1,1,8,0,0.086758," ","integrate(exp(x)/(4+6*exp(x)),x)","\frac{\log{\left(e^{x} + \frac{2}{3} \right)}}{6}"," ",0,"log(exp(x) + 2/3)/6","A",0
2,1,8,0,0.110595," ","integrate(exp(x)/(a+b*exp(x)),x)","\frac{\log{\left(\frac{a}{b} + e^{x} \right)}}{b}"," ",0,"log(a/b + exp(x))/b","A",0
3,1,19,0,0.160834," ","integrate(exp(d*x)/(a+b*exp(d*x+c)),x)","\frac{e^{- c} \log{\left(\frac{a e^{- c}}{b} + e^{d x} \right)}}{b d}"," ",0,"exp(-c)*log(a*exp(-c)/b + exp(d*x))/(b*d)","A",0
4,1,14,0,0.127650," ","integrate(exp(d*x+c)/(a+b*exp(d*x+c)),x)","\frac{\log{\left(\frac{a}{b} + e^{c + d x} \right)}}{b d}"," ",0,"log(a/b + exp(c + d*x))/(b*d)","A",0
5,1,56,0,0.917386," ","integrate(exp(x)*(a+b*exp(x))**n,x)","\begin{cases} \frac{e^{x}}{a} & \text{for}\: b = 0 \wedge n = -1 \\a^{n} e^{x} & \text{for}\: b = 0 \\\frac{\log{\left(\frac{a}{b} + e^{x} \right)}}{b} & \text{for}\: n = -1 \\\frac{a \left(a + b e^{x}\right)^{n}}{b n + b} + \frac{b \left(a + b e^{x}\right)^{n} e^{x}}{b n + b} & \text{otherwise} \end{cases}"," ",0,"Piecewise((exp(x)/a, Eq(b, 0) & Eq(n, -1)), (a**n*exp(x), Eq(b, 0)), (log(a/b + exp(x))/b, Eq(n, -1)), (a*(a + b*exp(x))**n/(b*n + b) + b*(a + b*exp(x))**n*exp(x)/(b*n + b), True))","A",0
6,1,114,0,14.330213," ","integrate(exp(d*x)*(a+b*exp(d*x+c))**n,x)","\begin{cases} \frac{x}{a} & \text{for}\: b = 0 \wedge d = 0 \wedge n = -1 \\\frac{a^{n} e^{d x}}{d} & \text{for}\: b = 0 \\x \left(a + b e^{c}\right)^{n} & \text{for}\: d = 0 \\\frac{e^{- c} \log{\left(\frac{a}{b} + e^{c} e^{d x} \right)}}{b d} & \text{for}\: n = -1 \\\frac{a \left(a + b e^{c} e^{d x}\right)^{n}}{b d n e^{c} + b d e^{c}} + \frac{b \left(a + b e^{c} e^{d x}\right)^{n} e^{c} e^{d x}}{b d n e^{c} + b d e^{c}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x/a, Eq(b, 0) & Eq(d, 0) & Eq(n, -1)), (a**n*exp(d*x)/d, Eq(b, 0)), (x*(a + b*exp(c))**n, Eq(d, 0)), (exp(-c)*log(a/b + exp(c)*exp(d*x))/(b*d), Eq(n, -1)), (a*(a + b*exp(c)*exp(d*x))**n/(b*d*n*exp(c) + b*d*exp(c)) + b*(a + b*exp(c)*exp(d*x))**n*exp(c)*exp(d*x)/(b*d*n*exp(c) + b*d*exp(c)), True))","A",0
7,1,107,0,18.737238," ","integrate(exp(d*x+c)*(a+b*exp(d*x+c))**n,x)","\begin{cases} \frac{x e^{c}}{a} & \text{for}\: b = 0 \wedge d = 0 \wedge n = -1 \\\frac{a^{n} e^{c} e^{d x}}{d} & \text{for}\: b = 0 \\x \left(a + b e^{c}\right)^{n} e^{c} & \text{for}\: d = 0 \\\frac{\log{\left(\frac{a e^{- c}}{b} + e^{d x} \right)}}{b d} & \text{for}\: n = -1 \\\frac{a \left(a + b e^{c} e^{d x}\right)^{n}}{b d n + b d} + \frac{b \left(a + b e^{c} e^{d x}\right)^{n} e^{c} e^{d x}}{b d n + b d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x*exp(c)/a, Eq(b, 0) & Eq(d, 0) & Eq(n, -1)), (a**n*exp(c)*exp(d*x)/d, Eq(b, 0)), (x*(a + b*exp(c))**n*exp(c), Eq(d, 0)), (log(a*exp(-c)/b + exp(d*x))/(b*d), Eq(n, -1)), (a*(a + b*exp(c)*exp(d*x))**n/(b*d*n + b*d) + b*(a + b*exp(c)*exp(d*x))**n*exp(c)*exp(d*x)/(b*d*n + b*d), True))","A",0
8,1,12,0,0.123681," ","integrate(F**x/(a+b*F**x),x)","\frac{\log{\left(F^{x} + \frac{a}{b} \right)}}{b \log{\left(F \right)}}"," ",0,"log(F**x + a/b)/(b*log(F))","A",0
9,1,24,0,0.385506," ","integrate(F**(d*x)/(a+b*F**(d*x+c)),x)","\frac{e^{- c \log{\left(F \right)}} \log{\left(F^{c + d x} + \frac{a}{b} \right)}}{b d \log{\left(F \right)}}"," ",0,"exp(-c*log(F))*log(F**(c + d*x) + a/b)/(b*d*log(F))","A",0
10,1,17,0,0.139151," ","integrate(F**(d*x+c)/(a+b*F**(d*x+c)),x)","\frac{\log{\left(F^{c + d x} + \frac{a}{b} \right)}}{b d \log{\left(F \right)}}"," ",0,"log(F**(c + d*x) + a/b)/(b*d*log(F))","A",0
11,1,82,0,1.262927," ","integrate(F**x*(a+b*F**x)**n,x)","\begin{cases} \frac{x}{a} & \text{for}\: F = 1 \wedge b = 0 \wedge n = -1 \\x \left(a + b\right)^{n} & \text{for}\: F = 1 \\\frac{F^{x} a^{n}}{\log{\left(F \right)}} & \text{for}\: b = 0 \\\frac{\log{\left(F^{x} + \frac{a}{b} \right)}}{b \log{\left(F \right)}} & \text{for}\: n = -1 \\\frac{F^{x} b \left(F^{x} b + a\right)^{n}}{b n \log{\left(F \right)} + b \log{\left(F \right)}} + \frac{a \left(F^{x} b + a\right)^{n}}{b n \log{\left(F \right)} + b \log{\left(F \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x/a, Eq(F, 1) & Eq(b, 0) & Eq(n, -1)), (x*(a + b)**n, Eq(F, 1)), (F**x*a**n/log(F), Eq(b, 0)), (log(F**x + a/b)/(b*log(F)), Eq(n, -1)), (F**x*b*(F**x*b + a)**n/(b*n*log(F) + b*log(F)) + a*(F**x*b + a)**n/(b*n*log(F) + b*log(F)), True))","A",0
12,1,141,0,145.674620," ","integrate(F**(d*x)*(a+b*F**(d*x+c))**n,x)","\begin{cases} \frac{x}{a} & \text{for}\: F = 1 \wedge b = 0 \wedge d = 0 \wedge n = -1 \\x \left(a + b\right)^{n} & \text{for}\: F = 1 \\\frac{F^{d x} a^{n}}{d \log{\left(F \right)}} & \text{for}\: b = 0 \\x \left(F^{c} b + a\right)^{n} & \text{for}\: d = 0 \\\frac{F^{- c} \log{\left(F^{c} F^{d x} + \frac{a}{b} \right)}}{b d \log{\left(F \right)}} & \text{for}\: n = -1 \\\frac{F^{c} F^{d x} b \left(F^{c} F^{d x} b + a\right)^{n}}{F^{c} b d n \log{\left(F \right)} + F^{c} b d \log{\left(F \right)}} + \frac{a \left(F^{c} F^{d x} b + a\right)^{n}}{F^{c} b d n \log{\left(F \right)} + F^{c} b d \log{\left(F \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x/a, Eq(F, 1) & Eq(b, 0) & Eq(d, 0) & Eq(n, -1)), (x*(a + b)**n, Eq(F, 1)), (F**(d*x)*a**n/(d*log(F)), Eq(b, 0)), (x*(F**c*b + a)**n, Eq(d, 0)), (F**(-c)*log(F**c*F**(d*x) + a/b)/(b*d*log(F)), Eq(n, -1)), (F**c*F**(d*x)*b*(F**c*F**(d*x)*b + a)**n/(F**c*b*d*n*log(F) + F**c*b*d*log(F)) + a*(F**c*F**(d*x)*b + a)**n/(F**c*b*d*n*log(F) + F**c*b*d*log(F)), True))","A",0
13,-1,0,0,0.000000," ","integrate(F**(d*x+c)*(a+b*F**(d*x+c))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
14,1,80,0,2.381434," ","integrate(exp(x)**n*(a+b*exp(x)**n)**p,x)","\begin{cases} \frac{x}{a} & \text{for}\: b = 0 \wedge n = 0 \wedge p = -1 \\\frac{a^{p} \left(e^{x}\right)^{n}}{n} & \text{for}\: b = 0 \\x \left(a + b\right)^{p} & \text{for}\: n = 0 \\\frac{\log{\left(\frac{a}{b} + \left(e^{x}\right)^{n} \right)}}{b n} & \text{for}\: p = -1 \\\frac{a \left(a + b \left(e^{x}\right)^{n}\right)^{p}}{b n p + b n} + \frac{b \left(a + b \left(e^{x}\right)^{n}\right)^{p} \left(e^{x}\right)^{n}}{b n p + b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x/a, Eq(b, 0) & Eq(n, 0) & Eq(p, -1)), (a**p*exp(x)**n/n, Eq(b, 0)), (x*(a + b)**p, Eq(n, 0)), (log(a/b + exp(x)**n)/(b*n), Eq(p, -1)), (a*(a + b*exp(x)**n)**p/(b*n*p + b*n) + b*(a + b*exp(x)**n)**p*exp(x)**n/(b*n*p + b*n), True))","A",0
15,0,0,0,0.000000," ","integrate(exp(n*x)*(a+b*exp(x)**n)**p,x)","\int \left(a + b \left(e^{x}\right)^{n}\right)^{p} e^{n x}\, dx"," ",0,"Integral((a + b*exp(x)**n)**p*exp(n*x), x)","F",0
16,-1,0,0,0.000000," ","integrate((F**(e*(d*x+c)))**n*(a+b*(F**(e*(d*x+c)))**n)**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
17,-1,0,0,0.000000," ","integrate((a+b*(F**(e*(d*x+c)))**n)**p*(G**(h*(g*x+f)))**(d*e*n*ln(F)/g/h/ln(G)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
18,1,20,0,0.129422," ","integrate(exp(2*x)/(a+b*exp(x)),x)","- \frac{a \log{\left(\frac{a}{b} + e^{x} \right)}}{b^{2}} + \begin{cases} \frac{e^{x}}{b} & \text{for}\: b \neq 0 \\\frac{x}{b} & \text{otherwise} \end{cases}"," ",0,"-a*log(a/b + exp(x))/b**2 + Piecewise((exp(x)/b, Ne(b, 0)), (x/b, True))","A",0
19,1,24,0,0.133692," ","integrate(exp(2*x)/(a+b*exp(x))**2,x)","\frac{a}{a b^{2} + b^{3} e^{x}} + \frac{\log{\left(\frac{a}{b} + e^{x} \right)}}{b^{2}}"," ",0,"a/(a*b**2 + b**3*exp(x)) + log(a/b + exp(x))/b**2","A",0
20,1,37,0,0.132899," ","integrate(exp(2*x)/(a+b*exp(x))**3,x)","\frac{- a - 2 b e^{x}}{2 a^{2} b^{2} + 4 a b^{3} e^{x} + 2 b^{4} e^{2 x}}"," ",0,"(-a - 2*b*exp(x))/(2*a**2*b**2 + 4*a*b**3*exp(x) + 2*b**4*exp(2*x))","B",0
21,1,51,0,0.164123," ","integrate(exp(2*x)/(a+b*exp(x))**4,x)","\frac{- a - 3 b e^{x}}{6 a^{3} b^{2} + 18 a^{2} b^{3} e^{x} + 18 a b^{4} e^{2 x} + 6 b^{5} e^{3 x}}"," ",0,"(-a - 3*b*exp(x))/(6*a**3*b**2 + 18*a**2*b**3*exp(x) + 18*a*b**4*exp(2*x) + 6*b**5*exp(3*x))","A",0
22,1,29,0,0.140738," ","integrate(exp(4*x)/(a+b*exp(2*x)),x)","- \frac{a \log{\left(\frac{a}{b} + e^{2 x} \right)}}{2 b^{2}} + \begin{cases} \frac{e^{2 x}}{2 b} & \text{for}\: 2 b \neq 0 \\\frac{x}{b} & \text{otherwise} \end{cases}"," ",0,"-a*log(a/b + exp(2*x))/(2*b**2) + Piecewise((exp(2*x)/(2*b), Ne(2*b, 0)), (x/b, True))","A",0
23,1,32,0,0.138908," ","integrate(exp(4*x)/(a+b*exp(2*x))**2,x)","\frac{a}{2 a b^{2} + 2 b^{3} e^{2 x}} + \frac{\log{\left(\frac{a}{b} + e^{2 x} \right)}}{2 b^{2}}"," ",0,"a/(2*a*b**2 + 2*b**3*exp(2*x)) + log(a/b + exp(2*x))/(2*b**2)","A",0
24,1,41,0,0.135105," ","integrate(exp(4*x)/(a+b*exp(2*x))**3,x)","\frac{- a - 2 b e^{2 x}}{4 a^{2} b^{2} + 8 a b^{3} e^{2 x} + 4 b^{4} e^{4 x}}"," ",0,"(-a - 2*b*exp(2*x))/(4*a**2*b**2 + 8*a*b**3*exp(2*x) + 4*b**4*exp(4*x))","B",0
25,1,54,0,0.165657," ","integrate(exp(4*x)/(a+b*exp(2*x))**4,x)","\frac{- a - 3 b e^{2 x}}{12 a^{3} b^{2} + 36 a^{2} b^{3} e^{2 x} + 36 a b^{4} e^{4 x} + 12 b^{5} e^{6 x}}"," ",0,"(-a - 3*b*exp(2*x))/(12*a**3*b**2 + 36*a**2*b**3*exp(2*x) + 36*a*b**4*exp(4*x) + 12*b**5*exp(6*x))","A",0
26,0,0,0,0.000000," ","integrate(exp(4*x)/(a+b*exp(2*x))**(2/3),x)","\int \frac{e^{4 x}}{\left(a + b e^{2 x}\right)^{\frac{2}{3}}}\, dx"," ",0,"Integral(exp(4*x)/(a + b*exp(2*x))**(2/3), x)","F",0
27,1,15,0,0.109480," ","integrate((a+b*exp(n*x))/exp(n*x),x)","b x + \begin{cases} - \frac{a e^{- n x}}{n} & \text{for}\: n \neq 0 \\a x & \text{otherwise} \end{cases}"," ",0,"b*x + Piecewise((-a*exp(-n*x)/n, Ne(n, 0)), (a*x, True))","A",0
28,1,39,0,0.149697," ","integrate((a+b*exp(n*x))**2/exp(n*x),x)","2 a b x + \begin{cases} \frac{- a^{2} n e^{- n x} + b^{2} n e^{n x}}{n^{2}} & \text{for}\: n^{2} \neq 0 \\x \left(a^{2} + b^{2}\right) & \text{otherwise} \end{cases}"," ",0,"2*a*b*x + Piecewise(((-a**2*n*exp(-n*x) + b**2*n*exp(n*x))/n**2, Ne(n**2, 0)), (x*(a**2 + b**2), True))","A",0
29,1,73,0,0.185255," ","integrate((a+b*exp(n*x))**3/exp(n*x),x)","3 a^{2} b x + \begin{cases} \frac{- 2 a^{3} n^{2} e^{- n x} + 6 a b^{2} n^{2} e^{n x} + b^{3} n^{2} e^{2 n x}}{2 n^{3}} & \text{for}\: 2 n^{3} \neq 0 \\x \left(a^{3} + 3 a b^{2} + b^{3}\right) & \text{otherwise} \end{cases}"," ",0,"3*a**2*b*x + Piecewise(((-2*a**3*n**2*exp(-n*x) + 6*a*b**2*n**2*exp(n*x) + b**3*n**2*exp(2*n*x))/(2*n**3), Ne(2*n**3, 0)), (x*(a**3 + 3*a*b**2 + b**3), True))","A",0
30,1,34,0,0.163084," ","integrate(1/exp(n*x)/(a+b*exp(n*x)),x)","\begin{cases} - \frac{e^{- n x}}{a n} & \text{for}\: a n \neq 0 \\\frac{x}{a} & \text{otherwise} \end{cases} + \frac{b \log{\left(e^{- n x} + \frac{b}{a} \right)}}{a^{2} n}"," ",0,"Piecewise((-exp(-n*x)/(a*n), Ne(a*n, 0)), (x/a, True)) + b*log(exp(-n*x) + b/a)/(a**2*n)","A",0
31,1,61,0,0.185989," ","integrate(1/exp(n*x)/(a+b*exp(n*x))**2,x)","\frac{b^{2}}{a^{4} n e^{- n x} + a^{3} b n} + \begin{cases} - \frac{e^{- n x}}{a^{2} n} & \text{for}\: a^{2} n \neq 0 \\\frac{x}{a^{2}} & \text{otherwise} \end{cases} + \frac{2 b \log{\left(e^{- n x} + \frac{b}{a} \right)}}{a^{3} n}"," ",0,"b**2/(a**4*n*exp(-n*x) + a**3*b*n) + Piecewise((-exp(-n*x)/(a**2*n), Ne(a**2*n, 0)), (x/a**2, True)) + 2*b*log(exp(-n*x) + b/a)/(a**3*n)","A",0
32,1,95,0,0.220972," ","integrate(1/exp(n*x)/(a+b*exp(n*x))**3,x)","\frac{6 a b^{2} e^{- n x} + 5 b^{3}}{2 a^{6} n e^{- 2 n x} + 4 a^{5} b n e^{- n x} + 2 a^{4} b^{2} n} + \begin{cases} - \frac{e^{- n x}}{a^{3} n} & \text{for}\: a^{3} n \neq 0 \\\frac{x}{a^{3}} & \text{otherwise} \end{cases} + \frac{3 b \log{\left(e^{- n x} + \frac{b}{a} \right)}}{a^{4} n}"," ",0,"(6*a*b**2*exp(-n*x) + 5*b**3)/(2*a**6*n*exp(-2*n*x) + 4*a**5*b*n*exp(-n*x) + 2*a**4*b**2*n) + Piecewise((-exp(-n*x)/(a**3*n), Ne(a**3*n, 0)), (x/a**3, True)) + 3*b*log(exp(-n*x) + b/a)/(a**4*n)","A",0
33,1,51,0,0.872907," ","integrate(f**(b*x+a)/(c+d*f**(2*b*x+e)),x)","\operatorname{RootSum} {\left(4 z^{2} b^{2} c d e^{e \log{\left(f \right)}} \log{\left(f \right)}^{2} + e^{2 a \log{\left(f \right)}}, \left( i \mapsto i \log{\left(2 i b c \log{\left(f \right)} + f^{a + b x} \right)} \right)\right)}"," ",0,"RootSum(4*_z**2*b**2*c*d*exp(e*log(f))*log(f)**2 + exp(2*a*log(f)), Lambda(_i, _i*log(2*_i*b*c*log(f) + f**(a + b*x))))","A",0
34,1,42,0,0.773050," ","integrate(f**(2*b*x+a)/(c+d*f**(2*b*x+e)),x)","\frac{e^{\left(a - e\right) \log{\left(f \right)}} \log{\left(\frac{c e^{a \log{\left(f \right)}} e^{- e \log{\left(f \right)}}}{d} + f^{a + 2 b x} \right)}}{2 b d \log{\left(f \right)}}"," ",0,"exp((a - e)*log(f))*log(c*exp(a*log(f))*exp(-e*log(f))/d + f**(a + 2*b*x))/(2*b*d*log(f))","A",0
35,1,110,0,1.352077," ","integrate(f**(3*b*x+a)/(c+d*f**(2*b*x+e)),x)","\operatorname{RootSum} {\left(4 z^{2} b^{2} d^{3} e^{3 e \log{\left(f \right)}} \log{\left(f \right)}^{2} + c e^{2 a \log{\left(f \right)}}, \left( i \mapsto i \log{\left(- 2 i b d e^{- \frac{2 a \log{\left(f \right)}}{3}} e^{e \log{\left(f \right)}} \log{\left(f \right)} + e^{\frac{\left(a + 3 b x\right) \log{\left(f \right)}}{3}} \right)} \right)\right)} + \frac{\left(\begin{cases} x & \text{for}\: b = 0 \vee f = 1 \\\frac{e^{b x \log{\left(f \right)}}}{b \log{\left(f \right)}} & \text{otherwise} \end{cases}\right) e^{a \log{\left(f \right)}} e^{- e \log{\left(f \right)}}}{d}"," ",0,"RootSum(4*_z**2*b**2*d**3*exp(3*e*log(f))*log(f)**2 + c*exp(2*a*log(f)), Lambda(_i, _i*log(-2*_i*b*d*exp(-2*a*log(f)/3)*exp(e*log(f))*log(f) + exp((a + 3*b*x)*log(f)/3)))) + Piecewise((x, Eq(b, 0) | Eq(f, 1)), (exp(b*x*log(f))/(b*log(f)), True))*exp(a*log(f))*exp(-e*log(f))/d","A",0
36,1,92,0,1.191144," ","integrate(f**(4*b*x+a)/(c+d*f**(2*b*x+e)),x)","\frac{\left(\begin{cases} x & \text{for}\: b = 0 \vee f = 1 \\\frac{e^{2 b x \log{\left(f \right)}}}{2 b \log{\left(f \right)}} & \text{otherwise} \end{cases}\right) e^{a \log{\left(f \right)}} e^{- e \log{\left(f \right)}}}{d} - \frac{c e^{\left(a - 2 e\right) \log{\left(f \right)}} \log{\left(\frac{c e^{\frac{a \log{\left(f \right)}}{2}} e^{- e \log{\left(f \right)}}}{d} + \sqrt{e^{\left(a + 4 b x\right) \log{\left(f \right)}}} \right)}}{2 b d^{2} \log{\left(f \right)}}"," ",0,"Piecewise((x, Eq(b, 0) | Eq(f, 1)), (exp(2*b*x*log(f))/(2*b*log(f)), True))*exp(a*log(f))*exp(-e*log(f))/d - c*exp((a - 2*e)*log(f))*log(c*exp(a*log(f)/2)*exp(-e*log(f))/d + sqrt(exp((a + 4*b*x)*log(f))))/(2*b*d**2*log(f))","A",0
37,1,185,0,1.672985," ","integrate(f**(5*b*x+a)/(c+d*f**(2*b*x+e)),x)","\operatorname{RootSum} {\left(4 z^{2} b^{2} d^{5} e^{5 e \log{\left(f \right)}} \log{\left(f \right)}^{2} + c^{3} e^{2 a \log{\left(f \right)}}, \left( i \mapsto i \log{\left(\frac{2 i b d^{2} e^{- \frac{4 a \log{\left(f \right)}}{5}} e^{2 e \log{\left(f \right)}} \log{\left(f \right)}}{c} + e^{\frac{\left(a + 5 b x\right) \log{\left(f \right)}}{5}} \right)} \right)\right)} + \frac{\left(\begin{cases} x \left(- c + d\right) & \text{for}\: b = 0 \wedge f = 1 \\x \left(- c e^{a \log{\left(f \right)}} + d e^{a \log{\left(f \right)}} e^{e \log{\left(f \right)}}\right) & \text{for}\: b = 0 \\x \left(- c + d\right) & \text{for}\: f = 1 \\- \frac{c e^{a \log{\left(f \right)}} e^{b x \log{\left(f \right)}}}{b \log{\left(f \right)}} + \frac{d e^{a \log{\left(f \right)}} e^{e \log{\left(f \right)}} e^{3 b x \log{\left(f \right)}}}{3 b \log{\left(f \right)}} & \text{otherwise} \end{cases}\right) e^{- 2 e \log{\left(f \right)}}}{d^{2}}"," ",0,"RootSum(4*_z**2*b**2*d**5*exp(5*e*log(f))*log(f)**2 + c**3*exp(2*a*log(f)), Lambda(_i, _i*log(2*_i*b*d**2*exp(-4*a*log(f)/5)*exp(2*e*log(f))*log(f)/c + exp((a + 5*b*x)*log(f)/5)))) + Piecewise((x*(-c + d), Eq(b, 0) & Eq(f, 1)), (x*(-c*exp(a*log(f)) + d*exp(a*log(f))*exp(e*log(f))), Eq(b, 0)), (x*(-c + d), Eq(f, 1)), (-c*exp(a*log(f))*exp(b*x*log(f))/(b*log(f)) + d*exp(a*log(f))*exp(e*log(f))*exp(3*b*x*log(f))/(3*b*log(f)), True))*exp(-2*e*log(f))/d**2","A",0
38,1,15,0,0.111140," ","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
39,1,15,0,0.106958," ","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
40,0,0,0,0.000000," ","integrate(exp(x)*x/(1-exp(2*x)),x)","- \int \frac{x e^{x}}{e^{2 x} - 1}\, dx"," ",0,"-Integral(x*exp(x)/(exp(2*x) - 1), x)","F",0
41,0,0,0,0.000000," ","integrate(exp(x)*x**2/(1-exp(2*x)),x)","- \int \frac{x^{2} e^{x}}{e^{2 x} - 1}\, dx"," ",0,"-Integral(x**2*exp(x)/(exp(2*x) - 1), x)","F",0
42,0,0,0,0.000000," ","integrate(exp(x)*x**3/(1-exp(2*x)),x)","- \int \frac{x^{3} e^{x}}{e^{2 x} - 1}\, dx"," ",0,"-Integral(x**3*exp(x)/(exp(2*x) - 1), x)","F",0
43,1,24,0,0.181764," ","integrate(f**x/(a+b*f**(2*x)),x)","\frac{\operatorname{RootSum} {\left(4 z^{2} a b + 1, \left( i \mapsto i \log{\left(2 i a + f^{x} \right)} \right)\right)}}{\log{\left(f \right)}}"," ",0,"RootSum(4*_z**2*a*b + 1, Lambda(_i, _i*log(2*_i*a + f**x)))/log(f)","A",0
44,0,0,0,0.000000," ","integrate(f**x*x/(a+b*f**(2*x)),x)","\int \frac{f^{x} x}{a + b f^{2 x}}\, dx"," ",0,"Integral(f**x*x/(a + b*f**(2*x)), x)","F",0
45,0,0,0,0.000000," ","integrate(f**x*x**2/(a+b*f**(2*x)),x)","\int \frac{f^{x} x^{2}}{a + b f^{2 x}}\, dx"," ",0,"Integral(f**x*x**2/(a + b*f**(2*x)), x)","F",0
46,0,0,0,0.000000," ","integrate(f**x*x**3/(a+b*f**(2*x)),x)","\int \frac{f^{x} x^{3}}{a + b f^{2 x}}\, dx"," ",0,"Integral(f**x*x**3/(a + b*f**(2*x)), x)","F",0
47,1,53,0,0.233272," ","integrate(f**x/(a+b*f**(2*x))**2,x)","\frac{f^{x}}{2 a^{2} \log{\left(f \right)} + 2 a b f^{2 x} \log{\left(f \right)}} + \frac{\operatorname{RootSum} {\left(16 z^{2} a^{3} b + 1, \left( i \mapsto i \log{\left(4 i a^{2} + f^{x} \right)} \right)\right)}}{\log{\left(f \right)}}"," ",0,"f**x/(2*a**2*log(f) + 2*a*b*f**(2*x)*log(f)) + RootSum(16*_z**2*a**3*b + 1, Lambda(_i, _i*log(4*_i*a**2 + f**x)))/log(f)","A",0
48,0,0,0,0.000000," ","integrate(f**x*x/(a+b*f**(2*x))**2,x)","\frac{f^{x} x}{2 a^{2} \log{\left(f \right)} + 2 a b f^{2 x} \log{\left(f \right)}} + \frac{\int \left(- \frac{f^{x}}{a + b f^{2 x}}\right)\, dx + \int \frac{f^{x} x \log{\left(f \right)}}{a + b f^{2 x}}\, dx}{2 a \log{\left(f \right)}}"," ",0,"f**x*x/(2*a**2*log(f) + 2*a*b*f**(2*x)*log(f)) + (Integral(-f**x/(a + b*f**(2*x)), x) + Integral(f**x*x*log(f)/(a + b*f**(2*x)), x))/(2*a*log(f))","F",0
49,0,0,0,0.000000," ","integrate(f**x*x**2/(a+b*f**(2*x))**2,x)","\frac{f^{x} x^{2}}{2 a^{2} \log{\left(f \right)} + 2 a b f^{2 x} \log{\left(f \right)}} + \frac{\int \left(- \frac{2 f^{x} x}{a + b f^{2 x}}\right)\, dx + \int \frac{f^{x} x^{2} \log{\left(f \right)}}{a + b f^{2 x}}\, dx}{2 a \log{\left(f \right)}}"," ",0,"f**x*x**2/(2*a**2*log(f) + 2*a*b*f**(2*x)*log(f)) + (Integral(-2*f**x*x/(a + b*f**(2*x)), x) + Integral(f**x*x**2*log(f)/(a + b*f**(2*x)), x))/(2*a*log(f))","F",0
50,0,0,0,0.000000," ","integrate(f**x*x**3/(a+b*f**(2*x))**2,x)","\frac{f^{x} x^{3}}{2 a^{2} \log{\left(f \right)} + 2 a b f^{2 x} \log{\left(f \right)}} + \frac{\int \left(- \frac{3 f^{x} x^{2}}{a + b f^{2 x}}\right)\, dx + \int \frac{f^{x} x^{3} \log{\left(f \right)}}{a + b f^{2 x}}\, dx}{2 a \log{\left(f \right)}}"," ",0,"f**x*x**3/(2*a**2*log(f) + 2*a*b*f**(2*x)*log(f)) + (Integral(-3*f**x*x**2/(a + b*f**(2*x)), x) + Integral(f**x*x**3*log(f)/(a + b*f**(2*x)), x))/(2*a*log(f))","F",0
51,1,85,0,0.351498," ","integrate(f**x/(a+b*f**(2*x))**3,x)","\frac{5 a f^{x} + 3 b f^{3 x}}{8 a^{4} \log{\left(f \right)} + 16 a^{3} b f^{2 x} \log{\left(f \right)} + 8 a^{2} b^{2} f^{4 x} \log{\left(f \right)}} + \frac{\operatorname{RootSum} {\left(256 z^{2} a^{5} b + 9, \left( i \mapsto i \log{\left(\frac{16 i a^{3}}{3} + f^{x} \right)} \right)\right)}}{\log{\left(f \right)}}"," ",0,"(5*a*f**x + 3*b*f**(3*x))/(8*a**4*log(f) + 16*a**3*b*f**(2*x)*log(f) + 8*a**2*b**2*f**(4*x)*log(f)) + RootSum(256*_z**2*a**5*b + 9, Lambda(_i, _i*log(16*_i*a**3/3 + f**x)))/log(f)","A",0
52,0,0,0,0.000000," ","integrate(f**x*x/(a+b*f**(2*x))**3,x)","\frac{f^{3 x} \left(3 b x \log{\left(f \right)} - b\right) + f^{x} \left(5 a x \log{\left(f \right)} - a\right)}{8 a^{4} \log{\left(f \right)}^{2} + 16 a^{3} b f^{2 x} \log{\left(f \right)}^{2} + 8 a^{2} b^{2} f^{4 x} \log{\left(f \right)}^{2}} + \frac{\int \left(- \frac{4 f^{x}}{a + b f^{2 x}}\right)\, dx + \int \frac{3 f^{x} x \log{\left(f \right)}}{a + b f^{2 x}}\, dx}{8 a^{2} \log{\left(f \right)}}"," ",0,"(f**(3*x)*(3*b*x*log(f) - b) + f**x*(5*a*x*log(f) - a))/(8*a**4*log(f)**2 + 16*a**3*b*f**(2*x)*log(f)**2 + 8*a**2*b**2*f**(4*x)*log(f)**2) + (Integral(-4*f**x/(a + b*f**(2*x)), x) + Integral(3*f**x*x*log(f)/(a + b*f**(2*x)), x))/(8*a**2*log(f))","F",0
53,0,0,0,0.000000," ","integrate(f**x*x**2/(a+b*f**(2*x))**3,x)","\frac{f^{3 x} \left(3 b x^{2} \log{\left(f \right)} - 2 b x\right) + f^{x} \left(5 a x^{2} \log{\left(f \right)} - 2 a x\right)}{8 a^{4} \log{\left(f \right)}^{2} + 16 a^{3} b f^{2 x} \log{\left(f \right)}^{2} + 8 a^{2} b^{2} f^{4 x} \log{\left(f \right)}^{2}} + \frac{\int \frac{2 f^{x}}{a + b f^{2 x}}\, dx + \int \left(- \frac{8 f^{x} x \log{\left(f \right)}}{a + b f^{2 x}}\right)\, dx + \int \frac{3 f^{x} x^{2} \log{\left(f \right)}^{2}}{a + b f^{2 x}}\, dx}{8 a^{2} \log{\left(f \right)}^{2}}"," ",0,"(f**(3*x)*(3*b*x**2*log(f) - 2*b*x) + f**x*(5*a*x**2*log(f) - 2*a*x))/(8*a**4*log(f)**2 + 16*a**3*b*f**(2*x)*log(f)**2 + 8*a**2*b**2*f**(4*x)*log(f)**2) + (Integral(2*f**x/(a + b*f**(2*x)), x) + Integral(-8*f**x*x*log(f)/(a + b*f**(2*x)), x) + Integral(3*f**x*x**2*log(f)**2/(a + b*f**(2*x)), x))/(8*a**2*log(f)**2)","F",0
54,1,24,0,0.185321," ","integrate(1/(b/(f**x)+a*f**x),x)","\frac{\operatorname{RootSum} {\left(4 z^{2} a b + 1, \left( i \mapsto i \log{\left(2 i b + f^{x} \right)} \right)\right)}}{\log{\left(f \right)}}"," ",0,"RootSum(4*_z**2*a*b + 1, Lambda(_i, _i*log(2*_i*b + f**x)))/log(f)","A",0
55,0,0,0,0.000000," ","integrate(x/(b/(f**x)+a*f**x),x)","\int \frac{f^{x} x}{a f^{2 x} + b}\, dx"," ",0,"Integral(f**x*x/(a*f**(2*x) + b), x)","F",0
56,0,0,0,0.000000," ","integrate(x**2/(b/(f**x)+a*f**x),x)","\int \frac{f^{x} x^{2}}{a f^{2 x} + b}\, dx"," ",0,"Integral(f**x*x**2/(a*f**(2*x) + b), x)","F",0
57,0,0,0,0.000000," ","integrate(x**3/(b/(f**x)+a*f**x),x)","\int \frac{f^{x} x^{3}}{a f^{2 x} + b}\, dx"," ",0,"Integral(f**x*x**3/(a*f**(2*x) + b), x)","F",0
58,1,24,0,0.122257," ","integrate(1/(b/(f**x)+a*f**x)**2,x)","- \frac{1}{2 a^{2} f^{2 x} \log{\left(f \right)} + 2 a b \log{\left(f \right)}}"," ",0,"-1/(2*a**2*f**(2*x)*log(f) + 2*a*b*log(f))","A",0
59,1,53,0,0.185796," ","integrate(x/(b/(f**x)+a*f**x)**2,x)","- \frac{x}{2 a^{2} f^{2 x} \log{\left(f \right)} + 2 a b \log{\left(f \right)}} + \frac{x}{2 a b \log{\left(f \right)}} - \frac{\log{\left(f^{2 x} + \frac{b}{a} \right)}}{4 a b \log{\left(f \right)}^{2}}"," ",0,"-x/(2*a**2*f**(2*x)*log(f) + 2*a*b*log(f)) + x/(2*a*b*log(f)) - log(f**(2*x) + b/a)/(4*a*b*log(f)**2)","A",0
60,0,0,0,0.000000," ","integrate(x**2/(b/(f**x)+a*f**x)**2,x)","- \frac{x^{2}}{2 a^{2} f^{2 x} \log{\left(f \right)} + 2 a b \log{\left(f \right)}} + \frac{\int \frac{x}{a f^{2 x} + b}\, dx}{a \log{\left(f \right)}}"," ",0,"-x**2/(2*a**2*f**(2*x)*log(f) + 2*a*b*log(f)) + Integral(x/(a*f**(2*x) + b), x)/(a*log(f))","F",0
61,0,0,0,0.000000," ","integrate(x**3/(b/(f**x)+a*f**x)**2,x)","- \frac{x^{3}}{2 a^{2} f^{2 x} \log{\left(f \right)} + 2 a b \log{\left(f \right)}} + \frac{3 \int \frac{x^{2}}{a f^{2 x} + b}\, dx}{2 a \log{\left(f \right)}}"," ",0,"-x**3/(2*a**2*f**(2*x)*log(f) + 2*a*b*log(f)) + 3*Integral(x**2/(a*f**(2*x) + b), x)/(2*a*log(f))","F",0
62,1,85,0,0.279118," ","integrate(1/(b/(f**x)+a*f**x)**3,x)","\frac{a f^{3 x} - b f^{x}}{8 a^{3} b f^{4 x} \log{\left(f \right)} + 16 a^{2} b^{2} f^{2 x} \log{\left(f \right)} + 8 a b^{3} \log{\left(f \right)}} + \frac{\operatorname{RootSum} {\left(256 z^{2} a^{3} b^{3} + 1, \left( i \mapsto i \log{\left(16 i a b^{2} + f^{x} \right)} \right)\right)}}{\log{\left(f \right)}}"," ",0,"(a*f**(3*x) - b*f**x)/(8*a**3*b*f**(4*x)*log(f) + 16*a**2*b**2*f**(2*x)*log(f) + 8*a*b**3*log(f)) + RootSum(256*_z**2*a**3*b**3 + 1, Lambda(_i, _i*log(16*_i*a*b**2 + f**x)))/log(f)","A",0
63,0,0,0,0.000000," ","integrate(x/(b/(f**x)+a*f**x)**3,x)","\frac{f^{3 x} \left(a x \log{\left(f \right)} + a\right) + f^{x} \left(- b x \log{\left(f \right)} + b\right)}{8 a^{3} b f^{4 x} \log{\left(f \right)}^{2} + 16 a^{2} b^{2} f^{2 x} \log{\left(f \right)}^{2} + 8 a b^{3} \log{\left(f \right)}^{2}} + \frac{\int \frac{f^{x} x}{a f^{2 x} + b}\, dx}{8 a b}"," ",0,"(f**(3*x)*(a*x*log(f) + a) + f**x*(-b*x*log(f) + b))/(8*a**3*b*f**(4*x)*log(f)**2 + 16*a**2*b**2*f**(2*x)*log(f)**2 + 8*a*b**3*log(f)**2) + Integral(f**x*x/(a*f**(2*x) + b), x)/(8*a*b)","F",0
64,0,0,0,0.000000," ","integrate(x**2/(b/(f**x)+a*f**x)**3,x)","\frac{f^{3 x} \left(a x^{2} \log{\left(f \right)} + 2 a x\right) + f^{x} \left(- b x^{2} \log{\left(f \right)} + 2 b x\right)}{8 a^{3} b f^{4 x} \log{\left(f \right)}^{2} + 16 a^{2} b^{2} f^{2 x} \log{\left(f \right)}^{2} + 8 a b^{3} \log{\left(f \right)}^{2}} + \frac{\int \left(- \frac{2 f^{x}}{a f^{2 x} + b}\right)\, dx + \int \frac{f^{x} x^{2} \log{\left(f \right)}^{2}}{a f^{2 x} + b}\, dx}{8 a b \log{\left(f \right)}^{2}}"," ",0,"(f**(3*x)*(a*x**2*log(f) + 2*a*x) + f**x*(-b*x**2*log(f) + 2*b*x))/(8*a**3*b*f**(4*x)*log(f)**2 + 16*a**2*b**2*f**(2*x)*log(f)**2 + 8*a*b**3*log(f)**2) + (Integral(-2*f**x/(a*f**(2*x) + b), x) + Integral(f**x*x**2*log(f)**2/(a*f**(2*x) + b), x))/(8*a*b*log(f)**2)","F",0
65,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*g**(f*x**2+e*x+d),x)","\int f^{a + b x + c x^{2}} g^{d + e x + f x^{2}}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*g**(d + e*x + f*x**2), x)","F",0
66,-1,0,0,0.000000," ","integrate(F**(e*(d*x+c))*(a+b*G**(h*(g*x+f)))**n,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
67,0,0,0,0.000000," ","integrate(F**(e*(d*x+c))*H**(t*(s*x+r))/(a+b*F**(e*(d*x+c))),x)","\int \frac{F^{e \left(c + d x\right)} H^{t \left(r + s x\right)}}{F^{c e} F^{d e x} b + a}\, dx"," ",0,"Integral(F**(e*(c + d*x))*H**(t*(r + s*x))/(F**(c*e)*F**(d*e*x)*b + a), x)","F",0
68,0,0,0,0.000000," ","integrate(F**(e*(d*x+f))*H**(t*(s*x+r))/(a+b*F**(e*(d*x+c))),x)","\int \frac{F^{e \left(d x + f\right)} H^{t \left(r + s x\right)}}{F^{c e} F^{d e x} b + a}\, dx"," ",0,"Integral(F**(e*(d*x + f))*H**(t*(r + s*x))/(F**(c*e)*F**(d*e*x)*b + a), x)","F",0
69,0,0,0,0.000000," ","integrate(f**(b*x**2+a)*x**m,x)","\int f^{a + b x^{2}} x^{m}\, dx"," ",0,"Integral(f**(a + b*x**2)*x**m, x)","F",0
70,1,95,0,0.163234," ","integrate(f**(b*x**2+a)*x**11,x)","\begin{cases} \frac{f^{a + b x^{2}} \left(b^{5} x^{10} \log{\left(f \right)}^{5} - 5 b^{4} x^{8} \log{\left(f \right)}^{4} + 20 b^{3} x^{6} \log{\left(f \right)}^{3} - 60 b^{2} x^{4} \log{\left(f \right)}^{2} + 120 b x^{2} \log{\left(f \right)} - 120\right)}{2 b^{6} \log{\left(f \right)}^{6}} & \text{for}\: 2 b^{6} \log{\left(f \right)}^{6} \neq 0 \\\frac{x^{12}}{12} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(a + b*x**2)*(b**5*x**10*log(f)**5 - 5*b**4*x**8*log(f)**4 + 20*b**3*x**6*log(f)**3 - 60*b**2*x**4*log(f)**2 + 120*b*x**2*log(f) - 120)/(2*b**6*log(f)**6), Ne(2*b**6*log(f)**6, 0)), (x**12/12, True))","A",0
71,1,82,0,0.151359," ","integrate(f**(b*x**2+a)*x**9,x)","\begin{cases} \frac{f^{a + b x^{2}} \left(b^{4} x^{8} \log{\left(f \right)}^{4} - 4 b^{3} x^{6} \log{\left(f \right)}^{3} + 12 b^{2} x^{4} \log{\left(f \right)}^{2} - 24 b x^{2} \log{\left(f \right)} + 24\right)}{2 b^{5} \log{\left(f \right)}^{5}} & \text{for}\: 2 b^{5} \log{\left(f \right)}^{5} \neq 0 \\\frac{x^{10}}{10} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(a + b*x**2)*(b**4*x**8*log(f)**4 - 4*b**3*x**6*log(f)**3 + 12*b**2*x**4*log(f)**2 - 24*b*x**2*log(f) + 24)/(2*b**5*log(f)**5), Ne(2*b**5*log(f)**5, 0)), (x**10/10, True))","A",0
72,1,68,0,0.142390," ","integrate(f**(b*x**2+a)*x**7,x)","\begin{cases} \frac{f^{a + b x^{2}} \left(b^{3} x^{6} \log{\left(f \right)}^{3} - 3 b^{2} x^{4} \log{\left(f \right)}^{2} + 6 b x^{2} \log{\left(f \right)} - 6\right)}{2 b^{4} \log{\left(f \right)}^{4}} & \text{for}\: 2 b^{4} \log{\left(f \right)}^{4} \neq 0 \\\frac{x^{8}}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(a + b*x**2)*(b**3*x**6*log(f)**3 - 3*b**2*x**4*log(f)**2 + 6*b*x**2*log(f) - 6)/(2*b**4*log(f)**4), Ne(2*b**4*log(f)**4, 0)), (x**8/8, True))","A",0
73,1,54,0,0.131113," ","integrate(f**(b*x**2+a)*x**5,x)","\begin{cases} \frac{f^{a + b x^{2}} \left(b^{2} x^{4} \log{\left(f \right)}^{2} - 2 b x^{2} \log{\left(f \right)} + 2\right)}{2 b^{3} \log{\left(f \right)}^{3}} & \text{for}\: 2 b^{3} \log{\left(f \right)}^{3} \neq 0 \\\frac{x^{6}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(a + b*x**2)*(b**2*x**4*log(f)**2 - 2*b*x**2*log(f) + 2)/(2*b**3*log(f)**3), Ne(2*b**3*log(f)**3, 0)), (x**6/6, True))","A",0
74,1,41,0,0.119949," ","integrate(f**(b*x**2+a)*x**3,x)","\begin{cases} \frac{f^{a + b x^{2}} \left(b x^{2} \log{\left(f \right)} - 1\right)}{2 b^{2} \log{\left(f \right)}^{2}} & \text{for}\: 2 b^{2} \log{\left(f \right)}^{2} \neq 0 \\\frac{x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(a + b*x**2)*(b*x**2*log(f) - 1)/(2*b**2*log(f)**2), Ne(2*b**2*log(f)**2, 0)), (x**4/4, True))","A",0
75,1,24,0,0.105058," ","integrate(f**(b*x**2+a)*x,x)","\begin{cases} \frac{f^{a + b x^{2}}}{2 b \log{\left(f \right)}} & \text{for}\: 2 b \log{\left(f \right)} \neq 0 \\\frac{x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(a + b*x**2)/(2*b*log(f)), Ne(2*b*log(f), 0)), (x**2/2, True))","A",0
76,0,0,0,0.000000," ","integrate(f**(b*x**2+a)/x,x)","\int \frac{f^{a + b x^{2}}}{x}\, dx"," ",0,"Integral(f**(a + b*x**2)/x, x)","F",0
77,0,0,0,0.000000," ","integrate(f**(b*x**2+a)/x**3,x)","\int \frac{f^{a + b x^{2}}}{x^{3}}\, dx"," ",0,"Integral(f**(a + b*x**2)/x**3, x)","F",0
78,0,0,0,0.000000," ","integrate(f**(b*x**2+a)/x**5,x)","\int \frac{f^{a + b x^{2}}}{x^{5}}\, dx"," ",0,"Integral(f**(a + b*x**2)/x**5, x)","F",0
79,0,0,0,0.000000," ","integrate(f**(b*x**2+a)/x**7,x)","\int \frac{f^{a + b x^{2}}}{x^{7}}\, dx"," ",0,"Integral(f**(a + b*x**2)/x**7, x)","F",0
80,0,0,0,0.000000," ","integrate(f**(b*x**2+a)/x**9,x)","\int \frac{f^{a + b x^{2}}}{x^{9}}\, dx"," ",0,"Integral(f**(a + b*x**2)/x**9, x)","F",0
81,0,0,0,0.000000," ","integrate(f**(b*x**2+a)/x**11,x)","\int \frac{f^{a + b x^{2}}}{x^{11}}\, dx"," ",0,"Integral(f**(a + b*x**2)/x**11, x)","F",0
82,0,0,0,0.000000," ","integrate(f**(b*x**2+a)*x**12,x)","\int f^{a + b x^{2}} x^{12}\, dx"," ",0,"Integral(f**(a + b*x**2)*x**12, x)","F",0
83,0,0,0,0.000000," ","integrate(f**(b*x**2+a)*x**10,x)","\int f^{a + b x^{2}} x^{10}\, dx"," ",0,"Integral(f**(a + b*x**2)*x**10, x)","F",0
84,0,0,0,0.000000," ","integrate(f**(b*x**2+a)*x**8,x)","\int f^{a + b x^{2}} x^{8}\, dx"," ",0,"Integral(f**(a + b*x**2)*x**8, x)","F",0
85,0,0,0,0.000000," ","integrate(f**(b*x**2+a)*x**6,x)","\int f^{a + b x^{2}} x^{6}\, dx"," ",0,"Integral(f**(a + b*x**2)*x**6, x)","F",0
86,0,0,0,0.000000," ","integrate(f**(b*x**2+a)*x**4,x)","\int f^{a + b x^{2}} x^{4}\, dx"," ",0,"Integral(f**(a + b*x**2)*x**4, x)","F",0
87,0,0,0,0.000000," ","integrate(f**(b*x**2+a)*x**2,x)","\int f^{a + b x^{2}} x^{2}\, dx"," ",0,"Integral(f**(a + b*x**2)*x**2, x)","F",0
88,0,0,0,0.000000," ","integrate(f**(b*x**2+a),x)","\int f^{a + b x^{2}}\, dx"," ",0,"Integral(f**(a + b*x**2), x)","F",0
89,0,0,0,0.000000," ","integrate(f**(b*x**2+a)/x**2,x)","\int \frac{f^{a + b x^{2}}}{x^{2}}\, dx"," ",0,"Integral(f**(a + b*x**2)/x**2, x)","F",0
