1,1,20,11,0.321488,"\text{Not used}","int(x^n,x)","\left\{\begin{array}{cl} \ln\left(x\right) & \text{\ if\ \ }n=-1\\ \frac{x^{n+1}}{n+1} & \text{\ if\ \ }n\neq -1 \end{array}\right.","Not used",1,"piecewise(n == -1, log(x), n ~= -1, x^(n + 1)/(n + 1))","B"
2,1,2,3,0.005603,"\text{Not used}","int(exp(x),x)","{\mathrm{e}}^x","Not used",1,"exp(x)","B"
3,1,2,2,0.002340,"\text{Not used}","int(1/x,x)","\ln\left(x\right)","Not used",1,"log(x)","B"
4,1,8,8,0.184627,"\text{Not used}","int(a^x,x)","\frac{a^x}{\ln\left(a\right)}","Not used",1,"a^x/log(a)","B"
5,1,4,4,0.020314,"\text{Not used}","int(sin(x),x)","-\cos\left(x\right)","Not used",1,"-cos(x)","B"
6,1,2,2,0.002588,"\text{Not used}","int(cos(x),x)","\sin\left(x\right)","Not used",1,"sin(x)","B"
7,1,2,2,0.023098,"\text{Not used}","int(1/cos(x)^2,x)","\mathrm{tan}\left(x\right)","Not used",1,"tan(x)","B"
8,1,4,4,0.009488,"\text{Not used}","int(1/sin(x)^2,x)","-\mathrm{cot}\left(x\right)","Not used",1,"-cot(x)","B"
9,1,12,2,0.264625,"\text{Not used}","int(tan(x)/cos(x),x)","-\frac{2}{{\mathrm{tan}\left(\frac{x}{2}\right)}^2-1}","Not used",1,"-2/(tan(x/2)^2 - 1)","B"
10,1,6,4,0.260695,"\text{Not used}","int(cot(x)/sin(x),x)","-\frac{1}{\sin\left(x\right)}","Not used",1,"-1/sin(x)","B"
11,1,2,2,0.019056,"\text{Not used}","int(sinh(x),x)","\mathrm{cosh}\left(x\right)","Not used",1,"cosh(x)","B"
12,1,2,2,0.016086,"\text{Not used}","int(cosh(x),x)","\mathrm{sinh}\left(x\right)","Not used",1,"sinh(x)","B"
13,1,5,5,0.027474,"\text{Not used}","int(tan(x),x)","-\ln\left(\cos\left(x\right)\right)","Not used",1,"-log(cos(x))","B"
14,1,3,3,0.002006,"\text{Not used}","int(cot(x),x)","\ln\left(\sin\left(x\right)\right)","Not used",1,"log(sin(x))","B"
15,1,8,8,0.021371,"\text{Not used}","int(x*sin(x),x)","\sin\left(x\right)-x\,\cos\left(x\right)","Not used",1,"sin(x) - x*cos(x)","B"
16,1,6,8,0.018064,"\text{Not used}","int(log(x),x)","x\,\left(\ln\left(x\right)-1\right)","Not used",1,"x*(log(x) - 1)","B"
17,1,11,19,0.022855,"\text{Not used}","int(x^2*exp(x),x)","{\mathrm{e}}^x\,\left(x^2-2\,x+2\right)","Not used",1,"exp(x)*(x^2 - 2*x + 2)","B"
18,1,11,19,0.002163,"\text{Not used}","int(exp(x)*sin(x),x)","-\frac{{\mathrm{e}}^x\,\left(\cos\left(x\right)-\sin\left(x\right)\right)}{2}","Not used",1,"-(exp(x)*(cos(x) - sin(x)))/2","B"
19,1,13,15,0.157419,"\text{Not used}","int(atan(x),x)","x\,\mathrm{atan}\left(x\right)-\frac{\ln\left(x^2+1\right)}{2}","Not used",1,"x*atan(x) - log(x^2 + 1)/2","B"
20,1,11,20,0.018793,"\text{Not used}","int(x*exp(2*x),x)","\frac{{\mathrm{e}}^{2\,x}\,\left(2\,x-1\right)}{4}","Not used",1,"(exp(2*x)*(2*x - 1))/4","B"
21,1,7,7,0.002103,"\text{Not used}","int(x*cos(x),x)","\cos\left(x\right)+x\,\sin\left(x\right)","Not used",1,"cos(x) + x*sin(x)","B"
22,1,14,18,0.027771,"\text{Not used}","int(x*sin(4*x),x)","\frac{\sin\left(4\,x\right)}{16}-\frac{x\,\cos\left(4\,x\right)}{4}","Not used",1,"sin(4*x)/16 - (x*cos(4*x))/4","B"
23,1,9,17,0.002181,"\text{Not used}","int(x*log(x),x)","\frac{x^2\,\left(\ln\left(x\right)-\frac{1}{2}\right)}{2}","Not used",1,"(x^2*(log(x) - 1/2))/2","B"
24,1,23,29,0.065087,"\text{Not used}","int(x^2*cos(3*x),x)","\frac{2\,x\,\cos\left(3\,x\right)}{9}-\frac{2\,\sin\left(3\,x\right)}{27}+\frac{x^2\,\sin\left(3\,x\right)}{3}","Not used",1,"(2*x*cos(3*x))/9 - (2*sin(3*x))/27 + (x^2*sin(3*x))/3","B"
25,1,24,29,0.029706,"\text{Not used}","int(x^2*sin(2*x),x)","\frac{x\,\sin\left(2\,x\right)}{2}+\left(2\,{\sin\left(x\right)}^2-1\right)\,\left(\frac{x^2}{2}-\frac{1}{4}\right)","Not used",1,"(x*sin(2*x))/2 + (2*sin(x)^2 - 1)*(x^2/2 - 1/4)","B"
26,1,12,15,0.031786,"\text{Not used}","int(log(x)^2,x)","x\,\left({\ln\left(x\right)}^2-2\,\ln\left(x\right)+2\right)","Not used",1,"x*(log(x)^2 - 2*log(x) + 2)","B"
27,1,14,16,0.002076,"\text{Not used}","int(asin(x),x)","x\,\mathrm{asin}\left(x\right)+\sqrt{1-x^2}","Not used",1,"x*asin(x) + (1 - x^2)^(1/2)","B"
28,1,18,23,0.046416,"\text{Not used}","int(t*cos(t)*sin(t),t)","\frac{\sin\left(2\,t\right)}{8}+\frac{t\,\left(2\,{\sin\left(t\right)}^2-1\right)}{4}","Not used",1,"sin(2*t)/8 + (t*(2*sin(t)^2 - 1))/4","B"
29,1,8,8,0.022106,"\text{Not used}","int(t/cos(t)^2,t)","\ln\left(\cos\left(t\right)\right)+t\,\mathrm{tan}\left(t\right)","Not used",1,"log(cos(t)) + t*tan(t)","B"
30,1,9,17,0.027791,"\text{Not used}","int(t^2*log(t),t)","\frac{t^3\,\left(\ln\left(t\right)-\frac{1}{3}\right)}{3}","Not used",1,"(t^3*(log(t) - 1/3))/3","B"
31,1,16,27,0.018408,"\text{Not used}","int(t^3*exp(t),t)","{\mathrm{e}}^t\,\left(t^3-3\,t^2+6\,t-6\right)","Not used",1,"exp(t)*(6*t - 3*t^2 + t^3 - 6)","B"
32,1,19,27,0.027491,"\text{Not used}","int(sin(3*t)*exp(2*t),t)","-\frac{{\mathrm{e}}^{2\,t}\,\left(3\,\cos\left(3\,t\right)-2\,\sin\left(3\,t\right)\right)}{13}","Not used",1,"-(exp(2*t)*(3*cos(3*t) - 2*sin(3*t)))/13","B"
33,1,17,27,0.025814,"\text{Not used}","int(cos(3*t)*exp(-t),t)","-\frac{{\mathrm{e}}^{-t}\,\left(\cos\left(3\,t\right)-3\,\sin\left(3\,t\right)\right)}{10}","Not used",1,"-(exp(-t)*(cos(3*t) - 3*sin(3*t)))/10","B"
34,1,9,9,0.018983,"\text{Not used}","int(y*sinh(y),y)","y\,\mathrm{cosh}\left(y\right)-\mathrm{sinh}\left(y\right)","Not used",1,"y*cosh(y) - sinh(y)","B"
35,1,18,19,0.059549,"\text{Not used}","int(y*cosh(a*y),y)","-\frac{\mathrm{cosh}\left(a\,y\right)-a\,y\,\mathrm{sinh}\left(a\,y\right)}{a^2}","Not used",1,"-(cosh(a*y) - a*y*sinh(a*y))/a^2","B"
36,1,9,16,0.020515,"\text{Not used}","int(t*exp(-t),t)","-{\mathrm{e}}^{-t}\,\left(t+1\right)","Not used",1,"-exp(-t)*(t + 1)","B"
37,1,9,21,0.030551,"\text{Not used}","int(t^(1/2)*log(t),t)","\frac{2\,t^{3/2}\,\left(\ln\left(t\right)-\frac{2}{3}\right)}{3}","Not used",1,"(2*t^(3/2)*(log(t) - 2/3))/3","B"
38,1,14,18,0.019733,"\text{Not used}","int(x*cos(2*x),x)","\frac{\cos\left(2\,x\right)}{4}+\frac{x\,\sin\left(2\,x\right)}{2}","Not used",1,"cos(2*x)/4 + (x*sin(2*x))/2","B"
39,1,14,26,0.029353,"\text{Not used}","int(x^2*exp(-x),x)","-{\mathrm{e}}^{-x}\,\left(x^2+2\,x+2\right)","Not used",1,"-exp(-x)*(2*x + x^2 + 2)","B"
40,1,16,18,0.169350,"\text{Not used}","int(acos(x),x)","x\,\mathrm{acos}\left(x\right)-\sqrt{1-x^2}","Not used",1,"x*acos(x) - (1 - x^2)^(1/2)","B"
41,1,9,9,0.147251,"\text{Not used}","int(x/sin(x)^2,x)","\ln\left(\sin\left(x\right)\right)-x\,\mathrm{cot}\left(x\right)","Not used",1,"log(sin(x)) - x*cot(x)","B"
42,1,13,17,0.039652,"\text{Not used}","int(cos(5*x)*sin(3*x),x)","\frac{\cos\left(2\,x\right)}{4}-\frac{\cos\left(8\,x\right)}{16}","Not used",1,"cos(2*x)/4 - cos(8*x)/16","B"
43,1,13,17,0.172740,"\text{Not used}","int(sin(2*x)*sin(4*x),x)","\frac{\sin\left(2\,x\right)}{4}-\frac{\sin\left(6\,x\right)}{12}","Not used",1,"sin(2*x)/4 - sin(6*x)/12","B"
44,1,8,11,0.200733,"\text{Not used}","int(log(sin(x))*cos(x),x)","\sin\left(x\right)\,\left(\ln\left(\sin\left(x\right)\right)-1\right)","Not used",1,"sin(x)*(log(sin(x)) - 1)","B"
45,1,11,22,0.029081,"\text{Not used}","int(x^3*exp(x^2),x)","\frac{{\mathrm{e}}^{x^2}\,\left(x^2-1\right)}{2}","Not used",1,"(exp(x^2)*(x^2 - 1))/2","B"
46,1,8,15,0.032604,"\text{Not used}","int(exp(x)*(2*x + 3),x)","{\mathrm{e}}^x\,\left(2\,x+1\right)","Not used",1,"exp(x)*(2*x + 1)","B"
47,1,14,19,0.022714,"\text{Not used}","int(5^x*x,x)","\frac{5^x\,\left(x\,\ln\left(5\right)-1\right)}{{\ln\left(5\right)}^2}","Not used",1,"(5^x*(x*log(5) - 1))/log(5)^2","B"
48,1,13,17,0.166517,"\text{Not used}","int(cos(log(x)),x)","\frac{\sqrt{2}\,x\,\sin\left(\frac{\pi }{4}+\ln\left(x\right)\right)}{2}","Not used",1,"(2^(1/2)*x*sin(pi/4 + log(x)))/2","B"
49,1,11,24,0.021411,"\text{Not used}","int(exp(x^(1/2)),x)","2\,{\mathrm{e}}^{\sqrt{x}}\,\left(\sqrt{x}-1\right)","Not used",1,"2*exp(x^(1/2))*(x^(1/2) - 1)","B"
50,1,7,14,0.024184,"\text{Not used}","int(log(x)/2,x)","\frac{x\,\left(\ln\left(x\right)-1\right)}{2}","Not used",1,"(x*(log(x) - 1))/2","B"
51,1,13,17,0.021853,"\text{Not used}","int(sin(log(x)),x)","-\frac{\sqrt{2}\,x\,\cos\left(\frac{\pi }{4}+\ln\left(x\right)\right)}{2}","Not used",1,"-(2^(1/2)*x*cos(pi/4 + log(x)))/2","B"
52,1,16,22,0.243533,"\text{Not used}","int(sin(x^(1/2)),x)","2\,\sin\left(\sqrt{x}\right)-2\,\sqrt{x}\,\cos\left(\sqrt{x}\right)","Not used",1,"2*sin(x^(1/2)) - 2*x^(1/2)*cos(x^(1/2))","B"
53,1,16,20,0.194390,"\text{Not used}","int(x^5*cos(x^3),x)","\frac{\cos\left(x^3\right)}{3}+\frac{x^3\,\sin\left(x^3\right)}{3}","Not used",1,"cos(x^3)/3 + (x^3*sin(x^3))/3","B"
54,1,16,28,0.028445,"\text{Not used}","int(x^5*exp(x^2),x)","\frac{{\mathrm{e}}^{x^2}\,\left(x^4-2\,x^2+2\right)}{2}","Not used",1,"(exp(x^2)*(x^4 - 2*x^2 + 2))/2","B"
55,1,14,21,0.018652,"\text{Not used}","int(x*atan(x),x)","\mathrm{atan}\left(x\right)\,\left(\frac{x^2}{2}+\frac{1}{2}\right)-\frac{x}{2}","Not used",1,"atan(x)*(x^2/2 + 1/2) - x/2","B"
56,1,16,18,0.023204,"\text{Not used}","int(x*cos(Pi*x),x)","\frac{\cos\left(\Pi \,x\right)+\Pi \,x\,\sin\left(\Pi \,x\right)}{\Pi ^2}","Not used",1,"(cos(Pi*x) + Pi*x*sin(Pi*x))/Pi^2","B"
57,1,9,21,0.017352,"\text{Not used}","int(x^(1/2)*log(x),x)","\frac{2\,x^{3/2}\,\left(\ln\left(x\right)-\frac{2}{3}\right)}{3}","Not used",1,"(2*x^(3/2)*(log(x) - 2/3))/3","B"
58,1,10,18,0.049977,"\text{Not used}","int(sin(3*x)^2,x)","\frac{x}{2}-\frac{\sin\left(6\,x\right)}{12}","Not used",1,"x/2 - sin(6*x)/12","B"
59,1,10,14,0.002017,"\text{Not used}","int(cos(x)^2,x)","\frac{x}{2}+\frac{\sin\left(2\,x\right)}{4}","Not used",1,"x/2 + sin(2*x)/4","B"
60,1,16,24,0.031168,"\text{Not used}","int(cos(x)^4,x)","\frac{3\,x}{8}+\frac{\sin\left(2\,x\right)}{4}+\frac{\sin\left(4\,x\right)}{32}","Not used",1,"(3*x)/8 + sin(2*x)/4 + sin(4*x)/32","B"
61,1,10,13,0.034155,"\text{Not used}","int(sin(x)^3,x)","\frac{\cos\left(x\right)\,\left({\cos\left(x\right)}^2-3\right)}{3}","Not used",1,"(cos(x)*(cos(x)^2 - 3))/3","B"
62,1,14,17,0.038683,"\text{Not used}","int(cos(x)^4*sin(x)^3,x)","\frac{{\cos\left(x\right)}^5\,\left(5\,{\cos\left(x\right)}^2-7\right)}{35}","Not used",1,"(cos(x)^5*(5*cos(x)^2 - 7))/35","B"
63,1,14,17,0.150632,"\text{Not used}","int(cos(x)^3*sin(x)^4,x)","-\frac{{\sin\left(x\right)}^5\,\left(5\,{\sin\left(x\right)}^2-7\right)}{35}","Not used",1,"-(sin(x)^5*(5*sin(x)^2 - 7))/35","B"
64,1,24,36,0.044011,"\text{Not used}","int(cos(x)^2*sin(x)^4,x)","\frac{\cos\left(x\right)\,{\sin\left(x\right)}^5}{6}+\frac{x}{16}-\frac{\sin\left(2\,x\right)}{24}+\frac{\sin\left(4\,x\right)}{192}","Not used",1,"x/16 - sin(2*x)/24 + sin(4*x)/192 + (cos(x)*sin(x)^5)/6","B"
65,1,18,24,0.040751,"\text{Not used}","int(cos(x)^2*sin(x)^2,x)","\frac{\cos\left(x\right)\,{\sin\left(x\right)}^3}{4}-\frac{\cos\left(x\right)\,\sin\left(x\right)}{8}+\frac{x}{8}","Not used",1,"x/8 - (cos(x)*sin(x))/8 + (cos(x)*sin(x)^3)/4","B"
