1,0,0,0,0.000000," ","integrate(x**3*atanh(b*x+a)**2,x)","\int x^{3} \operatorname{atanh}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**3*atanh(a + b*x)**2, x)","F",0
2,0,0,0,0.000000," ","integrate(x**2*atanh(b*x+a)**2,x)","\int x^{2} \operatorname{atanh}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x**2*atanh(a + b*x)**2, x)","F",0
3,0,0,0,0.000000," ","integrate(x*atanh(b*x+a)**2,x)","\int x \operatorname{atanh}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(x*atanh(a + b*x)**2, x)","F",0
4,0,0,0,0.000000," ","integrate(atanh(b*x+a)**2,x)","\int \operatorname{atanh}^{2}{\left(a + b x \right)}\, dx"," ",0,"Integral(atanh(a + b*x)**2, x)","F",0
5,0,0,0,0.000000," ","integrate(atanh(b*x+a)**2/x,x)","\int \frac{\operatorname{atanh}^{2}{\left(a + b x \right)}}{x}\, dx"," ",0,"Integral(atanh(a + b*x)**2/x, x)","F",0
6,0,0,0,0.000000," ","integrate(atanh(b*x+a)**2/x**2,x)","\int \frac{\operatorname{atanh}^{2}{\left(a + b x \right)}}{x^{2}}\, dx"," ",0,"Integral(atanh(a + b*x)**2/x**2, x)","F",0
7,0,0,0,0.000000," ","integrate(atanh(b*x+a)**2/x**3,x)","\int \frac{\operatorname{atanh}^{2}{\left(a + b x \right)}}{x^{3}}\, dx"," ",0,"Integral(atanh(a + b*x)**2/x**3, x)","F",0
8,0,0,0,0.000000," ","integrate(atanh(b*x+1)**2/x,x)","\int \frac{\operatorname{atanh}^{2}{\left(b x + 1 \right)}}{x}\, dx"," ",0,"Integral(atanh(b*x + 1)**2/x, x)","F",0
9,1,231,0,4.272122," ","integrate((d*e*x+c*e)**3*(a+b*atanh(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{atanh}{\left(c + d x \right)}}{4 d} + b c^{3} e^{3} x \operatorname{atanh}{\left(c + d x \right)} + \frac{3 b c^{2} d e^{3} x^{2} \operatorname{atanh}{\left(c + d x \right)}}{2} + \frac{b c^{2} e^{3} x}{4} + b c d^{2} e^{3} x^{3} \operatorname{atanh}{\left(c + d x \right)} + \frac{b c d e^{3} x^{2}}{4} + \frac{b d^{3} e^{3} x^{4} \operatorname{atanh}{\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{atanh}{\left(c + d x \right)}}{4 d} & \text{for}\: d \neq 0 \\c^{3} e^{3} x \left(a + b \operatorname{atanh}{\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*atanh(c + d*x)/(4*d) + b*c**3*e**3*x*atanh(c + d*x) + 3*b*c**2*d*e**3*x**2*atanh(c + d*x)/2 + b*c**2*e**3*x/4 + b*c*d**2*e**3*x**3*atanh(c + d*x) + b*c*d*e**3*x**2/4 + b*d**3*e**3*x**4*atanh(c + d*x)/4 + b*d**2*e**3*x**3/12 + b*e**3*x/4 - b*e**3*atanh(c + d*x)/(4*d), Ne(d, 0)), (c**3*e**3*x*(a + b*atanh(c)), True))","A",0
10,1,180,0,3.032837," ","integrate((d*e*x+c*e)**2*(a+b*atanh(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{atanh}{\left(c + d x \right)}}{3 d} + b c^{2} e^{2} x \operatorname{atanh}{\left(c + d x \right)} + b c d e^{2} x^{2} \operatorname{atanh}{\left(c + d x \right)} + \frac{b c e^{2} x}{3} + \frac{b d^{2} e^{2} x^{3} \operatorname{atanh}{\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{1}{d} \right)}}{3 d} - \frac{b e^{2} \operatorname{atanh}{\left(c + d x \right)}}{3 d} & \text{for}\: d \neq 0 \\c^{2} e^{2} x \left(a + b \operatorname{atanh}{\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*atanh(c + d*x)/(3*d) + b*c**2*e**2*x*atanh(c + d*x) + b*c*d*e**2*x**2*atanh(c + d*x) + b*c*e**2*x/3 + b*d**2*e**2*x**3*atanh(c + d*x)/3 + b*d*e**2*x**2/6 + b*e**2*log(c/d + x + 1/d)/(3*d) - b*e**2*atanh(c + d*x)/(3*d), Ne(d, 0)), (c**2*e**2*x*(a + b*atanh(c)), True))","A",0
11,1,95,0,1.663720," ","integrate((d*e*x+c*e)*(a+b*atanh(d*x+c)),x)","\begin{cases} a c e x + \frac{a d e x^{2}}{2} + \frac{b c^{2} e \operatorname{atanh}{\left(c + d x \right)}}{2 d} + b c e x \operatorname{atanh}{\left(c + d x \right)} + \frac{b d e x^{2} \operatorname{atanh}{\left(c + d x \right)}}{2} + \frac{b e x}{2} - \frac{b e \operatorname{atanh}{\left(c + d x \right)}}{2 d} & \text{for}\: d \neq 0 \\c e x \left(a + b \operatorname{atanh}{\left(c \right)}\right) & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*c*e*x + a*d*e*x**2/2 + b*c**2*e*atanh(c + d*x)/(2*d) + b*c*e*x*atanh(c + d*x) + b*d*e*x**2*atanh(c + d*x)/2 + b*e*x/2 - b*e*atanh(c + d*x)/(2*d), Ne(d, 0)), (c*e*x*(a + b*atanh(c)), True))","A",0
12,0,0,0,0.000000," ","integrate((a+b*atanh(d*x+c))/(d*e*x+c*e),x)","\frac{\int \frac{a}{c + d x}\, dx + \int \frac{b \operatorname{atanh}{\left(c + d x \right)}}{c + d x}\, dx}{e}"," ",0,"(Integral(a/(c + d*x), x) + Integral(b*atanh(c + d*x)/(c + d*x), x))/e","F",0
13,1,270,0,2.834404," ","integrate((a+b*atanh(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{- \frac{a}{x} + b d \log{\left(x \right)} - b d \log{\left(x - \frac{1}{d} \right)} - b d \operatorname{atanh}{\left(d x \right)} - \frac{b \operatorname{atanh}{\left(d x \right)}}{x}}{d^{2} e^{2}} & \text{for}\: c = 0 \\\frac{x \left(a + b \operatorname{atanh}{\left(c \right)}\right)}{c^{2} e^{2}} & \text{for}\: d = 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{1}{d} \right)}}{c d e^{2} + d^{2} e^{2} x} + \frac{b c \operatorname{atanh}{\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{1}{d} \right)}}{c d e^{2} + d^{2} e^{2} x} + \frac{b d x \operatorname{atanh}{\left(c + d x \right)}}{c d e^{2} + d^{2} e^{2} x} - \frac{b \operatorname{atanh}{\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)), ((-a/x + b*d*log(x) - b*d*log(x - 1/d) - b*d*atanh(d*x) - b*atanh(d*x)/x)/(d**2*e**2), Eq(c, 0)), (x*(a + b*atanh(c))/(c**2*e**2), Eq(d, 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 + 1/d)/(c*d*e**2 + d**2*e**2*x) + b*c*atanh(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 + 1/d)/(c*d*e**2 + d**2*e**2*x) + b*d*x*atanh(c + d*x)/(c*d*e**2 + d**2*e**2*x) - b*atanh(c + d*x)/(c*d*e**2 + d**2*e**2*x), True))","A",0
