1,1,12,11,0.003000," ","int(x^n,x)","\frac{x^{n +1}}{n +1}"," ",0,"x^(n+1)/(n+1)","A"
2,1,3,2,0.002000," ","int(exp(x),x)","{\mathrm e}^{x}"," ",0,"exp(x)","A"
3,1,3,2,0.000000," ","int(1/x,x)","\ln \left(x \right)"," ",0,"ln(x)","A"
4,1,9,8,0.001000," ","int(a^x,x)","\frac{a^{x}}{\ln \left(a \right)}"," ",0,"a^x/ln(a)","A"
5,1,5,4,0.000000," ","int(sin(x),x)","-\cos \left(x \right)"," ",0,"-cos(x)","A"
6,1,3,2,0.000000," ","int(cos(x),x)","\sin \left(x \right)"," ",0,"sin(x)","A"
7,1,3,2,0.011000," ","int(sec(x)^2,x)","\tan \left(x \right)"," ",0,"tan(x)","A"
8,1,5,4,0.014000," ","int(csc(x)^2,x)","-\cot \left(x \right)"," ",0,"-cot(x)","A"
9,1,3,2,0.013000," ","int(sec(x)*tan(x),x)","\sec \left(x \right)"," ",0,"sec(x)","A"
10,1,5,4,0.015000," ","int(cot(x)*csc(x),x)","-\csc \left(x \right)"," ",0,"-csc(x)","A"
11,1,3,2,0.002000," ","int(sinh(x),x)","\cosh \left(x \right)"," ",0,"cosh(x)","A"
12,1,3,2,0.000000," ","int(cosh(x),x)","\sinh \left(x \right)"," ",0,"sinh(x)","A"
13,1,6,5,0.001000," ","int(tan(x),x)","-\ln \left(\cos \left(x \right)\right)"," ",0,"-ln(cos(x))","A"
14,1,4,3,0.000000," ","int(cot(x),x)","\ln \left(\sin \left(x \right)\right)"," ",0,"ln(sin(x))","A"
15,1,9,8,0.000000," ","int(x*sin(x),x)","-x \cos \left(x \right)+\sin \left(x \right)"," ",0,"-x*cos(x)+sin(x)","A"
16,1,9,8,0.002000," ","int(ln(x),x)","x \ln \left(x \right)-x"," ",0,"x*ln(x)-x","A"
17,1,12,16,0.000000," ","int(exp(x)*x^2,x)","\left(x^{2}-2 x +2\right) {\mathrm e}^{x}"," ",0,"(x^2-2*x+2)*exp(x)","A"
18,1,14,13,0.000000," ","int(exp(x)*sin(x),x)","-\frac{\cos \left(x \right) {\mathrm e}^{x}}{2}+\frac{{\mathrm e}^{x} \sin \left(x \right)}{2}"," ",0,"-1/2*cos(x)*exp(x)+1/2*exp(x)*sin(x)","A"
19,1,14,13,0.002000," ","int(arctan(x),x)","x \arctan \left(x \right)-\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"x*arctan(x)-1/2*ln(x^2+1)","A"
20,1,12,14,0.003000," ","int(x*exp(2*x),x)","\frac{\left(2 x -1\right) {\mathrm e}^{2 x}}{4}"," ",0,"1/4*(2*x-1)*exp(2*x)","A"
21,1,8,7,0.000000," ","int(x*cos(x),x)","x \sin \left(x \right)+\cos \left(x \right)"," ",0,"x*sin(x)+cos(x)","A"
22,1,15,14,0.016000," ","int(x*sin(4*x),x)","-\frac{x \cos \left(4 x \right)}{4}+\frac{\sin \left(4 x \right)}{16}"," ",0,"-1/4*x*cos(4*x)+1/16*sin(4*x)","A"
23,1,14,13,0.001000," ","int(x*ln(x),x)","\frac{x^{2} \ln \left(x \right)}{2}-\frac{x^{2}}{4}"," ",0,"1/2*x^2*ln(x)-1/4*x^2","A"
24,1,24,23,0.017000," ","int(x^2*cos(3*x),x)","\frac{x^{2} \sin \left(3 x \right)}{3}+\frac{2 x \cos \left(3 x \right)}{9}-\frac{2 \sin \left(3 x \right)}{27}"," ",0,"2/9*x*cos(3*x)-2/27*sin(3*x)+1/3*x^2*sin(3*x)","A"
25,1,24,23,0.022000," ","int(x^2*sin(2*x),x)","-\frac{x^{2} \cos \left(2 x \right)}{2}+\frac{x \sin \left(2 x \right)}{2}+\frac{\cos \left(2 x \right)}{4}"," ",0,"1/4*cos(2*x)-1/2*x^2*cos(2*x)+1/2*x*sin(2*x)","A"
26,1,16,15,0.000000," ","int(ln(x)^2,x)","x \ln \left(x \right)^{2}-2 x \ln \left(x \right)+2 x"," ",0,"x*ln(x)^2-2*x*ln(x)+2*x","A"
27,1,15,14,0.001000," ","int(arcsin(x),x)","x \arcsin \left(x \right)+\sqrt{-x^{2}+1}"," ",0,"x*arcsin(x)+(-x^2+1)^(1/2)","A"
28,1,18,17,0.004000," ","int(t*cos(t)*sin(t),t)","-\frac{t \left(\cos^{2}\left(t \right)\right)}{2}+\frac{\cos \left(t \right) \sin \left(t \right)}{4}+\frac{t}{4}"," ",0,"-1/2*t*cos(t)^2+1/4*cos(t)*sin(t)+1/4*t","A"
29,1,9,8,0.016000," ","int(t*sec(t)^2,t)","t \tan \left(t \right)+\ln \left(\cos \left(t \right)\right)"," ",0,"ln(cos(t))+t*tan(t)","A"
30,1,14,13,0.003000," ","int(t^2*ln(t),t)","\frac{t^{3} \ln \left(t \right)}{3}-\frac{t^{3}}{9}"," ",0,"-1/9*t^3+1/3*t^3*ln(t)","A"
31,1,17,23,0.003000," ","int(exp(t)*t^3,t)","\left(t^{3}-3 t^{2}+6 t -6\right) {\mathrm e}^{t}"," ",0,"(t^3-3*t^2+6*t-6)*exp(t)","A"
32,1,22,21,0.014000," ","int(exp(2*t)*sin(3*t),t)","-\frac{3 \cos \left(3 t \right) {\mathrm e}^{2 t}}{13}+\frac{2 \,{\mathrm e}^{2 t} \sin \left(3 t \right)}{13}"," ",0,"-3/13*exp(2*t)*cos(3*t)+2/13*exp(2*t)*sin(3*t)","A"
33,1,22,21,0.017000," ","int(cos(3*t)/exp(t),t)","-\frac{\cos \left(3 t \right) {\mathrm e}^{-t}}{10}+\frac{3 \,{\mathrm e}^{-t} \sin \left(3 t \right)}{10}"," ",0,"-1/10*exp(-t)*cos(3*t)+3/10*exp(-t)*sin(3*t)","A"
34,1,10,9,0.002000," ","int(y*sinh(y),y)","y \cosh \left(y \right)-\sinh \left(y \right)"," ",0,"y*cosh(y)-sinh(y)","A"
35,1,19,19,0.018000," ","int(y*cosh(a*y),y)","\frac{a y \sinh \left(a y \right)-\cosh \left(a y \right)}{a^{2}}"," ",0,"1/a^2*(y*a*sinh(a*y)-cosh(a*y))","A"
36,1,10,14,0.000000," ","int(t/exp(t),t)","-\left(t +1\right) {\mathrm e}^{-t}"," ",0,"-(t+1)/exp(t)","A"
37,1,14,13,0.008000," ","int(ln(t)*t^(1/2),t)","\frac{2 t^{\frac{3}{2}} \ln \left(t \right)}{3}-\frac{4 t^{\frac{3}{2}}}{9}"," ",0,"-4/9*t^(3/2)+2/3*t^(3/2)*ln(t)","A"
38,1,15,14,0.016000," ","int(x*cos(2*x),x)","\frac{x \sin \left(2 x \right)}{2}+\frac{\cos \left(2 x \right)}{4}"," ",0,"1/4*cos(2*x)+1/2*x*sin(2*x)","A"
39,1,15,23,0.003000," ","int(x^2/exp(x),x)","-\left(x^{2}+2 x +2\right) {\mathrm e}^{-x}"," ",0,"-(x^2+2*x+2)/exp(x)","A"
40,1,17,16,0.001000," ","int(arccos(x),x)","x \arccos \left(x \right)-\sqrt{-x^{2}+1}"," ",0,"x*arccos(x)-(-x^2+1)^(1/2)","A"
41,1,10,9,0.013000," ","int(x*csc(x)^2,x)","-x \cot \left(x \right)+\ln \left(\sin \left(x \right)\right)"," ",0,"-x*cot(x)+ln(sin(x))","A"
42,1,14,13,0.142000," ","int(cos(5*x)*sin(3*x),x)","\frac{\cos \left(2 x \right)}{4}-\frac{\cos \left(8 x \right)}{16}"," ",0,"1/4*cos(2*x)-1/16*cos(8*x)","A"
43,1,9,13,0.027000," ","int(sin(2*x)*sin(4*x),x)","\frac{\left(\sin^{3}\left(2 x \right)\right)}{3}"," ",0,"1/3*sin(2*x)^3","A"
44,1,12,11,0.015000," ","int(cos(x)*ln(sin(x)),x)","\ln \left(\sin \left(x \right)\right) \sin \left(x \right)-\sin \left(x \right)"," ",0,"-sin(x)+ln(sin(x))*sin(x)","A"
45,1,12,16,0.003000," ","int(exp(x^2)*x^3,x)","\frac{\left(x^{2}-1\right) {\mathrm e}^{x^{2}}}{2}"," ",0,"1/2*(x^2-1)*exp(x^2)","A"
46,1,9,13,0.001000," ","int(exp(x)*(2*x+3),x)","\left(2 x +1\right) {\mathrm e}^{x}"," ",0,"(2*x+1)*exp(x)","A"
47,1,15,19,0.007000," ","int(5^x*x,x)","\frac{\left(\ln \left(5\right) x -1\right) 5^{x}}{\ln \left(5\right)^{2}}"," ",0,"(ln(5)*x-1)*5^x/ln(5)^2","A"
48,1,14,13,0.001000," ","int(cos(ln(x)),x)","\frac{x \cos \left(\ln \left(x \right)\right)}{2}+\frac{x \sin \left(\ln \left(x \right)\right)}{2}"," ",0,"1/2*x*cos(ln(x))+1/2*x*sin(ln(x))","A"
49,1,17,16,0.000000," ","int(exp(x^(1/2)),x)","2 \sqrt{x}\, {\mathrm e}^{\sqrt{x}}-2 \,{\mathrm e}^{\sqrt{x}}"," ",0,"2*x^(1/2)*exp(x^(1/2))-2*exp(x^(1/2))","A"
50,1,10,9,0.003000," ","int(1/2*ln(x),x)","\frac{x \ln \left(x \right)}{2}-\frac{x}{2}"," ",0,"-1/2*x+1/2*x*ln(x)","A"
51,1,14,13,0.002000," ","int(sin(ln(x)),x)","-\frac{x \cos \left(\ln \left(x \right)\right)}{2}+\frac{x \sin \left(\ln \left(x \right)\right)}{2}"," ",0,"-1/2*x*cos(ln(x))+1/2*x*sin(ln(x))","A"
52,1,17,16,0.002000," ","int(sin(x^(1/2)),x)","-2 \sqrt{x}\, \cos \left(\sqrt{x}\right)+2 \sin \left(\sqrt{x}\right)"," ",0,"-2*x^(1/2)*cos(x^(1/2))+2*sin(x^(1/2))","A"
53,1,17,16,0.021000," ","int(x^5*cos(x^3),x)","\frac{x^{3} \sin \left(x^{3}\right)}{3}+\frac{\cos \left(x^{3}\right)}{3}"," ",0,"1/3*cos(x^3)+1/3*x^3*sin(x^3)","A"
54,1,17,23,0.003000," ","int(exp(x^2)*x^5,x)","\frac{\left(x^{4}-2 x^{2}+2\right) {\mathrm e}^{x^{2}}}{2}"," ",0,"1/2*(x^4-2*x^2+2)*exp(x^2)","A"
55,1,16,15,0.000000," ","int(x*arctan(x),x)","\frac{x^{2} \arctan \left(x \right)}{2}-\frac{x}{2}+\frac{\arctan \left(x \right)}{2}"," ",0,"1/2*x^2*arctan(x)-1/2*x+1/2*arctan(x)","A"
56,1,17,18,0.019000," ","int(x*cos(Pi*x),x)","\frac{\pi  x \sin \left(\pi  x \right)+\cos \left(\pi  x \right)}{\pi^{2}}"," ",0,"1/Pi^2*(cos(Pi*x)+x*Pi*sin(Pi*x))","A"
57,1,14,13,0.002000," ","int(ln(x)*x^(1/2),x)","\frac{2 x^{\frac{3}{2}} \ln \left(x \right)}{3}-\frac{4 x^{\frac{3}{2}}}{9}"," ",0,"-4/9*x^(3/2)+2/3*x^(3/2)*ln(x)","A"
58,1,15,14,0.020000," ","int(sin(3*x)^2,x)","-\frac{\cos \left(3 x \right) \sin \left(3 x \right)}{6}+\frac{x}{2}"," ",0,"1/2*x-1/6*cos(3*x)*sin(3*x)","A"
59,1,11,10,0.000000," ","int(cos(x)^2,x)","\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}"," ",0,"1/2*cos(x)*sin(x)+1/2*x","A"
60,1,18,18,0.000000," ","int(cos(x)^4,x)","\frac{3 x}{8}+\frac{\left(\cos^{3}\left(x \right)+\frac{3 \cos \left(x \right)}{2}\right) \sin \left(x \right)}{4}"," ",0,"3/8*x+1/4*(cos(x)^3+3/2*cos(x))*sin(x)","A"
61,1,11,11,0.002000," ","int(sin(x)^3,x)","-\frac{\left(\sin^{2}\left(x \right)+2\right) \cos \left(x \right)}{3}"," ",0,"-1/3*(sin(x)^2+2)*cos(x)","A"
62,1,18,13,0.008000," ","int(cos(x)^4*sin(x)^3,x)","-\frac{\left(\cos^{5}\left(x \right)\right) \left(\sin^{2}\left(x \right)\right)}{7}-\frac{2 \left(\cos^{5}\left(x \right)\right)}{35}"," ",0,"-1/7*cos(x)^5*sin(x)^2-2/35*cos(x)^5","A"
63,1,30,13,0.009000," ","int(cos(x)^3*sin(x)^4,x)","-\frac{\left(\cos^{4}\left(x \right)\right) \left(\sin^{3}\left(x \right)\right)}{7}-\frac{3 \left(\cos^{4}\left(x \right)\right) \sin \left(x \right)}{35}+\frac{\left(\cos^{2}\left(x \right)+2\right) \sin \left(x \right)}{35}"," ",0,"-1/7*cos(x)^4*sin(x)^3-3/35*sin(x)*cos(x)^4+1/35*(cos(x)^2+2)*sin(x)","B"
64,1,29,28,0.010000," ","int(cos(x)^2*sin(x)^4,x)","-\frac{\left(\cos^{3}\left(x \right)\right) \left(\sin^{3}\left(x \right)\right)}{6}-\frac{\left(\cos^{3}\left(x \right)\right) \sin \left(x \right)}{8}+\frac{\cos \left(x \right) \sin \left(x \right)}{16}+\frac{x}{16}"," ",0,"1/16*x+1/16*cos(x)*sin(x)-1/8*cos(x)^3*sin(x)-1/6*cos(x)^3*sin(x)^3","A"
65,1,19,18,0.000000," ","int(cos(x)^2*sin(x)^2,x)","-\frac{\left(\cos^{3}\left(x \right)\right) \sin \left(x \right)}{4}+\frac{\cos \left(x \right) \sin \left(x \right)}{8}+\frac{x}{8}"," ",0,"-1/4*cos(x)^3*sin(x)+1/8*cos(x)*sin(x)+1/8*x","A"
