1,1,231,0,4.669431," ","integrate((d*e*x+c*e)**3*(a+b*atan(d*x+c)),x)","\begin{cases} a c^{3} e^{3} x + \frac{3 a c^{2} d e^{3} x^{2}}{2} + a c d^{2} e^{3} x^{3} + \frac{a d^{3} e^{3} x^{4}}{4} + \frac{b c^{4} e^{3} \operatorname{atan}{\left(c + d x \right)}}{4 d} + b c^{3} e^{3} x \operatorname{atan}{\left(c + d x \right)} + \frac{3 b c^{2} d e^{3} x^{2} \operatorname{atan}{\left(c + d x \right)}}{2} - \frac{b c^{2} e^{3} x}{4} + b c d^{2} e^{3} x^{3} \operatorname{atan}{\left(c + d x \right)} - \frac{b c d e^{3} x^{2}}{4} + \frac{b d^{3} e^{3} x^{4} \operatorname{atan}{\left(c + d x \right)}}{4} - \frac{b d^{2} e^{3} x^{3}}{12} + \frac{b e^{3} x}{4} - \frac{b e^{3} \operatorname{atan}{\left(c + d x \right)}}{4 d} & \text{for}\: d \neq 0 \\c^{3} e^{3} x \left(a + b \operatorname{atan}{\left(c \right)}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**3*e**3*x + 3*a*c**2*d*e**3*x**2/2 + a*c*d**2*e**3*x**3 + a*d**3*e**3*x**4/4 + b*c**4*e**3*atan(c + d*x)/(4*d) + b*c**3*e**3*x*atan(c + d*x) + 3*b*c**2*d*e**3*x**2*atan(c + d*x)/2 - b*c**2*e**3*x/4 + b*c*d**2*e**3*x**3*atan(c + d*x) - b*c*d*e**3*x**2/4 + b*d**3*e**3*x**4*atan(c + d*x)/4 - b*d**2*e**3*x**3/12 + b*e**3*x/4 - b*e**3*atan(c + d*x)/(4*d), Ne(d, 0)), (c**3*e**3*x*(a + b*atan(c)), True))","A",0
2,1,182,0,3.928941," ","integrate((d*e*x+c*e)**2*(a+b*atan(d*x+c)),x)","\begin{cases} a c^{2} e^{2} x + a c d e^{2} x^{2} + \frac{a d^{2} e^{2} x^{3}}{3} + \frac{b c^{3} e^{2} \operatorname{atan}{\left(c + d x \right)}}{3 d} + b c^{2} e^{2} x \operatorname{atan}{\left(c + d x \right)} + b c d e^{2} x^{2} \operatorname{atan}{\left(c + d x \right)} - \frac{b c e^{2} x}{3} + \frac{b d^{2} e^{2} x^{3} \operatorname{atan}{\left(c + d x \right)}}{3} - \frac{b d e^{2} x^{2}}{6} + \frac{b e^{2} \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{3 d} - \frac{i b e^{2} \operatorname{atan}{\left(c + d x \right)}}{3 d} & \text{for}\: d \neq 0 \\c^{2} e^{2} x \left(a + b \operatorname{atan}{\left(c \right)}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c**2*e**2*x + a*c*d*e**2*x**2 + a*d**2*e**2*x**3/3 + b*c**3*e**2*atan(c + d*x)/(3*d) + b*c**2*e**2*x*atan(c + d*x) + b*c*d*e**2*x**2*atan(c + d*x) - b*c*e**2*x/3 + b*d**2*e**2*x**3*atan(c + d*x)/3 - b*d*e**2*x**2/6 + b*e**2*log(c/d + x - I/d)/(3*d) - I*b*e**2*atan(c + d*x)/(3*d), Ne(d, 0)), (c**2*e**2*x*(a + b*atan(c)), True))","A",0
3,1,95,0,2.014155," ","integrate((d*e*x+c*e)*(a+b*atan(d*x+c)),x)","\begin{cases} a c e x + \frac{a d e x^{2}}{2} + \frac{b c^{2} e \operatorname{atan}{\left(c + d x \right)}}{2 d} + b c e x \operatorname{atan}{\left(c + d x \right)} + \frac{b d e x^{2} \operatorname{atan}{\left(c + d x \right)}}{2} - \frac{b e x}{2} + \frac{b e \operatorname{atan}{\left(c + d x \right)}}{2 d} & \text{for}\: d \neq 0 \\c e x \left(a + b \operatorname{atan}{\left(c \right)}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c*e*x + a*d*e*x**2/2 + b*c**2*e*atan(c + d*x)/(2*d) + b*c*e*x*atan(c + d*x) + b*d*e*x**2*atan(c + d*x)/2 - b*e*x/2 + b*e*atan(c + d*x)/(2*d), Ne(d, 0)), (c*e*x*(a + b*atan(c)), True))","A",0
4,0,0,0,0.000000," ","integrate((a+b*atan(d*x+c))/(d*e*x+c*e),x)","\frac{\int \frac{a}{c + d x}\, dx + \int \frac{b \operatorname{atan}{\left(c + d x \right)}}{c + d x}\, dx}{e}"," ",0,"(Integral(a/(c + d*x), x) + Integral(b*atan(c + d*x)/(c + d*x), x))/e","F",0
5,1,284,0,6.886210," ","integrate((a+b*atan(d*x+c))/(d*e*x+c*e)**2,x)","\begin{cases} \frac{\tilde{\infty} a}{e^{2} x} & \text{for}\: c = 0 \wedge d = 0 \\\frac{x \left(a + b \operatorname{atan}{\left(c \right)}\right)}{c^{2} e^{2}} & \text{for}\: d = 0 \\\frac{- \frac{a}{x} + b d \log{\left(x \right)} - \frac{b d \log{\left(x^{2} + \frac{1}{d^{2}} \right)}}{2} - \frac{b \operatorname{atan}{\left(d x \right)}}{x}}{d^{2} e^{2}} & \text{for}\: c = 0 \\\frac{a}{- c d e^{2} - d^{2} e^{2} x} - \frac{b c \log{\left(\frac{c}{d} + x \right)}}{- c d e^{2} - d^{2} e^{2} x} + \frac{b c \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{- c d e^{2} - d^{2} e^{2} x} - \frac{i b c \operatorname{atan}{\left(c + d x \right)}}{- c d e^{2} - d^{2} e^{2} x} - \frac{b d x \log{\left(\frac{c}{d} + x \right)}}{- c d e^{2} - d^{2} e^{2} x} + \frac{b d x \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{- c d e^{2} - d^{2} e^{2} x} - \frac{i b d x \operatorname{atan}{\left(c + d x \right)}}{- c d e^{2} - d^{2} e^{2} x} + \frac{b \operatorname{atan}{\left(c + d x \right)}}{- c d e^{2} - d^{2} e^{2} x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*a/(e**2*x), Eq(c, 0) & Eq(d, 0)), (x*(a + b*atan(c))/(c**2*e**2), Eq(d, 0)), ((-a/x + b*d*log(x) - b*d*log(x**2 + d**(-2))/2 - b*atan(d*x)/x)/(d**2*e**2), Eq(c, 0)), (a/(-c*d*e**2 - d**2*e**2*x) - b*c*log(c/d + x)/(-c*d*e**2 - d**2*e**2*x) + b*c*log(c/d + x - I/d)/(-c*d*e**2 - d**2*e**2*x) - I*b*c*atan(c + d*x)/(-c*d*e**2 - d**2*e**2*x) - b*d*x*log(c/d + x)/(-c*d*e**2 - d**2*e**2*x) + b*d*x*log(c/d + x - I/d)/(-c*d*e**2 - d**2*e**2*x) - I*b*d*x*atan(c + d*x)/(-c*d*e**2 - d**2*e**2*x) + b*atan(c + d*x)/(-c*d*e**2 - d**2*e**2*x), True))","A",0
6,1,314,0,12.389097," ","integrate((a+b*atan(d*x+c))/(d*e*x+c*e)**3,x)","\begin{cases} - \frac{a}{2 c^{2} d e^{3} + 4 c d^{2} e^{3} x + 2 d^{3} e^{3} x^{2}} - \frac{b c^{2} \operatorname{atan}{\left(c + d x \right)}}{2 c^{2} d e^{3} + 4 c d^{2} e^{3} x + 2 d^{3} e^{3} x^{2}} - \frac{2 b c d x \operatorname{atan}{\left(c + d x \right)}}{2 c^{2} d e^{3} + 4 c d^{2} e^{3} x + 2 d^{3} e^{3} x^{2}} - \frac{b c}{2 c^{2} d e^{3} + 4 c d^{2} e^{3} x + 2 d^{3} e^{3} x^{2}} - \frac{b d^{2} x^{2} \operatorname{atan}{\left(c + d x \right)}}{2 c^{2} d e^{3} + 4 c d^{2} e^{3} x + 2 d^{3} e^{3} x^{2}} - \frac{b d x}{2 c^{2} d e^{3} + 4 c d^{2} e^{3} x + 2 d^{3} e^{3} x^{2}} - \frac{b \operatorname{atan}{\left(c + d x \right)}}{2 c^{2} d e^{3} + 4 c d^{2} e^{3} x + 2 d^{3} e^{3} x^{2}} & \text{for}\: d \neq 0 \\\frac{x \left(a + b \operatorname{atan}{\left(c \right)}\right)}{c^{3} e^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a/(2*c**2*d*e**3 + 4*c*d**2*e**3*x + 2*d**3*e**3*x**2) - b*c**2*atan(c + d*x)/(2*c**2*d*e**3 + 4*c*d**2*e**3*x + 2*d**3*e**3*x**2) - 2*b*c*d*x*atan(c + d*x)/(2*c**2*d*e**3 + 4*c*d**2*e**3*x + 2*d**3*e**3*x**2) - b*c/(2*c**2*d*e**3 + 4*c*d**2*e**3*x + 2*d**3*e**3*x**2) - b*d**2*x**2*atan(c + d*x)/(2*c**2*d*e**3 + 4*c*d**2*e**3*x + 2*d**3*e**3*x**2) - b*d*x/(2*c**2*d*e**3 + 4*c*d**2*e**3*x + 2*d**3*e**3*x**2) - b*atan(c + d*x)/(2*c**2*d*e**3 + 4*c*d**2*e**3*x + 2*d**3*e**3*x**2), Ne(d, 0)), (x*(a + b*atan(c))/(c**3*e**3), True))","A",0
