1,0,0,0,0.000000," ","integrate(x**3*(a+b*tan(d*x**2+c)),x)","\int x^{3} \left(a + b \tan{\left(c + d x^{2} \right)}\right)\, dx"," ",0,"Integral(x**3*(a + b*tan(c + d*x**2)), x)","F",0
2,0,0,0,0.000000," ","integrate(x**2*(a+b*tan(d*x**2+c)),x)","\int x^{2} \left(a + b \tan{\left(c + d x^{2} \right)}\right)\, dx"," ",0,"Integral(x**2*(a + b*tan(c + d*x**2)), x)","F",0
3,1,36,0,0.158915," ","integrate(x*(a+b*tan(d*x**2+c)),x)","\begin{cases} \frac{a x^{2}}{2} + \frac{b \log{\left(\tan^{2}{\left(c + d x^{2} \right)} + 1 \right)}}{4 d} & \text{for}\: d \neq 0 \\\frac{x^{2} \left(a + b \tan{\left(c \right)}\right)}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*x**2/2 + b*log(tan(c + d*x**2)**2 + 1)/(4*d), Ne(d, 0)), (x**2*(a + b*tan(c))/2, True))","A",0
4,0,0,0,0.000000," ","integrate(a+b*tan(d*x**2+c),x)","\int \left(a + b \tan{\left(c + d x^{2} \right)}\right)\, dx"," ",0,"Integral(a + b*tan(c + d*x**2), x)","F",0
5,0,0,0,0.000000," ","integrate((a+b*tan(d*x**2+c))/x,x)","\int \frac{a + b \tan{\left(c + d x^{2} \right)}}{x}\, dx"," ",0,"Integral((a + b*tan(c + d*x**2))/x, x)","F",0
6,0,0,0,0.000000," ","integrate((a+b*tan(d*x**2+c))/x**2,x)","\int \frac{a + b \tan{\left(c + d x^{2} \right)}}{x^{2}}\, dx"," ",0,"Integral((a + b*tan(c + d*x**2))/x**2, x)","F",0
7,0,0,0,0.000000," ","integrate(x**3*(a+b*tan(d*x**2+c))**2,x)","\int x^{3} \left(a + b \tan{\left(c + d x^{2} \right)}\right)^{2}\, dx"," ",0,"Integral(x**3*(a + b*tan(c + d*x**2))**2, x)","F",0
8,0,0,0,0.000000," ","integrate(x**2*(a+b*tan(d*x**2+c))**2,x)","\int x^{2} \left(a + b \tan{\left(c + d x^{2} \right)}\right)^{2}\, dx"," ",0,"Integral(x**2*(a + b*tan(c + d*x**2))**2, x)","F",0
9,1,65,0,0.212006," ","integrate(x*(a+b*tan(d*x**2+c))**2,x)","\begin{cases} \frac{a^{2} x^{2}}{2} + \frac{a b \log{\left(\tan^{2}{\left(c + d x^{2} \right)} + 1 \right)}}{2 d} - \frac{b^{2} x^{2}}{2} + \frac{b^{2} \tan{\left(c + d x^{2} \right)}}{2 d} & \text{for}\: d \neq 0 \\\frac{x^{2} \left(a + b \tan{\left(c \right)}\right)^{2}}{2} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a**2*x**2/2 + a*b*log(tan(c + d*x**2)**2 + 1)/(2*d) - b**2*x**2/2 + b**2*tan(c + d*x**2)/(2*d), Ne(d, 0)), (x**2*(a + b*tan(c))**2/2, True))","A",0
10,0,0,0,0.000000," ","integrate((a+b*tan(d*x**2+c))**2,x)","\int \left(a + b \tan{\left(c + d x^{2} \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*tan(c + d*x**2))**2, x)","F",0
11,0,0,0,0.000000," ","integrate((a+b*tan(d*x**2+c))**2/x,x)","\int \frac{\left(a + b \tan{\left(c + d x^{2} \right)}\right)^{2}}{x}\, dx"," ",0,"Integral((a + b*tan(c + d*x**2))**2/x, x)","F",0
12,0,0,0,0.000000," ","integrate((a+b*tan(d*x**2+c))**2/x**2,x)","\int \frac{\left(a + b \tan{\left(c + d x^{2} \right)}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral((a + b*tan(c + d*x**2))**2/x**2, x)","F",0
13,0,0,0,0.000000," ","integrate(x**3/(a+b*tan(d*x**2+c)),x)","\int \frac{x^{3}}{a + b \tan{\left(c + d x^{2} \right)}}\, dx"," ",0,"Integral(x**3/(a + b*tan(c + d*x**2)), x)","F",0
