1,1,230,42,0.685764,"\text{Not used}","int(x^3*atan(a + b*x^4),x)","\frac{x^4\,\mathrm{atan}\left(b\,x^4+a\right)}{4}-\frac{\ln\left(a^2+2\,a\,b\,x^4+b^2\,x^8+1\right)}{8\,b}+\frac{a\,\mathrm{atan}\left(\frac{a}{a^6+3\,a^4+3\,a^2+1}+\frac{3\,a^3}{a^6+3\,a^4+3\,a^2+1}+\frac{3\,a^5}{a^6+3\,a^4+3\,a^2+1}+\frac{a^7}{a^6+3\,a^4+3\,a^2+1}+\frac{b\,x^4}{a^6+3\,a^4+3\,a^2+1}+\frac{3\,a^2\,b\,x^4}{a^6+3\,a^4+3\,a^2+1}+\frac{3\,a^4\,b\,x^4}{a^6+3\,a^4+3\,a^2+1}+\frac{a^6\,b\,x^4}{a^6+3\,a^4+3\,a^2+1}\right)}{4\,b}","Not used",1,"(x^4*atan(a + b*x^4))/4 - log(a^2 + b^2*x^8 + 2*a*b*x^4 + 1)/(8*b) + (a*atan(a/(3*a^2 + 3*a^4 + a^6 + 1) + (3*a^3)/(3*a^2 + 3*a^4 + a^6 + 1) + (3*a^5)/(3*a^2 + 3*a^4 + a^6 + 1) + a^7/(3*a^2 + 3*a^4 + a^6 + 1) + (b*x^4)/(3*a^2 + 3*a^4 + a^6 + 1) + (3*a^2*b*x^4)/(3*a^2 + 3*a^4 + a^6 + 1) + (3*a^4*b*x^4)/(3*a^2 + 3*a^4 + a^6 + 1) + (a^6*b*x^4)/(3*a^2 + 3*a^4 + a^6 + 1)))/(4*b)","B"
2,1,58,45,0.632138,"\text{Not used}","int(x^(n - 1)*atan(a + b*x^n),x)","\frac{x^n\,\mathrm{atan}\left(a+b\,x^n\right)}{n}-\frac{\ln\left(a^2+b^2\,x^{2\,n}+2\,a\,b\,x^n+1\right)-2\,a\,\mathrm{atan}\left(a+b\,x^n\right)}{2\,b\,n}","Not used",1,"(x^n*atan(a + b*x^n))/n - (log(a^2 + b^2*x^(2*n) + 2*a*b*x^n + 1) - 2*a*atan(a + b*x^n))/(2*b*n)","B"
3,0,-1,144,0.000000,"\text{Not used}","int(x^5*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)),x)","\int x^5\,\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right) \,d x","Not used",1,"int(x^5*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)), x)","F"
4,0,-1,116,0.000000,"\text{Not used}","int(x^3*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)),x)","\int x^3\,\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right) \,d x","Not used",1,"int(x^3*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)), x)","F"
5,0,-1,88,0.000000,"\text{Not used}","int(x*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)),x)","\int x\,\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right) \,d x","Not used",1,"int(x*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)), x)","F"
6,0,-1,288,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x,x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{x} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x, x)","F"
7,0,-1,57,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^3,x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{x^3} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^3, x)","F"
8,0,-1,85,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^5,x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{x^5} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^5, x)","F"
9,0,-1,113,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^7,x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{x^7} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^7, x)","F"
10,0,-1,141,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^9,x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{x^9} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^9, x)","F"
11,0,-1,124,0.000000,"\text{Not used}","int(x^6*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)),x)","\int x^6\,\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right) \,d x","Not used",1,"int(x^6*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)), x)","F"
12,0,-1,99,0.000000,"\text{Not used}","int(x^4*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)),x)","\int x^4\,\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right) \,d x","Not used",1,"int(x^4*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)), x)","F"
13,0,-1,74,0.000000,"\text{Not used}","int(x^2*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)),x)","\int x^2\,\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right) \,d x","Not used",1,"int(x^2*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)), x)","F"
14,1,35,43,0.658327,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)),x)","\frac{\sqrt{e\,x^2+d}}{\sqrt{-e}}+x\,\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)","Not used",1,"(d + e*x^2)^(1/2)/(-e)^(1/2) + x*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))","B"
15,0,-1,59,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^2,x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{x^2} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^2, x)","F"
16,0,-1,91,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^4,x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{x^4} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^4, x)","F"
17,0,-1,119,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^6,x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{x^6} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^6, x)","F"
18,0,-1,211,0.000000,"\text{Not used}","int(x^(9/2)*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)),x)","\int x^{9/2}\,\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right) \,d x","Not used",1,"int(x^(9/2)*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)), x)","F"
19,0,-1,181,0.000000,"\text{Not used}","int(x^(5/2)*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)),x)","\int x^{5/2}\,\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right) \,d x","Not used",1,"int(x^(5/2)*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)), x)","F"
20,0,-1,153,0.000000,"\text{Not used}","int(x^(1/2)*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)),x)","\int \sqrt{x}\,\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right) \,d x","Not used",1,"int(x^(1/2)*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)), x)","F"
