1,1,8,0,0.103101," ","integrate((1+2*x)**(1/2),x)","\frac{\left(2 x + 1\right)^{\frac{3}{2}}}{3}"," ",0,"(2*x + 1)**(3/2)/3","A",0
2,1,39,0,1.042911," ","integrate(x*(1+3*x)**(1/2),x)","\frac{2 x^{2} \sqrt{3 x + 1}}{5} + \frac{2 x \sqrt{3 x + 1}}{45} - \frac{4 \sqrt{3 x + 1}}{135}"," ",0,"2*x**2*sqrt(3*x + 1)/5 + 2*x*sqrt(3*x + 1)/45 - 4*sqrt(3*x + 1)/135","A",0
3,1,48,0,1.387783," ","integrate(x**2*(1+x)**(1/2),x)","\frac{2 x^{3} \sqrt{x + 1}}{7} + \frac{2 x^{2} \sqrt{x + 1}}{35} - \frac{8 x \sqrt{x + 1}}{105} + \frac{16 \sqrt{x + 1}}{105}"," ",0,"2*x**3*sqrt(x + 1)/7 + 2*x**2*sqrt(x + 1)/35 - 8*x*sqrt(x + 1)/105 + 16*sqrt(x + 1)/105","A",0
4,1,61,0,0.951736," ","integrate(x/(2-3*x)**(1/2),x)","\begin{cases} - \frac{2 i x \sqrt{3 x - 2}}{9} - \frac{8 i \sqrt{3 x - 2}}{27} & \text{for}\: \frac{3 \left|{x}\right|}{2} > 1 \\- \frac{2 x \sqrt{2 - 3 x}}{9} - \frac{8 \sqrt{2 - 3 x}}{27} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*I*x*sqrt(3*x - 2)/9 - 8*I*sqrt(3*x - 2)/27, 3*Abs(x)/2 > 1), (-2*x*sqrt(2 - 3*x)/9 - 8*sqrt(2 - 3*x)/27, True))","A",0
5,1,22,0,0.117114," ","integrate((1+x)/(x**2+2*x+2)**3,x)","- \frac{1}{4 x^{4} + 16 x^{3} + 32 x^{2} + 32 x + 16}"," ",0,"-1/(4*x**4 + 16*x**3 + 32*x**2 + 32*x + 16)","A",0
6,1,8,0,0.068449," ","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
7,1,92,0,0.987629," ","integrate((-1+z)**(1/3)*z,z)","\begin{cases} \frac{3 z^{2} \sqrt[3]{z - 1}}{7} - \frac{3 z \sqrt[3]{z - 1}}{28} - \frac{9 \sqrt[3]{z - 1}}{28} & \text{for}\: \left|{z}\right| > 1 \\\frac{3 z^{2} \sqrt[3]{1 - z} e^{\frac{i \pi}{3}}}{7} - \frac{3 z \sqrt[3]{1 - z} e^{\frac{i \pi}{3}}}{28} - \frac{9 \sqrt[3]{1 - z} e^{\frac{i \pi}{3}}}{28} & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*z**2*(z - 1)**(1/3)/7 - 3*z*(z - 1)**(1/3)/28 - 9*(z - 1)**(1/3)/28, Abs(z) > 1), (3*z**2*(1 - z)**(1/3)*exp(I*pi/3)/7 - 3*z*(1 - z)**(1/3)*exp(I*pi/3)/28 - 9*(1 - z)**(1/3)*exp(I*pi/3)/28, True))","A",0
8,1,8,0,0.067463," ","integrate(cos(x)/sin(x)**3,x)","- \frac{1}{2 \sin^{2}{\left(x \right)}}"," ",0,"-1/(2*sin(x)**2)","A",0
9,1,29,0,0.337285," ","integrate(cos(2*x)*(4-sin(2*x))**(1/2),x)","\frac{\sqrt{4 - \sin{\left(2 x \right)}} \sin{\left(2 x \right)}}{3} - \frac{4 \sqrt{4 - \sin{\left(2 x \right)}}}{3}"," ",0,"sqrt(4 - sin(2*x))*sin(2*x)/3 - 4*sqrt(4 - sin(2*x))/3","B",0
10,1,5,0,0.414792," ","integrate(sin(x)/(3+cos(x))**2,x)","\frac{1}{\cos{\left(x \right)} + 3}"," ",0,"1/(cos(x) + 3)","A",0
11,1,12,0,0.649069," ","integrate(sin(x)/(cos(x)**3)**(1/2),x)","\frac{2 \cos{\left(x \right)}}{\sqrt{\cos^{3}{\left(x \right)}}}"," ",0,"2*cos(x)/sqrt(cos(x)**3)","A",0
12,1,10,0,0.330637," ","integrate(sin((1+x)**(1/2))/(1+x)**(1/2),x)","- 2 \cos{\left(\sqrt{x + 1} \right)}"," ",0,"-2*cos(sqrt(x + 1))","A",0
13,1,7,0,6.726936," ","integrate(x**(-1+n)*sin(x**n),x)","- \frac{\cos{\left(x^{n} \right)}}{n}"," ",0,"-cos(x**n)/n","A",0
14,1,10,0,0.273768," ","integrate(x**5/(-x**6+1)**(1/2),x)","- \frac{\sqrt{1 - x^{6}}}{3}"," ",0,"-sqrt(1 - x**6)/3","A",0
15,1,34,0,1.012530," ","integrate(t*(1+t)**(1/4),t)","\frac{4 t^{2} \sqrt[4]{t + 1}}{9} + \frac{4 t \sqrt[4]{t + 1}}{45} - \frac{16 \sqrt[4]{t + 1}}{45}"," ",0,"4*t**2*(t + 1)**(1/4)/9 + 4*t*(t + 1)**(1/4)/45 - 16*(t + 1)**(1/4)/45","A",0
16,1,8,0,0.734390," ","integrate(1/(x**2+1)**(3/2),x)","\frac{x}{\sqrt{x^{2} + 1}}"," ",0,"x/sqrt(x**2 + 1)","A",0
17,1,27,0,0.376665," ","integrate(x**2*(8*x**3+27)**(2/3),x)","\frac{x^{3} \left(8 x^{3} + 27\right)^{\frac{2}{3}}}{5} + \frac{27 \left(8 x^{3} + 27\right)^{\frac{2}{3}}}{40}"," ",0,"x**3*(8*x**3 + 27)**(2/3)/5 + 27*(8*x**3 + 27)**(2/3)/40","B",0
18,1,12,0,0.350309," ","integrate((cos(x)+sin(x))/(-cos(x)+sin(x))**(1/3),x)","\frac{3 \left(\sin{\left(x \right)} - \cos{\left(x \right)}\right)^{\frac{2}{3}}}{2}"," ",0,"3*(sin(x) - cos(x))**(2/3)/2","A",0
19,0,0,0,0.000000," ","integrate(x/(1+x**2+(x**2+1)**(3/2))**(1/2),x)","\int \frac{x}{\sqrt{\left(x^{2} + 1\right) \left(\sqrt{x^{2} + 1} + 1\right)}}\, dx"," ",0,"Integral(x/sqrt((x**2 + 1)*(sqrt(x**2 + 1) + 1)), x)","F",0
20,1,14,0,0.370085," ","integrate(x/(x**2+1)**(1/2)/((x**2+1)**(1/2)+1)**(1/2),x)","2 \sqrt{\sqrt{x^{2} + 1} + 1}"," ",0,"2*sqrt(sqrt(x**2 + 1) + 1)","A",0
21,1,15,0,1.751100," ","integrate((x**2-2*x+1)**(1/5)/(1-x),x)","- \frac{5 \sqrt[5]{x^{2} - 2 x + 1}}{2}"," ",0,"-5*(x**2 - 2*x + 1)**(1/5)/2","A",0
22,1,7,0,0.182822," ","integrate(x*sin(x),x)","- x \cos{\left(x \right)} + \sin{\left(x \right)}"," ",0,"-x*cos(x) + sin(x)","A",0
23,1,17,0,0.336863," ","integrate(x**2*sin(x),x)","- x^{2} \cos{\left(x \right)} + 2 x \sin{\left(x \right)} + 2 \cos{\left(x \right)}"," ",0,"-x**2*cos(x) + 2*x*sin(x) + 2*cos(x)","A",0
24,1,26,0,0.644169," ","integrate(x**3*cos(x),x)","x^{3} \sin{\left(x \right)} + 3 x^{2} \cos{\left(x \right)} - 6 x \sin{\left(x \right)} - 6 \cos{\left(x \right)}"," ",0,"x**3*sin(x) + 3*x**2*cos(x) - 6*x*sin(x) - 6*cos(x)","A",0
25,1,26,0,0.641249," ","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
26,1,5,0,0.063349," ","integrate(cos(x)*sin(x),x)","\frac{\sin^{2}{\left(x \right)}}{2}"," ",0,"sin(x)**2/2","A",0
27,1,24,0,0.342925," ","integrate(x*cos(x)*sin(x),x)","\frac{x \sin^{2}{\left(x \right)}}{4} - \frac{x \cos^{2}{\left(x \right)}}{4} + \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{4}"," ",0,"x*sin(x)**2/4 - x*cos(x)**2/4 + sin(x)*cos(x)/4","A",0