14,1,313,0,3.546476," ","integrate((a+b*atanh(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{atanh}{\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{atanh}{\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{atanh}{\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{atanh}{\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{atanh}{\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*atanh(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*atanh(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*atanh(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*atanh(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*atanh(c))/(c**3*e**3), True))","A",0
15,1,581,0,8.073255," ","integrate((d*e*x+c*e)**3*(a+b*atanh(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{atanh}{\left(c + d x \right)}}{2 d} + 2 a b c^{3} e^{3} x \operatorname{atanh}{\left(c + d x \right)} + 3 a b c^{2} d e^{3} x^{2} \operatorname{atanh}{\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{atanh}{\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{atanh}{\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{atanh}{\left(c + d x \right)}}{2 d} + \frac{b^{2} c^{4} e^{3} \operatorname{atanh}^{2}{\left(c + d x \right)}}{4 d} + b^{2} c^{3} e^{3} x \operatorname{atanh}^{2}{\left(c + d x \right)} + \frac{b^{2} c^{3} e^{3} \operatorname{atanh}{\left(c + d x \right)}}{6 d} + \frac{3 b^{2} c^{2} d e^{3} x^{2} \operatorname{atanh}^{2}{\left(c + d x \right)}}{2} + \frac{b^{2} c^{2} e^{3} x \operatorname{atanh}{\left(c + d x \right)}}{2} + b^{2} c d^{2} e^{3} x^{3} \operatorname{atanh}^{2}{\left(c + d x \right)} + \frac{b^{2} c d e^{3} x^{2} \operatorname{atanh}{\left(c + d x \right)}}{2} + \frac{b^{2} c e^{3} x}{6} + \frac{b^{2} c e^{3} \operatorname{atanh}{\left(c + d x \right)}}{2 d} + \frac{b^{2} d^{3} e^{3} x^{4} \operatorname{atanh}^{2}{\left(c + d x \right)}}{4} + \frac{b^{2} d^{2} e^{3} x^{3} \operatorname{atanh}{\left(c + d x \right)}}{6} + \frac{b^{2} d e^{3} x^{2}}{12} + \frac{b^{2} e^{3} x \operatorname{atanh}{\left(c + d x \right)}}{2} + \frac{2 b^{2} e^{3} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{3 d} - \frac{b^{2} e^{3} \operatorname{atanh}^{2}{\left(c + d x \right)}}{4 d} - \frac{2 b^{2} e^{3} \operatorname{atanh}{\left(c + d x \right)}}{3 d} & \text{for}\: d \neq 0 \\c^{3} e^{3} x \left(a + b \operatorname{atanh}{\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*atanh(c + d*x)/(2*d) + 2*a*b*c**3*e**3*x*atanh(c + d*x) + 3*a*b*c**2*d*e**3*x**2*atanh(c + d*x) + a*b*c**2*e**3*x/2 + 2*a*b*c*d**2*e**3*x**3*atanh(c + d*x) + a*b*c*d*e**3*x**2/2 + a*b*d**3*e**3*x**4*atanh(c + d*x)/2 + a*b*d**2*e**3*x**3/6 + a*b*e**3*x/2 - a*b*e**3*atanh(c + d*x)/(2*d) + b**2*c**4*e**3*atanh(c + d*x)**2/(4*d) + b**2*c**3*e**3*x*atanh(c + d*x)**2 + b**2*c**3*e**3*atanh(c + d*x)/(6*d) + 3*b**2*c**2*d*e**3*x**2*atanh(c + d*x)**2/2 + b**2*c**2*e**3*x*atanh(c + d*x)/2 + b**2*c*d**2*e**3*x**3*atanh(c + d*x)**2 + b**2*c*d*e**3*x**2*atanh(c + d*x)/2 + b**2*c*e**3*x/6 + b**2*c*e**3*atanh(c + d*x)/(2*d) + b**2*d**3*e**3*x**4*atanh(c + d*x)**2/4 + b**2*d**2*e**3*x**3*atanh(c + d*x)/6 + b**2*d*e**3*x**2/12 + b**2*e**3*x*atanh(c + d*x)/2 + 2*b**2*e**3*log(c/d + x + 1/d)/(3*d) - b**2*e**3*atanh(c + d*x)**2/(4*d) - 2*b**2*e**3*atanh(c + d*x)/(3*d), Ne(d, 0)), (c**3*e**3*x*(a + b*atanh(c))**2, True))","A",0
16,0,0,0,0.000000," ","integrate((d*e*x+c*e)**2*(a+b*atanh(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{atanh}^{2}{\left(c + d x \right)}\, dx + \int 2 a b c^{2} \operatorname{atanh}{\left(c + d x \right)}\, dx + \int 2 a^{2} c d x\, dx + \int b^{2} d^{2} x^{2} \operatorname{atanh}^{2}{\left(c + d x \right)}\, dx + \int 2 a b d^{2} x^{2} \operatorname{atanh}{\left(c + d x \right)}\, dx + \int 2 b^{2} c d x \operatorname{atanh}^{2}{\left(c + d x \right)}\, dx + \int 4 a b c d x \operatorname{atanh}{\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*atanh(c + d*x)**2, x) + Integral(2*a*b*c**2*atanh(c + d*x), x) + Integral(2*a**2*c*d*x, x) + Integral(b**2*d**2*x**2*atanh(c + d*x)**2, x) + Integral(2*a*b*d**2*x**2*atanh(c + d*x), x) + Integral(2*b**2*c*d*x*atanh(c + d*x)**2, x) + Integral(4*a*b*c*d*x*atanh(c + d*x), x))","F",0
17,1,238,0,3.227042," ","integrate((d*e*x+c*e)*(a+b*atanh(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{atanh}{\left(c + d x \right)}}{d} + 2 a b c e x \operatorname{atanh}{\left(c + d x \right)} + a b d e x^{2} \operatorname{atanh}{\left(c + d x \right)} + a b e x - \frac{a b e \operatorname{atanh}{\left(c + d x \right)}}{d} + \frac{b^{2} c^{2} e \operatorname{atanh}^{2}{\left(c + d x \right)}}{2 d} + b^{2} c e x \operatorname{atanh}^{2}{\left(c + d x \right)} + \frac{b^{2} c e \operatorname{atanh}{\left(c + d x \right)}}{d} + \frac{b^{2} d e x^{2} \operatorname{atanh}^{2}{\left(c + d x \right)}}{2} + b^{2} e x \operatorname{atanh}{\left(c + d x \right)} + \frac{b^{2} e \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d} - \frac{b^{2} e \operatorname{atanh}^{2}{\left(c + d x \right)}}{2 d} - \frac{b^{2} e \operatorname{atanh}{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\c e x \left(a + b \operatorname{atanh}{\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*atanh(c + d*x)/d + 2*a*b*c*e*x*atanh(c + d*x) + a*b*d*e*x**2*atanh(c + d*x) + a*b*e*x - a*b*e*atanh(c + d*x)/d + b**2*c**2*e*atanh(c + d*x)**2/(2*d) + b**2*c*e*x*atanh(c + d*x)**2 + b**2*c*e*atanh(c + d*x)/d + b**2*d*e*x**2*atanh(c + d*x)**2/2 + b**2*e*x*atanh(c + d*x) + b**2*e*log(c/d + x + 1/d)/d - b**2*e*atanh(c + d*x)**2/(2*d) - b**2*e*atanh(c + d*x)/d, Ne(d, 0)), (c*e*x*(a + b*atanh(c))**2, True))","A",0