21,0,-1,122,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^(3/2),x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{x^{3/2}} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^(3/2), x)","F"
22,0,-1,156,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^(7/2),x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{x^{7/2}} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^(7/2), x)","F"
23,0,-1,186,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^(11/2),x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{x^{11/2}} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^(11/2), x)","F"
24,0,-1,216,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^(15/2),x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{x^{15/2}} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^(15/2), x)","F"
25,0,-1,326,0.000000,"\text{Not used}","int(x^(7/2)*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)),x)","\int x^{7/2}\,\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right) \,d x","Not used",1,"int(x^(7/2)*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)), x)","F"
26,0,-1,296,0.000000,"\text{Not used}","int(x^(3/2)*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)),x)","\int x^{3/2}\,\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right) \,d x","Not used",1,"int(x^(3/2)*atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2)), x)","F"
27,0,-1,260,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^(1/2),x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{\sqrt{x}} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^(1/2), x)","F"
28,0,-1,298,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^(5/2),x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{x^{5/2}} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^(5/2), x)","F"
29,0,-1,331,0.000000,"\text{Not used}","int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^(9/2),x)","\int \frac{\mathrm{atan}\left(\frac{\sqrt{-e}\,x}{\sqrt{e\,x^2+d}}\right)}{x^{9/2}} \,d x","Not used",1,"int(atan(((-e)^(1/2)*x)/(d + e*x^2)^(1/2))/x^(9/2), x)","F"
30,1,42,50,0.758684,"\text{Not used}","int(atan(x + x^2 + 1)/x^2,x)","\frac{\mathrm{atan}\left(x+1\right)}{2}+\frac{\ln\left(x^2+2\,x+2\right)}{4}-\frac{\ln\left(x^2+1\right)}{2}+\frac{\ln\left(x\right)}{2}-\frac{\mathrm{atan}\left(x^2+x+1\right)}{x}","Not used",1,"atan(x + 1)/2 + log(2*x + x^2 + 2)/4 - log(x^2 + 1)/2 + log(x)/2 - atan(x + x^2 + 1)/x","B"
31,0,-1,43,0.000000,"\text{Not used}","int(-(a + b*atan((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^n/(c^2*x^2 - 1),x)","-\int \frac{{\left(a+b\,\mathrm{atan}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)}^n}{c^2\,x^2-1} \,d x","Not used",0,"-int((a + b*atan((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^n/(c^2*x^2 - 1), x)","F"
32,0,-1,431,0.000000,"\text{Not used}","int(-(a + b*atan((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^3/(c^2*x^2 - 1),x)","\int -\frac{{\left(a+b\,\mathrm{atan}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)}^3}{c^2\,x^2-1} \,d x","Not used",1,"int(-(a + b*atan((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^3/(c^2*x^2 - 1), x)","F"
33,0,-1,283,0.000000,"\text{Not used}","int(-(a + b*atan((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^2/(c^2*x^2 - 1),x)","\int -\frac{{\left(a+b\,\mathrm{atan}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)}^2}{c^2\,x^2-1} \,d x","Not used",1,"int(-(a + b*atan((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^2/(c^2*x^2 - 1), x)","F"
34,0,-1,98,0.000000,"\text{Not used}","int(-(a + b*atan((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))/(c^2*x^2 - 1),x)","\int -\frac{a+b\,\mathrm{atan}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)}{c^2\,x^2-1} \,d x","Not used",1,"int(-(a + b*atan((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))/(c^2*x^2 - 1), x)","F"
35,0,-1,43,0.000000,"\text{Not used}","int(-1/((a + b*atan((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))*(c^2*x^2 - 1)),x)","-\int \frac{1}{\left(a+b\,\mathrm{atan}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)\,\left(c^2\,x^2-1\right)} \,d x","Not used",0,"-int(1/((a + b*atan((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))*(c^2*x^2 - 1)), x)","F"
36,0,-1,43,0.000000,"\text{Not used}","int(-1/((a + b*atan((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^2*(c^2*x^2 - 1)),x)","-\int \frac{1}{{\left(a+b\,\mathrm{atan}\left(\frac{\sqrt{1-c\,x}}{\sqrt{c\,x+1}}\right)\right)}^2\,\left(c^2\,x^2-1\right)} \,d x","Not used",0,"-int(1/((a + b*atan((1 - c*x)^(1/2)/(c*x + 1)^(1/2)))^2*(c^2*x^2 - 1)), x)","F"
37,0,-1,37,0.000000,"\text{Not used}","int(x^m*atan(tan(a + b*x)),x)","\int x^m\,\mathrm{atan}\left(\mathrm{tan}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x^m*atan(tan(a + b*x)), x)","F"
38,1,19,23,0.119792,"\text{Not used}","int(x^2*atan(tan(a + b*x)),x)","\frac{x^3\,\mathrm{atan}\left(\mathrm{tan}\left(a+b\,x\right)\right)}{3}-\frac{b\,x^4}{12}","Not used",1,"(x^3*atan(tan(a + b*x)))/3 - (b*x^4)/12","B"
39,1,19,23,0.061039,"\text{Not used}","int(x*atan(tan(a + b*x)),x)","\frac{x^2\,\mathrm{atan}\left(\mathrm{tan}\left(a+b\,x\right)\right)}{2}-\frac{b\,x^3}{6}","Not used",1,"(x^2*atan(tan(a + b*x)))/2 - (b*x^3)/6","B"
40,1,16,16,0.038972,"\text{Not used}","int(atan(tan(a + b*x)),x)","x\,\mathrm{atan}\left(\mathrm{tan}\left(a+b\,x\right)\right)-\frac{b\,x^2}{2}","Not used",1,"x*atan(tan(a + b*x)) - (b*x^2)/2","B"
41,0,-1,21,0.000000,"\text{Not used}","int(atan(tan(a + b*x))/x,x)","\int \frac{\mathrm{atan}\left(\mathrm{tan}\left(a+b\,x\right)\right)}{x} \,d x","Not used",1,"int(atan(tan(a + b*x))/x, x)","F"