7,1,583,0,11.420317," ","integrate((d*e*x+c*e)**3*(a+b*atan(d*x+c))**2,x)","\begin{cases} a^{2} c^{3} e^{3} x + \frac{3 a^{2} c^{2} d e^{3} x^{2}}{2} + a^{2} c d^{2} e^{3} x^{3} + \frac{a^{2} d^{3} e^{3} x^{4}}{4} + \frac{a b c^{4} e^{3} \operatorname{atan}{\left(c + d x \right)}}{2 d} + 2 a b c^{3} e^{3} x \operatorname{atan}{\left(c + d x \right)} + 3 a b c^{2} d e^{3} x^{2} \operatorname{atan}{\left(c + d x \right)} - \frac{a b c^{2} e^{3} x}{2} + 2 a b c d^{2} e^{3} x^{3} \operatorname{atan}{\left(c + d x \right)} - \frac{a b c d e^{3} x^{2}}{2} + \frac{a b d^{3} e^{3} x^{4} \operatorname{atan}{\left(c + d x \right)}}{2} - \frac{a b d^{2} e^{3} x^{3}}{6} + \frac{a b e^{3} x}{2} - \frac{a b e^{3} \operatorname{atan}{\left(c + d x \right)}}{2 d} + \frac{b^{2} c^{4} e^{3} \operatorname{atan}^{2}{\left(c + d x \right)}}{4 d} + b^{2} c^{3} e^{3} x \operatorname{atan}^{2}{\left(c + d x \right)} - \frac{b^{2} c^{3} e^{3} \operatorname{atan}{\left(c + d x \right)}}{6 d} + \frac{3 b^{2} c^{2} d e^{3} x^{2} \operatorname{atan}^{2}{\left(c + d x \right)}}{2} - \frac{b^{2} c^{2} e^{3} x \operatorname{atan}{\left(c + d x \right)}}{2} + b^{2} c d^{2} e^{3} x^{3} \operatorname{atan}^{2}{\left(c + d x \right)} - \frac{b^{2} c d e^{3} x^{2} \operatorname{atan}{\left(c + d x \right)}}{2} + \frac{b^{2} c e^{3} x}{6} + \frac{b^{2} c e^{3} \operatorname{atan}{\left(c + d x \right)}}{2 d} + \frac{b^{2} d^{3} e^{3} x^{4} \operatorname{atan}^{2}{\left(c + d x \right)}}{4} - \frac{b^{2} d^{2} e^{3} x^{3} \operatorname{atan}{\left(c + d x \right)}}{6} + \frac{b^{2} d e^{3} x^{2}}{12} + \frac{b^{2} e^{3} x \operatorname{atan}{\left(c + d x \right)}}{2} - \frac{2 b^{2} e^{3} \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{3 d} - \frac{b^{2} e^{3} \operatorname{atan}^{2}{\left(c + d x \right)}}{4 d} + \frac{2 i b^{2} e^{3} \operatorname{atan}{\left(c + d x \right)}}{3 d} & \text{for}\: d \neq 0 \\c^{3} e^{3} x \left(a + b \operatorname{atan}{\left(c \right)}\right)^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*c**3*e**3*x + 3*a**2*c**2*d*e**3*x**2/2 + a**2*c*d**2*e**3*x**3 + a**2*d**3*e**3*x**4/4 + a*b*c**4*e**3*atan(c + d*x)/(2*d) + 2*a*b*c**3*e**3*x*atan(c + d*x) + 3*a*b*c**2*d*e**3*x**2*atan(c + d*x) - a*b*c**2*e**3*x/2 + 2*a*b*c*d**2*e**3*x**3*atan(c + d*x) - a*b*c*d*e**3*x**2/2 + a*b*d**3*e**3*x**4*atan(c + d*x)/2 - a*b*d**2*e**3*x**3/6 + a*b*e**3*x/2 - a*b*e**3*atan(c + d*x)/(2*d) + b**2*c**4*e**3*atan(c + d*x)**2/(4*d) + b**2*c**3*e**3*x*atan(c + d*x)**2 - b**2*c**3*e**3*atan(c + d*x)/(6*d) + 3*b**2*c**2*d*e**3*x**2*atan(c + d*x)**2/2 - b**2*c**2*e**3*x*atan(c + d*x)/2 + b**2*c*d**2*e**3*x**3*atan(c + d*x)**2 - b**2*c*d*e**3*x**2*atan(c + d*x)/2 + b**2*c*e**3*x/6 + b**2*c*e**3*atan(c + d*x)/(2*d) + b**2*d**3*e**3*x**4*atan(c + d*x)**2/4 - b**2*d**2*e**3*x**3*atan(c + d*x)/6 + b**2*d*e**3*x**2/12 + b**2*e**3*x*atan(c + d*x)/2 - 2*b**2*e**3*log(c/d + x - I/d)/(3*d) - b**2*e**3*atan(c + d*x)**2/(4*d) + 2*I*b**2*e**3*atan(c + d*x)/(3*d), Ne(d, 0)), (c**3*e**3*x*(a + b*atan(c))**2, True))","A",0
8,0,0,0,0.000000," ","integrate((d*e*x+c*e)**2*(a+b*atan(d*x+c))**2,x)","e^{2} \left(\int a^{2} c^{2}\, dx + \int a^{2} d^{2} x^{2}\, dx + \int b^{2} c^{2} \operatorname{atan}^{2}{\left(c + d x \right)}\, dx + \int 2 a b c^{2} \operatorname{atan}{\left(c + d x \right)}\, dx + \int 2 a^{2} c d x\, dx + \int b^{2} d^{2} x^{2} \operatorname{atan}^{2}{\left(c + d x \right)}\, dx + \int 2 a b d^{2} x^{2} \operatorname{atan}{\left(c + d x \right)}\, dx + \int 2 b^{2} c d x \operatorname{atan}^{2}{\left(c + d x \right)}\, dx + \int 4 a b c d x \operatorname{atan}{\left(c + d x \right)}\, dx\right)"," ",0,"e**2*(Integral(a**2*c**2, x) + Integral(a**2*d**2*x**2, x) + Integral(b**2*c**2*atan(c + d*x)**2, x) + Integral(2*a*b*c**2*atan(c + d*x), x) + Integral(2*a**2*c*d*x, x) + Integral(b**2*d**2*x**2*atan(c + d*x)**2, x) + Integral(2*a*b*d**2*x**2*atan(c + d*x), x) + Integral(2*b**2*c*d*x*atan(c + d*x)**2, x) + Integral(4*a*b*c*d*x*atan(c + d*x), x))","F",0
9,1,240,0,4.302584," ","integrate((d*e*x+c*e)*(a+b*atan(d*x+c))**2,x)","\begin{cases} a^{2} c e x + \frac{a^{2} d e x^{2}}{2} + \frac{a b c^{2} e \operatorname{atan}{\left(c + d x \right)}}{d} + 2 a b c e x \operatorname{atan}{\left(c + d x \right)} + a b d e x^{2} \operatorname{atan}{\left(c + d x \right)} - a b e x + \frac{a b e \operatorname{atan}{\left(c + d x \right)}}{d} + \frac{b^{2} c^{2} e \operatorname{atan}^{2}{\left(c + d x \right)}}{2 d} + b^{2} c e x \operatorname{atan}^{2}{\left(c + d x \right)} - \frac{b^{2} c e \operatorname{atan}{\left(c + d x \right)}}{d} + \frac{b^{2} d e x^{2} \operatorname{atan}^{2}{\left(c + d x \right)}}{2} - b^{2} e x \operatorname{atan}{\left(c + d x \right)} + \frac{b^{2} e \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{d} + \frac{b^{2} e \operatorname{atan}^{2}{\left(c + d x \right)}}{2 d} - \frac{i b^{2} e \operatorname{atan}{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\c e x \left(a + b \operatorname{atan}{\left(c \right)}\right)^{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*c*e*x + a**2*d*e*x**2/2 + a*b*c**2*e*atan(c + d*x)/d + 2*a*b*c*e*x*atan(c + d*x) + a*b*d*e*x**2*atan(c + d*x) - a*b*e*x + a*b*e*atan(c + d*x)/d + b**2*c**2*e*atan(c + d*x)**2/(2*d) + b**2*c*e*x*atan(c + d*x)**2 - b**2*c*e*atan(c + d*x)/d + b**2*d*e*x**2*atan(c + d*x)**2/2 - b**2*e*x*atan(c + d*x) + b**2*e*log(c/d + x - I/d)/d + b**2*e*atan(c + d*x)**2/(2*d) - I*b**2*e*atan(c + d*x)/d, Ne(d, 0)), (c*e*x*(a + b*atan(c))**2, True))","A",0
