1,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*(e*x+d)**m,x)","\int F^{c \left(a + b x\right)} \left(d + e x\right)^{m}\, dx"," ",0,"Integral(F**(c*(a + b*x))*(d + e*x)**m, x)","F",0
2,1,350,0,0.274517," ","integrate(F**(c*(b*x+a))*(e*x+d)**4,x)","\begin{cases} \frac{F^{c \left(a + b x\right)} \left(b^{4} c^{4} d^{4} \log{\left(F \right)}^{4} + 4 b^{4} c^{4} d^{3} e x \log{\left(F \right)}^{4} + 6 b^{4} c^{4} d^{2} e^{2} x^{2} \log{\left(F \right)}^{4} + 4 b^{4} c^{4} d e^{3} x^{3} \log{\left(F \right)}^{4} + b^{4} c^{4} e^{4} x^{4} \log{\left(F \right)}^{4} - 4 b^{3} c^{3} d^{3} e \log{\left(F \right)}^{3} - 12 b^{3} c^{3} d^{2} e^{2} x \log{\left(F \right)}^{3} - 12 b^{3} c^{3} d e^{3} x^{2} \log{\left(F \right)}^{3} - 4 b^{3} c^{3} e^{4} x^{3} \log{\left(F \right)}^{3} + 12 b^{2} c^{2} d^{2} e^{2} \log{\left(F \right)}^{2} + 24 b^{2} c^{2} d e^{3} x \log{\left(F \right)}^{2} + 12 b^{2} c^{2} e^{4} x^{2} \log{\left(F \right)}^{2} - 24 b c d e^{3} \log{\left(F \right)} - 24 b c e^{4} x \log{\left(F \right)} + 24 e^{4}\right)}{b^{5} c^{5} \log{\left(F \right)}^{5}} & \text{for}\: b^{5} c^{5} \log{\left(F \right)}^{5} \neq 0 \\d^{4} x + 2 d^{3} e x^{2} + 2 d^{2} e^{2} x^{3} + d e^{3} x^{4} + \frac{e^{4} x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(c*(a + b*x))*(b**4*c**4*d**4*log(F)**4 + 4*b**4*c**4*d**3*e*x*log(F)**4 + 6*b**4*c**4*d**2*e**2*x**2*log(F)**4 + 4*b**4*c**4*d*e**3*x**3*log(F)**4 + b**4*c**4*e**4*x**4*log(F)**4 - 4*b**3*c**3*d**3*e*log(F)**3 - 12*b**3*c**3*d**2*e**2*x*log(F)**3 - 12*b**3*c**3*d*e**3*x**2*log(F)**3 - 4*b**3*c**3*e**4*x**3*log(F)**3 + 12*b**2*c**2*d**2*e**2*log(F)**2 + 24*b**2*c**2*d*e**3*x*log(F)**2 + 12*b**2*c**2*e**4*x**2*log(F)**2 - 24*b*c*d*e**3*log(F) - 24*b*c*e**4*x*log(F) + 24*e**4)/(b**5*c**5*log(F)**5), Ne(b**5*c**5*log(F)**5, 0)), (d**4*x + 2*d**3*e*x**2 + 2*d**2*e**2*x**3 + d*e**3*x**4 + e**4*x**5/5, True))","A",0
3,1,231,0,0.224194," ","integrate(F**(c*(b*x+a))*(e*x+d)**3,x)","\begin{cases} \frac{F^{c \left(a + b x\right)} \left(b^{3} c^{3} d^{3} \log{\left(F \right)}^{3} + 3 b^{3} c^{3} d^{2} e x \log{\left(F \right)}^{3} + 3 b^{3} c^{3} d e^{2} x^{2} \log{\left(F \right)}^{3} + b^{3} c^{3} e^{3} x^{3} \log{\left(F \right)}^{3} - 3 b^{2} c^{2} d^{2} e \log{\left(F \right)}^{2} - 6 b^{2} c^{2} d e^{2} x \log{\left(F \right)}^{2} - 3 b^{2} c^{2} e^{3} x^{2} \log{\left(F \right)}^{2} + 6 b c d e^{2} \log{\left(F \right)} + 6 b c e^{3} x \log{\left(F \right)} - 6 e^{3}\right)}{b^{4} c^{4} \log{\left(F \right)}^{4}} & \text{for}\: b^{4} c^{4} \log{\left(F \right)}^{4} \neq 0 \\d^{3} x + \frac{3 d^{2} e x^{2}}{2} + d e^{2} x^{3} + \frac{e^{3} x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(c*(a + b*x))*(b**3*c**3*d**3*log(F)**3 + 3*b**3*c**3*d**2*e*x*log(F)**3 + 3*b**3*c**3*d*e**2*x**2*log(F)**3 + b**3*c**3*e**3*x**3*log(F)**3 - 3*b**2*c**2*d**2*e*log(F)**2 - 6*b**2*c**2*d*e**2*x*log(F)**2 - 3*b**2*c**2*e**3*x**2*log(F)**2 + 6*b*c*d*e**2*log(F) + 6*b*c*e**3*x*log(F) - 6*e**3)/(b**4*c**4*log(F)**4), Ne(b**4*c**4*log(F)**4, 0)), (d**3*x + 3*d**2*e*x**2/2 + d*e**2*x**3 + e**3*x**4/4, True))","A",0
4,1,133,0,0.181472," ","integrate(F**(c*(b*x+a))*(e*x+d)**2,x)","\begin{cases} \frac{F^{c \left(a + b x\right)} \left(b^{2} c^{2} d^{2} \log{\left(F \right)}^{2} + 2 b^{2} c^{2} d e x \log{\left(F \right)}^{2} + b^{2} c^{2} e^{2} x^{2} \log{\left(F \right)}^{2} - 2 b c d e \log{\left(F \right)} - 2 b c e^{2} x \log{\left(F \right)} + 2 e^{2}\right)}{b^{3} c^{3} \log{\left(F \right)}^{3}} & \text{for}\: b^{3} c^{3} \log{\left(F \right)}^{3} \neq 0 \\d^{2} x + d e x^{2} + \frac{e^{2} x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(c*(a + b*x))*(b**2*c**2*d**2*log(F)**2 + 2*b**2*c**2*d*e*x*log(F)**2 + b**2*c**2*e**2*x**2*log(F)**2 - 2*b*c*d*e*log(F) - 2*b*c*e**2*x*log(F) + 2*e**2)/(b**3*c**3*log(F)**3), Ne(b**3*c**3*log(F)**3, 0)), (d**2*x + d*e*x**2 + e**2*x**3/3, True))","A",0
5,1,60,0,0.138123," ","integrate(F**(c*(b*x+a))*(e*x+d),x)","\begin{cases} \frac{F^{c \left(a + b x\right)} \left(b c d \log{\left(F \right)} + b c e x \log{\left(F \right)} - e\right)}{b^{2} c^{2} \log{\left(F \right)}^{2}} & \text{for}\: b^{2} c^{2} \log{\left(F \right)}^{2} \neq 0 \\d x + \frac{e x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(c*(a + b*x))*(b*c*d*log(F) + b*c*e*x*log(F) - e)/(b**2*c**2*log(F)**2), Ne(b**2*c**2*log(F)**2, 0)), (d*x + e*x**2/2, True))","A",0
6,1,20,0,0.100245," ","integrate(F**(c*(b*x+a)),x)","\begin{cases} \frac{F^{c \left(a + b x\right)}}{b c \log{\left(F \right)}} & \text{for}\: b c \log{\left(F \right)} \neq 0 \\x & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(c*(a + b*x))/(b*c*log(F)), Ne(b*c*log(F), 0)), (x, True))","A",0
7,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(e*x+d),x)","\int \frac{F^{c \left(a + b x\right)}}{d + e x}\, dx"," ",0,"Integral(F**(c*(a + b*x))/(d + e*x), x)","F",0
8,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(e*x+d)**2,x)","\int \frac{F^{c \left(a + b x\right)}}{\left(d + e x\right)^{2}}\, dx"," ",0,"Integral(F**(c*(a + b*x))/(d + e*x)**2, x)","F",0
9,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(e*x+d)**3,x)","\int \frac{F^{c \left(a + b x\right)}}{\left(d + e x\right)^{3}}\, dx"," ",0,"Integral(F**(c*(a + b*x))/(d + e*x)**3, x)","F",0
10,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(e*x+d)**4,x)","\int \frac{F^{c \left(a + b x\right)}}{\left(d + e x\right)^{4}}\, dx"," ",0,"Integral(F**(c*(a + b*x))/(d + e*x)**4, x)","F",0
11,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(e*x+d)**5,x)","\int \frac{F^{c \left(a + b x\right)}}{\left(d + e x\right)^{5}}\, dx"," ",0,"Integral(F**(c*(a + b*x))/(d + e*x)**5, x)","F",0
