left(\sqrt{x + 4} + 2\right) + 2 \, \log\left({\left| \sqrt{x + 4} - 2 \right|}\right)"," ",0,"2*sqrt(x + 4) - 2*log(sqrt(x + 4) + 2) + 2*log(abs(sqrt(x + 4) - 2))","A",0
220,1,139,0,1.633299," ","integrate(1/(-1/x^(1/3)+x^(1/2)),x, algorithm=""giac"")","\frac{3}{5} \, \sqrt{-2 \, \sqrt{5} + 10} \arctan\left(-\frac{\sqrt{5} - 4 \, x^{\frac{1}{6}} - 1}{\sqrt{2 \, \sqrt{5} + 10}}\right) - \frac{3}{5} \, \sqrt{2 \, \sqrt{5} + 10} \arctan\left(\frac{\sqrt{5} + 4 \, x^{\frac{1}{6}} + 1}{\sqrt{-2 \, \sqrt{5} + 10}}\right) + \frac{3}{10} \, \sqrt{5} \log\left(\frac{1}{2} \, x^{\frac{1}{6}} {\left(\sqrt{5} + 1\right)} + x^{\frac{1}{3}} + 1\right) - \frac{3}{10} \, \sqrt{5} \log\left(-\frac{1}{2} \, x^{\frac{1}{6}} {\left(\sqrt{5} - 1\right)} + x^{\frac{1}{3}} + 1\right) + 2 \, \sqrt{x} - \frac{3}{10} \, \log\left(x^{\frac{2}{3}} + \sqrt{x} + x^{\frac{1}{3}} + x^{\frac{1}{6}} + 1\right) + \frac{6}{5} \, \log\left({\left| x^{\frac{1}{6}} - 1 \right|}\right)"," ",0,"3/5*sqrt(-2*sqrt(5) + 10)*arctan(-(sqrt(5) - 4*x^(1/6) - 1)/sqrt(2*sqrt(5) + 10)) - 3/5*sqrt(2*sqrt(5) + 10)*arctan((sqrt(5) + 4*x^(1/6) + 1)/sqrt(-2*sqrt(5) + 10)) + 3/10*sqrt(5)*log(1/2*x^(1/6)*(sqrt(5) + 1) + x^(1/3) + 1) - 3/10*sqrt(5)*log(-1/2*x^(1/6)*(sqrt(5) - 1) + x^(1/3) + 1) + 2*sqrt(x) - 3/10*log(x^(2/3) + sqrt(x) + x^(1/3) + x^(1/6) + 1) + 6/5*log(abs(x^(1/6) - 1))","A",0
221,1,23,0,0.964525," ","integrate(1/(-4*cos(x)+3*sin(x)),x, algorithm=""giac"")","\frac{1}{5} \, \log\left({\left| 2 \, \tan\left(\frac{1}{2} \, x\right) - 1 \right|}\right) - \frac{1}{5} \, \log\left({\left| \tan\left(\frac{1}{2} \, x\right) + 2 \right|}\right)"," ",0,"1/5*log(abs(2*tan(1/2*x) - 1)) - 1/5*log(abs(tan(1/2*x) + 2))","A",0
222,1,14,0,1.053645," ","integrate(1/(1+x^(1/2)),x, algorithm=""giac"")","2 \, \sqrt{x} - 2 \, \log\left(\sqrt{x} + 1\right)"," ",0,"2*sqrt(x) - 2*log(sqrt(x) + 1)","A",0
223,1,20,0,0.924850," ","integrate(1/(1+1/x^(1/3)),x, algorithm=""giac"")","x - \frac{3}{2} \, x^{\frac{2}{3}} + 3 \, x^{\frac{1}{3}} - 3 \, \log\left(x^{\frac{1}{3}} + 1\right)"," ",0,"x - 3/2*x^(2/3) + 3*x^(1/3) - 3*log(x^(1/3) + 1)","A",0
224,1,12,0,0.910056," ","integrate(x^(1/2)/(1+x),x, algorithm=""giac"")","2 \, \sqrt{x} - 2 \, \arctan\left(\sqrt{x}\right)"," ",0,"2*sqrt(x) - 2*arctan(sqrt(x))","A",0
225,1,20,0,0.948986," ","integrate(1/x/(1+x)^(1/2),x, algorithm=""giac"")","-\log\left(\sqrt{x + 1} + 1\right) + \log\left({\left| \sqrt{x + 1} - 1 \right|}\right)"," ",0,"-log(sqrt(x + 1) + 1) + log(abs(sqrt(x + 1) - 1))","B",0
226,1,18,0,1.235563," ","integrate(1/(-x^(1/3)+x),x, algorithm=""giac"")","\frac{3}{2} \, \log\left(x^{\frac{1}{3}} + 1\right) + \frac{3}{2} \, \log\left({\left| x^{\frac{1}{3}} - 1 \right|}\right)"," ",0,"3/2*log(x^(1/3) + 1) + 3/2*log(abs(x^(1/3) - 1))","A",0
227,1,22,0,0.958437," ","integrate(1/(x-(2+x)^(1/2)),x, algorithm=""giac"")","\frac{2}{3} \, \log\left(\sqrt{x + 2} + 1\right) + \frac{4}{3} \, \log\left({\left| \sqrt{x + 2} - 2 \right|}\right)"," ",0,"2/3*log(sqrt(x + 2) + 1) + 4/3*log(abs(sqrt(x + 2) - 2))","A",0
228,1,22,0,1.014784," ","integrate(x^2/(-1+x)^(1/2),x, algorithm=""giac"")","\frac{2}{5} \, {\left(x - 1\right)}^{\frac{5}{2}} + \frac{4}{3} \, {\left(x - 1\right)}^{\frac{3}{2}} + 2 \, \sqrt{x - 1}"," ",0,"2/5*(x - 1)^(5/2) + 4/3*(x - 1)^(3/2) + 2*sqrt(x - 1)","A",0
229,1,24,0,1.057556," ","integrate((-1+x)^(1/2)/(1+x),x, algorithm=""giac"")","-2 \, \sqrt{2} \arctan\left(\frac{1}{2} \, \sqrt{2} \sqrt{x - 1}\right) + 2 \, \sqrt{x - 1}"," ",0,"-2*sqrt(2)*arctan(1/2*sqrt(2)*sqrt(x - 1)) + 2*sqrt(x - 1)","A",0
230,1,19,0,0.968155," ","integrate(1/(1+x^(1/2))^(1/2),x, algorithm=""giac"")","\frac{4}{3} \, {\left(\sqrt{x} + 1\right)}^{\frac{3}{2}} - 4 \, \sqrt{\sqrt{x} + 1}"," ",0,"4/3*(sqrt(x) + 1)^(3/2) - 4*sqrt(sqrt(x) + 1)","A",0
231,1,6,0,0.919001," ","integrate(x^(1/2)/(x^2+x),x, algorithm=""giac"")","2 \, \arctan\left(\sqrt{x}\right)"," ",0,"2*arctan(sqrt(x))","A",0
232,1,16,0,0.846490," ","integrate((1+x^(1/2))/(-1+x^(1/2)),x, algorithm=""giac"")","x + 4 \, \sqrt{x} + 4 \, \log\left({\left| \sqrt{x} - 1 \right|}\right)"," ",0,"x + 4*sqrt(x) + 4*log(abs(sqrt(x) - 1))","A",0
233,1,23,0,0.995450," ","integrate((1+1/x^(1/3))/(-1+1/x^(1/3)),x, algorithm=""giac"")","-x - 3 \, x^{\frac{2}{3}} - 6 \, x^{\frac{1}{3}} - 6 \, \log\left({\left| x^{\frac{1}{3}} - 1 \right|}\right)"," ",0,"-x - 3*x^(2/3) - 6*x^(1/3) - 6*log(abs(x^(1/3) - 1))","A",0
234,1,19,0,1.099492," ","integrate(x^3/(x^2+1)^(1/3),x, algorithm=""giac"")","\frac{3}{10} \, {\left(x^{2} + 1\right)}^{\frac{5}{3}} - \frac{3}{4} \, {\left(x^{2} + 1\right)}^{\frac{2}{3}}"," ",0,"3/10*(x^2 + 1)^(5/3) - 3/4*(x^2 + 1)^(2/3)","A",0