14,0,0,0,0.000000," ","integrate(x**2/(a+b*tan(d*x**2+c)),x)","\int \frac{x^{2}}{a + b \tan{\left(c + d x^{2} \right)}}\, dx"," ",0,"Integral(x**2/(a + b*tan(c + d*x**2)), x)","F",0
15,1,364,0,0.824749," ","integrate(x/(a+b*tan(d*x**2+c)),x)","\begin{cases} \frac{\tilde{\infty} x^{2}}{\tan{\left(c \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\\frac{x^{2}}{2 a} & \text{for}\: b = 0 \\\frac{\left(\operatorname{atan}{\left(\tan{\left(c + d x^{2} \right)} \right)} + \pi \left\lfloor{\frac{c + d x^{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right) \tan{\left(c + d x^{2} \right)}}{- 4 i b d \tan{\left(c + d x^{2} \right)} - 4 b d} - \frac{i \left(\operatorname{atan}{\left(\tan{\left(c + d x^{2} \right)} \right)} + \pi \left\lfloor{\frac{c + d x^{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{- 4 i b d \tan{\left(c + d x^{2} \right)} - 4 b d} + \frac{1}{- 4 i b d \tan{\left(c + d x^{2} \right)} - 4 b d} & \text{for}\: a = - i b \\\frac{\left(\operatorname{atan}{\left(\tan{\left(c + d x^{2} \right)} \right)} + \pi \left\lfloor{\frac{c + d x^{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right) \tan{\left(c + d x^{2} \right)}}{4 i b d \tan{\left(c + d x^{2} \right)} - 4 b d} + \frac{i \left(\operatorname{atan}{\left(\tan{\left(c + d x^{2} \right)} \right)} + \pi \left\lfloor{\frac{c + d x^{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right)}{4 i b d \tan{\left(c + d x^{2} \right)} - 4 b d} + \frac{1}{4 i b d \tan{\left(c + d x^{2} \right)} - 4 b d} & \text{for}\: a = i b \\\frac{x^{2}}{2 \left(a + b \tan{\left(c \right)}\right)} & \text{for}\: d = 0 \\\frac{2 a d x^{2}}{4 a^{2} d + 4 b^{2} d} + \frac{2 b \log{\left(\frac{a}{b} + \tan{\left(c + d x^{2} \right)} \right)}}{4 a^{2} d + 4 b^{2} d} - \frac{b \log{\left(\tan^{2}{\left(c + d x^{2} \right)} + 1 \right)}}{4 a^{2} d + 4 b^{2} d} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x**2/tan(c), Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), (x**2/(2*a), Eq(b, 0)), ((atan(tan(c + d*x**2)) + pi*floor((c + d*x**2 - pi/2)/pi))*tan(c + d*x**2)/(-4*I*b*d*tan(c + d*x**2) - 4*b*d) - I*(atan(tan(c + d*x**2)) + pi*floor((c + d*x**2 - pi/2)/pi))/(-4*I*b*d*tan(c + d*x**2) - 4*b*d) + 1/(-4*I*b*d*tan(c + d*x**2) - 4*b*d), Eq(a, -I*b)), ((atan(tan(c + d*x**2)) + pi*floor((c + d*x**2 - pi/2)/pi))*tan(c + d*x**2)/(4*I*b*d*tan(c + d*x**2) - 4*b*d) + I*(atan(tan(c + d*x**2)) + pi*floor((c + d*x**2 - pi/2)/pi))/(4*I*b*d*tan(c + d*x**2) - 4*b*d) + 1/(4*I*b*d*tan(c + d*x**2) - 4*b*d), Eq(a, I*b)), (x**2/(2*(a + b*tan(c))), Eq(d, 0)), (2*a*d*x**2/(4*a**2*d + 4*b**2*d) + 2*b*log(a/b + tan(c + d*x**2))/(4*a**2*d + 4*b**2*d) - b*log(tan(c + d*x**2)**2 + 1)/(4*a**2*d + 4*b**2*d), True))","A",0
16,0,0,0,0.000000," ","integrate(1/(a+b*tan(d*x**2+c)),x)","\int \frac{1}{a + b \tan{\left(c + d x^{2} \right)}}\, dx"," ",0,"Integral(1/(a + b*tan(c + d*x**2)), x)","F",0
