1,1,12,0,0.057885," ","integrate(x**n,x)","\begin{cases} \frac{x^{n + 1}}{n + 1} & \text{for}\: n \neq -1 \\\log{\left(x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x**(n + 1)/(n + 1), Ne(n, -1)), (log(x), True))","A",0
2,1,2,0,0.036704," ","integrate(exp(x),x)","e^{x}"," ",0,"exp(x)","A",0
3,1,2,0,0.055108," ","integrate(1/x,x)","\log{\left(x \right)}"," ",0,"log(x)","A",0
4,1,8,0,0.085962," ","integrate(a**x,x)","\begin{cases} \frac{a^{x}}{\log{\left(a \right)}} & \text{for}\: \log{\left(a \right)} \neq 0 \\x & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**x/log(a), Ne(log(a), 0)), (x, True))","A",0
5,1,3,0,0.058540," ","integrate(sin(x),x)","- \cos{\left(x \right)}"," ",0,"-cos(x)","A",0
6,1,2,0,0.057973," ","integrate(cos(x),x)","\sin{\left(x \right)}"," ",0,"sin(x)","A",0
7,1,5,0,0.064174," ","integrate(sec(x)**2,x)","\frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}"," ",0,"sin(x)/cos(x)","B",0
8,1,7,0,0.066431," ","integrate(csc(x)**2,x)","- \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}}"," ",0,"-cos(x)/sin(x)","B",0
9,1,3,0,0.066852," ","integrate(sec(x)*tan(x),x)","\frac{1}{\cos{\left(x \right)}}"," ",0,"1/cos(x)","A",0
10,1,5,0,0.068199," ","integrate(cot(x)*csc(x),x)","- \frac{1}{\sin{\left(x \right)}}"," ",0,"-1/sin(x)","A",0
11,1,2,0,0.124911," ","integrate(sinh(x),x)","\cosh{\left(x \right)}"," ",0,"cosh(x)","A",0
12,1,2,0,0.125240," ","integrate(cosh(x),x)","\sinh{\left(x \right)}"," ",0,"sinh(x)","A",0
13,1,5,0,0.063195," ","integrate(tan(x),x)","- \log{\left(\cos{\left(x \right)} \right)}"," ",0,"-log(cos(x))","A",0
14,1,3,0,0.064932," ","integrate(cot(x),x)","\log{\left(\sin{\left(x \right)} \right)}"," ",0,"log(sin(x))","A",0
15,1,7,0,0.177499," ","integrate(x*sin(x),x)","- x \cos{\left(x \right)} + \sin{\left(x \right)}"," ",0,"-x*cos(x) + sin(x)","A",0
16,1,5,0,0.079051," ","integrate(ln(x),x)","x \log{\left(x \right)} - x"," ",0,"x*log(x) - x","A",0
17,1,10,0,0.085598," ","integrate(exp(x)*x**2,x)","\left(x^{2} - 2 x + 2\right) e^{x}"," ",0,"(x**2 - 2*x + 2)*exp(x)","A",0
18,1,15,0,0.300850," ","integrate(exp(x)*sin(x),x)","\frac{e^{x} \sin{\left(x \right)}}{2} - \frac{e^{x} \cos{\left(x \right)}}{2}"," ",0,"exp(x)*sin(x)/2 - exp(x)*cos(x)/2","A",0
19,1,12,0,0.196723," ","integrate(atan(x),x)","x \operatorname{atan}{\left(x \right)} - \frac{\log{\left(x^{2} + 1 \right)}}{2}"," ",0,"x*atan(x) - log(x**2 + 1)/2","A",0
20,1,10,0,0.084118," ","integrate(exp(2*x)*x,x)","\frac{\left(2 x - 1\right) e^{2 x}}{4}"," ",0,"(2*x - 1)*exp(2*x)/4","A",0
21,1,7,0,0.178412," ","integrate(x*cos(x),x)","x \sin{\left(x \right)} + \cos{\left(x \right)}"," ",0,"x*sin(x) + cos(x)","A",0
22,1,14,0,0.186100," ","integrate(x*sin(4*x),x)","- \frac{x \cos{\left(4 x \right)}}{4} + \frac{\sin{\left(4 x \right)}}{16}"," ",0,"-x*cos(4*x)/4 + sin(4*x)/16","A",0
23,1,12,0,0.085638," ","integrate(x*ln(x),x)","\frac{x^{2} \log{\left(x \right)}}{2} - \frac{x^{2}}{4}"," ",0,"x**2*log(x)/2 - x**2/4","A",0
24,1,27,0,0.332890," ","integrate(x**2*cos(3*x),x)","\frac{x^{2} \sin{\left(3 x \right)}}{3} + \frac{2 x \cos{\left(3 x \right)}}{9} - \frac{2 \sin{\left(3 x \right)}}{27}"," ",0,"x**2*sin(3*x)/3 + 2*x*cos(3*x)/9 - 2*sin(3*x)/27","A",0
25,1,24,0,0.325400," ","integrate(x**2*sin(2*x),x)","- \frac{x^{2} \cos{\left(2 x \right)}}{2} + \frac{x \sin{\left(2 x \right)}}{2} + \frac{\cos{\left(2 x \right)}}{4}"," ",0,"-x**2*cos(2*x)/2 + x*sin(2*x)/2 + cos(2*x)/4","A",0
26,1,15,0,0.091383," ","integrate(ln(x)**2,x)","x \log{\left(x \right)}^{2} - 2 x \log{\left(x \right)} + 2 x"," ",0,"x*log(x)**2 - 2*x*log(x) + 2*x","A",0
27,1,12,0,0.131515," ","integrate(asin(x),x)","x \operatorname{asin}{\left(x \right)} + \sqrt{1 - x^{2}}"," ",0,"x*asin(x) + sqrt(1 - x**2)","A",0
28,1,24,0,0.334709," ","integrate(t*cos(t)*sin(t),t)","\frac{t \sin^{2}{\left(t \right)}}{4} - \frac{t \cos^{2}{\left(t \right)}}{4} + \frac{\sin{\left(t \right)} \cos{\left(t \right)}}{4}"," ",0,"t*sin(t)**2/4 - t*cos(t)**2/4 + sin(t)*cos(t)/4","A",0
29,0,0,0,0.000000," ","integrate(t*sec(t)**2,t)","\int t \sec^{2}{\left(t \right)}\, dt"," ",0,"Integral(t*sec(t)**2, t)","F",0
30,1,12,0,0.087815," ","integrate(t**2*ln(t),t)","\frac{t^{3} \log{\left(t \right)}}{3} - \frac{t^{3}}{9}"," ",0,"t**3*log(t)/3 - t**3/9","A",0
31,1,15,0,0.085364," ","integrate(exp(t)*t**3,t)","\left(t^{3} - 3 t^{2} + 6 t - 6\right) e^{t}"," ",0,"(t**3 - 3*t**2 + 6*t - 6)*exp(t)","A",0
32,1,26,0,0.306041," ","integrate(exp(2*t)*sin(3*t),t)","\frac{2 e^{2 t} \sin{\left(3 t \right)}}{13} - \frac{3 e^{2 t} \cos{\left(3 t \right)}}{13}"," ",0,"2*exp(2*t)*sin(3*t)/13 - 3*exp(2*t)*cos(3*t)/13","A",0
33,1,20,0,0.453651," ","integrate(cos(3*t)/exp(t),t)","\frac{3 e^{- t} \sin{\left(3 t \right)}}{10} - \frac{e^{- t} \cos{\left(3 t \right)}}{10}"," ",0,"3*exp(-t)*sin(3*t)/10 - exp(-t)*cos(3*t)/10","A",0
34,1,7,0,0.187630," ","integrate(y*sinh(y),y)","y \cosh{\left(y \right)} - \sinh{\left(y \right)}"," ",0,"y*cosh(y) - sinh(y)","A",0
35,1,20,0,0.229998," ","integrate(y*cosh(a*y),y)","\begin{cases} \frac{y \sinh{\left(a y \right)}}{a} - \frac{\cosh{\left(a y \right)}}{a^{2}} & \text{for}\: a \neq 0 \\\frac{y^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((y*sinh(a*y)/a - cosh(a*y)/a**2, Ne(a, 0)), (y**2/2, True))","A",0
36,1,7,0,0.079346," ","integrate(t/exp(t),t)","\left(- t - 1\right) e^{- t}"," ",0,"(-t - 1)*exp(-t)","A",0
37,1,66,0,1.917400," ","integrate(ln(t)*t**(1/2),t)","\begin{cases} \frac{2 t^{\frac{3}{2}} \log{\left(t \right)}}{3} - \frac{4 t^{\frac{3}{2}}}{9} & \text{for}\: \left|{t}\right| < 1 \\- \frac{2 t^{\frac{3}{2}} \log{\left(\frac{1}{t} \right)}}{3} - \frac{4 t^{\frac{3}{2}}}{9} & \text{for}\: \frac{1}{\left|{t}\right|} < 1 \\- {G_{3, 3}^{2, 1}\left(\begin{matrix} 1 & \frac{5}{2}, \frac{5}{2} \\\frac{3}{2}, \frac{3}{2} & 0 \end{matrix} \middle| {t} \right)} + {G_{3, 3}^{0, 3}\left(\begin{matrix} \frac{5}{2}, \frac{5}{2}, 1 &  \\ & \frac{3}{2}, \frac{3}{2}, 0 \end{matrix} \middle| {t} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*t**(3/2)*log(t)/3 - 4*t**(3/2)/9, Abs(t) < 1), (-2*t**(3/2)*log(1/t)/3 - 4*t**(3/2)/9, 1/Abs(t) < 1), (-meijerg(((1,), (5/2, 5/2)), ((3/2, 3/2), (0,)), t) + meijerg(((5/2, 5/2, 1), ()), ((), (3/2, 3/2, 0)), t), True))","A",0
38,1,14,0,0.181515," ","integrate(x*cos(2*x),x)","\frac{x \sin{\left(2 x \right)}}{2} + \frac{\cos{\left(2 x \right)}}{4}"," ",0,"x*sin(2*x)/2 + cos(2*x)/4","A",0
39,1,12,0,0.085704," ","integrate(x**2/exp(x),x)","\left(- x^{2} - 2 x - 2\right) e^{- x}"," ",0,"(-x**2 - 2*x - 2)*exp(-x)","A",0
40,1,12,0,0.131652," ","integrate(acos(x),x)","x \operatorname{acos}{\left(x \right)} - \sqrt{1 - x^{2}}"," ",0,"x*acos(x) - sqrt(1 - x**2)","A",0
41,0,0,0,0.000000," ","integrate(x*csc(x)**2,x)","\int x \csc^{2}{\left(x \right)}\, dx"," ",0,"Integral(x*csc(x)**2, x)","F",0
42,1,26,0,0.518778," ","integrate(cos(5*x)*sin(3*x),x)","\frac{5 \sin{\left(3 x \right)} \sin{\left(5 x \right)}}{16} + \frac{3 \cos{\left(3 x \right)} \cos{\left(5 x \right)}}{16}"," ",0,"5*sin(3*x)*sin(5*x)/16 + 3*cos(3*x)*cos(5*x)/16","B",0
43,1,22,0,0.574048," ","integrate(sin(2*x)*sin(4*x),x)","- \frac{\sin{\left(2 x \right)} \cos{\left(4 x \right)}}{3} + \frac{\sin{\left(4 x \right)} \cos{\left(2 x \right)}}{6}"," ",0,"-sin(2*x)*cos(4*x)/3 + sin(4*x)*cos(2*x)/6","A",0
44,1,10,0,0.895339," ","integrate(cos(x)*ln(sin(x)),x)","\log{\left(\sin{\left(x \right)} \right)} \sin{\left(x \right)} - \sin{\left(x \right)}"," ",0,"log(sin(x))*sin(x) - sin(x)","A",0
45,1,10,0,0.086565," ","integrate(exp(x**2)*x**3,x)","\frac{\left(x^{2} - 1\right) e^{x^{2}}}{2}"," ",0,"(x**2 - 1)*exp(x**2)/2","A",0
46,1,7,0,0.081232," ","integrate(exp(x)*(3+2*x),x)","\left(2 x + 1\right) e^{x}"," ",0,"(2*x + 1)*exp(x)","A",0
47,1,14,0,0.095894," ","integrate(5**x*x,x)","\frac{5^{x} \left(x \log{\left(5 \right)} - 1\right)}{\log{\left(5 \right)}^{2}}"," ",0,"5**x*(x*log(5) - 1)/log(5)**2","A",0
48,1,15,0,0.414550," ","integrate(cos(ln(x)),x)","\frac{x \sin{\left(\log{\left(x \right)} \right)}}{2} + \frac{x \cos{\left(\log{\left(x \right)} \right)}}{2}"," ",0,"x*sin(log(x))/2 + x*cos(log(x))/2","A",0
49,1,20,0,0.254966," ","integrate(exp(x**(1/2)),x)","2 \sqrt{x} e^{\sqrt{x}} - 2 e^{\sqrt{x}}"," ",0,"2*sqrt(x)*exp(sqrt(x)) - 2*exp(sqrt(x))","A",0
50,1,8,0,0.108557," ","integrate(1/2*ln(x),x)","\frac{x \log{\left(x \right)}}{2} - \frac{x}{2}"," ",0,"x*log(x)/2 - x/2","A",0
51,1,15,0,0.534591," ","integrate(sin(ln(x)),x)","\frac{x \sin{\left(\log{\left(x \right)} \right)}}{2} - \frac{x \cos{\left(\log{\left(x \right)} \right)}}{2}"," ",0,"x*sin(log(x))/2 - x*cos(log(x))/2","A",0
52,1,20,0,0.308876," ","integrate(sin(x**(1/2)),x)","- 2 \sqrt{x} \cos{\left(\sqrt{x} \right)} + 2 \sin{\left(\sqrt{x} \right)}"," ",0,"-2*sqrt(x)*cos(sqrt(x)) + 2*sin(sqrt(x))","A",0
53,1,15,0,1.905327," ","integrate(x**5*cos(x**3),x)","\frac{x^{3} \sin{\left(x^{3} \right)}}{3} + \frac{\cos{\left(x^{3} \right)}}{3}"," ",0,"x**3*sin(x**3)/3 + cos(x**3)/3","A",0
54,1,15,0,0.090664," ","integrate(exp(x**2)*x**5,x)","\frac{\left(x^{4} - 2 x^{2} + 2\right) e^{x^{2}}}{2}"," ",0,"(x**4 - 2*x**2 + 2)*exp(x**2)/2","A",0
55,1,15,0,0.243857," ","integrate(x*atan(x),x)","\frac{x^{2} \operatorname{atan}{\left(x \right)}}{2} - \frac{x}{2} + \frac{\operatorname{atan}{\left(x \right)}}{2}"," ",0,"x**2*atan(x)/2 - x/2 + atan(x)/2","A",0
56,1,15,0,0.193567," ","integrate(x*cos(pi*x),x)","\frac{x \sin{\left(\pi x \right)}}{\pi} + \frac{\cos{\left(\pi x \right)}}{\pi^{2}}"," ",0,"x*sin(pi*x)/pi + cos(pi*x)/pi**2","A",0
57,1,66,0,1.938778," ","integrate(ln(x)*x**(1/2),x)","\begin{cases} \frac{2 x^{\frac{3}{2}} \log{\left(x \right)}}{3} - \frac{4 x^{\frac{3}{2}}}{9} & \text{for}\: \left|{x}\right| < 1 \\- \frac{2 x^{\frac{3}{2}} \log{\left(\frac{1}{x} \right)}}{3} - \frac{4 x^{\frac{3}{2}}}{9} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- {G_{3, 3}^{2, 1}\left(\begin{matrix} 1 & \frac{5}{2}, \frac{5}{2} \\\frac{3}{2}, \frac{3}{2} & 0 \end{matrix} \middle| {x} \right)} + {G_{3, 3}^{0, 3}\left(\begin{matrix} \frac{5}{2}, \frac{5}{2}, 1 &  \\ & \frac{3}{2}, \frac{3}{2}, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*x**(3/2)*log(x)/3 - 4*x**(3/2)/9, Abs(x) < 1), (-2*x**(3/2)*log(1/x)/3 - 4*x**(3/2)/9, 1/Abs(x) < 1), (-meijerg(((1,), (5/2, 5/2)), ((3/2, 3/2), (0,)), x) + meijerg(((5/2, 5/2, 1), ()), ((), (3/2, 3/2, 0)), x), True))","A",0
58,1,14,0,0.066315," ","integrate(sin(3*x)**2,x)","\frac{x}{2} - \frac{\sin{\left(3 x \right)} \cos{\left(3 x \right)}}{6}"," ",0,"x/2 - sin(3*x)*cos(3*x)/6","A",0
59,1,10,0,0.061150," ","integrate(cos(x)**2,x)","\frac{x}{2} + \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{2}"," ",0,"x/2 + sin(x)*cos(x)/2","A",0
60,1,24,0,0.063439," ","integrate(cos(x)**4,x)","\frac{3 x}{8} + \frac{\sin{\left(x \right)} \cos^{3}{\left(x \right)}}{4} + \frac{3 \sin{\left(x \right)} \cos{\left(x \right)}}{8}"," ",0,"3*x/8 + sin(x)*cos(x)**3/4 + 3*sin(x)*cos(x)/8","A",0
61,1,8,0,0.065731," ","integrate(sin(x)**3,x)","\frac{\cos^{3}{\left(x \right)}}{3} - \cos{\left(x \right)}"," ",0,"cos(x)**3/3 - cos(x)","A",0
62,1,12,0,0.066664," ","integrate(cos(x)**4*sin(x)**3,x)","\frac{\cos^{7}{\left(x \right)}}{7} - \frac{\cos^{5}{\left(x \right)}}{5}"," ",0,"cos(x)**7/7 - cos(x)**5/5","A",0
63,1,12,0,0.066007," ","integrate(cos(x)**3*sin(x)**4,x)","- \frac{\sin^{7}{\left(x \right)}}{7} + \frac{\sin^{5}{\left(x \right)}}{5}"," ",0,"-sin(x)**7/7 + sin(x)**5/5","A",0
64,1,31,0,0.063451," ","integrate(cos(x)**2*sin(x)**4,x)","\frac{x}{16} + \frac{\sin^{5}{\left(x \right)} \cos{\left(x \right)}}{6} - \frac{\sin^{3}{\left(x \right)} \cos{\left(x \right)}}{24} - \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{16}"," ",0,"x/16 + sin(x)**5*cos(x)/6 - sin(x)**3*cos(x)/24 - sin(x)*cos(x)/16","A",0