235,1,140,0,1.604413," ","integrate(x^(1/2)/(-1/x^(1/3)+x^(1/2)),x, algorithm=""giac"")","-\frac{3}{5} \, \sqrt{2 \, \sqrt{5} + 10} \arctan\left(-\frac{\sqrt{5} - 4 \, x^{\frac{1}{6}} - 1}{\sqrt{2 \, \sqrt{5} + 10}}\right) - \frac{3}{5} \, \sqrt{-2 \, \sqrt{5} + 10} \arctan\left(\frac{\sqrt{5} + 4 \, x^{\frac{1}{6}} + 1}{\sqrt{-2 \, \sqrt{5} + 10}}\right) - \frac{3}{10} \, \sqrt{5} \log\left(\frac{1}{2} \, x^{\frac{1}{6}} {\left(\sqrt{5} + 1\right)} + x^{\frac{1}{3}} + 1\right) + \frac{3}{10} \, \sqrt{5} \log\left(-\frac{1}{2} \, x^{\frac{1}{6}} {\left(\sqrt{5} - 1\right)} + x^{\frac{1}{3}} + 1\right) + x + 6 \, x^{\frac{1}{6}} - \frac{3}{10} \, \log\left(x^{\frac{2}{3}} + \sqrt{x} + x^{\frac{1}{3}} + x^{\frac{1}{6}} + 1\right) + \frac{6}{5} \, \log\left({\left| x^{\frac{1}{6}} - 1 \right|}\right)"," ",0,"-3/5*sqrt(2*sqrt(5) + 10)*arctan(-(sqrt(5) - 4*x^(1/6) - 1)/sqrt(2*sqrt(5) + 10)) - 3/5*sqrt(-2*sqrt(5) + 10)*arctan((sqrt(5) + 4*x^(1/6) + 1)/sqrt(-2*sqrt(5) + 10)) - 3/10*sqrt(5)*log(1/2*x^(1/6)*(sqrt(5) + 1) + x^(1/3) + 1) + 3/10*sqrt(5)*log(-1/2*x^(1/6)*(sqrt(5) - 1) + x^(1/3) + 1) + x + 6*x^(1/6) - 3/10*log(x^(2/3) + sqrt(x) + x^(1/3) + x^(1/6) + 1) + 6/5*log(abs(x^(1/6) - 1))","A",0
236,1,45,0,0.958820," ","integrate(1/(1/x^(1/4)+x^(1/2)),x, algorithm=""giac"")","-\frac{4}{3} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(2 \, x^{\frac{1}{4}} - 1\right)}\right) + 2 \, \sqrt{x} - \frac{2}{3} \, \log\left(\sqrt{x} - x^{\frac{1}{4}} + 1\right) + \frac{4}{3} \, \log\left(x^{\frac{1}{4}} + 1\right)"," ",0,"-4/3*sqrt(3)*arctan(1/3*sqrt(3)*(2*x^(1/4) - 1)) + 2*sqrt(x) - 2/3*log(sqrt(x) - x^(1/4) + 1) + 4/3*log(x^(1/4) + 1)","A",0
237,1,82,0,1.033513," ","integrate(1/(1/x^(1/3)+1/x^(1/4)),x, algorithm=""giac"")","\frac{4}{5} \, x^{\frac{5}{4}} - \frac{6}{7} \, x^{\frac{7}{6}} + \frac{12}{13} \, x^{\frac{13}{12}} - x + \frac{12}{11} \, x^{\frac{11}{12}} - \frac{6}{5} \, x^{\frac{5}{6}} + \frac{4}{3} \, x^{\frac{3}{4}} - \frac{3}{2} \, x^{\frac{2}{3}} + \frac{12}{7} \, x^{\frac{7}{12}} - 2 \, \sqrt{x} + \frac{12}{5} \, x^{\frac{5}{12}} - 3 \, x^{\frac{1}{3}} + 4 \, x^{\frac{1}{4}} - 6 \, x^{\frac{1}{6}} + 12 \, x^{\frac{1}{12}} - 12 \, \log\left(x^{\frac{1}{12}} + 1\right)"," ",0,"4/5*x^(5/4) - 6/7*x^(7/6) + 12/13*x^(13/12) - x + 12/11*x^(11/12) - 6/5*x^(5/6) + 4/3*x^(3/4) - 3/2*x^(2/3) + 12/7*x^(7/12) - 2*sqrt(x) + 12/5*x^(5/12) - 3*x^(1/3) + 4*x^(1/4) - 6*x^(1/6) + 12*x^(1/12) - 12*log(x^(1/12) + 1)","A",0
238,1,28,0,1.135455," ","integrate(((1-x)/x)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \pi \mathrm{sgn}\left(x\right) + \frac{1}{2} \, \arcsin\left(2 \, x - 1\right) \mathrm{sgn}\left(x\right) + \sqrt{-x^{2} + x} \mathrm{sgn}\left(x\right)"," ",0,"1/4*pi*sgn(x) + 1/2*arcsin(2*x - 1)*sgn(x) + sqrt(-x^2 + x)*sgn(x)","A",0
239,1,12,0,0.827816," ","integrate(cos(x)/(sin(x)+sin(x)^2),x, algorithm=""giac"")","-\log\left(\sin\left(x\right) + 1\right) + \log\left({\left| \sin\left(x\right) \right|}\right)"," ",0,"-log(sin(x) + 1) + log(abs(sin(x)))","A",0
240,1,15,0,0.883010," ","integrate(exp(2*x)/(2+3*exp(x)+exp(2*x)),x, algorithm=""giac"")","2 \, \log\left(e^{x} + 2\right) - \log\left(e^{x} + 1\right)"," ",0,"2*log(e^x + 2) - log(e^x + 1)","A",0
241,1,21,0,0.972881," ","integrate(1/(1+exp(x))^(1/2),x, algorithm=""giac"")","-\log\left(\sqrt{e^{x} + 1} + 1\right) + \log\left(\sqrt{e^{x} + 1} - 1\right)"," ",0,"-log(sqrt(e^x + 1) + 1) + log(sqrt(e^x + 1) - 1)","B",0
242,1,37,0,1.020376," ","integrate((1-exp(x))^(1/2),x, algorithm=""giac"")","2 \, \sqrt{-e^{x} + 1} - \log\left(\sqrt{-e^{x} + 1} + 1\right) + \log\left(-\sqrt{-e^{x} + 1} + 1\right)"," ",0,"2*sqrt(-e^x + 1) - log(sqrt(-e^x + 1) + 1) + log(-sqrt(-e^x + 1) + 1)","A",0
243,1,23,0,0.983736," ","integrate(1/(3-5*sin(x)),x, algorithm=""giac"")","-\frac{1}{4} \, \log\left({\left| 3 \, \tan\left(\frac{1}{2} \, x\right) - 1 \right|}\right) + \frac{1}{4} \, \log\left({\left| \tan\left(\frac{1}{2} \, x\right) - 3 \right|}\right)"," ",0,"-1/4*log(abs(3*tan(1/2*x) - 1)) + 1/4*log(abs(tan(1/2*x) - 3))","A",0
244,1,37,0,1.024481," ","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
245,1,17,0,0.938306," ","integrate(1/(1-cos(x)+sin(x)),x, algorithm=""giac"")","-\log\left({\left| \tan\left(\frac{1}{2} \, x\right) + 1 \right|}\right) + \log\left({\left| \tan\left(\frac{1}{2} \, x\right) \right|}\right)"," ",0,"-log(abs(tan(1/2*x) + 1)) + log(abs(tan(1/2*x)))","A",0
246,1,23,0,0.966822," ","integrate(1/(4*cos(x)+3*sin(x)),x, algorithm=""giac"")","\frac{1}{5} \, \log\left({\left| 2 \, \tan\left(\frac{1}{2} \, x\right) + 1 \right|}\right) - \frac{1}{5} \, \log\left({\left| \tan\left(\frac{1}{2} \, x\right) - 2 \right|}\right)"," ",0,"1/5*log(abs(2*tan(1/2*x) + 1)) - 1/5*log(abs(tan(1/2*x) - 2))","A",0
247,1,28,0,1.110974," ","integrate(1/(sin(x)+tan(x)),x, algorithm=""giac"")","\frac{\cos\left(x\right) - 1}{4 \, {\left(\cos\left(x\right) + 1\right)}} + \frac{1}{4} \, \log\left(-\frac{\cos\left(x\right) - 1}{\cos\left(x\right) + 1}\right)"," ",0,"1/4*(cos(x) - 1)/(cos(x) + 1) + 1/4*log(-(cos(x) - 1)/(cos(x) + 1))","A",0
248,1,28,0,1.146950," ","integrate(1/(2*sin(x)+sin(2*x)),x, algorithm=""giac"")","-\frac{\cos\left(x\right) - 1}{8 \, {\left(\cos\left(x\right) + 1\right)}} + \frac{1}{8} \, \log\left(-\frac{\cos\left(x\right) - 1}{\cos\left(x\right) + 1}\right)"," ",0,"-1/8*(cos(x) - 1)/(cos(x) + 1) + 1/8*log(-(cos(x) - 1)/(cos(x) + 1))","A",0
249,1,25,0,1.211553," ","integrate(sec(x)/(1+sin(x)),x, algorithm=""giac"")","-\frac{1}{2 \, {\left(\sin\left(x\right) + 1\right)}} + \frac{1}{4} \, \log\left(\sin\left(x\right) + 1\right) - \frac{1}{4} \, \log\left(-\sin\left(x\right) + 1\right)"," ",0,"-1/2/(sin(x) + 1) + 1/4*log(sin(x) + 1) - 1/4*log(-sin(x) + 1)","A",0