17,0,0,0,0.000000," ","integrate(1/x/(a+b*tan(d*x**2+c)),x)","\int \frac{1}{x \left(a + b \tan{\left(c + d x^{2} \right)}\right)}\, dx"," ",0,"Integral(1/(x*(a + b*tan(c + d*x**2))), x)","F",0
18,0,0,0,0.000000," ","integrate(1/x**2/(a+b*tan(d*x**2+c)),x)","\int \frac{1}{x^{2} \left(a + b \tan{\left(c + d x^{2} \right)}\right)}\, dx"," ",0,"Integral(1/(x**2*(a + b*tan(c + d*x**2))), x)","F",0
19,0,0,0,0.000000," ","integrate(x**3/(a+b*tan(d*x**2+c))**2,x)","\int \frac{x^{3}}{\left(a + b \tan{\left(c + d x^{2} \right)}\right)^{2}}\, dx"," ",0,"Integral(x**3/(a + b*tan(c + d*x**2))**2, x)","F",0
20,0,0,0,0.000000," ","integrate(x**2/(a+b*tan(d*x**2+c))**2,x)","\int \frac{x^{2}}{\left(a + b \tan{\left(c + d x^{2} \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2/(a + b*tan(c + d*x**2))**2, x)","F",0
21,1,1584,0,1.560395," ","integrate(x/(a+b*tan(d*x**2+c))**2,x)","\begin{cases} \frac{\tilde{\infty} x^{2}}{\tan^{2}{\left(c \right)}} & \text{for}\: a = 0 \wedge b = 0 \wedge d = 0 \\- \frac{\left(\operatorname{atan}{\left(\tan{\left(c + d x^{2} \right)} \right)} + \pi \left\lfloor{\frac{c + d x^{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right) \tan^{2}{\left(c + d x^{2} \right)}}{8 b^{2} d \tan^{2}{\left(c + d x^{2} \right)} - 16 i b^{2} d \tan{\left(c + d x^{2} \right)} - 8 b^{2} d} + \frac{2 i \left(\operatorname{atan}{\left(\tan{\left(c + d x^{2} \right)} \right)} + \pi \left\lfloor{\frac{c + d x^{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right) \tan{\left(c + d x^{2} \right)}}{8 b^{2} d \tan^{2}{\left(c + d x^{2} \right)} - 16 i b^{2} d \tan{\left(c + d x^{2} \right)} - 8 b^{2} d} + \frac{\operatorname{atan}{\left(\tan{\left(c + d x^{2} \right)} \right)} + \pi \left\lfloor{\frac{c + d x^{2} - \frac{\pi}{2}}{\pi}}\right\rfloor}{8 b^{2} d \tan^{2}{\left(c + d x^{2} \right)} - 16 i b^{2} d \tan{\left(c + d x^{2} \right)} - 8 b^{2} d} - \frac{\tan{\left(c + d x^{2} \right)}}{8 b^{2} d \tan^{2}{\left(c + d x^{2} \right)} - 16 i b^{2} d \tan{\left(c + d x^{2} \right)} - 8 b^{2} d} + \frac{2 i}{8 b^{2} d \tan^{2}{\left(c + d x^{2} \right)} - 16 i b^{2} d \tan{\left(c + d x^{2} \right)} - 8 b^{2} d} & \text{for}\: a = - i b \\- \frac{\left(\operatorname{atan}{\left(\tan{\left(c + d x^{2} \right)} \right)} + \pi \left\lfloor{\frac{c + d x^{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right) \tan^{2}{\left(c + d x^{2} \right)}}{8 b^{2} d \tan^{2}{\left(c + d x^{2} \right)} + 16 i b^{2} d \tan{\left(c + d x^{2} \right)} - 8 b^{2} d} - \frac{2 i \left(\operatorname{atan}{\left(\tan{\left(c + d x^{2} \right)} \right)} + \pi \left\lfloor{\frac{c + d x^{2} - \frac{\pi}{2}}{\pi}}\right\rfloor\right) \tan{\left(c + d x^{2} \right)}}{8 b^{2} d \tan^{2}{\left(c + d x^{2} \right)} + 16 i b^{2} d \tan{\left(c + d x^{2} \right)} - 8 b^{2} d} + \frac{\operatorname{atan}{\left(\tan{\left(c + d x^{2} \right)} \right)} + \pi \left\lfloor{\frac{c + d x^{2} - \frac{\pi}{2}}{\pi}}\right\rfloor}{8 b^{2} d \tan^{2}{\left(c + d x^{2} \right)} + 16 i