18,0,0,0,0.000000," ","integrate((a+b*atanh(d*x+c))**2/(d*e*x+c*e),x)","\frac{\int \frac{a^{2}}{c + d x}\, dx + \int \frac{b^{2} \operatorname{atanh}^{2}{\left(c + d x \right)}}{c + d x}\, dx + \int \frac{2 a b \operatorname{atanh}{\left(c + d x \right)}}{c + d x}\, dx}{e}"," ",0,"(Integral(a**2/(c + d*x), x) + Integral(b**2*atanh(c + d*x)**2/(c + d*x), x) + Integral(2*a*b*atanh(c + d*x)/(c + d*x), x))/e","F",0
19,0,0,0,0.000000," ","integrate((a+b*atanh(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{atanh}^{2}{\left(c + d x \right)}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{2 a b \operatorname{atanh}{\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*atanh(c + d*x)**2/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(2*a*b*atanh(c + d*x)/(c**2 + 2*c*d*x + d**2*x**2), x))/e**2","F",0
20,1,1102,0,4.309806," ","integrate((a+b*atanh(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{atanh}{\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{atanh}{\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{atanh}{\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{atanh}{\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{1}{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{atanh}^{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 b^{2} c^{2} \operatorname{atanh}{\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{1}{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{atanh}^{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 b^{2} c d x \operatorname{atanh}{\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{atanh}{\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{1}{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{atanh}^{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 b^{2} d^{2} x^{2} \operatorname{atanh}{\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{atanh}{\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{atanh}^{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{atanh}{\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*atanh(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*atanh(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*atanh(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*atanh(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 + 1/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*atanh(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*b**2*c**2*atanh(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 + 1/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*atanh(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*b**2*c*d*x*atanh(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*atanh(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 + 1/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*atanh(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*b**2*d**2*x**2*atanh(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*atanh(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*atanh(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*atanh(c))**2/(c**3*e**3), True))","A",0
21,0,0,0,0.000000," ","integrate((a+b*atanh(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{atanh}^{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{atanh}{\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*atanh(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*atanh(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
22,1,3516,0,10.588837," ","integrate((a+b*atanh(d*x+c))**2/(d*e*x+c*e)**5,x)","\begin{cases} - \frac{3 a^{2}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{6 a b c^{4} \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{24 a b c^{3} d x \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{6 a b c^{3}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{36 a b c^{2} d^{2} x^{2} \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{18 a b c^{2} d x}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{24 a b c d^{3} x^{3} \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{18 a b c d^{2} x^{2}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{2 a b c}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{6 a b d^{4} x^{4} \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{6 a b d^{3} x^{3}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{2 a b d x}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{6 a b \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{8 b^{2} c^{4} \log{\left(\frac{c}{d} + x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{8 b^{2} c^{4} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{3 b^{2} c^{4} \operatorname{atanh}^{2}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{8 b^{2} c^{4} \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{32 b^{2} c^{3} d x \log{\left(\frac{c}{d} + x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{32 b^{2} c^{3} d x \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{12 b^{2} c^{3} d x \operatorname{atanh}^{2}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{32 b^{2} c^{3} d x \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{6 b^{2} c^{3} \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{48 