90,0,0,0,0.000000," ","integrate(f**(b*x**2+a)/x**4,x)","\int \frac{f^{a + b x^{2}}}{x^{4}}\, dx"," ",0,"Integral(f**(a + b*x**2)/x**4, x)","F",0
91,0,0,0,0.000000," ","integrate(f**(b*x**2+a)/x**6,x)","\int \frac{f^{a + b x^{2}}}{x^{6}}\, dx"," ",0,"Integral(f**(a + b*x**2)/x**6, x)","F",0
92,0,0,0,0.000000," ","integrate(f**(b*x**2+a)/x**8,x)","\int \frac{f^{a + b x^{2}}}{x^{8}}\, dx"," ",0,"Integral(f**(a + b*x**2)/x**8, x)","F",0
93,0,0,0,0.000000," ","integrate(f**(b*x**2+a)/x**10,x)","\int \frac{f^{a + b x^{2}}}{x^{10}}\, dx"," ",0,"Integral(f**(a + b*x**2)/x**10, x)","F",0
94,0,0,0,0.000000," ","integrate(f**(b*x**2+a)/x**12,x)","\int \frac{f^{a + b x^{2}}}{x^{12}}\, dx"," ",0,"Integral(f**(a + b*x**2)/x**12, x)","F",0
95,0,0,0,0.000000," ","integrate(f**(b*x**3+a)*x**m,x)","\int f^{a + b x^{3}} x^{m}\, dx"," ",0,"Integral(f**(a + b*x**3)*x**m, x)","F",0
96,1,95,0,0.173850," ","integrate(f**(b*x**3+a)*x**17,x)","\begin{cases} \frac{f^{a + b x^{3}} \left(b^{5} x^{15} \log{\left(f \right)}^{5} - 5 b^{4} x^{12} \log{\left(f \right)}^{4} + 20 b^{3} x^{9} \log{\left(f \right)}^{3} - 60 b^{2} x^{6} \log{\left(f \right)}^{2} + 120 b x^{3} \log{\left(f \right)} - 120\right)}{3 b^{6} \log{\left(f \right)}^{6}} & \text{for}\: 3 b^{6} \log{\left(f \right)}^{6} \neq 0 \\\frac{x^{18}}{18} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(a + b*x**3)*(b**5*x**15*log(f)**5 - 5*b**4*x**12*log(f)**4 + 20*b**3*x**9*log(f)**3 - 60*b**2*x**6*log(f)**2 + 120*b*x**3*log(f) - 120)/(3*b**6*log(f)**6), Ne(3*b**6*log(f)**6, 0)), (x**18/18, True))","A",0
97,1,82,0,0.155026," ","integrate(f**(b*x**3+a)*x**14,x)","\begin{cases} \frac{f^{a + b x^{3}} \left(b^{4} x^{12} \log{\left(f \right)}^{4} - 4 b^{3} x^{9} \log{\left(f \right)}^{3} + 12 b^{2} x^{6} \log{\left(f \right)}^{2} - 24 b x^{3} \log{\left(f \right)} + 24\right)}{3 b^{5} \log{\left(f \right)}^{5}} & \text{for}\: 3 b^{5} \log{\left(f \right)}^{5} \neq 0 \\\frac{x^{15}}{15} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(a + b*x**3)*(b**4*x**12*log(f)**4 - 4*b**3*x**9*log(f)**3 + 12*b**2*x**6*log(f)**2 - 24*b*x**3*log(f) + 24)/(3*b**5*log(f)**5), Ne(3*b**5*log(f)**5, 0)), (x**15/15, True))","A",0
98,1,68,0,0.147213," ","integrate(f**(b*x**3+a)*x**11,x)","\begin{cases} \frac{f^{a + b x^{3}} \left(b^{3} x^{9} \log{\left(f \right)}^{3} - 3 b^{2} x^{6} \log{\left(f \right)}^{2} + 6 b x^{3} \log{\left(f \right)} - 6\right)}{3 b^{4} \log{\left(f \right)}^{4}} & \text{for}\: 3 b^{4} \log{\left(f \right)}^{4} \neq 0 \\\frac{x^{12}}{12} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(a + b*x**3)*(b**3*x**9*log(f)**3 - 3*b**2*x**6*log(f)**2 + 6*b*x**3*log(f) - 6)/(3*b**4*log(f)**4), Ne(3*b**4*log(f)**4, 0)), (x**12/12, True))","A",0
99,1,54,0,0.135887," ","integrate(f**(b*x**3+a)*x**8,x)","\begin{cases} \frac{f^{a + b x^{3}} \left(b^{2} x^{6} \log{\left(f \right)}^{2} - 2 b x^{3} \log{\left(f \right)} + 2\right)}{3 b^{3} \log{\left(f \right)}^{3}} & \text{for}\: 3 b^{3} \log{\left(f \right)}^{3} \neq 0 \\\frac{x^{9}}{9} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(a + b*x**3)*(b**2*x**6*log(f)**2 - 2*b*x**3*log(f) + 2)/(3*b**3*log(f)**3), Ne(3*b**3*log(f)**3, 0)), (x**9/9, True))","A",0
100,1,41,0,0.120801," ","integrate(f**(b*x**3+a)*x**5,x)","\begin{cases} \frac{f^{a + b x^{3}} \left(b x^{3} \log{\left(f \right)} - 1\right)}{3 b^{2} \log{\left(f \right)}^{2}} & \text{for}\: 3 b^{2} \log{\left(f \right)}^{2} \neq 0 \\\frac{x^{6}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(a + b*x**3)*(b*x**3*log(f) - 1)/(3*b**2*log(f)**2), Ne(3*b**2*log(f)**2, 0)), (x**6/6, True))","A",0
101,1,24,0,0.110896," ","integrate(f**(b*x**3+a)*x**2,x)","\begin{cases} \frac{f^{a + b x^{3}}}{3 b \log{\left(f \right)}} & \text{for}\: 3 b \log{\left(f \right)} \neq 0 \\\frac{x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(a + b*x**3)/(3*b*log(f)), Ne(3*b*log(f), 0)), (x**3/3, True))","A",0
102,0,0,0,0.000000," ","integrate(f**(b*x**3+a)/x,x)","\int \frac{f^{a + b x^{3}}}{x}\, dx"," ",0,"Integral(f**(a + b*x**3)/x, x)","F",0
103,0,0,0,0.000000," ","integrate(f**(b*x**3+a)/x**4,x)","\int \frac{f^{a + b x^{3}}}{x^{4}}\, dx"," ",0,"Integral(f**(a + b*x**3)/x**4, x)","F",0
104,0,0,0,0.000000," ","integrate(f**(b*x**3+a)/x**7,x)","\int \frac{f^{a + b x^{3}}}{x^{7}}\, dx"," ",0,"Integral(f**(a + b*x**3)/x**7, x)","F",0
105,0,0,0,0.000000," ","integrate(f**(b*x**3+a)/x**10,x)","\int \frac{f^{a + b x^{3}}}{x^{10}}\, dx"," ",0,"Integral(f**(a + b*x**3)/x**10, x)","F",0
106,0,0,0,0.000000," ","integrate(f**(b*x**3+a)/x**13,x)","\int \frac{f^{a + b x^{3}}}{x^{13}}\, dx"," ",0,"Integral(f**(a + b*x**3)/x**13, x)","F",0
107,0,0,0,0.000000," ","integrate(f**(b*x**3+a)/x**16,x)","\int \frac{f^{a + b x^{3}}}{x^{16}}\, dx"," ",0,"Integral(f**(a + b*x**3)/x**16, x)","F",0
108,0,0,0,0.000000," ","integrate(f**(b*x**3+a)*x**4,x)","\int f^{a + b x^{3}} x^{4}\, dx"," ",0,"Integral(f**(a + b*x**3)*x**4, x)","F",0
109,0,0,0,0.000000," ","integrate(f**(b*x**3+a)*x**3,x)","\int f^{a + b x^{3}} x^{3}\, dx"," ",0,"Integral(f**(a + b*x**3)*x**3, x)","F",0
110,0,0,0,0.000000," ","integrate(f**(b*x**3+a)*x,x)","\int f^{a + b x^{3}} x\, dx"," ",0,"Integral(f**(a + b*x**3)*x, x)","F",0
111,0,0,0,0.000000," ","integrate(f**(b*x**3+a),x)","\int f^{a + b x^{3}}\, dx"," ",0,"Integral(f**(a + b*x**3), x)","F",0
112,0,0,0,0.000000," ","integrate(f**(b*x**3+a)/x**2,x)","\int \frac{f^{a + b x^{3}}}{x^{2}}\, dx"," ",0,"Integral(f**(a + b*x**3)/x**2, x)","F",0
113,0,0,0,0.000000," ","integrate(f**(b*x**3+a)/x**3,x)","\int \frac{f^{a + b x^{3}}}{x^{3}}\, dx"," ",0,"Integral(f**(a + b*x**3)/x**3, x)","F",0
114,1,7,0,0.089954," ","integrate(exp(4*x**3)*x**2,x)","\frac{e^{4 x^{3}}}{12}"," ",0,"exp(4*x**3)/12","A",0
115,0,0,0,0.000000," ","integrate(f**(a+b/x)*x**m,x)","\int f^{a + \frac{b}{x}} x^{m}\, dx"," ",0,"Integral(f**(a + b/x)*x**m, x)","F",0
116,0,0,0,0.000000," ","integrate(f**(a+b/x)*x**4,x)","\int f^{a + \frac{b}{x}} x^{4}\, dx"," ",0,"Integral(f**(a + b/x)*x**4, x)","F",0
117,0,0,0,0.000000," ","integrate(f**(a+b/x)*x**3,x)","\int f^{a + \frac{b}{x}} x^{3}\, dx"," ",0,"Integral(f**(a + b/x)*x**3, x)","F",0
118,0,0,0,0.000000," ","integrate(f**(a+b/x)*x**2,x)","\int f^{a + \frac{b}{x}} x^{2}\, dx"," ",0,"Integral(f**(a + b/x)*x**2, x)","F",0
119,0,0,0,0.000000," ","integrate(f**(a+b/x)*x,x)","\int f^{a + \frac{b}{x}} x\, dx"," ",0,"Integral(f**(a + b/x)*x, x)","F",0
120,0,0,0,0.000000," ","integrate(f**(a+b/x),x)","\int f^{a + \frac{b}{x}}\, dx"," ",0,"Integral(f**(a + b/x), x)","F",0
121,0,0,0,0.000000," ","integrate(f**(a+b/x)/x,x)","\int \frac{f^{a + \frac{b}{x}}}{x}\, dx"," ",0,"Integral(f**(a + b/x)/x, x)","F",0
122,1,20,0,0.116261," ","integrate(f**(a+b/x)/x**2,x)","\begin{cases} - \frac{f^{a + \frac{b}{x}}}{b \log{\left(f \right)}} & \text{for}\: b \log{\left(f \right)} \neq 0 \\- \frac{1}{x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-f**(a + b/x)/(b*log(f)), Ne(b*log(f), 0)), (-1/x, True))","A",0
123,1,22,0,0.124631," ","integrate(f**(a+b/x)/x**3,x)","\frac{f^{a + \frac{b}{x}} \left(- b \log{\left(f \right)} + x\right)}{b^{2} x \log{\left(f \right)}^{2}}"," ",0,"f**(a + b/x)*(-b*log(f) + x)/(b**2*x*log(f)**2)","A",0
124,1,39,0,0.136043," ","integrate(f**(a+b/x)/x**4,x)","\frac{f^{a + \frac{b}{x}} \left(- b^{2} \log{\left(f \right)}^{2} + 2 b x \log{\left(f \right)} - 2 x^{2}\right)}{b^{3} x^{2} \log{\left(f \right)}^{3}}"," ",0,"f**(a + b/x)*(-b**2*log(f)**2 + 2*b*x*log(f) - 2*x**2)/(b**3*x**2*log(f)**3)","A",0
125,1,53,0,0.145351," ","integrate(f**(a+b/x)/x**5,x)","\frac{f^{a + \frac{b}{x}} \left(- b^{3} \log{\left(f \right)}^{3} + 3 b^{2} x \log{\left(f \right)}^{2} - 6 b x^{2} \log{\left(f \right)} + 6 x^{3}\right)}{b^{4} x^{3} \log{\left(f \right)}^{4}}"," ",0,"f**(a + b/x)*(-b**3*log(f)**3 + 3*b**2*x*log(f)**2 - 6*b*x**2*log(f) + 6*x**3)/(b**4*x**3*log(f)**4)","A",0
126,1,66,0,0.156180," ","integrate(f**(a+b/x)/x**6,x)","\frac{f^{a + \frac{b}{x}} \left(- b^{4} \log{\left(f \right)}^{4} + 4 b^{3} x \log{\left(f \right)}^{3} - 12 b^{2} x^{2} \log{\left(f \right)}^{2} + 24 b x^{3} \log{\left(f \right)} - 24 x^{4}\right)}{b^{5} x^{4} \log{\left(f \right)}^{5}}"," ",0,"f**(a + b/x)*(-b**4*log(f)**4 + 4*b**3*x*log(f)**3 - 12*b**2*x**2*log(f)**2 + 24*b*x**3*log(f) - 24*x**4)/(b**5*x**4*log(f)**5)","A",0
127,1,80,0,0.168541," ","integrate(f**(a+b/x)/x**7,x)","\frac{f^{a + \frac{b}{x}} \left(- b^{5} \log{\left(f \right)}^{5} + 5 b^{4} x \log{\left(f \right)}^{4} - 20 b^{3} x^{2} \log{\left(f \right)}^{3} + 60 b^{2} x^{3} \log{\left(f \right)}^{2} - 120 b x^{4} \log{\left(f \right)} + 120 x^{5}\right)}{b^{6} x^{5} \log{\left(f \right)}^{6}}"," ",0,"f**(a + b/x)*(-b**5*log(f)**5 + 5*b**4*x*log(f)**4 - 20*b**3*x**2*log(f)**3 + 60*b**2*x**3*log(f)**2 - 120*b*x**4*log(f) + 120*x**5)/(b**6*x**5*log(f)**6)","A",0
128,0,0,0,0.000000," ","integrate(f**(a+b/x**2)*x**m,x)","\int f^{a + \frac{b}{x^{2}}} x^{m}\, dx"," ",0,"Integral(f**(a + b/x**2)*x**m, x)","F",0
129,0,0,0,0.000000," ","integrate(f**(a+b/x**2)*x**9,x)","\int f^{a + \frac{b}{x^{2}}} x^{9}\, dx"," ",0,"Integral(f**(a + b/x**2)*x**9, x)","F",0
130,0,0,0,0.000000," ","integrate(f**(a+b/x**2)*x**7,x)","\int f^{a + \frac{b}{x^{2}}} x^{7}\, dx"," ",0,"Integral(f**(a + b/x**2)*x**7, x)","F",0
131,0,0,0,0.000000," ","integrate(f**(a+b/x**2)*x**5,x)","\int f^{a + \frac{b}{x^{2}}} x^{5}\, dx"," ",0,"Integral(f**(a + b/x**2)*x**5, x)","F",0
132,0,0,0,0.000000," ","integrate(f**(a+b/x**2)*x**3,x)","\int f^{a + \frac{b}{x^{2}}} x^{3}\, dx"," ",0,"Integral(f**(a + b/x**2)*x**3, x)","F",0
133,0,0,0,0.000000," ","integrate(f**(a+b/x**2)*x,x)","\int f^{a + \frac{b}{x^{2}}} x\, dx"," ",0,"Integral(f**(a + b/x**2)*x, x)","F",0
134,0,0,0,0.000000," ","integrate(f**(a+b/x**2)/x,x)","\int \frac{f^{a + \frac{b}{x^{2}}}}{x}\, dx"," ",0,"Integral(f**(a + b/x**2)/x, x)","F",0
135,1,29,0,0.118402," ","integrate(f**(a+b/x**2)/x**3,x)","\begin{cases} - \frac{f^{a + \frac{b}{x^{2}}}}{2 b \log{\left(f \right)}} & \text{for}\: 2 b \log{\left(f \right)} \neq 0 \\- \frac{1}{2 x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-f**(a + b/x**2)/(2*b*log(f)), Ne(2*b*log(f), 0)), (-1/(2*x**2), True))","A",0
136,1,29,0,0.133115," ","integrate(f**(a+b/x**2)/x**5,x)","\frac{f^{a + \frac{b}{x^{2}}} \left(- b \log{\left(f \right)} + x^{2}\right)}{2 b^{2} x^{2} \log{\left(f \right)}^{2}}"," ",0,"f**(a + b/x**2)*(-b*log(f) + x**2)/(2*b**2*x**2*log(f)**2)","A",0
137,1,44,0,0.145066," ","integrate(f**(a+b/x**2)/x**7,x)","\frac{f^{a + \frac{b}{x^{2}}} \left(- b^{2} \log{\left(f \right)}^{2} + 2 b x^{2} \log{\left(f \right)} - 2 x^{4}\right)}{2 b^{3} x^{4} \log{\left(f \right)}^{3}}"," ",0,"f**(a + b/x**2)*(-b**2*log(f)**2 + 2*b*x**2*log(f) - 2*x**4)/(2*b**3*x**4*log(f)**3)","A",0
138,1,58,0,0.151406," ","integrate(f**(a+b/x**2)/x**9,x)","\frac{f^{a + \frac{b}{x^{2}}} \left(- b^{3} \log{\left(f \right)}^{3} + 3 b^{2} x^{2} \log{\left(f \right)}^{2} - 6 b x^{4} \log{\left(f \right)} + 6 x^{6}\right)}{2 b^{4} x^{6} \log{\left(f \right)}^{4}}"," ",0,"f**(a + b/x**2)*(-b**3*log(f)**3 + 3*b**2*x**2*log(f)**2 - 6*b*x**4*log(f) + 6*x**6)/(2*b**4*x**6*log(f)**4)","A",0
139,1,71,0,0.161865," ","integrate(f**(a+b/x**2)/x**11,x)","\frac{f^{a + \frac{b}{x^{2}}} \left(- b^{4} \log{\left(f \right)}^{4} + 4 b^{3} x^{2} \log{\left(f \right)}^{3} - 12 b^{2} x^{4} \log{\left(f \right)}^{2} + 24 b x^{6} \log{\left(f \right)} - 24 x^{8}\right)}{2 b^{5} x^{8} \log{\left(f \right)}^{5}}"," ",0,"f**(a + b/x**2)*(-b**4*log(f)**4 + 4*b**3*x**2*log(f)**3 - 12*b**2*x**4*log(f)**2 + 24*b*x**6*log(f) - 24*x**8)/(2*b**5*x**8*log(f)**5)","A",0
140,1,85,0,0.184083," ","integrate(f**(a+b/x**2)/x**13,x)","\frac{f^{a + \frac{b}{x^{2}}} \left(- b^{5} \log{\left(f \right)}^{5} + 5 b^{4} x^{2} \log{\left(f \right)}^{4} - 20 b^{3} x^{4} \log{\left(f \right)}^{3} + 60 b^{2} x^{6} \log{\left(f \right)}^{2} - 120 b x^{8} \log{\left(f \right)} + 120 x^{10}\right)}{2 b^{6} x^{10} \log{\left(f \right)}^{6}}"," ",0,"f**(a + b/x**2)*(-b**5*log(f)**5 + 5*b**4*x**2*log(f)**4 - 20*b**3*x**4*log(f)**3 + 60*b**2*x**6*log(f)**2 - 120*b*x**8*log(f) + 120*x**10)/(2*b**6*x**10*log(f)**6)","A",0
141,0,0,0,0.000000," ","integrate(f**(a+b/x**2)*x**10,x)","\int f^{a + \frac{b}{x^{2}}} x^{10}\, dx"," ",0,"Integral(f**(a + b/x**2)*x**10, x)","F",0
142,0,0,0,0.000000," ","integrate(f**(a+b/x**2)*x**8,x)","\int f^{a + \frac{b}{x^{2}}} x^{8}\, dx"," ",0,"Integral(f**(a + b/x**2)*x**8, x)","F",0
143,0,0,0,0.000000," ","integrate(f**(a+b/x**2)*x**6,x)","\int f^{a + \frac{b}{x^{2}}} x^{6}\, dx"," ",0,"Integral(f**(a + b/x**2)*x**6, x)","F",0
144,0,0,0,0.000000," ","integrate(f**(a+b/x**2)*x**4,x)","\int f^{a + \frac{b}{x^{2}}} x^{4}\, dx"," ",0,"Integral(f**(a + b/x**2)*x**4, x)","F",0
145,0,0,0,0.000000," ","integrate(f**(a+b/x**2)*x**2,x)","\int f^{a + \frac{b}{x^{2}}} x^{2}\, dx"," ",0,"Integral(f**(a + b/x**2)*x**2, x)","F",0
146,0,0,0,0.000000," ","integrate(f**(a+b/x**2),x)","\int f^{a + \frac{b}{x^{2}}}\, dx"," ",0,"Integral(f**(a + b/x**2), x)","F",0
147,0,0,0,0.000000," ","integrate(f**(a+b/x**2)/x**2,x)","\int \frac{f^{a + \frac{b}{x^{2}}}}{x^{2}}\, dx"," ",0,"Integral(f**(a + b/x**2)/x**2, x)","F",0
148,-1,0,0,0.000000," ","integrate(f**(a+b/x**2)/x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
149,-1,0,0,0.000000," ","integrate(f**(a+b/x**2)/x**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
150,-1,0,0,0.000000," ","integrate(f**(a+b/x**2)/x**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
151,-1,0,0,0.000000," ","integrate(f**(a+b/x**2)/x**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
152,-1,0,0,0.000000," ","integrate(f**(a+b/x**2)/x**12,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
153,-1,0,0,0.000000," ","integrate(f**(a+b/x**2)/x**14,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
154,0,0,0,0.000000," ","integrate(f**(a+b/x**3)*x**m,x)","\int f^{a + \frac{b}{x^{3}}} x^{m}\, dx"," ",0,"Integral(f**(a + b/x**3)*x**m, x)","F",0
155,-1,0,0,0.000000," ","integrate(f**(a+b/x**3)*x**14,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
156,0,0,0,0.000000," ","integrate(f**(a+b/x**3)*x**11,x)","\int f^{a + \frac{b}{x^{3}}} x^{11}\, dx"," ",0,"Integral(f**(a + b/x**3)*x**11, x)","F",0
157,0,0,0,0.000000," ","integrate(f**(a+b/x**3)*x**8,x)","\int f^{a + \frac{b}{x^{3}}} x^{8}\, dx"," ",0,"Integral(f**(a + b/x**3)*x**8, x)","F",0
158,0,0,0,0.000000," ","integrate(f**(a+b/x**3)*x**5,x)","\int f^{a + \frac{b}{x^{3}}} x^{5}\, dx"," ",0,"Integral(f**(a + b/x**3)*x**5, x)","F",0
159,0,0,0,0.000000," ","integrate(f**(a+b/x**3)*x**2,x)","\int f^{a + \frac{b}{x^{3}}} x^{2}\, dx"," ",0,"Integral(f**(a + b/x**3)*x**2, x)","F",0
160,0,0,0,0.000000," ","integrate(f**(a+b/x**3)/x,x)","\int \frac{f^{a + \frac{b}{x^{3}}}}{x}\, dx"," ",0,"Integral(f**(a + b/x**3)/x, x)","F",0
161,1,29,0,0.118107," ","integrate(f**(a+b/x**3)/x**4,x)","\begin{cases} - \frac{f^{a + \frac{b}{x^{3}}}}{3 b \log{\left(f \right)}} & \text{for}\: 3 b \log{\left(f \right)} \neq 0 \\- \frac{1}{3 x^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-f**(a + b/x**3)/(3*b*log(f)), Ne(3*b*log(f), 0)), (-1/(3*x**3), True))","A",0
162,1,29,0,0.130610," ","integrate(f**(a+b/x**3)/x**7,x)","\frac{f^{a + \frac{b}{x^{3}}} \left(- b \log{\left(f \right)} + x^{3}\right)}{3 b^{2} x^{3} \log{\left(f \right)}^{2}}"," ",0,"f**(a + b/x**3)*(-b*log(f) + x**3)/(3*b**2*x**3*log(f)**2)","A",0
163,1,44,0,0.143402," ","integrate(f**(a+b/x**3)/x**10,x)","\frac{f^{a + \frac{b}{x^{3}}} \left(- b^{2} \log{\left(f \right)}^{2} + 2 b x^{3} \log{\left(f \right)} - 2 x^{6}\right)}{3 b^{3} x^{6} \log{\left(f \right)}^{3}}"," ",0,"f**(a + b/x**3)*(-b**2*log(f)**2 + 2*b*x**3*log(f) - 2*x**6)/(3*b**3*x**6*log(f)**3)","A",0
164,1,58,0,0.158131," ","integrate(f**(a+b/x**3)/x**13,x)","\frac{f^{a + \frac{b}{x^{3}}} \left(- b^{3} \log{\left(f \right)}^{3} + 3 b^{2} x^{3} \log{\left(f \right)}^{2} - 6 b x^{6} \log{\left(f \right)} + 6 x^{9}\right)}{3 b^{4} x^{9} \log{\left(f \right)}^{4}}"," ",0,"f**(a + b/x**3)*(-b**3*log(f)**3 + 3*b**2*x**3*log(f)**2 - 6*b*x**6*log(f) + 6*x**9)/(3*b**4*x**9*log(f)**4)","A",0
165,1,71,0,0.167585," ","integrate(f**(a+b/x**3)/x**16,x)","\frac{f^{a + \frac{b}{x^{3}}} \left(- b^{4} \log{\left(f \right)}^{4} + 4 b^{3} x^{3} \log{\left(f \right)}^{3} - 12 b^{2} x^{6} \log{\left(f \right)}^{2} + 24 b x^{9} \log{\left(f \right)} - 24 x^{12}\right)}{3 b^{5} x^{12} \log{\left(f \right)}^{5}}"," ",0,"f**(a + b/x**3)*(-b**4*log(f)**4 + 4*b**3*x**3*log(f)**3 - 12*b**2*x**6*log(f)**2 + 24*b*x**9*log(f) - 24*x**12)/(3*b**5*x**12*log(f)**5)","A",0
166,1,85,0,0.179739," ","integrate(f**(a+b/x**3)/x**19,x)","\frac{f^{a + \frac{b}{x^{3}}} \left(- b^{5} \log{\left(f \right)}^{5} + 5 b^{4} x^{3} \log{\left(f \right)}^{4} - 20 b^{3} x^{6} \log{\left(f \right)}^{3} + 60 b^{2} x^{9} \log{\left(f \right)}^{2} - 120 b x^{12} \log{\left(f \right)} + 120 x^{15}\right)}{3 b^{6} x^{15} \log{\left(f \right)}^{6}}"," ",0,"f**(a + b/x**3)*(-b**5*log(f)**5 + 5*b**4*x**3*log(f)**4 - 20*b**3*x**6*log(f)**3 + 60*b**2*x**9*log(f)**2 - 120*b*x**12*log(f) + 120*x**15)/(3*b**6*x**15*log(f)**6)","A",0
167,0,0,0,0.000000," ","integrate(f**(a+b/x**3)*x**4,x)","\int f^{a + \frac{b}{x^{3}}} x^{4}\, dx"," ",0,"Integral(f**(a + b/x**3)*x**4, x)","F",0
168,0,0,0,0.000000," ","integrate(f**(a+b/x**3)*x**3,x)","\int f^{a + \frac{b}{x^{3}}} x^{3}\, dx"," ",0,"Integral(f**(a + b/x**3)*x**3, x)","F",0
169,0,0,0,0.000000," ","integrate(f**(a+b/x**3)*x,x)","\int f^{a + \frac{b}{x^{3}}} x\, dx"," ",0,"Integral(f**(a + b/x**3)*x, x)","F",0
170,0,0,0,0.000000," ","integrate(f**(a+b/x**3),x)","\int f^{a + \frac{b}{x^{3}}}\, dx"," ",0,"Integral(f**(a + b/x**3), x)","F",0
171,0,0,0,0.000000," ","integrate(f**(a+b/x**3)/x**2,x)","\int \frac{f^{a + \frac{b}{x^{3}}}}{x^{2}}\, dx"," ",0,"Integral(f**(a + b/x**3)/x**2, x)","F",0
172,0,0,0,0.000000," ","integrate(f**(a+b/x**3)/x**3,x)","\int \frac{f^{a + \frac{b}{x^{3}}}}{x^{3}}\, dx"," ",0,"Integral(f**(a + b/x**3)/x**3, x)","F",0
173,-1,0,0,0.000000," ","integrate(f**(a+b/x**3)/x**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
174,-1,0,0,0.000000," ","integrate(f**(a+b*x**n)*x**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
175,0,0,0,0.000000," ","integrate(f**(a+b*x**n)*x**3,x)","\begin{cases} - \frac{b f^{a} f^{b x^{n}} n x^{4} x^{n} \log{\left(f \right)}}{4 n + 16} + \frac{f^{a} f^{b x^{n}} n x^{4}}{4 n + 16} + \frac{4 f^{a} f^{b x^{n}} x^{4}}{4 n + 16} & \text{for}\: n \neq -4 \\\int f^{a + \frac{b}{x^{4}}} x^{3}\, dx & \text{otherwise} \end{cases}"," ",0,"Piecewise((-b*f**a*f**(b*x**n)*n*x**4*x**n*log(f)/(4*n + 16) + f**a*f**(b*x**n)*n*x**4/(4*n + 16) + 4*f**a*f**(b*x**n)*x**4/(4*n + 16), Ne(n, -4)), (Integral(f**(a + b/x**4)*x**3, x), True))","F",0
176,0,0,0,0.000000," ","integrate(f**(a+b*x**n)*x**2,x)","\begin{cases} - \frac{b f^{a} f^{b x^{n}} n x^{3} x^{n} \log{\left(f \right)}}{3 n + 9} + \frac{f^{a} f^{b x^{n}} n x^{3}}{3 n + 9} + \frac{3 f^{a} f^{b x^{n}} x^{3}}{3 n + 9} & \text{for}\: n \neq -3 \\\int f^{a + \frac{b}{x^{3}}} x^{2}\, dx & \text{otherwise} \end{cases}"," ",0,"Piecewise((-b*f**a*f**(b*x**n)*n*x**3*x**n*log(f)/(3*n + 9) + f**a*f**(b*x**n)*n*x**3/(3*n + 9) + 3*f**a*f**(b*x**n)*x**3/(3*n + 9), Ne(n, -3)), (Integral(f**(a + b/x**3)*x**2, x), True))","F",0
177,0,0,0,0.000000," ","integrate(f**(a+b*x**n)*x,x)","\begin{cases} - \frac{b f^{a} f^{b x^{n}} n x^{2} x^{n} \log{\left(f \right)}}{2 n + 4} + \frac{f^{a} f^{b x^{n}} n x^{2}}{2 n + 4} + \frac{2 f^{a} f^{b x^{n}} x^{2}}{2 n + 4} & \text{for}\: n \neq -2 \\\int f^{a + \frac{b}{x^{2}}} x\, dx & \text{otherwise} \end{cases}"," ",0,"Piecewise((-b*f**a*f**(b*x**n)*n*x**2*x**n*log(f)/(2*n + 4) + f**a*f**(b*x**n)*n*x**2/(2*n + 4) + 2*f**a*f**(b*x**n)*x**2/(2*n + 4), Ne(n, -2)), (Integral(f**(a + b/x**2)*x, x), True))","F",0
178,0,0,0,0.000000," ","integrate(f**(a+b*x**n),x)","\begin{cases} - \frac{b f^{a} f^{b x^{n}} n x x^{n} \log{\left(f \right)}}{n + 1} + \frac{f^{a} f^{b x^{n}} n x}{n + 1} + \frac{f^{a} f^{b x^{n}} x}{n + 1} & \text{for}\: n \neq -1 \\\int f^{a + \frac{b}{x}}\, dx & \text{otherwise} \end{cases}"," ",0,"Piecewise((-b*f**a*f**(b*x**n)*n*x*x**n*log(f)/(n + 1) + f**a*f**(b*x**n)*n*x/(n + 1) + f**a*f**(b*x**n)*x/(n + 1), Ne(n, -1)), (Integral(f**(a + b/x), x), True))","F",0
179,0,0,0,0.000000," ","integrate(f**(a+b*x**n)/x,x)","\int \frac{f^{a + b x^{n}}}{x}\, dx"," ",0,"Integral(f**(a + b*x**n)/x, x)","F",0
180,0,0,0,0.000000," ","integrate(f**(a+b*x**n)/x**2,x)","\begin{cases} \frac{b f^{a} f^{b x^{n}} n x^{n} \log{\left(f \right)}}{n x - x} - \frac{f^{a} f^{b x^{n}} n}{n x - x} + \frac{f^{a} f^{b x^{n}}}{n x - x} & \text{for}\: n \neq 1 \\\int \frac{f^{a + b x}}{x^{2}}\, dx & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*f**a*f**(b*x**n)*n*x**n*log(f)/(n*x - x) - f**a*f**(b*x**n)*n/(n*x - x) + f**a*f**(b*x**n)/(n*x - x), Ne(n, 1)), (Integral(f**(a + b*x)/x**2, x), True))","F",0
181,0,0,0,0.000000," ","integrate(f**(a+b*x**n)/x**3,x)","\begin{cases} \frac{b f^{a} f^{b x^{n}} n x^{n} \log{\left(f \right)}}{2 n x^{2} - 4 x^{2}} - \frac{f^{a} f^{b x^{n}} n}{2 n x^{2} - 4 x^{2}} + \frac{2 f^{a} f^{b x^{n}}}{2 n x^{2} - 4 x^{2}} & \text{for}\: n \neq 2 \\\int \frac{f^{a + b x^{2}}}{x^{3}}\, dx & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*f**a*f**(b*x**n)*n*x**n*log(f)/(2*n*x**2 - 4*x**2) - f**a*f**(b*x**n)*n/(2*n*x**2 - 4*x**2) + 2*f**a*f**(b*x**n)/(2*n*x**2 - 4*x**2), Ne(n, 2)), (Integral(f**(a + b*x**2)/x**3, x), True))","F",0
182,0,0,0,0.000000," ","integrate(f**(a+b*x**n)/x**4,x)","\begin{cases} \frac{b f^{a} f^{b x^{n}} n x^{n} \log{\left(f \right)}}{3 n x^{3} - 9 x^{3}} - \frac{f^{a} f^{b x^{n}} n}{3 n x^{3} - 9 x^{3}} + \frac{3 f^{a} f^{b x^{n}}}{3 n x^{3} - 9 x^{3}} & \text{for}\: n \neq 3 \\\int \frac{f^{a + b x^{3}}}{x^{4}}\, dx & \text{otherwise} \end{cases}"," ",0,"Piecewise((b*f**a*f**(b*x**n)*n*x**n*log(f)/(3*n*x**3 - 9*x**3) - f**a*f**(b*x**n)*n/(3*n*x**3 - 9*x**3) + 3*f**a*f**(b*x**n)/(3*n*x**3 - 9*x**3), Ne(n, 3)), (Integral(f**(a + b*x**3)/x**4, x), True))","F",0
183,-1,0,0,0.000000," ","integrate(f**(a+b*x**n)*x**(-1+3*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
184,-1,0,0,0.000000," ","integrate(f**(a+b*x**n)*x**(-1+2*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
185,1,39,0,67.276848," ","integrate(f**(a+b*x**n)*x**(-1+n),x)","\begin{cases} \log{\left(x \right)} & \text{for}\: b = 0 \wedge f = 1 \wedge n = 0 \\f^{a + b} \log{\left(x \right)} & \text{for}\: n = 0 \\\frac{f^{a} x^{n}}{n} & \text{for}\: b = 0 \\\frac{x^{n}}{n} & \text{for}\: f = 1 \\\frac{f^{a} f^{b x^{n}}}{b n \log{\left(f \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x), Eq(b, 0) & Eq(f, 1) & Eq(n, 0)), (f**(a + b)*log(x), Eq(n, 0)), (f**a*x**n/n, Eq(b, 0)), (x**n/n, Eq(f, 1)), (f**a*f**(b*x**n)/(b*n*log(f)), True))","A",0
186,0,0,0,0.000000," ","integrate(f**(a+b*x**n)/x,x)","\int \frac{f^{a + b x^{n}}}{x}\, dx"," ",0,"Integral(f**(a + b*x**n)/x, x)","F",0
187,-1,0,0,0.000000," ","integrate(f**(a+b*x**n)*x**(-1-n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
188,-1,0,0,0.000000," ","integrate(f**(a+b*x**n)*x**(-1-2*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
189,-1,0,0,0.000000," ","integrate(f**(a+b*x**n)*x**(-1+5/2*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
190,-1,0,0,0.000000," ","integrate(f**(a+b*x**n)*x**(-1+3/2*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
191,-1,0,0,0.000000," ","integrate(f**(a+b*x**n)*x**(-1+1/2*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
192,-1,0,0,0.000000," ","integrate(f**(a+b*x**n)*x**(-1-1/2*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
193,-1,0,0,0.000000," ","integrate(f**(a+b*x**n)*x**(-1-3/2*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
194,1,10,0,0.090152," ","integrate(exp(-.1*x)*x,x)","1.0 \left(- 10.0 x - 100.0\right) e^{- 0.1 x}"," ",0,"1.0*(-10.0*x - 100.0)*exp(-0.1*x)","A",0
195,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**2)*x**3,x)","\int f^{c \left(a + b x\right)^{2}} x^{3}\, dx"," ",0,"Integral(f**(c*(a + b*x)**2)*x**3, x)","F",0
196,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**2)*x**2,x)","\int f^{c \left(a + b x\right)^{2}} x^{2}\, dx"," ",0,"Integral(f**(c*(a + b*x)**2)*x**2, x)","F",0
197,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**2)*x,x)","\int f^{c \left(a + b x\right)^{2}} x\, dx"," ",0,"Integral(f**(c*(a + b*x)**2)*x, x)","F",0
198,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**2),x)","\int f^{c \left(a + b x\right)^{2}}\, dx"," ",0,"Integral(f**(c*(a + b*x)**2), x)","F",0
199,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**2)/x,x)","\int \frac{f^{c \left(a + b x\right)^{2}}}{x}\, dx"," ",0,"Integral(f**(c*(a + b*x)**2)/x, x)","F",0
200,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**2)/x**2,x)","\int \frac{f^{c \left(a + b x\right)^{2}}}{x^{2}}\, dx"," ",0,"Integral(f**(c*(a + b*x)**2)/x**2, x)","F",0
201,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**2)/x**3,x)","\int \frac{f^{c \left(a + b x\right)^{2}}}{x^{3}}\, dx"," ",0,"Integral(f**(c*(a + b*x)**2)/x**3, x)","F",0
202,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**3)*x**2,x)","\int f^{c \left(a + b x\right)^{3}} x^{2}\, dx"," ",0,"Integral(f**(c*(a + b*x)**3)*x**2, x)","F",0
203,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**3)*x,x)","\int f^{c \left(a + b x\right)^{3}} x\, dx"," ",0,"Integral(f**(c*(a + b*x)**3)*x, x)","F",0
204,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**3),x)","\int f^{c \left(a + b x\right)^{3}}\, dx"," ",0,"Integral(f**(c*(a + b*x)**3), x)","F",0
205,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**3)/x,x)","\int \frac{f^{c \left(a + b x\right)^{3}}}{x}\, dx"," ",0,"Integral(f**(c*(a + b*x)**3)/x, x)","F",0
206,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**3)/x**2,x)","\int \frac{f^{c \left(a + b x\right)^{3}}}{x^{2}}\, dx"," ",0,"Integral(f**(c*(a + b*x)**3)/x**2, x)","F",0
207,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**3)/x**3,x)","\int \frac{f^{c \left(a + b x\right)^{3}}}{x^{3}}\, dx"," ",0,"Integral(f**(c*(a + b*x)**3)/x**3, x)","F",0
208,-1,0,0,0.000000," ","integrate(exp(b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3)*x**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
209,-1,0,0,0.000000," ","integrate(exp(b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3)*x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
210,0,0,0,0.000000," ","integrate(exp(b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3)*x**2,x)","e^{a^{3}} \int x^{2} e^{b^{3} x^{3}} e^{3 a b^{2} x^{2}} e^{3 a^{2} b x}\, dx"," ",0,"exp(a**3)*Integral(x**2*exp(b**3*x**3)*exp(3*a*b**2*x**2)*exp(3*a**2*b*x), x)","F",0
211,0,0,0,0.000000," ","integrate(exp(b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3)*x,x)","e^{a^{3}} \int x e^{b^{3} x^{3}} e^{3 a b^{2} x^{2}} e^{3 a^{2} b x}\, dx"," ",0,"exp(a**3)*Integral(x*exp(b**3*x**3)*exp(3*a*b**2*x**2)*exp(3*a**2*b*x), x)","F",0
212,0,0,0,0.000000," ","integrate(exp(b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3),x)","e^{a^{3}} \int e^{b^{3} x^{3}} e^{3 a b^{2} x^{2}} e^{3 a^{2} b x}\, dx"," ",0,"exp(a**3)*Integral(exp(b**3*x**3)*exp(3*a*b**2*x**2)*exp(3*a**2*b*x), x)","F",0
213,0,0,0,0.000000," ","integrate(exp(b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3)/x,x)","e^{a^{3}} \int \frac{e^{b^{3} x^{3}} e^{3 a b^{2} x^{2}} e^{3 a^{2} b x}}{x}\, dx"," ",0,"exp(a**3)*Integral(exp(b**3*x**3)*exp(3*a*b**2*x**2)*exp(3*a**2*b*x)/x, x)","F",0
214,-1,0,0,0.000000," ","integrate(exp(b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3)*x**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
215,1,34,0,0.207949," ","integrate(exp((5+3*x)**(1/2)),x)","\frac{2 \sqrt{3 x + 5} e^{\sqrt{3 x + 5}}}{3} - \frac{2 e^{\sqrt{3 x + 5}}}{3}"," ",0,"2*sqrt(3*x + 5)*exp(sqrt(3*x + 5))/3 - 2*exp(sqrt(3*x + 5))/3","A",0
216,0,0,0,0.000000," ","integrate(f**(c/(b*x+a))*x**4,x)","\int f^{\frac{c}{a + b x}} x^{4}\, dx"," ",0,"Integral(f**(c/(a + b*x))*x**4, x)","F",0
217,0,0,0,0.000000," ","integrate(f**(c/(b*x+a))*x**3,x)","\int f^{\frac{c}{a + b x}} x^{3}\, dx"," ",0,"Integral(f**(c/(a + b*x))*x**3, x)","F",0
218,0,0,0,0.000000," ","integrate(f**(c/(b*x+a))*x**2,x)","\int f^{\frac{c}{a + b x}} x^{2}\, dx"," ",0,"Integral(f**(c/(a + b*x))*x**2, x)","F",0
219,0,0,0,0.000000," ","integrate(f**(c/(b*x+a))*x,x)","\int f^{\frac{c}{a + b x}} x\, dx"," ",0,"Integral(f**(c/(a + b*x))*x, x)","F",0
220,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)),x)","\int f^{\frac{c}{a + b x}}\, dx"," ",0,"Integral(f**(c/(a + b*x)), x)","F",0
221,0,0,0,0.000000," ","integrate(f**(c/(b*x+a))/x,x)","\int \frac{f^{\frac{c}{a + b x}}}{x}\, dx"," ",0,"Integral(f**(c/(a + b*x))/x, x)","F",0
222,0,0,0,0.000000," ","integrate(f**(c/(b*x+a))/x**2,x)","\int \frac{f^{\frac{c}{a + b x}}}{x^{2}}\, dx"," ",0,"Integral(f**(c/(a + b*x))/x**2, x)","F",0
223,0,0,0,0.000000," ","integrate(f**(c/(b*x+a))/x**3,x)","\int \frac{f^{\frac{c}{a + b x}}}{x^{3}}\, dx"," ",0,"Integral(f**(c/(a + b*x))/x**3, x)","F",0
224,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**2)*x**4,x)","\int f^{\frac{c}{\left(a + b x\right)^{2}}} x^{4}\, dx"," ",0,"Integral(f**(c/(a + b*x)**2)*x**4, x)","F",0
225,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**2)*x**3,x)","\int f^{\frac{c}{\left(a + b x\right)^{2}}} x^{3}\, dx"," ",0,"Integral(f**(c/(a + b*x)**2)*x**3, x)","F",0
226,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**2)*x**2,x)","\int f^{\frac{c}{\left(a + b x\right)^{2}}} x^{2}\, dx"," ",0,"Integral(f**(c/(a + b*x)**2)*x**2, x)","F",0
227,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**2)*x,x)","\int f^{\frac{c}{\left(a + b x\right)^{2}}} x\, dx"," ",0,"Integral(f**(c/(a + b*x)**2)*x, x)","F",0
228,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**2),x)","\int f^{\frac{c}{\left(a + b x\right)^{2}}}\, dx"," ",0,"Integral(f**(c/(a + b*x)**2), x)","F",0
229,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**2)/x,x)","\int \frac{f^{\frac{c}{\left(a + b x\right)^{2}}}}{x}\, dx"," ",0,"Integral(f**(c/(a + b*x)**2)/x, x)","F",0
230,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**2)/x**2,x)","\int \frac{f^{\frac{c}{\left(a + b x\right)^{2}}}}{x^{2}}\, dx"," ",0,"Integral(f**(c/(a + b*x)**2)/x**2, x)","F",0
231,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**2)/x**3,x)","\int \frac{f^{\frac{c}{\left(a + b x\right)^{2}}}}{x^{3}}\, dx"," ",0,"Integral(f**(c/(a + b*x)**2)/x**3, x)","F",0
232,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**3)*x**4,x)","\int f^{\frac{c}{\left(a + b x\right)^{3}}} x^{4}\, dx"," ",0,"Integral(f**(c/(a + b*x)**3)*x**4, x)","F",0
233,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**3)*x**3,x)","\int f^{\frac{c}{\left(a + b x\right)^{3}}} x^{3}\, dx"," ",0,"Integral(f**(c/(a + b*x)**3)*x**3, x)","F",0
