1,0,0,0,0.000000," ","integrate(x**2*sin(a+b*ln(c*x**n)),x)","\begin{cases} \int x^{2} \sin{\left(a - \frac{3 i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{3 i}{n} \\\int x^{2} \sin{\left(a + \frac{3 i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{3 i}{n} \\- \frac{b n x^{3} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + 9} + \frac{3 x^{3} \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + 9} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(x**2*sin(a - 3*I*log(c*x**n)/n), x), Eq(b, -3*I/n)), (Integral(x**2*sin(a + 3*I*log(c*x**n)/n), x), Eq(b, 3*I/n)), (-b*n*x**3*cos(a + b*n*log(x) + b*log(c))/(b**2*n**2 + 9) + 3*x**3*sin(a + b*n*log(x) + b*log(c))/(b**2*n**2 + 9), True))","F",0
2,0,0,0,0.000000," ","integrate(x*sin(a+b*ln(c*x**n)),x)","\begin{cases} \int x \sin{\left(a - \frac{2 i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{2 i}{n} \\\int x \sin{\left(a + \frac{2 i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{2 i}{n} \\- \frac{b n x^{2} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + 4} + \frac{2 x^{2} \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + 4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(x*sin(a - 2*I*log(c*x**n)/n), x), Eq(b, -2*I/n)), (Integral(x*sin(a + 2*I*log(c*x**n)/n), x), Eq(b, 2*I/n)), (-b*n*x**2*cos(a + b*n*log(x) + b*log(c))/(b**2*n**2 + 4) + 2*x**2*sin(a + b*n*log(x) + b*log(c))/(b**2*n**2 + 4), True))","F",0
3,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n)),x)","\begin{cases} \int \sin{\left(a - \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{i}{n} \\\int \sin{\left(a + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{i}{n} \\- \frac{b n x \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + 1} + \frac{x \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(sin(a - I*log(c*x**n)/n), x), Eq(b, -I/n)), (Integral(sin(a + I*log(c*x**n)/n), x), Eq(b, I/n)), (-b*n*x*cos(a + b*n*log(x) + b*log(c))/(b**2*n**2 + 1) + x*sin(a + b*n*log(x) + b*log(c))/(b**2*n**2 + 1), True))","F",0
4,1,39,0,0.943198," ","integrate(sin(a+b*ln(c*x**n))/x,x)","\begin{cases} \log{\left(x \right)} \sin{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \sin{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\- \frac{\cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*sin(a), Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*sin(a + b*log(c)), Eq(n, 0)), (-cos(a + b*n*log(x) + b*log(c))/(b*n), True))","A",0
5,1,287,0,7.538462," ","integrate(sin(a+b*ln(c*x**n))/x**2,x)","\begin{cases} - \frac{\log{\left(x \right)} \sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x} - \frac{i \log{\left(x \right)} \cos{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x} + \frac{\sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x} - \frac{\log{\left(c \right)} \sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 n x} - \frac{i \log{\left(c \right)} \cos{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 n x} & \text{for}\: b = - \frac{i}{n} \\\frac{\log{\left(x \right)} \sin{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x} + \frac{i \log{\left(x \right)} \cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x} + \frac{i \cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x} + \frac{\log{\left(c \right)} \sin{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 n x} + \frac{i \log{\left(c \right)} \cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 n x} & \text{for}\: b = \frac{i}{n} \\- \frac{b n \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} x + x} - \frac{\sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} x + x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-log(x)*sin(-a + I*log(x) + I*log(c)/n)/(2*x) - I*log(x)*cos(-a + I*log(x) + I*log(c)/n)/(2*x) + sin(-a + I*log(x) + I*log(c)/n)/(2*x) - log(c)*sin(-a + I*log(x) + I*log(c)/n)/(2*n*x) - I*log(c)*cos(-a + I*log(x) + I*log(c)/n)/(2*n*x), Eq(b, -I/n)), (log(x)*sin(a + I*log(x) + I*log(c)/n)/(2*x) + I*log(x)*cos(a + I*log(x) + I*log(c)/n)/(2*x) + I*cos(a + I*log(x) + I*log(c)/n)/(2*x) + log(c)*sin(a + I*log(x) + I*log(c)/n)/(2*n*x) + I*log(c)*cos(a + I*log(x) + I*log(c)/n)/(2*n*x), Eq(b, I/n)), (-b*n*cos(a + b*n*log(x) + b*log(c))/(b**2*n**2*x + x) - sin(a + b*n*log(x) + b*log(c))/(b**2*n**2*x + x), True))","A",0
6,1,352,0,24.892920," ","integrate(sin(a+b*ln(c*x**n))/x**3,x)","\begin{cases} - \frac{\log{\left(x \right)} \sin{\left(- a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{2 x^{2}} - \frac{i \log{\left(x \right)} \cos{\left(- a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{2 x^{2}} + \frac{\sin{\left(- a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{4 x^{2}} - \frac{\log{\left(c \right)} \sin{\left(- a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{2 n x^{2}} - \frac{i \log{\left(c \right)} \cos{\left(- a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{2 n x^{2}} & \text{for}\: b = - \frac{2 i}{n} \\\frac{\log{\left(x \right)} \sin{\left(a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{2 x^{2}} + \frac{i \log{\left(x \right)} \cos{\left(a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{2 x^{2}} - \frac{\sin{\left(a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{4 x^{2}} + \frac{\log{\left(c \right)} \sin{\left(a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{2 n x^{2}} + \frac{i \log{\left(c \right)} \cos{\left(a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{2 n x^{2}} & \text{for}\: b = \frac{2 i}{n} \\- \frac{b n \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} x^{2} + 4 x^{2}} - \frac{2 \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} x^{2} + 4 x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-log(x)*sin(-a + 2*I*log(x) + 2*I*log(c)/n)/(2*x**2) - I*log(x)*cos(-a + 2*I*log(x) + 2*I*log(c)/n)/(2*x**2) + sin(-a + 2*I*log(x) + 2*I*log(c)/n)/(4*x**2) - log(c)*sin(-a + 2*I*log(x) + 2*I*log(c)/n)/(2*n*x**2) - I*log(c)*cos(-a + 2*I*log(x) + 2*I*log(c)/n)/(2*n*x**2), Eq(b, -2*I/n)), (log(x)*sin(a + 2*I*log(x) + 2*I*log(c)/n)/(2*x**2) + I*log(x)*cos(a + 2*I*log(x) + 2*I*log(c)/n)/(2*x**2) - sin(a + 2*I*log(x) + 2*I*log(c)/n)/(4*x**2) + log(c)*sin(a + 2*I*log(x) + 2*I*log(c)/n)/(2*n*x**2) + I*log(c)*cos(a + 2*I*log(x) + 2*I*log(c)/n)/(2*n*x**2), Eq(b, 2*I/n)), (-b*n*cos(a + b*n*log(x) + b*log(c))/(b**2*n**2*x**2 + 4*x**2) - 2*sin(a + b*n*log(x) + b*log(c))/(b**2*n**2*x**2 + 4*x**2), True))","A",0
7,-1,0,0,0.000000," ","integrate(x**2*sin(a+b*ln(c*x**n))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,0,0,0,0.000000," ","integrate(x*sin(a+b*ln(c*x**n))**2,x)","\begin{cases} \int x \sin^{2}{\left(a - \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{i}{n} \\\int x \sin^{2}{\left(a + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{i}{n} \\\frac{b^{2} n^{2} x^{2} \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 4} + \frac{b^{2} n^{2} x^{2} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 4} - \frac{2 b n x^{2} \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 4} + \frac{2 x^{2} \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(x*sin(a - I*log(c*x**n)/n)**2, x), Eq(b, -I/n)), (Integral(x*sin(a + I*log(c*x**n)/n)**2, x), Eq(b, I/n)), (b**2*n**2*x**2*sin(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 + 4) + b**2*n**2*x**2*cos(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 + 4) - 2*b*n*x**2*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))/(4*b**2*n**2 + 4) + 2*x**2*sin(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 + 4), True))","F",0
9,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**2,x)","\begin{cases} \int \sin^{2}{\left(a - \frac{i \log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = - \frac{i}{2 n} \\\int \sin^{2}{\left(a + \frac{i \log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = \frac{i}{2 n} \\\frac{2 b^{2} n^{2} x \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 1} + \frac{2 b^{2} n^{2} x \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 1} - \frac{2 b n x \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 1} + \frac{x \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(sin(a - I*log(c*x**n)/(2*n))**2, x), Eq(b, -I/(2*n))), (Integral(sin(a + I*log(c*x**n)/(2*n))**2, x), Eq(b, I/(2*n))), (2*b**2*n**2*x*sin(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 + 1) + 2*b**2*n**2*x*cos(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 + 1) - 2*b*n*x*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))/(4*b**2*n**2 + 1) + x*sin(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 + 1), True))","F",0
10,1,56,0,3.870184," ","integrate(sin(a+b*ln(c*x**n))**2/x,x)","- \frac{\begin{cases} \log{\left(x \right)} \cos{\left(2 a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \cos{\left(2 a + 2 b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{\sin{\left(2 a + 2 b n \log{\left(x \right)} + 2 b \log{\left(c \right)} \right)}}{2 b n} & \text{otherwise} \end{cases}}{2} + \frac{\log{\left(x \right)}}{2}"," ",0,"-Piecewise((log(x)*cos(2*a), Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*cos(2*a + 2*b*log(c)), Eq(n, 0)), (sin(2*a + 2*b*n*log(x) + 2*b*log(c))/(2*b*n), True))/2 + log(x)/2","A",0
11,1,415,0,24.231462," ","integrate(sin(a+b*ln(c*x**n))**2/x**2,x)","\begin{cases} \frac{i \log{\left(x \right)} \sin{\left(- 2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x} - \frac{\log{\left(x \right)} \cos{\left(- 2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x} + \frac{i \sin{\left(- 2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x} - \frac{1}{2 x} + \frac{i \log{\left(c \right)} \sin{\left(- 2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 n x} - \frac{\log{\left(c \right)} \cos{\left(- 2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 n x} & \text{for}\: b = - \frac{i}{2 n} \\\frac{i \log{\left(x \right)} \sin{\left(2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x} - \frac{\log{\left(x \right)} \cos{\left(2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x} + \frac{\cos{\left(2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x} - \frac{1}{2 x} + \frac{i \log{\left(c \right)} \sin{\left(2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 n x} - \frac{\log{\left(c \right)} \cos{\left(2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 n x} & \text{for}\: b = \frac{i}{2 n} \\- \frac{2 b^{2} n^{2} \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} x + x} - \frac{2 b^{2} n^{2} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} x + x} - \frac{2 b n \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} x + x} - \frac{\sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} x + x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((I*log(x)*sin(-2*a + I*log(x) + I*log(c)/n)/(4*x) - log(x)*cos(-2*a + I*log(x) + I*log(c)/n)/(4*x) + I*sin(-2*a + I*log(x) + I*log(c)/n)/(4*x) - 1/(2*x) + I*log(c)*sin(-2*a + I*log(x) + I*log(c)/n)/(4*n*x) - log(c)*cos(-2*a + I*log(x) + I*log(c)/n)/(4*n*x), Eq(b, -I/(2*n))), (I*log(x)*sin(2*a + I*log(x) + I*log(c)/n)/(4*x) - log(x)*cos(2*a + I*log(x) + I*log(c)/n)/(4*x) + cos(2*a + I*log(x) + I*log(c)/n)/(4*x) - 1/(2*x) + I*log(c)*sin(2*a + I*log(x) + I*log(c)/n)/(4*n*x) - log(c)*cos(2*a + I*log(x) + I*log(c)/n)/(4*n*x), Eq(b, I/(2*n))), (-2*b**2*n**2*sin(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2*x + x) - 2*b**2*n**2*cos(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2*x + x) - 2*b*n*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))/(4*b**2*n**2*x + x) - sin(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2*x + x), True))","A",0
12,1,672,0,25.802140," ","integrate(sin(a+b*ln(c*x**n))**2/x**3,x)","\begin{cases} \frac{\log{\left(x \right)} \sin^{2}{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x^{2}} + \frac{i \log{\left(x \right)} \sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)} \cos{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x^{2}} - \frac{\log{\left(x \right)} \cos^{2}{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x^{2}} - \frac{\sin^{2}{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x^{2}} - \frac{i \sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)} \cos{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x^{2}} + \frac{\log{\left(c \right)} \sin^{2}{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 n x^{2}} + \frac{i \log{\left(c \right)} \sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)} \cos{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 n x^{2}} - \frac{\log{\left(c \right)} \cos^{2}{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 n x^{2}} & \text{for}\: b = - \frac{i}{n} \\\frac{\log{\left(x \right)} \sin^{2}{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x^{2}} + \frac{i \log{\left(x \right)} \sin{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)} \cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x^{2}} - \frac{\log{\left(x \right)} \cos^{2}{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x^{2}} + \frac{3 i \sin{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)} \cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x^{2}} - \frac{\cos^{2}{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x^{2}} + \frac{\log{\left(c \right)} \sin^{2}{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 n x^{2}} + \frac{i \log{\left(c \right)} \sin{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)} \cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 n x^{2}} - \frac{\log{\left(c \right)} \cos^{2}{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 n x^{2}} & \text{for}\: b = \frac{i}{n} \\- \frac{b^{2} n^{2} \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} x^{2} + 4 x^{2}} - \frac{b^{2} n^{2} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} x^{2} + 4 x^{2}} - \frac{2 b n \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} x^{2} + 4 x^{2}} - \frac{2 \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} x^{2} + 4 x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*sin(-a + I*log(x) + I*log(c)/n)**2/(4*x**2) + I*log(x)*sin(-a + I*log(x) + I*log(c)/n)*cos(-a + I*log(x) + I*log(c)/n)/(2*x**2) - log(x)*cos(-a + I*log(x) + I*log(c)/n)**2/(4*x**2) - sin(-a + I*log(x) + I*log(c)/n)**2/(2*x**2) - I*sin(-a + I*log(x) + I*log(c)/n)*cos(-a + I*log(x) + I*log(c)/n)/(4*x**2) + log(c)*sin(-a + I*log(x) + I*log(c)/n)**2/(4*n*x**2) + I*log(c)*sin(-a + I*log(x) + I*log(c)/n)*cos(-a + I*log(x) + I*log(c)/n)/(2*n*x**2) - log(c)*cos(-a + I*log(x) + I*log(c)/n)**2/(4*n*x**2), Eq(b, -I/n)), (log(x)*sin(a + I*log(x) + I*log(c)/n)**2/(4*x**2) + I*log(x)*sin(a + I*log(x) + I*log(c)/n)*cos(a + I*log(x) + I*log(c)/n)/(2*x**2) - log(x)*cos(a + I*log(x) + I*log(c)/n)**2/(4*x**2) + 3*I*sin(a + I*log(x) + I*log(c)/n)*cos(a + I*log(x) + I*log(c)/n)/(4*x**2) - cos(a + I*log(x) + I*log(c)/n)**2/(2*x**2) + log(c)*sin(a + I*log(x) + I*log(c)/n)**2/(4*n*x**2) + I*log(c)*sin(a + I*log(x) + I*log(c)/n)*cos(a + I*log(x) + I*log(c)/n)/(2*n*x**2) - log(c)*cos(a + I*log(x) + I*log(c)/n)**2/(4*n*x**2), Eq(b, I/n)), (-b**2*n**2*sin(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2*x**2 + 4*x**2) - b**2*n**2*cos(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2*x**2 + 4*x**2) - 2*b*n*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))/(4*b**2*n**2*x**2 + 4*x**2) - 2*sin(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2*x**2 + 4*x**2), True))","A",0