10,0,0,0,0.000000," ","integrate((a+b*atan(d*x+c))**2/(d*e*x+c*e),x)","\frac{\int \frac{a^{2}}{c + d x}\, dx + \int \frac{b^{2} \operatorname{atan}^{2}{\left(c + d x \right)}}{c + d x}\, dx + \int \frac{2 a b \operatorname{atan}{\left(c + d x \right)}}{c + d x}\, dx}{e}"," ",0,"(Integral(a**2/(c + d*x), x) + Integral(b**2*atan(c + d*x)**2/(c + d*x), x) + Integral(2*a*b*atan(c + d*x)/(c + d*x), x))/e","F",0
11,0,0,0,0.000000," ","integrate((a+b*atan(d*x+c))**2/(d*e*x+c*e)**2,x)","\frac{\int \frac{a^{2}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{b^{2} \operatorname{atan}^{2}{\left(c + d x \right)}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{2 a b \operatorname{atan}{\left(c + d x \right)}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx}{e^{2}}"," ",0,"(Integral(a**2/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(b**2*atan(c + d*x)**2/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(2*a*b*atan(c + d*x)/(c**2 + 2*c*d*x + d**2*x**2), x))/e**2","F",0
12,1,1144,0,21.955665," ","integrate((a+b*atan(d*x+c))**2/(d*e*x+c*e)**3,x)","\begin{cases} \frac{a^{2}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{2 a b c^{2} \operatorname{atan}{\left(c + d x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{4 a b c d x \operatorname{atan}{\left(c + d x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{2 a b c}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{2 a b d^{2} x^{2} \operatorname{atan}{\left(c + d x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{2 a b d x}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{2 a b \operatorname{atan}{\left(c + d x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} - \frac{2 b^{2} c^{2} \log{\left(\frac{c}{d} + x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{2 b^{2} c^{2} \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{b^{2} c^{2} \operatorname{atan}^{2}{\left(c + d x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} - \frac{2 i b^{2} c^{2} \operatorname{atan}{\left(c + d x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} - \frac{4 b^{2} c d x \log{\left(\frac{c}{d} + x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{4 b^{2} c d x \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{2 b^{2} c d x \operatorname{atan}^{2}{\left(c + d x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} - \frac{4 i b^{2} c d x \operatorname{atan}{\left(c + d x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{2 b^{2} c \operatorname{atan}{\left(c + d x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} - \frac{2 b^{2} d^{2} x^{2} \log{\left(\frac{c}{d} + x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{2 b^{2} d^{2} x^{2} \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{b^{2} d^{2} x^{2} \operatorname{atan}^{2}{\left(c + d x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} - \frac{2 i b^{2} d^{2} x^{2} \operatorname{atan}{\left(c + d x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{2 b^{2} d x \operatorname{atan}{\left(c + d x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} + \frac{b^{2} \operatorname{atan}^{2}{\left(c + d x \right)}}{- 2 c^{2} d e^{3} - 4 c d^{2} e^{3} x - 2 d^{3} e^{3} x^{2}} & \text{for}\: d \neq 0 \\\frac{x \left(a + b \operatorname{atan}{\left(c \right)}\right)^{2}}{c^{3} e^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + 2*a*b*c**2*atan(c + d*x)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + 4*a*b*c*d*x*atan(c + d*x)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + 2*a*b*c/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + 2*a*b*d**2*x**2*atan(c + d*x)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + 2*a*b*d*x/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + 2*a*b*atan(c + d*x)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) - 2*b**2*c**2*log(c/d + x)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + 2*b**2*c**2*log(c/d + x - I/d)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + b**2*c**2*atan(c + d*x)**2/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) - 2*I*b**2*c**2*atan(c + d*x)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) - 4*b**2*c*d*x*log(c/d + x)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + 4*b**2*c*d*x*log(c/d + x - I/d)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + 2*b**2*c*d*x*atan(c + d*x)**2/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) - 4*I*b**2*c*d*x*atan(c + d*x)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + 2*b**2*c*atan(c + d*x)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) - 2*b**2*d**2*x**2*log(c/d + x)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + 2*b**2*d**2*x**2*log(c/d + x - I/d)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + b**2*d**2*x**2*atan(c + d*x)**2/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) - 2*I*b**2*d**2*x**2*atan(c + d*x)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + 2*b**2*d*x*atan(c + d*x)/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2) + b**2*atan(c + d*x)**2/(-2*c**2*d*e**3 - 4*c*d**2*e**3*x - 2*d**3*e**3*x**2), Ne(d, 0)), (x*(a + b*atan(c))**2/(c**3*e**3), True))","A",0
13,0,0,0,0.000000," ","integrate((a+b*atan(d*x+c))**2/(d*e*x+c*e)**4,x)","\frac{\int \frac{a^{2}}{c^{4} + 4 c^{3} d x + 6 c^{2} d^{2} x^{2} + 4 c d^{3} x^{3} + d^{4} x^{4}}\, dx + \int \frac{b^{2} \operatorname{atan}^{2}{\left(c + d x \right)}}{c^{4} + 4 c^{3} d x + 6 c^{2} d^{2} x^{2} + 4 c d^{3} x^{3} + d^{4} x^{4}}\, dx + \int \frac{2 a b \operatorname{atan}{\left(c + d x \right)}}{c^{4} + 4 c^{3} d x + 6 c^{2} d^{2} x^{2} + 4 c d^{3} x^{3} + d^{4} x^{4}}\, dx}{e^{4}}"," ",0,"(Integral(a**2/(c**4 + 4*c**3*d*x + 6*c**2*d**2*x**2 + 4*c*d**3*x**3 + d**4*x**4), x) + Integral(b**2*atan(c + d*x)**2/(c**4 + 4*c**3*d*x + 6*c**2*d**2*x**2 + 4*c*d**3*x**3 + d**4*x**4), x) + Integral(2*a*b*atan(c + d*x)/(c**4 + 4*c**3*d*x + 6*c**2*d**2*x**2 + 4*c*d**3*x**3 + d**4*x**4), x))/e**4","F",0