65,1,14,0,0.070095," ","integrate(cos(x)**2*sin(x)**2,x)","\frac{x}{8} - \frac{\sin{\left(2 x \right)} \cos{\left(2 x \right)}}{16}"," ",0,"x/8 - sin(2*x)*cos(2*x)/16","A",0
66,1,37,0,0.201570," ","integrate((1-sin(2*x))**2,x)","\frac{x \sin^{2}{\left(2 x \right)}}{2} + \frac{x \cos^{2}{\left(2 x \right)}}{2} + x - \frac{\sin{\left(2 x \right)} \cos{\left(2 x \right)}}{4} + \cos{\left(2 x \right)}"," ",0,"x*sin(2*x)**2/2 + x*cos(2*x)**2/2 + x - sin(2*x)*cos(2*x)/4 + cos(2*x)","A",0
67,1,37,0,0.564503," ","integrate(cos(x)*sin(1/6*pi+x),x)","- \frac{x \sin{\left(x \right)} \cos{\left(x + \frac{\pi}{6} \right)}}{2} + \frac{x \sin{\left(x + \frac{\pi}{6} \right)} \cos{\left(x \right)}}{2} - \frac{\cos{\left(x \right)} \cos{\left(x + \frac{\pi}{6} \right)}}{2}"," ",0,"-x*sin(x)*cos(x + pi/6)/2 + x*sin(x + pi/6)*cos(x)/2 - cos(x)*cos(x + pi/6)/2","B",0
68,1,19,0,0.070403," ","integrate(cos(x)**5*sin(x)**5,x)","\frac{\sin^{10}{\left(x \right)}}{10} - \frac{\sin^{8}{\left(x \right)}}{4} + \frac{\sin^{6}{\left(x \right)}}{6}"," ",0,"sin(x)**10/10 - sin(x)**8/4 + sin(x)**6/6","A",0
69,1,36,0,0.063823," ","integrate(sin(x)**6,x)","\frac{5 x}{16} - \frac{\sin^{5}{\left(x \right)} \cos{\left(x \right)}}{6} - \frac{5 \sin^{3}{\left(x \right)} \cos{\left(x \right)}}{24} - \frac{5 \sin{\left(x \right)} \cos{\left(x \right)}}{16}"," ",0,"5*x/16 - sin(x)**5*cos(x)/6 - 5*sin(x)**3*cos(x)/24 - 5*sin(x)*cos(x)/16","A",0
70,1,36,0,0.063479," ","integrate(cos(x)**6,x)","\frac{5 x}{16} + \frac{\sin{\left(x \right)} \cos^{5}{\left(x \right)}}{6} + \frac{5 \sin{\left(x \right)} \cos^{3}{\left(x \right)}}{24} + \frac{5 \sin{\left(x \right)} \cos{\left(x \right)}}{16}"," ",0,"5*x/16 + sin(x)*cos(x)**5/6 + 5*sin(x)*cos(x)**3/24 + 5*sin(x)*cos(x)/16","A",0
71,1,41,0,0.067433," ","integrate(cos(2*x)**4*sin(2*x)**2,x)","\frac{x}{16} - \frac{\sin{\left(2 x \right)} \cos^{5}{\left(2 x \right)}}{12} + \frac{\sin{\left(2 x \right)} \cos^{3}{\left(2 x \right)}}{48} + \frac{\sin{\left(2 x \right)} \cos{\left(2 x \right)}}{32}"," ",0,"x/16 - sin(2*x)*cos(2*x)**5/12 + sin(2*x)*cos(2*x)**3/48 + sin(2*x)*cos(2*x)/32","A",0
72,1,17,0,0.069598," ","integrate(sin(x)**5,x)","- \frac{\cos^{5}{\left(x \right)}}{5} + \frac{2 \cos^{3}{\left(x \right)}}{3} - \cos{\left(x \right)}"," ",0,"-cos(x)**5/5 + 2*cos(x)**3/3 - cos(x)","A",0
73,1,31,0,0.072467," ","integrate(cos(x)**4*sin(x)**4,x)","\frac{3 x}{128} - \frac{\sin^{3}{\left(2 x \right)} \cos{\left(2 x \right)}}{128} - \frac{3 \sin{\left(2 x \right)} \cos{\left(2 x \right)}}{256}"," ",0,"3*x/128 - sin(2*x)**3*cos(2*x)/128 - 3*sin(2*x)*cos(2*x)/256","A",0
74,-1,0,0,0.000000," ","integrate(sin(x)**3*cos(x)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,1,167,0,27.121191," ","integrate(cos(x)**3*sin(x)**(1/2),x)","\frac{28 \sqrt{2} \sqrt{\frac{1}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}} \tan^{\frac{11}{2}}{\left(\frac{x}{2} \right)}}{21 \tan^{6}{\left(\frac{x}{2} \right)} + 63 \tan^{4}{\left(\frac{x}{2} \right)} + 63 \tan^{2}{\left(\frac{x}{2} \right)} + 21} + \frac{8 \sqrt{2} \sqrt{\frac{1}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}} \tan^{\frac{7}{2}}{\left(\frac{x}{2} \right)}}{21 \tan^{6}{\left(\frac{x}{2} \right)} + 63 \tan^{4}{\left(\frac{x}{2} \right)} + 63 \tan^{2}{\left(\frac{x}{2} \right)} + 21} + \frac{28 \sqrt{2} \sqrt{\frac{1}{\tan^{2}{\left(\frac{x}{2} \right)} + 1}} \tan^{\frac{3}{2}}{\left(\frac{x}{2} \right)}}{21 \tan^{6}{\left(\frac{x}{2} \right)} + 63 \tan^{4}{\left(\frac{x}{2} \right)} + 63 \tan^{2}{\left(\frac{x}{2} \right)} + 21}"," ",0,"28*sqrt(2)*sqrt(1/(tan(x/2)**2 + 1))*tan(x/2)**(11/2)/(21*tan(x/2)**6 + 63*tan(x/2)**4 + 63*tan(x/2)**2 + 21) + 8*sqrt(2)*sqrt(1/(tan(x/2)**2 + 1))*tan(x/2)**(7/2)/(21*tan(x/2)**6 + 63*tan(x/2)**4 + 63*tan(x/2)**2 + 21) + 28*sqrt(2)*sqrt(1/(tan(x/2)**2 + 1))*tan(x/2)**(3/2)/(21*tan(x/2)**6 + 63*tan(x/2)**4 + 63*tan(x/2)**2 + 21)","B",0
76,1,39,0,0.361159," ","integrate(cos(x**(1/2))**2/x**(1/2),x)","\sqrt{x} \sin^{2}{\left(\sqrt{x} \right)} + \sqrt{x} \cos^{2}{\left(\sqrt{x} \right)} + \sin{\left(\sqrt{x} \right)} \cos{\left(\sqrt{x} \right)}"," ",0,"sqrt(x)*sin(sqrt(x))**2 + sqrt(x)*cos(sqrt(x))**2 + sin(sqrt(x))*cos(sqrt(x))","B",0
77,1,22,0,0.619847," ","integrate(x*sin(x**2)**3,x)","- \frac{\sin^{2}{\left(x^{2} \right)} \cos{\left(x^{2} \right)}}{2} - \frac{\cos^{3}{\left(x^{2} \right)}}{3}"," ",0,"-sin(x**2)**2*cos(x**2)/2 - cos(x**2)**3/3","A",0
78,1,10,0,0.089525," ","integrate(cos(x)**2*tan(x)**3,x)","- \log{\left(\cos{\left(x \right)} \right)} + \frac{\cos^{2}{\left(x \right)}}{2}"," ",0,"-log(cos(x)) + cos(x)**2/2","A",0
79,1,20,0,0.102668," ","integrate(cot(x)**5*sin(x)**2,x)","- 2 \log{\left(\sin{\left(x \right)} \right)} + \frac{\sin^{2}{\left(x \right)}}{2} - \frac{1}{2 \sin^{2}{\left(x \right)}}"," ",0,"-2*log(sin(x)) + sin(x)**2/2 - 1/(2*sin(x)**2)","A",0
80,1,19,0,0.334556," ","integrate((1-sin(x))/cos(x),x)","2 \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)} - \log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}"," ",0,"2*log(tan(x/2) + 1) - log(tan(x/2)**2 + 1)","B",0
81,1,8,0,0.385331," ","integrate(1/(1-sin(x)),x)","- \frac{2}{\tan{\left(\frac{x}{2} \right)} - 1}"," ",0,"-2/(tan(x/2) - 1)","A",0
82,1,7,0,0.070300," ","integrate(tan(x)**2,x)","- x + \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}"," ",0,"-x + sin(x)/cos(x)","B",0
83,1,19,0,0.074482," ","integrate(tan(x)**4,x)","x + \frac{\sin^{3}{\left(x \right)}}{3 \cos^{3}{\left(x \right)}} - \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}"," ",0,"x + sin(x)**3/(3*cos(x)**3) - sin(x)/cos(x)","A",0
84,1,19,0,0.074804," ","integrate(sec(x)**4,x)","\frac{2 \sin{\left(x \right)}}{3 \cos{\left(x \right)}} + \frac{\sin{\left(x \right)}}{3 \cos^{3}{\left(x \right)}}"," ",0,"2*sin(x)/(3*cos(x)) + sin(x)/(3*cos(x)**3)","B",0
85,1,31,0,0.070359," ","integrate(sec(x)**6,x)","\frac{8 \sin{\left(x \right)}}{15 \cos{\left(x \right)}} + \frac{4 \sin{\left(x \right)}}{15 \cos^{3}{\left(x \right)}} + \frac{\sin{\left(x \right)}}{5 \cos^{5}{\left(x \right)}}"," ",0,"8*sin(x)/(15*cos(x)) + 4*sin(x)/(15*cos(x)**3) + sin(x)/(5*cos(x)**5)","A",0
86,1,29,0,0.072682," ","integrate(sec(x)**2*tan(x)**4,x)","\frac{\sin{\left(x \right)}}{5 \cos{\left(x \right)}} - \frac{2 \sin{\left(x \right)}}{5 \cos^{3}{\left(x \right)}} + \frac{\sin{\left(x \right)}}{5 \cos^{5}{\left(x \right)}}"," ",0,"sin(x)/(5*cos(x)) - 2*sin(x)/(5*cos(x)**3) + sin(x)/(5*cos(x)**5)","B",0
87,1,29,0,0.070329," ","integrate(sec(x)**4*tan(x)**2,x)","- \frac{2 \sin{\left(x \right)}}{15 \cos{\left(x \right)}} - \frac{\sin{\left(x \right)}}{15 \cos^{3}{\left(x \right)}} + \frac{\sin{\left(x \right)}}{5 \cos^{5}{\left(x \right)}}"," ",0,"-2*sin(x)/(15*cos(x)) - sin(x)/(15*cos(x)**3) + sin(x)/(5*cos(x)**5)","B",0
88,1,7,0,0.071901," ","integrate(sec(x)**3*tan(x),x)","\frac{1}{3 \cos^{3}{\left(x \right)}}"," ",0,"1/(3*cos(x)**3)","A",0
89,1,14,0,0.105281," ","integrate(sec(x)**3*tan(x)**3,x)","\frac{3 - 5 \cos^{2}{\left(x \right)}}{15 \cos^{5}{\left(x \right)}}"," ",0,"(3 - 5*cos(x)**2)/(15*cos(x)**5)","A",0
90,1,20,0,0.113727," ","integrate(tan(x)**5,x)","- \frac{4 \cos^{2}{\left(x \right)} - 1}{4 \cos^{4}{\left(x \right)}} - \log{\left(\cos{\left(x \right)} \right)}"," ",0,"-(4*cos(x)**2 - 1)/(4*cos(x)**4) - log(cos(x))","A",0
91,1,31,0,0.077491," ","integrate(tan(x)**6,x)","- x + \frac{\sin^{5}{\left(x \right)}}{5 \cos^{5}{\left(x \right)}} - \frac{\sin^{3}{\left(x \right)}}{3 \cos^{3}{\left(x \right)}} + \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}"," ",0,"-x + sin(x)**5/(5*cos(x)**5) - sin(x)**3/(3*cos(x)**3) + sin(x)/cos(x)","A",0
92,1,22,0,0.114552," ","integrate(sec(x)*tan(x)**5,x)","- \frac{- 15 \cos^{4}{\left(x \right)} + 10 \cos^{2}{\left(x \right)} - 3}{15 \cos^{5}{\left(x \right)}}"," ",0,"-(-15*cos(x)**4 + 10*cos(x)**2 - 3)/(15*cos(x)**5)","A",0
93,1,22,0,0.124406," ","integrate(sec(x)**3*tan(x)**5,x)","- \frac{- 35 \cos^{4}{\left(x \right)} + 42 \cos^{2}{\left(x \right)} - 15}{105 \cos^{7}{\left(x \right)}}"," ",0,"-(-35*cos(x)**4 + 42*cos(x)**2 - 15)/(105*cos(x)**7)","A",0
94,1,7,0,0.073560," ","integrate(sec(x)**6*tan(x),x)","\frac{1}{6 \cos^{6}{\left(x \right)}}"," ",0,"1/(6*cos(x)**6)","A",0
95,1,14,0,0.116054," ","integrate(sec(x)**6*tan(x)**3,x)","\frac{3 - 4 \cos^{2}{\left(x \right)}}{24 \cos^{8}{\left(x \right)}}"," ",0,"(3 - 4*cos(x)**2)/(24*cos(x)**8)","A",0
96,1,7,0,0.075644," ","integrate(sec(x)**2/cot(x),x)","\frac{1}{2 \cos^{2}{\left(x \right)}}"," ",0,"1/(2*cos(x)**2)","A",0
97,1,27,0,0.127455," ","integrate(sec(x)*tan(x)**2,x)","\frac{\log{\left(\sin{\left(x \right)} - 1 \right)}}{4} - \frac{\log{\left(\sin{\left(x \right)} + 1 \right)}}{4} - \frac{\sin{\left(x \right)}}{2 \sin^{2}{\left(x \right)} - 2}"," ",0,"log(sin(x) - 1)/4 - log(sin(x) + 1)/4 - sin(x)/(2*sin(x)**2 - 2)","A",0
98,1,8,0,0.073475," ","integrate(cot(x)**2,x)","- x - \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}}"," ",0,"-x - cos(x)/sin(x)","A",0
99,1,14,0,0.101327," ","integrate(cot(x)**3,x)","- \log{\left(\sin{\left(x \right)} \right)} - \frac{1}{2 \sin^{2}{\left(x \right)}}"," ",0,"-log(sin(x)) - 1/(2*sin(x)**2)","A",0
100,1,41,0,0.075844," ","integrate(cot(x)**4*csc(x)**4,x)","- \frac{2 \cos{\left(x \right)}}{35 \sin{\left(x \right)}} - \frac{\cos{\left(x \right)}}{35 \sin^{3}{\left(x \right)}} + \frac{8 \cos{\left(x \right)}}{35 \sin^{5}{\left(x \right)}} - \frac{\cos{\left(x \right)}}{7 \sin^{7}{\left(x \right)}}"," ",0,"-2*cos(x)/(35*sin(x)) - cos(x)/(35*sin(x)**3) + 8*cos(x)/(35*sin(x)**5) - cos(x)/(7*sin(x)**7)","B",0
101,1,15,0,0.112140," ","integrate(cot(x)**3*csc(x)**4,x)","- \frac{2 - 3 \sin^{2}{\left(x \right)}}{12 \sin^{6}{\left(x \right)}}"," ",0,"-(2 - 3*sin(x)**2)/(12*sin(x)**6)","A",0
102,1,15,0,0.110904," ","integrate(csc(x),x)","\frac{\log{\left(\cos{\left(x \right)} - 1 \right)}}{2} - \frac{\log{\left(\cos{\left(x \right)} + 1 \right)}}{2}"," ",0,"log(cos(x) - 1)/2 - log(cos(x) + 1)/2","B",0
103,1,27,0,0.133745," ","integrate(csc(x)**3,x)","\frac{\log{\left(\cos{\left(x \right)} - 1 \right)}}{4} - \frac{\log{\left(\cos{\left(x \right)} + 1 \right)}}{4} + \frac{\cos{\left(x \right)}}{2 \cos^{2}{\left(x \right)} - 2}"," ",0,"log(cos(x) - 1)/4 - log(cos(x) + 1)/4 + cos(x)/(2*cos(x)**2 - 2)","A",0
104,1,19,0,0.108388," ","integrate(cos(x)**2/sin(x),x)","\frac{\log{\left(\cos{\left(x \right)} - 1 \right)}}{2} - \frac{\log{\left(\cos{\left(x \right)} + 1 \right)}}{2} + \cos{\left(x \right)}"," ",0,"log(cos(x) - 1)/2 - log(cos(x) + 1)/2 + cos(x)","B",0
105,1,20,0,0.064172," ","integrate(1/sin(x)**4,x)","- \frac{2 \cos{\left(x \right)}}{3 \sin{\left(x \right)}} - \frac{\cos{\left(x \right)}}{3 \sin^{3}{\left(x \right)}}"," ",0,"-2*cos(x)/(3*sin(x)) - cos(x)/(3*sin(x)**3)","A",0
106,1,26,0,0.566045," ","integrate(sin(2*x)*sin(5*x),x)","- \frac{5 \sin{\left(2 x \right)} \cos{\left(5 x \right)}}{21} + \frac{2 \sin{\left(5 x \right)} \cos{\left(2 x \right)}}{21}"," ",0,"-5*sin(2*x)*cos(5*x)/21 + 2*sin(5*x)*cos(2*x)/21","B",0
107,1,22,0,0.539983," ","integrate(cos(x)*sin(3*x),x)","- \frac{\sin{\left(x \right)} \sin{\left(3 x \right)}}{8} - \frac{3 \cos{\left(x \right)} \cos{\left(3 x \right)}}{8}"," ",0,"-sin(x)*sin(3*x)/8 - 3*cos(x)*cos(3*x)/8","A",0
108,1,26,0,0.558099," ","integrate(cos(3*x)*cos(4*x),x)","- \frac{3 \sin{\left(3 x \right)} \cos{\left(4 x \right)}}{7} + \frac{4 \sin{\left(4 x \right)} \cos{\left(3 x \right)}}{7}"," ",0,"-3*sin(3*x)*cos(4*x)/7 + 4*sin(4*x)*cos(3*x)/7","B",0