42,0,-1,36,0.000000,"\text{Not used}","int(x^m*(Pi/2 - acot(cot(a + b*x))),x)","\int x^m\,\left(\frac{\Pi }{2}-\mathrm{acot}\left(\mathrm{cot}\left(a+b\,x\right)\right)\right) \,d x","Not used",1,"int(x^m*(Pi/2 - acot(cot(a + b*x))), x)","F"
43,1,25,23,0.542367,"\text{Not used}","int(x^2*(Pi/2 - acot(cot(a + b*x))),x)","\frac{\Pi \,x^3}{6}+\frac{b\,x^4}{12}-\frac{x^3\,\mathrm{acot}\left(\mathrm{cot}\left(a+b\,x\right)\right)}{3}","Not used",1,"(Pi*x^3)/6 + (b*x^4)/12 - (x^3*acot(cot(a + b*x)))/3","B"
44,1,25,23,0.071811,"\text{Not used}","int(x*(Pi/2 - acot(cot(a + b*x))),x)","\frac{\Pi \,x^2}{4}+\frac{b\,x^3}{6}-\frac{x^2\,\mathrm{acot}\left(\mathrm{cot}\left(a+b\,x\right)\right)}{2}","Not used",1,"(Pi*x^2)/4 + (b*x^3)/6 - (x^2*acot(cot(a + b*x)))/2","B"
45,1,21,16,0.070637,"\text{Not used}","int(Pi/2 - acot(cot(a + b*x)),x)","\frac{\Pi \,x}{2}-x\,\mathrm{acot}\left(\mathrm{cot}\left(a+b\,x\right)\right)+\frac{b\,x^2}{2}","Not used",1,"(Pi*x)/2 - x*acot(cot(a + b*x)) + (b*x^2)/2","B"
46,0,-1,19,0.000000,"\text{Not used}","int((Pi/2 - acot(cot(a + b*x)))/x,x)","\int \frac{\frac{\Pi }{2}-\mathrm{acot}\left(\mathrm{cot}\left(a+b\,x\right)\right)}{x} \,d x","Not used",1,"int((Pi/2 - acot(cot(a + b*x)))/x, x)","F"
47,1,16,16,0.002367,"\text{Not used}","int(atan(tan(a + b*x)),x)","x\,\mathrm{atan}\left(\mathrm{tan}\left(a+b\,x\right)\right)-\frac{b\,x^2}{2}","Not used",1,"x*atan(tan(a + b*x)) - (b*x^2)/2","B"
48,0,-1,403,0.000000,"\text{Not used}","int(x^2*atan(c + d*tan(a + b*x)),x)","\int x^2\,\mathrm{atan}\left(c+d\,\mathrm{tan}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x^2*atan(c + d*tan(a + b*x)), x)","F"
49,0,-1,305,0.000000,"\text{Not used}","int(x*atan(c + d*tan(a + b*x)),x)","\int x\,\mathrm{atan}\left(c+d\,\mathrm{tan}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x*atan(c + d*tan(a + b*x)), x)","F"
50,0,-1,198,0.000000,"\text{Not used}","int(atan(c + d*tan(a + b*x)),x)","\int \mathrm{atan}\left(c+d\,\mathrm{tan}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(atan(c + d*tan(a + b*x)), x)","F"
51,0,-1,18,0.000000,"\text{Not used}","int(atan(c + d*tan(a + b*x))/x,x)","\int \frac{\mathrm{atan}\left(c+d\,\mathrm{tan}\left(a+b\,x\right)\right)}{x} \,d x","Not used",0,"int(atan(c + d*tan(a + b*x))/x, x)","F"
52,0,-1,154,0.000000,"\text{Not used}","int(x^2*atan(c + tan(a + b*x)*(c*1i + 1)),x)","\int x^2\,\mathrm{atan}\left(c+\mathrm{tan}\left(a+b\,x\right)\,\left(1+c\,1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(x^2*atan(c + tan(a + b*x)*(c*1i + 1)), x)","F"
53,0,-1,123,0.000000,"\text{Not used}","int(x*atan(c + tan(a + b*x)*(c*1i + 1)),x)","\int x\,\mathrm{atan}\left(c+\mathrm{tan}\left(a+b\,x\right)\,\left(1+c\,1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(x*atan(c + tan(a + b*x)*(c*1i + 1)), x)","F"
54,0,-1,85,0.000000,"\text{Not used}","int(atan(c + tan(a + b*x)*(c*1i + 1)),x)","\int \mathrm{atan}\left(c+\mathrm{tan}\left(a+b\,x\right)\,\left(1+c\,1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(atan(c + tan(a + b*x)*(c*1i + 1)), x)","F"
55,0,-1,24,0.000000,"\text{Not used}","int(atan(c + tan(a + b*x)*(c*1i + 1))/x,x)","\int \frac{\mathrm{atan}\left(c+\mathrm{tan}\left(a+b\,x\right)\,\left(1+c\,1{}\mathrm{i}\right)\right)}{x} \,d x","Not used",0,"int(atan(c + tan(a + b*x)*(c*1i + 1))/x, x)","F"
56,0,-1,155,0.000000,"\text{Not used}","int(x^2*atan(c + tan(a + b*x)*(c*1i - 1)),x)","\int x^2\,\mathrm{atan}\left(c+\mathrm{tan}\left(a+b\,x\right)\,\left(-1+c\,1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(x^2*atan(c + tan(a + b*x)*(c*1i - 1)), x)","F"
57,0,-1,124,0.000000,"\text{Not used}","int(x*atan(c + tan(a + b*x)*(c*1i - 1)),x)","\int x\,\mathrm{atan}\left(c+\mathrm{tan}\left(a+b\,x\right)\,\left(-1+c\,1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(x*atan(c + tan(a + b*x)*(c*1i - 1)), x)","F"
58,0,-1,86,0.000000,"\text{Not used}","int(atan(c + tan(a + b*x)*(c*1i - 1)),x)","\int \mathrm{atan}\left(c+\mathrm{tan}\left(a+b\,x\right)\,\left(-1+c\,1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(atan(c + tan(a + b*x)*(c*1i - 1)), x)","F"
59,0,-1,24,0.000000,"\text{Not used}","int(atan(c + tan(a + b*x)*(c*1i - 1))/x,x)","\int \frac{\mathrm{atan}\left(c+\mathrm{tan}\left(a+b\,x\right)\,\left(-1+c\,1{}\mathrm{i}\right)\right)}{x} \,d x","Not used",0,"int(atan(c + tan(a + b*x)*(c*1i - 1))/x, x)","F"
60,1,21,16,0.002107,"\text{Not used}","int(Pi/2 - acot(cot(a + b*x)),x)","\frac{\Pi \,x}{2}-x\,\mathrm{acot}\left(\mathrm{cot}\left(a+b\,x\right)\right)+\frac{b\,x^2}{2}","Not used",1,"(Pi*x)/2 - x*acot(cot(a + b*x)) + (b*x^2)/2","B"
61,0,-1,399,0.000000,"\text{Not used}","int(x^2*atan(c + d*cot(a + b*x)),x)","\int x^2\,\mathrm{atan}\left(c+d\,\mathrm{cot}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x^2*atan(c + d*cot(a + b*x)), x)","F"
62,0,-1,303,0.000000,"\text{Not used}","int(x*atan(c + d*cot(a + b*x)),x)","\int x\,\mathrm{atan}\left(c+d\,\mathrm{cot}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x*atan(c + d*cot(a + b*x)), x)","F"
63,0,-1,198,0.000000,"\text{Not used}","int(atan(c + d*cot(a + b*x)),x)","\int \mathrm{atan}\left(c+d\,\mathrm{cot}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(atan(c + d*cot(a + b*x)), x)","F"
64,0,-1,18,0.000000,"\text{Not used}","int(atan(c + d*cot(a + b*x))/x,x)","\int \frac{\mathrm{atan}\left(c+d\,\mathrm{cot}\left(a+b\,x\right)\right)}{x} \,d x","Not used",0,"int(atan(c + d*cot(a + b*x))/x, x)","F"