12,1,350,0,0.273424," ","integrate(F**(c*(b*x+a))*(e**4*x**4+4*d*e**3*x**3+6*d**2*e**2*x**2+4*d**3*e*x+d**4),x)","\begin{cases} \frac{F^{c \left(a + b x\right)} \left(b^{4} c^{4} d^{4} \log{\left(F \right)}^{4} + 4 b^{4} c^{4} d^{3} e x \log{\left(F \right)}^{4} + 6 b^{4} c^{4} d^{2} e^{2} x^{2} \log{\left(F \right)}^{4} + 4 b^{4} c^{4} d e^{3} x^{3} \log{\left(F \right)}^{4} + b^{4} c^{4} e^{4} x^{4} \log{\left(F \right)}^{4} - 4 b^{3} c^{3} d^{3} e \log{\left(F \right)}^{3} - 12 b^{3} c^{3} d^{2} e^{2} x \log{\left(F \right)}^{3} - 12 b^{3} c^{3} d e^{3} x^{2} \log{\left(F \right)}^{3} - 4 b^{3} c^{3} e^{4} x^{3} \log{\left(F \right)}^{3} + 12 b^{2} c^{2} d^{2} e^{2} \log{\left(F \right)}^{2} + 24 b^{2} c^{2} d e^{3} x \log{\left(F \right)}^{2} + 12 b^{2} c^{2} e^{4} x^{2} \log{\left(F \right)}^{2} - 24 b c d e^{3} \log{\left(F \right)} - 24 b c e^{4} x \log{\left(F \right)} + 24 e^{4}\right)}{b^{5} c^{5} \log{\left(F \right)}^{5}} & \text{for}\: b^{5} c^{5} \log{\left(F \right)}^{5} \neq 0 \\d^{4} x + 2 d^{3} e x^{2} + 2 d^{2} e^{2} x^{3} + d e^{3} x^{4} + \frac{e^{4} x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(c*(a + b*x))*(b**4*c**4*d**4*log(F)**4 + 4*b**4*c**4*d**3*e*x*log(F)**4 + 6*b**4*c**4*d**2*e**2*x**2*log(F)**4 + 4*b**4*c**4*d*e**3*x**3*log(F)**4 + b**4*c**4*e**4*x**4*log(F)**4 - 4*b**3*c**3*d**3*e*log(F)**3 - 12*b**3*c**3*d**2*e**2*x*log(F)**3 - 12*b**3*c**3*d*e**3*x**2*log(F)**3 - 4*b**3*c**3*e**4*x**3*log(F)**3 + 12*b**2*c**2*d**2*e**2*log(F)**2 + 24*b**2*c**2*d*e**3*x*log(F)**2 + 12*b**2*c**2*e**4*x**2*log(F)**2 - 24*b*c*d*e**3*log(F) - 24*b*c*e**4*x*log(F) + 24*e**4)/(b**5*c**5*log(F)**5), Ne(b**5*c**5*log(F)**5, 0)), (d**4*x + 2*d**3*e*x**2 + 2*d**2*e**2*x**3 + d*e**3*x**4 + e**4*x**5/5, True))","A",0
13,1,231,0,0.221343," ","integrate(F**(c*(b*x+a))*(e**3*x**3+3*d*e**2*x**2+3*d**2*e*x+d**3),x)","\begin{cases} \frac{F^{c \left(a + b x\right)} \left(b^{3} c^{3} d^{3} \log{\left(F \right)}^{3} + 3 b^{3} c^{3} d^{2} e x \log{\left(F \right)}^{3} + 3 b^{3} c^{3} d e^{2} x^{2} \log{\left(F \right)}^{3} + b^{3} c^{3} e^{3} x^{3} \log{\left(F \right)}^{3} - 3 b^{2} c^{2} d^{2} e \log{\left(F \right)}^{2} - 6 b^{2} c^{2} d e^{2} x \log{\left(F \right)}^{2} - 3 b^{2} c^{2} e^{3} x^{2} \log{\left(F \right)}^{2} + 6 b c d e^{2} \log{\left(F \right)} + 6 b c e^{3} x \log{\left(F \right)} - 6 e^{3}\right)}{b^{4} c^{4} \log{\left(F \right)}^{4}} & \text{for}\: b^{4} c^{4} \log{\left(F \right)}^{4} \neq 0 \\d^{3} x + \frac{3 d^{2} e x^{2}}{2} + d e^{2} x^{3} + \frac{e^{3} x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(c*(a + b*x))*(b**3*c**3*d**3*log(F)**3 + 3*b**3*c**3*d**2*e*x*log(F)**3 + 3*b**3*c**3*d*e**2*x**2*log(F)**3 + b**3*c**3*e**3*x**3*log(F)**3 - 3*b**2*c**2*d**2*e*log(F)**2 - 6*b**2*c**2*d*e**2*x*log(F)**2 - 3*b**2*c**2*e**3*x**2*log(F)**2 + 6*b*c*d*e**2*log(F) + 6*b*c*e**3*x*log(F) - 6*e**3)/(b**4*c**4*log(F)**4), Ne(b**4*c**4*log(F)**4, 0)), (d**3*x + 3*d**2*e*x**2/2 + d*e**2*x**3 + e**3*x**4/4, True))","A",0
14,1,133,0,0.176703," ","integrate(F**(c*(b*x+a))*(e**2*x**2+2*d*e*x+d**2),x)","\begin{cases} \frac{F^{c \left(a + b x\right)} \left(b^{2} c^{2} d^{2} \log{\left(F \right)}^{2} + 2 b^{2} c^{2} d e x \log{\left(F \right)}^{2} + b^{2} c^{2} e^{2} x^{2} \log{\left(F \right)}^{2} - 2 b c d e \log{\left(F \right)} - 2 b c e^{2} x \log{\left(F \right)} + 2 e^{2}\right)}{b^{3} c^{3} \log{\left(F \right)}^{3}} & \text{for}\: b^{3} c^{3} \log{\left(F \right)}^{3} \neq 0 \\d^{2} x + d e x^{2} + \frac{e^{2} x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(c*(a + b*x))*(b**2*c**2*d**2*log(F)**2 + 2*b**2*c**2*d*e*x*log(F)**2 + b**2*c**2*e**2*x**2*log(F)**2 - 2*b*c*d*e*log(F) - 2*b*c*e**2*x*log(F) + 2*e**2)/(b**3*c**3*log(F)**3), Ne(b**3*c**3*log(F)**3, 0)), (d**2*x + d*e*x**2 + e**2*x**3/3, True))","A",0
15,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(e**2*x**2+2*d*e*x+d**2),x)","\int \frac{F^{c \left(a + b x\right)}}{\left(d + e x\right)^{2}}\, dx"," ",0,"Integral(F**(c*(a + b*x))/(d + e*x)**2, x)","F",0
16,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(e**3*x**3+3*d*e**2*x**2+3*d**2*e*x+d**3),x)","\int \frac{F^{c \left(a + b x\right)}}{\left(d + e x\right)^{3}}\, dx"," ",0,"Integral(F**(c*(a + b*x))/(d + e*x)**3, x)","F",0
17,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(e**4*x**4+4*d*e**3*x**3+6*d**2*e**2*x**2+4*d**3*e*x+d**4),x)","\int \frac{F^{c \left(a + b x\right)}}{\left(d + e x\right)^{4}}\, dx"," ",0,"Integral(F**(c*(a + b*x))/(d + e*x)**4, x)","F",0
18,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(e**5*x**5+5*d*e**4*x**4+10*d**2*e**3*x**3+10*d**3*e**2*x**2+5*d**4*e*x+d**5),x)","\int \frac{F^{c \left(a + b x\right)}}{\left(d + e x\right)^{5}}\, dx"," ",0,"Integral(F**(c*(a + b*x))/(d + e*x)**5, x)","F",0
19,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*((e*x+d)**n)**m,x)","\int F^{c \left(a + b x\right)} \left(\left(d + e x\right)^{n}\right)^{m}\, dx"," ",0,"Integral(F**(c*(a + b*x))*((d + e*x)**n)**m, x)","F",0
20,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*(e**4*x**4+4*d*e**3*x**3+6*d**2*e**2*x**2+4*d**3*e*x+d**4)**m,x)","\int F^{c \left(a + b x\right)} \left(\left(d + e x\right)^{4}\right)^{m}\, dx"," ",0,"Integral(F**(c*(a + b*x))*((d + e*x)**4)**m, x)","F",0
21,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*(e**3*x**3+3*d*e**2*x**2+3*d**2*e*x+d**3)**m,x)","\int F^{c \left(a + b x\right)} \left(\left(d + e x\right)^{3}\right)^{m}\, dx"," ",0,"Integral(F**(c*(a + b*x))*((d + e*x)**3)**m, x)","F",0
22,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*(e**2*x**2+2*d*e*x+d**2)**m,x)","\int F^{c \left(a + b x\right)} \left(\left(d + e x\right)^{2}\right)^{m}\, dx"," ",0,"Integral(F**(c*(a + b*x))*((d + e*x)**2)**m, x)","F",0
23,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*(e*x+d)**m,x)","\int F^{c \left(a + b x\right)} \left(d + e x\right)^{m}\, dx"," ",0,"Integral(F**(c*(a + b*x))*(d + e*x)**m, x)","F",0
24,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))/((e*x+d)**m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
25,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))/((e**2*x**2+2*d*e*x+d**2)**m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
26,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))/((e**3*x**3+3*d*e**2*x**2+3*d**2*e*x+d**3)**m),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
27,1,15,0,0.094150," ","integrate(F**(2+5*x),x)","\begin{cases} \frac{F^{5 x + 2}}{5 \log{\left(F \right)}} & \text{for}\: 5 \log{\left(F \right)} \neq 0 \\x & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(5*x + 2)/(5*log(F)), Ne(5*log(F), 0)), (x, True))","A",0
28,1,15,0,0.098735," ","integrate(F**(b*x+a),x)","\begin{cases} \frac{F^{a + b x}}{b \log{\left(F \right)}} & \text{for}\: b \log{\left(F \right)} \neq 0 \\x & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*x)/(b*log(F)), Ne(b*log(F), 0)), (x, True))","A",0
29,1,10,0,0.093138," ","integrate(10**(2+5*x),x)","\frac{10^{5 x + 2}}{5 \log{\left(10 \right)}}"," ",0,"10**(5*x + 2)/(5*log(10))","A",0
30,-1,0,0,0.000000," ","integrate(F**(b*x+a)*x**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
31,-1,0,0,0.000000," ","integrate(F**(b*x+a)*x**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