13,-1,0,0,0.000000," ","integrate(x**2*sin(a+b*ln(c*x**n))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
14,-1,0,0,0.000000," ","integrate(x*sin(a+b*ln(c*x**n))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**3,x)","\begin{cases} \int \sin^{3}{\left(a - \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{i}{n} \\\int \sin^{3}{\left(a - \frac{i \log{\left(c x^{n} \right)}}{3 n} \right)}\, dx & \text{for}\: b = - \frac{i}{3 n} \\\int \sin^{3}{\left(a + \frac{i \log{\left(c x^{n} \right)}}{3 n} \right)}\, dx & \text{for}\: b = \frac{i}{3 n} \\\int \sin^{3}{\left(a + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{i}{n} \\- \frac{9 b^{3} n^{3} x \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} + 10 b^{2} n^{2} + 1} - \frac{6 b^{3} n^{3} x \cos^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} + 10 b^{2} n^{2} + 1} + \frac{7 b^{2} n^{2} x \sin^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} + 10 b^{2} n^{2} + 1} + \frac{6 b^{2} n^{2} x \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} + 10 b^{2} n^{2} + 1} - \frac{3 b n x \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} + 10 b^{2} n^{2} + 1} + \frac{x \sin^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} + 10 b^{2} n^{2} + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(sin(a - I*log(c*x**n)/n)**3, x), Eq(b, -I/n)), (Integral(sin(a - I*log(c*x**n)/(3*n))**3, x), Eq(b, -I/(3*n))), (Integral(sin(a + I*log(c*x**n)/(3*n))**3, x), Eq(b, I/(3*n))), (Integral(sin(a + I*log(c*x**n)/n)**3, x), Eq(b, I/n)), (-9*b**3*n**3*x*sin(a + b*n*log(x) + b*log(c))**2*cos(a + b*n*log(x) + b*log(c))/(9*b**4*n**4 + 10*b**2*n**2 + 1) - 6*b**3*n**3*x*cos(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4 + 10*b**2*n**2 + 1) + 7*b**2*n**2*x*sin(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4 + 10*b**2*n**2 + 1) + 6*b**2*n**2*x*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))**2/(9*b**4*n**4 + 10*b**2*n**2 + 1) - 3*b*n*x*sin(a + b*n*log(x) + b*log(c))**2*cos(a + b*n*log(x) + b*log(c))/(9*b**4*n**4 + 10*b**2*n**2 + 1) + x*sin(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4 + 10*b**2*n**2 + 1), True))","F",0
16,1,83,0,10.951322," ","integrate(sin(a+b*ln(c*x**n))**3/x,x)","\begin{cases} \log{\left(x \right)} \sin^{3}{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \sin^{3}{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\- \frac{\sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b n} - \frac{2 \cos^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{3 b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*sin(a)**3, Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*sin(a + b*log(c))**3, Eq(n, 0)), (-sin(a + b*n*log(x) + b*log(c))**2*cos(a + b*n*log(x) + b*log(c))/(b*n) - 2*cos(a + b*n*log(x) + b*log(c))**3/(3*b*n), True))","A",0
17,1,1020,0,125.896563," ","integrate(sin(a+b*ln(c*x**n))**3/x**2,x)","\begin{cases} - \frac{3 \log{\left(x \right)} \sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} - \frac{3 i \log{\left(x \right)} \cos{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} + \frac{\sin{\left(- 3 a + 3 i \log{\left(x \right)} + \frac{3 i \log{\left(c \right)}}{n} \right)}}{32 x} + \frac{3 \sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} + \frac{3 i \cos{\left(- 3 a + 3 i \log{\left(x \right)} + \frac{3 i \log{\left(c \right)}}{n} \right)}}{32 x} - \frac{3 \log{\left(c \right)} \sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} - \frac{3 i \log{\left(c \right)} \cos{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} & \text{for}\: b = - \frac{i}{n} \\\frac{\log{\left(x \right)} \sin{\left(- 3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} + \frac{i \log{\left(x \right)} \cos{\left(- 3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} - \frac{\sin{\left(- 3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} + \frac{27 \sin{\left(- a + \frac{i \log{\left(x \right)}}{3} + \frac{i \log{\left(c \right)}}{3 n} \right)}}{32 x} + \frac{9 i \cos{\left(- a + \frac{i \log{\left(x \right)}}{3} + \frac{i \log{\left(c \right)}}{3 n} \right)}}{32 x} + \frac{\log{\left(c \right)} \sin{\left(- 3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} + \frac{i \log{\left(c \right)} \cos{\left(- 3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} & \text{for}\: b = - \frac{i}{3 n} \\- \frac{\log{\left(x \right)} \sin{\left(3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} - \frac{i \log{\left(x \right)} \cos{\left(3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} - \frac{27 \sin{\left(a + \frac{i \log{\left(x \right)}}{3} + \frac{i \log{\left(c \right)}}{3 n} \right)}}{32 x} + \frac{\sin{\left(3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} - \frac{9 i \cos{\left(a + \frac{i \log{\left(x \right)}}{3} + \frac{i \log{\left(c \right)}}{3 n} \right)}}{32 x} - \frac{\log{\left(c \right)} \sin{\left(3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} - \frac{i \log{\left(c \right)} \cos{\left(3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} & \text{for}\: b = \frac{i}{3 n} \\\frac{3 \log{\left(x \right)} \sin{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} + \frac{3 i \log{\left(x \right)} \cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} - \frac{\sin{\left(3 a + 3 i \log{\left(x \right)} + \frac{3 i \log{\left(c \right)}}{n} \right)}}{32 x} + \frac{3 i \cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} - \frac{3 i \cos{\left(3 a + 3 i \log{\left(x \right)} + \frac{3 i \log{\left(c \right)}}{n} \right)}}{32 x} + \frac{3 \log{\left(c \right)} \sin{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} + \frac{3 i \log{\left(c \right)} \cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} & \text{for}\: b = \frac{i}{n} \\- \frac{9 b^{3} n^{3} \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x + 10 b^{2} n^{2} x + x} - \frac{6 b^{3} n^{3} \cos^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x + 10 b^{2} n^{2} x + x} - \frac{7 b^{2} n^{2} \sin^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x + 10 b^{2} n^{2} x + x} - \frac{6 b^{2} n^{2} \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x + 10 b^{2} n^{2} x + x} - \frac{3 b n \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x + 10 b^{2} n^{2} x + x} - \frac{\sin^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x + 10 b^{2} n^{2} x + x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*log(x)*sin(-a + I*log(x) + I*log(c)/n)/(8*x) - 3*I*log(x)*cos(-a + I*log(x) + I*log(c)/n)/(8*x) + sin(-3*a + 3*I*log(x) + 3*I*log(c)/n)/(32*x) + 3*sin(-a + I*log(x) + I*log(c)/n)/(8*x) + 3*I*cos(-3*a + 3*I*log(x) + 3*I*log(c)/n)/(32*x) - 3*log(c)*sin(-a + I*log(x) + I*log(c)/n)/(8*n*x) - 3*I*log(c)*cos(-a + I*log(x) + I*log(c)/n)/(8*n*x), Eq(b, -I/n)), (log(x)*sin(-3*a + I*log(x) + I*log(c)/n)/(8*x) + I*log(x)*cos(-3*a + I*log(x) + I*log(c)/n)/(8*x) - sin(-3*a + I*log(x) + I*log(c)/n)/(8*x) + 27*sin(-a + I*log(x)/3 + I*log(c)/(3*n))/(32*x) + 9*I*cos(-a + I*log(x)/3 + I*log(c)/(3*n))/(32*x) + log(c)*sin(-3*a + I*log(x) + I*log(c)/n)/(8*n*x) + I*log(c)*cos(-3*a + I*log(x) + I*log(c)/n)/(8*n*x), Eq(b, -I/(3*n))), (-log(x)*sin(3*a + I*log(x) + I*log(c)/n)/(8*x) - I*log(x)*cos(3*a + I*log(x) + I*log(c)/n)/(8*x) - 27*sin(a + I*log(x)/3 + I*log(c)/(3*n))/(32*x) + sin(3*a + I*log(x) + I*log(c)/n)/(8*x) - 9*I*cos(a + I*log(x)/3 + I*log(c)/(3*n))/(32*x) - log(c)*sin(3*a + I*log(x) + I*log(c)/n)/(8*n*x) - I*log(c)*cos(3*a + I*log(x) + I*log(c)/n)/(8*n*x), Eq(b, I/(3*n))), (3*log(x)*sin(a + I*log(x) + I*log(c)/n)/(8*x) + 3*I*log(x)*cos(a + I*log(x) + I*log(c)/n)/(8*x) - sin(3*a + 3*I*log(x) + 3*I*log(c)/n)/(32*x) + 3*I*cos(a + I*log(x) + I*log(c)/n)/(8*x) - 3*I*cos(3*a + 3*I*log(x) + 3*I*log(c)/n)/(32*x) + 3*log(c)*sin(a + I*log(x) + I*log(c)/n)/(8*n*x) + 3*I*log(c)*cos(a + I*log(x) + I*log(c)/n)/(8*n*x), Eq(b, I/n)), (-9*b**3*n**3*sin(a + b*n*log(x) + b*log(c))**2*cos(a + b*n*log(x) + b*log(c))/(9*b**4*n**4*x + 10*b**2*n**2*x + x) - 6*b**3*n**3*cos(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4*x + 10*b**2*n**2*x + x) - 7*b**2*n**2*sin(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4*x + 10*b**2*n**2*x + x) - 6*b**2*n**2*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))**2/(9*b**4*n**4*x + 10*b**2*n**2*x + x) - 3*b*n*sin(a + b*n*log(x) + b*log(c))**2*cos(a + b*n*log(x) + b*log(c))/(9*b**4*n**4*x + 10*b**2*n**2*x + x) - sin(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4*x + 10*b**2*n**2*x + x), True))","B",0
18,1,1197,0,160.477132," ","integrate(sin(a+b*ln(c*x**n))**3/x**3,x)","\begin{cases} - \frac{3 \log{\left(x \right)} \sin{\left(- a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 x^{2}} - \frac{3 i \log{\left(x \right)} \cos{\left(- a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 x^{2}} + \frac{\sin{\left(- 3 a + 6 i \log{\left(x \right)} + \frac{6 i \log{\left(c \right)}}{n} \right)}}{64 x^{2}} + \frac{3 \sin{\left(- a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{16 x^{2}} + \frac{3 i \cos{\left(- 3 a + 6 i \log{\left(x \right)} + \frac{6 i \log{\left(c \right)}}{n} \right)}}{64 x^{2}} - \frac{3 \log{\left(c \right)} \sin{\left(- a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 n x^{2}} - \frac{3 i \log{\left(c \right)} \cos{\left(- a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 n x^{2}} & \text{for}\: b = - \frac{2 i}{n} \\\frac{\log{\left(x \right)} \sin{\left(- 3 a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 x^{2}} + \frac{i \log{\left(x \right)} \cos{\left(- 3 a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 x^{2}} - \frac{\sin{\left(- 3 a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{16 x^{2}} + \frac{27 \sin{\left(- a + \frac{2 i \log{\left(x \right)}}{3} + \frac{2 i \log{\left(c \right)}}{3 n} \right)}}{64 x^{2}} + \frac{9 i \cos{\left(- a + \frac{2 i \log{\left(x \right)}}{3} + \frac{2 i \log{\left(c \right)}}{3 n} \right)}}{64 x^{2}} + \frac{\log{\left(c \right)} \sin{\left(- 3 a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 n x^{2}} + \frac{i \log{\left(c \right)} \cos{\left(- 3 a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 n x^{2}} & \text{for}\: b = - \frac{2 i}{3 n} \\- \frac{\log{\left(x \right)} \sin{\left(3 a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 x^{2}} - \frac{i \log{\left(x \right)} \cos{\left(3 a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 x^{2}} - \frac{27 \sin{\left(a + \frac{2 i \log{\left(x \right)}}{3} + \frac{2 i \log{\left(c \right)}}{3 n} \right)}}{64 x^{2}} + \frac{\sin{\left(3 a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{16 x^{2}} - \frac{9 i \cos{\left(a + \frac{2 i \log{\left(x \right)}}{3} + \frac{2 i \log{\left(c \right)}}{3 n} \right)}}{64 x^{2}} - \frac{\log{\left(c \right)} \sin{\left(3 a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 n x^{2}} - \frac{i \log{\left(c \right)} \cos{\left(3 a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 n x^{2}} & \text{for}\: b = \frac{2 i}{3 n} \\\frac{3 \log{\left(x \right)} \sin{\left(a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 x^{2}} + \frac{3 i \log{\left(x \right)} \cos{\left(a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 x^{2}} - \frac{3 \sin{\left(a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{16 x^{2}} - \frac{\sin{\left(3 a + 6 i \log{\left(x \right)} + \frac{6 i \log{\left(c \right)}}{n} \right)}}{64 x^{2}} - \frac{3 i \cos{\left(3 a + 6 i \log{\left(x \right)} + \frac{6 i \log{\left(c \right)}}{n} \right)}}{64 x^{2}} + \frac{3 \log{\left(c \right)} \sin{\left(a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 n x^{2}} + \frac{3 i \log{\left(c \right)} \cos{\left(a + 2 i \log{\left(x \right)} + \frac{2 i \log{\left(c \right)}}{n} \right)}}{8 n x^{2}} & \text{for}\: b = \frac{2 i}{n} \\- \frac{9 b^{3} n^{3} \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x^{2} + 40 b^{2} n^{2} x^{2} + 16 x^{2}} - \frac{6 b^{3} n^{3} \cos^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x^{2} + 40 b^{2} n^{2} x^{2} + 16 x^{2}} - \frac{14 b^{2} n^{2} \sin^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x^{2} + 40 b^{2} n^{2} x^{2} + 16 x^{2}} - \frac{12 b^{2} n^{2} \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x^{2} + 40 b^{2} n^{2} x^{2} + 16 x^{2}} - \frac{12 b n \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x^{2} + 40 b^{2} n^{2} x^{2} + 16 x^{2}} - \frac{8 \sin^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x^{2} + 40 b^{2} n^{2} x^{2} + 16 x^{2}} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*log(x)*sin(-a + 2*I*log(x) + 2*I*log(c)/n)/(8*x**2) - 3*I*log(x)*cos(-a + 2*I*log(x) + 2*I*log(c)/n)/(8*x**2) + sin(-3*a + 6*I*log(x) + 6*I*log(c)/n)/(64*x**2) + 3*sin(-a + 2*I*log(x) + 2*I*log(c)/n)/(16*x**2) + 3*I*cos(-3*a + 6*I*log(x) + 6*I*log(c)/n)/(64*x**2) - 3*log(c)*sin(-a + 2*I*log(x) + 2*I*log(c)/n)/(8*n*x**2) - 3*I*log(c)*cos(-a + 2*I*log(x) + 2*I*log(c)/n)/(8*n*x**2), Eq(b, -2*I/n)), (log(x)*sin(-3*a + 2*I*log(x) + 2*I*log(c)/n)/(8*x**2) + I*log(x)*cos(-3*a + 2*I*log(x) + 2*I*log(c)/n)/(8*x**2) - sin(-3*a + 2*I*log(x) + 2*I*log(c)/n)/(16*x**2) + 27*sin(-a + 2*I*log(x)/3 + 2*I*log(c)/(3*n))/(64*x**2) + 9*I*cos(-a + 2*I*log(x)/3 + 2*I*log(c)/(3*n))/(64*x**2) + log(c)*sin(-3*a + 2*I*log(x) + 2*I*log(c)/n)/(8*n*x**2) + I*log(c)*cos(-3*a + 2*I*log(x) + 2*I*log(c)/n)/(8*n*x**2), Eq(b, -2*I/(3*n))), (-log(x)*sin(3*a + 2*I*log(x) + 2*I*log(c)/n)/(8*x**2) - I*log(x)*cos(3*a + 2*I*log(x) + 2*I*log(c)/n)/(8*x**2) - 27*sin(a + 2*I*log(x)/3 + 2*I*log(c)/(3*n))/(64*x**2) + sin(3*a + 2*I*log(x) + 2*I*log(c)/n)/(16*x**2) - 9*I*cos(a + 2*I*log(x)/3 + 2*I*log(c)/(3*n))/(64*x**2) - log(c)*sin(3*a + 2*I*log(x) + 2*I*log(c)/n)/(8*n*x**2) - I*log(c)*cos(3*a + 2*I*log(x) + 2*I*log(c)/n)/(8*n*x**2), Eq(b, 2*I/(3*n))), (3*log(x)*sin(a + 2*I*log(x) + 2*I*log(c)/n)/(8*x**2) + 3*I*log(x)*cos(a + 2*I*log(x) + 2*I*log(c)/n)/(8*x**2) - 3*sin(a + 2*I*log(x) + 2*I*log(c)/n)/(16*x**2) - sin(3*a + 6*I*log(x) + 6*I*log(c)/n)/(64*x**2) - 3*I*cos(3*a + 6*I*log(x) + 6*I*log(c)/n)/(64*x**2) + 3*log(c)*sin(a + 2*I*log(x) + 2*I*log(c)/n)/(8*n*x**2) + 3*I*log(c)*cos(a + 2*I*log(x) + 2*I*log(c)/n)/(8*n*x**2), Eq(b, 2*I/n)), (-9*b**3*n**3*sin(a + b*n*log(x) + b*log(c))**2*cos(a + b*n*log(x) + b*log(c))/(9*b**4*n**4*x**2 + 40*b**2*n**2*x**2 + 16*x**2) - 6*b**3*n**3*cos(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4*x**2 + 40*b**2*n**2*x**2 + 16*x**2) - 14*b**2*n**2*sin(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4*x**2 + 40*b**2*n**2*x**2 + 16*x**2) - 12*b**2*n**2*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))**2/(9*b**4*n**4*x**2 + 40*b**2*n**2*x**2 + 16*x**2) - 12*b*n*sin(a + b*n*log(x) + b*log(c))**2*cos(a + b*n*log(x) + b*log(c))/(9*b**4*n**4*x**2 + 40*b**2*n**2*x**2 + 16*x**2) - 8*sin(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4*x**2 + 40*b**2*n**2*x**2 + 16*x**2), True))","B",0
19,-1,0,0,0.000000," ","integrate(x**2*sin(a+b*ln(c*x**n))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
20,-1,0,0,0.000000," ","integrate(x*sin(a+b*ln(c*x**n))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,-1,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
22,1,110,0,22.744093," ","integrate(sin(a+b*ln(c*x**n))**4/x,x)","- \frac{\begin{cases} \log{\left(x \right)} \cos{\left(2 a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \cos{\left(2 a + 2 b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{\sin{\left(2 a + 2 b n \log{\left(x \right)} + 2 b \log{\left(c \right)} \right)}}{2 b n} & \text{otherwise} \end{cases}}{2} + \frac{\begin{cases} \log{\left(x \right)} \cos{\left(4 a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \cos{\left(4 a + 4 b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{\sin{\left(4 a + 4 b n \log{\left(x \right)} + 4 b \log{\left(c \right)} \right)}}{4 b n} & \text{otherwise} \end{cases}}{8} + \frac{3 \log{\left(x \right)}}{8}"," ",0,"-Piecewise((log(x)*cos(2*a), Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*cos(2*a + 2*b*log(c)), Eq(n, 0)), (sin(2*a + 2*b*n*log(x) + 2*b*log(c))/(2*b*n), True))/2 + Piecewise((log(x)*cos(4*a), Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*cos(4*a + 4*b*log(c)), Eq(n, 0)), (sin(4*a + 4*b*n*log(x) + 4*b*log(c))/(4*b*n), True))/8 + 3*log(x)/8","A",0
23,-1,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**4/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
24,-1,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**4/x**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
25,1,56,0,0.703887," ","integrate(sin(ln(b*x+a)),x)","\begin{cases} \frac{a \sin{\left(\log{\left(a + b x \right)} \right)}}{2 b} - \frac{a \cos{\left(\log{\left(a + b x \right)} \right)}}{2 b} + \frac{x \sin{\left(\log{\left(a + b x \right)} \right)}}{2} - \frac{x \cos{\left(\log{\left(a + b x \right)} \right)}}{2} & \text{for}\: b \neq 0 \\x \sin{\left(\log{\left(a \right)} \right)} & \text{otherwise} \end{cases}"," ",0,"Piecewise((a*sin(log(a + b*x))/(2*b) - a*cos(log(a + b*x))/(2*b) + x*sin(log(a + b*x))/2 - x*cos(log(a + b*x))/2, Ne(b, 0)), (x*sin(log(a)), True))","A",0
26,0,0,0,0.000000," ","integrate(x**m*sin(a+ln(c*x**n)*(-(1+m)**2/n**2)**(1/2)),x)","\int x^{m} \sin{\left(a + \sqrt{- \frac{m^{2}}{n^{2}} - \frac{2 m}{n^{2}} - \frac{1}{n^{2}}} \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**m*sin(a + sqrt(-m**2/n**2 - 2*m/n**2 - 1/n**2)*log(c*x**n)), x)","F",0
27,0,0,0,0.000000," ","integrate(x**2*sin(a+3*ln(c*x**n)*(-1/n**2)**(1/2)),x)","\int x^{2} \sin{\left(a + 3 \sqrt{- \frac{1}{n^{2}}} \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**2*sin(a + 3*sqrt(-1/n**2)*log(c*x**n)), x)","F",0
28,0,0,0,0.000000," ","integrate(x*sin(a+2*ln(c*x**n)*(-1/n**2)**(1/2)),x)","\int x \sin{\left(a + 2 \sqrt{- \frac{1}{n^{2}}} \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*sin(a + 2*sqrt(-1/n**2)*log(c*x**n)), x)","F",0
29,0,0,0,0.000000," ","integrate(sin(a+ln(c*x**n)*(-1/n**2)**(1/2)),x)","\int \sin{\left(a + \sqrt{- \frac{1}{n^{2}}} \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(sin(a + sqrt(-1/n**2)*log(c*x**n)), x)","F",0
30,1,5,0,0.047559," ","integrate(sin(a)/x,x)","\log{\left(x \right)} \sin{\left(a \right)}"," ",0,"log(x)*sin(a)","A",0
31,1,226,0,4.887941," ","integrate(sin(a+ln(c*x**n)*(-1/n**2)**(1/2))/x**2,x)","\frac{i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} \cos{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{2 x} + \frac{i n \sqrt{\frac{1}{n^{2}}} \cos{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{2 x} + \frac{i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \cos{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{2 x} + \frac{\log{\left(x \right)} \sin{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{2 x} + \frac{\log{\left(c \right)} \sin{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{2 n x}"," ",0,"I*n*sqrt(n**(-2))*log(x)*cos(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(2*x) + I*n*sqrt(n**(-2))*cos(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(2*x) + I*sqrt(n**(-2))*log(c)*cos(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(2*x) + log(x)*sin(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(2*x) + log(c)*sin(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(2*n*x)","C",0
32,1,252,0,16.181128," ","integrate(sin(a+2*ln(c*x**n)*(-1/n**2)**(1/2))/x**3,x)","\frac{i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} \cos{\left(a + 2 i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + 2 i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{2 x^{2}} + \frac{i n \sqrt{\frac{1}{n^{2}}} \cos{\left(a + 2 i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + 2 i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{4 x^{2}} + \frac{i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \cos{\left(a + 2 i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + 2 i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{2 x^{2}} + \frac{\log{\left(x \right)} \sin{\left(a + 2 i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + 2 i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{2 x^{2}} + \frac{\log{\left(c \right)} \sin{\left(a + 2 i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + 2 i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{2 n x^{2}}"," ",0,"I*n*sqrt(n**(-2))*log(x)*cos(a + 2*I*n*sqrt(n**(-2))*log(x) + 2*I*sqrt(n**(-2))*log(c))/(2*x**2) + I*n*sqrt(n**(-2))*cos(a + 2*I*n*sqrt(n**(-2))*log(x) + 2*I*sqrt(n**(-2))*log(c))/(4*x**2) + I*sqrt(n**(-2))*log(c)*cos(a + 2*I*n*sqrt(n**(-2))*log(x) + 2*I*sqrt(n**(-2))*log(c))/(2*x**2) + log(x)*sin(a + 2*I*n*sqrt(n**(-2))*log(x) + 2*I*sqrt(n**(-2))*log(c))/(2*x**2) + log(c)*sin(a + 2*I*n*sqrt(n**(-2))*log(x) + 2*I*sqrt(n**(-2))*log(c))/(2*n*x**2)","C",0
33,0,0,0,0.000000," ","integrate(x**m*sin(a+1/2*ln(c*x**n)*(-(1+m)**2/n**2)**(1/2))**2,x)","\int x^{m} \sin^{2}{\left(a + \frac{\sqrt{- \frac{m^{2}}{n^{2}} - \frac{2 m}{n^{2}} - \frac{1}{n^{2}}} \log{\left(c x^{n} \right)}}{2} \right)}\, dx"," ",0,"Integral(x**m*sin(a + sqrt(-m**2/n**2 - 2*m/n**2 - 1/n**2)*log(c*x**n)/2)**2, x)","F",0
34,-1,0,0,0.000000," ","integrate(x**2*sin(a+3/2*ln(c*x**n)*(-1/n**2)**(1/2))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
35,0,0,0,0.000000," ","integrate(x*sin(a+ln(c*x**n)*(-1/n**2)**(1/2))**2,x)","\int x \sin^{2}{\left(a + \sqrt{- \frac{1}{n^{2}}} \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*sin(a + sqrt(-1/n**2)*log(c*x**n))**2, x)","F",0
36,0,0,0,0.000000," ","integrate(sin(a+1/2*ln(c*x**n)*(-1/n**2)**(1/2))**2,x)","\int \sin^{2}{\left(a + \frac{\sqrt{- \frac{1}{n^{2}}} \log{\left(c x^{n} \right)}}{2} \right)}\, dx"," ",0,"Integral(sin(a + sqrt(-1/n**2)*log(c*x**n)/2)**2, x)","F",0
37,1,7,0,0.047939," ","integrate(sin(a)**2/x,x)","\log{\left(x \right)} \sin^{2}{\left(a \right)}"," ",0,"log(x)*sin(a)**2","A",0
38,1,240,0,28.492634," ","integrate(sin(a+1/2*ln(c*x**n)*(-1/n**2)**(1/2))**2/x**2,x)","\frac{i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} \sin{\left(2 a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{4 x} + \frac{i n \sqrt{\frac{1}{n^{2}}} \sin{\left(2 a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{4 x} + \frac{i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \sin{\left(2 a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{4 x} - \frac{\log{\left(x \right)} \cos{\left(2 a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{4 x} - \frac{1}{2 x} - \frac{\log{\left(c \right)} \cos{\left(2 a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{4 n x}"," ",0,"I*n*sqrt(n**(-2))*log(x)*sin(2*a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(4*x) + I*n*sqrt(n**(-2))*sin(2*a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(4*x) + I*sqrt(n**(-2))*log(c)*sin(2*a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(4*x) - log(x)*cos(2*a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(4*x) - 1/(2*x) - log(c)*cos(2*a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(4*n*x)","C",0
39,1,462,0,16.772413," ","integrate(sin(a+ln(c*x**n)*(-1/n**2)**(1/2))**2/x**3,x)","\frac{i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} \sin{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)} \cos{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{2 x^{2}} + \frac{3 i n \sqrt{\frac{1}{n^{2}}} \sin{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)} \cos{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{4 x^{2}} + \frac{i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \sin{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)} \cos{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{2 x^{2}} + \frac{\log{\left(x \right)} \sin^{2}{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{4 x^{2}} - \frac{\log{\left(x \right)} \cos^{2}{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{4 x^{2}} - \frac{\cos^{2}{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{2 x^{2}} + \frac{\log{\left(c \right)} \sin^{2}{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{4 n x^{2}} - \frac{\log{\left(c \right)} \cos^{2}{\left(a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{4 n x^{2}}"," ",0,"I*n*sqrt(n**(-2))*log(x)*sin(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))*cos(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(2*x**2) + 3*I*n*sqrt(n**(-2))*sin(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))*cos(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(4*x**2) + I*sqrt(n**(-2))*log(c)*sin(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))*cos(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(2*x**2) + log(x)*sin(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))**2/(4*x**2) - log(x)*cos(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))**2/(4*x**2) - cos(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))**2/(2*x**2) + log(c)*sin(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))**2/(4*n*x**2) - log(c)*cos(a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))**2/(4*n*x**2)","C",0
40,0,0,0,0.000000," ","integrate(x**m*sin(a+1/2*ln(c*x**n)*(-(1+m)**2/n**2)**(1/2))**3,x)","\int x^{m} \sin^{3}{\left(a + \frac{\sqrt{- \frac{m^{2}}{n^{2}} - \frac{2 m}{n^{2}} - \frac{1}{n^{2}}} \log{\left(c x^{n} \right)}}{2} \right)}\, dx"," ",0,"Integral(x**m*sin(a + sqrt(-m**2/n**2 - 2*m/n**2 - 1/n**2)*log(c*x**n)/2)**3, x)","F",0
41,-1,0,0,0.000000," ","integrate(x**2*sin(a+ln(c*x**n)*(-1/n**2)**(1/2))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
42,-1,0,0,0.000000," ","integrate(x*sin(a+2/3*ln(c*x**n)*(-1/n**2)**(1/2))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
43,0,0,0,0.000000," ","integrate(sin(a+1/3*ln(c*x**n)*(-1/n**2)**(1/2))**3,x)","\int \sin^{3}{\left(a + \frac{\sqrt{- \frac{1}{n^{2}}} \log{\left(c x^{n} \right)}}{3} \right)}\, dx"," ",0,"Integral(sin(a + sqrt(-1/n**2)*log(c*x**n)/3)**3, x)","F",0
44,1,7,0,0.048458," ","integrate(sin(a)**3/x,x)","\log{\left(x \right)} \sin^{3}{\left(a \right)}"," ",0,"log(x)*sin(a)**3","A",0