65,0,-1,154,0.000000,"\text{Not used}","int(x^2*atan(c - cot(a + b*x)*(c*1i - 1)),x)","\int x^2\,\mathrm{atan}\left(c-\mathrm{cot}\left(a+b\,x\right)\,\left(-1+c\,1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(x^2*atan(c - cot(a + b*x)*(c*1i - 1)), x)","F"
66,0,-1,123,0.000000,"\text{Not used}","int(x*atan(c - cot(a + b*x)*(c*1i - 1)),x)","\int x\,\mathrm{atan}\left(c-\mathrm{cot}\left(a+b\,x\right)\,\left(-1+c\,1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(x*atan(c - cot(a + b*x)*(c*1i - 1)), x)","F"
67,0,-1,85,0.000000,"\text{Not used}","int(atan(c - cot(a + b*x)*(c*1i - 1)),x)","\int \mathrm{atan}\left(c-\mathrm{cot}\left(a+b\,x\right)\,\left(-1+c\,1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(atan(c - cot(a + b*x)*(c*1i - 1)), x)","F"
68,0,-1,24,0.000000,"\text{Not used}","int(atan(c - cot(a + b*x)*(c*1i - 1))/x,x)","\int \frac{\mathrm{atan}\left(c-\mathrm{cot}\left(a+b\,x\right)\,\left(-1+c\,1{}\mathrm{i}\right)\right)}{x} \,d x","Not used",0,"int(atan(c - cot(a + b*x)*(c*1i - 1))/x, x)","F"
69,0,-1,155,0.000000,"\text{Not used}","int(x^2*atan(c - cot(a + b*x)*(c*1i + 1)),x)","\int x^2\,\mathrm{atan}\left(c-\mathrm{cot}\left(a+b\,x\right)\,\left(1+c\,1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(x^2*atan(c - cot(a + b*x)*(c*1i + 1)), x)","F"
70,0,-1,124,0.000000,"\text{Not used}","int(x*atan(c - cot(a + b*x)*(c*1i + 1)),x)","\int x\,\mathrm{atan}\left(c-\mathrm{cot}\left(a+b\,x\right)\,\left(1+c\,1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(x*atan(c - cot(a + b*x)*(c*1i + 1)), x)","F"
71,0,-1,86,0.000000,"\text{Not used}","int(atan(c - cot(a + b*x)*(c*1i + 1)),x)","\int \mathrm{atan}\left(c-\mathrm{cot}\left(a+b\,x\right)\,\left(1+c\,1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(atan(c - cot(a + b*x)*(c*1i + 1)), x)","F"
72,0,-1,24,0.000000,"\text{Not used}","int(atan(c - cot(a + b*x)*(c*1i + 1))/x,x)","\int \frac{\mathrm{atan}\left(c-\mathrm{cot}\left(a+b\,x\right)\,\left(1+c\,1{}\mathrm{i}\right)\right)}{x} \,d x","Not used",0,"int(atan(c - cot(a + b*x)*(c*1i + 1))/x, x)","F"
73,0,-1,39,0.000000,"\text{Not used}","int(atan(sinh(x)),x)","\int \mathrm{atan}\left(\mathrm{sinh}\left(x\right)\right) \,d x","Not used",1,"int(atan(sinh(x)), x)","F"
74,0,-1,74,0.000000,"\text{Not used}","int(x*atan(sinh(x)),x)","\int x\,\mathrm{atan}\left(\mathrm{sinh}\left(x\right)\right) \,d x","Not used",1,"int(x*atan(sinh(x)), x)","F"
75,0,-1,108,0.000000,"\text{Not used}","int(x^2*atan(sinh(x)),x)","\int x^2\,\mathrm{atan}\left(\mathrm{sinh}\left(x\right)\right) \,d x","Not used",1,"int(x^2*atan(sinh(x)), x)","F"
76,0,-1,299,0.000000,"\text{Not used}","int(atan(tanh(a + b*x))*(e + f*x)^3,x)","\int \mathrm{atan}\left(\mathrm{tanh}\left(a+b\,x\right)\right)\,{\left(e+f\,x\right)}^3 \,d x","Not used",1,"int(atan(tanh(a + b*x))*(e + f*x)^3, x)","F"
77,0,-1,229,0.000000,"\text{Not used}","int(atan(tanh(a + b*x))*(e + f*x)^2,x)","\int \mathrm{atan}\left(\mathrm{tanh}\left(a+b\,x\right)\right)\,{\left(e+f\,x\right)}^2 \,d x","Not used",1,"int(atan(tanh(a + b*x))*(e + f*x)^2, x)","F"
78,0,-1,159,0.000000,"\text{Not used}","int(atan(tanh(a + b*x))*(e + f*x),x)","\int \mathrm{atan}\left(\mathrm{tanh}\left(a+b\,x\right)\right)\,\left(e+f\,x\right) \,d x","Not used",1,"int(atan(tanh(a + b*x))*(e + f*x), x)","F"
79,0,-1,74,0.000000,"\text{Not used}","int(atan(tanh(a + b*x)),x)","\int \mathrm{atan}\left(\mathrm{tanh}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(atan(tanh(a + b*x)), x)","F"
80,0,-1,18,0.000000,"\text{Not used}","int(atan(tanh(a + b*x))/(e + f*x),x)","\int \frac{\mathrm{atan}\left(\mathrm{tanh}\left(a+b\,x\right)\right)}{e+f\,x} \,d x","Not used",0,"int(atan(tanh(a + b*x))/(e + f*x), x)","F"
81,0,-1,355,0.000000,"\text{Not used}","int(x^2*atan(c + d*tanh(a + b*x)),x)","\int x^2\,\mathrm{atan}\left(c+d\,\mathrm{tanh}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x^2*atan(c + d*tanh(a + b*x)), x)","F"
82,0,-1,267,0.000000,"\text{Not used}","int(x*atan(c + d*tanh(a + b*x)),x)","\int x\,\mathrm{atan}\left(c+d\,\mathrm{tanh}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x*atan(c + d*tanh(a + b*x)), x)","F"
83,0,-1,174,0.000000,"\text{Not used}","int(atan(c + d*tanh(a + b*x)),x)","\int \mathrm{atan}\left(c+d\,\mathrm{tanh}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(atan(c + d*tanh(a + b*x)), x)","F"
84,0,-1,18,0.000000,"\text{Not used}","int(atan(c + d*tanh(a + b*x))/x,x)","\int \frac{\mathrm{atan}\left(c+d\,\mathrm{tanh}\left(a+b\,x\right)\right)}{x} \,d x","Not used",0,"int(atan(c + d*tanh(a + b*x))/x, x)","F"
85,0,-1,142,0.000000,"\text{Not used}","int(x^2*atan(c + tanh(a + b*x)*(c + 1i)),x)","\int x^2\,\mathrm{atan}\left(c+\mathrm{tanh}\left(a+b\,x\right)\,\left(c+1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(x^2*atan(c + tanh(a + b*x)*(c + 1i)), x)","F"
86,0,-1,113,0.000000,"\text{Not used}","int(x*atan(c + tanh(a + b*x)*(c + 1i)),x)","\int x\,\mathrm{atan}\left(c+\mathrm{tanh}\left(a+b\,x\right)\,\left(c+1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(x*atan(c + tanh(a + b*x)*(c + 1i)), x)","F"
87,0,-1,79,0.000000,"\text{Not used}","int(atan(c + tanh(a + b*x)*(c + 1i)),x)","\int \mathrm{atan}\left(c+\mathrm{tanh}\left(a+b\,x\right)\,\left(c+1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(atan(c + tanh(a + b*x)*(c + 1i)), x)","F"
88,0,-1,22,0.000000,"\text{Not used}","int(atan(c + tanh(a + b*x)*(c + 1i))/x,x)","\int \frac{\mathrm{atan}\left(c+\mathrm{tanh}\left(a+b\,x\right)\,\left(c+1{}\mathrm{i}\right)\right)}{x} \,d x","Not used",0,"int(atan(c + tanh(a + b*x)*(c + 1i))/x, x)","F"