66,1,19,18,0.052000," ","int((1-sin(2*x))^2,x)","-\frac{\cos \left(2 x \right) \sin \left(2 x \right)}{4}+\frac{3 x}{2}+\cos \left(2 x \right)"," ",0,"3/2*x+cos(2*x)-1/4*cos(2*x)*sin(2*x)","A"
67,1,15,14,0.075000," ","int(cos(x)*sin(1/6*Pi+x),x)","\frac{x}{4}-\frac{\cos \left(2 x +\frac{\pi}{6}\right)}{4}"," ",0,"1/4*x-1/4*cos(1/6*Pi+2*x)","A"
68,1,28,19,0.013000," ","int(cos(x)^5*sin(x)^5,x)","-\frac{\left(\cos^{6}\left(x \right)\right) \left(\sin^{4}\left(x \right)\right)}{10}-\frac{\left(\cos^{6}\left(x \right)\right) \left(\sin^{2}\left(x \right)\right)}{20}-\frac{\left(\cos^{6}\left(x \right)\right)}{60}"," ",0,"-1/10*cos(x)^6*sin(x)^4-1/20*sin(x)^2*cos(x)^6-1/60*cos(x)^6","A"
69,1,24,26,0.000000," ","int(sin(x)^6,x)","\frac{5 x}{16}-\frac{\left(\sin^{5}\left(x \right)+\frac{5 \left(\sin^{3}\left(x \right)\right)}{4}+\frac{15 \sin \left(x \right)}{8}\right) \cos \left(x \right)}{6}"," ",0,"5/16*x-1/6*(sin(x)^5+5/4*sin(x)^3+15/8*sin(x))*cos(x)","A"
70,1,24,26,0.103000," ","int(cos(x)^6,x)","\frac{5 x}{16}+\frac{\left(\cos^{5}\left(x \right)+\frac{5 \left(\cos^{3}\left(x \right)\right)}{4}+\frac{15 \cos \left(x \right)}{8}\right) \sin \left(x \right)}{6}"," ",0,"1/6*(cos(x)^5+5/4*cos(x)^3+15/8*cos(x))*sin(x)+5/16*x","A"
71,1,36,38,0.017000," ","int(cos(2*x)^4*sin(2*x)^2,x)","-\frac{\left(\cos^{5}\left(2 x \right)\right) \sin \left(2 x \right)}{12}+\frac{x}{16}+\frac{\left(\cos^{3}\left(2 x \right)+\frac{3 \cos \left(2 x \right)}{2}\right) \sin \left(2 x \right)}{48}"," ",0,"-1/12*cos(2*x)^5*sin(2*x)+1/48*(cos(2*x)^3+3/2*cos(2*x))*sin(2*x)+1/16*x","A"
72,1,17,17,0.000000," ","int(sin(x)^5,x)","-\frac{\left(\sin^{4}\left(x \right)+\frac{4 \left(\sin^{2}\left(x \right)\right)}{3}+\frac{8}{3}\right) \cos \left(x \right)}{5}"," ",0,"-1/5*(sin(x)^4+4/3*sin(x)^2+8/3)*cos(x)","A"
73,1,36,36,0.011000," ","int(cos(x)^4*sin(x)^4,x)","-\frac{\left(\cos^{5}\left(x \right)\right) \left(\sin^{3}\left(x \right)\right)}{8}-\frac{\left(\cos^{5}\left(x \right)\right) \sin \left(x \right)}{16}+\frac{3 x}{128}+\frac{\left(\cos^{3}\left(x \right)+\frac{3 \cos \left(x \right)}{2}\right) \sin \left(x \right)}{64}"," ",0,"-1/8*cos(x)^5*sin(x)^3-1/16*cos(x)^5*sin(x)+1/64*(cos(x)^3+3/2*cos(x))*sin(x)+3/128*x","A"
74,1,39,13,0.057000," ","int(sin(x)^3*cos(x)^(1/2),x)","-\frac{8 \sqrt{-2 \left(\sin^{2}\left(\frac{x}{2}\right)\right)+1}\, \left(6 \left(\sin^{6}\left(\frac{x}{2}\right)\right)-9 \left(\sin^{4}\left(\frac{x}{2}\right)\right)+\sin^{2}\left(\frac{x}{2}\right)+1\right)}{21}"," ",0,"-8/21*(-2*sin(1/2*x)^2+1)^(1/2)*(6*sin(1/2*x)^6-9*sin(1/2*x)^4+sin(1/2*x)^2+1)","B"
75,1,14,13,0.039000," ","int(cos(x)^3*sin(x)^(1/2),x)","-\frac{2 \left(\sin^{\frac{7}{2}}\left(x \right)\right)}{7}+\frac{2 \left(\sin^{\frac{3}{2}}\left(x \right)\right)}{3}"," ",0,"2/3*sin(x)^(3/2)-2/7*sin(x)^(7/2)","A"
76,1,14,13,0.038000," ","int(cos(x^(1/2))^2/x^(1/2),x)","\cos \left(\sqrt{x}\right) \sin \left(\sqrt{x}\right)+\sqrt{x}"," ",0,"cos(x^(1/2))*sin(x^(1/2))+x^(1/2)","A"
77,1,15,15,0.021000," ","int(x*sin(x^2)^3,x)","-\frac{\left(\sin^{2}\left(x^{2}\right)+2\right) \cos \left(x^{2}\right)}{6}"," ",0,"-1/6*(2+sin(x^2)^2)*cos(x^2)","A"
78,1,13,12,0.024000," ","int(cos(x)^2*tan(x)^3,x)","-\frac{\left(\sin^{2}\left(x \right)\right)}{2}-\ln \left(\cos \left(x \right)\right)"," ",0,"-1/2*sin(x)^2-ln(cos(x))","A"
79,1,29,18,0.033000," ","int(cot(x)^5*sin(x)^2,x)","-\frac{\cos^{6}\left(x \right)}{2 \sin \left(x \right)^{2}}-\frac{\left(\cos^{4}\left(x \right)\right)}{2}-\left(\cos^{2}\left(x \right)\right)-2 \ln \left(\sin \left(x \right)\right)"," ",0,"-1/2/sin(x)^2*cos(x)^6-1/2*cos(x)^4-cos(x)^2-2*ln(sin(x))","A"
80,1,6,5,0.042000," ","int((-sin(x)+1)/cos(x),x)","\ln \left(\sin \left(x \right)+1\right)"," ",0,"ln(sin(x)+1)","A"
81,1,11,11,0.036000," ","int(1/(-sin(x)+1),x)","-\frac{2}{\tan \left(\frac{x}{2}\right)-1}"," ",0,"-2/(tan(1/2*x)-1)","A"
82,1,7,6,0.000000," ","int(tan(x)^2,x)","-x +\tan \left(x \right)"," ",0,"-x+tan(x)","A"
83,1,13,12,0.000000," ","int(tan(x)^4,x)","\frac{\left(\tan^{3}\left(x \right)\right)}{3}+x -\tan \left(x \right)"," ",0,"1/3*tan(x)^3+x-tan(x)","A"
84,1,13,9,0.101000," ","int(sec(x)^4,x)","-\left(-\frac{\left(\sec^{2}\left(x \right)\right)}{3}-\frac{2}{3}\right) \tan \left(x \right)"," ",0,"-(-2/3-1/3*sec(x)^2)*tan(x)","A"
85,1,19,15,0.114000," ","int(sec(x)^6,x)","-\left(-\frac{\left(\sec^{4}\left(x \right)\right)}{5}-\frac{4 \left(\sec^{2}\left(x \right)\right)}{15}-\frac{8}{15}\right) \tan \left(x \right)"," ",0,"-(-8/15-1/5*sec(x)^4-4/15*sec(x)^2)*tan(x)","A"
86,1,11,6,0.029000," ","int(sec(x)^2*tan(x)^4,x)","\frac{\sin^{5}\left(x \right)}{5 \cos \left(x \right)^{5}}"," ",0,"1/5*sin(x)^5/cos(x)^5","A"
87,1,22,13,0.026000," ","int(sec(x)^4*tan(x)^2,x)","\frac{2 \left(\sin^{3}\left(x \right)\right)}{15 \cos \left(x \right)^{3}}+\frac{\sin^{3}\left(x \right)}{5 \cos \left(x \right)^{5}}"," ",0,"1/5*sin(x)^3/cos(x)^5+2/15*sin(x)^3/cos(x)^3","A"
88,1,7,6,0.020000," ","int(sec(x)^3*tan(x),x)","\frac{\left(\sec^{3}\left(x \right)\right)}{3}"," ",0,"1/3*sec(x)^3","A"
89,1,42,13,0.027000," ","int(sec(x)^3*tan(x)^3,x)","-\frac{\sin^{4}\left(x \right)}{15 \cos \left(x \right)}-\frac{\left(\sin^{2}\left(x \right)+2\right) \cos \left(x \right)}{15}+\frac{\sin^{4}\left(x \right)}{15 \cos \left(x \right)^{3}}+\frac{\sin^{4}\left(x \right)}{5 \cos \left(x \right)^{5}}"," ",0,"1/5*sin(x)^4/cos(x)^5+1/15*sin(x)^4/cos(x)^3-1/15*sin(x)^4/cos(x)-1/15*(sin(x)^2+2)*cos(x)","B"
90,1,23,18,0.002000," ","int(tan(x)^5,x)","\frac{\left(\tan^{4}\left(x \right)\right)}{4}-\frac{\left(\tan^{2}\left(x \right)\right)}{2}+\frac{\ln \left(\tan^{2}\left(x \right)+1\right)}{2}"," ",0,"1/4*tan(x)^4-1/2*tan(x)^2+1/2*ln(tan(x)^2+1)","A"
91,1,19,18,0.003000," ","int(tan(x)^6,x)","\frac{\left(\tan^{5}\left(x \right)\right)}{5}-\frac{\left(\tan^{3}\left(x \right)\right)}{3}-x +\tan \left(x \right)"," ",0,"-x+tan(x)-1/3*tan(x)^3+1/5*tan(x)^5","A"
92,1,48,15,0.024000," ","int(sec(x)*tan(x)^5,x)","\frac{\sin^{6}\left(x \right)}{5 \cos \left(x \right)}-\frac{\sin^{6}\left(x \right)}{15 \cos \left(x \right)^{3}}+\frac{\left(\sin^{4}\left(x \right)+\frac{4 \left(\sin^{2}\left(x \right)\right)}{3}+\frac{8}{3}\right) \cos \left(x \right)}{5}+\frac{\sin^{6}\left(x \right)}{5 \cos \left(x \right)^{5}}"," ",0,"1/5*sin(x)^6/cos(x)^5-1/15*sin(x)^6/cos(x)^3+1/5*sin(x)^6/cos(x)+1/5*(sin(x)^4+4/3*sin(x)^2+8/3)*cos(x)","B"
93,1,58,19,0.029000," ","int(sec(x)^3*tan(x)^5,x)","\frac{\sin^{6}\left(x \right)}{35 \cos \left(x \right)}-\frac{\sin^{6}\left(x \right)}{105 \cos \left(x \right)^{3}}+\frac{\left(\sin^{4}\left(x \right)+\frac{4 \left(\sin^{2}\left(x \right)\right)}{3}+\frac{8}{3}\right) \cos \left(x \right)}{35}+\frac{\sin^{6}\left(x \right)}{35 \cos \left(x \right)^{5}}+\frac{\sin^{6}\left(x \right)}{7 \cos \left(x \right)^{7}}"," ",0,"1/7*sin(x)^6/cos(x)^7+1/35/cos(x)^5*sin(x)^6-1/105/cos(x)^3*sin(x)^6+1/35/cos(x)*sin(x)^6+1/35*(sin(x)^4+4/3*sin(x)^2+8/3)*cos(x)","B"
94,1,7,6,0.019000," ","int(sec(x)^6*tan(x),x)","\frac{\left(\sec^{6}\left(x \right)\right)}{6}"," ",0,"1/6*sec(x)^6","A"
95,1,32,13,0.031000," ","int(sec(x)^6*tan(x)^3,x)","\frac{\sin^{4}\left(x \right)}{24 \cos \left(x \right)^{4}}+\frac{\sin^{4}\left(x \right)}{12 \cos \left(x \right)^{6}}+\frac{\sin^{4}\left(x \right)}{8 \cos \left(x \right)^{8}}"," ",0,"1/8*sin(x)^4/cos(x)^8+1/12*sin(x)^4/cos(x)^6+1/24*sin(x)^4/cos(x)^4","B"
96,1,7,6,0.024000," ","int(sec(x)^2/cot(x),x)","\frac{\left(\sec^{2}\left(x \right)\right)}{2}"," ",0,"1/2*sec(x)^2","A"
97,1,24,12,0.021000," ","int(sec(x)*tan(x)^2,x)","\frac{\sin^{3}\left(x \right)}{2 \cos \left(x \right)^{2}}-\frac{\ln \left(\sec \left(x \right)+\tan \left(x \right)\right)}{2}+\frac{\sin \left(x \right)}{2}"," ",0,"1/2*sin(x)^3/cos(x)^2+1/2*sin(x)-1/2*ln(sec(x)+tan(x))","A"
98,1,12,8,0.000000," ","int(cot(x)^2,x)","-x -\cot \left(x \right)+\frac{\pi}{2}"," ",0,"-x-cot(x)+1/2*Pi","A"
99,1,17,12,0.006000," ","int(cot(x)^3,x)","-\frac{\left(\cot^{2}\left(x \right)\right)}{2}+\frac{\ln \left(\cot^{2}\left(x \right)+1\right)}{2}"," ",0,"-1/2*cot(x)^2+1/2*ln(cot(x)^2+1)","A"
100,1,22,13,0.030000," ","int(cot(x)^4*csc(x)^4,x)","-\frac{2 \left(\cos^{5}\left(x \right)\right)}{35 \sin \left(x \right)^{5}}-\frac{\cos^{5}\left(x \right)}{7 \sin \left(x \right)^{7}}"," ",0,"-1/7/sin(x)^7*cos(x)^5-2/35/sin(x)^5*cos(x)^5","A"
101,1,22,13,0.028000," ","int(cot(x)^3*csc(x)^4,x)","-\frac{\cos^{4}\left(x \right)}{12 \sin \left(x \right)^{4}}-\frac{\cos^{4}\left(x \right)}{6 \sin \left(x \right)^{6}}"," ",0,"-1/6/sin(x)^6*cos(x)^4-1/12/sin(x)^4*cos(x)^4","A"
102,1,9,5,0.003000," ","int(csc(x),x)","-\ln \left(\cot \left(x \right)+\csc \left(x \right)\right)"," ",0,"-ln(csc(x)+cot(x))","A"
103,1,18,12,0.108000," ","int(csc(x)^3,x)","-\frac{\cot \left(x \right) \csc \left(x \right)}{2}+\frac{\ln \left(-\cot \left(x \right)+\csc \left(x \right)\right)}{2}"," ",0,"-1/2*cot(x)*csc(x)+1/2*ln(csc(x)-cot(x))","A"
104,1,12,8,0.020000," ","int(cos(x)^2/sin(x),x)","\cos \left(x \right)+\ln \left(-\cot \left(x \right)+\csc \left(x \right)\right)"," ",0,"cos(x)+ln(-cot(x)+csc(x))","A"
105,1,12,11,0.100000," ","int(1/sin(x)^4,x)","\left(-\frac{\left(\csc^{2}\left(x \right)\right)}{3}-\frac{2}{3}\right) \cot \left(x \right)"," ",0,"(-2/3-1/3*csc(x)^2)*cot(x)","A"
106,1,14,13,0.099000," ","int(sin(2*x)*sin(5*x),x)","\frac{\sin \left(3 x \right)}{6}-\frac{\sin \left(7 x \right)}{14}"," ",0,"1/6*sin(3*x)-1/14*sin(7*x)","A"
107,1,14,13,0.057000," ","int(cos(x)*sin(3*x),x)","-\left(\cos^{4}\left(x \right)\right)+\frac{\left(\cos^{2}\left(x \right)\right)}{2}"," ",0,"-cos(x)^4+1/2*cos(x)^2","A"
108,1,12,11,0.102000," ","int(cos(3*x)*cos(4*x),x)","\frac{\sin \left(x \right)}{2}+\frac{\sin \left(7 x \right)}{14}"," ",0,"1/2*sin(x)+1/14*sin(7*x)","A"