109,1,24,0,0.606419," ","integrate(sin(3*x)*sin(6*x),x)","- \frac{2 \sin{\left(3 x \right)} \cos{\left(6 x \right)}}{9} + \frac{\sin{\left(6 x \right)} \cos{\left(3 x \right)}}{9}"," ",0,"-2*sin(3*x)*cos(6*x)/9 + sin(6*x)*cos(3*x)/9","A",0
110,1,7,0,0.066869," ","integrate(cos(x)**5*sin(x),x)","- \frac{\cos^{6}{\left(x \right)}}{6}"," ",0,"-cos(x)**6/6","A",0
111,1,112,0,13.533330," ","integrate(cos(x)*cos(2*x)*cos(3*x),x)","- \frac{x \sin{\left(x \right)} \sin{\left(2 x \right)} \cos{\left(3 x \right)}}{4} + \frac{x \sin{\left(x \right)} \sin{\left(3 x \right)} \cos{\left(2 x \right)}}{4} + \frac{x \sin{\left(2 x \right)} \sin{\left(3 x \right)} \cos{\left(x \right)}}{4} + \frac{x \cos{\left(x \right)} \cos{\left(2 x \right)} \cos{\left(3 x \right)}}{4} + \frac{\sin{\left(x \right)} \sin{\left(2 x \right)} \sin{\left(3 x \right)}}{24} - \frac{\sin{\left(2 x \right)} \cos{\left(x \right)} \cos{\left(3 x \right)}}{8} + \frac{\sin{\left(3 x \right)} \cos{\left(x \right)} \cos{\left(2 x \right)}}{3}"," ",0,"-x*sin(x)*sin(2*x)*cos(3*x)/4 + x*sin(x)*sin(3*x)*cos(2*x)/4 + x*sin(2*x)*sin(3*x)*cos(x)/4 + x*cos(x)*cos(2*x)*cos(3*x)/4 + sin(x)*sin(2*x)*sin(3*x)/24 - sin(2*x)*cos(x)*cos(3*x)/8 + sin(3*x)*cos(x)*cos(2*x)/3","B",0
112,1,7,0,0.435337," ","integrate((1-tan(x)**2)/sec(x)**2,x)","\frac{\tan{\left(x \right)}}{\sec^{2}{\left(x \right)}}"," ",0,"tan(x)/sec(x)**2","A",0
113,1,32,0,1.570733," ","integrate((cos(x)+sin(x))/sin(2*x),x)","- \frac{\log{\left(\sin{\left(x \right)} - 1 \right)}}{4} + \frac{\log{\left(\sin{\left(x \right)} + 1 \right)}}{4} + \frac{\log{\left(\cos{\left(x \right)} - 1 \right)}}{4} - \frac{\log{\left(\cos{\left(x \right)} + 1 \right)}}{4}"," ",0,"-log(sin(x) - 1)/4 + log(sin(x) + 1)/4 + log(cos(x) - 1)/4 - log(cos(x) + 1)/4","B",0
114,1,10,0,0.087207," ","integrate(sin(x)**2*tan(x),x)","- \log{\left(\cos{\left(x \right)} \right)} + \frac{\cos^{2}{\left(x \right)}}{2}"," ",0,"-log(cos(x)) + cos(x)**2/2","A",0
115,1,20,0,0.103020," ","integrate(cos(x)**2*cot(x)**3,x)","- 2 \log{\left(\sin{\left(x \right)} \right)} + \frac{\sin^{2}{\left(x \right)}}{2} - \frac{1}{2 \sin^{2}{\left(x \right)}}"," ",0,"-2*log(sin(x)) + sin(x)**2/2 - 1/(2*sin(x)**2)","A",0
116,1,7,0,0.073178," ","integrate(sec(x)**3*tan(x),x)","\frac{1}{3 \cos^{3}{\left(x \right)}}"," ",0,"1/(3*cos(x)**3)","A",0
117,1,14,0,0.105462," ","integrate(sec(x)**3*tan(x)**3,x)","\frac{3 - 5 \cos^{2}{\left(x \right)}}{15 \cos^{5}{\left(x \right)}}"," ",0,"(3 - 5*cos(x)**2)/(15*cos(x)**5)","A",0
118,1,15,0,0.258449," ","integrate((-x**2+9)**(1/2)/x**2,x)","- \operatorname{asin}{\left(\frac{x}{3} \right)} - \frac{\sqrt{9 - x^{2}}}{x}"," ",0,"-asin(x/3) - sqrt(9 - x**2)/x","A",0
119,1,12,0,0.778513," ","integrate(1/x**2/(x**2+4)**(1/2),x)","- \frac{\sqrt{1 + \frac{4}{x^{2}}}}{4}"," ",0,"-sqrt(1 + 4/x**2)/4","A",0
120,1,7,0,0.151585," ","integrate(x/(x**2+4)**(1/2),x)","\sqrt{x^{2} + 4}"," ",0,"sqrt(x**2 + 4)","A",0
121,1,19,0,1.083672," ","integrate(1/(-a**2+x**2)**(1/2),x)","\begin{cases} \operatorname{acosh}{\left(\frac{x}{a} \right)} & \text{for}\: \left|{\frac{x^{2}}{a^{2}}}\right| > 1 \\- i \operatorname{asin}{\left(\frac{x}{a} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((acosh(x/a), Abs(x**2/a**2) > 1), (-I*asin(x/a), True))","A",0
122,1,27,0,0.575556," ","integrate(x**3/(4*x**2+9)**(3/2),x)","\frac{x^{2}}{4 \sqrt{4 x^{2} + 9}} + \frac{9}{8 \sqrt{4 x^{2} + 9}}"," ",0,"x**2/(4*sqrt(4*x**2 + 9)) + 9/(8*sqrt(4*x**2 + 9))","A",0
123,0,0,0,0.000000," ","integrate(x/(-x**2-2*x+3)**(1/2),x)","\int \frac{x}{\sqrt{- \left(x - 1\right) \left(x + 3\right)}}\, dx"," ",0,"Integral(x/sqrt(-(x - 1)*(x + 3)), x)","F",0
124,1,27,0,0.796350," ","integrate(1/x**2/(-x**2+1)**(1/2),x)","\begin{cases} - \frac{i \sqrt{x^{2} - 1}}{x} & \text{for}\: \left|{x^{2}}\right| > 1 \\- \frac{\sqrt{1 - x^{2}}}{x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*sqrt(x**2 - 1)/x, Abs(x**2) > 1), (-sqrt(1 - x**2)/x, True))","A",0
125,1,39,0,0.641363," ","integrate(x**3*(-x**2+4)**(1/2),x)","\frac{x^{4} \sqrt{4 - x^{2}}}{5} - \frac{4 x^{2} \sqrt{4 - x^{2}}}{15} - \frac{32 \sqrt{4 - x^{2}}}{15}"," ",0,"x**4*sqrt(4 - x**2)/5 - 4*x**2*sqrt(4 - x**2)/15 - 32*sqrt(4 - x**2)/15","A",0
126,1,8,0,0.145081," ","integrate(x/(-x**2+1)**(1/2),x)","- \sqrt{1 - x^{2}}"," ",0,"-sqrt(1 - x**2)","A",0
127,1,24,0,0.205982," ","integrate(x*(-x**2+4)**(1/2),x)","\frac{x^{2} \sqrt{4 - x^{2}}}{3} - \frac{4 \sqrt{4 - x^{2}}}{3}"," ",0,"x**2*sqrt(4 - x**2)/3 - 4*sqrt(4 - x**2)/3","B",0
128,1,19,0,0.215751," ","integrate((-4*x**2+1)**(1/2),x)","\frac{x \sqrt{1 - 4 x^{2}}}{2} + \frac{\operatorname{asin}{\left(2 x \right)}}{4}"," ",0,"x*sqrt(1 - 4*x**2)/2 + asin(2*x)/4","A",0
129,1,24,0,0.370078," ","integrate(x**3/(x**2+4)**(1/2),x)","\frac{x^{2} \sqrt{x^{2} + 4}}{3} - \frac{8 \sqrt{x^{2} + 4}}{3}"," ",0,"x**2*sqrt(x**2 + 4)/3 - 8*sqrt(x**2 + 4)/3","A",0
130,1,3,0,0.149286," ","integrate(1/(x**2+9)**(1/2),x)","\operatorname{asinh}{\left(\frac{x}{3} \right)}"," ",0,"asinh(x/3)","A",0
131,1,15,0,0.211824," ","integrate((x**2+1)**(1/2),x)","\frac{x \sqrt{x^{2} + 1}}{2} + \frac{\operatorname{asinh}{\left(x \right)}}{2}"," ",0,"x*sqrt(x**2 + 1)/2 + asinh(x)/2","A",0
132,1,66,0,2.187497," ","integrate(1/x**3/(x**2-16)**(1/2),x)","\begin{cases} \frac{i \operatorname{acosh}{\left(\frac{4}{x} \right)}}{128} + \frac{i \sqrt{-1 + \frac{16}{x^{2}}}}{32 x} & \text{for}\: \frac{16}{\left|{x^{2}}\right|} > 1 \\- \frac{\operatorname{asin}{\left(\frac{4}{x} \right)}}{128} + \frac{1}{32 x \sqrt{1 - \frac{16}{x^{2}}}} - \frac{1}{2 x^{3} \sqrt{1 - \frac{16}{x^{2}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*acosh(4/x)/128 + I*sqrt(-1 + 16/x**2)/(32*x), 16/Abs(x**2) > 1), (-asin(4/x)/128 + 1/(32*x*sqrt(1 - 16/x**2)) - 1/(2*x**3*sqrt(1 - 16/x**2)), True))","A",0
133,1,76,0,0.757038," ","integrate((-a**2+x**2)**(1/2)/x**4,x)","\begin{cases} - \frac{i \sqrt{\frac{a^{2}}{x^{2}} - 1}}{3 x^{2}} + \frac{i \sqrt{\frac{a^{2}}{x^{2}} - 1}}{3 a^{2}} & \text{for}\: \left|{\frac{a^{2}}{x^{2}}}\right| > 1 \\- \frac{\sqrt{- \frac{a^{2}}{x^{2}} + 1}}{3 x^{2}} + \frac{\sqrt{- \frac{a^{2}}{x^{2}} + 1}}{3 a^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*sqrt(a**2/x**2 - 1)/(3*x**2) + I*sqrt(a**2/x**2 - 1)/(3*a**2), Abs(a**2/x**2) > 1), (-sqrt(-a**2/x**2 + 1)/(3*x**2) + sqrt(-a**2/x**2 + 1)/(3*a**2), True))","A",0
134,1,92,0,1.403462," ","integrate((9*x**2-4)**(1/2)/x,x)","\begin{cases} - \frac{3 i x}{\sqrt{-1 + \frac{4}{9 x^{2}}}} - 2 i \operatorname{acosh}{\left(\frac{2}{3 x} \right)} + \frac{4 i}{3 x \sqrt{-1 + \frac{4}{9 x^{2}}}} & \text{for}\: \frac{4}{9 \left|{x^{2}}\right|} > 1 \\\frac{3 x}{\sqrt{1 - \frac{4}{9 x^{2}}}} + 2 \operatorname{asin}{\left(\frac{2}{3 x} \right)} - \frac{4}{3 x \sqrt{1 - \frac{4}{9 x^{2}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*I*x/sqrt(-1 + 4/(9*x**2)) - 2*I*acosh(2/(3*x)) + 4*I/(3*x*sqrt(-1 + 4/(9*x**2))), 4/(9*Abs(x**2)) > 1), (3*x/sqrt(1 - 4/(9*x**2)) + 2*asin(2/(3*x)) - 4/(3*x*sqrt(1 - 4/(9*x**2))), True))","A",0
135,1,37,0,0.815272," ","integrate(1/x**2/(16*x**2-9)**(1/2),x)","\begin{cases} \frac{4 i \sqrt{-1 + \frac{9}{16 x^{2}}}}{9} & \text{for}\: \frac{9}{16 \left|{x^{2}}\right|} > 1 \\\frac{4 \sqrt{1 - \frac{9}{16 x^{2}}}}{9} & \text{otherwise} \end{cases}"," ",0,"Piecewise((4*I*sqrt(-1 + 9/(16*x**2))/9, 9/(16*Abs(x**2)) > 1), (4*sqrt(1 - 9/(16*x**2))/9, True))","A",0
136,1,49,0,1.681271," ","integrate(x**2/(a**2-x**2)**(3/2),x)","\begin{cases} i \operatorname{acosh}{\left(\frac{x}{a} \right)} - \frac{i x}{a \sqrt{-1 + \frac{x^{2}}{a^{2}}}} & \text{for}\: \left|{\frac{x^{2}}{a^{2}}}\right| > 1 \\- \operatorname{asin}{\left(\frac{x}{a} \right)} + \frac{x}{a \sqrt{1 - \frac{x^{2}}{a^{2}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*acosh(x/a) - I*x/(a*sqrt(-1 + x**2/a**2)), Abs(x**2/a**2) > 1), (-asin(x/a) + x/(a*sqrt(1 - x**2/a**2)), True))","A",0
137,1,24,0,0.226051," ","integrate(x**2/(-x**2+5)**(1/2),x)","- \frac{x \sqrt{5 - x^{2}}}{2} + \frac{5 \operatorname{asin}{\left(\frac{\sqrt{5} x}{5} \right)}}{2}"," ",0,"-x*sqrt(5 - x**2)/2 + 5*asin(sqrt(5)*x/5)/2","A",0
138,1,15,0,1.061764," ","integrate(1/x/(x**2+3)**(1/2),x)","- \frac{\sqrt{3} \operatorname{asinh}{\left(\frac{\sqrt{3}}{x} \right)}}{3}"," ",0,"-sqrt(3)*asinh(sqrt(3)/x)/3","A",0
139,1,26,0,2.236726," ","integrate(x/(x**2+4)**(5/2),x)","- \frac{1}{3 x^{2} \sqrt{x^{2} + 4} + 12 \sqrt{x^{2} + 4}}"," ",0,"-1/(3*x**2*sqrt(x**2 + 4) + 12*sqrt(x**2 + 4))","B",0
140,1,44,0,0.657114," ","integrate(x**3*(-9*x**2+4)**(1/2),x)","\frac{x^{4} \sqrt{4 - 9 x^{2}}}{5} - \frac{4 x^{2} \sqrt{4 - 9 x^{2}}}{135} - \frac{32 \sqrt{4 - 9 x^{2}}}{1215}"," ",0,"x**4*sqrt(4 - 9*x**2)/5 - 4*x**2*sqrt(4 - 9*x**2)/135 - 32*sqrt(4 - 9*x**2)/1215","A",0
141,1,112,0,2.815806," ","integrate(x**2*(-x**2+9)**(1/2),x)","\begin{cases} \frac{i x^{5}}{4 \sqrt{x^{2} - 9}} - \frac{27 i x^{3}}{8 \sqrt{x^{2} - 9}} + \frac{81 i x}{8 \sqrt{x^{2} - 9}} - \frac{81 i \operatorname{acosh}{\left(\frac{x}{3} \right)}}{8} & \text{for}\: \frac{\left|{x^{2}}\right|}{9} > 1 \\- \frac{x^{5}}{4 \sqrt{9 - x^{2}}} + \frac{27 x^{3}}{8 \sqrt{9 - x^{2}}} - \frac{81 x}{8 \sqrt{9 - x^{2}}} + \frac{81 \operatorname{asin}{\left(\frac{x}{3} \right)}}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*x**5/(4*sqrt(x**2 - 9)) - 27*I*x**3/(8*sqrt(x**2 - 9)) + 81*I*x/(8*sqrt(x**2 - 9)) - 81*I*acosh(x/3)/8, Abs(x**2)/9 > 1), (-x**5/(4*sqrt(9 - x**2)) + 27*x**3/(8*sqrt(9 - x**2)) - 81*x/(8*sqrt(9 - x**2)) + 81*asin(x/3)/8, True))","A",0
142,1,26,0,0.202836," ","integrate(5*x*(x**2+1)**(1/2),x)","\frac{5 x^{2} \sqrt{x^{2} + 1}}{3} + \frac{5 \sqrt{x^{2} + 1}}{3}"," ",0,"5*x**2*sqrt(x**2 + 1)/3 + 5*sqrt(x**2 + 1)/3","B",0
143,1,36,0,0.782922," ","integrate(1/(4*x**2-25)**(3/2),x)","\begin{cases} - \frac{x}{25 \sqrt{4 x^{2} - 25}} & \text{for}\: \frac{4 \left|{x^{2}}\right|}{25} > 1 \\\frac{i x}{25 \sqrt{25 - 4 x^{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x/(25*sqrt(4*x**2 - 25)), 4*Abs(x**2)/25 > 1), (I*x/(25*sqrt(25 - 4*x**2)), True))","A",0
144,0,0,0,0.000000," ","integrate((-x**2+2*x)**(1/2),x)","\int \sqrt{- x^{2} + 2 x}\, dx"," ",0,"Integral(sqrt(-x**2 + 2*x), x)","F",0
145,0,0,0,0.000000," ","integrate(1/(x**2+4*x+8)**(1/2),x)","\int \frac{1}{\sqrt{x^{2} + 4 x + 8}}\, dx"," ",0,"Integral(1/sqrt(x**2 + 4*x + 8), x)","F",0
146,0,0,0,0.000000," ","integrate(1/(9*x**2+6*x-8)**(1/2),x)","\int \frac{1}{\sqrt{9 x^{2} + 6 x - 8}}\, dx"," ",0,"Integral(1/sqrt(9*x**2 + 6*x - 8), x)","F",0
147,0,0,0,0.000000," ","integrate(x**2/(-x**2+4*x)**(1/2),x)","\int \frac{x^{2}}{\sqrt{- x \left(x - 4\right)}}\, dx"," ",0,"Integral(x**2/sqrt(-x*(x - 4)), x)","F",0
148,1,19,0,0.128579," ","integrate(1/(x**2+2*x+2)**2,x)","\frac{x + 1}{2 x^{2} + 4 x + 4} + \frac{\operatorname{atan}{\left(x + 1 \right)}}{2}"," ",0,"(x + 1)/(2*x**2 + 4*x + 4) + atan(x + 1)/2","A",0
149,0,0,0,0.000000," ","integrate(1/(-x**2-4*x+5)**(5/2),x)","\int \frac{1}{\left(- x^{2} - 4 x + 5\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((-x**2 - 4*x + 5)**(-5/2), x)","F",0
150,1,29,0,1.544631," ","integrate(exp(t)*(9-exp(2*t))**(1/2),t)","\begin{cases} \frac{\sqrt{9 - e^{2 t}} e^{t}}{2} + \frac{9 \operatorname{asin}{\left(\frac{e^{t}}{3} \right)}}{2} & \text{for}\: e^{t} < \log{\left(3 \right)} \end{cases}"," ",0,"Piecewise((sqrt(9 - exp(2*t))*exp(t)/2 + 9*asin(exp(t)/3)/2, exp(t) < log(3)))","A",0
151,1,22,0,1.492551," ","integrate((-9+exp(2*t))**(1/2),t)","\begin{cases} \sqrt{e^{2 t} - 9} - 3 \operatorname{acos}{\left(3 e^{- t} \right)} & \text{for}\: e^{t} < \log{\left(3 \right)} \end{cases}"," ",0,"Piecewise((sqrt(exp(2*t) - 9) - 3*acos(3*exp(-t)), exp(t) < log(3)))","A",0
152,1,3,0,1.029038," ","integrate(1/(a**2+x**2)**(1/2),x)","\operatorname{asinh}{\left(\frac{x}{a} \right)}"," ",0,"asinh(x/a)","A",0