45,1,316,0,90.205200," ","integrate(sin(a+1/3*ln(c*x**n)*(-1/n**2)**(1/2))**3/x**2,x)","- \frac{i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} \cos{\left(3 a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{8 x} - \frac{9 i n \sqrt{\frac{1}{n^{2}}} \cos{\left(a + \frac{i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)}}{3} + \frac{i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)}}{3} \right)}}{32 x} - \frac{i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \cos{\left(3 a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{8 x} - \frac{\log{\left(x \right)} \sin{\left(3 a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{8 x} - \frac{27 \sin{\left(a + \frac{i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)}}{3} + \frac{i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)}}{3} \right)}}{32 x} + \frac{\sin{\left(3 a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{8 x} - \frac{\log{\left(c \right)} \sin{\left(3 a + i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{8 n x}"," ",0,"-I*n*sqrt(n**(-2))*log(x)*cos(3*a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(8*x) - 9*I*n*sqrt(n**(-2))*cos(a + I*n*sqrt(n**(-2))*log(x)/3 + I*sqrt(n**(-2))*log(c)/3)/(32*x) - I*sqrt(n**(-2))*log(c)*cos(3*a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(8*x) - log(x)*sin(3*a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(8*x) - 27*sin(a + I*n*sqrt(n**(-2))*log(x)/3 + I*sqrt(n**(-2))*log(c)/3)/(32*x) + sin(3*a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(8*x) - log(c)*sin(3*a + I*n*sqrt(n**(-2))*log(x) + I*sqrt(n**(-2))*log(c))/(8*n*x)","C",0
46,1,352,0,113.382046," ","integrate(sin(a+2/3*ln(c*x**n)*(-1/n**2)**(1/2))**3/x**3,x)","- \frac{i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} \cos{\left(3 a + 2 i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + 2 i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{8 x^{2}} - \frac{9 i n \sqrt{\frac{1}{n^{2}}} \cos{\left(a + \frac{2 i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)}}{3} + \frac{2 i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)}}{3} \right)}}{64 x^{2}} - \frac{i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \cos{\left(3 a + 2 i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + 2 i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{8 x^{2}} - \frac{\log{\left(x \right)} \sin{\left(3 a + 2 i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + 2 i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{8 x^{2}} - \frac{27 \sin{\left(a + \frac{2 i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)}}{3} + \frac{2 i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)}}{3} \right)}}{64 x^{2}} + \frac{\sin{\left(3 a + 2 i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + 2 i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{16 x^{2}} - \frac{\log{\left(c \right)} \sin{\left(3 a + 2 i n \sqrt{\frac{1}{n^{2}}} \log{\left(x \right)} + 2 i \sqrt{\frac{1}{n^{2}}} \log{\left(c \right)} \right)}}{8 n x^{2}}"," ",0,"-I*n*sqrt(n**(-2))*log(x)*cos(3*a + 2*I*n*sqrt(n**(-2))*log(x) + 2*I*sqrt(n**(-2))*log(c))/(8*x**2) - 9*I*n*sqrt(n**(-2))*cos(a + 2*I*n*sqrt(n**(-2))*log(x)/3 + 2*I*sqrt(n**(-2))*log(c)/3)/(64*x**2) - I*sqrt(n**(-2))*log(c)*cos(3*a + 2*I*n*sqrt(n**(-2))*log(x) + 2*I*sqrt(n**(-2))*log(c))/(8*x**2) - log(x)*sin(3*a + 2*I*n*sqrt(n**(-2))*log(x) + 2*I*sqrt(n**(-2))*log(c))/(8*x**2) - 27*sin(a + 2*I*n*sqrt(n**(-2))*log(x)/3 + 2*I*sqrt(n**(-2))*log(c)/3)/(64*x**2) + sin(3*a + 2*I*n*sqrt(n**(-2))*log(x) + 2*I*sqrt(n**(-2))*log(c))/(16*x**2) - log(c)*sin(3*a + 2*I*n*sqrt(n**(-2))*log(x) + 2*I*sqrt(n**(-2))*log(c))/(8*n*x**2)","C",0
47,0,0,0,0.000000," ","integrate(x**m*sin(a+1/2*ln(c*x**2)*(-(1+m)**2)**(1/2)),x)","\int x^{m} \sin{\left(a + \frac{\sqrt{- m^{2} - 2 m - 1} \log{\left(c x^{2} \right)}}{2} \right)}\, dx"," ",0,"Integral(x**m*sin(a + sqrt(-m**2 - 2*m - 1)*log(c*x**2)/2), x)","F",0
48,0,0,0,0.000000," ","integrate(sin(a+1/2*I*ln(c*x**2)),x)","\int \sin{\left(a + \frac{i \log{\left(c x^{2} \right)}}{2} \right)}\, dx"," ",0,"Integral(sin(a + I*log(c*x**2)/2), x)","F",0
49,0,0,0,0.000000," ","integrate(x**m*sin(a+1/4*ln(c*x**2)*(-(1+m)**2)**(1/2))**2,x)","\int x^{m} \sin^{2}{\left(a + \frac{\sqrt{- m^{2} - 2 m - 1} \log{\left(c x^{2} \right)}}{4} \right)}\, dx"," ",0,"Integral(x**m*sin(a + sqrt(-m**2 - 2*m - 1)*log(c*x**2)/4)**2, x)","F",0
50,0,0,0,0.000000," ","integrate(sin(a+1/4*I*ln(c*x**2))**2,x)","\int \sin^{2}{\left(a + \frac{i \log{\left(c x^{2} \right)}}{4} \right)}\, dx"," ",0,"Integral(sin(a + I*log(c*x**2)/4)**2, x)","F",0
51,0,0,0,0.000000," ","integrate(x**m*sin(a+1/6*ln(c*x**2)*(-(1+m)**2)**(1/2))**3,x)","\int x^{m} \sin^{3}{\left(a + \frac{\sqrt{- m^{2} - 2 m - 1} \log{\left(c x^{2} \right)}}{6} \right)}\, dx"," ",0,"Integral(x**m*sin(a + sqrt(-m**2 - 2*m - 1)*log(c*x**2)/6)**3, x)","F",0
52,0,0,0,0.000000," ","integrate(sin(a+1/6*I*ln(c*x**2))**3,x)","\int \sin^{3}{\left(a + \frac{i \log{\left(c x^{2} \right)}}{6} \right)}\, dx"," ",0,"Integral(sin(a + I*log(c*x**2)/6)**3, x)","F",0
53,0,0,0,0.000000," ","integrate(x*sin(a+b*ln(c*x**n))**(1/2),x)","\int x \sqrt{\sin{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(x*sqrt(sin(a + b*log(c*x**n))), x)","F",0
54,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**(1/2),x)","\int \sqrt{\sin{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(sqrt(sin(a + b*log(c*x**n))), x)","F",0
55,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**(1/2)/x,x)","\int \frac{\sqrt{\sin{\left(a + b \log{\left(c x^{n} \right)} \right)}}}{x}\, dx"," ",0,"Integral(sqrt(sin(a + b*log(c*x**n)))/x, x)","F",0
56,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**(1/2)/x**2,x)","\int \frac{\sqrt{\sin{\left(a + b \log{\left(c x^{n} \right)} \right)}}}{x^{2}}\, dx"," ",0,"Integral(sqrt(sin(a + b*log(c*x**n)))/x**2, x)","F",0
57,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**(1/2)/x**3,x)","\int \frac{\sqrt{\sin{\left(a + b \log{\left(c x^{n} \right)} \right)}}}{x^{3}}\, dx"," ",0,"Integral(sqrt(sin(a + b*log(c*x**n)))/x**3, x)","F",0
58,-1,0,0,0.000000," ","integrate(x*sin(a+b*ln(c*x**n))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
59,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**(3/2),x)","\int \sin^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(sin(a + b*log(c*x**n))**(3/2), x)","F",0
60,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**(3/2)/x,x)","\int \frac{\sin^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(sin(a + b*log(c*x**n))**(3/2)/x, x)","F",0
61,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**(3/2)/x**2,x)","\int \frac{\sin^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(sin(a + b*log(c*x**n))**(3/2)/x**2, x)","F",0
62,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**(3/2)/x**3,x)","\int \frac{\sin^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(sin(a + b*log(c*x**n))**(3/2)/x**3, x)","F",0
63,0,0,0,0.000000," ","integrate(1/sin(a+b*ln(c*x**n))**(1/2),x)","\int \frac{1}{\sqrt{\sin{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(1/sqrt(sin(a + b*log(c*x**n))), x)","F",0
64,0,0,0,0.000000," ","integrate(1/x/sin(a+b*ln(c*x**n))**(1/2),x)","\int \frac{1}{x \sqrt{\sin{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(1/(x*sqrt(sin(a + b*log(c*x**n)))), x)","F",0
65,0,0,0,0.000000," ","integrate(1/sin(a+b*ln(c*x**n))**(3/2),x)","\int \frac{1}{\sin^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(sin(a + b*log(c*x**n))**(-3/2), x)","F",0
66,0,0,0,0.000000," ","integrate(1/x/sin(a+b*ln(c*x**n))**(3/2),x)","\int \frac{1}{x \sin^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(1/(x*sin(a + b*log(c*x**n))**(3/2)), x)","F",0
67,-1,0,0,0.000000," ","integrate(1/sin(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
68,-1,0,0,0.000000," ","integrate(1/x/sin(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
69,0,0,0,0.000000," ","integrate(1/sin(a-2*I*ln(c*x))**(3/2),x)","\int \frac{1}{\sin^{\frac{3}{2}}{\left(a - 2 i \log{\left(c x \right)} \right)}}\, dx"," ",0,"Integral(sin(a - 2*I*log(c*x))**(-3/2), x)","F",0
70,0,0,0,0.000000," ","integrate((e*x)**m*sin(d*(a+b*ln(c*x**n)))**4,x)","- \frac{\begin{cases} \frac{\log{\left(x \right)} \cos{\left(2 a d \right)}}{e} & \text{for}\: b = 0 \wedge m = -1 \\\int \left(e x\right)^{m} \cos{\left(- 2 a d + \frac{i m \log{\left(c x^{n} \right)}}{n} + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{i \left(m + 1\right)}{2 d n} \\\int \left(e x\right)^{m} \cos{\left(2 a d + \frac{i m \log{\left(c x^{n} \right)}}{n} + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{i \left(m + 1\right)}{2 d n} \\\frac{2 b d e^{m} n x x^{m} \sin{\left(2 a d + 2 b d n \log{\left(x \right)} + 2 b d \log{\left(c \right)} \right)}}{4 b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} + \frac{e^{m} m x x^{m} \cos{\left(2 a d + 2 b d n \log{\left(x \right)} + 2 b d \log{\left(c \right)} \right)}}{4 b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} + \frac{e^{m} x x^{m} \cos{\left(2 a d + 2 b d n \log{\left(x \right)} + 2 b d \log{\left(c \right)} \right)}}{4 b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} & \text{otherwise} \end{cases}}{2} + \frac{\begin{cases} \frac{\log{\left(x \right)} \cos{\left(4 a d \right)}}{e} & \text{for}\: b = 0 \wedge m = -1 \\\int \left(e x\right)^{m} \cos{\left(- 4 a d + \frac{i m \log{\left(c x^{n} \right)}}{n} + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{i \left(m + 1\right)}{4 d n} \\\int \left(e x\right)^{m} \cos{\left(4 a d + \frac{i m \log{\left(c x^{n} \right)}}{n} + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{i \left(m + 1\right)}{4 d n} \\\frac{4 b d e^{m} n x x^{m} \sin{\left(4 a d + 4 b d n \log{\left(x \right)} + 4 b d \log{\left(c \right)} \right)}}{16 b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} + \frac{e^{m} m x x^{m} \cos{\left(4 a d + 4 b d n \log{\left(x \right)} + 4 b d \log{\left(c \right)} \right)}}{16 b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} + \frac{e^{m} x x^{m} \cos{\left(4 a d + 4 b d n \log{\left(x \right)} + 4 b d \log{\left(c \right)} \right)}}{16 b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} & \text{otherwise} \end{cases}}{8} + \frac{3 \left(\begin{cases} \frac{\left(e x\right)^{m + 1}}{m + 1} & \text{for}\: m \neq -1 \\\log{\left(e x \right)} & \text{otherwise} \end{cases}\right)}{8 e}"," ",0,"-Piecewise((log(x)*cos(2*a*d)/e, Eq(b, 0) & Eq(m, -1)), (Integral((e*x)**m*cos(-2*a*d + I*m*log(c*x**n)/n + I*log(c*x**n)/n), x), Eq(b, -I*(m + 1)/(2*d*n))), (Integral((e*x)**m*cos(2*a*d + I*m*log(c*x**n)/n + I*log(c*x**n)/n), x), Eq(b, I*(m + 1)/(2*d*n))), (2*b*d*e**m*n*x*x**m*sin(2*a*d + 2*b*d*n*log(x) + 2*b*d*log(c))/(4*b**2*d**2*n**2 + m**2 + 2*m + 1) + e**m*m*x*x**m*cos(2*a*d + 2*b*d*n*log(x) + 2*b*d*log(c))/(4*b**2*d**2*n**2 + m**2 + 2*m + 1) + e**m*x*x**m*cos(2*a*d + 2*b*d*n*log(x) + 2*b*d*log(c))/(4*b**2*d**2*n**2 + m**2 + 2*m + 1), True))/2 + Piecewise((log(x)*cos(4*a*d)/e, Eq(b, 0) & Eq(m, -1)), (Integral((e*x)**m*cos(-4*a*d + I*m*log(c*x**n)/n + I*log(c*x**n)/n), x), Eq(b, -I*(m + 1)/(4*d*n))), (Integral((e*x)**m*cos(4*a*d + I*m*log(c*x**n)/n + I*log(c*x**n)/n), x), Eq(b, I*(m + 1)/(4*d*n))), (4*b*d*e**m*n*x*x**m*sin(4*a*d + 4*b*d*n*log(x) + 4*b*d*log(c))/(16*b**2*d**2*n**2 + m**2 + 2*m + 1) + e**m*m*x*x**m*cos(4*a*d + 4*b*d*n*log(x) + 4*b*d*log(c))/(16*b**2*d**2*n**2 + m**2 + 2*m + 1) + e**m*x*x**m*cos(4*a*d + 4*b*d*n*log(x) + 4*b*d*log(c))/(16*b**2*d**2*n**2 + m**2 + 2*m + 1), True))/8 + 3*Piecewise(((e*x)**(m + 1)/(m + 1), Ne(m, -1)), (log(e*x), True))/(8*e)","F",0
71,0,0,0,0.000000," ","integrate((e*x)**m*sin(d*(a+b*ln(c*x**n)))**3,x)","\frac{3 \left(\begin{cases} \frac{\log{\left(x \right)} \sin{\left(a d \right)}}{e} & \text{for}\: b = 0 \wedge m = -1 \\- \int \left(e x\right)^{m} \sin{\left(- a d + \frac{i m \log{\left(c x^{n} \right)}}{n} + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{i \left(m + 1\right)}{d n} \\\int \left(e x\right)^{m} \sin{\left(a d + \frac{i m \log{\left(c x^{n} \right)}}{n} + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{i \left(m + 1\right)}{d n} \\- \frac{b d e^{m} n x x^{m} \cos{\left(a d + b d n \log{\left(x \right)} + b d \log{\left(c \right)} \right)}}{b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} + \frac{e^{m} m x x^{m} \sin{\left(a d + b d n \log{\left(x \right)} + b d \log{\left(c \right)} \right)}}{b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} + \frac{e^{m} x x^{m} \sin{\left(a d + b d n \log{\left(x \right)} + b d \log{\left(c \right)} \right)}}{b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} & \text{otherwise} \end{cases}\right)}{4} - \frac{\begin{cases} \frac{\log{\left(x \right)} \sin{\left(3 a d \right)}}{e} & \text{for}\: b = 0 \wedge m = -1 \\- \int \left(e x\right)^{m} \sin{\left(- 3 a d + \frac{i m \log{\left(c x^{n} \right)}}{n} + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{i \left(m + 1\right)}{3 d n} \\\int \left(e x\right)^{m} \sin{\left(3 a d + \frac{i m \log{\left(c x^{n} \right)}}{n} + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{i \left(m + 1\right)}{3 d n} \\- \frac{3 b d e^{m} n x x^{m} \cos{\left(3 a d + 3 b d n \log{\left(x \right)} + 3 b d \log{\left(c \right)} \right)}}{9 b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} + \frac{e^{m} m x x^{m} \sin{\left(3 a d + 3 b d n \log{\left(x \right)} + 3 b d \log{\left(c \right)} \right)}}{9 b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} + \frac{e^{m} x x^{m} \sin{\left(3 a d + 3 b d n \log{\left(x \right)} + 3 b d \log{\left(c \right)} \right)}}{9 b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} & \text{otherwise} \end{cases}}{4}"," ",0,"3*Piecewise((log(x)*sin(a*d)/e, Eq(b, 0) & Eq(m, -1)), (-Integral((e*x)**m*sin(-a*d + I*m*log(c*x**n)/n + I*log(c*x**n)/n), x), Eq(b, -I*(m + 1)/(d*n))), (Integral((e*x)**m*sin(a*d + I*m*log(c*x**n)/n + I*log(c*x**n)/n), x), Eq(b, I*(m + 1)/(d*n))), (-b*d*e**m*n*x*x**m*cos(a*d + b*d*n*log(x) + b*d*log(c))/(b**2*d**2*n**2 + m**2 + 2*m + 1) + e**m*m*x*x**m*sin(a*d + b*d*n*log(x) + b*d*log(c))/(b**2*d**2*n**2 + m**2 + 2*m + 1) + e**m*x*x**m*sin(a*d + b*d*n*log(x) + b*d*log(c))/(b**2*d**2*n**2 + m**2 + 2*m + 1), True))/4 - Piecewise((log(x)*sin(3*a*d)/e, Eq(b, 0) & Eq(m, -1)), (-Integral((e*x)**m*sin(-3*a*d + I*m*log(c*x**n)/n + I*log(c*x**n)/n), x), Eq(b, -I*(m + 1)/(3*d*n))), (Integral((e*x)**m*sin(3*a*d + I*m*log(c*x**n)/n + I*log(c*x**n)/n), x), Eq(b, I*(m + 1)/(3*d*n))), (-3*b*d*e**m*n*x*x**m*cos(3*a*d + 3*b*d*n*log(x) + 3*b*d*log(c))/(9*b**2*d**2*n**2 + m**2 + 2*m + 1) + e**m*m*x*x**m*sin(3*a*d + 3*b*d*n*log(x) + 3*b*d*log(c))/(9*b**2*d**2*n**2 + m**2 + 2*m + 1) + e**m*x*x**m*sin(3*a*d + 3*b*d*n*log(x) + 3*b*d*log(c))/(9*b**2*d**2*n**2 + m**2 + 2*m + 1), True))/4","F",0