66,1,14,22,0.261173,"\text{Not used}","int((sin(2*x) - 1)^2,x)","\frac{3\,x}{2}+\cos\left(2\,x\right)-\frac{\sin\left(4\,x\right)}{8}","Not used",1,"(3*x)/2 + cos(2*x) - sin(4*x)/8","B"
67,1,18,20,0.145751,"\text{Not used}","int(cos(x)*sin(Pi/6 + x),x)","\frac{x\,\sin\left(\frac{\Pi }{6}\right)}{2}-\frac{\cos\left(\frac{\Pi }{6}+2\,x\right)}{4}","Not used",1,"(x*sin(Pi/6))/2 - cos(Pi/6 + 2*x)/4","B"
68,1,19,25,0.050224,"\text{Not used}","int(cos(x)^5*sin(x)^5,x)","\frac{{\sin\left(x\right)}^{10}}{10}-\frac{{\sin\left(x\right)}^8}{4}+\frac{{\sin\left(x\right)}^6}{6}","Not used",1,"sin(x)^6/6 - sin(x)^8/4 + sin(x)^10/10","B"
69,1,22,34,0.035913,"\text{Not used}","int(sin(x)^6,x)","\frac{5\,x}{16}-\frac{15\,\sin\left(2\,x\right)}{64}+\frac{3\,\sin\left(4\,x\right)}{64}-\frac{\sin\left(6\,x\right)}{192}","Not used",1,"(5*x)/16 - (15*sin(2*x))/64 + (3*sin(4*x))/64 - sin(6*x)/192","B"
70,1,22,34,0.034633,"\text{Not used}","int(cos(x)^6,x)","\frac{5\,x}{16}+\frac{15\,\sin\left(2\,x\right)}{64}+\frac{3\,\sin\left(4\,x\right)}{64}+\frac{\sin\left(6\,x\right)}{192}","Not used",1,"(5*x)/16 + (15*sin(2*x))/64 + (3*sin(4*x))/64 + sin(6*x)/192","B"
71,1,37,46,0.070774,"\text{Not used}","int(cos(2*x)^4*sin(2*x)^2,x)","\frac{x}{16}-\frac{\cos\left(2\,x\right)\,\sin\left(2\,x\right)}{32}+\frac{{\sin\left(2\,x\right)}^3\,\left(\frac{{\cos\left(2\,x\right)}^3}{6}+\frac{\cos\left(2\,x\right)}{8}\right)}{2}","Not used",1,"x/16 - (cos(2*x)*sin(2*x))/32 + (sin(2*x)^3*(cos(2*x)/8 + cos(2*x)^3/6))/2","B"
72,1,17,21,0.037533,"\text{Not used}","int(sin(x)^5,x)","-\frac{{\cos\left(x\right)}^5}{5}+\frac{2\,{\cos\left(x\right)}^3}{3}-\cos\left(x\right)","Not used",1,"(2*cos(x)^3)/3 - cos(x) - cos(x)^5/5","B"
73,1,32,46,0.042080,"\text{Not used}","int(cos(x)^4*sin(x)^4,x)","\left(\frac{{\cos\left(x\right)}^3}{8}+\frac{\cos\left(x\right)}{16}\right)\,{\sin\left(x\right)}^5+\frac{3\,x}{128}-\frac{\sin\left(2\,x\right)}{64}+\frac{\sin\left(4\,x\right)}{512}","Not used",1,"(3*x)/128 - sin(2*x)/64 + sin(4*x)/512 + sin(x)^5*(cos(x)/16 + cos(x)^3/8)","B"
74,1,13,21,0.085647,"\text{Not used}","int(cos(x)^(1/2)*sin(x)^3,x)","{\cos\left(x\right)}^{3/2}\,\left(\frac{2\,{\cos\left(x\right)}^2}{7}-\frac{2}{3}\right)","Not used",1,"cos(x)^(3/2)*((2*cos(x)^2)/7 - 2/3)","B"
75,1,25,21,0.207030,"\text{Not used}","int(cos(x)^3*sin(x)^(1/2),x)","-\frac{{\cos\left(x\right)}^4\,{\sin\left(x\right)}^{3/2}\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{4},2;\ 3;\ {\cos\left(x\right)}^2\right)}{4\,{\left({\sin\left(x\right)}^2\right)}^{3/4}}","Not used",1,"-(cos(x)^4*sin(x)^(3/2)*hypergeom([1/4, 2], 3, cos(x)^2))/(4*(sin(x)^2)^(3/4))","B"
76,1,12,19,0.272930,"\text{Not used}","int(cos(x^(1/2))^2/x^(1/2),x)","\frac{\sin\left(2\,\sqrt{x}\right)}{2}+\sqrt{x}","Not used",1,"sin(2*x^(1/2))/2 + x^(1/2)","B"
77,1,14,19,0.177397,"\text{Not used}","int(x*sin(x^2)^3,x)","\frac{\cos\left(x^2\right)\,\left({\cos\left(x^2\right)}^2-3\right)}{6}","Not used",1,"(cos(x^2)*(cos(x^2)^2 - 3))/6","B"
78,1,16,14,0.198900,"\text{Not used}","int(cos(x)^2*tan(x)^3,x)","\frac{{\cos\left(x\right)}^2}{2}+\frac{\ln\left({\mathrm{tan}\left(x\right)}^2+1\right)}{2}","Not used",1,"log(tan(x)^2 + 1)/2 + cos(x)^2/2","B"
79,1,32,22,0.225941,"\text{Not used}","int(cot(x)^5*sin(x)^2,x)","\ln\left({\mathrm{tan}\left(x\right)}^2+1\right)-2\,\ln\left(\mathrm{tan}\left(x\right)\right)-\frac{{\mathrm{tan}\left(x\right)}^2+\frac{1}{2}}{{\mathrm{tan}\left(x\right)}^4+{\mathrm{tan}\left(x\right)}^2}","Not used",1,"log(tan(x)^2 + 1) - 2*log(tan(x)) - (tan(x)^2 + 1/2)/(tan(x)^2 + tan(x)^4)","B"
80,1,5,5,0.165511,"\text{Not used}","int(-(sin(x) - 1)/cos(x),x)","\ln\left(\sin\left(x\right)+1\right)","Not used",1,"log(sin(x) + 1)","B"
81,1,10,11,0.029169,"\text{Not used}","int(-1/(sin(x) - 1),x)","-\frac{2}{\mathrm{tan}\left(\frac{x}{2}\right)-1}","Not used",1,"-2/(tan(x/2) - 1)","B"
82,1,6,6,0.026387,"\text{Not used}","int(tan(x)^2,x)","\mathrm{tan}\left(x\right)-x","Not used",1,"tan(x) - x","B"
83,1,12,14,0.025274,"\text{Not used}","int(tan(x)^4,x)","\frac{{\mathrm{tan}\left(x\right)}^3}{3}-\mathrm{tan}\left(x\right)+x","Not used",1,"x - tan(x) + tan(x)^3/3","B"
84,1,17,11,0.028991,"\text{Not used}","int(1/cos(x)^4,x)","\frac{2\,\sin\left(x\right)\,{\cos\left(x\right)}^2+\sin\left(x\right)}{3\,{\cos\left(x\right)}^3}","Not used",1,"(sin(x) + 2*cos(x)^2*sin(x))/(3*cos(x)^3)","B"
85,1,27,19,0.037642,"\text{Not used}","int(1/cos(x)^6,x)","\frac{8\,\sin\left(x\right)\,{\cos\left(x\right)}^4+4\,\sin\left(x\right)\,{\cos\left(x\right)}^2+3\,\sin\left(x\right)}{15\,{\cos\left(x\right)}^5}","Not used",1,"(3*sin(x) + 4*cos(x)^2*sin(x) + 8*cos(x)^4*sin(x))/(15*cos(x)^5)","B"
86,1,6,8,0.028922,"\text{Not used}","int(tan(x)^4/cos(x)^2,x)","\frac{{\mathrm{tan}\left(x\right)}^5}{5}","Not used",1,"tan(x)^5/5","B"
87,1,13,17,0.171545,"\text{Not used}","int(tan(x)^2/cos(x)^4,x)","\frac{{\mathrm{tan}\left(x\right)}^5}{5}+\frac{{\mathrm{tan}\left(x\right)}^3}{3}","Not used",1,"tan(x)^3/3 + tan(x)^5/5","B"
88,1,6,8,0.289902,"\text{Not used}","int(tan(x)/cos(x)^3,x)","\frac{1}{3\,{\cos\left(x\right)}^3}","Not used",1,"1/(3*cos(x)^3)","B"
89,1,13,17,0.378873,"\text{Not used}","int(tan(x)^3/cos(x)^3,x)","\frac{1}{5\,{\cos\left(x\right)}^5}-\frac{1}{3\,{\cos\left(x\right)}^3}","Not used",1,"1/(5*cos(x)^5) - 1/(3*cos(x)^3)","B"
90,1,18,22,0.033300,"\text{Not used}","int(tan(x)^5,x)","\frac{{\mathrm{tan}\left(x\right)}^4}{4}-\frac{{\mathrm{tan}\left(x\right)}^2}{2}-\ln\left(\cos\left(x\right)\right)","Not used",1,"tan(x)^4/4 - tan(x)^2/2 - log(cos(x))","B"
91,1,18,22,0.033650,"\text{Not used}","int(tan(x)^6,x)","\frac{{\mathrm{tan}\left(x\right)}^5}{5}-\frac{{\mathrm{tan}\left(x\right)}^3}{3}+\mathrm{tan}\left(x\right)-x","Not used",1,"tan(x) - x - tan(x)^3/3 + tan(x)^5/5","B"
92,1,17,19,0.268671,"\text{Not used}","int(tan(x)^5/cos(x),x)","\frac{{\cos\left(x\right)}^4-\frac{2\,{\cos\left(x\right)}^2}{3}+\frac{1}{5}}{{\cos\left(x\right)}^5}","Not used",1,"(cos(x)^4 - (2*cos(x)^2)/3 + 1/5)/cos(x)^5","B"
93,1,19,25,0.528804,"\text{Not used}","int(tan(x)^5/cos(x)^3,x)","\frac{\frac{{\cos\left(x\right)}^4}{3}-\frac{2\,{\cos\left(x\right)}^2}{5}+\frac{1}{7}}{{\cos\left(x\right)}^7}","Not used",1,"(cos(x)^4/3 - (2*cos(x)^2)/5 + 1/7)/cos(x)^7","B"
94,1,18,8,0.173455,"\text{Not used}","int(tan(x)/cos(x)^6,x)","\frac{{\mathrm{tan}\left(x\right)}^2\,\left({\mathrm{tan}\left(x\right)}^4+3\,{\mathrm{tan}\left(x\right)}^2+3\right)}{6}","Not used",1,"(tan(x)^2*(3*tan(x)^2 + tan(x)^4 + 3))/6","B"
95,1,20,17,0.166776,"\text{Not used}","int(tan(x)^3/cos(x)^6,x)","\frac{{\mathrm{tan}\left(x\right)}^4\,\left(3\,{\mathrm{tan}\left(x\right)}^4+8\,{\mathrm{tan}\left(x\right)}^2+6\right)}{24}","Not used",1,"(tan(x)^4*(8*tan(x)^2 + 3*tan(x)^4 + 6))/24","B"
96,1,6,8,0.032456,"\text{Not used}","int(1/(cos(x)^2*cot(x)),x)","\frac{{\mathrm{tan}\left(x\right)}^2}{2}","Not used",1,"tan(x)^2/2","B"
97,1,30,16,0.257956,"\text{Not used}","int(tan(x)^2/cos(x),x)","\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^3+\mathrm{tan}\left(\frac{x}{2}\right)}{{\left({\mathrm{tan}\left(\frac{x}{2}\right)}^2-1\right)}^2}-\mathrm{atanh}\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)","Not used",1,"(tan(x/2) + tan(x/2)^3)/(tan(x/2)^2 - 1)^2 - atanh(tan(x/2))","B"
98,1,8,8,0.017573,"\text{Not used}","int(cot(x)^2,x)","-x-\mathrm{cot}\left(x\right)","Not used",1,"- x - cot(x)","B"
99,1,18,14,0.025575,"\text{Not used}","int(cot(x)^3,x)","\frac{{\sin\left(x\right)}^2-1}{2\,{\sin\left(x\right)}^2}-\ln\left(\sin\left(x\right)\right)","Not used",1,"(sin(x)^2 - 1)/(2*sin(x)^2) - log(sin(x))","B"
100,1,14,17,0.184961,"\text{Not used}","int(cot(x)^4/sin(x)^4,x)","-\frac{{\mathrm{cot}\left(x\right)}^5\,\left(5\,{\mathrm{cot}\left(x\right)}^2+7\right)}{35}","Not used",1,"-(cot(x)^5*(5*cot(x)^2 + 7))/35","B"
101,1,14,17,0.179858,"\text{Not used}","int(cot(x)^3/sin(x)^4,x)","-\frac{{\mathrm{cot}\left(x\right)}^4\,\left(2\,{\mathrm{cot}\left(x\right)}^2+3\right)}{12}","Not used",1,"-(cot(x)^4*(2*cot(x)^2 + 3))/12","B"
102,1,5,5,0.043132,"\text{Not used}","int(1/sin(x),x)","\ln\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)","Not used",1,"log(tan(x/2))","B"
103,1,16,16,0.154523,"\text{Not used}","int(1/sin(x)^3,x)","\frac{\ln\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)}{2}-\frac{\cos\left(x\right)}{2\,{\sin\left(x\right)}^2}","Not used",1,"log(tan(x/2))/2 - cos(x)/(2*sin(x)^2)","B"
104,1,8,8,0.148359,"\text{Not used}","int(cos(x)^2/sin(x),x)","\ln\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)+\cos\left(x\right)","Not used",1,"log(tan(x/2)) + cos(x)","B"
105,1,17,13,0.028123,"\text{Not used}","int(1/sin(x)^4,x)","-\frac{2\,\cos\left(x\right)\,{\sin\left(x\right)}^2+\cos\left(x\right)}{3\,{\sin\left(x\right)}^3}","Not used",1,"-(cos(x) + 2*cos(x)*sin(x)^2)/(3*sin(x)^3)","B"
106,1,13,17,0.061571,"\text{Not used}","int(sin(2*x)*sin(5*x),x)","\frac{\sin\left(3\,x\right)}{6}-\frac{\sin\left(7\,x\right)}{14}","Not used",1,"sin(3*x)/6 - sin(7*x)/14","B"
107,1,13,17,0.026331,"\text{Not used}","int(sin(3*x)*cos(x),x)","\frac{{\cos\left(x\right)}^2}{2}-{\cos\left(x\right)}^4","Not used",1,"cos(x)^2/2 - cos(x)^4","B"
108,1,11,15,0.173965,"\text{Not used}","int(cos(3*x)*cos(4*x),x)","\frac{\sin\left(7\,x\right)}{14}+\frac{\sin\left(x\right)}{2}","Not used",1,"sin(7*x)/14 + sin(x)/2","B"
109,1,13,17,0.058125,"\text{Not used}","int(sin(3*x)*sin(6*x),x)","\frac{\sin\left(3\,x\right)}{6}-\frac{\sin\left(9\,x\right)}{18}","Not used",1,"sin(3*x)/6 - sin(9*x)/18","B"
110,1,19,8,0.031073,"\text{Not used}","int(cos(x)^5*sin(x),x)","\frac{{\sin\left(x\right)}^6}{6}-\frac{{\sin\left(x\right)}^4}{2}+\frac{{\sin\left(x\right)}^2}{2}","Not used",1,"sin(x)^2/2 - sin(x)^4/2 + sin(x)^6/6","B"
111,1,22,30,0.293355,"\text{Not used}","int(cos(2*x)*cos(3*x)*cos(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}","Not used",1,"x/4 + sin(2*x)/8 + sin(4*x)/16 + sin(6*x)/24","B"
112,1,6,5,0.169815,"\text{Not used}","int(-cos(x)^2*(tan(x)^2 - 1),x)","\frac{\sin\left(2\,x\right)}{2}","Not used",1,"sin(2*x)/2","B"
113,1,24,15,0.395976,"\text{Not used}","int((cos(x) + sin(x))/sin(2*x),x)","\frac{\ln\left({\mathrm{tan}\left(\frac{x}{2}\right)}^2+\mathrm{tan}\left(\frac{x}{2}\right)\right)}{2}-\frac{\ln\left(\mathrm{tan}\left(\frac{x}{2}\right)-1\right)}{2}","Not used",1,"log(tan(x/2) + tan(x/2)^2)/2 - log(tan(x/2) - 1)/2","B"
114,1,16,14,0.141449,"\text{Not used}","int(sin(x)^2*tan(x),x)","\frac{{\cos\left(x\right)}^2}{2}+\frac{\ln\left({\mathrm{tan}\left(x\right)}^2+1\right)}{2}","Not used",1,"log(tan(x)^2 + 1)/2 + cos(x)^2/2","B"