b^{2} d \tan{\left(c + d x^{2} \right)} - 8 b^{2} d} - \frac{\tan{\left(c + d x^{2} \right)}}{8 b^{2} d \tan^{2}{\left(c + d x^{2} \right)} + 16 i b^{2} d \tan{\left(c + d x^{2} \right)} - 8 b^{2} d} - \frac{2 i}{8 b^{2} d \tan^{2}{\left(c + d x^{2} \right)} + 16 i b^{2} d \tan{\left(c + d x^{2} \right)} - 8 b^{2} d} & \text{for}\: a = i b \\\frac{x^{2}}{2 \left(a + b \tan{\left(c \right)}\right)^{2}} & \text{for}\: d = 0 \\\frac{x^{2}}{2 a^{2}} & \text{for}\: b = 0 \\\frac{a^{3} d x^{2}}{2 a^{5} d + 2 a^{4} b d \tan{\left(c + d x^{2} \right)} + 4 a^{3} b^{2} d + 4 a^{2} b^{3} d \tan{\left(c + d x^{2} \right)} + 2 a b^{4} d + 2 b^{5} d \tan{\left(c + d x^{2} \right)}} + \frac{a^{2} b d x^{2} \tan{\left(c + d x^{2} \right)}}{2 a^{5} d + 2 a^{4} b d \tan{\left(c + d x^{2} \right)} + 4 a^{3} b^{2} d + 4 a^{2} b^{3} d \tan{\left(c + d x^{2} \right)} + 2 a b^{4} d + 2 b^{5} d \tan{\left(c + d x^{2} \right)}} + \frac{2 a^{2} b \log{\left(\frac{a}{b} + \tan{\left(c + d x^{2} \right)} \right)}}{2 a^{5} d + 2 a^{4} b d \tan{\left(c + d x^{2} \right)} + 4 a^{3} b^{2} d + 4 a^{2} b^{3} d \tan{\left(c + d x^{2} \right)} + 2 a b^{4} d + 2 b^{5} d \tan{\left(c + d x^{2} \right)}} - \frac{a^{2} b \log{\left(\tan^{2}{\left(c + d x^{2} \right)} + 1 \right)}}{2 a^{5} d + 2 a^{4} b d \tan{\left(c + d x^{2} \right)} + 4 a^{3} b^{2} d + 4 a^{2} b^{3} d \tan{\left(c + d x^{2} \right)} + 2 a b^{4} d + 2 b^{5} d \tan{\left(c + d x^{2} \right)}} - \frac{a^{2} b}{2 a^{5} d + 2 a^{4} b d \tan{\left(c + d x^{2} \right)} + 4 a^{3} b^{2} d + 4 a^{2} b^{3} d \tan{\left(c + d x^{2} \right)} + 2 a b^{4} d + 2 b^{5} d \tan{\left(c + d x^{2} \right)}} - \frac{a b^{2} d x^{2}}{2 a^{5} d + 2 a^{4} b d \tan{\left(c + d x^{2} \right)} + 4 a^{3} b^{2} d + 4 a^{2} b^{3} d \tan{\left(c + d x^{2} \right)} + 2 a b^{4} d + 2 b^{5} d \tan{\left(c + d x^{2} \right)}} + \frac{2 a b^{2} \log{\left(\frac{a}{b} + \tan{\left(c + d x^{2} \right)} \right)} \tan{\left(c + d x^{2} \right)}}{2 a^{5} d + 2 a^{4} b d \tan{\left(c + d x^{2} \right)} + 4 a^{3} b^{2} d + 4 a^{2} b^{3} d \tan{\left(c + d x^{2} \right)} + 2 a b^{4} d + 2 b^{5} d \tan{\left(c + d x^{2} \right)}} - \frac{a b^{2} \log{\left(\tan^{2}{\left(c + d x^{2} \right)} + 1 \right)} \tan{\left(c + d x^{2} \right)}}{2 a^{5} d + 2 a^{4} b d \tan{\left(c + d x^{2} \right)} + 4 a^{3} b^{2} d + 4 a^{2} b^{3} d \tan{\left(c + d x^{2} \right)} + 2 a b^{4} d + 2 b^{5} d \tan{\left(c + d x^{2} \right)}} - \frac{b^{3} d x^{2} \tan{\left(c + d x^{2} \right)}}{2 a^{5} d + 2 a^{4} b d \tan{\left(c + d x^{2} \right)} + 4 a^{3} b^{2} d + 4 a^{2} b^{3} d \tan{\left(c + d x^{2} \right)} + 2 a b^{4} d + 2 b^{5} d \tan{\left(c + d x^{2} \right)}} - \frac{b^{3}}{2 a^{5} d + 2 a^{4} b d \tan{\left(c + d x^{2} \right)} + 4 a^{3} b^{2} d + 4 a^{2} b^{3} d \tan{\left(c + d x^{2} \right)} + 2 a b^{4} d + 2 b^{5} d \tan{\left(c + d x^{2} \right)}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((zoo*x**2/tan(c)**2, Eq(a, 