28,1,10,0,0.068249," ","integrate(sin(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
29,1,8,0,0.073193," ","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
30,1,24,0,0.067867," ","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
31,1,17,0,0.073759," ","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
32,1,36,0,0.066752," ","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
33,1,36,0,0.357652," ","integrate(x*sin(x)**2,x)","\frac{x^{2} \sin^{2}{\left(x \right)}}{4} + \frac{x^{2} \cos^{2}{\left(x \right)}}{4} - \frac{x \sin{\left(x \right)} \cos{\left(x \right)}}{2} + \frac{\sin^{2}{\left(x \right)}}{4}"," ",0,"x**2*sin(x)**2/4 + x**2*cos(x)**2/4 - x*sin(x)*cos(x)/2 + sin(x)**2/4","A",0
34,1,39,0,0.646153," ","integrate(x*sin(x)**3,x)","- x \sin^{2}{\left(x \right)} \cos{\left(x \right)} - \frac{2 x \cos^{3}{\left(x \right)}}{3} + \frac{7 \sin^{3}{\left(x \right)}}{9} + \frac{2 \sin{\left(x \right)} \cos^{2}{\left(x \right)}}{3}"," ",0,"-x*sin(x)**2*cos(x) - 2*x*cos(x)**3/3 + 7*sin(x)**3/9 + 2*sin(x)*cos(x)**2/3","A",0
35,1,56,0,0.652538," ","integrate(x**2*sin(x)**2,x)","\frac{x^{3} \sin^{2}{\left(x \right)}}{6} + \frac{x^{3} \cos^{2}{\left(x \right)}}{6} - \frac{x^{2} \sin{\left(x \right)} \cos{\left(x \right)}}{2} + \frac{x \sin^{2}{\left(x \right)}}{4} - \frac{x \cos^{2}{\left(x \right)}}{4} + \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{4}"," ",0,"x**3*sin(x)**2/6 + x**3*cos(x)**2/6 - x**2*sin(x)*cos(x)/2 + x*sin(x)**2/4 - x*cos(x)**2/4 + sin(x)*cos(x)/4","A",0
36,1,10,0,0.064211," ","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
37,1,8,0,0.067164," ","integrate(cos(x)**3,x)","- \frac{\sin^{3}{\left(x \right)}}{3} + \sin{\left(x \right)}"," ",0,"-sin(x)**3/3 + sin(x)","A",0
38,1,24,0,0.064903," ","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
39,1,180,0,3.708913," ","integrate((a**2-x**2)**(5/2),x)","\begin{cases} - \frac{5 i a^{6} \operatorname{acosh}{\left(\frac{x}{a} \right)}}{16} - \frac{11 i a^{5} x}{16 \sqrt{-1 + \frac{x^{2}}{a^{2}}}} + \frac{59 i a^{3} x^{3}}{48 \sqrt{-1 + \frac{x^{2}}{a^{2}}}} - \frac{17 i a x^{5}}{24 \sqrt{-1 + \frac{x^{2}}{a^{2}}}} + \frac{i x^{7}}{6 a \sqrt{-1 + \frac{x^{2}}{a^{2}}}} & \text{for}\: \left|{\frac{x^{2}}{a^{2}}}\right| > 1 \\\frac{5 a^{6} \operatorname{asin}{\left(\frac{x}{a} \right)}}{16} + \frac{11 a^{5} x \sqrt{1 - \frac{x^{2}}{a^{2}}}}{16} - \frac{13 a^{3} x^{3} \sqrt{1 - \frac{x^{2}}{a^{2}}}}{24} + \frac{a x^{5} \sqrt{1 - \frac{x^{2}}{a^{2}}}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-5*I*a**6*acosh(x/a)/16 - 11*I*a**5*x/(16*sqrt(-1 + x**2/a**2)) + 59*I*a**3*x**3/(48*sqrt(-1 + x**2/a**2)) - 17*I*a*x**5/(24*sqrt(-1 + x**2/a**2)) + I*x**7/(6*a*sqrt(-1 + x**2/a**2)), Abs(x**2/a**2) > 1), (5*a**6*asin(x/a)/16 + 11*a**5*x*sqrt(1 - x**2/a**2)/16 - 13*a**3*x**3*sqrt(1 - x**2/a**2)/24 + a*x**5*sqrt(1 - x**2/a**2)/6, True))","A",0
40,1,39,0,1.241627," ","integrate(x**5/(x**2+5)**(1/2),x)","\frac{x^{4} \sqrt{x^{2} + 5}}{5} - \frac{4 x^{2} \sqrt{x^{2} + 5}}{3} + \frac{40 \sqrt{x^{2} + 5}}{3}"," ",0,"x**4*sqrt(x**2 + 5)/5 - 4*x**2*sqrt(x**2 + 5)/3 + 40*sqrt(x**2 + 5)/3","A",0
41,1,31,0,0.719334," ","integrate(t**3/(t**3+4)**(1/2),t)","\frac{t^{4} \Gamma\left(\frac{4}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{2}, \frac{4}{3} \\ \frac{7}{3} \end{matrix}\middle| {\frac{t^{3} e^{i \pi}}{4}} \right)}}{6 \Gamma\left(\frac{7}{3}\right)}"," ",0,"t**4*gamma(4/3)*hyper((1/2, 4/3), (7/3,), t**3*exp_polar(I*pi)/4)/(6*gamma(7/3))","A",0
42,1,7,0,0.065265," ","integrate(tan(x)**2,x)","- x + \frac{\sin{\left(x \right)}}{\cos{\left(x \right)}}"," ",0,"-x + sin(x)/cos(x)","B",0
43,1,19,0,0.070224," ","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
44,1,8,0,0.068608," ","integrate(cot(x)**2,x)","- x - \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}}"," ",0,"-x - cos(x)/sin(x)","A",0
45,1,19,0,0.077899," ","integrate(cot(x)**4,x)","x + \frac{\cos{\left(x \right)}}{\sin{\left(x \right)}} - \frac{\cos^{3}{\left(x \right)}}{3 \sin^{3}{\left(x \right)}}"," ",0,"x + cos(x)/sin(x) - cos(x)**3/(3*sin(x)**3)","A",0
46,1,26,0,0.196841," ","integrate((2+3*x)*sin(5*x),x)","- \frac{3 x \cos{\left(5 x \right)}}{5} + \frac{3 \sin{\left(5 x \right)}}{25} - \frac{2 \cos{\left(5 x \right)}}{5}"," ",0,"-3*x*cos(5*x)/5 + 3*sin(5*x)/25 - 2*cos(5*x)/5","A",0
47,1,22,0,0.196168," ","integrate(x*(x**2+1)**(1/2),x)","\frac{x^{2} \sqrt{x^{2} + 1}}{3} + \frac{\sqrt{x^{2} + 1}}{3}"," ",0,"x**2*sqrt(x**2 + 1)/3 + sqrt(x**2 + 1)/3","B",0
48,1,58,0,0.063427," ","integrate(x*(x**2-1)**9,x)","\frac{x^{20}}{20} - \frac{x^{18}}{2} + \frac{9 x^{16}}{4} - 6 x^{14} + \frac{21 x^{12}}{2} - \frac{63 x^{10}}{5} + \frac{21 x^{8}}{2} - 6 x^{6} + \frac{9 x^{4}}{4} - \frac{x^{2}}{2}"," ",0,"x**20/20 - x**18/2 + 9*x**16/4 - 6*x**14 + 21*x**12/2 - 63*x**10/5 + 21*x**8/2 - 6*x**6 + 9*x**4/4 - x**2/2","B",0
49,1,15,0,0.101618," ","integrate((3+2*x)/(7+6*x)**3,x)","\frac{- 3 x - 4}{324 x^{2} + 756 x + 441}"," ",0,"(-3*x - 4)/(324*x**2 + 756*x + 441)","A",0
50,1,31,0,0.057777," ","integrate(x**4*(x**5+1)**5,x)","\frac{x^{30}}{30} + \frac{x^{25}}{5} + \frac{x^{20}}{2} + \frac{2 x^{15}}{3} + \frac{x^{10}}{2} + \frac{x^{5}}{5}"," ",0,"x**30/30 + x**25/5 + x**20/2 + 2*x**15/3 + x**10/2 + x**5/5","B",0