115,1,32,22,0.149133,"\text{Not used}","int(cos(x)^2*cot(x)^3,x)","\ln\left({\mathrm{tan}\left(x\right)}^2+1\right)-2\,\ln\left(\mathrm{tan}\left(x\right)\right)-\frac{{\mathrm{tan}\left(x\right)}^2+\frac{1}{2}}{{\mathrm{tan}\left(x\right)}^4+{\mathrm{tan}\left(x\right)}^2}","Not used",1,"log(tan(x)^2 + 1) - 2*log(tan(x)) - (tan(x)^2 + 1/2)/(tan(x)^2 + tan(x)^4)","B"
116,1,6,8,0.002063,"\text{Not used}","int(tan(x)/cos(x)^3,x)","\frac{1}{3\,{\cos\left(x\right)}^3}","Not used",1,"1/(3*cos(x)^3)","B"
117,1,13,17,0.002306,"\text{Not used}","int(tan(x)^3/cos(x)^3,x)","\frac{1}{5\,{\cos\left(x\right)}^5}-\frac{1}{3\,{\cos\left(x\right)}^3}","Not used",1,"1/(5*cos(x)^5) - 1/(3*cos(x)^3)","B"
118,1,21,25,0.038696,"\text{Not used}","int((9 - x^2)^(1/2)/x^2,x)","-\mathrm{asin}\left(\frac{x}{3}\right)-\frac{\sqrt{9-x^2}}{x}","Not used",1,"- asin(x/3) - (9 - x^2)^(1/2)/x","B"
119,1,12,16,0.028114,"\text{Not used}","int(1/(x^2*(x^2 + 4)^(1/2)),x)","-\frac{\sqrt{x^2+4}}{4\,x}","Not used",1,"-(x^2 + 4)^(1/2)/(4*x)","B"
120,1,7,9,0.027990,"\text{Not used}","int(x/(x^2 + 4)^(1/2),x)","\sqrt{x^2+4}","Not used",1,"(x^2 + 4)^(1/2)","B"
121,1,14,16,0.079773,"\text{Not used}","int(1/(x^2 - a^2)^(1/2),x)","\ln\left(x+\sqrt{x^2-a^2}\right)","Not used",1,"log(x + (x^2 - a^2)^(1/2))","B"
122,1,24,31,0.047243,"\text{Not used}","int(x^3/(4*x^2 + 9)^(3/2),x)","\frac{\sqrt{x^2+\frac{9}{4}}\,\left(2\,x^2+9\right)}{4\,\left(4\,x^2+9\right)}","Not used",1,"((x^2 + 9/4)^(1/2)*(2*x^2 + 9))/(4*(4*x^2 + 9))","B"
123,1,38,27,0.221259,"\text{Not used}","int(x/(3 - x^2 - 2*x)^(1/2),x)","-\sqrt{-x^2-2\,x+3}+\ln\left(x\,1{}\mathrm{i}+\sqrt{-x^2-2\,x+3}+1{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"log(x*1i + (3 - x^2 - 2*x)^(1/2) + 1i)*1i - (3 - x^2 - 2*x)^(1/2)","B"
124,1,14,16,0.230405,"\text{Not used}","int(1/(x^2*(1 - x^2)^(1/2)),x)","-\frac{\sqrt{1-x^2}}{x}","Not used",1,"-(1 - x^2)^(1/2)/x","B"
125,1,23,31,0.036258,"\text{Not used}","int(x^3*(4 - x^2)^(1/2),x)","-\sqrt{4-x^2}\,\left(-\frac{x^4}{5}+\frac{4\,x^2}{15}+\frac{32}{15}\right)","Not used",1,"-(4 - x^2)^(1/2)*((4*x^2)/15 - x^4/5 + 32/15)","B"
126,1,11,13,0.031598,"\text{Not used}","int(x/(1 - x^2)^(1/2),x)","-\sqrt{1-x^2}","Not used",1,"-(1 - x^2)^(1/2)","B"
127,1,11,15,0.026491,"\text{Not used}","int(x*(4 - x^2)^(1/2),x)","-\frac{{\left(4-x^2\right)}^{3/2}}{3}","Not used",1,"-(4 - x^2)^(3/2)/3","B"
128,1,18,25,0.033043,"\text{Not used}","int((1 - 4*x^2)^(1/2),x)","\frac{\mathrm{asin}\left(2\,x\right)}{4}+x\,\sqrt{\frac{1}{4}-x^2}","Not used",1,"asin(2*x)/4 + x*(1/4 - x^2)^(1/2)","B"
129,1,14,25,0.022643,"\text{Not used}","int(x^3/(x^2 + 4)^(1/2),x)","\frac{\sqrt{x^2+4}\,\left(x^2-8\right)}{3}","Not used",1,"((x^2 + 4)^(1/2)*(x^2 - 8))/3","B"
130,1,4,6,0.030084,"\text{Not used}","int(1/(x^2 + 9)^(1/2),x)","\mathrm{asinh}\left(\frac{x}{3}\right)","Not used",1,"asinh(x/3)","B"
131,1,15,21,0.028563,"\text{Not used}","int((x^2 + 1)^(1/2),x)","\frac{\mathrm{asinh}\left(x\right)}{2}+\frac{x\,\sqrt{x^2+1}}{2}","Not used",1,"asinh(x)/2 + (x*(x^2 + 1)^(1/2))/2","B"
132,1,25,35,0.345820,"\text{Not used}","int(1/(x^3*(x^2 - 16)^(1/2)),x)","\frac{\mathrm{atan}\left(\frac{\sqrt{x^2-16}}{4}\right)}{128}+\frac{\sqrt{x^2-16}}{32\,x^2}","Not used",1,"atan((x^2 - 16)^(1/2)/4)/128 + (x^2 - 16)^(1/2)/(32*x^2)","B"
133,1,19,23,0.341185,"\text{Not used}","int((x^2 - a^2)^(1/2)/x^4,x)","\frac{{\left(x^2-a^2\right)}^{3/2}}{3\,a^2\,x^3}","Not used",1,"(x^2 - a^2)^(3/2)/(3*a^2*x^3)","B"
134,1,24,30,0.309621,"\text{Not used}","int((9*x^2 - 4)^(1/2)/x,x)","\sqrt{9\,x^2-4}-2\,\mathrm{atan}\left(\frac{\sqrt{9\,x^2-4}}{2}\right)","Not used",1,"(9*x^2 - 4)^(1/2) - 2*atan((9*x^2 - 4)^(1/2)/2)","B"
135,1,14,18,0.254432,"\text{Not used}","int(1/(x^2*(16*x^2 - 9)^(1/2)),x)","\frac{\sqrt{16\,x^2-9}}{9\,x}","Not used",1,"(16*x^2 - 9)^(1/2)/(9*x)","B"
136,1,34,34,0.222102,"\text{Not used}","int(x^2/(a^2 - x^2)^(3/2),x)","\frac{x}{\sqrt{a^2-x^2}}+\ln\left(\sqrt{a^2-x^2}+x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}","Not used",1,"log(x*1i + (a^2 - x^2)^(1/2))*1i + x/(a^2 - x^2)^(1/2)","B"
137,1,22,29,0.036471,"\text{Not used}","int(x^2/(5 - x^2)^(1/2),x)","\frac{5\,\mathrm{asin}\left(\frac{\sqrt{5}\,x}{5}\right)}{2}-\frac{x\,\sqrt{5-x^2}}{2}","Not used",1,"(5*asin((5^(1/2)*x)/5))/2 - (x*(5 - x^2)^(1/2))/2","B"
138,1,18,23,0.056483,"\text{Not used}","int(1/(x*(x^2 + 3)^(1/2)),x)","-\frac{\sqrt{3}\,\mathrm{atanh}\left(\frac{\sqrt{3}\,\sqrt{x^2+3}}{3}\right)}{3}","Not used",1,"-(3^(1/2)*atanh((3^(1/2)*(x^2 + 3)^(1/2))/3))/3","B"
139,1,9,13,0.161363,"\text{Not used}","int(x/(x^2 + 4)^(5/2),x)","-\frac{1}{3\,{\left(x^2+4\right)}^{3/2}}","Not used",1,"-1/(3*(x^2 + 4)^(3/2))","B"
140,1,23,31,0.166884,"\text{Not used}","int(x^3*(4 - 9*x^2)^(1/2),x)","-\frac{\sqrt{\frac{4}{9}-x^2}\,\left(-\frac{9\,x^4}{5}+\frac{4\,x^2}{15}+\frac{32}{135}\right)}{3}","Not used",1,"-((4/9 - x^2)^(1/2)*((4*x^2)/15 - (9*x^4)/5 + 32/135))/3","B"
141,1,27,45,0.036155,"\text{Not used}","int(x^2*(9 - x^2)^(1/2),x)","\frac{81\,\mathrm{asin}\left(\frac{x}{3}\right)}{8}-\sqrt{9-x^2}\,\left(\frac{9\,x}{8}-\frac{x^3}{4}\right)","Not used",1,"(81*asin(x/3))/8 - (9 - x^2)^(1/2)*((9*x)/8 - x^3/4)","B"
142,1,9,13,0.029030,"\text{Not used}","int(5*x*(x^2 + 1)^(1/2),x)","\frac{5\,{\left(x^2+1\right)}^{3/2}}{3}","Not used",1,"(5*(x^2 + 1)^(3/2))/3","B"
143,1,12,16,0.250641,"\text{Not used}","int(1/(4*x^2 - 25)^(3/2),x)","-\frac{x}{25\,\sqrt{4\,x^2-25}}","Not used",1,"-x/(25*(4*x^2 - 25)^(1/2))","B"
144,1,24,33,0.165075,"\text{Not used}","int((2*x - x^2)^(1/2),x)","\frac{\mathrm{asin}\left(x-1\right)}{2}+\left(\frac{x}{2}-\frac{1}{2}\right)\,\sqrt{2\,x-x^2}","Not used",1,"asin(x - 1)/2 + (x/2 - 1/2)*(2*x - x^2)^(1/2)","B"
145,1,14,8,0.200674,"\text{Not used}","int(1/(4*x + x^2 + 8)^(1/2),x)","\ln\left(x+\sqrt{x^2+4\,x+8}+2\right)","Not used",1,"log(x + (4*x + x^2 + 8)^(1/2) + 2)","B"
146,1,20,25,0.260011,"\text{Not used}","int(1/(6*x + 9*x^2 - 8)^(1/2),x)","\frac{\ln\left(3\,x+\sqrt{9\,x^2+6\,x-8}+1\right)}{3}","Not used",1,"log(3*x + (6*x + 9*x^2 - 8)^(1/2) + 1)/3","B"
147,0,-1,44,0.000000,"\text{Not used}","int(x^2/(4*x - x^2)^(1/2),x)","\int \frac{x^2}{\sqrt{4\,x-x^2}} \,d x","Not used",1,"int(x^2/(4*x - x^2)^(1/2), x)","F"
148,1,23,26,0.189148,"\text{Not used}","int(1/(2*x + x^2 + 2)^2,x)","\frac{\mathrm{atan}\left(x+1\right)}{2}+\frac{\frac{x}{2}+\frac{1}{2}}{x^2+2\,x+2}","Not used",1,"atan(x + 1)/2 + (x/2 + 1/2)/(2*x + x^2 + 2)","B"
149,1,29,43,0.049954,"\text{Not used}","int(1/(5 - x^2 - 4*x)^(5/2),x)","-\frac{\left(4\,x+8\right)\,\left(8\,x^2+32\,x-76\right)}{3888\,{\left(-x^2-4\,x+5\right)}^{3/2}}","Not used",1,"-((4*x + 8)*(32*x + 8*x^2 - 76))/(3888*(5 - x^2 - 4*x)^(3/2))","B"
150,1,22,33,0.209636,"\text{Not used}","int(exp(t)*(9 - exp(2*t))^(1/2),t)","\frac{9\,\mathrm{asin}\left(\frac{{\mathrm{e}}^t}{3}\right)}{2}+\frac{{\mathrm{e}}^t\,\sqrt{9-{\mathrm{e}}^{2\,t}}}{2}","Not used",1,"(9*asin(exp(t)/3))/2 + (exp(t)*(9 - exp(2*t))^(1/2))/2","B"
151,1,34,30,0.227369,"\text{Not used}","int((exp(2*t) - 9)^(1/2),t)","\left(\frac{3\,{\mathrm{e}}^{-t}\,\mathrm{asin}\left(3\,{\mathrm{e}}^{-t}\right)}{\sqrt{1-9\,{\mathrm{e}}^{-2\,t}}}+1\right)\,\sqrt{{\mathrm{e}}^{2\,t}-9}","Not used",1,"((3*exp(-t)*asin(3*exp(-t)))/(1 - 9*exp(-2*t))^(1/2) + 1)*(exp(2*t) - 9)^(1/2)","B"
152,1,12,14,0.188416,"\text{Not used}","int(1/(a^2 + x^2)^(1/2),x)","\ln\left(x+\sqrt{a^2+x^2}\right)","Not used",1,"log(x + (a^2 + x^2)^(1/2))","B"
153,1,13,15,0.176787,"\text{Not used}","int((x + 5)/(x + x^2 - 2),x)","2\,\ln\left(x-1\right)-\ln\left(x+2\right)","Not used",1,"2*log(x - 1) - log(x + 2)","B"
154,1,20,26,0.032803,"\text{Not used}","int((x + x^3)/(x - 1),x)","2\,x+2\,\ln\left(x-1\right)+\frac{x^2}{2}+\frac{x^3}{3}","Not used",1,"2*x + 2*log(x - 1) + x^2/2 + x^3/3","B"
155,1,19,25,0.185179,"\text{Not used}","int((2*x + x^2 - 1)/(3*x^2 - 2*x + 2*x^3),x)","\frac{\mathrm{atanh}\left(\frac{24}{145\,\left(\frac{29\,x}{100}-\frac{11}{50}\right)}+\frac{35}{29}\right)}{5}+\frac{\ln\left(x\right)}{2}","Not used",1,"atanh(24/(145*((29*x)/100 - 11/50)) + 35/29)/5 + log(x)/2","B"
156,1,22,30,0.049656,"\text{Not used}","int(-(4*x - 2*x^2 + x^4 + 1)/(x + x^2 - x^3 - 1),x)","x-\frac{2}{x-1}+\frac{x^2}{2}+\mathrm{atan}\left(x\,1{}\mathrm{i}\right)\,2{}\mathrm{i}","Not used",1,"x + atan(x*1i)*2i - 2/(x - 1) + x^2/2","B"
157,1,21,23,0.051773,"\text{Not used}","int((2*x^2 - x + 4)/(4*x + x^3),x)","\ln\left(x\right)+\ln\left(x-2{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{1}{4}{}\mathrm{i}\right)+\ln\left(x+2{}\mathrm{i}\right)\,\left(\frac{1}{2}-\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"log(x - 2i)*(1/2 + 1i/4) + log(x + 2i)*(1/2 - 1i/4) + log(x)","B"
158,1,30,38,0.167315,"\text{Not used}","int((4*x^2 - 3*x + 2)/(4*x^2 - 4*x + 3),x)","x+\frac{\ln\left(x^2-x+\frac{3}{4}\right)}{8}-\frac{\sqrt{2}\,\mathrm{atan}\left(\sqrt{2}\,x-\frac{\sqrt{2}}{2}\right)}{8}","Not used",1,"x + log(x^2 - x + 3/4)/8 - (2^(1/2)*atan(2^(1/2)*x - 2^(1/2)/2))/8","B"
159,1,96,103,0.262418,"\text{Not used}","int((x^2 + x^3 + 1)/(x*(x^2 + 1)^3*(x - 1)*(x + x^2 + 1)),x)","\frac{\ln\left(x-1\right)}{8}-\ln\left(x\right)+\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\frac{\frac{9\,x^3}{16}-\frac{3\,x^2}{8}+\frac{11\,x}{16}-\frac{1}{4}}{x^4+2\,x^2+1}+\ln\left(x-\mathrm{i}\right)\,\left(\frac{15}{16}-\frac{7}{32}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(\frac{15}{16}+\frac{7}{32}{}\mathrm{i}\right)","Not used",1,"log(x - 1)/8 + log(x - 1i)*(15/16 - 7i/32) + log(x + 1i)*(15/16 + 7i/32) - log(x) + log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/6 - 1/2) - log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/6 + 1/2) + ((11*x)/16 - (3*x^2)/8 + (9*x^3)/16 - 1/4)/(2*x^2 + x^4 + 1)","B"
160,1,33,33,0.160854,"\text{Not used}","int(-(3*x - 2*x^2 + x^3 - 1)/(x*(x^2 + 1)^2),x)","\ln\left(x\right)-\frac{x+\frac{1}{2}}{x^2+1}+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{2}+1{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{2}-\mathrm{i}\right)","Not used",1,"log(x) - log(x + 1i)*(1/2 + 1i) - log(x - 1i)*(1/2 - 1i) - (x + 1/2)/(x^2 + 1)","B"
161,1,16,19,0.023887,"\text{Not used}","int(1/(x^2 + 1)^2,x)","\frac{\mathrm{atan}\left(x\right)}{2}+\frac{x}{2\,\left(x^2+1\right)}","Not used",1,"atan(x)/2 + x/(2*(x^2 + 1))","B"
162,1,12,19,0.098166,"\text{Not used}","int(1/((x - 1)*(x + 2)),x)","\frac{\ln\left(\frac{x-1}{x+2}\right)}{3}","Not used",1,"log((x - 1)/(x + 2))/3","B"
163,1,8,19,0.121949,"\text{Not used}","int(7/(5*x + 2*x^2 - 12),x)","-\frac{14\,\mathrm{atanh}\left(\frac{4\,x}{11}+\frac{5}{11}\right)}{11}","Not used",1,"-(14*atanh((4*x)/11 + 5/11))/11","B"
164,1,22,32,0.100117,"\text{Not used}","int((3*x + x^2 - 4)/((2*x - 1)^2*(2*x + 3)),x)","\frac{41\,\ln\left(x-\frac{1}{2}\right)}{128}-\frac{25\,\ln\left(x+\frac{3}{2}\right)}{128}+\frac{9}{64\,\left(x-\frac{1}{2}\right)}","Not used",1,"(41*log(x - 1/2))/128 - (25*log(x + 3/2))/128 + 9/(64*(x - 1/2))","B"