89,0,-1,145,0.000000,"\text{Not used}","int(x^2*atan(c + tanh(a + b*x)*(c - 1i)),x)","\int x^2\,\mathrm{atan}\left(c+\mathrm{tanh}\left(a+b\,x\right)\,\left(c-\mathrm{i}\right)\right) \,d x","Not used",1,"int(x^2*atan(c + tanh(a + b*x)*(c - 1i)), x)","F"
90,0,-1,116,0.000000,"\text{Not used}","int(x*atan(c + tanh(a + b*x)*(c - 1i)),x)","\int x\,\mathrm{atan}\left(c+\mathrm{tanh}\left(a+b\,x\right)\,\left(c-\mathrm{i}\right)\right) \,d x","Not used",1,"int(x*atan(c + tanh(a + b*x)*(c - 1i)), x)","F"
91,0,-1,82,0.000000,"\text{Not used}","int(atan(c + tanh(a + b*x)*(c - 1i)),x)","\int \mathrm{atan}\left(c+\mathrm{tanh}\left(a+b\,x\right)\,\left(c-\mathrm{i}\right)\right) \,d x","Not used",1,"int(atan(c + tanh(a + b*x)*(c - 1i)), x)","F"
92,0,-1,25,0.000000,"\text{Not used}","int(atan(c + tanh(a + b*x)*(c - 1i))/x,x)","\int \frac{\mathrm{atan}\left(c+\mathrm{tanh}\left(a+b\,x\right)\,\left(c-\mathrm{i}\right)\right)}{x} \,d x","Not used",0,"int(atan(c + tanh(a + b*x)*(c - 1i))/x, x)","F"
93,0,-1,299,0.000000,"\text{Not used}","int(atan(coth(a + b*x))*(e + f*x)^3,x)","\int \mathrm{atan}\left(\mathrm{coth}\left(a+b\,x\right)\right)\,{\left(e+f\,x\right)}^3 \,d x","Not used",1,"int(atan(coth(a + b*x))*(e + f*x)^3, x)","F"
94,0,-1,229,0.000000,"\text{Not used}","int(atan(coth(a + b*x))*(e + f*x)^2,x)","\int \mathrm{atan}\left(\mathrm{coth}\left(a+b\,x\right)\right)\,{\left(e+f\,x\right)}^2 \,d x","Not used",1,"int(atan(coth(a + b*x))*(e + f*x)^2, x)","F"
95,0,-1,159,0.000000,"\text{Not used}","int(atan(coth(a + b*x))*(e + f*x),x)","\int \mathrm{atan}\left(\mathrm{coth}\left(a+b\,x\right)\right)\,\left(e+f\,x\right) \,d x","Not used",1,"int(atan(coth(a + b*x))*(e + f*x), x)","F"
96,0,-1,73,0.000000,"\text{Not used}","int(atan(coth(a + b*x)),x)","\int \mathrm{atan}\left(\mathrm{coth}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(atan(coth(a + b*x)), x)","F"
97,0,-1,18,0.000000,"\text{Not used}","int(atan(coth(a + b*x))/(e + f*x),x)","\int \frac{\mathrm{atan}\left(\mathrm{coth}\left(a+b\,x\right)\right)}{e+f\,x} \,d x","Not used",0,"int(atan(coth(a + b*x))/(e + f*x), x)","F"
98,0,-1,351,0.000000,"\text{Not used}","int(x^2*atan(c + d*coth(a + b*x)),x)","\int x^2\,\mathrm{atan}\left(c+d\,\mathrm{coth}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x^2*atan(c + d*coth(a + b*x)), x)","F"
99,0,-1,265,0.000000,"\text{Not used}","int(x*atan(c + d*coth(a + b*x)),x)","\int x\,\mathrm{atan}\left(c+d\,\mathrm{coth}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(x*atan(c + d*coth(a + b*x)), x)","F"
100,0,-1,174,0.000000,"\text{Not used}","int(atan(c + d*coth(a + b*x)),x)","\int \mathrm{atan}\left(c+d\,\mathrm{coth}\left(a+b\,x\right)\right) \,d x","Not used",1,"int(atan(c + d*coth(a + b*x)), x)","F"
101,0,-1,18,0.000000,"\text{Not used}","int(atan(c + d*coth(a + b*x))/x,x)","\int \frac{\mathrm{atan}\left(c+d\,\mathrm{coth}\left(a+b\,x\right)\right)}{x} \,d x","Not used",0,"int(atan(c + d*coth(a + b*x))/x, x)","F"
102,0,-1,142,0.000000,"\text{Not used}","int(x^2*atan(c + coth(a + b*x)*(c + 1i)),x)","\int x^2\,\mathrm{atan}\left(c+\mathrm{coth}\left(a+b\,x\right)\,\left(c+1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(x^2*atan(c + coth(a + b*x)*(c + 1i)), x)","F"
103,0,-1,113,0.000000,"\text{Not used}","int(x*atan(c + coth(a + b*x)*(c + 1i)),x)","\int x\,\mathrm{atan}\left(c+\mathrm{coth}\left(a+b\,x\right)\,\left(c+1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(x*atan(c + coth(a + b*x)*(c + 1i)), x)","F"
104,0,-1,79,0.000000,"\text{Not used}","int(atan(c + coth(a + b*x)*(c + 1i)),x)","\int \mathrm{atan}\left(c+\mathrm{coth}\left(a+b\,x\right)\,\left(c+1{}\mathrm{i}\right)\right) \,d x","Not used",1,"int(atan(c + coth(a + b*x)*(c + 1i)), x)","F"
105,0,-1,22,0.000000,"\text{Not used}","int(atan(c + coth(a + b*x)*(c + 1i))/x,x)","\int \frac{\mathrm{atan}\left(c+\mathrm{coth}\left(a+b\,x\right)\,\left(c+1{}\mathrm{i}\right)\right)}{x} \,d x","Not used",0,"int(atan(c + coth(a + b*x)*(c + 1i))/x, x)","F"
106,0,-1,145,0.000000,"\text{Not used}","int(x^2*atan(c + coth(a + b*x)*(c - 1i)),x)","\int x^2\,\mathrm{atan}\left(c+\mathrm{coth}\left(a+b\,x\right)\,\left(c-\mathrm{i}\right)\right) \,d x","Not used",1,"int(x^2*atan(c + coth(a + b*x)*(c - 1i)), x)","F"
107,0,-1,116,0.000000,"\text{Not used}","int(x*atan(c + coth(a + b*x)*(c - 1i)),x)","\int x\,\mathrm{atan}\left(c+\mathrm{coth}\left(a+b\,x\right)\,\left(c-\mathrm{i}\right)\right) \,d x","Not used",1,"int(x*atan(c + coth(a + b*x)*(c - 1i)), x)","F"
108,0,-1,82,0.000000,"\text{Not used}","int(atan(c + coth(a + b*x)*(c - 1i)),x)","\int \mathrm{atan}\left(c+\mathrm{coth}\left(a+b\,x\right)\,\left(c-\mathrm{i}\right)\right) \,d x","Not used",1,"int(atan(c + coth(a + b*x)*(c - 1i)), x)","F"
109,0,-1,25,0.000000,"\text{Not used}","int(atan(c + coth(a + b*x)*(c - 1i))/x,x)","\int \frac{\mathrm{atan}\left(c+\mathrm{coth}\left(a+b\,x\right)\,\left(c-\mathrm{i}\right)\right)}{x} \,d x","Not used",0,"int(atan(c + coth(a + b*x)*(c - 1i))/x, x)","F"
110,1,21,31,0.687875,"\text{Not used}","int(atan(exp(x)),x)","\frac{\mathrm{polylog}\left(2,-{\mathrm{e}}^x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}-\frac{\mathrm{polylog}\left(2,{\mathrm{e}}^x\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2}","Not used",1,"(polylog(2, -exp(x)*1i)*1i)/2 - (polylog(2, exp(x)*1i)*1i)/2","B"
111,0,-1,63,0.000000,"\text{Not used}","int(x*atan(exp(x)),x)","\int x\,\mathrm{atan}\left({\mathrm{e}}^x\right) \,d x","Not used",1,"int(x*atan(exp(x)), x)","F"