51,1,131,0,0.079869," ","integrate((1-x)**20*x**4,x)","\frac{x^{25}}{25} - \frac{5 x^{24}}{6} + \frac{190 x^{23}}{23} - \frac{570 x^{22}}{11} + \frac{1615 x^{21}}{7} - \frac{3876 x^{20}}{5} + 2040 x^{19} - \frac{12920 x^{18}}{3} + 7410 x^{17} - \frac{20995 x^{16}}{2} + \frac{184756 x^{15}}{15} - \frac{83980 x^{14}}{7} + 9690 x^{13} - 6460 x^{12} + \frac{38760 x^{11}}{11} - \frac{7752 x^{10}}{5} + \frac{1615 x^{9}}{3} - \frac{285 x^{8}}{2} + \frac{190 x^{7}}{7} - \frac{10 x^{6}}{3} + \frac{x^{5}}{5}"," ",0,"x**25/25 - 5*x**24/6 + 190*x**23/23 - 570*x**22/11 + 1615*x**21/7 - 3876*x**20/5 + 2040*x**19 - 12920*x**18/3 + 7410*x**17 - 20995*x**16/2 + 184756*x**15/15 - 83980*x**14/7 + 9690*x**13 - 6460*x**12 + 38760*x**11/11 - 7752*x**10/5 + 1615*x**9/3 - 285*x**8/2 + 190*x**7/7 - 10*x**6/3 + x**5/5","B",0
52,1,3,0,0.646065," ","integrate(sin(1/x)/x**2,x)","\cos{\left(\frac{1}{x} \right)}"," ",0,"cos(1/x)","A",0
53,1,60,0,2.031046," ","integrate(sin((-1+x)**(1/4)),x)","- 4 \left(x - 1\right)^{\frac{3}{4}} \cos{\left(\sqrt[4]{x - 1} \right)} + 24 \sqrt[4]{x - 1} \cos{\left(\sqrt[4]{x - 1} \right)} + 12 \sqrt{x - 1} \sin{\left(\sqrt[4]{x - 1} \right)} - 24 \sin{\left(\sqrt[4]{x - 1} \right)}"," ",0,"-4*(x - 1)**(3/4)*cos((x - 1)**(1/4)) + 24*(x - 1)**(1/4)*cos((x - 1)**(1/4)) + 12*sqrt(x - 1)*sin((x - 1)**(1/4)) - 24*sin((x - 1)**(1/4))","A",0
54,1,8,0,0.325410," ","integrate(x*cos(x**2)*sin(x**2),x)","- \frac{\cos^{2}{\left(x^{2} \right)}}{4}"," ",0,"-cos(x**2)**2/4","A",0
55,1,15,0,2.059107," ","integrate(sin(2*x)*(1+3*cos(x)**2)**(1/2),x)","- \frac{2 \left(3 \cos^{2}{\left(x \right)} + 1\right)^{\frac{3}{2}}}{9}"," ",0,"-2*(3*cos(x)**2 + 1)**(3/2)/9","A",0
56,1,7,0,0.059362," ","integrate(1/(2+3*x),x)","\frac{\log{\left(3 x + 2 \right)}}{3}"," ",0,"log(3*x + 2)/3","A",0
57,1,15,0,0.093643," ","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
58,1,12,0,0.089950," ","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
59,1,22,0,0.108458," ","integrate(x*ln(x)**2,x)","\frac{x^{2} \log{\left(x \right)}^{2}}{2} - \frac{x^{2} \log{\left(x \right)}}{2} + \frac{x^{2}}{4}"," ",0,"x**2*log(x)**2/2 - x**2*log(x)/2 + x**2/4","A",0
60,1,3,0,0.058007," ","integrate(1/(1+t),t)","\log{\left(t + 1 \right)}"," ",0,"log(t + 1)","A",0
61,1,3,0,0.067531," ","integrate(cot(x),x)","\log{\left(\sin{\left(x \right)} \right)}"," ",0,"log(sin(x))","A",0
62,1,94,0,0.768099," ","integrate(x**n*ln(a*x),x)","\begin{cases} \frac{n x x^{n} \log{\left(a \right)}}{n^{2} + 2 n + 1} + \frac{n x x^{n} \log{\left(x \right)}}{n^{2} + 2 n + 1} + \frac{x x^{n} \log{\left(a \right)}}{n^{2} + 2 n + 1} + \frac{x x^{n} \log{\left(x \right)}}{n^{2} + 2 n + 1} - \frac{x x^{n}}{n^{2} + 2 n + 1} & \text{for}\: n \neq -1 \\\frac{\log{\left(a x \right)}^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((n*x*x**n*log(a)/(n**2 + 2*n + 1) + n*x*x**n*log(x)/(n**2 + 2*n + 1) + x*x**n*log(a)/(n**2 + 2*n + 1) + x*x**n*log(x)/(n**2 + 2*n + 1) - x*x**n/(n**2 + 2*n + 1), Ne(n, -1)), (log(a*x)**2/2, True))","A",0
63,1,26,0,0.107481," ","integrate(x**2*ln(x)**2,x)","\frac{x^{3} \log{\left(x \right)}^{2}}{3} - \frac{2 x^{3} \log{\left(x \right)}}{9} + \frac{2 x^{3}}{27}"," ",0,"x**3*log(x)**2/3 - 2*x**3*log(x)/9 + 2*x**3/27","A",0
64,1,3,0,0.096677," ","integrate(1/x/ln(x),x)","\log{\left(\log{\left(x \right)} \right)}"," ",0,"log(log(x))","A",0
65,1,8,0,0.096007," ","integrate(ln(1-t)/(1-t),t)","- \frac{\log{\left(1 - t \right)}^{2}}{2}"," ",0,"-log(1 - t)**2/2","A",0
66,1,20,0,5.067972," ","integrate(ln(x)/x/(1+ln(x))**(1/2),x)","\frac{2 \left(\log{\left(x \right)} + 1\right)^{\frac{3}{2}}}{3} - 2 \sqrt{\log{\left(x \right)} + 1}"," ",0,"2*(log(x) + 1)**(3/2)/3 - 2*sqrt(log(x) + 1)","A",0
67,1,37,0,0.125762," ","integrate(x**3*ln(x)**3,x)","\frac{x^{4} \log{\left(x \right)}^{3}}{4} - \frac{3 x^{4} \log{\left(x \right)}^{2}}{16} + \frac{3 x^{4} \log{\left(x \right)}}{32} - \frac{3 x^{4}}{128}"," ",0,"x**4*log(x)**3/4 - 3*x**4*log(x)**2/16 + 3*x**4*log(x)/32 - 3*x**4/128","A",0
68,1,5,0,0.088817," ","integrate(exp(x**3)*x**2,x)","\frac{e^{x^{3}}}{3}"," ",0,"exp(x**3)/3","A",0
69,1,10,0,0.184920," ","integrate(2**(x**(1/2))/x**(1/2),x)","\frac{2 \cdot 2^{\sqrt{x}}}{\log{\left(2 \right)}}"," ",0,"2*2**(sqrt(x))/log(2)","A",0
70,1,7,0,0.357357," ","integrate(exp(2*sin(x))*cos(x),x)","\frac{e^{2 \sin{\left(x \right)}}}{2}"," ",0,"exp(2*sin(x))/2","A",0
71,1,15,0,0.310456," ","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
72,1,15,0,0.323266," ","integrate(exp(x)*cos(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
73,1,7,0,0.083596," ","integrate(1/(1+exp(x)),x)","x - \log{\left(e^{x} + 1 \right)}"," ",0,"x - log(exp(x) + 1)","A",0
74,1,5,0,0.085405," ","integrate(exp(x)*x,x)","\left(x - 1\right) e^{x}"," ",0,"(x - 1)*exp(x)","A",0
75,1,7,0,0.085430," ","integrate(x/exp(x),x)","\left(- x - 1\right) e^{- x}"," ",0,"(-x - 1)*exp(-x)","A",0
76,1,10,0,0.087677," ","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
77,1,17,0,0.090393," ","integrate(x**2/exp(2*x),x)","\frac{\left(- 2 x^{2} - 2 x - 1\right) e^{- 2 x}}{4}"," ",0,"(-2*x**2 - 2*x - 1)*exp(-2*x)/4","A",0
78,1,20,0,0.201137," ","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