250,1,61,0,1.120022," ","integrate(1/(b*cos(x)+a*sin(x)),x, algorithm=""giac"")","-\frac{\log\left(\frac{{\left| 2 \, b \tan\left(\frac{1}{2} \, x\right) - 2 \, a - 2 \, \sqrt{a^{2} + b^{2}} \right|}}{{\left| 2 \, b \tan\left(\frac{1}{2} \, x\right) - 2 \, a + 2 \, \sqrt{a^{2} + b^{2}} \right|}}\right)}{\sqrt{a^{2} + b^{2}}}"," ",0,"-log(abs(2*b*tan(1/2*x) - 2*a - 2*sqrt(a^2 + b^2))/abs(2*b*tan(1/2*x) - 2*a + 2*sqrt(a^2 + b^2)))/sqrt(a^2 + b^2)","A",0
251,1,26,0,0.820630," ","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
252,1,9,0,0.862870," ","integrate(x/(x^2-1),x, algorithm=""giac"")","\frac{1}{2} \, \log\left({\left| x^{2} - 1 \right|}\right)"," ",0,"1/2*log(abs(x^2 - 1))","A",0
253,1,11,0,0.929123," ","integrate(x^(1/2)*(1+x^(1/2)),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} + \frac{2}{3} \, x^{\frac{3}{2}}"," ",0,"1/2*x^2 + 2/3*x^(3/2)","A",0
254,1,8,0,0.969149," ","integrate(1/(1-cos(x)),x, algorithm=""giac"")","-\frac{1}{\tan\left(\frac{1}{2} \, x\right)}"," ",0,"-1/tan(1/2*x)","A",0
255,1,29,0,1.125232," ","integrate(sec(x)*tan(x)^2,x, algorithm=""giac"")","-\frac{\sin\left(x\right)}{2 \, {\left(\sin\left(x\right)^{2} - 1\right)}} - \frac{1}{4} \, \log\left(\sin\left(x\right) + 1\right) + \frac{1}{4} \, \log\left(-\sin\left(x\right) + 1\right)"," ",0,"-1/2*sin(x)/(sin(x)^2 - 1) - 1/4*log(sin(x) + 1) + 1/4*log(-sin(x) + 1)","B",0
256,1,14,0,0.964934," ","integrate(sec(x)^3*tan(x)^3,x, algorithm=""giac"")","-\frac{5 \, \cos\left(x\right)^{2} - 3}{15 \, \cos\left(x\right)^{5}}"," ",0,"-1/15*(5*cos(x)^2 - 3)/cos(x)^5","A",0
257,1,11,0,0.990978," ","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
258,1,33,0,0.933611," ","integrate((x^5+1)/(x^3-3*x^2-10*x),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} + \frac{3}{2} \, x^{2} + 19 \, x - \frac{31}{14} \, \log\left({\left| x + 2 \right|}\right) + \frac{3126}{35} \, \log\left({\left| x - 5 \right|}\right) - \frac{1}{10} \, \log\left({\left| x \right|}\right)"," ",0,"1/3*x^3 + 3/2*x^2 + 19*x - 31/14*log(abs(x + 2)) + 3126/35*log(abs(x - 5)) - 1/10*log(abs(x))","A",0
259,1,6,0,0.924659," ","integrate(1/x/log(x)^(1/2),x, algorithm=""giac"")","2 \, \sqrt{\log\left(x\right)}"," ",0,"2*sqrt(log(x))","A",0
260,1,11,0,1.040177," ","integrate((5+2*x)/(-3+x),x, algorithm=""giac"")","2 \, x + 11 \, \log\left({\left| x - 3 \right|}\right)"," ",0,"2*x + 11*log(abs(x - 3))","A",0
261,1,3,0,0.943599," ","integrate(exp(x+exp(x)),x, algorithm=""giac"")","e^{\left(e^{x}\right)}"," ",0,"e^(e^x)","A",0
262,1,10,0,0.969236," ","integrate(cos(x)^2*sin(x)^2,x, algorithm=""giac"")","\frac{1}{8} \, x - \frac{1}{32} \, \sin\left(4 \, x\right)"," ",0,"1/8*x - 1/32*sin(4*x)","A",0
263,1,18,0,0.984857," ","integrate((-cos(x)+sin(x))/(cos(x)+sin(x)),x, algorithm=""giac"")","\frac{1}{2} \, \log\left(\tan\left(x\right)^{2} + 1\right) - \log\left({\left| \tan\left(x\right) + 1 \right|}\right)"," ",0,"1/2*log(tan(x)^2 + 1) - log(abs(tan(x) + 1))","B",0
264,1,11,0,0.983294," ","integrate(x/(-x^2+1)^(1/2),x, algorithm=""giac"")","-\sqrt{-x^{2} + 1}"," ",0,"-sqrt(-x^2 + 1)","A",0
265,1,13,0,0.931503," ","integrate(x^3*log(x),x, algorithm=""giac"")","\frac{1}{4} \, x^{4} \log\left(x\right) - \frac{1}{16} \, x^{4}"," ",0,"1/4*x^4*log(x) - 1/16*x^4","A",0
266,1,18,0,1.124166," ","integrate((-2+x)^(1/2)/(2+x),x, algorithm=""giac"")","2 \, \sqrt{x - 2} - 4 \, \arctan\left(\frac{1}{2} \, \sqrt{x - 2}\right)"," ",0,"2*sqrt(x - 2) - 4*arctan(1/2*sqrt(x - 2))","A",0
267,1,13,0,0.997257," ","integrate(x/(2+x)^2,x, algorithm=""giac"")","\frac{2}{x + 2} + \log\left({\left| x + 2 \right|}\right)"," ",0,"2/(x + 2) + log(abs(x + 2))","A",0
268,1,16,0,1.013342," ","integrate(log(x^2+1),x, algorithm=""giac"")","x \log\left(x^{2} + 1\right) - 2 \, x + 2 \, \arctan\left(x\right)"," ",0,"x*log(x^2 + 1) - 2*x + 2*arctan(x)","A",0
269,-1,0,0,0.000000," ","integrate((1+log(x))^(1/2)/x/log(x),x, algorithm=""giac"")","\text{Timed out}"," ",0,"Timed out","F(-1)",0
270,1,42,0,1.275213," ","integrate((1+x^(1/2))^8,x, algorithm=""giac"")","\frac{1}{5} \, x^{5} + \frac{16}{9} \, x^{\frac{9}{2}} + 7 \, x^{4} + 16 \, x^{\frac{7}{2}} + \frac{70}{3} \, x^{3} + \frac{112}{5} \, x^{\frac{5}{2}} + 14 \, x^{2} + \frac{16}{3} \, x^{\frac{3}{2}} + x"," ",0,"1/5*x^5 + 16/9*x^(9/2) + 7*x^4 + 16*x^(7/2) + 70/3*x^3 + 112/5*x^(5/2) + 14*x^2 + 16/3*x^(3/2) + x","B",0
271,1,14,0,1.397823," ","integrate(sec(x)^4*tan(x)^3,x, algorithm=""giac"")","-\frac{3 \, \cos\left(x\right)^{2} - 2}{12 \, \cos\left(x\right)^{6}}"," ",0,"-1/12*(3*cos(x)^2 - 2)/cos(x)^6","A",0
272,1,16,0,1.252929," ","integrate(x/(x^2-2*x+2),x, algorithm=""giac"")","\arctan\left(x - 1\right) + \frac{1}{2} \, \log\left(x^{2} - 2 \, x + 2\right)"," ",0,"arctan(x - 1) + 1/2*log(x^2 - 2*x + 2)","A",0
273,1,26,0,1.273262," ","integrate(x*arcsin(x),x, algorithm=""giac"")","\frac{1}{2} \, {\left(x^{2} - 1\right)} \arcsin\left(x\right) + \frac{1}{4} \, \sqrt{-x^{2} + 1} x + \frac{1}{4} \, \arcsin\left(x\right)"," ",0,"1/2*(x^2 - 1)*arcsin(x) + 1/4*sqrt(-x^2 + 1)*x + 1/4*arcsin(x)","A",0