153,1,10,0,0.103399," ","integrate((5+x)/(x**2+x-2),x)","2 \log{\left(x - 1 \right)} - \log{\left(x + 2 \right)}"," ",0,"2*log(x - 1) - log(x + 2)","A",0
154,1,19,0,0.078295," ","integrate((x**3+x)/(-1+x),x)","\frac{x^{3}}{3} + \frac{x^{2}}{2} + 2 x + 2 \log{\left(x - 1 \right)}"," ",0,"x**3/3 + x**2/2 + 2*x + 2*log(x - 1)","A",0
155,1,19,0,0.147039," ","integrate((x**2+2*x-1)/(2*x**3+3*x**2-2*x),x)","\frac{\log{\left(x \right)}}{2} + \frac{\log{\left(x - \frac{1}{2} \right)}}{10} - \frac{\log{\left(x + 2 \right)}}{10}"," ",0,"log(x)/2 + log(x - 1/2)/10 - log(x + 2)/10","A",0
156,1,20,0,0.102314," ","integrate((x**4-2*x**2+4*x+1)/(x**3-x**2-x+1),x)","\frac{x^{2}}{2} + x + \log{\left(x - 1 \right)} - \log{\left(x + 1 \right)} - \frac{2}{x - 1}"," ",0,"x**2/2 + x + log(x - 1) - log(x + 1) - 2/(x - 1)","A",0
157,1,17,0,0.142673," ","integrate((2*x**2-x+4)/(x**3+4*x),x)","\log{\left(x \right)} + \frac{\log{\left(x^{2} + 4 \right)}}{2} - \frac{\operatorname{atan}{\left(\frac{x}{2} \right)}}{2}"," ",0,"log(x) + log(x**2 + 4)/2 - atan(x/2)/2","A",0
158,1,34,0,0.127699," ","integrate((4*x**2-3*x+2)/(4*x**2-4*x+3),x)","x + \frac{\log{\left(x^{2} - x + \frac{3}{4} \right)}}{8} - \frac{\sqrt{2} \operatorname{atan}{\left(\sqrt{2} x - \frac{\sqrt{2}}{2} \right)}}{8}"," ",0,"x + log(x**2 - x + 3/4)/8 - sqrt(2)*atan(sqrt(2)*x - sqrt(2)/2)/8","A",0
159,1,88,0,0.542364," ","integrate((x**3+x**2+1)/(-1+x)/x/(x**2+1)**3/(x**2+x+1),x)","- \log{\left(x \right)} + \frac{\log{\left(x - 1 \right)}}{8} + \frac{15 \log{\left(x^{2} + 1 \right)}}{16} - \frac{\log{\left(x^{2} + x + 1 \right)}}{2} + \frac{7 \operatorname{atan}{\left(x \right)}}{16} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{3} + \frac{9 x^{3} - 6 x^{2} + 11 x - 4}{16 x^{4} + 32 x^{2} + 16}"," ",0,"-log(x) + log(x - 1)/8 + 15*log(x**2 + 1)/16 - log(x**2 + x + 1)/2 + 7*atan(x)/16 - sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/3 + (9*x**3 - 6*x**2 + 11*x - 4)/(16*x**4 + 32*x**2 + 16)","A",0
160,1,27,0,0.156802," ","integrate((-x**3+2*x**2-3*x+1)/x/(x**2+1)**2,x)","- \frac{2 x + 1}{2 x^{2} + 2} + \log{\left(x \right)} - \frac{\log{\left(x^{2} + 1 \right)}}{2} - 2 \operatorname{atan}{\left(x \right)}"," ",0,"-(2*x + 1)/(2*x**2 + 2) + log(x) - log(x**2 + 1)/2 - 2*atan(x)","A",0
161,1,12,0,0.111827," ","integrate(1/(x**2+1)**2,x)","\frac{x}{2 x^{2} + 2} + \frac{\operatorname{atan}{\left(x \right)}}{2}"," ",0,"x/(2*x**2 + 2) + atan(x)/2","A",0
162,1,12,0,0.104476," ","integrate(1/(-1+x)/(2+x),x)","\frac{\log{\left(x - 1 \right)}}{3} - \frac{\log{\left(x + 2 \right)}}{3}"," ",0,"log(x - 1)/3 - log(x + 2)/3","A",0
163,1,17,0,0.108056," ","integrate(7/(2*x**2+5*x-12),x)","\frac{7 \log{\left(x - \frac{3}{2} \right)}}{11} - \frac{7 \log{\left(x + 4 \right)}}{11}"," ",0,"7*log(x - 3/2)/11 - 7*log(x + 4)/11","A",0
164,1,26,0,0.142903," ","integrate((x**2+3*x-4)/(-1+2*x)**2/(3+2*x),x)","\frac{41 \log{\left(x - \frac{1}{2} \right)}}{128} - \frac{25 \log{\left(x + \frac{3}{2} \right)}}{128} + \frac{9}{64 x - 32}"," ",0,"41*log(x - 1/2)/128 - 25*log(x + 3/2)/128 + 9/(64*x - 32)","A",0
165,1,32,0,0.165824," ","integrate((x**3-x**2)/(-6+x)/(3+5*x)**3,x)","\frac{1005 x + 471}{378125 x^{2} + 453750 x + 136125} + \frac{20 \log{\left(x - 6 \right)}}{3993} + \frac{1493 \log{\left(x + \frac{3}{5} \right)}}{499125}"," ",0,"(1005*x + 471)/(378125*x**2 + 453750*x + 136125) + 20*log(x - 6)/3993 + 1493*log(x + 3/5)/499125","A",0
166,1,17,0,0.110743," ","integrate(1/(x**4-x**3),x)","- \log{\left(x \right)} + \log{\left(x - 1 \right)} + \frac{2 x + 1}{2 x^{2}}"," ",0,"-log(x) + log(x - 1) + (2*x + 1)/(2*x**2)","A",0
167,1,17,0,0.111376," ","integrate((x**4+x**3-x**2-x+1)/(x**3-x),x)","\frac{x^{2}}{2} + x - \log{\left(x \right)} + \frac{\log{\left(x^{2} - 1 \right)}}{2}"," ",0,"x**2/2 + x - log(x) + log(x**2 - 1)/2","A",0
168,1,8,0,0.101527," ","integrate((x**2-2)/x/(x**2+2),x)","- \log{\left(x \right)} + \log{\left(x^{2} + 2 \right)}"," ",0,"-log(x) + log(x**2 + 2)","A",0
169,1,36,0,0.214134," ","integrate((x**3-4*x**2+2)/(x**2+1)/(x**2+2),x)","- \frac{\log{\left(x^{2} + 1 \right)}}{2} + \log{\left(x^{2} + 2 \right)} + 6 \operatorname{atan}{\left(x \right)} - 5 \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}"," ",0,"-log(x**2 + 1)/2 + log(x**2 + 2) + 6*atan(x) - 5*sqrt(2)*atan(sqrt(2)*x/2)","A",0
170,1,22,0,0.182758," ","integrate((x**4+x**2+1)/(x**2+1)/(x**2+4)**2,x)","- \frac{13 x}{24 x^{2} + 96} + \frac{25 \operatorname{atan}{\left(\frac{x}{2} \right)}}{144} + \frac{\operatorname{atan}{\left(x \right)}}{9}"," ",0,"-13*x/(24*x**2 + 96) + 25*atan(x/2)/144 + atan(x)/9","A",0
171,1,63,0,0.267334," ","integrate((1+16*x)/(5+x)**2/(-3+2*x)/(x**2+x+1),x)","\frac{200 \log{\left(x - \frac{3}{2} \right)}}{3211} + \frac{2731 \log{\left(x + 5 \right)}}{24843} - \frac{481 \log{\left(x^{2} + x + 1 \right)}}{5586} + \frac{451 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{8379} - \frac{79}{273 x + 1365}"," ",0,"200*log(x - 3/2)/3211 + 2731*log(x + 5)/24843 - 481*log(x**2 + x + 1)/5586 + 451*sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/8379 - 79/(273*x + 1365)","A",0
172,1,27,0,0.135896," ","integrate(x**4/(x**2+9)**3,x)","\frac{- 5 x^{3} - 27 x}{8 x^{4} + 144 x^{2} + 648} + \frac{\operatorname{atan}{\left(\frac{x}{3} \right)}}{8}"," ",0,"(-5*x**3 - 27*x)/(8*x**4 + 144*x**2 + 648) + atan(x/3)/8","A",0
173,1,88,0,0.237495," ","integrate(19*x/(-1+x)**3/(4*x**2+5*x+3)**2,x)","\frac{19 \left(388 x^{3} - 407 x^{2} - 120 x - 45\right)}{17664 x^{4} - 13248 x^{3} - 13248 x^{2} - 4416 x + 13248} + \frac{209 \log{\left(x - 1 \right)}}{2304} - \frac{209 \log{\left(x^{2} + \frac{5 x}{4} + \frac{3}{4} \right)}}{4608} + \frac{114437 \sqrt{23} \operatorname{atan}{\left(\frac{8 \sqrt{23} x}{23} + \frac{5 \sqrt{23}}{23} \right)}}{1218816}"," ",0,"19*(388*x**3 - 407*x**2 - 120*x - 45)/(17664*x**4 - 13248*x**3 - 13248*x**2 - 4416*x + 13248) + 209*log(x - 1)/2304 - 209*log(x**2 + 5*x/4 + 3/4)/4608 + 114437*sqrt(23)*atan(8*sqrt(23)*x/23 + 5*sqrt(23)/23)/1218816","A",0
174,1,46,0,0.175749," ","integrate((x**3+x**2+1)/(x**4+x**3+2*x**2),x)","- \frac{\log{\left(x \right)}}{4} + \frac{5 \log{\left(x^{2} + x + 2 \right)}}{8} + \frac{\sqrt{7} \operatorname{atan}{\left(\frac{2 \sqrt{7} x}{7} + \frac{\sqrt{7}}{7} \right)}}{28} - \frac{1}{2 x}"," ",0,"-log(x)/4 + 5*log(x**2 + x + 2)/8 + sqrt(7)*atan(2*sqrt(7)*x/7 + sqrt(7)/7)/28 - 1/(2*x)","A",0
175,1,48,0,0.161909," ","integrate(1/(x**6-x**3),x)","\frac{\log{\left(x - 1 \right)}}{3} - \frac{\log{\left(x^{2} + x + 1 \right)}}{6} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{3} + \frac{1}{2 x^{2}}"," ",0,"log(x - 1)/3 - log(x**2 + x + 1)/6 - sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/3 + 1/(2*x**2)","A",0
176,1,10,0,0.076282," ","integrate(x**2/(1+x),x)","\frac{x^{2}}{2} - x + \log{\left(x + 1 \right)}"," ",0,"x**2/2 - x + log(x + 1)","A",0
177,1,7,0,0.074523," ","integrate(x/(-5+x),x)","x + 5 \log{\left(x - 5 \right)}"," ",0,"x + 5*log(x - 5)","A",0
178,1,10,0,0.108192," ","integrate((-1+4*x)/(-1+x)/(2+x),x)","\log{\left(x - 1 \right)} + 3 \log{\left(x + 2 \right)}"," ",0,"log(x - 1) + 3*log(x + 2)","A",0
179,1,8,0,0.103871," ","integrate(1/(1+x)/(2+x),x)","\log{\left(x + 1 \right)} - \log{\left(x + 2 \right)}"," ",0,"log(x + 1) - log(x + 2)","A",0
180,1,10,0,0.080557," ","integrate((-5+6*x)/(3+2*x),x)","3 x - 7 \log{\left(2 x + 3 \right)}"," ",0,"3*x - 7*log(2*x + 3)","A",0
181,1,80,0,0.227155," ","integrate(1/(a+x)/(b+x),x)","\frac{\log{\left(- \frac{a^{2}}{2 \left(a - b\right)} + \frac{a b}{a - b} + \frac{a}{2} - \frac{b^{2}}{2 \left(a - b\right)} + \frac{b}{2} + x \right)}}{a - b} - \frac{\log{\left(\frac{a^{2}}{2 \left(a - b\right)} - \frac{a b}{a - b} + \frac{a}{2} + \frac{b^{2}}{2 \left(a - b\right)} + \frac{b}{2} + x \right)}}{a - b}"," ",0,"log(-a**2/(2*(a - b)) + a*b/(a - b) + a/2 - b**2/(2*(a - b)) + b/2 + x)/(a - b) - log(a**2/(2*(a - b)) - a*b/(a - b) + a/2 + b**2/(2*(a - b)) + b/2 + x)/(a - b)","B",0
182,1,10,0,0.104010," ","integrate((x**2+1)/(x**2-x),x)","x - \log{\left(x \right)} + 2 \log{\left(x - 1 \right)}"," ",0,"x - log(x) + 2*log(x - 1)","A",0
183,1,17,0,0.106503," ","integrate((x**3+x**2-12*x+1)/(x**2+x-12),x)","\frac{x^{2}}{2} + \frac{\log{\left(x - 3 \right)}}{7} - \frac{\log{\left(x + 4 \right)}}{7}"," ",0,"x**2/2 + log(x - 3)/7 - log(x + 4)/7","A",0
184,1,10,0,0.086478," ","integrate((3+2*x)/(1+x)**2,x)","2 \log{\left(x + 1 \right)} - \frac{1}{x + 1}"," ",0,"2*log(x + 1) - 1/(x + 1)","A",0
185,1,19,0,0.143971," ","integrate(1/x/(1+x)/(3+2*x),x)","\frac{\log{\left(x \right)}}{3} - \log{\left(x + 1 \right)} + \frac{2 \log{\left(x + \frac{3}{2} \right)}}{3}"," ",0,"log(x)/3 - log(x + 1) + 2*log(x + 3/2)/3","A",0
186,1,15,0,0.142005," ","integrate((6*x**2+5*x-3)/(x**3+2*x**2-3*x),x)","\log{\left(x \right)} + 2 \log{\left(x - 1 \right)} + 3 \log{\left(x + 3 \right)}"," ",0,"log(x) + 2*log(x - 1) + 3*log(x + 3)","A",0
187,1,8,0,0.082100," ","integrate(x/(x**2+4*x+4),x)","\log{\left(x + 2 \right)} + \frac{2}{x + 2}"," ",0,"log(x + 2) + 2/(x + 2)","A",0
188,1,19,0,0.130563," ","integrate(1/(-1+x)**2/(4+x),x)","- \frac{\log{\left(x - 1 \right)}}{25} + \frac{\log{\left(x + 4 \right)}}{25} - \frac{1}{5 x - 5}"," ",0,"-log(x - 1)/25 + log(x + 4)/25 - 1/(5*x - 5)","A",0
189,1,22,0,0.127498," ","integrate(x**2/(-3+x)/(2+x)**2,x)","\frac{9 \log{\left(x - 3 \right)}}{25} + \frac{16 \log{\left(x + 2 \right)}}{25} + \frac{4}{5 x + 10}"," ",0,"9*log(x - 3)/25 + 16*log(x + 2)/25 + 4/(5*x + 10)","A",0
190,1,14,0,0.123212," ","integrate((5*x**2+3*x-2)/(x**3+2*x**2),x)","2 \log{\left(x \right)} + 3 \log{\left(x + 2 \right)} + \frac{1}{x}"," ",0,"2*log(x) + 3*log(x + 2) + 1/x","A",0
191,1,17,0,0.145798," ","integrate((-4*x**2-2*x+18)/(x**3+4*x**2+x-6),x)","\log{\left(x - 1 \right)} - 2 \log{\left(x + 2 \right)} - 3 \log{\left(x + 3 \right)}"," ",0,"log(x - 1) - 2*log(x + 2) - 3*log(x + 3)","A",0
192,1,12,0,0.109987," ","integrate((x**2+2*x)/(x**3+3*x**2+4),x)","\frac{\log{\left(x^{3} + 3 x^{2} + 4 \right)}}{3}"," ",0,"log(x**3 + 3*x**2 + 4)/3","A",0
193,1,20,0,0.120124," ","integrate(1/(-1+x)**2/x**2,x)","\frac{1 - 2 x}{x^{2} - x} + 2 \log{\left(x \right)} - 2 \log{\left(x - 1 \right)}"," ",0,"(1 - 2*x)/(x**2 - x) + 2*log(x) - 2*log(x - 1)","A",0
194,1,19,0,0.095211," ","integrate(x**2/(1+x)**3,x)","\frac{4 x + 3}{2 x^{2} + 4 x + 2} + \log{\left(x + 1 \right)}"," ",0,"(4*x + 3)/(2*x**2 + 4*x + 2) + log(x + 1)","A",0
195,1,15,0,0.111078," ","integrate(1/(x**4-x**2),x)","\frac{\log{\left(x - 1 \right)}}{2} - \frac{\log{\left(x + 1 \right)}}{2} + \frac{1}{x}"," ",0,"log(x - 1)/2 - log(x + 1)/2 + 1/x","B",0
196,1,10,0,0.098572," ","integrate((2*x**3-x)/(x**4-x**2+1),x)","\frac{\log{\left(x^{4} - x^{2} + 1 \right)}}{2}"," ",0,"log(x**4 - x**2 + 1)/2","A",0
197,1,12,0,0.080513," ","integrate(x**3/(x**2+1),x)","\frac{x^{2}}{2} - \frac{\log{\left(x^{2} + 1 \right)}}{2}"," ",0,"x**2/2 - log(x**2 + 1)/2","A",0
198,1,17,0,0.111546," ","integrate((-1+x)/(x**2+2*x+2),x)","\frac{\log{\left(x^{2} + 2 x + 2 \right)}}{2} - 2 \operatorname{atan}{\left(x + 1 \right)}"," ",0,"log(x**2 + 2*x + 2)/2 - 2*atan(x + 1)","A",0
199,1,34,0,0.121906," ","integrate(x/(x**2+x+1),x)","\frac{\log{\left(x^{2} + x + 1 \right)}}{2} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"log(x**2 + x + 1)/2 - sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/3","A",0
200,1,22,0,0.121963," ","integrate((4*x**2+5*x+7)/(4*x**2+4*x+5),x)","x + \frac{\log{\left(x^{2} + x + \frac{5}{4} \right)}}{8} + \frac{3 \operatorname{atan}{\left(x + \frac{1}{2} \right)}}{8}"," ",0,"x + log(x**2 + x + 5/4)/8 + 3*atan(x + 1/2)/8","A",0