234,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**3)*x**2,x)","\int f^{\frac{c}{\left(a + b x\right)^{3}}} x^{2}\, dx"," ",0,"Integral(f**(c/(a + b*x)**3)*x**2, x)","F",0
235,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**3)*x,x)","\int f^{\frac{c}{\left(a + b x\right)^{3}}} x\, dx"," ",0,"Integral(f**(c/(a + b*x)**3)*x, x)","F",0
236,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**3),x)","\int f^{\frac{c}{\left(a + b x\right)^{3}}}\, dx"," ",0,"Integral(f**(c/(a + b*x)**3), x)","F",0
237,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**3)/x,x)","\int \frac{f^{\frac{c}{\left(a + b x\right)^{3}}}}{x}\, dx"," ",0,"Integral(f**(c/(a + b*x)**3)/x, x)","F",0
238,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**3)/x**2,x)","\int \frac{f^{\frac{c}{\left(a + b x\right)^{3}}}}{x^{2}}\, dx"," ",0,"Integral(f**(c/(a + b*x)**3)/x**2, x)","F",0
239,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**3)/x**3,x)","\int \frac{f^{\frac{c}{\left(a + b x\right)^{3}}}}{x^{3}}\, dx"," ",0,"Integral(f**(c/(a + b*x)**3)/x**3, x)","F",0
240,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**3)*x**m,x)","\int f^{c \left(a + b x\right)^{3}} x^{m}\, dx"," ",0,"Integral(f**(c*(a + b*x)**3)*x**m, x)","F",0
241,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**2)*x**m,x)","\int f^{c \left(a + b x\right)^{2}} x^{m}\, dx"," ",0,"Integral(f**(c*(a + b*x)**2)*x**m, x)","F",0
242,0,0,0,0.000000," ","integrate(f**(c*(b*x+a))*x**m,x)","\int f^{c \left(a + b x\right)} x^{m}\, dx"," ",0,"Integral(f**(c*(a + b*x))*x**m, x)","F",0
243,0,0,0,0.000000," ","integrate(f**(c/(b*x+a))*x**m,x)","\int f^{\frac{c}{a + b x}} x^{m}\, dx"," ",0,"Integral(f**(c/(a + b*x))*x**m, x)","F",0
244,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**2)*x**m,x)","\int f^{\frac{c}{\left(a + b x\right)^{2}}} x^{m}\, dx"," ",0,"Integral(f**(c/(a + b*x)**2)*x**m, x)","F",0
245,0,0,0,0.000000," ","integrate(f**(c/(b*x+a)**3)*x**m,x)","\int f^{\frac{c}{\left(a + b x\right)^{3}}} x^{m}\, dx"," ",0,"Integral(f**(c/(a + b*x)**3)*x**m, x)","F",0
246,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**n)*x**m,x)","\int f^{c \left(a + b x\right)^{n}} x^{m}\, dx"," ",0,"Integral(f**(c*(a + b*x)**n)*x**m, x)","F",0
247,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**n)*x**3,x)","\int f^{c \left(a + b x\right)^{n}} x^{3}\, dx"," ",0,"Integral(f**(c*(a + b*x)**n)*x**3, x)","F",0
248,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**n)*x**2,x)","\int f^{c \left(a + b x\right)^{n}} x^{2}\, dx"," ",0,"Integral(f**(c*(a + b*x)**n)*x**2, x)","F",0
249,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**n)*x,x)","\int f^{c \left(a + b x\right)^{n}} x\, dx"," ",0,"Integral(f**(c*(a + b*x)**n)*x, x)","F",0
250,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**n),x)","\int f^{c \left(a + b x\right)^{n}}\, dx"," ",0,"Integral(f**(c*(a + b*x)**n), x)","F",0
251,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**n)/x,x)","\int \frac{f^{c \left(a + b x\right)^{n}}}{x}\, dx"," ",0,"Integral(f**(c*(a + b*x)**n)/x, x)","F",0
252,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**n)/x**2,x)","\int \frac{f^{c \left(a + b x\right)^{n}}}{x^{2}}\, dx"," ",0,"Integral(f**(c*(a + b*x)**n)/x**2, x)","F",0
253,0,0,0,0.000000," ","integrate(f**(c*(b*x+a)**n)/x**3,x)","\int \frac{f^{c \left(a + b x\right)^{n}}}{x^{3}}\, dx"," ",0,"Integral(f**(c*(a + b*x)**n)/x**3, x)","F",0
254,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)*(d*x+c)**m,x)","\int F^{a + b \left(c + d x\right)^{2}} \left(c + d x\right)^{m}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)*(c + d*x)**m, x)","F",0
255,1,796,0,0.551982," ","integrate(F**(a+b*(d*x+c)**2)*(d*x+c)**11,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)^{2}} \left(b^{5} c^{10} \log{\left(F \right)}^{5} + 10 b^{5} c^{9} d x \log{\left(F \right)}^{5} + 45 b^{5} c^{8} d^{2} x^{2} \log{\left(F \right)}^{5} + 120 b^{5} c^{7} d^{3} x^{3} \log{\left(F \right)}^{5} + 210 b^{5} c^{6} d^{4} x^{4} \log{\left(F \right)}^{5} + 252 b^{5} c^{5} d^{5} x^{5} \log{\left(F \right)}^{5} + 210 b^{5} c^{4} d^{6} x^{6} \log{\left(F \right)}^{5} + 120 b^{5} c^{3} d^{7} x^{7} \log{\left(F \right)}^{5} + 45 b^{5} c^{2} d^{8} x^{8} \log{\left(F \right)}^{5} + 10 b^{5} c d^{9} x^{9} \log{\left(F \right)}^{5} + b^{5} d^{10} x^{10} \log{\left(F \right)}^{5} - 5 b^{4} c^{8} \log{\left(F \right)}^{4} - 40 b^{4} c^{7} d x \log{\left(F \right)}^{4} - 140 b^{4} c^{6} d^{2} x^{2} \log{\left(F \right)}^{4} - 280 b^{4} c^{5} d^{3} x^{3} \log{\left(F \right)}^{4} - 350 b^{4} c^{4} d^{4} x^{4} \log{\left(F \right)}^{4} - 280 b^{4} c^{3} d^{5} x^{5} \log{\left(F \right)}^{4} - 140 b^{4} c^{2} d^{6} x^{6} \log{\left(F \right)}^{4} - 40 b^{4} c d^{7} x^{7} \log{\left(F \right)}^{4} - 5 b^{4} d^{8} x^{8} \log{\left(F \right)}^{4} + 20 b^{3} c^{6} \log{\left(F \right)}^{3} + 120 b^{3} c^{5} d x \log{\left(F \right)}^{3} + 300 b^{3} c^{4} d^{2} x^{2} \log{\left(F \right)}^{3} + 400 b^{3} c^{3} d^{3} x^{3} \log{\left(F \right)}^{3} + 300 b^{3} c^{2} d^{4} x^{4} \log{\left(F \right)}^{3} + 120 b^{3} c d^{5} x^{5} \log{\left(F \right)}^{3} + 20 b^{3} d^{6} x^{6} \log{\left(F \right)}^{3} - 60 b^{2} c^{4} \log{\left(F \right)}^{2} - 240 b^{2} c^{3} d x \log{\left(F \right)}^{2} - 360 b^{2} c^{2} d^{2} x^{2} \log{\left(F \right)}^{2} - 240 b^{2} c d^{3} x^{3} \log{\left(F \right)}^{2} - 60 b^{2} d^{4} x^{4} \log{\left(F \right)}^{2} + 120 b c^{2} \log{\left(F \right)} + 240 b c d x \log{\left(F \right)} + 120 b d^{2} x^{2} \log{\left(F \right)} - 120\right)}{2 b^{6} d \log{\left(F \right)}^{6}} & \text{for}\: 2 b^{6} d \log{\left(F \right)}^{6} \neq 0 \\c^{11} x + \frac{11 c^{10} d x^{2}}{2} + \frac{55 c^{9} d^{2} x^{3}}{3} + \frac{165 c^{8} d^{3} x^{4}}{4} + 66 c^{7} d^{4} x^{5} + 77 c^{6} d^{5} x^{6} + 66 c^{5} d^{6} x^{7} + \frac{165 c^{4} d^{7} x^{8}}{4} + \frac{55 c^{3} d^{8} x^{9}}{3} + \frac{11 c^{2} d^{9} x^{10}}{2} + c d^{10} x^{11} + \frac{d^{11} x^{12}}{12} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x)**2)*(b**5*c**10*log(F)**5 + 10*b**5*c**9*d*x*log(F)**5 + 45*b**5*c**8*d**2*x**2*log(F)**5 + 120*b**5*c**7*d**3*x**3*log(F)**5 + 210*b**5*c**6*d**4*x**4*log(F)**5 + 252*b**5*c**5*d**5*x**5*log(F)**5 + 210*b**5*c**4*d**6*x**6*log(F)**5 + 120*b**5*c**3*d**7*x**7*log(F)**5 + 45*b**5*c**2*d**8*x**8*log(F)**5 + 10*b**5*c*d**9*x**9*log(F)**5 + b**5*d**10*x**10*log(F)**5 - 5*b**4*c**8*log(F)**4 - 40*b**4*c**7*d*x*log(F)**4 - 140*b**4*c**6*d**2*x**2*log(F)**4 - 280*b**4*c**5*d**3*x**3*log(F)**4 - 350*b**4*c**4*d**4*x**4*log(F)**4 - 280*b**4*c**3*d**5*x**5*log(F)**4 - 140*b**4*c**2*d**6*x**6*log(F)**4 - 40*b**4*c*d**7*x**7*log(F)**4 - 5*b**4*d**8*x**8*log(F)**4 + 20*b**3*c**6*log(F)**3 + 120*b**3*c**5*d*x*log(F)**3 + 300*b**3*c**4*d**2*x**2*log(F)**3 + 400*b**3*c**3*d**3*x**3*log(F)**3 + 300*b**3*c**2*d**4*x**4*log(F)**3 + 120*b**3*c*d**5*x**5*log(F)**3 + 20*b**3*d**6*x**6*log(F)**3 - 60*b**2*c**4*log(F)**2 - 240*b**2*c**3*d*x*log(F)**2 - 360*b**2*c**2*d**2*x**2*log(F)**2 - 240*b**2*c*d**3*x**3*log(F)**2 - 60*b**2*d**4*x**4*log(F)**2 + 120*b*c**2*log(F) + 240*b*c*d*x*log(F) + 120*b*d**2*x**2*log(F) - 120)/(2*b**6*d*log(F)**6), Ne(2*b**6*d*log(F)**6, 0)), (c**11*x + 11*c**10*d*x**2/2 + 55*c**9*d**2*x**3/3 + 165*c**8*d**3*x**4/4 + 66*c**7*d**4*x**5 + 77*c**6*d**5*x**6 + 66*c**5*d**6*x**7 + 165*c**4*d**7*x**8/4 + 55*c**3*d**8*x**9/3 + 11*c**2*d**9*x**10/2 + c*d**10*x**11 + d**11*x**12/12, True))","A",0
256,1,558,0,0.433860," ","integrate(F**(a+b*(d*x+c)**2)*(d*x+c)**9,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)^{2}} \left(b^{4} c^{8} \log{\left(F \right)}^{4} + 8 b^{4} c^{7} d x \log{\left(F \right)}^{4} + 28 b^{4} c^{6} d^{2} x^{2} \log{\left(F \right)}^{4} + 56 b^{4} c^{5} d^{3} x^{3} \log{\left(F \right)}^{4} + 70 b^{4} c^{4} d^{4} x^{4} \log{\left(F \right)}^{4} + 56 b^{4} c^{3} d^{5} x^{5} \log{\left(F \right)}^{4} + 28 b^{4} c^{2} d^{6} x^{6} \log{\left(F \right)}^{4} + 8 b^{4} c d^{7} x^{7} \log{\left(F \right)}^{4} + b^{4} d^{8} x^{8} \log{\left(F \right)}^{4} - 4 b^{3} c^{6} \log{\left(F \right)}^{3} - 24 b^{3} c^{5} d x \log{\left(F \right)}^{3} - 60 b^{3} c^{4} d^{2} x^{2} \log{\left(F \right)}^{3} - 80 b^{3} c^{3} d^{3} x^{3} \log{\left(F \right)}^{3} - 60 b^{3} c^{2} d^{4} x^{4} \log{\left(F \right)}^{3} - 24 b^{3} c d^{5} x^{5} \log{\left(F \right)}^{3} - 4 b^{3} d^{6} x^{6} \log{\left(F \right)}^{3} + 12 b^{2} c^{4} \log{\left(F \right)}^{2} + 48 b^{2} c^{3} d x \log{\left(F \right)}^{2} + 72 b^{2} c^{2} d^{2} x^{2} \log{\left(F \right)}^{2} + 48 b^{2} c d^{3} x^{3} \log{\left(F \right)}^{2} + 12 b^{2} d^{4} x^{4} \log{\left(F \right)}^{2} - 24 b c^{2} \log{\left(F \right)} - 48 b c d x \log{\left(F \right)} - 24 b d^{2} x^{2} \log{\left(F \right)} + 24\right)}{2 b^{5} d \log{\left(F \right)}^{5}} & \text{for}\: 2 b^{5} d \log{\left(F \right)}^{5} \neq 0 \\c^{9} x + \frac{9 c^{8} d x^{2}}{2} + 12 c^{7} d^{2} x^{3} + 21 c^{6} d^{3} x^{4} + \frac{126 c^{5} d^{4} x^{5}}{5} + 21 c^{4} d^{5} x^{6} + 12 c^{3} d^{6} x^{7} + \frac{9 c^{2} d^{7} x^{8}}{2} + c d^{8} x^{9} + \frac{d^{9} x^{10}}{10} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x)**2)*(b**4*c**8*log(F)**4 + 8*b**4*c**7*d*x*log(F)**4 + 28*b**4*c**6*d**2*x**2*log(F)**4 + 56*b**4*c**5*d**3*x**3*log(F)**4 + 70*b**4*c**4*d**4*x**4*log(F)**4 + 56*b**4*c**3*d**5*x**5*log(F)**4 + 28*b**4*c**2*d**6*x**6*log(F)**4 + 8*b**4*c*d**7*x**7*log(F)**4 + b**4*d**8*x**8*log(F)**4 - 4*b**3*c**6*log(F)**3 - 24*b**3*c**5*d*x*log(F)**3 - 60*b**3*c**4*d**2*x**2*log(F)**3 - 80*b**3*c**3*d**3*x**3*log(F)**3 - 60*b**3*c**2*d**4*x**4*log(F)**3 - 24*b**3*c*d**5*x**5*log(F)**3 - 4*b**3*d**6*x**6*log(F)**3 + 12*b**2*c**4*log(F)**2 + 48*b**2*c**3*d*x*log(F)**2 + 72*b**2*c**2*d**2*x**2*log(F)**2 + 48*b**2*c*d**3*x**3*log(F)**2 + 12*b**2*d**4*x**4*log(F)**2 - 24*b*c**2*log(F) - 48*b*c*d*x*log(F) - 24*b*d**2*x**2*log(F) + 24)/(2*b**5*d*log(F)**5), Ne(2*b**5*d*log(F)**5, 0)), (c**9*x + 9*c**8*d*x**2/2 + 12*c**7*d**2*x**3 + 21*c**6*d**3*x**4 + 126*c**5*d**4*x**5/5 + 21*c**4*d**5*x**6 + 12*c**3*d**6*x**7 + 9*c**2*d**7*x**8/2 + c*d**8*x**9 + d**9*x**10/10, True))","A",0
257,1,366,0,0.335406," ","integrate(F**(a+b*(d*x+c)**2)*(d*x+c)**7,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)^{2}} \left(b^{3} c^{6} \log{\left(F \right)}^{3} + 6 b^{3} c^{5} d x \log{\left(F \right)}^{3} + 15 b^{3} c^{4} d^{2} x^{2} \log{\left(F \right)}^{3} + 20 b^{3} c^{3} d^{3} x^{3} \log{\left(F \right)}^{3} + 15 b^{3} c^{2} d^{4} x^{4} \log{\left(F \right)}^{3} + 6 b^{3} c d^{5} x^{5} \log{\left(F \right)}^{3} + b^{3} d^{6} x^{6} \log{\left(F \right)}^{3} - 3 b^{2} c^{4} \log{\left(F \right)}^{2} - 12 b^{2} c^{3} d x \log{\left(F \right)}^{2} - 18 b^{2} c^{2} d^{2} x^{2} \log{\left(F \right)}^{2} - 12 b^{2} c d^{3} x^{3} \log{\left(F \right)}^{2} - 3 b^{2} d^{4} x^{4} \log{\left(F \right)}^{2} + 6 b c^{2} \log{\left(F \right)} + 12 b c d x \log{\left(F \right)} + 6 b d^{2} x^{2} \log{\left(F \right)} - 6\right)}{2 b^{4} d \log{\left(F \right)}^{4}} & \text{for}\: 2 b^{4} d \log{\left(F \right)}^{4} \neq 0 \\c^{7} x + \frac{7 c^{6} d x^{2}}{2} + 7 c^{5} d^{2} x^{3} + \frac{35 c^{4} d^{3} x^{4}}{4} + 7 c^{3} d^{4} x^{5} + \frac{7 c^{2} d^{5} x^{6}}{2} + c d^{6} x^{7} + \frac{d^{7} x^{8}}{8} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x)**2)*(b**3*c**6*log(F)**3 + 6*b**3*c**5*d*x*log(F)**3 + 15*b**3*c**4*d**2*x**2*log(F)**3 + 20*b**3*c**3*d**3*x**3*log(F)**3 + 15*b**3*c**2*d**4*x**4*log(F)**3 + 6*b**3*c*d**5*x**5*log(F)**3 + b**3*d**6*x**6*log(F)**3 - 3*b**2*c**4*log(F)**2 - 12*b**2*c**3*d*x*log(F)**2 - 18*b**2*c**2*d**2*x**2*log(F)**2 - 12*b**2*c*d**3*x**3*log(F)**2 - 3*b**2*d**4*x**4*log(F)**2 + 6*b*c**2*log(F) + 12*b*c*d*x*log(F) + 6*b*d**2*x**2*log(F) - 6)/(2*b**4*d*log(F)**4), Ne(2*b**4*d*log(F)**4, 0)), (c**7*x + 7*c**6*d*x**2/2 + 7*c**5*d**2*x**3 + 35*c**4*d**3*x**4/4 + 7*c**3*d**4*x**5 + 7*c**2*d**5*x**6/2 + c*d**6*x**7 + d**7*x**8/8, True))","A",0
258,1,214,0,0.256738," ","integrate(F**(a+b*(d*x+c)**2)*(d*x+c)**5,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)^{2}} \left(b^{2} c^{4} \log{\left(F \right)}^{2} + 4 b^{2} c^{3} d x \log{\left(F \right)}^{2} + 6 b^{2} c^{2} d^{2} x^{2} \log{\left(F \right)}^{2} + 4 b^{2} c d^{3} x^{3} \log{\left(F \right)}^{2} + b^{2} d^{4} x^{4} \log{\left(F \right)}^{2} - 2 b c^{2} \log{\left(F \right)} - 4 b c d x \log{\left(F \right)} - 2 b d^{2} x^{2} \log{\left(F \right)} + 2\right)}{2 b^{3} d \log{\left(F \right)}^{3}} & \text{for}\: 2 b^{3} d \log{\left(F \right)}^{3} \neq 0 \\c^{5} x + \frac{5 c^{4} d x^{2}}{2} + \frac{10 c^{3} d^{2} x^{3}}{3} + \frac{5 c^{2} d^{3} x^{4}}{2} + c d^{4} x^{5} + \frac{d^{5} x^{6}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x)**2)*(b**2*c**4*log(F)**2 + 4*b**2*c**3*d*x*log(F)**2 + 6*b**2*c**2*d**2*x**2*log(F)**2 + 4*b**2*c*d**3*x**3*log(F)**2 + b**2*d**4*x**4*log(F)**2 - 2*b*c**2*log(F) - 4*b*c*d*x*log(F) - 2*b*d**2*x**2*log(F) + 2)/(2*b**3*d*log(F)**3), Ne(2*b**3*d*log(F)**3, 0)), (c**5*x + 5*c**4*d*x**2/2 + 10*c**3*d**2*x**3/3 + 5*c**2*d**3*x**4/2 + c*d**4*x**5 + d**5*x**6/6, True))","A",0
259,1,100,0,0.191989," ","integrate(F**(a+b*(d*x+c)**2)*(d*x+c)**3,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)^{2}} \left(b c^{2} \log{\left(F \right)} + 2 b c d x \log{\left(F \right)} + b d^{2} x^{2} \log{\left(F \right)} - 1\right)}{2 b^{2} d \log{\left(F \right)}^{2}} & \text{for}\: 2 b^{2} d \log{\left(F \right)}^{2} \neq 0 \\c^{3} x + \frac{3 c^{2} d x^{2}}{2} + c d^{2} x^{3} + \frac{d^{3} x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x)**2)*(b*c**2*log(F) + 2*b*c*d*x*log(F) + b*d**2*x**2*log(F) - 1)/(2*b**2*d*log(F)**2), Ne(2*b**2*d*log(F)**2, 0)), (c**3*x + 3*c**2*d*x**2/2 + c*d**2*x**3 + d**3*x**4/4, True))","A",0
260,1,36,0,0.143538," ","integrate(F**(a+b*(d*x+c)**2)*(d*x+c),x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)^{2}}}{2 b d \log{\left(F \right)}} & \text{for}\: 2 b d \log{\left(F \right)} \neq 0 \\c x + \frac{d x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x)**2)/(2*b*d*log(F)), Ne(2*b*d*log(F), 0)), (c*x + d*x**2/2, True))","A",0
261,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(d*x+c),x)","\int \frac{F^{a + b \left(c + d x\right)^{2}}}{c + d x}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)/(c + d*x), x)","F",0
262,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(d*x+c)**3,x)","\int \frac{F^{a + b \left(c + d x\right)^{2}}}{\left(c + d x\right)^{3}}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)/(c + d*x)**3, x)","F",0
263,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(d*x+c)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
264,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(d*x+c)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
265,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(d*x+c)**9,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
266,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(d*x+c)**11,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
267,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)*(d*x+c)**12,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
268,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)*(d*x+c)**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
269,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)*(d*x+c)**8,x)","\int F^{a + b \left(c + d x\right)^{2}} \left(c + d x\right)^{8}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)*(c + d*x)**8, x)","F",0
270,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)*(d*x+c)**6,x)","\int F^{a + b \left(c + d x\right)^{2}} \left(c + d x\right)^{6}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)*(c + d*x)**6, x)","F",0
271,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)*(d*x+c)**4,x)","\int F^{a + b \left(c + d x\right)^{2}} \left(c + d x\right)^{4}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)*(c + d*x)**4, x)","F",0
272,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)*(d*x+c)**2,x)","\int F^{a + b \left(c + d x\right)^{2}} \left(c + d x\right)^{2}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)*(c + d*x)**2, x)","F",0
273,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2),x)","\int F^{a + b \left(c + d x\right)^{2}}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2), x)","F",0
274,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(d*x+c)**2,x)","\int \frac{F^{a + b \left(c + d x\right)^{2}}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)/(c + d*x)**2, x)","F",0
275,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(d*x+c)**4,x)","\int \frac{F^{a + b \left(c + d x\right)^{2}}}{\left(c + d x\right)^{4}}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)/(c + d*x)**4, x)","F",0
276,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(d*x+c)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
277,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(d*x+c)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
278,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(d*x+c)**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
279,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(d*x+c)**12,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
280,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**3)*(d*x+c)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
281,1,1171,0,0.793282," ","integrate(F**(a+b*(d*x+c)**3)*(d*x+c)**17,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)^{3}} \left(b^{5} c^{15} \log{\left(F \right)}^{5} + 15 b^{5} c^{14} d x \log{\left(F \right)}^{5} + 105 b^{5} c^{13} d^{2} x^{2} \log{\left(F \right)}^{5} + 455 b^{5} c^{12} d^{3} x^{3} \log{\left(F \right)}^{5} + 1365 b^{5} c^{11} d^{4} x^{4} \log{\left(F \right)}^{5} + 3003 b^{5} c^{10} d^{5} x^{5} \log{\left(F \right)}^{5} + 5005 b^{5} c^{9} d^{6} x^{6} \log{\left(F \right)}^{5} + 6435 b^{5} c^{8} d^{7} x^{7} \log{\left(F \right)}^{5} + 6435 b^{5} c^{7} d^{8} x^{8} \log{\left(F \right)}^{5} + 5005 b^{5} c^{6} d^{9} x^{9} \log{\left(F \right)}^{5} + 3003 b^{5} c^{5} d^{10} x^{10} \log{\left(F \right)}^{5} + 1365 b^{5} c^{4} d^{11} x^{11} \log{\left(F \right)}^{5} + 455 b^{5} c^{3} d^{12} x^{12} \log{\left(F \right)}^{5} + 105 b^{5} c^{2} d^{13} x^{13} \log{\left(F \right)}^{5} + 15 b^{5} c d^{14} x^{14} \log{\left(F \right)}^{5} + b^{5} d^{15} x^{15} \log{\left(F \right)}^{5} - 5 b^{4} c^{12} \log{\left(F \right)}^{4} - 60 b^{4} c^{11} d x \log{\left(F \right)}^{4} - 330 b^{4} c^{10} d^{2} x^{2} \log{\left(F \right)}^{4} - 1100 b^{4} c^{9} d^{3} x^{3} \log{\left(F \right)}^{4} - 2475 b^{4} c^{8} d^{4} x^{4} \log{\left(F \right)}^{4} - 3960 b^{4} c^{7} d^{5} x^{5} \log{\left(F \right)}^{4} - 4620 b^{4} c^{6} d^{6} x^{6} \log{\left(F \right)}^{4} - 3960 b^{4} c^{5} d^{7} x^{7} \log{\left(F \right)}^{4} - 2475 b^{4} c^{4} d^{8} x^{8} \log{\left(F \right)}^{4} - 1100 b^{4} c^{3} d^{9} x^{9} \log{\left(F \right)}^{4} - 330 b^{4} c^{2} d^{10} x^{10} \log{\left(F \right)}^{4} - 60 b^{4} c d^{11} x^{11} \log{\left(F \right)}^{4} - 5 b^{4} d^{12} x^{12} \log{\left(F \right)}^{4} + 20 b^{3} c^{9} \log{\left(F \right)}^{3} + 180 b^{3} c^{8} d x \log{\left(F \right)}^{3} + 720 b^{3} c^{7} d^{2} x^{2} \log{\left(F \right)}^{3} + 1680 b^{3} c^{6} d^{3} x^{3} \log{\left(F \right)}^{3} + 2520 b^{3} c^{5} d^{4} x^{4} \log{\left(F \right)}^{3} + 2520 b^{3} c^{4} d^{5} x^{5} \log{\left(F \right)}^{3} + 1680 b^{3} c^{3} d^{6} x^{6} \log{\left(F \right)}^{3} + 720 b^{3} c^{2} d^{7} x^{7} \log{\left(F \right)}^{3} + 180 b^{3} c d^{8} x^{8} \log{\left(F \right)}^{3} + 20 b^{3} d^{9} x^{9} \log{\left(F \right)}^{3} - 60 b^{2} c^{6} \log{\left(F \right)}^{2} - 360 b^{2} c^{5} d x \log{\left(F \right)}^{2} - 900 b^{2} c^{4} d^{2} x^{2} \log{\left(F \right)}^{2} - 1200 b^{2} c^{3} d^{3} x^{3} \log{\left(F \right)}^{2} - 900 b^{2} c^{2} d^{4} x^{4} \log{\left(F \right)}^{2} - 360 b^{2} c d^{5} x^{5} \log{\left(F \right)}^{2} - 60 b^{2} d^{6} x^{6} \log{\left(F \right)}^{2} + 120 b c^{3} \log{\left(F \right)} + 360 b c^{2} d x \log{\left(F \right)} + 360 b c d^{2} x^{2} \log{\left(F \right)} + 120 b d^{3} x^{3} \log{\left(F \right)} - 120\right)}{3 b^{6} d \log{\left(F \right)}^{6}} & \text{for}\: 3 b^{6} d \log{\left(F \right)}^{6} \neq 0 \\c^{17} x + \frac{17 c^{16} d x^{2}}{2} + \frac{136 c^{15} d^{2} x^{3}}{3} + 170 c^{14} d^{3} x^{4} + 476 c^{13} d^{4} x^{5} + \frac{3094 c^{12} d^{5} x^{6}}{3} + 1768 c^{11} d^{6} x^{7} + 2431 c^{10} d^{7} x^{8} + \frac{24310 c^{9} d^{8} x^{9}}{9} + 2431 c^{8} d^{9} x^{10} + 1768 c^{7} d^{10} x^{11} + \frac{3094 c^{6} d^{11} x^{12}}{3} + 476 c^{5} d^{12} x^{13} + 170 c^{4} d^{13} x^{14} + \frac{136 c^{3} d^{14} x^{15}}{3} + \frac{17 c^{2} d^{15} x^{16}}{2} + c d^{16} x^{17} + \frac{d^{17} x^{18}}{18} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x)**3)*(b**5*c**15*log(F)**5 + 15*b**5*c**14*d*x*log(F)**5 + 105*b**5*c**13*d**2*x**2*log(F)**5 + 455*b**5*c**12*d**3*x**3*log(F)**5 + 1365*b**5*c**11*d**4*x**4*log(F)**5 + 3003*b**5*c**10*d**5*x**5*log(F)**5 + 5005*b**5*c**9*d**6*x**6*log(F)**5 + 6435*b**5*c**8*d**7*x**7*log(F)**5 + 6435*b**5*c**7*d**8*x**8*log(F)**5 + 5005*b**5*c**6*d**9*x**9*log(F)**5 + 3003*b**5*c**5*d**10*x**10*log(F)**5 + 1365*b**5*c**4*d**11*x**11*log(F)**5 + 455*b**5*c**3*d**12*x**12*log(F)**5 + 105*b**5*c**2*d**13*x**13*log(F)**5 + 15*b**5*c*d**14*x**14*log(F)**5 + b**5*d**15*x**15*log(F)**5 - 5*b**4*c**12*log(F)**4 - 60*b**4*c**11*d*x*log(F)**4 - 330*b**4*c**10*d**2*x**2*log(F)**4 - 1100*b**4*c**9*d**3*x**3*log(F)**4 - 2475*b**4*c**8*d**4*x**4*log(F)**4 - 3960*b**4*c**7*d**5*x**5*log(F)**4 - 4620*b**4*c**6*d**6*x**6*log(F)**4 - 3960*b**4*c**5*d**7*x**7*log(F)**4 - 2475*b**4*c**4*d**8*x**8*log(F)**4 - 1100*b**4*c**3*d**9*x**9*log(F)**4 - 330*b**4*c**2*d**10*x**10*log(F)**4 - 60*b**4*c*d**11*x**11*log(F)**4 - 5*b**4*d**12*x**12*log(F)**4 + 20*b**3*c**9*log(F)**3 + 180*b**3*c**8*d*x*log(F)**3 + 720*b**3*c**7*d**2*x**2*log(F)**3 + 1680*b**3*c**6*d**3*x**3*log(F)**3 + 2520*b**3*c**5*d**4*x**4*log(F)**3 + 2520*b**3*c**4*d**5*x**5*log(F)**3 + 1680*b**3*c**3*d**6*x**6*log(F)**3 + 720*b**3*c**2*d**7*x**7*log(F)**3 + 180*b**3*c*d**8*x**8*log(F)**3 + 20*b**3*d**9*x**9*log(F)**3 - 60*b**2*c**6*log(F)**2 - 360*b**2*c**5*d*x*log(F)**2 - 900*b**2*c**4*d**2*x**2*log(F)**2 - 1200*b**2*c**3*d**3*x**3*log(F)**2 - 900*b**2*c**2*d**4*x**4*log(F)**2 - 360*b**2*c*d**5*x**5*log(F)**2 - 60*b**2*d**6*x**6*log(F)**2 + 120*b*c**3*log(F) + 360*b*c**2*d*x*log(F) + 360*b*c*d**2*x**2*log(F) + 120*b*d**3*x**3*log(F) - 120)/(3*b**6*d*log(F)**6), Ne(3*b**6*d*log(F)**6, 0)), (c**17*x + 17*c**16*d*x**2/2 + 136*c**15*d**2*x**3/3 + 170*c**14*d**3*x**4 + 476*c**13*d**4*x**5 + 3094*c**12*d**5*x**6/3 + 1768*c**11*d**6*x**7 + 2431*c**10*d**7*x**8 + 24310*c**9*d**8*x**9/9 + 2431*c**8*d**9*x**10 + 1768*c**7*d**10*x**11 + 3094*c**6*d**11*x**12/3 + 476*c**5*d**12*x**13 + 170*c**4*d**13*x**14 + 136*c**3*d**14*x**15/3 + 17*c**2*d**15*x**16/2 + c*d**16*x**17 + d**17*x**18/18, True))","A",0
282,1,823,0,0.608989," ","integrate(F**(a+b*(d*x+c)**3)*(d*x+c)**14,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)^{3}} \left(b^{4} c^{12} \log{\left(F \right)}^{4} + 12 b^{4} c^{11} d x \log{\left(F \right)}^{4} + 66 b^{4} c^{10} d^{2} x^{2} \log{\left(F \right)}^{4} + 220 b^{4} c^{9} d^{3} x^{3} \log{\left(F \right)}^{4} + 495 b^{4} c^{8} d^{4} x^{4} \log{\left(F \right)}^{4} + 792 b^{4} c^{7} d^{5} x^{5} \log{\left(F \right)}^{4} + 924 b^{4} c^{6} d^{6} x^{6} \log{\left(F \right)}^{4} + 792 b^{4} c^{5} d^{7} x^{7} \log{\left(F \right)}^{4} + 495 b^{4} c^{4} d^{8} x^{8} \log{\left(F \right)}^{4} + 220 b^{4} c^{3} d^{9} x^{9} \log{\left(F \right)}^{4} + 66 b^{4} c^{2} d^{10} x^{10} \log{\left(F \right)}^{4} + 12 b^{4} c d^{11} x^{11} \log{\left(F \right)}^{4} + b^{4} d^{12} x^{12} \log{\left(F \right)}^{4} - 4 b^{3} c^{9} \log{\left(F \right)}^{3} - 36 b^{3} c^{8} d x \log{\left(F \right)}^{3} - 144 b^{3} c^{7} d^{2} x^{2} \log{\left(F \right)}^{3} - 336 b^{3} c^{6} d^{3} x^{3} \log{\left(F \right)}^{3} - 504 b^{3} c^{5} d^{4} x^{4} \log{\left(F \right)}^{3} - 504 b^{3} c^{4} d^{5} x^{5} \log{\left(F \right)}^{3} - 336 b^{3} c^{3} d^{6} x^{6} \log{\left(F \right)}^{3} - 144 b^{3} c^{2} d^{7} x^{7} \log{\left(F \right)}^{3} - 36 b^{3} c d^{8} x^{8} \log{\left(F \right)}^{3} - 4 b^{3} d^{9} x^{9} \log{\left(F \right)}^{3} + 12 b^{2} c^{6} \log{\left(F \right)}^{2} + 72 b^{2} c^{5} d x \log{\left(F \right)}^{2} + 180 b^{2} c^{4} d^{2} x^{2} \log{\left(F \right)}^{2} + 240 b^{2} c^{3} d^{3} x^{3} \log{\left(F \right)}^{2} + 180 b^{2} c^{2} d^{4} x^{4} \log{\left(F \right)}^{2} + 72 b^{2} c d^{5} x^{5} \log{\left(F \right)}^{2} + 12 b^{2} d^{6} x^{6} \log{\left(F \right)}^{2} - 24 b c^{3} \log{\left(F \right)} - 72 b c^{2} d x \log{\left(F \right)} - 72 b c d^{2} x^{2} \log{\left(F \right)} - 24 b d^{3} x^{3} \log{\left(F \right)} + 24\right)}{3 b^{5} d \log{\left(F \right)}^{5}} & \text{for}\: 3 b^{5} d \log{\left(F \right)}^{5} \neq 0 \\c^{14} x + 7 c^{13} d x^{2} + \frac{91 c^{12} d^{2} x^{3}}{3} + 91 c^{11} d^{3} x^{4} + \frac{1001 c^{10} d^{4} x^{5}}{5} + \frac{1001 c^{9} d^{5} x^{6}}{3} + 429 c^{8} d^{6} x^{7} + 429 c^{7} d^{7} x^{8} + \frac{1001 c^{6} d^{8} x^{9}}{3} + \frac{1001 c^{5} d^{9} x^{10}}{5} + 91 c^{4} d^{10} x^{11} + \frac{91 c^{3} d^{11} x^{12}}{3} + 7 c^{2} d^{12} x^{13} + c d^{13} x^{14} + \frac{d^{14} x^{15}}{15} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x)**3)*(b**4*c**12*log(F)**4 + 12*b**4*c**11*d*x*log(F)**4 + 66*b**4*c**10*d**2*x**2*log(F)**4 + 220*b**4*c**9*d**3*x**3*log(F)**4 + 495*b**4*c**8*d**4*x**4*log(F)**4 + 792*b**4*c**7*d**5*x**5*log(F)**4 + 924*b**4*c**6*d**6*x**6*log(F)**4 + 792*b**4*c**5*d**7*x**7*log(F)**4 + 495*b**4*c**4*d**8*x**8*log(F)**4 + 220*b**4*c**3*d**9*x**9*log(F)**4 + 66*b**4*c**2*d**10*x**10*log(F)**4 + 12*b**4*c*d**11*x**11*log(F)**4 + b**4*d**12*x**12*log(F)**4 - 4*b**3*c**9*log(F)**3 - 36*b**3*c**8*d*x*log(F)**3 - 144*b**3*c**7*d**2*x**2*log(F)**3 - 336*b**3*c**6*d**3*x**3*log(F)**3 - 504*b**3*c**5*d**4*x**4*log(F)**3 - 504*b**3*c**4*d**5*x**5*log(F)**3 - 336*b**3*c**3*d**6*x**6*log(F)**3 - 144*b**3*c**2*d**7*x**7*log(F)**3 - 36*b**3*c*d**8*x**8*log(F)**3 - 4*b**3*d**9*x**9*log(F)**3 + 12*b**2*c**6*log(F)**2 + 72*b**2*c**5*d*x*log(F)**2 + 180*b**2*c**4*d**2*x**2*log(F)**2 + 240*b**2*c**3*d**3*x**3*log(F)**2 + 180*b**2*c**2*d**4*x**4*log(F)**2 + 72*b**2*c*d**5*x**5*log(F)**2 + 12*b**2*d**6*x**6*log(F)**2 - 24*b*c**3*log(F) - 72*b*c**2*d*x*log(F) - 72*b*c*d**2*x**2*log(F) - 24*b*d**3*x**3*log(F) + 24)/(3*b**5*d*log(F)**5), Ne(3*b**5*d*log(F)**5, 0)), (c**14*x + 7*c**13*d*x**2 + 91*c**12*d**2*x**3/3 + 91*c**11*d**3*x**4 + 1001*c**10*d**4*x**5/5 + 1001*c**9*d**5*x**6/3 + 429*c**8*d**6*x**7 + 429*c**7*d**7*x**8 + 1001*c**6*d**8*x**9/3 + 1001*c**5*d**9*x**10/5 + 91*c**4*d**10*x**11 + 91*c**3*d**11*x**12/3 + 7*c**2*d**12*x**13 + c*d**13*x**14 + d**14*x**15/15, True))","A",0
283,1,537,0,0.458740," ","integrate(F**(a+b*(d*x+c)**3)*(d*x+c)**11,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)^{3}} \left(b^{3} c^{9} \log{\left(F \right)}^{3} + 9 b^{3} c^{8} d x \log{\left(F \right)}^{3} + 36 b^{3} c^{7} d^{2} x^{2} \log{\left(F \right)}^{3} + 84 b^{3} c^{6} d^{3} x^{3} \log{\left(F \right)}^{3} + 126 b^{3} c^{5} d^{4} x^{4} \log{\left(F \right)}^{3} + 126 b^{3} c^{4} d^{5} x^{5} \log{\left(F \right)}^{3} + 84 b^{3} c^{3} d^{6} x^{6} \log{\left(F \right)}^{3} + 36 b^{3} c^{2} d^{7} x^{7} \log{\left(F \right)}^{3} + 9 b^{3} c d^{8} x^{8} \log{\left(F \right)}^{3} + b^{3} d^{9} x^{9} \log{\left(F \right)}^{3} - 3 b^{2} c^{6} \log{\left(F \right)}^{2} - 18 b^{2} c^{5} d x \log{\left(F \right)}^{2} - 45 b^{2} c^{4} d^{2} x^{2} \log{\left(F \right)}^{2} - 60 b^{2} c^{3} d^{3} x^{3} \log{\left(F \right)}^{2} - 45 b^{2} c^{2} d^{4} x^{4} \log{\left(F \right)}^{2} - 18 b^{2} c d^{5} x^{5} \log{\left(F \right)}^{2} - 3 b^{2} d^{6} x^{6} \log{\left(F \right)}^{2} + 6 b c^{3} \log{\left(F \right)} + 18 b c^{2} d x \log{\left(F \right)} + 18 b c d^{2} x^{2} \log{\left(F \right)} + 6 b d^{3} x^{3} \log{\left(F \right)} - 6\right)}{3 b^{4} d \log{\left(F \right)}^{4}} & \text{for}\: 3 b^{4} d \log{\left(F \right)}^{4} \neq 0 \\c^{11} x + \frac{11 c^{10} d x^{2}}{2} + \frac{55 c^{9} d^{2} x^{3}}{3} + \frac{165 c^{8} d^{3} x^{4}}{4} + 66 c^{7} d^{4} x^{5} + 77 c^{6} d^{5} x^{6} + 66 c^{5} d^{6} x^{7} + \frac{165 c^{4} d^{7} x^{8}}{4} + \frac{55 c^{3} d^{8} x^{9}}{3} + \frac{11 c^{2} d^{9} x^{10}}{2} + c d^{10} x^{11} + \frac{d^{11} x^{12}}{12} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x)**3)*(b**3*c**9*log(F)**3 + 9*b**3*c**8*d*x*log(F)**3 + 36*b**3*c**7*d**2*x**2*log(F)**3 + 84*b**3*c**6*d**3*x**3*log(F)**3 + 126*b**3*c**5*d**4*x**4*log(F)**3 + 126*b**3*c**4*d**5*x**5*log(F)**3 + 84*b**3*c**3*d**6*x**6*log(F)**3 + 36*b**3*c**2*d**7*x**7*log(F)**3 + 9*b**3*c*d**8*x**8*log(F)**3 + b**3*d**9*x**9*log(F)**3 - 3*b**2*c**6*log(F)**2 - 18*b**2*c**5*d*x*log(F)**2 - 45*b**2*c**4*d**2*x**2*log(F)**2 - 60*b**2*c**3*d**3*x**3*log(F)**2 - 45*b**2*c**2*d**4*x**4*log(F)**2 - 18*b**2*c*d**5*x**5*log(F)**2 - 3*b**2*d**6*x**6*log(F)**2 + 6*b*c**3*log(F) + 18*b*c**2*d*x*log(F) + 18*b*c*d**2*x**2*log(F) + 6*b*d**3*x**3*log(F) - 6)/(3*b**4*d*log(F)**4), Ne(3*b**4*d*log(F)**4, 0)), (c**11*x + 11*c**10*d*x**2/2 + 55*c**9*d**2*x**3/3 + 165*c**8*d**3*x**4/4 + 66*c**7*d**4*x**5 + 77*c**6*d**5*x**6 + 66*c**5*d**6*x**7 + 165*c**4*d**7*x**8/4 + 55*c**3*d**8*x**9/3 + 11*c**2*d**9*x**10/2 + c*d**10*x**11 + d**11*x**12/12, True))","A",0
284,1,306,0,0.335167," ","integrate(F**(a+b*(d*x+c)**3)*(d*x+c)**8,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)^{3}} \left(b^{2} c^{6} \log{\left(F \right)}^{2} + 6 b^{2} c^{5} d x \log{\left(F \right)}^{2} + 15 b^{2} c^{4} d^{2} x^{2} \log{\left(F \right)}^{2} + 20 b^{2} c^{3} d^{3} x^{3} \log{\left(F \right)}^{2} + 15 b^{2} c^{2} d^{4} x^{4} \log{\left(F \right)}^{2} + 6 b^{2} c d^{5} x^{5} \log{\left(F \right)}^{2} + b^{2} d^{6} x^{6} \log{\left(F \right)}^{2} - 2 b c^{3} \log{\left(F \right)} - 6 b c^{2} d x \log{\left(F \right)} - 6 b c d^{2} x^{2} \log{\left(F \right)} - 2 b d^{3} x^{3} \log{\left(F \right)} + 2\right)}{3 b^{3} d \log{\left(F \right)}^{3}} & \text{for}\: 3 b^{3} d \log{\left(F \right)}^{3} \neq 0 \\c^{8} x + 4 c^{7} d x^{2} + \frac{28 c^{6} d^{2} x^{3}}{3} + 14 c^{5} d^{3} x^{4} + 14 c^{4} d^{4} x^{5} + \frac{28 c^{3} d^{5} x^{6}}{3} + 4 c^{2} d^{6} x^{7} + c d^{7} x^{8} + \frac{d^{8} x^{9}}{9} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x)**3)*(b**2*c**6*log(F)**2 + 6*b**2*c**5*d*x*log(F)**2 + 15*b**2*c**4*d**2*x**2*log(F)**2 + 20*b**2*c**3*d**3*x**3*log(F)**2 + 15*b**2*c**2*d**4*x**4*log(F)**2 + 6*b**2*c*d**5*x**5*log(F)**2 + b**2*d**6*x**6*log(F)**2 - 2*b*c**3*log(F) - 6*b*c**2*d*x*log(F) - 6*b*c*d**2*x**2*log(F) - 2*b*d**3*x**3*log(F) + 2)/(3*b**3*d*log(F)**3), Ne(3*b**3*d*log(F)**3, 0)), (c**8*x + 4*c**7*d*x**2 + 28*c**6*d**2*x**3/3 + 14*c**5*d**3*x**4 + 14*c**4*d**4*x**5 + 28*c**3*d**5*x**6/3 + 4*c**2*d**6*x**7 + c*d**7*x**8 + d**8*x**9/9, True))","A",0