32,1,37,0,130.971029," ","integrate(F**(b*x+a)*x**(3/2),x)","- \frac{4 F^{a} F^{b x} b x^{\frac{7}{2}} \log{\left(F \right)}}{35} + \frac{2 F^{a} F^{b x} x^{\frac{5}{2}}}{5}"," ",0,"-4*F**a*F**(b*x)*b*x**(7/2)*log(F)/35 + 2*F**a*F**(b*x)*x**(5/2)/5","A",0
33,0,0,0,0.000000," ","integrate(F**(b*x+a)*x**(1/2),x)","\int F^{a + b x} \sqrt{x}\, dx"," ",0,"Integral(F**(a + b*x)*sqrt(x), x)","F",0
34,0,0,0,0.000000," ","integrate(F**(b*x+a)/x**(1/2),x)","\int \frac{F^{a + b x}}{\sqrt{x}}\, dx"," ",0,"Integral(F**(a + b*x)/sqrt(x), x)","F",0
35,1,34,0,4.509475," ","integrate(F**(b*x+a)/x**(3/2),x)","4 F^{a} F^{b x} b \sqrt{x} \log{\left(F \right)} - \frac{2 F^{a} F^{b x}}{\sqrt{x}}"," ",0,"4*F**a*F**(b*x)*b*sqrt(x)*log(F) - 2*F**a*F**(b*x)/sqrt(x)","A",0
36,1,39,0,53.166418," ","integrate(F**(b*x+a)/x**(5/2),x)","- \frac{4 F^{a} F^{b x} b \log{\left(F \right)}}{3 \sqrt{x}} - \frac{2 F^{a} F^{b x}}{3 x^{\frac{3}{2}}}"," ",0,"-4*F**a*F**(b*x)*b*log(F)/(3*sqrt(x)) - 2*F**a*F**(b*x)/(3*x**(3/2))","A",0
37,-1,0,0,0.000000," ","integrate(F**(b*x+a)/x**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
38,-1,0,0,0.000000," ","integrate(F**(b*x+a)/x**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
39,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))*(e*x+d)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
40,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))*(e*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
41,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*(e*x+d)**(3/2),x)","\int F^{c \left(a + b x\right)} \left(d + e x\right)^{\frac{3}{2}}\, dx"," ",0,"Integral(F**(c*(a + b*x))*(d + e*x)**(3/2), x)","F",0
42,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*(e*x+d)**(1/2),x)","\int F^{c \left(a + b x\right)} \sqrt{d + e x}\, dx"," ",0,"Integral(F**(c*(a + b*x))*sqrt(d + e*x), x)","F",0
43,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(e*x+d)**(1/2),x)","\int \frac{F^{c \left(a + b x\right)}}{\sqrt{d + e x}}\, dx"," ",0,"Integral(F**(c*(a + b*x))/sqrt(d + e*x), x)","F",0
44,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(e*x+d)**(3/2),x)","\int \frac{F^{c \left(a + b x\right)}}{\left(d + e x\right)^{\frac{3}{2}}}\, dx"," ",0,"Integral(F**(c*(a + b*x))/(d + e*x)**(3/2), x)","F",0
45,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(e*x+d)**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
46,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(e*x+d)**(7/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
47,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))/(e*x+d)**(9/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
48,-1,0,0,0.000000," ","integrate(x**(13/2)/exp(b*x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
49,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))*(e*x+d)**(4/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
50,-1,0,0,0.000000," ","integrate((F**(c*(b*x+a)))**n*(e*x+d)**(4/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
51,1,60,0,0.144812," ","integrate(F**(c*(b*x+a))*(e*x+d),x)","\begin{cases} \frac{F^{c \left(a + b x\right)} \left(b c d \log{\left(F \right)} + b c e x \log{\left(F \right)} - e\right)}{b^{2} c^{2} \log{\left(F \right)}^{2}} & \text{for}\: b^{2} c^{2} \log{\left(F \right)}^{2} \neq 0 \\d x + \frac{e x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(c*(a + b*x))*(b*c*d*log(F) + b*c*e*x*log(F) - e)/(b**2*c**2*log(F)**2), Ne(b**2*c**2*log(F)**2, 0)), (d*x + e*x**2/2, True))","A",0
52,1,116,0,0.171183," ","integrate(F**(c*(b*x+a))*(f*x**2+e*x+d),x)","\begin{cases} \frac{F^{c \left(a + b x\right)} \left(b^{2} c^{2} d \log{\left(F \right)}^{2} + b^{2} c^{2} e x \log{\left(F \right)}^{2} + b^{2} c^{2} f x^{2} \log{\left(F \right)}^{2} - b c e \log{\left(F \right)} - 2 b c f x \log{\left(F \right)} + 2 f\right)}{b^{3} c^{3} \log{\left(F \right)}^{3}} & \text{for}\: b^{3} c^{3} \log{\left(F \right)}^{3} \neq 0 \\d x + \frac{e x^{2}}{2} + \frac{f x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(c*(a + b*x))*(b**2*c**2*d*log(F)**2 + b**2*c**2*e*x*log(F)**2 + b**2*c**2*f*x**2*log(F)**2 - b*c*e*log(F) - 2*b*c*f*x*log(F) + 2*f)/(b**3*c**3*log(F)**3), Ne(b**3*c**3*log(F)**3, 0)), (d*x + e*x**2/2 + f*x**3/3, True))","A",0
53,1,190,0,0.218795," ","integrate(F**(c*(b*x+a))*(g*x**3+f*x**2+e*x+d),x)","\begin{cases} \frac{F^{c \left(a + b x\right)} \left(b^{3} c^{3} d \log{\left(F \right)}^{3} + b^{3} c^{3} e x \log{\left(F \right)}^{3} + b^{3} c^{3} f x^{2} \log{\left(F \right)}^{3} + b^{3} c^{3} g x^{3} \log{\left(F \right)}^{3} - b^{2} c^{2} e \log{\left(F \right)}^{2} - 2 b^{2} c^{2} f x \log{\left(F \right)}^{2} - 3 b^{2} c^{2} g x^{2} \log{\left(F \right)}^{2} + 2 b c f \log{\left(F \right)} + 6 b c g x \log{\left(F \right)} - 6 g\right)}{b^{4} c^{4} \log{\left(F \right)}^{4}} & \text{for}\: b^{4} c^{4} \log{\left(F \right)}^{4} \neq 0 \\d x + \frac{e x^{2}}{2} + \frac{f x^{3}}{3} + \frac{g x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(c*(a + b*x))*(b**3*c**3*d*log(F)**3 + b**3*c**3*e*x*log(F)**3 + b**3*c**3*f*x**2*log(F)**3 + b**3*c**3*g*x**3*log(F)**3 - b**2*c**2*e*log(F)**2 - 2*b**2*c**2*f*x*log(F)**2 - 3*b**2*c**2*g*x**2*log(F)**2 + 2*b*c*f*log(F) + 6*b*c*g*x*log(F) - 6*g)/(b**4*c**4*log(F)**4), Ne(b**4*c**4*log(F)**4, 0)), (d*x + e*x**2/2 + f*x**3/3 + g*x**4/4, True))","A",0
54,1,284,0,0.263424," ","integrate(F**(c*(b*x+a))*(h*x**4+g*x**3+f*x**2+e*x+d),x)","\begin{cases} \frac{F^{c \left(a + b x\right)} \left(b^{4} c^{4} d \log{\left(F \right)}^{4} + b^{4} c^{4} e x \log{\left(F \right)}^{4} + b^{4} c^{4} f x^{2} \log{\left(F \right)}^{4} + b^{4} c^{4} g x^{3} \log{\left(F \right)}^{4} + b^{4} c^{4} h x^{4} \log{\left(F \right)}^{4} - b^{3} c^{3} e \log{\left(F \right)}^{3} - 2 b^{3} c^{3} f x \log{\left(F \right)}^{3} - 3 b^{3} c^{3} g x^{2} \log{\left(F \right)}^{3} - 4 b^{3} c^{3} h x^{3} \log{\left(F \right)}^{3} + 2 b^{2} c^{2} f \log{\left(F \right)}^{2} + 6 b^{2} c^{2} g x \log{\left(F \right)}^{2} + 12 b^{2} c^{2} h x^{2} \log{\left(F \right)}^{2} - 6 b c g \log{\left(F \right)} - 24 b c h x \log{\left(F \right)} + 24 h\right)}{b^{5} c^{5} \log{\left(F \right)}^{5}} & \text{for}\: b^{5} c^{5} \log{\left(F \right)}^{5} \neq 0 \\d x + \frac{e x^{2}}{2} + \frac{f x^{3}}{3} + \frac{g x^{4}}{4} + \frac{h x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(c*(a + b*x))*(b**4*c**4*d*log(F)**4 + b**4*c**4*e*x*log(F)**4 + b**4*c**4*f*x**2*log(F)**4 + b**4*c**4*g*x**3*log(F)**4 + b**4*c**4*h*x**4*log(F)**4 - b**3*c**3*e*log(F)**3 - 2*b**3*c**3*f*x*log(F)**3 - 3*b**3*c**3*g*x**2*log(F)**3 - 4*b**3*c**3*h*x**3*log(F)**3 + 2*b**2*c**2*f*log(F)**2 + 6*b**2*c**2*g*x*log(F)**2 + 12*b**2*c**2*h*x**2*log(F)**2 - 6*b*c*g*log(F) - 24*b*c*h*x*log(F) + 24*h)/(b**5*c**5*log(F)**5), Ne(b**5*c**5*log(F)**5, 0)), (d*x + e*x**2/2 + f*x**3/3 + g*x**4/4 + h*x**5/5, True))","A",0