0) & Eq(b, 0) & Eq(d, 0)), (-(atan(tan(c + d*x**2)) + pi*floor((c + d*x**2 - pi/2)/pi))*tan(c + d*x**2)**2/(8*b**2*d*tan(c + d*x**2)**2 - 16*I*b**2*d*tan(c + d*x**2) - 8*b**2*d) + 2*I*(atan(tan(c + d*x**2)) + pi*floor((c + d*x**2 - pi/2)/pi))*tan(c + d*x**2)/(8*b**2*d*tan(c + d*x**2)**2 - 16*I*b**2*d*tan(c + d*x**2) - 8*b**2*d) + (atan(tan(c + d*x**2)) + pi*floor((c + d*x**2 - pi/2)/pi))/(8*b**2*d*tan(c + d*x**2)**2 - 16*I*b**2*d*tan(c + d*x**2) - 8*b**2*d) - tan(c + d*x**2)/(8*b**2*d*tan(c + d*x**2)**2 - 16*I*b**2*d*tan(c + d*x**2) - 8*b**2*d) + 2*I/(8*b**2*d*tan(c + d*x**2)**2 - 16*I*b**2*d*tan(c + d*x**2) - 8*b**2*d), Eq(a, -I*b)), (-(atan(tan(c + d*x**2)) + pi*floor((c + d*x**2 - pi/2)/pi))*tan(c + d*x**2)**2/(8*b**2*d*tan(c + d*x**2)**2 + 16*I*b**2*d*tan(c + d*x**2) - 8*b**2*d) - 2*I*(atan(tan(c + d*x**2)) + pi*floor((c + d*x**2 - pi/2)/pi))*tan(c + d*x**2)/(8*b**2*d*tan(c + d*x**2)**2 + 16*I*b**2*d*tan(c + d*x**2) - 8*b**2*d) + (atan(tan(c + d*x**2)) + pi*floor((c + d*x**2 - pi/2)/pi))/(8*b**2*d*tan(c + d*x**2)**2 + 16*I*b**2*d*tan(c + d*x**2) - 8*b**2*d) - tan(c + d*x**2)/(8*b**2*d*tan(c + d*x**2)**2 + 16*I*b**2*d*tan(c + d*x**2) - 8*b**2*d) - 2*I/(8*b**2*d*tan(c + d*x**2)**2 + 16*I*b**2*d*tan(c + d*x**2) - 8*b**2*d), Eq(a, I*b)), (x**2/(2*(a + b*tan(c))**2), Eq(d, 0)), (x**2/(2*a**2), Eq(b, 0)), (a**3*d*x**2/(2*a**5*d + 2*a**4*b*d*tan(c + d*x**2) + 4*a**3*b**2*d + 4*a**2*b**3*d*tan(c + d*x**2) + 2*a*b**4*d + 2*b**5*d*tan(c + d*x**2)) + a**2*b*d*x**2*tan(c + d*x**2)/(2*a**5*d + 2*a**4*b*d*tan(c + d*x**2) + 4*a**3*b**2*d + 4*a**2*b**3*d*tan(c + d*x**2) + 2*a*b**4*d + 2*b**5*d*tan(c + d*x**2)) + 2*a**2*b*log(a/b + tan(c + d*x**2))/(2*a**5*d + 2*a**4*b*d*tan(c + d*x**2) + 4*a**3*b**2*d + 4*a**2*b**3*d*tan(c + d*x**2) + 2*a*b**4*d + 2*b**5*d*tan(c + d*x**2)) - a**2*b*log(tan(c + d*x**2)**2 + 1)/(2*a**5*d + 2*a**4*b*d*tan(c + d*x**2) + 4*a**3*b**2*d + 4*a**2*b**3*d*tan(c + d*x**2) + 2*a*b**4*d + 2*b**5*d*tan(c + d*x**2)) - a**2*b/(2*a**5*d + 2*a**4*b*d*tan(c + d*x**2) + 4*a**3*b**2*d + 4*a**2*b**3*d*tan(c + d*x**2) + 2*a*b**4*d + 2*b**5*d*tan(c + d*x**2)) - a*b**2*d*x**2/(2*a**5*d + 2*a**4*b*d*tan(c + d*x**2) + 4*a**3*b**2*d + 4*a**2*b**3*d*tan(c + d*x**2) + 2*a*b**4*d + 2*b**5*d*tan(c + d*x**2)) + 2*a*b**2*log(a/b + tan(c + d*x**2))*tan(c + d*x**2)/(2*a**5*d + 2*a**4*b*d*tan(c + d*x**2) + 4*a**3*b**2*d + 4*a**2*b**3*d*tan(c + d*x**2) + 2*a*b**4*d + 2*b**5*d*tan(c + d*x**2)) - a*b**2*log(tan(c + d*x**2)**2 + 1)*tan(c + d*x**2)/(2*a**5*d + 2*a**4*b*d*tan(c + d*x**2) + 4*a**3*b**2*d + 4*a**2*b**3*d*tan(c + d*x**2) + 2*a*b**4*d + 2*b**5*d*tan(c + d*x**2)) - b**3*d*x**2*tan(c + d*x**2)/(2*a**5*d + 2*a**4*b*d*tan(c + d*x**2) + 4*a**3*b**2*d + 4*a**2*b**3*d*tan(c + d*x**2) + 2*a*b**4*d + 2*b**5*d*tan(c + d*x**2)) - b**3/(2*a**5*d + 2*a**4*b*d*tan(c + d*x**2) + 4*a**3*b**2*d + 4*a**2*b**3*d*tan(c + d*x**2) + 2*a*b**4*d + 2*b**5*d*tan(c + d*x**2)), True))","A",0