274,1,40,0,1.396917," ","integrate((-x^2+9)^(1/2)/x,x, algorithm=""giac"")","\sqrt{-x^{2} + 9} - \frac{3}{2} \, \log\left(\sqrt{-x^{2} + 9} + 3\right) + \frac{3}{2} \, \log\left(-\sqrt{-x^{2} + 9} + 3\right)"," ",0,"sqrt(-x^2 + 9) - 3/2*log(sqrt(-x^2 + 9) + 3) + 3/2*log(-sqrt(-x^2 + 9) + 3)","A",0
275,1,15,0,1.268820," ","integrate(x/(x^2+3*x+2),x, algorithm=""giac"")","2 \, \log\left({\left| x + 2 \right|}\right) - \log\left({\left| x + 1 \right|}\right)"," ",0,"2*log(abs(x + 2)) - log(abs(x + 1))","A",0
276,1,27,0,1.329406," ","integrate(x^2*cosh(x),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(x^{2} + 2 \, x + 2\right)} e^{\left(-x\right)} + \frac{1}{2} \, {\left(x^{2} - 2 \, x + 2\right)} e^{x}"," ",0,"-1/2*(x^2 + 2*x + 2)*e^(-x) + 1/2*(x^2 - 2*x + 2)*e^x","A",0
277,1,18,0,1.298000," ","integrate((x^3+x+1)/(x^4+2*x^2+4*x),x, algorithm=""giac"")","\frac{1}{4} \, \log\left(4 \, {\left| \frac{1}{4} \, x^{4} + \frac{1}{2} \, x^{2} + x \right|}\right)"," ",0,"1/4*log(4*abs(1/4*x^4 + 1/2*x^2 + x))","A",0
278,1,3,0,0.939357," ","integrate(cos(x)/(1+sin(x)^2),x, algorithm=""giac"")","\arctan\left(\sin\left(x\right)\right)"," ",0,"arctan(sin(x))","A",0
279,1,16,0,1.019256," ","integrate(cos(x^(1/2)),x, algorithm=""giac"")","2 \, \sqrt{x} \sin\left(\sqrt{x}\right) + 2 \, \cos\left(\sqrt{x}\right)"," ",0,"2*sqrt(x)*sin(sqrt(x)) + 2*cos(sqrt(x))","A",0
280,1,9,0,0.929009," ","integrate(sin(pi*x),x, algorithm=""giac"")","-\frac{\cos\left(\pi x\right)}{\pi}"," ",0,"-cos(pi*x)/pi","A",0
281,1,10,0,1.003045," ","integrate(exp(2*x)/(1+exp(x)),x, algorithm=""giac"")","e^{x} - \log\left(e^{x} + 1\right)"," ",0,"e^x - log(e^x + 1)","A",0
282,1,19,0,1.008363," ","integrate(exp(3*x)*cos(5*x),x, algorithm=""giac"")","\frac{1}{34} \, {\left(3 \, \cos\left(5 \, x\right) + 5 \, \sin\left(5 \, x\right)\right)} e^{\left(3 \, x\right)}"," ",0,"1/34*(3*cos(5*x) + 5*sin(5*x))*e^(3*x)","A",0
283,1,13,0,1.038261," ","integrate(cos(3*x)*cos(5*x),x, algorithm=""giac"")","\frac{1}{16} \, \sin\left(8 \, x\right) + \frac{1}{4} \, \sin\left(2 \, x\right)"," ",0,"1/16*sin(8*x) + 1/4*sin(2*x)","A",0
284,1,20,0,0.922348," ","integrate(1/(x^3+x^2+x+1),x, algorithm=""giac"")","\frac{1}{2} \, \arctan\left(x\right) - \frac{1}{4} \, \log\left(x^{2} + 1\right) + \frac{1}{2} \, \log\left({\left| x + 1 \right|}\right)"," ",0,"1/2*arctan(x) - 1/4*log(x^2 + 1) + 1/2*log(abs(x + 1))","A",0
285,1,49,0,1.029508," ","integrate(x^2*log(1+x),x, algorithm=""giac"")","\frac{1}{3} \, {\left(x + 1\right)}^{3} \log\left(x + 1\right) - \frac{1}{9} \, {\left(x + 1\right)}^{3} - {\left(x + 1\right)}^{2} \log\left(x + 1\right) + \frac{1}{2} \, {\left(x + 1\right)}^{2} + {\left(x + 1\right)} \log\left(x + 1\right) - x - 1"," ",0,"1/3*(x + 1)^3*log(x + 1) - 1/9*(x + 1)^3 - (x + 1)^2*log(x + 1) + 1/2*(x + 1)^2 + (x + 1)*log(x + 1) - x - 1","A",0
286,1,13,0,0.873445," ","integrate(x^5/exp(x^3),x, algorithm=""giac"")","-\frac{1}{3} \, {\left(x^{3} + 1\right)} e^{\left(-x^{3}\right)}"," ",0,"-1/3*(x^3 + 1)*e^(-x^3)","A",0
287,1,10,0,1.294862," ","integrate(tan(4*x)^2,x, algorithm=""giac"")","-x + \frac{1}{4} \, \tan\left(4 \, x\right)"," ",0,"-x + 1/4*tan(4*x)","A",0
288,1,21,0,1.138427," ","integrate(1/(9*x^2+12*x-5)^(1/2),x, algorithm=""giac"")","-\frac{1}{3} \, \log\left({\left| -3 \, x + \sqrt{9 \, x^{2} + 12 \, x - 5} - 2 \right|}\right)"," ",0,"-1/3*log(abs(-3*x + sqrt(9*x^2 + 12*x - 5) - 2))","A",0
289,1,21,0,0.900009," ","integrate(x^2*arctan(x),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \arctan\left(x\right) - \frac{1}{6} \, x^{2} + \frac{1}{6} \, \log\left(x^{2} + 1\right)"," ",0,"1/3*x^3*arctan(x) - 1/6*x^2 + 1/6*log(x^2 + 1)","A",0
290,1,11,0,1.013130," ","integrate((1-x^(1/2))/x^(1/3),x, algorithm=""giac"")","-\frac{6}{7} \, x^{\frac{7}{6}} + \frac{3}{2} \, x^{\frac{2}{3}}"," ",0,"-6/7*x^(7/6) + 3/2*x^(2/3)","A",0
291,1,16,0,0.794274," ","integrate(1/(-1/exp(x)+exp(x)),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/2*log(e^x + 1) + 1/2*log(abs(e^x - 1))","B",0
292,1,10,0,1.651361," ","integrate(x/(x^4+2*x^2+10),x, algorithm=""giac"")","\frac{1}{6} \, \arctan\left(\frac{1}{3} \, x^{2} + \frac{1}{3}\right)"," ",0,"1/6*arctan(1/3*x^2 + 1/3)","A",0
293,1,32,0,0.897406," ","integrate(1/(1/x^(1/3)+x),x, algorithm=""giac"")","\frac{3}{4} \, \log\left(\sqrt{2} x^{\frac{1}{3}} + x^{\frac{2}{3}} + 1\right) + \frac{3}{4} \, \log\left(-\sqrt{2} x^{\frac{1}{3}} + x^{\frac{2}{3}} + 1\right)"," ",0,"3/4*log(sqrt(2)*x^(1/3) + x^(2/3) + 1) + 3/4*log(-sqrt(2)*x^(1/3) + x^(2/3) + 1)","B",0
294,1,22,0,0.909604," ","integrate(cos(x)^4*sin(x)^2,x, algorithm=""giac"")","\frac{1}{16} \, x - \frac{1}{192} \, \sin\left(6 \, x\right) - \frac{1}{64} \, \sin\left(4 \, x\right) + \frac{1}{64} \, \sin\left(2 \, x\right)"," ",0,"1/16*x - 1/192*sin(6*x) - 1/64*sin(4*x) + 1/64*sin(2*x)","A",0
295,1,6,0,1.017639," ","integrate(1/(-x^2-4*x+5)^(1/2),x, algorithm=""giac"")","\arcsin\left(\frac{1}{3} \, x + \frac{2}{3}\right)"," ",0,"arcsin(1/3*x + 2/3)","A",0
296,1,14,0,0.818718," ","integrate(x/(1-x^2+(-x^2+1)^(1/2)),x, algorithm=""giac"")","-\log\left(\sqrt{-x^{2} + 1} + 1\right)"," ",0,"-log(sqrt(-x^2 + 1) + 1)","A",0