72,0,0,0,0.000000," ","integrate((e*x)**m*sin(d*(a+b*ln(c*x**n)))**2,x)","- \frac{\begin{cases} \frac{\log{\left(x \right)} \cos{\left(2 a d \right)}}{e} & \text{for}\: b = 0 \wedge m = -1 \\\int \left(e x\right)^{m} \cos{\left(- 2 a d + \frac{i m \log{\left(c x^{n} \right)}}{n} + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{i \left(m + 1\right)}{2 d n} \\\int \left(e x\right)^{m} \cos{\left(2 a d + \frac{i m \log{\left(c x^{n} \right)}}{n} + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{i \left(m + 1\right)}{2 d n} \\\frac{2 b d e^{m} n x x^{m} \sin{\left(2 a d + 2 b d n \log{\left(x \right)} + 2 b d \log{\left(c \right)} \right)}}{4 b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} + \frac{e^{m} m x x^{m} \cos{\left(2 a d + 2 b d n \log{\left(x \right)} + 2 b d \log{\left(c \right)} \right)}}{4 b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} + \frac{e^{m} x x^{m} \cos{\left(2 a d + 2 b d n \log{\left(x \right)} + 2 b d \log{\left(c \right)} \right)}}{4 b^{2} d^{2} n^{2} + m^{2} + 2 m + 1} & \text{otherwise} \end{cases}}{2} + \frac{\begin{cases} \frac{\left(e x\right)^{m + 1}}{m + 1} & \text{for}\: m \neq -1 \\\log{\left(e x \right)} & \text{otherwise} \end{cases}}{2 e}"," ",0,"-Piecewise((log(x)*cos(2*a*d)/e, Eq(b, 0) & Eq(m, -1)), (Integral((e*x)**m*cos(-2*a*d + I*m*log(c*x**n)/n + I*log(c*x**n)/n), x), Eq(b, -I*(m + 1)/(2*d*n))), (Integral((e*x)**m*cos(2*a*d + I*m*log(c*x**n)/n + I*log(c*x**n)/n), x), Eq(b, I*(m + 1)/(2*d*n))), (2*b*d*e**m*n*x*x**m*sin(2*a*d + 2*b*d*n*log(x) + 2*b*d*log(c))/(4*b**2*d**2*n**2 + m**2 + 2*m + 1) + e**m*m*x*x**m*cos(2*a*d + 2*b*d*n*log(x) + 2*b*d*log(c))/(4*b**2*d**2*n**2 + m**2 + 2*m + 1) + e**m*x*x**m*cos(2*a*d + 2*b*d*n*log(x) + 2*b*d*log(c))/(4*b**2*d**2*n**2 + m**2 + 2*m + 1), True))/2 + Piecewise(((e*x)**(m + 1)/(m + 1), Ne(m, -1)), (log(e*x), True))/(2*e)","F",0
73,0,0,0,0.000000," ","integrate((e*x)**m*sin(d*(a+b*ln(c*x**n))),x)","\int \left(e x\right)^{m} \sin{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*sin(a*d + b*d*log(c*x**n)), x)","F",0
74,-1,0,0,0.000000," ","integrate((e*x)**m*sin(d*(a+b*ln(c*x**n)))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
75,0,0,0,0.000000," ","integrate((e*x)**m*sin(d*(a+b*ln(c*x**n)))**(1/2),x)","\int \left(e x\right)^{m} \sqrt{\sin{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral((e*x)**m*sqrt(sin(a*d + b*d*log(c*x**n))), x)","F",0
76,0,0,0,0.000000," ","integrate((e*x)**m/sin(d*(a+b*ln(c*x**n)))**(1/2),x)","\int \frac{\left(e x\right)^{m}}{\sqrt{\sin{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral((e*x)**m/sqrt(sin(a*d + b*d*log(c*x**n))), x)","F",0
77,0,0,0,0.000000," ","integrate((e*x)**m/sin(d*(a+b*ln(c*x**n)))**(3/2),x)","\int \frac{\left(e x\right)^{m}}{\sin^{\frac{3}{2}}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral((e*x)**m/sin(a*d + b*d*log(c*x**n))**(3/2), x)","F",0
78,-1,0,0,0.000000," ","integrate((e*x)**m/sin(d*(a+b*ln(c*x**n)))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
79,-1,0,0,0.000000," ","integrate((e*x)**m*sin(d*(a+b*ln(c*x**n)))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
80,0,0,0,0.000000," ","integrate(x**2*sin(a+b*ln(c*x**n))**p,x)","\int x^{2} \sin^{p}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**2*sin(a + b*log(c*x**n))**p, x)","F",0
81,0,0,0,0.000000," ","integrate(x*sin(a+b*ln(c*x**n))**p,x)","\int x \sin^{p}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*sin(a + b*log(c*x**n))**p, x)","F",0
82,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**p,x)","\int \sin^{p}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(sin(a + b*log(c*x**n))**p, x)","F",0
83,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**p/x,x)","\int \frac{\sin^{p}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(sin(a + b*log(c*x**n))**p/x, x)","F",0
84,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**p/x**2,x)","\int \frac{\sin^{p}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(sin(a + b*log(c*x**n))**p/x**2, x)","F",0
85,0,0,0,0.000000," ","integrate(sin(a+b*ln(c*x**n))**p/x**3,x)","\int \frac{\sin^{p}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(sin(a + b*log(c*x**n))**p/x**3, x)","F",0
86,0,0,0,0.000000," ","integrate(x**2*cos(a+b*ln(c*x**n)),x)","\begin{cases} \int x^{2} \cos{\left(a - \frac{3 i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{3 i}{n} \\\int x^{2} \cos{\left(a + \frac{3 i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{3 i}{n} \\\frac{b n x^{3} \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + 9} + \frac{3 x^{3} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + 9} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(x**2*cos(a - 3*I*log(c*x**n)/n), x), Eq(b, -3*I/n)), (Integral(x**2*cos(a + 3*I*log(c*x**n)/n), x), Eq(b, 3*I/n)), (b*n*x**3*sin(a + b*n*log(x) + b*log(c))/(b**2*n**2 + 9) + 3*x**3*cos(a + b*n*log(x) + b*log(c))/(b**2*n**2 + 9), True))","F",0
87,0,0,0,0.000000," ","integrate(x*cos(a+b*ln(c*x**n)),x)","\begin{cases} \int x \cos{\left(a - \frac{2 i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{2 i}{n} \\\int x \cos{\left(a + \frac{2 i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{2 i}{n} \\\frac{b n x^{2} \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + 4} + \frac{2 x^{2} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + 4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(x*cos(a - 2*I*log(c*x**n)/n), x), Eq(b, -2*I/n)), (Integral(x*cos(a + 2*I*log(c*x**n)/n), x), Eq(b, 2*I/n)), (b*n*x**2*sin(a + b*n*log(x) + b*log(c))/(b**2*n**2 + 4) + 2*x**2*cos(a + b*n*log(x) + b*log(c))/(b**2*n**2 + 4), True))","F",0
88,0,0,0,0.000000," ","integrate(cos(a+b*ln(c*x**n)),x)","\begin{cases} \int \cos{\left(a - \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{i}{n} \\\int \cos{\left(a + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{i}{n} \\\frac{b n x \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + 1} + \frac{x \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(cos(a - I*log(c*x**n)/n), x), Eq(b, -I/n)), (Integral(cos(a + I*log(c*x**n)/n), x), Eq(b, I/n)), (b*n*x*sin(a + b*n*log(x) + b*log(c))/(b**2*n**2 + 1) + x*cos(a + b*n*log(x) + b*log(c))/(b**2*n**2 + 1), True))","F",0
89,1,37,0,0.894810," ","integrate(cos(a+b*ln(c*x**n))/x,x)","\begin{cases} \log{\left(x \right)} \cos{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \cos{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{\sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*cos(a), Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*cos(a + b*log(c)), Eq(n, 0)), (sin(a + b*n*log(x) + b*log(c))/(b*n), True))","A",0
90,1,286,0,7.202892," ","integrate(cos(a+b*ln(c*x**n))/x**2,x)","\begin{cases} - \frac{i \log{\left(x \right)} \sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x} + \frac{\log{\left(x \right)} \cos{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x} - \frac{i \sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x} - \frac{i \log{\left(c \right)} \sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 n x} + \frac{\log{\left(c \right)} \cos{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 n x} & \text{for}\: b = - \frac{i}{n} \\- \frac{i \log{\left(x \right)} \sin{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x} + \frac{\log{\left(x \right)} \cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x} - \frac{\cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 x} - \frac{i \log{\left(c \right)} \sin{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 n x} + \frac{\log{\left(c \right)} \cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{2 n x} & \text{for}\: b = \frac{i}{n} \\\frac{b n \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} x + x} - \frac{\cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} x + x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*log(x)*sin(-a + I*log(x) + I*log(c)/n)/(2*x) + log(x)*cos(-a + I*log(x) + I*log(c)/n)/(2*x) - I*sin(-a + I*log(x) + I*log(c)/n)/(2*x) - I*log(c)*sin(-a + I*log(x) + I*log(c)/n)/(2*n*x) + log(c)*cos(-a + I*log(x) + I*log(c)/n)/(2*n*x), Eq(b, -I/n)), (-I*log(x)*sin(a + I*log(x) + I*log(c)/n)/(2*x) + log(x)*cos(a + I*log(x) + I*log(c)/n)/(2*x) - cos(a + I*log(x) + I*log(c)/n)/(2*x) - I*log(c)*sin(a + I*log(x) + I*log(c)/n)/(2*n*x) + log(c)*cos(a + I*log(x) + I*log(c)/n)/(2*n*x), Eq(b, I/n)), (b*n*sin(a + b*n*log(x) + b*log(c))/(b**2*n**2*x + x) - cos(a + b*n*log(x) + b*log(c))/(b**2*n**2*x + x), True))","A",0
91,0,0,0,0.000000," ","integrate(x**2*cos(a+b*ln(c*x**n))**2,x)","\begin{cases} \int x^{2} \cos^{2}{\left(a - \frac{3 i \log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = - \frac{3 i}{2 n} \\\int x^{2} \cos^{2}{\left(a + \frac{3 i \log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = \frac{3 i}{2 n} \\\frac{2 b^{2} n^{2} x^{3} \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{12 b^{2} n^{2} + 27} + \frac{2 b^{2} n^{2} x^{3} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{12 b^{2} n^{2} + 27} + \frac{6 b n x^{3} \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{12 b^{2} n^{2} + 27} + \frac{9 x^{3} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{12 b^{2} n^{2} + 27} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(x**2*cos(a - 3*I*log(c*x**n)/(2*n))**2, x), Eq(b, -3*I/(2*n))), (Integral(x**2*cos(a + 3*I*log(c*x**n)/(2*n))**2, x), Eq(b, 3*I/(2*n))), (2*b**2*n**2*x**3*sin(a + b*n*log(x) + b*log(c))**2/(12*b**2*n**2 + 27) + 2*b**2*n**2*x**3*cos(a + b*n*log(x) + b*log(c))**2/(12*b**2*n**2 + 27) + 6*b*n*x**3*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))/(12*b**2*n**2 + 27) + 9*x**3*cos(a + b*n*log(x) + b*log(c))**2/(12*b**2*n**2 + 27), True))","F",0
92,0,0,0,0.000000," ","integrate(x*cos(a+b*ln(c*x**n))**2,x)","\begin{cases} \int x \cos^{2}{\left(a - \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{i}{n} \\\int x \cos^{2}{\left(a + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{i}{n} \\\frac{b^{2} n^{2} x^{2} \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 4} + \frac{b^{2} n^{2} x^{2} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 4} + \frac{2 b n x^{2} \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 4} + \frac{2 x^{2} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 4} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(x*cos(a - I*log(c*x**n)/n)**2, x), Eq(b, -I/n)), (Integral(x*cos(a + I*log(c*x**n)/n)**2, x), Eq(b, I/n)), (b**2*n**2*x**2*sin(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 + 4) + b**2*n**2*x**2*cos(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 + 4) + 2*b*n*x**2*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))/(4*b**2*n**2 + 4) + 2*x**2*cos(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 + 4), True))","F",0
93,0,0,0,0.000000," ","integrate(cos(a+b*ln(c*x**n))**2,x)","\begin{cases} \int \cos^{2}{\left(a - \frac{i \log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = - \frac{i}{2 n} \\\int \cos^{2}{\left(a + \frac{i \log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = \frac{i}{2 n} \\\frac{2 b^{2} n^{2} x \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 1} + \frac{2 b^{2} n^{2} x \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 1} + \frac{2 b n x \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 1} + \frac{x \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(cos(a - I*log(c*x**n)/(2*n))**2, x), Eq(b, -I/(2*n))), (Integral(cos(a + I*log(c*x**n)/(2*n))**2, x), Eq(b, I/(2*n))), (2*b**2*n**2*x*sin(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 + 1) + 2*b**2*n**2*x*cos(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 + 1) + 2*b*n*x*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))/(4*b**2*n**2 + 1) + x*cos(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2 + 1), True))","F",0
94,1,56,0,3.031069," ","integrate(cos(a+b*ln(c*x**n))**2/x,x)","\frac{\begin{cases} \log{\left(x \right)} \cos{\left(2 a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \cos{\left(2 a + 2 b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{\sin{\left(2 a + 2 b n \log{\left(x \right)} + 2 b \log{\left(c \right)} \right)}}{2 b n} & \text{otherwise} \end{cases}}{2} + \frac{\log{\left(x \right)}}{2}"," ",0,"Piecewise((log(x)*cos(2*a), Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*cos(2*a + 2*b*log(c)), Eq(n, 0)), (sin(2*a + 2*b*n*log(x) + 2*b*log(c))/(2*b*n), True))/2 + log(x)/2","A",0