285,1,144,0,0.239005," ","integrate(F**(a+b*(d*x+c)**3)*(d*x+c)**5,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)^{3}} \left(b c^{3} \log{\left(F \right)} + 3 b c^{2} d x \log{\left(F \right)} + 3 b c d^{2} x^{2} \log{\left(F \right)} + b d^{3} x^{3} \log{\left(F \right)} - 1\right)}{3 b^{2} d \log{\left(F \right)}^{2}} & \text{for}\: 3 b^{2} d \log{\left(F \right)}^{2} \neq 0 \\c^{5} x + \frac{5 c^{4} d x^{2}}{2} + \frac{10 c^{3} d^{2} x^{3}}{3} + \frac{5 c^{2} d^{3} x^{4}}{2} + c d^{4} x^{5} + \frac{d^{5} x^{6}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x)**3)*(b*c**3*log(F) + 3*b*c**2*d*x*log(F) + 3*b*c*d**2*x**2*log(F) + b*d**3*x**3*log(F) - 1)/(3*b**2*d*log(F)**2), Ne(3*b**2*d*log(F)**2, 0)), (c**5*x + 5*c**4*d*x**2/2 + 10*c**3*d**2*x**3/3 + 5*c**2*d**3*x**4/2 + c*d**4*x**5 + d**5*x**6/6, True))","A",0
286,1,46,0,0.176584," ","integrate(F**(a+b*(d*x+c)**3)*(d*x+c)**2,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)^{3}}}{3 b d \log{\left(F \right)}} & \text{for}\: 3 b d \log{\left(F \right)} \neq 0 \\c^{2} x + c d x^{2} + \frac{d^{2} x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x)**3)/(3*b*d*log(F)), Ne(3*b*d*log(F), 0)), (c**2*x + c*d*x**2 + d**2*x**3/3, True))","A",0
287,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**3)/(d*x+c),x)","\int \frac{F^{a + b \left(c + d x\right)^{3}}}{c + d x}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**3)/(c + d*x), x)","F",0
288,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**3)/(d*x+c)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
289,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**3)/(d*x+c)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
290,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**3)/(d*x+c)**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
291,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**3)/(d*x+c)**13,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
292,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**3)/(d*x+c)**16,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
293,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**3)*(d*x+c)**3,x)","\int F^{a + b \left(c + d x\right)^{3}} \left(c + d x\right)^{3}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**3)*(c + d*x)**3, x)","F",0
294,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**3)*(d*x+c),x)","\int F^{a + b \left(c + d x\right)^{3}} \left(c + d x\right)\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**3)*(c + d*x), x)","F",0
295,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**3),x)","\int F^{a + b \left(c + d x\right)^{3}}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**3), x)","F",0
296,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**3)/(d*x+c)**2,x)","\int \frac{F^{a + b \left(c + d x\right)^{3}}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**3)/(c + d*x)**2, x)","F",0
297,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**3)/(d*x+c)**3,x)","\int \frac{F^{a + b \left(c + d x\right)^{3}}}{\left(c + d x\right)^{3}}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**3)/(c + d*x)**3, x)","F",0
298,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**3)/(d*x+c)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
299,1,76,0,0.719550," ","integrate(f**(a+b*(d*x+c)**(1/2)),x)","\begin{cases} x & \text{for}\: b = 0 \wedge d = 0 \wedge f = 1 \\f^{a + b \sqrt{c}} x & \text{for}\: d = 0 \\f^{a} x & \text{for}\: b = 0 \\x & \text{for}\: f = 1 \\\frac{2 f^{a} f^{b \sqrt{c + d x}} \sqrt{c + d x}}{b d \log{\left(f \right)}} - \frac{2 f^{a} f^{b \sqrt{c + d x}}}{b^{2} d \log{\left(f \right)}^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((x, Eq(b, 0) & Eq(d, 0) & Eq(f, 1)), (f**(a + b*sqrt(c))*x, Eq(d, 0)), (f**a*x, Eq(b, 0)), (x, Eq(f, 1)), (2*f**a*f**(b*sqrt(c + d*x))*sqrt(c + d*x)/(b*d*log(f)) - 2*f**a*f**(b*sqrt(c + d*x))/(b**2*d*log(f)**2), True))","A",0
300,0,0,0,0.000000," ","integrate(f**(a+b*(d*x+c)**(1/3)),x)","\int f^{a + b \sqrt[3]{c + d x}}\, dx"," ",0,"Integral(f**(a + b*(c + d*x)**(1/3)), x)","F",0
301,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c))*(d*x+c)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
302,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c))*(d*x+c)**4,x)","\int F^{a + \frac{b}{c + d x}} \left(c + d x\right)^{4}\, dx"," ",0,"Integral(F**(a + b/(c + d*x))*(c + d*x)**4, x)","F",0
303,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c))*(d*x+c)**3,x)","\int F^{a + \frac{b}{c + d x}} \left(c + d x\right)^{3}\, dx"," ",0,"Integral(F**(a + b/(c + d*x))*(c + d*x)**3, x)","F",0
304,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c))*(d*x+c)**2,x)","\int F^{a + \frac{b}{c + d x}} \left(c + d x\right)^{2}\, dx"," ",0,"Integral(F**(a + b/(c + d*x))*(c + d*x)**2, x)","F",0
305,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c))*(d*x+c),x)","\int F^{a + \frac{b}{c + d x}} \left(c + d x\right)\, dx"," ",0,"Integral(F**(a + b/(c + d*x))*(c + d*x), x)","F",0
306,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)),x)","\int F^{a + \frac{b}{c + d x}}\, dx"," ",0,"Integral(F**(a + b/(c + d*x)), x)","F",0
307,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c))/(d*x+c),x)","\int \frac{F^{a + \frac{b}{c + d x}}}{c + d x}\, dx"," ",0,"Integral(F**(a + b/(c + d*x))/(c + d*x), x)","F",0
308,1,34,0,0.242555," ","integrate(F**(a+b/(d*x+c))/(d*x+c)**2,x)","\begin{cases} - \frac{F^{a + \frac{b}{c + d x}}}{b d \log{\left(F \right)}} & \text{for}\: b d \log{\left(F \right)} \neq 0 \\- \frac{1}{c d + d^{2} x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-F**(a + b/(c + d*x))/(b*d*log(F)), Ne(b*d*log(F), 0)), (-1/(c*d + d**2*x), True))","A",0
309,1,44,0,0.221551," ","integrate(F**(a+b/(d*x+c))/(d*x+c)**3,x)","\frac{F^{a + \frac{b}{c + d x}} \left(- b \log{\left(F \right)} + c + d x\right)}{b^{2} c d \log{\left(F \right)}^{2} + b^{2} d^{2} x \log{\left(F \right)}^{2}}"," ",0,"F**(a + b/(c + d*x))*(-b*log(F) + c + d*x)/(b**2*c*d*log(F)**2 + b**2*d**2*x*log(F)**2)","A",0
310,1,102,0,0.262972," ","integrate(F**(a+b/(d*x+c))/(d*x+c)**4,x)","\frac{F^{a + \frac{b}{c + d x}} \left(- b^{2} \log{\left(F \right)}^{2} + 2 b c \log{\left(F \right)} + 2 b d x \log{\left(F \right)} - 2 c^{2} - 4 c d x - 2 d^{2} x^{2}\right)}{b^{3} c^{2} d \log{\left(F \right)}^{3} + 2 b^{3} c d^{2} x \log{\left(F \right)}^{3} + b^{3} d^{3} x^{2} \log{\left(F \right)}^{3}}"," ",0,"F**(a + b/(c + d*x))*(-b**2*log(F)**2 + 2*b*c*log(F) + 2*b*d*x*log(F) - 2*c**2 - 4*c*d*x - 2*d**2*x**2)/(b**3*c**2*d*log(F)**3 + 2*b**3*c*d**2*x*log(F)**3 + b**3*d**3*x**2*log(F)**3)","A",0
311,1,177,0,0.305789," ","integrate(F**(a+b/(d*x+c))/(d*x+c)**5,x)","\frac{F^{a + \frac{b}{c + d x}} \left(- b^{3} \log{\left(F \right)}^{3} + 3 b^{2} c \log{\left(F \right)}^{2} + 3 b^{2} d x \log{\left(F \right)}^{2} - 6 b c^{2} \log{\left(F \right)} - 12 b c d x \log{\left(F \right)} - 6 b d^{2} x^{2} \log{\left(F \right)} + 6 c^{3} + 18 c^{2} d x + 18 c d^{2} x^{2} + 6 d^{3} x^{3}\right)}{b^{4} c^{3} d \log{\left(F \right)}^{4} + 3 b^{4} c^{2} d^{2} x \log{\left(F \right)}^{4} + 3 b^{4} c d^{3} x^{2} \log{\left(F \right)}^{4} + b^{4} d^{4} x^{3} \log{\left(F \right)}^{4}}"," ",0,"F**(a + b/(c + d*x))*(-b**3*log(F)**3 + 3*b**2*c*log(F)**2 + 3*b**2*d*x*log(F)**2 - 6*b*c**2*log(F) - 12*b*c*d*x*log(F) - 6*b*d**2*x**2*log(F) + 6*c**3 + 18*c**2*d*x + 18*c*d**2*x**2 + 6*d**3*x**3)/(b**4*c**3*d*log(F)**4 + 3*b**4*c**2*d**2*x*log(F)**4 + 3*b**4*c*d**3*x**2*log(F)**4 + b**4*d**4*x**3*log(F)**4)","A",0
312,1,272,0,0.353584," ","integrate(F**(a+b/(d*x+c))/(d*x+c)**6,x)","\frac{F^{a + \frac{b}{c + d x}} \left(- b^{4} \log{\left(F \right)}^{4} + 4 b^{3} c \log{\left(F \right)}^{3} + 4 b^{3} d x \log{\left(F \right)}^{3} - 12 b^{2} c^{2} \log{\left(F \right)}^{2} - 24 b^{2} c d x \log{\left(F \right)}^{2} - 12 b^{2} d^{2} x^{2} \log{\left(F \right)}^{2} + 24 b c^{3} \log{\left(F \right)} + 72 b c^{2} d x \log{\left(F \right)} + 72 b c d^{2} x^{2} \log{\left(F \right)} + 24 b d^{3} x^{3} \log{\left(F \right)} - 24 c^{4} - 96 c^{3} d x - 144 c^{2} d^{2} x^{2} - 96 c d^{3} x^{3} - 24 d^{4} x^{4}\right)}{b^{5} c^{4} d \log{\left(F \right)}^{5} + 4 b^{5} c^{3} d^{2} x \log{\left(F \right)}^{5} + 6 b^{5} c^{2} d^{3} x^{2} \log{\left(F \right)}^{5} + 4 b^{5} c d^{4} x^{3} \log{\left(F \right)}^{5} + b^{5} d^{5} x^{4} \log{\left(F \right)}^{5}}"," ",0,"F**(a + b/(c + d*x))*(-b**4*log(F)**4 + 4*b**3*c*log(F)**3 + 4*b**3*d*x*log(F)**3 - 12*b**2*c**2*log(F)**2 - 24*b**2*c*d*x*log(F)**2 - 12*b**2*d**2*x**2*log(F)**2 + 24*b*c**3*log(F) + 72*b*c**2*d*x*log(F) + 72*b*c*d**2*x**2*log(F) + 24*b*d**3*x**3*log(F) - 24*c**4 - 96*c**3*d*x - 144*c**2*d**2*x**2 - 96*c*d**3*x**3 - 24*d**4*x**4)/(b**5*c**4*d*log(F)**5 + 4*b**5*c**3*d**2*x*log(F)**5 + 6*b**5*c**2*d**3*x**2*log(F)**5 + 4*b**5*c*d**4*x**3*log(F)**5 + b**5*d**5*x**4*log(F)**5)","B",0
313,1,388,0,0.404284," ","integrate(F**(a+b/(d*x+c))/(d*x+c)**7,x)","\frac{F^{a + \frac{b}{c + d x}} \left(- b^{5} \log{\left(F \right)}^{5} + 5 b^{4} c \log{\left(F \right)}^{4} + 5 b^{4} d x \log{\left(F \right)}^{4} - 20 b^{3} c^{2} \log{\left(F \right)}^{3} - 40 b^{3} c d x \log{\left(F \right)}^{3} - 20 b^{3} d^{2} x^{2} \log{\left(F \right)}^{3} + 60 b^{2} c^{3} \log{\left(F \right)}^{2} + 180 b^{2} c^{2} d x \log{\left(F \right)}^{2} + 180 b^{2} c d^{2} x^{2} \log{\left(F \right)}^{2} + 60 b^{2} d^{3} x^{3} \log{\left(F \right)}^{2} - 120 b c^{4} \log{\left(F \right)} - 480 b c^{3} d x \log{\left(F \right)} - 720 b c^{2} d^{2} x^{2} \log{\left(F \right)} - 480 b c d^{3} x^{3} \log{\left(F \right)} - 120 b d^{4} x^{4} \log{\left(F \right)} + 120 c^{5} + 600 c^{4} d x + 1200 c^{3} d^{2} x^{2} + 1200 c^{2} d^{3} x^{3} + 600 c d^{4} x^{4} + 120 d^{5} x^{5}\right)}{b^{6} c^{5} d \log{\left(F \right)}^{6} + 5 b^{6} c^{4} d^{2} x \log{\left(F \right)}^{6} + 10 b^{6} c^{3} d^{3} x^{2} \log{\left(F \right)}^{6} + 10 b^{6} c^{2} d^{4} x^{3} \log{\left(F \right)}^{6} + 5 b^{6} c d^{5} x^{4} \log{\left(F \right)}^{6} + b^{6} d^{6} x^{5} \log{\left(F \right)}^{6}}"," ",0,"F**(a + b/(c + d*x))*(-b**5*log(F)**5 + 5*b**4*c*log(F)**4 + 5*b**4*d*x*log(F)**4 - 20*b**3*c**2*log(F)**3 - 40*b**3*c*d*x*log(F)**3 - 20*b**3*d**2*x**2*log(F)**3 + 60*b**2*c**3*log(F)**2 + 180*b**2*c**2*d*x*log(F)**2 + 180*b**2*c*d**2*x**2*log(F)**2 + 60*b**2*d**3*x**3*log(F)**2 - 120*b*c**4*log(F) - 480*b*c**3*d*x*log(F) - 720*b*c**2*d**2*x**2*log(F) - 480*b*c*d**3*x**3*log(F) - 120*b*d**4*x**4*log(F) + 120*c**5 + 600*c**4*d*x + 1200*c**3*d**2*x**2 + 1200*c**2*d**3*x**3 + 600*c*d**4*x**4 + 120*d**5*x**5)/(b**6*c**5*d*log(F)**6 + 5*b**6*c**4*d**2*x*log(F)**6 + 10*b**6*c**3*d**3*x**2*log(F)**6 + 10*b**6*c**2*d**4*x**3*log(F)**6 + 5*b**6*c*d**5*x**4*log(F)**6 + b**6*d**6*x**5*log(F)**6)","B",0
314,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)*(d*x+c)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
315,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)*(d*x+c)**9,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
316,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)*(d*x+c)**7,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
317,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)*(d*x+c)**5,x)","\int F^{a + \frac{b}{\left(c + d x\right)^{2}}} \left(c + d x\right)^{5}\, dx"," ",0,"Integral(F**(a + b/(c + d*x)**2)*(c + d*x)**5, x)","F",0
318,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)*(d*x+c)**3,x)","\int F^{a + \frac{b}{\left(c + d x\right)^{2}}} \left(c + d x\right)^{3}\, dx"," ",0,"Integral(F**(a + b/(c + d*x)**2)*(c + d*x)**3, x)","F",0
319,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)*(d*x+c),x)","\int F^{a + \frac{b}{\left(c + d x\right)^{2}}} \left(c + d x\right)\, dx"," ",0,"Integral(F**(a + b/(c + d*x)**2)*(c + d*x), x)","F",0
320,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)/(d*x+c),x)","\int \frac{F^{a + \frac{b}{\left(c + d x\right)^{2}}}}{c + d x}\, dx"," ",0,"Integral(F**(a + b/(c + d*x)**2)/(c + d*x), x)","F",0
321,1,54,0,0.337312," ","integrate(F**(a+b/(d*x+c)**2)/(d*x+c)**3,x)","\begin{cases} - \frac{F^{a + \frac{b}{\left(c + d x\right)^{2}}}}{2 b d \log{\left(F \right)}} & \text{for}\: 2 b d \log{\left(F \right)} \neq 0 \\- \frac{1}{2 c^{2} d + 4 c d^{2} x + 2 d^{3} x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-F**(a + b/(c + d*x)**2)/(2*b*d*log(F)), Ne(2*b*d*log(F), 0)), (-1/(2*c**2*d + 4*c*d**2*x + 2*d**3*x**2), True))","A",0
322,1,82,0,0.305658," ","integrate(F**(a+b/(d*x+c)**2)/(d*x+c)**5,x)","\frac{F^{a + \frac{b}{\left(c + d x\right)^{2}}} \left(- b \log{\left(F \right)} + c^{2} + 2 c d x + d^{2} x^{2}\right)}{2 b^{2} c^{2} d \log{\left(F \right)}^{2} + 4 b^{2} c d^{2} x \log{\left(F \right)}^{2} + 2 b^{2} d^{3} x^{2} \log{\left(F \right)}^{2}}"," ",0,"F**(a + b/(c + d*x)**2)*(-b*log(F) + c**2 + 2*c*d*x + d**2*x**2)/(2*b**2*c**2*d*log(F)**2 + 4*b**2*c*d**2*x*log(F)**2 + 2*b**2*d**3*x**2*log(F)**2)","A",0
323,1,189,0,0.388383," ","integrate(F**(a+b/(d*x+c)**2)/(d*x+c)**7,x)","\frac{F^{a + \frac{b}{\left(c + d x\right)^{2}}} \left(- b^{2} \log{\left(F \right)}^{2} + 2 b c^{2} \log{\left(F \right)} + 4 b c d x \log{\left(F \right)} + 2 b d^{2} x^{2} \log{\left(F \right)} - 2 c^{4} - 8 c^{3} d x - 12 c^{2} d^{2} x^{2} - 8 c d^{3} x^{3} - 2 d^{4} x^{4}\right)}{2 b^{3} c^{4} d \log{\left(F \right)}^{3} + 8 b^{3} c^{3} d^{2} x \log{\left(F \right)}^{3} + 12 b^{3} c^{2} d^{3} x^{2} \log{\left(F \right)}^{3} + 8 b^{3} c d^{4} x^{3} \log{\left(F \right)}^{3} + 2 b^{3} d^{5} x^{4} \log{\left(F \right)}^{3}}"," ",0,"F**(a + b/(c + d*x)**2)*(-b**2*log(F)**2 + 2*b*c**2*log(F) + 4*b*c*d*x*log(F) + 2*b*d**2*x**2*log(F) - 2*c**4 - 8*c**3*d*x - 12*c**2*d**2*x**2 - 8*c*d**3*x**3 - 2*d**4*x**4)/(2*b**3*c**4*d*log(F)**3 + 8*b**3*c**3*d**2*x*log(F)**3 + 12*b**3*c**2*d**3*x**2*log(F)**3 + 8*b**3*c*d**4*x**3*log(F)**3 + 2*b**3*d**5*x**4*log(F)**3)","B",0
324,1,333,0,0.476312," ","integrate(F**(a+b/(d*x+c)**2)/(d*x+c)**9,x)","\frac{F^{a + \frac{b}{\left(c + d x\right)^{2}}} \left(- b^{3} \log{\left(F \right)}^{3} + 3 b^{2} c^{2} \log{\left(F \right)}^{2} + 6 b^{2} c d x \log{\left(F \right)}^{2} + 3 b^{2} d^{2} x^{2} \log{\left(F \right)}^{2} - 6 b c^{4} \log{\left(F \right)} - 24 b c^{3} d x \log{\left(F \right)} - 36 b c^{2} d^{2} x^{2} \log{\left(F \right)} - 24 b c d^{3} x^{3} \log{\left(F \right)} - 6 b d^{4} x^{4} \log{\left(F \right)} + 6 c^{6} + 36 c^{5} d x + 90 c^{4} d^{2} x^{2} + 120 c^{3} d^{3} x^{3} + 90 c^{2} d^{4} x^{4} + 36 c d^{5} x^{5} + 6 d^{6} x^{6}\right)}{2 b^{4} c^{6} d \log{\left(F \right)}^{4} + 12 b^{4} c^{5} d^{2} x \log{\left(F \right)}^{4} + 30 b^{4} c^{4} d^{3} x^{2} \log{\left(F \right)}^{4} + 40 b^{4} c^{3} d^{4} x^{3} \log{\left(F \right)}^{4} + 30 b^{4} c^{2} d^{5} x^{4} \log{\left(F \right)}^{4} + 12 b^{4} c d^{6} x^{5} \log{\left(F \right)}^{4} + 2 b^{4} d^{7} x^{6} \log{\left(F \right)}^{4}}"," ",0,"F**(a + b/(c + d*x)**2)*(-b**3*log(F)**3 + 3*b**2*c**2*log(F)**2 + 6*b**2*c*d*x*log(F)**2 + 3*b**2*d**2*x**2*log(F)**2 - 6*b*c**4*log(F) - 24*b*c**3*d*x*log(F) - 36*b*c**2*d**2*x**2*log(F) - 24*b*c*d**3*x**3*log(F) - 6*b*d**4*x**4*log(F) + 6*c**6 + 36*c**5*d*x + 90*c**4*d**2*x**2 + 120*c**3*d**3*x**3 + 90*c**2*d**4*x**4 + 36*c*d**5*x**5 + 6*d**6*x**6)/(2*b**4*c**6*d*log(F)**4 + 12*b**4*c**5*d**2*x*log(F)**4 + 30*b**4*c**4*d**3*x**2*log(F)**4 + 40*b**4*c**3*d**4*x**3*log(F)**4 + 30*b**4*c**2*d**5*x**4*log(F)**4 + 12*b**4*c*d**6*x**5*log(F)**4 + 2*b**4*d**7*x**6*log(F)**4)","B",0
325,1,518,0,0.596630," ","integrate(F**(a+b/(d*x+c)**2)/(d*x+c)**11,x)","\frac{F^{a + \frac{b}{\left(c + d x\right)^{2}}} \left(- b^{4} \log{\left(F \right)}^{4} + 4 b^{3} c^{2} \log{\left(F \right)}^{3} + 8 b^{3} c d x \log{\left(F \right)}^{3} + 4 b^{3} d^{2} x^{2} \log{\left(F \right)}^{3} - 12 b^{2} c^{4} \log{\left(F \right)}^{2} - 48 b^{2} c^{3} d x \log{\left(F \right)}^{2} - 72 b^{2} c^{2} d^{2} x^{2} \log{\left(F \right)}^{2} - 48 b^{2} c d^{3} x^{3} \log{\left(F \right)}^{2} - 12 b^{2} d^{4} x^{4} \log{\left(F \right)}^{2} + 24 b c^{6} \log{\left(F \right)} + 144 b c^{5} d x \log{\left(F \right)} + 360 b c^{4} d^{2} x^{2} \log{\left(F \right)} + 480 b c^{3} d^{3} x^{3} \log{\left(F \right)} + 360 b c^{2} d^{4} x^{4} \log{\left(F \right)} + 144 b c d^{5} x^{5} \log{\left(F \right)} + 24 b d^{6} x^{6} \log{\left(F \right)} - 24 c^{8} - 192 c^{7} d x - 672 c^{6} d^{2} x^{2} - 1344 c^{5} d^{3} x^{3} - 1680 c^{4} d^{4} x^{4} - 1344 c^{3} d^{5} x^{5} - 672 c^{2} d^{6} x^{6} - 192 c d^{7} x^{7} - 24 d^{8} x^{8}\right)}{2 b^{5} c^{8} d \log{\left(F \right)}^{5} + 16 b^{5} c^{7} d^{2} x \log{\left(F \right)}^{5} + 56 b^{5} c^{6} d^{3} x^{2} \log{\left(F \right)}^{5} + 112 b^{5} c^{5} d^{4} x^{3} \log{\left(F \right)}^{5} + 140 b^{5} c^{4} d^{5} x^{4} \log{\left(F \right)}^{5} + 112 b^{5} c^{3} d^{6} x^{5} \log{\left(F \right)}^{5} + 56 b^{5} c^{2} d^{7} x^{6} \log{\left(F \right)}^{5} + 16 b^{5} c d^{8} x^{7} \log{\left(F \right)}^{5} + 2 b^{5} d^{9} x^{8} \log{\left(F \right)}^{5}}"," ",0,"F**(a + b/(c + d*x)**2)*(-b**4*log(F)**4 + 4*b**3*c**2*log(F)**3 + 8*b**3*c*d*x*log(F)**3 + 4*b**3*d**2*x**2*log(F)**3 - 12*b**2*c**4*log(F)**2 - 48*b**2*c**3*d*x*log(F)**2 - 72*b**2*c**2*d**2*x**2*log(F)**2 - 48*b**2*c*d**3*x**3*log(F)**2 - 12*b**2*d**4*x**4*log(F)**2 + 24*b*c**6*log(F) + 144*b*c**5*d*x*log(F) + 360*b*c**4*d**2*x**2*log(F) + 480*b*c**3*d**3*x**3*log(F) + 360*b*c**2*d**4*x**4*log(F) + 144*b*c*d**5*x**5*log(F) + 24*b*d**6*x**6*log(F) - 24*c**8 - 192*c**7*d*x - 672*c**6*d**2*x**2 - 1344*c**5*d**3*x**3 - 1680*c**4*d**4*x**4 - 1344*c**3*d**5*x**5 - 672*c**2*d**6*x**6 - 192*c*d**7*x**7 - 24*d**8*x**8)/(2*b**5*c**8*d*log(F)**5 + 16*b**5*c**7*d**2*x*log(F)**5 + 56*b**5*c**6*d**3*x**2*log(F)**5 + 112*b**5*c**5*d**4*x**3*log(F)**5 + 140*b**5*c**4*d**5*x**4*log(F)**5 + 112*b**5*c**3*d**6*x**5*log(F)**5 + 56*b**5*c**2*d**7*x**6*log(F)**5 + 16*b**5*c*d**8*x**7*log(F)**5 + 2*b**5*d**9*x**8*log(F)**5)","B",0
326,1,745,0,0.832249," ","integrate(F**(a+b/(d*x+c)**2)/(d*x+c)**13,x)","\frac{F^{a + \frac{b}{\left(c + d x\right)^{2}}} \left(- b^{5} \log{\left(F \right)}^{5} + 5 b^{4} c^{2} \log{\left(F \right)}^{4} + 10 b^{4} c d x \log{\left(F \right)}^{4} + 5 b^{4} d^{2} x^{2} \log{\left(F \right)}^{4} - 20 b^{3} c^{4} \log{\left(F \right)}^{3} - 80 b^{3} c^{3} d x \log{\left(F \right)}^{3} - 120 b^{3} c^{2} d^{2} x^{2} \log{\left(F \right)}^{3} - 80 b^{3} c d^{3} x^{3} \log{\left(F \right)}^{3} - 20 b^{3} d^{4} x^{4} \log{\left(F \right)}^{3} + 60 b^{2} c^{6} \log{\left(F \right)}^{2} + 360 b^{2} c^{5} d x \log{\left(F \right)}^{2} + 900 b^{2} c^{4} d^{2} x^{2} \log{\left(F \right)}^{2} + 1200 b^{2} c^{3} d^{3} x^{3} \log{\left(F \right)}^{2} + 900 b^{2} c^{2} d^{4} x^{4} \log{\left(F \right)}^{2} + 360 b^{2} c d^{5} x^{5} \log{\left(F \right)}^{2} + 60 b^{2} d^{6} x^{6} \log{\left(F \right)}^{2} - 120 b c^{8} \log{\left(F \right)} - 960 b c^{7} d x \log{\left(F \right)} - 3360 b c^{6} d^{2} x^{2} \log{\left(F \right)} - 6720 b c^{5} d^{3} x^{3} \log{\left(F \right)} - 8400 b c^{4} d^{4} x^{4} \log{\left(F \right)} - 6720 b c^{3} d^{5} x^{5} \log{\left(F \right)} - 3360 b c^{2} d^{6} x^{6} \log{\left(F \right)} - 960 b c d^{7} x^{7} \log{\left(F \right)} - 120 b d^{8} x^{8} \log{\left(F \right)} + 120 c^{10} + 1200 c^{9} d x + 5400 c^{8} d^{2} x^{2} + 14400 c^{7} d^{3} x^{3} + 25200 c^{6} d^{4} x^{4} + 30240 c^{5} d^{5} x^{5} + 25200 c^{4} d^{6} x^{6} + 14400 c^{3} d^{7} x^{7} + 5400 c^{2} d^{8} x^{8} + 1200 c d^{9} x^{9} + 120 d^{10} x^{10}\right)}{2 b^{6} c^{10} d \log{\left(F \right)}^{6} + 20 b^{6} c^{9} d^{2} x \log{\left(F \right)}^{6} + 90 b^{6} c^{8} d^{3} x^{2} \log{\left(F \right)}^{6} + 240 b^{6} c^{7} d^{4} x^{3} \log{\left(F \right)}^{6} + 420 b^{6} c^{6} d^{5} x^{4} \log{\left(F \right)}^{6} + 504 b^{6} c^{5} d^{6} x^{5} \log{\left(F \right)}^{6} + 420 b^{6} c^{4} d^{7} x^{6} \log{\left(F \right)}^{6} + 240 b^{6} c^{3} d^{8} x^{7} \log{\left(F \right)}^{6} + 90 b^{6} c^{2} d^{9} x^{8} \log{\left(F \right)}^{6} + 20 b^{6} c d^{10} x^{9} \log{\left(F \right)}^{6} + 2 b^{6} d^{11} x^{10} \log{\left(F \right)}^{6}}"," ",0,"F**(a + b/(c + d*x)**2)*(-b**5*log(F)**5 + 5*b**4*c**2*log(F)**4 + 10*b**4*c*d*x*log(F)**4 + 5*b**4*d**2*x**2*log(F)**4 - 20*b**3*c**4*log(F)**3 - 80*b**3*c**3*d*x*log(F)**3 - 120*b**3*c**2*d**2*x**2*log(F)**3 - 80*b**3*c*d**3*x**3*log(F)**3 - 20*b**3*d**4*x**4*log(F)**3 + 60*b**2*c**6*log(F)**2 + 360*b**2*c**5*d*x*log(F)**2 + 900*b**2*c**4*d**2*x**2*log(F)**2 + 1200*b**2*c**3*d**3*x**3*log(F)**2 + 900*b**2*c**2*d**4*x**4*log(F)**2 + 360*b**2*c*d**5*x**5*log(F)**2 + 60*b**2*d**6*x**6*log(F)**2 - 120*b*c**8*log(F) - 960*b*c**7*d*x*log(F) - 3360*b*c**6*d**2*x**2*log(F) - 6720*b*c**5*d**3*x**3*log(F) - 8400*b*c**4*d**4*x**4*log(F) - 6720*b*c**3*d**5*x**5*log(F) - 3360*b*c**2*d**6*x**6*log(F) - 960*b*c*d**7*x**7*log(F) - 120*b*d**8*x**8*log(F) + 120*c**10 + 1200*c**9*d*x + 5400*c**8*d**2*x**2 + 14400*c**7*d**3*x**3 + 25200*c**6*d**4*x**4 + 30240*c**5*d**5*x**5 + 25200*c**4*d**6*x**6 + 14400*c**3*d**7*x**7 + 5400*c**2*d**8*x**8 + 1200*c*d**9*x**9 + 120*d**10*x**10)/(2*b**6*c**10*d*log(F)**6 + 20*b**6*c**9*d**2*x*log(F)**6 + 90*b**6*c**8*d**3*x**2*log(F)**6 + 240*b**6*c**7*d**4*x**3*log(F)**6 + 420*b**6*c**6*d**5*x**4*log(F)**6 + 504*b**6*c**5*d**6*x**5*log(F)**6 + 420*b**6*c**4*d**7*x**6*log(F)**6 + 240*b**6*c**3*d**8*x**7*log(F)**6 + 90*b**6*c**2*d**9*x**8*log(F)**6 + 20*b**6*c*d**10*x**9*log(F)**6 + 2*b**6*d**11*x**10*log(F)**6)","B",0
327,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)*(d*x+c)**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
328,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)*(d*x+c)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
329,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)*(d*x+c)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
330,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)*(d*x+c)**4,x)","\int F^{a + \frac{b}{\left(c + d x\right)^{2}}} \left(c + d x\right)^{4}\, dx"," ",0,"Integral(F**(a + b/(c + d*x)**2)*(c + d*x)**4, x)","F",0
331,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)*(d*x+c)**2,x)","\int F^{a + \frac{b}{\left(c + d x\right)^{2}}} \left(c + d x\right)^{2}\, dx"," ",0,"Integral(F**(a + b/(c + d*x)**2)*(c + d*x)**2, x)","F",0
332,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2),x)","\int F^{a + \frac{b}{\left(c + d x\right)^{2}}}\, dx"," ",0,"Integral(F**(a + b/(c + d*x)**2), x)","F",0
333,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)/(d*x+c)**2,x)","\int \frac{F^{a + \frac{b}{\left(c + d x\right)^{2}}}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(F**(a + b/(c + d*x)**2)/(c + d*x)**2, x)","F",0
334,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)/(d*x+c)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
335,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)/(d*x+c)**6,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
336,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)/(d*x+c)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
337,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)/(d*x+c)**10,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
338,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)/(d*x+c)**12,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
339,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**2)/(d*x+c)**14,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
340,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**3)*(d*x+c)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
341,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**3)*(d*x+c)**14,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
342,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**3)*(d*x+c)**11,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
343,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**3)*(d*x+c)**8,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
344,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**3)*(d*x+c)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
345,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**3)*(d*x+c)**2,x)","\int F^{a + \frac{b}{\left(c + d x\right)^{3}}} \left(c + d x\right)^{2}\, dx"," ",0,"Integral(F**(a + b/(c + d*x)**3)*(c + d*x)**2, x)","F",0
346,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**3)/(d*x+c),x)","\int \frac{F^{a + \frac{b}{\left(c + d x\right)^{3}}}}{c + d x}\, dx"," ",0,"Integral(F**(a + b/(c + d*x)**3)/(c + d*x), x)","F",0
347,1,66,0,0.397912," ","integrate(F**(a+b/(d*x+c)**3)/(d*x+c)**4,x)","\begin{cases} - \frac{F^{a + \frac{b}{\left(c + d x\right)^{3}}}}{3 b d \log{\left(F \right)}} & \text{for}\: 3 b d \log{\left(F \right)} \neq 0 \\- \frac{1}{3 c^{3} d + 9 c^{2} d^{2} x + 9 c d^{3} x^{2} + 3 d^{4} x^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-F**(a + b/(c + d*x)**3)/(3*b*d*log(F)), Ne(3*b*d*log(F), 0)), (-1/(3*c**3*d + 9*c**2*d**2*x + 9*c*d**3*x**2 + 3*d**4*x**3), True))","A",0
348,1,114,0,0.360495," ","integrate(F**(a+b/(d*x+c)**3)/(d*x+c)**7,x)","\frac{F^{a + \frac{b}{\left(c + d x\right)^{3}}} \left(- b \log{\left(F \right)} + c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}\right)}{3 b^{2} c^{3} d \log{\left(F \right)}^{2} + 9 b^{2} c^{2} d^{2} x \log{\left(F \right)}^{2} + 9 b^{2} c d^{3} x^{2} \log{\left(F \right)}^{2} + 3 b^{2} d^{4} x^{3} \log{\left(F \right)}^{2}}"," ",0,"F**(a + b/(c + d*x)**3)*(-b*log(F) + c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3)/(3*b**2*c**3*d*log(F)**2 + 9*b**2*c**2*d**2*x*log(F)**2 + 9*b**2*c*d**3*x**2*log(F)**2 + 3*b**2*d**4*x**3*log(F)**2)","B",0
349,1,270,0,0.489607," ","integrate(F**(a+b/(d*x+c)**3)/(d*x+c)**10,x)","\frac{F^{a + \frac{b}{\left(c + d x\right)^{3}}} \left(- b^{2} \log{\left(F \right)}^{2} + 2 b c^{3} \log{\left(F \right)} + 6 b c^{2} d x \log{\left(F \right)} + 6 b c d^{2} x^{2} \log{\left(F \right)} + 2 b d^{3} x^{3} \log{\left(F \right)} - 2 c^{6} - 12 c^{5} d x - 30 c^{4} d^{2} x^{2} - 40 c^{3} d^{3} x^{3} - 30 c^{2} d^{4} x^{4} - 12 c d^{5} x^{5} - 2 d^{6} x^{6}\right)}{3 b^{3} c^{6} d \log{\left(F \right)}^{3} + 18 b^{3} c^{5} d^{2} x \log{\left(F \right)}^{3} + 45 b^{3} c^{4} d^{3} x^{2} \log{\left(F \right)}^{3} + 60 b^{3} c^{3} d^{4} x^{3} \log{\left(F \right)}^{3} + 45 b^{3} c^{2} d^{5} x^{4} \log{\left(F \right)}^{3} + 18 b^{3} c d^{6} x^{5} \log{\left(F \right)}^{3} + 3 b^{3} d^{7} x^{6} \log{\left(F \right)}^{3}}"," ",0,"F**(a + b/(c + d*x)**3)*(-b**2*log(F)**2 + 2*b*c**3*log(F) + 6*b*c**2*d*x*log(F) + 6*b*c*d**2*x**2*log(F) + 2*b*d**3*x**3*log(F) - 2*c**6 - 12*c**5*d*x - 30*c**4*d**2*x**2 - 40*c**3*d**3*x**3 - 30*c**2*d**4*x**4 - 12*c*d**5*x**5 - 2*d**6*x**6)/(3*b**3*c**6*d*log(F)**3 + 18*b**3*c**5*d**2*x*log(F)**3 + 45*b**3*c**4*d**3*x**2*log(F)**3 + 60*b**3*c**3*d**4*x**3*log(F)**3 + 45*b**3*c**2*d**5*x**4*log(F)**3 + 18*b**3*c*d**6*x**5*log(F)**3 + 3*b**3*d**7*x**6*log(F)**3)","B",0
350,1,484,0,0.652492," ","integrate(F**(a+b/(d*x+c)**3)/(d*x+c)**13,x)","\frac{F^{a + \frac{b}{\left(c + d x\right)^{3}}} \left(- b^{3} \log{\left(F \right)}^{3} + 3 b^{2} c^{3} \log{\left(F \right)}^{2} + 9 b^{2} c^{2} d x \log{\left(F \right)}^{2} + 9 b^{2} c d^{2} x^{2} \log{\left(F \right)}^{2} + 3 b^{2} d^{3} x^{3} \log{\left(F \right)}^{2} - 6 b c^{6} \log{\left(F \right)} - 36 b c^{5} d x \log{\left(F \right)} - 90 b c^{4} d^{2} x^{2} \log{\left(F \right)} - 120 b c^{3} d^{3} x^{3} \log{\left(F \right)} - 90 b c^{2} d^{4} x^{4} \log{\left(F \right)} - 36 b c d^{5} x^{5} \log{\left(F \right)} - 6 b d^{6} x^{6} \log{\left(F \right)} + 6 c^{9} + 54 c^{8} d x + 216 c^{7} d^{2} x^{2} + 504 c^{6} d^{3} x^{3} + 756 c^{5} d^{4} x^{4} + 756 c^{4} d^{5} x^{5} + 504 c^{3} d^{6} x^{6} + 216 c^{2} d^{7} x^{7} + 54 c d^{8} x^{8} + 6 d^{9} x^{9}\right)}{3 b^{4} c^{9} d \log{\left(F \right)}^{4} + 27 b^{4} c^{8} d^{2} x \log{\left(F \right)}^{4} + 108 b^{4} c^{7} d^{3} x^{2} \log{\left(F \right)}^{4} + 252 b^{4} c^{6} d^{4} x^{3} \log{\left(F \right)}^{4} + 378 b^{4} c^{5} d^{5} x^{4} \log{\left(F \right)}^{4} + 378 b^{4} c^{4} d^{6} x^{5} \log{\left(F \right)}^{4} + 252 b^{4} c^{3} d^{7} x^{6} \log{\left(F \right)}^{4} + 108 b^{4} c^{2} d^{8} x^{7} \log{\left(F \right)}^{4} + 27 b^{4} c d^{9} x^{8} \log{\left(F \right)}^{4} + 3 b^{4} d^{10} x^{9} \log{\left(F \right)}^{4}}"," ",0,"F**(a + b/(c + d*x)**3)*(-b**3*log(F)**3 + 3*b**2*c**3*log(F)**2 + 9*b**2*c**2*d*x*log(F)**2 + 9*b**2*c*d**2*x**2*log(F)**2 + 3*b**2*d**3*x**3*log(F)**2 - 6*b*c**6*log(F) - 36*b*c**5*d*x*log(F) - 90*b*c**4*d**2*x**2*log(F) - 120*b*c**3*d**3*x**3*log(F) - 90*b*c**2*d**4*x**4*log(F) - 36*b*c*d**5*x**5*log(F) - 6*b*d**6*x**6*log(F) + 6*c**9 + 54*c**8*d*x + 216*c**7*d**2*x**2 + 504*c**6*d**3*x**3 + 756*c**5*d**4*x**4 + 756*c**4*d**5*x**5 + 504*c**3*d**6*x**6 + 216*c**2*d**7*x**7 + 54*c*d**8*x**8 + 6*d**9*x**9)/(3*b**4*c**9*d*log(F)**4 + 27*b**4*c**8*d**2*x*log(F)**4 + 108*b**4*c**7*d**3*x**2*log(F)**4 + 252*b**4*c**6*d**4*x**3*log(F)**4 + 378*b**4*c**5*d**5*x**4*log(F)**4 + 378*b**4*c**4*d**6*x**5*log(F)**4 + 252*b**4*c**3*d**7*x**6*log(F)**4 + 108*b**4*c**2*d**8*x**7*log(F)**4 + 27*b**4*c*d**9*x**8*log(F)**4 + 3*b**4*d**10*x**9*log(F)**4)","B",0
351,1,760,0,1.085789," ","integrate(F**(a+b/(d*x+c)**3)/(d*x+c)**16,x)","\frac{F^{a + \frac{b}{\left(c + d x\right)^{3}}} \left(- b^{4} \log{\left(F \right)}^{4} + 4 b^{3} c^{3} \log{\left(F \right)}^{3} + 12 b^{3} c^{2} d x \log{\left(F \right)}^{3} + 12 b^{3} c d^{2} x^{2} \log{\left(F \right)}^{3} + 4 b^{3} d^{3} x^{3} \log{\left(F \right)}^{3} - 12 b^{2} c^{6} \log{\left(F \right)}^{2} - 72 b^{2} c^{5} d x \log{\left(F \right)}^{2} - 180 b^{2} c^{4} d^{2} x^{2} \log{\left(F \right)}^{2} - 240 b^{2} c^{3} d^{3} x^{3} \log{\left(F \right)}^{2} - 180 b^{2} c^{2} d^{4} x^{4} \log{\left(F \right)}^{2} - 72 b^{2} c d^{5} x^{5} \log{\left(F \right)}^{2} - 12 b^{2} d^{6} x^{6} \log{\left(F \right)}^{2} + 24 b c^{9} \log{\left(F \right)} + 216 b c^{8} d x \log{\left(F \right)} + 864 b c^{7} d^{2} x^{2} \log{\left(F \right)} + 2016 b c^{6} d^{3} x^{3} \log{\left(F \right)} + 3024 b c^{5} d^{4} x^{4} \log{\left(F \right)} + 3024 b c^{4} d^{5} x^{5} \log{\left(F \right)} + 2016 b c^{3} d^{6} x^{6} \log{\left(F \right)} + 864 b c^{2} d^{7} x^{7} \log{\left(F \right)} + 216 b c d^{8} x^{8} \log{\left(F \right)} + 24 b d^{9} x^{9} \log{\left(F \right)} - 24 c^{12} - 288 c^{11} d x - 1584 c^{10} d^{2} x^{2} - 5280 c^{9} d^{3} x^{3} - 11880 c^{8} d^{4} x^{4} - 19008 c^{7} d^{5} x^{5} - 22176 c^{6} d^{6} x^{6} - 19008 c^{5} d^{7} x^{7} - 11880 c^{4} d^{8} x^{8} - 5280 c^{3} d^{9} x^{9} - 1584 c^{2} d^{10} x^{10} - 288 c d^{11} x^{11} - 24 d^{12} x^{12}\right)}{3 b^{5} c^{12} d \log{\left(F \right)}^{5} + 36 b^{5} c^{11} d^{2} x \log{\left(F \right)}^{5} + 198 b^{5} c^{10} d^{3} x^{2} \log{\left(F \right)}^{5} + 660 b^{5} c^{9} d^{4} x^{3} \log{\left(F \right)}^{5} + 1485 b^{5} c^{8} d^{5} x^{4} \log{\left(F \right)}^{5} + 2376 b^{5} c^{7} d^{6} x^{5} \log{\left(F \right)}^{5} + 2772 b^{5} c^{6} d^{7} x^{6} \log{\left(F \right)}^{5} + 2376 b^{5} c^{5} d^{8} x^{7} \log{\left(F \right)}^{5} + 1485 b^{5} c^{4} d^{9} x^{8} \log{\left(F \right)}^{5} + 660 b^{5} c^{3} d^{10} x^{9} \log{\left(F \right)}^{5} + 198 b^{5} c^{2} d^{11} x^{10} \log{\left(F \right)}^{5} + 36 b^{5} c d^{12} x^{11} \log{\left(F \right)}^{5} + 3 b^{5} d^{13} x^{12} \log{\left(F \right)}^{5}}"," ",0,"F**(a + b/(c + d*x)**3)*(-b**4*log(F)**4 + 4*b**3*c**3*log(F)**3 + 12*b**3*c**2*d*x*log(F)**3 + 12*b**3*c*d**2*x**2*log(F)**3 + 4*b**3*d**3*x**3*log(F)**3 - 12*b**2*c**6*log(F)**2 - 72*b**2*c**5*d*x*log(F)**2 - 180*b**2*c**4*d**2*x**2*log(F)**2 - 240*b**2*c**3*d**3*x**3*log(F)**2 - 180*b**2*c**2*d**4*x**4*log(F)**2 - 72*b**2*c*d**5*x**5*log(F)**2 - 12*b**2*d**6*x**6*log(F)**2 + 24*b*c**9*log(F) + 216*b*c**8*d*x*log(F) + 864*b*c**7*d**2*x**2*log(F) + 2016*b*c**6*d**3*x**3*log(F) + 3024*b*c**5*d**4*x**4*log(F) + 3024*b*c**4*d**5*x**5*log(F) + 2016*b*c**3*d**6*x**6*log(F) + 864*b*c**2*d**7*x**7*log(F) + 216*b*c*d**8*x**8*log(F) + 24*b*d**9*x**9*log(F) - 24*c**12 - 288*c**11*d*x - 1584*c**10*d**2*x**2 - 5280*c**9*d**3*x**3 - 11880*c**8*d**4*x**4 - 19008*c**7*d**5*x**5 - 22176*c**6*d**6*x**6 - 19008*c**5*d**7*x**7 - 11880*c**4*d**8*x**8 - 5280*c**3*d**9*x**9 - 1584*c**2*d**10*x**10 - 288*c*d**11*x**11 - 24*d**12*x**12)/(3*b**5*c**12*d*log(F)**5 + 36*b**5*c**11*d**2*x*log(F)**5 + 198*b**5*c**10*d**3*x**2*log(F)**5 + 660*b**5*c**9*d**4*x**3*log(F)**5 + 1485*b**5*c**8*d**5*x**4*log(F)**5 + 2376*b**5*c**7*d**6*x**5*log(F)**5 + 2772*b**5*c**6*d**7*x**6*log(F)**5 + 2376*b**5*c**5*d**8*x**7*log(F)**5 + 1485*b**5*c**4*d**9*x**8*log(F)**5 + 660*b**5*c**3*d**10*x**9*log(F)**5 + 198*b**5*c**2*d**11*x**10*log(F)**5 + 36*b**5*c*d**12*x**11*log(F)**5 + 3*b**5*d**13*x**12*log(F)**5)","B",0