165,1,29,43,0.229996,"\text{Not used}","int(-(x^2 - x^3)/((5*x + 3)^3*(x - 6)),x)","\frac{20\,\ln\left(x-6\right)}{3993}+\frac{1493\,\ln\left(x+\frac{3}{5}\right)}{499125}+\frac{\frac{201\,x}{75625}+\frac{471}{378125}}{x^2+\frac{6\,x}{5}+\frac{9}{25}}","Not used",1,"(20*log(x - 6))/3993 + (1493*log(x + 3/5))/499125 + ((201*x)/75625 + 471/378125)/((6*x)/5 + x^2 + 9/25)","B"
166,1,16,21,0.039523,"\text{Not used}","int(-1/(x^3 - x^4),x)","\frac{x+\frac{1}{2}}{x^2}-2\,\mathrm{atanh}\left(2\,x-1\right)","Not used",1,"(x + 1/2)/x^2 - 2*atanh(2*x - 1)","B"
167,1,19,25,0.167784,"\text{Not used}","int(-(x^3 - x^2 - x + x^4 + 1)/(x - x^3),x)","x+\frac{\ln\left(x^2-1\right)}{2}-\ln\left(x\right)+\frac{x^2}{2}","Not used",1,"x + log(x^2 - 1)/2 - log(x) + x^2/2","B"
168,1,11,11,0.175400,"\text{Not used}","int((x^2 - 2)/(x*(x^2 + 2)),x)","\ln\left(x^2+2\right)-\ln\left(x\right)","Not used",1,"log(x^2 + 2) - log(x)","B"
169,1,56,36,0.108267,"\text{Not used}","int((x^3 - 4*x^2 + 2)/((x^2 + 1)*(x^2 + 2)),x)","\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{2}-3{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+3{}\mathrm{i}\right)+\ln\left(x-\sqrt{2}\,1{}\mathrm{i}\right)\,\left(1+\frac{\sqrt{2}\,5{}\mathrm{i}}{2}\right)-\ln\left(x+\sqrt{2}\,1{}\mathrm{i}\right)\,\left(-1+\frac{\sqrt{2}\,5{}\mathrm{i}}{2}\right)","Not used",1,"log(x - 2^(1/2)*1i)*((2^(1/2)*5i)/2 + 1) - log(x + 1i)*(1/2 - 3i) - log(x - 1i)*(1/2 + 3i) - log(x + 2^(1/2)*1i)*((2^(1/2)*5i)/2 - 1)","B"
170,1,23,29,0.167695,"\text{Not used}","int((x^2 + x^4 + 1)/((x^2 + 1)*(x^2 + 4)^2),x)","\frac{25\,\mathrm{atan}\left(\frac{x}{2}\right)}{144}+\frac{\mathrm{atan}\left(x\right)}{9}-\frac{13\,x}{24\,\left(x^2+4\right)}","Not used",1,"(25*atan(x/2))/144 + atan(x)/9 - (13*x)/(24*(x^2 + 4))","B"
171,1,61,60,0.123850,"\text{Not used}","int((16*x + 1)/((2*x - 3)*(x + 5)^2*(x + x^2 + 1)),x)","\frac{200\,\ln\left(x-\frac{3}{2}\right)}{3211}+\frac{2731\,\ln\left(x+5\right)}{24843}-\frac{79}{273\,\left(x+5\right)}-\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{481}{5586}+\frac{\sqrt{3}\,451{}\mathrm{i}}{16758}\right)+\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{481}{5586}+\frac{\sqrt{3}\,451{}\mathrm{i}}{16758}\right)","Not used",1,"(200*log(x - 3/2))/3211 + (2731*log(x + 5))/24843 - 79/(273*(x + 5)) - log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*451i)/16758 + 481/5586) + log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*451i)/16758 - 481/5586)","B"
172,1,30,37,0.155837,"\text{Not used}","int(x^4/(x^2 + 9)^3,x)","\frac{\mathrm{atan}\left(\frac{x}{3}\right)}{8}-\frac{\frac{5\,x^3}{8}+\frac{27\,x}{8}}{x^4+18\,x^2+81}","Not used",1,"atan(x/3)/8 - ((27*x)/8 + (5*x^3)/8)/(18*x^2 + x^4 + 81)","B"
173,1,84,97,0.241407,"\text{Not used}","int((19*x)/((x - 1)^3*(5*x + 4*x^2 + 3)^2),x)","\frac{209\,\ln\left(x-1\right)}{2304}+\frac{-\frac{1843\,x^3}{4416}+\frac{7733\,x^2}{17664}+\frac{95\,x}{736}+\frac{285}{5888}}{-x^4+\frac{3\,x^3}{4}+\frac{3\,x^2}{4}+\frac{x}{4}-\frac{3}{4}}-\ln\left(x+\frac{5}{8}-\frac{\sqrt{23}\,1{}\mathrm{i}}{8}\right)\,\left(\frac{209}{4608}+\frac{\sqrt{23}\,114437{}\mathrm{i}}{2437632}\right)+\ln\left(x+\frac{5}{8}+\frac{\sqrt{23}\,1{}\mathrm{i}}{8}\right)\,\left(-\frac{209}{4608}+\frac{\sqrt{23}\,114437{}\mathrm{i}}{2437632}\right)","Not used",1,"(209*log(x - 1))/2304 + ((95*x)/736 + (7733*x^2)/17664 - (1843*x^3)/4416 + 285/5888)/(x/4 + (3*x^2)/4 + (3*x^3)/4 - x^4 - 3/4) - log(x - (23^(1/2)*1i)/8 + 5/8)*((23^(1/2)*114437i)/2437632 + 209/4608) + log(x + (23^(1/2)*1i)/8 + 5/8)*((23^(1/2)*114437i)/2437632 - 209/4608)","B"
174,1,49,46,0.236604,"\text{Not used}","int((x^2 + x^3 + 1)/(2*x^2 + x^3 + x^4),x)","-\frac{\ln\left(x\right)}{4}-\ln\left(x+\frac{1}{2}-\frac{\sqrt{7}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{56}\right)+\ln\left(x+\frac{1}{2}+\frac{\sqrt{7}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{5}{8}+\frac{\sqrt{7}\,1{}\mathrm{i}}{56}\right)-\frac{1}{2\,x}","Not used",1,"log(x + (7^(1/2)*1i)/2 + 1/2)*((7^(1/2)*1i)/56 + 5/8) - log(x - (7^(1/2)*1i)/2 + 1/2)*((7^(1/2)*1i)/56 - 5/8) - log(x)/4 - 1/(2*x)","B"
175,1,51,48,0.109263,"\text{Not used}","int(-1/(x^3 - x^6),x)","\frac{\ln\left(x-1\right)}{3}+\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)+\frac{1}{2\,x^2}","Not used",1,"log(x - 1)/3 + log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/6 - 1/6) - log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/6 + 1/6) + 1/(2*x^2)","B"
176,1,13,15,0.024835,"\text{Not used}","int(x^2/(x + 1),x)","\ln\left(x+1\right)-x+\frac{x^2}{2}","Not used",1,"log(x + 1) - x + x^2/2","B"
177,1,8,10,0.028346,"\text{Not used}","int(x/(x - 5),x)","x+5\,\ln\left(x-5\right)","Not used",1,"x + 5*log(x - 5)","B"
178,1,11,13,0.168462,"\text{Not used}","int((4*x - 1)/((x - 1)*(x + 2)),x)","\ln\left(x-1\right)+3\,\ln\left(x+2\right)","Not used",1,"log(x - 1) + 3*log(x + 2)","B"
179,1,10,11,0.067963,"\text{Not used}","int(1/((x + 1)*(x + 2)),x)","\ln\left(1-\frac{1}{x+2}\right)","Not used",1,"log(1 - 1/(x + 2))","B"
180,1,10,12,0.157611,"\text{Not used}","int((6*x - 5)/(2*x + 3),x)","3\,x-7\,\ln\left(x+\frac{3}{2}\right)","Not used",1,"3*x - 7*log(x + 3/2)","B"
181,1,18,26,0.219267,"\text{Not used}","int(1/((a + x)*(b + x)),x)","\frac{\ln\left(\frac{b+x}{a+x}\right)}{a-b}","Not used",1,"log((b + x)/(a + x))/(a - b)","B"
182,1,12,14,0.044395,"\text{Not used}","int(-(x^2 + 1)/(x - x^2),x)","x+2\,\ln\left(x-1\right)-\ln\left(x\right)","Not used",1,"x + 2*log(x - 1) - log(x)","B"
183,1,14,26,0.041058,"\text{Not used}","int((x^2 - 12*x + x^3 + 1)/(x + x^2 - 12),x)","\frac{x^2}{2}-\frac{2\,\mathrm{atanh}\left(\frac{2\,x}{7}+\frac{1}{7}\right)}{7}","Not used",1,"x^2/2 - (2*atanh((2*x)/7 + 1/7))/7","B"
184,1,14,14,0.029718,"\text{Not used}","int((2*x + 3)/(x + 1)^2,x)","2\,\ln\left(x+1\right)-\frac{1}{x+1}","Not used",1,"2*log(x + 1) - 1/(x + 1)","B"
185,1,17,23,0.083441,"\text{Not used}","int(1/(x*(2*x + 3)*(x + 1)),x)","\frac{2\,\ln\left(x+\frac{3}{2}\right)}{3}-\ln\left(x+1\right)+\frac{\ln\left(x\right)}{3}","Not used",1,"(2*log(x + 3/2))/3 - log(x + 1) + log(x)/3","B"
186,1,15,17,0.066416,"\text{Not used}","int((5*x + 6*x^2 - 3)/(2*x^2 - 3*x + x^3),x)","2\,\ln\left(x-1\right)+3\,\ln\left(x+3\right)+\ln\left(x\right)","Not used",1,"2*log(x - 1) + 3*log(x + 3) + log(x)","B"
187,1,12,12,0.033502,"\text{Not used}","int(x/(4*x + x^2 + 4),x)","\ln\left(x+2\right)+\frac{2}{x+2}","Not used",1,"log(x + 2) + 2/(x + 2)","B"
188,1,22,30,0.060721,"\text{Not used}","int(1/((x - 1)^2*(x + 4)),x)","-\frac{\ln\left(\frac{x-1}{x+4}\right)}{25}-\frac{1}{5\,\left(x-1\right)}","Not used",1,"- log((x - 1)/(x + 4))/25 - 1/(5*(x - 1))","B"
189,1,22,28,0.212494,"\text{Not used}","int(x^2/((x + 2)^2*(x - 3)),x)","\frac{16\,\ln\left(x+2\right)}{25}+\frac{9\,\ln\left(x-3\right)}{25}+\frac{4}{5\,\left(x+2\right)}","Not used",1,"(16*log(x + 2))/25 + (9*log(x - 3))/25 + 4/(5*(x + 2))","B"
190,1,14,14,0.041631,"\text{Not used}","int((3*x + 5*x^2 - 2)/(2*x^2 + x^3),x)","3\,\ln\left(x+2\right)+2\,\ln\left(x\right)+\frac{1}{x}","Not used",1,"3*log(x + 2) + 2*log(x) + 1/x","B"
191,1,17,19,0.180772,"\text{Not used}","int(-(2*x + 4*x^2 - 18)/(x + 4*x^2 + x^3 - 6),x)","\ln\left(x-1\right)-2\,\ln\left(x+2\right)-3\,\ln\left(x+3\right)","Not used",1,"log(x - 1) - 2*log(x + 2) - 3*log(x + 3)","B"
192,1,13,15,0.051492,"\text{Not used}","int((2*x + x^2)/(3*x^2 + x^3 + 4),x)","\frac{\ln\left(x^3+3\,x^2+4\right)}{3}","Not used",1,"log(3*x^2 + x^3 + 4)/3","B"
193,1,27,25,0.050289,"\text{Not used}","int(1/(x^2*(x - 1)^2),x)","\frac{1}{x\,\left(x-1\right)}-\frac{2}{x-1}-2\,\ln\left(\frac{x-1}{x}\right)","Not used",1,"1/(x*(x - 1)) - 2/(x - 1) - 2*log((x - 1)/x)","B"
194,1,21,21,0.025716,"\text{Not used}","int(x^2/(x + 1)^3,x)","\ln\left(x+1\right)+\frac{2\,x+\frac{3}{2}}{x^2+2\,x+1}","Not used",1,"log(x + 1) + (2*x + 3/2)/(2*x + x^2 + 1)","B"
195,1,8,8,0.166705,"\text{Not used}","int(-1/(x^2 - x^4),x)","\frac{1}{x}-\mathrm{atanh}\left(x\right)","Not used",1,"1/x - atanh(x)","B"
196,1,13,15,0.039866,"\text{Not used}","int(-(x - 2*x^3)/(x^4 - x^2 + 1),x)","\frac{\ln\left(x^4-x^2+1\right)}{2}","Not used",1,"log(x^4 - x^2 + 1)/2","B"
197,1,14,18,0.024922,"\text{Not used}","int(x^3/(x^2 + 1),x)","\frac{x^2}{2}-\frac{\ln\left(x^2+1\right)}{2}","Not used",1,"x^2/2 - log(x^2 + 1)/2","B"
198,1,18,20,0.160471,"\text{Not used}","int((x - 1)/(2*x + x^2 + 2),x)","\frac{\ln\left(x^2+2\,x+2\right)}{2}-2\,\mathrm{atan}\left(x+1\right)","Not used",1,"log(2*x + x^2 + 2)/2 - 2*atan(x + 1)","B"
199,1,28,31,0.159518,"\text{Not used}","int(x/(x + x^2 + 1),x)","\frac{\ln\left(x^2+x+1\right)}{2}-\frac{\sqrt{3}\,\mathrm{atan}\left(\frac{2\,\sqrt{3}\,x}{3}+\frac{\sqrt{3}}{3}\right)}{3}","Not used",1,"log(x + x^2 + 1)/2 - (3^(1/2)*atan((2*3^(1/2)*x)/3 + 3^(1/2)/3))/3","B"
200,1,17,27,0.042459,"\text{Not used}","int((5*x + 4*x^2 + 7)/(4*x + 4*x^2 + 5),x)","x+\frac{\ln\left(x^2+x+\frac{5}{4}\right)}{8}+\frac{3\,\mathrm{atan}\left(x+\frac{1}{2}\right)}{8}","Not used",1,"x + log(x + x^2 + 5/4)/8 + (3*atan(x + 1/2))/8","B"
201,1,25,23,0.054347,"\text{Not used}","int((3*x^2 - 4*x + 5)/((x^2 + 1)*(x - 1)),x)","2\,\ln\left(x-1\right)+\ln\left(x-\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{3}{2}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(\frac{1}{2}-\frac{3}{2}{}\mathrm{i}\right)","Not used",1,"2*log(x - 1) + log(x - 1i)*(1/2 + 3i/2) + log(x + 1i)*(1/2 - 3i/2)","B"
202,1,55,28,0.300368,"\text{Not used}","int((2*x + 3)/(3*x + x^3),x)","\ln\left(x\right)-\frac{\ln\left(x+\sqrt{3}\,1{}\mathrm{i}\right)}{2}-\frac{\ln\left(x-\sqrt{3}\,1{}\mathrm{i}\right)}{2}-\frac{\sqrt{3}\,\ln\left(x-\sqrt{3}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}+\frac{\sqrt{3}\,\ln\left(x+\sqrt{3}\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{3}","Not used",1,"log(x) - log(x + 3^(1/2)*1i)/2 - log(x - 3^(1/2)*1i)/2 - (3^(1/2)*log(x - 3^(1/2)*1i)*1i)/3 + (3^(1/2)*log(x + 3^(1/2)*1i)*1i)/3","B"
203,1,46,41,0.063238,"\text{Not used}","int(1/(x^3 - 1),x)","\frac{\ln\left(x-1\right)}{3}+\ln\left(x+\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left(x+\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"log(x - 1)/3 + log(x - (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/6 - 1/6) - log(x + (3^(1/2)*1i)/2 + 1/2)*((3^(1/2)*1i)/6 + 1/6)","B"
204,1,47,41,0.229287,"\text{Not used}","int(x^3/(x^3 + 1),x)","x-\frac{\ln\left(x+1\right)}{3}+\ln\left(x-\frac{1}{2}-\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)-\ln\left(x-\frac{1}{2}+\frac{\sqrt{3}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{1}{6}+\frac{\sqrt{3}\,1{}\mathrm{i}}{6}\right)","Not used",1,"x - log(x + 1)/3 + log(x - (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/6 + 1/6) - log(x + (3^(1/2)*1i)/2 - 1/2)*((3^(1/2)*1i)/6 - 1/6)","B"
