1,0,0,0,0.000000," ","integrate((c*x**2+b*x)**(7/2),x)","\int \left(b x + c x^{2}\right)^{\frac{7}{2}}\, dx"," ",0,"Integral((b*x + c*x**2)**(7/2), x)","F",0
2,0,0,0,0.000000," ","integrate((3*I*x+4*x**2)**(7/2),x)","\int \left(4 x^{2} + 3 i x\right)^{\frac{7}{2}}\, dx"," ",0,"Integral((4*x**2 + 3*I*x)**(7/2), x)","F",0
3,0,0,0,0.000000," ","integrate((3*I*x+4*x**2)**(5/2),x)","\int \left(4 x^{2} + 3 i x\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((4*x**2 + 3*I*x)**(5/2), x)","F",0
4,0,0,0,0.000000," ","integrate((3*I*x+4*x**2)**(3/2),x)","\int \left(4 x^{2} + 3 i x\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((4*x**2 + 3*I*x)**(3/2), x)","F",0
5,0,0,0,0.000000," ","integrate((3*I*x+4*x**2)**(1/2),x)","\int \sqrt{4 x^{2} + 3 i x}\, dx"," ",0,"Integral(sqrt(4*x**2 + 3*I*x), x)","F",0
6,0,0,0,0.000000," ","integrate((-4*x**2+3*x)**(7/2),x)","\int \left(- 4 x^{2} + 3 x\right)^{\frac{7}{2}}\, dx"," ",0,"Integral((-4*x**2 + 3*x)**(7/2), x)","F",0
7,0,0,0,0.000000," ","integrate((-4*x**2+3*x)**(5/2),x)","\int \left(- 4 x^{2} + 3 x\right)^{\frac{5}{2}}\, dx"," ",0,"Integral((-4*x**2 + 3*x)**(5/2), x)","F",0
8,0,0,0,0.000000," ","integrate((-4*x**2+3*x)**(3/2),x)","\int \left(- 4 x^{2} + 3 x\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((-4*x**2 + 3*x)**(3/2), x)","F",0
9,0,0,0,0.000000," ","integrate((-4*x**2+3*x)**(1/2),x)","\int \sqrt{- 4 x^{2} + 3 x}\, dx"," ",0,"Integral(sqrt(-4*x**2 + 3*x), x)","F",0
10,0,0,0,0.000000," ","integrate((-x**2+6*x)**(1/2),x)","\int \sqrt{- x^{2} + 6 x}\, dx"," ",0,"Integral(sqrt(-x**2 + 6*x), x)","F",0
11,0,0,0,0.000000," ","integrate((-9*x**2+5*x)**(1/2),x)","\int \sqrt{- 9 x^{2} + 5 x}\, dx"," ",0,"Integral(sqrt(-9*x**2 + 5*x), x)","F",0
12,0,0,0,0.000000," ","integrate((-x**2+x)**(3/2),x)","\int \left(- x^{2} + x\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((-x**2 + x)**(3/2), x)","F",0
13,0,0,0,0.000000," ","integrate((x**2+4*x)**(1/2),x)","\int \sqrt{x^{2} + 4 x}\, dx"," ",0,"Integral(sqrt(x**2 + 4*x), x)","F",0
14,0,0,0,0.000000," ","integrate((x**2-8*x)**(1/2),x)","\int \sqrt{x^{2} - 8 x}\, dx"," ",0,"Integral(sqrt(x**2 - 8*x), x)","F",0
15,0,0,0,0.000000," ","integrate((x**2-x)**(1/2),x)","\int \sqrt{x^{2} - x}\, dx"," ",0,"Integral(sqrt(x**2 - x), x)","F",0
16,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x)**(7/2),x)","\int \frac{1}{\left(b x + c x^{2}\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((b*x + c*x**2)**(-7/2), x)","F",0
17,0,0,0,0.000000," ","integrate(1/(3*I*x+4*x**2)**(1/2),x)","\int \frac{1}{\sqrt{4 x^{2} + 3 i x}}\, dx"," ",0,"Integral(1/sqrt(4*x**2 + 3*I*x), x)","F",0
18,0,0,0,0.000000," ","integrate(1/(3*I*x+4*x**2)**(3/2),x)","\int \frac{1}{\left(4 x^{2} + 3 i x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((4*x**2 + 3*I*x)**(-3/2), x)","F",0
19,0,0,0,0.000000," ","integrate(1/(3*I*x+4*x**2)**(5/2),x)","\int \frac{1}{\left(4 x^{2} + 3 i x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((4*x**2 + 3*I*x)**(-5/2), x)","F",0
20,0,0,0,0.000000," ","integrate(1/(3*I*x+4*x**2)**(7/2),x)","\int \frac{1}{\left(4 x^{2} + 3 i x\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((4*x**2 + 3*I*x)**(-7/2), x)","F",0
21,0,0,0,0.000000," ","integrate(1/(-4*x**2+3*x)**(1/2),x)","\int \frac{1}{\sqrt{- 4 x^{2} + 3 x}}\, dx"," ",0,"Integral(1/sqrt(-4*x**2 + 3*x), x)","F",0
22,0,0,0,0.000000," ","integrate(1/(-4*x**2+3*x)**(3/2),x)","\int \frac{1}{\left(- 4 x^{2} + 3 x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((-4*x**2 + 3*x)**(-3/2), x)","F",0
23,0,0,0,0.000000," ","integrate(1/(-4*x**2+3*x)**(5/2),x)","\int \frac{1}{\left(- 4 x^{2} + 3 x\right)^{\frac{5}{2}}}\, dx"," ",0,"Integral((-4*x**2 + 3*x)**(-5/2), x)","F",0
24,0,0,0,0.000000," ","integrate(1/(-4*x**2+3*x)**(7/2),x)","\int \frac{1}{\left(- 4 x^{2} + 3 x\right)^{\frac{7}{2}}}\, dx"," ",0,"Integral((-4*x**2 + 3*x)**(-7/2), x)","F",0
25,0,0,0,0.000000," ","integrate(1/(-b**2*x**2+b*x)**(1/2),x)","\int \frac{1}{\sqrt{- b^{2} x^{2} + b x}}\, dx"," ",0,"Integral(1/sqrt(-b**2*x**2 + b*x), x)","F",0
26,0,0,0,0.000000," ","integrate(1/(b**2*x**2+b*x)**(1/2),x)","\int \frac{1}{\sqrt{b^{2} x^{2} + b x}}\, dx"," ",0,"Integral(1/sqrt(b**2*x**2 + b*x), x)","F",0
27,0,0,0,0.000000," ","integrate(1/(-x**2+6*x)**(1/2),x)","\int \frac{1}{\sqrt{- x^{2} + 6 x}}\, dx"," ",0,"Integral(1/sqrt(-x**2 + 6*x), x)","F",0
28,0,0,0,0.000000," ","integrate(1/(x**2+4*x)**(1/2),x)","\int \frac{1}{\sqrt{x^{2} + 4 x}}\, dx"," ",0,"Integral(1/sqrt(x**2 + 4*x), x)","F",0
29,0,0,0,0.000000," ","integrate(1/(x**2-2*x)**(1/2),x)","\int \frac{1}{\sqrt{x^{2} - 2 x}}\, dx"," ",0,"Integral(1/sqrt(x**2 - 2*x), x)","F",0
30,0,0,0,0.000000," ","integrate((c*x**2+b*x)**(4/3),x)","\int \left(b x + c x^{2}\right)^{\frac{4}{3}}\, dx"," ",0,"Integral((b*x + c*x**2)**(4/3), x)","F",0
31,0,0,0,0.000000," ","integrate((c*x**2+b*x)**(1/3),x)","\int \sqrt[3]{b x + c x^{2}}\, dx"," ",0,"Integral((b*x + c*x**2)**(1/3), x)","F",0
32,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x)**(2/3),x)","\int \frac{1}{\left(b x + c x^{2}\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral((b*x + c*x**2)**(-2/3), x)","F",0
33,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x)**(5/3),x)","\int \frac{1}{\left(b x + c x^{2}\right)^{\frac{5}{3}}}\, dx"," ",0,"Integral((b*x + c*x**2)**(-5/3), x)","F",0
34,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x)**(8/3),x)","\int \frac{1}{\left(b x + c x^{2}\right)^{\frac{8}{3}}}\, dx"," ",0,"Integral((b*x + c*x**2)**(-8/3), x)","F",0
35,0,0,0,0.000000," ","integrate((c*x**2+b*x)**(5/3),x)","\int \left(b x + c x^{2}\right)^{\frac{5}{3}}\, dx"," ",0,"Integral((b*x + c*x**2)**(5/3), x)","F",0
36,0,0,0,0.000000," ","integrate((c*x**2+b*x)**(2/3),x)","\int \left(b x + c x^{2}\right)^{\frac{2}{3}}\, dx"," ",0,"Integral((b*x + c*x**2)**(2/3), x)","F",0
37,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x)**(1/3),x)","\int \frac{1}{\sqrt[3]{b x + c x^{2}}}\, dx"," ",0,"Integral((b*x + c*x**2)**(-1/3), x)","F",0