55,1,109,0,34.422036," ","integrate(exp(-b*x-a)*x**m*(b*x+a)**3,x)","- \frac{a^{3} x^{m} \left(b x\right)^{- m} e^{- a} \Gamma\left(m + 1, b x\right)}{b} - 3 a^{2} x^{m + 1} \left(b x\right)^{- m - 1} e^{- a} \Gamma\left(m + 2, b x\right) - 3 a b x^{m + 2} \left(b x\right)^{- m - 2} e^{- a} \Gamma\left(m + 3, b x\right) - b^{2} x^{m + 3} \left(b x\right)^{- m - 3} e^{- a} \Gamma\left(m + 4, b x\right)"," ",0,"-a**3*x**m*(b*x)**(-m)*exp(-a)*uppergamma(m + 1, b*x)/b - 3*a**2*x**(m + 1)*(b*x)**(-m - 1)*exp(-a)*uppergamma(m + 2, b*x) - 3*a*b*x**(m + 2)*(b*x)**(-m - 2)*exp(-a)*uppergamma(m + 3, b*x) - b**2*x**(m + 3)*(b*x)**(-m - 3)*exp(-a)*uppergamma(m + 4, b*x)","A",0
56,1,236,0,0.240022," ","integrate(exp(-b*x-a)*x**3*(b*x+a)**3,x)","\begin{cases} \frac{\left(- a^{3} b^{3} x^{3} - 3 a^{3} b^{2} x^{2} - 6 a^{3} b x - 6 a^{3} - 3 a^{2} b^{4} x^{4} - 12 a^{2} b^{3} x^{3} - 36 a^{2} b^{2} x^{2} - 72 a^{2} b x - 72 a^{2} - 3 a b^{5} x^{5} - 15 a b^{4} x^{4} - 60 a b^{3} x^{3} - 180 a b^{2} x^{2} - 360 a b x - 360 a - b^{6} x^{6} - 6 b^{5} x^{5} - 30 b^{4} x^{4} - 120 b^{3} x^{3} - 360 b^{2} x^{2} - 720 b x - 720\right) e^{- a - b x}}{b^{4}} & \text{for}\: b^{4} \neq 0 \\\frac{a^{3} x^{4}}{4} + \frac{3 a^{2} b x^{5}}{5} + \frac{a b^{2} x^{6}}{2} + \frac{b^{3} x^{7}}{7} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**3*b**3*x**3 - 3*a**3*b**2*x**2 - 6*a**3*b*x - 6*a**3 - 3*a**2*b**4*x**4 - 12*a**2*b**3*x**3 - 36*a**2*b**2*x**2 - 72*a**2*b*x - 72*a**2 - 3*a*b**5*x**5 - 15*a*b**4*x**4 - 60*a*b**3*x**3 - 180*a*b**2*x**2 - 360*a*b*x - 360*a - b**6*x**6 - 6*b**5*x**5 - 30*b**4*x**4 - 120*b**3*x**3 - 360*b**2*x**2 - 720*b*x - 720)*exp(-a - b*x)/b**4, Ne(b**4, 0)), (a**3*x**4/4 + 3*a**2*b*x**5/5 + a*b**2*x**6/2 + b**3*x**7/7, True))","A",0
57,1,196,0,0.214828," ","integrate(exp(-b*x-a)*x**2*(b*x+a)**3,x)","\begin{cases} \frac{\left(- a^{3} b^{2} x^{2} - 2 a^{3} b x - 2 a^{3} - 3 a^{2} b^{3} x^{3} - 9 a^{2} b^{2} x^{2} - 18 a^{2} b x - 18 a^{2} - 3 a b^{4} x^{4} - 12 a b^{3} x^{3} - 36 a b^{2} x^{2} - 72 a b x - 72 a - b^{5} x^{5} - 5 b^{4} x^{4} - 20 b^{3} x^{3} - 60 b^{2} x^{2} - 120 b x - 120\right) e^{- a - b x}}{b^{3}} & \text{for}\: b^{3} \neq 0 \\\frac{a^{3} x^{3}}{3} + \frac{3 a^{2} b x^{4}}{4} + \frac{3 a b^{2} x^{5}}{5} + \frac{b^{3} x^{6}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**3*b**2*x**2 - 2*a**3*b*x - 2*a**3 - 3*a**2*b**3*x**3 - 9*a**2*b**2*x**2 - 18*a**2*b*x - 18*a**2 - 3*a*b**4*x**4 - 12*a*b**3*x**3 - 36*a*b**2*x**2 - 72*a*b*x - 72*a - b**5*x**5 - 5*b**4*x**4 - 20*b**3*x**3 - 60*b**2*x**2 - 120*b*x - 120)*exp(-a - b*x)/b**3, Ne(b**3, 0)), (a**3*x**3/3 + 3*a**2*b*x**4/4 + 3*a*b**2*x**5/5 + b**3*x**6/6, True))","A",0
58,1,148,0,0.190376," ","integrate(exp(-b*x-a)*x*(b*x+a)**3,x)","\begin{cases} \frac{\left(- a^{3} b x - a^{3} - 3 a^{2} b^{2} x^{2} - 6 a^{2} b x - 6 a^{2} - 3 a b^{3} x^{3} - 9 a b^{2} x^{2} - 18 a b x - 18 a - b^{4} x^{4} - 4 b^{3} x^{3} - 12 b^{2} x^{2} - 24 b x - 24\right) e^{- a - b x}}{b^{2}} & \text{for}\: b^{2} \neq 0 \\\frac{a^{3} x^{2}}{2} + a^{2} b x^{3} + \frac{3 a b^{2} x^{4}}{4} + \frac{b^{3} x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**3*b*x - a**3 - 3*a**2*b**2*x**2 - 6*a**2*b*x - 6*a**2 - 3*a*b**3*x**3 - 9*a*b**2*x**2 - 18*a*b*x - 18*a - b**4*x**4 - 4*b**3*x**3 - 12*b**2*x**2 - 24*b*x - 24)*exp(-a - b*x)/b**2, Ne(b**2, 0)), (a**3*x**2/2 + a**2*b*x**3 + 3*a*b**2*x**4/4 + b**3*x**5/5, True))","A",0
59,1,104,0,0.167585," ","integrate(exp(-b*x-a)*(b*x+a)**3,x)","\begin{cases} \frac{\left(- a^{3} - 3 a^{2} b x - 3 a^{2} - 3 a b^{2} x^{2} - 6 a b x - 6 a - b^{3} x^{3} - 3 b^{2} x^{2} - 6 b x - 6\right) e^{- a - b x}}{b} & \text{for}\: b \neq 0 \\a^{3} x + \frac{3 a^{2} b x^{2}}{2} + a b^{2} x^{3} + \frac{b^{3} x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**3 - 3*a**2*b*x - 3*a**2 - 3*a*b**2*x**2 - 6*a*b*x - 6*a - b**3*x**3 - 3*b**2*x**2 - 6*b*x - 6)*exp(-a - b*x)/b, Ne(b, 0)), (a**3*x + 3*a**2*b*x**2/2 + a*b**2*x**3 + b**3*x**4/4, True))","A",0
60,1,70,0,16.641748," ","integrate(exp(-b*x-a)*(b*x+a)**3/x,x)","\left(a^{3} \operatorname{Ei}{\left(- b x \right)} - 3 a^{2} e^{- b x} - 3 a \left(b x e^{- b x} + e^{- b x}\right) - b^{2} x^{2} e^{- b x} - 2 b x e^{- b x} - 2 e^{- b x}\right) e^{- a}"," ",0,"(a**3*Ei(-b*x) - 3*a**2*exp(-b*x) - 3*a*(b*x*exp(-b*x) + exp(-b*x)) - b**2*x**2*exp(-b*x) - 2*b*x*exp(-b*x) - 2*exp(-b*x))*exp(-a)","A",0
61,1,99,0,5.865734," ","integrate(exp(-b*x-a)*(b*x+a)**3/x**2,x)","- \frac{a^{3} e^{- a} \operatorname{E}_{2}\left(b x\right)}{x} + 3 a^{2} b e^{- a} \operatorname{Ei}{\left(- b x \right)} + 3 a b^{2} \left(\begin{cases} x & \text{for}\: b = 0 \\- \frac{e^{- b x}}{b} & \text{otherwise} \end{cases}\right) e^{- a} + b^{3} x \left(\begin{cases} x & \text{for}\: b = 0 \\- \frac{e^{- b x}}{b} & \text{otherwise} \end{cases}\right) e^{- a} - b^{3} \left(\begin{cases} \frac{x^{2}}{2} & \text{for}\: b = 0 \\- \frac{\begin{cases} - \frac{e^{- b x}}{b} & \text{for}\: b \neq 0 \\x & \text{otherwise} \end{cases}}{b} & \text{otherwise} \end{cases}\right) e^{- a}"," ",0,"-a**3*exp(-a)*expint(2, b*x)/x + 3*a**2*b*exp(-a)*Ei(-b*x) + 3*a*b**2*Piecewise((x, Eq(b, 0)), (-exp(-b*x)/b, True))*exp(-a) + b**3*x*Piecewise((x, Eq(b, 0)), (-exp(-b*x)/b, True))*exp(-a) - b**3*Piecewise((x**2/2, Eq(b, 0)), (-Piecewise((-exp(-b*x)/b, Ne(b, 0)), (x, True))/b, True))*exp(-a)","A",0
62,1,56,0,5.302378," ","integrate(exp(-b*x-a)*(b*x+a)**3/x**3,x)","\left(- \frac{a^{3} \operatorname{E}_{3}\left(b x\right)}{x^{2}} - \frac{3 a^{2} b \operatorname{E}_{2}\left(b x\right)}{x} + 3 a b^{2} \operatorname{Ei}{\left(- b x \right)} + b^{3} \left(\begin{cases} x & \text{for}\: b = 0 \\- \frac{e^{- b x}}{b} & \text{otherwise} \end{cases}\right)\right) e^{- a}"," ",0,"(-a**3*expint(3, b*x)/x**2 - 3*a**2*b*expint(2, b*x)/x + 3*a*b**2*Ei(-b*x) + b**3*Piecewise((x, Eq(b, 0)), (-exp(-b*x)/b, True)))*exp(-a)","A",0