14,-1,0,0,0.000000," ","integrate((a+b*atan(d*x+c))**2/(d*e*x+c*e)**5,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,0,0,0,0.000000," ","integrate((d*e*x+c*e)**2*(a+b*atan(d*x+c))**3,x)","e^{2} \left(\int a^{3} c^{2}\, dx + \int a^{3} d^{2} x^{2}\, dx + \int b^{3} c^{2} \operatorname{atan}^{3}{\left(c + d x \right)}\, dx + \int 3 a b^{2} c^{2} \operatorname{atan}^{2}{\left(c + d x \right)}\, dx + \int 3 a^{2} b c^{2} \operatorname{atan}{\left(c + d x \right)}\, dx + \int 2 a^{3} c d x\, dx + \int b^{3} d^{2} x^{2} \operatorname{atan}^{3}{\left(c + d x \right)}\, dx + \int 3 a b^{2} d^{2} x^{2} \operatorname{atan}^{2}{\left(c + d x \right)}\, dx + \int 3 a^{2} b d^{2} x^{2} \operatorname{atan}{\left(c + d x \right)}\, dx + \int 2 b^{3} c d x \operatorname{atan}^{3}{\left(c + d x \right)}\, dx + \int 6 a b^{2} c d x \operatorname{atan}^{2}{\left(c + d x \right)}\, dx + \int 6 a^{2} b c d x \operatorname{atan}{\left(c + d x \right)}\, dx\right)"," ",0,"e**2*(Integral(a**3*c**2, x) + Integral(a**3*d**2*x**2, x) + Integral(b**3*c**2*atan(c + d*x)**3, x) + Integral(3*a*b**2*c**2*atan(c + d*x)**2, x) + Integral(3*a**2*b*c**2*atan(c + d*x), x) + Integral(2*a**3*c*d*x, x) + Integral(b**3*d**2*x**2*atan(c + d*x)**3, x) + Integral(3*a*b**2*d**2*x**2*atan(c + d*x)**2, x) + Integral(3*a**2*b*d**2*x**2*atan(c + d*x), x) + Integral(2*b**3*c*d*x*atan(c + d*x)**3, x) + Integral(6*a*b**2*c*d*x*atan(c + d*x)**2, x) + Integral(6*a**2*b*c*d*x*atan(c + d*x), x))","F",0
16,0,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*atan(d*x+c))**3,x)","e \left(\int a^{3} c\, dx + \int a^{3} d x\, dx + \int b^{3} c \operatorname{atan}^{3}{\left(c + d x \right)}\, dx + \int 3 a b^{2} c \operatorname{atan}^{2}{\left(c + d x \right)}\, dx + \int 3 a^{2} b c \operatorname{atan}{\left(c + d x \right)}\, dx + \int b^{3} d x \operatorname{atan}^{3}{\left(c + d x \right)}\, dx + \int 3 a b^{2} d x \operatorname{atan}^{2}{\left(c + d x \right)}\, dx + \int 3 a^{2} b d x \operatorname{atan}{\left(c + d x \right)}\, dx\right)"," ",0,"e*(Integral(a**3*c, x) + Integral(a**3*d*x, x) + Integral(b**3*c*atan(c + d*x)**3, x) + Integral(3*a*b**2*c*atan(c + d*x)**2, x) + Integral(3*a**2*b*c*atan(c + d*x), x) + Integral(b**3*d*x*atan(c + d*x)**3, x) + Integral(3*a*b**2*d*x*atan(c + d*x)**2, x) + Integral(3*a**2*b*d*x*atan(c + d*x), x))","F",0
17,0,0,0,0.000000," ","integrate((a+b*atan(d*x+c))**3/(d*e*x+c*e),x)","\frac{\int \frac{a^{3}}{c + d x}\, dx + \int \frac{b^{3} \operatorname{atan}^{3}{\left(c + d x \right)}}{c + d x}\, dx + \int \frac{3 a b^{2} \operatorname{atan}^{2}{\left(c + d x \right)}}{c + d x}\, dx + \int \frac{3 a^{2} b \operatorname{atan}{\left(c + d x \right)}}{c + d x}\, dx}{e}"," ",0,"(Integral(a**3/(c + d*x), x) + Integral(b**3*atan(c + d*x)**3/(c + d*x), x) + Integral(3*a*b**2*atan(c + d*x)**2/(c + d*x), x) + Integral(3*a**2*b*atan(c + d*x)/(c + d*x), x))/e","F",0
18,0,0,0,0.000000," ","integrate((a+b*atan(d*x+c))**3/(d*e*x+c*e)**2,x)","\frac{\int \frac{a^{3}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{b^{3} \operatorname{atan}^{3}{\left(c + d x \right)}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{3 a b^{2} \operatorname{atan}^{2}{\left(c + d x \right)}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{3 a^{2} b \operatorname{atan}{\left(c + d x \right)}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx}{e^{2}}"," ",0,"(Integral(a**3/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(b**3*atan(c + d*x)**3/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(3*a*b**2*atan(c + d*x)**2/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(3*a**2*b*atan(c + d*x)/(c**2 + 2*c*d*x + d**2*x**2), x))/e**2","F",0
19,0,0,0,0.000000," ","integrate((a+b*atan(d*x+c))**3/(d*e*x+c*e)**3,x)","\frac{\int \frac{a^{3}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{b^{3} \operatorname{atan}^{3}{\left(c + d x \right)}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{3 a b^{2} \operatorname{atan}^{2}{\left(c + d x \right)}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx + \int \frac{3 a^{2} b \operatorname{atan}{\left(c + d x \right)}}{c^{3} + 3 c^{2} d x + 3 c d^{2} x^{2} + d^{3} x^{3}}\, dx}{e^{3}}"," ",0,"(Integral(a**3/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(b**3*atan(c + d*x)**3/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(3*a*b**2*atan(c + d*x)**2/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x) + Integral(3*a**2*b*atan(c + d*x)/(c**3 + 3*c**2*d*x + 3*c*d**2*x**2 + d**3*x**3), x))/e**3","F",0
20,0,0,0,0.000000," ","integrate((a+b*atan(d*x+c))**3/(d*e*x+c*e)**4,x)","\frac{\int \frac{a^{3}}{c^{4} + 4 c^{3} d x + 6 c^{2} d^{2} x^{2} + 4 c d^{3} x^{3} + d^{4} x^{4}}\, dx + \int \frac{b^{3} \operatorname{atan}^{3}{\left(c + d x \right)}}{c^{4} + 4 c^{3} d x + 6 c^{2} d^{2} x^{2} + 4 c d^{3} x^{3} + d^{4} x^{4}}\, dx + \int \frac{3 a b^{2} \operatorname{atan}^{2}{\left(c + d x \right)}}{c^{4} + 4 c^{3} d x + 6 c^{2} d^{2} x^{2} + 4 c d^{3} x^{3} + d^{4} x^{4}}\, dx + \int \frac{3 a^{2} b \operatorname{atan}{\left(c + d x \right)}}{c^{4} + 4 c^{3} d x + 6 c^{2} d^{2} x^{2} + 4 c d^{3} x^{3} + d^{4} x^{4}}\, dx}{e^{4}}"," ",0,"(Integral(a**3/(c**4 + 4*c**3*d*x + 6*c**2*d**2*x**2 + 4*c*d**3*x**3 + d**4*x**4), x) + Integral(b**3*atan(c + d*x)**3/(c**4 + 4*c**3*d*x + 6*c**2*d**2*x**2 + 4*c*d**3*x**3 + d**4*x**4), x) + Integral(3*a*b**2*atan(c + d*x)**2/(c**4 + 4*c**3*d*x + 6*c**2*d**2*x**2 + 4*c*d**3*x**3 + d**4*x**4), x) + Integral(3*a**2*b*atan(c + d*x)/(c**4 + 4*c**3*d*x + 6*c**2*d**2*x**2 + 4*c*d**3*x**3 + d**4*x**4), x))/e**4","F",0
21,0,0,0,0.000000," ","integrate(atan(1+x)/(2+2*x),x)","\frac{\int \frac{\operatorname{atan}{\left(x + 1 \right)}}{x + 1}\, dx}{2}"," ",0,"Integral(atan(x + 1)/(x + 1), x)/2","F",0
22,0,0,0,0.000000," ","integrate(atan(b*x+a)/(a*d/b+d*x),x)","\frac{b \int \frac{\operatorname{atan}{\left(a + b x \right)}}{a + b x}\, dx}{d}"," ",0,"b*Integral(atan(a + b*x)/(a + b*x), x)/d","F",0