38,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x)**(4/3),x)","\int \frac{1}{\left(b x + c x^{2}\right)^{\frac{4}{3}}}\, dx"," ",0,"Integral((b*x + c*x**2)**(-4/3), x)","F",0
39,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x)**(7/3),x)","\int \frac{1}{\left(b x + c x^{2}\right)^{\frac{7}{3}}}\, dx"," ",0,"Integral((b*x + c*x**2)**(-7/3), x)","F",0
40,0,0,0,0.000000," ","integrate((c*x**2+b*x)**(5/4),x)","\int \left(b x + c x^{2}\right)^{\frac{5}{4}}\, dx"," ",0,"Integral((b*x + c*x**2)**(5/4), x)","F",0
41,0,0,0,0.000000," ","integrate((c*x**2+b*x)**(3/4),x)","\int \left(b x + c x^{2}\right)^{\frac{3}{4}}\, dx"," ",0,"Integral((b*x + c*x**2)**(3/4), x)","F",0
42,0,0,0,0.000000," ","integrate((c*x**2+b*x)**(1/4),x)","\int \sqrt[4]{b x + c x^{2}}\, dx"," ",0,"Integral((b*x + c*x**2)**(1/4), x)","F",0
43,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x)**(1/4),x)","\int \frac{1}{\sqrt[4]{b x + c x^{2}}}\, dx"," ",0,"Integral((b*x + c*x**2)**(-1/4), x)","F",0
44,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x)**(3/4),x)","\int \frac{1}{\left(b x + c x^{2}\right)^{\frac{3}{4}}}\, dx"," ",0,"Integral((b*x + c*x**2)**(-3/4), x)","F",0
45,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x)**(5/4),x)","\int \frac{1}{\left(b x + c x^{2}\right)^{\frac{5}{4}}}\, dx"," ",0,"Integral((b*x + c*x**2)**(-5/4), x)","F",0
46,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x)**(9/4),x)","\int \frac{1}{\left(b x + c x^{2}\right)^{\frac{9}{4}}}\, dx"," ",0,"Integral((b*x + c*x**2)**(-9/4), x)","F",0
47,0,0,0,0.000000," ","integrate(1/(c*x**2+b*x)**(13/4),x)","\int \frac{1}{\left(b x + c x^{2}\right)^{\frac{13}{4}}}\, dx"," ",0,"Integral((b*x + c*x**2)**(-13/4), x)","F",0
48,0,0,0,0.000000," ","integrate((c*x**2+b*x)**p,x)","\int \left(b x + c x^{2}\right)^{p}\, dx"," ",0,"Integral((b*x + c*x**2)**p, x)","F",0
49,1,49,0,0.069626," ","integrate((c*x**2+a)**4,x)","a^{4} x + \frac{4 a^{3} c x^{3}}{3} + \frac{6 a^{2} c^{2} x^{5}}{5} + \frac{4 a c^{3} x^{7}}{7} + \frac{c^{4} x^{9}}{9}"," ",0,"a**4*x + 4*a**3*c*x**3/3 + 6*a**2*c**2*x**5/5 + 4*a*c**3*x**7/7 + c**4*x**9/9","A",0
50,1,32,0,0.070348," ","integrate((c*x**2+a)**3,x)","a^{3} x + a^{2} c x^{3} + \frac{3 a c^{2} x^{5}}{5} + \frac{c^{3} x^{7}}{7}"," ",0,"a**3*x + a**2*c*x**3 + 3*a*c**2*x**5/5 + c**3*x**7/7","A",0
51,1,22,0,0.063427," ","integrate((c*x**2+a)**2,x)","a^{2} x + \frac{2 a c x^{3}}{3} + \frac{c^{2} x^{5}}{5}"," ",0,"a**2*x + 2*a*c*x**3/3 + c**2*x**5/5","A",0
52,1,8,0,0.062233," ","integrate(c*x**2+a,x)","a x + \frac{c x^{3}}{3}"," ",0,"a*x + c*x**3/3","A",0
53,1,53,0,0.141126," ","integrate(1/(c*x**2+a),x)","- \frac{\sqrt{- \frac{1}{a c}} \log{\left(- a \sqrt{- \frac{1}{a c}} + x \right)}}{2} + \frac{\sqrt{- \frac{1}{a c}} \log{\left(a \sqrt{- \frac{1}{a c}} + x \right)}}{2}"," ",0,"-sqrt(-1/(a*c))*log(-a*sqrt(-1/(a*c)) + x)/2 + sqrt(-1/(a*c))*log(a*sqrt(-1/(a*c)) + x)/2","B",0
54,1,78,0,0.223353," ","integrate(1/(c*x**2+a)**2,x)","\frac{x}{2 a^{2} + 2 a c x^{2}} - \frac{\sqrt{- \frac{1}{a^{3} c}} \log{\left(- a^{2} \sqrt{- \frac{1}{a^{3} c}} + x \right)}}{4} + \frac{\sqrt{- \frac{1}{a^{3} c}} \log{\left(a^{2} \sqrt{- \frac{1}{a^{3} c}} + x \right)}}{4}"," ",0,"x/(2*a**2 + 2*a*c*x**2) - sqrt(-1/(a**3*c))*log(-a**2*sqrt(-1/(a**3*c)) + x)/4 + sqrt(-1/(a**3*c))*log(a**2*sqrt(-1/(a**3*c)) + x)/4","B",0
55,1,105,0,0.338940," ","integrate(1/(c*x**2+a)**3,x)","- \frac{3 \sqrt{- \frac{1}{a^{5} c}} \log{\left(- a^{3} \sqrt{- \frac{1}{a^{5} c}} + x \right)}}{16} + \frac{3 \sqrt{- \frac{1}{a^{5} c}} \log{\left(a^{3} \sqrt{- \frac{1}{a^{5} c}} + x \right)}}{16} + \frac{5 a x + 3 c x^{3}}{8 a^{4} + 16 a^{3} c x^{2} + 8 a^{2} c^{2} x^{4}}"," ",0,"-3*sqrt(-1/(a**5*c))*log(-a**3*sqrt(-1/(a**5*c)) + x)/16 + 3*sqrt(-1/(a**5*c))*log(a**3*sqrt(-1/(a**5*c)) + x)/16 + (5*a*x + 3*c*x**3)/(8*a**4 + 16*a**3*c*x**2 + 8*a**2*c**2*x**4)","A",0
56,1,97,0,4.426499," ","integrate((c*x**2+a)**(5/2),x)","\frac{11 a^{\frac{5}{2}} x \sqrt{1 + \frac{c x^{2}}{a}}}{16} + \frac{13 a^{\frac{3}{2}} c x^{3} \sqrt{1 + \frac{c x^{2}}{a}}}{24} + \frac{\sqrt{a} c^{2} x^{5} \sqrt{1 + \frac{c x^{2}}{a}}}{6} + \frac{5 a^{3} \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{a}} \right)}}{16 \sqrt{c}}"," ",0,"11*a**(5/2)*x*sqrt(1 + c*x**2/a)/16 + 13*a**(3/2)*c*x**3*sqrt(1 + c*x**2/a)/24 + sqrt(a)*c**2*x**5*sqrt(1 + c*x**2/a)/6 + 5*a**3*asinh(sqrt(c)*x/sqrt(a))/(16*sqrt(c))","A",0
57,1,70,0,3.007972," ","integrate((c*x**2+a)**(3/2),x)","\frac{5 a^{\frac{3}{2}} x \sqrt{1 + \frac{c x^{2}}{a}}}{8} + \frac{\sqrt{a} c x^{3} \sqrt{1 + \frac{c x^{2}}{a}}}{4} + \frac{3 a^{2} \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{a}} \right)}}{8 \sqrt{c}}"," ",0,"5*a**(3/2)*x*sqrt(1 + c*x**2/a)/8 + sqrt(a)*c*x**3*sqrt(1 + c*x**2/a)/4 + 3*a**2*asinh(sqrt(c)*x/sqrt(a))/(8*sqrt(c))","A",0
58,1,41,0,1.906954," ","integrate((c*x**2+a)**(1/2),x)","\frac{\sqrt{a} x \sqrt{1 + \frac{c x^{2}}{a}}}{2} + \frac{a \operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{a}} \right)}}{2 \sqrt{c}}"," ",0,"sqrt(a)*x*sqrt(1 + c*x**2/a)/2 + a*asinh(sqrt(c)*x/sqrt(a))/(2*sqrt(c))","A",0
59,1,17,0,1.050852," ","integrate(1/(c*x**2+a)**(1/2),x)","\frac{\operatorname{asinh}{\left(\frac{\sqrt{c} x}{\sqrt{a}} \right)}}{\sqrt{c}}"," ",0,"asinh(sqrt(c)*x/sqrt(a))/sqrt(c)","A",0
60,1,17,0,0.647427," ","integrate(1/(c*x**2+a)**(3/2),x)","\frac{x}{a^{\frac{3}{2}} \sqrt{1 + \frac{c x^{2}}{a}}}"," ",0,"x/(a**(3/2)*sqrt(1 + c*x**2/a))","A",0
61,1,95,0,0.862246," ","integrate(1/(c*x**2+a)**(5/2),x)","\frac{3 a x}{3 a^{\frac{7}{2}} \sqrt{1 + \frac{c x^{2}}{a}} + 3 a^{\frac{5}{2}} c x^{2} \sqrt{1 + \frac{c x^{2}}{a}}} + \frac{2 c x^{3}}{3 a^{\frac{7}{2}} \sqrt{1 + \frac{c x^{2}}{a}} + 3 a^{\frac{5}{2}} c x^{2} \sqrt{1 + \frac{c x^{2}}{a}}}"," ",0,"3*a*x/(3*a**(7/2)*sqrt(1 + c*x**2/a) + 3*a**(5/2)*c*x**2*sqrt(1 + c*x**2/a)) + 2*c*x**3/(3*a**(7/2)*sqrt(1 + c*x**2/a) + 3*a**(5/2)*c*x**2*sqrt(1 + c*x**2/a))","B",0