297,1,7,0,0.834050," ","integrate((1+cos(x))*csc(x),x, algorithm=""giac"")","\log\left(-\cos\left(x\right) + 1\right)"," ",0,"log(-cos(x) + 1)","A",0
298,1,16,0,0.910206," ","integrate(exp(x)/(-1+exp(2*x)),x, algorithm=""giac"")","-\frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"-1/2*log(e^x + 1) + 1/2*log(abs(e^x - 1))","B",0
299,1,33,0,0.816038," ","integrate(1/(x^3-8),x, algorithm=""giac"")","-\frac{1}{12} \, \sqrt{3} \arctan\left(\frac{1}{3} \, \sqrt{3} {\left(x + 1\right)}\right) - \frac{1}{24} \, \log\left(x^{2} + 2 \, x + 4\right) + \frac{1}{12} \, \log\left({\left| x - 2 \right|}\right)"," ",0,"-1/12*sqrt(3)*arctan(1/3*sqrt(3)*(x + 1)) - 1/24*log(x^2 + 2*x + 4) + 1/12*log(abs(x - 2))","A",0
300,1,57,0,1.029995," ","integrate(x^5*cosh(x),x, algorithm=""giac"")","-\frac{1}{2} \, {\left(x^{5} + 5 \, x^{4} + 20 \, x^{3} + 60 \, x^{2} + 120 \, x + 120\right)} e^{\left(-x\right)} + \frac{1}{2} \, {\left(x^{5} - 5 \, x^{4} + 20 \, x^{3} - 60 \, x^{2} + 120 \, x - 120\right)} e^{x}"," ",0,"-1/2*(x^5 + 5*x^4 + 20*x^3 + 60*x^2 + 120*x + 120)*e^(-x) + 1/2*(x^5 - 5*x^4 + 20*x^3 - 60*x^2 + 120*x - 120)*e^x","A",0
301,1,7,0,1.077974," ","integrate(log(tan(x))/cos(x)/sin(x),x, algorithm=""giac"")","\frac{1}{2} \, \log\left(\tan\left(x\right)\right)^{2}"," ",0,"1/2*log(tan(x))^2","A",0
302,1,16,0,0.967180," ","integrate(x^3+x^2-2*x,x, algorithm=""giac"")","\frac{1}{4} \, x^{4} + \frac{1}{3} \, x^{3} - x^{2}"," ",0,"1/4*x^4 + 1/3*x^3 - x^2","A",0
303,1,10,0,1.283443," ","integrate((1+exp(x))/(1-exp(x)),x, algorithm=""giac"")","x - 2 \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"x - 2*log(abs(e^x - 1))","A",0
304,1,17,0,0.974007," ","integrate(x/(x^2+1)/(x^2+4),x, algorithm=""giac"")","-\frac{1}{6} \, \log\left(x^{2} + 4\right) + \frac{1}{6} \, \log\left(x^{2} + 1\right)"," ",0,"-1/6*log(x^2 + 4) + 1/6*log(x^2 + 1)","A",0
305,1,23,0,1.129814," ","integrate(1/(4-5*sin(x)),x, algorithm=""giac"")","-\frac{1}{3} \, \log\left({\left| 2 \, \tan\left(\frac{1}{2} \, x\right) - 1 \right|}\right) + \frac{1}{3} \, \log\left({\left| \tan\left(\frac{1}{2} \, x\right) - 2 \right|}\right)"," ",0,"-1/3*log(abs(2*tan(1/2*x) - 1)) + 1/3*log(abs(tan(1/2*x) - 2))","A",0
306,1,43,0,0.935797," ","integrate(x*(c+x)^(1/3),x, algorithm=""giac"")","\frac{3}{7} \, {\left(c + x\right)}^{\frac{7}{3}} - \frac{3}{2} \, {\left(c + x\right)}^{\frac{4}{3}} c + 3 \, {\left(c + x\right)}^{\frac{1}{3}} c^{2} + \frac{3}{4} \, {\left({\left(c + x\right)}^{\frac{4}{3}} - 4 \, {\left(c + x\right)}^{\frac{1}{3}} c\right)} c"," ",0,"3/7*(c + x)^(7/3) - 3/2*(c + x)^(4/3)*c + 3*(c + x)^(1/3)*c^2 + 3/4*((c + x)^(4/3) - 4*(c + x)^(1/3)*c)*c","B",0
307,1,16,0,1.073639," ","integrate(exp(x^(1/3)),x, algorithm=""giac"")","3 \, {\left(x^{\frac{2}{3}} - 2 \, x^{\frac{1}{3}} + 2\right)} e^{\left(x^{\frac{1}{3}}\right)}"," ",0,"3*(x^(2/3) - 2*x^(1/3) + 2)*e^(x^(1/3))","A",0
308,1,30,0,0.952096," ","integrate(1/(4+x+(1+x)^(1/2)),x, algorithm=""giac"")","-\frac{2}{11} \, \sqrt{11} \arctan\left(\frac{1}{11} \, \sqrt{11} {\left(2 \, \sqrt{x + 1} + 1\right)}\right) + \log\left(x + \sqrt{x + 1} + 4\right)"," ",0,"-2/11*sqrt(11)*arctan(1/11*sqrt(11)*(2*sqrt(x + 1) + 1)) + log(x + sqrt(x + 1) + 4)","A",0
309,1,17,0,0.982302," ","integrate((x^3+1)/(x^3-x^2),x, algorithm=""giac"")","x + \frac{1}{x} + 2 \, \log\left({\left| x - 1 \right|}\right) - \log\left({\left| x \right|}\right)"," ",0,"x + 1/x + 2*log(abs(x - 1)) - log(abs(x))","A",0
310,1,26,0,0.898603," ","integrate((x^2+4*x-3)*sin(2*x),x, algorithm=""giac"")","-\frac{1}{4} \, {\left(2 \, x^{2} + 8 \, x - 7\right)} \cos\left(2 \, x\right) + \frac{1}{2} \, {\left(x + 2\right)} \sin\left(2 \, x\right)"," ",0,"-1/4*(2*x^2 + 8*x - 7)*cos(2*x) + 1/2*(x + 2)*sin(2*x)","A",0
311,1,5,0,0.905918," ","integrate(cos(cos(x))*sin(x),x, algorithm=""giac"")","-\sin\left(\cos\left(x\right)\right)"," ",0,"-sin(cos(x))","A",0
312,1,4,0,0.979529," ","integrate(1/(-x^2+16)^(1/2),x, algorithm=""giac"")","\arcsin\left(\frac{1}{4} \, x\right)"," ",0,"arcsin(1/4*x)","A",0
313,1,22,0,0.874506," ","integrate(x^3/(1+x)^10,x, algorithm=""giac"")","-\frac{84 \, x^{3} + 36 \, x^{2} + 9 \, x + 1}{504 \, {\left(x + 1\right)}^{9}}"," ",0,"-1/504*(84*x^3 + 36*x^2 + 9*x + 1)/(x + 1)^9","A",0
314,1,18,0,1.024879," ","integrate(cot(2*x)^3*csc(2*x)^3,x, algorithm=""giac"")","\frac{5 \, \sin\left(2 \, x\right)^{2} - 3}{30 \, \sin\left(2 \, x\right)^{5}}"," ",0,"1/30*(5*sin(2*x)^2 - 3)/sin(2*x)^5","A",0
315,1,24,0,0.935021," ","integrate((x+sin(x))^2,x, algorithm=""giac"")","\frac{1}{3} \, x^{3} - 2 \, x \cos\left(x\right) + \frac{1}{2} \, x - \frac{1}{4} \, \sin\left(2 \, x\right) + 2 \, \sin\left(x\right)"," ",0,"1/3*x^3 - 2*x*cos(x) + 1/2*x - 1/4*sin(2*x) + 2*sin(x)","A",0
316,1,3,0,0.952579," ","integrate(exp(arctan(x))/(x^2+1),x, algorithm=""giac"")","e^{\arctan\left(x\right)}"," ",0,"e^arctan(x)","A",0
317,1,15,0,0.902625," ","integrate(1/x/(x^4+1),x, algorithm=""giac"")","-\frac{1}{4} \, \log\left(x^{4} + 1\right) + \frac{1}{4} \, \log\left(x^{4}\right)"," ",0,"-1/4*log(x^4 + 1) + 1/4*log(x^4)","A",0
318,1,21,0,0.943317," ","integrate(t^3/exp(2*t),t, algorithm=""giac"")","-\frac{1}{8} \, {\left(4 \, t^{3} + 6 \, t^{2} + 6 \, t + 3\right)} e^{\left(-2 \, t\right)}"," ",0,"-1/8*(4*t^3 + 6*t^2 + 6*t + 3)*e^(-2*t)","A",0