23,0,0,0,0.000000," ","integrate((b*x+a)**2*atan(b*x+a)**(1/2),x)","\int \left(a + b x\right)^{2} \sqrt{\operatorname{atan}{\left(a + b x \right)}}\, dx"," ",0,"Integral((a + b*x)**2*sqrt(atan(a + b*x)), x)","F",0
24,1,654,0,25.363467," ","integrate((f*x+e)**3*(a+b*atan(d*x+c)),x)","\begin{cases} a e^{3} x + \frac{3 a e^{2} f x^{2}}{2} + a e f^{2} x^{3} + \frac{a f^{3} x^{4}}{4} - \frac{b c^{4} f^{3} \operatorname{atan}{\left(c + d x \right)}}{4 d^{4}} + \frac{b c^{3} e f^{2} \operatorname{atan}{\left(c + d x \right)}}{d^{3}} + \frac{b c^{3} f^{3} \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{d^{4}} - \frac{i b c^{3} f^{3} \operatorname{atan}{\left(c + d x \right)}}{d^{4}} - \frac{3 b c^{2} e^{2} f \operatorname{atan}{\left(c + d x \right)}}{2 d^{2}} - \frac{3 b c^{2} e f^{2} \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{d^{3}} + \frac{3 i b c^{2} e f^{2} \operatorname{atan}{\left(c + d x \right)}}{d^{3}} - \frac{3 b c^{2} f^{3} x}{4 d^{3}} + \frac{3 b c^{2} f^{3} \operatorname{atan}{\left(c + d x \right)}}{2 d^{4}} + \frac{b c e^{3} \operatorname{atan}{\left(c + d x \right)}}{d} + \frac{3 b c e^{2} f \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{d^{2}} - \frac{3 i b c e^{2} f \operatorname{atan}{\left(c + d x \right)}}{d^{2}} + \frac{2 b c e f^{2} x}{d^{2}} + \frac{b c f^{3} x^{2}}{4 d^{2}} - \frac{3 b c e f^{2} \operatorname{atan}{\left(c + d x \right)}}{d^{3}} - \frac{b c f^{3} \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{d^{4}} + \frac{i b c f^{3} \operatorname{atan}{\left(c + d x \right)}}{d^{4}} + b e^{3} x \operatorname{atan}{\left(c + d x \right)} + \frac{3 b e^{2} f x^{2} \operatorname{atan}{\left(c + d x \right)}}{2} + b e f^{2} x^{3} \operatorname{atan}{\left(c + d x \right)} + \frac{b f^{3} x^{4} \operatorname{atan}{\left(c + d x \right)}}{4} - \frac{b e^{3} \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{d} + \frac{i b e^{3} \operatorname{atan}{\left(c + d x \right)}}{d} - \frac{3 b e^{2} f x}{2 d} - \frac{b e f^{2} x^{2}}{2 d} - \frac{b f^{3} x^{3}}{12 d} + \frac{3 b e^{2} f \operatorname{atan}{\left(c + d x \right)}}{2 d^{2}} + \frac{b e f^{2} \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{d^{3}} - \frac{i b e f^{2} \operatorname{atan}{\left(c + d x \right)}}{d^{3}} + \frac{b f^{3} x}{4 d^{3}} - \frac{b f^{3} \operatorname{atan}{\left(c + d x \right)}}{4 d^{4}} & \text{for}\: d \neq 0 \\\left(a + b \operatorname{atan}{\left(c \right)}\right) \left(e^{3} x + \frac{3 e^{2} f x^{2}}{2} + e f^{2} x^{3} + \frac{f^{3} x^{4}}{4}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*e**3*x + 3*a*e**2*f*x**2/2 + a*e*f**2*x**3 + a*f**3*x**4/4 - b*c**4*f**3*atan(c + d*x)/(4*d**4) + b*c**3*e*f**2*atan(c + d*x)/d**3 + b*c**3*f**3*log(c/d + x - I/d)/d**4 - I*b*c**3*f**3*atan(c + d*x)/d**4 - 3*b*c**2*e**2*f*atan(c + d*x)/(2*d**2) - 3*b*c**2*e*f**2*log(c/d + x - I/d)/d**3 + 3*I*b*c**2*e*f**2*atan(c + d*x)/d**3 - 3*b*c**2*f**3*x/(4*d**3) + 3*b*c**2*f**3*atan(c + d*x)/(2*d**4) + b*c*e**3*atan(c + d*x)/d + 3*b*c*e**2*f*log(c/d + x - I/d)/d**2 - 3*I*b*c*e**2*f*atan(c + d*x)/d**2 + 2*b*c*e*f**2*x/d**2 + b*c*f**3*x**2/(4*d**2) - 3*b*c*e*f**2*atan(c + d*x)/d**3 - b*c*f**3*log(c/d + x - I/d)/d**4 + I*b*c*f**3*atan(c + d*x)/d**4 + b*e**3*x*atan(c + d*x) + 3*b*e**2*f*x**2*atan(c + d*x)/2 + b*e*f**2*x**3*atan(c + d*x) + b*f**3*x**4*atan(c + d*x)/4 - b*e**3*log(c/d + x - I/d)/d + I*b*e**3*atan(c + d*x)/d - 3*b*e**2*f*x/(2*d) - b*e*f**2*x**2/(2*d) - b*f**3*x**3/(12*d) + 3*b*e**2*f*atan(c + d*x)/(2*d**2) + b*e*f**2*log(c/d + x - I/d)/d**3 - I*b*e*f**2*atan(c + d*x)/d**3 + b*f**3*x/(4*d**3) - b*f**3*atan(c + d*x)/(4*d**4), Ne(d, 0)), ((a + b*atan(c))*(e**3*x + 3*e**2*f*x**2/2 + e*f**2*x**3 + f**3*x**4/4), True))","A",0
25,1,376,0,10.655265," ","integrate((f*x+e)**2*(a+b*atan(d*x+c)),x)","\begin{cases} a e^{2} x + a e f x^{2} + \frac{a f^{2} x^{3}}{3} + \frac{b c^{3} f^{2} \operatorname{atan}{\left(c + d x \right)}}{3 d^{3}} - \frac{b c^{2} e f \operatorname{atan}{\left(c + d x \right)}}{d^{2}} - \frac{b c^{2} f^{2} \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{d^{3}} + \frac{i b c^{2} f^{2} \operatorname{atan}{\left(c + d x \right)}}{d^{3}} + \frac{b c e^{2} \operatorname{atan}{\left(c + d x \right)}}{d} + \frac{2 b c e f \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{d^{2}} - \frac{2 i b c e f \operatorname{atan}{\left(c + d x \right)}}{d^{2}} + \frac{2 b c f^{2} x}{3 d^{2}} - \frac{b c f^{2} \operatorname{atan}{\left(c + d x \right)}}{d^{3}} + b e^{2} x \operatorname{atan}{\left(c + d x \right)} + b e f x^{2} \operatorname{atan}{\left(c + d x \right)} + \frac{b f^{2} x^{3} \operatorname{atan}{\left(c + d x \right)}}{3} - \frac{b e^{2} \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{d} + \frac{i b e^{2} \operatorname{atan}{\left(c + d x \right)}}{d} - \frac{b e f x}{d} - \frac{b f^{2} x^{2}}{6 d} + \frac{b e f \operatorname{atan}{\left(c + d x \right)}}{d^{2}} + \frac{b f^{2} \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{3 d^{3}} - \frac{i b f^{2} \operatorname{atan}{\left(c + d x \right)}}{3 d^{3}} & \text{for}\: d \neq 0 \\\left(a + b \operatorname{atan}{\left(c \right)}\right) \left(e^{2} x + e f x^{2} + \frac{f^{2} x^{3}}{3}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*e**2*x + a*e*f*x**2 + a*f**2*x**3/3 + b*c**3*f**2*atan(c + d*x)/(3*d**3) - b*c**2*e*f*atan(c + d*x)/d**2 - b*c**2*f**2*log(c/d + x - I/d)/d**3 + I*b*c**2*f**2*atan(c + d*x)/d**3 + b*c*e**2*atan(c + d*x)/d + 2*b*c*e*f*log(c/d + x - I/d)/d**2 - 2*I*b*c*e*f*atan(c + d*x)/d**2 + 2*b*c*f**2*x/(3*d**2) - b*c*f**2*atan(c + d*x)/d**3 + b*e**2*x*atan(c + d*x) + b*e*f*x**2*atan(c + d*x) + b*f**2*x**3*atan(c + d*x)/3 - b*e**2*log(c/d + x - I/d)/d + I*b*e**2*atan(c + d*x)/d - b*e*f*x/d - b*f**2*x**2/(6*d) + b*e*f*atan(c + d*x)/d**2 + b*f**2*log(c/d + x - I/d)/(3*d**3) - I*b*f**2*atan(c + d*x)/(3*d**3), Ne(d, 0)), ((a + b*atan(c))*(e**2*x + e*f*x**2 + f**2*x**3/3), True))","A",0