201,1,19,0,0.145302," ","integrate((3*x**2-4*x+5)/(-1+x)/(x**2+1),x)","2 \log{\left(x - 1 \right)} + \frac{\log{\left(x^{2} + 1 \right)}}{2} - 3 \operatorname{atan}{\left(x \right)}"," ",0,"2*log(x - 1) + log(x**2 + 1)/2 - 3*atan(x)","A",0
202,1,29,0,0.144774," ","integrate((3+2*x)/(x**3+3*x),x)","\log{\left(x \right)} - \frac{\log{\left(x^{2} + 3 \right)}}{2} + \frac{2 \sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} x}{3} \right)}}{3}"," ",0,"log(x) - log(x**2 + 3)/2 + 2*sqrt(3)*atan(sqrt(3)*x/3)/3","A",0
203,1,41,0,0.143382," ","integrate(1/(x**3-1),x)","\frac{\log{\left(x - 1 \right)}}{3} - \frac{\log{\left(x^{2} + x + 1 \right)}}{6} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"log(x - 1)/3 - log(x**2 + x + 1)/6 - sqrt(3)*atan(2*sqrt(3)*x/3 + sqrt(3)/3)/3","A",0
204,1,42,0,0.144183," ","integrate(x**3/(x**3+1),x)","x - \frac{\log{\left(x + 1 \right)}}{3} + \frac{\log{\left(x^{2} - x + 1 \right)}}{6} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} x}{3} - \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"x - log(x + 1)/3 + log(x**2 - x + 1)/6 - sqrt(3)*atan(2*sqrt(3)*x/3 - sqrt(3)/3)/3","A",0
205,1,20,0,0.149348," ","integrate((x**2-2*x-1)/(-1+x)**2/(x**2+1),x)","\log{\left(x - 1 \right)} - \frac{\log{\left(x^{2} + 1 \right)}}{2} + \operatorname{atan}{\left(x \right)} + \frac{1}{x - 1}"," ",0,"log(x - 1) - log(x**2 + 1)/2 + atan(x) + 1/(x - 1)","A",0
206,1,19,0,0.133654," ","integrate(x**4/(x**4-1),x)","x + \frac{\log{\left(x - 1 \right)}}{4} - \frac{\log{\left(x + 1 \right)}}{4} - \frac{\operatorname{atan}{\left(x \right)}}{2}"," ",0,"x + log(x - 1)/4 - log(x + 1)/4 - atan(x)/2","A",0
207,1,29,0,0.206766," ","integrate((3*x**3-x**2+6*x-4)/(x**2+1)/(x**2+2),x)","\frac{3 \log{\left(x^{2} + 1 \right)}}{2} - 3 \operatorname{atan}{\left(x \right)} + \sqrt{2} \operatorname{atan}{\left(\frac{\sqrt{2} x}{2} \right)}"," ",0,"3*log(x**2 + 1)/2 - 3*atan(x) + sqrt(2)*atan(sqrt(2)*x/2)","A",0
208,1,19,0,0.195077," ","integrate((x**3-2*x**2+x+1)/(x**4+5*x**2+4),x)","\frac{\log{\left(x^{2} + 4 \right)}}{2} - \frac{3 \operatorname{atan}{\left(\frac{x}{2} \right)}}{2} + \operatorname{atan}{\left(x \right)}"," ",0,"log(x**2 + 4)/2 - 3*atan(x/2)/2 + atan(x)","A",0
209,1,41,0,0.132361," ","integrate((-3+x)/(x**2+2*x+4)**2,x)","\frac{- 4 x - 7}{6 x^{2} + 12 x + 24} - \frac{2 \sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{9}"," ",0,"(-4*x - 7)/(6*x**2 + 12*x + 24) - 2*sqrt(3)*atan(sqrt(3)*x/3 + sqrt(3)/3)/9","A",0
210,1,8,0,0.103213," ","integrate((x**4+1)/x/(x**2+1)**2,x)","\log{\left(x \right)} + \frac{1}{x^{2} + 1}"," ",0,"log(x) + 1/(x**2 + 1)","A",0
211,1,12,0,0.239441," ","integrate(cos(x)*(-3+2*sin(x))/(2-3*sin(x)+sin(x)**2),x)","\log{\left(\sin{\left(x \right)} - 2 \right)} + \log{\left(\sin{\left(x \right)} - 1 \right)}"," ",0,"log(sin(x) - 2) + log(sin(x) - 1)","A",0
212,1,19,0,0.538985," ","integrate(cos(x)**2*sin(x)/(5+cos(x)**2),x)","- \cos{\left(x \right)} + \sqrt{5} \operatorname{atan}{\left(\frac{\sqrt{5} \cos{\left(x \right)}}{5} \right)}"," ",0,"-cos(x) + sqrt(5)*atan(sqrt(5)*cos(x)/5)","A",0
213,1,12,0,0.109795," ","integrate(1/(x**2+2*x-3),x)","\frac{\log{\left(x - 1 \right)}}{4} - \frac{\log{\left(x + 3 \right)}}{4}"," ",0,"log(x - 1)/4 - log(x + 3)/4","A",0
214,1,10,0,0.102857," ","integrate(1/(x**2-2*x),x)","- \frac{\log{\left(x \right)}}{2} + \frac{\log{\left(x - 2 \right)}}{2}"," ",0,"-log(x)/2 + log(x - 2)/2","A",0
215,1,17,0,0.115867," ","integrate((1+2*x)/(4*x**2+12*x-7),x)","\frac{\log{\left(x - \frac{1}{2} \right)}}{8} + \frac{3 \log{\left(x + \frac{7}{2} \right)}}{8}"," ",0,"log(x - 1/2)/8 + 3*log(x + 7/2)/8","A",0
216,1,46,0,0.114541," ","integrate(x/(x**2+x-1),x)","\left(\frac{\sqrt{5}}{10} + \frac{1}{2}\right) \log{\left(x + \frac{1}{2} + \frac{\sqrt{5}}{2} \right)} + \left(\frac{1}{2} - \frac{\sqrt{5}}{10}\right) \log{\left(x - \frac{\sqrt{5}}{2} + \frac{1}{2} \right)}"," ",0,"(sqrt(5)/10 + 1/2)*log(x + 1/2 + sqrt(5)/2) + (1/2 - sqrt(5)/10)*log(x - sqrt(5)/2 + 1/2)","A",0
217,1,68,0,0.369563," ","integrate((4*x**3-27*x**2+5*x-32)/(30*x**5-13*x**4+50*x**3-286*x**2-299*x-70),x)","- \frac{3146 \log{\left(x - \frac{7}{3} \right)}}{80155} + \frac{4822 \log{\left(x + \frac{2}{5} \right)}}{4879} - \frac{334 \log{\left(x + \frac{1}{2} \right)}}{323} + \frac{11049 \log{\left(x^{2} + x + 5 \right)}}{260015} + \frac{3988 \sqrt{19} \operatorname{atan}{\left(\frac{2 \sqrt{19} x}{19} + \frac{\sqrt{19}}{19} \right)}}{260015}"," ",0,"-3146*log(x - 7/3)/80155 + 4822*log(x + 2/5)/4879 - 334*log(x + 1/2)/323 + 11049*log(x**2 + x + 5)/260015 + 3988*sqrt(19)*atan(2*sqrt(19)*x/19 + sqrt(19)/19)/260015","A",0
218,1,65,0,0.232235," ","integrate((12*x**5-7*x**3-13*x**2+8)/(100*x**6-80*x**5+116*x**4-80*x**3+41*x**2-20*x+4),x)","\frac{- 36458 x^{2} - 4675 x - 2554}{121000 x^{3} - 48400 x^{2} + 60500 x - 24200} - \frac{59096 \log{\left(x - \frac{2}{5} \right)}}{99825} + \frac{2843 \log{\left(x^{2} + \frac{1}{2} \right)}}{7986} + \frac{503 \sqrt{2} \operatorname{atan}{\left(\sqrt{2} x \right)}}{15972}"," ",0,"(-36458*x**2 - 4675*x - 2554)/(121000*x**3 - 48400*x**2 + 60500*x - 24200) - 59096*log(x - 2/5)/99825 + 2843*log(x**2 + 1/2)/7986 + 503*sqrt(2)*atan(sqrt(2)*x)/15972","A",0
219,1,44,0,0.922742," ","integrate((4+x)**(1/2)/x,x)","\begin{cases} 2 \sqrt{x + 4} - 4 \operatorname{acoth}{\left(\frac{\sqrt{x + 4}}{2} \right)} & \text{for}\: \frac{\left|{x + 4}\right|}{4} > 1 \\2 \sqrt{x + 4} - 4 \operatorname{atanh}{\left(\frac{\sqrt{x + 4}}{2} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*sqrt(x + 4) - 4*acoth(sqrt(x + 4)/2), Abs(x + 4)/4 > 1), (2*sqrt(x + 4) - 4*atanh(sqrt(x + 4)/2), True))","A",0
220,0,0,0,0.000000," ","integrate(1/(-1/x**(1/3)+x**(1/2)),x)","\int \frac{\sqrt[3]{x}}{\left(\sqrt[6]{x} - 1\right) \left(\sqrt[6]{x} + x^{\frac{2}{3}} + \sqrt[3]{x} + \sqrt{x} + 1\right)}\, dx"," ",0,"Integral(x**(1/3)/((x**(1/6) - 1)*(x**(1/6) + x**(2/3) + x**(1/3) + sqrt(x) + 1)), x)","F",0
221,1,20,0,0.288298," ","integrate(1/(-4*cos(x)+3*sin(x)),x)","\frac{\log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} \right)}}{5} - \frac{\log{\left(\tan{\left(\frac{x}{2} \right)} + 2 \right)}}{5}"," ",0,"log(tan(x/2) - 1/2)/5 - log(tan(x/2) + 2)/5","A",0
222,1,15,0,0.134382," ","integrate(1/(1+x**(1/2)),x)","2 \sqrt{x} - 2 \log{\left(\sqrt{x} + 1 \right)}"," ",0,"2*sqrt(x) - 2*log(sqrt(x) + 1)","A",0
223,1,26,0,0.137454," ","integrate(1/(1+1/x**(1/3)),x)","- \frac{3 x^{\frac{2}{3}}}{2} + 3 \sqrt[3]{x} + x - 3 \log{\left(\sqrt[3]{x} + 1 \right)}"," ",0,"-3*x**(2/3)/2 + 3*x**(1/3) + x - 3*log(x**(1/3) + 1)","A",0
224,1,14,0,0.172602," ","integrate(x**(1/2)/(1+x),x)","2 \sqrt{x} - 2 \operatorname{atan}{\left(\sqrt{x} \right)}"," ",0,"2*sqrt(x) - 2*atan(sqrt(x))","A",0
225,1,26,0,0.598792," ","integrate(1/x/(1+x)**(1/2),x)","\begin{cases} - 2 \operatorname{acoth}{\left(\sqrt{x + 1} \right)} & \text{for}\: \left|{x + 1}\right| > 1 \\- 2 \operatorname{atanh}{\left(\sqrt{x + 1} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*acoth(sqrt(x + 1)), Abs(x + 1) > 1), (-2*atanh(sqrt(x + 1)), True))","A",0
226,1,22,0,0.204571," ","integrate(1/(-x**(1/3)+x),x)","\frac{3 \log{\left(\sqrt[3]{x} - 1 \right)}}{2} + \frac{3 \log{\left(\sqrt[3]{x} + 1 \right)}}{2}"," ",0,"3*log(x**(1/3) - 1)/2 + 3*log(x**(1/3) + 1)/2","B",0
227,1,36,0,2.762041," ","integrate(1/(x-(2+x)**(1/2)),x)","\log{\left(x - \sqrt{x + 2} \right)} + \frac{\log{\left(2 \sqrt{x + 2} - 4 \right)}}{3} - \frac{\log{\left(2 \sqrt{x + 2} + 2 \right)}}{3}"," ",0,"log(x - sqrt(x + 2)) + log(2*sqrt(x + 2) - 4)/3 - log(2*sqrt(x + 2) + 2)/3","A",0
228,1,76,0,1.329240," ","integrate(x**2/(-1+x)**(1/2),x)","\begin{cases} \frac{2 x^{2} \sqrt{x - 1}}{5} + \frac{8 x \sqrt{x - 1}}{15} + \frac{16 \sqrt{x - 1}}{15} & \text{for}\: \left|{x}\right| > 1 \\\frac{2 i x^{2} \sqrt{1 - x}}{5} + \frac{8 i x \sqrt{1 - x}}{15} + \frac{16 i \sqrt{1 - x}}{15} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*x**2*sqrt(x - 1)/5 + 8*x*sqrt(x - 1)/15 + 16*sqrt(x - 1)/15, Abs(x) > 1), (2*I*x**2*sqrt(1 - x)/5 + 8*I*x*sqrt(1 - x)/15 + 16*I*sqrt(1 - x)/15, True))","A",0
229,1,76,0,1.329638," ","integrate((-1+x)**(1/2)/(1+x),x)","\begin{cases} 2 \sqrt{x - 1} + 2 \sqrt{2} \operatorname{asin}{\left(\frac{\sqrt{2}}{\sqrt{x + 1}} \right)} & \text{for}\: \frac{\left|{x + 1}\right|}{2} > 1 \\2 i \sqrt{1 - x} + \sqrt{2} i \log{\left(x + 1 \right)} - 2 \sqrt{2} i \log{\left(\sqrt{\frac{1}{2} - \frac{x}{2}} + 1 \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*sqrt(x - 1) + 2*sqrt(2)*asin(sqrt(2)/sqrt(x + 1)), Abs(x + 1)/2 > 1), (2*I*sqrt(1 - x) + sqrt(2)*I*log(x + 1) - 2*sqrt(2)*I*log(sqrt(1/2 - x/2) + 1), True))","A",0
230,1,117,0,0.914362," ","integrate(1/(1+x**(1/2))**(1/2),x)","- \frac{4 x^{\frac{5}{2}} \sqrt{\sqrt{x} + 1}}{3 x^{\frac{5}{2}} + 3 x^{2}} + \frac{8 x^{\frac{5}{2}}}{3 x^{\frac{5}{2}} + 3 x^{2}} + \frac{4 x^{3} \sqrt{\sqrt{x} + 1}}{3 x^{\frac{5}{2}} + 3 x^{2}} - \frac{8 x^{2} \sqrt{\sqrt{x} + 1}}{3 x^{\frac{5}{2}} + 3 x^{2}} + \frac{8 x^{2}}{3 x^{\frac{5}{2}} + 3 x^{2}}"," ",0,"-4*x**(5/2)*sqrt(sqrt(x) + 1)/(3*x**(5/2) + 3*x**2) + 8*x**(5/2)/(3*x**(5/2) + 3*x**2) + 4*x**3*sqrt(sqrt(x) + 1)/(3*x**(5/2) + 3*x**2) - 8*x**2*sqrt(sqrt(x) + 1)/(3*x**(5/2) + 3*x**2) + 8*x**2/(3*x**(5/2) + 3*x**2)","B",0
231,1,7,0,0.311474," ","integrate(x**(1/2)/(x**2+x),x)","2 \operatorname{atan}{\left(\sqrt{x} \right)}"," ",0,"2*atan(sqrt(x))","A",0
232,1,17,0,0.159176," ","integrate((1+x**(1/2))/(-1+x**(1/2)),x)","4 \sqrt{x} + x + 4 \log{\left(\sqrt{x} - 1 \right)}"," ",0,"4*sqrt(x) + x + 4*log(sqrt(x) - 1)","A",0
233,1,26,0,0.180657," ","integrate((1+1/x**(1/3))/(-1+1/x**(1/3)),x)","- 3 x^{\frac{2}{3}} - 6 \sqrt[3]{x} - x - 6 \log{\left(\sqrt[3]{x} - 1 \right)}"," ",0,"-3*x**(2/3) - 6*x**(1/3) - x - 6*log(x**(1/3) - 1)","A",0
234,1,26,0,0.940122," ","integrate(x**3/(x**2+1)**(1/3),x)","\frac{3 x^{2} \left(x^{2} + 1\right)^{\frac{2}{3}}}{10} - \frac{9 \left(x^{2} + 1\right)^{\frac{2}{3}}}{20}"," ",0,"3*x**2*(x**2 + 1)**(2/3)/10 - 9*(x**2 + 1)**(2/3)/20","A",0
235,1,311,0,25.120790," ","integrate(x**(1/2)/(-1/x**(1/3)+x**(1/2)),x)","6 \sqrt[6]{x} + x + \frac{6 \log{\left(\sqrt[6]{x} - 1 \right)}}{5} - \frac{3 \sqrt{5} \log{\left(8 \sqrt[6]{x} + 8 \sqrt{5} \sqrt[6]{x} + 16 \sqrt[3]{x} + 16 \right)}}{10} - \frac{3 \log{\left(8 \sqrt[6]{x} + 8 \sqrt{5} \sqrt[6]{x} + 16 \sqrt[3]{x} + 16 \right)}}{10} - \frac{3 \log{\left(- 8 \sqrt{5} \sqrt[6]{x} + 8 \sqrt[6]{x} + 16 \sqrt[3]{x} + 16 \right)}}{10} + \frac{3 \sqrt{5} \log{\left(- 8 \sqrt{5} \sqrt[6]{x} + 8 \sqrt[6]{x} + 16 \sqrt[3]{x} + 16 \right)}}{10} - \frac{3 \sqrt{2} \sqrt{5 - \sqrt{5}} \operatorname{atan}{\left(\frac{2 \sqrt{2} \sqrt[6]{x}}{\sqrt{5 - \sqrt{5}}} + \frac{\sqrt{2}}{2 \sqrt{5 - \sqrt{5}}} + \frac{\sqrt{10}}{2 \sqrt{5 - \sqrt{5}}} \right)}}{5} - \frac{3 \sqrt{2} \sqrt{\sqrt{5} + 5} \operatorname{atan}{\left(\frac{2 \sqrt{2} \sqrt[6]{x}}{\sqrt{\sqrt{5} + 5}} - \frac{\sqrt{10}}{2 \sqrt{\sqrt{5} + 5}} + \frac{\sqrt{2}}{2 \sqrt{\sqrt{5} + 5}} \right)}}{5}"," ",0,"6*x**(1/6) + x + 6*log(x**(1/6) - 1)/5 - 3*sqrt(5)*log(8*x**(1/6) + 8*sqrt(5)*x**(1/6) + 16*x**(1/3) + 16)/10 - 3*log(8*x**(1/6) + 8*sqrt(5)*x**(1/6) + 16*x**(1/3) + 16)/10 - 3*log(-8*sqrt(5)*x**(1/6) + 8*x**(1/6) + 16*x**(1/3) + 16)/10 + 3*sqrt(5)*log(-8*sqrt(5)*x**(1/6) + 8*x**(1/6) + 16*x**(1/3) + 16)/10 - 3*sqrt(2)*sqrt(5 - sqrt(5))*atan(2*sqrt(2)*x**(1/6)/sqrt(5 - sqrt(5)) + sqrt(2)/(2*sqrt(5 - sqrt(5))) + sqrt(10)/(2*sqrt(5 - sqrt(5))))/5 - 3*sqrt(2)*sqrt(sqrt(5) + 5)*atan(2*sqrt(2)*x**(1/6)/sqrt(sqrt(5) + 5) - sqrt(10)/(2*sqrt(sqrt(5) + 5)) + sqrt(2)/(2*sqrt(sqrt(5) + 5)))/5","A",0