352,1,1096,0,3.443244," ","integrate(F**(a+b/(d*x+c)**3)/(d*x+c)**19,x)","\frac{F^{a + \frac{b}{\left(c + d x\right)^{3}}} \left(- b^{5} \log{\left(F \right)}^{5} + 5 b^{4} c^{3} \log{\left(F \right)}^{4} + 15 b^{4} c^{2} d x \log{\left(F \right)}^{4} + 15 b^{4} c d^{2} x^{2} \log{\left(F \right)}^{4} + 5 b^{4} d^{3} x^{3} \log{\left(F \right)}^{4} - 20 b^{3} c^{6} \log{\left(F \right)}^{3} - 120 b^{3} c^{5} d x \log{\left(F \right)}^{3} - 300 b^{3} c^{4} d^{2} x^{2} \log{\left(F \right)}^{3} - 400 b^{3} c^{3} d^{3} x^{3} \log{\left(F \right)}^{3} - 300 b^{3} c^{2} d^{4} x^{4} \log{\left(F \right)}^{3} - 120 b^{3} c d^{5} x^{5} \log{\left(F \right)}^{3} - 20 b^{3} d^{6} x^{6} \log{\left(F \right)}^{3} + 60 b^{2} c^{9} \log{\left(F \right)}^{2} + 540 b^{2} c^{8} d x \log{\left(F \right)}^{2} + 2160 b^{2} c^{7} d^{2} x^{2} \log{\left(F \right)}^{2} + 5040 b^{2} c^{6} d^{3} x^{3} \log{\left(F \right)}^{2} + 7560 b^{2} c^{5} d^{4} x^{4} \log{\left(F \right)}^{2} + 7560 b^{2} c^{4} d^{5} x^{5} \log{\left(F \right)}^{2} + 5040 b^{2} c^{3} d^{6} x^{6} \log{\left(F \right)}^{2} + 2160 b^{2} c^{2} d^{7} x^{7} \log{\left(F \right)}^{2} + 540 b^{2} c d^{8} x^{8} \log{\left(F \right)}^{2} + 60 b^{2} d^{9} x^{9} \log{\left(F \right)}^{2} - 120 b c^{12} \log{\left(F \right)} - 1440 b c^{11} d x \log{\left(F \right)} - 7920 b c^{10} d^{2} x^{2} \log{\left(F \right)} - 26400 b c^{9} d^{3} x^{3} \log{\left(F \right)} - 59400 b c^{8} d^{4} x^{4} \log{\left(F \right)} - 95040 b c^{7} d^{5} x^{5} \log{\left(F \right)} - 110880 b c^{6} d^{6} x^{6} \log{\left(F \right)} - 95040 b c^{5} d^{7} x^{7} \log{\left(F \right)} - 59400 b c^{4} d^{8} x^{8} \log{\left(F \right)} - 26400 b c^{3} d^{9} x^{9} \log{\left(F \right)} - 7920 b c^{2} d^{10} x^{10} \log{\left(F \right)} - 1440 b c d^{11} x^{11} \log{\left(F \right)} - 120 b d^{12} x^{12} \log{\left(F \right)} + 120 c^{15} + 1800 c^{14} d x + 12600 c^{13} d^{2} x^{2} + 54600 c^{12} d^{3} x^{3} + 163800 c^{11} d^{4} x^{4} + 360360 c^{10} d^{5} x^{5} + 600600 c^{9} d^{6} x^{6} + 772200 c^{8} d^{7} x^{7} + 772200 c^{7} d^{8} x^{8} + 600600 c^{6} d^{9} x^{9} + 360360 c^{5} d^{10} x^{10} + 163800 c^{4} d^{11} x^{11} + 54600 c^{3} d^{12} x^{12} + 12600 c^{2} d^{13} x^{13} + 1800 c d^{14} x^{14} + 120 d^{15} x^{15}\right)}{3 b^{6} c^{15} d \log{\left(F \right)}^{6} + 45 b^{6} c^{14} d^{2} x \log{\left(F \right)}^{6} + 315 b^{6} c^{13} d^{3} x^{2} \log{\left(F \right)}^{6} + 1365 b^{6} c^{12} d^{4} x^{3} \log{\left(F \right)}^{6} + 4095 b^{6} c^{11} d^{5} x^{4} \log{\left(F \right)}^{6} + 9009 b^{6} c^{10} d^{6} x^{5} \log{\left(F \right)}^{6} + 15015 b^{6} c^{9} d^{7} x^{6} \log{\left(F \right)}^{6} + 19305 b^{6} c^{8} d^{8} x^{7} \log{\left(F \right)}^{6} + 19305 b^{6} c^{7} d^{9} x^{8} \log{\left(F \right)}^{6} + 15015 b^{6} c^{6} d^{10} x^{9} \log{\left(F \right)}^{6} + 9009 b^{6} c^{5} d^{11} x^{10} \log{\left(F \right)}^{6} + 4095 b^{6} c^{4} d^{12} x^{11} \log{\left(F \right)}^{6} + 1365 b^{6} c^{3} d^{13} x^{12} \log{\left(F \right)}^{6} + 315 b^{6} c^{2} d^{14} x^{13} \log{\left(F \right)}^{6} + 45 b^{6} c d^{15} x^{14} \log{\left(F \right)}^{6} + 3 b^{6} d^{16} x^{15} \log{\left(F \right)}^{6}}"," ",0,"F**(a + b/(c + d*x)**3)*(-b**5*log(F)**5 + 5*b**4*c**3*log(F)**4 + 15*b**4*c**2*d*x*log(F)**4 + 15*b**4*c*d**2*x**2*log(F)**4 + 5*b**4*d**3*x**3*log(F)**4 - 20*b**3*c**6*log(F)**3 - 120*b**3*c**5*d*x*log(F)**3 - 300*b**3*c**4*d**2*x**2*log(F)**3 - 400*b**3*c**3*d**3*x**3*log(F)**3 - 300*b**3*c**2*d**4*x**4*log(F)**3 - 120*b**3*c*d**5*x**5*log(F)**3 - 20*b**3*d**6*x**6*log(F)**3 + 60*b**2*c**9*log(F)**2 + 540*b**2*c**8*d*x*log(F)**2 + 2160*b**2*c**7*d**2*x**2*log(F)**2 + 5040*b**2*c**6*d**3*x**3*log(F)**2 + 7560*b**2*c**5*d**4*x**4*log(F)**2 + 7560*b**2*c**4*d**5*x**5*log(F)**2 + 5040*b**2*c**3*d**6*x**6*log(F)**2 + 2160*b**2*c**2*d**7*x**7*log(F)**2 + 540*b**2*c*d**8*x**8*log(F)**2 + 60*b**2*d**9*x**9*log(F)**2 - 120*b*c**12*log(F) - 1440*b*c**11*d*x*log(F) - 7920*b*c**10*d**2*x**2*log(F) - 26400*b*c**9*d**3*x**3*log(F) - 59400*b*c**8*d**4*x**4*log(F) - 95040*b*c**7*d**5*x**5*log(F) - 110880*b*c**6*d**6*x**6*log(F) - 95040*b*c**5*d**7*x**7*log(F) - 59400*b*c**4*d**8*x**8*log(F) - 26400*b*c**3*d**9*x**9*log(F) - 7920*b*c**2*d**10*x**10*log(F) - 1440*b*c*d**11*x**11*log(F) - 120*b*d**12*x**12*log(F) + 120*c**15 + 1800*c**14*d*x + 12600*c**13*d**2*x**2 + 54600*c**12*d**3*x**3 + 163800*c**11*d**4*x**4 + 360360*c**10*d**5*x**5 + 600600*c**9*d**6*x**6 + 772200*c**8*d**7*x**7 + 772200*c**7*d**8*x**8 + 600600*c**6*d**9*x**9 + 360360*c**5*d**10*x**10 + 163800*c**4*d**11*x**11 + 54600*c**3*d**12*x**12 + 12600*c**2*d**13*x**13 + 1800*c*d**14*x**14 + 120*d**15*x**15)/(3*b**6*c**15*d*log(F)**6 + 45*b**6*c**14*d**2*x*log(F)**6 + 315*b**6*c**13*d**3*x**2*log(F)**6 + 1365*b**6*c**12*d**4*x**3*log(F)**6 + 4095*b**6*c**11*d**5*x**4*log(F)**6 + 9009*b**6*c**10*d**6*x**5*log(F)**6 + 15015*b**6*c**9*d**7*x**6*log(F)**6 + 19305*b**6*c**8*d**8*x**7*log(F)**6 + 19305*b**6*c**7*d**9*x**8*log(F)**6 + 15015*b**6*c**6*d**10*x**9*log(F)**6 + 9009*b**6*c**5*d**11*x**10*log(F)**6 + 4095*b**6*c**4*d**12*x**11*log(F)**6 + 1365*b**6*c**3*d**13*x**12*log(F)**6 + 315*b**6*c**2*d**14*x**13*log(F)**6 + 45*b**6*c*d**15*x**14*log(F)**6 + 3*b**6*d**16*x**15*log(F)**6)","B",0
353,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**3)*(d*x+c)**3,x)","\int F^{a + \frac{b}{\left(c + d x\right)^{3}}} \left(c + d x\right)^{3}\, dx"," ",0,"Integral(F**(a + b/(c + d*x)**3)*(c + d*x)**3, x)","F",0
354,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**3)*(d*x+c),x)","\int F^{a + \frac{b}{\left(c + d x\right)^{3}}} \left(c + d x\right)\, dx"," ",0,"Integral(F**(a + b/(c + d*x)**3)*(c + d*x), x)","F",0
355,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**3),x)","\int F^{a + \frac{b}{\left(c + d x\right)^{3}}}\, dx"," ",0,"Integral(F**(a + b/(c + d*x)**3), x)","F",0
356,0,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**3)/(d*x+c)**2,x)","\int \frac{F^{a + \frac{b}{\left(c + d x\right)^{3}}}}{\left(c + d x\right)^{2}}\, dx"," ",0,"Integral(F**(a + b/(c + d*x)**3)/(c + d*x)**2, x)","F",0
357,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**3)/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
358,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c)**3)/(d*x+c)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
359,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
360,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
361,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
362,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c),x)","\begin{cases} F^{a + \frac{b}{c^{2}}} c x & \text{for}\: d = 0 \wedge n = -2 \\F^{a + b c^{n}} c x & \text{for}\: d = 0 \\\int F^{a + \frac{b}{\left(c + d x\right)^{2}}} \left(c + d x\right)\, dx & \text{for}\: n = -2 \\\frac{2 F^{a} F^{b \left(c + d x\right)^{n}} b c^{2} n \left(c + d x\right)^{n} \log{\left(F \right)}}{2 d n + 4 d} + \frac{6 F^{a} F^{b \left(c + d x\right)^{n}} b c^{2} \left(c + d x\right)^{n} \log{\left(F \right)}}{2 d n + 4 d} - \frac{2 F^{a} F^{b \left(c + d x\right)^{n}} b c d n x \left(c + d x\right)^{n} \log{\left(F \right)}}{2 d n + 4 d} - \frac{F^{a} F^{b \left(c + d x\right)^{n}} b d^{2} n x^{2} \left(c + d x\right)^{n} \log{\left(F \right)}}{2 d n + 4 d} - \frac{2 F^{a} F^{b \left(c + d x\right)^{n}} c^{2} n}{2 d n + 4 d} - \frac{4 F^{a} F^{b \left(c + d x\right)^{n}} c^{2}}{2 d n + 4 d} + \frac{2 F^{a} F^{b \left(c + d x\right)^{n}} c d n x}{2 d n + 4 d} + \frac{4 F^{a} F^{b \left(c + d x\right)^{n}} c d x}{2 d n + 4 d} + \frac{F^{a} F^{b \left(c + d x\right)^{n}} d^{2} n x^{2}}{2 d n + 4 d} + \frac{2 F^{a} F^{b \left(c + d x\right)^{n}} d^{2} x^{2}}{2 d n + 4 d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b/c**2)*c*x, Eq(d, 0) & Eq(n, -2)), (F**(a + b*c**n)*c*x, Eq(d, 0)), (Integral(F**(a + b/(c + d*x)**2)*(c + d*x), x), Eq(n, -2)), (2*F**a*F**(b*(c + d*x)**n)*b*c**2*n*(c + d*x)**n*log(F)/(2*d*n + 4*d) + 6*F**a*F**(b*(c + d*x)**n)*b*c**2*(c + d*x)**n*log(F)/(2*d*n + 4*d) - 2*F**a*F**(b*(c + d*x)**n)*b*c*d*n*x*(c + d*x)**n*log(F)/(2*d*n + 4*d) - F**a*F**(b*(c + d*x)**n)*b*d**2*n*x**2*(c + d*x)**n*log(F)/(2*d*n + 4*d) - 2*F**a*F**(b*(c + d*x)**n)*c**2*n/(2*d*n + 4*d) - 4*F**a*F**(b*(c + d*x)**n)*c**2/(2*d*n + 4*d) + 2*F**a*F**(b*(c + d*x)**n)*c*d*n*x/(2*d*n + 4*d) + 4*F**a*F**(b*(c + d*x)**n)*c*d*x/(2*d*n + 4*d) + F**a*F**(b*(c + d*x)**n)*d**2*n*x**2/(2*d*n + 4*d) + 2*F**a*F**(b*(c + d*x)**n)*d**2*x**2/(2*d*n + 4*d), True))","F",0
363,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n),x)","\begin{cases} F^{a + \frac{b}{c}} x & \text{for}\: d = 0 \wedge n = -1 \\F^{a + b c^{n}} x & \text{for}\: d = 0 \\\int F^{a + \frac{b}{c + d x}}\, dx & \text{for}\: n = -1 \\\frac{F^{a} F^{b \left(c + d x\right)^{n}} b c n \left(c + d x\right)^{n} \log{\left(F \right)}}{d n + d} + \frac{2 F^{a} F^{b \left(c + d x\right)^{n}} b c \left(c + d x\right)^{n} \log{\left(F \right)}}{d n + d} - \frac{F^{a} F^{b \left(c + d x\right)^{n}} b d n x \left(c + d x\right)^{n} \log{\left(F \right)}}{d n + d} - \frac{F^{a} F^{b \left(c + d x\right)^{n}} c n}{d n + d} - \frac{F^{a} F^{b \left(c + d x\right)^{n}} c}{d n + d} + \frac{F^{a} F^{b \left(c + d x\right)^{n}} d n x}{d n + d} + \frac{F^{a} F^{b \left(c + d x\right)^{n}} d x}{d n + d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b/c)*x, Eq(d, 0) & Eq(n, -1)), (F**(a + b*c**n)*x, Eq(d, 0)), (Integral(F**(a + b/(c + d*x)), x), Eq(n, -1)), (F**a*F**(b*(c + d*x)**n)*b*c*n*(c + d*x)**n*log(F)/(d*n + d) + 2*F**a*F**(b*(c + d*x)**n)*b*c*(c + d*x)**n*log(F)/(d*n + d) - F**a*F**(b*(c + d*x)**n)*b*d*n*x*(c + d*x)**n*log(F)/(d*n + d) - F**a*F**(b*(c + d*x)**n)*c*n/(d*n + d) - F**a*F**(b*(c + d*x)**n)*c/(d*n + d) + F**a*F**(b*(c + d*x)**n)*d*n*x/(d*n + d) + F**a*F**(b*(c + d*x)**n)*d*x/(d*n + d), True))","F",0
364,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)/(d*x+c),x)","\int \frac{F^{a + b \left(c + d x\right)^{n}}}{c + d x}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**n)/(c + d*x), x)","F",0
365,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)/(d*x+c)**2,x)","\begin{cases} \frac{\tilde{\infty} F^{a}}{x} & \text{for}\: c = 0 \wedge d = 0 \wedge n = 1 \\\tilde{\infty} F^{0^{n} b + a} x & \text{for}\: c = - d x \\\frac{F^{a + b c^{n}} x}{c^{2}} & \text{for}\: d = 0 \\\int \frac{F^{a + b \left(c + d x\right)}}{\left(c + d x\right)^{2}}\, dx & \text{for}\: n = 1 \\\frac{F^{a} F^{b \left(c + d x\right)^{n}} b n \left(c + d x\right)^{n} \log{\left(F \right)}}{c d n - c d + d^{2} n x - d^{2} x} - \frac{F^{a} F^{b \left(c + d x\right)^{n}} n}{c d n - c d + d^{2} n x - d^{2} x} + \frac{F^{a} F^{b \left(c + d x\right)^{n}}}{c d n - c d + d^{2} n x - d^{2} x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*F**a/x, Eq(c, 0) & Eq(d, 0) & Eq(n, 1)), (zoo*F**(0**n*b + a)*x, Eq(c, -d*x)), (F**(a + b*c**n)*x/c**2, Eq(d, 0)), (Integral(F**(a + b*(c + d*x))/(c + d*x)**2, x), Eq(n, 1)), (F**a*F**(b*(c + d*x)**n)*b*n*(c + d*x)**n*log(F)/(c*d*n - c*d + d**2*n*x - d**2*x) - F**a*F**(b*(c + d*x)**n)*n/(c*d*n - c*d + d**2*n*x - d**2*x) + F**a*F**(b*(c + d*x)**n)/(c*d*n - c*d + d**2*n*x - d**2*x), True))","F",0
366,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)/(d*x+c)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
367,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)/(d*x+c)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
368,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c)**(-1+6*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
369,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c)**(-1+5*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
370,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c)**(-1+4*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
371,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c)**(-1+3*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
372,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c)**(-1+2*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
373,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c)**(-1+n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
374,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)/(d*x+c),x)","\int \frac{F^{a + b \left(c + d x\right)^{n}}}{c + d x}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**n)/(c + d*x), x)","F",0
375,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c)**(-1-n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
376,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c)**(-1-2*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
377,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c)**(-1-3*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
378,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c)**(-1-4*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
379,-1,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**n)*(d*x+c)**(-1-5*n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
380,0,0,0,0.000000," ","integrate(F**(c*(b*x+a)**n)*(b*x+a)**(-1+1/2*n),x)","\int F^{c \left(a + b x\right)^{n}} \left(a + b x\right)^{\frac{n}{2} - 1}\, dx"," ",0,"Integral(F**(c*(a + b*x)**n)*(a + b*x)**(n/2 - 1), x)","F",0
381,-1,0,0,0.000000," ","integrate((b*x+a)**(-1+1/2*n)/(F**(c*(b*x+a)**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
382,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)*(f*x+e)**5,x)","\int F^{a + b \left(c + d x\right)^{2}} \left(e + f x\right)^{5}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)*(e + f*x)**5, x)","F",0
383,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)*(f*x+e)**4,x)","\int F^{a + b \left(c + d x\right)^{2}} \left(e + f x\right)^{4}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)*(e + f*x)**4, x)","F",0
384,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)*(f*x+e)**3,x)","\int F^{a + b \left(c + d x\right)^{2}} \left(e + f x\right)^{3}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)*(e + f*x)**3, x)","F",0
385,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)*(f*x+e)**2,x)","\int F^{a + b \left(c + d x\right)^{2}} \left(e + f x\right)^{2}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)*(e + f*x)**2, x)","F",0
386,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)*(f*x+e),x)","\int F^{a + b \left(c + d x\right)^{2}} \left(e + f x\right)\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)*(e + f*x), x)","F",0
387,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2),x)","\int F^{a + b \left(c + d x\right)^{2}}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2), x)","F",0
388,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(f*x+e),x)","\int \frac{F^{a + b \left(c + d x\right)^{2}}}{e + f x}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)/(e + f*x), x)","F",0
389,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(f*x+e)**2,x)","\int \frac{F^{a + b \left(c + d x\right)^{2}}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)/(e + f*x)**2, x)","F",0
390,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c)**2)/(f*x+e)**3,x)","\int \frac{F^{a + b \left(c + d x\right)^{2}}}{\left(e + f x\right)^{3}}\, dx"," ",0,"Integral(F**(a + b*(c + d*x)**2)/(e + f*x)**3, x)","F",0
391,-1,0,0,0.000000," ","integrate(exp(e*(d*x+c)**3)*(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
392,0,0,0,0.000000," ","integrate(exp(e*(d*x+c)**3)*(b*x+a)**2,x)","\left(\int a^{2} e^{d^{3} e x^{3}} e^{3 c d^{2} e x^{2}} e^{3 c^{2} d e x}\, dx + \int b^{2} x^{2} e^{d^{3} e x^{3}} e^{3 c d^{2} e x^{2}} e^{3 c^{2} d e x}\, dx + \int 2 a b x e^{d^{3} e x^{3}} e^{3 c d^{2} e x^{2}} e^{3 c^{2} d e x}\, dx\right) e^{c^{3} e}"," ",0,"(Integral(a**2*exp(d**3*e*x**3)*exp(3*c*d**2*e*x**2)*exp(3*c**2*d*e*x), x) + Integral(b**2*x**2*exp(d**3*e*x**3)*exp(3*c*d**2*e*x**2)*exp(3*c**2*d*e*x), x) + Integral(2*a*b*x*exp(d**3*e*x**3)*exp(3*c*d**2*e*x**2)*exp(3*c**2*d*e*x), x))*exp(c**3*e)","F",0
393,0,0,0,0.000000," ","integrate(exp(e*(d*x+c)**3)*(b*x+a),x)","\left(\int a e^{d^{3} e x^{3}} e^{3 c d^{2} e x^{2}} e^{3 c^{2} d e x}\, dx + \int b x e^{d^{3} e x^{3}} e^{3 c d^{2} e x^{2}} e^{3 c^{2} d e x}\, dx\right) e^{c^{3} e}"," ",0,"(Integral(a*exp(d**3*e*x**3)*exp(3*c*d**2*e*x**2)*exp(3*c**2*d*e*x), x) + Integral(b*x*exp(d**3*e*x**3)*exp(3*c*d**2*e*x**2)*exp(3*c**2*d*e*x), x))*exp(c**3*e)","F",0
394,0,0,0,0.000000," ","integrate(exp(e*(d*x+c)**3),x)","e^{c^{3} e} \int e^{d^{3} e x^{3}} e^{3 c d^{2} e x^{2}} e^{3 c^{2} d e x}\, dx"," ",0,"exp(c**3*e)*Integral(exp(d**3*e*x**3)*exp(3*c*d**2*e*x**2)*exp(3*c**2*d*e*x), x)","F",0
395,0,0,0,0.000000," ","integrate(exp(e*(d*x+c)**3)/(b*x+a),x)","e^{c^{3} e} \int \frac{e^{d^{3} e x^{3}} e^{3 c d^{2} e x^{2}} e^{3 c^{2} d e x}}{a + b x}\, dx"," ",0,"exp(c**3*e)*Integral(exp(d**3*e*x**3)*exp(3*c*d**2*e*x**2)*exp(3*c**2*d*e*x)/(a + b*x), x)","F",0
396,0,0,0,0.000000," ","integrate(exp(e*(d*x+c)**3)/(b*x+a)**2,x)","e^{c^{3} e} \int \frac{e^{d^{3} e x^{3}} e^{3 c d^{2} e x^{2}} e^{3 c^{2} d e x}}{a^{2} + 2 a b x + b^{2} x^{2}}\, dx"," ",0,"exp(c**3*e)*Integral(exp(d**3*e*x**3)*exp(3*c*d**2*e*x**2)*exp(3*c**2*d*e*x)/(a**2 + 2*a*b*x + b**2*x**2), x)","F",0
397,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c))/(f*x+e),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
398,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c))/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
399,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c))/(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
400,-1,0,0,0.000000," ","integrate(F**(a+b/(d*x+c))/(f*x+e)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
401,0,0,0,0.000000," ","integrate(exp(e/(d*x+c))*(b*x+a)**4,x)","\int \left(a + b x\right)^{4} e^{\frac{e}{c + d x}}\, dx"," ",0,"Integral((a + b*x)**4*exp(e/(c + d*x)), x)","F",0
402,0,0,0,0.000000," ","integrate(exp(e/(d*x+c))*(b*x+a)**3,x)","\int \left(a + b x\right)^{3} e^{\frac{e}{c + d x}}\, dx"," ",0,"Integral((a + b*x)**3*exp(e/(c + d*x)), x)","F",0
403,0,0,0,0.000000," ","integrate(exp(e/(d*x+c))*(b*x+a)**2,x)","\int \left(a + b x\right)^{2} e^{\frac{e}{c + d x}}\, dx"," ",0,"Integral((a + b*x)**2*exp(e/(c + d*x)), x)","F",0
404,0,0,0,0.000000," ","integrate(exp(e/(d*x+c))*(b*x+a),x)","\int \left(a + b x\right) e^{\frac{e}{c + d x}}\, dx"," ",0,"Integral((a + b*x)*exp(e/(c + d*x)), x)","F",0
405,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)),x)","\int e^{\frac{e}{c + d x}}\, dx"," ",0,"Integral(exp(e/(c + d*x)), x)","F",0
406,0,0,0,0.000000," ","integrate(exp(e/(d*x+c))/(b*x+a),x)","\int \frac{e^{\frac{e}{c + d x}}}{a + b x}\, dx"," ",0,"Integral(exp(e/(c + d*x))/(a + b*x), x)","F",0
407,0,0,0,0.000000," ","integrate(exp(e/(d*x+c))/(b*x+a)**2,x)","\int \frac{e^{\frac{e}{c + d x}}}{\left(a + b x\right)^{2}}\, dx"," ",0,"Integral(exp(e/(c + d*x))/(a + b*x)**2, x)","F",0
408,0,0,0,0.000000," ","integrate(exp(e/(d*x+c))/(b*x+a)**3,x)","\int \frac{e^{\frac{e}{c + d x}}}{\left(a + b x\right)^{3}}\, dx"," ",0,"Integral(exp(e/(c + d*x))/(a + b*x)**3, x)","F",0
409,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)**2)*(b*x+a)**3,x)","\int \left(a + b x\right)^{3} e^{\frac{e}{c^{2} + 2 c d x + d^{2} x^{2}}}\, dx"," ",0,"Integral((a + b*x)**3*exp(e/(c**2 + 2*c*d*x + d**2*x**2)), x)","F",0
410,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)**2)*(b*x+a)**2,x)","\int \left(a + b x\right)^{2} e^{\frac{e}{c^{2} + 2 c d x + d^{2} x^{2}}}\, dx"," ",0,"Integral((a + b*x)**2*exp(e/(c**2 + 2*c*d*x + d**2*x**2)), x)","F",0
411,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)**2)*(b*x+a),x)","\int \left(a + b x\right) e^{\frac{e}{c^{2} + 2 c d x + d^{2} x^{2}}}\, dx"," ",0,"Integral((a + b*x)*exp(e/(c**2 + 2*c*d*x + d**2*x**2)), x)","F",0
412,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)**2),x)","\int e^{\frac{e}{\left(c + d x\right)^{2}}}\, dx"," ",0,"Integral(exp(e/(c + d*x)**2), x)","F",0
413,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)**2)/(b*x+a),x)","\int \frac{e^{\frac{e}{c^{2} + 2 c d x + d^{2} x^{2}}}}{a + b x}\, dx"," ",0,"Integral(exp(e/(c**2 + 2*c*d*x + d**2*x**2))/(a + b*x), x)","F",0
414,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)**2)/(b*x+a)**2,x)","\int \frac{e^{\frac{e}{c^{2} + 2 c d x + d^{2} x^{2}}}}{\left(a + b x\right)^{2}}\, dx"," ",0,"Integral(exp(e/(c**2 + 2*c*d*x + d**2*x**2))/(a + b*x)**2, x)","F",0
415,-1,0,0,0.000000," ","integrate(exp(e/(d*x+c)**2)/(b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
416,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)**3)*(b*x+a)**3,x)","\int \left(a + b x\right)^{3} e^{\frac{e}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}}\, dx"," ",0,"Integral((a + b*x)**3*exp(e/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3)), x)","F",0
417,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)**3)*(b*x+a)**2,x)","\int \left(a + b x\right)^{2} e^{\frac{e}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}}\, dx"," ",0,"Integral((a + b*x)**2*exp(e/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3)), x)","F",0
418,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)**3)*(b*x+a),x)","\int \left(a + b x\right) e^{\frac{e}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}}\, dx"," ",0,"Integral((a + b*x)*exp(e/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3)), x)","F",0
419,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)**3),x)","\int e^{\frac{e}{\left(c + d x\right)^{3}}}\, dx"," ",0,"Integral(exp(e/(c + d*x)**3), x)","F",0
420,0,0,0,0.000000," ","integrate(exp(e/(d*x+c)**3)/(b*x+a),x)","\int \frac{e^{\frac{e}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}}}{a + b x}\, dx"," ",0,"Integral(exp(e/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3))/(a + b*x), x)","F",0
421,-1,0,0,0.000000," ","integrate(exp(e/(d*x+c)**3)/(b*x+a)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
422,-1,0,0,0.000000," ","integrate(F**(e+f*(b*x+a)/(d*x+c))/(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
423,-1,0,0,0.000000," ","integrate(F**(e+f*(b*x+a)/(d*x+c))/(h*x+g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
424,-1,0,0,0.000000," ","integrate(F**(e+f*(b*x+a)/(d*x+c))/(h*x+g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
425,-1,0,0,0.000000," ","integrate(F**(e+f*(b*x+a)/(d*x+c))/(h*x+g)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
426,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*x**3,x)","\int f^{a + b x + c x^{2}} x^{3}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*x**3, x)","F",0
427,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*x**2,x)","\int f^{a + b x + c x^{2}} x^{2}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*x**2, x)","F",0
428,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*x,x)","\int f^{a + b x + c x^{2}} x\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*x, x)","F",0
429,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a),x)","\int f^{a + b x + c x^{2}}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2), x)","F",0
430,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)/x,x)","\int \frac{f^{a + b x + c x^{2}}}{x}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)/x, x)","F",0
431,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)/x**2,x)","\int \frac{f^{a + b x + c x^{2}}}{x^{2}}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)/x**2, x)","F",0
432,0,0,0,0.000000," ","integrate(exp(-c*x**2+b*x+a)*x**3,x)","e^{a} \int x^{3} e^{b x} e^{- c x^{2}}\, dx"," ",0,"exp(a)*Integral(x**3*exp(b*x)*exp(-c*x**2), x)","F",0
433,0,0,0,0.000000," ","integrate(exp(-c*x**2+b*x+a)*x**2,x)","e^{a} \int x^{2} e^{b x} e^{- c x^{2}}\, dx"," ",0,"exp(a)*Integral(x**2*exp(b*x)*exp(-c*x**2), x)","F",0
434,0,0,0,0.000000," ","integrate(exp(-c*x**2+b*x+a)*x,x)","e^{a} \int x e^{b x} e^{- c x^{2}}\, dx"," ",0,"exp(a)*Integral(x*exp(b*x)*exp(-c*x**2), x)","F",0
435,1,41,0,0.704810," ","integrate(exp(-c*x**2+b*x+a),x)","\frac{\sqrt{\pi} \sqrt{- \frac{1}{c}} e^{a + \frac{b^{2}}{4 c}} \operatorname{erfi}{\left(\frac{b - 2 c x}{2 \sqrt{- c}} \right)}}{2}"," ",0,"sqrt(pi)*sqrt(-1/c)*exp(a + b**2/(4*c))*erfi((b - 2*c*x)/(2*sqrt(-c)))/2","A",0
436,0,0,0,0.000000," ","integrate(exp(-c*x**2+b*x+a)/x,x)","e^{a} \int \frac{e^{b x} e^{- c x^{2}}}{x}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*exp(-c*x**2)/x, x)","F",0
437,0,0,0,0.000000," ","integrate(exp(-c*x**2+b*x+a)/x**2,x)","e^{a} \int \frac{e^{b x} e^{- c x^{2}}}{x^{2}}\, dx"," ",0,"exp(a)*Integral(exp(b*x)*exp(-c*x**2)/x**2, x)","F",0
438,-1,0,0,0.000000," ","integrate(exp((b*x+a)*(d*x+c))*x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
439,0,0,0,0.000000," ","integrate(exp((b*x+a)*(d*x+c))*x**2,x)","e^{a c} \int x^{2} e^{a d x} e^{b c x} e^{b d x^{2}}\, dx"," ",0,"exp(a*c)*Integral(x**2*exp(a*d*x)*exp(b*c*x)*exp(b*d*x**2), x)","F",0
440,0,0,0,0.000000," ","integrate(exp((b*x+a)*(d*x+c))*x,x)","e^{a c} \int x e^{a d x} e^{b c x} e^{b d x^{2}}\, dx"," ",0,"exp(a*c)*Integral(x*exp(a*d*x)*exp(b*c*x)*exp(b*d*x**2), x)","F",0
441,0,0,0,0.000000," ","integrate(exp((b*x+a)*(d*x+c)),x)","e^{a c} \int e^{a d x} e^{b c x} e^{b d x^{2}}\, dx"," ",0,"exp(a*c)*Integral(exp(a*d*x)*exp(b*c*x)*exp(b*d*x**2), x)","F",0
442,0,0,0,0.000000," ","integrate(exp((b*x+a)*(d*x+c))/x,x)","e^{a c} \int \frac{e^{a d x} e^{b c x} e^{b d x^{2}}}{x}\, dx"," ",0,"exp(a*c)*Integral(exp(a*d*x)*exp(b*c*x)*exp(b*d*x**2)/x, x)","F",0
443,0,0,0,0.000000," ","integrate(exp((b*x+a)*(d*x+c))/x**2,x)","e^{a c} \int \frac{e^{a d x} e^{b c x} e^{b d x^{2}}}{x^{2}}\, dx"," ",0,"exp(a*c)*Integral(exp(a*d*x)*exp(b*c*x)*exp(b*d*x**2)/x**2, x)","F",0
444,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*(e*x+d)**3,x)","\int f^{a + b x + c x^{2}} \left(d + e x\right)^{3}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*(d + e*x)**3, x)","F",0
445,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*(e*x+d)**2,x)","\int f^{a + b x + c x^{2}} \left(d + e x\right)^{2}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*(d + e*x)**2, x)","F",0
446,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*(e*x+d),x)","\int f^{a + b x + c x^{2}} \left(d + e x\right)\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*(d + e*x), x)","F",0
447,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)/(e*x+d),x)","\int \frac{f^{a + b x + c x^{2}}}{d + e x}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)/(d + e*x), x)","F",0
448,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)/(e*x+d)**2,x)","\int \frac{f^{a + b x + c x^{2}}}{\left(d + e x\right)^{2}}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)/(d + e*x)**2, x)","F",0
449,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)/(e*x+d)**3,x)","\int \frac{f^{a + b x + c x^{2}}}{\left(d + e x\right)^{3}}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)/(d + e*x)**3, x)","F",0
450,1,85,0,0.166849," ","integrate(f**(c*x**2+b*x+a)*(2*c*x+b)**3,x)","\begin{cases} \frac{f^{a + b x + c x^{2}} \left(b^{2} \log{\left(f \right)} + 4 b c x \log{\left(f \right)} + 4 c^{2} x^{2} \log{\left(f \right)} - 4 c\right)}{\log{\left(f \right)}^{2}} & \text{for}\: \log{\left(f \right)}^{2} \neq 0 \\b^{3} x + 3 b^{2} c x^{2} + 4 b c^{2} x^{3} + 2 c^{3} x^{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(a + b*x + c*x**2)*(b**2*log(f) + 4*b*c*x*log(f) + 4*c**2*x**2*log(f) - 4*c)/log(f)**2, Ne(log(f)**2, 0)), (b**3*x + 3*b**2*c*x**2 + 4*b*c**2*x**3 + 2*c**3*x**4, True))","A",0
451,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)*(2*c*x+b)**2,x)","\int f^{a + b x + c x^{2}} \left(b + 2 c x\right)^{2}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)*(b + 2*c*x)**2, x)","F",0
452,1,24,0,0.122954," ","integrate(f**(c*x**2+b*x+a)*(2*c*x+b),x)","\begin{cases} \frac{f^{a + b x + c x^{2}}}{\log{\left(f \right)}} & \text{for}\: \log{\left(f \right)} \neq 0 \\b x + c x^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(a + b*x + c*x**2)/log(f), Ne(log(f), 0)), (b*x + c*x**2, True))","A",0
453,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)/(2*c*x+b),x)","\int \frac{f^{a + b x + c x^{2}}}{b + 2 c x}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)/(b + 2*c*x), x)","F",0
454,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)/(2*c*x+b)**2,x)","\int \frac{f^{a + b x + c x^{2}}}{\left(b + 2 c x\right)^{2}}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)/(b + 2*c*x)**2, x)","F",0
455,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x+a)/(2*c*x+b)**3,x)","\int \frac{f^{a + b x + c x^{2}}}{\left(b + 2 c x\right)^{3}}\, dx"," ",0,"Integral(f**(a + b*x + c*x**2)/(b + 2*c*x)**3, x)","F",0
456,1,83,0,0.165728," ","integrate(f**(c*x**2+b*x)*(2*c*x+b)**3,x)","\begin{cases} \frac{f^{b x + c x^{2}} \left(b^{2} \log{\left(f \right)} + 4 b c x \log{\left(f \right)} + 4 c^{2} x^{2} \log{\left(f \right)} - 4 c\right)}{\log{\left(f \right)}^{2}} & \text{for}\: \log{\left(f \right)}^{2} \neq 0 \\b^{3} x + 3 b^{2} c x^{2} + 4 b c^{2} x^{3} + 2 c^{3} x^{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(b*x + c*x**2)*(b**2*log(f) + 4*b*c*x*log(f) + 4*c**2*x**2*log(f) - 4*c)/log(f)**2, Ne(log(f)**2, 0)), (b**3*x + 3*b**2*c*x**2 + 4*b*c**2*x**3 + 2*c**3*x**4, True))","A",0
457,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x)*(2*c*x+b)**2,x)","\int f^{b x + c x^{2}} \left(b + 2 c x\right)^{2}\, dx"," ",0,"Integral(f**(b*x + c*x**2)*(b + 2*c*x)**2, x)","F",0