22,0,0,0,0.000000," ","integrate(1/(a+b*tan(d*x**2+c))**2,x)","\int \frac{1}{\left(a + b \tan{\left(c + d x^{2} \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*tan(c + d*x**2))**(-2), x)","F",0
23,0,0,0,0.000000," ","integrate(1/x/(a+b*tan(d*x**2+c))**2,x)","\int \frac{1}{x \left(a + b \tan{\left(c + d x^{2} \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x*(a + b*tan(c + d*x**2))**2), x)","F",0
24,0,0,0,0.000000," ","integrate(1/x**2/(a+b*tan(d*x**2+c))**2,x)","\int \frac{1}{x^{2} \left(a + b \tan{\left(c + d x^{2} \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**2*(a + b*tan(c + d*x**2))**2), x)","F",0
25,0,0,0,0.000000," ","integrate(x**3*(a+b*tan(c+d*x**(1/2))),x)","\int x^{3} \left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)\, dx"," ",0,"Integral(x**3*(a + b*tan(c + d*sqrt(x))), x)","F",0
26,0,0,0,0.000000," ","integrate(x**2*(a+b*tan(c+d*x**(1/2))),x)","\int x^{2} \left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)\, dx"," ",0,"Integral(x**2*(a + b*tan(c + d*sqrt(x))), x)","F",0
27,0,0,0,0.000000," ","integrate(x*(a+b*tan(c+d*x**(1/2))),x)","\int x \left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)\, dx"," ",0,"Integral(x*(a + b*tan(c + d*sqrt(x))), x)","F",0
28,0,0,0,0.000000," ","integrate(a+b*tan(c+d*x**(1/2)),x)","\int \left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)\, dx"," ",0,"Integral(a + b*tan(c + d*sqrt(x)), x)","F",0
29,0,0,0,0.000000," ","integrate((a+b*tan(c+d*x**(1/2)))/x,x)","\int \frac{a + b \tan{\left(c + d \sqrt{x} \right)}}{x}\, dx"," ",0,"Integral((a + b*tan(c + d*sqrt(x)))/x, x)","F",0
30,0,0,0,0.000000," ","integrate((a+b*tan(c+d*x**(1/2)))/x**2,x)","\int \frac{a + b \tan{\left(c + d \sqrt{x} \right)}}{x^{2}}\, dx"," ",0,"Integral((a + b*tan(c + d*sqrt(x)))/x**2, x)","F",0
31,0,0,0,0.000000," ","integrate(x**2*(a+b*tan(c+d*x**(1/2)))**2,x)","\int x^{2} \left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)^{2}\, dx"," ",0,"Integral(x**2*(a + b*tan(c + d*sqrt(x)))**2, x)","F",0
32,0,0,0,0.000000," ","integrate(x*(a+b*tan(c+d*x**(1/2)))**2,x)","\int x \left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)^{2}\, dx"," ",0,"Integral(x*(a + b*tan(c + d*sqrt(x)))**2, x)","F",0
33,0,0,0,0.000000," ","integrate((a+b*tan(c+d*x**(1/2)))**2,x)","\int \left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*tan(c + d*sqrt(x)))**2, x)","F",0
34,0,0,0,0.000000," ","integrate((a+b*tan(c+d*x**(1/2)))**2/x,x)","\int \frac{\left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)^{2}}{x}\, dx"," ",0,"Integral((a + b*tan(c + d*sqrt(x)))**2/x, x)","F",0
35,0,0,0,0.000000," ","integrate((a+b*tan(c+d*x**(1/2)))**2/x**2,x)","\int \frac{\left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral((a + b*tan(c + d*sqrt(x)))**2/x**2, x)","F",0
36,0,0,0,0.000000," ","integrate(x**3/(a+b*tan(c+d*x**(1/2))),x)","\int \frac{x^{3}}{a + b \tan{\left(c + d \sqrt{x} \right)}}\, dx"," ",0,"Integral(x**3/(a + b*tan(c + d*sqrt(x))), x)","F",0