62,1,413,0,1.461110," ","integrate(1/(c*x**2+a)**(7/2),x)","\frac{15 a^{5} x}{15 a^{\frac{17}{2}} \sqrt{1 + \frac{c x^{2}}{a}} + 45 a^{\frac{15}{2}} c x^{2} \sqrt{1 + \frac{c x^{2}}{a}} + 45 a^{\frac{13}{2}} c^{2} x^{4} \sqrt{1 + \frac{c x^{2}}{a}} + 15 a^{\frac{11}{2}} c^{3} x^{6} \sqrt{1 + \frac{c x^{2}}{a}}} + \frac{35 a^{4} c x^{3}}{15 a^{\frac{17}{2}} \sqrt{1 + \frac{c x^{2}}{a}} + 45 a^{\frac{15}{2}} c x^{2} \sqrt{1 + \frac{c x^{2}}{a}} + 45 a^{\frac{13}{2}} c^{2} x^{4} \sqrt{1 + \frac{c x^{2}}{a}} + 15 a^{\frac{11}{2}} c^{3} x^{6} \sqrt{1 + \frac{c x^{2}}{a}}} + \frac{28 a^{3} c^{2} x^{5}}{15 a^{\frac{17}{2}} \sqrt{1 + \frac{c x^{2}}{a}} + 45 a^{\frac{15}{2}} c x^{2} \sqrt{1 + \frac{c x^{2}}{a}} + 45 a^{\frac{13}{2}} c^{2} x^{4} \sqrt{1 + \frac{c x^{2}}{a}} + 15 a^{\frac{11}{2}} c^{3} x^{6} \sqrt{1 + \frac{c x^{2}}{a}}} + \frac{8 a^{2} c^{3} x^{7}}{15 a^{\frac{17}{2}} \sqrt{1 + \frac{c x^{2}}{a}} + 45 a^{\frac{15}{2}} c x^{2} \sqrt{1 + \frac{c x^{2}}{a}} + 45 a^{\frac{13}{2}} c^{2} x^{4} \sqrt{1 + \frac{c x^{2}}{a}} + 15 a^{\frac{11}{2}} c^{3} x^{6} \sqrt{1 + \frac{c x^{2}}{a}}}"," ",0,"15*a**5*x/(15*a**(17/2)*sqrt(1 + c*x**2/a) + 45*a**(15/2)*c*x**2*sqrt(1 + c*x**2/a) + 45*a**(13/2)*c**2*x**4*sqrt(1 + c*x**2/a) + 15*a**(11/2)*c**3*x**6*sqrt(1 + c*x**2/a)) + 35*a**4*c*x**3/(15*a**(17/2)*sqrt(1 + c*x**2/a) + 45*a**(15/2)*c*x**2*sqrt(1 + c*x**2/a) + 45*a**(13/2)*c**2*x**4*sqrt(1 + c*x**2/a) + 15*a**(11/2)*c**3*x**6*sqrt(1 + c*x**2/a)) + 28*a**3*c**2*x**5/(15*a**(17/2)*sqrt(1 + c*x**2/a) + 45*a**(15/2)*c*x**2*sqrt(1 + c*x**2/a) + 45*a**(13/2)*c**2*x**4*sqrt(1 + c*x**2/a) + 15*a**(11/2)*c**3*x**6*sqrt(1 + c*x**2/a)) + 8*a**2*c**3*x**7/(15*a**(17/2)*sqrt(1 + c*x**2/a) + 45*a**(15/2)*c*x**2*sqrt(1 + c*x**2/a) + 45*a**(13/2)*c**2*x**4*sqrt(1 + c*x**2/a) + 15*a**(11/2)*c**3*x**6*sqrt(1 + c*x**2/a))","B",0
63,1,1265,0,2.203114," ","integrate(1/(c*x**2+a)**(9/2),x)","\frac{35 a^{14} x}{35 a^{\frac{37}{2}} \sqrt{1 + \frac{c x^{2}}{a}} + 210 a^{\frac{35}{2}} c x^{2} \sqrt{1 + \frac{c x^{2}}{a}} + 525 a^{\frac{33}{2}} c^{2} x^{4} \sqrt{1 + \frac{c x^{2}}{a}} + 700 a^{\frac{31}{2}} c^{3} x^{6} \sqrt{1 + \frac{c x^{2}}{a}} + 525 a^{\frac{29}{2}} c^{4} x^{8} \sqrt{1 + \frac{c x^{2}}{a}} + 210 a^{\frac{27}{2}} c^{5} x^{10} \sqrt{1 + \frac{c x^{2}}{a}} + 35 a^{\frac{25}{2}} c^{6} x^{12} \sqrt{1 + \frac{c x^{2}}{a}}} + \frac{175 a^{13} c x^{3}}{35 a^{\frac{37}{2}} \sqrt{1 + \frac{c x^{2}}{a}} + 210 a^{\frac{35}{2}} c x^{2} \sqrt{1 + \frac{c x^{2}}{a}} + 525 a^{\frac{33}{2}} c^{2} x^{4} \sqrt{1 + \frac{c x^{2}}{a}} + 700 a^{\frac{31}{2}} c^{3} x^{6} \sqrt{1 + \frac{c x^{2}}{a}} + 525 a^{\frac{29}{2}} c^{4} x^{8} \sqrt{1 + \frac{c x^{2}}{a}} + 210 a^{\frac{27}{2}} c^{5} x^{10} \sqrt{1 + \frac{c x^{2}}{a}} + 35 a^{\frac{25}{2}} c^{6} x^{12} \sqrt{1 + \frac{c x^{2}}{a}}} + \frac{371 a^{12} c^{2} x^{5}}{35 a^{\frac{37}{2}} \sqrt{1 + \frac{c x^{2}}{a}} + 210 a^{\frac{35}{2}} c x^{2} \sqrt{1 + \frac{c x^{2}}{a}} + 525 a^{\frac{33}{2}} c^{2} x^{4} \sqrt{1 + \frac{c x^{2}}{a}} + 700 a^{\frac{31}{2}} c^{3} x^{6} \sqrt{1 + \frac{c x^{2}}{a}} + 525 a^{\frac{29}{2}} c^{4} x^{8} \sqrt{1 + \frac{c x^{2}}{a}} + 210 a^{\frac{27}{2}} c^{5} x^{10} \sqrt{1 + \frac{c x^{2}}{a}} + 35 a^{\frac{25}{2}} c^{6} x^{12} \sqrt{1 + \frac{c x^{2}}{a}}} + \frac{429 a^{11} c^{3} x^{7}}{35 a^{\frac{37}{2}} \sqrt{1 + \frac{c x^{2}}{a}} + 210 a^{\frac{35}{2}} c x^{2} \sqrt{1 + \frac{c x^{2}}{a}} + 525 a^{\frac{33}{2}} c^{2} x^{4} \sqrt{1 + \frac{c x^{2}}{a}} + 700 a^{\frac{31}{2}} c^{3} x^{6} \sqrt{1 + \frac{c x^{2}}{a}} + 525 a^{\frac{29}{2}} c^{4} x^{8} \sqrt{1 + \frac{c x^{2}}{a}} + 210 a^{\frac{27}{2}} c^{5} x^{10} \sqrt{1 + \frac{c x^{2}}{a}} + 35 a^{\frac{25}{2}} c^{6} x^{12} \sqrt{1 + \frac{c x^{2}}{a}}} + \frac{286 a^{10} c^{4} x^{9}}{35 a^{\frac{37}{2}} \sqrt{1 + \frac{c x^{2}}{a}} + 210 a^{\frac{35}{2}} c x^{2} \sqrt{1 + \frac{c x^{2}}{a}} + 525 a^{\frac{33}{2}} c^{2} x^{4} \sqrt{1 + \frac{c x^{2}}{a}} + 700 a^{\frac{31}{2}} c^{3} x^{6} \sqrt{1 + \frac{c x^{2}}{a}} + 525 a^{\frac{29}{2}} c^{4} x^{8} \sqrt{1 + \frac{c x^{2}}{a}} + 210 a^{\frac{27}{2}} c^{5} x^{10} \sqrt{1 + \frac{c x^{2}}{a}} + 35 a^{\frac{25}{2}} c^{6} x^{12} \sqrt{1 + \frac{c x^{2}}{a}}} + \frac{104 a^{9} c^{5} x^{11}}{35 a^{\frac{37}{2}} \sqrt{1 + \frac{c x^{2}}{a}} + 210 a^{\frac{35}{2}} c x^{2} \sqrt{1 + \frac{c x^{2}}{a}} + 525 a^{\frac{33}{2}} c^{2} x^{4} \sqrt{1 + \frac{c x^{2}}{a}} + 700 a^{\frac{31}{2}} c^{3} x^{6} \sqrt{1 + \frac{c x^{2}}{a}} + 525 a^{\frac{29}{2}} c^{4} x^{8} \sqrt{1 + \frac{c x^{2}}{a}} + 210 a^{\frac{27}{2}} c^{5} x^{10} \sqrt{1 + \frac{c x^{2}}{a}} + 35 a^{\frac{25}{2}} c^{6} x^{12} \sqrt{1 + \frac{c x^{2}}{a}}} + \frac{16 a^{8} c^{6} x^{13}}{35 a^{\frac{37}{2}} \sqrt{1 + \frac{c x^{2}}{a}} + 210 a^{\frac{35}{2}} c x^{2} \sqrt{1 + \frac{c x^{2}}{a}} + 525 a^{\frac{33}{2}} c^{2} x^{4} \sqrt{1 + \frac{c x^{2}}{a}} + 700 a^{\frac{31}{2}} c^{3} x^{6} \sqrt{1 + \frac{c x^{2}}{a}} + 525 a^{\frac{29}{2}} c^{4} x^{8} \sqrt{1 + \frac{c x^{2}}{a}} + 210 a^{\frac{27}{2}} c^{5} x^{10} \sqrt{1 + \frac{c x^{2}}{a}} + 35 a^{\frac{25}{2}} c^{6} x^{12} \sqrt{1 + \frac{c x^{2}}{a}}}"," ",0,"35*a**14*x/(35*a**(37/2)*sqrt(1 + c*x**2/a) + 210*a**(35/2)*c*x**2*sqrt(1 + c*x**2/a) + 525*a**(33/2)*c**2*x**4*sqrt(1 + c*x**2/a) + 700*a**(31/2)*c**3*x**6*sqrt(1 + c*x**2/a) + 525*a**(29/2)*c**4*x**8*sqrt(1 + c*x**2/a) + 210*a**(27/2)*c**5*x**10*sqrt(1 + c*x**2/a) + 35*a**(25/2)*c**6*x**12*sqrt(1 + c*x**2/a)) + 175*a**13*c*x**3/(35*a**(37/2)*sqrt(1 + c*x**2/a) + 210*a**(35/2)*c*x**2*sqrt(1 + c*x**2/a) + 525*a**(33/2)*c**2*x**4*sqrt(1 + c*x**2/a) + 700*a**(31/2)*c**3*x**6*sqrt(1 + c*x**2/a) + 525*a**(29/2)*c**4*x**8*sqrt(1 + c*x**2/a) + 210*a**(27/2)*c**5*x**10*sqrt(1 + c*x**2/a) + 35*a**(25/2)*c**6*x**12*sqrt(1 + c*x**2/a)) + 371*a**12*c**2*x**5/(35*a**(37/2)*sqrt(1 + c*x**2/a) + 210*a**(35/2)*c*x**2*sqrt(1 + c*x**2/a) + 525*a**(33/2)*c**2*x**4*sqrt(1 + c*x**2/a) + 700*a**(31/2)*c**3*x**6*sqrt(1 + c*x**2/a) + 525*a**(29/2)*c**4*x**8*sqrt(1 + c*x**2/a) + 210*a**(27/2)*c**5*x**10*sqrt(1 + c*x**2/a) + 35*a**(25/2)*c**6*x**12*sqrt(1 + c*x**2/a)) + 429*a**11*c**3*x**7/(35*a**(37/2)*sqrt(1 + c*x**2/a) + 210*a**(35/2)*c*x**2*sqrt(1 + c*x**2/a) + 525*a**(33/2)*c**2*x**4*sqrt(1 + c*x**2/a) + 700*a**(31/2)*c**3*x**6*sqrt(1 + c*x**2/a) + 525*a**(29/2)*c**4*x**8*sqrt(1 + c*x**2/a) + 210*a**(27/2)*c**5*x**10*sqrt(1 + c*x**2/a) + 35*a**(25/2)*c**6*x**12*sqrt(1 + c*x**2/a)) + 286*a**10*c**4*x**9/(35*a**(37/2)*sqrt(1 + c*x**2/a) + 210*a**(35/2)*c*x**2*sqrt(1 + c*x**2/a) + 525*a**(33/2)*c**2*x**4*sqrt(1 + c*x**2/a) + 700*a**(31/2)*c**3*x**6*sqrt(1 + c*x**2/a) + 525*a**(29/2)*c**4*x**8*sqrt(1 + c*x**2/a) + 210*a**(27/2)*c**5*x**10*sqrt(1 + c*x**2/a) + 35*a**(25/2)*c**6*x**12*sqrt(1 + c*x**2/a)) + 104*a**9*c**5*x**11/(35*a**(37/2)*sqrt(1 + c*x**2/a) + 210*a**(35/2)*c*x**2*sqrt(1 + c*x**2/a) + 525*a**(33/2)*c**2*x**4*sqrt(1 + c*x**2/a) + 700*a**(31/2)*c**3*x**6*sqrt(1 + c*x**2/a) + 525*a**(29/2)*c**4*x**8*sqrt(1 + c*x**2/a) + 210*a**(27/2)*c**5*x**10*sqrt(1 + c*x**2/a) + 35*a**(25/2)*c**6*x**12*sqrt(1 + c*x**2/a)) + 16*a**8*c**6*x**13/(35*a**(37/2)*sqrt(1 + c*x**2/a) + 210*a**(35/2)*c*x**2*sqrt(1 + c*x**2/a) + 525*a**(33/2)*c**2*x**4*sqrt(1 + c*x**2/a) + 700*a**(31/2)*c**3*x**6*sqrt(1 + c*x**2/a) + 525*a**(29/2)*c**4*x**8*sqrt(1 + c*x**2/a) + 210*a**(27/2)*c**5*x**10*sqrt(1 + c*x**2/a) + 35*a**(25/2)*c**6*x**12*sqrt(1 + c*x**2/a))","B",0
64,0,0,0,0.000000," ","integrate((9*x**2+12*x+4)**(3/2),x)","\int \left(9 x^{2} + 12 x + 4\right)^{\frac{3}{2}}\, dx"," ",0,"Integral((9*x**2 + 12*x + 4)**(3/2), x)","F",0
65,0,0,0,0.000000," ","integrate((9*x**2+12*x+4)**(1/2),x)","\int \sqrt{9 x^{2} + 12 x + 4}\, dx"," ",0,"Integral(sqrt(9*x**2 + 12*x + 4), x)","F",0
66,0,0,0,0.000000," ","integrate(1/(9*x**2+12*x+4)**(1/2),x)","\int \frac{1}{\sqrt{9 x^{2} + 12 x + 4}}\, dx"," ",0,"Integral(1/sqrt(9*x**2 + 12*x + 4), x)","F",0
67,0,0,0,0.000000," ","integrate(1/(9*x**2+12*x+4)**(3/2),x)","\int \frac{1}{\left(9 x^{2} + 12 x + 4\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((9*x**2 + 12*x + 4)**(-3/2), x)","F",0
68,1,8,0,0.075343," ","integrate(((-2+3*x)**2)**(1/2),x)","\frac{3 x^{2}}{2} - 2 x"," ",0,"3*x**2/2 - 2*x","A",0
69,1,7,0,0.078328," ","integrate(1/((-2+3*x)**2)**(1/2),x)","\frac{\log{\left(3 x - 2 \right)}}{3}"," ",0,"log(3*x - 2)/3","A",0
70,0,0,0,0.000000," ","integrate((-(-2+3*x)**2)**(1/2),x)","\int \sqrt{- \left(3 x - 2\right)^{2}}\, dx"," ",0,"Integral(sqrt(-(3*x - 2)**2), x)","F",0
71,0,0,0,0.000000," ","integrate(1/(-(-2+3*x)**2)**(1/2),x)","\int \frac{1}{\sqrt{- \left(3 x - 2\right)^{2}}}\, dx"," ",0,"Integral(1/sqrt(-(3*x - 2)**2), x)","F",0
72,0,0,0,0.000000," ","integrate((-(2+3*x)**2)**(1/2),x)","\int \sqrt{- \left(3 x + 2\right)^{2}}\, dx"," ",0,"Integral(sqrt(-(3*x + 2)**2), x)","F",0
73,0,0,0,0.000000," ","integrate(1/(-(2+3*x)**2)**(1/2),x)","\int \frac{1}{\sqrt{- \left(3 x + 2\right)^{2}}}\, dx"," ",0,"Integral(1/sqrt(-(3*x + 2)**2), x)","F",0
74,1,253,0,0.194377," ","integrate((1/4*(b**2-1)/c+b*x+c*x**2)**5,x)","\frac{b c^{4} x^{10}}{2} + \frac{c^{5} x^{11}}{11} + x^{9} \left(\frac{5 b^{2} c^{3}}{4} - \frac{5 c^{3}}{36}\right) + x^{8} \left(\frac{15 b^{3} c^{2}}{8} - \frac{5 b c^{2}}{8}\right) + x^{7} \left(\frac{15 b^{4} c}{8} - \frac{5 b^{2} c}{4} + \frac{5 c}{56}\right) + x^{6} \left(\frac{21 b^{5}}{16} - \frac{35 b^{3}}{24} + \frac{5 b}{16}\right) + \frac{x^{5} \left(21 b^{6} - 35 b^{4} + 15 b^{2} - 1\right)}{32 c} + \frac{x^{4} \left(15 b^{7} - 35 b^{5} + 25 b^{3} - 5 b\right)}{64 c^{2}} + \frac{x^{3} \left(45 b^{8} - 140 b^{6} + 150 b^{4} - 60 b^{2} + 5\right)}{768 c^{3}} + \frac{x^{2} \left(5 b^{9} - 20 b^{7} + 30 b^{5} - 20 b^{3} + 5 b\right)}{512 c^{4}} + \frac{x \left(b^{10} - 5 b^{8} + 10 b^{6} - 10 b^{4} + 5 b^{2} - 1\right)}{1024 c^{5}}"," ",0,"b*c**4*x**10/2 + c**5*x**11/11 + x**9*(5*b**2*c**3/4 - 5*c**3/36) + x**8*(15*b**3*c**2/8 - 5*b*c**2/8) + x**7*(15*b**4*c/8 - 5*b**2*c/4 + 5*c/56) + x**6*(21*b**5/16 - 35*b**3/24 + 5*b/16) + x**5*(21*b**6 - 35*b**4 + 15*b**2 - 1)/(32*c) + x**4*(15*b**7 - 35*b**5 + 25*b**3 - 5*b)/(64*c**2) + x**3*(45*b**8 - 140*b**6 + 150*b**4 - 60*b**2 + 5)/(768*c**3) + x**2*(5*b**9 - 20*b**7 + 30*b**5 - 20*b**3 + 5*b)/(512*c**4) + x*(b**10 - 5*b**8 + 10*b**6 - 10*b**4 + 5*b**2 - 1)/(1024*c**5)","B",0
75,1,250,0,0.199318," ","integrate((1/4*(b**2-4)/c+b*x+c*x**2)**5,x)","\frac{b c^{4} x^{10}}{2} + \frac{c^{5} x^{11}}{11} + x^{9} \left(\frac{5 b^{2} c^{3}}{4} - \frac{5 c^{3}}{9}\right) + x^{8} \left(\frac{15 b^{3} c^{2}}{8} - \frac{5 b c^{2}}{2}\right) + x^{7} \left(\frac{15 b^{4} c}{8} - 5 b^{2} c + \frac{10 c}{7}\right) + x^{6} \left(\frac{21 b^{5}}{16} - \frac{35 b^{3}}{6} + 5 b\right) + \frac{x^{5} \left(21 b^{6} - 140 b^{4} + 240 b^{2} - 64\right)}{32 c} + \frac{x^{4} \left(15 b^{7} - 140 b^{5} + 400 b^{3} - 320 b\right)}{64 c^{2}} + \frac{x^{3} \left(45 b^{8} - 560 b^{6} + 2400 b^{4} - 3840 b^{2} + 1280\right)}{768 c^{3}} + \frac{x^{2} \left(5 b^{9} - 80 b^{7} + 480 b^{5} - 1280 b^{3} + 1280 b\right)}{512 c^{4}} + \frac{x \left(b^{10} - 20 b^{8} + 160 b^{6} - 640 b^{4} + 1280 b^{2} - 1024\right)}{1024 c^{5}}"," ",0,"b*c**4*x**10/2 + c**5*x**11/11 + x**9*(5*b**2*c**3/4 - 5*c**3/9) + x**8*(15*b**3*c**2/8 - 5*b*c**2/2) + x**7*(15*b**4*c/8 - 5*b**2*c + 10*c/7) + x**6*(21*b**5/16 - 35*b**3/6 + 5*b) + x**5*(21*b**6 - 140*b**4 + 240*b**2 - 64)/(32*c) + x**4*(15*b**7 - 140*b**5 + 400*b**3 - 320*b)/(64*c**2) + x**3*(45*b**8 - 560*b**6 + 2400*b**4 - 3840*b**2 + 1280)/(768*c**3) + x**2*(5*b**9 - 80*b**7 + 480*b**5 - 1280*b**3 + 1280*b)/(512*c**4) + x*(b**10 - 20*b**8 + 160*b**6 - 640*b**4 + 1280*b**2 - 1024)/(1024*c**5)","B",0