109,1,9,13,0.027000," ","int(sin(3*x)*sin(6*x),x)","\frac{2 \left(\sin^{3}\left(3 x \right)\right)}{9}"," ",0,"2/9*sin(3*x)^3","A"
110,1,7,6,0.005000," ","int(cos(x)^5*sin(x),x)","-\frac{\left(\cos^{6}\left(x \right)\right)}{6}"," ",0,"-1/6*cos(x)^6","A"
111,1,23,22,0.090000," ","int(cos(x)*cos(2*x)*cos(3*x),x)","\frac{x}{4}+\frac{\sin \left(2 x \right)}{8}+\frac{\sin \left(4 x \right)}{16}+\frac{\sin \left(6 x \right)}{24}"," ",0,"1/4*x+1/8*sin(2*x)+1/16*sin(4*x)+1/24*sin(6*x)","A"
112,1,6,5,0.033000," ","int((1-tan(x)^2)/sec(x)^2,x)","\cos \left(x \right) \sin \left(x \right)"," ",0,"cos(x)*sin(x)","A"
113,1,20,11,0.097000," ","int((cos(x)+sin(x))/sin(2*x),x)","\frac{\ln \left(-\cot \left(x \right)+\csc \left(x \right)\right)}{2}+\frac{\ln \left(\sec \left(x \right)+\tan \left(x \right)\right)}{2}"," ",0,"1/2*ln(sec(x)+tan(x))+1/2*ln(-cot(x)+csc(x))","A"
114,1,13,12,0.028000," ","int(sin(x)^2*tan(x),x)","-\frac{\left(\sin^{2}\left(x \right)\right)}{2}-\ln \left(\cos \left(x \right)\right)"," ",0,"-1/2*sin(x)^2-ln(cos(x))","A"
115,1,29,18,0.031000," ","int(cos(x)^2*cot(x)^3,x)","-\frac{\cos^{6}\left(x \right)}{2 \sin \left(x \right)^{2}}-\frac{\left(\cos^{4}\left(x \right)\right)}{2}-\left(\cos^{2}\left(x \right)\right)-2 \ln \left(\sin \left(x \right)\right)"," ",0,"-1/2*cos(x)^6/sin(x)^2-1/2*cos(x)^4-cos(x)^2-2*ln(sin(x))","A"
116,1,7,6,0.001000," ","int(sec(x)^3*tan(x),x)","\frac{\left(\sec^{3}\left(x \right)\right)}{3}"," ",0,"1/3*sec(x)^3","A"
117,1,42,13,0.000000," ","int(sec(x)^3*tan(x)^3,x)","-\frac{\sin^{4}\left(x \right)}{15 \cos \left(x \right)}-\frac{\left(\sin^{2}\left(x \right)+2\right) \cos \left(x \right)}{15}+\frac{\sin^{4}\left(x \right)}{15 \cos \left(x \right)^{3}}+\frac{\sin^{4}\left(x \right)}{5 \cos \left(x \right)^{5}}"," ",0,"-1/15/cos(x)*sin(x)^4-1/15*(sin(x)^2+2)*cos(x)+1/15/cos(x)^3*sin(x)^4+1/5/cos(x)^5*sin(x)^4","B"
118,1,34,21,0.006000," ","int((-x^2+9)^(1/2)/x^2,x)","-\frac{\sqrt{-x^{2}+9}\, x}{9}-\arcsin \left(\frac{x}{3}\right)-\frac{\left(-x^{2}+9\right)^{\frac{3}{2}}}{9 x}"," ",0,"-1/9/x*(-x^2+9)^(3/2)-1/9*x*(-x^2+9)^(1/2)-arcsin(1/3*x)","A"
119,1,13,12,0.003000," ","int(1/x^2/(x^2+4)^(1/2),x)","-\frac{\sqrt{x^{2}+4}}{4 x}"," ",0,"-1/4*(x^2+4)^(1/2)/x","A"
120,1,8,7,0.003000," ","int(x/(x^2+4)^(1/2),x)","\sqrt{x^{2}+4}"," ",0,"(x^2+4)^(1/2)","A"
121,1,15,14,0.005000," ","int(1/(-a^2+x^2)^(1/2),x)","\ln \left(x +\sqrt{-a^{2}+x^{2}}\right)"," ",0,"ln(x+(-a^2+x^2)^(1/2))","A"
122,1,19,23,0.004000," ","int(x^3/(4*x^2+9)^(3/2),x)","\frac{2 x^{2}+9}{8 \sqrt{4 x^{2}+9}}"," ",0,"1/8*(2*x^2+9)/(4*x^2+9)^(1/2)","A"
123,1,24,23,0.006000," ","int(x/(-x^2-2*x+3)^(1/2),x)","-\arcsin \left(\frac{x}{2}+\frac{1}{2}\right)-\sqrt{-x^{2}-2 x +3}"," ",0,"-arcsin(1/2*x+1/2)-(-x^2-2*x+3)^(1/2)","A"
124,1,20,14,0.007000," ","int(1/x^2/(-x^2+1)^(1/2),x)","\frac{\left(x -1\right) \left(x +1\right)}{\sqrt{-x^{2}+1}\, x}"," ",0,"1/x*(x-1)*(x+1)/(-x^2+1)^(1/2)","A"
125,1,25,23,0.004000," ","int(x^3*(-x^2+4)^(1/2),x)","\frac{\left(x -2\right) \left(x +2\right) \left(3 x^{2}+8\right) \sqrt{-x^{2}+4}}{15}"," ",0,"1/15*(x-2)*(x+2)*(3*x^2+8)*(-x^2+4)^(1/2)","A"
126,1,17,11,0.003000," ","int(1/(-x^2+1)^(1/2)*x,x)","\frac{\left(x -1\right) \left(x +1\right)}{\sqrt{-x^{2}+1}}"," ",0,"(x-1)*(x+1)/(-x^2+1)^(1/2)","A"
127,1,18,11,0.003000," ","int(x*(-x^2+4)^(1/2),x)","\frac{\left(x -2\right) \left(x +2\right) \sqrt{-x^{2}+4}}{3}"," ",0,"1/3*(x-2)*(x+2)*(-x^2+4)^(1/2)","A"
128,1,20,19,0.004000," ","int((-4*x^2+1)^(1/2),x)","\frac{\sqrt{-4 x^{2}+1}\, x}{2}+\frac{\arcsin \left(2 x \right)}{4}"," ",0,"1/4*arcsin(2*x)+1/2*x*(-4*x^2+1)^(1/2)","A"
129,1,15,19,0.005000," ","int(x^3/(x^2+4)^(1/2),x)","\frac{\sqrt{x^{2}+4}\, \left(x^{2}-8\right)}{3}"," ",0,"1/3*(x^2+4)^(1/2)*(x^2-8)","A"
130,1,5,4,0.003000," ","int(1/(x^2+9)^(1/2),x)","\arcsinh \left(\frac{x}{3}\right)"," ",0,"arcsinh(1/3*x)","A"
131,1,16,15,0.004000," ","int((x^2+1)^(1/2),x)","\frac{\sqrt{x^{2}+1}\, x}{2}+\frac{\arcsinh \left(x \right)}{2}"," ",0,"1/2*arcsinh(x)+1/2*(x^2+1)^(1/2)*x","A"
132,1,26,25,0.009000," ","int(1/x^3/(x^2-16)^(1/2),x)","-\frac{\arctan \left(\frac{4}{\sqrt{x^{2}-16}}\right)}{128}+\frac{\sqrt{x^{2}-16}}{32 x^{2}}"," ",0,"1/32*(x^2-16)^(1/2)/x^2-1/128*arctan(4/(x^2-16)^(1/2))","A"
133,1,28,19,0.006000," ","int((-a^2+x^2)^(1/2)/x^4,x)","-\frac{\left(a +x \right) \left(a -x \right) \sqrt{-a^{2}+x^{2}}}{3 a^{2} x^{3}}"," ",0,"-1/3/x^3*(a+x)*(a-x)/a^2*(-a^2+x^2)^(1/2)","A"
134,1,25,24,0.009000," ","int((9*x^2-4)^(1/2)/x,x)","2 \arctan \left(\frac{2}{\sqrt{9 x^{2}-4}}\right)+\sqrt{9 x^{2}-4}"," ",0,"(9*x^2-4)^(1/2)+2*arctan(2/(9*x^2-4)^(1/2))","A"
135,1,25,14,0.005000," ","int(1/x^2/(16*x^2-9)^(1/2),x)","\frac{\left(4 x -3\right) \left(4 x +3\right)}{9 \sqrt{16 x^{2}-9}\, x}"," ",0,"1/9/x*(4*x-3)*(4*x+3)/(16*x^2-9)^(1/2)","A"
136,1,31,30,0.013000," ","int(x^2/(a^2-x^2)^(3/2),x)","\frac{x}{\sqrt{a^{2}-x^{2}}}-\arctan \left(\frac{x}{\sqrt{a^{2}-x^{2}}}\right)"," ",0,"-arctan(1/(a^2-x^2)^(1/2)*x)+1/(a^2-x^2)^(1/2)*x","A"
137,1,23,22,0.009000," ","int(x^2/(-x^2+5)^(1/2),x)","-\frac{\sqrt{-x^{2}+5}\, x}{2}+\frac{5 \arcsin \left(\frac{\sqrt{5}\, x}{5}\right)}{2}"," ",0,"5/2*arcsin(1/5*5^(1/2)*x)-1/2*x*(-x^2+5)^(1/2)","A"
138,1,18,18,0.006000," ","int(1/x/(x^2+3)^(1/2),x)","-\frac{\sqrt{3}\, \arctanh \left(\frac{\sqrt{3}}{\sqrt{x^{2}+3}}\right)}{3}"," ",0,"-1/3*3^(1/2)*arctanh(3^(1/2)/(x^2+3)^(1/2))","A"
139,1,10,9,0.003000," ","int(x/(x^2+4)^(5/2),x)","-\frac{1}{3 \left(x^{2}+4\right)^{\frac{3}{2}}}"," ",0,"-1/3/(x^2+4)^(3/2)","A"
140,1,29,23,0.005000," ","int(x^3*(-9*x^2+4)^(1/2),x)","\frac{\left(3 x -2\right) \left(3 x +2\right) \left(27 x^{2}+8\right) \sqrt{-9 x^{2}+4}}{1215}"," ",0,"1/1215*(3*x-2)*(3*x+2)*(27*x^2+8)*(-9*x^2+4)^(1/2)","A"
141,1,32,33,0.007000," ","int(x^2*(-x^2+9)^(1/2),x)","-\frac{\left(-x^{2}+9\right)^{\frac{3}{2}} x}{4}+\frac{9 \sqrt{-x^{2}+9}\, x}{8}+\frac{81 \arcsin \left(\frac{x}{3}\right)}{8}"," ",0,"-1/4*x*(-x^2+9)^(3/2)+9/8*(-x^2+9)^(1/2)*x+81/8*arcsin(1/3*x)","A"
142,1,10,9,0.003000," ","int(5*(x^2+1)^(1/2)*x,x)","\frac{5 \left(x^{2}+1\right)^{\frac{3}{2}}}{3}"," ",0,"5/3*(x^2+1)^(3/2)","A"
143,1,23,12,0.003000," ","int(1/(4*x^2-25)^(3/2),x)","-\frac{\left(2 x -5\right) \left(2 x +5\right) x}{25 \left(4 x^{2}-25\right)^{\frac{3}{2}}}"," ",0,"-1/25*(2*x-5)*(2*x+5)*x/(4*x^2-25)^(3/2)","A"
144,1,26,25,0.006000," ","int((-x^2+2*x)^(1/2),x)","\frac{\arcsin \left(x -1\right)}{2}-\frac{\left(-2 x +2\right) \sqrt{-x^{2}+2 x}}{4}"," ",0,"-1/4*(-2*x+2)*(-x^2+2*x)^(1/2)+1/2*arcsin(x-1)","A"
145,1,7,6,0.003000," ","int(1/(x^2+4*x+8)^(1/2),x)","\arcsinh \left(\frac{x}{2}+1\right)"," ",0,"arcsinh(1/2*x+1)","A"
146,1,30,21,0.004000," ","int(1/(9*x^2+6*x-8)^(1/2),x)","\frac{\sqrt{9}\, \ln \left(\frac{\left(9 x +3\right) \sqrt{9}}{9}+\sqrt{9 x^{2}+6 x -8}\right)}{9}"," ",0,"1/9*ln(1/9*(9*x+3)*9^(1/2)+(9*x^2+6*x-8)^(1/2))*9^(1/2)","A"
147,1,37,36,0.004000," ","int(x^2/(-x^2+4*x)^(1/2),x)","-\frac{\sqrt{-x^{2}+4 x}\, x}{2}+6 \arcsin \left(\frac{x}{2}-1\right)-3 \sqrt{-x^{2}+4 x}"," ",0,"6*arcsin(-1+1/2*x)-3*(-x^2+4*x)^(1/2)-1/2*x*(-x^2+4*x)^(1/2)","A"
148,1,25,22,0.004000," ","int(1/(x^2+2*x+2)^2,x)","\frac{\arctan \left(x +1\right)}{2}+\frac{2 x +2}{4 x^{2}+8 x +8}"," ",0,"1/4*(2*x+2)/(x^2+2*x+2)+1/2*arctan(x+1)","A"
149,1,36,35,0.005000," ","int(1/(-x^2-4*x+5)^(5/2),x)","\frac{\left(x +5\right) \left(x -1\right) \left(2 x^{3}+12 x^{2}-3 x -38\right)}{243 \left(-x^{2}-4 x +5\right)^{\frac{5}{2}}}"," ",0,"1/243*(x+5)*(x-1)*(2*x^3+12*x^2-3*x-38)/(-x^2-4*x+5)^(5/2)","A"
150,1,23,22,0.016000," ","int(exp(t)*(9-exp(2*t))^(1/2),t)","\frac{9 \arcsin \left(\frac{{\mathrm e}^{t}}{3}\right)}{2}+\frac{\sqrt{-{\mathrm e}^{2 t}+9}\, {\mathrm e}^{t}}{2}"," ",0,"1/2*exp(t)*(9-exp(t)^2)^(1/2)+9/2*arcsin(1/3*exp(t))","A"
151,1,23,22,0.009000," ","int((-9+exp(2*t))^(1/2),t)","-3 \arctan \left(\frac{\sqrt{{\mathrm e}^{2 t}-9}}{3}\right)+\sqrt{{\mathrm e}^{2 t}-9}"," ",0,"-3*arctan(1/3*(-9+exp(2*t))^(1/2))+(-9+exp(2*t))^(1/2)","A"
152,1,13,12,0.003000," ","int(1/(a^2+x^2)^(1/2),x)","\ln \left(x +\sqrt{a^{2}+x^{2}}\right)"," ",0,"ln(x+(a^2+x^2)^(1/2))","A"
153,1,14,15,0.007000," ","int((x+5)/(x^2+x-2),x)","2 \ln \left(x -1\right)-\ln \left(x +2\right)"," ",0,"-ln(x+2)+2*ln(x-1)","A"
154,1,21,22,0.001000," ","int((x^3+x)/(x-1),x)","\frac{x^{3}}{3}+\frac{x^{2}}{2}+2 x +2 \ln \left(x -1\right)"," ",0,"1/3*x^3+1/2*x^2+2*x+2*ln(x-1)","A"
155,1,20,19,0.010000," ","int((x^2+2*x-1)/(2*x^3+3*x^2-2*x),x)","\frac{\ln \left(x \right)}{2}-\frac{\ln \left(x +2\right)}{10}+\frac{\ln \left(2 x -1\right)}{10}"," ",0,"-1/10*ln(x+2)+1/10*ln(2*x-1)+1/2*ln(x)","A"
156,1,25,28,0.008000," ","int((x^4-2*x^2+4*x+1)/(x^3-x^2-x+1),x)","\frac{x^{2}}{2}+x +\ln \left(x -1\right)-\ln \left(x +1\right)-\frac{2}{x -1}"," ",0,"1/2*x^2+x-ln(x+1)+ln(x-1)-2/(x-1)","A"
157,1,18,17,0.006000," ","int((2*x^2-x+4)/(x^3+4*x),x)","-\frac{\arctan \left(\frac{x}{2}\right)}{2}+\ln \left(x \right)+\frac{\ln \left(x^{2}+4\right)}{2}"," ",0,"-1/2*arctan(1/2*x)+ln(x)+1/2*ln(x^2+4)","A"
158,1,32,31,0.005000," ","int((4*x^2-3*x+2)/(4*x^2-4*x+3),x)","x -\frac{\sqrt{2}\, \arctan \left(\frac{\left(8 x -4\right) \sqrt{2}}{8}\right)}{8}+\frac{\ln \left(4 x^{2}-4 x +3\right)}{8}"," ",0,"x+1/8*ln(4*x^2-4*x+3)-1/8*2^(1/2)*arctan(1/8*(8*x-4)*2^(1/2))","A"
159,1,73,86,0.012000," ","int((x^3+x^2+1)/(x-1)/x/(x^2+1)^3/(x^2+x+1),x)","\frac{7 \arctan \left(x \right)}{16}-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}-\ln \left(x \right)+\frac{\ln \left(x -1\right)}{8}+\frac{15 \ln \left(x^{2}+1\right)}{16}-\frac{\ln \left(x^{2}+x +1\right)}{2}+\frac{\frac{9}{2} x^{3}-3 x^{2}+\frac{11}{2} x -2}{8 \left(x^{2}+1\right)^{2}}"," ",0,"1/8*(9/2*x^3-3*x^2+11/2*x-2)/(x^2+1)^2+15/16*ln(x^2+1)+7/16*arctan(x)+1/8*ln(x-1)-ln(x)-1/2*ln(x^2+x+1)-1/3*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