236,1,68,0,0.645324," ","integrate(1/(1/x**(1/4)+x**(1/2)),x)","2 \sqrt{x} + \frac{4 \log{\left(\sqrt[4]{x} + 1 \right)}}{3} - \frac{2 \log{\left(- 4 \sqrt[4]{x} + 4 \sqrt{x} + 4 \right)}}{3} - \frac{4 \sqrt{3} \operatorname{atan}{\left(\frac{2 \sqrt{3} \sqrt[4]{x}}{3} - \frac{\sqrt{3}}{3} \right)}}{3}"," ",0,"2*sqrt(x) + 4*log(x**(1/4) + 1)/3 - 2*log(-4*x**(1/4) + 4*sqrt(x) + 4)/3 - 4*sqrt(3)*atan(2*sqrt(3)*x**(1/4)/3 - sqrt(3)/3)/3","A",0
237,1,121,0,3.168088," ","integrate(1/(1/x**(1/3)+1/x**(1/4)),x)","\frac{12 x^{\frac{13}{12}}}{13} + \frac{12 x^{\frac{11}{12}}}{11} + \frac{12 x^{\frac{7}{12}}}{7} + \frac{12 x^{\frac{5}{12}}}{5} + 12 \sqrt[12]{x} - \frac{6 x^{\frac{7}{6}}}{7} - \frac{6 x^{\frac{5}{6}}}{5} - 6 \sqrt[6]{x} + \frac{4 x^{\frac{5}{4}}}{5} + \frac{4 x^{\frac{3}{4}}}{3} + 4 \sqrt[4]{x} - \frac{3 x^{\frac{2}{3}}}{2} - 3 \sqrt[3]{x} - 2 \sqrt{x} - x - 12 \log{\left(\sqrt[12]{x} + 1 \right)}"," ",0,"12*x**(13/12)/13 + 12*x**(11/12)/11 + 12*x**(7/12)/7 + 12*x**(5/12)/5 + 12*x**(1/12) - 6*x**(7/6)/7 - 6*x**(5/6)/5 - 6*x**(1/6) + 4*x**(5/4)/5 + 4*x**(3/4)/3 + 4*x**(1/4) - 3*x**(2/3)/2 - 3*x**(1/3) - 2*sqrt(x) - x - 12*log(x**(1/12) + 1)","A",0
238,0,0,0,0.000000," ","integrate(((1-x)/x)**(1/2),x)","\int \sqrt{\frac{1 - x}{x}}\, dx"," ",0,"Integral(sqrt((1 - x)/x), x)","F",0
239,1,10,0,0.217311," ","integrate(cos(x)/(sin(x)+sin(x)**2),x)","- \log{\left(\sin{\left(x \right)} + 1 \right)} + \log{\left(\sin{\left(x \right)} \right)}"," ",0,"-log(sin(x) + 1) + log(sin(x))","A",0
240,1,14,0,0.133880," ","integrate(exp(2*x)/(2+3*exp(x)+exp(2*x)),x)","- \log{\left(e^{x} + 1 \right)} + 2 \log{\left(e^{x} + 2 \right)}"," ",0,"-log(exp(x) + 1) + 2*log(exp(x) + 2)","A",0
241,1,26,0,1.413692," ","integrate(1/(1+exp(x))**(1/2),x)","\log{\left(-1 + \frac{1}{\sqrt{e^{x} + 1}} \right)} - \log{\left(1 + \frac{1}{\sqrt{e^{x} + 1}} \right)}"," ",0,"log(-1 + 1/sqrt(exp(x) + 1)) - log(1 + 1/sqrt(exp(x) + 1))","B",0
242,1,32,0,1.723522," ","integrate((1-exp(x))**(1/2),x)","2 \sqrt{1 - e^{x}} + \log{\left(\sqrt{1 - e^{x}} - 1 \right)} - \log{\left(\sqrt{1 - e^{x}} + 1 \right)}"," ",0,"2*sqrt(1 - exp(x)) + log(sqrt(1 - exp(x)) - 1) - log(sqrt(1 - exp(x)) + 1)","A",0
243,1,20,0,0.237117," ","integrate(1/(3-5*sin(x)),x)","\frac{\log{\left(\tan{\left(\frac{x}{2} \right)} - 3 \right)}}{4} - \frac{\log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{3} \right)}}{4}"," ",0,"log(tan(x/2) - 3)/4 - log(tan(x/2) - 1/3)/4","A",0
244,1,39,0,0.524212," ","integrate(1/(cos(x)+sin(x)),x)","\frac{\sqrt{2} \log{\left(\tan{\left(\frac{x}{2} \right)} - 1 + \sqrt{2} \right)}}{2} - \frac{\sqrt{2} \log{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{2} - 1 \right)}}{2}"," ",0,"sqrt(2)*log(tan(x/2) - 1 + sqrt(2))/2 - sqrt(2)*log(tan(x/2) - sqrt(2) - 1)/2","A",0
245,1,14,0,0.251465," ","integrate(1/(1-cos(x)+sin(x)),x)","- \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)} + \log{\left(\tan{\left(\frac{x}{2} \right)} \right)}"," ",0,"-log(tan(x/2) + 1) + log(tan(x/2))","A",0
246,1,20,0,0.289797," ","integrate(1/(4*cos(x)+3*sin(x)),x)","- \frac{\log{\left(\tan{\left(\frac{x}{2} \right)} - 2 \right)}}{5} + \frac{\log{\left(\tan{\left(\frac{x}{2} \right)} + \frac{1}{2} \right)}}{5}"," ",0,"-log(tan(x/2) - 2)/5 + log(tan(x/2) + 1/2)/5","A",0
247,0,0,0,0.000000," ","integrate(1/(sin(x)+tan(x)),x)","\int \frac{1}{\sin{\left(x \right)} + \tan{\left(x \right)}}\, dx"," ",0,"Integral(1/(sin(x) + tan(x)), x)","F",0
248,0,0,0,0.000000," ","integrate(1/(2*sin(x)+sin(2*x)),x)","\int \frac{1}{2 \sin{\left(x \right)} + \sin{\left(2 x \right)}}\, dx"," ",0,"Integral(1/(2*sin(x) + sin(2*x)), x)","F",0
249,0,0,0,0.000000," ","integrate(sec(x)/(1+sin(x)),x)","\int \frac{\sec{\left(x \right)}}{\sin{\left(x \right)} + 1}\, dx"," ",0,"Integral(sec(x)/(sin(x) + 1), x)","F",0
250,1,139,0,8.115290," ","integrate(1/(b*cos(x)+a*sin(x)),x)","\begin{cases} \tilde{\infty} \left(- \log{\left(\tan{\left(\frac{x}{2} \right)} - 1 \right)} + \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)}\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{\log{\left(\tan{\left(\frac{x}{2} \right)} \right)}}{a} & \text{for}\: b = 0 \\\frac{1}{b \sin{\left(x \right)} + i \sqrt{b^{2}} \cos{\left(x \right)}} & \text{for}\: a = - \sqrt{- b^{2}} \\\frac{1}{b \sin{\left(x \right)} - i \sqrt{b^{2}} \cos{\left(x \right)}} & \text{for}\: a = \sqrt{- b^{2}} \\- \frac{\log{\left(- \frac{a}{b} + \tan{\left(\frac{x}{2} \right)} - \frac{\sqrt{a^{2} + b^{2}}}{b} \right)}}{\sqrt{a^{2} + b^{2}}} + \frac{\log{\left(- \frac{a}{b} + \tan{\left(\frac{x}{2} \right)} + \frac{\sqrt{a^{2} + b^{2}}}{b} \right)}}{\sqrt{a^{2} + b^{2}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-log(tan(x/2) - 1) + log(tan(x/2) + 1)), Eq(a, 0) & Eq(b, 0)), (log(tan(x/2))/a, Eq(b, 0)), (1/(b*sin(x) + I*sqrt(b**2)*cos(x)), Eq(a, -sqrt(-b**2))), (1/(b*sin(x) - I*sqrt(b**2)*cos(x)), Eq(a, sqrt(-b**2))), (-log(-a/b + tan(x/2) - sqrt(a**2 + b**2)/b)/sqrt(a**2 + b**2) + log(-a/b + tan(x/2) + sqrt(a**2 + b**2)/b)/sqrt(a**2 + b**2), True))","A",0
251,-1,0,0,0.000000," ","integrate(1/(b**2*cos(x)**2+a**2*sin(x)**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
252,1,7,0,0.080261," ","integrate(x/(x**2-1),x)","\frac{\log{\left(x^{2} - 1 \right)}}{2}"," ",0,"log(x**2 - 1)/2","A",0
253,1,12,0,0.142473," ","integrate(x**(1/2)*(1+x**(1/2)),x)","\frac{2 x^{\frac{3}{2}}}{3} + \frac{x^{2}}{2}"," ",0,"2*x**(3/2)/3 + x**2/2","A",0
254,1,7,0,0.355805," ","integrate(1/(1-cos(x)),x)","- \frac{1}{\tan{\left(\frac{x}{2} \right)}}"," ",0,"-1/tan(x/2)","A",0
255,1,27,0,0.121533," ","integrate(sec(x)*tan(x)**2,x)","\frac{\log{\left(\sin{\left(x \right)} - 1 \right)}}{4} - \frac{\log{\left(\sin{\left(x \right)} + 1 \right)}}{4} - \frac{\sin{\left(x \right)}}{2 \sin^{2}{\left(x \right)} - 2}"," ",0,"log(sin(x) - 1)/4 - log(sin(x) + 1)/4 - sin(x)/(2*sin(x)**2 - 2)","A",0
256,1,14,0,0.105150," ","integrate(sec(x)**3*tan(x)**3,x)","\frac{3 - 5 \cos^{2}{\left(x \right)}}{15 \cos^{5}{\left(x \right)}}"," ",0,"(3 - 5*cos(x)**2)/(15*cos(x)**5)","A",0
257,1,20,0,0.207336," ","integrate(exp(x**(1/2)),x)","2 \sqrt{x} e^{\sqrt{x}} - 2 e^{\sqrt{x}}"," ",0,"2*sqrt(x)*exp(sqrt(x)) - 2*exp(sqrt(x))","A",0
258,1,36,0,0.161124," ","integrate((x**5+1)/(x**3-3*x**2-10*x),x)","\frac{x^{3}}{3} + \frac{3 x^{2}}{2} + 19 x - \frac{\log{\left(x \right)}}{10} + \frac{3126 \log{\left(x - 5 \right)}}{35} - \frac{31 \log{\left(x + 2 \right)}}{14}"," ",0,"x**3/3 + 3*x**2/2 + 19*x - log(x)/10 + 3126*log(x - 5)/35 - 31*log(x + 2)/14","A",0
259,1,7,0,0.424037," ","integrate(1/x/ln(x)**(1/2),x)","2 \sqrt{\log{\left(x \right)}}"," ",0,"2*sqrt(log(x))","A",0
260,1,8,0,0.077431," ","integrate((5+2*x)/(-3+x),x)","2 x + 11 \log{\left(x - 3 \right)}"," ",0,"2*x + 11*log(x - 3)","A",0
261,1,3,0,0.701031," ","integrate(exp(x+exp(x)),x)","e^{e^{x}}"," ",0,"exp(exp(x))","A",0
262,1,14,0,0.071488," ","integrate(cos(x)**2*sin(x)**2,x)","\frac{x}{8} - \frac{\sin{\left(2 x \right)} \cos{\left(2 x \right)}}{16}"," ",0,"x/8 - sin(2*x)*cos(2*x)/16","A",0
263,1,8,0,0.146763," ","integrate((-cos(x)+sin(x))/(cos(x)+sin(x)),x)","- \log{\left(\sin{\left(x \right)} + \cos{\left(x \right)} \right)}"," ",0,"-log(sin(x) + cos(x))","A",0
264,1,8,0,0.188367," ","integrate(x/(-x**2+1)**(1/2),x)","- \sqrt{1 - x^{2}}"," ",0,"-sqrt(1 - x**2)","A",0
265,1,12,0,0.096355," ","integrate(x**3*ln(x),x)","\frac{x^{4} \log{\left(x \right)}}{4} - \frac{x^{4}}{16}"," ",0,"x**4*log(x)/4 - x**4/16","A",0
266,1,107,0,1.279269," ","integrate((-2+x)**(1/2)/(2+x),x)","\begin{cases} - 4 i \operatorname{acosh}{\left(\frac{2}{\sqrt{x + 2}} \right)} - \frac{2 i \sqrt{x + 2}}{\sqrt{-1 + \frac{4}{x + 2}}} + \frac{8 i}{\sqrt{-1 + \frac{4}{x + 2}} \sqrt{x + 2}} & \text{for}\: \frac{4}{\left|{x + 2}\right|} > 1 \\4 \operatorname{asin}{\left(\frac{2}{\sqrt{x + 2}} \right)} + \frac{2 \sqrt{x + 2}}{\sqrt{1 - \frac{4}{x + 2}}} - \frac{8}{\sqrt{1 - \frac{4}{x + 2}} \sqrt{x + 2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-4*I*acosh(2/sqrt(x + 2)) - 2*I*sqrt(x + 2)/sqrt(-1 + 4/(x + 2)) + 8*I/(sqrt(-1 + 4/(x + 2))*sqrt(x + 2)), 4/Abs(x + 2) > 1), (4*asin(2/sqrt(x + 2)) + 2*sqrt(x + 2)/sqrt(1 - 4/(x + 2)) - 8/(sqrt(1 - 4/(x + 2))*sqrt(x + 2)), True))","B",0
267,1,8,0,0.085477," ","integrate(x/(2+x)**2,x)","\log{\left(x + 2 \right)} + \frac{2}{x + 2}"," ",0,"log(x + 2) + 2/(x + 2)","A",0
268,1,15,0,0.128506," ","integrate(ln(x**2+1),x)","x \log{\left(x^{2} + 1 \right)} - 2 x + 2 \operatorname{atan}{\left(x \right)}"," ",0,"x*log(x**2 + 1) - 2*x + 2*atan(x)","A",0
269,1,32,0,2.326059," ","integrate((1+ln(x))**(1/2)/x/ln(x),x)","2 \sqrt{\log{\left(x \right)} + 1} + \log{\left(\sqrt{\log{\left(x \right)} + 1} - 1 \right)} - \log{\left(\sqrt{\log{\left(x \right)} + 1} + 1 \right)}"," ",0,"2*sqrt(log(x) + 1) + log(sqrt(log(x) + 1) - 1) - log(sqrt(log(x) + 1) + 1)","A",0
270,1,54,0,0.965487," ","integrate((1+x**(1/2))**8,x)","\frac{16 x^{\frac{9}{2}}}{9} + 16 x^{\frac{7}{2}} + \frac{112 x^{\frac{5}{2}}}{5} + \frac{16 x^{\frac{3}{2}}}{3} + \frac{x^{5}}{5} + 7 x^{4} + \frac{70 x^{3}}{3} + 14 x^{2} + x"," ",0,"16*x**(9/2)/9 + 16*x**(7/2) + 112*x**(5/2)/5 + 16*x**(3/2)/3 + x**5/5 + 7*x**4 + 70*x**3/3 + 14*x**2 + x","B",0
271,1,14,0,0.113186," ","integrate(sec(x)**4*tan(x)**3,x)","\frac{2 - 3 \cos^{2}{\left(x \right)}}{12 \cos^{6}{\left(x \right)}}"," ",0,"(2 - 3*cos(x)**2)/(12*cos(x)**6)","A",0
272,1,15,0,0.109604," ","integrate(x/(x**2-2*x+2),x)","\frac{\log{\left(x^{2} - 2 x + 2 \right)}}{2} + \operatorname{atan}{\left(x - 1 \right)}"," ",0,"log(x**2 - 2*x + 2)/2 + atan(x - 1)","A",0
273,1,24,0,0.210950," ","integrate(x*asin(x),x)","\frac{x^{2} \operatorname{asin}{\left(x \right)}}{2} + \frac{x \sqrt{1 - x^{2}}}{4} - \frac{\operatorname{asin}{\left(x \right)}}{4}"," ",0,"x**2*asin(x)/2 + x*sqrt(1 - x**2)/4 - asin(x)/4","A",0
274,1,73,0,1.356254," ","integrate((-x**2+9)**(1/2)/x,x)","\begin{cases} - \frac{x}{\sqrt{-1 + \frac{9}{x^{2}}}} - 3 \operatorname{acosh}{\left(\frac{3}{x} \right)} + \frac{9}{x \sqrt{-1 + \frac{9}{x^{2}}}} & \text{for}\: \frac{9}{\left|{x^{2}}\right|} > 1 \\\frac{i x}{\sqrt{1 - \frac{9}{x^{2}}}} + 3 i \operatorname{asin}{\left(\frac{3}{x} \right)} - \frac{9 i}{x \sqrt{1 - \frac{9}{x^{2}}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-x/sqrt(-1 + 9/x**2) - 3*acosh(3/x) + 9/(x*sqrt(-1 + 9/x**2)), 9/Abs(x**2) > 1), (I*x/sqrt(1 - 9/x**2) + 3*I*asin(3/x) - 9*I/(x*sqrt(1 - 9/x**2)), True))","A",0
275,1,10,0,0.100195," ","integrate(x/(x**2+3*x+2),x)","- \log{\left(x + 1 \right)} + 2 \log{\left(x + 2 \right)}"," ",0,"-log(x + 1) + 2*log(x + 2)","A",0
276,1,17,0,0.356204," ","integrate(x**2*cosh(x),x)","x^{2} \sinh{\left(x \right)} - 2 x \cosh{\left(x \right)} + 2 \sinh{\left(x \right)}"," ",0,"x**2*sinh(x) - 2*x*cosh(x) + 2*sinh(x)","A",0
277,1,14,0,0.105153," ","integrate((x**3+x+1)/(x**4+2*x**2+4*x),x)","\frac{\log{\left(x^{4} + 2 x^{2} + 4 x \right)}}{4}"," ",0,"log(x**4 + 2*x**2 + 4*x)/4","A",0
278,1,3,0,0.232383," ","integrate(cos(x)/(1+sin(x)**2),x)","\operatorname{atan}{\left(\sin{\left(x \right)} \right)}"," ",0,"atan(sin(x))","A",0
279,1,20,0,0.325604," ","integrate(cos(x**(1/2)),x)","2 \sqrt{x} \sin{\left(\sqrt{x} \right)} + 2 \cos{\left(\sqrt{x} \right)}"," ",0,"2*sqrt(x)*sin(sqrt(x)) + 2*cos(sqrt(x))","A",0
280,1,7,0,0.064910," ","integrate(sin(pi*x),x)","- \frac{\cos{\left(\pi x \right)}}{\pi}"," ",0,"-cos(pi*x)/pi","A",0
281,1,8,0,0.098926," ","integrate(exp(2*x)/(1+exp(x)),x)","e^{x} - \log{\left(e^{x} + 1 \right)}"," ",0,"exp(x) - log(exp(x) + 1)","A",0
282,1,26,0,0.324795," ","integrate(exp(3*x)*cos(5*x),x)","\frac{5 e^{3 x} \sin{\left(5 x \right)}}{34} + \frac{3 e^{3 x} \cos{\left(5 x \right)}}{34}"," ",0,"5*exp(3*x)*sin(5*x)/34 + 3*exp(3*x)*cos(5*x)/34","A",0