76,1,253,0,0.201796," ","integrate((1/4*(b**2-9)/c+b*x+c*x**2)**5,x)","\frac{b c^{4} x^{10}}{2} + \frac{c^{5} x^{11}}{11} + x^{9} \left(\frac{5 b^{2} c^{3}}{4} - \frac{5 c^{3}}{4}\right) + x^{8} \left(\frac{15 b^{3} c^{2}}{8} - \frac{45 b c^{2}}{8}\right) + x^{7} \left(\frac{15 b^{4} c}{8} - \frac{45 b^{2} c}{4} + \frac{405 c}{56}\right) + x^{6} \left(\frac{21 b^{5}}{16} - \frac{105 b^{3}}{8} + \frac{405 b}{16}\right) + \frac{x^{5} \left(21 b^{6} - 315 b^{4} + 1215 b^{2} - 729\right)}{32 c} + \frac{x^{4} \left(15 b^{7} - 315 b^{5} + 2025 b^{3} - 3645 b\right)}{64 c^{2}} + \frac{x^{3} \left(15 b^{8} - 420 b^{6} + 4050 b^{4} - 14580 b^{2} + 10935\right)}{256 c^{3}} + \frac{x^{2} \left(5 b^{9} - 180 b^{7} + 2430 b^{5} - 14580 b^{3} + 32805 b\right)}{512 c^{4}} + \frac{x \left(b^{10} - 45 b^{8} + 810 b^{6} - 7290 b^{4} + 32805 b^{2} - 59049\right)}{1024 c^{5}}"," ",0,"b*c**4*x**10/2 + c**5*x**11/11 + x**9*(5*b**2*c**3/4 - 5*c**3/4) + x**8*(15*b**3*c**2/8 - 45*b*c**2/8) + x**7*(15*b**4*c/8 - 45*b**2*c/4 + 405*c/56) + x**6*(21*b**5/16 - 105*b**3/8 + 405*b/16) + x**5*(21*b**6 - 315*b**4 + 1215*b**2 - 729)/(32*c) + x**4*(15*b**7 - 315*b**5 + 2025*b**3 - 3645*b)/(64*c**2) + x**3*(15*b**8 - 420*b**6 + 4050*b**4 - 14580*b**2 + 10935)/(256*c**3) + x**2*(5*b**9 - 180*b**7 + 2430*b**5 - 14580*b**3 + 32805*b)/(512*c**4) + x*(b**10 - 45*b**8 + 810*b**6 - 7290*b**4 + 32805*b**2 - 59049)/(1024*c**5)","B",0
77,1,248,0,0.196259," ","integrate((1/4*(b**2-16)/c+b*x+c*x**2)**5,x)","\frac{b c^{4} x^{10}}{2} + \frac{c^{5} x^{11}}{11} + x^{9} \left(\frac{5 b^{2} c^{3}}{4} - \frac{20 c^{3}}{9}\right) + x^{8} \left(\frac{15 b^{3} c^{2}}{8} - 10 b c^{2}\right) + x^{7} \left(\frac{15 b^{4} c}{8} - 20 b^{2} c + \frac{160 c}{7}\right) + x^{6} \left(\frac{21 b^{5}}{16} - \frac{70 b^{3}}{3} + 80 b\right) + \frac{x^{5} \left(21 b^{6} - 560 b^{4} + 3840 b^{2} - 4096\right)}{32 c} + \frac{x^{4} \left(15 b^{7} - 560 b^{5} + 6400 b^{3} - 20480 b\right)}{64 c^{2}} + \frac{x^{3} \left(45 b^{8} - 2240 b^{6} + 38400 b^{4} - 245760 b^{2} + 327680\right)}{768 c^{3}} + \frac{x^{2} \left(5 b^{9} - 320 b^{7} + 7680 b^{5} - 81920 b^{3} + 327680 b\right)}{512 c^{4}} + \frac{x \left(b^{10} - 80 b^{8} + 2560 b^{6} - 40960 b^{4} + 327680 b^{2} - 1048576\right)}{1024 c^{5}}"," ",0,"b*c**4*x**10/2 + c**5*x**11/11 + x**9*(5*b**2*c**3/4 - 20*c**3/9) + x**8*(15*b**3*c**2/8 - 10*b*c**2) + x**7*(15*b**4*c/8 - 20*b**2*c + 160*c/7) + x**6*(21*b**5/16 - 70*b**3/3 + 80*b) + x**5*(21*b**6 - 560*b**4 + 3840*b**2 - 4096)/(32*c) + x**4*(15*b**7 - 560*b**5 + 6400*b**3 - 20480*b)/(64*c**2) + x**3*(45*b**8 - 2240*b**6 + 38400*b**4 - 245760*b**2 + 327680)/(768*c**3) + x**2*(5*b**9 - 320*b**7 + 7680*b**5 - 81920*b**3 + 327680*b)/(512*c**4) + x*(b**10 - 80*b**8 + 2560*b**6 - 40960*b**4 + 327680*b**2 - 1048576)/(1024*c**5)","B",0
78,1,22,0,0.113842," ","integrate(1/(3*x**2+4*x+2),x)","\frac{\sqrt{2} \operatorname{atan}{\left(\frac{3 \sqrt{2} x}{2} + \sqrt{2} \right)}}{2}"," ",0,"sqrt(2)*atan(3*sqrt(2)*x/2 + sqrt(2))/2","A",0
79,1,7,0,0.163624," ","integrate(1/(4+x**2-2*x*3**(1/2)),x)","\operatorname{atan}{\left(x - \sqrt{3} \right)}"," ",0,"atan(x - sqrt(3))","A",0
80,1,39,0,0.119443," ","integrate(1/(-3*x**2+4*x+2),x)","\frac{\sqrt{10} \log{\left(x - \frac{2}{3} + \frac{\sqrt{10}}{3} \right)}}{20} - \frac{\sqrt{10} \log{\left(x - \frac{\sqrt{10}}{3} - \frac{2}{3} \right)}}{20}"," ",0,"sqrt(10)*log(x - 2/3 + sqrt(10)/3)/20 - sqrt(10)*log(x - sqrt(10)/3 - 2/3)/20","A",0
81,1,10,0,0.102624," ","integrate(1/(3*x**2+5*x+2),x)","\log{\left(x + \frac{2}{3} \right)} - \log{\left(x + 1 \right)}"," ",0,"log(x + 2/3) - log(x + 1)","A",0
82,1,14,0,0.112580," ","integrate(1/(-3*x**2+5*x+2),x)","- \frac{\log{\left(x - 2 \right)}}{7} + \frac{\log{\left(x + \frac{1}{3} \right)}}{7}"," ",0,"-log(x - 2)/7 + log(x + 1/3)/7","A",0
83,1,12,0,0.104367," ","integrate(1/(x**2+4*x+3),x)","\frac{\log{\left(x + 1 \right)}}{2} - \frac{\log{\left(x + 3 \right)}}{2}"," ",0,"log(x + 1)/2 - log(x + 3)/2","B",0
84,1,76,0,0.223487," ","integrate(1/(pi*x+2*x**2+1),x)","\frac{\log{\left(x - \frac{\pi^{2}}{4 \sqrt{-8 + \pi^{2}}} + \frac{\pi}{4} + \frac{2}{\sqrt{-8 + \pi^{2}}} \right)}}{\sqrt{-8 + \pi^{2}}} - \frac{\log{\left(x - \frac{2}{\sqrt{-8 + \pi^{2}}} + \frac{\pi}{4} + \frac{\pi^{2}}{4 \sqrt{-8 + \pi^{2}}} \right)}}{\sqrt{-8 + \pi^{2}}}"," ",0,"log(x - pi**2/(4*sqrt(-8 + pi**2)) + pi/4 + 2/sqrt(-8 + pi**2))/sqrt(-8 + pi**2) - log(x - 2/sqrt(-8 + pi**2) + pi/4 + pi**2/(4*sqrt(-8 + pi**2)))/sqrt(-8 + pi**2)","B",0
85,1,76,0,0.232814," ","integrate(1/(pi*x-2*x**2+1),x)","- \frac{\log{\left(x - \frac{\pi}{4} - \frac{\pi^{2}}{4 \sqrt{8 + \pi^{2}}} - \frac{2}{\sqrt{8 + \pi^{2}}} \right)}}{\sqrt{8 + \pi^{2}}} + \frac{\log{\left(x - \frac{\pi}{4} + \frac{2}{\sqrt{8 + \pi^{2}}} + \frac{\pi^{2}}{4 \sqrt{8 + \pi^{2}}} \right)}}{\sqrt{8 + \pi^{2}}}"," ",0,"-log(x - pi/4 - pi**2/(4*sqrt(8 + pi**2)) - 2/sqrt(8 + pi**2))/sqrt(8 + pi**2) + log(x - pi/4 + 2/sqrt(8 + pi**2) + pi**2/(4*sqrt(8 + pi**2)))/sqrt(8 + pi**2)","B",0
86,1,87,0,0.195604," ","integrate(1/(pi*x+3*x**2+1),x)","- \frac{i \log{\left(x + \frac{\pi}{6} - \frac{2 i}{\sqrt{12 - \pi^{2}}} + \frac{i \pi^{2}}{6 \sqrt{12 - \pi^{2}}} \right)}}{\sqrt{12 - \pi^{2}}} + \frac{i \log{\left(x + \frac{\pi}{6} - \frac{i \pi^{2}}{6 \sqrt{12 - \pi^{2}}} + \frac{2 i}{\sqrt{12 - \pi^{2}}} \right)}}{\sqrt{12 - \pi^{2}}}"," ",0,"-I*log(x + pi/6 - 2*I/sqrt(12 - pi**2) + I*pi**2/(6*sqrt(12 - pi**2)))/sqrt(12 - pi**2) + I*log(x + pi/6 - I*pi**2/(6*sqrt(12 - pi**2)) + 2*I/sqrt(12 - pi**2))/sqrt(12 - pi**2)","C",0
87,1,76,0,0.234131," ","integrate(1/(pi*x-3*x**2+1),x)","\frac{\log{\left(x - \frac{\pi}{6} + \frac{\pi^{2}}{6 \sqrt{\pi^{2} + 12}} + \frac{2}{\sqrt{\pi^{2} + 12}} \right)}}{\sqrt{\pi^{2} + 12}} - \frac{\log{\left(x - \frac{\pi}{6} - \frac{2}{\sqrt{\pi^{2} + 12}} - \frac{\pi^{2}}{6 \sqrt{\pi^{2} + 12}} \right)}}{\sqrt{\pi^{2} + 12}}"," ",0,"log(x - pi/6 + pi**2/(6*sqrt(pi**2 + 12)) + 2/sqrt(pi**2 + 12))/sqrt(pi**2 + 12) - log(x - pi/6 - 2/sqrt(pi**2 + 12) - pi**2/(6*sqrt(pi**2 + 12)))/sqrt(pi**2 + 12)","B",0