95,1,413,0,16.167804," ","integrate(cos(a+b*ln(c*x**n))**2/x**2,x)","\begin{cases} - \frac{i \log{\left(x \right)} \sin{\left(- 2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x} + \frac{\log{\left(x \right)} \cos{\left(- 2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x} - \frac{i \sin{\left(- 2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x} - \frac{1}{2 x} - \frac{i \log{\left(c \right)} \sin{\left(- 2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 n x} + \frac{\log{\left(c \right)} \cos{\left(- 2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 n x} & \text{for}\: b = - \frac{i}{2 n} \\- \frac{i \log{\left(x \right)} \sin{\left(2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x} + \frac{\log{\left(x \right)} \cos{\left(2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x} - \frac{\cos{\left(2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 x} - \frac{1}{2 x} - \frac{i \log{\left(c \right)} \sin{\left(2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 n x} + \frac{\log{\left(c \right)} \cos{\left(2 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{4 n x} & \text{for}\: b = \frac{i}{2 n} \\- \frac{2 b^{2} n^{2} \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} x + x} - \frac{2 b^{2} n^{2} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} x + x} + \frac{2 b n \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} x + x} - \frac{\cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} n^{2} x + x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-I*log(x)*sin(-2*a + I*log(x) + I*log(c)/n)/(4*x) + log(x)*cos(-2*a + I*log(x) + I*log(c)/n)/(4*x) - I*sin(-2*a + I*log(x) + I*log(c)/n)/(4*x) - 1/(2*x) - I*log(c)*sin(-2*a + I*log(x) + I*log(c)/n)/(4*n*x) + log(c)*cos(-2*a + I*log(x) + I*log(c)/n)/(4*n*x), Eq(b, -I/(2*n))), (-I*log(x)*sin(2*a + I*log(x) + I*log(c)/n)/(4*x) + log(x)*cos(2*a + I*log(x) + I*log(c)/n)/(4*x) - cos(2*a + I*log(x) + I*log(c)/n)/(4*x) - 1/(2*x) - I*log(c)*sin(2*a + I*log(x) + I*log(c)/n)/(4*n*x) + log(c)*cos(2*a + I*log(x) + I*log(c)/n)/(4*n*x), Eq(b, I/(2*n))), (-2*b**2*n**2*sin(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2*x + x) - 2*b**2*n**2*cos(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2*x + x) + 2*b*n*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))/(4*b**2*n**2*x + x) - cos(a + b*n*log(x) + b*log(c))**2/(4*b**2*n**2*x + x), True))","A",0
96,-1,0,0,0.000000," ","integrate(x**2*cos(a+b*ln(c*x**n))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
97,-1,0,0,0.000000," ","integrate(x*cos(a+b*ln(c*x**n))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
98,0,0,0,0.000000," ","integrate(cos(a+b*ln(c*x**n))**3,x)","\begin{cases} \int \cos^{3}{\left(a - \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{i}{n} \\\int \cos^{3}{\left(a - \frac{i \log{\left(c x^{n} \right)}}{3 n} \right)}\, dx & \text{for}\: b = - \frac{i}{3 n} \\\int \cos^{3}{\left(a + \frac{i \log{\left(c x^{n} \right)}}{3 n} \right)}\, dx & \text{for}\: b = \frac{i}{3 n} \\\int \cos^{3}{\left(a + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{i}{n} \\\frac{6 b^{3} n^{3} x \sin^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} + 10 b^{2} n^{2} + 1} + \frac{9 b^{3} n^{3} x \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} + 10 b^{2} n^{2} + 1} + \frac{6 b^{2} n^{2} x \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} + 10 b^{2} n^{2} + 1} + \frac{7 b^{2} n^{2} x \cos^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} + 10 b^{2} n^{2} + 1} + \frac{3 b n x \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} + 10 b^{2} n^{2} + 1} + \frac{x \cos^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} + 10 b^{2} n^{2} + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(cos(a - I*log(c*x**n)/n)**3, x), Eq(b, -I/n)), (Integral(cos(a - I*log(c*x**n)/(3*n))**3, x), Eq(b, -I/(3*n))), (Integral(cos(a + I*log(c*x**n)/(3*n))**3, x), Eq(b, I/(3*n))), (Integral(cos(a + I*log(c*x**n)/n)**3, x), Eq(b, I/n)), (6*b**3*n**3*x*sin(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4 + 10*b**2*n**2 + 1) + 9*b**3*n**3*x*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))**2/(9*b**4*n**4 + 10*b**2*n**2 + 1) + 6*b**2*n**2*x*sin(a + b*n*log(x) + b*log(c))**2*cos(a + b*n*log(x) + b*log(c))/(9*b**4*n**4 + 10*b**2*n**2 + 1) + 7*b**2*n**2*x*cos(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4 + 10*b**2*n**2 + 1) + 3*b*n*x*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))**2/(9*b**4*n**4 + 10*b**2*n**2 + 1) + x*cos(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4 + 10*b**2*n**2 + 1), True))","F",0
99,1,82,0,10.753955," ","integrate(cos(a+b*ln(c*x**n))**3/x,x)","\begin{cases} \log{\left(x \right)} \cos^{3}{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \cos^{3}{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{2 \sin^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{3 b n} + \frac{\sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*cos(a)**3, Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*cos(a + b*log(c))**3, Eq(n, 0)), (2*sin(a + b*n*log(x) + b*log(c))**3/(3*b*n) + sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))**2/(b*n), True))","A",0
100,1,1022,0,81.739349," ","integrate(cos(a+b*ln(c*x**n))**3/x**2,x)","\begin{cases} - \frac{3 i \log{\left(x \right)} \sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} + \frac{3 \log{\left(x \right)} \cos{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} - \frac{3 i \sin{\left(- 3 a + 3 i \log{\left(x \right)} + \frac{3 i \log{\left(c \right)}}{n} \right)}}{32 x} - \frac{3 i \sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} + \frac{\cos{\left(- 3 a + 3 i \log{\left(x \right)} + \frac{3 i \log{\left(c \right)}}{n} \right)}}{32 x} - \frac{3 i \log{\left(c \right)} \sin{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} + \frac{3 \log{\left(c \right)} \cos{\left(- a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} & \text{for}\: b = - \frac{i}{n} \\- \frac{i \log{\left(x \right)} \sin{\left(- 3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} + \frac{\log{\left(x \right)} \cos{\left(- 3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} - \frac{i \sin{\left(- 3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} + \frac{9 i \sin{\left(- a + \frac{i \log{\left(x \right)}}{3} + \frac{i \log{\left(c \right)}}{3 n} \right)}}{32 x} - \frac{27 \cos{\left(- a + \frac{i \log{\left(x \right)}}{3} + \frac{i \log{\left(c \right)}}{3 n} \right)}}{32 x} - \frac{i \log{\left(c \right)} \sin{\left(- 3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} + \frac{\log{\left(c \right)} \cos{\left(- 3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} & \text{for}\: b = - \frac{i}{3 n} \\- \frac{i \log{\left(x \right)} \sin{\left(3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} + \frac{\log{\left(x \right)} \cos{\left(3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} + \frac{9 i \sin{\left(a + \frac{i \log{\left(x \right)}}{3} + \frac{i \log{\left(c \right)}}{3 n} \right)}}{32 x} - \frac{i \sin{\left(3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} - \frac{27 \cos{\left(a + \frac{i \log{\left(x \right)}}{3} + \frac{i \log{\left(c \right)}}{3 n} \right)}}{32 x} - \frac{i \log{\left(c \right)} \sin{\left(3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} + \frac{\log{\left(c \right)} \cos{\left(3 a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} & \text{for}\: b = \frac{i}{3 n} \\- \frac{3 i \log{\left(x \right)} \sin{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} + \frac{3 \log{\left(x \right)} \cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} - \frac{3 i \sin{\left(3 a + 3 i \log{\left(x \right)} + \frac{3 i \log{\left(c \right)}}{n} \right)}}{32 x} - \frac{3 \cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 x} + \frac{\cos{\left(3 a + 3 i \log{\left(x \right)} + \frac{3 i \log{\left(c \right)}}{n} \right)}}{32 x} - \frac{3 i \log{\left(c \right)} \sin{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} + \frac{3 \log{\left(c \right)} \cos{\left(a + i \log{\left(x \right)} + \frac{i \log{\left(c \right)}}{n} \right)}}{8 n x} & \text{for}\: b = \frac{i}{n} \\\frac{6 b^{3} n^{3} \sin^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x + 10 b^{2} n^{2} x + x} + \frac{9 b^{3} n^{3} \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x + 10 b^{2} n^{2} x + x} - \frac{6 b^{2} n^{2} \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x + 10 b^{2} n^{2} x + x} - \frac{7 b^{2} n^{2} \cos^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x + 10 b^{2} n^{2} x + x} + \frac{3 b n \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x + 10 b^{2} n^{2} x + x} - \frac{\cos^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{9 b^{4} n^{4} x + 10 b^{2} n^{2} x + x} & \text{otherwise} \end{cases}"," ",0,"Piecewise((-3*I*log(x)*sin(-a + I*log(x) + I*log(c)/n)/(8*x) + 3*log(x)*cos(-a + I*log(x) + I*log(c)/n)/(8*x) - 3*I*sin(-3*a + 3*I*log(x) + 3*I*log(c)/n)/(32*x) - 3*I*sin(-a + I*log(x) + I*log(c)/n)/(8*x) + cos(-3*a + 3*I*log(x) + 3*I*log(c)/n)/(32*x) - 3*I*log(c)*sin(-a + I*log(x) + I*log(c)/n)/(8*n*x) + 3*log(c)*cos(-a + I*log(x) + I*log(c)/n)/(8*n*x), Eq(b, -I/n)), (-I*log(x)*sin(-3*a + I*log(x) + I*log(c)/n)/(8*x) + log(x)*cos(-3*a + I*log(x) + I*log(c)/n)/(8*x) - I*sin(-3*a + I*log(x) + I*log(c)/n)/(8*x) + 9*I*sin(-a + I*log(x)/3 + I*log(c)/(3*n))/(32*x) - 27*cos(-a + I*log(x)/3 + I*log(c)/(3*n))/(32*x) - I*log(c)*sin(-3*a + I*log(x) + I*log(c)/n)/(8*n*x) + log(c)*cos(-3*a + I*log(x) + I*log(c)/n)/(8*n*x), Eq(b, -I/(3*n))), (-I*log(x)*sin(3*a + I*log(x) + I*log(c)/n)/(8*x) + log(x)*cos(3*a + I*log(x) + I*log(c)/n)/(8*x) + 9*I*sin(a + I*log(x)/3 + I*log(c)/(3*n))/(32*x) - I*sin(3*a + I*log(x) + I*log(c)/n)/(8*x) - 27*cos(a + I*log(x)/3 + I*log(c)/(3*n))/(32*x) - I*log(c)*sin(3*a + I*log(x) + I*log(c)/n)/(8*n*x) + log(c)*cos(3*a + I*log(x) + I*log(c)/n)/(8*n*x), Eq(b, I/(3*n))), (-3*I*log(x)*sin(a + I*log(x) + I*log(c)/n)/(8*x) + 3*log(x)*cos(a + I*log(x) + I*log(c)/n)/(8*x) - 3*I*sin(3*a + 3*I*log(x) + 3*I*log(c)/n)/(32*x) - 3*cos(a + I*log(x) + I*log(c)/n)/(8*x) + cos(3*a + 3*I*log(x) + 3*I*log(c)/n)/(32*x) - 3*I*log(c)*sin(a + I*log(x) + I*log(c)/n)/(8*n*x) + 3*log(c)*cos(a + I*log(x) + I*log(c)/n)/(8*n*x), Eq(b, I/n)), (6*b**3*n**3*sin(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4*x + 10*b**2*n**2*x + x) + 9*b**3*n**3*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))**2/(9*b**4*n**4*x + 10*b**2*n**2*x + x) - 6*b**2*n**2*sin(a + b*n*log(x) + b*log(c))**2*cos(a + b*n*log(x) + b*log(c))/(9*b**4*n**4*x + 10*b**2*n**2*x + x) - 7*b**2*n**2*cos(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4*x + 10*b**2*n**2*x + x) + 3*b*n*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))**2/(9*b**4*n**4*x + 10*b**2*n**2*x + x) - cos(a + b*n*log(x) + b*log(c))**3/(9*b**4*n**4*x + 10*b**2*n**2*x + x), True))","B",0
101,0,0,0,0.000000," ","integrate(cos(a+b*ln(c*x**n))**4,x)","\begin{cases} \int \cos^{4}{\left(a - \frac{i \log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = - \frac{i}{2 n} \\\int \cos^{4}{\left(a - \frac{i \log{\left(c x^{n} \right)}}{4 n} \right)}\, dx & \text{for}\: b = - \frac{i}{4 n} \\\int \cos^{4}{\left(a + \frac{i \log{\left(c x^{n} \right)}}{4 n} \right)}\, dx & \text{for}\: b = \frac{i}{4 n} \\\int \cos^{4}{\left(a + \frac{i \log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = \frac{i}{2 n} \\\frac{24 b^{4} n^{4} x \sin^{4}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} + 20 b^{2} n^{2} + 1} + \frac{48 b^{4} n^{4} x \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} + 20 b^{2} n^{2} + 1} + \frac{24 b^{4} n^{4} x \cos^{4}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} + 20 b^{2} n^{2} + 1} + \frac{24 b^{3} n^{3} x \sin^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} + 20 b^{2} n^{2} + 1} + \frac{40 b^{3} n^{3} x \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} + 20 b^{2} n^{2} + 1} + \frac{12 b^{2} n^{2} x \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} + 20 b^{2} n^{2} + 1} + \frac{16 b^{2} n^{2} x \cos^{4}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} + 20 b^{2} n^{2} + 1} + \frac{4 b n x \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} + 20 b^{2} n^{2} + 1} + \frac{x \cos^{4}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{64 b^{4} n^{4} + 20 b^{2} n^{2} + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((Integral(cos(a - I*log(c*x**n)/(2*n))**4, x), Eq(b, -I/(2*n))), (Integral(cos(a - I*log(c*x**n)/(4*n))**4, x), Eq(b, -I/(4*n))), (Integral(cos(a + I*log(c*x**n)/(4*n))**4, x), Eq(b, I/(4*n))), (Integral(cos(a + I*log(c*x**n)/(2*n))**4, x), Eq(b, I/(2*n))), (24*b**4*n**4*x*sin(a + b*n*log(x) + b*log(c))**4/(64*b**4*n**4 + 20*b**2*n**2 + 1) + 48*b**4*n**4*x*sin(a + b*n*log(x) + b*log(c))**2*cos(a + b*n*log(x) + b*log(c))**2/(64*b**4*n**4 + 20*b**2*n**2 + 1) + 24*b**4*n**4*x*cos(a + b*n*log(x) + b*log(c))**4/(64*b**4*n**4 + 20*b**2*n**2 + 1) + 24*b**3*n**3*x*sin(a + b*n*log(x) + b*log(c))**3*cos(a + b*n*log(x) + b*log(c))/(64*b**4*n**4 + 20*b**2*n**2 + 1) + 40*b**3*n**3*x*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))**3/(64*b**4*n**4 + 20*b**2*n**2 + 1) + 12*b**2*n**2*x*sin(a + b*n*log(x) + b*log(c))**2*cos(a + b*n*log(x) + b*log(c))**2/(64*b**4*n**4 + 20*b**2*n**2 + 1) + 16*b**2*n**2*x*cos(a + b*n*log(x) + b*log(c))**4/(64*b**4*n**4 + 20*b**2*n**2 + 1) + 4*b*n*x*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))**3/(64*b**4*n**4 + 20*b**2*n**2 + 1) + x*cos(a + b*n*log(x) + b*log(c))**4/(64*b**4*n**4 + 20*b**2*n**2 + 1), True))","F",0
102,1,110,0,15.347709," ","integrate(cos(a+b*ln(c*x**n))**4/x,x)","\frac{\begin{cases} \log{\left(x \right)} \cos{\left(2 a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \cos{\left(2 a + 2 b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{\sin{\left(2 a + 2 b n \log{\left(x \right)} + 2 b \log{\left(c \right)} \right)}}{2 b n} & \text{otherwise} \end{cases}}{2} + \frac{\begin{cases} \log{\left(x \right)} \cos{\left(4 a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \cos{\left(4 a + 4 b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{\sin{\left(4 a + 4 b n \log{\left(x \right)} + 4 b \log{\left(c \right)} \right)}}{4 b n} & \text{otherwise} \end{cases}}{8} + \frac{3 \log{\left(x \right)}}{8}"," ",0,"Piecewise((log(x)*cos(2*a), Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*cos(2*a + 2*b*log(c)), Eq(n, 0)), (sin(2*a + 2*b*n*log(x) + 2*b*log(c))/(2*b*n), True))/2 + Piecewise((log(x)*cos(4*a), Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*cos(4*a + 4*b*log(c)), Eq(n, 0)), (sin(4*a + 4*b*n*log(x) + 4*b*log(c))/(4*b*n), True))/8 + 3*log(x)/8","A",0