205,1,28,24,0.044155,"\text{Not used}","int(-(2*x - x^2 + 1)/((x^2 + 1)*(x - 1)^2),x)","\ln\left(x-1\right)+\frac{1}{x-1}+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{2}-\frac{1}{2}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{2}+\frac{1}{2}{}\mathrm{i}\right)","Not used",1,"log(x - 1) - log(x - 1i)*(1/2 + 1i/2) - log(x + 1i)*(1/2 - 1i/2) + 1/(x - 1)","B"
206,1,10,14,0.055924,"\text{Not used}","int(x^4/(x^4 - 1),x)","x-\frac{\mathrm{atan}\left(x\right)}{2}-\frac{\mathrm{atanh}\left(x\right)}{2}","Not used",1,"x - atan(x)/2 - atanh(x)/2","B"
207,1,51,29,0.074897,"\text{Not used}","int((6*x - x^2 + 3*x^3 - 4)/((x^2 + 1)*(x^2 + 2)),x)","-\sqrt{2}\,\mathrm{atan}\left(\frac{24\,\sqrt{2}}{24\,x-64}+\frac{32\,\sqrt{2}\,x}{24\,x-64}\right)+\ln\left(x-\mathrm{i}\right)\,\left(\frac{3}{2}+\frac{3}{2}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(\frac{3}{2}-\frac{3}{2}{}\mathrm{i}\right)","Not used",1,"log(x - 1i)*(3/2 + 3i/2) + log(x + 1i)*(3/2 - 3i/2) - 2^(1/2)*atan((24*2^(1/2))/(24*x - 64) + (32*2^(1/2)*x)/(24*x - 64))","B"
208,1,33,23,0.186391,"\text{Not used}","int((x - 2*x^2 + x^3 + 1)/(5*x^2 + x^4 + 4),x)","-\mathrm{atan}\left(\frac{1305}{4\,\left(144\,x-162\right)}+\frac{9}{8}\right)+\ln\left(x-2{}\mathrm{i}\right)\,\left(\frac{1}{2}+\frac{3}{4}{}\mathrm{i}\right)+\ln\left(x+2{}\mathrm{i}\right)\,\left(\frac{1}{2}-\frac{3}{4}{}\mathrm{i}\right)","Not used",1,"log(x - 2i)*(1/2 + 3i/4) + log(x + 2i)*(1/2 - 3i/4) - atan(1305/(4*(144*x - 162)) + 9/8)","B"
209,1,36,39,0.040900,"\text{Not used}","int((x - 3)/(2*x + x^2 + 4)^2,x)","-\frac{\frac{2\,x}{3}+\frac{7}{6}}{x^2+2\,x+4}-\frac{2\,\sqrt{3}\,\mathrm{atan}\left(\frac{\sqrt{3}\,x}{3}+\frac{\sqrt{3}}{3}\right)}{9}","Not used",1,"- ((2*x)/3 + 7/6)/(2*x + x^2 + 4) - (2*3^(1/2)*atan((3^(1/2)*x)/3 + 3^(1/2)/3))/9","B"
210,1,10,10,0.155233,"\text{Not used}","int((x^4 + 1)/(x*(x^2 + 1)^2),x)","\ln\left(x\right)+\frac{1}{x^2+1}","Not used",1,"log(x) + 1/(x^2 + 1)","B"
211,1,11,11,0.087054,"\text{Not used}","int((cos(x)*(2*sin(x) - 3))/(sin(x)^2 - 3*sin(x) + 2),x)","\ln\left({\sin\left(x\right)}^2-3\,\sin\left(x\right)+2\right)","Not used",1,"log(sin(x)^2 - 3*sin(x) + 2)","B"
212,1,17,20,0.059669,"\text{Not used}","int((cos(x)^2*sin(x))/(cos(x)^2 + 5),x)","\sqrt{5}\,\mathrm{atan}\left(\frac{\sqrt{5}\,\cos\left(x\right)}{5}\right)-\cos\left(x\right)","Not used",1,"5^(1/2)*atan((5^(1/2)*cos(x))/5) - cos(x)","B"
213,1,8,19,0.075562,"\text{Not used}","int(1/(2*x + x^2 - 3),x)","-\frac{\mathrm{atanh}\left(\frac{x}{2}+\frac{1}{2}\right)}{2}","Not used",1,"-atanh(x/2 + 1/2)/2","B"
214,1,6,17,0.097396,"\text{Not used}","int(-1/(2*x - x^2),x)","-\mathrm{atanh}\left(x-1\right)","Not used",1,"-atanh(x - 1)","B"
215,1,13,21,0.204567,"\text{Not used}","int((2*x + 1)/(12*x + 4*x^2 - 7),x)","\frac{\ln\left(x-\frac{1}{2}\right)}{8}+\frac{3\,\ln\left(x+\frac{7}{2}\right)}{8}","Not used",1,"log(x - 1/2)/8 + (3*log(x + 7/2))/8","B"
216,1,36,49,0.176887,"\text{Not used}","int(x/(x + x^2 - 1),x)","\ln\left(x+\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{10}+\frac{1}{2}\right)-\ln\left(x-\frac{\sqrt{5}}{2}+\frac{1}{2}\right)\,\left(\frac{\sqrt{5}}{10}-\frac{1}{2}\right)","Not used",1,"log(x + 5^(1/2)/2 + 1/2)*(5^(1/2)/10 + 1/2) - log(x - 5^(1/2)/2 + 1/2)*(5^(1/2)/10 - 1/2)","B"
217,1,58,63,0.280076,"\text{Not used}","int(-(5*x - 27*x^2 + 4*x^3 - 32)/(299*x + 286*x^2 - 50*x^3 + 13*x^4 - 30*x^5 + 70),x)","\frac{4822\,\ln\left(x+\frac{2}{5}\right)}{4879}-\frac{334\,\ln\left(x+\frac{1}{2}\right)}{323}-\frac{3146\,\ln\left(x-\frac{7}{3}\right)}{80155}-\ln\left(x+\frac{1}{2}-\frac{\sqrt{19}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{11049}{260015}+\frac{\sqrt{19}\,1994{}\mathrm{i}}{260015}\right)+\ln\left(x+\frac{1}{2}+\frac{\sqrt{19}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{11049}{260015}+\frac{\sqrt{19}\,1994{}\mathrm{i}}{260015}\right)","Not used",1,"(4822*log(x + 2/5))/4879 - (334*log(x + 1/2))/323 - (3146*log(x - 7/3))/80155 - log(x - (19^(1/2)*1i)/2 + 1/2)*((19^(1/2)*1994i)/260015 - 11049/260015) + log(x + (19^(1/2)*1i)/2 + 1/2)*((19^(1/2)*1994i)/260015 + 11049/260015)","B"
218,1,71,86,0.128029,"\text{Not used}","int(-(13*x^2 + 7*x^3 - 12*x^5 - 8)/(41*x^2 - 20*x - 80*x^3 + 116*x^4 - 80*x^5 + 100*x^6 + 4),x)","-\frac{59096\,\ln\left(x-\frac{2}{5}\right)}{99825}-\frac{\frac{18229\,x^2}{60500}+\frac{17\,x}{440}+\frac{1277}{60500}}{x^3-\frac{2\,x^2}{5}+\frac{x}{2}-\frac{1}{5}}-\ln\left(x-\frac{\sqrt{2}\,1{}\mathrm{i}}{2}\right)\,\left(-\frac{2843}{7986}+\frac{\sqrt{2}\,503{}\mathrm{i}}{31944}\right)+\ln\left(x+\frac{\sqrt{2}\,1{}\mathrm{i}}{2}\right)\,\left(\frac{2843}{7986}+\frac{\sqrt{2}\,503{}\mathrm{i}}{31944}\right)","Not used",1,"log(x + (2^(1/2)*1i)/2)*((2^(1/2)*503i)/31944 + 2843/7986) - ((17*x)/440 + (18229*x^2)/60500 + 1277/60500)/(x/2 - (2*x^2)/5 + x^3 - 1/5) - log(x - (2^(1/2)*1i)/2)*((2^(1/2)*503i)/31944 - 2843/7986) - (59096*log(x - 2/5))/99825","B"
219,1,18,24,0.036317,"\text{Not used}","int((x + 4)^(1/2)/x,x)","2\,\sqrt{x+4}-4\,\mathrm{atanh}\left(\frac{\sqrt{x+4}}{2}\right)","Not used",1,"2*(x + 4)^(1/2) - 4*atanh((x + 4)^(1/2)/2)","B"
220,1,223,200,0.239969,"\text{Not used}","int(1/(x^(1/2) - 1/x^(1/3)),x)","\frac{6\,\ln\left(1296\,x^{1/6}-1296\right)}{5}-\ln\left(-750\,x^{1/6}\,{\left(\frac{3\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{10}-\frac{3\,\sqrt{5}}{10}+\frac{3}{10}\right)}^3-1296\right)\,\left(\frac{3\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{10}-\frac{3\,\sqrt{5}}{10}+\frac{3}{10}\right)+\ln\left(750\,x^{1/6}\,{\left(\frac{3\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{10}+\frac{3\,\sqrt{5}}{10}-\frac{3}{10}\right)}^3-1296\right)\,\left(\frac{3\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{10}+\frac{3\,\sqrt{5}}{10}-\frac{3}{10}\right)-\ln\left(-750\,x^{1/6}\,{\left(\frac{3\,\sqrt{5}}{10}-\frac{3\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{10}+\frac{3}{10}\right)}^3-1296\right)\,\left(\frac{3\,\sqrt{5}}{10}-\frac{3\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{10}+\frac{3}{10}\right)-\ln\left(-750\,x^{1/6}\,{\left(\frac{3\,\sqrt{5}}{10}+\frac{3\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{10}+\frac{3}{10}\right)}^3-1296\right)\,\left(\frac{3\,\sqrt{5}}{10}+\frac{3\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{10}+\frac{3}{10}\right)+2\,\sqrt{x}","Not used",1,"(6*log(1296*x^(1/6) - 1296))/5 - log(- 750*x^(1/6)*((3*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/10 - (3*5^(1/2))/10 + 3/10)^3 - 1296)*((3*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/10 - (3*5^(1/2))/10 + 3/10) + log(750*x^(1/6)*((3*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/10 + (3*5^(1/2))/10 - 3/10)^3 - 1296)*((3*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/10 + (3*5^(1/2))/10 - 3/10) - log(- 750*x^(1/6)*((3*5^(1/2))/10 - (3*2^(1/2)*(5^(1/2) - 5)^(1/2))/10 + 3/10)^3 - 1296)*((3*5^(1/2))/10 - (3*2^(1/2)*(5^(1/2) - 5)^(1/2))/10 + 3/10) - log(- 750*x^(1/6)*((3*5^(1/2))/10 + (3*2^(1/2)*(5^(1/2) - 5)^(1/2))/10 + 3/10)^3 - 1296)*((3*5^(1/2))/10 + (3*2^(1/2)*(5^(1/2) - 5)^(1/2))/10 + 3/10) + 2*x^(1/2)","B"
221,1,11,18,0.487853,"\text{Not used}","int(-1/(4*cos(x) - 3*sin(x)),x)","-\frac{2\,\mathrm{atanh}\left(\frac{4\,\mathrm{tan}\left(\frac{x}{2}\right)}{5}+\frac{3}{5}\right)}{5}","Not used",1,"-(2*atanh((4*tan(x/2))/5 + 3/5))/5","B"
222,1,14,18,0.056087,"\text{Not used}","int(1/(x^(1/2) + 1),x)","2\,\sqrt{x}-2\,\ln\left(\sqrt{x}+1\right)","Not used",1,"2*x^(1/2) - 2*log(x^(1/2) + 1)","B"
223,1,20,32,0.026955,"\text{Not used}","int(1/(1/x^(1/3) + 1),x)","x-3\,\ln\left(x^{1/3}+1\right)+3\,x^{1/3}-\frac{3\,x^{2/3}}{2}","Not used",1,"x - 3*log(x^(1/3) + 1) + 3*x^(1/3) - (3*x^(2/3))/2","B"
224,1,12,16,0.030939,"\text{Not used}","int(x^(1/2)/(x + 1),x)","2\,\sqrt{x}-2\,\mathrm{atan}\left(\sqrt{x}\right)","Not used",1,"2*x^(1/2) - 2*atan(x^(1/2))","B"
225,1,8,10,0.159075,"\text{Not used}","int(1/(x*(x + 1)^(1/2)),x)","-2\,\mathrm{atanh}\left(\sqrt{x+1}\right)","Not used",1,"-2*atanh((x + 1)^(1/2))","B"
226,1,8,14,0.150065,"\text{Not used}","int(1/(x - x^(1/3)),x)","\frac{3\,\ln\left(x^{2/3}-1\right)}{2}","Not used",1,"(3*log(x^(2/3) - 1))/2","B"
227,1,25,31,0.192341,"\text{Not used}","int(1/(x - (x + 2)^(1/2)),x)","\frac{2\,\ln\left(\frac{2\,\sqrt{x+2}}{3}+\frac{2}{3}\right)}{3}+\frac{4\,\ln\left(\frac{4}{3}-\frac{2\,\sqrt{x+2}}{3}\right)}{3}","Not used",1,"(2*log((2*(x + 2)^(1/2))/3 + 2/3))/3 + (4*log(4/3 - (2*(x + 2)^(1/2))/3))/3","B"
228,1,19,32,0.033084,"\text{Not used}","int(x^2/(x - 1)^(1/2),x)","\frac{2\,\sqrt{x-1}\,\left(10\,x+3\,{\left(x-1\right)}^2+5\right)}{15}","Not used",1,"(2*(x - 1)^(1/2)*(10*x + 3*(x - 1)^2 + 5))/15","B"
229,1,24,31,0.159260,"\text{Not used}","int((x - 1)^(1/2)/(x + 1),x)","2\,\sqrt{x-1}-2\,\sqrt{2}\,\mathrm{atan}\left(\frac{\sqrt{2}\,\sqrt{x-1}}{2}\right)","Not used",1,"2*(x - 1)^(1/2) - 2*2^(1/2)*atan((2^(1/2)*(x - 1)^(1/2))/2)","B"
230,1,12,29,0.235876,"\text{Not used}","int(1/(x^(1/2) + 1)^(1/2),x)","x\,{{}}_2{\mathrm{F}}_1\left(\frac{1}{2},2;\ 3;\ -\sqrt{x}\right)","Not used",1,"x*hypergeom([1/2, 2], 3, -x^(1/2))","B"
231,1,6,8,0.243311,"\text{Not used}","int(x^(1/2)/(x + x^2),x)","2\,\mathrm{atan}\left(\sqrt{x}\right)","Not used",1,"2*atan(x^(1/2))","B"
232,1,15,21,0.171689,"\text{Not used}","int((x^(1/2) + 1)/(x^(1/2) - 1),x)","x+4\,\ln\left(\sqrt{x}-1\right)+4\,\sqrt{x}","Not used",1,"x + 4*log(x^(1/2) - 1) + 4*x^(1/2)","B"
233,1,22,30,0.038559,"\text{Not used}","int((1/x^(1/3) + 1)/(1/x^(1/3) - 1),x)","-x-6\,\ln\left(x^{1/3}-1\right)-6\,x^{1/3}-3\,x^{2/3}","Not used",1,"- x - 6*log(x^(1/3) - 1) - 6*x^(1/3) - 3*x^(2/3)","B"
234,1,16,27,0.262425,"\text{Not used}","int(x^3/(x^2 + 1)^(1/3),x)","\frac{3\,{\left(x^2+1\right)}^{2/3}\,\left(2\,x^2-3\right)}{20}","Not used",1,"(3*(x^2 + 1)^(2/3)*(2*x^2 - 3))/20","B"