160,1,28,29,0.011000," ","int((-x^3+2*x^2-3*x+1)/x/(x^2+1)^2,x)","-2 \arctan \left(x \right)+\ln \left(x \right)-\frac{\ln \left(x^{2}+1\right)}{2}-\frac{x +\frac{1}{2}}{x^{2}+1}"," ",0,"-(x+1/2)/(x^2+1)-1/2*ln(x^2+1)-2*arctan(x)+ln(x)","A"
161,1,16,15,0.002000," ","int(1/(x^2+1)^2,x)","\frac{x}{2 x^{2}+2}+\frac{\arctan \left(x \right)}{2}"," ",0,"1/2/(x^2+1)*x+1/2*arctan(x)","A"
162,1,14,15,0.005000," ","int(1/(x-1)/(x+2),x)","\frac{\ln \left(x -1\right)}{3}-\frac{\ln \left(x +2\right)}{3}"," ",0,"-1/3*ln(x+2)+1/3*ln(x-1)","A"
163,1,16,15,0.006000," ","int(7/(2*x^2+5*x-12),x)","\frac{7 \ln \left(2 x -3\right)}{11}-\frac{7 \ln \left(x +4\right)}{11}"," ",0,"-7/11*ln(4+x)+7/11*ln(-3+2*x)","A"
164,1,27,26,0.009000," ","int((x^2+3*x-4)/(2*x-1)^2/(2*x+3),x)","-\frac{25 \ln \left(2 x +3\right)}{128}+\frac{41 \ln \left(2 x -1\right)}{128}+\frac{9}{32 \left(2 x -1\right)}"," ",0,"-25/128*ln(2*x+3)+9/32/(2*x-1)+41/128*ln(2*x-1)","A"
165,1,34,35,0.009000," ","int((x^3-x^2)/(-6+x)/(3+5*x)^3,x)","\frac{20 \ln \left(x -6\right)}{3993}+\frac{1493 \ln \left(5 x +3\right)}{499125}-\frac{12}{1375 \left(5 x +3\right)^{2}}+\frac{201}{15125 \left(5 x +3\right)}"," ",0,"20/3993*ln(-6+x)-12/1375/(3+5*x)^2+201/15125/(3+5*x)+1493/499125*ln(3+5*x)","A"
166,1,18,19,0.008000," ","int(1/(x^4-x^3),x)","-\ln \left(x \right)+\ln \left(x -1\right)+\frac{1}{x}+\frac{1}{2 x^{2}}"," ",0,"ln(x-1)+1/2/x^2+1/x-ln(x)","A"
167,1,24,21,0.009000," ","int((x^4+x^3-x^2-x+1)/(x^3-x),x)","\frac{x^{2}}{2}+x -\ln \left(x \right)+\frac{\ln \left(x -1\right)}{2}+\frac{\ln \left(x +1\right)}{2}"," ",0,"1/2*x^2+x+1/2*ln(x+1)+1/2*ln(x-1)-ln(x)","A"
168,1,12,11,0.006000," ","int((x^2-2)/x/(x^2+2),x)","-\ln \left(x \right)+\ln \left(x^{2}+2\right)"," ",0,"-ln(x)+ln(x^2+2)","A"
169,1,32,31,0.005000," ","int((x^3-4*x^2+2)/(x^2+1)/(x^2+2),x)","6 \arctan \left(x \right)-5 \sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{2}\right)-\frac{\ln \left(x^{2}+1\right)}{2}+\ln \left(x^{2}+2\right)"," ",0,"6*arctan(x)-1/2*ln(x^2+1)+ln(x^2+2)-5*2^(1/2)*arctan(1/2*2^(1/2)*x)","A"
170,1,22,21,0.011000," ","int((x^4+x^2+1)/(x^2+1)/(x^2+4)^2,x)","-\frac{13 x}{24 \left(x^{2}+4\right)}+\frac{\arctan \left(x \right)}{9}+\frac{25 \arctan \left(\frac{x}{2}\right)}{144}"," ",0,"-13/24*x/(x^2+4)+25/144*arctan(1/2*x)+1/9*arctan(x)","A"
171,1,48,47,0.011000," ","int((1+16*x)/(x+5)^2/(2*x-3)/(x^2+x+1),x)","\frac{451 \sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{8379}+\frac{200 \ln \left(2 x -3\right)}{3211}+\frac{2731 \ln \left(x +5\right)}{24843}-\frac{481 \ln \left(x^{2}+x +1\right)}{5586}-\frac{79}{273 \left(x +5\right)}"," ",0,"200/3211*ln(2*x-3)-79/273/(x+5)+2731/24843*ln(x+5)-481/5586*ln(x^2+x+1)+451/8379*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
172,1,25,29,0.010000," ","int(x^4/(x^2+9)^3,x)","\frac{\arctan \left(\frac{x}{3}\right)}{8}+\frac{-\frac{5}{8} x^{3}-\frac{27}{8} x}{\left(x^{2}+9\right)^{2}}"," ",0,"(-5/8*x^3-27/8*x)/(x^2+9)^2+1/8*arctan(1/3*x)","A"
173,1,68,82,0.014000," ","int(19*x/(x-1)^3/(4*x^2+5*x+3)^2,x)","\frac{114437 \sqrt{23}\, \arctan \left(\frac{\left(8 x +5\right) \sqrt{23}}{23}\right)}{1218816}+\frac{209 \ln \left(x -1\right)}{2304}-\frac{209 \ln \left(4 x^{2}+5 x +3\right)}{4608}-\frac{19 \left(-\frac{2204 x}{23}-\frac{975}{23}\right)}{6912 \left(x^{2}+\frac{5}{4} x +\frac{3}{4}\right)}-\frac{19}{288 \left(x -1\right)^{2}}+\frac{133}{864 \left(x -1\right)}"," ",0,"-19/6912*(-2204/23*x-975/23)/(x^2+5/4*x+3/4)-209/4608*ln(4*x^2+5*x+3)+114437/1218816*arctan(1/23*(5+8*x)*23^(1/2))*23^(1/2)-19/288/(x-1)^2+133/864/(x-1)+209/2304*ln(x-1)","A"
174,1,36,35,0.010000," ","int((x^3+x^2+1)/(x^4+x^3+2*x^2),x)","\frac{\sqrt{7}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{7}}{7}\right)}{28}-\frac{\ln \left(x \right)}{4}+\frac{5 \ln \left(x^{2}+x +2\right)}{8}-\frac{1}{2 x}"," ",0,"-1/2/x-1/4*ln(x)+5/8*ln(x^2+x+2)+1/28*arctan(1/7*(2*x+1)*7^(1/2))*7^(1/2)","A"
175,1,38,39,0.008000," ","int(1/(x^6-x^3),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}+\frac{\ln \left(x -1\right)}{3}-\frac{\ln \left(x^{2}+x +1\right)}{6}+\frac{1}{2 x^{2}}"," ",0,"1/2/x^2+1/3*ln(x-1)-1/6*ln(x^2+x+1)-1/3*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
176,1,14,13,0.002000," ","int(x^2/(x+1),x)","\frac{x^{2}}{2}-x +\ln \left(x +1\right)"," ",0,"-x+1/2*x^2+ln(x+1)","A"
177,1,9,10,0.004000," ","int(x/(-5+x),x)","x +5 \ln \left(x -5\right)"," ",0,"x+5*ln(-5+x)","A"
178,1,12,13,0.006000," ","int((-1+4*x)/(x-1)/(x+2),x)","\ln \left(x -1\right)+3 \ln \left(x +2\right)"," ",0,"3*ln(x+2)+ln(x-1)","A"
179,1,12,11,0.005000," ","int(1/(x+1)/(x+2),x)","\ln \left(x +1\right)-\ln \left(x +2\right)"," ",0,"ln(x+1)-ln(x+2)","A"
180,1,13,12,0.003000," ","int((-5+6*x)/(2*x+3),x)","3 x -7 \ln \left(2 x +3\right)"," ",0,"3*x-7*ln(2*x+3)","A"
181,1,27,26,0.007000," ","int(1/(a+x)/(b+x),x)","-\frac{\ln \left(a +x \right)}{a -b}+\frac{\ln \left(b +x \right)}{a -b}"," ",0,"-ln(a+x)/(a-b)+ln(b+x)/(a-b)","A"
182,1,13,14,0.006000," ","int((x^2+1)/(x^2-x),x)","x -\ln \left(x \right)+2 \ln \left(x -1\right)"," ",0,"x+2*ln(x-1)-ln(x)","A"
183,1,19,20,0.008000," ","int((x^3+x^2-12*x+1)/(x^2+x-12),x)","\frac{x^{2}}{2}+\frac{\ln \left(x -3\right)}{7}-\frac{\ln \left(x +4\right)}{7}"," ",0,"1/2*x^2+1/7*ln(x-3)-1/7*ln(x+4)","A"
184,1,15,14,0.006000," ","int((2*x+3)/(x+1)^2,x)","2 \ln \left(x +1\right)-\frac{1}{x +1}"," ",0,"-1/(x+1)+2*ln(x+1)","A"
185,1,20,19,0.006000," ","int(1/x/(x+1)/(2*x+3),x)","\frac{\ln \left(x \right)}{3}-\ln \left(x +1\right)+\frac{2 \ln \left(2 x +3\right)}{3}"," ",0,"1/3*ln(x)-ln(x+1)+2/3*ln(2*x+3)","A"
186,1,16,17,0.010000," ","int((6*x^2+5*x-3)/(x^3+2*x^2-3*x),x)","\ln \left(x \right)+2 \ln \left(x -1\right)+3 \ln \left(x +3\right)"," ",0,"3*ln(x+3)+2*ln(x-1)+ln(x)","A"
187,1,13,12,0.006000," ","int(x/(x^2+4*x+4),x)","\ln \left(x +2\right)+\frac{2}{x +2}"," ",0,"2/(x+2)+ln(x+2)","A"
188,1,21,24,0.007000," ","int(1/(x-1)^2/(x+4),x)","-\frac{\ln \left(x -1\right)}{25}+\frac{\ln \left(x +4\right)}{25}-\frac{1}{5 \left(x -1\right)}"," ",0,"1/25*ln(x+4)-1/5/(x-1)-1/25*ln(x-1)","A"
189,1,21,22,0.009000," ","int(x^2/(x-3)/(x+2)^2,x)","\frac{9 \ln \left(x -3\right)}{25}+\frac{16 \ln \left(x +2\right)}{25}+\frac{4}{5 \left(x +2\right)}"," ",0,"9/25*ln(x-3)+4/5/(x+2)+16/25*ln(x+2)","A"
190,1,15,14,0.009000," ","int((5*x^2+3*x-2)/(x^3+2*x^2),x)","2 \ln \left(x \right)+3 \ln \left(x +2\right)+\frac{1}{x}"," ",0,"1/x+2*ln(x)+3*ln(x+2)","A"
191,1,18,19,0.010000," ","int((-4*x^2-2*x+18)/(x^3+4*x^2+x-6),x)","\ln \left(x -1\right)-2 \ln \left(x +2\right)-3 \ln \left(x +3\right)"," ",0,"-3*ln(x+3)-2*ln(x+2)+ln(x-1)","A"
192,1,14,13,0.001000," ","int((x^2+2*x)/(x^3+3*x^2+4),x)","\frac{\ln \left(x^{3}+3 x^{2}+4\right)}{3}"," ",0,"1/3*ln(x^3+3*x^2+4)","A"
193,1,24,25,0.012000," ","int(1/(x-1)^2/x^2,x)","2 \ln \left(x \right)-2 \ln \left(x -1\right)-\frac{1}{x}-\frac{1}{x -1}"," ",0,"-1/(x-1)-2*ln(x-1)-1/x+2*ln(x)","A"
194,1,20,19,0.006000," ","int(x^2/(x+1)^3,x)","\ln \left(x +1\right)-\frac{1}{2 \left(x +1\right)^{2}}+\frac{2}{x +1}"," ",0,"-1/2/(x+1)^2+2/(x+1)+ln(x+1)","A"
195,1,17,8,0.009000," ","int(1/(x^4-x^2),x)","\frac{\ln \left(x -1\right)}{2}-\frac{\ln \left(x +1\right)}{2}+\frac{1}{x}"," ",0,"-1/2*ln(x+1)+1/x+1/2*ln(x-1)","A"
196,1,14,13,0.001000," ","int((2*x^3-x)/(x^4-x^2+1),x)","\frac{\ln \left(x^{4}-x^{2}+1\right)}{2}"," ",0,"1/2*ln(x^4-x^2+1)","A"
197,1,15,14,0.003000," ","int(x^3/(x^2+1),x)","\frac{x^{2}}{2}-\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"1/2*x^2-1/2*ln(x^2+1)","A"
198,1,19,18,0.003000," ","int((x-1)/(x^2+2*x+2),x)","-2 \arctan \left(x +1\right)+\frac{\ln \left(x^{2}+2 x +2\right)}{2}"," ",0,"-2*arctan(x+1)+1/2*ln(x^2+2*x+2)","A"
199,1,27,26,0.003000," ","int(x/(x^2+x+1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}+\frac{\ln \left(x^{2}+x +1\right)}{2}"," ",0,"1/2*ln(x^2+x+1)-1/3*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
200,1,22,21,0.005000," ","int((4*x^2+5*x+7)/(4*x^2+4*x+5),x)","x +\frac{3 \arctan \left(x +\frac{1}{2}\right)}{8}+\frac{\ln \left(4 x^{2}+4 x +5\right)}{8}"," ",0,"x+3/8*arctan(x+1/2)+1/8*ln(4*x^2+4*x+5)","A"
201,1,20,21,0.007000," ","int((3*x^2-4*x+5)/(x-1)/(x^2+1),x)","-3 \arctan \left(x \right)+2 \ln \left(x -1\right)+\frac{\ln \left(x^{2}+1\right)}{2}"," ",0,"2*ln(x-1)+1/2*ln(x^2+1)-3*arctan(x)","A"
202,1,24,23,0.007000," ","int((2*x+3)/(x^3+3*x),x)","\frac{2 \sqrt{3}\, \arctan \left(\frac{\sqrt{3}\, x}{3}\right)}{3}+\ln \left(x \right)-\frac{\ln \left(x^{2}+3\right)}{2}"," ",0,"ln(x)-1/2*ln(x^2+3)+2/3*arctan(1/3*3^(1/2)*x)*3^(1/2)","A"
203,1,33,34,0.002000," ","int(1/(x^3-1),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{3}}{3}\right)}{3}+\frac{\ln \left(x -1\right)}{3}-\frac{\ln \left(x^{2}+x +1\right)}{6}"," ",0,"1/3*ln(x-1)-1/6*ln(x^2+x+1)-1/3*3^(1/2)*arctan(1/3*(2*x+1)*3^(1/2))","A"
204,1,36,35,0.006000," ","int(x^3/(x^3+1),x)","x -\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x -1\right) \sqrt{3}}{3}\right)}{3}-\frac{\ln \left(x +1\right)}{3}+\frac{\ln \left(x^{2}-x +1\right)}{6}"," ",0,"x-1/3*ln(x+1)+1/6*ln(x^2-x+1)-1/3*3^(1/2)*arctan(1/3*(2*x-1)*3^(1/2))","A"
205,1,21,22,0.008000," ","int((x^2-2*x-1)/(x-1)^2/(x^2+1),x)","\arctan \left(x \right)+\ln \left(x -1\right)-\frac{\ln \left(x^{2}+1\right)}{2}+\frac{1}{x -1}"," ",0,"ln(x-1)+1/(x-1)-1/2*ln(x^2+1)+arctan(x)","A"
206,1,19,10,0.005000," ","int(x^4/(x^4-1),x)","x -\frac{\arctan \left(x \right)}{2}+\frac{\ln \left(x -1\right)}{4}-\frac{\ln \left(x +1\right)}{4}"," ",0,"x+1/4*ln(x-1)-1/4*ln(x+1)-1/2*arctan(x)","A"