63,1,53,0,5.330305," ","integrate(exp(-b*x-a)*(b*x+a)**3/x**4,x)","\left(- \frac{a^{3} \operatorname{E}_{4}\left(b x\right)}{x^{3}} - \frac{3 a^{2} b \operatorname{E}_{3}\left(b x\right)}{x^{2}} - \frac{3 a b^{2} \operatorname{E}_{2}\left(b x\right)}{x} + b^{3} \operatorname{Ei}{\left(- b x \right)}\right) e^{- a}"," ",0,"(-a**3*expint(4, b*x)/x**3 - 3*a**2*b*expint(3, b*x)/x**2 - 3*a*b**2*expint(2, b*x)/x + b**3*Ei(-b*x))*exp(-a)","A",0
64,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c))*x**m*(f*x+e)**2,x)","\int F^{a + b \left(c + d x\right)} x^{m} \left(e + f x\right)^{2}\, dx"," ",0,"Integral(F**(a + b*(c + d*x))*x**m*(e + f*x)**2, x)","F",0
65,1,323,0,0.282707," ","integrate(F**(a+b*(d*x+c))*x**3*(f*x+e)**2,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)} \left(b^{5} d^{5} e^{2} x^{3} \log{\left(F \right)}^{5} + 2 b^{5} d^{5} e f x^{4} \log{\left(F \right)}^{5} + b^{5} d^{5} f^{2} x^{5} \log{\left(F \right)}^{5} - 3 b^{4} d^{4} e^{2} x^{2} \log{\left(F \right)}^{4} - 8 b^{4} d^{4} e f x^{3} \log{\left(F \right)}^{4} - 5 b^{4} d^{4} f^{2} x^{4} \log{\left(F \right)}^{4} + 6 b^{3} d^{3} e^{2} x \log{\left(F \right)}^{3} + 24 b^{3} d^{3} e f x^{2} \log{\left(F \right)}^{3} + 20 b^{3} d^{3} f^{2} x^{3} \log{\left(F \right)}^{3} - 6 b^{2} d^{2} e^{2} \log{\left(F \right)}^{2} - 48 b^{2} d^{2} e f x \log{\left(F \right)}^{2} - 60 b^{2} d^{2} f^{2} x^{2} \log{\left(F \right)}^{2} + 48 b d e f \log{\left(F \right)} + 120 b d f^{2} x \log{\left(F \right)} - 120 f^{2}\right)}{b^{6} d^{6} \log{\left(F \right)}^{6}} & \text{for}\: b^{6} d^{6} \log{\left(F \right)}^{6} \neq 0 \\\frac{e^{2} x^{4}}{4} + \frac{2 e f x^{5}}{5} + \frac{f^{2} x^{6}}{6} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x))*(b**5*d**5*e**2*x**3*log(F)**5 + 2*b**5*d**5*e*f*x**4*log(F)**5 + b**5*d**5*f**2*x**5*log(F)**5 - 3*b**4*d**4*e**2*x**2*log(F)**4 - 8*b**4*d**4*e*f*x**3*log(F)**4 - 5*b**4*d**4*f**2*x**4*log(F)**4 + 6*b**3*d**3*e**2*x*log(F)**3 + 24*b**3*d**3*e*f*x**2*log(F)**3 + 20*b**3*d**3*f**2*x**3*log(F)**3 - 6*b**2*d**2*e**2*log(F)**2 - 48*b**2*d**2*e*f*x*log(F)**2 - 60*b**2*d**2*f**2*x**2*log(F)**2 + 48*b*d*e*f*log(F) + 120*b*d*f**2*x*log(F) - 120*f**2)/(b**6*d**6*log(F)**6), Ne(b**6*d**6*log(F)**6, 0)), (e**2*x**4/4 + 2*e*f*x**5/5 + f**2*x**6/6, True))","A",0
66,1,260,0,0.280848," ","integrate(F**(a+b*(d*x+c))*x**2*(f*x+e)**2,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)} \left(b^{4} d^{4} e^{2} x^{2} \log{\left(F \right)}^{4} + 2 b^{4} d^{4} e f x^{3} \log{\left(F \right)}^{4} + b^{4} d^{4} f^{2} x^{4} \log{\left(F \right)}^{4} - 2 b^{3} d^{3} e^{2} x \log{\left(F \right)}^{3} - 6 b^{3} d^{3} e f x^{2} \log{\left(F \right)}^{3} - 4 b^{3} d^{3} f^{2} x^{3} \log{\left(F \right)}^{3} + 2 b^{2} d^{2} e^{2} \log{\left(F \right)}^{2} + 12 b^{2} d^{2} e f x \log{\left(F \right)}^{2} + 12 b^{2} d^{2} f^{2} x^{2} \log{\left(F \right)}^{2} - 12 b d e f \log{\left(F \right)} - 24 b d f^{2} x \log{\left(F \right)} + 24 f^{2}\right)}{b^{5} d^{5} \log{\left(F \right)}^{5}} & \text{for}\: b^{5} d^{5} \log{\left(F \right)}^{5} \neq 0 \\\frac{e^{2} x^{3}}{3} + \frac{e f x^{4}}{2} + \frac{f^{2} x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x))*(b**4*d**4*e**2*x**2*log(F)**4 + 2*b**4*d**4*e*f*x**3*log(F)**4 + b**4*d**4*f**2*x**4*log(F)**4 - 2*b**3*d**3*e**2*x*log(F)**3 - 6*b**3*d**3*e*f*x**2*log(F)**3 - 4*b**3*d**3*f**2*x**3*log(F)**3 + 2*b**2*d**2*e**2*log(F)**2 + 12*b**2*d**2*e*f*x*log(F)**2 + 12*b**2*d**2*f**2*x**2*log(F)**2 - 12*b*d*e*f*log(F) - 24*b*d*f**2*x*log(F) + 24*f**2)/(b**5*d**5*log(F)**5), Ne(b**5*d**5*log(F)**5, 0)), (e**2*x**3/3 + e*f*x**4/2 + f**2*x**5/5, True))","A",0
67,1,199,0,0.227297," ","integrate(F**(a+b*(d*x+c))*x*(f*x+e)**2,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)} \left(b^{3} d^{3} e^{2} x \log{\left(F \right)}^{3} + 2 b^{3} d^{3} e f x^{2} \log{\left(F \right)}^{3} + b^{3} d^{3} f^{2} x^{3} \log{\left(F \right)}^{3} - b^{2} d^{2} e^{2} \log{\left(F \right)}^{2} - 4 b^{2} d^{2} e f x \log{\left(F \right)}^{2} - 3 b^{2} d^{2} f^{2} x^{2} \log{\left(F \right)}^{2} + 4 b d e f \log{\left(F \right)} + 6 b d f^{2} x \log{\left(F \right)} - 6 f^{2}\right)}{b^{4} d^{4} \log{\left(F \right)}^{4}} & \text{for}\: b^{4} d^{4} \log{\left(F \right)}^{4} \neq 0 \\\frac{e^{2} x^{2}}{2} + \frac{2 e f x^{3}}{3} + \frac{f^{2} x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x))*(b**3*d**3*e**2*x*log(F)**3 + 2*b**3*d**3*e*f*x**2*log(F)**3 + b**3*d**3*f**2*x**3*log(F)**3 - b**2*d**2*e**2*log(F)**2 - 4*b**2*d**2*e*f*x*log(F)**2 - 3*b**2*d**2*f**2*x**2*log(F)**2 + 4*b*d*e*f*log(F) + 6*b*d*f**2*x*log(F) - 6*f**2)/(b**4*d**4*log(F)**4), Ne(b**4*d**4*log(F)**4, 0)), (e**2*x**2/2 + 2*e*f*x**3/3 + f**2*x**4/4, True))","A",0
68,1,134,0,0.179397," ","integrate(F**(a+b*(d*x+c))*(f*x+e)**2,x)","\begin{cases} \frac{F^{a + b \left(c + d x\right)} \left(b^{2} d^{2} e^{2} \log{\left(F \right)}^{2} + 2 b^{2} d^{2} e f x \log{\left(F \right)}^{2} + b^{2} d^{2} f^{2} x^{2} \log{\left(F \right)}^{2} - 2 b d e f \log{\left(F \right)} - 2 b d f^{2} x \log{\left(F \right)} + 2 f^{2}\right)}{b^{3} d^{3} \log{\left(F \right)}^{3}} & \text{for}\: b^{3} d^{3} \log{\left(F \right)}^{3} \neq 0 \\e^{2} x + e f x^{2} + \frac{f^{2} x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((F**(a + b*(c + d*x))*(b**2*d**2*e**2*log(F)**2 + 2*b**2*d**2*e*f*x*log(F)**2 + b**2*d**2*f**2*x**2*log(F)**2 - 2*b*d*e*f*log(F) - 2*b*d*f**2*x*log(F) + 2*f**2)/(b**3*d**3*log(F)**3), Ne(b**3*d**3*log(F)**3, 0)), (e**2*x + e*f*x**2 + f**2*x**3/3, True))","A",0
69,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c))*(f*x+e)**2/x,x)","\int \frac{F^{a + b \left(c + d x\right)} \left(e + f x\right)^{2}}{x}\, dx"," ",0,"Integral(F**(a + b*(c + d*x))*(e + f*x)**2/x, x)","F",0
70,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c))*(f*x+e)**2/x**2,x)","\int \frac{F^{a + b \left(c + d x\right)} \left(e + f x\right)^{2}}{x^{2}}\, dx"," ",0,"Integral(F**(a + b*(c + d*x))*(e + f*x)**2/x**2, x)","F",0
71,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c))*(f*x+e)**2/x**3,x)","\int \frac{F^{a + b \left(c + d x\right)} \left(e + f x\right)^{2}}{x^{3}}\, dx"," ",0,"Integral(F**(a + b*(c + d*x))*(e + f*x)**2/x**3, x)","F",0
72,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c))*(f*x+e)**2/x**4,x)","\int \frac{F^{a + b \left(c + d x\right)} \left(e + f x\right)^{2}}{x^{4}}\, dx"," ",0,"Integral(F**(a + b*(c + d*x))*(e + f*x)**2/x**4, x)","F",0
73,0,0,0,0.000000," ","integrate(F**(a+b*(d*x+c))*(f*x+e)**2/x**5,x)","\int \frac{F^{a + b \left(c + d x\right)} \left(e + f x\right)^{2}}{x^{5}}\, dx"," ",0,"Integral(F**(a + b*(c + d*x))*(e + f*x)**2/x**5, x)","F",0