235,1,208,201,0.061832,"\text{Not used}","int(x^(1/2)/(x^(1/2) - 1/x^(1/3)),x)","x+\frac{6\,\ln\left(1296\,x^{1/6}-1296\right)}{5}-\ln\left(270\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}-270\,\sqrt{5}+1080\,x^{1/6}+270\right)\,\left(\frac{3\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{10}-\frac{3\,\sqrt{5}}{10}+\frac{3}{10}\right)+\ln\left(270\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}+270\,\sqrt{5}-1080\,x^{1/6}-270\right)\,\left(\frac{3\,\sqrt{2}\,\sqrt{-\sqrt{5}-5}}{10}+\frac{3\,\sqrt{5}}{10}-\frac{3}{10}\right)+6\,x^{1/6}-\ln\left(270\,\sqrt{5}+1080\,x^{1/6}-270\,\sqrt{2}\,\sqrt{\sqrt{5}-5}+270\right)\,\left(\frac{3\,\sqrt{5}}{10}-\frac{3\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{10}+\frac{3}{10}\right)-\ln\left(270\,\sqrt{5}+1080\,x^{1/6}+270\,\sqrt{2}\,\sqrt{\sqrt{5}-5}+270\right)\,\left(\frac{3\,\sqrt{5}}{10}+\frac{3\,\sqrt{2}\,\sqrt{\sqrt{5}-5}}{10}+\frac{3}{10}\right)","Not used",1,"x + (6*log(1296*x^(1/6) - 1296))/5 - log(270*2^(1/2)*(- 5^(1/2) - 5)^(1/2) - 270*5^(1/2) + 1080*x^(1/6) + 270)*((3*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/10 - (3*5^(1/2))/10 + 3/10) + log(270*2^(1/2)*(- 5^(1/2) - 5)^(1/2) + 270*5^(1/2) - 1080*x^(1/6) - 270)*((3*2^(1/2)*(- 5^(1/2) - 5)^(1/2))/10 + (3*5^(1/2))/10 - 3/10) + 6*x^(1/6) - log(270*5^(1/2) + 1080*x^(1/6) - 270*2^(1/2)*(5^(1/2) - 5)^(1/2) + 270)*((3*5^(1/2))/10 - (3*2^(1/2)*(5^(1/2) - 5)^(1/2))/10 + 3/10) - log(270*5^(1/2) + 1080*x^(1/6) + 270*2^(1/2)*(5^(1/2) - 5)^(1/2) + 270)*((3*5^(1/2))/10 + (3*2^(1/2)*(5^(1/2) - 5)^(1/2))/10 + 3/10)","B"
236,1,73,62,0.170920,"\text{Not used}","int(1/(x^(1/2) + 1/x^(1/4)),x)","\frac{4\,\ln\left(16\,x^{1/4}+16\right)}{3}+\ln\left(9\,{\left(-\frac{2}{3}+\frac{\sqrt{3}\,2{}\mathrm{i}}{3}\right)}^2+16\,x^{1/4}\right)\,\left(-\frac{2}{3}+\frac{\sqrt{3}\,2{}\mathrm{i}}{3}\right)-\ln\left(9\,{\left(\frac{2}{3}+\frac{\sqrt{3}\,2{}\mathrm{i}}{3}\right)}^2+16\,x^{1/4}\right)\,\left(\frac{2}{3}+\frac{\sqrt{3}\,2{}\mathrm{i}}{3}\right)+2\,\sqrt{x}","Not used",1,"(4*log(16*x^(1/4) + 16))/3 + log(9*((3^(1/2)*2i)/3 - 2/3)^2 + 16*x^(1/4))*((3^(1/2)*2i)/3 - 2/3) - log(9*((3^(1/2)*2i)/3 + 2/3)^2 + 16*x^(1/4))*((3^(1/2)*2i)/3 + 2/3) + 2*x^(1/2)","B"
237,1,82,130,0.142831,"\text{Not used}","int(1/(1/x^(1/3) + 1/x^(1/4)),x)","4\,x^{1/4}-12\,\ln\left(x^{1/12}+1\right)-2\,\sqrt{x}-3\,x^{1/3}-x-\frac{3\,x^{2/3}}{2}-6\,x^{1/6}+\frac{4\,x^{3/4}}{3}+\frac{4\,x^{5/4}}{5}-\frac{6\,x^{5/6}}{5}+12\,x^{1/12}-\frac{6\,x^{7/6}}{7}+\frac{12\,x^{5/12}}{5}+\frac{12\,x^{7/12}}{7}+\frac{12\,x^{11/12}}{11}+\frac{12\,x^{13/12}}{13}","Not used",1,"4*x^(1/4) - 12*log(x^(1/12) + 1) - 2*x^(1/2) - 3*x^(1/3) - x - (3*x^(2/3))/2 - 6*x^(1/6) + (4*x^(3/4))/3 + (4*x^(5/4))/5 - (6*x^(5/6))/5 + 12*x^(1/12) - (6*x^(7/6))/7 + (12*x^(5/12))/5 + (12*x^(7/12))/7 + (12*x^(11/12))/11 + (12*x^(13/12))/13","B"
238,1,20,24,0.156898,"\text{Not used}","int((-(x - 1)/x)^(1/2),x)","x\,\sqrt{\frac{1}{x}-1}-\mathrm{atan}\left(\sqrt{\frac{1}{x}-1}\right)","Not used",1,"x*(1/x - 1)^(1/2) - atan((1/x - 1)^(1/2))","B"
239,1,9,11,0.143151,"\text{Not used}","int(cos(x)/(sin(x) + sin(x)^2),x)","-2\,\mathrm{atanh}\left(2\,\sin\left(x\right)+1\right)","Not used",1,"-2*atanh(2*sin(x) + 1)","B"
240,1,15,17,0.213121,"\text{Not used}","int(exp(2*x)/(exp(2*x) + 3*exp(x) + 2),x)","2\,\ln\left({\mathrm{e}}^x+2\right)-\ln\left({\mathrm{e}}^x+1\right)","Not used",1,"2*log(exp(x) + 2) - log(exp(x) + 1)","B"
241,1,9,12,0.030065,"\text{Not used}","int(1/(exp(x) + 1)^(1/2),x)","-2\,\mathrm{atanh}\left(\sqrt{{\mathrm{e}}^x+1}\right)","Not used",1,"-2*atanh((exp(x) + 1)^(1/2))","B"
242,1,40,28,0.189751,"\text{Not used}","int((1 - exp(x))^(1/2),x)","2\,\sqrt{1-{\mathrm{e}}^x}+\frac{2\,{\mathrm{e}}^{-\frac{x}{2}}\,\mathrm{asin}\left({\mathrm{e}}^{-\frac{x}{2}}\right)\,\sqrt{1-{\mathrm{e}}^x}}{\sqrt{1-{\mathrm{e}}^{-x}}}","Not used",1,"2*(1 - exp(x))^(1/2) + (2*exp(-x/2)*asin(exp(-x/2))*(1 - exp(x))^(1/2))/(1 - exp(-x))^(1/2)","B"
243,1,11,43,0.391600,"\text{Not used}","int(-1/(5*sin(x) - 3),x)","-\frac{\mathrm{atanh}\left(\frac{3\,\mathrm{tan}\left(\frac{x}{2}\right)}{4}-\frac{5}{4}\right)}{2}","Not used",1,"-atanh((3*tan(x/2))/4 - 5/4)/2","B"
244,1,21,21,0.373341,"\text{Not used}","int(1/(cos(x) + sin(x)),x)","-\sqrt{2}\,\mathrm{atanh}\left(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}\,\mathrm{tan}\left(\frac{x}{2}\right)}{2}\right)","Not used",1,"-2^(1/2)*atanh(2^(1/2)/2 - (2^(1/2)*tan(x/2))/2)","B"
245,1,11,11,0.067809,"\text{Not used}","int(1/(sin(x) - cos(x) + 1),x)","-2\,\mathrm{atanh}\left(2\,\mathrm{tan}\left(\frac{x}{2}\right)+1\right)","Not used",1,"-2*atanh(2*tan(x/2) + 1)","B"
246,1,11,18,0.479791,"\text{Not used}","int(1/(4*cos(x) + 3*sin(x)),x)","\frac{2\,\mathrm{atanh}\left(\frac{4\,\mathrm{tan}\left(\frac{x}{2}\right)}{5}-\frac{3}{5}\right)}{5}","Not used",1,"(2*atanh((4*tan(x/2))/5 - 3/5))/5","B"
247,1,16,24,0.300310,"\text{Not used}","int(1/(sin(x) + tan(x)),x)","\frac{\ln\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)}{2}-\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^2}{4}","Not used",1,"log(tan(x/2))/2 - tan(x/2)^2/4","B"
248,1,16,24,0.338321,"\text{Not used}","int(1/(sin(2*x) + 2*sin(x)),x)","\frac{\ln\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)}{4}+\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^2}{8}","Not used",1,"log(tan(x/2))/4 + tan(x/2)^2/8","B"
249,1,22,18,0.128486,"\text{Not used}","int(1/(cos(x)*(sin(x) + 1)),x)","\frac{\ln\left(\mathrm{tan}\left(\frac{x}{2}+\frac{\pi }{4}\right)\right)}{2}-\frac{1}{2\,\left(\sin\left(x\right)+1\right)}","Not used",1,"log(tan(x/2 + pi/4))/2 - 1/(2*(sin(x) + 1))","B"
250,1,31,36,0.727699,"\text{Not used}","int(1/(b*cos(x) + a*sin(x)),x)","-\frac{2\,\mathrm{atanh}\left(\frac{a-b\,\mathrm{tan}\left(\frac{x}{2}\right)}{\sqrt{a^2+b^2}}\right)}{\sqrt{a^2+b^2}}","Not used",1,"-(2*atanh((a - b*tan(x/2))/(a^2 + b^2)^(1/2)))/(a^2 + b^2)^(1/2)","B"
251,1,15,15,0.499099,"\text{Not used}","int(1/(b^2*cos(x)^2 + a^2*sin(x)^2),x)","\frac{\mathrm{atan}\left(\frac{a\,\mathrm{tan}\left(x\right)}{b}\right)}{a\,b}","Not used",1,"atan((a*tan(x))/b)/(a*b)","B"
252,1,8,12,0.042494,"\text{Not used}","int(x/(x^2 - 1),x)","\frac{\ln\left(x^2-1\right)}{2}","Not used",1,"log(x^2 - 1)/2","B"
253,1,11,17,0.027521,"\text{Not used}","int(x^(1/2)*(x^(1/2) + 1),x)","\frac{x^2}{2}+\frac{2\,x^{3/2}}{3}","Not used",1,"x^2/2 + (2*x^(3/2))/3","B"
254,1,6,12,0.196006,"\text{Not used}","int(-1/(cos(x) - 1),x)","-\mathrm{cot}\left(\frac{x}{2}\right)","Not used",1,"-cot(x/2)","B"
255,1,30,16,0.002178,"\text{Not used}","int(tan(x)^2/cos(x),x)","\frac{{\mathrm{tan}\left(\frac{x}{2}\right)}^3+\mathrm{tan}\left(\frac{x}{2}\right)}{{\left({\mathrm{tan}\left(\frac{x}{2}\right)}^2-1\right)}^2}-\mathrm{atanh}\left(\mathrm{tan}\left(\frac{x}{2}\right)\right)","Not used",1,"(tan(x/2) + tan(x/2)^3)/(tan(x/2)^2 - 1)^2 - atanh(tan(x/2))","B"
256,1,13,17,0.002058,"\text{Not used}","int(tan(x)^3/cos(x)^3,x)","\frac{1}{5\,{\cos\left(x\right)}^5}-\frac{1}{3\,{\cos\left(x\right)}^3}","Not used",1,"1/(5*cos(x)^5) - 1/(3*cos(x)^3)","B"
257,1,11,24,0.001998,"\text{Not used}","int(exp(x^(1/2)),x)","2\,{\mathrm{e}}^{\sqrt{x}}\,\left(\sqrt{x}-1\right)","Not used",1,"2*exp(x^(1/2))*(x^(1/2) - 1)","B"
258,1,30,42,0.183666,"\text{Not used}","int(-(x^5 + 1)/(10*x + 3*x^2 - x^3),x)","19\,x-\frac{31\,\ln\left(x+2\right)}{14}+\frac{3126\,\ln\left(x-5\right)}{35}-\frac{\ln\left(x\right)}{10}+\frac{3\,x^2}{2}+\frac{x^3}{3}","Not used",1,"19*x - (31*log(x + 2))/14 + (3126*log(x - 5))/35 - log(x)/10 + (3*x^2)/2 + x^3/3","B"
259,1,6,8,0.068707,"\text{Not used}","int(1/(x*log(x)^(1/2)),x)","2\,\sqrt{\ln\left(x\right)}","Not used",1,"2*log(x)^(1/2)","B"
260,1,10,12,0.030704,"\text{Not used}","int((2*x + 5)/(x - 3),x)","2\,x+11\,\ln\left(x-3\right)","Not used",1,"2*x + 11*log(x - 3)","B"
261,1,3,5,0.031048,"\text{Not used}","int(exp(x + exp(x)),x)","{\mathrm{e}}^{{\mathrm{e}}^x}","Not used",1,"exp(exp(x))","B"
262,1,18,24,0.002172,"\text{Not used}","int(cos(x)^2*sin(x)^2,x)","\frac{\cos\left(x\right)\,{\sin\left(x\right)}^3}{4}-\frac{\cos\left(x\right)\,\sin\left(x\right)}{8}+\frac{x}{8}","Not used",1,"x/8 - (cos(x)*sin(x))/8 + (cos(x)*sin(x)^3)/4","B"
263,1,32,8,0.420486,"\text{Not used}","int(-(cos(x) - sin(x))/(cos(x) + sin(x)),x)","-2\,\mathrm{atanh}\left(\frac{128\,\mathrm{tan}\left(\frac{x}{2}\right)+128}{16\,{\mathrm{tan}\left(\frac{x}{2}\right)}^2+32\,\mathrm{tan}\left(\frac{x}{2}\right)+48}-3\right)","Not used",1,"-2*atanh((128*tan(x/2) + 128)/(32*tan(x/2) + 16*tan(x/2)^2 + 48) - 3)","B"
264,1,11,13,0.002031,"\text{Not used}","int(x/(1 - x^2)^(1/2),x)","-\sqrt{1-x^2}","Not used",1,"-(1 - x^2)^(1/2)","B"
265,1,9,17,0.187784,"\text{Not used}","int(x^3*log(x),x)","\frac{x^4\,\left(\ln\left(x\right)-\frac{1}{4}\right)}{4}","Not used",1,"(x^4*(log(x) - 1/4))/4","B"
266,1,18,24,0.039177,"\text{Not used}","int((x - 2)^(1/2)/(x + 2),x)","2\,\sqrt{x-2}-4\,\mathrm{atan}\left(\frac{\sqrt{x-2}}{2}\right)","Not used",1,"2*(x - 2)^(1/2) - 4*atan((x - 2)^(1/2)/2)","B"
267,1,12,12,0.033519,"\text{Not used}","int(x/(x + 2)^2,x)","\ln\left(x+2\right)+\frac{2}{x+2}","Not used",1,"log(x + 2) + 2/(x + 2)","B"
268,1,16,16,0.179632,"\text{Not used}","int(log(x^2 + 1),x)","2\,\mathrm{atan}\left(x\right)-2\,x+x\,\ln\left(x^2+1\right)","Not used",1,"2*atan(x) - 2*x + x*log(x^2 + 1)","B"
269,1,18,22,0.254174,"\text{Not used}","int((log(x) + 1)^(1/2)/(x*log(x)),x)","2\,\sqrt{\ln\left(x\right)+1}-2\,\mathrm{atanh}\left(\sqrt{\ln\left(x\right)+1}\right)","Not used",1,"2*(log(x) + 1)^(1/2) - 2*atanh((log(x) + 1)^(1/2))","B"
270,1,42,27,0.031752,"\text{Not used}","int((x^(1/2) + 1)^8,x)","x+14\,x^2+\frac{70\,x^3}{3}+7\,x^4+\frac{16\,x^{3/2}}{3}+\frac{x^5}{5}+\frac{112\,x^{5/2}}{5}+16\,x^{7/2}+\frac{16\,x^{9/2}}{9}","Not used",1,"x + 14*x^2 + (70*x^3)/3 + 7*x^4 + (16*x^(3/2))/3 + x^5/5 + (112*x^(5/2))/5 + 16*x^(7/2) + (16*x^(9/2))/9","B"
271,1,14,17,0.186890,"\text{Not used}","int(tan(x)^3/cos(x)^4,x)","\frac{{\mathrm{tan}\left(x\right)}^4\,\left(2\,{\mathrm{tan}\left(x\right)}^2+3\right)}{12}","Not used",1,"(tan(x)^4*(2*tan(x)^2 + 3))/12","B"
272,1,16,22,0.161657,"\text{Not used}","int(x/(x^2 - 2*x + 2),x)","\mathrm{atan}\left(x-1\right)+\frac{\ln\left(x^2-2\,x+2\right)}{2}","Not used",1,"atan(x - 1) + log(x^2 - 2*x + 2)/2","B"
273,1,24,32,0.027670,"\text{Not used}","int(x*asin(x),x)","\frac{x\,\sqrt{1-x^2}}{4}+\frac{\mathrm{asin}\left(x\right)\,\left(2\,x^2-1\right)}{4}","Not used",1,"(x*(1 - x^2)^(1/2))/4 + (asin(x)*(2*x^2 - 1))/4","B"
274,1,30,30,0.063226,"\text{Not used}","int((9 - x^2)^(1/2)/x,x)","3\,\ln\left(\sqrt{\frac{9}{x^2}-1}-3\,\sqrt{\frac{1}{x^2}}\right)+\sqrt{9-x^2}","Not used",1,"3*log((9/x^2 - 1)^(1/2) - 3*(1/x^2)^(1/2)) + (9 - x^2)^(1/2)","B"
275,1,13,13,0.049843,"\text{Not used}","int(x/(3*x + x^2 + 2),x)","2\,\ln\left(x+2\right)-\ln\left(x+1\right)","Not used",1,"2*log(x + 2) - log(x + 1)","B"
276,1,16,16,0.180441,"\text{Not used}","int(x^2*cosh(x),x)","2\,\mathrm{sinh}\left(x\right)+x^2\,\mathrm{sinh}\left(x\right)-2\,x\,\mathrm{cosh}\left(x\right)","Not used",1,"2*sinh(x) + x^2*sinh(x) - 2*x*cosh(x)","B"
277,1,13,17,0.069723,"\text{Not used}","int((x + x^3 + 1)/(4*x + 2*x^2 + x^4),x)","\frac{\ln\left(x\,\left(x^3+2\,x+4\right)\right)}{4}","Not used",1,"log(x*(2*x + x^3 + 4))/4","B"
278,1,3,3,0.073497,"\text{Not used}","int(cos(x)/(sin(x)^2 + 1),x)","\mathrm{atan}\left(\sin\left(x\right)\right)","Not used",1,"atan(sin(x))","B"