207,1,25,24,0.005000," ","int((3*x^3-x^2+6*x-4)/(x^2+1)/(x^2+2),x)","-3 \arctan \left(x \right)+\sqrt{2}\, \arctan \left(\frac{\sqrt{2}\, x}{2}\right)+\frac{3 \ln \left(x^{2}+1\right)}{2}"," ",0,"-3*arctan(x)+3/2*ln(x^2+1)+2^(1/2)*arctan(1/2*2^(1/2)*x)","A"
208,1,18,17,0.006000," ","int((x^3-2*x^2+x+1)/(x^4+5*x^2+4),x)","\arctan \left(x \right)-\frac{3 \arctan \left(\frac{x}{2}\right)}{2}+\frac{\ln \left(x^{2}+4\right)}{2}"," ",0,"-3/2*arctan(1/2*x)+arctan(x)+1/2*ln(x^2+4)","A"
209,1,35,32,0.006000," ","int((x-3)/(x^2+2*x+4)^2,x)","-\frac{2 \sqrt{3}\, \arctan \left(\frac{\left(2 x +2\right) \sqrt{3}}{6}\right)}{9}+\frac{-8 x -14}{12 x^{2}+24 x +48}"," ",0,"1/12*(-8*x-14)/(x^2+2*x+4)-2/9*3^(1/2)*arctan(1/6*(2*x+2)*3^(1/2))","A"
210,1,11,10,0.000000," ","int((x^4+1)/x/(x^2+1)^2,x)","\ln \left(x \right)+\frac{1}{x^{2}+1}"," ",0,"ln(x)+1/(x^2+1)","A"
211,1,12,11,0.050000," ","int(cos(x)*(-3+2*sin(x))/(2-3*sin(x)+sin(x)^2),x)","\ln \left(\sin^{2}\left(x \right)-3 \sin \left(x \right)+2\right)"," ",0,"ln(2-3*sin(x)+sin(x)^2)","A"
212,1,18,17,0.031000," ","int(cos(x)^2*sin(x)/(5+cos(x)^2),x)","\sqrt{5}\, \arctan \left(\frac{\sqrt{5}\, \cos \left(x \right)}{5}\right)-\cos \left(x \right)"," ",0,"-cos(x)+arctan(1/5*cos(x)*5^(1/2))*5^(1/2)","A"
213,1,14,15,0.006000," ","int(1/(x^2+2*x-3),x)","\frac{\ln \left(x -1\right)}{4}-\frac{\ln \left(x +3\right)}{4}"," ",0,"-1/4*ln(x+3)+1/4*ln(x-1)","A"
214,1,12,13,0.006000," ","int(1/(x^2-2*x),x)","-\frac{\ln \left(x \right)}{2}+\frac{\ln \left(x -2\right)}{2}"," ",0,"1/2*ln(x-2)-1/2*ln(x)","A"
215,1,18,17,0.006000," ","int((2*x+1)/(4*x^2+12*x-7),x)","\frac{3 \ln \left(2 x +7\right)}{8}+\frac{\ln \left(2 x -1\right)}{8}"," ",0,"3/8*ln(7+2*x)+1/8*ln(2*x-1)","A"
216,1,27,37,0.003000," ","int(x/(x^2+x-1),x)","\frac{\sqrt{5}\, \arctanh \left(\frac{\left(2 x +1\right) \sqrt{5}}{5}\right)}{5}+\frac{\ln \left(x^{2}+x -1\right)}{2}"," ",0,"1/2*ln(x^2+x-1)+1/5*5^(1/2)*arctanh(1/5*(2*x+1)*5^(1/2))","A"
217,1,51,50,0.011000," ","int((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)","\frac{3988 \sqrt{19}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{19}}{19}\right)}{260015}-\frac{334 \ln \left(2 x +1\right)}{323}+\frac{4822 \ln \left(5 x +2\right)}{4879}-\frac{3146 \ln \left(3 x -7\right)}{80155}+\frac{11049 \ln \left(x^{2}+x +5\right)}{260015}"," ",0,"4822/4879*ln(2+5*x)+11049/260015*ln(x^2+x+5)+3988/260015*arctan(1/19*(2*x+1)*19^(1/2))*19^(1/2)-334/323*ln(2*x+1)-3146/80155*ln(3*x-7)","A"
218,1,54,55,0.017000," ","int((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)","\frac{503 \sqrt{2}\, \arctan \left(\sqrt{2}\, x \right)}{15972}-\frac{59096 \ln \left(5 x -2\right)}{99825}+\frac{2843 \ln \left(2 x^{2}+1\right)}{7986}+\frac{-\frac{2761 x}{4}-\frac{3443}{8}}{3993 x^{2}+\frac{3993}{2}}-\frac{5828}{9075 \left(5 x -2\right)}"," ",0,"1/3993*(-2761/4*x-3443/8)/(x^2+1/2)+2843/7986*ln(2*x^2+1)+503/15972*arctan(2^(1/2)*x)*2^(1/2)-5828/9075/(5*x-2)-59096/99825*ln(5*x-2)","A"
219,1,29,18,0.008000," ","int((x+4)^(1/2)/x,x)","2 \ln \left(\sqrt{x +4}-2\right)-2 \ln \left(\sqrt{x +4}+2\right)+2 \sqrt{x +4}"," ",0,"2*(x+4)^(1/2)+2*ln((x+4)^(1/2)-2)-2*ln((x+4)^(1/2)+2)","A"
220,1,175,136,0.053000," ","int(1/(-1/x^(1/3)+x^(1/2)),x)","\frac{12 \sqrt{5}\, \arctan \left(\frac{4 x^{\frac{1}{6}}+1-\sqrt{5}}{\sqrt{10+2 \sqrt{5}}}\right)}{5 \sqrt{10+2 \sqrt{5}}}-\frac{12 \sqrt{5}\, \arctan \left(\frac{4 x^{\frac{1}{6}}+1+\sqrt{5}}{\sqrt{10-2 \sqrt{5}}}\right)}{5 \sqrt{10-2 \sqrt{5}}}+\frac{6 \ln \left(x^{\frac{1}{6}}-1\right)}{5}-\frac{3 \sqrt{5}\, \ln \left(2 x^{\frac{1}{3}}+x^{\frac{1}{6}}-\sqrt{5}\, x^{\frac{1}{6}}+2\right)}{10}-\frac{3 \ln \left(2 x^{\frac{1}{3}}+x^{\frac{1}{6}}-\sqrt{5}\, x^{\frac{1}{6}}+2\right)}{10}-\frac{3 \ln \left(2 x^{\frac{1}{3}}+x^{\frac{1}{6}}+\sqrt{5}\, x^{\frac{1}{6}}+2\right)}{10}+\frac{3 \sqrt{5}\, \ln \left(2 x^{\frac{1}{3}}+x^{\frac{1}{6}}+\sqrt{5}\, x^{\frac{1}{6}}+2\right)}{10}+2 \sqrt{x}"," ",0,"2*x^(1/2)-3/10*ln(2+x^(1/6)+2*x^(1/3)-x^(1/6)*5^(1/2))*5^(1/2)-3/10*ln(2+x^(1/6)+2*x^(1/3)-x^(1/6)*5^(1/2))+12/5/(10+2*5^(1/2))^(1/2)*arctan((1+4*x^(1/6)-5^(1/2))/(10+2*5^(1/2))^(1/2))*5^(1/2)-3/10*ln(2+x^(1/6)+2*x^(1/3)+x^(1/6)*5^(1/2))+3/10*ln(2+x^(1/6)+2*x^(1/3)+x^(1/6)*5^(1/2))*5^(1/2)-12/5/(10-2*5^(1/2))^(1/2)*arctan((1+4*x^(1/6)+5^(1/2))/(10-2*5^(1/2))^(1/2))*5^(1/2)+6/5*ln(x^(1/6)-1)","A"
221,1,22,12,0.064000," ","int(1/(-4*cos(x)+3*sin(x)),x)","-\frac{\ln \left(\tan \left(\frac{x}{2}\right)+2\right)}{5}+\frac{\ln \left(2 \tan \left(\frac{x}{2}\right)-1\right)}{5}"," ",0,"-1/5*ln(tan(1/2*x)+2)+1/5*ln(2*tan(1/2*x)-1)","A"
222,1,27,14,0.005000," ","int(1/(x^(1/2)+1),x)","-\ln \left(x -1\right)+\ln \left(\sqrt{x}-1\right)-\ln \left(\sqrt{x}+1\right)+2 \sqrt{x}"," ",0,"2*x^(1/2)+ln(x^(1/2)-1)-ln(x^(1/2)+1)-ln(x-1)","A"
223,1,21,24,0.004000," ","int(1/(1+1/x^(1/3)),x)","x -3 \ln \left(x^{\frac{1}{3}}+1\right)-\frac{3 x^{\frac{2}{3}}}{2}+3 x^{\frac{1}{3}}"," ",0,"x-3/2*x^(2/3)+3*x^(1/3)-3*ln(x^(1/3)+1)","A"
224,1,13,12,0.006000," ","int(x^(1/2)/(x+1),x)","-2 \arctan \left(\sqrt{x}\right)+2 \sqrt{x}"," ",0,"-2*arctan(x^(1/2))+2*x^(1/2)","A"
225,1,9,8,0.003000," ","int(1/x/(x+1)^(1/2),x)","-2 \arctanh \left(\sqrt{x +1}\right)"," ",0,"-2*arctanh((x+1)^(1/2))","A"
226,1,50,10,0.020000," ","int(1/(-x^(1/3)+x),x)","\frac{\ln \left(x -1\right)}{2}+\frac{\ln \left(x +1\right)}{2}+\ln \left(x^{\frac{1}{3}}-1\right)+\ln \left(x^{\frac{1}{3}}+1\right)-\frac{\ln \left(x^{\frac{2}{3}}-x^{\frac{1}{3}}+1\right)}{2}-\frac{\ln \left(x^{\frac{2}{3}}+x^{\frac{1}{3}}+1\right)}{2}"," ",0,"1/2*ln(x-1)+1/2*ln(x+1)+ln(x^(1/3)-1)-1/2*ln(x^(2/3)+x^(1/3)+1)+ln(x^(1/3)+1)-1/2*ln(x^(2/3)-x^(1/3)+1)","B"
227,1,54,23,0.020000," ","int(1/(x-(x+2)^(1/2)),x)","\frac{2 \ln \left(x -2\right)}{3}+\frac{\ln \left(x +1\right)}{3}+\frac{\ln \left(1+\sqrt{x +2}\right)}{3}+\frac{2 \ln \left(\sqrt{x +2}-2\right)}{3}-\frac{\ln \left(\sqrt{x +2}-1\right)}{3}-\frac{2 \ln \left(\sqrt{x +2}+2\right)}{3}"," ",0,"1/3*ln(x+1)+2/3*ln(x-2)+1/3*ln(1+(x+2)^(1/2))+2/3*ln((x+2)^(1/2)-2)-2/3*ln((x+2)^(1/2)+2)-1/3*ln((x+2)^(1/2)-1)","B"
228,1,18,22,0.003000," ","int(x^2/(x-1)^(1/2),x)","\frac{2 \sqrt{x -1}\, \left(3 x^{2}+4 x +8\right)}{15}"," ",0,"2/15*(x-1)^(1/2)*(3*x^2+4*x+8)","A"
229,1,25,24,0.008000," ","int((x-1)^(1/2)/(x+1),x)","-2 \sqrt{2}\, \arctan \left(\frac{\sqrt{x -1}\, \sqrt{2}}{2}\right)+2 \sqrt{x -1}"," ",0,"-2*arctan(1/2*(x-1)^(1/2)*2^(1/2))*2^(1/2)+2*(x-1)^(1/2)","A"
230,1,20,19,0.006000," ","int(1/(x^(1/2)+1)^(1/2),x)","\frac{4 \left(\sqrt{x}+1\right)^{\frac{3}{2}}}{3}-4 \sqrt{\sqrt{x}+1}"," ",0,"4/3*(x^(1/2)+1)^(3/2)-4*(x^(1/2)+1)^(1/2)","A"
231,1,7,6,0.007000," ","int(x^(1/2)/(x^2+x),x)","2 \arctan \left(\sqrt{x}\right)"," ",0,"2*arctan(x^(1/2))","A"
232,1,16,17,0.003000," ","int((x^(1/2)+1)/(x^(1/2)-1),x)","x +4 \ln \left(\sqrt{x}-1\right)+4 \sqrt{x}"," ",0,"x+4*x^(1/2)+4*ln(x^(1/2)-1)","A"
233,1,23,24,0.004000," ","int((1+1/x^(1/3))/(-1+1/x^(1/3)),x)","-x -6 \ln \left(x^{\frac{1}{3}}-1\right)-3 x^{\frac{2}{3}}-6 x^{\frac{1}{3}}"," ",0,"-x-3*x^(2/3)-6*x^(1/3)-6*ln(x^(1/3)-1)","A"
234,1,17,19,0.004000," ","int(x^3/(x^2+1)^(1/3),x)","\frac{3 \left(x^{2}+1\right)^{\frac{2}{3}} \left(2 x^{2}-3\right)}{20}"," ",0,"3/20*(x^2+1)^(2/3)*(2*x^2-3)","A"
235,1,242,137,0.026000," ","int(x^(1/2)/(-1/x^(1/3)+x^(1/2)),x)","x -\frac{6 \arctan \left(\frac{4 x^{\frac{1}{6}}+1-\sqrt{5}}{\sqrt{10+2 \sqrt{5}}}\right)}{\sqrt{10+2 \sqrt{5}}}-\frac{6 \sqrt{5}\, \arctan \left(\frac{4 x^{\frac{1}{6}}+1-\sqrt{5}}{\sqrt{10+2 \sqrt{5}}}\right)}{5 \sqrt{10+2 \sqrt{5}}}-\frac{6 \arctan \left(\frac{4 x^{\frac{1}{6}}+1+\sqrt{5}}{\sqrt{10-2 \sqrt{5}}}\right)}{\sqrt{10-2 \sqrt{5}}}+\frac{6 \sqrt{5}\, \arctan \left(\frac{4 x^{\frac{1}{6}}+1+\sqrt{5}}{\sqrt{10-2 \sqrt{5}}}\right)}{5 \sqrt{10-2 \sqrt{5}}}+\frac{6 \ln \left(x^{\frac{1}{6}}-1\right)}{5}-\frac{3 \ln \left(2 x^{\frac{1}{3}}+x^{\frac{1}{6}}-\sqrt{5}\, x^{\frac{1}{6}}+2\right)}{10}+\frac{3 \sqrt{5}\, \ln \left(2 x^{\frac{1}{3}}+x^{\frac{1}{6}}-\sqrt{5}\, x^{\frac{1}{6}}+2\right)}{10}-\frac{3 \sqrt{5}\, \ln \left(2 x^{\frac{1}{3}}+x^{\frac{1}{6}}+\sqrt{5}\, x^{\frac{1}{6}}+2\right)}{10}-\frac{3 \ln \left(2 x^{\frac{1}{3}}+x^{\frac{1}{6}}+\sqrt{5}\, x^{\frac{1}{6}}+2\right)}{10}+6 x^{\frac{1}{6}}"," ",0,"x+6*x^(1/6)-3/10*ln(2*x^(1/3)+x^(1/6)-5^(1/2)*x^(1/6)+2)+3/10*5^(1/2)*ln(2*x^(1/3)+x^(1/6)-5^(1/2)*x^(1/6)+2)-6/(10+2*5^(1/2))^(1/2)*arctan((4*x^(1/6)+1-5^(1/2))/(10+2*5^(1/2))^(1/2))-6/5/(10+2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x^(1/6)+1-5^(1/2))/(10+2*5^(1/2))^(1/2))-3/10*5^(1/2)*ln(2*x^(1/3)+x^(1/6)+5^(1/2)*x^(1/6)+2)-3/10*ln(2*x^(1/3)+x^(1/6)+5^(1/2)*x^(1/6)+2)-6/(10-2*5^(1/2))^(1/2)*arctan((4*x^(1/6)+1+5^(1/2))/(10-2*5^(1/2))^(1/2))+6/5/(10-2*5^(1/2))^(1/2)*5^(1/2)*arctan((4*x^(1/6)+1+5^(1/2))/(10-2*5^(1/2))^(1/2))+6/5*ln(x^(1/6)-1)","A"
236,1,46,45,0.009000," ","int(1/(1/x^(1/4)+x^(1/2)),x)","-\frac{4 \sqrt{3}\, \arctan \left(\frac{\left(2 x^{\frac{1}{4}}-1\right) \sqrt{3}}{3}\right)}{3}+\frac{4 \ln \left(x^{\frac{1}{4}}+1\right)}{3}-\frac{2 \ln \left(\sqrt{x}-x^{\frac{1}{4}}+1\right)}{3}+2 \sqrt{x}"," ",0,"2*x^(1/2)+4/3*ln(1+x^(1/4))-2/3*ln(1-x^(1/4)+x^(1/2))-4/3*3^(1/2)*arctan(1/3*(2*x^(1/4)-1)*3^(1/2))","A"
237,1,83,82,0.005000," ","int(1/(1/x^(1/3)+1/x^(1/4)),x)","\frac{4 x^{\frac{5}{4}}}{5}-\frac{6 x^{\frac{7}{6}}}{7}+\frac{12 x^{\frac{13}{12}}}{13}-x -12 \ln \left(x^{\frac{1}{12}}+1\right)+\frac{12 x^{\frac{11}{12}}}{11}-\frac{6 x^{\frac{5}{6}}}{5}+\frac{4 x^{\frac{3}{4}}}{3}-\frac{3 x^{\frac{2}{3}}}{2}+\frac{12 x^{\frac{7}{12}}}{7}-2 \sqrt{x}+\frac{12 x^{\frac{5}{12}}}{5}-3 x^{\frac{1}{3}}+4 x^{\frac{1}{4}}-6 x^{\frac{1}{6}}+12 x^{\frac{1}{12}}"," ",0,"12*x^(1/12)-6*x^(1/6)+4*x^(1/4)-3*x^(1/3)+12/5*x^(5/12)+12/7*x^(7/12)-3/2*x^(2/3)+4/3*x^(3/4)-6/5*x^(5/6)+12/11*x^(11/12)-x+12/13*x^(13/12)-6/7*x^(7/6)+4/5*x^(5/4)-12*ln(1+x^(1/12))-2*x^(1/2)","A"