79,1,12,0,0.090779," ","integrate(x**3/exp(x**2),x)","\frac{\left(- x^{2} - 1\right) e^{- x^{2}}}{2}"," ",0,"(-x**2 - 1)*exp(-x**2)/2","A",0
80,1,136,0,1.111905," ","integrate(exp(a*x)*cos(b*x),x)","\begin{cases} x & \text{for}\: a = 0 \wedge b = 0 \\\frac{i x e^{- i b x} \sin{\left(b x \right)}}{2} + \frac{x e^{- i b x} \cos{\left(b x \right)}}{2} + \frac{e^{- i b x} \sin{\left(b x \right)}}{2 b} & \text{for}\: a = - i b \\- \frac{i x e^{i b x} \sin{\left(b x \right)}}{2} + \frac{x e^{i b x} \cos{\left(b x \right)}}{2} + \frac{e^{i b x} \sin{\left(b x \right)}}{2 b} & \text{for}\: a = i b \\\frac{a e^{a x} \cos{\left(b x \right)}}{a^{2} + b^{2}} + \frac{b e^{a x} \sin{\left(b x \right)}}{a^{2} + b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x, Eq(a, 0) & Eq(b, 0)), (I*x*exp(-I*b*x)*sin(b*x)/2 + x*exp(-I*b*x)*cos(b*x)/2 + exp(-I*b*x)*sin(b*x)/(2*b), Eq(a, -I*b)), (-I*x*exp(I*b*x)*sin(b*x)/2 + x*exp(I*b*x)*cos(b*x)/2 + exp(I*b*x)*sin(b*x)/(2*b), Eq(a, I*b)), (a*exp(a*x)*cos(b*x)/(a**2 + b**2) + b*exp(a*x)*sin(b*x)/(a**2 + b**2), True))","A",0
81,1,139,0,1.100058," ","integrate(exp(a*x)*sin(b*x),x)","\begin{cases} 0 & \text{for}\: a = 0 \wedge b = 0 \\\frac{x e^{- i b x} \sin{\left(b x \right)}}{2} - \frac{i x e^{- i b x} \cos{\left(b x \right)}}{2} + \frac{i e^{- i b x} \sin{\left(b x \right)}}{2 b} & \text{for}\: a = - i b \\\frac{x e^{i b x} \sin{\left(b x \right)}}{2} + \frac{i x e^{i b x} \cos{\left(b x \right)}}{2} - \frac{i e^{i b x} \sin{\left(b x \right)}}{2 b} & \text{for}\: a = i b \\\frac{a e^{a x} \sin{\left(b x \right)}}{a^{2} + b^{2}} - \frac{b e^{a x} \cos{\left(b x \right)}}{a^{2} + b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((0, Eq(a, 0) & Eq(b, 0)), (x*exp(-I*b*x)*sin(b*x)/2 - I*x*exp(-I*b*x)*cos(b*x)/2 + I*exp(-I*b*x)*sin(b*x)/(2*b), Eq(a, -I*b)), (x*exp(I*b*x)*sin(b*x)/2 + I*x*exp(I*b*x)*cos(b*x)/2 - I*exp(I*b*x)*sin(b*x)/(2*b), Eq(a, I*b)), (a*exp(a*x)*sin(b*x)/(a**2 + b**2) - b*exp(a*x)*cos(b*x)/(a**2 + b**2), True))","A",0
82,1,12,0,0.212279," ","integrate(acot(x),x)","x \operatorname{acot}{\left(x \right)} + \frac{\log{\left(x^{2} + 1 \right)}}{2}"," ",0,"x*acot(x) + log(x**2 + 1)/2","A",0
83,1,17,0,2.182204," ","integrate(asec(x),x)","x \operatorname{asec}{\left(x \right)} - \begin{cases} \operatorname{acosh}{\left(x \right)} & \text{for}\: \left|{x^{2}}\right| > 1 \\- i \operatorname{asin}{\left(x \right)} & \text{otherwise} \end{cases}"," ",0,"x*asec(x) - Piecewise((acosh(x), Abs(x**2) > 1), (-I*asin(x), True))","C",0
84,1,17,0,2.242894," ","integrate(acsc(x),x)","x \operatorname{acsc}{\left(x \right)} + \begin{cases} \operatorname{acosh}{\left(x \right)} & \text{for}\: \left|{x^{2}}\right| > 1 \\- i \operatorname{asin}{\left(x \right)} & \text{otherwise} \end{cases}"," ",0,"x*acsc(x) + Piecewise((acosh(x), Abs(x**2) > 1), (-I*asin(x), True))","A",0
85,1,22,0,0.204215," ","integrate(asin(x)**2,x)","x \operatorname{asin}^{2}{\left(x \right)} - 2 x + 2 \sqrt{1 - x^{2}} \operatorname{asin}{\left(x \right)}"," ",0,"x*asin(x)**2 - 2*x + 2*sqrt(1 - x**2)*asin(x)","A",0
86,1,22,0,2.021348," ","integrate(asin(x)/x**2,x)","\begin{cases} - \operatorname{acosh}{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x^{2}}\right|} > 1 \\i \operatorname{asin}{\left(\frac{1}{x} \right)} & \text{otherwise} \end{cases} - \frac{\operatorname{asin}{\left(x \right)}}{x}"," ",0,"Piecewise((-acosh(1/x), 1/Abs(x**2) > 1), (I*asin(1/x), True)) - asin(x)/x","A",0
87,1,19,0,1.145791," ","integrate(1/(a**2-x**2)**(1/2),x)","\begin{cases} - i \operatorname{acosh}{\left(\frac{x}{a} \right)} & \text{for}\: \left|{\frac{x^{2}}{a^{2}}}\right| > 1 \\\operatorname{asin}{\left(\frac{x}{a} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*acosh(x/a), Abs(x**2/a**2) > 1), (asin(x/a), True))","A",0
88,0,0,0,0.000000," ","integrate(1/(-x**2-2*x+1)**(1/2),x)","\int \frac{1}{\sqrt{- x^{2} - 2 x + 1}}\, dx"," ",0,"Integral(1/sqrt(-x**2 - 2*x + 1), x)","F",0
89,1,20,0,0.117040," ","integrate(1/(a**2+x**2),x)","\frac{- \frac{i \log{\left(- i a + x \right)}}{2} + \frac{i \log{\left(i a + x \right)}}{2}}{a}"," ",0,"(-I*log(-I*a + x)/2 + I*log(I*a + x)/2)/a","C",0
90,1,53,0,0.139000," ","integrate(1/(b*x**2+a),x)","- \frac{\sqrt{- \frac{1}{a b}} \log{\left(- a \sqrt{- \frac{1}{a b}} + x \right)}}{2} + \frac{\sqrt{- \frac{1}{a b}} \log{\left(a \sqrt{- \frac{1}{a b}} + x \right)}}{2}"," ",0,"-sqrt(-1/(a*b))*log(-a*sqrt(-1/(a*b)) + x)/2 + sqrt(-1/(a*b))*log(a*sqrt(-1/(a*b)) + x)/2","B",0
91,1,26,0,0.116631," ","integrate(1/(x**2-x+2),x)","\frac{2 \sqrt{7} \operatorname{atan}{\left(\frac{2 \sqrt{7} x}{7} - \frac{\sqrt{7}}{7} \right)}}{7}"," ",0,"2*sqrt(7)*atan(2*sqrt(7)*x/7 - sqrt(7)/7)/7","A",0
92,1,15,0,0.250737," ","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
93,1,32,0,0.366979," ","integrate(x**2*acos(x),x)","\frac{x^{3} \operatorname{acos}{\left(x \right)}}{3} - \frac{x^{2} \sqrt{1 - x^{2}}}{9} - \frac{2 \sqrt{1 - x^{2}}}{9}"," ",0,"x**3*acos(x)/3 - x**2*sqrt(1 - x**2)/9 - 2*sqrt(1 - x**2)/9","A",0
94,1,29,0,0.357764," ","integrate(x*atan(x)**2,x)","\frac{x^{2} \operatorname{atan}^{2}{\left(x \right)}}{2} - x \operatorname{atan}{\left(x \right)} + \frac{\log{\left(x^{2} + 1 \right)}}{2} + \frac{\operatorname{atan}^{2}{\left(x \right)}}{2}"," ",0,"x**2*atan(x)**2/2 - x*atan(x) + log(x**2 + 1)/2 + atan(x)**2/2","A",0