88,1,124,0,0.221242," ","integrate(1/(b*x**2+c*x+a),x)","- \sqrt{- \frac{1}{4 a b - c^{2}}} \log{\left(x + \frac{- 4 a b \sqrt{- \frac{1}{4 a b - c^{2}}} + c^{2} \sqrt{- \frac{1}{4 a b - c^{2}}} + c}{2 b} \right)} + \sqrt{- \frac{1}{4 a b - c^{2}}} \log{\left(x + \frac{4 a b \sqrt{- \frac{1}{4 a b - c^{2}}} - c^{2} \sqrt{- \frac{1}{4 a b - c^{2}}} + c}{2 b} \right)}"," ",0,"-sqrt(-1/(4*a*b - c**2))*log(x + (-4*a*b*sqrt(-1/(4*a*b - c**2)) + c**2*sqrt(-1/(4*a*b - c**2)) + c)/(2*b)) + sqrt(-1/(4*a*b - c**2))*log(x + (4*a*b*sqrt(-1/(4*a*b - c**2)) - c**2*sqrt(-1/(4*a*b - c**2)) + c)/(2*b))","B",0
89,1,100,0,0.231973," ","integrate(1/(b*x**2+2*a*x+b),x)","\frac{\sqrt{\frac{1}{\left(a - b\right) \left(a + b\right)}} \log{\left(x + \frac{- a^{2} \sqrt{\frac{1}{\left(a - b\right) \left(a + b\right)}} + a + b^{2} \sqrt{\frac{1}{\left(a - b\right) \left(a + b\right)}}}{b} \right)}}{2} - \frac{\sqrt{\frac{1}{\left(a - b\right) \left(a + b\right)}} \log{\left(x + \frac{a^{2} \sqrt{\frac{1}{\left(a - b\right) \left(a + b\right)}} + a - b^{2} \sqrt{\frac{1}{\left(a - b\right) \left(a + b\right)}}}{b} \right)}}{2}"," ",0,"sqrt(1/((a - b)*(a + b)))*log(x + (-a**2*sqrt(1/((a - b)*(a + b))) + a + b**2*sqrt(1/((a - b)*(a + b))))/b)/2 - sqrt(1/((a - b)*(a + b)))*log(x + (a**2*sqrt(1/((a - b)*(a + b))) + a - b**2*sqrt(1/((a - b)*(a + b))))/b)/2","B",0
90,1,102,0,0.254596," ","integrate(1/(-b*x**2+2*a*x+b),x)","- \frac{\sqrt{\frac{1}{a^{2} + b^{2}}} \log{\left(x + \frac{- a^{2} \sqrt{\frac{1}{a^{2} + b^{2}}} - a - b^{2} \sqrt{\frac{1}{a^{2} + b^{2}}}}{b} \right)}}{2} + \frac{\sqrt{\frac{1}{a^{2} + b^{2}}} \log{\left(x + \frac{a^{2} \sqrt{\frac{1}{a^{2} + b^{2}}} - a + b^{2} \sqrt{\frac{1}{a^{2} + b^{2}}}}{b} \right)}}{2}"," ",0,"-sqrt(1/(a**2 + b**2))*log(x + (-a**2*sqrt(1/(a**2 + b**2)) - a - b**2*sqrt(1/(a**2 + b**2)))/b)/2 + sqrt(1/(a**2 + b**2))*log(x + (a**2*sqrt(1/(a**2 + b**2)) - a + b**2*sqrt(1/(a**2 + b**2)))/b)/2","B",0
91,1,39,0,0.150001," ","integrate(1/(3*x**2+4*x+2)**2,x)","\frac{3 x + 2}{12 x^{2} + 16 x + 8} + \frac{3 \sqrt{2} \operatorname{atan}{\left(\frac{3 \sqrt{2} x}{2} + \sqrt{2} \right)}}{8}"," ",0,"(3*x + 2)/(12*x**2 + 16*x + 8) + 3*sqrt(2)*atan(3*sqrt(2)*x/2 + sqrt(2))/8","A",0
92,1,58,0,0.150712," ","integrate(1/(-3*x**2+4*x+2)**2,x)","\frac{2 - 3 x}{60 x^{2} - 80 x - 40} + \frac{3 \sqrt{10} \log{\left(x - \frac{2}{3} + \frac{\sqrt{10}}{3} \right)}}{400} - \frac{3 \sqrt{10} \log{\left(x - \frac{\sqrt{10}}{3} - \frac{2}{3} \right)}}{400}"," ",0,"(2 - 3*x)/(60*x**2 - 80*x - 40) + 3*sqrt(10)*log(x - 2/3 + sqrt(10)/3)/400 - 3*sqrt(10)*log(x - sqrt(10)/3 - 2/3)/400","A",0
93,1,31,0,0.139950," ","integrate(1/(3*x**2+5*x+2)**2,x)","\frac{- 6 x - 5}{3 x^{2} + 5 x + 2} - 6 \log{\left(x + \frac{2}{3} \right)} + 6 \log{\left(x + 1 \right)}"," ",0,"(-6*x - 5)/(3*x**2 + 5*x + 2) - 6*log(x + 2/3) + 6*log(x + 1)","A",0
94,1,32,0,0.151006," ","integrate(1/(-3*x**2+5*x+2)**2,x)","\frac{5 - 6 x}{147 x^{2} - 245 x - 98} - \frac{6 \log{\left(x - 2 \right)}}{343} + \frac{6 \log{\left(x + \frac{1}{3} \right)}}{343}"," ",0,"(5 - 6*x)/(147*x**2 - 245*x - 98) - 6*log(x - 2)/343 + 6*log(x + 1/3)/343","A",0
95,1,265,0,0.589477," ","integrate(1/(b*x**2+c*x+a)**2,x)","- 2 b \sqrt{- \frac{1}{\left(4 a b - c^{2}\right)^{3}}} \log{\left(x + \frac{- 32 a^{2} b^{3} \sqrt{- \frac{1}{\left(4 a b - c^{2}\right)^{3}}} + 16 a b^{2} c^{2} \sqrt{- \frac{1}{\left(4 a b - c^{2}\right)^{3}}} - 2 b c^{4} \sqrt{- \frac{1}{\left(4 a b - c^{2}\right)^{3}}} + 2 b c}{4 b^{2}} \right)} + 2 b \sqrt{- \frac{1}{\left(4 a b - c^{2}\right)^{3}}} \log{\left(x + \frac{32 a^{2} b^{3} \sqrt{- \frac{1}{\left(4 a b - c^{2}\right)^{3}}} - 16 a b^{2} c^{2} \sqrt{- \frac{1}{\left(4 a b - c^{2}\right)^{3}}} + 2 b c^{4} \sqrt{- \frac{1}{\left(4 a b - c^{2}\right)^{3}}} + 2 b c}{4 b^{2}} \right)} + \frac{2 b x + c}{4 a^{2} b - a c^{2} + x^{2} \left(4 a b^{2} - b c^{2}\right) + x \left(4 a b c - c^{3}\right)}"," ",0,"-2*b*sqrt(-1/(4*a*b - c**2)**3)*log(x + (-32*a**2*b**3*sqrt(-1/(4*a*b - c**2)**3) + 16*a*b**2*c**2*sqrt(-1/(4*a*b - c**2)**3) - 2*b*c**4*sqrt(-1/(4*a*b - c**2)**3) + 2*b*c)/(4*b**2)) + 2*b*sqrt(-1/(4*a*b - c**2)**3)*log(x + (32*a**2*b**3*sqrt(-1/(4*a*b - c**2)**3) - 16*a*b**2*c**2*sqrt(-1/(4*a*b - c**2)**3) + 2*b*c**4*sqrt(-1/(4*a*b - c**2)**3) + 2*b*c)/(4*b**2)) + (2*b*x + c)/(4*a**2*b - a*c**2 + x**2*(4*a*b**2 - b*c**2) + x*(4*a*b*c - c**3))","B",0
96,1,230,0,0.548214," ","integrate(1/(b*x**2+2*a*x+b)**2,x)","- \frac{b \sqrt{\frac{1}{\left(a - b\right)^{3} \left(a + b\right)^{3}}} \log{\left(x + \frac{- a^{4} b \sqrt{\frac{1}{\left(a - b\right)^{3} \left(a + b\right)^{3}}} + 2 a^{2} b^{3} \sqrt{\frac{1}{\left(a - b\right)^{3} \left(a + b\right)^{3}}} + a b - b^{5} \sqrt{\frac{1}{\left(a - b\right)^{3} \left(a + b\right)^{3}}}}{b^{2}} \right)}}{4} + \frac{b \sqrt{\frac{1}{\left(a - b\right)^{3} \left(a + b\right)^{3}}} \log{\left(x + \frac{a^{4} b \sqrt{\frac{1}{\left(a - b\right)^{3} \left(a + b\right)^{3}}} - 2 a^{2} b^{3} \sqrt{\frac{1}{\left(a - b\right)^{3} \left(a + b\right)^{3}}} + a b + b^{5} \sqrt{\frac{1}{\left(a - b\right)^{3} \left(a + b\right)^{3}}}}{b^{2}} \right)}}{4} + \frac{- a - b x}{2 a^{2} b - 2 b^{3} + x^{2} \left(2 a^{2} b - 2 b^{3}\right) + x \left(4 a^{3} - 4 a b^{2}\right)}"," ",0,"-b*sqrt(1/((a - b)**3*(a + b)**3))*log(x + (-a**4*b*sqrt(1/((a - b)**3*(a + b)**3)) + 2*a**2*b**3*sqrt(1/((a - b)**3*(a + b)**3)) + a*b - b**5*sqrt(1/((a - b)**3*(a + b)**3)))/b**2)/4 + b*sqrt(1/((a - b)**3*(a + b)**3))*log(x + (a**4*b*sqrt(1/((a - b)**3*(a + b)**3)) - 2*a**2*b**3*sqrt(1/((a - b)**3*(a + b)**3)) + a*b + b**5*sqrt(1/((a - b)**3*(a + b)**3)))/b**2)/4 + (-a - b*x)/(2*a**2*b - 2*b**3 + x**2*(2*a**2*b - 2*b**3) + x*(4*a**3 - 4*a*b**2))","B",0