319,1,27,0,1.027713," ","integrate(t^(1/2)/(1+t^(1/3)),t, algorithm=""giac"")","\frac{6}{7} \, t^{\frac{7}{6}} - \frac{6}{5} \, t^{\frac{5}{6}} + 2 \, \sqrt{t} - 6 \, t^{\frac{1}{6}} + 6 \, \arctan\left(t^{\frac{1}{6}}\right)"," ",0,"6/7*t^(7/6) - 6/5*t^(5/6) + 2*sqrt(t) - 6*t^(1/6) + 6*arctan(t^(1/6))","A",0
320,1,13,0,0.988891," ","integrate(sin(x)*sin(2*x)*sin(3*x),x, algorithm=""giac"")","-\frac{4}{3} \, \sin\left(x\right)^{6} + \frac{3}{2} \, \sin\left(x\right)^{4}"," ",0,"-4/3*sin(x)^6 + 3/2*sin(x)^4","A",0
321,1,10,0,1.011125," ","integrate(log(1/2*x),x, algorithm=""giac"")","x \log\left(\frac{1}{2} \, x\right) - x"," ",0,"x*log(1/2*x) - x","A",0
322,1,30,0,1.132343," ","integrate(((1+x)/(1-x))^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \pi \mathrm{sgn}\left(x - 1\right) - \arcsin\left(x\right) \mathrm{sgn}\left(x - 1\right) + \sqrt{-x^{2} + 1} \mathrm{sgn}\left(x - 1\right)"," ",0,"1/2*pi*sgn(x - 1) - arcsin(x)*sgn(x - 1) + sqrt(-x^2 + 1)*sgn(x - 1)","A",0
323,1,28,0,0.941930," ","integrate(x*log(x)/(x^2-1)^(1/2),x, algorithm=""giac"")","\sqrt{x^{2} - 1} \log\left(x\right) - \sqrt{x^{2} - 1} + \arctan\left(\sqrt{x^{2} - 1}\right)"," ",0,"sqrt(x^2 - 1)*log(x) - sqrt(x^2 - 1) + arctan(sqrt(x^2 - 1))","A",0
324,1,17,0,1.027780," ","integrate((a+x)/(a^2+x^2),x, algorithm=""giac"")","\arctan\left(\frac{x}{a}\right) + \frac{1}{2} \, \log\left(a^{2} + x^{2}\right)"," ",0,"arctan(x/a) + 1/2*log(a^2 + x^2)","A",0
325,1,31,0,0.935571," ","integrate((-x^2+x+1)^(1/2),x, algorithm=""giac"")","\frac{1}{4} \, \sqrt{-x^{2} + x + 1} {\left(2 \, x - 1\right)} + \frac{5}{8} \, \arcsin\left(\frac{1}{5} \, \sqrt{5} {\left(2 \, x - 1\right)}\right)"," ",0,"1/4*sqrt(-x^2 + x + 1)*(2*x - 1) + 5/8*arcsin(1/5*sqrt(5)*(2*x - 1))","A",0
326,1,8,0,0.790932," ","integrate(x^4/(x^10+16),x, algorithm=""giac"")","\frac{1}{20} \, \arctan\left(\frac{1}{4} \, x^{5}\right)"," ",0,"1/20*arctan(1/4*x^5)","A",0
327,1,26,0,1.016298," ","integrate((2+x)/(x^2+x+2),x, algorithm=""giac"")","\frac{3}{7} \, \sqrt{7} \arctan\left(\frac{1}{7} \, \sqrt{7} {\left(2 \, x + 1\right)}\right) + \frac{1}{2} \, \log\left(x^{2} + x + 2\right)"," ",0,"3/7*sqrt(7)*arctan(1/7*sqrt(7)*(2*x + 1)) + 1/2*log(x^2 + x + 2)","A",0
328,1,150,0,1.025425," ","integrate(x*sec(x)*tan(x),x, algorithm=""giac"")","-\frac{2 \, x \tan\left(\frac{1}{2} \, x\right)^{2} + \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, x\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, x\right) + 1\right)}}{\tan\left(\frac{1}{2} \, x\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, x\right)^{2} - \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, x\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, x\right) + 1\right)}}{\tan\left(\frac{1}{2} \, x\right)^{2} + 1}\right) \tan\left(\frac{1}{2} \, x\right)^{2} + 2 \, x - \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, x\right)^{2} + 2 \, \tan\left(\frac{1}{2} \, x\right) + 1\right)}}{\tan\left(\frac{1}{2} \, x\right)^{2} + 1}\right) + \log\left(\frac{2 \, {\left(\tan\left(\frac{1}{2} \, x\right)^{2} - 2 \, \tan\left(\frac{1}{2} \, x\right) + 1\right)}}{\tan\left(\frac{1}{2} \, x\right)^{2} + 1}\right)}{2 \, {\left(\tan\left(\frac{1}{2} \, x\right)^{2} - 1\right)}}"," ",0,"-1/2*(2*x*tan(1/2*x)^2 + log(2*(tan(1/2*x)^2 + 2*tan(1/2*x) + 1)/(tan(1/2*x)^2 + 1))*tan(1/2*x)^2 - log(2*(tan(1/2*x)^2 - 2*tan(1/2*x) + 1)/(tan(1/2*x)^2 + 1))*tan(1/2*x)^2 + 2*x - log(2*(tan(1/2*x)^2 + 2*tan(1/2*x) + 1)/(tan(1/2*x)^2 + 1)) + log(2*(tan(1/2*x)^2 - 2*tan(1/2*x) + 1)/(tan(1/2*x)^2 + 1)))/(tan(1/2*x)^2 - 1)","B",0
329,1,30,0,1.065798," ","integrate(x/(-a^4+x^4),x, algorithm=""giac"")","-\frac{\log\left(a^{2} + x^{2}\right)}{4 \, a^{2}} + \frac{\log\left({\left| -a^{2} + x^{2} \right|}\right)}{4 \, a^{2}}"," ",0,"-1/4*log(a^2 + x^2)/a^2 + 1/4*log(abs(-a^2 + x^2))/a^2","B",0
330,1,13,0,1.098463," ","integrate(1/(x^(1/2)+(1+x)^(1/2)),x, algorithm=""giac"")","\frac{2}{3} \, {\left(x + 1\right)}^{\frac{3}{2}} - \frac{2}{3} \, x^{\frac{3}{2}}"," ",0,"2/3*(x + 1)^(3/2) - 2/3*x^(3/2)","A",0
331,1,18,0,0.970330," ","integrate(1/(1-1/exp(x)+2*exp(x)),x, algorithm=""giac"")","-\frac{1}{3} \, \log\left(e^{x} + 1\right) + \frac{1}{3} \, \log\left({\left| 2 \, e^{x} - 1 \right|}\right)"," ",0,"-1/3*log(e^x + 1) + 1/3*log(abs(2*e^x - 1))","A",0
332,1,16,0,0.906443," ","integrate(arctan(x^(1/2))/x^(1/2),x, algorithm=""giac"")","2 \, \sqrt{x} \arctan\left(\sqrt{x}\right) - \log\left(x + 1\right)"," ",0,"2*sqrt(x)*arctan(sqrt(x)) - log(x + 1)","A",0
333,1,20,0,0.860209," ","integrate(log(1+x)/x^2,x, algorithm=""giac"")","-\frac{\log\left(x + 1\right)}{x} - \log\left({\left| x + 1 \right|}\right) + \log\left({\left| x \right|}\right)"," ",0,"-log(x + 1)/x - log(abs(x + 1)) + log(abs(x))","A",0
334,1,20,0,0.883434," ","integrate(1/(-exp(x)+exp(3*x)),x, algorithm=""giac"")","e^{\left(-x\right)} - \frac{1}{2} \, \log\left(e^{x} + 1\right) + \frac{1}{2} \, \log\left({\left| e^{x} - 1 \right|}\right)"," ",0,"e^(-x) - 1/2*log(e^x + 1) + 1/2*log(abs(e^x - 1))","A",0