112,0,-1,91,0.000000,"\text{Not used}","int(x^2*atan(exp(x)),x)","\int x^2\,\mathrm{atan}\left({\mathrm{e}}^x\right) \,d x","Not used",1,"int(x^2*atan(exp(x)), x)","F"
113,1,37,45,0.745343,"\text{Not used}","int(atan(exp(a + b*x)),x)","-\frac{{\mathrm{Li}}_{\mathrm{2}}\left(1-{\mathrm{e}}^{b\,x}\,{\mathrm{e}}^a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,b}+\frac{{\mathrm{Li}}_{\mathrm{2}}\left(1+{\mathrm{e}}^{b\,x}\,{\mathrm{e}}^a\,1{}\mathrm{i}\right)\,1{}\mathrm{i}}{2\,b}","Not used",1,"(dilog(exp(b*x)*exp(a)*1i + 1)*1i)/(2*b) - (dilog(1 - exp(b*x)*exp(a)*1i)*1i)/(2*b)","B"
114,0,-1,91,0.000000,"\text{Not used}","int(x*atan(exp(a + b*x)),x)","\int x\,\mathrm{atan}\left({\mathrm{e}}^{a+b\,x}\right) \,d x","Not used",1,"int(x*atan(exp(a + b*x)), x)","F"
115,0,-1,133,0.000000,"\text{Not used}","int(x^2*atan(exp(a + b*x)),x)","\int x^2\,\mathrm{atan}\left({\mathrm{e}}^{a+b\,x}\right) \,d x","Not used",1,"int(x^2*atan(exp(a + b*x)), x)","F"
116,0,-1,196,0.000000,"\text{Not used}","int(atan(a + b*f^(c + d*x)),x)","\int \mathrm{atan}\left(a+b\,f^{c+d\,x}\right) \,d x","Not used",1,"int(atan(a + b*f^(c + d*x)), x)","F"
117,0,-1,232,0.000000,"\text{Not used}","int(x*atan(a + b*f^(c + d*x)),x)","\int x\,\mathrm{atan}\left(a+b\,f^{c+d\,x}\right) \,d x","Not used",1,"int(x*atan(a + b*f^(c + d*x)), x)","F"
118,0,-1,302,0.000000,"\text{Not used}","int(x^2*atan(a + b*f^(c + d*x)),x)","\int x^2\,\mathrm{atan}\left(a+b\,f^{c+d\,x}\right) \,d x","Not used",1,"int(x^2*atan(a + b*f^(c + d*x)), x)","F"
119,1,20,25,0.089162,"\text{Not used}","int(atan(exp(x))*exp(-x),x)","x-\frac{\ln\left({\mathrm{e}}^{2\,x}+1\right)}{2}-\mathrm{atan}\left({\mathrm{e}}^x\right)\,{\mathrm{e}}^{-x}","Not used",1,"x - log(exp(2*x) + 1)/2 - atan(exp(x))*exp(-x)","B"
120,1,31,45,0.123557,"\text{Not used}","int(atan(x)/(x - 1)^3,x)","\frac{\ln\left(x^2+1\right)}{8}-\frac{\ln\left(x-1\right)}{4}-\frac{\frac{x}{4}+\frac{\mathrm{atan}\left(x\right)}{2}-\frac{1}{4}}{{\left(x-1\right)}^2}","Not used",1,"log(x^2 + 1)/8 - log(x - 1)/4 - (x/4 + atan(x)/2 - 1/4)/(x - 1)^2","B"
121,1,46,64,0.700181,"\text{Not used}","int(atan(2*x + 1)/(3*x + 4)^3,x)","\frac{5\,\ln\left(x+\frac{4}{3}\right)}{289}-\frac{5\,\ln\left(x^2+x+\frac{1}{2}\right)}{578}+\frac{8\,\mathrm{atan}\left(2\,x+1\right)}{867}-\frac{\frac{3\,x}{34}+\frac{\mathrm{atan}\left(2\,x+1\right)}{6}+\frac{2}{17}}{{\left(3\,x+4\right)}^2}","Not used",1,"(5*log(x + 4/3))/289 - (5*log(x + x^2 + 1/2))/578 + (8*atan(2*x + 1))/867 - ((3*x)/34 + atan(2*x + 1)/6 + 2/17)/(3*x + 4)^2","B"
122,1,24,30,0.075062,"\text{Not used}","int(atan((x + 1)^(1/2)),x)","\mathrm{atan}\left(\sqrt{x+1}\right)-\sqrt{x+1}+\mathrm{atan}\left(\sqrt{x+1}\right)\,\left(x+1\right)","Not used",1,"atan((x + 1)^(1/2)) - (x + 1)^(1/2) + atan((x + 1)^(1/2))*(x + 1)","B"
123,1,5,5,0.224508,"\text{Not used}","int(1/((x^2 + 1)*(atan(x) + 2)),x)","\ln\left(\mathrm{atan}\left(x\right)+2\right)","Not used",1,"log(atan(x) + 2)","B"
124,1,15,17,0.134732,"\text{Not used}","int(1/((a + a*x^2)*(b - 2*b*atan(x))),x)","-\frac{\ln\left(2\,\mathrm{atan}\left(x\right)-1\right)}{2\,a\,b}","Not used",1,"-log(2*atan(x) - 1)/(2*a*b)","B"
125,1,16,18,0.127359,"\text{Not used}","int((x + atan(x)*(x + 1)^2 + x^3)/((x^2 + 1)*(x + 1)^2),x)","\ln\left(x+1\right)+\frac{1}{x+1}+\frac{{\mathrm{atan}\left(x\right)}^2}{2}","Not used",1,"log(x + 1) + 1/(x + 1) + atan(x)^2/2","B"
126,1,72,68,1.652579,"\text{Not used}","int(x^3*atan((x + 1)^(1/2) - x^(1/2)),x)","\frac{x^{3/2}}{24}-\frac{\sqrt{x}}{8}-\frac{x^{5/2}}{40}+\frac{x^{7/2}}{56}+\frac{\mathrm{atan}\left(\sqrt{x+1}-\sqrt{x}\right)\,\left(\frac{x^5}{2}+\frac{x^4}{2}\right)}{2\,x+2}+\frac{\ln\left(\frac{{\left(-1+\sqrt{x}\,1{}\mathrm{i}\right)}^2}{x+1}\right)\,1{}\mathrm{i}}{16}","Not used",1,"(log((x^(1/2)*1i - 1)^2/(x + 1))*1i)/16 - x^(1/2)/8 + x^(3/2)/24 - x^(5/2)/40 + x^(7/2)/56 + (atan((x + 1)^(1/2) - x^(1/2))*(x^4/2 + x^5/2))/(2*x + 2)","B"
127,1,65,59,0.939505,"\text{Not used}","int(x^2*atan((x + 1)^(1/2) - x^(1/2)),x)","\frac{\sqrt{x}}{6}-\frac{x^{3/2}}{18}+\frac{x^{5/2}}{30}+\frac{\mathrm{atan}\left(\sqrt{x+1}-\sqrt{x}\right)\,\left(\frac{2\,x^4}{3}+\frac{2\,x^3}{3}\right)}{2\,x+2}+\frac{\ln\left(\frac{{\left(\sqrt{x}-\mathrm{i}\right)}^2}{x+1}\right)\,1{}\mathrm{i}}{12}","Not used",1,"(log((x^(1/2) - 1i)^2/(x + 1))*1i)/12 + x^(1/2)/6 - x^(3/2)/18 + x^(5/2)/30 + (atan((x + 1)^(1/2) - x^(1/2))*((2*x^3)/3 + (2*x^4)/3))/(2*x + 2)","B"
128,1,58,50,0.849712,"\text{Not used}","int(x*atan((x + 1)^(1/2) - x^(1/2)),x)","\frac{x^{3/2}}{12}-\frac{\sqrt{x}}{4}+\frac{\mathrm{atan}\left(\sqrt{x+1}-\sqrt{x}\right)\,\left(x^3+x^2\right)}{2\,x+2}+\frac{\ln\left(\frac{{\left(-1+\sqrt{x}\,1{}\mathrm{i}\right)}^2}{x+1}\right)\,1{}\mathrm{i}}{8}","Not used",1,"(log((x^(1/2)*1i - 1)^2/(x + 1))*1i)/8 - x^(1/2)/4 + x^(3/2)/12 + (atan((x + 1)^(1/2) - x^(1/2))*(x^2 + x^3))/(2*x + 2)","B"
129,1,40,37,0.894463,"\text{Not used}","int(atan((x + 1)^(1/2) - x^(1/2)),x)","x\,\mathrm{atan}\left(\sqrt{x+1}-\sqrt{x}\right)+\frac{\sqrt{x}}{2}-\frac{\ln\left(\frac{{\left(-1+\sqrt{x}\,1{}\mathrm{i}\right)}^2}{x+1}\right)\,1{}\mathrm{i}}{4}","Not used",1,"x*atan((x + 1)^(1/2) - x^(1/2)) - (log((x^(1/2)*1i - 1)^2/(x + 1))*1i)/4 + x^(1/2)/2","B"
130,0,-1,42,0.000000,"\text{Not used}","int(atan((x + 1)^(1/2) - x^(1/2))/x,x)","\int \frac{\mathrm{atan}\left(\sqrt{x+1}-\sqrt{x}\right)}{x} \,d x","Not used",1,"int(atan((x + 1)^(1/2) - x^(1/2))/x, x)","F"
131,1,44,41,1.409291,"\text{Not used}","int(atan((x + 1)^(1/2) - x^(1/2))/x^2,x)","-\frac{\mathrm{atan}\left(\sqrt{x+1}-\sqrt{x}\right)-\frac{\sqrt{x}}{2}}{x}+\frac{\ln\left(\frac{{\left(-1+\sqrt{x}\,1{}\mathrm{i}\right)}^2}{x+1}\right)\,1{}\mathrm{i}}{4}","Not used",1,"(log((x^(1/2)*1i - 1)^2/(x + 1))*1i)/4 - (atan((x + 1)^(1/2) - x^(1/2)) - x^(1/2)/2)/x","B"