b^{2} c^{2} d^{2} x^{2} \log{\left(\frac{c}{d} + x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{48 b^{2} c^{2} d^{2} x^{2} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{18 b^{2} c^{2} d^{2} x^{2} \operatorname{atanh}^{2}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{48 b^{2} c^{2} d^{2} x^{2} \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{18 b^{2} c^{2} d x \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{b^{2} c^{2}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{32 b^{2} c d^{3} x^{3} \log{\left(\frac{c}{d} + x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{32 b^{2} c d^{3} x^{3} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{12 b^{2} c d^{3} x^{3} \operatorname{atanh}^{2}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{32 b^{2} c d^{3} x^{3} \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{18 b^{2} c d^{2} x^{2} \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{2 b^{2} c d x}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{2 b^{2} c \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{8 b^{2} d^{4} x^{4} \log{\left(\frac{c}{d} + x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{8 b^{2} d^{4} x^{4} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{3 b^{2} d^{4} x^{4} \operatorname{atanh}^{2}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} + \frac{8 b^{2} d^{4} x^{4} \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{6 b^{2} d^{3} x^{3} \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{b^{2} d^{2} x^{2}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{2 b^{2} d x \operatorname{atanh}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} - \frac{3 b^{2} \operatorname{atanh}^{2}{\left(c + d x \right)}}{12 c^{4} d e^{5} + 48 c^{3} d^{2} e^{5} x + 72 c^{2} d^{3} e^{5} x^{2} + 48 c d^{4} e^{5} x^{3} + 12 d^{5} e^{5} x^{4}} & \text{for}\: d \neq 0 \\\frac{x \left(a + b \operatorname{atanh}{\left(c \right)}\right)^{2}}{c^{5} e^{5}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*a**2/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 6*a*b*c**4*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 24*a*b*c**3*d*x*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 6*a*b*c**3/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 36*a*b*c**2*d**2*x**2*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 18*a*b*c**2*d*x/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 24*a*b*c*d**3*x**3*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 18*a*b*c*d**2*x**2/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 2*a*b*c/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 6*a*b*d**4*x**4*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 6*a*b*d**3*x**3/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 2*a*b*d*x/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 6*a*b*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 8*b**2*c**4*log(c/d + x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 8*b**2*c**4*log(c/d + x + 1/d)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 3*b**2*c**4*atanh(c + d*x)**2/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 8*b**2*c**4*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 32*b**2*c**3*d*x*log(c/d + x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 32*b**2*c**3*d*x*log(c/d + x + 1/d)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 12*b**2*c**3*d*x*atanh(c + d*x)**2/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 32*b**2*c**3*d*x*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 6*b**2*c**3*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 48*b**2*c**2*d**2*x**2*log(c/d + x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 48*b**2*c**2*d**2*x**2*log(c/d + x + 1/d)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 18*b**2*c**2*d**2*x**2*atanh(c + d*x)**2/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 48*b**2*c**2*d**2*x**2*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 18*b**2*c**2*d*x*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - b**2*c**2/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 32*b**2*c*d**3*x**3*log(c/d + x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 32*b**2*c*d**3*x**3*log(c/d + x + 1/d)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 12*b**2*c*d**3*x**3*atanh(c + d*x)**2/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 32*b**2*c*d**3*x**3*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 18*b**2*c*d**2*x**2*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 2*b**2*c*d*x/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 2*b**2*c*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 8*b**2*d**4*x**4*log(c/d + x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 8*b**2*d**4*x**4*log(c/d + x + 1/d)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 3*b**2*d**4*x**4*atanh(c + d*x)**2/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) + 8*b**2*d**4*x**4*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 6*b**2*d**3*x**3*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - b**2*d**2*x**2/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 2*b**2*d*x*atanh(c + d*x)/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4) - 3*b**2*atanh(c + d*x)**2/(12*c**4*d*e**5 + 48*c**3*d**2*e**5*x + 72*c**2*d**3*e**5*x**2 + 48*c*d**4*e**5*x**3 + 12*d**5*e**5*x**4), Ne(d, 0)), (x*(a + b*atanh(c))**2/(c**5*e**5), True))","A",0