283,1,26,0,0.576546," ","integrate(cos(3*x)*cos(5*x),x)","- \frac{3 \sin{\left(3 x \right)} \cos{\left(5 x \right)}}{16} + \frac{5 \sin{\left(5 x \right)} \cos{\left(3 x \right)}}{16}"," ",0,"-3*sin(3*x)*cos(5*x)/16 + 5*sin(5*x)*cos(3*x)/16","B",0
284,1,19,0,0.130600," ","integrate(1/(x**3+x**2+x+1),x)","\frac{\log{\left(x + 1 \right)}}{2} - \frac{\log{\left(x^{2} + 1 \right)}}{4} + \frac{\operatorname{atan}{\left(x \right)}}{2}"," ",0,"log(x + 1)/2 - log(x**2 + 1)/4 + atan(x)/2","A",0
285,1,29,0,0.114511," ","integrate(x**2*ln(1+x),x)","\frac{x^{3} \log{\left(x + 1 \right)}}{3} - \frac{x^{3}}{9} + \frac{x^{2}}{6} - \frac{x}{3} + \frac{\log{\left(x + 1 \right)}}{3}"," ",0,"x**3*log(x + 1)/3 - x**3/9 + x**2/6 - x/3 + log(x + 1)/3","A",0
286,1,12,0,0.096082," ","integrate(x**5/exp(x**3),x)","\frac{\left(- x^{3} - 1\right) e^{- x^{3}}}{3}"," ",0,"(-x**3 - 1)*exp(-x**3)/3","A",0
287,1,12,0,0.072176," ","integrate(tan(4*x)**2,x)","- x + \frac{\sin{\left(4 x \right)}}{4 \cos{\left(4 x \right)}}"," ",0,"-x + sin(4*x)/(4*cos(4*x))","A",0
288,0,0,0,0.000000," ","integrate(1/(9*x**2+12*x-5)**(1/2),x)","\int \frac{1}{\sqrt{9 x^{2} + 12 x - 5}}\, dx"," ",0,"Integral(1/sqrt(9*x**2 + 12*x - 5), x)","F",0
289,1,20,0,0.345795," ","integrate(x**2*atan(x),x)","\frac{x^{3} \operatorname{atan}{\left(x \right)}}{3} - \frac{x^{2}}{6} + \frac{\log{\left(x^{2} + 1 \right)}}{6}"," ",0,"x**3*atan(x)/3 - x**2/6 + log(x**2 + 1)/6","A",0
290,1,15,0,1.674267," ","integrate((1-x**(1/2))/x**(1/3),x)","- \frac{6 x^{\frac{7}{6}}}{7} + \frac{3 x^{\frac{2}{3}}}{2}"," ",0,"-6*x**(7/6)/7 + 3*x**(2/3)/2","A",0
291,1,15,0,0.110844," ","integrate(1/(-1/exp(x)+exp(x)),x)","\frac{\log{\left(e^{x} - 1 \right)}}{2} - \frac{\log{\left(e^{x} + 1 \right)}}{2}"," ",0,"log(exp(x) - 1)/2 - log(exp(x) + 1)/2","B",0
292,1,10,0,0.109388," ","integrate(x/(x**4+2*x**2+10),x)","\frac{\operatorname{atan}{\left(\frac{x^{2}}{3} + \frac{1}{3} \right)}}{6}"," ",0,"atan(x**2/3 + 1/3)/6","A",0
293,1,10,0,0.235510," ","integrate(1/(1/x**(1/3)+x),x)","\frac{3 \log{\left(x^{\frac{4}{3}} + 1 \right)}}{4}"," ",0,"3*log(x**(4/3) + 1)/4","A",0
294,1,31,0,0.065829," ","integrate(cos(x)**4*sin(x)**2,x)","\frac{x}{16} - \frac{\sin{\left(x \right)} \cos^{5}{\left(x \right)}}{6} + \frac{\sin{\left(x \right)} \cos^{3}{\left(x \right)}}{24} + \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{16}"," ",0,"x/16 - sin(x)*cos(x)**5/6 + sin(x)*cos(x)**3/24 + sin(x)*cos(x)/16","A",0
295,0,0,0,0.000000," ","integrate(1/(-x**2-4*x+5)**(1/2),x)","\int \frac{1}{\sqrt{- x^{2} - 4 x + 5}}\, dx"," ",0,"Integral(1/sqrt(-x**2 - 4*x + 5), x)","F",0
296,1,44,0,5.471369," ","integrate(x/(1-x**2+(-x**2+1)**(1/2)),x)","\frac{\log{\left(2 \sqrt{1 - x^{2}} \right)}}{2} - \frac{\log{\left(2 \sqrt{1 - x^{2}} + 2 \right)}}{2} - \frac{\log{\left(x^{2} - \sqrt{1 - x^{2}} - 1 \right)}}{2}"," ",0,"log(2*sqrt(1 - x**2))/2 - log(2*sqrt(1 - x**2) + 2)/2 - log(x**2 - sqrt(1 - x**2) - 1)/2","B",0
297,1,12,0,2.256818," ","integrate((1+cos(x))*csc(x),x)","- \log{\left(\cot{\left(x \right)} + \csc{\left(x \right)} \right)} + \log{\left(\sin{\left(x \right)} \right)}"," ",0,"-log(cot(x) + csc(x)) + log(sin(x))","B",0
298,1,15,0,0.106522," ","integrate(exp(x)/(-1+exp(2*x)),x)","\frac{\log{\left(e^{x} - 1 \right)}}{2} - \frac{\log{\left(e^{x} + 1 \right)}}{2}"," ",0,"log(exp(x) - 1)/2 - log(exp(x) + 1)/2","B",0
299,1,41,0,0.139092," ","integrate(1/(x**3-8),x)","\frac{\log{\left(x - 2 \right)}}{12} - \frac{\log{\left(x^{2} + 2 x + 4 \right)}}{24} - \frac{\sqrt{3} \operatorname{atan}{\left(\frac{\sqrt{3} x}{3} + \frac{\sqrt{3}}{3} \right)}}{12}"," ",0,"log(x - 2)/12 - log(x**2 + 2*x + 4)/24 - sqrt(3)*atan(sqrt(3)*x/3 + sqrt(3)/3)/12","A",0
300,1,42,0,2.149957," ","integrate(x**5*cosh(x),x)","x^{5} \sinh{\left(x \right)} - 5 x^{4} \cosh{\left(x \right)} + 20 x^{3} \sinh{\left(x \right)} - 60 x^{2} \cosh{\left(x \right)} + 120 x \sinh{\left(x \right)} - 120 \cosh{\left(x \right)}"," ",0,"x**5*sinh(x) - 5*x**4*cosh(x) + 20*x**3*sinh(x) - 60*x**2*cosh(x) + 120*x*sinh(x) - 120*cosh(x)","A",0
301,0,0,0,0.000000," ","integrate(ln(tan(x))/cos(x)/sin(x),x)","\int \frac{\log{\left(\tan{\left(x \right)} \right)}}{\sin{\left(x \right)} \cos{\left(x \right)}}\, dx"," ",0,"Integral(log(tan(x))/(sin(x)*cos(x)), x)","F",0
302,1,12,0,0.056670," ","integrate(x**3+x**2-2*x,x)","\frac{x^{4}}{4} + \frac{x^{3}}{3} - x^{2}"," ",0,"x**4/4 + x**3/3 - x**2","A",0
303,1,8,0,0.087369," ","integrate((1+exp(x))/(1-exp(x)),x)","x - 2 \log{\left(e^{x} - 1 \right)}"," ",0,"x - 2*log(exp(x) - 1)","A",0
304,1,15,0,0.107906," ","integrate(x/(x**2+1)/(x**2+4),x)","\frac{\log{\left(x^{2} + 1 \right)}}{6} - \frac{\log{\left(x^{2} + 4 \right)}}{6}"," ",0,"log(x**2 + 1)/6 - log(x**2 + 4)/6","A",0
305,1,20,0,0.246282," ","integrate(1/(4-5*sin(x)),x)","\frac{\log{\left(\tan{\left(\frac{x}{2} \right)} - 2 \right)}}{3} - \frac{\log{\left(\tan{\left(\frac{x}{2} \right)} - \frac{1}{2} \right)}}{3}"," ",0,"log(tan(x/2) - 2)/3 - log(tan(x/2) - 1/2)/3","A",0
306,1,144,0,1.104190," ","integrate(x*(c+x)**(1/3),x)","- \frac{9 c^{\frac{13}{3}} \sqrt[3]{1 + \frac{x}{c}}}{28 c^{2} + 28 c x} + \frac{9 c^{\frac{13}{3}}}{28 c^{2} + 28 c x} - \frac{6 c^{\frac{10}{3}} x \sqrt[3]{1 + \frac{x}{c}}}{28 c^{2} + 28 c x} + \frac{9 c^{\frac{10}{3}} x}{28 c^{2} + 28 c x} + \frac{15 c^{\frac{7}{3}} x^{2} \sqrt[3]{1 + \frac{x}{c}}}{28 c^{2} + 28 c x} + \frac{12 c^{\frac{4}{3}} x^{3} \sqrt[3]{1 + \frac{x}{c}}}{28 c^{2} + 28 c x}"," ",0,"-9*c**(13/3)*(1 + x/c)**(1/3)/(28*c**2 + 28*c*x) + 9*c**(13/3)/(28*c**2 + 28*c*x) - 6*c**(10/3)*x*(1 + x/c)**(1/3)/(28*c**2 + 28*c*x) + 9*c**(10/3)*x/(28*c**2 + 28*c*x) + 15*c**(7/3)*x**2*(1 + x/c)**(1/3)/(28*c**2 + 28*c*x) + 12*c**(4/3)*x**3*(1 + x/c)**(1/3)/(28*c**2 + 28*c*x)","B",0
307,1,34,0,0.341371," ","integrate(exp(x**(1/3)),x)","3 x^{\frac{2}{3}} e^{\sqrt[3]{x}} - 6 \sqrt[3]{x} e^{\sqrt[3]{x}} + 6 e^{\sqrt[3]{x}}"," ",0,"3*x**(2/3)*exp(x**(1/3)) - 6*x**(1/3)*exp(x**(1/3)) + 6*exp(x**(1/3))","A",0
308,1,39,0,2.558166," ","integrate(1/(4+x+(1+x)**(1/2)),x)","\log{\left(x + \sqrt{x + 1} + 4 \right)} - \frac{2 \sqrt{11} \operatorname{atan}{\left(\frac{2 \sqrt{11} \left(\sqrt{x + 1} + \frac{1}{2}\right)}{11} \right)}}{11}"," ",0,"log(x + sqrt(x + 1) + 4) - 2*sqrt(11)*atan(2*sqrt(11)*(sqrt(x + 1) + 1/2)/11)/11","A",0
309,1,14,0,0.111683," ","integrate((x**3+1)/(x**3-x**2),x)","x - \log{\left(x \right)} + 2 \log{\left(x - 1 \right)} + \frac{1}{x}"," ",0,"x - log(x) + 2*log(x - 1) + 1/x","A",0
310,1,39,0,0.354095," ","integrate((x**2+4*x-3)*sin(2*x),x)","- \frac{x^{2} \cos{\left(2 x \right)}}{2} + \frac{x \sin{\left(2 x \right)}}{2} - 2 x \cos{\left(2 x \right)} + \sin{\left(2 x \right)} + \frac{7 \cos{\left(2 x \right)}}{4}"," ",0,"-x**2*cos(2*x)/2 + x*sin(2*x)/2 - 2*x*cos(2*x) + sin(2*x) + 7*cos(2*x)/4","A",0
311,1,5,0,0.521602," ","integrate(cos(cos(x))*sin(x),x)","- \sin{\left(\cos{\left(x \right)} \right)}"," ",0,"-sin(cos(x))","A",0
312,1,3,0,0.154322," ","integrate(1/(-x**2+16)**(1/2),x)","\operatorname{asin}{\left(\frac{x}{4} \right)}"," ",0,"asin(x/4)","A",0
313,1,61,0,0.146813," ","integrate(x**3/(1+x)**10,x)","\frac{- 84 x^{3} - 36 x^{2} - 9 x - 1}{504 x^{9} + 4536 x^{8} + 18144 x^{7} + 42336 x^{6} + 63504 x^{5} + 63504 x^{4} + 42336 x^{3} + 18144 x^{2} + 4536 x + 504}"," ",0,"(-84*x**3 - 36*x**2 - 9*x - 1)/(504*x**9 + 4536*x**8 + 18144*x**7 + 42336*x**6 + 63504*x**5 + 63504*x**4 + 42336*x**3 + 18144*x**2 + 4536*x + 504)","A",0
314,1,19,0,0.123984," ","integrate(cot(2*x)**3*csc(2*x)**3,x)","- \frac{3 - 5 \sin^{2}{\left(2 x \right)}}{30 \sin^{5}{\left(2 x \right)}}"," ",0,"-(3 - 5*sin(2*x)**2)/(30*sin(2*x)**5)","A",0
315,1,41,0,0.219805," ","integrate((x+sin(x))**2,x)","\frac{x^{3}}{3} + \frac{x \sin^{2}{\left(x \right)}}{2} + \frac{x \cos^{2}{\left(x \right)}}{2} - 2 x \cos{\left(x \right)} - \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{2} + 2 \sin{\left(x \right)}"," ",0,"x**3/3 + x*sin(x)**2/2 + x*cos(x)**2/2 - 2*x*cos(x) - sin(x)*cos(x)/2 + 2*sin(x)","A",0
316,1,3,0,0.816362," ","integrate(exp(atan(x))/(x**2+1),x)","e^{\operatorname{atan}{\left(x \right)}}"," ",0,"exp(atan(x))","A",0
317,1,10,0,0.106614," ","integrate(1/x/(x**4+1),x)","\log{\left(x \right)} - \frac{\log{\left(x^{4} + 1 \right)}}{4}"," ",0,"log(x) - log(x**4 + 1)/4","A",0
318,1,22,0,0.096414," ","integrate(t**3/exp(2*t),t)","\frac{\left(- 4 t^{3} - 6 t^{2} - 6 t - 3\right) e^{- 2 t}}{8}"," ",0,"(-4*t**3 - 6*t**2 - 6*t - 3)*exp(-2*t)/8","A",0
319,1,37,0,3.708271," ","integrate(t**(1/2)/(1+t**(1/3)),t)","\frac{6 t^{\frac{7}{6}}}{7} - \frac{6 t^{\frac{5}{6}}}{5} - 6 \sqrt[6]{t} + 2 \sqrt{t} + 6 \operatorname{atan}{\left(\sqrt[6]{t} \right)}"," ",0,"6*t**(7/6)/7 - 6*t**(5/6)/5 - 6*t**(1/6) + 2*sqrt(t) + 6*atan(t**(1/6))","A",0
320,1,114,0,13.251032," ","integrate(sin(x)*sin(2*x)*sin(3*x),x)","\frac{x \sin{\left(x \right)} \sin{\left(2 x \right)} \sin{\left(3 x \right)}}{4} + \frac{x \sin{\left(x \right)} \cos{\left(2 x \right)} \cos{\left(3 x \right)}}{4} + \frac{x \sin{\left(2 x \right)} \cos{\left(x \right)} \cos{\left(3 x \right)}}{4} - \frac{x \sin{\left(3 x \right)} \cos{\left(x \right)} \cos{\left(2 x \right)}}{4} - \frac{5 \sin{\left(x \right)} \sin{\left(2 x \right)} \cos{\left(3 x \right)}}{24} - \frac{\sin{\left(2 x \right)} \sin{\left(3 x \right)} \cos{\left(x \right)}}{8} - \frac{\cos{\left(x \right)} \cos{\left(2 x \right)} \cos{\left(3 x \right)}}{6}"," ",0,"x*sin(x)*sin(2*x)*sin(3*x)/4 + x*sin(x)*cos(2*x)*cos(3*x)/4 + x*sin(2*x)*cos(x)*cos(3*x)/4 - x*sin(3*x)*cos(x)*cos(2*x)/4 - 5*sin(x)*sin(2*x)*cos(3*x)/24 - sin(2*x)*sin(3*x)*cos(x)/8 - cos(x)*cos(2*x)*cos(3*x)/6","B",0
321,1,7,0,0.090274," ","integrate(ln(1/2*x),x)","x \log{\left(\frac{x}{2} \right)} - x"," ",0,"x*log(x/2) - x","A",0
322,0,0,0,0.000000," ","integrate(((1+x)/(1-x))**(1/2),x)","\int \sqrt{\frac{x + 1}{1 - x}}\, dx"," ",0,"Integral(sqrt((x + 1)/(1 - x)), x)","F",0
323,1,29,0,2.855435," ","integrate(x*ln(x)/(x**2-1)**(1/2),x)","\sqrt{x^{2} - 1} \log{\left(x \right)} - \begin{cases} \sqrt{x^{2} - 1} - \operatorname{acos}{\left(\frac{1}{x} \right)} & \text{for}\: x > -1 \wedge x < 1 \end{cases}"," ",0,"sqrt(x**2 - 1)*log(x) - Piecewise((sqrt(x**2 - 1) - acos(1/x), (x > -1) & (x < 1)))","A",0
324,1,42,0,0.111013," ","integrate((a+x)/(a**2+x**2),x)","\left(\frac{1}{2} - \frac{i}{2}\right) \log{\left(- a + 2 a \left(\frac{1}{2} - \frac{i}{2}\right) + x \right)} + \left(\frac{1}{2} + \frac{i}{2}\right) \log{\left(- a + 2 a \left(\frac{1}{2} + \frac{i}{2}\right) + x \right)}"," ",0,"(1/2 - I/2)*log(-a + 2*a*(1/2 - I/2) + x) + (1/2 + I/2)*log(-a + 2*a*(1/2 + I/2) + x)","C",0
325,0,0,0,0.000000," ","integrate((-x**2+x+1)**(1/2),x)","\int \sqrt{- x^{2} + x + 1}\, dx"," ",0,"Integral(sqrt(-x**2 + x + 1), x)","F",0
326,1,7,0,0.118725," ","integrate(x**4/(x**10+16),x)","\frac{\operatorname{atan}{\left(\frac{x^{5}}{4} \right)}}{20}"," ",0,"atan(x**5/4)/20","A",0
327,1,36,0,0.114066," ","integrate((2+x)/(x**2+x+2),x)","\frac{\log{\left(x^{2} + x + 2 \right)}}{2} + \frac{3 \sqrt{7} \operatorname{atan}{\left(\frac{2 \sqrt{7} x}{7} + \frac{\sqrt{7}}{7} \right)}}{7}"," ",0,"log(x**2 + x + 2)/2 + 3*sqrt(7)*atan(2*sqrt(7)*x/7 + sqrt(7)/7)/7","A",0
328,0,0,0,0.000000," ","integrate(x*sec(x)*tan(x),x)","\int x \tan{\left(x \right)} \sec{\left(x \right)}\, dx"," ",0,"Integral(x*tan(x)*sec(x), x)","F",0
329,1,22,0,0.157214," ","integrate(x/(-a**4+x**4),x)","\frac{\frac{\log{\left(- a^{2} + x^{2} \right)}}{4} - \frac{\log{\left(a^{2} + x^{2} \right)}}{4}}{a^{2}}"," ",0,"(log(-a**2 + x**2)/4 - log(a**2 + x**2)/4)/a**2","A",0