335,1,16,0,0.906463," ","integrate((1+cos(x)^2)/(-cos(x)^2+1),x, algorithm=""giac"")","-x - \frac{1}{\tan\left(\frac{1}{2} \, x\right)} + \tan\left(\frac{1}{2} \, x\right)"," ",0,"-x - 1/tan(1/2*x) + tan(1/2*x)","A",0
336,1,12,0,1.117831," ","integrate(1/x/(-25+2*x)^(1/2),x, algorithm=""giac"")","\frac{2}{5} \, \arctan\left(\frac{1}{5} \, \sqrt{2 \, x - 25}\right)"," ",0,"2/5*arctan(1/5*sqrt(2*x - 25))","A",0
337,1,9,0,1.038097," ","integrate(sin(2*x)/(9-cos(x)^4)^(1/2),x, algorithm=""giac"")","-\arcsin\left(\frac{1}{3} \, \cos\left(x\right)^{2}\right)"," ",0,"-arcsin(1/3*cos(x)^2)","A",0
338,1,22,0,0.995706," ","integrate(x^2/(-4*x^2+5)^(1/2),x, algorithm=""giac"")","-\frac{1}{8} \, \sqrt{-4 \, x^{2} + 5} x + \frac{5}{16} \, \arcsin\left(\frac{2}{5} \, \sqrt{5} x\right)"," ",0,"-1/8*sqrt(-4*x^2 + 5)*x + 5/16*arcsin(2/5*sqrt(5)*x)","A",0
339,1,21,0,0.957129," ","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
340,1,40,0,0.951701," ","integrate(x*(x^2+2*x+4)^(1/2),x, algorithm=""giac"")","\frac{1}{6} \, {\left({\left(2 \, x + 1\right)} x + 5\right)} \sqrt{x^{2} + 2 \, x + 4} + \frac{3}{2} \, \log\left(-x + \sqrt{x^{2} + 2 \, x + 4} - 1\right)"," ",0,"1/6*((2*x + 1)*x + 5)*sqrt(x^2 + 2*x + 4) + 3/2*log(-x + sqrt(x^2 + 2*x + 4) - 1)","A",0
341,1,9,0,0.982985," ","integrate(x*(x^2+5)^8,x, algorithm=""giac"")","\frac{1}{18} \, {\left(x^{2} + 5\right)}^{9}"," ",0,"1/18*(x^2 + 5)^9","A",0
342,1,19,0,0.869245," ","integrate(cos(x)^2*sin(x)^5,x, algorithm=""giac"")","-\frac{1}{7} \, \cos\left(x\right)^{7} + \frac{2}{5} \, \cos\left(x\right)^{5} - \frac{1}{3} \, \cos\left(x\right)^{3}"," ",0,"-1/7*cos(x)^7 + 2/5*cos(x)^5 - 1/3*cos(x)^3","A",0
343,1,19,0,0.923228," ","integrate(cos(4*x)/exp(3*x),x, algorithm=""giac"")","-\frac{1}{25} \, {\left(3 \, \cos\left(4 \, x\right) - 4 \, \sin\left(4 \, x\right)\right)} e^{\left(-3 \, x\right)}"," ",0,"-1/25*(3*cos(4*x) - 4*sin(4*x))*e^(-3*x)","A",0
344,1,70,0,1.043025," ","integrate(csc(1/2*x)^3,x, algorithm=""giac"")","-\frac{{\left(\frac{2 \, {\left(\cos\left(\frac{1}{2} \, x\right) - 1\right)}}{\cos\left(\frac{1}{2} \, x\right) + 1} - 1\right)} {\left(\cos\left(\frac{1}{2} \, x\right) + 1\right)}}{4 \, {\left(\cos\left(\frac{1}{2} \, x\right) - 1\right)}} - \frac{\cos\left(\frac{1}{2} \, x\right) - 1}{4 \, {\left(\cos\left(\frac{1}{2} \, x\right) + 1\right)}} + \frac{1}{2} \, \log\left(-\frac{\cos\left(\frac{1}{2} \, x\right) - 1}{\cos\left(\frac{1}{2} \, x\right) + 1}\right)"," ",0,"-1/4*(2*(cos(1/2*x) - 1)/(cos(1/2*x) + 1) - 1)*(cos(1/2*x) + 1)/(cos(1/2*x) - 1) - 1/4*(cos(1/2*x) - 1)/(cos(1/2*x) + 1) + 1/2*log(-(cos(1/2*x) - 1)/(cos(1/2*x) + 1))","B",0
345,1,44,0,1.027922," ","integrate((9*x^2-1)^(1/2)/x^2,x, algorithm=""giac"")","-\frac{6}{{\left(3 \, x - \sqrt{9 \, x^{2} - 1}\right)}^{2} + 1} - \frac{3}{2} \, \log\left({\left(3 \, x - \sqrt{9 \, x^{2} - 1}\right)}^{2}\right)"," ",0,"-6/((3*x - sqrt(9*x^2 - 1))^2 + 1) - 3/2*log((3*x - sqrt(9*x^2 - 1))^2)","A",0
346,1,38,0,0.951759," ","integrate((-3*x^2+4)^(1/2)/x,x, algorithm=""giac"")","\sqrt{-3 \, x^{2} + 4} - \log\left(\sqrt{-3 \, x^{2} + 4} + 2\right) + \log\left(-\sqrt{-3 \, x^{2} + 4} + 2\right)"," ",0,"sqrt(-3*x^2 + 4) - log(sqrt(-3*x^2 + 4) + 2) + log(-sqrt(-3*x^2 + 4) + 2)","A",0
347,1,16,0,0.885118," ","integrate(exp(3*x)*x^2,x, algorithm=""giac"")","\frac{1}{27} \, {\left(9 \, x^{2} - 6 \, x + 2\right)} e^{\left(3 \, x\right)}"," ",0,"1/27*(9*x^2 - 6*x + 2)*e^(3*x)","A",0
348,1,17,0,0.887024," ","integrate(cos(x)*sin(x)/(1+sin(x))^(1/2),x, algorithm=""giac"")","\frac{2}{3} \, {\left(\sin\left(x\right) + 1\right)}^{\frac{3}{2}} - 2 \, \sqrt{\sin\left(x\right) + 1}"," ",0,"2/3*(sin(x) + 1)^(3/2) - 2*sqrt(sin(x) + 1)","A",0
349,1,21,0,0.888145," ","integrate(x*arcsin(x^2),x, algorithm=""giac"")","\frac{1}{2} \, x^{2} \arcsin\left(x^{2}\right) + \frac{1}{2} \, \sqrt{-x^{4} + 1}"," ",0,"1/2*x^2*arcsin(x^2) + 1/2*sqrt(-x^4 + 1)","A",0
350,1,32,0,0.953130," ","integrate(x^3*arcsin(x^2),x, algorithm=""giac"")","\frac{1}{8} \, \sqrt{-x^{4} + 1} x^{2} + \frac{1}{4} \, {\left(x^{4} - 1\right)} \arcsin\left(x^{2}\right) + \frac{1}{8} \, \arcsin\left(x^{2}\right)"," ",0,"1/8*sqrt(-x^4 + 1)*x^2 + 1/4*(x^4 - 1)*arcsin(x^2) + 1/8*arcsin(x^2)","A",0
351,1,6,0,0.941254," ","integrate(exp(x)*sech(exp(x)),x, algorithm=""giac"")","2 \, \arctan\left(e^{\left(e^{x}\right)}\right)"," ",0,"2*arctan(e^(e^x))","A",0
352,1,21,0,0.919904," ","integrate(x^2*cos(3*x),x, algorithm=""giac"")","\frac{2}{9} \, x \cos\left(3 \, x\right) + \frac{1}{27} \, {\left(9 \, x^{2} - 2\right)} \sin\left(3 \, x\right)"," ",0,"2/9*x*cos(3*x) + 1/27*(9*x^2 - 2)*sin(3*x)","A",0
353,1,26,0,1.092812," ","integrate((-x^2-4*x+5)^(1/2),x, algorithm=""giac"")","\frac{1}{2} \, \sqrt{-x^{2} - 4 \, x + 5} {\left(x + 2\right)} + \frac{9}{2} \, \arcsin\left(\frac{1}{3} \, x + \frac{2}{3}\right)"," ",0,"1/2*sqrt(-x^2 - 4*x + 5)*(x + 2) + 9/2*arcsin(1/3*x + 2/3)","A",0
354,1,22,0,0.961862," ","integrate(x^5/(x^2+2^(1/2)),x, algorithm=""giac"")","\frac{1}{4} \, x^{4} - \frac{1}{2} \, \sqrt{2} x^{2} + \log\left(x^{2} + \sqrt{2}\right)"," ",0,"1/4*x^4 - 1/2*sqrt(2)*x^2 + log(x^2 + sqrt(2))","A",0