23,0,0,0,0.000000," ","integrate((d*e*x+c*e)**2*(a+b*atanh(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{atanh}^{3}{\left(c + d x \right)}\, dx + \int 3 a b^{2} c^{2} \operatorname{atanh}^{2}{\left(c + d x \right)}\, dx + \int 3 a^{2} b c^{2} \operatorname{atanh}{\left(c + d x \right)}\, dx + \int 2 a^{3} c d x\, dx + \int b^{3} d^{2} x^{2} \operatorname{atanh}^{3}{\left(c + d x \right)}\, dx + \int 3 a b^{2} d^{2} x^{2} \operatorname{atanh}^{2}{\left(c + d x \right)}\, dx + \int 3 a^{2} b d^{2} x^{2} \operatorname{atanh}{\left(c + d x \right)}\, dx + \int 2 b^{3} c d x \operatorname{atanh}^{3}{\left(c + d x \right)}\, dx + \int 6 a b^{2} c d x \operatorname{atanh}^{2}{\left(c + d x \right)}\, dx + \int 6 a^{2} b c d x \operatorname{atanh}{\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*atanh(c + d*x)**3, x) + Integral(3*a*b**2*c**2*atanh(c + d*x)**2, x) + Integral(3*a**2*b*c**2*atanh(c + d*x), x) + Integral(2*a**3*c*d*x, x) + Integral(b**3*d**2*x**2*atanh(c + d*x)**3, x) + Integral(3*a*b**2*d**2*x**2*atanh(c + d*x)**2, x) + Integral(3*a**2*b*d**2*x**2*atanh(c + d*x), x) + Integral(2*b**3*c*d*x*atanh(c + d*x)**3, x) + Integral(6*a*b**2*c*d*x*atanh(c + d*x)**2, x) + Integral(6*a**2*b*c*d*x*atanh(c + d*x), x))","F",0
24,0,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*atanh(d*x+c))**3,x)","e \left(\int a^{3} c\, dx + \int a^{3} d x\, dx + \int b^{3} c \operatorname{atanh}^{3}{\left(c + d x \right)}\, dx + \int 3 a b^{2} c \operatorname{atanh}^{2}{\left(c + d x \right)}\, dx + \int 3 a^{2} b c \operatorname{atanh}{\left(c + d x \right)}\, dx + \int b^{3} d x \operatorname{atanh}^{3}{\left(c + d x \right)}\, dx + \int 3 a b^{2} d x \operatorname{atanh}^{2}{\left(c + d x \right)}\, dx + \int 3 a^{2} b d x \operatorname{atanh}{\left(c + d x \right)}\, dx\right)"," ",0,"e*(Integral(a**3*c, x) + Integral(a**3*d*x, x) + Integral(b**3*c*atanh(c + d*x)**3, x) + Integral(3*a*b**2*c*atanh(c + d*x)**2, x) + Integral(3*a**2*b*c*atanh(c + d*x), x) + Integral(b**3*d*x*atanh(c + d*x)**3, x) + Integral(3*a*b**2*d*x*atanh(c + d*x)**2, x) + Integral(3*a**2*b*d*x*atanh(c + d*x), x))","F",0
25,0,0,0,0.000000," ","integrate((a+b*atanh(d*x+c))**3/(d*e*x+c*e),x)","\frac{\int \frac{a^{3}}{c + d x}\, dx + \int \frac{b^{3} \operatorname{atanh}^{3}{\left(c + d x \right)}}{c + d x}\, dx + \int \frac{3 a b^{2} \operatorname{atanh}^{2}{\left(c + d x \right)}}{c + d x}\, dx + \int \frac{3 a^{2} b \operatorname{atanh}{\left(c + d x \right)}}{c + d x}\, dx}{e}"," ",0,"(Integral(a**3/(c + d*x), x) + Integral(b**3*atanh(c + d*x)**3/(c + d*x), x) + Integral(3*a*b**2*atanh(c + d*x)**2/(c + d*x), x) + Integral(3*a**2*b*atanh(c + d*x)/(c + d*x), x))/e","F",0
26,0,0,0,0.000000," ","integrate((a+b*atanh(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{atanh}^{3}{\left(c + d x \right)}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{3 a b^{2} \operatorname{atanh}^{2}{\left(c + d x \right)}}{c^{2} + 2 c d x + d^{2} x^{2}}\, dx + \int \frac{3 a^{2} b \operatorname{atanh}{\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*atanh(c + d*x)**3/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(3*a*b**2*atanh(c + d*x)**2/(c**2 + 2*c*d*x + d**2*x**2), x) + Integral(3*a**2*b*atanh(c + d*x)/(c**2 + 2*c*d*x + d**2*x**2), x))/e**2","F",0
27,0,0,0,0.000000," ","integrate((a+b*atanh(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{atanh}^{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{atanh}^{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{atanh}{\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*atanh(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*atanh(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*atanh(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
28,0,0,0,0.000000," ","integrate((a+b*atanh(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{atanh}^{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{atanh}^{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{atanh}{\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*atanh(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*atanh(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*atanh(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
29,0,0,0,0.000000," ","integrate(atanh(1+x)/(2+2*x),x)","\frac{\int \frac{\operatorname{atanh}{\left(x + 1 \right)}}{x + 1}\, dx}{2}"," ",0,"Integral(atanh(x + 1)/(x + 1), x)/2","F",0
30,0,0,0,0.000000," ","integrate(atanh(b*x+a)/(a*d/b+d*x),x)","\frac{b \int \frac{\operatorname{atanh}{\left(a + b x \right)}}{a + b x}\, dx}{d}"," ",0,"b*Integral(atanh(a + b*x)/(a + b*x), x)/d","F",0
31,1,644,0,7.640396," ","integrate((f*x+e)**3*(a+b*atanh(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{atanh}{\left(c + d x \right)}}{4 d^{4}} + \frac{b c^{3} e f^{2} \operatorname{atanh}{\left(c + d x \right)}}{d^{3}} - \frac{b c^{3} f^{3} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{4}} + \frac{b c^{3} f^{3} \operatorname{atanh}{\left(c + d x \right)}}{d^{4}} - \frac{3 b c^{2} e^{2} f \operatorname{atanh}{\left(c + d x \right)}}{2 d^{2}} + \frac{3 b c^{2} e f^{2} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{3}} - \frac{3 b c^{2} e f^{2} \operatorname{atanh}{\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{atanh}{\left(c + d x \right)}}{2 d^{4}} + \frac{b c e^{3} \operatorname{atanh}{\left(c + d x \right)}}{d} - \frac{3 b c e^{2} f \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{2}} + \frac{3 b c