238,1,40,20,0.007000," ","int(((-x+1)/x)^(1/2),x)","\frac{\sqrt{-\frac{x -1}{x}}\, \left(\arcsin \left(2 x -1\right)+2 \sqrt{-x^{2}+x}\right) x}{2 \sqrt{-\left(x -1\right) x}}"," ",0,"1/2*(-(x-1)/x)^(1/2)*x*(2*(-x^2+x)^(1/2)+arcsin(2*x-1))/(-x*(x-1))^(1/2)","A"
239,1,12,11,0.056000," ","int(cos(x)/(sin(x)+sin(x)^2),x)","-\ln \left(\sin \left(x \right)+1\right)+\ln \left(\sin \left(x \right)\right)"," ",0,"ln(sin(x))-ln(sin(x)+1)","A"
240,1,16,15,0.011000," ","int(exp(2*x)/(2+3*exp(x)+exp(2*x)),x)","-\ln \left({\mathrm e}^{x}+1\right)+2 \ln \left({\mathrm e}^{x}+2\right)"," ",0,"-ln(exp(x)+1)+2*ln(2+exp(x))","A"
241,1,10,9,0.005000," ","int(1/(exp(x)+1)^(1/2),x)","-2 \arctanh \left(\sqrt{{\mathrm e}^{x}+1}\right)"," ",0,"-2*arctanh((exp(x)+1)^(1/2))","A"
242,1,36,22,0.006000," ","int((1-exp(x))^(1/2),x)","\ln \left(\sqrt{-{\mathrm e}^{x}+1}-1\right)-\ln \left(\sqrt{-{\mathrm e}^{x}+1}+1\right)+2 \sqrt{-{\mathrm e}^{x}+1}"," ",0,"2*(1-exp(x))^(1/2)+ln((1-exp(x))^(1/2)-1)-ln((1-exp(x))^(1/2)+1)","A"
243,1,22,31,0.026000," ","int(1/(3-5*sin(x)),x)","-\frac{\ln \left(3 \tan \left(\frac{x}{2}\right)-1\right)}{4}+\frac{\ln \left(\tan \left(\frac{x}{2}\right)-3\right)}{4}"," ",0,"1/4*ln(tan(1/2*x)-3)-1/4*ln(-1+3*tan(1/2*x))","A"
244,1,19,18,0.000000," ","int(1/(cos(x)+sin(x)),x)","\sqrt{2}\, \arctanh \left(\frac{\left(2 \tan \left(\frac{x}{2}\right)-2\right) \sqrt{2}}{4}\right)"," ",0,"2^(1/2)*arctanh(1/4*(2*tan(1/2*x)-2)*2^(1/2))","A"
245,1,16,9,0.059000," ","int(1/(1-cos(x)+sin(x)),x)","-\ln \left(\tan \left(\frac{x}{2}\right)+1\right)+\ln \left(\tan \left(\frac{x}{2}\right)\right)"," ",0,"-ln(tan(1/2*x)+1)+ln(tan(1/2*x))","A"
246,1,22,12,0.057000," ","int(1/(4*cos(x)+3*sin(x)),x)","-\frac{\ln \left(\tan \left(\frac{x}{2}\right)-2\right)}{5}+\frac{\ln \left(2 \tan \left(\frac{x}{2}\right)+1\right)}{5}"," ",0,"-1/5*ln(tan(1/2*x)-2)+1/5*ln(2*tan(1/2*x)+1)","A"
247,1,24,18,0.064000," ","int(1/(sin(x)+tan(x)),x)","-\frac{\ln \left(\cos \left(x \right)+1\right)}{4}+\frac{\ln \left(\cos \left(x \right)-1\right)}{4}-\frac{1}{2 \left(\cos \left(x \right)+1\right)}"," ",0,"-1/2/(cos(x)+1)-1/4*ln(cos(x)+1)+1/4*ln(cos(x)-1)","A"
248,1,24,16,0.106000," ","int(1/(2*sin(x)+sin(2*x)),x)","-\frac{\ln \left(\cos \left(x \right)+1\right)}{8}+\frac{\ln \left(\cos \left(x \right)-1\right)}{8}+\frac{1}{4 \cos \left(x \right)+4}"," ",0,"1/4/(cos(x)+1)-1/8*ln(cos(x)+1)+1/8*ln(cos(x)-1)","A"
249,1,24,14,0.045000," ","int(sec(x)/(sin(x)+1),x)","-\frac{\ln \left(\sin \left(x \right)-1\right)}{4}+\frac{\ln \left(\sin \left(x \right)+1\right)}{4}-\frac{1}{2 \left(\sin \left(x \right)+1\right)}"," ",0,"-1/2/(sin(x)+1)+1/4*ln(sin(x)+1)-1/4*ln(sin(x)-1)","A"
250,1,35,32,0.070000," ","int(1/(b*cos(x)+a*sin(x)),x)","\frac{2 \arctanh \left(\frac{2 b \tan \left(\frac{x}{2}\right)-2 a}{2 \sqrt{a^{2}+b^{2}}}\right)}{\sqrt{a^{2}+b^{2}}}"," ",0,"2/(a^2+b^2)^(1/2)*arctanh(1/2*(2*b*tan(1/2*x)-2*a)/(a^2+b^2)^(1/2))","A"
251,1,16,15,0.000000," ","int(1/(b^2*cos(x)^2+a^2*sin(x)^2),x)","\frac{\arctan \left(\frac{a \tan \left(x \right)}{b}\right)}{a b}"," ",0,"1/a/b*arctan(a/b*tan(x))","A"
252,1,14,10,0.000000," ","int(x/(x^2-1),x)","\frac{\ln \left(x -1\right)}{2}+\frac{\ln \left(x +1\right)}{2}"," ",0,"1/2*ln(x-1)+1/2*ln(x+1)","A"
253,1,12,11,0.003000," ","int(x^(1/2)*(x^(1/2)+1),x)","\frac{x^{2}}{2}+\frac{2 x^{\frac{3}{2}}}{3}"," ",0,"2/3*x^(3/2)+1/2*x^2","A"
254,1,9,12,0.000000," ","int(1/(1-cos(x)),x)","-\frac{1}{\tan \left(\frac{x}{2}\right)}"," ",0,"-1/tan(1/2*x)","A"
255,1,24,12,0.002000," ","int(sec(x)*tan(x)^2,x)","\frac{\sin^{3}\left(x \right)}{2 \cos \left(x \right)^{2}}-\frac{\ln \left(\sec \left(x \right)+\tan \left(x \right)\right)}{2}+\frac{\sin \left(x \right)}{2}"," ",0,"1/2*sin(x)^3/cos(x)^2+1/2*sin(x)-1/2*ln(sec(x)+tan(x))","A"
256,1,42,13,0.002000," ","int(sec(x)^3*tan(x)^3,x)","-\frac{\sin^{4}\left(x \right)}{15 \cos \left(x \right)}-\frac{\left(\sin^{2}\left(x \right)+2\right) \cos \left(x \right)}{15}+\frac{\sin^{4}\left(x \right)}{15 \cos \left(x \right)^{3}}+\frac{\sin^{4}\left(x \right)}{5 \cos \left(x \right)^{5}}"," ",0,"-1/15/cos(x)*sin(x)^4-1/15*(sin(x)^2+2)*cos(x)+1/15/cos(x)^3*sin(x)^4+1/5/cos(x)^5*sin(x)^4","B"
257,1,17,16,0.000000," ","int(exp(x^(1/2)),x)","2 \sqrt{x}\, {\mathrm e}^{\sqrt{x}}-2 \,{\mathrm e}^{\sqrt{x}}"," ",0,"2*x^(1/2)*exp(x^(1/2))-2*exp(x^(1/2))","A"
258,1,31,32,0.010000," ","int((x^5+1)/(x^3-3*x^2-10*x),x)","\frac{x^{3}}{3}+\frac{3 x^{2}}{2}+19 x -\frac{\ln \left(x \right)}{10}+\frac{3126 \ln \left(x -5\right)}{35}-\frac{31 \ln \left(x +2\right)}{14}"," ",0,"1/3*x^3+3/2*x^2+19*x+3126/35*ln(x-5)-31/14*ln(x+2)-1/10*ln(x)","A"
259,1,7,6,0.006000," ","int(1/x/ln(x)^(1/2),x)","2 \sqrt{\ln \left(x \right)}"," ",0,"2*ln(x)^(1/2)","A"
260,1,11,12,0.004000," ","int((2*x+5)/(x-3),x)","2 x +11 \ln \left(x -3\right)"," ",0,"2*x+11*ln(x-3)","A"
261,1,4,3,0.009000," ","int(exp(x+exp(x)),x)","{\mathrm e}^{{\mathrm e}^{x}}"," ",0,"exp(exp(x))","A"
262,1,19,18,0.002000," ","int(cos(x)^2*sin(x)^2,x)","-\frac{\left(\cos^{3}\left(x \right)\right) \sin \left(x \right)}{4}+\frac{\cos \left(x \right) \sin \left(x \right)}{8}+\frac{x}{8}"," ",0,"-1/4*cos(x)^3*sin(x)+1/8*cos(x)*sin(x)+1/8*x","A"
263,1,9,8,0.049000," ","int((-cos(x)+sin(x))/(cos(x)+sin(x)),x)","-\ln \left(\cos \left(x \right)+\sin \left(x \right)\right)"," ",0,"-ln(cos(x)+sin(x))","A"
264,1,17,11,0.001000," ","int(1/(-x^2+1)^(1/2)*x,x)","\frac{\left(x -1\right) \left(x +1\right)}{\sqrt{-x^{2}+1}}"," ",0,"(x-1)*(x+1)/(-x^2+1)^(1/2)","A"
265,1,14,13,0.008000," ","int(x^3*ln(x),x)","\frac{x^{4} \ln \left(x \right)}{4}-\frac{x^{4}}{16}"," ",0,"-1/16*x^4+1/4*x^4*ln(x)","A"
266,1,19,18,0.009000," ","int((x-2)^(1/2)/(x+2),x)","-4 \arctan \left(\frac{\sqrt{x -2}}{2}\right)+2 \sqrt{x -2}"," ",0,"-4*arctan(1/2*(x-2)^(1/2))+2*(x-2)^(1/2)","A"
267,1,13,12,0.007000," ","int(x/(x+2)^2,x)","\ln \left(x +2\right)+\frac{2}{x +2}"," ",0,"ln(x+2)+2/(x+2)","A"
268,1,17,16,0.008000," ","int(ln(x^2+1),x)","x \ln \left(x^{2}+1\right)-2 x +2 \arctan \left(x \right)"," ",0,"-2*x+2*arctan(x)+x*ln(x^2+1)","A"
269,1,30,18,0.003000," ","int((ln(x)+1)^(1/2)/x/ln(x),x)","-\ln \left(1+\sqrt{\ln \left(x \right)+1}\right)+\ln \left(\sqrt{\ln \left(x \right)+1}-1\right)+2 \sqrt{\ln \left(x \right)+1}"," ",0,"2*(ln(x)+1)^(1/2)+ln((ln(x)+1)^(1/2)-1)-ln(1+(ln(x)+1)^(1/2))","A"
270,1,43,19,0.002000," ","int((x^(1/2)+1)^8,x)","\frac{x^{5}}{5}+\frac{16 x^{\frac{9}{2}}}{9}+7 x^{4}+16 x^{\frac{7}{2}}+\frac{70 x^{3}}{3}+\frac{112 x^{\frac{5}{2}}}{5}+14 x^{2}+\frac{16 x^{\frac{3}{2}}}{3}+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"
271,1,22,13,0.030000," ","int(sec(x)^4*tan(x)^3,x)","\frac{\sin^{4}\left(x \right)}{12 \cos \left(x \right)^{4}}+\frac{\sin^{4}\left(x \right)}{6 \cos \left(x \right)^{6}}"," ",0,"1/6/cos(x)^6*sin(x)^4+1/12*sin(x)^4/cos(x)^4","A"
272,1,17,16,0.004000," ","int(x/(x^2-2*x+2),x)","\arctan \left(x -1\right)+\frac{\ln \left(x^{2}-2 x +2\right)}{2}"," ",0,"arctan(x-1)+1/2*ln(x^2-2*x+2)","A"
273,1,25,24,0.004000," ","int(x*arcsin(x),x)","\frac{x^{2} \arcsin \left(x \right)}{2}+\frac{\sqrt{-x^{2}+1}\, x}{4}-\frac{\arcsin \left(x \right)}{4}"," ",0,"-1/4*arcsin(x)+1/2*x^2*arcsin(x)+1/4*(-x^2+1)^(1/2)*x","A"
274,1,25,24,0.006000," ","int((-x^2+9)^(1/2)/x,x)","-3 \arctanh \left(\frac{3}{\sqrt{-x^{2}+9}}\right)+\sqrt{-x^{2}+9}"," ",0,"(-x^2+9)^(1/2)-3*arctanh(3/(-x^2+9)^(1/2))","A"
275,1,14,13,0.001000," ","int(x/(x^2+3*x+2),x)","-\ln \left(x +1\right)+2 \ln \left(x +2\right)"," ",0,"-ln(x+1)+2*ln(x+2)","A"
276,1,17,16,0.016000," ","int(x^2*cosh(x),x)","x^{2} \sinh \left(x \right)-2 x \cosh \left(x \right)+2 \sinh \left(x \right)"," ",0,"-2*x*cosh(x)+2*sinh(x)+x^2*sinh(x)","A"
277,1,14,15,0.002000," ","int((x^3+x+1)/(x^4+2*x^2+4*x),x)","\frac{\ln \left(\left(x^{3}+2 x +4\right) x \right)}{4}"," ",0,"1/4*ln(x*(x^3+2*x+4))","A"
278,1,4,3,0.025000," ","int(cos(x)/(1+sin(x)^2),x)","\arctan \left(\sin \left(x \right)\right)"," ",0,"arctan(sin(x))","A"
279,1,17,16,0.002000," ","int(cos(x^(1/2)),x)","2 \sqrt{x}\, \sin \left(\sqrt{x}\right)+2 \cos \left(\sqrt{x}\right)"," ",0,"2*x^(1/2)*sin(x^(1/2))+2*cos(x^(1/2))","A"
280,1,10,9,0.006000," ","int(sin(Pi*x),x)","-\frac{\cos \left(\pi  x \right)}{\pi}"," ",0,"-cos(Pi*x)/Pi","A"
281,1,11,10,0.000000," ","int(exp(2*x)/(exp(x)+1),x)","{\mathrm e}^{x}-\ln \left({\mathrm e}^{x}+1\right)"," ",0,"exp(x)-ln(exp(x)+1)","A"
282,1,22,21,0.015000," ","int(exp(3*x)*cos(5*x),x)","\frac{3 \cos \left(5 x \right) {\mathrm e}^{3 x}}{34}+\frac{5 \,{\mathrm e}^{3 x} \sin \left(5 x \right)}{34}"," ",0,"3/34*exp(3*x)*cos(5*x)+5/34*exp(3*x)*sin(5*x)","A"
283,1,14,13,0.075000," ","int(cos(3*x)*cos(5*x),x)","\frac{\sin \left(2 x \right)}{4}+\frac{\sin \left(8 x \right)}{16}"," ",0,"1/4*sin(2*x)+1/16*sin(8*x)","A"
284,1,20,19,0.006000," ","int(1/(x^3+x^2+x+1),x)","\frac{\arctan \left(x \right)}{2}+\frac{\ln \left(x +1\right)}{2}-\frac{\ln \left(x^{2}+1\right)}{4}"," ",0,"1/2*arctan(x)+1/2*ln(x+1)-1/4*ln(x^2+1)","A"
285,1,46,29,0.004000," ","int(x^2*ln(x+1),x)","-\frac{x^{3}}{9}+\frac{x^{2}}{6}-\frac{x}{3}+\frac{\left(x +1\right)^{3} \ln \left(x +1\right)}{3}-\left(x +1\right)^{2} \ln \left(x +1\right)+\left(x +1\right) \ln \left(x +1\right)-\frac{11}{18}"," ",0,"1/3*(x+1)^3*ln(x+1)-1/9*x^3+1/6*x^2-1/3*x-11/18-(x+1)^2*ln(x+1)+(x+1)*ln(x+1)","A"
286,1,14,20,0.003000," ","int(x^5/exp(x^3),x)","-\frac{\left(x^{3}+1\right) {\mathrm e}^{-x^{3}}}{3}"," ",0,"-1/3*(x^3+1)/exp(x^3)","A"
287,1,11,10,0.006000," ","int(tan(4*x)^2,x)","-x +\frac{\tan \left(4 x \right)}{4}"," ",0,"-x+1/4*tan(4*x)","A"
288,1,30,21,0.005000," ","int(1/(9*x^2+12*x-5)^(1/2),x)","\frac{\sqrt{9}\, \ln \left(\frac{\left(9 x +6\right) \sqrt{9}}{9}+\sqrt{9 x^{2}+12 x -5}\right)}{9}"," ",0,"1/9*ln(1/9*(9*x+6)*9^(1/2)+(9*x^2+12*x-5)^(1/2))*9^(1/2)","A"