74,1,1445,0,0.719933," ","integrate(exp(-b*x-a)*(b*x+a)**4*(d*x+c)**3,x)","\begin{cases} \frac{\left(- a^{4} b^{3} c^{3} - 3 a^{4} b^{3} c^{2} d x - 3 a^{4} b^{3} c d^{2} x^{2} - a^{4} b^{3} d^{3} x^{3} - 3 a^{4} b^{2} c^{2} d - 6 a^{4} b^{2} c d^{2} x - 3 a^{4} b^{2} d^{3} x^{2} - 6 a^{4} b c d^{2} - 6 a^{4} b d^{3} x - 6 a^{4} d^{3} - 4 a^{3} b^{4} c^{3} x - 12 a^{3} b^{4} c^{2} d x^{2} - 12 a^{3} b^{4} c d^{2} x^{3} - 4 a^{3} b^{4} d^{3} x^{4} - 4 a^{3} b^{3} c^{3} - 24 a^{3} b^{3} c^{2} d x - 36 a^{3} b^{3} c d^{2} x^{2} - 16 a^{3} b^{3} d^{3} x^{3} - 24 a^{3} b^{2} c^{2} d - 72 a^{3} b^{2} c d^{2} x - 48 a^{3} b^{2} d^{3} x^{2} - 72 a^{3} b c d^{2} - 96 a^{3} b d^{3} x - 96 a^{3} d^{3} - 6 a^{2} b^{5} c^{3} x^{2} - 18 a^{2} b^{5} c^{2} d x^{3} - 18 a^{2} b^{5} c d^{2} x^{4} - 6 a^{2} b^{5} d^{3} x^{5} - 12 a^{2} b^{4} c^{3} x - 54 a^{2} b^{4} c^{2} d x^{2} - 72 a^{2} b^{4} c d^{2} x^{3} - 30 a^{2} b^{4} d^{3} x^{4} - 12 a^{2} b^{3} c^{3} - 108 a^{2} b^{3} c^{2} d x - 216 a^{2} b^{3} c d^{2} x^{2} - 120 a^{2} b^{3} d^{3} x^{3} - 108 a^{2} b^{2} c^{2} d - 432 a^{2} b^{2} c d^{2} x - 360 a^{2} b^{2} d^{3} x^{2} - 432 a^{2} b c d^{2} - 720 a^{2} b d^{3} x - 720 a^{2} d^{3} - 4 a b^{6} c^{3} x^{3} - 12 a b^{6} c^{2} d x^{4} - 12 a b^{6} c d^{2} x^{5} - 4 a b^{6} d^{3} x^{6} - 12 a b^{5} c^{3} x^{2} - 48 a b^{5} c^{2} d x^{3} - 60 a b^{5} c d^{2} x^{4} - 24 a b^{5} d^{3} x^{5} - 24 a b^{4} c^{3} x - 144 a b^{4} c^{2} d x^{2} - 240 a b^{4} c d^{2} x^{3} - 120 a b^{4} d^{3} x^{4} - 24 a b^{3} c^{3} - 288 a b^{3} c^{2} d x - 720 a b^{3} c d^{2} x^{2} - 480 a b^{3} d^{3} x^{3} - 288 a b^{2} c^{2} d - 1440 a b^{2} c d^{2} x - 1440 a b^{2} d^{3} x^{2} - 1440 a b c d^{2} - 2880 a b d^{3} x - 2880 a d^{3} - b^{7} c^{3} x^{4} - 3 b^{7} c^{2} d x^{5} - 3 b^{7} c d^{2} x^{6} - b^{7} d^{3} x^{7} - 4 b^{6} c^{3} x^{3} - 15 b^{6} c^{2} d x^{4} - 18 b^{6} c d^{2} x^{5} - 7 b^{6} d^{3} x^{6} - 12 b^{5} c^{3} x^{2} - 60 b^{5} c^{2} d x^{3} - 90 b^{5} c d^{2} x^{4} - 42 b^{5} d^{3} x^{5} - 24 b^{4} c^{3} x - 180 b^{4} c^{2} d x^{2} - 360 b^{4} c d^{2} x^{3} - 210 b^{4} d^{3} x^{4} - 24 b^{3} c^{3} - 360 b^{3} c^{2} d x - 1080 b^{3} c d^{2} x^{2} - 840 b^{3} d^{3} x^{3} - 360 b^{2} c^{2} d - 2160 b^{2} c d^{2} x - 2520 b^{2} d^{3} x^{2} - 2160 b c d^{2} - 5040 b d^{3} x - 5040 d^{3}\right) e^{- a - b x}}{b^{4}} & \text{for}\: b^{4} \neq 0 \\a^{4} c^{3} x + \frac{b^{4} d^{3} x^{8}}{8} + x^{7} \left(\frac{4 a b^{3} d^{3}}{7} + \frac{3 b^{4} c d^{2}}{7}\right) + x^{6} \left(a^{2} b^{2} d^{3} + 2 a b^{3} c d^{2} + \frac{b^{4} c^{2} d}{2}\right) + x^{5} \left(\frac{4 a^{3} b d^{3}}{5} + \frac{18 a^{2} b^{2} c d^{2}}{5} + \frac{12 a b^{3} c^{2} d}{5} + \frac{b^{4} c^{3}}{5}\right) + x^{4} \left(\frac{a^{4} d^{3}}{4} + 3 a^{3} b c d^{2} + \frac{9 a^{2} b^{2} c^{2} d}{2} + a b^{3} c^{3}\right) + x^{3} \left(a^{4} c d^{2} + 4 a^{3} b c^{2} d + 2 a^{2} b^{2} c^{3}\right) + x^{2} \left(\frac{3 a^{4} c^{2} d}{2} + 2 a^{3} b c^{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**4*b**3*c**3 - 3*a**4*b**3*c**2*d*x - 3*a**4*b**3*c*d**2*x**2 - a**4*b**3*d**3*x**3 - 3*a**4*b**2*c**2*d - 6*a**4*b**2*c*d**2*x - 3*a**4*b**2*d**3*x**2 - 6*a**4*b*c*d**2 - 6*a**4*b*d**3*x - 6*a**4*d**3 - 4*a**3*b**4*c**3*x - 12*a**3*b**4*c**2*d*x**2 - 12*a**3*b**4*c*d**2*x**3 - 4*a**3*b**4*d**3*x**4 - 4*a**3*b**3*c**3 - 24*a**3*b**3*c**2*d*x - 36*a**3*b**3*c*d**2*x**2 - 16*a**3*b**3*d**3*x**3 - 24*a**3*b**2*c**2*d - 72*a**3*b**2*c*d**2*x - 48*a**3*b**2*d**3*x**2 - 72*a**3*b*c*d**2 - 96*a**3*b*d**3*x - 96*a**3*d**3 - 6*a**2*b**5*c**3*x**2 - 18*a**2*b**5*c**2*d*x**3 - 18*a**2*b**5*c*d**2*x**4 - 6*a**2*b**5*d**3*x**5 - 12*a**2*b**4*c**3*x - 54*a**2*b**4*c**2*d*x**2 - 72*a**2*b**4*c*d**2*x**3 - 30*a**2*b**4*d**3*x**4 - 12*a**2*b**3*c**3 - 108*a**2*b**3*c**2*d*x - 216*a**2*b**3*c*d**2*x**2 - 120*a**2*b**3*d**3*x**3 - 108*a**2*b**2*c**2*d - 432*a**2*b**2*c*d**2*x - 360*a**2*b**2*d**3*x**2 - 432*a**2*b*c*d**2 - 720*a**2*b*d**3*x - 720*a**2*d**3 - 4*a*b**6*c**3*x**3 - 12*a*b**6*c**2*d*x**4 - 12*a*b**6*c*d**2*x**5 - 4*a*b**6*d**3*x**6 - 12*a*b**5*c**3*x**2 - 48*a*b**5*c**2*d*x**3 - 60*a*b**5*c*d**2*x**4 - 24*a*b**5*d**3*x**5 - 24*a*b**4*c**3*x - 144*a*b**4*c**2*d*x**2 - 240*a*b**4*c*d**2*x**3 - 120*a*b**4*d**3*x**4 - 24*a*b**3*c**3 - 288*a*b**3*c**2*d*x - 720*a*b**3*c*d**2*x**2 - 480*a*b**3*d**3*x**3 - 288*a*b**2*c**2*d - 1440*a*b**2*c*d**2*x - 1440*a*b**2*d**3*x**2 - 1440*a*b*c*d**2 - 2880*a*b*d**3*x - 2880*a*d**3 - b**7*c**3*x**4 - 3*b**7*c**2*d*x**5 - 3*b**7*c*d**2*x**6 - b**7*d**3*x**7 - 4*b**6*c**3*x**3 - 15*b**6*c**2*d*x**4 - 18*b**6*c*d**2*x**5 - 7*b**6*d**3*x**6 - 12*b**5*c**3*x**2 - 60*b**5*c**2*d*x**3 - 90*b**5*c*d**2*x**4 - 42*b**5*d**3*x**5 - 24*b**4*c**3*x - 180*b**4*c**2*d*x**2 - 360*b**4*c*d**2*x**3 - 210*b**4*d**3*x**4 - 24*b**3*c**3 - 360*b**3*c**2*d*x - 1080*b**3*c*d**2*x**2 - 840*b**3*d**3*x**3 - 360*b**2*c**2*d - 2160*b**2*c*d**2*x - 2520*b**2*d**3*x**2 - 2160*b*c*d**2 - 5040*b*d**3*x - 5040*d**3)*exp(-a - b*x)/b**4, Ne(b**4, 0)), (a**4*c**3*x + b**4*d**3*x**8/8 + x**7*(4*a*b**3*d**3/7 + 3*b**4*c*d**2/7) + x**6*(a**2*b**2*d**3 + 2*a*b**3*c*d**2 + b**4*c**2*d/2) + x**5*(4*a**3*b*d**3/5 + 18*a**2*b**2*c*d**2/5 + 12*a*b**3*c**2*d/5 + b**4*c**3/5) + x**4*(a**4*d**3/4 + 3*a**3*b*c*d**2 + 9*a**2*b**2*c**2*d/2 + a*b**3*c**3) + x**3*(a**4*c*d**2 + 4*a**3*b*c**2*d + 2*a**2*b**2*c**3) + x**2*(3*a**4*c**2*d/2 + 2*a**3*b*c**3), True))","A",0
75,1,899,0,0.496331," ","integrate(exp(-b*x-a)*(b*x+a)**4*(d*x+c)**2,x)","\begin{cases} \frac{\left(- a^{4} b^{2} c^{2} - 2 a^{4} b^{2} c d x - a^{4} b^{2} d^{2} x^{2} - 2 a^{4} b c d - 2 a^{4} b d^{2} x - 2 a^{4} d^{2} - 4 a^{3} b^{3} c^{2} x - 8 a^{3} b^{3} c d x^{2} - 4 a^{3} b^{3} d^{2} x^{3} - 4 a^{3} b^{2} c^{2} - 16 a^{3} b^{2} c d x - 12 a^{3} b^{2} d^{2} x^{2} - 16 a^{3} b c d - 24 a^{3} b d^{2} x - 24 a^{3} d^{2} - 6 a^{2} b^{4} c^{2} x^{2} - 12 a^{2} b^{4} c d x^{3} - 6 a^{2} b^{4} d^{2} x^{4} - 12 a^{2} b^{3} c^{2} x - 36 a^{2} b^{3} c d x^{2} - 24 a^{2} b^{3} d^{2} x^{3} - 12 a^{2} b^{2} c^{2} - 72 a^{2} b^{2} c d x - 72 a^{2} b^{2} d^{2} x^{2} - 72 a^{2} b c d - 144 a^{2} b d^{2} x - 144 a^{2} d^{2} - 4 a b^{5} c^{2} x^{3} - 8 a b^{5} c d x^{4} - 4 a b^{5} d^{2} x^{5} - 12 a b^{4} c^{2} x^{2} - 32 a b^{4} c d x^{3} - 20 a b^{4} d^{2} x^{4} - 24 a b^{3} c^{2} x - 96 a b^{3} c d x^{2} - 80 a b^{3} d^{2} x^{3} - 24 a b^{2} c^{2} - 192 a b^{2} c d x - 240 a b^{2} d^{2} x^{2} - 192 a b c d - 480 a b d^{2} x - 480 a