458,1,22,0,0.121423," ","integrate(f**(c*x**2+b*x)*(2*c*x+b),x)","\begin{cases} \frac{f^{b x + c x^{2}}}{\log{\left(f \right)}} & \text{for}\: \log{\left(f \right)} \neq 0 \\b x + c x^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((f**(b*x + c*x**2)/log(f), Ne(log(f), 0)), (b*x + c*x**2, True))","A",0
459,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x)/(2*c*x+b),x)","\int \frac{f^{b x + c x^{2}}}{b + 2 c x}\, dx"," ",0,"Integral(f**(b*x + c*x**2)/(b + 2*c*x), x)","F",0
460,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x)/(2*c*x+b)**2,x)","\int \frac{f^{b x + c x^{2}}}{\left(b + 2 c x\right)^{2}}\, dx"," ",0,"Integral(f**(b*x + c*x**2)/(b + 2*c*x)**2, x)","F",0
461,0,0,0,0.000000," ","integrate(f**(c*x**2+b*x)/(2*c*x+b)**3,x)","\int \frac{f^{b x + c x^{2}}}{\left(b + 2 c x\right)^{3}}\, dx"," ",0,"Integral(f**(b*x + c*x**2)/(b + 2*c*x)**3, x)","F",0
462,0,0,0,0.000000," ","integrate(exp(b*x+a)/x**2/(d*x**2+c),x)","e^{a} \int \frac{e^{b x}}{c x^{2} + d x^{4}}\, dx"," ",0,"exp(a)*Integral(exp(b*x)/(c*x**2 + d*x**4), x)","F",0
463,0,0,0,0.000000," ","integrate(exp(b*x+a)/x/(d*x**2+c),x)","e^{a} \int \frac{e^{b x}}{c x + d x^{3}}\, dx"," ",0,"exp(a)*Integral(exp(b*x)/(c*x + d*x**3), x)","F",0
464,0,0,0,0.000000," ","integrate(exp(b*x+a)/(d*x**2+c),x)","e^{a} \int \frac{e^{b x}}{c + d x^{2}}\, dx"," ",0,"exp(a)*Integral(exp(b*x)/(c + d*x**2), x)","F",0
465,0,0,0,0.000000," ","integrate(exp(b*x+a)*x/(d*x**2+c),x)","e^{a} \int \frac{x e^{b x}}{c + d x^{2}}\, dx"," ",0,"exp(a)*Integral(x*exp(b*x)/(c + d*x**2), x)","F",0
466,0,0,0,0.000000," ","integrate(exp(b*x+a)*x**2/(d*x**2+c),x)","e^{a} \int \frac{x^{2} e^{b x}}{c + d x^{2}}\, dx"," ",0,"exp(a)*Integral(x**2*exp(b*x)/(c + d*x**2), x)","F",0
467,-1,0,0,0.000000," ","integrate(exp(e*x+d)/x**2/(c*x**2+b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
468,0,0,0,0.000000," ","integrate(exp(e*x+d)/x/(c*x**2+b*x+a),x)","e^{d} \int \frac{e^{e x}}{a x + b x^{2} + c x^{3}}\, dx"," ",0,"exp(d)*Integral(exp(e*x)/(a*x + b*x**2 + c*x**3), x)","F",0
469,0,0,0,0.000000," ","integrate(exp(e*x+d)/(c*x**2+b*x+a),x)","e^{d} \int \frac{e^{e x}}{a + b x + c x^{2}}\, dx"," ",0,"exp(d)*Integral(exp(e*x)/(a + b*x + c*x**2), x)","F",0
470,0,0,0,0.000000," ","integrate(exp(e*x+d)*x/(c*x**2+b*x+a),x)","e^{d} \int \frac{x e^{e x}}{a + b x + c x^{2}}\, dx"," ",0,"exp(d)*Integral(x*exp(e*x)/(a + b*x + c*x**2), x)","F",0
471,0,0,0,0.000000," ","integrate(exp(e*x+d)*x**2/(c*x**2+b*x+a),x)","e^{d} \int \frac{x^{2} e^{e x}}{a + b x + c x^{2}}\, dx"," ",0,"exp(d)*Integral(x**2*exp(e*x)/(a + b*x + c*x**2), x)","F",0
472,0,0,0,0.000000," ","integrate(exp(e*x+d)*x**3/(c*x**2+b*x+a),x)","e^{d} \int \frac{x^{3} e^{e x}}{a + b x + c x^{2}}\, dx"," ",0,"exp(d)*Integral(x**3*exp(e*x)/(a + b*x + c*x**2), x)","F",0
473,1,41,0,0.294113," ","integrate(4**x/(a+2**x*b),x)","- \frac{a \log{\left(\frac{a}{b} + e^{\frac{x \log{\left(4 \right)}}{2}} \right)}}{b^{2} \log{\left(2 \right)}} + \begin{cases} \frac{e^{\frac{x \log{\left(4 \right)}}{2}}}{b \log{\left(2 \right)}} & \text{for}\: b \log{\left(2 \right)} \neq 0 \\\frac{x}{b} & \text{otherwise} \end{cases}"," ",0,"-a*log(a/b + exp(x*log(4)/2))/(b**2*log(2)) + Piecewise((exp(x*log(4)/2)/(b*log(2)), Ne(b*log(2), 0)), (x/b, True))","A",0
474,1,31,0,0.155654," ","integrate(2**(2*x)/(a+2**x*b),x)","- \frac{a \log{\left(2^{x} + \frac{a}{b} \right)}}{b^{2} \log{\left(2 \right)}} + \begin{cases} \frac{2^{x}}{b \log{\left(2 \right)}} & \text{for}\: b \log{\left(2 \right)} \neq 0 \\\frac{x}{b} & \text{otherwise} \end{cases}"," ",0,"-a*log(2**x + a/b)/(b**2*log(2)) + Piecewise((2**x/(b*log(2)), Ne(b*log(2), 0)), (x/b, True))","A",0
475,1,44,0,0.302502," ","integrate(4**x/(a-2**x*b),x)","- \frac{a \log{\left(- \frac{a}{b} + e^{\frac{x \log{\left(4 \right)}}{2}} \right)}}{b^{2} \log{\left(2 \right)}} + \begin{cases} - \frac{e^{\frac{x \log{\left(4 \right)}}{2}}}{b \log{\left(2 \right)}} & \text{for}\: b \log{\left(2 \right)} \neq 0 \\- \frac{x}{b} & \text{otherwise} \end{cases}"," ",0,"-a*log(-a/b + exp(x*log(4)/2))/(b**2*log(2)) + Piecewise((-exp(x*log(4)/2)/(b*log(2)), Ne(b*log(2), 0)), (-x/b, True))","A",0
476,1,34,0,0.167099," ","integrate(2**(2*x)/(a-2**x*b),x)","- \frac{a \log{\left(2^{x} - \frac{a}{b} \right)}}{b^{2} \log{\left(2 \right)}} + \begin{cases} - \frac{2^{x}}{b \log{\left(2 \right)}} & \text{for}\: b \log{\left(2 \right)} \neq 0 \\- \frac{x}{b} & \text{otherwise} \end{cases}"," ",0,"-a*log(2**x - a/b)/(b**2*log(2)) + Piecewise((-2**x/(b*log(2)), Ne(b*log(2), 0)), (-x/b, True))","A",0
477,1,92,0,0.365437," ","integrate(4**x/(a+b/(2**x)),x)","\begin{cases} \frac{2^{2 x} a^{2} \log{\left(2 \right)} - 2 \cdot 2^{x} a b \log{\left(2 \right)}}{2 a^{3} \log{\left(2 \right)}^{2}} & \text{for}\: 2 a^{3} \log{\left(2 \right)}^{2} \neq 0 \\x \left(- \frac{b^{2}}{a^{3}} + \frac{a^{2} - a b + b^{2}}{a^{3}}\right) & \text{otherwise} \end{cases} + \frac{b^{2} x}{a^{3}} + \frac{b^{2} \log{\left(\frac{a}{b} + 2^{- x} \right)}}{a^{3} \log{\left(2 \right)}}"," ",0,"Piecewise(((2**(2*x)*a**2*log(2) - 2*2**x*a*b*log(2))/(2*a**3*log(2)**2), Ne(2*a**3*log(2)**2, 0)), (x*(-b**2/a**3 + (a**2 - a*b + b**2)/a**3), True)) + b**2*x/a**3 + b**2*log(a/b + 2**(-x))/(a**3*log(2))","A",0
478,1,92,0,0.222193," ","integrate(2**(2*x)/(a+b/(2**x)),x)","\begin{cases} \frac{2^{2 x} a^{2} \log{\left(2 \right)} - 2 \cdot 2^{x} a b \log{\left(2 \right)}}{2 a^{3} \log{\left(2 \right)}^{2}} & \text{for}\: 2 a^{3} \log{\left(2 \right)}^{2} \neq 0 \\x \left(- \frac{b^{2}}{a^{3}} + \frac{a^{2} - a b + b^{2}}{a^{3}}\right) & \text{otherwise} \end{cases} + \frac{b^{2} x}{a^{3}} + \frac{b^{2} \log{\left(\frac{a}{b} + 2^{- x} \right)}}{a^{3} \log{\left(2 \right)}}"," ",0,"Piecewise(((2**(2*x)*a**2*log(2) - 2*2**x*a*b*log(2))/(2*a**3*log(2)**2), Ne(2*a**3*log(2)**2, 0)), (x*(-b**2/a**3 + (a**2 - a*b + b**2)/a**3), True)) + b**2*x/a**3 + b**2*log(a/b + 2**(-x))/(a**3*log(2))","A",0
479,1,92,0,0.367277," ","integrate(4**x/(a-b/(2**x)),x)","\begin{cases} \frac{2^{2 x} a^{2} \log{\left(2 \right)} + 2 \cdot 2^{x} a b \log{\left(2 \right)}}{2 a^{3} \log{\left(2 \right)}^{2}} & \text{for}\: 2 a^{3} \log{\left(2 \right)}^{2} \neq 0 \\x \left(- \frac{b^{2}}{a^{3}} + \frac{a^{2} + a b + b^{2}}{a^{3}}\right) & \text{otherwise} \end{cases} + \frac{b^{2} x}{a^{3}} + \frac{b^{2} \log{\left(- \frac{a}{b} + 2^{- x} \right)}}{a^{3} \log{\left(2 \right)}}"," ",0,"Piecewise(((2**(2*x)*a**2*log(2) + 2*2**x*a*b*log(2))/(2*a**3*log(2)**2), Ne(2*a**3*log(2)**2, 0)), (x*(-b**2/a**3 + (a**2 + a*b + b**2)/a**3), True)) + b**2*x/a**3 + b**2*log(-a/b + 2**(-x))/(a**3*log(2))","A",0
480,1,92,0,0.226984," ","integrate(2**(2*x)/(a-b/(2**x)),x)","\begin{cases} \frac{2^{2 x} a^{2} \log{\left(2 \right)} + 2 \cdot 2^{x} a b \log{\left(2 \right)}}{2 a^{3} \log{\left(2 \right)}^{2}} & \text{for}\: 2 a^{3} \log{\left(2 \right)}^{2} \neq 0 \\x \left(- \frac{b^{2}}{a^{3}} + \frac{a^{2} + a b + b^{2}}{a^{3}}\right) & \text{otherwise} \end{cases} + \frac{b^{2} x}{a^{3}} + \frac{b^{2} \log{\left(- \frac{a}{b} + 2^{- x} \right)}}{a^{3} \log{\left(2 \right)}}"," ",0,"Piecewise(((2**(2*x)*a**2*log(2) + 2*2**x*a*b*log(2))/(2*a**3*log(2)**2), Ne(2*a**3*log(2)**2, 0)), (x*(-b**2/a**3 + (a**2 + a*b + b**2)/a**3), True)) + b**2*x/a**3 + b**2*log(-a/b + 2**(-x))/(a**3*log(2))","A",0
481,1,29,0,0.315342," ","integrate(2**x/(a+4**x*b),x)","\frac{\operatorname{RootSum} {\left(4 z^{2} a b + 1, \left( i \mapsto i \log{\left(2 i a + e^{\frac{x \log{\left(4 \right)}}{2}} \right)} \right)\right)}}{\log{\left(2 \right)}}"," ",0,"RootSum(4*_z**2*a*b + 1, Lambda(_i, _i*log(2*_i*a + exp(x*log(4)/2))))/log(2)","A",0
482,1,24,0,0.183305," ","integrate(2**x/(a+2**(2*x)*b),x)","\frac{\operatorname{RootSum} {\left(4 z^{2} a b + 1, \left( i \mapsto i \log{\left(2^{x} + 2 i a \right)} \right)\right)}}{\log{\left(2 \right)}}"," ",0,"RootSum(4*_z**2*a*b + 1, Lambda(_i, _i*log(2**x + 2*_i*a)))/log(2)","A",0
483,1,29,0,0.327493," ","integrate(2**x/(a-4**x*b),x)","\frac{\operatorname{RootSum} {\left(4 z^{2} a b - 1, \left( i \mapsto i \log{\left(2 i a + e^{\frac{x \log{\left(4 \right)}}{2}} \right)} \right)\right)}}{\log{\left(2 \right)}}"," ",0,"RootSum(4*_z**2*a*b - 1, Lambda(_i, _i*log(2*_i*a + exp(x*log(4)/2))))/log(2)","A",0
484,1,24,0,0.194195," ","integrate(2**x/(a-2**(2*x)*b),x)","\frac{\operatorname{RootSum} {\left(4 z^{2} a b - 1, \left( i \mapsto i \log{\left(2^{x} + 2 i a \right)} \right)\right)}}{\log{\left(2 \right)}}"," ",0,"RootSum(4*_z**2*a*b - 1, Lambda(_i, _i*log(2**x + 2*_i*a)))/log(2)","A",0
485,1,54,0,0.383121," ","integrate(2**x/(a+b/(4**x)),x)","\begin{cases} \frac{e^{\frac{x \log{\left(4 \right)}}{2}}}{a \log{\left(2 \right)}} & \text{for}\: a \log{\left(2 \right)} \neq 0 \\\frac{x}{a} & \text{otherwise} \end{cases} + \frac{\operatorname{RootSum} {\left(4 z^{2} a^{3} + b, \left( i \mapsto i \log{\left(\frac{2 i a^{2}}{b} + e^{- \frac{x \log{\left(4 \right)}}{2}} \right)} \right)\right)}}{\log{\left(2 \right)}}"," ",0,"Piecewise((exp(x*log(4)/2)/(a*log(2)), Ne(a*log(2), 0)), (x/a, True)) + RootSum(4*_z**2*a**3 + b, Lambda(_i, _i*log(2*_i*a**2/b + exp(-x*log(4)/2))))/log(2)","A",0
486,1,44,0,0.237036," ","integrate(2**x/(a+b/(2**(2*x))),x)","\begin{cases} \frac{2^{x}}{a \log{\left(2 \right)}} & \text{for}\: a \log{\left(2 \right)} \neq 0 \\\frac{x}{a} & \text{otherwise} \end{cases} + \frac{\operatorname{RootSum} {\left(4 z^{2} a^{3} + b, \left( i \mapsto i \log{\left(\frac{2 i a^{2}}{b} + 2^{- x} \right)} \right)\right)}}{\log{\left(2 \right)}}"," ",0,"Piecewise((2**x/(a*log(2)), Ne(a*log(2), 0)), (x/a, True)) + RootSum(4*_z**2*a**3 + b, Lambda(_i, _i*log(2*_i*a**2/b + 2**(-x))))/log(2)","A",0
487,1,54,0,0.392836," ","integrate(2**x/(a-b/(4**x)),x)","\begin{cases} \frac{e^{\frac{x \log{\left(4 \right)}}{2}}}{a \log{\left(2 \right)}} & \text{for}\: a \log{\left(2 \right)} \neq 0 \\\frac{x}{a} & \text{otherwise} \end{cases} + \frac{\operatorname{RootSum} {\left(4 z^{2} a^{3} - b, \left( i \mapsto i \log{\left(- \frac{2 i a^{2}}{b} + e^{- \frac{x \log{\left(4 \right)}}{2}} \right)} \right)\right)}}{\log{\left(2 \right)}}"," ",0,"Piecewise((exp(x*log(4)/2)/(a*log(2)), Ne(a*log(2), 0)), (x/a, True)) + RootSum(4*_z**2*a**3 - b, Lambda(_i, _i*log(-2*_i*a**2/b + exp(-x*log(4)/2))))/log(2)","A",0
488,1,44,0,0.247030," ","integrate(2**x/(a-b/(2**(2*x))),x)","\begin{cases} \frac{2^{x}}{a \log{\left(2 \right)}} & \text{for}\: a \log{\left(2 \right)} \neq 0 \\\frac{x}{a} & \text{otherwise} \end{cases} + \frac{\operatorname{RootSum} {\left(4 z^{2} a^{3} - b, \left( i \mapsto i \log{\left(- \frac{2 i a^{2}}{b} + 2^{- x} \right)} \right)\right)}}{\log{\left(2 \right)}}"," ",0,"Piecewise((2**x/(a*log(2)), Ne(a*log(2), 0)), (x/a, True)) + RootSum(4*_z**2*a**3 - b, Lambda(_i, _i*log(-2*_i*a**2/b + 2**(-x))))/log(2)","A",0
489,1,85,0,0.816270," ","integrate(2**x/(a+4**x*b)**(1/2),x)","\frac{\begin{cases} \frac{\sqrt{- \frac{a}{b}} \operatorname{asin}{\left(2^{x} \sqrt{- \frac{b}{a}} \right)}}{\sqrt{a}} & \text{for}\: a > 0 \wedge b < 0 \\\frac{\sqrt{\frac{a}{b}} \operatorname{asinh}{\left(2^{x} \sqrt{\frac{b}{a}} \right)}}{\sqrt{a}} & \text{for}\: a > 0 \wedge b > 0 \\\frac{\sqrt{- \frac{a}{b}} \operatorname{acosh}{\left(2^{x} \sqrt{- \frac{b}{a}} \right)}}{\sqrt{- a}} & \text{for}\: b > 0 \wedge a < 0 \end{cases}}{\log{\left(2 \right)}}"," ",0,"Piecewise((sqrt(-a/b)*asin(2**x*sqrt(-b/a))/sqrt(a), (a > 0) & (b < 0)), (sqrt(a/b)*asinh(2**x*sqrt(b/a))/sqrt(a), (a > 0) & (b > 0)), (sqrt(-a/b)*acosh(2**x*sqrt(-b/a))/sqrt(-a), (b > 0) & (a < 0)))/log(2)","A",0
490,1,85,0,0.921898," ","integrate(2**x/(a+2**(2*x)*b)**(1/2),x)","\frac{\begin{cases} \frac{\sqrt{- \frac{a}{b}} \operatorname{asin}{\left(2^{x} \sqrt{- \frac{b}{a}} \right)}}{\sqrt{a}} & \text{for}\: a > 0 \wedge b < 0 \\\frac{\sqrt{\frac{a}{b}} \operatorname{asinh}{\left(2^{x} \sqrt{\frac{b}{a}} \right)}}{\sqrt{a}} & \text{for}\: a > 0 \wedge b > 0 \\\frac{\sqrt{- \frac{a}{b}} \operatorname{acosh}{\left(2^{x} \sqrt{- \frac{b}{a}} \right)}}{\sqrt{- a}} & \text{for}\: b > 0 \wedge a < 0 \end{cases}}{\log{\left(2 \right)}}"," ",0,"Piecewise((sqrt(-a/b)*asin(2**x*sqrt(-b/a))/sqrt(a), (a > 0) & (b < 0)), (sqrt(a/b)*asinh(2**x*sqrt(b/a))/sqrt(a), (a > 0) & (b > 0)), (sqrt(-a/b)*acosh(2**x*sqrt(-b/a))/sqrt(-a), (b > 0) & (a < 0)))/log(2)","A",0
491,1,82,0,0.860173," ","integrate(2**x/(a-4**x*b)**(1/2),x)","\frac{\begin{cases} \frac{\sqrt{\frac{a}{b}} \operatorname{asin}{\left(2^{x} \sqrt{\frac{b}{a}} \right)}}{\sqrt{a}} & \text{for}\: a > 0 \wedge b > 0 \\\frac{\sqrt{- \frac{a}{b}} \operatorname{asinh}{\left(2^{x} \sqrt{- \frac{b}{a}} \right)}}{\sqrt{a}} & \text{for}\: a > 0 \wedge b < 0 \\\frac{\sqrt{\frac{a}{b}} \operatorname{acosh}{\left(2^{x} \sqrt{\frac{b}{a}} \right)}}{\sqrt{- a}} & \text{for}\: a < 0 \wedge b < 0 \end{cases}}{\log{\left(2 \right)}}"," ",0,"Piecewise((sqrt(a/b)*asin(2**x*sqrt(b/a))/sqrt(a), (a > 0) & (b > 0)), (sqrt(-a/b)*asinh(2**x*sqrt(-b/a))/sqrt(a), (a > 0) & (b < 0)), (sqrt(a/b)*acosh(2**x*sqrt(b/a))/sqrt(-a), (a < 0) & (b < 0)))/log(2)","A",0
492,1,82,0,0.972927," ","integrate(2**x/(a-2**(2*x)*b)**(1/2),x)","\frac{\begin{cases} \frac{\sqrt{\frac{a}{b}} \operatorname{asin}{\left(2^{x} \sqrt{\frac{b}{a}} \right)}}{\sqrt{a}} & \text{for}\: a > 0 \wedge b > 0 \\\frac{\sqrt{- \frac{a}{b}} \operatorname{asinh}{\left(2^{x} \sqrt{- \frac{b}{a}} \right)}}{\sqrt{a}} & \text{for}\: a > 0 \wedge b < 0 \\\frac{\sqrt{\frac{a}{b}} \operatorname{acosh}{\left(2^{x} \sqrt{\frac{b}{a}} \right)}}{\sqrt{- a}} & \text{for}\: a < 0 \wedge b < 0 \end{cases}}{\log{\left(2 \right)}}"," ",0,"Piecewise((sqrt(a/b)*asin(2**x*sqrt(b/a))/sqrt(a), (a > 0) & (b > 0)), (sqrt(-a/b)*asinh(2**x*sqrt(-b/a))/sqrt(a), (a > 0) & (b < 0)), (sqrt(a/b)*acosh(2**x*sqrt(b/a))/sqrt(-a), (a < 0) & (b < 0)))/log(2)","A",0
493,0,0,0,0.000000," ","integrate(2**x/(a+b/(4**x))**(1/2),x)","\int \frac{2^{x}}{\sqrt{a + 4^{- x} b}}\, dx"," ",0,"Integral(2**x/sqrt(a + 4**(-x)*b), x)","F",0
494,0,0,0,0.000000," ","integrate(2**x/(a+b/(2**(2*x)))**(1/2),x)","\int \frac{2^{x}}{\sqrt{a + 2^{- 2 x} b}}\, dx"," ",0,"Integral(2**x/sqrt(a + 2**(-2*x)*b), x)","F",0
495,0,0,0,0.000000," ","integrate(2**x/(a-b/(4**x))**(1/2),x)","\int \frac{2^{x}}{\sqrt{a - 4^{- x} b}}\, dx"," ",0,"Integral(2**x/sqrt(a - 4**(-x)*b), x)","F",0
496,0,0,0,0.000000," ","integrate(2**x/(a-b/(2**(2*x)))**(1/2),x)","\int \frac{2^{x}}{\sqrt{a - 2^{- 2 x} b}}\, dx"," ",0,"Integral(2**x/sqrt(a - 2**(-2*x)*b), x)","F",0
497,1,56,0,0.973495," ","integrate(4**x/(a+2**x*b)**(1/2),x)","\begin{cases} \frac{2 \cdot 2^{x} \sqrt{2^{x} b + a}}{3 b \log{\left(2 \right)}} - \frac{4 a \sqrt{2^{x} b + a}}{3 b^{2} \log{\left(2 \right)}} & \text{for}\: b \neq 0 \\\frac{4^{x}}{2 \sqrt{a} \log{\left(2 \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*2**x*sqrt(2**x*b + a)/(3*b*log(2)) - 4*a*sqrt(2**x*b + a)/(3*b**2*log(2)), Ne(b, 0)), (4**x/(2*sqrt(a)*log(2)), True))","A",0
498,1,58,0,0.969703," ","integrate(2**(2*x)/(a+2**x*b)**(1/2),x)","\begin{cases} \frac{2 \cdot 2^{x} \sqrt{2^{x} b + a}}{3 b \log{\left(2 \right)}} - \frac{4 a \sqrt{2^{x} b + a}}{3 b^{2} \log{\left(2 \right)}} & \text{for}\: b \neq 0 \\\frac{2^{2 x}}{2 \sqrt{a} \log{\left(2 \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*2**x*sqrt(2**x*b + a)/(3*b*log(2)) - 4*a*sqrt(2**x*b + a)/(3*b**2*log(2)), Ne(b, 0)), (2**(2*x)/(2*sqrt(a)*log(2)), True))","A",0
499,1,58,0,0.974302," ","integrate(4**x/(a-2**x*b)**(1/2),x)","\begin{cases} - \frac{2 \cdot 2^{x} \sqrt{- 2^{x} b + a}}{3 b \log{\left(2 \right)}} - \frac{4 a \sqrt{- 2^{x} b + a}}{3 b^{2} \log{\left(2 \right)}} & \text{for}\: b \neq 0 \\\frac{4^{x}}{2 \sqrt{a} \log{\left(2 \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*2**x*sqrt(-2**x*b + a)/(3*b*log(2)) - 4*a*sqrt(-2**x*b + a)/(3*b**2*log(2)), Ne(b, 0)), (4**x/(2*sqrt(a)*log(2)), True))","A",0
500,1,60,0,0.976829," ","integrate(2**(2*x)/(a-2**x*b)**(1/2),x)","\begin{cases} - \frac{2 \cdot 2^{x} \sqrt{- 2^{x} b + a}}{3 b \log{\left(2 \right)}} - \frac{4 a \sqrt{- 2^{x} b + a}}{3 b^{2} \log{\left(2 \right)}} & \text{for}\: b \neq 0 \\\frac{2^{2 x}}{2 \sqrt{a} \log{\left(2 \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*2**x*sqrt(-2**x*b + a)/(3*b*log(2)) - 4*a*sqrt(-2**x*b + a)/(3*b**2*log(2)), Ne(b, 0)), (2**(2*x)/(2*sqrt(a)*log(2)), True))","A",0
501,0,0,0,0.000000," ","integrate(4**x/(a+b/(2**x))**(1/2),x)","\int \frac{4^{x}}{\sqrt{a + 2^{- x} b}}\, dx"," ",0,"Integral(4**x/sqrt(a + 2**(-x)*b), x)","F",0
502,0,0,0,0.000000," ","integrate(2**(2*x)/(a+b/(2**x))**(1/2),x)","\int \frac{2^{2 x}}{\sqrt{a + 2^{- x} b}}\, dx"," ",0,"Integral(2**(2*x)/sqrt(a + 2**(-x)*b), x)","F",0
503,0,0,0,0.000000," ","integrate(4**x/(a-b/(2**x))**(1/2),x)","\int \frac{4^{x}}{\sqrt{a - 2^{- x} b}}\, dx"," ",0,"Integral(4**x/sqrt(a - 2**(-x)*b), x)","F",0
504,0,0,0,0.000000," ","integrate(2**(2*x)/(a-b/(2**x))**(1/2),x)","\int \frac{2^{2 x}}{\sqrt{a - 2^{- x} b}}\, dx"," ",0,"Integral(2**(2*x)/sqrt(a - 2**(-x)*b), x)","F",0
505,1,14,0,0.086584," ","integrate(1/(1+2*exp(x)+exp(2*x)),x)","x - \log{\left(e^{x} + 1 \right)} + \frac{1}{e^{x} + 1}"," ",0,"x - log(exp(x) + 1) + 1/(exp(x) + 1)","A",0
506,1,17,0,0.116740," ","integrate(1/(2+3*exp(x)+exp(2*x)),x)","\frac{x}{2} - \log{\left(e^{x} + 1 \right)} + \frac{\log{\left(e^{x} + 2 \right)}}{2}"," ",0,"x/2 - log(exp(x) + 1) + log(exp(x) + 2)/2","A",0
507,1,22,0,0.128999," ","integrate(1/(-1+exp(x)+exp(2*x)),x)","- x + \operatorname{RootSum} {\left(5 z^{2} - 5 z + 1, \left( i \mapsto i \log{\left(- 5 i + e^{x} + 3 \right)} \right)\right)}"," ",0,"-x + RootSum(5*_z**2 - 5*_z + 1, Lambda(_i, _i*log(-5*_i + exp(x) + 3)))","A",0
508,1,24,0,0.126387," ","integrate(1/(3+3*exp(x)+exp(2*x)),x)","\frac{x}{3} + \operatorname{RootSum} {\left(9 z^{2} + 3 z + 1, \left( i \mapsto i \log{\left(- 3 i + e^{x} + 1 \right)} \right)\right)}"," ",0,"x/3 + RootSum(9*_z**2 + 3*_z + 1, Lambda(_i, _i*log(-3*_i + exp(x) + 1)))","A",0
509,1,63,0,0.329914," ","integrate(1/(a+b*exp(x)+c*exp(2*x)),x)","\operatorname{RootSum} {\left(z^{2} \left(4 a^{2} c - a b^{2}\right) + z \left(4 a c - b^{2}\right) + c, \left( i \mapsto i \log{\left(e^{x} + \frac{- 4 i a^{2} c + i a b^{2} - 2 a c + b^{2}}{b c} \right)} \right)\right)} + \frac{x}{a}"," ",0,"RootSum(_z**2*(4*a**2*c - a*b**2) + _z*(4*a*c - b**2) + c, Lambda(_i, _i*log(exp(x) + (-4*_i*a**2*c + _i*a*b**2 - 2*a*c + b**2)/(b*c)))) + x/a","A",0
510,0,0,0,0.000000," ","integrate(x/(1+2*exp(x)+exp(2*x)),x)","\frac{x}{e^{x} + 1} + \int \frac{x - 1}{e^{x} + 1}\, dx"," ",0,"x/(exp(x) + 1) + Integral((x - 1)/(exp(x) + 1), x)","F",0
511,0,0,0,0.000000," ","integrate(x/(2+3*exp(x)+exp(2*x)),x)","\int \frac{x}{\left(e^{x} + 1\right) \left(e^{x} + 2\right)}\, dx"," ",0,"Integral(x/((exp(x) + 1)*(exp(x) + 2)), x)","F",0
512,0,0,0,0.000000," ","integrate(x/(-1+exp(x)+exp(2*x)),x)","\int \frac{x}{e^{2 x} + e^{x} - 1}\, dx"," ",0,"Integral(x/(exp(2*x) + exp(x) - 1), x)","F",0
513,0,0,0,0.000000," ","integrate(x/(3+3*exp(x)+exp(2*x)),x)","\int \frac{x}{e^{2 x} + 3 e^{x} + 3}\, dx"," ",0,"Integral(x/(exp(2*x) + 3*exp(x) + 3), x)","F",0
514,0,0,0,0.000000," ","integrate(x/(a+b*exp(x)+c*exp(2*x)),x)","\int \frac{x}{a + b e^{x} + c e^{2 x}}\, dx"," ",0,"Integral(x/(a + b*exp(x) + c*exp(2*x)), x)","F",0
515,0,0,0,0.000000," ","integrate(x**2/(1+2*exp(x)+exp(2*x)),x)","\frac{x^{2}}{e^{x} + 1} + \int \frac{x \left(x - 2\right)}{e^{x} + 1}\, dx"," ",0,"x**2/(exp(x) + 1) + Integral(x*(x - 2)/(exp(x) + 1), x)","F",0
516,0,0,0,0.000000," ","integrate(x**2/(2+3*exp(x)+exp(2*x)),x)","\int \frac{x^{2}}{\left(e^{x} + 1\right) \left(e^{x} + 2\right)}\, dx"," ",0,"Integral(x**2/((exp(x) + 1)*(exp(x) + 2)), x)","F",0
517,0,0,0,0.000000," ","integrate(x**2/(-1+exp(x)+exp(2*x)),x)","\int \frac{x^{2}}{e^{2 x} + e^{x} - 1}\, dx"," ",0,"Integral(x**2/(exp(2*x) + exp(x) - 1), x)","F",0
518,0,0,0,0.000000," ","integrate(x**2/(3+3*exp(x)+exp(2*x)),x)","\int \frac{x^{2}}{e^{2 x} + 3 e^{x} + 3}\, dx"," ",0,"Integral(x**2/(exp(2*x) + 3*exp(x) + 3), x)","F",0
519,0,0,0,0.000000," ","integrate(x**2/(a+b*exp(x)+c*exp(2*x)),x)","\int \frac{x^{2}}{a + b e^{x} + c e^{2 x}}\, dx"," ",0,"Integral(x**2/(a + b*exp(x) + c*exp(2*x)), x)","F",0
520,1,34,0,0.127550," ","integrate(1/(1+2*f**(d*x+c)+f**(2*d*x+2*c)),x)","x + \frac{1}{d f^{c + d x} \log{\left(f \right)} + d \log{\left(f \right)}} - \frac{\log{\left(f^{c + d x} + 1 \right)}}{d \log{\left(f \right)}}"," ",0,"x + 1/(d*f**(c + d*x)*log(f) + d*log(f)) - log(f**(c + d*x) + 1)/(d*log(f))","A",0
521,1,104,0,0.507524," ","integrate(1/(a+b*f**(d*x+c)+c*f**(2*d*x+2*c)),x)","\operatorname{RootSum} {\left(z^{2} \left(4 a^{2} c d^{2} \log{\left(f \right)}^{2} - a b^{2} d^{2} \log{\left(f \right)}^{2}\right) + z \left(4 a c d \log{\left(f \right)} - b^{2} d \log{\left(f \right)}\right) + c, \left( i \mapsto i \log{\left(f^{c + d x} + \frac{- 4 i a^{2} c d \log{\left(f \right)} + i a b^{2} d \log{\left(f \right)} - 2 a c + b^{2}}{b c} \right)} \right)\right)} + \frac{x}{a}"," ",0,"RootSum(_z**2*(4*a**2*c*d**2*log(f)**2 - a*b**2*d**2*log(f)**2) + _z*(4*a*c*d*log(f) - b**2*d*log(f)) + c, Lambda(_i, _i*log(f**(c + d*x) + (-4*_i*a**2*c*d*log(f) + _i*a*b**2*d*log(f) - 2*a*c + b**2)/(b*c)))) + x/a","A",0
522,1,104,0,0.504014," ","integrate(1/(a+b*f**(h*x+g)+c*f**(2*h*x+2*g)),x)","\operatorname{RootSum} {\left(z^{2} \left(4 a^{2} c h^{2} \log{\left(f \right)}^{2} - a b^{2} h^{2} \log{\left(f \right)}^{2}\right) + z \left(4 a c h \log{\left(f \right)} - b^{2} h \log{\left(f \right)}\right) + c, \left( i \mapsto i \log{\left(f^{g + h x} + \frac{- 4 i a^{2} c h \log{\left(f \right)} + i a b^{2} h \log{\left(f \right)} - 2 a c + b^{2}}{b c} \right)} \right)\right)} + \frac{x}{a}"," ",0,"RootSum(_z**2*(4*a**2*c*h**2*log(f)**2 - a*b**2*h**2*log(f)**2) + _z*(4*a*c*h*log(f) - b**2*h*log(f)) + c, Lambda(_i, _i*log(f**(g + h*x) + (-4*_i*a**2*c*h*log(f) + _i*a*b**2*h*log(f) - 2*a*c + b**2)/(b*c)))) + x/a","A",0
523,0,0,0,0.000000," ","integrate(x/(1+2*f**(d*x+c)+f**(2*d*x+2*c)),x)","\frac{x}{d f^{c + d x} \log{\left(f \right)} + d \log{\left(f \right)}} + \frac{\int \frac{d x \log{\left(f \right)}}{e^{c \log{\left(f \right)}} e^{d x \log{\left(f \right)}} + 1}\, dx + \int \left(- \frac{1}{e^{c \log{\left(f \right)}} e^{d x \log{\left(f \right)}} + 1}\right)\, dx}{d \log{\left(f \right)}}"," ",0,"x/(d*f**(c + d*x)*log(f) + d*log(f)) + (Integral(d*x*log(f)/(exp(c*log(f))*exp(d*x*log(f)) + 1), x) + Integral(-1/(exp(c*log(f))*exp(d*x*log(f)) + 1), x))/(d*log(f))","F",0
524,0,0,0,0.000000," ","integrate(x/(a+b*f**(d*x+c)+c*f**(2*d*x+2*c)),x)","\int \frac{x}{a + b f^{c} f^{d x} + c f^{2 c} f^{2 d x}}\, dx"," ",0,"Integral(x/(a + b*f**c*f**(d*x) + c*f**(2*c)*f**(2*d*x)), x)","F",0
525,0,0,0,0.000000," ","integrate(x**2/(1+2*f**(d*x+c)+f**(2*d*x+2*c)),x)","\frac{x^{2}}{d f^{c + d x} \log{\left(f \right)} + d \log{\left(f \right)}} + \frac{\int \left(- \frac{2 x}{e^{c \log{\left(f \right)}} e^{d x \log{\left(f \right)}} + 1}\right)\, dx + \int \frac{d x^{2} \log{\left(f \right)}}{e^{c \log{\left(f \right)}} e^{d x \log{\left(f \right)}} + 1}\, dx}{d \log{\left(f \right)}}"," ",0,"x**2/(d*f**(c + d*x)*log(f) + d*log(f)) + (Integral(-2*x/(exp(c*log(f))*exp(d*x*log(f)) + 1), x) + Integral(d*x**2*log(f)/(exp(c*log(f))*exp(d*x*log(f)) + 1), x))/(d*log(f))","F",0
526,0,0,0,0.000000," ","integrate(x**2/(a+b*f**(d*x+c)+c*f**(2*d*x+2*c)),x)","\int \frac{x^{2}}{a + b f^{c} f^{d x} + c f^{2 c} f^{2 d x}}\, dx"," ",0,"Integral(x**2/(a + b*f**c*f**(d*x) + c*f**(2*c)*f**(2*d*x)), x)","F",0
527,1,139,0,1.203296," ","integrate((d+e*f**(h*x+g))/(a+b*f**(h*x+g)+c*f**(2*h*x+2*g)),x)","\operatorname{RootSum} {\left(z^{2} \left(4 a^{2} c h^{2} \log{\left(f \right)}^{2} - a b^{2} h^{2} \log{\left(f \right)}^{2}\right) + z \left(4 a c d h \log{\left(f \right)} - b^{2} d h \log{\left(f \right)}\right) + a e^{2} - b d e + c d^{2}, \left( i \mapsto i \log{\left(f^{g + h x} + \frac{4 i a^{2} c h \log{\left(f \right)} - i a b^{2} h \log{\left(f \right)} + a b e + 2 a c d - b^{2} d}{2 a c e - b c d} \right)} \right)\right)} + \frac{d x}{a}"," ",0,"RootSum(_z**2*(4*a**2*c*h**2*log(f)**2 - a*b**2*h**2*log(f)**2) + _z*(4*a*c*d*h*log(f) - b**2*d*h*log(f)) + a*e**2 - b*d*e + c*d**2, Lambda(_i, _i*log(f**(g + h*x) + (4*_i*a**2*c*h*log(f) - _i*a*b**2*h*log(f) + a*b*e + 2*a*c*d - b**2*d)/(2*a*c*e - b*c*d)))) + d*x/a","A",0
528,1,139,0,1.213099," ","integrate((d+e*f**(h*x+g))/(a+b*f**(h*x+g)+c*f**(2*h*x+2*g)),x)","\operatorname{RootSum} {\left(z^{2} \left(4 a^{2} c h^{2} \log{\left(f \right)}^{2} - a b^{2} h^{2} \log{\left(f \right)}^{2}\right) + z \left(4 a c d h \log{\left(f \right)} - b^{2} d h \log{\left(f \right)}\right) + a e^{2} - b d e + c d^{2}, \left( i \mapsto i \log{\left(f^{g + h x} + \frac{4 i a^{2} c h \log{\left(f \right)} - i a b^{2} h \log{\left(f \right)} + a b e + 2 a c d - b^{2} d}{2 a c e - b c d} \right)} \right)\right)} + \frac{d x}{a}"," ",0,"RootSum(_z**2*(4*a**2*c*h**2*log(f)**2 - a*b**2*h**2*log(f)**2) + _z*(4*a*c*d*h*log(f) - b**2*d*h*log(f)) + a*e**2 - b*d*e + c*d**2, Lambda(_i, _i*log(f**(g + h*x) + (4*_i*a**2*c*h*log(f) - _i*a*b**2*h*log(f) + a*b*e + 2*a*c*d - b**2*d)/(2*a*c*e - b*c*d)))) + d*x/a","A",0
529,1,7,0,0.076009," ","integrate(1/(2+exp(-x)+exp(x)),x)","- \frac{1}{e^{x} + 1}"," ",0,"-1/(exp(x) + 1)","A",0
530,1,14,0,0.094382," ","integrate(x/(2+exp(-x)+exp(x)),x)","x - \frac{x}{e^{x} + 1} - \log{\left(e^{x} + 1 \right)}"," ",0,"x - x/(exp(x) + 1) - log(exp(x) + 1)","A",0
531,0,0,0,0.000000," ","integrate(x**2/(2+exp(-x)+exp(x)),x)","- \frac{x^{2}}{e^{x} + 1} + 2 \int \frac{x}{e^{x} + 1}\, dx"," ",0,"-x**2/(exp(x) + 1) + 2*Integral(x/(exp(x) + 1), x)","F",0
532,1,19,0,0.112332," ","integrate(1/(2+f**(-d*x-c)+f**(d*x+c)),x)","- \frac{1}{d f^{c + d x} \log{\left(f \right)} + d \log{\left(f \right)}}"," ",0,"-1/(d*f**(c + d*x)*log(f) + d*log(f))","A",0
533,1,42,0,0.148272," ","integrate(x/(2+f**(-d*x-c)+f**(d*x+c)),x)","- \frac{x}{d f^{c + d x} \log{\left(f \right)} + d \log{\left(f \right)}} + \frac{x}{d \log{\left(f \right)}} - \frac{\log{\left(f^{c + d x} + 1 \right)}}{d^{2} \log{\left(f \right)}^{2}}"," ",0,"-x/(d*f**(c + d*x)*log(f) + d*log(f)) + x/(d*log(f)) - log(f**(c + d*x) + 1)/(d**2*log(f)**2)","A",0
534,0,0,0,0.000000," ","integrate(x**2/(2+f**(-d*x-c)+f**(d*x+c)),x)","- \frac{x^{2}}{d f^{c + d x} \log{\left(f \right)} + d \log{\left(f \right)}} + \frac{2 \int \frac{x}{e^{c \log{\left(f \right)}} e^{d x \log{\left(f \right)}} + 1}\, dx}{d \log{\left(f \right)}}"," ",0,"-x**2/(d*f**(c + d*x)*log(f) + d*log(f)) + 2*Integral(x/(exp(c*log(f))*exp(d*x*log(f)) + 1), x)/(d*log(f))","F",0
535,1,12,0,0.093484," ","integrate(1/(2+1/(3**x)+3**x),x)","- \frac{1}{3^{x} \log{\left(3 \right)} + \log{\left(3 \right)}}"," ",0,"-1/(3**x*log(3) + log(3))","A",0
536,1,17,0,0.123805," ","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
537,1,36,0,0.259357," ","integrate(1/(a+b/exp(x)+c*exp(x)),x)","\operatorname{RootSum} {\left(z^{2} \left(a^{2} - 4 b c\right) - 1, \left( i \mapsto i \log{\left(e^{x} + \frac{- i a^{2} + 4 i b c + a}{2 c} \right)} \right)\right)}"," ",0,"RootSum(_z**2*(a**2 - 4*b*c) - 1, Lambda(_i, _i*log(exp(x) + (-_i*a**2 + 4*_i*b*c + a)/(2*c))))","A",0
538,0,0,0,0.000000," ","integrate(x/(a+b/exp(x)+c*exp(x)),x)","\int \frac{x e^{x}}{a e^{x} + b + c e^{2 x}}\, dx"," ",0,"Integral(x*exp(x)/(a*exp(x) + b + c*exp(2*x)), x)","F",0
539,0,0,0,0.000000," ","integrate(x**2/(a+b/exp(x)+c*exp(x)),x)","\int \frac{x^{2} e^{x}}{a e^{x} + b + c e^{2 x}}\, dx"," ",0,"Integral(x**2*exp(x)/(a*exp(x) + b + c*exp(2*x)), x)","F",0
540,1,66,0,0.376381," ","integrate(1/(a+b*f**(-d*x-c)+c*f**(d*x+c)),x)","\operatorname{RootSum} {\left(z^{2} \left(a^{2} d^{2} \log{\left(f \right)}^{2} - 4 b c d^{2} \log{\left(f \right)}^{2}\right) - 1, \left( i \mapsto i \log{\left(f^{c + d x} + \frac{- i a^{2} d \log{\left(f \right)} + 4 i b c d \log{\left(f \right)} + a}{2 c} \right)} \right)\right)}"," ",0,"RootSum(_z**2*(a**2*d**2*log(f)**2 - 4*b*c*d**2*log(f)**2) - 1, Lambda(_i, _i*log(f**(c + d*x) + (-_i*a**2*d*log(f) + 4*_i*b*c*d*log(f) + a)/(2*c))))","A",0
541,-1,0,0,0.000000," ","integrate(x/(a+b*f**(-d*x-c)+c*f**(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
542,-1,0,0,0.000000," ","integrate(x**2/(a+b*f**(-d*x-c)+c*f**(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
543,-1,0,0,0.000000," ","integrate((a+b*F**(c*(e*x+d)**(1/2)/(g*x+f)**(1/2)))**n/(d*f+(d*g+e*f)*x+e*g*x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
544,0,0,0,0.000000," ","integrate((a+b*F**(c*(e*x+d)**(1/2)/(g*x+f)**(1/2)))**3/(d*f+(d*g+e*f)*x+e*g*x**2),x)","\int \frac{\left(F^{\frac{c \sqrt{d + e x}}{\sqrt{f + g x}}} b + a\right)^{3}}{\left(d + e x\right) \left(f + g x\right)}\, dx"," ",0,"Integral((F**(c*sqrt(d + e*x)/sqrt(f + g*x))*b + a)**3/((d + e*x)*(f + g*x)), x)","F",0
545,0,0,0,0.000000," ","integrate((a+b*F**(c*(e*x+d)**(1/2)/(g*x+f)**(1/2)))**2/(d*f+(d*g+e*f)*x+e*g*x**2),x)","\int \frac{\left(F^{\frac{c \sqrt{d + e x}}{\sqrt{f + g x}}} b + a\right)^{2}}{\left(d + e x\right) \left(f + g x\right)}\, dx"," ",0,"Integral((F**(c*sqrt(d + e*x)/sqrt(f + g*x))*b + a)**2/((d + e*x)*(f + g*x)), x)","F",0
546,0,0,0,0.000000," ","integrate((a+b*F**(c*(e*x+d)**(1/2)/(g*x+f)**(1/2)))/(d*f+(d*g+e*f)*x+e*g*x**2),x)","\int \frac{F^{\frac{c \sqrt{d + e x}}{\sqrt{f + g x}}} b + a}{\left(d + e x\right) \left(f + g x\right)}\, dx"," ",0,"Integral((F**(c*sqrt(d + e*x)/sqrt(f + g*x))*b + a)/((d + e*x)*(f + g*x)), x)","F",0
547,1,128,0,0.314525," ","integrate(1/(d*f+(d*g+e*f)*x+e*g*x**2),x)","\frac{\log{\left(x + \frac{- \frac{d^{2} g^{2}}{d g - e f} + \frac{2 d e f g}{d g - e f} + d g - \frac{e^{2} f^{2}}{d g - e f} + e f}{2 e g} \right)}}{d g - e f} - \frac{\log{\left(x + \frac{\frac{d^{2} g^{2}}{d g - e f} - \frac{2 d e f g}{d g - e f} + d g + \frac{e^{2} f^{2}}{d g - e f} + e f}{2 e g} \right)}}{d g - e f}"," ",0,"log(x + (-d**2*g**2/(d*g - e*f) + 2*d*e*f*g/(d*g - e*f) + d*g - e**2*f**2/(d*g - e*f) + e*f)/(2*e*g))/(d*g - e*f) - log(x + (d**2*g**2/(d*g - e*f) - 2*d*e*f*g/(d*g - e*f) + d*g + e**2*f**2/(d*g - e*f) + e*f)/(2*e*g))/(d*g - e*f)","B",0
548,0,0,0,0.000000," ","integrate(1/(a+b*F**(c*(e*x+d)**(1/2)/(g*x+f)**(1/2)))/(d*f+(d*g+e*f)*x+e*g*x**2),x)","\int \frac{1}{\left(d + e x\right) \left(f + g x\right) \left(F^{\frac{c \sqrt{d + e x}}{\sqrt{f + g x}}} b + a\right)}\, dx"," ",0,"Integral(1/((d + e*x)*(f + g*x)*(F**(c*sqrt(d + e*x)/sqrt(f + g*x))*b + a)), x)","F",0
549,0,0,0,0.000000," ","integrate(1/(a+b*F**(c*(e*x+d)**(1/2)/(g*x+f)**(1/2)))**2/(d*f+(d*g+e*f)*x+e*g*x**2),x)","\int \frac{1}{\left(d + e x\right) \left(f + g x\right) \left(F^{\frac{c \sqrt{d + e x}}{\sqrt{f + g x}}} b + a\right)^{2}}\, dx"," ",0,"Integral(1/((d + e*x)*(f + g*x)*(F**(c*sqrt(d + e*x)/sqrt(f + g*x))*b + a)**2), x)","F",0
550,0,0,0,0.000000," ","integrate((a+b*F**(c*(e*x+d)**(1/2)/(-e*f*x+d*f)**(1/2)))**n/(-e**2*x**2+d**2),x)","- \int \frac{\left(F^{\frac{c \sqrt{d + e x}}{\sqrt{d f - e f x}}} b + a\right)^{n}}{- d^{2} + e^{2} x^{2}}\, dx"," ",0,"-Integral((F**(c*sqrt(d + e*x)/sqrt(d*f - e*f*x))*b + a)**n/(-d**2 + e**2*x**2), x)","F",0