289,1,22,21,0.004000," ","int(x^2*arctan(x),x)","\frac{x^{3} \arctan \left(x \right)}{3}-\frac{x^{2}}{6}+\frac{\ln \left(x^{2}+1\right)}{6}"," ",0,"-1/6*x^2+1/3*x^3*arctan(x)+1/6*ln(x^2+1)","A"
290,1,12,11,0.002000," ","int((1-x^(1/2))/x^(1/3),x)","-\frac{6 x^{\frac{7}{6}}}{7}+\frac{3 x^{\frac{2}{3}}}{2}"," ",0,"3/2*x^(2/3)-6/7*x^(7/6)","A"
291,1,6,5,0.005000," ","int(1/(-1/exp(x)+exp(x)),x)","-\arctanh \left({\mathrm e}^{x}\right)"," ",0,"-arctanh(exp(x))","A"
292,1,11,10,0.005000," ","int(x/(x^4+2*x^2+10),x)","\frac{\arctan \left(\frac{x^{2}}{3}+\frac{1}{3}\right)}{6}"," ",0,"1/6*arctan(1/3*x^2+1/3)","A"
293,1,9,8,0.001000," ","int(1/(1/x^(1/3)+x),x)","\frac{3 \ln \left(x^{\frac{4}{3}}+1\right)}{4}"," ",0,"3/4*ln(1+x^(4/3))","A"
294,1,26,26,0.001000," ","int(cos(x)^4*sin(x)^2,x)","-\frac{\left(\cos^{5}\left(x \right)\right) \sin \left(x \right)}{6}+\frac{x}{16}+\frac{\left(\cos^{3}\left(x \right)+\frac{3 \cos \left(x \right)}{2}\right) \sin \left(x \right)}{24}"," ",0,"-1/6*cos(x)^5*sin(x)+1/24*(cos(x)^3+3/2*cos(x))*sin(x)+1/16*x","A"
295,1,7,6,0.005000," ","int(1/(-x^2-4*x+5)^(1/2),x)","\arcsin \left(\frac{x}{3}+\frac{2}{3}\right)"," ",0,"arcsin(2/3+1/3*x)","A"
296,1,59,14,0.018000," ","int(x/(1-x^2+(-x^2+1)^(1/2)),x)","-\arctanh \left(\frac{1}{\sqrt{-x^{2}+1}}\right)-\ln \left(x \right)-\frac{\sqrt{2 x -\left(x +1\right)^{2}+2}}{2}-\frac{\sqrt{-2 x -\left(x -1\right)^{2}+2}}{2}+\sqrt{-x^{2}+1}"," ",0,"-ln(x)-1/2*(-(x+1)^2+2*x+2)^(1/2)-1/2*(-(x-1)^2-2*x+2)^(1/2)+(-x^2+1)^(1/2)-arctanh(1/(-x^2+1)^(1/2))","B"
297,1,6,7,0.029000," ","int((cos(x)+1)*csc(x),x)","\ln \left(\cos \left(x \right)-1\right)"," ",0,"ln(cos(x)-1)","A"
298,1,6,5,0.009000," ","int(exp(x)/(-1+exp(2*x)),x)","-\arctanh \left({\mathrm e}^{x}\right)"," ",0,"-arctanh(exp(x))","A"
299,1,35,34,0.005000," ","int(1/(x^3-8),x)","-\frac{\sqrt{3}\, \arctan \left(\frac{\left(2 x +2\right) \sqrt{3}}{6}\right)}{12}+\frac{\ln \left(x -2\right)}{12}-\frac{\ln \left(x^{2}+2 x +4\right)}{24}"," ",0,"-1/24*ln(x^2+2*x+4)-1/12*3^(1/2)*arctan(1/6*(2*x+2)*3^(1/2))+1/12*ln(x-2)","A"
300,1,38,37,0.017000," ","int(x^5*cosh(x),x)","x^{5} \sinh \left(x \right)-5 x^{4} \cosh \left(x \right)+20 x^{3} \sinh \left(x \right)-60 x^{2} \cosh \left(x \right)+120 x \sinh \left(x \right)-120 \cosh \left(x \right)"," ",0,"-120*cosh(x)-60*x^2*cosh(x)-5*x^4*cosh(x)+120*x*sinh(x)+20*x^3*sinh(x)+x^5*sinh(x)","A"
301,1,8,7,0.043000," ","int(ln(tan(x))/cos(x)/sin(x),x)","\frac{\ln \left(\tan \left(x \right)\right)^{2}}{2}"," ",0,"1/2*ln(tan(x))^2","A"
302,1,17,16,0.002000," ","int(x^3+x^2-2*x,x)","\frac{1}{4} x^{4}+\frac{1}{3} x^{3}-x^{2}"," ",0,"-x^2+1/3*x^3+1/4*x^4","A"
303,1,12,11,0.010000," ","int((exp(x)+1)/(-exp(x)+1),x)","-2 \ln \left({\mathrm e}^{x}-1\right)+\ln \left({\mathrm e}^{x}\right)"," ",0,"-2*ln(-1+exp(x))+ln(exp(x))","A"
304,1,18,17,0.010000," ","int(x/(x^2+1)/(x^2+4),x)","\frac{\ln \left(x^{2}+1\right)}{6}-\frac{\ln \left(x^{2}+4\right)}{6}"," ",0,"1/6*ln(x^2+1)-1/6*ln(x^2+4)","A"
305,1,22,31,0.029000," ","int(1/(4-5*sin(x)),x)","\frac{\ln \left(\tan \left(\frac{x}{2}\right)-2\right)}{3}-\frac{\ln \left(2 \tan \left(\frac{x}{2}\right)-1\right)}{3}"," ",0,"1/3*ln(tan(1/2*x)-2)-1/3*ln(2*tan(1/2*x)-1)","A"
306,1,15,16,0.003000," ","int(x*(c+x)^(1/3),x)","-\frac{3 \left(c +x \right)^{\frac{4}{3}} \left(3 c -4 x \right)}{28}"," ",0,"-3/28*(c+x)^(4/3)*(3*c-4*x)","A"
307,1,26,25,0.005000," ","int(exp(x^(1/3)),x)","3 x^{\frac{2}{3}} {\mathrm e}^{x^{\frac{1}{3}}}-6 x^{\frac{1}{3}} {\mathrm e}^{x^{\frac{1}{3}}}+6 \,{\mathrm e}^{x^{\frac{1}{3}}}"," ",0,"6*exp(x^(1/3))-6*exp(x^(1/3))*x^(1/3)+3*exp(x^(1/3))*x^(2/3)","A"
308,1,93,30,0.015000," ","int(1/(4+x+(x+1)^(1/2)),x)","\frac{\sqrt{11}\, \arctan \left(\frac{\left(2 x +7\right) \sqrt{11}}{11}\right)}{11}-\frac{\sqrt{11}\, \arctan \left(\frac{\left(2 \sqrt{x +1}-1\right) \sqrt{11}}{11}\right)}{11}-\frac{\sqrt{11}\, \arctan \left(\frac{\left(2 \sqrt{x +1}+1\right) \sqrt{11}}{11}\right)}{11}+\frac{\ln \left(x +4+\sqrt{x +1}\right)}{2}-\frac{\ln \left(x +4-\sqrt{x +1}\right)}{2}+\frac{\ln \left(x^{2}+7 x +15\right)}{2}"," ",0,"-1/2*ln(x+4-(x+1)^(1/2))-1/11*11^(1/2)*arctan(1/11*(2*(x+1)^(1/2)-1)*11^(1/2))+1/2*ln(4+x+(x+1)^(1/2))-1/11*arctan(1/11*(2*(x+1)^(1/2)+1)*11^(1/2))*11^(1/2)+1/11*11^(1/2)*arctan(1/11*(2*x+7)*11^(1/2))+1/2*ln(x^2+7*x+15)","B"
309,1,16,17,0.009000," ","int((x^3+1)/(x^3-x^2),x)","x -\ln \left(x \right)+2 \ln \left(x -1\right)+\frac{1}{x}"," ",0,"x+2*ln(x-1)+1/x-ln(x)","A"
310,1,35,34,0.022000," ","int((x^2+4*x-3)*sin(2*x),x)","-\frac{x^{2} \cos \left(2 x \right)}{2}-2 x \cos \left(2 x \right)+\frac{x \sin \left(2 x \right)}{2}+\frac{7 \cos \left(2 x \right)}{4}+\sin \left(2 x \right)"," ",0,"7/4*cos(2*x)-2*x*cos(2*x)-1/2*x^2*cos(2*x)+sin(2*x)+1/2*x*sin(2*x)","A"
311,1,6,5,0.011000," ","int(cos(cos(x))*sin(x),x)","-\sin \left(\cos \left(x \right)\right)"," ",0,"-sin(cos(x))","A"
312,1,5,4,0.004000," ","int(1/(-x^2+16)^(1/2),x)","\arcsin \left(\frac{x}{4}\right)"," ",0,"arcsin(1/4*x)","A"
313,1,30,29,0.007000," ","int(x^3/(x+1)^10,x)","\frac{1}{9 \left(x +1\right)^{9}}-\frac{3}{8 \left(x +1\right)^{8}}+\frac{3}{7 \left(x +1\right)^{7}}-\frac{1}{6 \left(x +1\right)^{6}}"," ",0,"1/9/(x+1)^9-3/8/(x+1)^8+3/7/(x+1)^7-1/6/(x+1)^6","A"
314,1,58,17,0.062000," ","int(cot(2*x)^3*csc(2*x)^3,x)","\frac{\cos^{4}\left(2 x \right)}{30 \sin \left(2 x \right)}-\frac{\cos^{4}\left(2 x \right)}{30 \sin \left(2 x \right)^{3}}+\frac{\left(\cos^{2}\left(2 x \right)+2\right) \sin \left(2 x \right)}{30}-\frac{\cos^{4}\left(2 x \right)}{10 \sin \left(2 x \right)^{5}}"," ",0,"-1/10/sin(2*x)^5*cos(2*x)^4-1/30/sin(2*x)^3*cos(2*x)^4+1/30/sin(2*x)*cos(2*x)^4+1/30*(2+cos(2*x)^2)*sin(2*x)","B"
315,1,25,24,0.023000," ","int((x+sin(x))^2,x)","\frac{x^{3}}{3}-2 x \cos \left(x \right)-\frac{\cos \left(x \right) \sin \left(x \right)}{2}+\frac{x}{2}+2 \sin \left(x \right)"," ",0,"1/2*x+1/3*x^3-2*x*cos(x)+2*sin(x)-1/2*cos(x)*sin(x)","A"
316,1,4,3,0.005000," ","int(exp(arctan(x))/(x^2+1),x)","{\mathrm e}^{\arctan \left(x \right)}"," ",0,"exp(arctan(x))","A"
317,1,12,11,0.006000," ","int(1/x/(x^4+1),x)","\ln \left(x \right)-\frac{\ln \left(x^{4}+1\right)}{4}"," ",0,"ln(x)-1/4*ln(x^4+1)","A"
318,1,24,40,0.003000," ","int(t^3/exp(2*t),t)","-\frac{\left(4 t^{3}+6 t^{2}+6 t +3\right) {\mathrm e}^{-2 t}}{8}"," ",0,"-1/8*(4*t^3+6*t^2+6*t+3)/exp(2*t)","A"
319,1,28,27,0.003000," ","int(t^(1/2)/(1+t^(1/3)),t)","\frac{6 t^{\frac{7}{6}}}{7}+6 \arctan \left(t^{\frac{1}{6}}\right)-\frac{6 t^{\frac{5}{6}}}{5}+2 \sqrt{t}-6 t^{\frac{1}{6}}"," ",0,"-6*t^(1/6)-6/5*t^(5/6)+6/7*t^(7/6)+6*arctan(t^(1/6))+2*t^(1/2)","A"
320,1,20,19,0.078000," ","int(sin(x)*sin(2*x)*sin(3*x),x)","-\frac{\cos \left(2 x \right)}{8}-\frac{\cos \left(4 x \right)}{16}+\frac{\cos \left(6 x \right)}{24}"," ",0,"-1/8*cos(2*x)-1/16*cos(4*x)+1/24*cos(6*x)","A"
321,1,11,10,0.002000," ","int(ln(1/2*x),x)","x \ln \left(\frac{x}{2}\right)-x"," ",0,"-x+x*ln(1/2*x)","A"
322,1,41,37,0.008000," ","int(((x+1)/(-x+1))^(1/2),x)","\frac{\sqrt{-\frac{x +1}{x -1}}\, \left(x -1\right) \left(-\arcsin \left(x \right)+\sqrt{-x^{2}+1}\right)}{\sqrt{-\left(x -1\right) \left(x +1\right)}}"," ",0,"(-(x+1)/(x-1))^(1/2)*(x-1)/(-(x-1)*(x+1))^(1/2)*((-x^2+1)^(1/2)-arcsin(x))","A"
323,1,119,28,0.000000," ","int(x*ln(x)/(x^2-1)^(1/2),x)","\frac{\sqrt{-\mathrm{signum}\left(x^{2}-1\right)}\, \left(2-2 \sqrt{-x^{2}+1}\right) \ln \left(x \right)}{2 \sqrt{\mathrm{signum}\left(x^{2}-1\right)}}-\frac{\sqrt{-\mathrm{signum}\left(x^{2}-1\right)}\, \left(2-2 \sqrt{-x^{2}+1}\right)}{4 \sqrt{\mathrm{signum}\left(x^{2}-1\right)}}+\frac{\sqrt{-\mathrm{signum}\left(x^{2}-1\right)}\, \left(-32 \ln \left(\frac{1}{2}+\frac{\sqrt{-x^{2}+1}}{2}\right)-16+16 \sqrt{-x^{2}+1}\right)}{32 \sqrt{\mathrm{signum}\left(x^{2}-1\right)}}"," ",0,"1/2*(-signum(x^2-1))^(1/2)*(2-2*(-x^2+1)^(1/2))*ln(x)/signum(x^2-1)^(1/2)-1/4*(-signum(x^2-1))^(1/2)*(2-2*(-x^2+1)^(1/2))/signum(x^2-1)^(1/2)+1/32*(-signum(x^2-1))^(1/2)*(-32*ln(1/2+1/2*(-x^2+1)^(1/2))-16+16*(-x^2+1)^(1/2))/signum(x^2-1)^(1/2)","C"
324,1,18,17,0.004000," ","int((a+x)/(a^2+x^2),x)","\arctan \left(\frac{x}{a}\right)+\frac{\ln \left(a^{2}+x^{2}\right)}{2}"," ",0,"arctan(1/a*x)+1/2*ln(a^2+x^2)","A"
325,1,30,31,0.003000," ","int((-x^2+x+1)^(1/2),x)","\frac{5 \arcsin \left(\frac{2 \sqrt{5}\, \left(x -\frac{1}{2}\right)}{5}\right)}{8}-\frac{\left(-2 x +1\right) \sqrt{-x^{2}+x +1}}{4}"," ",0,"-1/4*(1-2*x)*(-x^2+x+1)^(1/2)+5/8*arcsin(2/5*5^(1/2)*(x-1/2))","A"
326,1,9,8,0.003000," ","int(x^4/(x^10+16),x)","\frac{\arctan \left(\frac{x^{5}}{4}\right)}{20}"," ",0,"1/20*arctan(1/4*x^5)","A"
327,1,27,26,0.002000," ","int((x+2)/(x^2+x+2),x)","\frac{3 \sqrt{7}\, \arctan \left(\frac{\left(2 x +1\right) \sqrt{7}}{7}\right)}{7}+\frac{\ln \left(x^{2}+x +2\right)}{2}"," ",0,"1/2*ln(x^2+x+2)+3/7*7^(1/2)*arctan(1/7*(2*x+1)*7^(1/2))","A"
328,1,16,10,0.013000," ","int(x*sec(x)*tan(x),x)","-\ln \left(\sec \left(x \right)+\tan \left(x \right)\right)+\frac{x}{\cos \left(x \right)}"," ",0,"x/cos(x)-ln(sec(x)+tan(x))","A"
329,1,30,13,0.005000," ","int(x/(-a^4+x^4),x)","\frac{\ln \left(-a^{2}+x^{2}\right)}{4 a^{2}}-\frac{\ln \left(a^{2}+x^{2}\right)}{4 a^{2}}"," ",0,"-1/4/a^2*ln(a^2+x^2)+1/4/a^2*ln(-a^2+x^2)","B"
330,1,14,13,0.001000," ","int(1/(x^(1/2)+(x+1)^(1/2)),x)","-\frac{2 x^{\frac{3}{2}}}{3}+\frac{2 \left(x +1\right)^{\frac{3}{2}}}{3}"," ",0,"-2/3*x^(3/2)+2/3*(x+1)^(3/2)","A"
331,1,18,17,0.007000," ","int(1/(1-1/exp(x)+2*exp(x)),x)","-\frac{\ln \left({\mathrm e}^{x}+1\right)}{3}+\frac{\ln \left(2 \,{\mathrm e}^{x}-1\right)}{3}"," ",0,"-1/3*ln(exp(x)+1)+1/3*ln(2*exp(x)-1)","A"