330,1,63,0,0.360437," ","integrate(1/(x**(1/2)+(1+x)**(1/2)),x)","\frac{2 \sqrt{x} \sqrt{x + 1}}{3 \sqrt{x} + 3 \sqrt{x + 1}} + \frac{4 x}{3 \sqrt{x} + 3 \sqrt{x + 1}} + \frac{2}{3 \sqrt{x} + 3 \sqrt{x + 1}}"," ",0,"2*sqrt(x)*sqrt(x + 1)/(3*sqrt(x) + 3*sqrt(x + 1)) + 4*x/(3*sqrt(x) + 3*sqrt(x + 1)) + 2/(3*sqrt(x) + 3*sqrt(x + 1))","B",0
331,1,17,0,0.123007," ","integrate(1/(1-1/exp(x)+2*exp(x)),x)","\frac{\log{\left(e^{x} - \frac{1}{2} \right)}}{3} - \frac{\log{\left(e^{x} + 1 \right)}}{3}"," ",0,"log(exp(x) - 1/2)/3 - log(exp(x) + 1)/3","A",0
332,1,17,0,0.431276," ","integrate(atan(x**(1/2))/x**(1/2),x)","2 \sqrt{x} \operatorname{atan}{\left(\sqrt{x} \right)} - \log{\left(x + 1 \right)}"," ",0,"2*sqrt(x)*atan(sqrt(x)) - log(x + 1)","A",0
333,1,14,0,0.136344," ","integrate(ln(1+x)/x**2,x)","\log{\left(x \right)} - \log{\left(x + 1 \right)} - \frac{\log{\left(x + 1 \right)}}{x}"," ",0,"log(x) - log(x + 1) - log(x + 1)/x","A",0
334,1,20,0,0.123850," ","integrate(1/(-exp(x)+exp(3*x)),x)","\frac{\log{\left(e^{x} - 1 \right)}}{2} - \frac{\log{\left(e^{x} + 1 \right)}}{2} + e^{- x}"," ",0,"log(exp(x) - 1)/2 - log(exp(x) + 1)/2 + exp(-x)","B",0
335,1,12,0,1.148593," ","integrate((1+cos(x)**2)/(-cos(x)**2+1),x)","- x + \tan{\left(\frac{x}{2} \right)} - \frac{1}{\tan{\left(\frac{x}{2} \right)}}"," ",0,"-x + tan(x/2) - 1/tan(x/2)","A",0
336,1,44,0,1.010977," ","integrate(1/x/(-25+2*x)**(1/2),x)","\begin{cases} \frac{2 i \operatorname{acosh}{\left(\frac{5 \sqrt{2}}{2 \sqrt{x}} \right)}}{5} & \text{for}\: \frac{25}{2 \left|{x}\right|} > 1 \\- \frac{2 \operatorname{asin}{\left(\frac{5 \sqrt{2}}{2 \sqrt{x}} \right)}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*I*acosh(5*sqrt(2)/(2*sqrt(x)))/5, 25/(2*Abs(x)) > 1), (-2*asin(5*sqrt(2)/(2*sqrt(x)))/5, True))","A",0
337,-1,0,0,0.000000," ","integrate(sin(2*x)/(9-cos(x)**4)**(1/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
338,1,27,0,0.264323," ","integrate(x**2/(-4*x**2+5)**(1/2),x)","- \frac{x \sqrt{5 - 4 x^{2}}}{8} + \frac{5 \operatorname{asin}{\left(\frac{2 \sqrt{5} x}{5} \right)}}{16}"," ",0,"-x*sqrt(5 - 4*x**2)/8 + 5*asin(2*sqrt(5)*x/5)/16","A",0
339,1,26,0,0.683262," ","integrate(x**3*sin(x),x)","- x^{3} \cos{\left(x \right)} + 3 x^{2} \sin{\left(x \right)} + 6 x \cos{\left(x \right)} - 6 \sin{\left(x \right)}"," ",0,"-x**3*cos(x) + 3*x**2*sin(x) + 6*x*cos(x) - 6*sin(x)","A",0
340,0,0,0,0.000000," ","integrate(x*(x**2+2*x+4)**(1/2),x)","\int x \sqrt{x^{2} + 2 x + 4}\, dx"," ",0,"Integral(x*sqrt(x**2 + 2*x + 4), x)","F",0
341,1,51,0,0.064305," ","integrate(x*(x**2+5)**8,x)","\frac{x^{18}}{18} + \frac{5 x^{16}}{2} + 50 x^{14} + \frac{1750 x^{12}}{3} + 4375 x^{10} + 21875 x^{8} + \frac{218750 x^{6}}{3} + 156250 x^{4} + \frac{390625 x^{2}}{2}"," ",0,"x**18/18 + 5*x**16/2 + 50*x**14 + 1750*x**12/3 + 4375*x**10 + 21875*x**8 + 218750*x**6/3 + 156250*x**4 + 390625*x**2/2","B",0
342,1,20,0,0.069778," ","integrate(cos(x)**2*sin(x)**5,x)","- \frac{\cos^{7}{\left(x \right)}}{7} + \frac{2 \cos^{5}{\left(x \right)}}{5} - \frac{\cos^{3}{\left(x \right)}}{3}"," ",0,"-cos(x)**7/7 + 2*cos(x)**5/5 - cos(x)**3/3","A",0
343,1,26,0,0.493840," ","integrate(cos(4*x)/exp(3*x),x)","\frac{4 e^{- 3 x} \sin{\left(4 x \right)}}{25} - \frac{3 e^{- 3 x} \cos{\left(4 x \right)}}{25}"," ",0,"4*exp(-3*x)*sin(4*x)/25 - 3*exp(-3*x)*cos(4*x)/25","A",0
344,1,36,0,0.135849," ","integrate(csc(1/2*x)**3,x)","\frac{\log{\left(\cos{\left(\frac{x}{2} \right)} - 1 \right)}}{2} - \frac{\log{\left(\cos{\left(\frac{x}{2} \right)} + 1 \right)}}{2} + \frac{2 \cos{\left(\frac{x}{2} \right)}}{2 \cos^{2}{\left(\frac{x}{2} \right)} - 2}"," ",0,"log(cos(x/2) - 1)/2 - log(cos(x/2) + 1)/2 + 2*cos(x/2)/(2*cos(x/2)**2 - 2)","B",0
345,1,17,0,0.254978," ","integrate((9*x**2-1)**(1/2)/x**2,x)","3 \operatorname{acosh}{\left(3 x \right)} - \frac{\sqrt{9 x^{2} - 1}}{x}"," ",0,"3*acosh(3*x) - sqrt(9*x**2 - 1)/x","A",0
346,1,75,0,1.558385," ","integrate((-3*x**2+4)**(1/2)/x,x)","\begin{cases} i \sqrt{3 x^{2} - 4} - 2 \log{\left(x \right)} + \log{\left(x^{2} \right)} + 2 i \operatorname{asin}{\left(\frac{2 \sqrt{3}}{3 x} \right)} & \text{for}\: \frac{3 \left|{x^{2}}\right|}{4} > 1 \\\sqrt{4 - 3 x^{2}} + \log{\left(x^{2} \right)} - 2 \log{\left(\sqrt{1 - \frac{3 x^{2}}{4}} + 1 \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*sqrt(3*x**2 - 4) - 2*log(x) + log(x**2) + 2*I*asin(2*sqrt(3)/(3*x)), 3*Abs(x**2)/4 > 1), (sqrt(4 - 3*x**2) + log(x**2) - 2*log(sqrt(1 - 3*x**2/4) + 1), True))","A",0
347,1,15,0,0.090633," ","integrate(exp(3*x)*x**2,x)","\frac{\left(9 x^{2} - 6 x + 2\right) e^{3 x}}{27}"," ",0,"(9*x**2 - 6*x + 2)*exp(3*x)/27","A",0
348,1,26,0,0.356558," ","integrate(cos(x)*sin(x)/(1+sin(x))**(1/2),x)","\frac{2 \sqrt{\sin{\left(x \right)} + 1} \sin{\left(x \right)}}{3} - \frac{4 \sqrt{\sin{\left(x \right)} + 1}}{3}"," ",0,"2*sqrt(sin(x) + 1)*sin(x)/3 - 4*sqrt(sin(x) + 1)/3","A",0
349,1,19,0,0.202962," ","integrate(x*asin(x**2),x)","\frac{x^{2} \operatorname{asin}{\left(x^{2} \right)}}{2} + \frac{\sqrt{1 - x^{4}}}{2}"," ",0,"x**2*asin(x**2)/2 + sqrt(1 - x**4)/2","A",0
350,1,29,0,0.613672," ","integrate(x**3*asin(x**2),x)","\frac{x^{4} \operatorname{asin}{\left(x^{2} \right)}}{4} + \frac{x^{2} \sqrt{1 - x^{4}}}{8} - \frac{\operatorname{asin}{\left(x^{2} \right)}}{8}"," ",0,"x**4*asin(x**2)/4 + x**2*sqrt(1 - x**4)/8 - asin(x**2)/8","A",0
351,0,0,0,0.000000," ","integrate(exp(x)*sech(exp(x)),x)","\int e^{x} \operatorname{sech}{\left(e^{x} \right)}\, dx"," ",0,"Integral(exp(x)*sech(exp(x)), x)","F",0
352,1,27,0,0.332557," ","integrate(x**2*cos(3*x),x)","\frac{x^{2} \sin{\left(3 x \right)}}{3} + \frac{2 x \cos{\left(3 x \right)}}{9} - \frac{2 \sin{\left(3 x \right)}}{27}"," ",0,"x**2*sin(3*x)/3 + 2*x*cos(3*x)/9 - 2*sin(3*x)/27","A",0
353,0,0,0,0.000000," ","integrate((-x**2-4*x+5)**(1/2),x)","\int \sqrt{- x^{2} - 4 x + 5}\, dx"," ",0,"Integral(sqrt(-x**2 - 4*x + 5), x)","F",0
354,1,24,0,0.131237," ","integrate(x**5/(x**2+2**(1/2)),x)","\frac{x^{4}}{4} - \frac{\sqrt{2} x^{2}}{2} + \log{\left(x^{2} + \sqrt{2} \right)}"," ",0,"x**4/4 - sqrt(2)*x**2/2 + log(x**2 + sqrt(2))","A",0
355,1,46,0,0.156863," ","integrate(sec(x)**5,x)","- \frac{3 \sin^{3}{\left(x \right)} - 5 \sin{\left(x \right)}}{8 \sin^{4}{\left(x \right)} - 16 \sin^{2}{\left(x \right)} + 8} - \frac{3 \log{\left(\sin{\left(x \right)} - 1 \right)}}{16} + \frac{3 \log{\left(\sin{\left(x \right)} + 1 \right)}}{16}"," ",0,"-(3*sin(x)**3 - 5*sin(x))/(8*sin(x)**4 - 16*sin(x)**2 + 8) - 3*log(sin(x) - 1)/16 + 3*log(sin(x) + 1)/16","A",0
356,1,46,0,0.068766," ","integrate(sin(2*x)**6,x)","\frac{5 x}{16} - \frac{\sin^{5}{\left(2 x \right)} \cos{\left(2 x \right)}}{12} - \frac{5 \sin^{3}{\left(2 x \right)} \cos{\left(2 x \right)}}{48} - \frac{5 \sin{\left(2 x \right)} \cos{\left(2 x \right)}}{32}"," ",0,"5*x/16 - sin(2*x)**5*cos(2*x)/12 - 5*sin(2*x)**3*cos(2*x)/48 - 5*sin(2*x)*cos(2*x)/32","A",0
357,1,17,0,5.391797," ","integrate(cos(x)*ln(sin(x))*sin(x)**2,x)","\frac{\log{\left(\sin{\left(x \right)} \right)} \sin^{3}{\left(x \right)}}{3} - \frac{\sin^{3}{\left(x \right)}}{9}"," ",0,"log(sin(x))*sin(x)**3/3 - sin(x)**3/9","A",0
358,1,17,0,0.106185," ","integrate(1/exp(x)/(1+2*exp(x)),x)","- 2 x + 2 \log{\left(e^{x} + \frac{1}{2} \right)} - e^{- x}"," ",0,"-2*x + 2*log(exp(x) + 1/2) - exp(-x)","A",0
359,0,0,0,0.000000," ","integrate((2+3*cos(x))**(1/2)*tan(x),x)","\int \sqrt{3 \cos{\left(x \right)} + 2} \tan{\left(x \right)}\, dx"," ",0,"Integral(sqrt(3*cos(x) + 2)*tan(x), x)","F",0
360,0,0,0,0.000000," ","integrate(x/(x**2-4*x)**(1/2),x)","\int \frac{x}{\sqrt{x \left(x - 4\right)}}\, dx"," ",0,"Integral(x/sqrt(x*(x - 4)), x)","F",0
361,1,17,0,0.071295," ","integrate(cos(x)**5,x)","\frac{\sin^{5}{\left(x \right)}}{5} - \frac{2 \sin^{3}{\left(x \right)}}{3} + \sin{\left(x \right)}"," ",0,"sin(x)**5/5 - 2*sin(x)**3/3 + sin(x)","A",0
362,1,22,0,0.093576," ","integrate(x**4/exp(x),x)","\left(- x^{4} - 4 x^{3} - 12 x^{2} - 24 x - 24\right) e^{- x}"," ",0,"(-x**4 - 4*x**3 - 12*x**2 - 24*x - 24)*exp(-x)","A",0
363,1,34,0,1.089493," ","integrate(x**4/(x**10-2)**(1/2),x)","\begin{cases} \frac{\operatorname{acosh}{\left(\frac{\sqrt{2} x^{5}}{2} \right)}}{5} & \text{for}\: \frac{\left|{x^{10}}\right|}{2} > 1 \\- \frac{i \operatorname{asin}{\left(\frac{\sqrt{2} x^{5}}{2} \right)}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((acosh(sqrt(2)*x**5/2)/5, Abs(x**10)/2 > 1), (-I*asin(sqrt(2)*x**5/2)/5, True))","A",0
364,1,24,0,0.317057," ","integrate(exp(x)*cos(4+3*x),x)","\frac{3 e^{x} \sin{\left(3 x + 4 \right)}}{10} + \frac{e^{x} \cos{\left(3 x + 4 \right)}}{10}"," ",0,"3*exp(x)*sin(3*x + 4)/10 + exp(x)*cos(3*x + 4)/10","A",0
365,-1,0,0,0.000000," ","integrate(exp(x)*ln(1+exp(x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
366,1,20,0,0.353709," ","integrate(x**2*atan(x),x)","\frac{x^{3} \operatorname{atan}{\left(x \right)}}{3} - \frac{x^{2}}{6} + \frac{\log{\left(x^{2} + 1 \right)}}{6}"," ",0,"x**3*atan(x)/3 - x**2/6 + log(x**2 + 1)/6","A",0
367,1,19,0,1.388406," ","integrate((-1+exp(2*x))**(1/2),x)","\begin{cases} \sqrt{e^{2 x} - 1} - \operatorname{acos}{\left(e^{- x} \right)} & \text{for}\: e^{x} < 0 \end{cases}"," ",0,"Piecewise((sqrt(exp(2*x) - 1) - acos(exp(-x)), exp(x) < 0))","A",0
368,1,15,0,1.991467," ","integrate(exp(sin(x))*sin(2*x),x)","2 e^{\sin{\left(x \right)}} \sin{\left(x \right)} - 2 e^{\sin{\left(x \right)}}"," ",0,"2*exp(sin(x))*sin(x) - 2*exp(sin(x))","A",0
369,1,122,0,2.792888," ","integrate(x**2*(-x**2+5)**(1/2),x)","\begin{cases} \frac{i x^{5}}{4 \sqrt{x^{2} - 5}} - \frac{15 i x^{3}}{8 \sqrt{x^{2} - 5}} + \frac{25 i x}{8 \sqrt{x^{2} - 5}} - \frac{25 i \operatorname{acosh}{\left(\frac{\sqrt{5} x}{5} \right)}}{8} & \text{for}\: \frac{\left|{x^{2}}\right|}{5} > 1 \\- \frac{x^{5}}{4 \sqrt{5 - x^{2}}} + \frac{15 x^{3}}{8 \sqrt{5 - x^{2}}} - \frac{25 x}{8 \sqrt{5 - x^{2}}} + \frac{25 \operatorname{asin}{\left(\frac{\sqrt{5} x}{5} \right)}}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*x**5/(4*sqrt(x**2 - 5)) - 15*I*x**3/(8*sqrt(x**2 - 5)) + 25*I*x/(8*sqrt(x**2 - 5)) - 25*I*acosh(sqrt(5)*x/5)/8, Abs(x**2)/5 > 1), (-x**5/(4*sqrt(5 - x**2)) + 15*x**3/(8*sqrt(5 - x**2)) - 25*x/(8*sqrt(5 - x**2)) + 25*asin(sqrt(5)*x/5)/8, True))","A",0
370,1,27,0,0.057892," ","integrate(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}"," ",0,"x**15/15 + x**12/3 + 2*x**9/3 + 2*x**6/3 + x**3/3","B",0
371,1,12,0,0.067556," ","integrate(cos(x)**3*sin(x)**3,x)","- \frac{\sin^{6}{\left(x \right)}}{6} + \frac{\sin^{4}{\left(x \right)}}{4}"," ",0,"-sin(x)**6/6 + sin(x)**4/4","A",0
372,1,29,0,0.076064," ","integrate(sec(x)**4*tan(x)**2,x)","- \frac{2 \sin{\left(x \right)}}{15 \cos{\left(x \right)}} - \frac{\sin{\left(x \right)}}{15 \cos^{3}{\left(x \right)}} + \frac{\sin{\left(x \right)}}{5 \cos^{5}{\left(x \right)}}"," ",0,"-2*sin(x)/(15*cos(x)) - sin(x)/(15*cos(x)**3) + sin(x)/(5*cos(x)**5)","B",0
373,1,36,0,1.023463," ","integrate(x*(1+2*x)**(1/2),x)","\frac{2 x^{2} \sqrt{2 x + 1}}{5} + \frac{x \sqrt{2 x + 1}}{15} - \frac{\sqrt{2 x + 1}}{15}"," ",0,"2*x**2*sqrt(2*x + 1)/5 + x*sqrt(2*x + 1)/15 - sqrt(2*x + 1)/15","A",0
374,1,24,0,0.062570," ","integrate(sin(x)**4,x)","\frac{3 x}{8} - \frac{\sin^{3}{\left(x \right)} \cos{\left(x \right)}}{4} - \frac{3 \sin{\left(x \right)} \cos{\left(x \right)}}{8}"," ",0,"3*x/8 - sin(x)**3*cos(x)/4 - 3*sin(x)*cos(x)/8","A",0
375,1,12,0,0.092535," ","integrate(tan(x)**3,x)","\log{\left(\cos{\left(x \right)} \right)} + \frac{1}{2 \cos^{2}{\left(x \right)}}"," ",0,"log(cos(x)) + 1/(2*cos(x)**2)","A",0
376,1,53,0,2.025464," ","integrate(x**5*(x**2+1)**(1/2),x)","\frac{x^{6} \sqrt{x^{2} + 1}}{7} + \frac{x^{4} \sqrt{x^{2} + 1}}{35} - \frac{4 x^{2} \sqrt{x^{2} + 1}}{105} + \frac{8 \sqrt{x^{2} + 1}}{105}"," ",0,"x**6*sqrt(x**2 + 1)/7 + x**4*sqrt(x**2 + 1)/35 - 4*x**2*sqrt(x**2 + 1)/105 + 8*sqrt(x**2 + 1)/105","A",0