26,1,177,0,4.544851," ","integrate((f*x+e)*(a+b*atan(d*x+c)),x)","\begin{cases} a e x + \frac{a f x^{2}}{2} - \frac{b c^{2} f \operatorname{atan}{\left(c + d x \right)}}{2 d^{2}} + \frac{b c e \operatorname{atan}{\left(c + d x \right)}}{d} + \frac{b c f \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{d^{2}} - \frac{i b c f \operatorname{atan}{\left(c + d x \right)}}{d^{2}} + b e x \operatorname{atan}{\left(c + d x \right)} + \frac{b f x^{2} \operatorname{atan}{\left(c + d x \right)}}{2} - \frac{b e \log{\left(\frac{c}{d} + x - \frac{i}{d} \right)}}{d} + \frac{i b e \operatorname{atan}{\left(c + d x \right)}}{d} - \frac{b f x}{2 d} + \frac{b f \operatorname{atan}{\left(c + d x \right)}}{2 d^{2}} & \text{for}\: d \neq 0 \\\left(a + b \operatorname{atan}{\left(c \right)}\right) \left(e x + \frac{f x^{2}}{2}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*e*x + a*f*x**2/2 - b*c**2*f*atan(c + d*x)/(2*d**2) + b*c*e*atan(c + d*x)/d + b*c*f*log(c/d + x - I/d)/d**2 - I*b*c*f*atan(c + d*x)/d**2 + b*e*x*atan(c + d*x) + b*f*x**2*atan(c + d*x)/2 - b*e*log(c/d + x - I/d)/d + I*b*e*atan(c + d*x)/d - b*f*x/(2*d) + b*f*atan(c + d*x)/(2*d**2), Ne(d, 0)), ((a + b*atan(c))*(e*x + f*x**2/2), True))","A",0
27,1,51,0,0.365997," ","integrate(a+b*atan(d*x+c),x)","a x + b \left(\begin{cases} \frac{c \operatorname{atan}{\left(c + d x \right)}}{d} + x \operatorname{atan}{\left(c + d x \right)} - \frac{\log{\left(c^{2} + 2 c d x + d^{2} x^{2} + 1 \right)}}{2 d} & \text{for}\: d \neq 0 \\x \operatorname{atan}{\left(c \right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*x + b*Piecewise((c*atan(c + d*x)/d + x*atan(c + d*x) - log(c**2 + 2*c*d*x + d**2*x**2 + 1)/(2*d), Ne(d, 0)), (x*atan(c), True))","A",0
28,0,0,0,0.000000," ","integrate((a+b*atan(d*x+c))/(f*x+e),x)","\int \frac{a + b \operatorname{atan}{\left(c + d x \right)}}{e + f x}\, dx"," ",0,"Integral((a + b*atan(c + d*x))/(e + f*x), x)","F",0
29,-1,0,0,0.000000," ","integrate((a+b*atan(d*x+c))/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
30,-1,0,0,0.000000," ","integrate((a+b*atan(d*x+c))/(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
31,0,0,0,0.000000," ","integrate((f*x+e)**2*(a+b*atan(d*x+c))**2,x)","\int \left(a + b \operatorname{atan}{\left(c + d x \right)}\right)^{2} \left(e + f x\right)^{2}\, dx"," ",0,"Integral((a + b*atan(c + d*x))**2*(e + f*x)**2, x)","F",0
32,0,0,0,0.000000," ","integrate((f*x+e)*(a+b*atan(d*x+c))**2,x)","\int \left(a + b \operatorname{atan}{\left(c + d x \right)}\right)^{2} \left(e + f x\right)\, dx"," ",0,"Integral((a + b*atan(c + d*x))**2*(e + f*x), x)","F",0
33,0,0,0,0.000000," ","integrate((a+b*atan(d*x+c))**2,x)","\int \left(a + b \operatorname{atan}{\left(c + d x \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*atan(c + d*x))**2, x)","F",0
34,0,0,0,0.000000," ","integrate((a+b*atan(d*x+c))**2/(f*x+e),x)","\int \frac{\left(a + b \operatorname{atan}{\left(c + d x \right)}\right)^{2}}{e + f x}\, dx"," ",0,"Integral((a + b*atan(c + d*x))**2/(e + f*x), x)","F",0
35,-1,0,0,0.000000," ","integrate((a+b*atan(d*x+c))**2/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
36,0,0,0,0.000000," ","integrate((f*x+e)**2*(a+b*atan(d*x+c))**3,x)","\int \left(a + b \operatorname{atan}{\left(c + d x \right)}\right)^{3} \left(e + f x\right)^{2}\, dx"," ",0,"Integral((a + b*atan(c + d*x))**3*(e + f*x)**2, x)","F",0
37,0,0,0,0.000000," ","integrate((f*x+e)*(a+b*atan(d*x+c))**3,x)","\int \left(a + b \operatorname{atan}{\left(c + d x \right)}\right)^{3} \left(e + f x\right)\, dx"," ",0,"Integral((a + b*atan(c + d*x))**3*(e + f*x), x)","F",0
38,0,0,0,0.000000," ","integrate((a+b*atan(d*x+c))**3,x)","\int \left(a + b \operatorname{atan}{\left(c + d x \right)}\right)^{3}\, dx"," ",0,"Integral((a + b*atan(c + d*x))**3, x)","F",0
39,0,0,0,0.000000," ","integrate((a+b*atan(d*x+c))**3/(f*x+e),x)","\int \frac{\left(a + b \operatorname{atan}{\left(c + d x \right)}\right)^{3}}{e + f x}\, dx"," ",0,"Integral((a + b*atan(c + d*x))**3/(e + f*x), x)","F",0
40,-1,0,0,0.000000," ","integrate((a+b*atan(d*x+c))**3/(f*x+e)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
41,-1,0,0,0.000000," ","integrate((f*x+e)**m*(a+b*atan(d*x+c)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,-1,0,0,0.000000," ","integrate((f*x+e)**m*(a+b*atan(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
43,-1,0,0,0.000000," ","integrate((f*x+e)**m*(a+b*atan(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
44,1,155,0,1.579668," ","integrate(x**3*atan(b*x+a),x)","\begin{cases} - \frac{a^{4} \operatorname{atan}{\left(a + b x \right)}}{4 b^{4}} + \frac{a^{3} \log{\left(a^{2} + 2 a b x + b^{2} x^{2} + 1 \right)}}{2 b^{4}} - \frac{3 a^{2} x}{4 b^{3}} + \frac{3 a^{2} \operatorname{atan}{\left(a + b x \right)}}{2 b^{4}} + \frac{a x^{2}}{4 b^{2}} - \frac{a \log{\left(a^{2} + 2 a b x + b^{2} x^{2} + 1 \right)}}{2 b^{4}} + \frac{x^{4} \operatorname{atan}{\left(a + b x \right)}}{4} - \frac{x^{3}}{12 b} + \frac{x}{4 b^{3}} - \frac{\operatorname{atan}{\left(a + b x \right)}}{4 b^{4}} & \text{for}\: b \neq 0 \\\frac{x^{4} \operatorname{atan}{\left(a \right)}}{4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**4*atan(a + b*x)/(4*b**4) + a**3*log(a**2 + 2*a*b*x + b**2*x**2 + 1)/(2*b**4) - 3*a**2*x/(4*b**3) + 3*a**2*atan(a + b*x)/(2*b**4) + a*x**2/(4*b**2) - a*log(a**2 + 2*a*b*x + b**2*x**2 + 1)/(2*b**4) + x**4*atan(a + b*x)/4 - x**3/(12*b) + x/(4*b**3) - atan(a + b*x)/(4*b**4), Ne(b, 0)), (x**4*atan(a)/4, True))","A",0
45,1,117,0,1.154127," ","integrate(x**2*atan(b*x+a),x)","\begin{cases} \frac{a^{3} \operatorname{atan}{\left(a + b x \right)}}{3 b^{3}} - \frac{a^{2} \log{\left(a^{2} + 2 a b x + b^{2} x^{2} + 1 \right)}}{2 b^{3}} + \frac{2 a x}{3 b^{2}} - \frac{a \operatorname{atan}{\left(a + b x \right)}}{b^{3}} + \frac{x^{3} \operatorname{atan}{\left(a + b x \right)}}{3} - \frac{x^{2}}{6 b} + \frac{\log{\left(a^{2} + 2 a b x + b^{2} x^{2} + 1 \right)}}{6 b^{3}} & \text{for}\: b \neq 0 \\\frac{x^{3} \operatorname{atan}{\left(a \right)}}{3} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**3*atan(a + b*x)/(3*b**3) - a**2*log(a**2 + 2*a*b*x + b**2*x**2 + 1)/(2*b**3) + 2*a*x/(3*b**2) - a*atan(a + b*x)/b**3 + x**3*atan(a + b*x)/3 - x**2/(6*b) + log(a**2 + 2*a*b*x + b**2*x**2 + 1)/(6*b**3), Ne(b, 0)), (x**3*atan(a)/3, True))","A",0