103,0,0,0,0.000000," ","integrate(cos(ln(6+3*x)),x)","\int \cos{\left(\log{\left(3 x + 6 \right)} \right)}\, dx"," ",0,"Integral(cos(log(3*x + 6)), x)","F",0
104,0,0,0,0.000000," ","integrate(x**m*cos(a+ln(c*x**n)*(-(1+m)**2/n**2)**(1/2)),x)","\int x^{m} \cos{\left(a + \sqrt{- \frac{m^{2}}{n^{2}} - \frac{2 m}{n^{2}} - \frac{1}{n^{2}}} \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**m*cos(a + sqrt(-m**2/n**2 - 2*m/n**2 - 1/n**2)*log(c*x**n)), x)","F",0
105,0,0,0,0.000000," ","integrate(cos(a+ln(c*x**n)*(-1/n**2)**(1/2)),x)","\int \cos{\left(a + \sqrt{- \frac{1}{n^{2}}} \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(cos(a + sqrt(-1/n**2)*log(c*x**n)), x)","F",0
106,0,0,0,0.000000," ","integrate(x**m*cos(a+1/2*ln(c*x**n)*(-(1+m)**2/n**2)**(1/2))**2,x)","\int x^{m} \cos^{2}{\left(a + \frac{\sqrt{- \frac{m^{2}}{n^{2}} - \frac{2 m}{n^{2}} - \frac{1}{n^{2}}} \log{\left(c x^{n} \right)}}{2} \right)}\, dx"," ",0,"Integral(x**m*cos(a + sqrt(-m**2/n**2 - 2*m/n**2 - 1/n**2)*log(c*x**n)/2)**2, x)","F",0
107,0,0,0,0.000000," ","integrate(cos(a+1/2*ln(c*x**n)*(-1/n**2)**(1/2))**2,x)","\int \cos^{2}{\left(a + \frac{\sqrt{- \frac{1}{n^{2}}} \log{\left(c x^{n} \right)}}{2} \right)}\, dx"," ",0,"Integral(cos(a + sqrt(-1/n**2)*log(c*x**n)/2)**2, x)","F",0
108,0,0,0,0.000000," ","integrate(x**m*cos(a+1/2*ln(c*x**n)*(-(1+m)**2/n**2)**(1/2))**3,x)","\int x^{m} \cos^{3}{\left(a + \frac{\sqrt{- \frac{m^{2}}{n^{2}} - \frac{2 m}{n^{2}} - \frac{1}{n^{2}}} \log{\left(c x^{n} \right)}}{2} \right)}\, dx"," ",0,"Integral(x**m*cos(a + sqrt(-m**2/n**2 - 2*m/n**2 - 1/n**2)*log(c*x**n)/2)**3, x)","F",0
109,0,0,0,0.000000," ","integrate(cos(a+1/3*ln(c*x**n)*(-1/n**2)**(1/2))**3,x)","\int \cos^{3}{\left(a + \frac{\sqrt{- \frac{1}{n^{2}}} \log{\left(c x^{n} \right)}}{3} \right)}\, dx"," ",0,"Integral(cos(a + sqrt(-1/n**2)*log(c*x**n)/3)**3, x)","F",0
110,0,0,0,0.000000," ","integrate(cos(a+b*ln(c*x**n))**(1/2),x)","\int \sqrt{\cos{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(sqrt(cos(a + b*log(c*x**n))), x)","F",0
111,0,0,0,0.000000," ","integrate(cos(a+b*ln(c*x**n))**(1/2)/x,x)","\int \frac{\sqrt{\cos{\left(a + b \log{\left(c x^{n} \right)} \right)}}}{x}\, dx"," ",0,"Integral(sqrt(cos(a + b*log(c*x**n)))/x, x)","F",0
112,0,0,0,0.000000," ","integrate(cos(a+b*ln(c*x**n))**(3/2),x)","\int \cos^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(cos(a + b*log(c*x**n))**(3/2), x)","F",0
113,0,0,0,0.000000," ","integrate(cos(a+b*ln(c*x**n))**(3/2)/x,x)","\int \frac{\cos^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(cos(a + b*log(c*x**n))**(3/2)/x, x)","F",0
114,-1,0,0,0.000000," ","integrate(cos(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
115,-1,0,0,0.000000," ","integrate(cos(a+b*ln(c*x**n))**(5/2)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
116,0,0,0,0.000000," ","integrate(1/cos(a+b*ln(c*x**n))**(1/2),x)","\int \frac{1}{\sqrt{\cos{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(1/sqrt(cos(a + b*log(c*x**n))), x)","F",0
117,0,0,0,0.000000," ","integrate(1/x/cos(a+b*ln(c*x**n))**(1/2),x)","\int \frac{1}{x \sqrt{\cos{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(1/(x*sqrt(cos(a + b*log(c*x**n)))), x)","F",0
118,0,0,0,0.000000," ","integrate(1/cos(a+b*ln(c*x**n))**(3/2),x)","\int \frac{1}{\cos^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(cos(a + b*log(c*x**n))**(-3/2), x)","F",0
119,0,0,0,0.000000," ","integrate(1/x/cos(a+b*ln(c*x**n))**(3/2),x)","\int \frac{1}{x \cos^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(1/(x*cos(a + b*log(c*x**n))**(3/2)), x)","F",0
120,-1,0,0,0.000000," ","integrate(1/cos(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
121,-1,0,0,0.000000," ","integrate(1/x/cos(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
122,0,0,0,0.000000," ","integrate(1/cos(a-2*I*ln(c*x))**(3/2),x)","\int \frac{1}{\cos^{\frac{3}{2}}{\left(a - 2 i \log{\left(c x \right)} \right)}}\, dx"," ",0,"Integral(cos(a - 2*I*log(c*x))**(-3/2), x)","F",0
123,-1,0,0,0.000000," ","integrate(x**m*cos(a+b*ln(c*x**n))**4,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
124,-1,0,0,0.000000," ","integrate(x**m*cos(a+b*ln(c*x**n))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
125,0,0,0,0.000000," ","integrate(x**m*cos(a+b*ln(c*x**n))**2,x)","\begin{cases} \log{\left(x \right)} \cos^{2}{\left(a \right)} & \text{for}\: b = 0 \wedge m = -1 \\\int x^{m} \cos^{2}{\left(- a + \frac{i m \log{\left(c x^{n} \right)}}{2 n} + \frac{i \log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = - \frac{i \left(m + 1\right)}{2 n} \\\int x^{m} \cos^{2}{\left(a + \frac{i m \log{\left(c x^{n} \right)}}{2 n} + \frac{i \log{\left(c x^{n} \right)}}{2 n} \right)}\, dx & \text{for}\: b = \frac{i \left(m + 1\right)}{2 n} \\\frac{\begin{cases} \log{\left(x \right)} \cos{\left(2 a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \cos{\left(2 a + 2 b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{\sin{\left(2 a + 2 b n \log{\left(x \right)} + 2 b \log{\left(c \right)} \right)}}{2 b n} & \text{otherwise} \end{cases}}{2} + \frac{\log{\left(x \right)}}{2} & \text{for}\: m = -1 \\\frac{2 b^{2} n^{2} x x^{m} \sin^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} m n^{2} + 4 b^{2} n^{2} + m^{3} + 3 m^{2} + 3 m + 1} + \frac{2 b^{2} n^{2} x x^{m} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} m n^{2} + 4 b^{2} n^{2} + m^{3} + 3 m^{2} + 3 m + 1} + \frac{2 b m n x x^{m} \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} m n^{2} + 4 b^{2} n^{2} + m^{3} + 3 m^{2} + 3 m + 1} + \frac{2 b n x x^{m} \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} m n^{2} + 4 b^{2} n^{2} + m^{3} + 3 m^{2} + 3 m + 1} + \frac{m^{2} x x^{m} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} m n^{2} + 4 b^{2} n^{2} + m^{3} + 3 m^{2} + 3 m + 1} + \frac{2 m x x^{m} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} m n^{2} + 4 b^{2} n^{2} + m^{3} + 3 m^{2} + 3 m + 1} + \frac{x x^{m} \cos^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b^{2} m n^{2} + 4 b^{2} n^{2} + m^{3} + 3 m^{2} + 3 m + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*cos(a)**2, Eq(b, 0) & Eq(m, -1)), (Integral(x**m*cos(-a + I*m*log(c*x**n)/(2*n) + I*log(c*x**n)/(2*n))**2, x), Eq(b, -I*(m + 1)/(2*n))), (Integral(x**m*cos(a + I*m*log(c*x**n)/(2*n) + I*log(c*x**n)/(2*n))**2, x), Eq(b, I*(m + 1)/(2*n))), (Piecewise((log(x)*cos(2*a), Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*cos(2*a + 2*b*log(c)), Eq(n, 0)), (sin(2*a + 2*b*n*log(x) + 2*b*log(c))/(2*b*n), True))/2 + log(x)/2, Eq(m, -1)), (2*b**2*n**2*x*x**m*sin(a + b*n*log(x) + b*log(c))**2/(4*b**2*m*n**2 + 4*b**2*n**2 + m**3 + 3*m**2 + 3*m + 1) + 2*b**2*n**2*x*x**m*cos(a + b*n*log(x) + b*log(c))**2/(4*b**2*m*n**2 + 4*b**2*n**2 + m**3 + 3*m**2 + 3*m + 1) + 2*b*m*n*x*x**m*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))/(4*b**2*m*n**2 + 4*b**2*n**2 + m**3 + 3*m**2 + 3*m + 1) + 2*b*n*x*x**m*sin(a + b*n*log(x) + b*log(c))*cos(a + b*n*log(x) + b*log(c))/(4*b**2*m*n**2 + 4*b**2*n**2 + m**3 + 3*m**2 + 3*m + 1) + m**2*x*x**m*cos(a + b*n*log(x) + b*log(c))**2/(4*b**2*m*n**2 + 4*b**2*n**2 + m**3 + 3*m**2 + 3*m + 1) + 2*m*x*x**m*cos(a + b*n*log(x) + b*log(c))**2/(4*b**2*m*n**2 + 4*b**2*n**2 + m**3 + 3*m**2 + 3*m + 1) + x*x**m*cos(a + b*n*log(x) + b*log(c))**2/(4*b**2*m*n**2 + 4*b**2*n**2 + m**3 + 3*m**2 + 3*m + 1), True))","F",0
126,0,0,0,0.000000," ","integrate(x**m*cos(a+b*ln(c*x**n)),x)","\begin{cases} \log{\left(x \right)} \cos{\left(a \right)} & \text{for}\: b = 0 \wedge m = -1 \\\int x^{m} \cos{\left(- a + \frac{i m \log{\left(c x^{n} \right)}}{n} + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = - \frac{i \left(m + 1\right)}{n} \\\int x^{m} \cos{\left(a + \frac{i m \log{\left(c x^{n} \right)}}{n} + \frac{i \log{\left(c x^{n} \right)}}{n} \right)}\, dx & \text{for}\: b = \frac{i \left(m + 1\right)}{n} \\\frac{b n x x^{m} \sin{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + m^{2} + 2 m + 1} + \frac{m x x^{m} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + m^{2} + 2 m + 1} + \frac{x x^{m} \cos{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b^{2} n^{2} + m^{2} + 2 m + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*cos(a), Eq(b, 0) & Eq(m, -1)), (Integral(x**m*cos(-a + I*m*log(c*x**n)/n + I*log(c*x**n)/n), x), Eq(b, -I*(m + 1)/n)), (Integral(x**m*cos(a + I*m*log(c*x**n)/n + I*log(c*x**n)/n), x), Eq(b, I*(m + 1)/n)), (b*n*x*x**m*sin(a + b*n*log(x) + b*log(c))/(b**2*n**2 + m**2 + 2*m + 1) + m*x*x**m*cos(a + b*n*log(x) + b*log(c))/(b**2*n**2 + m**2 + 2*m + 1) + x*x**m*cos(a + b*n*log(x) + b*log(c))/(b**2*n**2 + m**2 + 2*m + 1), True))","F",0
127,-1,0,0,0.000000," ","integrate(x**m*cos(a+b*ln(c*x**n))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
128,0,0,0,0.000000," ","integrate(x**m*cos(a+b*ln(c*x**n))**(1/2),x)","\int x^{m} \sqrt{\cos{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(x**m*sqrt(cos(a + b*log(c*x**n))), x)","F",0
129,0,0,0,0.000000," ","integrate(x**m/cos(a+b*ln(c*x**n))**(1/2),x)","\int \frac{x^{m}}{\sqrt{\cos{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(x**m/sqrt(cos(a + b*log(c*x**n))), x)","F",0
130,0,0,0,0.000000," ","integrate(x**m/cos(a+b*ln(c*x**n))**(3/2),x)","\int \frac{x^{m}}{\cos^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(x**m/cos(a + b*log(c*x**n))**(3/2), x)","F",0
131,-1,0,0,0.000000," ","integrate(x**m/cos(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
132,-1,0,0,0.000000," ","integrate((e*x)**m*cos(d*(a+b*ln(c*x**n)))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
133,0,0,0,0.000000," ","integrate(x*cos(a+b*ln(c*x**n))**p,x)","\int x \cos^{p}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*cos(a + b*log(c*x**n))**p, x)","F",0
134,0,0,0,0.000000," ","integrate(cos(a+b*ln(c*x**n))**p,x)","\int \cos^{p}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(cos(a + b*log(c*x**n))**p, x)","F",0
135,1,37,0,0.208179," ","integrate(x**3*tan(a+I*ln(x)),x)","\frac{i x^{4}}{4} - i x^{2} e^{2 i a} + i e^{4 i a} \log{\left(x^{2} + e^{2 i a} \right)}"," ",0,"I*x**4/4 - I*x**2*exp(2*I*a) + I*exp(4*I*a)*log(x**2 + exp(2*I*a))","A",0
136,1,61,0,0.201364," ","integrate(x**2*tan(a+I*ln(x)),x)","\frac{i x^{3}}{3} - 2 i x e^{2 i a} + \left(\log{\left(x e^{2 i a} - i e^{3 i a} \right)} - \log{\left(x e^{2 i a} + i e^{3 i a} \right)}\right) e^{3 i a}"," ",0,"I*x**3/3 - 2*I*x*exp(2*I*a) + (log(x*exp(2*I*a) - I*exp(3*I*a)) - log(x*exp(2*I*a) + I*exp(3*I*a)))*exp(3*I*a)","A",0
137,1,26,0,0.191072," ","integrate(x*tan(a+I*ln(x)),x)","\frac{i x^{2}}{2} - i e^{2 i a} \log{\left(x^{2} + e^{2 i a} \right)}"," ",0,"I*x**2/2 - I*exp(2*I*a)*log(x**2 + exp(2*I*a))","A",0
138,1,27,0,0.181427," ","integrate(tan(a+I*ln(x)),x)","i x + \left(- \log{\left(x - i e^{i a} \right)} + \log{\left(x + i e^{i a} \right)}\right) e^{i a}"," ",0,"I*x + (-log(x - I*exp(I*a)) + log(x + I*exp(I*a)))*exp(I*a)","A",0
139,1,17,0,0.265978," ","integrate(tan(a+I*ln(x))/x,x)","- i \log{\left(x \right)} + i \log{\left(x^{2} + e^{2 i a} \right)}"," ",0,"-I*log(x) + I*log(x**2 + exp(2*I*a))","A",0
140,1,27,0,0.225710," ","integrate(tan(a+I*ln(x))/x**2,x)","\left(\log{\left(x - i e^{i a} \right)} - \log{\left(x + i e^{i a} \right)}\right) e^{- i a} + \frac{i}{x}"," ",0,"(log(x - I*exp(I*a)) - log(x + I*exp(I*a)))*exp(-I*a) + I/x","A",0
141,1,39,0,0.352051," ","integrate(tan(a+I*ln(x))/x**3,x)","2 i e^{- 2 i a} \log{\left(x \right)} - i e^{- 2 i a} \log{\left(x^{2} + e^{2 i a} \right)} + \frac{i}{2 x^{2}}"," ",0,"2*I*exp(-2*I*a)*log(x) - I*exp(-2*I*a)*log(x**2 + exp(2*I*a)) + I/(2*x**2)","A",0
142,1,53,0,0.292742," ","integrate(tan(a+I*ln(x))/x**4,x)","\left(- \log{\left(x - i e^{i a} \right)} + \log{\left(x + i e^{i a} \right)}\right) e^{- 3 i a} + \frac{\left(- 6 i x^{2} + i e^{2 i a}\right) e^{- 2 i a}}{3 x^{3}}"," ",0,"(-log(x - I*exp(I*a)) + log(x + I*exp(I*a)))*exp(-3*I*a) + (-6*I*x**2 + I*exp(2*I*a))*exp(-2*I*a)/(3*x**3)","A",0
143,1,54,0,0.318038," ","integrate(x**3*tan(a+I*ln(x))**2,x)","- \frac{x^{4}}{4} + 2 x^{2} e^{2 i a} - 4 e^{4 i a} \log{\left(x^{2} + e^{2 i a} \right)} - \frac{2 e^{6 i a}}{x^{2} + e^{2 i a}}"," ",0,"-x**4/4 + 2*x**2*exp(2*I*a) - 4*exp(4*I*a)*log(x**2 + exp(2*I*a)) - 2*exp(6*I*a)/(x**2 + exp(2*I*a))","A",0
144,1,66,0,0.323831," ","integrate(x**2*tan(a+I*ln(x))**2,x)","- \frac{x^{3}}{3} + 4 x e^{2 i a} + \frac{2 x e^{4 i a}}{x^{2} + e^{2 i a}} - 3 \left(- i \log{\left(x - i e^{i a} \right)} + i \log{\left(x + i e^{i a} \right)}\right) e^{3 i a}"," ",0,"-x**3/3 + 4*x*exp(2*I*a) + 2*x*exp(4*I*a)/(x**2 + exp(2*I*a)) - 3*(-I*log(x - I*exp(I*a)) + I*log(x + I*exp(I*a)))*exp(3*I*a)","A",0
145,1,42,0,0.286191," ","integrate(x*tan(a+I*ln(x))**2,x)","- \frac{x^{2}}{2} + 2 e^{2 i a} \log{\left(x^{2} + e^{2 i a} \right)} + \frac{2 e^{4 i a}}{x^{2} + e^{2 i a}}"," ",0,"-x**2/2 + 2*exp(2*I*a)*log(x**2 + exp(2*I*a)) + 2*exp(4*I*a)/(x**2 + exp(2*I*a))","A",0
146,1,51,0,0.268766," ","integrate(tan(a+I*ln(x))**2,x)","- x - \frac{2 x e^{2 i a}}{x^{2} + e^{2 i a}} - \left(i \log{\left(x - i e^{i a} \right)} - i \log{\left(x + i e^{i a} \right)}\right) e^{i a}"," ",0,"-x - 2*x*exp(2*I*a)/(x**2 + exp(2*I*a)) - (I*log(x - I*exp(I*a)) - I*log(x + I*exp(I*a)))*exp(I*a)","A",0
147,1,22,0,0.301659," ","integrate(tan(a+I*ln(x))**2/x,x)","- \log{\left(x \right)} - \frac{2 e^{2 i a}}{x^{2} + e^{2 i a}}"," ",0,"-log(x) - 2*exp(2*I*a)/(x**2 + exp(2*I*a))","A",0
148,1,54,0,0.373840," ","integrate(tan(a+I*ln(x))**2/x**2,x)","- \frac{- 3 x^{2} - e^{2 i a}}{x^{3} + x e^{2 i a}} - \left(i \log{\left(x - i e^{i a} \right)} - i \log{\left(x + i e^{i a} \right)}\right) e^{- i a}"," ",0,"-(-3*x**2 - exp(2*I*a))/(x**3 + x*exp(2*I*a)) - (I*log(x - I*exp(I*a)) - I*log(x + I*exp(I*a)))*exp(-I*a)","A",0