132,1,49,50,1.359234,"\text{Not used}","int(atan((x + 1)^(1/2) - x^(1/2))/x^3,x)","-\frac{\frac{\mathrm{atan}\left(\sqrt{x+1}-\sqrt{x}\right)}{2}-\frac{\sqrt{x}}{12}+\frac{x^{3/2}}{4}}{x^2}+\frac{\ln\left(\frac{{\left(\sqrt{x}-\mathrm{i}\right)}^2}{x+1}\right)\,1{}\mathrm{i}}{8}","Not used",1,"(log((x^(1/2) - 1i)^2/(x + 1))*1i)/8 - (atan((x + 1)^(1/2) - x^(1/2))/2 - x^(1/2)/12 + x^(3/2)/4)/x^2","B"
133,1,56,59,0.938695,"\text{Not used}","int(atan((x + 1)^(1/2) - x^(1/2))/x^4,x)","-\frac{\frac{\mathrm{atan}\left(\sqrt{x+1}-\sqrt{x}\right)}{3}-\frac{\sqrt{x}}{30}+\frac{x^{3/2}}{18}-\frac{x^{5/2}}{6}}{x^3}+\frac{\ln\left(\frac{{\left(-1+\sqrt{x}\,1{}\mathrm{i}\right)}^2}{x+1}\right)\,1{}\mathrm{i}}{12}","Not used",1,"(log((x^(1/2)*1i - 1)^2/(x + 1))*1i)/12 - (atan((x + 1)^(1/2) - x^(1/2))/3 - x^(1/2)/30 + x^(3/2)/18 - x^(5/2)/6)/x^3","B"
134,1,57,63,0.727098,"\text{Not used}","int(atan((c*x)/(a - c^2*x^2)^(1/2))^m/(d - (c^2*d*x^2)/a)^(1/2),x)","\frac{{\mathrm{atan}\left(\frac{c\,x}{\sqrt{a-c^2\,x^2}}\right)}^{m+1}\,\sqrt{a-c^2\,x^2}}{c\,\left(m+1\right)\,\sqrt{d-\frac{c^2\,d\,x^2}{a}}}","Not used",1,"(atan((c*x)/(a - c^2*x^2)^(1/2))^(m + 1)*(a - c^2*x^2)^(1/2))/(c*(m + 1)*(d - (c^2*d*x^2)/a)^(1/2))","B"
135,0,-1,59,0.000000,"\text{Not used}","int(atan((c*x)/(a - c^2*x^2)^(1/2))^2/(d - (c^2*d*x^2)/a)^(1/2),x)","\int \frac{{\mathrm{atan}\left(\frac{c\,x}{\sqrt{a-c^2\,x^2}}\right)}^2}{\sqrt{d-\frac{c^2\,d\,x^2}{a}}} \,d x","Not used",1,"int(atan((c*x)/(a - c^2*x^2)^(1/2))^2/(d - (c^2*d*x^2)/a)^(1/2), x)","F"
136,0,-1,59,0.000000,"\text{Not used}","int(atan((c*x)/(a - c^2*x^2)^(1/2))/(d - (c^2*d*x^2)/a)^(1/2),x)","\int \frac{\mathrm{atan}\left(\frac{c\,x}{\sqrt{a-c^2\,x^2}}\right)}{\sqrt{d-\frac{c^2\,d\,x^2}{a}}} \,d x","Not used",1,"int(atan((c*x)/(a - c^2*x^2)^(1/2))/(d - (c^2*d*x^2)/a)^(1/2), x)","F"
137,1,49,55,0.598665,"\text{Not used}","int(1/(atan((c*x)/(a - c^2*x^2)^(1/2))*(d - (c^2*d*x^2)/a)^(1/2)),x)","\frac{\ln\left(\mathrm{atan}\left(\frac{c\,x}{\sqrt{a-c^2\,x^2}}\right)\right)\,\sqrt{a-c^2\,x^2}}{c\,\sqrt{d-\frac{c^2\,d\,x^2}{a}}}","Not used",1,"(log(atan((c*x)/(a - c^2*x^2)^(1/2)))*(a - c^2*x^2)^(1/2))/(c*(d - (c^2*d*x^2)/a)^(1/2))","B"
138,1,51,57,0.601923,"\text{Not used}","int(1/(atan((c*x)/(a - c^2*x^2)^(1/2))^2*(d - (c^2*d*x^2)/a)^(1/2)),x)","-\frac{\sqrt{a-c^2\,x^2}}{c\,\mathrm{atan}\left(\frac{c\,x}{\sqrt{a-c^2\,x^2}}\right)\,\sqrt{d-\frac{c^2\,d\,x^2}{a}}}","Not used",1,"-(a - c^2*x^2)^(1/2)/(c*atan((c*x)/(a - c^2*x^2)^(1/2))*(d - (c^2*d*x^2)/a)^(1/2))","B"
139,1,51,59,0.614140,"\text{Not used}","int(1/(atan((c*x)/(a - c^2*x^2)^(1/2))^3*(d - (c^2*d*x^2)/a)^(1/2)),x)","-\frac{\sqrt{a-c^2\,x^2}}{2\,c\,{\mathrm{atan}\left(\frac{c\,x}{\sqrt{a-c^2\,x^2}}\right)}^2\,\sqrt{d-\frac{c^2\,d\,x^2}{a}}}","Not used",1,"-(a - c^2*x^2)^(1/2)/(2*c*atan((c*x)/(a - c^2*x^2)^(1/2))^2*(d - (c^2*d*x^2)/a)^(1/2))","B"
140,0,-1,72,0.000000,"\text{Not used}","int(atan((e*x)/(- e^2*x^2 - (a*e^2)/b)^(1/2))^m/(a + b*x^2)^(1/2),x)","\int \frac{{\mathrm{atan}\left(\frac{e\,x}{\sqrt{-e^2\,x^2-\frac{a\,e^2}{b}}}\right)}^m}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(atan((e*x)/(- e^2*x^2 - (a*e^2)/b)^(1/2))^m/(a + b*x^2)^(1/2), x)","F"
141,0,-1,68,0.000000,"\text{Not used}","int(atan((e*x)/(- e^2*x^2 - (a*e^2)/b)^(1/2))^2/(a + b*x^2)^(1/2),x)","\int \frac{{\mathrm{atan}\left(\frac{e\,x}{\sqrt{-e^2\,x^2-\frac{a\,e^2}{b}}}\right)}^2}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(atan((e*x)/(- e^2*x^2 - (a*e^2)/b)^(1/2))^2/(a + b*x^2)^(1/2), x)","F"
142,0,-1,68,0.000000,"\text{Not used}","int(atan((e*x)/(- e^2*x^2 - (a*e^2)/b)^(1/2))/(a + b*x^2)^(1/2),x)","\int \frac{\mathrm{atan}\left(\frac{e\,x}{\sqrt{-e^2\,x^2-\frac{a\,e^2}{b}}}\right)}{\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(atan((e*x)/(- e^2*x^2 - (a*e^2)/b)^(1/2))/(a + b*x^2)^(1/2), x)","F"
143,0,-1,64,0.000000,"\text{Not used}","int(1/(atan((e*x)/(- e^2*x^2 - (a*e^2)/b)^(1/2))*(a + b*x^2)^(1/2)),x)","\int \frac{1}{\mathrm{atan}\left(\frac{e\,x}{\sqrt{-e^2\,x^2-\frac{a\,e^2}{b}}}\right)\,\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(1/(atan((e*x)/(- e^2*x^2 - (a*e^2)/b)^(1/2))*(a + b*x^2)^(1/2)), x)","F"
144,0,-1,66,0.000000,"\text{Not used}","int(1/(atan((e*x)/(- e^2*x^2 - (a*e^2)/b)^(1/2))^2*(a + b*x^2)^(1/2)),x)","\int \frac{1}{{\mathrm{atan}\left(\frac{e\,x}{\sqrt{-e^2\,x^2-\frac{a\,e^2}{b}}}\right)}^2\,\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(1/(atan((e*x)/(- e^2*x^2 - (a*e^2)/b)^(1/2))^2*(a + b*x^2)^(1/2)), x)","F"
145,0,-1,68,0.000000,"\text{Not used}","int(1/(atan((e*x)/(- e^2*x^2 - (a*e^2)/b)^(1/2))^3*(a + b*x^2)^(1/2)),x)","\int \frac{1}{{\mathrm{atan}\left(\frac{e\,x}{\sqrt{-e^2\,x^2-\frac{a\,e^2}{b}}}\right)}^3\,\sqrt{b\,x^2+a}} \,d x","Not used",1,"int(1/(atan((e*x)/(- e^2*x^2 - (a*e^2)/b)^(1/2))^3*(a + b*x^2)^(1/2)), x)","F"
146,0,-1,101,0.000000,"\text{Not used}","int((atan(c*(a + b*x))*log(d*(a + b*x)))/(a + b*x),x)","\int \frac{\mathrm{atan}\left(c\,\left(a+b\,x\right)\right)\,\ln\left(d\,\left(a+b\,x\right)\right)}{a+b\,x} \,d x","Not used",1,"int((atan(c*(a + b*x))*log(d*(a + b*x)))/(a + b*x), x)","F"
147,1,66,48,0.768931,"\text{Not used}","int(exp(c*(a + b*x))*atan(sinh(a*c + b*c*x)),x)","\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}}{2}-\frac{{\mathrm{e}}^{-b\,c\,x}\,{\mathrm{e}}^{-a\,c}}{2}\right)}{b\,c}-\frac{\ln\left({\mathrm{e}}^{2\,b\,c\,x}\,{\mathrm{e}}^{2\,a\,c}+1\right)}{b\,c}","Not used",1,"(exp(b*c*x)*exp(a*c)*atan((exp(b*c*x)*exp(a*c))/2 - (exp(-b*c*x)*exp(-a*c))/2))/(b*c) - log(exp(2*b*c*x)*exp(2*a*c) + 1)/(b*c)","B"