95,1,19,0,1.519669," ","integrate(atan(x**(1/2)),x)","- \sqrt{x} + x \operatorname{atan}{\left(\sqrt{x} \right)} + \operatorname{atan}{\left(\sqrt{x} \right)}"," ",0,"-sqrt(x) + x*atan(sqrt(x)) + atan(sqrt(x))","A",0
96,1,7,0,1.403037," ","integrate(atan(x**(1/2))/(1+x)/x**(1/2),x)","\operatorname{atan}^{2}{\left(\sqrt{x} \right)}"," ",0,"atan(sqrt(x))**2","A",0
97,1,15,0,0.208156," ","integrate((-x**2+1)**(1/2),x)","\frac{x \sqrt{1 - x^{2}}}{2} + \frac{\operatorname{asin}{\left(x \right)}}{2}"," ",0,"x*sqrt(1 - x**2)/2 + asin(x)/2","A",0
98,1,31,0,18.838588," ","integrate(exp(atan(x))*x/(x**2+1)**(3/2),x)","\frac{x e^{\operatorname{atan}{\left(x \right)}}}{2 \sqrt{x^{2} + 1}} - \frac{e^{\operatorname{atan}{\left(x \right)}}}{2 \sqrt{x^{2} + 1}}"," ",0,"x*exp(atan(x))/(2*sqrt(x**2 + 1)) - exp(atan(x))/(2*sqrt(x**2 + 1))","A",0
99,1,31,0,17.374897," ","integrate(exp(atan(x))/(x**2+1)**(3/2),x)","\frac{x e^{\operatorname{atan}{\left(x \right)}}}{2 \sqrt{x^{2} + 1}} + \frac{e^{\operatorname{atan}{\left(x \right)}}}{2 \sqrt{x^{2} + 1}}"," ",0,"x*exp(atan(x))/(2*sqrt(x**2 + 1)) + exp(atan(x))/(2*sqrt(x**2 + 1))","A",0
100,1,12,0,0.102062," ","integrate(x**2/(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
101,1,15,0,0.112172," ","integrate(exp(x)/(1+exp(2*x)),x)","\operatorname{RootSum} {\left(4 z^{2} + 1, \left( i \mapsto i \log{\left(2 i + e^{x} \right)} \right)\right)}"," ",0,"RootSum(4*_z**2 + 1, Lambda(_i, _i*log(2*_i + exp(x))))","B",0
102,1,19,0,7.744655," ","integrate(acot(exp(x))/exp(x),x)","- x + \frac{\log{\left(e^{2 x} + 1 \right)}}{2} - e^{- x} \operatorname{acot}{\left(e^{x} \right)}"," ",0,"-x + log(exp(2*x) + 1)/2 - exp(-x)*acot(exp(x))","A",0
103,0,0,0,0.000000," ","integrate(((a+x)/(a-x))**(1/2),x)","\int \sqrt{\frac{a + x}{a - x}}\, dx"," ",0,"Integral(sqrt((a + x)/(a - x)), x)","F",0
104,0,0,0,0.000000," ","integrate(((b-x)*(-a+x))**(1/2),x)","\int \sqrt{\left(- a + x\right) \left(b - x\right)}\, dx"," ",0,"Integral(sqrt((-a + x)*(b - x)), x)","F",0
105,0,0,0,0.000000," ","integrate(1/((b-x)*(-a+x))**(1/2),x)","\int \frac{1}{\sqrt{\left(- a + x\right) \left(b - x\right)}}\, dx"," ",0,"Integral(1/sqrt((-a + x)*(b - x)), x)","F",0
106,1,12,0,0.105199," ","integrate((3+5*x)/(x**2+2*x-3),x)","2 \log{\left(x - 1 \right)} + 3 \log{\left(x + 3 \right)}"," ",0,"2*log(x - 1) + 3*log(x + 3)","A",0
107,1,14,0,0.103940," ","integrate((5+2*x)/(x**2+2*x-3),x)","\frac{7 \log{\left(x - 1 \right)}}{4} + \frac{\log{\left(x + 3 \right)}}{4}"," ",0,"7*log(x - 1)/4 + log(x + 3)/4","A",0
108,1,19,0,0.108998," ","integrate((x**3+3*x)/(x**2-2*x-3),x)","\frac{x^{2}}{2} + 2 x + 9 \log{\left(x - 3 \right)} + \log{\left(x + 1 \right)}"," ",0,"x**2/2 + 2*x + 9*log(x - 3) + log(x + 1)","A",0
109,1,17,0,0.140462," ","integrate((2*x**2+5*x-1)/(x**3+x**2-2*x),x)","\frac{\log{\left(x \right)}}{2} + 2 \log{\left(x - 1 \right)} - \frac{\log{\left(x + 2 \right)}}{2}"," ",0,"log(x)/2 + 2*log(x - 1) - log(x + 2)/2","A",0
110,1,19,0,0.118300," ","integrate((x**2+2*x+3)/(-1+x)/(1+x)**2,x)","\frac{3 \log{\left(x - 1 \right)}}{2} - \frac{\log{\left(x + 1 \right)}}{2} + \frac{1}{x + 1}"," ",0,"3*log(x - 1)/2 - log(x + 1)/2 + 1/(x + 1)","A",0
111,1,3,0,0.131925," ","integrate((3*x**2+2*x-2)/(x**3-1),x)","\log{\left(x - 1 \right)}"," ",0,"log(x - 1)","A",0
112,1,14,0,0.170220," ","integrate((x**4-x**3+2*x**2-x+2)/(-1+x)/(x**2+2)**2,x)","\frac{\log{\left(x - 1 \right)}}{3} + \frac{1}{2 x^{2} + 4}"," ",0,"log(x - 1)/3 + 1/(2*x**2 + 4)","A",0
113,1,39,0,0.514174," ","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
114,1,44,0,5.396445," ","integrate(x/(4-x**2+(-x**2+4)**(1/2)),x)","\frac{\log{\left(2 \sqrt{4 - x^{2}} \right)}}{2} - \frac{\log{\left(2 \sqrt{4 - x^{2}} + 2 \right)}}{2} - \frac{\log{\left(x^{2} - \sqrt{4 - x^{2}} - 4 \right)}}{2}"," ",0,"log(2*sqrt(4 - x**2))/2 - log(2*sqrt(4 - x**2) + 2)/2 - log(x**2 - sqrt(4 - x**2) - 4)/2","B",0
115,1,8,0,0.090781," ","integrate((3+2*x)/(-2+x)/(5+x),x)","\log{\left(x^{2} + 3 x - 10 \right)}"," ",0,"log(x**2 + 3*x - 10)","A",0
116,1,20,0,0.132218," ","integrate(x/(1+x)/(2+x)/(3+x),x)","- \frac{\log{\left(x + 1 \right)}}{2} + 2 \log{\left(x + 2 \right)} - \frac{3 \log{\left(x + 3 \right)}}{2}"," ",0,"-log(x + 1)/2 + 2*log(x + 2) - 3*log(x + 3)/2","A",0
117,1,22,0,0.102071," ","integrate(x/(x**3-3*x+2),x)","\frac{2 \log{\left(x - 1 \right)}}{9} - \frac{2 \log{\left(x + 2 \right)}}{9} - \frac{1}{3 x - 3}"," ",0,"2*log(x - 1)/9 - 2*log(x + 2)/9 - 1/(3*x - 3)","A",0
118,1,20,0,0.133204," ","integrate((x**4+2*x-6)/(x**3+x**2-2*x),x)","\frac{x^{2}}{2} - x + 3 \log{\left(x \right)} - \log{\left(x - 1 \right)} + \log{\left(x + 2 \right)}"," ",0,"x**2/2 - x + 3*log(x) - log(x - 1) + log(x + 2)","A",0
119,1,17,0,0.114726," ","integrate((8*x**3+7)/(1+x)/(1+2*x)**3,x)","\frac{6 x}{4 x^{2} + 4 x + 1} + \log{\left(x + 1 \right)}"," ",0,"6*x/(4*x**2 + 4*x + 1) + log(x + 1)","A",0
120,1,14,0,0.097386," ","integrate((4*x**2+x+1)/(x**3-1),x)","2 \log{\left(x - 1 \right)} + \log{\left(x^{2} + x + 1 \right)}"," ",0,"2*log(x - 1) + log(x**2 + x + 1)","A",0
121,1,14,0,0.147962," ","integrate(x**4/(x**4+5*x**2+4),x)","x - \frac{8 \operatorname{atan}{\left(\frac{x}{2} \right)}}{3} + \frac{\operatorname{atan}{\left(x \right)}}{3}"," ",0,"x - 8*atan(x/2)/3 + atan(x)/3","A",0