46,1,78,0,0.642698," ","integrate(x*atan(b*x+a),x)","\begin{cases} - \frac{a^{2} \operatorname{atan}{\left(a + b x \right)}}{2 b^{2}} + \frac{a \log{\left(a^{2} + 2 a b x + b^{2} x^{2} + 1 \right)}}{2 b^{2}} + \frac{x^{2} \operatorname{atan}{\left(a + b x \right)}}{2} - \frac{x}{2 b} + \frac{\operatorname{atan}{\left(a + b x \right)}}{2 b^{2}} & \text{for}\: b \neq 0 \\\frac{x^{2} \operatorname{atan}{\left(a \right)}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-a**2*atan(a + b*x)/(2*b**2) + a*log(a**2 + 2*a*b*x + b**2*x**2 + 1)/(2*b**2) + x**2*atan(a + b*x)/2 - x/(2*b) + atan(a + b*x)/(2*b**2), Ne(b, 0)), (x**2*atan(a)/2, True))","A",0
47,1,46,0,0.393190," ","integrate(atan(b*x+a),x)","\begin{cases} \frac{a \operatorname{atan}{\left(a + b x \right)}}{b} + x \operatorname{atan}{\left(a + b x \right)} - \frac{\log{\left(a^{2} + 2 a b x + b^{2} x^{2} + 1 \right)}}{2 b} & \text{for}\: b \neq 0 \\x \operatorname{atan}{\left(a \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*atan(a + b*x)/b + x*atan(a + b*x) - log(a**2 + 2*a*b*x + b**2*x**2 + 1)/(2*b), Ne(b, 0)), (x*atan(a), True))","A",0
48,-1,0,0,0.000000," ","integrate(atan(b*x+a)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
49,1,168,0,1.886379," ","integrate(atan(b*x+a)/x**2,x)","\begin{cases} - \frac{i b \operatorname{atan}{\left(b x - i \right)}}{2} - \frac{\operatorname{atan}{\left(b x - i \right)}}{x} - \frac{i}{2 x} & \text{for}\: a = - i \\\frac{i b \operatorname{atan}{\left(b x + i \right)}}{2} - \frac{\operatorname{atan}{\left(b x + i \right)}}{x} + \frac{i}{2 x} & \text{for}\: a = i \\- \frac{2 a^{2} \operatorname{atan}{\left(a + b x \right)}}{2 a^{2} x + 2 x} - \frac{2 a b x \operatorname{atan}{\left(a + b x \right)}}{2 a^{2} x + 2 x} + \frac{2 b x \log{\left(x \right)}}{2 a^{2} x + 2 x} - \frac{b x \log{\left(a^{2} + 2 a b x + b^{2} x^{2} + 1 \right)}}{2 a^{2} x + 2 x} - \frac{2 \operatorname{atan}{\left(a + b x \right)}}{2 a^{2} x + 2 x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*b*atan(b*x - I)/2 - atan(b*x - I)/x - I/(2*x), Eq(a, -I)), (I*b*atan(b*x + I)/2 - atan(b*x + I)/x + I/(2*x), Eq(a, I)), (-2*a**2*atan(a + b*x)/(2*a**2*x + 2*x) - 2*a*b*x*atan(a + b*x)/(2*a**2*x + 2*x) + 2*b*x*log(x)/(2*a**2*x + 2*x) - b*x*log(a**2 + 2*a*b*x + b**2*x**2 + 1)/(2*a**2*x + 2*x) - 2*atan(a + b*x)/(2*a**2*x + 2*x), True))","B",0
50,1,382,0,2.919548," ","integrate(atan(b*x+a)/x**3,x)","\begin{cases} - \frac{b^{2} \operatorname{atan}{\left(b x - i \right)}}{8} - \frac{b}{8 x} - \frac{\operatorname{atan}{\left(b x - i \right)}}{2 x^{2}} - \frac{i}{8 x^{2}} & \text{for}\: a = - i \\- \frac{b^{2} \operatorname{atan}{\left(b x + i \right)}}{8} - \frac{b}{8 x} - \frac{\operatorname{atan}{\left(b x + i \right)}}{2 x^{2}} + \frac{i}{8 x^{2}} & \text{for}\: a = i \\- \frac{a^{4} \operatorname{atan}{\left(a + b x \right)}}{2 a^{4} x^{2} + 4 a^{2} x^{2} + 2 x^{2}} + \frac{a^{2} b^{2} x^{2} \operatorname{atan}{\left(a + b x \right)}}{2 a^{4} x^{2} + 4 a^{2} x^{2} + 2 x^{2}} - \frac{a^{2} b x}{2 a^{4} x^{2} + 4 a^{2} x^{2} + 2 x^{2}} - \frac{2 a^{2} \operatorname{atan}{\left(a + b x \right)}}{2 a^{4} x^{2} + 4 a^{2} x^{2} + 2 x^{2}} - \frac{2 a b^{2} x^{2} \log{\left(x \right)}}{2 a^{4} x^{2} + 4 a^{2} x^{2} + 2 x^{2}} + \frac{a b^{2} x^{2} \log{\left(a^{2} + 2 a b x + b^{2} x^{2} + 1 \right)}}{2 a^{4} x^{2} + 4 a^{2} x^{2} + 2 x^{2}} - \frac{b^{2} x^{2} \operatorname{atan}{\left(a + b x \right)}}{2 a^{4} x^{2} + 4 a^{2} x^{2} + 2 x^{2}} - \frac{b x}{2 a^{4} x^{2} + 4 a^{2} x^{2} + 2 x^{2}} - \frac{\operatorname{atan}{\left(a + b x \right)}}{2 a^{4} x^{2} + 4 a^{2} x^{2} + 2 x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-b**2*atan(b*x - I)/8 - b/(8*x) - atan(b*x - I)/(2*x**2) - I/(8*x**2), Eq(a, -I)), (-b**2*atan(b*x + I)/8 - b/(8*x) - atan(b*x + I)/(2*x**2) + I/(8*x**2), Eq(a, I)), (-a**4*atan(a + b*x)/(2*a**4*x**2 + 4*a**2*x**2 + 2*x**2) + a**2*b**2*x**2*atan(a + b*x)/(2*a**4*x**2 + 4*a**2*x**2 + 2*x**2) - a**2*b*x/(2*a**4*x**2 + 4*a**2*x**2 + 2*x**2) - 2*a**2*atan(a + b*x)/(2*a**4*x**2 + 4*a**2*x**2 + 2*x**2) - 2*a*b**2*x**2*log(x)/(2*a**4*x**2 + 4*a**2*x**2 + 2*x**2) + a*b**2*x**2*log(a**2 + 2*a*b*x + b**2*x**2 + 1)/(2*a**4*x**2 + 4*a**2*x**2 + 2*x**2) - b**2*x**2*atan(a + b*x)/(2*a**4*x**2 + 4*a**2*x**2 + 2*x**2) - b*x/(2*a**4*x**2 + 4*a**2*x**2 + 2*x**2) - atan(a + b*x)/(2*a**4*x**2 + 4*a**2*x**2 + 2*x**2), True))","B",0
51,1,760,0,4.656225," ","integrate(atan(b*x+a)/x**4,x)","\begin{cases} \frac{i b^{3} \operatorname{atan}{\left(b x - i \right)}}{24} + \frac{i b^{2}}{24 x} - \frac{b}{24 x^{2}} - \frac{\operatorname{atan}{\left(b x - i \right)}}{3 x^{3}} - \frac{i}{18 x^{3}} & \text{for}\: a = - i \\- \frac{i b^{3} \operatorname{atan}{\left(b x + i \right)}}{24} - \frac{i b^{2}}{24 x} - \frac{b}{24 x^{2}} - \frac{\operatorname{atan}{\left(b x + i \right)}}{3 x^{3}} + \frac{i}{18 x^{3}} & \text{for}\: a = i \\- \frac{2 a^{6} \operatorname{atan}{\left(a + b x \right)}}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} - \frac{a^{4} b x}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} - \frac{6 a^{4} \operatorname{atan}{\left(a + b x \right)}}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} - \frac{2 a^{3} b^{3} x^{3} \operatorname{atan}{\left(a + b x \right)}}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} + \frac{4 a^{3} b^{2} x^{2}}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} + \frac{6 a^{2} b^{3} x^{3} \log{\left(x \right)}}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} - \frac{3 a^{2} b^{3} x^{3} \log{\left(a^{2} + 