e^{2} f \operatorname{atanh}{\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{atanh}{\left(c + d x \right)}}{d^{3}} - \frac{b c f^{3} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{4}} + \frac{b c f^{3} \operatorname{atanh}{\left(c + d x \right)}}{d^{4}} + b e^{3} x \operatorname{atanh}{\left(c + d x \right)} + \frac{3 b e^{2} f x^{2} \operatorname{atanh}{\left(c + d x \right)}}{2} + b e f^{2} x^{3} \operatorname{atanh}{\left(c + d x \right)} + \frac{b f^{3} x^{4} \operatorname{atanh}{\left(c + d x \right)}}{4} + \frac{b e^{3} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d} - \frac{b e^{3} \operatorname{atanh}{\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{atanh}{\left(c + d x \right)}}{2 d^{2}} + \frac{b e f^{2} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{3}} - \frac{b e f^{2} \operatorname{atanh}{\left(c + d x \right)}}{d^{3}} + \frac{b f^{3} x}{4 d^{3}} - \frac{b f^{3} \operatorname{atanh}{\left(c + d x \right)}}{4 d^{4}} & \text{for}\: d \neq 0 \\\left(a + b \operatorname{atanh}{\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*atanh(c + d*x)/(4*d**4) + b*c**3*e*f**2*atanh(c + d*x)/d**3 - b*c**3*f**3*log(c/d + x + 1/d)/d**4 + b*c**3*f**3*atanh(c + d*x)/d**4 - 3*b*c**2*e**2*f*atanh(c + d*x)/(2*d**2) + 3*b*c**2*e*f**2*log(c/d + x + 1/d)/d**3 - 3*b*c**2*e*f**2*atanh(c + d*x)/d**3 + 3*b*c**2*f**3*x/(4*d**3) - 3*b*c**2*f**3*atanh(c + d*x)/(2*d**4) + b*c*e**3*atanh(c + d*x)/d - 3*b*c*e**2*f*log(c/d + x + 1/d)/d**2 + 3*b*c*e**2*f*atanh(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*atanh(c + d*x)/d**3 - b*c*f**3*log(c/d + x + 1/d)/d**4 + b*c*f**3*atanh(c + d*x)/d**4 + b*e**3*x*atanh(c + d*x) + 3*b*e**2*f*x**2*atanh(c + d*x)/2 + b*e*f**2*x**3*atanh(c + d*x) + b*f**3*x**4*atanh(c + d*x)/4 + b*e**3*log(c/d + x + 1/d)/d - b*e**3*atanh(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*atanh(c + d*x)/(2*d**2) + b*e*f**2*log(c/d + x + 1/d)/d**3 - b*e*f**2*atanh(c + d*x)/d**3 + b*f**3*x/(4*d**3) - b*f**3*atanh(c + d*x)/(4*d**4), Ne(d, 0)), ((a + b*atanh(c))*(e**3*x + 3*e**2*f*x**2/2 + e*f**2*x**3 + f**3*x**4/4), True))","A",0
32,1,369,0,4.566977," ","integrate((f*x+e)**2*(a+b*atanh(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{atanh}{\left(c + d x \right)}}{3 d^{3}} - \frac{b c^{2} e f \operatorname{atanh}{\left(c + d x \right)}}{d^{2}} + \frac{b c^{2} f^{2} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{3}} - \frac{b c^{2} f^{2} \operatorname{atanh}{\left(c + d x \right)}}{d^{3}} + \frac{b c e^{2} \operatorname{atanh}{\left(c + d x \right)}}{d} - \frac{2 b c e f \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{2}} + \frac{2 b c e f \operatorname{atanh}{\left(c + d x \right)}}{d^{2}} - \frac{2 b c f^{2} x}{3 d^{2}} + \frac{b c f^{2} \operatorname{atanh}{\left(c + d x \right)}}{d^{3}} + b e^{2} x \operatorname{atanh}{\left(c + d x \right)} + b e f x^{2} \operatorname{atanh}{\left(c + d x \right)} + \frac{b f^{2} x^{3} \operatorname{atanh}{\left(c + d x \right)}}{3} + \frac{b e^{2} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d} - \frac{b e^{2} \operatorname{atanh}{\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{atanh}{\left(c + d x \right)}}{d^{2}} + \frac{b f^{2} \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{3 d^{3}} - \frac{b f^{2} \operatorname{atanh}{\left(c + d x \right)}}{3 d^{3}} & \text{for}\: d \neq 0 \\\left(a + b \operatorname{atanh}{\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*atanh(c + d*x)/(3*d**3) - b*c**2*e*f*atanh(c + d*x)/d**2 + b*c**2*f**2*log(c/d + x + 1/d)/d**3 - b*c**2*f**2*atanh(c + d*x)/d**3 + b*c*e**2*atanh(c + d*x)/d - 2*b*c*e*f*log(c/d + x + 1/d)/d**2 + 2*b*c*e*f*atanh(c + d*x)/d**2 - 2*b*c*f**2*x/(3*d**2) + b*c*f**2*atanh(c + d*x)/d**3 + b*e**2*x*atanh(c + d*x) + b*e*f*x**2*atanh(c + d*x) + b*f**2*x**3*atanh(c + d*x)/3 + b*e**2*log(c/d + x + 1/d)/d - b*e**2*atanh(c + d*x)/d + b*e*f*x/d + b*f**2*x**2/(6*d) - b*e*f*atanh(c + d*x)/d**2 + b*f**2*log(c/d + x + 1/d)/(3*d**3) - b*f**2*atanh(c + d*x)/(3*d**3), Ne(d, 0)), ((a + b*atanh(c))*(e**2*x + e*f*x**2 + f**2*x**3/3), True))","A",0
33,1,173,0,2.348332," ","integrate((f*x+e)*(a+b*atanh(d*x+c)),x)","\begin{cases} a e x + \frac{a f x^{2}}{2} - \frac{b c^{2} f \operatorname{atanh}{\left(c + d x \right)}}{2 d^{2}} + \frac{b c e \operatorname{atanh}{\left(c + d x \right)}}{d} - \frac{b c f \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d^{2}} + \frac{b c f \operatorname{atanh}{\left(c + d x \right)}}{d^{2}} + b e x \operatorname{atanh}{\left(c + d x \right)} + \frac{b f x^{2} \operatorname{atanh}{\left(c + d x \right)}}{2} + \frac{b e \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d} - \frac{b e \operatorname{atanh}{\left(c + d x \right)}}{d} + \frac{b f x}{2 d} - \frac{b f \operatorname{atanh}{\left(c + d x \right)}}{2 d^{2}} & \text{for}\: d \neq 0 \\\left(a + b \operatorname{atanh}{\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*atanh(c + d*x)/(2*d**2) + b*c*e*atanh(c + d*x)/d - b*c*f*log(c/d + x + 1/d)/d**2 + b*c*f*atanh(c + d*x)/d**2 + b*e*x*atanh(c + d*x) + b*f*x**2*atanh(c + d*x)/2 + b*e*log(c/d + x + 1/d)/d - b*e*atanh(c + d*x)/d + b*f*x/(2*d) - b*f*atanh(c + d*x)/(2*d**2), Ne(d, 0)), ((a + b*atanh(c))*(e*x + f*x**2/2), True))","A",0