332,1,17,16,0.005000," ","int(arctan(x^(1/2))/x^(1/2),x)","2 \sqrt{x}\, \arctan \left(\sqrt{x}\right)-\ln \left(x +1\right)"," ",0,"-ln(x+1)+2*arctan(x^(1/2))*x^(1/2)","A"
333,1,16,18,0.010000," ","int(ln(x+1)/x^2,x)","\ln \left(x \right)-\frac{\left(x +1\right) \ln \left(x +1\right)}{x}"," ",0,"ln(x)-ln(x+1)*(x+1)/x","A"
334,1,20,10,0.012000," ","int(1/(-exp(x)+exp(3*x)),x)","{\mathrm e}^{-x}+\frac{\ln \left({\mathrm e}^{x}-1\right)}{2}-\frac{\ln \left({\mathrm e}^{x}+1\right)}{2}"," ",0,"-1/2*ln(exp(x)+1)+1/exp(x)+1/2*ln(exp(x)-1)","A"
335,1,11,8,0.049000," ","int((cos(x)^2+1)/(-cos(x)^2+1),x)","-x -\frac{2}{\tan \left(x \right)}"," ",0,"-2/tan(x)-x","A"
336,1,13,12,0.006000," ","int(1/x/(-25+2*x)^(1/2),x)","\frac{2 \arctan \left(\frac{\sqrt{2 x -25}}{5}\right)}{5}"," ",0,"2/5*arctan(1/5*(-25+2*x)^(1/2))","A"
337,1,10,9,0.049000," ","int(sin(2*x)/(9-cos(x)^4)^(1/2),x)","-\arcsin \left(\frac{\left(\cos^{2}\left(x \right)\right)}{3}\right)"," ",0,"-arcsin(1/3*cos(x)^2)","A"
338,1,23,22,0.005000," ","int(x^2/(-4*x^2+5)^(1/2),x)","-\frac{\sqrt{-4 x^{2}+5}\, x}{8}+\frac{5 \arcsin \left(\frac{2 \sqrt{5}\, x}{5}\right)}{16}"," ",0,"5/16*arcsin(2/5*5^(1/2)*x)-1/8*x*(-4*x^2+5)^(1/2)","A"
339,1,25,24,0.012000," ","int(x^3*sin(x),x)","-x^{3} \cos \left(x \right)+3 x^{2} \sin \left(x \right)+6 x \cos \left(x \right)-6 \sin \left(x \right)"," ",0,"-x^3*cos(x)+3*x^2*sin(x)+6*x*cos(x)-6*sin(x)","A"
340,1,42,39,0.007000," ","int(x*(x^2+2*x+4)^(1/2),x)","-\frac{3 \arcsinh \left(\frac{\left(x +1\right) \sqrt{3}}{3}\right)}{2}+\frac{\left(x^{2}+2 x +4\right)^{\frac{3}{2}}}{3}-\frac{\left(2 x +2\right) \sqrt{x^{2}+2 x +4}}{4}"," ",0,"1/3*(x^2+2*x+4)^(3/2)-1/4*(2*x+2)*(x^2+2*x+4)^(1/2)-3/2*arcsinh(1/3*(x+1)*3^(1/2))","A"
341,1,47,9,0.001000," ","int(x*(x^2+5)^8,x)","\frac{1}{18} x^{18}+\frac{5}{2} x^{16}+50 x^{14}+\frac{1750}{3} x^{12}+4375 x^{10}+21875 x^{8}+\frac{218750}{3} x^{6}+156250 x^{4}+\frac{390625}{2} x^{2}"," ",0,"1/18*x^18+5/2*x^16+50*x^14+1750/3*x^12+4375*x^10+21875*x^8+218750/3*x^6+156250*x^4+390625/2*x^2","B"
342,1,28,19,0.009000," ","int(cos(x)^2*sin(x)^5,x)","-\frac{\left(\cos^{3}\left(x \right)\right) \left(\sin^{4}\left(x \right)\right)}{7}-\frac{4 \left(\cos^{3}\left(x \right)\right) \left(\sin^{2}\left(x \right)\right)}{35}-\frac{8 \left(\cos^{3}\left(x \right)\right)}{105}"," ",0,"-1/7*cos(x)^3*sin(x)^4-4/35*sin(x)^2*cos(x)^3-8/105*cos(x)^3","A"
343,1,22,25,0.016000," ","int(cos(4*x)/exp(3*x),x)","-\frac{3 \cos \left(4 x \right) {\mathrm e}^{-3 x}}{25}+\frac{4 \,{\mathrm e}^{-3 x} \sin \left(4 x \right)}{25}"," ",0,"-3/25*exp(-3*x)*cos(4*x)+4/25*exp(-3*x)*sin(4*x)","A"
344,1,24,18,0.018000," ","int(csc(1/2*x)^3,x)","-\cot \left(\frac{x}{2}\right) \csc \left(\frac{x}{2}\right)+\ln \left(-\cot \left(\frac{x}{2}\right)+\csc \left(\frac{x}{2}\right)\right)"," ",0,"-cot(1/2*x)*csc(1/2*x)+ln(csc(1/2*x)-cot(1/2*x))","A"
345,1,47,30,0.006000," ","int((9*x^2-1)^(1/2)/x^2,x)","-9 \sqrt{9 x^{2}-1}\, x +\sqrt{9}\, \ln \left(\sqrt{9}\, x +\sqrt{9 x^{2}-1}\right)+\frac{\left(9 x^{2}-1\right)^{\frac{3}{2}}}{x}"," ",0,"1/x*(9*x^2-1)^(3/2)-9*x*(9*x^2-1)^(1/2)+ln(x*9^(1/2)+(9*x^2-1)^(1/2))*9^(1/2)","A"
346,1,25,24,0.006000," ","int((-3*x^2+4)^(1/2)/x,x)","-2 \arctanh \left(\frac{2}{\sqrt{-3 x^{2}+4}}\right)+\sqrt{-3 x^{2}+4}"," ",0,"(-3*x^2+4)^(1/2)-2*arctanh(2/(-3*x^2+4)^(1/2))","A"
347,1,17,23,0.003000," ","int(exp(3*x)*x^2,x)","\frac{\left(9 x^{2}-6 x +2\right) {\mathrm e}^{3 x}}{27}"," ",0,"1/27*(9*x^2-6*x+2)*exp(3*x)","A"
348,1,18,17,0.016000," ","int(cos(x)*sin(x)/(sin(x)+1)^(1/2),x)","\frac{2 \left(\sin \left(x \right)+1\right)^{\frac{3}{2}}}{3}-2 \sqrt{\sin \left(x \right)+1}"," ",0,"2/3*(sin(x)+1)^(3/2)-2*(sin(x)+1)^(1/2)","A"
349,1,22,21,0.004000," ","int(x*arcsin(x^2),x)","\frac{x^{2} \arcsin \left(x^{2}\right)}{2}+\frac{\sqrt{-x^{4}+1}}{2}"," ",0,"1/2*x^2*arcsin(x^2)+1/2*(-x^4+1)^(1/2)","A"
350,1,31,30,0.003000," ","int(x^3*arcsin(x^2),x)","\frac{x^{4} \arcsin \left(x^{2}\right)}{4}+\frac{\sqrt{-x^{4}+1}\, x^{2}}{8}-\frac{\arcsin \left(x^{2}\right)}{8}"," ",0,"-1/8*arcsin(x^2)+1/4*x^4*arcsin(x^2)+1/8*x^2*(-x^4+1)^(1/2)","A"
351,1,5,4,0.005000," ","int(exp(x)*sech(exp(x)),x)","\arctan \left(\sinh \left({\mathrm e}^{x}\right)\right)"," ",0,"arctan(sinh(exp(x)))","A"
352,1,24,23,0.003000," ","int(x^2*cos(3*x),x)","\frac{x^{2} \sin \left(3 x \right)}{3}+\frac{2 x \cos \left(3 x \right)}{9}-\frac{2 \sin \left(3 x \right)}{27}"," ",0,"1/3*x^2*sin(3*x)+2/9*x*cos(3*x)-2/27*sin(3*x)","A"
353,1,29,26,0.003000," ","int((-x^2-4*x+5)^(1/2),x)","\frac{9 \arcsin \left(\frac{x}{3}+\frac{2}{3}\right)}{2}-\frac{\left(-2 x -4\right) \sqrt{-x^{2}-4 x +5}}{4}"," ",0,"-1/4*(-2*x-4)*(-x^2-4*x+5)^(1/2)+9/2*arcsin(1/3*x+2/3)","A"
354,1,23,22,0.013000," ","int(x^5/(x^2+2^(1/2)),x)","\frac{x^{4}}{4}-\frac{\sqrt{2}\, x^{2}}{2}+\ln \left(x^{2}+\sqrt{2}\right)"," ",0,"1/4*x^4+ln(x^2+2^(1/2))-1/2*2^(1/2)*x^2","A"
355,1,25,20,0.066000," ","int(sec(x)^5,x)","\frac{3 \ln \left(\sec \left(x \right)+\tan \left(x \right)\right)}{8}-\left(-\frac{\left(\sec^{3}\left(x \right)\right)}{4}-\frac{3 \sec \left(x \right)}{8}\right) \tan \left(x \right)"," ",0,"-(-1/4*sec(x)^3-3/8*sec(x))*tan(x)+3/8*ln(sec(x)+tan(x))","A"
356,1,32,38,0.017000," ","int(sin(2*x)^6,x)","\frac{5 x}{16}-\frac{\left(\sin^{5}\left(2 x \right)+\frac{5 \left(\sin^{3}\left(2 x \right)\right)}{4}+\frac{15 \sin \left(2 x \right)}{8}\right) \cos \left(2 x \right)}{12}"," ",0,"-1/12*(sin(2*x)^5+5/4*sin(2*x)^3+15/8*sin(2*x))*cos(2*x)+5/16*x","A"
357,1,17,16,0.009000," ","int(cos(x)*ln(sin(x))*sin(x)^2,x)","\frac{\ln \left(\sin \left(x \right)\right) \left(\sin^{3}\left(x \right)\right)}{3}-\frac{\left(\sin^{3}\left(x \right)\right)}{9}"," ",0,"-1/9*sin(x)^3+1/3*ln(sin(x))*sin(x)^3","A"
358,1,22,19,0.008000," ","int(1/exp(x)/(1+2*exp(x)),x)","-{\mathrm e}^{-x}+2 \ln \left(2 \,{\mathrm e}^{x}+1\right)-2 \ln \left({\mathrm e}^{x}\right)"," ",0,"2*ln(1+2*exp(x))-1/exp(x)-2*ln(exp(x))","A"
359,1,31,30,0.027000," ","int((2+3*cos(x))^(1/2)*tan(x),x)","2 \sqrt{2}\, \arctanh \left(\frac{\sqrt{3 \cos \left(x \right)+2}\, \sqrt{2}}{2}\right)-2 \sqrt{3 \cos \left(x \right)+2}"," ",0,"2*arctanh(1/2*(2+3*cos(x))^(1/2)*2^(1/2))*2^(1/2)-2*(2+3*cos(x))^(1/2)","A"
360,1,26,24,0.004000," ","int(x/(x^2-4*x)^(1/2),x)","2 \ln \left(x -2+\sqrt{x^{2}-4 x}\right)+\sqrt{x^{2}-4 x}"," ",0,"(x^2-4*x)^(1/2)+2*ln(x-2+(x^2-4*x)^(1/2))","A"
361,1,17,15,0.062000," ","int(cos(x)^5,x)","\frac{\left(\cos^{4}\left(x \right)+\frac{4 \left(\cos^{2}\left(x \right)\right)}{3}+\frac{8}{3}\right) \sin \left(x \right)}{5}"," ",0,"1/5*(8/3+cos(x)^4+4/3*cos(x)^2)*sin(x)","A"
362,1,25,41,0.003000," ","int(x^4/exp(x),x)","-\left(x^{4}+4 x^{3}+12 x^{2}+24 x +24\right) {\mathrm e}^{-x}"," ",0,"-(x^4+4*x^3+12*x^2+24*x+24)/exp(x)","A"
363,1,34,14,0.079000," ","int(x^4/(x^10-2)^(1/2),x)","\frac{\sqrt{-\mathrm{signum}\left(\frac{x^{10}}{2}-1\right)}\, \arcsin \left(\frac{\sqrt{2}\, x^{5}}{2}\right)}{5 \sqrt{\mathrm{signum}\left(\frac{x^{10}}{2}-1\right)}}"," ",0,"1/5/signum(-1+1/2*x^10)^(1/2)*(-signum(-1+1/2*x^10))^(1/2)*arcsin(1/2*x^5*2^(1/2))","C"
364,1,22,21,0.014000," ","int(exp(x)*cos(3*x+4),x)","\frac{\cos \left(3 x +4\right) {\mathrm e}^{x}}{10}+\frac{3 \,{\mathrm e}^{x} \sin \left(3 x +4\right)}{10}"," ",0,"1/10*exp(x)*cos(3*x+4)+3/10*exp(x)*sin(3*x+4)","A"
365,1,17,15,0.003000," ","int(exp(x)*ln(exp(x)+1),x)","-{\mathrm e}^{x}+\left({\mathrm e}^{x}+1\right) \ln \left({\mathrm e}^{x}+1\right)-1"," ",0,"(exp(x)+1)*ln(exp(x)+1)-1-exp(x)","A"
366,1,22,21,0.001000," ","int(x^2*arctan(x),x)","\frac{x^{3} \arctan \left(x \right)}{3}-\frac{x^{2}}{6}+\frac{\ln \left(x^{2}+1\right)}{6}"," ",0,"1/3*x^3*arctan(x)-1/6*x^2+1/6*ln(x^2+1)","A"
367,1,21,20,0.006000," ","int((-1+exp(2*x))^(1/2),x)","-\arctan \left(\sqrt{{\mathrm e}^{2 x}-1}\right)+\sqrt{{\mathrm e}^{2 x}-1}"," ",0,"-arctan((-1+exp(2*x))^(1/2))+(-1+exp(2*x))^(1/2)","A"
368,1,14,13,0.020000," ","int(exp(sin(x))*sin(2*x),x)","2 \,{\mathrm e}^{\sin \left(x \right)} \sin \left(x \right)-2 \,{\mathrm e}^{\sin \left(x \right)}"," ",0,"-2*exp(sin(x))+2*exp(sin(x))*sin(x)","A"
369,1,35,36,0.005000," ","int(x^2*(-x^2+5)^(1/2),x)","-\frac{\left(-x^{2}+5\right)^{\frac{3}{2}} x}{4}+\frac{5 \sqrt{-x^{2}+5}\, x}{8}+\frac{25 \arcsin \left(\frac{\sqrt{5}\, x}{5}\right)}{8}"," ",0,"-1/4*x*(-x^2+5)^(3/2)+5/8*(-x^2+5)^(1/2)*x+25/8*arcsin(1/5*5^(1/2)*x)","A"
370,1,27,9,0.002000," ","int(x^2*(x^3+1)^4,x)","\frac{1}{15} x^{15}+\frac{1}{3} x^{12}+\frac{2}{3} x^{9}+\frac{2}{3} x^{6}+\frac{1}{3} x^{3}"," ",0,"1/15*x^15+1/3*x^12+2/3*x^9+2/3*x^6+1/3*x^3","B"
371,1,18,13,0.008000," ","int(cos(x)^3*sin(x)^3,x)","-\frac{\left(\cos^{4}\left(x \right)\right) \left(\sin^{2}\left(x \right)\right)}{6}-\frac{\left(\cos^{4}\left(x \right)\right)}{12}"," ",0,"-1/6*cos(x)^4*sin(x)^2-1/12*cos(x)^4","A"
372,1,22,13,0.001000," ","int(sec(x)^4*tan(x)^2,x)","\frac{2 \left(\sin^{3}\left(x \right)\right)}{15 \cos \left(x \right)^{3}}+\frac{\sin^{3}\left(x \right)}{5 \cos \left(x \right)^{5}}"," ",0,"2/15/cos(x)^3*sin(x)^3+1/5/cos(x)^5*sin(x)^3","A"
373,1,15,19,0.002000," ","int(x*(2*x+1)^(1/2),x)","\frac{\left(2 x +1\right)^{\frac{3}{2}} \left(3 x -1\right)}{15}"," ",0,"1/15*(2*x+1)^(3/2)*(3*x-1)","A"
374,1,18,18,0.001000," ","int(sin(x)^4,x)","\frac{3 x}{8}-\frac{\left(\sin^{3}\left(x \right)+\frac{3 \sin \left(x \right)}{2}\right) \cos \left(x \right)}{4}"," ",0,"3/8*x-1/4*(sin(x)^3+3/2*sin(x))*cos(x)","A"
375,1,17,10,0.003000," ","int(tan(x)^3,x)","\frac{\left(\tan^{2}\left(x \right)\right)}{2}-\frac{\ln \left(\tan^{2}\left(x \right)+1\right)}{2}"," ",0,"1/2*tan(x)^2-1/2*ln(tan(x)^2+1)","A"
376,1,22,28,0.004000," ","int(x^5*(x^2+1)^(1/2),x)","\frac{\left(x^{2}+1\right)^{\frac{3}{2}} \left(15 x^{4}-12 x^{2}+8\right)}{105}"," ",0,"1/105*(x^2+1)^(3/2)*(15*x^4-12*x^2+8)","A"