551,0,0,0,0.000000," ","integrate((a+b*F**(c*(e*x+d)**(1/2)/(-e*f*x+d*f)**(1/2)))**3/(-e**2*x**2+d**2),x)","- \int \frac{a^{3}}{- d^{2} + e^{2} x^{2}}\, dx - \int \frac{F^{\frac{3 c \sqrt{d + e x}}{\sqrt{d f - e f x}}} b^{3}}{- d^{2} + e^{2} x^{2}}\, dx - \int \frac{3 F^{\frac{c \sqrt{d + e x}}{\sqrt{d f - e f x}}} a^{2} b}{- d^{2} + e^{2} x^{2}}\, dx - \int \frac{3 F^{\frac{2 c \sqrt{d + e x}}{\sqrt{d f - e f x}}} a b^{2}}{- d^{2} + e^{2} x^{2}}\, dx"," ",0,"-Integral(a**3/(-d**2 + e**2*x**2), x) - Integral(F**(3*c*sqrt(d + e*x)/sqrt(d*f - e*f*x))*b**3/(-d**2 + e**2*x**2), x) - Integral(3*F**(c*sqrt(d + e*x)/sqrt(d*f - e*f*x))*a**2*b/(-d**2 + e**2*x**2), x) - Integral(3*F**(2*c*sqrt(d + e*x)/sqrt(d*f - e*f*x))*a*b**2/(-d**2 + e**2*x**2), x)","F",0
552,0,0,0,0.000000," ","integrate((a+b*F**(c*(e*x+d)**(1/2)/(-e*f*x+d*f)**(1/2)))**2/(-e**2*x**2+d**2),x)","- \int \frac{a^{2}}{- d^{2} + e^{2} x^{2}}\, dx - \int \frac{F^{\frac{2 c \sqrt{d + e x}}{\sqrt{d f - e f x}}} b^{2}}{- d^{2} + e^{2} x^{2}}\, dx - \int \frac{2 F^{\frac{c \sqrt{d + e x}}{\sqrt{d f - e f x}}} a b}{- d^{2} + e^{2} x^{2}}\, dx"," ",0,"-Integral(a**2/(-d**2 + e**2*x**2), x) - Integral(F**(2*c*sqrt(d + e*x)/sqrt(d*f - e*f*x))*b**2/(-d**2 + e**2*x**2), x) - Integral(2*F**(c*sqrt(d + e*x)/sqrt(d*f - e*f*x))*a*b/(-d**2 + e**2*x**2), x)","F",0
553,0,0,0,0.000000," ","integrate((a+b*F**(c*(e*x+d)**(1/2)/(-e*f*x+d*f)**(1/2)))/(-e**2*x**2+d**2),x)","- \int \frac{a}{- d^{2} + e^{2} x^{2}}\, dx - \int \frac{F^{\frac{c \sqrt{d + e x}}{\sqrt{d f - e f x}}} b}{- d^{2} + e^{2} x^{2}}\, dx"," ",0,"-Integral(a/(-d**2 + e**2*x**2), x) - Integral(F**(c*sqrt(d + e*x)/sqrt(d*f - e*f*x))*b/(-d**2 + e**2*x**2), x)","F",0
554,1,20,0,0.141177," ","integrate(1/(-e**2*x**2+d**2),x)","- \frac{\frac{\log{\left(- \frac{d}{e} + x \right)}}{2} - \frac{\log{\left(\frac{d}{e} + x \right)}}{2}}{d e}"," ",0,"-(log(-d/e + x)/2 - log(d/e + x)/2)/(d*e)","B",0
555,0,0,0,0.000000," ","integrate(1/(a+b*F**(c*(e*x+d)**(1/2)/(-e*f*x+d*f)**(1/2)))/(-e**2*x**2+d**2),x)","- \int \frac{1}{- F^{\frac{c \sqrt{d + e x}}{\sqrt{d f - e f x}}} b d^{2} + F^{\frac{c \sqrt{d + e x}}{\sqrt{d f - e f x}}} b e^{2} x^{2} - a d^{2} + a e^{2} x^{2}}\, dx"," ",0,"-Integral(1/(-F**(c*sqrt(d + e*x)/sqrt(d*f - e*f*x))*b*d**2 + F**(c*sqrt(d + e*x)/sqrt(d*f - e*f*x))*b*e**2*x**2 - a*d**2 + a*e**2*x**2), x)","F",0
556,-1,0,0,0.000000," ","integrate(1/(a+b*F**(c*(e*x+d)**(1/2)/(-e*f*x+d*f)**(1/2)))**2/(-e**2*x**2+d**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
557,0,0,0,0.000000," ","integrate((F**((-a*x+1)**(1/2)/(a*x+1)**(1/2)))**n/(-a**2*x**2+1),x)","- \int \frac{\left(F^{\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}}}\right)^{n}}{a^{2} x^{2} - 1}\, dx"," ",0,"-Integral((F**(sqrt(-a*x + 1)/sqrt(a*x + 1)))**n/(a**2*x**2 - 1), x)","F",0
558,0,0,0,0.000000," ","integrate(F**(3*(-a*x+1)**(1/2)/(a*x+1)**(1/2))/(-a**2*x**2+1),x)","- \int \frac{F^{\frac{3 \sqrt{- a x + 1}}{\sqrt{a x + 1}}}}{a^{2} x^{2} - 1}\, dx"," ",0,"-Integral(F**(3*sqrt(-a*x + 1)/sqrt(a*x + 1))/(a**2*x**2 - 1), x)","F",0
559,0,0,0,0.000000," ","integrate(F**(2*(-a*x+1)**(1/2)/(a*x+1)**(1/2))/(-a**2*x**2+1),x)","- \int \frac{F^{\frac{2 \sqrt{- a x + 1}}{\sqrt{a x + 1}}}}{a^{2} x^{2} - 1}\, dx"," ",0,"-Integral(F**(2*sqrt(-a*x + 1)/sqrt(a*x + 1))/(a**2*x**2 - 1), x)","F",0
560,0,0,0,0.000000," ","integrate(F**((-a*x+1)**(1/2)/(a*x+1)**(1/2))/(-a**2*x**2+1),x)","- \int \frac{F^{\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}}}}{a^{2} x^{2} - 1}\, dx"," ",0,"-Integral(F**(sqrt(-a*x + 1)/sqrt(a*x + 1))/(a**2*x**2 - 1), x)","F",0
561,0,0,0,0.000000," ","integrate(1/(F**((-a*x+1)**(1/2)/(a*x+1)**(1/2)))/(-a**2*x**2+1),x)","- \int \frac{1}{F^{\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}}} a^{2} x^{2} - F^{\frac{\sqrt{- a x + 1}}{\sqrt{a x + 1}}}}\, dx"," ",0,"-Integral(1/(F**(sqrt(-a*x + 1)/sqrt(a*x + 1))*a**2*x**2 - F**(sqrt(-a*x + 1)/sqrt(a*x + 1))), x)","F",0
562,0,0,0,0.000000," ","integrate(1/(F**(2*(-a*x+1)**(1/2)/(a*x+1)**(1/2)))/(-a**2*x**2+1),x)","- \int \frac{1}{F^{\frac{2 \sqrt{- a x + 1}}{\sqrt{a x + 1}}} a^{2} x^{2} - F^{\frac{2 \sqrt{- a x + 1}}{\sqrt{a x + 1}}}}\, dx"," ",0,"-Integral(1/(F**(2*sqrt(-a*x + 1)/sqrt(a*x + 1))*a**2*x**2 - F**(2*sqrt(-a*x + 1)/sqrt(a*x + 1))), x)","F",0
563,1,279,0,2.287651," ","integrate(a**x*b**x*x**2,x)","\begin{cases} \frac{a^{x} b^{x} x^{2} \log{\left(a \right)}^{2}}{\log{\left(a \right)}^{3} + 3 \log{\left(a \right)}^{2} \log{\left(b \right)} + 3 \log{\left(a \right)} \log{\left(b \right)}^{2} + \log{\left(b \right)}^{3}} + \frac{2 a^{x} b^{x} x^{2} \log{\left(a \right)} \log{\left(b \right)}}{\log{\left(a \right)}^{3} + 3 \log{\left(a \right)}^{2} \log{\left(b \right)} + 3 \log{\left(a \right)} \log{\left(b \right)}^{2} + \log{\left(b \right)}^{3}} + \frac{a^{x} b^{x} x^{2} \log{\left(b \right)}^{2}}{\log{\left(a \right)}^{3} + 3 \log{\left(a \right)}^{2} \log{\left(b \right)} + 3 \log{\left(a \right)} \log{\left(b \right)}^{2} + \log{\left(b \right)}^{3}} - \frac{2 a^{x} b^{x} x \log{\left(a \right)}}{\log{\left(a \right)}^{3} + 3 \log{\left(a \right)}^{2} \log{\left(b \right)} + 3 \log{\left(a \right)} \log{\left(b \right)}^{2} + \log{\left(b \right)}^{3}} - \frac{2 a^{x} b^{x} x \log{\left(b \right)}}{\log{\left(a \right)}^{3} + 3 \log{\left(a \right)}^{2} \log{\left(b \right)} + 3 \log{\left(a \right)} \log{\left(b \right)}^{2} + \log{\left(b \right)}^{3}} + \frac{2 a^{x} b^{x}}{\log{\left(a \right)}^{3} + 3 \log{\left(a \right)}^{2} \log{\left(b \right)} + 3 \log{\left(a \right)} \log{\left(b \right)}^{2} + \log{\left(b \right)}^{3}} & \text{for}\: a \neq \frac{1}{b} \\\tilde{\infty} b^{x} \left(\frac{1}{b}\right)^{x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**x*b**x*x**2*log(a)**2/(log(a)**3 + 3*log(a)**2*log(b) + 3*log(a)*log(b)**2 + log(b)**3) + 2*a**x*b**x*x**2*log(a)*log(b)/(log(a)**3 + 3*log(a)**2*log(b) + 3*log(a)*log(b)**2 + log(b)**3) + a**x*b**x*x**2*log(b)**2/(log(a)**3 + 3*log(a)**2*log(b) + 3*log(a)*log(b)**2 + log(b)**3) - 2*a**x*b**x*x*log(a)/(log(a)**3 + 3*log(a)**2*log(b) + 3*log(a)*log(b)**2 + log(b)**3) - 2*a**x*b**x*x*log(b)/(log(a)**3 + 3*log(a)**2*log(b) + 3*log(a)*log(b)**2 + log(b)**3) + 2*a**x*b**x/(log(a)**3 + 3*log(a)**2*log(b) + 3*log(a)*log(b)**2 + log(b)**3), Ne(a, 1/b)), (zoo*b**x*(1/b)**x, True))","A",0
564,1,97,0,1.150025," ","integrate(a**x*b**x*x,x)","\begin{cases} \frac{a^{x} b^{x} x \log{\left(a \right)}}{\log{\left(a \right)}^{2} + 2 \log{\left(a \right)} \log{\left(b \right)} + \log{\left(b \right)}^{2}} + \frac{a^{x} b^{x} x \log{\left(b \right)}}{\log{\left(a \right)}^{2} + 2 \log{\left(a \right)} \log{\left(b \right)} + \log{\left(b \right)}^{2}} - \frac{a^{x} b^{x}}{\log{\left(a \right)}^{2} + 2 \log{\left(a \right)} \log{\left(b \right)} + \log{\left(b \right)}^{2}} & \text{for}\: a \neq \frac{1}{b} \\\tilde{\infty} b^{x} \left(\frac{1}{b}\right)^{x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**x*b**x*x*log(a)/(log(a)**2 + 2*log(a)*log(b) + log(b)**2) + a**x*b**x*x*log(b)/(log(a)**2 + 2*log(a)*log(b) + log(b)**2) - a**x*b**x/(log(a)**2 + 2*log(a)*log(b) + log(b)**2), Ne(a, 1/b)), (zoo*b**x*(1/b)**x, True))","A",0
565,1,24,0,0.567713," ","integrate(a**x*b**x,x)","\begin{cases} \frac{a^{x} b^{x}}{\log{\left(a \right)} + \log{\left(b \right)}} & \text{for}\: a \neq \frac{1}{b} \\\tilde{\infty} b^{x} \left(\frac{1}{b}\right)^{x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**x*b**x/(log(a) + log(b)), Ne(a, 1/b)), (zoo*b**x*(1/b)**x, True))","A",0
566,0,0,0,0.000000," ","integrate(a**x*b**x/x,x)","\int \frac{a^{x} b^{x}}{x}\, dx"," ",0,"Integral(a**x*b**x/x, x)","F",0
567,0,0,0,0.000000," ","integrate(a**x*b**x/x**2,x)","\int \frac{a^{x} b^{x}}{x^{2}}\, dx"," ",0,"Integral(a**x*b**x/x**2, x)","F",0
568,0,0,0,0.000000," ","integrate(a**x*b**x/x**3,x)","\int \frac{a^{x} b^{x}}{x^{3}}\, dx"," ",0,"Integral(a**x*b**x/x**3, x)","F",0
569,1,41,0,2.412733," ","integrate(a**x*b**x*c**x,x)","\begin{cases} \frac{a^{x} b^{x} c^{x}}{\log{\left(a \right)} + \log{\left(b \right)} + \log{\left(c \right)}} & \text{for}\: a \neq \frac{1}{b c} \\\tilde{\infty} b^{x} c^{x} \left(\frac{1}{b}\right)^{x} \left(\frac{1}{c}\right)^{x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**x*b**x*c**x/(log(a) + log(b) + log(c)), Ne(a, 1/(b*c))), (zoo*b**x*c**x*(1/b)**x*(1/c)**x, True))","A",0
570,-2,0,0,0.000000," ","integrate(a**x/(b**x),x)","\text{Exception raised: TypeError}"," ",0,"Exception raised: TypeError","F(-2)",0
571,1,333,0,1.743804," ","integrate(a**x*x**2/(b**x),x)","\begin{cases} \frac{a^{x} x^{2} \log{\left(a \right)}^{2}}{b^{x} \log{\left(a \right)}^{3} - 3 b^{x} \log{\left(a \right)}^{2} \log{\left(b \right)} + 3 b^{x} \log{\left(a \right)} \log{\left(b \right)}^{2} - b^{x} \log{\left(b \right)}^{3}} - \frac{2 a^{x} x^{2} \log{\left(a \right)} \log{\left(b \right)}}{b^{x} \log{\left(a \right)}^{3} - 3 b^{x} \log{\left(a \right)}^{2} \log{\left(b \right)} + 3 b^{x} \log{\left(a \right)} \log{\left(b \right)}^{2} - b^{x} \log{\left(b \right)}^{3}} + \frac{a^{x} x^{2} \log{\left(b \right)}^{2}}{b^{x} \log{\left(a \right)}^{3} - 3 b^{x} \log{\left(a \right)}^{2} \log{\left(b \right)} + 3 b^{x} \log{\left(a \right)} \log{\left(b \right)}^{2} - b^{x} \log{\left(b \right)}^{3}} - \frac{2 a^{x} x \log{\left(a \right)}}{b^{x} \log{\left(a \right)}^{3} - 3 b^{x} \log{\left(a \right)}^{2} \log{\left(b \right)} + 3 b^{x} \log{\left(a \right)} \log{\left(b \right)}^{2} - b^{x} \log{\left(b \right)}^{3}} + \frac{2 a^{x} x \log{\left(b \right)}}{b^{x} \log{\left(a \right)}^{3} - 3 b^{x} \log{\left(a \right)}^{2} \log{\left(b \right)} + 3 b^{x} \log{\left(a \right)} \log{\left(b \right)}^{2} - b^{x} \log{\left(b \right)}^{3}} + \frac{2 a^{x}}{b^{x} \log{\left(a \right)}^{3} - 3 b^{x} \log{\left(a \right)}^{2} \log{\left(b \right)} + 3 b^{x} \log{\left(a \right)} \log{\left(b \right)}^{2} - b^{x} \log{\left(b \right)}^{3}} & \text{for}\: a \neq b \\\frac{x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**x*x**2*log(a)**2/(b**x*log(a)**3 - 3*b**x*log(a)**2*log(b) + 3*b**x*log(a)*log(b)**2 - b**x*log(b)**3) - 2*a**x*x**2*log(a)*log(b)/(b**x*log(a)**3 - 3*b**x*log(a)**2*log(b) + 3*b**x*log(a)*log(b)**2 - b**x*log(b)**3) + a**x*x**2*log(b)**2/(b**x*log(a)**3 - 3*b**x*log(a)**2*log(b) + 3*b**x*log(a)*log(b)**2 - b**x*log(b)**3) - 2*a**x*x*log(a)/(b**x*log(a)**3 - 3*b**x*log(a)**2*log(b) + 3*b**x*log(a)*log(b)**2 - b**x*log(b)**3) + 2*a**x*x*log(b)/(b**x*log(a)**3 - 3*b**x*log(a)**2*log(b) + 3*b**x*log(a)*log(b)**2 - b**x*log(b)**3) + 2*a**x/(b**x*log(a)**3 - 3*b**x*log(a)**2*log(b) + 3*b**x*log(a)*log(b)**2 - b**x*log(b)**3), Ne(a, b)), (x**3/3, True))","A",0
572,0,0,0,0.000000," ","integrate((d+e*exp(i*x+h))*(g*x+f)**3/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x)","\int \frac{\left(d + e e^{h} e^{i x}\right) \left(f + g x\right)^{3}}{a + b e^{h} e^{i x} + c e^{2 h} e^{2 i x}}\, dx"," ",0,"Integral((d + e*exp(h)*exp(i*x))*(f + g*x)**3/(a + b*exp(h)*exp(i*x) + c*exp(2*h)*exp(2*i*x)), x)","F",0
573,0,0,0,0.000000," ","integrate((d+e*exp(i*x+h))*(g*x+f)**2/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x)","\int \frac{\left(d + e e^{h} e^{i x}\right) \left(f + g x\right)^{2}}{a + b e^{h} e^{i x} + c e^{2 h} e^{2 i x}}\, dx"," ",0,"Integral((d + e*exp(h)*exp(i*x))*(f + g*x)**2/(a + b*exp(h)*exp(i*x) + c*exp(2*h)*exp(2*i*x)), x)","F",0
574,0,0,0,0.000000," ","integrate((d+e*exp(i*x+h))*(g*x+f)/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x)","\int \frac{\left(d + e e^{h} e^{i x}\right) \left(f + g x\right)}{a + b e^{h} e^{i x} + c e^{2 h} e^{2 i x}}\, dx"," ",0,"Integral((d + e*exp(h)*exp(i*x))*(f + g*x)/(a + b*exp(h)*exp(i*x) + c*exp(2*h)*exp(2*i*x)), x)","F",0
575,1,116,0,1.029832," ","integrate((d+e*exp(i*x+h))/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h)),x)","\operatorname{RootSum} {\left(z^{2} \left(4 a^{2} c i^{2} - a b^{2} i^{2}\right) + z \left(4 a c d i - b^{2} d i\right) + a e^{2} - b d e + c d^{2}, \left( i \mapsto i \log{\left(e^{h + i x} + \frac{4 i a^{2} c i - i a b^{2} i + a b e + 2 a c d - b^{2} d}{2 a c e - b c d} \right)} \right)\right)} + \frac{d x}{a}"," ",0,"RootSum(_z**2*(4*a**2*c*i**2 - a*b**2*i**2) + _z*(4*a*c*d*i - b**2*d*i) + a*e**2 - b*d*e + c*d**2, Lambda(_i, _i*log(exp(h + i*x) + (4*_i*a**2*c*i - _i*a*b**2*i + a*b*e + 2*a*c*d - b**2*d)/(2*a*c*e - b*c*d)))) + d*x/a","A",0
576,0,0,0,0.000000," ","integrate((d+e*exp(i*x+h))/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h))/(g*x+f),x)","\int \frac{d + e e^{h} e^{i x}}{\left(f + g x\right) \left(a + b e^{h} e^{i x} + c e^{2 h} e^{2 i x}\right)}\, dx"," ",0,"Integral((d + e*exp(h)*exp(i*x))/((f + g*x)*(a + b*exp(h)*exp(i*x) + c*exp(2*h)*exp(2*i*x))), x)","F",0
577,-1,0,0,0.000000," ","integrate((d+e*exp(i*x+h))/(a+b*exp(i*x+h)+c*exp(2*i*x+2*h))/(g*x+f)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
578,0,0,0,0.000000," ","integrate((b*e-a*e*exp(d*x+c))*x/(b*e-2*a*e*exp(d*x+c)-b*e*exp(2*d*x+2*c)),x)","\int \frac{x \left(a e^{c} e^{d x} - b\right)}{2 a e^{c} e^{d x} + b e^{2 c} e^{2 d x} - b}\, dx"," ",0,"Integral(x*(a*exp(c)*exp(d*x) - b)/(2*a*exp(c)*exp(d*x) + b*exp(2*c)*exp(2*d*x) - b), x)","F",0
579,-1,0,0,0.000000," ","integrate(F**(a+b*ln(c+d*x**n))*x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
580,-1,0,0,0.000000," ","integrate(F**(a+b*ln(c+d*x**n))*x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
581,-1,0,0,0.000000," ","integrate(F**(a+b*ln(c+d*x**n)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
582,0,0,0,0.000000," ","integrate(F**(a+b*ln(c+d*x**n))/x,x)","\int \frac{F^{a + b \log{\left(c + d x^{n} \right)}}}{x}\, dx"," ",0,"Integral(F**(a + b*log(c + d*x**n))/x, x)","F",0
583,-1,0,0,0.000000," ","integrate(F**(a+b*ln(c+d*x**n))/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
584,-1,0,0,0.000000," ","integrate(F**(a+b*ln(c+d*x**n))/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
585,-1,0,0,0.000000," ","integrate(F**(a+b*ln(c+d*x**n))*(d*x)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
586,0,0,0,0.000000," ","integrate(exp(ln((e*x+d)**n)**2)*(e*x+d)**m,x)","\int \left(d + e x\right)^{m} e^{\log{\left(\left(d + e x\right)^{n} \right)}^{2}}\, dx"," ",0,"Integral((d + e*x)**m*exp(log((d + e*x)**n)**2), x)","F",0
587,0,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2))*(e*g*x+d*g)**m,x)","\int F^{f \left(a + b \log{\left(c \left(d + e x\right)^{n} \right)}^{2}\right)} \left(g \left(d + e x\right)\right)^{m}\, dx"," ",0,"Integral(F**(f*(a + b*log(c*(d + e*x)**n)**2))*(g*(d + e*x))**m, x)","F",0
588,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2))*(e*g*x+d*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
589,1,838,0,110.480426," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2))*(e*g*x+d*g),x)","\begin{cases} - \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d^{2} f g n^{2} \log{\left(F \right)} \log{\left(d + e x \right)}}{2 e} - \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d^{2} f g n^{2} \log{\left(F \right)}}{2 e} - \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d^{2} f g n \log{\left(F \right)} \log{\left(c \right)}}{2 e} - F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f g n^{2} x \log{\left(F \right)} \log{\left(d + e x \right)} + \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f g n^{2} x \log{\left(F \right)}}{2} - F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f g n x \log{\left(F \right)} \log{\left(c \right)} - \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b e f g n^{2} x^{2} \log{\left(F \right)} \log{\left(d + e x \right)}}{2} + \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b e f g n^{2} x^{2} \log{\left(F \right)}}{4} - \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b e f g n x^{2} \log{\left(F \right)} \log{\left(c \right)}}{2} + \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} d^{2} g}{2 e} + F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} d g x + \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} e g x^{2}}{2} & \text{for}\: e \neq 0 \\F^{f \left(a + b \log{\left(c d^{n} \right)}^{2}\right)} d g x & \text{otherwise} \end{cases}"," ",0,"Piecewise((-F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d**2*f*g*n**2*log(F)*log(d + e*x)/(2*e) - F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d**2*f*g*n**2*log(F)/(2*e) - F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d**2*f*g*n*log(F)*log(c)/(2*e) - F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*g*n**2*x*log(F)*log(d + e*x) + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*g*n**2*x*log(F)/2 - F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*g*n*x*log(F)*log(c) - F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*e*f*g*n**2*x**2*log(F)*log(d + e*x)/2 + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*e*f*g*n**2*x**2*log(F)/4 - F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*e*f*g*n*x**2*log(F)*log(c)/2 + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*d**2*g/(2*e) + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*d*g*x + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*e*g*x**2/2, Ne(e, 0)), (F**(f*(a + b*log(c*d**n)**2))*d*g*x, True))","A",0
590,1,532,0,29.710690," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2)),x)","\begin{cases} - \frac{2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f n^{2} \log{\left(F \right)} \log{\left(d + e x \right)}}{e} - \frac{2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f n^{2} \log{\left(F \right)}}{e} - \frac{2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f n \log{\left(F \right)} \log{\left(c \right)}}{e} - 2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b f n^{2} x \log{\left(F \right)} \log{\left(d + e x \right)} + 2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b f n^{2} x \log{\left(F \right)} - 2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b f n x \log{\left(F \right)} \log{\left(c \right)} + \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} d}{e} + F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} x & \text{for}\: e \neq 0 \\F^{f \left(a + b \log{\left(c d^{n} \right)}^{2}\right)} x & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*n**2*log(F)*log(d + e*x)/e - 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*n**2*log(F)/e - 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*n*log(F)*log(c)/e - 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*f*n**2*x*log(F)*log(d + e*x) + 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*f*n**2*x*log(F) - 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*f*n*x*log(F)*log(c) + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*d/e + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*x, Ne(e, 0)), (F**(f*(a + b*log(c*d**n)**2))*x, True))","A",0
591,0,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2))/(e*g*x+d*g),x)","\frac{\int \frac{F^{a f} F^{b f \log{\left(c \left(d + e x\right)^{n} \right)}^{2}}}{d + e x}\, dx}{g}"," ",0,"Integral(F**(a*f)*F**(b*f*log(c*(d + e*x)**n)**2)/(d + e*x), x)/g","F",0
592,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2))/(e*g*x+d*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
593,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2))/(e*g*x+d*g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
594,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2))*(h*x+g)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
595,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2))*(h*x+g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
596,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2))*(h*x+g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
597,1,1329,0,113.966721," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2))*(h*x+g),x)","\begin{cases} \frac{3 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d^{2} f h n^{2} \log{\left(F \right)} \log{\left(d + e x \right)}}{2 e^{2}} + \frac{3 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d^{2} f h n^{2} \log{\left(F \right)}}{2 e^{2}} + \frac{3 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d^{2} f h n \log{\left(F \right)} \log{\left(c \right)}}{2 e^{2}} - \frac{2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f g n^{2} \log{\left(F \right)} \log{\left(d + e x \right)}}{e} - \frac{2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f g n^{2} \log{\left(F \right)}}{e} - \frac{2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f g n \log{\left(F \right)} \log{\left(c \right)}}{e} + \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f h n^{2} x \log{\left(F \right)} \log{\left(d + e x \right)}}{e} - \frac{3 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f h n^{2} x \log{\left(F \right)}}{2 e} + \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f h n x \log{\left(F \right)} \log{\left(c \right)}}{e} - 2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b f g n^{2} x \log{\left(F \right)} \log{\left(d + e x \right)} + 2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b f g n^{2} x \log{\left(F \right)} - 2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b f g n x \log{\left(F \right)} \log{\left(c \right)} - \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b f h n^{2} x^{2} \log{\left(F \right)} \log{\left(d + e x \right)}}{2} + \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b f h n^{2} x^{2} \log{\left(F \right)}}{4} - \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b f h n x^{2} \log{\left(F \right)} \log{\left(c \right)}}{2} - \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} d^{2} h}{2 e^{2}} + \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} d g}{e} + F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} g x + \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} h x^{2}}{2} & \text{for}\: e \neq 0 \\F^{f \left(a + b \log{\left(c d^{n} \right)}^{2}\right)} \left(g x + \frac{h x^{2}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((3*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d**2*f*h*n**2*log(F)*log(d + e*x)/(2*e**2) + 3*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d**2*f*h*n**2*log(F)/(2*e**2) + 3*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d**2*f*h*n*log(F)*log(c)/(2*e**2) - 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*g*n**2*log(F)*log(d + e*x)/e - 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*g*n**2*log(F)/e - 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*g*n*log(F)*log(c)/e + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*h*n**2*x*log(F)*log(d + e*x)/e - 3*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*h*n**2*x*log(F)/(2*e) + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*h*n*x*log(F)*log(c)/e - 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*f*g*n**2*x*log(F)*log(d + e*x) + 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*f*g*n**2*x*log(F) - 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*f*g*n*x*log(F)*log(c) - F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*f*h*n**2*x**2*log(F)*log(d + e*x)/2 + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*f*h*n**2*x**2*log(F)/4 - F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*f*h*n*x**2*log(F)*log(c)/2 - F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*d**2*h/(2*e**2) + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*d*g/e + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*g*x + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*h*x**2/2, Ne(e, 0)), (F**(f*(a + b*log(c*d**n)**2))*(g*x + h*x**2/2), True))","A",0
598,1,532,0,29.051152," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2)),x)","\begin{cases} - \frac{2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f n^{2} \log{\left(F \right)} \log{\left(d + e x \right)}}{e} - \frac{2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f n^{2} \log{\left(F \right)}}{e} - \frac{2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b d f n \log{\left(F \right)} \log{\left(c \right)}}{e} - 2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b f n^{2} x \log{\left(F \right)} \log{\left(d + e x \right)} + 2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b f n^{2} x \log{\left(F \right)} - 2 F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} b f n x \log{\left(F \right)} \log{\left(c \right)} + \frac{F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} d}{e} + F^{a f} F^{b f \log{\left(c \right)}^{2}} F^{b f n^{2} \log{\left(d + e x \right)}^{2}} F^{2 b f n \log{\left(c \right)} \log{\left(d + e x \right)}} x & \text{for}\: e \neq 0 \\F^{f \left(a + b \log{\left(c d^{n} \right)}^{2}\right)} x & \text{otherwise} \end{cases}"," ",0,"Piecewise((-2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*n**2*log(F)*log(d + e*x)/e - 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*n**2*log(F)/e - 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*d*f*n*log(F)*log(c)/e - 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*f*n**2*x*log(F)*log(d + e*x) + 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*f*n**2*x*log(F) - 2*F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*b*f*n*x*log(F)*log(c) + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*d/e + F**(a*f)*F**(b*f*log(c)**2)*F**(b*f*n**2*log(d + e*x)**2)*F**(2*b*f*n*log(c)*log(d + e*x))*x, Ne(e, 0)), (F**(f*(a + b*log(c*d**n)**2))*x, True))","A",0
599,0,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2))/(h*x+g),x)","\int \frac{F^{f \left(a + b \log{\left(c \left(d + e x\right)^{n} \right)}^{2}\right)}}{g + h x}\, dx"," ",0,"Integral(F**(f*(a + b*log(c*(d + e*x)**n)**2))/(g + h*x), x)","F",0
600,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2))/(h*x+g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
601,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n)**2))/(h*x+g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
602,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2)*(e*g*x+d*g)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
603,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2)*(e*g*x+d*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
604,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2)*(e*g*x+d*g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
605,0,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2),x)","\int F^{f \left(a + b \log{\left(c \left(d + e x\right)^{n} \right)}\right)^{2}}\, dx"," ",0,"Integral(F**(f*(a + b*log(c*(d + e*x)**n))**2), x)","F",0
606,0,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2)/(e*g*x+d*g),x)","\frac{\int \frac{F^{a^{2} f} F^{b^{2} f \log{\left(c \left(d + e x\right)^{n} \right)}^{2}} F^{2 a b f \log{\left(c \left(d + e x\right)^{n} \right)}}}{d + e x}\, dx}{g}"," ",0,"Integral(F**(a**2*f)*F**(b**2*f*log(c*(d + e*x)**n)**2)*F**(2*a*b*f*log(c*(d + e*x)**n))/(d + e*x), x)/g","F",0
607,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2)/(e*g*x+d*g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
608,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2)/(e*g*x+d*g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
609,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2)*(h*x+g)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
610,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2)*(h*x+g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
611,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2)*(h*x+g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
612,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2)*(h*x+g),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
613,0,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2),x)","\int F^{f \left(a + b \log{\left(c \left(d + e x\right)^{n} \right)}\right)^{2}}\, dx"," ",0,"Integral(F**(f*(a + b*log(c*(d + e*x)**n))**2), x)","F",0
614,0,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2)/(h*x+g),x)","\int \frac{F^{f \left(a + b \log{\left(c \left(d + e x\right)^{n} \right)}\right)^{2}}}{g + h x}\, dx"," ",0,"Integral(F**(f*(a + b*log(c*(d + e*x)**n))**2)/(g + h*x), x)","F",0
615,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2)/(h*x+g)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
616,-1,0,0,0.000000," ","integrate(F**(f*(a+b*ln(c*(e*x+d)**n))**2)/(h*x+g)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
617,1,24,0,0.144543," ","integrate(F**(c*x**3+b*x+a)*(3*c*x**2+b),x)","\begin{cases} \frac{F^{a + b x + c x^{3}}}{\log{\left(F \right)}} & \text{for}\: \log{\left(F \right)} \neq 0 \\b x + c x^{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*x + c*x**3)/log(F), Ne(log(F), 0)), (b*x + c*x**3, True))","A",0
618,1,32,0,0.570309," ","integrate(F**(1/(c*x**2+b*x+a))*(2*c*x+b)/(c*x**2+b*x+a)**2,x)","\begin{cases} - \frac{F^{\frac{1}{a + b x + c x^{2}}}}{\log{\left(F \right)}} & \text{for}\: \log{\left(F \right)} \neq 0 \\- \frac{1}{a + b x + c x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-F**(1/(a + b*x + c*x**2))/log(F), Ne(log(F), 0)), (-1/(a + b*x + c*x**2), True))","A",0
619,-1,0,0,0.000000," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)*(c*x**2+b*x+a)**m,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
620,1,160,0,0.291205," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)*(c*x**2+b*x+a)**3,x)","\left(a^{3} + 3 a^{2} b x + 3 a^{2} c x^{2} - 3 a^{2} + 3 a b^{2} x^{2} + 6 a b c x^{3} - 6 a b x + 3 a c^{2} x^{4} - 6 a c x^{2} + 6 a + b^{3} x^{3} + 3 b^{2} c x^{4} - 3 b^{2} x^{2} + 3 b c^{2} x^{5} - 6 b c x^{3} + 6 b x + c^{3} x^{6} - 3 c^{2} x^{4} + 6 c x^{2} - 6\right) e^{a + b x + c x^{2}}"," ",0,"(a**3 + 3*a**2*b*x + 3*a**2*c*x**2 - 3*a**2 + 3*a*b**2*x**2 + 6*a*b*c*x**3 - 6*a*b*x + 3*a*c**2*x**4 - 6*a*c*x**2 + 6*a + b**3*x**3 + 3*b**2*c*x**4 - 3*b**2*x**2 + 3*b*c**2*x**5 - 6*b*c*x**3 + 6*b*x + c**3*x**6 - 3*c**2*x**4 + 6*c*x**2 - 6)*exp(a + b*x + c*x**2)","A",0
621,1,68,0,0.200712," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)*(c*x**2+b*x+a)**2,x)","\left(a^{2} + 2 a b x + 2 a c x^{2} - 2 a + b^{2} x^{2} + 2 b c x^{3} - 2 b x + c^{2} x^{4} - 2 c x^{2} + 2\right) e^{a + b x + c x^{2}}"," ",0,"(a**2 + 2*a*b*x + 2*a*c*x**2 - 2*a + b**2*x**2 + 2*b*c*x**3 - 2*b*x + c**2*x**4 - 2*c*x**2 + 2)*exp(a + b*x + c*x**2)","A",0
622,1,22,0,0.147084," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)*(c*x**2+b*x+a),x)","\left(a + b x + c x^{2} - 1\right) e^{a + b x + c x^{2}}"," ",0,"(a + b*x + c*x**2 - 1)*exp(a + b*x + c*x**2)","A",0
623,1,10,0,0.110229," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b),x)","e^{a + b x + c x^{2}}"," ",0,"exp(a + b*x + c*x**2)","A",0
624,1,10,0,21.019059," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)/(c*x**2+b*x+a),x)","\operatorname{Ei}{\left(a + b x + c x^{2} \right)}"," ",0,"Ei(a + b*x + c*x**2)","A",0
625,1,24,0,159.333683," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)/(c*x**2+b*x+a)**2,x)","- \frac{\operatorname{E}_{2}\left(- a - b x - c x^{2}\right)}{a + b x + c x^{2}}"," ",0,"-expint(2, -a - b*x - c*x**2)/(a + b*x + c*x**2)","A",0