37,0,0,0,0.000000," ","integrate(x**2/(a+b*tan(c+d*x**(1/2))),x)","\int \frac{x^{2}}{a + b \tan{\left(c + d \sqrt{x} \right)}}\, dx"," ",0,"Integral(x**2/(a + b*tan(c + d*sqrt(x))), x)","F",0
38,0,0,0,0.000000," ","integrate(x/(a+b*tan(c+d*x**(1/2))),x)","\int \frac{x}{a + b \tan{\left(c + d \sqrt{x} \right)}}\, dx"," ",0,"Integral(x/(a + b*tan(c + d*sqrt(x))), x)","F",0
39,0,0,0,0.000000," ","integrate(1/(a+b*tan(c+d*x**(1/2))),x)","\int \frac{1}{a + b \tan{\left(c + d \sqrt{x} \right)}}\, dx"," ",0,"Integral(1/(a + b*tan(c + d*sqrt(x))), x)","F",0
40,0,0,0,0.000000," ","integrate(1/x/(a+b*tan(c+d*x**(1/2))),x)","\int \frac{1}{x \left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)}\, dx"," ",0,"Integral(1/(x*(a + b*tan(c + d*sqrt(x)))), x)","F",0
41,0,0,0,0.000000," ","integrate(1/x**2/(a+b*tan(c+d*x**(1/2))),x)","\int \frac{1}{x^{2} \left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)}\, dx"," ",0,"Integral(1/(x**2*(a + b*tan(c + d*sqrt(x)))), x)","F",0
42,0,0,0,0.000000," ","integrate(x**2/(a+b*tan(c+d*x**(1/2)))**2,x)","\int \frac{x^{2}}{\left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)^{2}}\, dx"," ",0,"Integral(x**2/(a + b*tan(c + d*sqrt(x)))**2, x)","F",0
43,0,0,0,0.000000," ","integrate(x/(a+b*tan(c+d*x**(1/2)))**2,x)","\int \frac{x}{\left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)^{2}}\, dx"," ",0,"Integral(x/(a + b*tan(c + d*sqrt(x)))**2, x)","F",0
44,0,0,0,0.000000," ","integrate(1/(a+b*tan(c+d*x**(1/2)))**2,x)","\int \frac{1}{\left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*tan(c + d*sqrt(x)))**(-2), x)","F",0
45,0,0,0,0.000000," ","integrate(1/x/(a+b*tan(c+d*x**(1/2)))**2,x)","\int \frac{1}{x \left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x*(a + b*tan(c + d*sqrt(x)))**2), x)","F",0
46,0,0,0,0.000000," ","integrate(1/x**2/(a+b*tan(c+d*x**(1/2)))**2,x)","\int \frac{1}{x^{2} \left(a + b \tan{\left(c + d \sqrt{x} \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**2*(a + b*tan(c + d*sqrt(x)))**2), x)","F",0
47,0,0,0,0.000000," ","integrate(x**2*(a+b*tan(c+d*x**(1/3))),x)","\int x^{2} \left(a + b \tan{\left(c + d \sqrt[3]{x} \right)}\right)\, dx"," ",0,"Integral(x**2*(a + b*tan(c + d*x**(1/3))), x)","F",0
48,0,0,0,0.000000," ","integrate(x*(a+b*tan(c+d*x**(1/3))),x)","\int x \left(a + b \tan{\left(c + d \sqrt[3]{x} \right)}\right)\, dx"," ",0,"Integral(x*(a + b*tan(c + d*x**(1/3))), x)","F",0
49,0,0,0,0.000000," ","integrate(a+b*tan(c+d*x**(1/3)),x)","\int \left(a + b \tan{\left(c + d \sqrt[3]{x} \right)}\right)\, dx"," ",0,"Integral(a + b*tan(c + d*x**(1/3)), x)","F",0
50,0,0,0,0.000000," ","integrate((a+b*tan(c+d*x**(1/3)))/x,x)","\int \frac{a + b \tan{\left(c + d \sqrt[3]{x} \right)}}{x}\, dx"," ",0,"Integral((a + b*tan(c + d*x**(1/3)))/x, x)","F",0
51,0,0,0,0.000000," ","integrate((a+b*tan(c+d*x**(1/3)))/x**2,x)","\int \frac{a + b \tan{\left(c + d \sqrt[3]{x} \right)}}{x^{2}}\, dx"," ",0,"Integral((a + b*tan(c + d*x**(1/3)))/x**2, x)","F",0