122,1,8,0,0.101493," ","integrate((2+x)/(x**2+x),x)","2 \log{\left(x \right)} - \log{\left(x + 1 \right)}"," ",0,"2*log(x) - log(x + 1)","A",0
123,1,19,0,0.106341," ","integrate(1/x/(x**2+1)**2,x)","\log{\left(x \right)} - \frac{\log{\left(x^{2} + 1 \right)}}{2} + \frac{1}{2 x^{2} + 2}"," ",0,"log(x) - log(x**2 + 1)/2 + 1/(2*x**2 + 2)","A",0
124,1,46,0,0.199814," ","integrate(1/(1+x)/(2+x)**2/(3+x)**3,x)","\frac{9 x^{2} + 50 x + 68}{4 x^{3} + 32 x^{2} + 84 x + 72} + \frac{\log{\left(x + 1 \right)}}{8} + 2 \log{\left(x + 2 \right)} - \frac{17 \log{\left(x + 3 \right)}}{8}"," ",0,"(9*x**2 + 50*x + 68)/(4*x**3 + 32*x**2 + 84*x + 72) + log(x + 1)/8 + 2*log(x + 2) - 17*log(x + 3)/8","A",0
125,1,8,0,0.079274," ","integrate(x/(1+x)**2,x)","\log{\left(x + 1 \right)} + \frac{1}{x + 1}"," ",0,"log(x + 1) + 1/(x + 1)","A",0
126,1,10,0,0.095913," ","integrate(1/(x**3-x),x)","- \log{\left(x \right)} + \frac{\log{\left(x^{2} - 1 \right)}}{2}"," ",0,"-log(x) + log(x**2 - 1)/2","A",0
127,1,17,0,0.105673," ","integrate(x**2/(x**2+x-6),x)","x + \frac{4 \log{\left(x - 2 \right)}}{5} - \frac{9 \log{\left(x + 3 \right)}}{5}"," ",0,"x + 4*log(x - 2)/5 - 9*log(x + 3)/5","A",0
128,1,8,0,0.083462," ","integrate((2+x)/(x**2-4*x+4),x)","\log{\left(x - 2 \right)} - \frac{4}{x - 2}"," ",0,"log(x - 2) - 4/(x - 2)","A",0
129,1,10,0,0.139928," ","integrate(1/(x**2-4*x+4)/(x**2-4*x+5),x)","- \operatorname{atan}{\left(x - 2 \right)} - \frac{1}{x - 2}"," ",0,"-atan(x - 2) - 1/(x - 2)","A",0
130,1,20,0,0.134621," ","integrate((-3+x)/(x**3+3*x**2+2*x),x)","- \frac{3 \log{\left(x \right)}}{2} + 4 \log{\left(x + 1 \right)} - \frac{5 \log{\left(x + 2 \right)}}{2}"," ",0,"-3*log(x)/2 + 4*log(x + 1) - 5*log(x + 2)/2","A",0
131,1,20,0,0.110622," ","integrate(1/(x**2-1)**2,x)","- \frac{x}{2 x^{2} - 2} - \frac{\log{\left(x - 1 \right)}}{4} + \frac{\log{\left(x + 1 \right)}}{4}"," ",0,"-x/(2*x**2 - 2) - log(x - 1)/4 + log(x + 1)/4","A",0
132,1,17,0,0.095453," ","integrate((1+x)/(x**3-1),x)","\frac{2 \log{\left(x - 1 \right)}}{3} - \frac{\log{\left(x^{2} + x + 1 \right)}}{3}"," ",0,"2*log(x - 1)/3 - log(x**2 + x + 1)/3","A",0
133,1,8,0,0.101009," ","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
134,1,19,0,0.110439," ","integrate(1/(x**4-2*x**3),x)","- \frac{\log{\left(x \right)}}{8} + \frac{\log{\left(x - 2 \right)}}{8} + \frac{x + 1}{4 x^{2}}"," ",0,"-log(x)/8 + log(x - 2)/8 + (x + 1)/(4*x**2)","A",0
135,1,15,0,0.127136," ","integrate((-x**3+1)/x/(x**2+1),x)","- x + \log{\left(x \right)} - \frac{\log{\left(x^{2} + 1 \right)}}{2} + \operatorname{atan}{\left(x \right)}"," ",0,"-x + log(x) - log(x**2 + 1)/2 + atan(x)","A",0
136,1,17,0,0.127348," ","integrate(1/(x**4-1),x)","\frac{\log{\left(x - 1 \right)}}{4} - \frac{\log{\left(x + 1 \right)}}{4} - \frac{\operatorname{atan}{\left(x \right)}}{2}"," ",0,"log(x - 1)/4 - log(x + 1)/4 - atan(x)/2","A",0
137,1,73,0,0.151711," ","integrate(1/(x**4+1),x)","- \frac{\sqrt{2} \log{\left(x^{2} - \sqrt{2} x + 1 \right)}}{8} + \frac{\sqrt{2} \log{\left(x^{2} + \sqrt{2} x + 1 \right)}}{8} + \frac{\sqrt{2} \operatorname{atan}{\left(\sqrt{2} x - 1 \right)}}{4} + \frac{\sqrt{2} \operatorname{atan}{\left(\sqrt{2} x + 1 \right)}}{4}"," ",0,"-sqrt(2)*log(x**2 - sqrt(2)*x + 1)/8 + sqrt(2)*log(x**2 + sqrt(2)*x + 1)/8 + sqrt(2)*atan(sqrt(2)*x - 1)/4 + sqrt(2)*atan(sqrt(2)*x + 1)/4","A",0
138,1,14,0,0.108070," ","integrate(x**2/(x**2+2*x+2)**2,x)","\operatorname{atan}{\left(x + 1 \right)} + \frac{1}{x^{2} + 2 x + 2}"," ",0,"atan(x + 1) + 1/(x**2 + 2*x + 2)","A",0
139,1,8,0,0.117154," ","integrate((4*x**5-1)/(x**5+x+1)**2,x)","- \frac{x}{x^{5} + x + 1}"," ",0,"-x/(x**5 + x + 1)","A",0
140,1,39,0,0.485669," ","integrate(1/(5-cos(x)+2*sin(x)),x)","\frac{\sqrt{5} \left(\operatorname{atan}{\left(\frac{3 \sqrt{5} \tan{\left(\frac{x}{2} \right)}}{5} + \frac{\sqrt{5}}{5} \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{5}"," ",0,"sqrt(5)*(atan(3*sqrt(5)*tan(x/2)/5 + sqrt(5)/5) + pi*floor((x/2 - pi/2)/pi))/5","A",0
141,1,110,0,3.192762," ","integrate(1/(1+a*cos(x)),x)","\begin{cases} \tan{\left(\frac{x}{2} \right)} & \text{for}\: a = 1 \\- \frac{1}{\tan{\left(\frac{x}{2} \right)}} & \text{for}\: a = -1 \\- \frac{\log{\left(- \sqrt{\frac{a}{a - 1} + \frac{1}{a - 1}} + \tan{\left(\frac{x}{2} \right)} \right)}}{a \sqrt{\frac{a}{a - 1} + \frac{1}{a - 1}} - \sqrt{\frac{a}{a - 1} + \frac{1}{a - 1}}} + \frac{\log{\left(\sqrt{\frac{a}{a - 1} + \frac{1}{a - 1}} + \tan{\left(\frac{x}{2} \right)} \right)}}{a \sqrt{\frac{a}{a - 1} + \frac{1}{a - 1}} - \sqrt{\frac{a}{a - 1} + \frac{1}{a - 1}}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((tan(x/2), Eq(a, 1)), (-1/tan(x/2), Eq(a, -1)), (-log(-sqrt(a/(a - 1) + 1/(a - 1)) + tan(x/2))/(a*sqrt(a/(a - 1) + 1/(a - 1)) - sqrt(a/(a - 1) + 1/(a - 1))) + log(sqrt(a/(a - 1) + 1/(a - 1)) + tan(x/2))/(a*sqrt(a/(a - 1) + 1/(a - 1)) - sqrt(a/(a - 1) + 1/(a - 1))), True))","A",0
142,1,36,0,0.343174," ","integrate(1/(1+2*cos(x)),x)","- \frac{\sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} - \sqrt{3} \right)}}{3} + \frac{\sqrt{3} \log{\left(\tan{\left(\frac{x}{2} \right)} + \sqrt{3} \right)}}{3}"," ",0,"-sqrt(3)*log(tan(x/2) - sqrt(3))/3 + sqrt(3)*log(tan(x/2) + sqrt(3))/3","A",0