626,-1,0,0,0.000000," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)/(c*x**2+b*x+a)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
627,-1,0,0,0.000000," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)*(c*x**2+b*x+a)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
628,-1,0,0,0.000000," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)*(c*x**2+b*x+a)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
629,1,94,0,86.527039," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)*(c*x**2+b*x+a)**(3/2),x)","\frac{\left(- \sqrt{- a - b x - c x^{2}} \left(a + b x + c x^{2} - \frac{3}{2}\right) e^{a + b x + c x^{2}} + \frac{3 \sqrt{\pi} \operatorname{erfc}{\left(\sqrt{- a - b x - c x^{2}} \right)}}{4}\right) \left(a + b x + c x^{2}\right)^{\frac{3}{2}}}{\left(- a - b x - c x^{2}\right)^{\frac{3}{2}}}"," ",0,"(-sqrt(-a - b*x - c*x**2)*(a + b*x + c*x**2 - 3/2)*exp(a + b*x + c*x**2) + 3*sqrt(pi)*erfc(sqrt(-a - b*x - c*x**2))/4)*(a + b*x + c*x**2)**(3/2)/(-a - b*x - c*x**2)**(3/2)","A",0
630,1,78,0,5.804515," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)*(c*x**2+b*x+a)**(1/2),x)","\frac{\left(\sqrt{- a - b x - c x^{2}} e^{a + b x + c x^{2}} + \frac{\sqrt{\pi} \operatorname{erfc}{\left(\sqrt{- a - b x - c x^{2}} \right)}}{2}\right) \sqrt{a + b x + c x^{2}}}{\sqrt{- a - b x - c x^{2}}}"," ",0,"(sqrt(-a - b*x - c*x**2)*exp(a + b*x + c*x**2) + sqrt(pi)*erfc(sqrt(-a - b*x - c*x**2))/2)*sqrt(a + b*x + c*x**2)/sqrt(-a - b*x - c*x**2)","A",0
631,1,49,0,4.433122," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)/(c*x**2+b*x+a)**(1/2),x)","\frac{\sqrt{\pi} \sqrt{- a - b x - c x^{2}} \operatorname{erfc}{\left(\sqrt{- a - b x - c x^{2}} \right)}}{\sqrt{a + b x + c x^{2}}}"," ",0,"sqrt(pi)*sqrt(-a - b*x - c*x**2)*erfc(sqrt(-a - b*x - c*x**2))/sqrt(a + b*x + c*x**2)","B",0
632,1,80,0,6.487262," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)/(c*x**2+b*x+a)**(3/2),x)","\frac{\left(- 2 \sqrt{\pi} \operatorname{erfc}{\left(\sqrt{- a - b x - c x^{2}} \right)} + \frac{2 e^{a + b x + c x^{2}}}{\sqrt{- a - b x - c x^{2}}}\right) \left(- a - b x - c x^{2}\right)^{\frac{3}{2}}}{\left(a + b x + c x^{2}\right)^{\frac{3}{2}}}"," ",0,"(-2*sqrt(pi)*erfc(sqrt(-a - b*x - c*x**2)) + 2*exp(a + b*x + c*x**2)/sqrt(-a - b*x - c*x**2))*(-a - b*x - c*x**2)**(3/2)/(a + b*x + c*x**2)**(3/2)","A",0
633,1,105,0,37.581548," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)/(c*x**2+b*x+a)**(5/2),x)","\frac{\left(\frac{4 \sqrt{\pi} \operatorname{erfc}{\left(\sqrt{- a - b x - c x^{2}} \right)}}{3} - \frac{\left(- \frac{4 a}{3} - \frac{4 b x}{3} - \frac{4 c x^{2}}{3} - \frac{2}{3}\right) e^{a + b x + c x^{2}}}{\left(- a - b x - c x^{2}\right)^{\frac{3}{2}}}\right) \left(- a - b x - c x^{2}\right)^{\frac{5}{2}}}{\left(a + b x + c x^{2}\right)^{\frac{5}{2}}}"," ",0,"(4*sqrt(pi)*erfc(sqrt(-a - b*x - c*x**2))/3 - (-4*a/3 - 4*b*x/3 - 4*c*x**2/3 - 2/3)*exp(a + b*x + c*x**2)/(-a - b*x - c*x**2)**(3/2))*(-a - b*x - c*x**2)**(5/2)/(a + b*x + c*x**2)**(5/2)","A",0
634,-1,0,0,0.000000," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)/(c*x**2+b*x+a)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
635,-1,0,0,0.000000," ","integrate(exp(c*x**2+b*x+a)*(2*c*x+b)/(c*x**2+b*x+a)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
636,1,7,0,0.988237," ","integrate(1/exp(x)/(1-1/exp(2*x))**(1/2),x)","- \operatorname{asin}{\left(e^{- x} \right)}"," ",0,"-asin(exp(-x))","A",0
637,1,15,0,0.110832," ","integrate(exp(x)/(4+exp(2*x)),x)","\operatorname{RootSum} {\left(16 z^{2} + 1, \left( i \mapsto i \log{\left(8 i + e^{x} \right)} \right)\right)}"," ",0,"RootSum(16*_z**2 + 1, Lambda(_i, _i*log(8*_i + exp(x))))","B",0
638,1,15,0,0.107076," ","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
639,1,15,0,0.118296," ","integrate(exp(x)/(3-4*exp(2*x)),x)","\operatorname{RootSum} {\left(48 z^{2} - 1, \left( i \mapsto i \log{\left(6 i + e^{x} \right)} \right)\right)}"," ",0,"RootSum(48*_z**2 - 1, Lambda(_i, _i*log(6*_i + exp(x))))","A",0
640,1,42,0,1.555907," ","integrate(exp(x)*(3-4*exp(2*x))**(1/2),x)","\begin{cases} \frac{\sqrt{3 - 4 e^{2 x}} e^{x}}{2} + \frac{3 \operatorname{asin}{\left(\frac{2 \sqrt{3} e^{x}}{3} \right)}}{4} & \text{for}\: e^{x} < \log{\left(\frac{\sqrt{3}}{2} \right)} \end{cases}"," ",0,"Piecewise((sqrt(3 - 4*exp(2*x))*exp(x)/2 + 3*asin(2*sqrt(3)*exp(x)/3)/4, exp(x) < log(sqrt(3)/2)))","A",0
641,1,10,0,0.085061," ","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
642,1,24,0,1.345147," ","integrate(exp(x)*(1-exp(2*x))**(1/2),x)","\begin{cases} \frac{\sqrt{1 - e^{2 x}} e^{x}}{2} + \frac{\operatorname{asin}{\left(e^{x} \right)}}{2} & \text{for}\: e^{x} < 0 \end{cases}"," ",0,"Piecewise((sqrt(1 - exp(2*x))*exp(x)/2 + asin(exp(x))/2, exp(x) < 0))","A",0
643,0,0,0,0.000000," ","integrate(exp(x)/(1+exp(x)+exp(2*x))**(1/2),x)","\int \frac{e^{x}}{\sqrt{e^{2 x} + e^{x} + 1}}\, dx"," ",0,"Integral(exp(x)/sqrt(exp(2*x) + exp(x) + 1), x)","F",0
644,1,15,0,0.105611," ","integrate(exp(x)/(-4+exp(2*x)),x)","\frac{\log{\left(e^{x} - 2 \right)}}{4} - \frac{\log{\left(e^{x} + 2 \right)}}{4}"," ",0,"log(exp(x) - 2)/4 - log(exp(x) + 2)/4","A",0
645,1,8,0,0.085504," ","integrate(exp(-x**2+2)*x,x)","- \frac{e^{2 - x^{2}}}{2}"," ",0,"-exp(2 - x**2)/2","A",0
646,1,14,0,0.081306," ","integrate(exp(x)-x**E,x)","- \frac{x^{1 + e}}{1 + e} + e^{x}"," ",0,"-x**(1 + E)/(1 + E) + exp(x)","A",0
647,1,14,0,0.085058," ","integrate((-1+exp(2*x))/(3+exp(2*x)),x)","- \frac{x}{3} + \frac{2 \log{\left(e^{2 x} + 3 \right)}}{3}"," ",0,"-x/3 + 2*log(exp(2*x) + 3)/3","A",0
648,1,3,0,0.706322," ","integrate(exp(x)/(1-exp(2*x))**(1/2),x)","\operatorname{asin}{\left(e^{x} \right)}"," ",0,"asin(exp(x))","A",0
649,1,17,0,0.112811," ","integrate(exp(2*x)/(1+exp(4*x)),x)","\operatorname{RootSum} {\left(16 z^{2} + 1, \left( i \mapsto i \log{\left(4 i + e^{2 x} \right)} \right)\right)}"," ",0,"RootSum(16*_z**2 + 1, Lambda(_i, _i*log(4*_i + exp(2*x))))","B",0
650,1,17,0,0.102648," ","integrate(1/(-3*exp(x)+exp(2*x)),x)","- \frac{x}{9} + \frac{\log{\left(e^{x} - 3 \right)}}{9} + \frac{e^{- x}}{3}"," ",0,"-x/9 + log(exp(x) - 3)/9 + exp(-x)/3","A",0
651,1,10,0,0.090302," ","integrate(exp(x)*(-2+exp(x))/(1+exp(x)),x)","e^{x} - 3 \log{\left(e^{x} + 1 \right)}"," ",0,"exp(x) - 3*log(exp(x) + 1)","A",0
652,1,15,0,0.103955," ","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
653,1,15,0,0.108974," ","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
654,1,8,0,0.094590," ","integrate((exp(-x)+exp(x))/(-1/exp(x)+exp(x)),x)","- x + \log{\left(e^{2 x} - 1 \right)}"," ",0,"-x + log(exp(2*x) - 1)","A",0
655,1,8,0,0.096392," ","integrate((-1/exp(x)+exp(x))/(exp(-x)+exp(x)),x)","- x + \log{\left(e^{2 x} + 1 \right)}"," ",0,"-x + log(exp(2*x) + 1)","A",0
656,1,10,0,0.101155," ","integrate((exp(-2*x)+exp(2*x))/(-1/exp(2*x)+exp(2*x)),x)","- x + \frac{\log{\left(e^{4 x} - 1 \right)}}{2}"," ",0,"-x + log(exp(4*x) - 1)/2","A",0
657,1,3,0,0.644081," ","integrate(exp(x)/(1+exp(2*x))**(1/2),x)","\operatorname{asinh}{\left(e^{x} \right)}"," ",0,"asinh(exp(x))","A",0
658,1,8,0,0.208313," ","integrate(exp((4+x)**(1/2))/(4+x)**(1/2),x)","2 e^{\sqrt{x + 4}}"," ",0,"2*exp(sqrt(x + 4))","A",0
659,0,0,0,0.000000," ","integrate(x/(-1+exp(2*x**2))**(1/2),x)","\int \frac{x}{\sqrt{\left(e^{x^{2}} - 1\right) \left(e^{x^{2}} + 1\right)}}\, dx"," ",0,"Integral(x/sqrt((exp(x**2) - 1)*(exp(x**2) + 1)), x)","F",0
660,0,0,0,0.000000," ","integrate(exp(x)*(9+exp(2*x))**(1/2),x)","\int \sqrt{e^{2 x} + 9} e^{x}\, dx"," ",0,"Integral(sqrt(exp(2*x) + 9)*exp(x), x)","F",0
661,0,0,0,0.000000," ","integrate(exp(x)*(1+exp(2*x))**(1/2),x)","\int \sqrt{e^{2 x} + 1} e^{x}\, dx"," ",0,"Integral(sqrt(exp(2*x) + 1)*exp(x), x)","F",0
662,1,17,0,0.141756," ","integrate(exp(x**2)*x/(1+exp(2*x**2)),x)","\operatorname{RootSum} {\left(16 z^{2} + 1, \left( i \mapsto i \log{\left(4 i + e^{x^{2}} \right)} \right)\right)}"," ",0,"RootSum(16*_z**2 + 1, Lambda(_i, _i*log(4*_i + exp(x**2))))","B",0
663,1,24,0,3.112985," ","integrate(exp(x**(3/2))*x**2,x)","\frac{2 x^{\frac{3}{2}} e^{x^{\frac{3}{2}}}}{3} - \frac{2 e^{x^{\frac{3}{2}}}}{3}"," ",0,"2*x**(3/2)*exp(x**(3/2))/3 - 2*exp(x**(3/2))/3","A",0
664,1,10,0,0.666577," ","integrate(exp(x)/(-3+exp(2*x))**(1/2),x)","\operatorname{acosh}{\left(\frac{\sqrt{3} e^{x}}{3} \right)}"," ",0,"acosh(sqrt(3)*exp(x)/3)","A",0
665,1,15,0,0.108335," ","integrate(exp(x)/(16-exp(2*x)),x)","- \frac{\log{\left(e^{x} - 4 \right)}}{8} + \frac{\log{\left(e^{x} + 4 \right)}}{8}"," ",0,"-log(exp(x) - 4)/8 + log(exp(x) + 4)/8","B",0
666,1,17,0,0.112585," ","integrate(exp(5*x)/(1+exp(10*x)),x)","\operatorname{RootSum} {\left(100 z^{2} + 1, \left( i \mapsto i \log{\left(10 i + e^{5 x} \right)} \right)\right)}"," ",0,"RootSum(100*_z**2 + 1, Lambda(_i, _i*log(10*_i + exp(5*x))))","B",0
667,1,8,0,0.887304," ","integrate(exp(4*x)/(16+exp(8*x))**(1/2),x)","\frac{\operatorname{asinh}{\left(\frac{e^{4 x}}{4} \right)}}{4}"," ",0,"asinh(exp(4*x)/4)/4","A",0
668,1,32,0,1.824818," ","integrate(exp(4*x**3)*x**2*cos(7*x**3),x)","\frac{7 e^{4 x^{3}} \sin{\left(7 x^{3} \right)}}{195} + \frac{4 e^{4 x^{3}} \cos{\left(7 x^{3} \right)}}{195}"," ",0,"7*exp(4*x**3)*sin(7*x**3)/195 + 4*exp(4*x**3)*cos(7*x**3)/195","A",0
669,1,7,0,0.084737," ","integrate(exp(x**2+1)*x,x)","\frac{e^{x^{2} + 1}}{2}"," ",0,"exp(x**2 + 1)/2","A",0
670,1,7,0,0.087610," ","integrate(exp(x**3+1)*x**2,x)","\frac{e^{x^{3} + 1}}{3}"," ",0,"exp(x**3 + 1)/3","A",0
671,1,7,0,0.198911," ","integrate(exp(x**(1/2))/x**(1/2),x)","2 e^{\sqrt{x}}"," ",0,"2*exp(sqrt(x))","A",0
672,1,7,0,0.367918," ","integrate(exp(x**(1/3))/x**(2/3),x)","3 e^{\sqrt[3]{x}}"," ",0,"3*exp(x**(1/3))","A",0
673,1,31,0,0.102778," ","integrate(exp(3*x)*(x**5+2*x**3-8),x)","\frac{\left(81 x^{5} - 135 x^{4} + 342 x^{3} - 342 x^{2} + 228 x - 724\right) e^{3 x}}{243}"," ",0,"(81*x**5 - 135*x**4 + 342*x**3 - 342*x**2 + 228*x - 724)*exp(3*x)/243","A",0
674,1,20,0,0.094333," ","integrate((exp(x)+x)**2,x)","\frac{x^{3}}{3} + \frac{\left(4 x - 4\right) e^{x}}{2} + \frac{e^{2 x}}{2}"," ",0,"x**3/3 + (4*x - 4)*exp(x)/2 + exp(2*x)/2","A",0
675,1,22,0,0.106051," ","integrate((exp(x)+exp(2*x)+exp(3*x))/exp(4*x),x)","- e^{- x} - \frac{e^{- 2 x}}{2} - \frac{e^{- 3 x}}{3}"," ",0,"-exp(-x) - exp(-2*x)/2 - exp(-3*x)/3","A",0
676,1,7,0,0.079700," ","integrate(exp(x)/(1+2*exp(x)+exp(2*x)),x)","- \frac{1}{e^{x} + 1}"," ",0,"-1/(exp(x) + 1)","A",0
677,1,20,0,0.440248," ","integrate(cos(3*x)/exp(x),x)","\frac{3 e^{- x} \sin{\left(3 x \right)}}{10} - \frac{e^{- x} \cos{\left(3 x \right)}}{10}"," ",0,"3*exp(-x)*sin(3*x)/10 - exp(-x)*cos(3*x)/10","A",0
678,1,14,0,0.123914," ","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
679,1,8,0,0.087162," ","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
680,1,26,0,0.297907," ","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
681,0,0,0,0.000000," ","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
682,1,17,0,0.101519," ","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
683,1,24,0,0.288454," ","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
684,0,0,0,0.000000," ","integrate(exp(x)*sec(-1+exp(x))**3,x)","\int e^{x} \sec^{3}{\left(e^{x} - 1 \right)}\, dx"," ",0,"Integral(exp(x)*sec(exp(x) - 1)**3, x)","F",0
685,1,14,0,0.096828," ","integrate((exp(-x)+exp(x))*x,x)","\left(- x - 1\right) e^{- x} + \left(x - 1\right) e^{x}"," ",0,"(-x - 1)*exp(-x) + (x - 1)*exp(x)","A",0
686,1,12,0,0.117996," ","integrate(exp(x)/(2+3*exp(x)+exp(2*x)),x)","\log{\left(e^{x} + 1 \right)} - \log{\left(e^{x} + 2 \right)}"," ",0,"log(exp(x) + 1) - log(exp(x) + 2)","A",0
687,1,22,0,1.992427," ","integrate(exp(2*x)/(1+exp(x))**(1/3),x)","\frac{3 \left(e^{x} + 1\right)^{\frac{5}{3}}}{5} - \frac{3 \left(e^{x} + 1\right)^{\frac{2}{3}}}{2}"," ",0,"3*(exp(x) + 1)**(5/3)/5 - 3*(exp(x) + 1)**(2/3)/2","A",0
688,1,22,0,2.250391," ","integrate(exp(2*x)/(1+exp(x))**(1/4),x)","\frac{4 \left(e^{x} + 1\right)^{\frac{7}{4}}}{7} - \frac{4 \left(e^{x} + 1\right)^{\frac{3}{4}}}{3}"," ",0,"4*(exp(x) + 1)**(7/4)/7 - 4*(exp(x) + 1)**(3/4)/3","A",0
689,0,0,0,0.000000," ","integrate((-exp(x)+2*exp(2*x))/(-1-6*exp(x)+3*exp(2*x))**(1/2),x)","\int \frac{\left(2 e^{x} - 1\right) e^{x}}{\sqrt{3 e^{2 x} - 6 e^{x} - 1}}\, dx"," ",0,"Integral((2*exp(x) - 1)*exp(x)/sqrt(3*exp(2*x) - 6*exp(x) - 1), x)","F",0
690,1,10,0,0.088216," ","integrate(exp(x)*(x**2-5*x),x)","\left(x^{2} - 7 x + 7\right) e^{x}"," ",0,"(x**2 - 7*x + 7)*exp(x)","A",0
691,1,15,0,0.091169," ","integrate(exp(3*x)*(x**2-x),x)","\frac{\left(9 x^{2} - 15 x + 5\right) e^{3 x}}{27}"," ",0,"(9*x**2 - 15*x + 5)*exp(3*x)/27","A",0
692,1,8,0,0.452700," ","integrate(exp(x**x)*x**(2*x)*(1+ln(x)),x)","\left(x^{x} - 1\right) e^{x^{x}}"," ",0,"(x**x - 1)*exp(x**x)","A",0
693,1,5,0,0.112464," ","integrate((exp(5*x)+exp(7*x))/(exp(-x)+exp(x)),x)","\frac{e^{6 x}}{6}"," ",0,"exp(6*x)/6","A",0
694,1,12,0,0.272829," ","integrate(x**(-2-1/x)*(1-ln(x)),x)","- x^{2} x^{-2 - \frac{1}{x}}"," ",0,"-x**2*x**(-2 - 1/x)","A",0
695,1,22,0,0.112899," ","integrate((a+b*exp(x))**2,x)","a^{2} x + 2 a b e^{x} + \frac{b^{2} e^{2 x}}{2}"," ",0,"a**2*x + 2*a*b*exp(x) + b**2*exp(2*x)/2","A",0
696,1,37,0,0.135955," ","integrate((a+b*exp(x))**3,x)","a^{3} x + 3 a^{2} b e^{x} + \frac{3 a b^{2} e^{2 x}}{2} + \frac{b^{3} e^{3 x}}{3}"," ",0,"a**3*x + 3*a**2*b*exp(x) + 3*a*b**2*exp(2*x)/2 + b**3*exp(3*x)/3","A",0
697,1,51,0,0.154749," ","integrate((a+b*exp(x))**4,x)","a^{4} x + 4 a^{3} b e^{x} + 3 a^{2} b^{2} e^{2 x} + \frac{4 a b^{3} e^{3 x}}{3} + \frac{b^{4} e^{4 x}}{4}"," ",0,"a**4*x + 4*a**3*b*exp(x) + 3*a**2*b**2*exp(2*x) + 4*a*b**3*exp(3*x)/3 + b**4*exp(4*x)/4","A",0
698,0,0,0,0.000000," ","integrate(1/(a+b*exp(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{a + b e^{c + d x}}}\, dx"," ",0,"Integral(1/sqrt(a + b*exp(c + d*x)), x)","F",0
699,0,0,0,0.000000," ","integrate(1/(-a+b*exp(d*x+c))**(1/2),x)","\int \frac{1}{\sqrt{- a + b e^{c + d x}}}\, dx"," ",0,"Integral(1/sqrt(-a + b*exp(c + d*x)), x)","F",0
700,0,0,0,0.000000," ","integrate((a+b*exp(d*x+c))**(1/2),x)","\int \sqrt{a + b e^{c + d x}}\, dx"," ",0,"Integral(sqrt(a + b*exp(c + d*x)), x)","F",0
701,0,0,0,0.000000," ","integrate((-a+b*exp(d*x+c))**(1/2),x)","\int \sqrt{- a + b e^{c + d x}}\, dx"," ",0,"Integral(sqrt(-a + b*exp(c + d*x)), x)","F",0
702,1,24,0,0.298352," ","integrate(exp(6*x)*sin(3*x),x)","\frac{2 e^{6 x} \sin{\left(3 x \right)}}{15} - \frac{e^{6 x} \cos{\left(3 x \right)}}{15}"," ",0,"2*exp(6*x)*sin(3*x)/15 - exp(6*x)*cos(3*x)/15","A",0
703,1,19,0,0.119292," ","integrate(exp(3*x)/(1+exp(2*x)),x)","e^{x} + \operatorname{RootSum} {\left(4 z^{2} + 1, \left( i \mapsto i \log{\left(- 2 i + e^{x} \right)} \right)\right)}"," ",0,"exp(x) + RootSum(4*_z**2 + 1, Lambda(_i, _i*log(-2*_i + exp(x))))","B",0
704,1,19,0,0.117743," ","integrate(exp(3*x)/(-1+exp(2*x)),x)","e^{x} + \frac{\log{\left(e^{x} - 1 \right)}}{2} - \frac{\log{\left(e^{x} + 1 \right)}}{2}"," ",0,"exp(x) + log(exp(x) - 1)/2 - log(exp(x) + 1)/2","B",0
705,0,0,0,0.000000," ","integrate(1/exp(x)/(1+exp(2*x))**(1/2),x)","\int \frac{e^{- x}}{\sqrt{e^{2 x} + 1}}\, dx"," ",0,"Integral(exp(-x)/sqrt(exp(2*x) + 1), x)","F",0
706,1,17,0,0.127419," ","integrate(exp(x)/(-1-8*exp(x)+exp(2*x)),x)","\operatorname{RootSum} {\left(68 z^{2} - 1, \left( i \mapsto i \log{\left(- 34 i + e^{x} - 4 \right)} \right)\right)}"," ",0,"RootSum(68*_z**2 - 1, Lambda(_i, _i*log(-34*_i + exp(x) - 4)))","A",0
707,1,20,0,0.090505," ","integrate(exp(7*x)*x**3,x)","\frac{\left(343 x^{3} - 147 x^{2} + 42 x - 6\right) e^{7 x}}{2401}"," ",0,"(343*x**3 - 147*x**2 + 42*x - 6)*exp(7*x)/2401","A",0
708,1,24,0,0.094669," ","integrate(exp(8-2*x)*x**3,x)","\frac{\left(- 4 x^{3} - 6 x^{2} - 6 x - 3\right) e^{8 - 2 x}}{8}"," ",0,"(-4*x**3 - 6*x**2 - 6*x - 3)*exp(8 - 2*x)/8","A",0
709,1,29,0,1.408133," ","integrate(exp(x)*(9-exp(2*x))**(1/2),x)","\begin{cases} \frac{\sqrt{9 - e^{2 x}} e^{x}}{2} + \frac{9 \operatorname{asin}{\left(\frac{e^{x}}{3} \right)}}{2} & \text{for}\: e^{x} < \log{\left(3 \right)} \end{cases}"," ",0,"Piecewise((sqrt(9 - exp(2*x))*exp(x)/2 + 9*asin(exp(x)/3)/2, exp(x) < log(3)))","A",0
710,1,41,0,3.177072," ","integrate(exp(6*x)*(9-exp(2*x))**(1/2),x)","\begin{cases} - \frac{\left(9 - e^{2 x}\right)^{\frac{7}{2}}}{7} + \frac{18 \left(9 - e^{2 x}\right)^{\frac{5}{2}}}{5} - 27 \left(9 - e^{2 x}\right)^{\frac{3}{2}} & \text{for}\: e^{x} < \log{\left(3 \right)} \end{cases}"," ",0,"Piecewise((-(9 - exp(2*x))**(7/2)/7 + 18*(9 - exp(2*x))**(5/2)/5 - 27*(9 - exp(2*x))**(3/2), exp(x) < log(3)))","A",0
711,1,61,0,23.175924," ","integrate(exp(6*x)/(9-exp(x))**(5/2),x)","\frac{2 \left(9 - e^{x}\right)^{\frac{7}{2}}}{7} - 18 \left(9 - e^{x}\right)^{\frac{5}{2}} + 540 \left(9 - e^{x}\right)^{\frac{3}{2}} - 14580 \sqrt{9 - e^{x}} - \frac{65610}{\sqrt{9 - e^{x}}} + \frac{39366}{\left(9 - e^{x}\right)^{\frac{3}{2}}}"," ",0,"2*(9 - exp(x))**(7/2)/7 - 18*(9 - exp(x))**(5/2) + 540*(9 - exp(x))**(3/2) - 14580*sqrt(9 - exp(x)) - 65610/sqrt(9 - exp(x)) + 39366/(9 - exp(x))**(3/2)","A",0
712,1,49,0,0.155282," ","integrate((2-7*exp(x**4))**5*x**3,x)","8 x^{4} - \frac{16807 e^{5 x^{4}}}{20} + \frac{12005 e^{4 x^{4}}}{8} - \frac{3430 e^{3 x^{4}}}{3} + 490 e^{2 x^{4}} - 140 e^{x^{4}}"," ",0,"8*x**4 - 16807*exp(5*x**4)/20 + 12005*exp(4*x**4)/8 - 3430*exp(3*x**4)/3 + 490*exp(2*x**4) - 140*exp(x**4)","A",0
713,1,0,0,59.219182," ","integrate(exp(x**2)*x*(1-exp(2*x**2))**(1/2),x)","\text{NaN}"," ",0,"nan","A",0
714,1,24,0,0.148587," ","integrate(exp(x**3)*(1-exp(4*x**3))**2*x**2,x)","\frac{e^{9 x^{3}}}{27} - \frac{2 e^{5 x^{3}}}{15} + \frac{e^{x^{3}}}{3}"," ",0,"exp(9*x**3)/27 - 2*exp(5*x**3)/15 + exp(x**3)/3","A",0
715,1,3,0,0.642954," ","integrate(exp(exp(x)+x),x)","e^{e^{x}}"," ",0,"exp(exp(x))","A",0
716,1,5,0,0.919133," ","integrate(exp(exp(exp(x))+exp(x)+x),x)","e^{e^{e^{x}}}"," ",0,"exp(exp(exp(x)))","A",0
717,1,17,0,0.106164," ","integrate((exp(-x)+exp(x))**2,x)","2 x + \frac{e^{2 x}}{2} - \frac{e^{- 2 x}}{2}"," ",0,"2*x + exp(2*x)/2 - exp(-2*x)/2","A",0
718,1,15,0,0.106031," ","integrate(1/(exp(-x)+exp(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
719,1,10,0,0.081246," ","integrate(1/(exp(-x)+exp(x))**2,x)","- \frac{1}{2 e^{2 x} + 2}"," ",0,"-1/(2*exp(2*x) + 2)","A",0
720,1,15,0,0.103940," ","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
721,1,10,0,0.080660," ","integrate(1/(-1/exp(x)+exp(x))**2,x)","- \frac{1}{2 e^{2 x} - 2}"," ",0,"-1/(2*exp(2*x) - 2)","A",0
722,1,15,0,0.114827," ","integrate(exp(x)*(-1/exp(x)+exp(x))**2,x)","\frac{e^{3 x}}{3} - 2 e^{x} - e^{- x}"," ",0,"exp(3*x)/3 - 2*exp(x) - exp(-x)","A",0
723,1,26,0,0.137519," ","integrate(exp(x)*(-1/exp(x)+exp(x))**3,x)","3 x + \frac{e^{4 x}}{4} - \frac{3 e^{2 x}}{2} + \frac{e^{- 2 x}}{2}"," ",0,"3*x + exp(4*x)/4 - 3*exp(2*x)/2 + exp(-2*x)/2","A",0
724,1,29,0,0.260098," ","integrate((1+4**x)/(1+2**x),x)","x + \frac{e^{\frac{x \log{\left(4 \right)}}{2}}}{\log{\left(2 \right)}} - \frac{2 \log{\left(e^{\frac{x \log{\left(4 \right)}}{2}} + 1 \right)}}{\log{\left(2 \right)}}"," ",0,"x + exp(x*log(4)/2)/log(2) - 2*log(exp(x*log(4)/2) + 1)/log(2)","A",0
725,1,39,0,0.297928," ","integrate((1+4**x)/(1+1/(2**x)),x)","2 x + \frac{2^{2 x} \log{\left(2 \right)} - 2 \cdot 2^{x} \log{\left(2 \right)}}{2 \log{\left(2 \right)}^{2}} + \frac{2 \log{\left(1 + 2^{- x} \right)}}{\log{\left(2 \right)}}"," ",0,"2*x + (2**(2*x)*log(2) - 2*2**x*log(2))/(2*log(2)**2) + 2*log(1 + 2**(-x))/log(2)","A",0
726,0,0,0,0.000000," ","integrate(exp((a+x)**2)/x**2-2*a*exp((a+x)**2)/x,x)","- \left(\int \left(- \frac{e^{x^{2}} e^{2 a x}}{x^{2}}\right)\, dx + \int \frac{2 a e^{x^{2}} e^{2 a x}}{x}\, dx\right) e^{a^{2}}"," ",0,"-(Integral(-exp(x**2)*exp(2*a*x)/x**2, x) + Integral(2*a*exp(x**2)*exp(2*a*x)/x, x))*exp(a**2)","F",0
727,1,54,0,97.774106," ","integrate((x**8+x**6+x**4)/exp(x**2),x)","- \frac{x^{7} e^{- x^{2}}}{2} - \frac{9 x^{5} e^{- x^{2}}}{4} - \frac{49 x^{3} e^{- x^{2}}}{8} - \frac{147 x e^{- x^{2}}}{16} + \frac{147 \sqrt{\pi} \operatorname{erf}{\left(x \right)}}{32}"," ",0,"-x**7*exp(-x**2)/2 - 9*x**5*exp(-x**2)/4 - 49*x**3*exp(-x**2)/8 - 147*x*exp(-x**2)/16 + 147*sqrt(pi)*erf(x)/32","A",0
728,1,20,0,0.115645," ","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
729,1,8,0,0.100781," ","integrate(exp(x)*(x**2+x-5)/(-1+x)**2,x)","\frac{\left(x + 2\right) e^{x}}{x - 1}"," ",0,"(x + 2)*exp(x)/(x - 1)","A",0
730,1,10,0,0.093992," ","integrate(exp(x**2)*x**3/(x**2+1)**2,x)","\frac{e^{x^{2}}}{2 x^{2} + 2}"," ",0,"exp(x**2)/(2*x**2 + 2)","A",0
731,0,0,0,0.000000," ","integrate(exp(3*x)/(25+16*exp(2*x))**(1/2),x)","\int \frac{e^{3 x}}{\sqrt{16 e^{2 x} + 25}}\, dx"," ",0,"Integral(exp(3*x)/sqrt(16*exp(2*x) + 25), x)","F",0
732,1,8,0,0.164270," ","integrate((1+exp(x))/(exp(x)+x)**(1/2),x)","2 \sqrt{x + e^{x}}"," ",0,"2*sqrt(x + exp(x))","A",0
733,1,5,0,0.092366," ","integrate((1+exp(x))/(exp(x)+x),x)","\log{\left(x + e^{x} \right)}"," ",0,"log(x + exp(x))","A",0
734,1,14,0,0.466784," ","integrate(exp(x**2)/x**2,x)","\sqrt{\pi} \operatorname{erfi}{\left(x \right)} - \frac{e^{x^{2}}}{x}"," ",0,"sqrt(pi)*erfi(x) - exp(x**2)/x","A",0
735,1,12,0,0.092291," ","integrate(exp(x**2)*(4*x**4+1)/x**2,x)","\frac{\left(2 x^{2} - 1\right) e^{x^{2}}}{x}"," ",0,"(2*x**2 - 1)*exp(x**2)/x","A",0
736,1,94,0,0.154305," ","integrate((b*x+a)**2*(f**x)**(1/2),x)","\begin{cases} \frac{\left(2 a^{2} \log{\left(f \right)}^{2} + 4 a b x \log{\left(f \right)}^{2} - 8 a b \log{\left(f \right)} + 2 b^{2} x^{2} \log{\left(f \right)}^{2} - 8 b^{2} x \log{\left(f \right)} + 16 b^{2}\right) \sqrt{f^{x}}}{\log{\left(f \right)}^{3}} & \text{for}\: \log{\left(f \right)}^{3} \neq 0 \\a^{2} x + a b x^{2} + \frac{b^{2} x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((2*a**2*log(f)**2 + 4*a*b*x*log(f)**2 - 8*a*b*log(f) + 2*b**2*x**2*log(f)**2 - 8*b**2*x*log(f) + 16*b**2)*sqrt(f**x)/log(f)**3, Ne(log(f)**3, 0)), (a**2*x + a*b*x**2 + b**2*x**3/3, True))","A",0
737,1,10,0,0.096108," ","integrate(3**(x**2+1)*x,x)","\frac{3^{x^{2} + 1}}{2 \log{\left(3 \right)}}"," ",0,"3**(x**2 + 1)/(2*log(3))","A",0
738,1,10,0,0.148303," ","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
739,1,8,0,0.104473," ","integrate(2**(1/x)/x**2,x)","- \frac{2^{\frac{1}{x}}}{\log{\left(2 \right)}}"," ",0,"-2**(1/x)/log(2)","A",0
740,1,17,0,0.111544," ","integrate(1/(2**x)+2**x,x)","\frac{2^{x} \log{\left(2 \right)} - 2^{- x} \log{\left(2 \right)}}{\log{\left(2 \right)}^{2}}"," ",0,"(2**x*log(2) - 2**(-x)*log(2))/log(2)**2","A",0
741,1,15,0,0.094820," ","integrate((x**2-3*x+2)/exp(4*x),x)","\frac{\left(- 8 x^{2} + 20 x - 11\right) e^{- 4 x}}{32}"," ",0,"(-8*x**2 + 20*x - 11)*exp(-4*x)/32","A",0
742,1,36,0,0.101935," ","integrate(k**(1/2*x)+x**(k**(1/2)),x)","\begin{cases} \frac{2 k^{\frac{x}{2}}}{\log{\left(k \right)}} & \text{for}\: \log{\left(k \right)} \neq 0 \\x & \text{otherwise} \end{cases} + \begin{cases} \frac{x^{\sqrt{k} + 1}}{\sqrt{k} + 1} & \text{for}\: \sqrt{k} \neq -1 \\\log{\left(x \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*k**(x/2)/log(k), Ne(log(k), 0)), (x, True)) + Piecewise((x**(sqrt(k) + 1)/(sqrt(k) + 1), Ne(sqrt(k), -1)), (log(x), True))","A",0
743,1,10,0,0.146532," ","integrate(10**(x**(1/2))/x**(1/2),x)","\frac{2 \cdot 10^{\sqrt{x}}}{\log{\left(10 \right)}}"," ",0,"2*10**(sqrt(x))/log(10)","A",0
744,0,0,0,0.000000," ","integrate(exp(x)/(exp(x)+x)**(1/2)+1/(exp(x)+x)**(1/2),x)","\int \frac{e^{x} + 1}{\sqrt{x + e^{x}}}\, dx"," ",0,"Integral((exp(x) + 1)/sqrt(x + exp(x)), x)","F",0
745,0,0,0,0.000000," ","integrate((1+exp(x))*x/(exp(x)+x)**(1/2)+2*(exp(x)+x)**(1/2),x)","\int \frac{x e^{x} + 3 x + 2 e^{x}}{\sqrt{x + e^{x}}}\, dx"," ",0,"Integral((x*exp(x) + 3*x + 2*exp(x))/sqrt(x + exp(x)), x)","F",0
746,0,0,0,0.000000," ","integrate(x/(exp(x)+x)**(1/2)+exp(x)*x/(exp(x)+x)**(1/2)+2*(exp(x)+x)**(1/2),x)","\int \frac{x e^{x} + 3 x + 2 e^{x}}{\sqrt{x + e^{x}}}\, dx"," ",0,"Integral((x*exp(x) + 3*x + 2*exp(x))/sqrt(x + exp(x)), x)","F",0
747,0,0,0,0.000000," ","integrate((1+exp(x))*x/(exp(x)+x)**(1/2),x)","\int \frac{x \left(e^{x} + 1\right)}{\sqrt{x + e^{x}}}\, dx"," ",0,"Integral(x*(exp(x) + 1)/sqrt(x + exp(x)), x)","F",0
748,0,0,0,0.000000," ","integrate(x/(exp(x)+x)**(1/2)+exp(x)*x/(exp(x)+x)**(1/2),x)","\int \frac{x \left(e^{x} + 1\right)}{\sqrt{x + e^{x}}}\, dx"," ",0,"Integral(x*(exp(x) + 1)/sqrt(x + exp(x)), x)","F",0
749,0,0,0,0.000000," ","integrate(exp(x)*x/(exp(x)+x)**(1/2),x)","\int \frac{x e^{x}}{\sqrt{x + e^{x}}}\, dx"," ",0,"Integral(x*exp(x)/sqrt(x + exp(x)), x)","F",0
750,0,0,0,0.000000," ","integrate(1/5*x**2*(5*exp(x)+3*x**2)/(5*exp(x)+x**3)**(1/2)+4/5*x*(5*exp(x)+x**3)**(1/2),x)","\frac{\int \frac{7 x^{4}}{\sqrt{x^{3} + 5 e^{x}}}\, dx + \int \frac{20 x e^{x}}{\sqrt{x^{3} + 5 e^{x}}}\, dx + \int \frac{5 x^{2} e^{x}}{\sqrt{x^{3} + 5 e^{x}}}\, dx}{5}"," ",0,"(Integral(7*x**4/sqrt(x**3 + 5*exp(x)), x) + Integral(20*x*exp(x)/sqrt(x**3 + 5*exp(x)), x) + Integral(5*x**2*exp(x)/sqrt(x**3 + 5*exp(x)), x))/5","F",0
751,0,0,0,0.000000," ","integrate(exp(x)*x**2/(5*exp(x)+x**3)**(1/2),x)","\int \frac{x^{2} e^{x}}{\sqrt{x^{3} + 5 e^{x}}}\, dx"," ",0,"Integral(x**2*exp(x)/sqrt(x**3 + 5*exp(x)), x)","F",0
752,1,12,0,0.222274," ","integrate((-1-exp(x))/(exp(x)+x)**(1/3),x)","- \frac{3 \left(x + e^{x}\right)^{\frac{2}{3}}}{2}"," ",0,"-3*(x + exp(x))**(2/3)/2","A",0
753,0,0,0,0.000000," ","integrate(-1/(exp(x)+x)**(1/3)+x/(exp(x)+x)**(1/3)-(exp(x)+x)**(2/3),x)","- \int \frac{e^{x}}{\sqrt[3]{x + e^{x}}}\, dx - \int \frac{1}{\sqrt[3]{x + e^{x}}}\, dx"," ",0,"-Integral(exp(x)/(x + exp(x))**(1/3), x) - Integral((x + exp(x))**(-1/3), x)","F",0
754,0,0,0,0.000000," ","integrate(x/(exp(x)+x)**(1/3),x)","\int \frac{x}{\sqrt[3]{x + e^{x}}}\, dx"," ",0,"Integral(x/(x + exp(x))**(1/3), x)","F",0
755,0,0,0,0.000000," ","integrate((5*x+exp(x)*(3+2*x))/(exp(x)+x)**(1/3),x)","\int \frac{2 x e^{x} + 5 x + 3 e^{x}}{\sqrt[3]{x + e^{x}}}\, dx"," ",0,"Integral((2*x*exp(x) + 5*x + 3*exp(x))/(x + exp(x))**(1/3), x)","F",0
756,0,0,0,0.000000," ","integrate(2*x/(exp(x)+x)**(1/3)+2*exp(x)*x/(exp(x)+x)**(1/3)+3*(exp(x)+x)**(2/3),x)","\int \frac{2 x e^{x} + 5 x + 3 e^{x}}{\sqrt[3]{x + e^{x}}}\, dx"," ",0,"Integral((2*x*exp(x) + 5*x + 3*exp(x))/(x + exp(x))**(1/3), x)","F",0
757,1,22,0,0.124351," ","integrate(exp(x)*(-1/exp(x)+exp(x))*(exp(-x)+exp(x))**2,x)","- x + \frac{e^{4 x}}{4} + \frac{e^{2 x}}{2} + \frac{e^{- 2 x}}{2}"," ",0,"-x + exp(4*x)/4 + exp(2*x)/2 + exp(-2*x)/2","A",0
758,0,0,0,0.000000," ","integrate(x/(exp(x)+x),x)","\int \frac{x}{x + e^{x}}\, dx"," ",0,"Integral(x/(x + exp(x)), x)","F",0
759,0,0,0,0.000000," ","integrate(x**2/(exp(x)+x)**(1/2),x)","\int \frac{x^{2}}{\sqrt{x + e^{x}}}\, dx"," ",0,"Integral(x**2/sqrt(x + exp(x)), x)","F",0
760,0,0,0,0.000000," ","integrate(exp(x)/(exp(x)+x),x)","\int \frac{e^{x}}{x + e^{x}}\, dx"," ",0,"Integral(exp(x)/(x + exp(x)), x)","F",0
761,0,0,0,0.000000," ","integrate(exp(x)/(exp(x)+x**2),x)","\int \frac{e^{x}}{x^{2} + e^{x}}\, dx"," ",0,"Integral(exp(x)/(x**2 + exp(x)), x)","F",0
762,0,0,0,0.000000," ","integrate(F0(x)/(x+F0(x)),x)","\int \frac{\operatorname{F_{0}}{\left(x \right)}}{x + \operatorname{F_{0}}{\left(x \right)}}\, dx"," ",0,"Integral(F0(x)/(x + F0(x)), x)","F",0
763,0,0,0,0.000000," ","integrate(F0(x)/(x**2+F0(x)),x)","\int \frac{\operatorname{F_{0}}{\left(x \right)}}{x^{2} + \operatorname{F_{0}}{\left(x \right)}}\, dx"," ",0,"Integral(F0(x)/(x**2 + F0(x)), x)","F",0
764,0,0,0,0.000000," ","integrate(F0(x)/(x+F0(x))**2,x)","\int \frac{\operatorname{F_{0}}{\left(x \right)}}{\left(x + \operatorname{F_{0}}{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(F0(x)/(x + F0(x))**2, x)","F",0
765,0,0,0,0.000000," ","integrate(F0(x)/(x**2+F0(x))**2,x)","\int \frac{\operatorname{F_{0}}{\left(x \right)}}{\left(x^{2} + \operatorname{F_{0}}{\left(x \right)}\right)^{2}}\, dx"," ",0,"Integral(F0(x)/(x**2 + F0(x))**2, x)","F",0
766,1,143,0,43.309375," ","integrate((a*F**(d*x+c))**m*(b*F**(f*x+e))**n,x)","\begin{cases} a^{m} b^{n} x & \text{for}\: F = 1 \wedge \left(F = 1 \vee d = - \frac{f n}{m}\right) \\a^{m} b^{n} x \left(F^{c}\right)^{m} \left(F^{e}\right)^{n} \left(F^{f x}\right)^{n} \left(F^{- \frac{f n x}{m}}\right)^{m} + \frac{a^{m} b^{n} \left(F^{c}\right)^{m} \left(F^{e}\right)^{n} \left(F^{f x}\right)^{n} \left(F^{- \frac{f n x}{m}}\right)^{m}}{f n \log{\left(F \right)}} & \text{for}\: d = - \frac{f n}{m} \\\frac{a^{m} b^{n} \left(F^{c}\right)^{m} \left(F^{e}\right)^{n} \left(F^{d x}\right)^{m} \left(F^{f x}\right)^{n}}{d m \log{\left(F \right)} + f n \log{\left(F \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**m*b**n*x, Eq(F, 1) & (Eq(F, 1) | Eq(d, -f*n/m))), (a**m*b**n*x*(F**c)**m*(F**e)**n*(F**(f*x))**n*(F**(-f*n*x/m))**m + a**m*b**n*(F**c)**m*(F**e)**n*(F**(f*x))**n*(F**(-f*n*x/m))**m/(f*n*log(F)), Eq(d, -f*n/m)), (a**m*b**n*(F**c)**m*(F**e)**n*(F**(d*x))**m*(F**(f*x))**n/(d*m*log(F) + f*n*log(F)), True))","A",0
767,0,0,0,0.000000," ","integrate(exp(a+c+b*x**n+d*x**n),x)","e^{a} e^{c} \int e^{b x^{n}} e^{d x^{n}}\, dx"," ",0,"exp(a)*exp(c)*Integral(exp(b*x**n)*exp(d*x**n), x)","F",0
768,-1,0,0,0.000000," ","integrate(f**(a+b*x**n)*g**(c+d*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
769,1,105,0,1.382593," ","integrate(exp(x**n)*x**m,x)","\frac{m e^{- \frac{i \pi}{n}} e^{- \frac{i \pi m}{n}} \Gamma\left(\frac{m}{n} + \frac{1}{n}\right) \gamma\left(\frac{m}{n} + \frac{1}{n}, x^{n} e^{i \pi}\right)}{n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{e^{- \frac{i \pi}{n}} e^{- \frac{i \pi m}{n}} \Gamma\left(\frac{m}{n} + \frac{1}{n}\right) \gamma\left(\frac{m}{n} + \frac{1}{n}, x^{n} e^{i \pi}\right)}{n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}"," ",0,"m*exp(-I*pi/n)*exp(-I*pi*m/n)*gamma(m/n + 1/n)*lowergamma(m/n + 1/n, x**n*exp_polar(I*pi))/(n**2*gamma(m/n + 1 + 1/n)) + exp(-I*pi/n)*exp(-I*pi*m/n)*gamma(m/n + 1/n)*lowergamma(m/n + 1/n, x**n*exp_polar(I*pi))/(n**2*gamma(m/n + 1 + 1/n))","C",0
770,0,0,0,0.000000," ","integrate(f**(x**n)*x**m,x)","\int f^{x^{n}} x^{m}\, dx"," ",0,"Integral(f**(x**n)*x**m, x)","F",0
771,0,0,0,0.000000," ","integrate(exp((b*x+a)**n)*(b*x+a)**m,x)","\int \left(a + b x\right)^{m} e^{\left(a + b x\right)^{n}}\, dx"," ",0,"Integral((a + b*x)**m*exp((a + b*x)**n), x)","F",0
772,0,0,0,0.000000," ","integrate(f**((b*x+a)**n)*(b*x+a)**m,x)","\int f^{\left(a + b x\right)^{n}} \left(a + b x\right)^{m}\, dx"," ",0,"Integral(f**((a + b*x)**n)*(a + b*x)**m, x)","F",0
773,0,0,0,0.000000," ","integrate(exp((b*x+a)**3)*x,x)","e^{a^{3}} \int x e^{b^{3} x^{3}} e^{3 a b^{2} x^{2}} e^{3 a^{2} b x}\, dx"," ",0,"exp(a**3)*Integral(x*exp(b**3*x**3)*exp(3*a*b**2*x**2)*exp(3*a**2*b*x), x)","F",0
774,0,0,0,0.000000," ","integrate((5*x**2+3*(exp(x)+x)**(1/3)+exp(x)*(2*x**2+3*x))/x/(exp(x)+x)**(1/3),x)","\int \frac{2 x^{2} e^{x} + 5 x^{2} + 3 x e^{x} + 3 \sqrt[3]{x + e^{x}}}{x \sqrt[3]{x + e^{x}}}\, dx"," ",0,"Integral((2*x**2*exp(x) + 5*x**2 + 3*x*exp(x) + 3*(x + exp(x))**(1/3))/(x*(x + exp(x))**(1/3)), x)","F",0