52,0,0,0,0.000000," ","integrate(x**2*(a+b*tan(c+d*x**(1/3)))**2,x)","\int x^{2} \left(a + b \tan{\left(c + d \sqrt[3]{x} \right)}\right)^{2}\, dx"," ",0,"Integral(x**2*(a + b*tan(c + d*x**(1/3)))**2, x)","F",0
53,0,0,0,0.000000," ","integrate(x*(a+b*tan(c+d*x**(1/3)))**2,x)","\int x \left(a + b \tan{\left(c + d \sqrt[3]{x} \right)}\right)^{2}\, dx"," ",0,"Integral(x*(a + b*tan(c + d*x**(1/3)))**2, x)","F",0
54,0,0,0,0.000000," ","integrate((a+b*tan(c+d*x**(1/3)))**2,x)","\int \left(a + b \tan{\left(c + d \sqrt[3]{x} \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*tan(c + d*x**(1/3)))**2, x)","F",0
55,0,0,0,0.000000," ","integrate((a+b*tan(c+d*x**(1/3)))**2/x,x)","\int \frac{\left(a + b \tan{\left(c + d \sqrt[3]{x} \right)}\right)^{2}}{x}\, dx"," ",0,"Integral((a + b*tan(c + d*x**(1/3)))**2/x, x)","F",0
56,0,0,0,0.000000," ","integrate((a+b*tan(c+d*x**(1/3)))**2/x**2,x)","\int \frac{\left(a + b \tan{\left(c + d \sqrt[3]{x} \right)}\right)^{2}}{x^{2}}\, dx"," ",0,"Integral((a + b*tan(c + d*x**(1/3)))**2/x**2, x)","F",0
57,0,0,0,0.000000," ","integrate(x**2/(a+b*tan(c+d*x**(1/3))),x)","\int \frac{x^{2}}{a + b \tan{\left(c + d \sqrt[3]{x} \right)}}\, dx"," ",0,"Integral(x**2/(a + b*tan(c + d*x**(1/3))), x)","F",0
58,0,0,0,0.000000," ","integrate(x/(a+b*tan(c+d*x**(1/3))),x)","\int \frac{x}{a + b \tan{\left(c + d \sqrt[3]{x} \right)}}\, dx"," ",0,"Integral(x/(a + b*tan(c + d*x**(1/3))), x)","F",0
59,0,0,0,0.000000," ","integrate(1/(a+b*tan(c+d*x**(1/3))),x)","\int \frac{1}{a + b \tan{\left(c + d \sqrt[3]{x} \right)}}\, dx"," ",0,"Integral(1/(a + b*tan(c + d*x**(1/3))), x)","F",0
60,0,0,0,0.000000," ","integrate(1/x/(a+b*tan(c+d*x**(1/3))),x)","\int \frac{1}{x \left(a + b \tan{\left(c + d \sqrt[3]{x} \right)}\right)}\, dx"," ",0,"Integral(1/(x*(a + b*tan(c + d*x**(1/3)))), x)","F",0
61,0,0,0,0.000000," ","integrate(1/x**2/(a+b*tan(c+d*x**(1/3))),x)","\int \frac{1}{x^{2} \left(a + b \tan{\left(c + d \sqrt[3]{x} \right)}\right)}\, dx"," ",0,"Integral(1/(x**2*(a + b*tan(c + d*x**(1/3)))), x)","F",0
62,-2,0,0,0.000000," ","integrate(x**2/(a+b*tan(c+d*x**(1/3)))**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
63,0,0,0,0.000000," ","integrate(x/(a+b*tan(c+d*x**(1/3)))**2,x)","\int \frac{x}{\left(a + b \tan{\left(c + d \sqrt[3]{x} \right)}\right)^{2}}\, dx"," ",0,"Integral(x/(a + b*tan(c + d*x**(1/3)))**2, x)","F",0
64,0,0,0,0.000000," ","integrate(1/(a+b*tan(c+d*x**(1/3)))**2,x)","\int \frac{1}{\left(a + b \tan{\left(c + d \sqrt[3]{x} \right)}\right)^{2}}\, dx"," ",0,"Integral((a + b*tan(c + d*x**(1/3)))**(-2), x)","F",0
65,0,0,0,0.000000," ","integrate(1/x/(a+b*tan(c+d*x**(1/3)))**2,x)","\int \frac{1}{x \left(a + b \tan{\left(c + d \sqrt[3]{x} \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x*(a + b*tan(c + d*x**(1/3)))**2), x)","F",0
66,0,0,0,0.000000," ","integrate(1/x**2/(a+b*tan(c+d*x**(1/3)))**2,x)","\int \frac{1}{x^{2} \left(a + b \tan{\left(c + d \sqrt[3]{x} \right)}\right)^{2}}\, dx"," ",0,"Integral(1/(x**2*(a + b*tan(c + d*x**(1/3)))**2), x)","F",0