143,1,32,0,0.292199," ","integrate(1/(1+1/2*cos(x)),x)","\frac{4 \sqrt{3} \left(\operatorname{atan}{\left(\frac{\sqrt{3} \tan{\left(\frac{x}{2} \right)}}{3} \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{3}"," ",0,"4*sqrt(3)*(atan(sqrt(3)*tan(x/2)/3) + pi*floor((x/2 - pi/2)/pi))/3","A",0
144,1,248,0,57.584258," ","integrate(sin(x)**2/(1+sin(x)**2),x)","\frac{31988856 \sqrt{2} x}{31988856 \sqrt{2} + 45239074} + \frac{45239074 x}{31988856 \sqrt{2} + 45239074} - \frac{77227930 \sqrt{3 - 2 \sqrt{2}} \left(\operatorname{atan}{\left(\frac{\tan{\left(\frac{x}{2} \right)}}{\sqrt{3 - 2 \sqrt{2}}} \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{31988856 \sqrt{2} + 45239074} - \frac{54608393 \sqrt{2} \sqrt{3 - 2 \sqrt{2}} \left(\operatorname{atan}{\left(\frac{\tan{\left(\frac{x}{2} \right)}}{\sqrt{3 - 2 \sqrt{2}}} \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{31988856 \sqrt{2} + 45239074} - \frac{13250218 \sqrt{2 \sqrt{2} + 3} \left(\operatorname{atan}{\left(\frac{\tan{\left(\frac{x}{2} \right)}}{\sqrt{2 \sqrt{2} + 3}} \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{31988856 \sqrt{2} + 45239074} - \frac{9369319 \sqrt{2} \sqrt{2 \sqrt{2} + 3} \left(\operatorname{atan}{\left(\frac{\tan{\left(\frac{x}{2} \right)}}{\sqrt{2 \sqrt{2} + 3}} \right)} + \pi \left\lfloor{\frac{\frac{x}{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{31988856 \sqrt{2} + 45239074}"," ",0,"31988856*sqrt(2)*x/(31988856*sqrt(2) + 45239074) + 45239074*x/(31988856*sqrt(2) + 45239074) - 77227930*sqrt(3 - 2*sqrt(2))*(atan(tan(x/2)/sqrt(3 - 2*sqrt(2))) + pi*floor((x/2 - pi/2)/pi))/(31988856*sqrt(2) + 45239074) - 54608393*sqrt(2)*sqrt(3 - 2*sqrt(2))*(atan(tan(x/2)/sqrt(3 - 2*sqrt(2))) + pi*floor((x/2 - pi/2)/pi))/(31988856*sqrt(2) + 45239074) - 13250218*sqrt(2*sqrt(2) + 3)*(atan(tan(x/2)/sqrt(2*sqrt(2) + 3)) + pi*floor((x/2 - pi/2)/pi))/(31988856*sqrt(2) + 45239074) - 9369319*sqrt(2)*sqrt(2*sqrt(2) + 3)*(atan(tan(x/2)/sqrt(2*sqrt(2) + 3)) + pi*floor((x/2 - pi/2)/pi))/(31988856*sqrt(2) + 45239074)","B",0
145,-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
146,0,0,0,0.000000," ","integrate(1/(b*cos(x)+a*sin(x))**2,x)","\int \frac{1}{\left(a \sin{\left(x \right)} + b \cos{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral((a*sin(x) + b*cos(x))**(-2), x)","F",0
147,1,22,0,0.315924," ","integrate(sin(x)/(1+cos(x)+sin(x)),x)","\frac{x}{2} - \log{\left(\tan{\left(\frac{x}{2} \right)} + 1 \right)} + \frac{\log{\left(\tan^{2}{\left(\frac{x}{2} \right)} + 1 \right)}}{2}"," ",0,"x/2 - log(tan(x/2) + 1) + log(tan(x/2)**2 + 1)/2","A",0
148,1,24,0,0.212856," ","integrate((-x**2+3)**(1/2),x)","\frac{x \sqrt{3 - x^{2}}}{2} + \frac{3 \operatorname{asin}{\left(\frac{\sqrt{3} x}{3} \right)}}{2}"," ",0,"x*sqrt(3 - x**2)/2 + 3*asin(sqrt(3)*x/3)/2","A",0
149,1,8,0,0.152629," ","integrate(x/(-x**2+3)**(1/2),x)","- \sqrt{3 - x^{2}}"," ",0,"-sqrt(3 - x**2)","A",0
150,1,88,0,1.380966," ","integrate((-x**2+3)**(1/2)/x,x)","\begin{cases} i \sqrt{x^{2} - 3} - \sqrt{3} \log{\left(x \right)} + \frac{\sqrt{3} \log{\left(x^{2} \right)}}{2} + \sqrt{3} i \operatorname{asin}{\left(\frac{\sqrt{3}}{x} \right)} & \text{for}\: \frac{\left|{x^{2}}\right|}{3} > 1 \\\sqrt{3 - x^{2}} + \frac{\sqrt{3} \log{\left(x^{2} \right)}}{2} - \sqrt{3} \log{\left(\sqrt{1 - \frac{x^{2}}{3}} + 1 \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*sqrt(x**2 - 3) - sqrt(3)*log(x) + sqrt(3)*log(x**2)/2 + sqrt(3)*I*asin(sqrt(3)/x), Abs(x**2)/3 > 1), (sqrt(3 - x**2) + sqrt(3)*log(x**2)/2 - sqrt(3)*log(sqrt(1 - x**2/3) + 1), True))","A",0
151,0,0,0,0.000000," ","integrate((x**2+x)**(1/2)/x,x)","\int \frac{\sqrt{x \left(x + 1\right)}}{x}\, dx"," ",0,"Integral(sqrt(x*(x + 1))/x, x)","F",0
152,1,24,0,0.211581," ","integrate((x**2+5)**(1/2),x)","\frac{x \sqrt{x^{2} + 5}}{2} + \frac{5 \operatorname{asinh}{\left(\frac{\sqrt{5} x}{5} \right)}}{2}"," ",0,"x*sqrt(x**2 + 5)/2 + 5*asinh(sqrt(5)*x/5)/2","A",0
153,0,0,0,0.000000," ","integrate(x/(x**2+x+1)**(1/2),x)","\int \frac{x}{\sqrt{x^{2} + x + 1}}\, dx"," ",0,"Integral(x/sqrt(x**2 + x + 1), x)","F",0
154,0,0,0,0.000000," ","integrate(1/(x**2+x)**(1/2),x)","\int \frac{1}{\sqrt{x^{2} + x}}\, dx"," ",0,"Integral(1/sqrt(x**2 + x), x)","F",0
155,0,0,0,0.000000," ","integrate((-x**2-x+2)**(1/2)/x**2,x)","\int \frac{\sqrt{- \left(x - 1\right) \left(x + 2\right)}}{x^{2}}\, dx"," ",0,"Integral(sqrt(-(x - 1)*(x + 2))/x**2, x)","F",0
156,1,58,0,2.438892," ","integrate(ln(t)/(1+t),t)","\begin{cases} i \pi \log{\left(t + 1 \right)} - \operatorname{Li}_{2}\left(t + 1\right) & \text{for}\: \left|{t + 1}\right| < 1 \\- i \pi \log{\left(\frac{1}{t + 1} \right)} - \operatorname{Li}_{2}\left(t + 1\right) & \text{for}\: \frac{1}{\left|{t + 1}\right|} < 1 \\- i \pi {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {t + 1} \right)} + i \pi {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {t + 1} \right)} - \operatorname{Li}_{2}\left(t + 1\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*pi*log(t + 1) - polylog(2, t + 1), Abs(t + 1) < 1), (-I*pi*log(1/(t + 1)) - polylog(2, t + 1), 1/Abs(t + 1) < 1), (-I*pi*meijerg(((), (1, 1)), ((0, 0), ()), t + 1) + I*pi*meijerg(((1, 1), ()), ((), (0, 0)), t + 1) - polylog(2, t + 1), True))","C",0
157,1,2,0,0.200395," ","integrate(ln(exp(cos(x))),x)","\sin{\left(x \right)}"," ",0,"sin(x)","A",0