97,1,218,0,0.603206," ","integrate(1/(-b*x**2+2*a*x+b)**2,x)","- \frac{b \sqrt{\frac{1}{\left(a^{2} + b^{2}\right)^{3}}} \log{\left(x + \frac{- a^{4} b \sqrt{\frac{1}{\left(a^{2} + b^{2}\right)^{3}}} - 2 a^{2} b^{3} \sqrt{\frac{1}{\left(a^{2} + b^{2}\right)^{3}}} - a b - b^{5} \sqrt{\frac{1}{\left(a^{2} + b^{2}\right)^{3}}}}{b^{2}} \right)}}{4} + \frac{b \sqrt{\frac{1}{\left(a^{2} + b^{2}\right)^{3}}} \log{\left(x + \frac{a^{4} b \sqrt{\frac{1}{\left(a^{2} + b^{2}\right)^{3}}} + 2 a^{2} b^{3} \sqrt{\frac{1}{\left(a^{2} + b^{2}\right)^{3}}} - a b + b^{5} \sqrt{\frac{1}{\left(a^{2} + b^{2}\right)^{3}}}}{b^{2}} \right)}}{4} + \frac{a - b x}{- 2 a^{2} b - 2 b^{3} + x^{2} \left(2 a^{2} b + 2 b^{3}\right) + x \left(- 4 a^{3} - 4 a b^{2}\right)}"," ",0,"-b*sqrt((a**2 + b**2)**(-3))*log(x + (-a**4*b*sqrt((a**2 + b**2)**(-3)) - 2*a**2*b**3*sqrt((a**2 + b**2)**(-3)) - a*b - b**5*sqrt((a**2 + b**2)**(-3)))/b**2)/4 + b*sqrt((a**2 + b**2)**(-3))*log(x + (a**4*b*sqrt((a**2 + b**2)**(-3)) + 2*a**2*b**3*sqrt((a**2 + b**2)**(-3)) - a*b + b**5*sqrt((a**2 + b**2)**(-3)))/b**2)/4 + (a - b*x)/(-2*a**2*b - 2*b**3 + x**2*(2*a**2*b + 2*b**3) + x*(-4*a**3 - 4*a*b**2))","B",0
98,1,212,0,0.982481," ","integrate(1/((a/b)**(2/n)+x**2-2*(a/b)**(1/n)*x*cos((-2*pi*k+pi)/n)),x)","- \frac{\sqrt{\frac{\left(\frac{a}{b}\right)^{- \frac{2}{n}}}{\cos^{2}{\left(\frac{\pi \left(2 k - 1\right)}{n} \right)} - 1}} \log{\left(x - \left(\frac{a}{b}\right)^{\frac{1}{n}} \cos{\left(\frac{2 \pi k}{n} - \frac{\pi}{n} \right)} - \frac{\sqrt{\frac{\left(\frac{a}{b}\right)^{- \frac{2}{n}}}{\cos^{2}{\left(\frac{\pi \left(2 k - 1\right)}{n} \right)} - 1}} \left(- 2 \left(\frac{a}{b}\right)^{\frac{2}{n}} \cos^{2}{\left(\frac{2 \pi k}{n} - \frac{\pi}{n} \right)} + 2 \left(\frac{a}{b}\right)^{\frac{2}{n}}\right)}{2} \right)}}{2} + \frac{\sqrt{\frac{\left(\frac{a}{b}\right)^{- \frac{2}{n}}}{\cos^{2}{\left(\frac{\pi \left(2 k - 1\right)}{n} \right)} - 1}} \log{\left(x - \left(\frac{a}{b}\right)^{\frac{1}{n}} \cos{\left(\frac{2 \pi k}{n} - \frac{\pi}{n} \right)} + \frac{\sqrt{\frac{\left(\frac{a}{b}\right)^{- \frac{2}{n}}}{\cos^{2}{\left(\frac{\pi \left(2 k - 1\right)}{n} \right)} - 1}} \left(- 2 \left(\frac{a}{b}\right)^{\frac{2}{n}} \cos^{2}{\left(\frac{2 \pi k}{n} - \frac{\pi}{n} \right)} + 2 \left(\frac{a}{b}\right)^{\frac{2}{n}}\right)}{2} \right)}}{2}"," ",0,"-sqrt((a/b)**(-2/n)/(cos(pi*(2*k - 1)/n)**2 - 1))*log(x - (a/b)**(1/n)*cos(2*pi*k/n - pi/n) - sqrt((a/b)**(-2/n)/(cos(pi*(2*k - 1)/n)**2 - 1))*(-2*(a/b)**(2/n)*cos(2*pi*k/n - pi/n)**2 + 2*(a/b)**(2/n))/2)/2 + sqrt((a/b)**(-2/n)/(cos(pi*(2*k - 1)/n)**2 - 1))*log(x - (a/b)**(1/n)*cos(2*pi*k/n - pi/n) + sqrt((a/b)**(-2/n)/(cos(pi*(2*k - 1)/n)**2 - 1))*(-2*(a/b)**(2/n)*cos(2*pi*k/n - pi/n)**2 + 2*(a/b)**(2/n))/2)/2","B",0
99,1,56,0,0.291925," ","integrate(1/(a*b-b**2*x**2+x*(-4*a*b**3+b**2)**(1/2)),x)","- \frac{\log{\left(x - \frac{1}{2 b} - \frac{\sqrt{- 4 a b^{3} + b^{2}}}{2 b^{2}} \right)} - \log{\left(x + \frac{1}{2 b} - \frac{\sqrt{- 4 a b^{3} + b^{2}}}{2 b^{2}} \right)}}{b}"," ",0,"-(log(x - 1/(2*b) - sqrt(-4*a*b**3 + b**2)/(2*b**2)) - log(x + 1/(2*b) - sqrt(-4*a*b**3 + b**2)/(2*b**2)))/b","B",0
100,1,56,0,0.281864," ","integrate(1/(a*b-b**2*x**2-x*(-4*a*b**3+b**2)**(1/2)),x)","- \frac{\log{\left(x - \frac{1}{2 b} + \frac{\sqrt{- 4 a b^{3} + b^{2}}}{2 b^{2}} \right)} - \log{\left(x + \frac{1}{2 b} + \frac{\sqrt{- 4 a b^{3} + b^{2}}}{2 b^{2}} \right)}}{b}"," ",0,"-(log(x - 1/(2*b) + sqrt(-4*a*b**3 + b**2)/(2*b**2)) - log(x + 1/(2*b) + sqrt(-4*a*b**3 + b**2)/(2*b**2)))/b","B",0
101,1,165,0,0.191512," ","integrate(1/(1+x**2+2*x*cos(1/7)),x)","- \frac{i \log{\left(x + \cos{\left(\frac{1}{7} \right)} - \frac{i}{\sqrt{1 - \cos{\left(\frac{1}{7} \right)}} \sqrt{\cos{\left(\frac{1}{7} \right)} + 1}} + \frac{i \cos^{2}{\left(\frac{1}{7} \right)}}{\sqrt{1 - \cos{\left(\frac{1}{7} \right)}} \sqrt{\cos{\left(\frac{1}{7} \right)} + 1}} \right)}}{2 \sqrt{1 - \cos{\left(\frac{1}{7} \right)}} \sqrt{\cos{\left(\frac{1}{7} \right)} + 1}} + \frac{i \log{\left(x + \cos{\left(\frac{1}{7} \right)} - \frac{i \cos^{2}{\left(\frac{1}{7} \right)}}{\sqrt{1 - \cos{\left(\frac{1}{7} \right)}} \sqrt{\cos{\left(\frac{1}{7} \right)} + 1}} + \frac{i}{\sqrt{1 - \cos{\left(\frac{1}{7} \right)}} \sqrt{\cos{\left(\frac{1}{7} \right)} + 1}} \right)}}{2 \sqrt{1 - \cos{\left(\frac{1}{7} \right)}} \sqrt{\cos{\left(\frac{1}{7} \right)} + 1}}"," ",0,"-I*log(x + cos(1/7) - I/(sqrt(1 - cos(1/7))*sqrt(cos(1/7) + 1)) + I*cos(1/7)**2/(sqrt(1 - cos(1/7))*sqrt(cos(1/7) + 1)))/(2*sqrt(1 - cos(1/7))*sqrt(cos(1/7) + 1)) + I*log(x + cos(1/7) - I*cos(1/7)**2/(sqrt(1 - cos(1/7))*sqrt(cos(1/7) + 1)) + I/(sqrt(1 - cos(1/7))*sqrt(cos(1/7) + 1)))/(2*sqrt(1 - cos(1/7))*sqrt(cos(1/7) + 1))","C",0
102,1,70,0,0.588319," ","integrate(1/(1+x**2+2*x*cos(1/7*pi)),x)","- \frac{i \log{\left(x + \cos{\left(\frac{\pi}{7} \right)} - \frac{i \left(2 - 2 \cos^{2}{\left(\frac{\pi}{7} \right)}\right)}{2 \sin{\left(\frac{\pi}{7} \right)}} \right)}}{2 \sin{\left(\frac{\pi}{7} \right)}} + \frac{i \log{\left(x + \cos{\left(\frac{\pi}{7} \right)} + \frac{i \left(2 - 2 \cos^{2}{\left(\frac{\pi}{7} \right)}\right)}{2 \sin{\left(\frac{\pi}{7} \right)}} \right)}}{2 \sin{\left(\frac{\pi}{7} \right)}}"," ",0,"-I*log(x + cos(pi/7) - I*(2 - 2*cos(pi/7)**2)/(2*sin(pi/7)))/(2*sin(pi/7)) + I*log(x + cos(pi/7) + I*(2 - 2*cos(pi/7)**2)/(2*sin(pi/7)))/(2*sin(pi/7))","C",0
103,0,0,0,0.000000," ","integrate((9*x**2-6*x+5)**(1/2),x)","\int \sqrt{9 x^{2} - 6 x + 5}\, dx"," ",0,"Integral(sqrt(9*x**2 - 6*x + 5), x)","F",0
104,0,0,0,0.000000," ","integrate((-4*x**2-4*x+3)**(1/2),x)","\int \sqrt{- 4 x^{2} - 4 x + 3}\, dx"," ",0,"Integral(sqrt(-4*x**2 - 4*x + 3), x)","F",0
105,0,0,0,0.000000," ","integrate((9*x**2+6*x-8)**(1/2),x)","\int \sqrt{9 x^{2} + 6 x - 8}\, dx"," ",0,"Integral(sqrt(9*x**2 + 6*x - 8), x)","F",0
106,0,0,0,0.000000," ","integrate((3*x**2+4*x+2)**(1/2),x)","\int \sqrt{3 x^{2} + 4 x + 2}\, dx"," ",0,"Integral(sqrt(3*x**2 + 4*x + 2), x)","F",0
107,0,0,0,0.000000," ","integrate((-3*x**2+4*x+2)**(1/2),x)","\int \sqrt{- 3 x^{2} + 4 x + 2}\, dx"," ",0,"Integral(sqrt(-3*x**2 + 4*x + 2), x)","F",0