d^{2} - b^{6} c^{2} x^{4} - 2 b^{6} c d x^{5} - b^{6} d^{2} x^{6} - 4 b^{5} c^{2} x^{3} - 10 b^{5} c d x^{4} - 6 b^{5} d^{2} x^{5} - 12 b^{4} c^{2} x^{2} - 40 b^{4} c d x^{3} - 30 b^{4} d^{2} x^{4} - 24 b^{3} c^{2} x - 120 b^{3} c d x^{2} - 120 b^{3} d^{2} x^{3} - 24 b^{2} c^{2} - 240 b^{2} c d x - 360 b^{2} d^{2} x^{2} - 240 b c d - 720 b d^{2} x - 720 d^{2}\right) e^{- a - b x}}{b^{3}} & \text{for}\: b^{3} \neq 0 \\a^{4} c^{2} x + \frac{b^{4} d^{2} x^{7}}{7} + x^{6} \left(\frac{2 a b^{3} d^{2}}{3} + \frac{b^{4} c d}{3}\right) + x^{5} \left(\frac{6 a^{2} b^{2} d^{2}}{5} + \frac{8 a b^{3} c d}{5} + \frac{b^{4} c^{2}}{5}\right) + x^{4} \left(a^{3} b d^{2} + 3 a^{2} b^{2} c d + a b^{3} c^{2}\right) + x^{3} \left(\frac{a^{4} d^{2}}{3} + \frac{8 a^{3} b c d}{3} + 2 a^{2} b^{2} c^{2}\right) + x^{2} \left(a^{4} c d + 2 a^{3} b c^{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**4*b**2*c**2 - 2*a**4*b**2*c*d*x - a**4*b**2*d**2*x**2 - 2*a**4*b*c*d - 2*a**4*b*d**2*x - 2*a**4*d**2 - 4*a**3*b**3*c**2*x - 8*a**3*b**3*c*d*x**2 - 4*a**3*b**3*d**2*x**3 - 4*a**3*b**2*c**2 - 16*a**3*b**2*c*d*x - 12*a**3*b**2*d**2*x**2 - 16*a**3*b*c*d - 24*a**3*b*d**2*x - 24*a**3*d**2 - 6*a**2*b**4*c**2*x**2 - 12*a**2*b**4*c*d*x**3 - 6*a**2*b**4*d**2*x**4 - 12*a**2*b**3*c**2*x - 36*a**2*b**3*c*d*x**2 - 24*a**2*b**3*d**2*x**3 - 12*a**2*b**2*c**2 - 72*a**2*b**2*c*d*x - 72*a**2*b**2*d**2*x**2 - 72*a**2*b*c*d - 144*a**2*b*d**2*x - 144*a**2*d**2 - 4*a*b**5*c**2*x**3 - 8*a*b**5*c*d*x**4 - 4*a*b**5*d**2*x**5 - 12*a*b**4*c**2*x**2 - 32*a*b**4*c*d*x**3 - 20*a*b**4*d**2*x**4 - 24*a*b**3*c**2*x - 96*a*b**3*c*d*x**2 - 80*a*b**3*d**2*x**3 - 24*a*b**2*c**2 - 192*a*b**2*c*d*x - 240*a*b**2*d**2*x**2 - 192*a*b*c*d - 480*a*b*d**2*x - 480*a*d**2 - b**6*c**2*x**4 - 2*b**6*c*d*x**5 - b**6*d**2*x**6 - 4*b**5*c**2*x**3 - 10*b**5*c*d*x**4 - 6*b**5*d**2*x**5 - 12*b**4*c**2*x**2 - 40*b**4*c*d*x**3 - 30*b**4*d**2*x**4 - 24*b**3*c**2*x - 120*b**3*c*d*x**2 - 120*b**3*d**2*x**3 - 24*b**2*c**2 - 240*b**2*c*d*x - 360*b**2*d**2*x**2 - 240*b*c*d - 720*b*d**2*x - 720*d**2)*exp(-a - b*x)/b**3, Ne(b**3, 0)), (a**4*c**2*x + b**4*d**2*x**7/7 + x**6*(2*a*b**3*d**2/3 + b**4*c*d/3) + x**5*(6*a**2*b**2*d**2/5 + 8*a*b**3*c*d/5 + b**4*c**2/5) + x**4*(a**3*b*d**2 + 3*a**2*b**2*c*d + a*b**3*c**2) + x**3*(a**4*d**2/3 + 8*a**3*b*c*d/3 + 2*a**2*b**2*c**2) + x**2*(a**4*c*d + 2*a**3*b*c**2), True))","A",0
76,1,447,0,0.314807," ","integrate(exp(-b*x-a)*(b*x+a)**4*(d*x+c),x)","\begin{cases} \frac{\left(- a^{4} b c - a^{4} b d x - a^{4} d - 4 a^{3} b^{2} c x - 4 a^{3} b^{2} d x^{2} - 4 a^{3} b c - 8 a^{3} b d x - 8 a^{3} d - 6 a^{2} b^{3} c x^{2} - 6 a^{2} b^{3} d x^{3} - 12 a^{2} b^{2} c x - 18 a^{2} b^{2} d x^{2} - 12 a^{2} b c - 36 a^{2} b d x - 36 a^{2} d - 4 a b^{4} c x^{3} - 4 a b^{4} d x^{4} - 12 a b^{3} c x^{2} - 16 a b^{3} d x^{3} - 24 a b^{2} c x - 48 a b^{2} d x^{2} - 24 a b c - 96 a b d x - 96 a d - b^{5} c x^{4} - b^{5} d x^{5} - 4 b^{4} c x^{3} - 5 b^{4} d x^{4} - 12 b^{3} c x^{2} - 20 b^{3} d x^{3} - 24 b^{2} c x - 60 b^{2} d x^{2} - 24 b c - 120 b d x - 120 d\right) e^{- a - b x}}{b^{2}} & \text{for}\: b^{2} \neq 0 \\a^{4} c x + \frac{b^{4} d x^{6}}{6} + x^{5} \left(\frac{4 a b^{3} d}{5} + \frac{b^{4} c}{5}\right) + x^{4} \left(\frac{3 a^{2} b^{2} d}{2} + a b^{3} c\right) + x^{3} \left(\frac{4 a^{3} b d}{3} + 2 a^{2} b^{2} c\right) + x^{2} \left(\frac{a^{4} d}{2} + 2 a^{3} b c\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**4*b*c - a**4*b*d*x - a**4*d - 4*a**3*b**2*c*x - 4*a**3*b**2*d*x**2 - 4*a**3*b*c - 8*a**3*b*d*x - 8*a**3*d - 6*a**2*b**3*c*x**2 - 6*a**2*b**3*d*x**3 - 12*a**2*b**2*c*x - 18*a**2*b**2*d*x**2 - 12*a**2*b*c - 36*a**2*b*d*x - 36*a**2*d - 4*a*b**4*c*x**3 - 4*a*b**4*d*x**4 - 12*a*b**3*c*x**2 - 16*a*b**3*d*x**3 - 24*a*b**2*c*x - 48*a*b**2*d*x**2 - 24*a*b*c - 96*a*b*d*x - 96*a*d - b**5*c*x**4 - b**5*d*x**5 - 4*b**4*c*x**3 - 5*b**4*d*x**4 - 12*b**3*c*x**2 - 20*b**3*d*x**3 - 24*b**2*c*x - 60*b**2*d*x**2 - 24*b*c - 120*b*d*x - 120*d)*exp(-a - b*x)/b**2, Ne(b**2, 0)), (a**4*c*x + b**4*d*x**6/6 + x**5*(4*a*b**3*d/5 + b**4*c/5) + x**4*(3*a**2*b**2*d/2 + a*b**3*c) + x**3*(4*a**3*b*d/3 + 2*a**2*b**2*c) + x**2*(a**4*d/2 + 2*a**3*b*c), True))","A",0
77,1,158,0,0.275744," ","integrate(exp(-b*x-a)*(b*x+a)**4,x)","\begin{cases} \frac{\left(- a^{4} - 4 a^{3} b x - 4 a^{3} - 6 a^{2} b^{2} x^{2} - 12 a^{2} b x - 12 a^{2} - 4 a b^{3} x^{3} - 12 a b^{2} x^{2} - 24 a b x - 24 a - b^{4} x^{4} - 4 b^{3} x^{3} - 12 b^{2} x^{2} - 24 b x - 24\right) e^{- a - b x}}{b} & \text{for}\: b \neq 0 \\a^{4} x + 2 a^{3} b x^{2} + 2 a^{2} b^{2} x^{3} + a b^{3} x^{4} + \frac{b^{4} x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((-a**4 - 4*a**3*b*x - 4*a**3 - 6*a**2*b**2*x**2 - 12*a**2*b*x - 12*a**2 - 4*a*b**3*x**3 - 12*a*b**2*x**2 - 24*a*b*x - 24*a - b**4*x**4 - 4*b**3*x**3 - 12*b**2*x**2 - 24*b*x - 24)*exp(-a - b*x)/b, Ne(b, 0)), (a**4*x + 2*a**3*b*x**2 + 2*a**2*b**2*x**3 + a*b**3*x**4 + b**4*x**5/5, True))","A",0
78,0,0,0,0.000000," ","integrate(exp(-b*x-a)*(b*x+a)**4/(d*x+c),x)","\left(\int \frac{a^{4}}{c e^{b x} + d x e^{b x}}\, dx + \int \frac{b^{4} x^{4}}{c e^{b x} + d x e^{b x}}\, dx + \int \frac{4 a b^{3} x^{3}}{c e^{b x} + d x e^{b x}}\, dx + \int \frac{6 a^{2} b^{2} x^{2}}{c e^{b x} + d x e^{b x}}\, dx + \int \frac{4 a^{3} b x}{c e^{b x} + d x e^{b x}}\, dx\right) e^{- a}"," ",0,"(Integral(a**4/(c*exp(b*x) + d*x*exp(b*x)), x) + Integral(b**4*x**4/(c*exp(b*x) + d*x*exp(b*x)), x) + Integral(4*a*b**3*x**3/(c*exp(b*x) + d*x*exp(b*x)), x) + Integral(6*a**2*b**2*x**2/(c*exp(b*x) + d*x*exp(b*x)), x) + Integral(4*a**3*b*x/(c*exp(b*x) + d*x*exp(b*x)), x))*exp(-a)","F",0
79,0,0,0,0.000000," ","integrate(exp(-b*x-a)*(b*x+a)**4/(d*x+c)**2,x)","\left(\int \frac{a^{4}}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx + \int \frac{b^{4} x^{4}}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx + \int \frac{4 a b^{3} x^{3}}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx + \int \frac{6 a^{2} b^{2} x^{2}}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx + \int \frac{4 a^{3} b x}{c^{2} e^{b x} + 2 c d x e^{b x} + d^{2} x^{2} e^{b x}}\, dx\right) e^{- a}"," ",0,"(Integral(a**4/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x) + Integral(b**4*x**4/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x) + Integral(4*a*b**3*x**3/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x) + Integral(6*a**2*b**2*x**2/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x) + Integral(4*a**3*b*x/(c**2*exp(b*x) + 2*c*d*x*exp(b*x) + d**2*x**2*exp(b*x)), x))*exp(-a)","F",0