148,1,133,103,0.314077,"\text{Not used}","int(exp(c*(a + b*x))*atan(cosh(a*c + b*c*x)),x)","\frac{\ln\left(-8\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}-2\,\sqrt{2}-6\,\sqrt{2}\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}\right)\,\left(\sqrt{2}-1\right)}{2\,b\,c}-\frac{\ln\left(2\,\sqrt{2}-8\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}+6\,\sqrt{2}\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}\right)\,\left(\sqrt{2}+1\right)}{2\,b\,c}+\frac{{\mathrm{e}}^{a\,c+b\,c\,x}\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}}{2}+\frac{{\mathrm{e}}^{-b\,c\,x}\,{\mathrm{e}}^{-a\,c}}{2}\right)}{b\,c}","Not used",1,"(log(- 8*exp(2*c*(a + b*x)) - 2*2^(1/2) - 6*2^(1/2)*exp(2*c*(a + b*x)))*(2^(1/2) - 1))/(2*b*c) - (log(2*2^(1/2) - 8*exp(2*c*(a + b*x)) + 6*2^(1/2)*exp(2*c*(a + b*x)))*(2^(1/2) + 1))/(2*b*c) + (exp(a*c + b*c*x)*atan((exp(b*c*x)*exp(a*c))/2 + (exp(-b*c*x)*exp(-a*c))/2))/(b*c)","B"
149,1,164,180,1.416163,"\text{Not used}","int(exp(c*(a + b*x))*atan(tanh(a*c + b*c*x)),x)","\frac{4\,{\mathrm{e}}^{a\,c+b\,c\,x}\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{2\,b\,c\,x}\,{\mathrm{e}}^{2\,a\,c}-1}{{\mathrm{e}}^{2\,b\,c\,x}\,{\mathrm{e}}^{2\,a\,c}+1}\right)+\sqrt{2}\,\ln\left(\sqrt{2}\,\left(-4-4{}\mathrm{i}\right)+{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}\,8{}\mathrm{i}\right)\,\left(-1-\mathrm{i}\right)+\sqrt{2}\,\ln\left(\sqrt{2}\,\left(-4+4{}\mathrm{i}\right)-{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}\,8{}\mathrm{i}\right)\,\left(-1+1{}\mathrm{i}\right)+\sqrt{2}\,\ln\left(\sqrt{2}\,\left(4-4{}\mathrm{i}\right)-{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}\,8{}\mathrm{i}\right)\,\left(1-\mathrm{i}\right)+\sqrt{2}\,\ln\left(\sqrt{2}\,\left(4+4{}\mathrm{i}\right)+{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}\,8{}\mathrm{i}\right)\,\left(1+1{}\mathrm{i}\right)}{4\,b\,c}","Not used",1,"(2^(1/2)*log(2^(1/2)*(4 - 4i) - exp(b*c*x)*exp(a*c)*8i)*(1 - 1i) - 2^(1/2)*log(- 2^(1/2)*(4 - 4i) - exp(b*c*x)*exp(a*c)*8i)*(1 - 1i) - 2^(1/2)*log(exp(b*c*x)*exp(a*c)*8i - 2^(1/2)*(4 + 4i))*(1 + 1i) + 2^(1/2)*log(2^(1/2)*(4 + 4i) + exp(b*c*x)*exp(a*c)*8i)*(1 + 1i) + 4*exp(a*c + b*c*x)*atan((exp(2*b*c*x)*exp(2*a*c) - 1)/(exp(2*b*c*x)*exp(2*a*c) + 1)))/(4*b*c)","B"
150,1,164,180,1.655952,"\text{Not used}","int(exp(c*(a + b*x))*atan(coth(a*c + b*c*x)),x)","\frac{4\,{\mathrm{e}}^{a\,c+b\,c\,x}\,\mathrm{atan}\left(\frac{{\mathrm{e}}^{2\,b\,c\,x}\,{\mathrm{e}}^{2\,a\,c}+1}{{\mathrm{e}}^{2\,b\,c\,x}\,{\mathrm{e}}^{2\,a\,c}-1}\right)+\sqrt{2}\,\ln\left(\sqrt{2}\,\left(-4-4{}\mathrm{i}\right)-{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}\,8{}\mathrm{i}\right)\,\left(-1-\mathrm{i}\right)+\sqrt{2}\,\ln\left(\sqrt{2}\,\left(-4+4{}\mathrm{i}\right)+{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}\,8{}\mathrm{i}\right)\,\left(-1+1{}\mathrm{i}\right)+\sqrt{2}\,\ln\left(\sqrt{2}\,\left(4-4{}\mathrm{i}\right)+{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}\,8{}\mathrm{i}\right)\,\left(1-\mathrm{i}\right)+\sqrt{2}\,\ln\left(\sqrt{2}\,\left(4+4{}\mathrm{i}\right)-{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}\,8{}\mathrm{i}\right)\,\left(1+1{}\mathrm{i}\right)}{4\,b\,c}","Not used",1,"(2^(1/2)*log(2^(1/2)*(4 - 4i) + exp(b*c*x)*exp(a*c)*8i)*(1 - 1i) - 2^(1/2)*log(exp(b*c*x)*exp(a*c)*8i - 2^(1/2)*(4 - 4i))*(1 - 1i) - 2^(1/2)*log(- 2^(1/2)*(4 + 4i) - exp(b*c*x)*exp(a*c)*8i)*(1 + 1i) + 2^(1/2)*log(2^(1/2)*(4 + 4i) - exp(b*c*x)*exp(a*c)*8i)*(1 + 1i) + 4*exp(a*c + b*c*x)*atan((exp(2*b*c*x)*exp(2*a*c) + 1)/(exp(2*b*c*x)*exp(2*a*c) - 1)))/(4*b*c)","B"
151,1,135,103,0.818964,"\text{Not used}","int(atan(1/cosh(a*c + b*c*x))*exp(c*(a + b*x)),x)","\frac{{\mathrm{e}}^{a\,c+b\,c\,x}\,\mathrm{atan}\left(\frac{1}{\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}}{2}+\frac{{\mathrm{e}}^{-b\,c\,x}\,{\mathrm{e}}^{-a\,c}}{2}}\right)}{b\,c}+\frac{\ln\left(8\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}-2\,\sqrt{2}-6\,\sqrt{2}\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}\right)\,\left(\sqrt{2}+1\right)}{2\,b\,c}-\frac{\ln\left(8\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}+2\,\sqrt{2}+6\,\sqrt{2}\,{\mathrm{e}}^{2\,c\,\left(a+b\,x\right)}\right)\,\left(\sqrt{2}-1\right)}{2\,b\,c}","Not used",1,"(exp(a*c + b*c*x)*atan(1/((exp(b*c*x)*exp(a*c))/2 + (exp(-b*c*x)*exp(-a*c))/2)))/(b*c) + (log(8*exp(2*c*(a + b*x)) - 2*2^(1/2) - 6*2^(1/2)*exp(2*c*(a + b*x)))*(2^(1/2) + 1))/(2*b*c) - (log(8*exp(2*c*(a + b*x)) + 2*2^(1/2) + 6*2^(1/2)*exp(2*c*(a + b*x)))*(2^(1/2) - 1))/(2*b*c)","B"
152,1,67,47,0.696603,"\text{Not used}","int(atan(1/sinh(a*c + b*c*x))*exp(c*(a + b*x)),x)","\frac{\ln\left({\mathrm{e}}^{2\,b\,c\,x}\,{\mathrm{e}}^{2\,a\,c}+1\right)}{b\,c}+\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}\,\mathrm{atan}\left(\frac{1}{\frac{{\mathrm{e}}^{b\,c\,x}\,{\mathrm{e}}^{a\,c}}{2}-\frac{{\mathrm{e}}^{-b\,c\,x}\,{\mathrm{e}}^{-a\,c}}{2}}\right)}{b\,c}","Not used",1,"log(exp(2*b*c*x)*exp(2*a*c) + 1)/(b*c) + (exp(b*c*x)*exp(a*c)*atan(1/((exp(b*c*x)*exp(a*c))/2 - (exp(-b*c*x)*exp(-a*c))/2)))/(b*c)","B"
153,0,-1,163,0.000000,"\text{Not used}","int(((a + b*atan(c*x^n))*(d + e*log(f*x^m)))/x,x)","\int \frac{\left(a+b\,\mathrm{atan}\left(c\,x^n\right)\right)\,\left(d+e\,\ln\left(f\,x^m\right)\right)}{x} \,d x","Not used",1,"int(((a + b*atan(c*x^n))*(d + e*log(f*x^m)))/x, x)","F"