108,0,0,0,0.000000," ","integrate((3*x**2+5*x+2)**(1/2),x)","\int \sqrt{3 x^{2} + 5 x + 2}\, dx"," ",0,"Integral(sqrt(3*x**2 + 5*x + 2), x)","F",0
109,0,0,0,0.000000," ","integrate((-3*x**2+5*x+2)**(1/2),x)","\int \sqrt{- 3 x^{2} + 5 x + 2}\, dx"," ",0,"Integral(sqrt(-3*x**2 + 5*x + 2), x)","F",0
110,0,0,0,0.000000," ","integrate((3*x**2+4*x-2)**(1/2),x)","\int \sqrt{3 x^{2} + 4 x - 2}\, dx"," ",0,"Integral(sqrt(3*x**2 + 4*x - 2), x)","F",0
111,0,0,0,0.000000," ","integrate((-3*x**2+4*x-2)**(1/2),x)","\int \sqrt{- 3 x^{2} + 4 x - 2}\, dx"," ",0,"Integral(sqrt(-3*x**2 + 4*x - 2), x)","F",0
112,0,0,0,0.000000," ","integrate((3*x**2+5*x-2)**(1/2),x)","\int \sqrt{3 x^{2} + 5 x - 2}\, dx"," ",0,"Integral(sqrt(3*x**2 + 5*x - 2), x)","F",0
113,0,0,0,0.000000," ","integrate((-3*x**2+5*x-2)**(1/2),x)","\int \sqrt{- 3 x^{2} + 5 x - 2}\, dx"," ",0,"Integral(sqrt(-3*x**2 + 5*x - 2), x)","F",0
114,0,0,0,0.000000," ","integrate(1/(9*x**2-6*x+5)**(1/2),x)","\int \frac{1}{\sqrt{9 x^{2} - 6 x + 5}}\, dx"," ",0,"Integral(1/sqrt(9*x**2 - 6*x + 5), x)","F",0
115,0,0,0,0.000000," ","integrate(1/(-4*x**2-4*x+3)**(1/2),x)","\int \frac{1}{\sqrt{- 4 x^{2} - 4 x + 3}}\, dx"," ",0,"Integral(1/sqrt(-4*x**2 - 4*x + 3), x)","F",0
116,0,0,0,0.000000," ","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
117,0,0,0,0.000000," ","integrate(1/(3*x**2+4*x+2)**(1/2),x)","\int \frac{1}{\sqrt{3 x^{2} + 4 x + 2}}\, dx"," ",0,"Integral(1/sqrt(3*x**2 + 4*x + 2), x)","F",0
118,0,0,0,0.000000," ","integrate(1/(-3*x**2+4*x+2)**(1/2),x)","\int \frac{1}{\sqrt{- 3 x^{2} + 4 x + 2}}\, dx"," ",0,"Integral(1/sqrt(-3*x**2 + 4*x + 2), x)","F",0
119,0,0,0,0.000000," ","integrate(1/(3*x**2+5*x+2)**(1/2),x)","\int \frac{1}{\sqrt{3 x^{2} + 5 x + 2}}\, dx"," ",0,"Integral(1/sqrt(3*x**2 + 5*x + 2), x)","F",0
120,0,0,0,0.000000," ","integrate(1/(-3*x**2+5*x+2)**(1/2),x)","\int \frac{1}{\sqrt{- 3 x^{2} + 5 x + 2}}\, dx"," ",0,"Integral(1/sqrt(-3*x**2 + 5*x + 2), x)","F",0
121,0,0,0,0.000000," ","integrate(1/(3*x**2+4*x-2)**(1/2),x)","\int \frac{1}{\sqrt{3 x^{2} + 4 x - 2}}\, dx"," ",0,"Integral(1/sqrt(3*x**2 + 4*x - 2), x)","F",0
122,0,0,0,0.000000," ","integrate(1/(-3*x**2+4*x-2)**(1/2),x)","\int \frac{1}{\sqrt{- 3 x^{2} + 4 x - 2}}\, dx"," ",0,"Integral(1/sqrt(-3*x**2 + 4*x - 2), x)","F",0
123,0,0,0,0.000000," ","integrate(1/(3*x**2+5*x-2)**(1/2),x)","\int \frac{1}{\sqrt{3 x^{2} + 5 x - 2}}\, dx"," ",0,"Integral(1/sqrt(3*x**2 + 5*x - 2), x)","F",0
124,0,0,0,0.000000," ","integrate(1/(-3*x**2+5*x-2)**(1/2),x)","\int \frac{1}{\sqrt{- 3 x^{2} + 5 x - 2}}\, dx"," ",0,"Integral(1/sqrt(-3*x**2 + 5*x - 2), x)","F",0
125,0,0,0,0.000000," ","integrate(2/((b**2+4*c)/c+4*b*x+4*c*x**2)**(1/2),x)","2 \int \frac{1}{\sqrt{\frac{b^{2}}{c} + 4 b x + 4 c x^{2} + 4}}\, dx"," ",0,"2*Integral(1/sqrt(b**2/c + 4*b*x + 4*c*x**2 + 4), x)","F",0
126,0,0,0,0.000000," ","integrate(2/((-b**2+4*c)/c+4*b*x-4*c*x**2)**(1/2),x)","2 \int \frac{1}{\sqrt{- \frac{b^{2}}{c} + 4 b x - 4 c x^{2} + 4}}\, dx"," ",0,"2*Integral(1/sqrt(-b**2/c + 4*b*x - 4*c*x**2 + 4), x)","F",0
127,0,0,0,0.000000," ","integrate(2/((-b**2+c)/c+4*b*x-4*c*x**2)**(1/2),x)","2 \int \frac{1}{\sqrt{- \frac{b^{2}}{c} + 4 b x - 4 c x^{2} + 1}}\, dx"," ",0,"2*Integral(1/sqrt(-b**2/c + 4*b*x - 4*c*x**2 + 1), x)","F",0
128,0,0,0,0.000000," ","integrate(1/(x**2+3*x+2)**(3/2),x)","\int \frac{1}{\left(x^{2} + 3 x + 2\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((x**2 + 3*x + 2)**(-3/2), x)","F",0
129,0,0,0,0.000000," ","integrate(1/(4*x**2-24*x+27)**(3/2),x)","\int \frac{1}{\left(4 x^{2} - 24 x + 27\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral((4*x**2 - 24*x + 27)**(-3/2), x)","F",0
130,0,0,0,0.000000," ","integrate(x/(-x**2-4*x+5)**(3/2),x)","\int \frac{x}{\left(- \left(x - 1\right) \left(x + 5\right)\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(x/(-(x - 1)*(x + 5))**(3/2), x)","F",0
131,0,0,0,0.000000," ","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
132,0,0,0,0.000000," ","integrate((c*x**2+b*x+a)**p,x)","\int \left(a + b x + c x^{2}\right)^{p}\, dx"," ",0,"Integral((a + b*x + c*x**2)**p, x)","F",0
133,0,0,0,0.000000," ","integrate((5*x**2+4*x+3)**p,x)","\int \left(5 x^{2} + 4 x + 3\right)^{p}\, dx"," ",0,"Integral((5*x**2 + 4*x + 3)**p, x)","F",0
134,0,0,0,0.000000," ","integrate((4*x**2+4*x+3)**p,x)","\int \left(4 x^{2} + 4 x + 3\right)^{p}\, dx"," ",0,"Integral((4*x**2 + 4*x + 3)**p, x)","F",0
135,0,0,0,0.000000," ","integrate((3*x**2+4*x+3)**p,x)","\int \left(3 x^{2} + 4 x + 3\right)^{p}\, dx"," ",0,"Integral((3*x**2 + 4*x + 3)**p, x)","F",0
136,0,0,0,0.000000," ","integrate((2*x**2+4*x+3)**p,x)","\int \left(2 x^{2} + 4 x + 3\right)^{p}\, dx"," ",0,"Integral((2*x**2 + 4*x + 3)**p, x)","F",0
137,0,0,0,0.000000," ","integrate((x**2+4*x+3)**p,x)","\int \left(x^{2} + 4 x + 3\right)^{p}\, dx"," ",0,"Integral((x**2 + 4*x + 3)**p, x)","F",0
138,1,20,0,0.063376," ","integrate((3+4*x)**p,x)","\frac{\begin{cases} \frac{\left(4 x + 3\right)^{p + 1}}{p + 1} & \text{for}\: p \neq -1 \\\log{\left(4 x + 3 \right)} & \text{otherwise} \end{cases}}{4}"," ",0,"Piecewise(((4*x + 3)**(p + 1)/(p + 1), Ne(p, -1)), (log(4*x + 3), True))/4","A",0
139,0,0,0,0.000000," ","integrate((-x**2+4*x+3)**p,x)","\int \left(- x^{2} + 4 x + 3\right)^{p}\, dx"," ",0,"Integral((-x**2 + 4*x + 3)**p, x)","F",0
140,0,0,0,0.000000," ","integrate((-2*x**2+4*x+3)**p,x)","\int \left(- 2 x^{2} + 4 x + 3\right)^{p}\, dx"," ",0,"Integral((-2*x**2 + 4*x + 3)**p, x)","F",0
141,0,0,0,0.000000," ","integrate((-3*x**2+4*x+3)**p,x)","\int \left(- 3 x^{2} + 4 x + 3\right)^{p}\, dx"," ",0,"Integral((-3*x**2 + 4*x + 3)**p, x)","F",0
142,0,0,0,0.000000," ","integrate((-4*x**2+4*x+3)**p,x)","\int \left(- 4 x^{2} + 4 x + 3\right)^{p}\, dx"," ",0,"Integral((-4*x**2 + 4*x + 3)**p, x)","F",0
143,0,0,0,0.000000," ","integrate((-5*x**2+4*x+3)**p,x)","\int \left(- 5 x^{2} + 4 x + 3\right)^{p}\, dx"," ",0,"Integral((-5*x**2 + 4*x + 3)**p, x)","F",0