279,1,16,22,0.225001,"\text{Not used}","int(cos(x^(1/2)),x)","2\,\cos\left(\sqrt{x}\right)+2\,\sqrt{x}\,\sin\left(\sqrt{x}\right)","Not used",1,"2*cos(x^(1/2)) + 2*x^(1/2)*sin(x^(1/2))","B"
280,1,9,9,0.018390,"\text{Not used}","int(sin(Pi*x),x)","-\frac{\cos\left(\Pi \,x\right)}{\Pi }","Not used",1,"-cos(Pi*x)/Pi","B"
281,1,10,12,0.045745,"\text{Not used}","int(exp(2*x)/(exp(x) + 1),x)","{\mathrm{e}}^x-\ln\left({\mathrm{e}}^x+1\right)","Not used",1,"exp(x) - log(exp(x) + 1)","B"
282,1,19,27,0.027773,"\text{Not used}","int(cos(5*x)*exp(3*x),x)","\frac{{\mathrm{e}}^{3\,x}\,\left(3\,\cos\left(5\,x\right)+5\,\sin\left(5\,x\right)\right)}{34}","Not used",1,"(exp(3*x)*(3*cos(5*x) + 5*sin(5*x)))/34","B"
283,1,13,17,0.058125,"\text{Not used}","int(cos(3*x)*cos(5*x),x)","\frac{\sin\left(2\,x\right)}{4}+\frac{\sin\left(8\,x\right)}{16}","Not used",1,"sin(2*x)/4 + sin(8*x)/16","B"
284,1,25,25,0.176485,"\text{Not used}","int(1/(x + x^2 + x^3 + 1),x)","\frac{\ln\left(x+1\right)}{2}+\ln\left(x-\mathrm{i}\right)\,\left(-\frac{1}{4}-\frac{1}{4}{}\mathrm{i}\right)+\ln\left(x+1{}\mathrm{i}\right)\,\left(-\frac{1}{4}+\frac{1}{4}{}\mathrm{i}\right)","Not used",1,"log(x + 1)/2 - log(x - 1i)*(1/4 + 1i/4) - log(x + 1i)*(1/4 - 1i/4)","B"
285,1,25,39,0.041411,"\text{Not used}","int(x^2*log(x + 1),x)","\frac{x^2}{6}-\frac{x}{3}-\frac{x^3}{9}+\frac{\ln\left(x+1\right)\,\left(x^3+1\right)}{3}","Not used",1,"x^2/6 - x/3 - x^3/9 + (log(x + 1)*(x^3 + 1))/3","B"
286,1,13,26,0.050155,"\text{Not used}","int(x^5*exp(-x^3),x)","-\frac{{\mathrm{e}}^{-x^3}\,\left(x^3+1\right)}{3}","Not used",1,"-(exp(-x^3)*(x^3 + 1))/3","B"
287,1,10,12,0.177582,"\text{Not used}","int(tan(4*x)^2,x)","\frac{\mathrm{tan}\left(4\,x\right)}{4}-x","Not used",1,"tan(4*x)/4 - x","B"
288,1,20,25,0.272902,"\text{Not used}","int(1/(12*x + 9*x^2 - 5)^(1/2),x)","\frac{\ln\left(3\,x+\sqrt{9\,x^2+12\,x-5}+2\right)}{3}","Not used",1,"log(3*x + (12*x + 9*x^2 - 5)^(1/2) + 2)/3","B"
289,1,21,27,0.168248,"\text{Not used}","int(x^2*atan(x),x)","\frac{\ln\left(x^2+1\right)}{6}+\frac{x^3\,\mathrm{atan}\left(x\right)}{3}-\frac{x^2}{6}","Not used",1,"log(x^2 + 1)/6 + (x^3*atan(x))/3 - x^2/6","B"
290,1,12,19,0.025644,"\text{Not used}","int(-(x^(1/2) - 1)/x^(1/3),x)","-\frac{3\,x^{2/3}\,\left(4\,\sqrt{x}-7\right)}{14}","Not used",1,"-(3*x^(2/3)*(4*x^(1/2) - 7))/14","B"
291,1,15,6,0.099479,"\text{Not used}","int(-1/(exp(-x) - exp(x)),x)","\frac{\ln\left({\mathrm{e}}^x-1\right)}{2}-\frac{\ln\left({\mathrm{e}}^x+1\right)}{2}","Not used",1,"log(exp(x) - 1)/2 - log(exp(x) + 1)/2","B"
292,1,10,14,0.185551,"\text{Not used}","int(x/(2*x^2 + x^4 + 10),x)","\frac{\mathrm{atan}\left(\frac{x^2}{3}+\frac{1}{3}\right)}{6}","Not used",1,"atan(x^2/3 + 1/3)/6","B"
293,1,8,12,0.218947,"\text{Not used}","int(1/(x + 1/x^(1/3)),x)","\frac{3\,\ln\left(x^{4/3}+1\right)}{4}","Not used",1,"(3*log(x^(4/3) + 1))/4","B"
294,1,26,34,0.038682,"\text{Not used}","int(cos(x)^4*sin(x)^2,x)","\left(\frac{{\cos\left(x\right)}^3}{6}+\frac{\cos\left(x\right)}{8}\right)\,{\sin\left(x\right)}^3-\frac{\cos\left(x\right)\,\sin\left(x\right)}{16}+\frac{x}{16}","Not used",1,"x/16 - (cos(x)*sin(x))/16 + sin(x)^3*(cos(x)/8 + cos(x)^3/6)","B"
295,1,6,12,0.162545,"\text{Not used}","int(1/(5 - x^2 - 4*x)^(1/2),x)","\mathrm{asin}\left(\frac{x}{3}+\frac{2}{3}\right)","Not used",1,"asin(x/3 + 2/3)","B"
296,1,21,16,0.134182,"\text{Not used}","int(x/((1 - x^2)^(1/2) - x^2 + 1),x)","\ln\left(\sqrt{\frac{1}{x^2}-1}-\sqrt{\frac{1}{x^2}}\right)-\ln\left(x\right)","Not used",1,"log((1/x^2 - 1)^(1/2) - (1/x^2)^(1/2)) - log(x)","B"
297,1,5,7,0.048558,"\text{Not used}","int((cos(x) + 1)/sin(x),x)","\ln\left(\cos\left(x\right)-1\right)","Not used",1,"log(cos(x) - 1)","B"
298,1,15,6,0.026984,"\text{Not used}","int(exp(x)/(exp(2*x) - 1),x)","\frac{\ln\left({\mathrm{e}}^x-1\right)}{2}-\frac{\ln\left({\mathrm{e}}^x+1\right)}{2}","Not used",1,"log(exp(x) - 1)/2 - log(exp(x) + 1)/2","B"
299,1,46,43,0.087780,"\text{Not used}","int(1/(x^3 - 8),x)","\frac{\ln\left(x-2\right)}{12}+\ln\left(x+1-\sqrt{3}\,1{}\mathrm{i}\right)\,\left(-\frac{1}{24}+\frac{\sqrt{3}\,1{}\mathrm{i}}{24}\right)-\ln\left(x+1+\sqrt{3}\,1{}\mathrm{i}\right)\,\left(\frac{1}{24}+\frac{\sqrt{3}\,1{}\mathrm{i}}{24}\right)","Not used",1,"log(x - 2)/12 + log(x - 3^(1/2)*1i + 1)*((3^(1/2)*1i)/24 - 1/24) - log(x + 3^(1/2)*1i + 1)*((3^(1/2)*1i)/24 + 1/24)","B"
300,1,37,37,0.210060,"\text{Not used}","int(x^5*cosh(x),x)","20\,x^3\,\mathrm{sinh}\left(x\right)-60\,x^2\,\mathrm{cosh}\left(x\right)-5\,x^4\,\mathrm{cosh}\left(x\right)-120\,\mathrm{cosh}\left(x\right)+x^5\,\mathrm{sinh}\left(x\right)+120\,x\,\mathrm{sinh}\left(x\right)","Not used",1,"20*x^3*sinh(x) - 60*x^2*cosh(x) - 5*x^4*cosh(x) - 120*cosh(x) + x^5*sinh(x) + 120*x*sinh(x)","B"
301,1,27,9,2.592692,"\text{Not used}","int(log(tan(x))/(cos(x)*sin(x)),x)","\frac{{\ln\left(-\frac{{\mathrm{e}}^{x\,2{}\mathrm{i}}\,1{}\mathrm{i}-\mathrm{i}}{{\mathrm{e}}^{x\,2{}\mathrm{i}}+1}\right)}^2}{2}","Not used",1,"log(-(exp(x*2i)*1i - 1i)/(exp(x*2i) + 1))^2/2","B"
302,1,15,20,0.026594,"\text{Not used}","int(x^2 - 2*x + x^3,x)","\frac{x^2\,\left(3\,x^2+4\,x-12\right)}{12}","Not used",1,"(x^2*(4*x + 3*x^2 - 12))/12","B"
303,1,9,12,0.181462,"\text{Not used}","int(-(exp(x) + 1)/(exp(x) - 1),x)","x-2\,\ln\left({\mathrm{e}}^x-1\right)","Not used",1,"x - 2*log(exp(x) - 1)","B"
304,1,17,21,0.052658,"\text{Not used}","int(x/((x^2 + 1)*(x^2 + 4)),x)","\frac{\mathrm{atanh}\left(\frac{3\,x^2}{5\,x^2+8}\right)}{3}","Not used",1,"atanh((3*x^2)/(5*x^2 + 8))/3","B"
305,1,11,43,0.396061,"\text{Not used}","int(-1/(5*sin(x) - 4),x)","-\frac{2\,\mathrm{atanh}\left(\frac{4\,\mathrm{tan}\left(\frac{x}{2}\right)}{3}-\frac{5}{3}\right)}{3}","Not used",1,"-(2*atanh((4*tan(x/2))/3 - 5/3))/3","B"
306,1,14,24,0.160918,"\text{Not used}","int(x*(c + x)^(1/3),x)","-\frac{3\,{\left(c+x\right)}^{4/3}\,\left(3\,c-4\,x\right)}{28}","Not used",1,"-(3*(c + x)^(4/3)*(3*c - 4*x))/28","B"
307,1,21,38,0.032083,"\text{Not used}","int(exp(x^(1/3)),x)","3\,x\,{\mathrm{e}}^{x^{1/3}}\,\left(\frac{2}{x}+\frac{1}{x^{1/3}}-\frac{2}{x^{2/3}}\right)","Not used",1,"3*x*exp(x^(1/3))*(2/x + 1/x^(1/3) - 2/x^(2/3))","B"
308,1,32,37,0.196246,"\text{Not used}","int(1/(x + (x + 1)^(1/2) + 4),x)","\ln\left(x+\sqrt{x+1}+4\right)-\frac{2\,\sqrt{11}\,\mathrm{atan}\left(\frac{\sqrt{11}}{11}+\frac{2\,\sqrt{11}\,\sqrt{x+1}}{11}\right)}{11}","Not used",1,"log(x + (x + 1)^(1/2) + 4) - (2*11^(1/2)*atan(11^(1/2)/11 + (2*11^(1/2)*(x + 1)^(1/2))/11))/11","B"
309,1,15,17,0.043371,"\text{Not used}","int(-(x^3 + 1)/(x^2 - x^3),x)","x+2\,\ln\left(x-1\right)-\ln\left(x\right)+\frac{1}{x}","Not used",1,"x + 2*log(x - 1) - log(x) + 1/x","B"
310,1,34,40,0.199754,"\text{Not used}","int(sin(2*x)*(4*x + x^2 - 3),x)","\frac{7\,\cos\left(2\,x\right)}{4}+\sin\left(2\,x\right)-2\,x\,\cos\left(2\,x\right)+\frac{x\,\sin\left(2\,x\right)}{2}-\frac{x^2\,\cos\left(2\,x\right)}{2}","Not used",1,"(7*cos(2*x))/4 + sin(2*x) - 2*x*cos(2*x) + (x*sin(2*x))/2 - (x^2*cos(2*x))/2","B"
311,1,5,5,0.219187,"\text{Not used}","int(cos(cos(x))*sin(x),x)","-\sin\left(\cos\left(x\right)\right)","Not used",1,"-sin(cos(x))","B"
312,1,4,6,0.011035,"\text{Not used}","int(1/(16 - x^2)^(1/2),x)","\mathrm{asin}\left(\frac{x}{4}\right)","Not used",1,"asin(x/4)","B"
313,1,29,37,0.123973,"\text{Not used}","int(x^3/(x + 1)^10,x)","\frac{3}{7\,{\left(x+1\right)}^7}-\frac{1}{6\,{\left(x+1\right)}^6}-\frac{3}{8\,{\left(x+1\right)}^8}+\frac{1}{9\,{\left(x+1\right)}^9}","Not used",1,"3/(7*(x + 1)^7) - 1/(6*(x + 1)^6) - 3/(8*(x + 1)^8) + 1/(9*(x + 1)^9)","B"
314,1,18,21,0.376719,"\text{Not used}","int(cot(2*x)^3/sin(2*x)^3,x)","\frac{5\,{\sin\left(2\,x\right)}^2-3}{30\,{\sin\left(2\,x\right)}^5}","Not used",1,"(5*sin(2*x)^2 - 3)/(30*sin(2*x)^5)","B"
315,1,24,30,0.307546,"\text{Not used}","int((x + sin(x))^2,x)","\frac{x}{2}+2\,\sin\left(x\right)-\frac{\cos\left(x\right)\,\sin\left(x\right)}{2}-2\,x\,\cos\left(x\right)+\frac{x^3}{3}","Not used",1,"x/2 + 2*sin(x) - (cos(x)*sin(x))/2 - 2*x*cos(x) + x^3/3","B"
316,1,3,4,0.249025,"\text{Not used}","int(exp(atan(x))/(x^2 + 1),x)","{\mathrm{e}}^{\mathrm{atan}\left(x\right)}","Not used",1,"exp(atan(x))","B"
317,1,11,13,0.068950,"\text{Not used}","int(1/(x*(x^4 + 1)),x)","\ln\left(x\right)-\frac{\ln\left(x^4+1\right)}{4}","Not used",1,"log(x) - log(x^4 + 1)/4","B"
318,1,21,44,0.041785,"\text{Not used}","int(t^3*exp(-2*t),t)","-\frac{{\mathrm{e}}^{-2\,t}\,\left(8\,t^3+12\,t^2+12\,t+6\right)}{16}","Not used",1,"-(exp(-2*t)*(12*t + 12*t^2 + 8*t^3 + 6))/16","B"
319,1,27,41,0.042578,"\text{Not used}","int(t^(1/2)/(t^(1/3) + 1),t)","6\,\mathrm{atan}\left(t^{1/6}\right)+2\,\sqrt{t}-6\,t^{1/6}-\frac{6\,t^{5/6}}{5}+\frac{6\,t^{7/6}}{7}","Not used",1,"6*atan(t^(1/6)) + 2*t^(1/2) - 6*t^(1/6) - (6*t^(5/6))/5 + (6*t^(7/6))/7","B"
320,1,14,25,0.222862,"\text{Not used}","int(sin(2*x)*sin(3*x)*sin(x),x)","-\frac{{\sin\left(x\right)}^4\,\left(8\,{\sin\left(x\right)}^2-9\right)}{6}","Not used",1,"-(sin(x)^4*(8*sin(x)^2 - 9))/6","B"
321,1,8,12,0.175402,"\text{Not used}","int(log(x/2),x)","x\,\left(\ln\left(\frac{x}{2}\right)-1\right)","Not used",1,"x*(log(x/2) - 1)","B"
322,1,43,41,0.049686,"\text{Not used}","int((-(x + 1)/(x - 1))^(1/2),x)","2\,\mathrm{atan}\left(\sqrt{-\frac{x+1}{x-1}}\right)+\frac{2\,\sqrt{-\frac{x+1}{x-1}}}{\frac{x+1}{x-1}-1}","Not used",1,"2*atan((-(x + 1)/(x - 1))^(1/2)) + (2*(-(x + 1)/(x - 1))^(1/2))/((x + 1)/(x - 1) - 1)","B"
323,0,-1,34,0.000000,"\text{Not used}","int((x*log(x))/(x^2 - 1)^(1/2),x)","\int \frac{x\,\ln\left(x\right)}{\sqrt{x^2-1}} \,d x","Not used",1,"int((x*log(x))/(x^2 - 1)^(1/2), x)","F"
324,1,17,19,0.042778,"\text{Not used}","int((a + x)/(a^2 + x^2),x)","\frac{\ln\left(a^2+x^2\right)}{2}+\mathrm{atan}\left(\frac{x}{a}\right)","Not used",1,"log(a^2 + x^2)/2 + atan(x/a)","B"
325,1,28,38,0.045568,"\text{Not used}","int((x - x^2 + 1)^(1/2),x)","\frac{5\,\mathrm{asin}\left(\frac{2\,\sqrt{5}\,\left(x-\frac{1}{2}\right)}{5}\right)}{8}+\left(\frac{x}{2}-\frac{1}{4}\right)\,\sqrt{-x^2+x+1}","Not used",1,"(5*asin((2*5^(1/2)*(x - 1/2))/5))/8 + (x/2 - 1/4)*(x - x^2 + 1)^(1/2)","B"
326,1,8,12,0.182205,"\text{Not used}","int(x^4/(x^10 + 16),x)","\frac{\mathrm{atan}\left(\frac{x^5}{4}\right)}{20}","Not used",1,"atan(x^5/4)/20","B"
327,1,28,31,0.037899,"\text{Not used}","int((x + 2)/(x + x^2 + 2),x)","\frac{\ln\left(x^2+x+2\right)}{2}+\frac{3\,\sqrt{7}\,\mathrm{atan}\left(\frac{2\,\sqrt{7}\,x}{7}+\frac{\sqrt{7}}{7}\right)}{7}","Not used",1,"log(x + x^2 + 2)/2 + (3*7^(1/2)*atan((2*7^(1/2)*x)/7 + 7^(1/2)/7))/7","B"