34,1,46,0,0.601816," ","integrate(a+b*atanh(d*x+c),x)","a x + b \left(\begin{cases} \frac{c \operatorname{atanh}{\left(c + d x \right)}}{d} + x \operatorname{atanh}{\left(c + d x \right)} + \frac{\log{\left(c + d x + 1 \right)}}{d} - \frac{\operatorname{atanh}{\left(c + d x \right)}}{d} & \text{for}\: d \neq 0 \\x \operatorname{atanh}{\left(c \right)} & \text{otherwise} \end{cases}\right)"," ",0,"a*x + b*Piecewise((c*atanh(c + d*x)/d + x*atanh(c + d*x) + log(c + d*x + 1)/d - atanh(c + d*x)/d, Ne(d, 0)), (x*atanh(c), True))","A",0
35,0,0,0,0.000000," ","integrate((a+b*atanh(d*x+c))/(f*x+e),x)","\int \frac{a + b \operatorname{atanh}{\left(c + d x \right)}}{e + f x}\, dx"," ",0,"Integral((a + b*atanh(c + d*x))/(e + f*x), x)","F",0
36,1,1658,0,10.011916," ","integrate((a+b*atanh(d*x+c))/(f*x+e)**2,x)","\begin{cases} \frac{a x + \frac{b c \operatorname{atanh}{\left(c + d x \right)}}{d} + b x \operatorname{atanh}{\left(c + d x \right)} + \frac{b \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d} - \frac{b \operatorname{atanh}{\left(c + d x \right)}}{d}}{e^{2}} & \text{for}\: f = 0 \\- \frac{2 a f}{2 e f^{2} + 2 f^{3} x} + \frac{b d e \operatorname{atanh}{\left(\frac{d e}{f} + d x - 1 \right)}}{2 e f^{2} + 2 f^{3} x} + \frac{b d f x \operatorname{atanh}{\left(\frac{d e}{f} + d x - 1 \right)}}{2 e f^{2} + 2 f^{3} x} - \frac{2 b f \operatorname{atanh}{\left(\frac{d e}{f} + d x - 1 \right)}}{2 e f^{2} + 2 f^{3} x} - \frac{b f}{2 e f^{2} + 2 f^{3} x} & \text{for}\: c = \frac{d e - f}{f} \\- \frac{2 a f}{2 e f^{2} + 2 f^{3} x} - \frac{b d e \operatorname{atanh}{\left(\frac{d e}{f} + d x + 1 \right)}}{2 e f^{2} + 2 f^{3} x} - \frac{b d f x \operatorname{atanh}{\left(\frac{d e}{f} + d x + 1 \right)}}{2 e f^{2} + 2 f^{3} x} - \frac{2 b f \operatorname{atanh}{\left(\frac{d e}{f} + d x + 1 \right)}}{2 e f^{2} + 2 f^{3} x} + \frac{b f}{2 e f^{2} + 2 f^{3} x} & \text{for}\: c = \frac{d e + f}{f} \\\tilde{\infty} \left(a x + \frac{b c \operatorname{atanh}{\left(c + d x \right)}}{d} + b x \operatorname{atanh}{\left(c + d x \right)} + \frac{b \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{d} - \frac{b \operatorname{atanh}{\left(c + d x \right)}}{d}\right) & \text{for}\: e = - f x \\- \frac{a + b \operatorname{atanh}{\left(c \right)}}{e f + f^{2} x} & \text{for}\: d = 0 \\- \frac{a c^{2} f^{2}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} + \frac{2 a c d e f}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} - \frac{a d^{2} e^{2}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} + \frac{a f^{2}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} - \frac{b c^{2} f^{2} \operatorname{atanh}{\left(c + d x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} + \frac{b c d e f \operatorname{atanh}{\left(c + d x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} - \frac{b c d f^{2} x \operatorname{atanh}{\left(c + d x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} + \frac{b d^{2} e f x \operatorname{atanh}{\left(c + d x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} - \frac{b d e f \log{\left(\frac{e}{f} + x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} + \frac{b d e f \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} - \frac{b d e f \operatorname{atanh}{\left(c + d x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} - \frac{b d f^{2} x \log{\left(\frac{e}{f} + x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} + \frac{b d f^{2} x \log{\left(\frac{c}{d} + x + \frac{1}{d} \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} - \frac{b d f^{2} x \operatorname{atanh}{\left(c + d x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} + \frac{b f^{2} \operatorname{atanh}{\left(c + d x \right)}}{c^{2} e f^{3} + c^{2} f^{4} x - 2 c d e^{2} f^{2} - 2 c d e f^{3} x + d^{2} e^{3} f + d^{2} e^{2} f^{2} x - e f^{3} - f^{4} x} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((a*x + b*c*atanh(c + d*x)/d + b*x*atanh(c + d*x) + b*log(c/d + x + 1/d)/d - b*atanh(c + d*x)/d)/e**2, Eq(f, 0)), (-2*a*f/(2*e*f**2 + 2*f**3*x) + b*d*e*atanh(d*e/f + d*x - 1)/(2*e*f**2 + 2*f**3*x) + b*d*f*x*atanh(d*e/f + d*x - 1)/(2*e*f**2 + 2*f**3*x) - 2*b*f*atanh(d*e/f + d*x - 1)/(2*e*f**2 + 2*f**3*x) - b*f/(2*e*f**2 + 2*f**3*x), Eq(c, (d*e - f)/f)), (-2*a*f/(2*e*f**2 + 2*f**3*x) - b*d*e*atanh(d*e/f + d*x + 1)/(2*e*f**2 + 2*f**3*x) - b*d*f*x*atanh(d*e/f + d*x + 1)/(2*e*f**2 + 2*f**3*x) - 2*b*f*atanh(d*e/f + d*x + 1)/(2*e*f**2 + 2*f**3*x) + b*f/(2*e*f**2 + 2*f**3*x), Eq(c, (d*e + f)/f)), (zoo*(a*x + b*c*atanh(c + d*x)/d + b*x*atanh(c + d*x) + b*log(c/d + x + 1/d)/d - b*atanh(c + d*x)/d), Eq(e, -f*x)), (-(a + b*atanh(c))/(e*f + f**2*x), Eq(d, 0)), (-a*c**2*f**2/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) + 2*a*c*d*e*f/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) - a*d**2*e**2/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) + a*f**2/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) - b*c**2*f**2*atanh(c + d*x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) + b*c*d*e*f*atanh(c + d*x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) - b*c*d*f**2*x*atanh(c + d*x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) + b*d**2*e*f*x*atanh(c + d*x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) - b*d*e*f*log(e/f + x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) + b*d*e*f*log(c/d + x + 1/d)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) - b*d*e*f*atanh(c + d*x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) - b*d*f**2*x*log(e/f + x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) + b*d*f**2*x*log(c/d + x + 1/d)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) - b*d*f**2*x*atanh(c + d*x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x) + b*f**2*atanh(c + d*x)/(c**2*e*f**3 + c**2*f**4*x - 2*c*d*e**2*f**2 - 2*c*d*e*f**3*x + d**2*e**3*f + d**2*e**2*f**2*x - e*f**3 - f**4*x), True))","A",0