355,1,38,0,0.902057," ","integrate(sec(x)^5,x, algorithm=""giac"")","-\frac{3 \, \sin\left(x\right)^{3} - 5 \, \sin\left(x\right)}{8 \, {\left(\sin\left(x\right)^{2} - 1\right)}^{2}} + \frac{3}{16} \, \log\left(\sin\left(x\right) + 1\right) - \frac{3}{16} \, \log\left(-\sin\left(x\right) + 1\right)"," ",0,"-1/8*(3*sin(x)^3 - 5*sin(x))/(sin(x)^2 - 1)^2 + 3/16*log(sin(x) + 1) - 3/16*log(-sin(x) + 1)","A",0
356,1,22,0,1.019042," ","integrate(sin(2*x)^6,x, algorithm=""giac"")","\frac{5}{16} \, x - \frac{1}{384} \, \sin\left(12 \, x\right) + \frac{3}{128} \, \sin\left(8 \, x\right) - \frac{15}{128} \, \sin\left(4 \, x\right)"," ",0,"5/16*x - 1/384*sin(12*x) + 3/128*sin(8*x) - 15/128*sin(4*x)","A",0
357,1,16,0,1.042583," ","integrate(cos(x)*log(sin(x))*sin(x)^2,x, algorithm=""giac"")","\frac{1}{3} \, \log\left(\sin\left(x\right)\right) \sin\left(x\right)^{3} - \frac{1}{9} \, \sin\left(x\right)^{3}"," ",0,"1/3*log(sin(x))*sin(x)^3 - 1/9*sin(x)^3","A",0
358,1,19,0,0.857569," ","integrate(1/exp(x)/(1+2*exp(x)),x, algorithm=""giac"")","-2 \, x - e^{\left(-x\right)} + 2 \, \log\left(2 \, e^{x} + 1\right)"," ",0,"-2*x - e^(-x) + 2*log(2*e^x + 1)","A",0
359,1,50,0,1.048568," ","integrate((2+3*cos(x))^(1/2)*tan(x),x, algorithm=""giac"")","-\sqrt{2} \log\left(\frac{{\left| -2 \, \sqrt{2} + 2 \, \sqrt{3 \, \cos\left(x\right) + 2} \right|}}{2 \, {\left(\sqrt{2} + \sqrt{3 \, \cos\left(x\right) + 2}\right)}}\right) - 2 \, \sqrt{3 \, \cos\left(x\right) + 2}"," ",0,"-sqrt(2)*log(1/2*abs(-2*sqrt(2) + 2*sqrt(3*cos(x) + 2))/(sqrt(2) + sqrt(3*cos(x) + 2))) - 2*sqrt(3*cos(x) + 2)","A",0
360,1,28,0,1.131449," ","integrate(x/(x^2-4*x)^(1/2),x, algorithm=""giac"")","\sqrt{x^{2} - 4 \, x} - 2 \, \log\left({\left| -x + \sqrt{x^{2} - 4 \, x} + 2 \right|}\right)"," ",0,"sqrt(x^2 - 4*x) - 2*log(abs(-x + sqrt(x^2 - 4*x) + 2))","A",0
361,1,15,0,1.048046," ","integrate(cos(x)^5,x, algorithm=""giac"")","\frac{1}{5} \, \sin\left(x\right)^{5} - \frac{2}{3} \, \sin\left(x\right)^{3} + \sin\left(x\right)"," ",0,"1/5*sin(x)^5 - 2/3*sin(x)^3 + sin(x)","A",0
362,1,24,0,0.876624," ","integrate(x^4/exp(x),x, algorithm=""giac"")","-{\left(x^{4} + 4 \, x^{3} + 12 \, x^{2} + 24 \, x + 24\right)} e^{\left(-x\right)}"," ",0,"-(x^4 + 4*x^3 + 12*x^2 + 24*x + 24)*e^(-x)","A",0
363,1,17,0,1.014336," ","integrate(x^4/(x^10-2)^(1/2),x, algorithm=""giac"")","-\frac{1}{5} \, \log\left({\left| -x^{5} + \sqrt{x^{10} - 2} \right|}\right)"," ",0,"-1/5*log(abs(-x^5 + sqrt(x^10 - 2)))","A",0
364,1,19,0,0.955576," ","integrate(exp(x)*cos(4+3*x),x, algorithm=""giac"")","\frac{1}{10} \, {\left(\cos\left(3 \, x + 4\right) + 3 \, \sin\left(3 \, x + 4\right)\right)} e^{x}"," ",0,"1/10*(cos(3*x + 4) + 3*sin(3*x + 4))*e^x","A",0
365,1,16,0,1.039148," ","integrate(exp(x)*log(1+exp(x)),x, algorithm=""giac"")","{\left(e^{x} + 1\right)} \log\left(e^{x} + 1\right) - e^{x} - 1"," ",0,"(e^x + 1)*log(e^x + 1) - e^x - 1","A",0
366,1,21,0,0.958440," ","integrate(x^2*arctan(x),x, algorithm=""giac"")","\frac{1}{3} \, x^{3} \arctan\left(x\right) - \frac{1}{6} \, x^{2} + \frac{1}{6} \, \log\left(x^{2} + 1\right)"," ",0,"1/3*x^3*arctan(x) - 1/6*x^2 + 1/6*log(x^2 + 1)","A",0
367,1,20,0,0.868472," ","integrate((-1+exp(2*x))^(1/2),x, algorithm=""giac"")","\sqrt{e^{\left(2 \, x\right)} - 1} - \arctan\left(\sqrt{e^{\left(2 \, x\right)} - 1}\right)"," ",0,"sqrt(e^(2*x) - 1) - arctan(sqrt(e^(2*x) - 1))","A",0
368,1,9,0,0.948477," ","integrate(exp(sin(x))*sin(2*x),x, algorithm=""giac"")","2 \, {\left(\sin\left(x\right) - 1\right)} e^{\sin\left(x\right)}"," ",0,"2*(sin(x) - 1)*e^sin(x)","A",0
369,1,29,0,0.997315," ","integrate(x^2*(-x^2+5)^(1/2),x, algorithm=""giac"")","\frac{1}{8} \, {\left(2 \, x^{2} - 5\right)} \sqrt{-x^{2} + 5} x + \frac{25}{8} \, \arcsin\left(\frac{1}{5} \, \sqrt{5} x\right)"," ",0,"1/8*(2*x^2 - 5)*sqrt(-x^2 + 5)*x + 25/8*arcsin(1/5*sqrt(5)*x)","A",0
370,1,9,0,0.872808," ","integrate(x^2*(x^3+1)^4,x, algorithm=""giac"")","\frac{1}{15} \, {\left(x^{3} + 1\right)}^{5}"," ",0,"1/15*(x^3 + 1)^5","A",0
371,1,13,0,0.975223," ","integrate(cos(x)^3*sin(x)^3,x, algorithm=""giac"")","\frac{1}{6} \, \cos\left(x\right)^{6} - \frac{1}{4} \, \cos\left(x\right)^{4}"," ",0,"1/6*cos(x)^6 - 1/4*cos(x)^4","A",0
372,1,13,0,0.857265," ","integrate(sec(x)^4*tan(x)^2,x, algorithm=""giac"")","\frac{1}{5} \, \tan\left(x\right)^{5} + \frac{1}{3} \, \tan\left(x\right)^{3}"," ",0,"1/5*tan(x)^5 + 1/3*tan(x)^3","A",0
373,1,19,0,0.937245," ","integrate(x*(1+2*x)^(1/2),x, algorithm=""giac"")","\frac{1}{10} \, {\left(2 \, x + 1\right)}^{\frac{5}{2}} - \frac{1}{6} \, {\left(2 \, x + 1\right)}^{\frac{3}{2}}"," ",0,"1/10*(2*x + 1)^(5/2) - 1/6*(2*x + 1)^(3/2)","A",0
374,1,16,0,0.901675," ","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
375,1,16,0,1.026918," ","integrate(tan(x)^3,x, algorithm=""giac"")","\frac{1}{2} \, \tan\left(x\right)^{2} - \frac{1}{2} \, \log\left(\tan\left(x\right)^{2} + 1\right)"," ",0,"1/2*tan(x)^2 - 1/2*log(tan(x)^2 + 1)","A",0
376,1,28,0,0.990291," ","integrate(x^5*(x^2+1)^(1/2),x, algorithm=""giac"")","\frac{1}{7} \, {\left(x^{2} + 1\right)}^{\frac{7}{2}} - \frac{2}{5} \, {\left(x^{2} + 1\right)}^{\frac{5}{2}} + \frac{1}{3} \, {\left(x^{2} + 1\right)}^{\frac{3}{2}}"," ",0,"1/7*(x^2 + 1)^(7/2) - 2/5*(x^2 + 1)^(5/2) + 1/3*(x^2 + 1)^(3/2)","A",0