2 a b x + b^{2} x^{2} + 1 \right)}}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} - \frac{2 a^{2} b x}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} - \frac{6 a^{2} \operatorname{atan}{\left(a + b x \right)}}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} + \frac{6 a b^{3} x^{3} \operatorname{atan}{\left(a + b x \right)}}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} + \frac{4 a b^{2} x^{2}}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} - \frac{2 b^{3} x^{3} \log{\left(x \right)}}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} + \frac{b^{3} x^{3} \log{\left(a^{2} + 2 a b x + b^{2} x^{2} + 1 \right)}}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} - \frac{b x}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} - \frac{2 \operatorname{atan}{\left(a + b x \right)}}{6 a^{6} x^{3} + 18 a^{4} x^{3} + 18 a^{2} x^{3} + 6 x^{3}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*b**3*atan(b*x - I)/24 + I*b**2/(24*x) - b/(24*x**2) - atan(b*x - I)/(3*x**3) - I/(18*x**3), Eq(a, -I)), (-I*b**3*atan(b*x + I)/24 - I*b**2/(24*x) - b/(24*x**2) - atan(b*x + I)/(3*x**3) + I/(18*x**3), Eq(a, I)), (-2*a**6*atan(a + b*x)/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3) - a**4*b*x/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3) - 6*a**4*atan(a + b*x)/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3) - 2*a**3*b**3*x**3*atan(a + b*x)/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3) + 4*a**3*b**2*x**2/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3) + 6*a**2*b**3*x**3*log(x)/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3) - 3*a**2*b**3*x**3*log(a**2 + 2*a*b*x + b**2*x**2 + 1)/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3) - 2*a**2*b*x/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3) - 6*a**2*atan(a + b*x)/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3) + 6*a*b**3*x**3*atan(a + b*x)/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3) + 4*a*b**2*x**2/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3) - 2*b**3*x**3*log(x)/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3) + b**3*x**3*log(a**2 + 2*a*b*x + b**2*x**2 + 1)/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3) - b*x/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3) - 2*atan(a + b*x)/(6*a**6*x**3 + 18*a**4*x**3 + 18*a**2*x**3 + 6*x**3), True))","B",0
52,-1,0,0,0.000000," ","integrate(atan(b*x+a)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
53,-1,0,0,0.000000," ","integrate(atan(b*x+a)/(d*x**2+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
54,0,0,0,0.000000," ","integrate(atan(b*x+a)/(d*x+c),x)","\int \frac{\operatorname{atan}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(atan(a + b*x)/(c + d*x), x)","F",0
55,-1,0,0,0.000000," ","integrate(atan(b*x+a)/(c+d/x),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
56,-1,0,0,0.000000," ","integrate(atan(b*x+a)/(c+d/x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
57,-1,0,0,0.000000," ","integrate(atan(b*x+a)/(c+d/x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
58,-1,0,0,0.000000," ","integrate(atan(b*x+a)/(c+d*x**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
59,-1,0,0,0.000000," ","integrate(atan(b*x+a)/(c+d/x**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
60,0,0,0,0.000000," ","integrate(atan(b*x+a)/(x**2+1),x)","\int \frac{\operatorname{atan}{\left(a + b x \right)}}{x^{2} + 1}\, dx"," ",0,"Integral(atan(a + b*x)/(x**2 + 1), x)","F",0
61,-1,0,0,0.000000," ","integrate(atan(e*x+d)/(b*x**2+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
62,-1,0,0,0.000000," ","integrate(atan(e*x+d)/(c*x**2+b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
63,0,0,0,0.000000," ","integrate(atan(b*x+a)/(b**2*x**2+2*a*b*x+a**2+1)**(1/2),x)","\int \frac{\operatorname{atan}{\left(a + b x \right)}}{\sqrt{a^{2} + 2 a b x + b^{2} x^{2} + 1}}\, dx"," ",0,"Integral(atan(a + b*x)/sqrt(a**2 + 2*a*b*x + b**2*x**2 + 1), x)","F",0
64,0,0,0,0.000000," ","integrate(atan(b*x+a)/((a**2+1)*c+2*a*b*c*x+c*x**2*b**2)**(1/2),x)","\int \frac{\operatorname{atan}{\left(a + b x \right)}}{\sqrt{c \left(a^{2} + 2 a b x + b^{2} x^{2} + 1\right)}}\, dx"," ",0,"Integral(atan(a + b*x)/sqrt(c*(a**2 + 2*a*b*x + b**2*x**2 + 1)), x)","F",0
65,0,0,0,0.000000," ","integrate(atan(b*x+a)/(b**2*x**2+2*a*b*x+a**2+1)**(1/3),x)","\int \frac{\operatorname{atan}{\left(a + b x \right)}}{\sqrt[3]{a^{2} + 2 a b x + b^{2} x^{2} + 1}}\, dx"," ",0,"Integral(atan(a + b*x)/(a**2 + 2*a*b*x + b**2*x**2 + 1)**(1/3), x)","F",0
66,0,0,0,0.000000," ","integrate(atan(b*x+a)/((a**2+1)*c+2*a*b*c*x+c*x**2*b**2)**(1/3),x)","\int \frac{\operatorname{atan}{\left(a + b x \right)}}{\sqrt[3]{c \left(a^{2} + 2 a b x + b^{2} x^{2} + 1\right)}}\, dx"," ",0,"Integral(atan(a + b*x)/(c*(a**2 + 2*a*b*x + b**2*x**2 + 1))**(1/3), x)","F",0
67,0,0,0,0.000000," ","integrate((b*x+a)**2*atan(b*x+a)/(b**2*x**2+2*a*b*x+a**2+1)**(1/2),x)","\int \frac{\left(a + b x\right)^{2} \operatorname{atan}{\left(a + b x \right)}}{\sqrt{a^{2} + 2 a b x + b^{2} x^{2} + 1}}\, dx"," ",0,"Integral((a + b*x)**2*atan(a + b*x)/sqrt(a**2 + 2*a*b*x + b**2*x**2 + 1), x)","F",0
68,0,0,0,0.000000," ","integrate((b*x+a)**2*atan(b*x+a)/((a**2+1)*c+2*a*b*c*x+c*x**2*b**2)**(1/2),x)","\int \frac{\left(a + b x\right)^{2} \operatorname{atan}{\left(a + b x \right)}}{\sqrt{c \left(a^{2} + 2 a b x + b^{2} x^{2} + 1\right)}}\, dx"," ",0,"Integral((a + b*x)**2*atan(a + b*x)/sqrt(c*(a**2 + 2*a*b*x + b**2*x**2 + 1)), x)","F",0
69,0,0,0,0.000000," ","integrate((b*x+a)**2*atan(b*x+a)/(b**2*x**2+2*a*b*x+a**2+1)**(1/3),x)","\int \frac{\left(a + b x\right)^{2} \operatorname{atan}{\left(a + b x \right)}}{\sqrt[3]{a^{2} + 2 a b x + b^{2} x^{2} + 1}}\, dx"," ",0,"Integral((a + b*x)**2*atan(a + b*x)/(a**2 + 2*a*b*x + b**2*x**2 + 1)**(1/3), x)","F",0
70,-1,0,0,0.000000," ","integrate((b*x+a)**2*atan(b*x+a)/((a**2+1)*c+2*a*b*c*x+c*x**2*b**2)**(1/3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