80,0,0,0,0.000000," ","integrate(exp(-b*x-a)*(b*x+a)**4/(d*x+c)**3,x)","\left(\int \frac{a^{4}}{c^{3} e^{b x} + 3 c^{2} d x e^{b x} + 3 c d^{2} x^{2} e^{b x} + d^{3} x^{3} e^{b x}}\, dx + \int \frac{b^{4} x^{4}}{c^{3} e^{b x} + 3 c^{2} d x e^{b x} + 3 c d^{2} x^{2} e^{b x} + d^{3} x^{3} e^{b x}}\, dx + \int \frac{4 a b^{3} x^{3}}{c^{3} e^{b x} + 3 c^{2} d x e^{b x} + 3 c d^{2} x^{2} e^{b x} + d^{3} x^{3} e^{b x}}\, dx + \int \frac{6 a^{2} b^{2} x^{2}}{c^{3} e^{b x} + 3 c^{2} d x e^{b x} + 3 c d^{2} x^{2} e^{b x} + d^{3} x^{3} e^{b x}}\, dx + \int \frac{4 a^{3} b x}{c^{3} e^{b x} + 3 c^{2} d x e^{b x} + 3 c d^{2} x^{2} e^{b x} + d^{3} x^{3} e^{b x}}\, dx\right) e^{- a}"," ",0,"(Integral(a**4/(c**3*exp(b*x) + 3*c**2*d*x*exp(b*x) + 3*c*d**2*x**2*exp(b*x) + d**3*x**3*exp(b*x)), x) + Integral(b**4*x**4/(c**3*exp(b*x) + 3*c**2*d*x*exp(b*x) + 3*c*d**2*x**2*exp(b*x) + d**3*x**3*exp(b*x)), x) + Integral(4*a*b**3*x**3/(c**3*exp(b*x) + 3*c**2*d*x*exp(b*x) + 3*c*d**2*x**2*exp(b*x) + d**3*x**3*exp(b*x)), x) + Integral(6*a**2*b**2*x**2/(c**3*exp(b*x) + 3*c**2*d*x*exp(b*x) + 3*c*d**2*x**2*exp(b*x) + d**3*x**3*exp(b*x)), x) + Integral(4*a**3*b*x/(c**3*exp(b*x) + 3*c**2*d*x*exp(b*x) + 3*c*d**2*x**2*exp(b*x) + d**3*x**3*exp(b*x)), x))*exp(-a)","F",0
81,-1,0,0,0.000000," ","integrate(exp(-b*x-a)*(b*x+a)**4/(d*x+c)**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
82,-1,0,0,0.000000," ","integrate(exp(-b*x-a)*(b*x+a)**4/(d*x+c)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
83,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))*x**m*ln(d*x)**n*(e+e*n+e*(1+m+b*c*x*ln(F))*ln(d*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
84,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))*x**2*ln(d*x)**n*(e+e*n+e*(3+b*c*x*ln(F))*ln(d*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
85,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))*x*ln(d*x)**n*(e+e*n+e*(2+b*c*x*ln(F))*ln(d*x)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
86,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*ln(d*x)**n*(e+e*n+e*(1+b*c*x*ln(F))*ln(d*x)),x)","e \left(\int F^{a c} F^{b c x} \log{\left(d x \right)}^{n}\, dx + \int F^{a c} F^{b c x} n \log{\left(d x \right)}^{n}\, dx + \int F^{a c} F^{b c x} \log{\left(d x \right)} \log{\left(d x \right)}^{n}\, dx + \int F^{a c} F^{b c x} b c x \log{\left(F \right)} \log{\left(d x \right)} \log{\left(d x \right)}^{n}\, dx\right)"," ",0,"e*(Integral(F**(a*c)*F**(b*c*x)*log(d*x)**n, x) + Integral(F**(a*c)*F**(b*c*x)*n*log(d*x)**n, x) + Integral(F**(a*c)*F**(b*c*x)*log(d*x)*log(d*x)**n, x) + Integral(F**(a*c)*F**(b*c*x)*b*c*x*log(F)*log(d*x)*log(d*x)**n, x))","F",0
87,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*ln(d*x)**n*(e+e*n+b*c*e*x*ln(F)*ln(d*x))/x,x)","e \left(\int \frac{F^{a c} F^{b c x} \log{\left(d x \right)}^{n}}{x}\, dx + \int \frac{F^{a c} F^{b c x} n \log{\left(d x \right)}^{n}}{x}\, dx + \int F^{a c} F^{b c x} b c \log{\left(F \right)} \log{\left(d x \right)} \log{\left(d x \right)}^{n}\, dx\right)"," ",0,"e*(Integral(F**(a*c)*F**(b*c*x)*log(d*x)**n/x, x) + Integral(F**(a*c)*F**(b*c*x)*n*log(d*x)**n/x, x) + Integral(F**(a*c)*F**(b*c*x)*b*c*log(F)*log(d*x)*log(d*x)**n, x))","F",0
88,0,0,0,0.000000," ","integrate(F**(c*(b*x+a))*ln(d*x)**n*(e+e*n+e*(-1+b*c*x*ln(F))*ln(d*x))/x**2,x)","e \left(\int \frac{F^{a c} F^{b c x} \log{\left(d x \right)}^{n}}{x^{2}}\, dx + \int \frac{F^{a c} F^{b c x} n \log{\left(d x \right)}^{n}}{x^{2}}\, dx + \int \left(- \frac{F^{a c} F^{b c x} \log{\left(d x \right)} \log{\left(d x \right)}^{n}}{x^{2}}\right)\, dx + \int \frac{F^{a c} F^{b c x} b c \log{\left(F \right)} \log{\left(d x \right)} \log{\left(d x \right)}^{n}}{x}\, dx\right)"," ",0,"e*(Integral(F**(a*c)*F**(b*c*x)*log(d*x)**n/x**2, x) + Integral(F**(a*c)*F**(b*c*x)*n*log(d*x)**n/x**2, x) + Integral(-F**(a*c)*F**(b*c*x)*log(d*x)*log(d*x)**n/x**2, x) + Integral(F**(a*c)*F**(b*c*x)*b*c*log(F)*log(d*x)*log(d*x)**n/x, x))","F",0
89,-1,0,0,0.000000," ","integrate(F**(c*(b*x+a))*ln(d*x)**n*(e+e*n+e*(-2+b*c*x*ln(F))*ln(d*x))/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
90,1,51,0,0.129444," ","integrate(x**4*exp(b*x+a)**(1/2),x)","\begin{cases} \frac{\left(2 b^{4} x^{4} - 16 b^{3} x^{3} + 96 b^{2} x^{2} - 384 b x + 768\right) \sqrt{e^{a + b x}}}{b^{5}} & \text{for}\: b^{5} \neq 0 \\\frac{x^{5}}{5} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((2*b**4*x**4 - 16*b**3*x**3 + 96*b**2*x**2 - 384*b*x + 768)*sqrt(exp(a + b*x))/b**5, Ne(b**5, 0)), (x**5/5, True))","A",0
91,1,42,0,0.125293," ","integrate(x**3*exp(b*x+a)**(1/2),x)","\begin{cases} \frac{\left(2 b^{3} x^{3} - 12 b^{2} x^{2} + 48 b x - 96\right) \sqrt{e^{a + b x}}}{b^{4}} & \text{for}\: b^{4} \neq 0 \\\frac{x^{4}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((2*b**3*x**3 - 12*b**2*x**2 + 48*b*x - 96)*sqrt(exp(a + b*x))/b**4, Ne(b**4, 0)), (x**4/4, True))","A",0
92,1,34,0,0.116380," ","integrate(x**2*exp(b*x+a)**(1/2),x)","\begin{cases} \frac{\left(2 b^{2} x^{2} - 8 b x + 16\right) \sqrt{e^{a + b x}}}{b^{3}} & \text{for}\: b^{3} \neq 0 \\\frac{x^{3}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((2*b**2*x**2 - 8*b*x + 16)*sqrt(exp(a + b*x))/b**3, Ne(b**3, 0)), (x**3/3, True))","A",0
93,1,26,0,0.106066," ","integrate(x*exp(b*x+a)**(1/2),x)","\begin{cases} \frac{\left(2 b x - 4\right) \sqrt{e^{a + b x}}}{b^{2}} & \text{for}\: b^{2} \neq 0 \\\frac{x^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((2*b*x - 4)*sqrt(exp(a + b*x))/b**2, Ne(b**2, 0)), (x**2/2, True))","A",0
94,1,14,0,0.092697," ","integrate(exp(b*x+a)**(1/2),x)","\begin{cases} \frac{2 \sqrt{e^{a + b x}}}{b} & \text{for}\: b \neq 0 \\x & \text{otherwise} \end{cases}"," ",0,"Piecewise((2*sqrt(exp(a + b*x))/b, Ne(b, 0)), (x, True))","A",0
95,0,0,0,0.000000," ","integrate(exp(b*x+a)**(1/2)/x,x)","\int \frac{\sqrt{e^{a} e^{b x}}}{x}\, dx"," ",0,"Integral(sqrt(exp(a)*exp(b*x))/x, x)","F",0
96,0,0,0,0.000000," ","integrate(exp(b*x+a)**(1/2)/x**2,x)","\int \frac{\sqrt{e^{a} e^{b x}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(exp(a)*exp(b*x))/x**2, x)","F",0
97,0,0,0,0.000000," ","integrate(exp(b*x+a)**(1/2)/x**3,x)","\int \frac{\sqrt{e^{a} e^{b x}}}{x^{3}}\, dx"," ",0,"Integral(sqrt(exp(a)*exp(b*x))/x**3, x)","F",0
98,0,0,0,0.000000," ","integrate(exp(b*x+a)**(1/2)/x**4,x)","\int \frac{\sqrt{e^{a} e^{b x}}}{x^{4}}\, dx"," ",0,"Integral(sqrt(exp(a)*exp(b*x))/x**4, x)","F",0