158,1,2,0,0.736629," ","integrate(exp(t)/t,t)","\operatorname{Ei}{\left(t \right)}"," ",0,"Ei(t)","A",0
159,1,3,0,0.781742," ","integrate(exp(a*t)/t,t)","\operatorname{Ei}{\left(a t \right)}"," ",0,"Ei(a*t)","A",0
160,1,7,0,0.976009," ","integrate(exp(t)/t**2,t)","\operatorname{Ei}{\left(t \right)} - \frac{e^{t}}{t}"," ",0,"Ei(t) - exp(t)/t","A",0
161,1,10,0,1.054075," ","integrate(exp(1/t),t)","t e^{\frac{1}{t}} - \operatorname{Ei}{\left(\frac{1}{t} \right)}"," ",0,"t*exp(1/t) - Ei(1/t)","A",0
162,0,0,0,0.000000," ","integrate(1/exp(t)/(-1-a+t),t)","\int \frac{e^{- t}}{- a + t - 1}\, dt"," ",0,"Integral(exp(-t)/(-a + t - 1), t)","F",0
163,0,0,0,0.000000," ","integrate(exp(t**2)*t/(t**2+1),t)","\int \frac{t e^{t^{2}}}{t^{2} + 1}\, dt"," ",0,"Integral(t*exp(t**2)/(t**2 + 1), t)","F",0
164,0,0,0,0.000000," ","integrate(exp(t)/(1+t)**2,t)","\int \frac{e^{t}}{\left(t + 1\right)^{2}}\, dt"," ",0,"Integral(exp(t)/(t + 1)**2, t)","F",0
165,0,0,0,0.000000," ","integrate(exp(t)*ln(1+t),t)","\int e^{t} \log{\left(t + 1 \right)}\, dt"," ",0,"Integral(exp(t)*log(t + 1), t)","F",0
166,1,7,0,0.080721," ","integrate(t/exp(t),t)","\left(- t - 1\right) e^{- t}"," ",0,"(-t - 1)*exp(-t)","A",0
167,1,12,0,0.086928," ","integrate(t**2/exp(t),t)","\left(- t^{2} - 2 t - 2\right) e^{- t}"," ",0,"(-t**2 - 2*t - 2)*exp(-t)","A",0
168,1,17,0,0.089111," ","integrate(t**3/exp(t),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
169,1,360,0,0.999681," ","integrate((b1*cos(x)+a1*sin(x))/(b*cos(x)+a*sin(x)),x)","\begin{cases} \tilde{\infty} \left(- a_{1} \log{\left(\cos{\left(x \right)} \right)} + b_{1} x\right) & \text{for}\: a = 0 \wedge b = 0 \\\frac{- a_{1} \log{\left(\cos{\left(x \right)} \right)} + b_{1} x}{b} & \text{for}\: a = 0 \\\frac{i a_{1} x \sin{\left(x \right)}}{2 b \sin{\left(x \right)} + 2 i b \cos{\left(x \right)}} - \frac{a_{1} x \cos{\left(x \right)}}{2 b \sin{\left(x \right)} + 2 i b \cos{\left(x \right)}} - \frac{i a_{1} \cos{\left(x \right)}}{2 b \sin{\left(x \right)} + 2 i b \cos{\left(x \right)}} + \frac{b_{1} x \sin{\left(x \right)}}{2 b \sin{\left(x \right)} + 2 i b \cos{\left(x \right)}} + \frac{i b_{1} x \cos{\left(x \right)}}{2 b \sin{\left(x \right)} + 2 i b \cos{\left(x \right)}} + \frac{b_{1} \cos{\left(x \right)}}{2 b \sin{\left(x \right)} + 2 i b \cos{\left(x \right)}} & \text{for}\: a = - i b \\- \frac{i a_{1} x \sin{\left(x \right)}}{2 b \sin{\left(x \right)} - 2 i b \cos{\left(x \right)}} - \frac{a_{1} x \cos{\left(x \right)}}{2 b \sin{\left(x \right)} - 2 i b \cos{\left(x \right)}} + \frac{i a_{1} \cos{\left(x \right)}}{2 b \sin{\left(x \right)} - 2 i b \cos{\left(x \right)}} + \frac{b_{1} x \sin{\left(x \right)}}{2 b \sin{\left(x \right)} - 2 i b \cos{\left(x \right)}} - \frac{i b_{1} x \cos{\left(x \right)}}{2 b \sin{\left(x \right)} - 2 i b \cos{\left(x \right)}} + \frac{b_{1} \cos{\left(x \right)}}{2 b \sin{\left(x \right)} - 2 i b \cos{\left(x \right)}} & \text{for}\: a = i b \\\frac{a a_{1} x}{a^{2} + b^{2}} + \frac{a b_{1} \log{\left(\sin{\left(x \right)} + \frac{b \cos{\left(x \right)}}{a} \right)}}{a^{2} + b^{2}} - \frac{a_{1} b \log{\left(\sin{\left(x \right)} + \frac{b \cos{\left(x \right)}}{a} \right)}}{a^{2} + b^{2}} + \frac{b b_{1} x}{a^{2} + b^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*(-a1*log(cos(x)) + b1*x), Eq(a, 0) & Eq(b, 0)), ((-a1*log(cos(x)) + b1*x)/b, Eq(a, 0)), (I*a1*x*sin(x)/(2*b*sin(x) + 2*I*b*cos(x)) - a1*x*cos(x)/(2*b*sin(x) + 2*I*b*cos(x)) - I*a1*cos(x)/(2*b*sin(x) + 2*I*b*cos(x)) + b1*x*sin(x)/(2*b*sin(x) + 2*I*b*cos(x)) + I*b1*x*cos(x)/(2*b*sin(x) + 2*I*b*cos(x)) + b1*cos(x)/(2*b*sin(x) + 2*I*b*cos(x)), Eq(a, -I*b)), (-I*a1*x*sin(x)/(2*b*sin(x) - 2*I*b*cos(x)) - a1*x*cos(x)/(2*b*sin(x) - 2*I*b*cos(x)) + I*a1*cos(x)/(2*b*sin(x) - 2*I*b*cos(x)) + b1*x*sin(x)/(2*b*sin(x) - 2*I*b*cos(x)) - I*b1*x*cos(x)/(2*b*sin(x) - 2*I*b*cos(x)) + b1*cos(x)/(2*b*sin(x) - 2*I*b*cos(x)), Eq(a, I*b)), (a*a1*x/(a**2 + b**2) + a*b1*log(sin(x) + b*cos(x)/a)/(a**2 + b**2) - a1*b*log(sin(x) + b*cos(x)/a)/(a**2 + b**2) + b*b1*x/(a**2 + b**2), True))","A",0
170,1,2,0,0.457764," ","integrate(1/ln(t),t)","\operatorname{li}{\left(t \right)}"," ",0,"li(t)","A",0
171,1,7,0,0.465212," ","integrate(1/ln(t)**2,t)","- \frac{t}{\log{\left(t \right)}} + \operatorname{li}{\left(t \right)}"," ",0,"-t/log(t) + li(t)","A",0
172,1,24,0,2.743245," ","integrate(ln(t)**(-1-n),t)","\left(- \log{\left(t \right)}\right)^{n + 1} \log{\left(t \right)}^{- n - 1} \Gamma\left(- n, - \log{\left(t \right)}\right)"," ",0,"(-log(t))**(n + 1)*log(t)**(-n - 1)*uppergamma(-n, -log(t))","A",0
173,0,0,0,0.000000," ","integrate(exp(2*t)/(-1+t),t)","\int \frac{e^{2 t}}{t - 1}\, dt"," ",0,"Integral(exp(2*t)/(t - 1), t)","F",0
174,0,0,0,0.000000," ","integrate(exp(2*x)/(x**2-3*x+2),x)","\int \frac{e^{2 x}}{\left(x - 2\right) \left(x - 1\right)}\, dx"," ",0,"Integral(exp(2*x)/((x - 2)*(x - 1)), x)","F",0
175,1,27,0,0.625279," ","integrate(1/(t**3+1)**(1/2),t)","\frac{t \Gamma\left(\frac{1}{3}\right) {{}_{2}F_{1}\left(\begin{matrix} \frac{1}{3}, \frac{1}{2} \\ \frac{4}{3} \end{matrix}\middle| {t^{3} e^{i \pi}} \right)}}{3 \Gamma\left(\frac{4}{3}\right)}"," ",0,"t*gamma(1/3)*hyper((1/3, 1/2), (4/3,), t**3*exp_polar(I*pi))/(3*gamma(4/3))","A",0