37,-1,0,0,0.000000," ","integrate((a+b*atanh(d*x+c))/(f*x+e)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
38,0,0,0,0.000000," ","integrate((f*x+e)**3*(a+b*atanh(d*x+c))**2,x)","\int \left(a + b \operatorname{atanh}{\left(c + d x \right)}\right)^{2} \left(e + f x\right)^{3}\, dx"," ",0,"Integral((a + b*atanh(c + d*x))**2*(e + f*x)**3, x)","F",0
39,0,0,0,0.000000," ","integrate((f*x+e)**2*(a+b*atanh(d*x+c))**2,x)","\int \left(a + b \operatorname{atanh}{\left(c + d x \right)}\right)^{2} \left(e + f x\right)^{2}\, dx"," ",0,"Integral((a + b*atanh(c + d*x))**2*(e + f*x)**2, x)","F",0
40,0,0,0,0.000000," ","integrate((f*x+e)*(a+b*atanh(d*x+c))**2,x)","\int \left(a + b \operatorname{atanh}{\left(c + d x \right)}\right)^{2} \left(e + f x\right)\, dx"," ",0,"Integral((a + b*atanh(c + d*x))**2*(e + f*x), x)","F",0
41,0,0,0,0.000000," ","integrate((a+b*atanh(d*x+c))**2,x)","\int \left(a + b \operatorname{atanh}{\left(c + d x \right)}\right)^{2}\, dx"," ",0,"Integral((a + b*atanh(c + d*x))**2, x)","F",0
42,0,0,0,0.000000," ","integrate((a+b*atanh(d*x+c))**2/(f*x+e),x)","\int \frac{\left(a + b \operatorname{atanh}{\left(c + d x \right)}\right)^{2}}{e + f x}\, dx"," ",0,"Integral((a + b*atanh(c + d*x))**2/(e + f*x), x)","F",0
43,0,0,0,0.000000," ","integrate((a+b*atanh(d*x+c))**2/(f*x+e)**2,x)","\int \frac{\left(a + b \operatorname{atanh}{\left(c + d x \right)}\right)^{2}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral((a + b*atanh(c + d*x))**2/(e + f*x)**2, x)","F",0
44,0,0,0,0.000000," ","integrate((a+b*atanh(d*x+c))**2/(f*x+e)**3,x)","\int \frac{\left(a + b \operatorname{atanh}{\left(c + d x \right)}\right)^{2}}{\left(e + f x\right)^{3}}\, dx"," ",0,"Integral((a + b*atanh(c + d*x))**2/(e + f*x)**3, x)","F",0
45,0,0,0,0.000000," ","integrate((f*x+e)**2*(a+b*atanh(d*x+c))**3,x)","\int \left(a + b \operatorname{atanh}{\left(c + d x \right)}\right)^{3} \left(e + f x\right)^{2}\, dx"," ",0,"Integral((a + b*atanh(c + d*x))**3*(e + f*x)**2, x)","F",0
46,0,0,0,0.000000," ","integrate((f*x+e)*(a+b*atanh(d*x+c))**3,x)","\int \left(a + b \operatorname{atanh}{\left(c + d x \right)}\right)^{3} \left(e + f x\right)\, dx"," ",0,"Integral((a + b*atanh(c + d*x))**3*(e + f*x), x)","F",0
47,0,0,0,0.000000," ","integrate((a+b*atanh(d*x+c))**3,x)","\int \left(a + b \operatorname{atanh}{\left(c + d x \right)}\right)^{3}\, dx"," ",0,"Integral((a + b*atanh(c + d*x))**3, x)","F",0
48,0,0,0,0.000000," ","integrate((a+b*atanh(d*x+c))**3/(f*x+e),x)","\int \frac{\left(a + b \operatorname{atanh}{\left(c + d x \right)}\right)^{3}}{e + f x}\, dx"," ",0,"Integral((a + b*atanh(c + d*x))**3/(e + f*x), x)","F",0
49,0,0,0,0.000000," ","integrate((a+b*atanh(d*x+c))**3/(f*x+e)**2,x)","\int \frac{\left(a + b \operatorname{atanh}{\left(c + d x \right)}\right)^{3}}{\left(e + f x\right)^{2}}\, dx"," ",0,"Integral((a + b*atanh(c + d*x))**3/(e + f*x)**2, x)","F",0
50,-1,0,0,0.000000," ","integrate((f*x+e)**m*(a+b*atanh(d*x+c))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
51,-1,0,0,0.000000," ","integrate((f*x+e)**m*(a+b*atanh(d*x+c))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
52,0,0,0,0.000000," ","integrate((f*x+e)**m*(a+b*atanh(d*x+c)),x)","\int \left(a + b \operatorname{atanh}{\left(c + d x \right)}\right) \left(e + f x\right)^{m}\, dx"," ",0,"Integral((a + b*atanh(c + d*x))*(e + f*x)**m, x)","F",0
53,-1,0,0,0.000000," ","integrate(atanh(b*x+a)/(d*x**3+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
54,-1,0,0,0.000000," ","integrate(atanh(b*x+a)/(d*x**2+c),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
55,0,0,0,0.000000," ","integrate(atanh(b*x+a)/(d*x+c),x)","\int \frac{\operatorname{atanh}{\left(a + b x \right)}}{c + d x}\, dx"," ",0,"Integral(atanh(a + b*x)/(c + d*x), x)","F",0
56,0,0,0,0.000000," ","integrate(atanh(b*x+a)/(c+d/x),x)","\int \frac{x \operatorname{atanh}{\left(a + b x \right)}}{c x + d}\, dx"," ",0,"Integral(x*atanh(a + b*x)/(c*x + d), x)","F",0
57,-1,0,0,0.000000," ","integrate(atanh(b*x+a)/(c+d/x**2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
58,-1,0,0,0.000000," ","integrate(atanh(b*x+a)/(c+d/x**3),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
59,-1,0,0,0.000000," ","integrate(atanh(b*x+a)/(c+d*x**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
60,-1,0,0,0.000000," ","integrate(atanh(b*x+a)/(c+d/x**(1/2)),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
61,-1,0,0,0.000000," ","integrate(atanh(e*x+d)/(c*x**2+b*x+a),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
62,0,0,0,0.000000," ","integrate((d*e*x+c*e)*(a+b*atanh(d*x+c))/(1-(d*x+c)**2),x)","- e \left(\int \frac{a c}{c^{2} + 2 c d x + d^{2} x^{2} - 1}\, dx + \int \frac{a d x}{c^{2} + 2 c d x + d^{2} x^{2} - 1}\, dx + \int \frac{b c \operatorname{atanh}{\left(c + d x \right)}}{c^{2} + 2 c d x + d^{2} x^{2} - 1}\, dx + \int \frac{b d x \operatorname{atanh}{\left(c + d x \right)}}{c^{2} + 2 c d x + d^{2} x^{2} - 1}\, dx\right)"," ",0,"-e*(Integral(a*c/(c**2 + 2*c*d*x + d**2*x**2 - 1), x) + Integral(a*d*x/(c**2 + 2*c*d*x + d**2*x**2 - 1), x) + Integral(b*c*atanh(c + d*x)/(c**2 + 2*c*d*x + d**2*x**2 - 1), x) + Integral(b*d*x*atanh(c + d*x)/(c**2 + 2*c*d*x + d**2*x**2 - 1), x))","F",0