328,1,19,10,0.110554,"\text{Not used}","int((x*tan(x))/cos(x),x)","\frac{x}{\cos\left(x\right)}+\mathrm{atan}\left(\cos\left(x\right)+\sin\left(x\right)\,1{}\mathrm{i}\right)\,2{}\mathrm{i}","Not used",1,"atan(cos(x) + sin(x)*1i)*2i + x/cos(x)","B"
329,1,13,15,0.059497,"\text{Not used}","int(-x/(a^4 - x^4),x)","-\frac{\mathrm{atanh}\left(\frac{x^2}{a^2}\right)}{2\,a^2}","Not used",1,"-atanh(x^2/a^2)/(2*a^2)","B"
330,1,21,21,0.198560,"\text{Not used}","int(1/((x + 1)^(1/2) + x^(1/2)),x)","\frac{2\,x\,\sqrt{x+1}}{3}+\frac{2\,\sqrt{x+1}}{3}-\frac{2\,x^{3/2}}{3}","Not used",1,"(2*x*(x + 1)^(1/2))/3 + (2*(x + 1)^(1/2))/3 - (2*x^(3/2))/3","B"
331,1,17,23,0.248881,"\text{Not used}","int(1/(2*exp(x) - exp(-x) + 1),x)","\frac{\ln\left(2\,{\mathrm{e}}^x-1\right)}{3}-\frac{\ln\left({\mathrm{e}}^x+1\right)}{3}","Not used",1,"log(2*exp(x) - 1)/3 - log(exp(x) + 1)/3","B"
332,1,16,20,0.251337,"\text{Not used}","int(atan(x^(1/2))/x^(1/2),x)","2\,\sqrt{x}\,\mathrm{atan}\left(\sqrt{x}\right)-\ln\left(x+1\right)","Not used",1,"2*x^(1/2)*atan(x^(1/2)) - log(x + 1)","B"
333,1,18,18,0.167967,"\text{Not used}","int(log(x + 1)/x^2,x)","-\ln\left(\frac{1}{x}+1\right)-\frac{\ln\left(x+1\right)}{x}","Not used",1,"- log(1/x + 1) - log(x + 1)/x","B"
334,1,19,12,0.232296,"\text{Not used}","int(1/(exp(3*x) - exp(x)),x)","{\mathrm{e}}^{-x}+\frac{\ln\left({\mathrm{e}}^x-1\right)}{2}-\frac{\ln\left({\mathrm{e}}^x+1\right)}{2}","Not used",1,"exp(-x) + log(exp(x) - 1)/2 - log(exp(x) + 1)/2","B"
335,1,8,8,0.213290,"\text{Not used}","int(-(cos(x)^2 + 1)/(cos(x)^2 - 1),x)","-x-2\,\mathrm{cot}\left(x\right)","Not used",1,"- x - 2*cot(x)","B"
336,1,12,18,0.145174,"\text{Not used}","int(1/(x*(2*x - 25)^(1/2)),x)","\frac{2\,\mathrm{atan}\left(\frac{\sqrt{2\,x-25}}{5}\right)}{5}","Not used",1,"(2*atan((2*x - 25)^(1/2)/5))/5","B"
337,1,18,11,0.429676,"\text{Not used}","int(sin(2*x)/(9 - cos(x)^4)^(1/2),x)","-\mathrm{atan}\left(\frac{{\cos\left(x\right)}^2}{\sqrt{9-{\cos\left(x\right)}^4}}\right)","Not used",1,"-atan(cos(x)^2/(9 - cos(x)^4)^(1/2))","B"
338,1,22,30,0.172894,"\text{Not used}","int(x^2/(5 - 4*x^2)^(1/2),x)","\frac{5\,\mathrm{asin}\left(\frac{2\,\sqrt{5}\,x}{5}\right)}{16}-\frac{x\,\sqrt{\frac{5}{4}-x^2}}{4}","Not used",1,"(5*asin((2*5^(1/2)*x)/5))/16 - (x*(5/4 - x^2)^(1/2))/4","B"
339,1,23,24,0.030725,"\text{Not used}","int(x^3*sin(x),x)","\cos\left(x\right)\,\left(6\,x-x^3\right)+\sin\left(x\right)\,\left(3\,x^2-6\right)","Not used",1,"cos(x)*(6*x - x^3) + sin(x)*(3*x^2 - 6)","B"
340,1,39,50,0.212023,"\text{Not used}","int(x*(2*x + x^2 + 4)^(1/2),x)","\frac{\sqrt{x^2+2\,x+4}\,\left(8\,x^2+4\,x+20\right)}{24}-\frac{3\,\ln\left(x+\sqrt{x^2+2\,x+4}+1\right)}{2}","Not used",1,"((2*x + x^2 + 4)^(1/2)*(4*x + 8*x^2 + 20))/24 - (3*log(x + (2*x + x^2 + 4)^(1/2) + 1))/2","B"
341,1,9,11,0.205674,"\text{Not used}","int(x*(x^2 + 5)^8,x)","\frac{{\left(x^2+5\right)}^9}{18}","Not used",1,"(x^2 + 5)^9/18","B"
342,1,19,25,0.172123,"\text{Not used}","int(cos(x)^2*sin(x)^5,x)","-\frac{{\cos\left(x\right)}^7}{7}+\frac{2\,{\cos\left(x\right)}^5}{5}-\frac{{\cos\left(x\right)}^3}{3}","Not used",1,"(2*cos(x)^5)/5 - cos(x)^3/3 - cos(x)^7/7","B"
343,1,19,27,0.029223,"\text{Not used}","int(cos(4*x)*exp(-3*x),x)","-\frac{{\mathrm{e}}^{-3\,x}\,\left(3\,\cos\left(4\,x\right)-4\,\sin\left(4\,x\right)\right)}{25}","Not used",1,"-(exp(-3*x)*(3*cos(4*x) - 4*sin(4*x)))/25","B"
344,1,18,24,0.068614,"\text{Not used}","int(1/sin(x/2)^3,x)","\ln\left(\mathrm{tan}\left(\frac{x}{4}\right)\right)-\frac{\cos\left(\frac{x}{2}\right)}{{\sin\left(\frac{x}{2}\right)}^2}","Not used",1,"log(tan(x/4)) - cos(x/2)/sin(x/2)^2","B"
345,1,32,34,0.516343,"\text{Not used}","int((9*x^2 - 1)^(1/2)/x^2,x)","-\frac{\left(\frac{3\,x\,\mathrm{asin}\left(3\,x\right)}{\sqrt{1-9\,x^2}}+1\right)\,\sqrt{9\,x^2-1}}{x}","Not used",1,"-(((3*x*asin(3*x))/(1 - 9*x^2)^(1/2) + 1)*(9*x^2 - 1)^(1/2))/x","B"
346,1,37,30,0.106823,"\text{Not used}","int((4 - 3*x^2)^(1/2)/x,x)","2\,\ln\left(\sqrt{\frac{4}{3\,x^2}-1}-\frac{2\,\sqrt{3}\,\sqrt{\frac{1}{x^2}}}{3}\right)+\sqrt{3}\,\sqrt{\frac{4}{3}-x^2}","Not used",1,"2*log((4/(3*x^2) - 1)^(1/2) - (2*3^(1/2)*(1/x^2)^(1/2))/3) + 3^(1/2)*(4/3 - x^2)^(1/2)","B"
347,1,16,32,0.032642,"\text{Not used}","int(x^2*exp(3*x),x)","\frac{{\mathrm{e}}^{3\,x}\,\left(9\,x^2-6\,x+2\right)}{27}","Not used",1,"(exp(3*x)*(9*x^2 - 6*x + 2))/27","B"
348,1,12,23,0.103377,"\text{Not used}","int((cos(x)*sin(x))/(sin(x) + 1)^(1/2),x)","\frac{2\,\sqrt{\sin\left(x\right)+1}\,\left(\sin\left(x\right)-2\right)}{3}","Not used",1,"(2*(sin(x) + 1)^(1/2)*(sin(x) - 2))/3","B"
349,1,21,27,0.278335,"\text{Not used}","int(x*asin(x^2),x)","\frac{x^2\,\mathrm{asin}\left(x^2\right)}{2}+\frac{\sqrt{1-x^4}}{2}","Not used",1,"(x^2*asin(x^2))/2 + (1 - x^4)^(1/2)/2","B"
350,1,28,38,0.219966,"\text{Not used}","int(x^3*asin(x^2),x)","\frac{x^2\,\sqrt{1-x^4}}{8}+\frac{\mathrm{asin}\left(x^2\right)\,\left(2\,x^4-1\right)}{8}","Not used",1,"(x^2*(1 - x^4)^(1/2))/8 + (asin(x^2)*(2*x^4 - 1))/8","B"
351,1,6,5,0.046608,"\text{Not used}","int(exp(x)/cosh(exp(x)),x)","2\,\mathrm{atan}\left({\mathrm{e}}^{{\mathrm{e}}^x}\right)","Not used",1,"2*atan(exp(exp(x)))","B"
352,1,23,29,0.192540,"\text{Not used}","int(x^2*cos(3*x),x)","\frac{2\,x\,\cos\left(3\,x\right)}{9}-\frac{2\,\sin\left(3\,x\right)}{27}+\frac{x^2\,\sin\left(3\,x\right)}{3}","Not used",1,"(2*x*cos(3*x))/9 - (2*sin(3*x))/27 + (x^2*sin(3*x))/3","B"
353,1,27,36,0.176450,"\text{Not used}","int((5 - x^2 - 4*x)^(1/2),x)","\frac{9\,\mathrm{asin}\left(\frac{x}{3}+\frac{2}{3}\right)}{2}+\left(\frac{x}{2}+1\right)\,\sqrt{-x^2-4\,x+5}","Not used",1,"(9*asin(x/3 + 2/3))/2 + (x/2 + 1)*(5 - x^2 - 4*x)^(1/2)","B"
354,1,22,28,0.055981,"\text{Not used}","int(x^5/(2^(1/2) + x^2),x)","\ln\left(x^2+\sqrt{2}\right)-\frac{\sqrt{2}\,x^2}{2}+\frac{x^4}{4}","Not used",1,"log(2^(1/2) + x^2) - (2^(1/2)*x^2)/2 + x^4/4","B"
355,1,29,26,0.057613,"\text{Not used}","int(1/cos(x)^5,x)","\frac{3\,\ln\left(\frac{\sin\left(x\right)+1}{\cos\left(x\right)}\right)}{8}+\sin\left(x\right)\,\left(\frac{3}{8\,{\cos\left(x\right)}^2}+\frac{1}{4\,{\cos\left(x\right)}^4}\right)","Not used",1,"(3*log((sin(x) + 1)/cos(x)))/8 + sin(x)*(3/(8*cos(x)^2) + 1/(4*cos(x)^4))","B"
356,1,22,46,0.206563,"\text{Not used}","int(sin(2*x)^6,x)","\frac{5\,x}{16}-\frac{15\,\sin\left(4\,x\right)}{128}+\frac{3\,\sin\left(8\,x\right)}{128}-\frac{\sin\left(12\,x\right)}{384}","Not used",1,"(5*x)/16 - (15*sin(4*x))/128 + (3*sin(8*x))/128 - sin(12*x)/384","B"
357,1,11,20,0.247535,"\text{Not used}","int(log(sin(x))*cos(x)*sin(x)^2,x)","\frac{{\sin\left(x\right)}^3\,\left(\ln\left(\sin\left(x\right)\right)-\frac{1}{3}\right)}{3}","Not used",1,"(sin(x)^3*(log(sin(x)) - 1/3))/3","B"
358,1,19,21,0.069137,"\text{Not used}","int(exp(-x)/(2*exp(x) + 1),x)","2\,\ln\left(2\,{\mathrm{e}}^x+1\right)-2\,x-{\mathrm{e}}^{-x}","Not used",1,"2*log(2*exp(x) + 1) - 2*x - exp(-x)","B"
359,0,-1,37,0.000000,"\text{Not used}","int(tan(x)*(3*cos(x) + 2)^(1/2),x)","\int \mathrm{tan}\left(x\right)\,\sqrt{3\,\cos\left(x\right)+2} \,d x","Not used",1,"int(tan(x)*(3*cos(x) + 2)^(1/2), x)","F"
360,1,23,28,0.151739,"\text{Not used}","int(x/(x^2 - 4*x)^(1/2),x)","2\,\ln\left(x+\sqrt{x\,\left(x-4\right)}-2\right)+\sqrt{x^2-4\,x}","Not used",1,"2*log(x + (x*(x - 4))^(1/2) - 2) + (x^2 - 4*x)^(1/2)","B"
361,1,21,19,0.034865,"\text{Not used}","int(cos(x)^5,x)","\frac{\sin\left(x\right)\,{\cos\left(x\right)}^4}{5}+\frac{4\,\sin\left(x\right)\,{\cos\left(x\right)}^2}{15}+\frac{8\,\sin\left(x\right)}{15}","Not used",1,"(8*sin(x))/15 + (4*cos(x)^2*sin(x))/15 + (cos(x)^4*sin(x))/5","B"
362,1,24,46,0.026504,"\text{Not used}","int(x^4*exp(-x),x)","-{\mathrm{e}}^{-x}\,\left(x^4+4\,x^3+12\,x^2+24\,x+24\right)","Not used",1,"-exp(-x)*(24*x + 12*x^2 + 4*x^3 + x^4 + 24)","B"
363,0,-1,18,0.000000,"\text{Not used}","int(x^4/(x^10 - 2)^(1/2),x)","\int \frac{x^4}{\sqrt{x^{10}-2}} \,d x","Not used",1,"int(x^4/(x^10 - 2)^(1/2), x)","F"
364,1,19,27,0.199833,"\text{Not used}","int(exp(x)*cos(3*x + 4),x)","\frac{{\mathrm{e}}^x\,\left(\cos\left(3\,x+4\right)+3\,\sin\left(3\,x+4\right)\right)}{10}","Not used",1,"(exp(x)*(cos(3*x + 4) + 3*sin(3*x + 4)))/10","B"
365,1,18,18,0.235078,"\text{Not used}","int(exp(x)*log(exp(x) + 1),x)","\ln\left({\mathrm{e}}^x+1\right)-{\mathrm{e}}^x+{\mathrm{e}}^x\,\ln\left({\mathrm{e}}^x+1\right)","Not used",1,"log(exp(x) + 1) - exp(x) + exp(x)*log(exp(x) + 1)","B"
366,1,21,27,0.002251,"\text{Not used}","int(x^2*atan(x),x)","\frac{\ln\left(x^2+1\right)}{6}+\frac{x^3\,\mathrm{atan}\left(x\right)}{3}-\frac{x^2}{6}","Not used",1,"log(x^2 + 1)/6 + (x^3*atan(x))/3 - x^2/6","B"
367,1,31,26,0.256796,"\text{Not used}","int((exp(2*x) - 1)^(1/2),x)","\sqrt{{\mathrm{e}}^{2\,x}-1}\,\left(\frac{{\mathrm{e}}^{-x}\,\mathrm{asin}\left({\mathrm{e}}^{-x}\right)}{\sqrt{1-{\mathrm{e}}^{-2\,x}}}+1\right)","Not used",1,"(exp(2*x) - 1)^(1/2)*((exp(-x)*asin(exp(-x)))/(1 - exp(-2*x))^(1/2) + 1)","B"
368,1,9,15,0.273971,"\text{Not used}","int(sin(2*x)*exp(sin(x)),x)","2\,{\mathrm{e}}^{\sin\left(x\right)}\,\left(\sin\left(x\right)-1\right)","Not used",1,"2*exp(sin(x))*(sin(x) - 1)","B"
369,1,30,47,0.037472,"\text{Not used}","int(x^2*(5 - x^2)^(1/2),x)","\frac{25\,\mathrm{asin}\left(\frac{\sqrt{5}\,x}{5}\right)}{8}-\sqrt{5-x^2}\,\left(\frac{5\,x}{8}-\frac{x^3}{4}\right)","Not used",1,"(25*asin((5^(1/2)*x)/5))/8 - (5 - x^2)^(1/2)*((5*x)/8 - x^3/4)","B"
370,1,26,11,0.023974,"\text{Not used}","int(x^2*(x^3 + 1)^4,x)","\frac{x^{15}}{15}+\frac{x^{12}}{3}+\frac{2\,x^9}{3}+\frac{2\,x^6}{3}+\frac{x^3}{3}","Not used",1,"x^3/3 + (2*x^6)/3 + (2*x^9)/3 + x^12/3 + x^15/15","B"
371,1,14,17,0.050048,"\text{Not used}","int(cos(x)^3*sin(x)^3,x)","-\frac{{\sin\left(x\right)}^4\,\left(2\,{\sin\left(x\right)}^2-3\right)}{12}","Not used",1,"-(sin(x)^4*(2*sin(x)^2 - 3))/12","B"
372,1,13,17,0.189927,"\text{Not used}","int(tan(x)^2/cos(x)^4,x)","\frac{{\mathrm{tan}\left(x\right)}^5}{5}+\frac{{\mathrm{tan}\left(x\right)}^3}{3}","Not used",1,"tan(x)^3/3 + tan(x)^5/5","B"
373,1,14,27,0.034896,"\text{Not used}","int(x*(2*x + 1)^(1/2),x)","\frac{{\left(2\,x+1\right)}^{3/2}\,\left(6\,x-2\right)}{30}","Not used",1,"((2*x + 1)^(3/2)*(6*x - 2))/30","B"
374,1,16,24,0.032487,"\text{Not used}","int(sin(x)^4,x)","\frac{3\,x}{8}-\frac{\sin\left(2\,x\right)}{4}+\frac{\sin\left(4\,x\right)}{32}","Not used",1,"(3*x)/8 - sin(2*x)/4 + sin(4*x)/32","B"
375,1,16,12,0.019239,"\text{Not used}","int(tan(x)^3,x)","\ln\left(\cos\left(x\right)\right)-\frac{{\cos\left(x\right)}^2-1}{2\,{\cos\left(x\right)}^2}","Not used",1,"log(cos(x)) - (cos(x)^2 - 1)/(2*cos(x)^2)","B"
376,1,25,40,0.024865,"\text{Not used}","int(x^5*(x^2 + 1)^(1/2),x)","\sqrt{x^2+1}\,\left(\frac{x^6}{7}+\frac{x^4}{35}-\frac{4\,x^2}{105}+\frac{8}{105}\right)","Not used",1,"(x^2 + 1)^(1/2)*(x^4/35 - (4*x^2)/105 + x^6/7 + 8/105)","B"