149,1,61,0,0.489792," ","integrate(tan(a+I*ln(x))**2/x**3,x)","- \frac{- 5 x^{2} - e^{2 i a}}{2 x^{4} + 2 x^{2} e^{2 i a}} + 4 e^{- 2 i a} \log{\left(x \right)} - 2 e^{- 2 i a} \log{\left(x^{2} + e^{2 i a} \right)}"," ",0,"-(-5*x**2 - exp(2*I*a))/(2*x**4 + 2*x**2*exp(2*I*a)) + 4*exp(-2*I*a)*log(x) - 2*exp(-2*I*a)*log(x**2 + exp(2*I*a))","A",0
150,0,0,0,0.000000," ","integrate((e*x)**m*tan(a+I*ln(x)),x)","\int \left(e x\right)^{m} \tan{\left(a + i \log{\left(x \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*tan(a + I*log(x)), x)","F",0
151,0,0,0,0.000000," ","integrate((e*x)**m*tan(a+I*ln(x))**2,x)","\int \left(e x\right)^{m} \tan^{2}{\left(a + i \log{\left(x \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*tan(a + I*log(x))**2, x)","F",0
152,0,0,0,0.000000," ","integrate((e*x)**m*tan(a+I*ln(x))**3,x)","\int \left(e x\right)^{m} \tan^{3}{\left(a + i \log{\left(x \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*tan(a + I*log(x))**3, x)","F",0
153,0,0,0,0.000000," ","integrate(tan(a+b*ln(x))**p,x)","\int \tan^{p}{\left(a + b \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(tan(a + b*log(x))**p, x)","F",0
154,0,0,0,0.000000," ","integrate((e*x)**m*tan(a+b*ln(x))**p,x)","\int \left(e x\right)^{m} \tan^{p}{\left(a + b \log{\left(x \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*tan(a + b*log(x))**p, x)","F",0
155,0,0,0,0.000000," ","integrate(tan(a+ln(x))**p,x)","\int \tan^{p}{\left(a + \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(tan(a + log(x))**p, x)","F",0
156,0,0,0,0.000000," ","integrate(tan(a+2*ln(x))**p,x)","\int \tan^{p}{\left(a + 2 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(tan(a + 2*log(x))**p, x)","F",0
157,0,0,0,0.000000," ","integrate(tan(a+3*ln(x))**p,x)","\int \tan^{p}{\left(a + 3 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(tan(a + 3*log(x))**p, x)","F",0
158,0,0,0,0.000000," ","integrate(x**3*tan(d*(a+b*ln(c*x**n))),x)","\int x^{3} \tan{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**3*tan(a*d + b*d*log(c*x**n)), x)","F",0
159,0,0,0,0.000000," ","integrate(x**2*tan(d*(a+b*ln(c*x**n))),x)","\int x^{2} \tan{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**2*tan(a*d + b*d*log(c*x**n)), x)","F",0
160,0,0,0,0.000000," ","integrate(x*tan(d*(a+b*ln(c*x**n))),x)","\int x \tan{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*tan(a*d + b*d*log(c*x**n)), x)","F",0
161,0,0,0,0.000000," ","integrate(tan(d*(a+b*ln(c*x**n))),x)","\int \tan{\left(d \left(a + b \log{\left(c x^{n} \right)}\right) \right)}\, dx"," ",0,"Integral(tan(d*(a + b*log(c*x**n))), x)","F",0
162,1,44,0,4.134148," ","integrate(tan(d*(a+b*ln(c*x**n)))/x,x)","\begin{cases} \log{\left(x \right)} \tan{\left(a d \right)} & \text{for}\: b = 0 \\0 & \text{for}\: d = 0 \\\log{\left(x \right)} \tan{\left(a d + b d \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\- \frac{\log{\left(\cos{\left(a d + b d \log{\left(c x^{n} \right)} \right)} \right)}}{b d n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*tan(a*d), Eq(b, 0)), (0, Eq(d, 0)), (log(x)*tan(a*d + b*d*log(c)), Eq(n, 0)), (-log(cos(a*d + b*d*log(c*x**n)))/(b*d*n), True))","A",0
163,0,0,0,0.000000," ","integrate(tan(d*(a+b*ln(c*x**n)))/x**2,x)","\int \frac{\tan{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(tan(a*d + b*d*log(c*x**n))/x**2, x)","F",0
164,0,0,0,0.000000," ","integrate(tan(d*(a+b*ln(c*x**n)))/x**3,x)","\int \frac{\tan{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(tan(a*d + b*d*log(c*x**n))/x**3, x)","F",0
165,-1,0,0,0.000000," ","integrate(x**3*tan(d*(a+b*ln(c*x**n)))**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
166,0,0,0,0.000000," ","integrate(x**2*tan(d*(a+b*ln(c*x**n)))**2,x)","\int x^{2} \tan^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**2*tan(a*d + b*d*log(c*x**n))**2, x)","F",0
167,0,0,0,0.000000," ","integrate(x*tan(d*(a+b*ln(c*x**n)))**2,x)","\int x \tan^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*tan(a*d + b*d*log(c*x**n))**2, x)","F",0
168,0,0,0,0.000000," ","integrate(tan(d*(a+b*ln(c*x**n)))**2,x)","\int \tan^{2}{\left(d \left(a + b \log{\left(c x^{n} \right)}\right) \right)}\, dx"," ",0,"Integral(tan(d*(a + b*log(c*x**n)))**2, x)","F",0
169,0,0,0,0.000000," ","integrate(tan(d*(a+b*ln(c*x**n)))**2/x,x)","\int \frac{\tan^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(tan(a*d + b*d*log(c*x**n))**2/x, x)","F",0
170,0,0,0,0.000000," ","integrate(tan(d*(a+b*ln(c*x**n)))**2/x**2,x)","\int \frac{\tan^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(tan(a*d + b*d*log(c*x**n))**2/x**2, x)","F",0
171,0,0,0,0.000000," ","integrate(tan(d*(a+b*ln(c*x**n)))**2/x**3,x)","\int \frac{\tan^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(tan(a*d + b*d*log(c*x**n))**2/x**3, x)","F",0
172,1,70,0,3.815607," ","integrate(tan(a+b*ln(c*x**n))**3/x,x)","\begin{cases} \log{\left(x \right)} \tan^{3}{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \tan^{3}{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\- \frac{\log{\left(\tan^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} + 1 \right)}}{2 b n} + \frac{\tan^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{2 b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*tan(a)**3, Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*tan(a + b*log(c))**3, Eq(n, 0)), (-log(tan(a + b*n*log(x) + b*log(c))**2 + 1)/(2*b*n) + tan(a + b*n*log(x) + b*log(c))**2/(2*b*n), True))","A",0
173,1,66,0,9.296635," ","integrate(tan(a+b*ln(c*x**n))**4/x,x)","\begin{cases} \log{\left(x \right)} \tan^{4}{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \tan^{4}{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\log{\left(x \right)} + \frac{\tan^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{3 b n} - \frac{\tan{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*tan(a)**4, Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*tan(a + b*log(c))**4, Eq(n, 0)), (log(x) + tan(a + b*n*log(x) + b*log(c))**3/(3*b*n) - tan(a + b*n*log(x) + b*log(c))/(b*n), True))","A",0
174,1,92,0,21.872575," ","integrate(tan(a+b*ln(c*x**n))**5/x,x)","\begin{cases} \log{\left(x \right)} \tan^{5}{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \tan^{5}{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{\log{\left(\tan^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)} + 1 \right)}}{2 b n} + \frac{\tan^{4}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{4 b n} - \frac{\tan^{2}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{2 b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*tan(a)**5, Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*tan(a + b*log(c))**5, Eq(n, 0)), (log(tan(a + b*n*log(x) + b*log(c))**2 + 1)/(2*b*n) + tan(a + b*n*log(x) + b*log(c))**4/(4*b*n) - tan(a + b*n*log(x) + b*log(c))**2/(2*b*n), True))","A",0
175,0,0,0,0.000000," ","integrate((e*x)**m*tan(d*(a+b*ln(c*x**n))),x)","\int \left(e x\right)^{m} \tan{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*tan(a*d + b*d*log(c*x**n)), x)","F",0
176,0,0,0,0.000000," ","integrate((e*x)**m*tan(d*(a+b*ln(c*x**n)))**2,x)","\int \left(e x\right)^{m} \tan^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*tan(a*d + b*d*log(c*x**n))**2, x)","F",0
177,0,0,0,0.000000," ","integrate((e*x)**m*tan(d*(a+b*ln(c*x**n)))**3,x)","\int \left(e x\right)^{m} \tan^{3}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*tan(a*d + b*d*log(c*x**n))**3, x)","F",0
178,0,0,0,0.000000," ","integrate(tan(d*(a+b*ln(c*x**n)))**p,x)","\int \tan^{p}{\left(d \left(a + b \log{\left(c x^{n} \right)}\right) \right)}\, dx"," ",0,"Integral(tan(d*(a + b*log(c*x**n)))**p, x)","F",0
179,-1,0,0,0.000000," ","integrate((e*x)**m*tan(d*(a+b*ln(c*x**n)))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
180,-1,0,0,0.000000," ","integrate(tan(a+b*ln(c*x**n))**(5/2)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
181,0,0,0,0.000000," ","integrate(tan(a+b*ln(c*x**n))**(3/2)/x,x)","\int \frac{\tan^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(tan(a + b*log(c*x**n))**(3/2)/x, x)","F",0
182,0,0,0,0.000000," ","integrate(tan(a+b*ln(c*x**n))**(1/2)/x,x)","\int \frac{\sqrt{\tan{\left(a + b \log{\left(c x^{n} \right)} \right)}}}{x}\, dx"," ",0,"Integral(sqrt(tan(a + b*log(c*x**n)))/x, x)","F",0
183,0,0,0,0.000000," ","integrate(1/x/tan(a+b*ln(c*x**n))**(1/2),x)","\int \frac{1}{x \sqrt{\tan{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(1/(x*sqrt(tan(a + b*log(c*x**n)))), x)","F",0
184,0,0,0,0.000000," ","integrate(1/x/tan(a+b*ln(c*x**n))**(3/2),x)","\int \frac{1}{x \tan^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(1/(x*tan(a + b*log(c*x**n))**(3/2)), x)","F",0
185,-1,0,0,0.000000," ","integrate(1/x/tan(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
186,1,39,0,0.221251," ","integrate(x**3*cot(a+I*ln(x)),x)","- \frac{i x^{4}}{4} - i x^{2} e^{2 i a} - i e^{4 i a} \log{\left(x^{2} - e^{2 i a} \right)}"," ",0,"-I*x**4/4 - I*x**2*exp(2*I*a) - I*exp(4*I*a)*log(x**2 - exp(2*I*a))","A",0
187,1,63,0,0.202795," ","integrate(x**2*cot(a+I*ln(x)),x)","- \frac{i x^{3}}{3} - 2 i x e^{2 i a} - \left(i \log{\left(x e^{2 i a} - e^{3 i a} \right)} - i \log{\left(x e^{2 i a} + e^{3 i a} \right)}\right) e^{3 i a}"," ",0,"-I*x**3/3 - 2*I*x*exp(2*I*a) - (I*log(x*exp(2*I*a) - exp(3*I*a)) - I*log(x*exp(2*I*a) + exp(3*I*a)))*exp(3*I*a)","A",0
188,1,27,0,0.197975," ","integrate(x*cot(a+I*ln(x)),x)","- \frac{i x^{2}}{2} - i e^{2 i a} \log{\left(x^{2} - e^{2 i a} \right)}"," ",0,"-I*x**2/2 - I*exp(2*I*a)*log(x**2 - exp(2*I*a))","A",0
189,1,29,0,0.180876," ","integrate(cot(a+I*ln(x)),x)","- i x - \left(i \log{\left(x - e^{i a} \right)} - i \log{\left(x + e^{i a} \right)}\right) e^{i a}"," ",0,"-I*x - (I*log(x - exp(I*a)) - I*log(x + exp(I*a)))*exp(I*a)","A",0
190,1,17,0,0.267240," ","integrate(cot(a+I*ln(x))/x,x)","i \log{\left(x \right)} - i \log{\left(x^{2} - e^{2 i a} \right)}"," ",0,"I*log(x) - I*log(x**2 - exp(2*I*a))","A",0
191,1,29,0,0.224289," ","integrate(cot(a+I*ln(x))/x**2,x)","- \left(i \log{\left(x - e^{i a} \right)} - i \log{\left(x + e^{i a} \right)}\right) e^{- i a} - \frac{i}{x}"," ",0,"-(I*log(x - exp(I*a)) - I*log(x + exp(I*a)))*exp(-I*a) - I/x","A",0
192,1,39,0,0.363679," ","integrate(cot(a+I*ln(x))/x**3,x)","2 i e^{- 2 i a} \log{\left(x \right)} - i e^{- 2 i a} \log{\left(x^{2} - e^{2 i a} \right)} - \frac{i}{2 x^{2}}"," ",0,"2*I*exp(-2*I*a)*log(x) - I*exp(-2*I*a)*log(x**2 - exp(2*I*a)) - I/(2*x**2)","A",0
193,1,54,0,0.296767," ","integrate(cot(a+I*ln(x))/x**4,x)","- \left(i \log{\left(x - e^{i a} \right)} - i \log{\left(x + e^{i a} \right)}\right) e^{- 3 i a} - \frac{\left(6 i x^{2} + i e^{2 i a}\right) e^{- 2 i a}}{3 x^{3}}"," ",0,"-(I*log(x - exp(I*a)) - I*log(x + exp(I*a)))*exp(-3*I*a) - (6*I*x**2 + I*exp(2*I*a))*exp(-2*I*a)/(3*x**3)","A",0
194,1,54,0,0.319269," ","integrate(x**3*cot(a+I*ln(x))**2,x)","- \frac{x^{4}}{4} - 2 x^{2} e^{2 i a} - 4 e^{4 i a} \log{\left(x^{2} - e^{2 i a} \right)} + \frac{2 e^{6 i a}}{x^{2} - e^{2 i a}}"," ",0,"-x**4/4 - 2*x**2*exp(2*I*a) - 4*exp(4*I*a)*log(x**2 - exp(2*I*a)) + 2*exp(6*I*a)/(x**2 - exp(2*I*a))","A",0
195,1,60,0,0.328084," ","integrate(x**2*cot(a+I*ln(x))**2,x)","- \frac{x^{3}}{3} - 4 x e^{2 i a} + \frac{2 x e^{4 i a}}{x^{2} - e^{2 i a}} - 3 \left(\log{\left(x - e^{i a} \right)} - \log{\left(x + e^{i a} \right)}\right) e^{3 i a}"," ",0,"-x**3/3 - 4*x*exp(2*I*a) + 2*x*exp(4*I*a)/(x**2 - exp(2*I*a)) - 3*(log(x - exp(I*a)) - log(x + exp(I*a)))*exp(3*I*a)","A",0
196,1,42,0,0.286592," ","integrate(x*cot(a+I*ln(x))**2,x)","- \frac{x^{2}}{2} - 2 e^{2 i a} \log{\left(x^{2} - e^{2 i a} \right)} + \frac{2 e^{4 i a}}{x^{2} - e^{2 i a}}"," ",0,"-x**2/2 - 2*exp(2*I*a)*log(x**2 - exp(2*I*a)) + 2*exp(4*I*a)/(x**2 - exp(2*I*a))","A",0
197,1,42,0,0.273377," ","integrate(cot(a+I*ln(x))**2,x)","- x + \frac{2 x e^{2 i a}}{x^{2} - e^{2 i a}} - \left(\log{\left(x - e^{i a} \right)} - \log{\left(x + e^{i a} \right)}\right) e^{i a}"," ",0,"-x + 2*x*exp(2*I*a)/(x**2 - exp(2*I*a)) - (log(x - exp(I*a)) - log(x + exp(I*a)))*exp(I*a)","A",0
198,1,20,0,0.306677," ","integrate(cot(a+I*ln(x))**2/x,x)","- \log{\left(x \right)} + \frac{2 e^{2 i a}}{x^{2} - e^{2 i a}}"," ",0,"-log(x) + 2*exp(2*I*a)/(x**2 - exp(2*I*a))","A",0
199,1,46,0,0.379229," ","integrate(cot(a+I*ln(x))**2/x**2,x)","- \frac{- 3 x^{2} + e^{2 i a}}{x^{3} - x e^{2 i a}} - \left(- \log{\left(x - e^{i a} \right)} + \log{\left(x + e^{i a} \right)}\right) e^{- i a}"," ",0,"-(-3*x**2 + exp(2*I*a))/(x**3 - x*exp(2*I*a)) - (-log(x - exp(I*a)) + log(x + exp(I*a)))*exp(-I*a)","A",0
200,1,60,0,0.493113," ","integrate(cot(a+I*ln(x))**2/x**3,x)","- \frac{- 5 x^{2} + e^{2 i a}}{2 x^{4} - 2 x^{2} e^{2 i a}} - 4 e^{- 2 i a} \log{\left(x \right)} + 2 e^{- 2 i a} \log{\left(x^{2} - e^{2 i a} \right)}"," ",0,"-(-5*x**2 + exp(2*I*a))/(2*x**4 - 2*x**2*exp(2*I*a)) - 4*exp(-2*I*a)*log(x) + 2*exp(-2*I*a)*log(x**2 - exp(2*I*a))","A",0
201,0,0,0,0.000000," ","integrate((e*x)**m*cot(a+I*ln(x)),x)","\int \left(e x\right)^{m} \cot{\left(a + i \log{\left(x \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*cot(a + I*log(x)), x)","F",0
202,0,0,0,0.000000," ","integrate((e*x)**m*cot(a+I*ln(x))**2,x)","\int \left(e x\right)^{m} \cot^{2}{\left(a + i \log{\left(x \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*cot(a + I*log(x))**2, x)","F",0
203,0,0,0,0.000000," ","integrate((e*x)**m*cot(a+I*ln(x))**3,x)","\int \left(e x\right)^{m} \cot^{3}{\left(a + i \log{\left(x \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*cot(a + I*log(x))**3, x)","F",0
204,0,0,0,0.000000," ","integrate(cot(a+b*ln(x))**p,x)","\int \cot^{p}{\left(a + b \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(cot(a + b*log(x))**p, x)","F",0
205,0,0,0,0.000000," ","integrate((e*x)**m*cot(a+b*ln(x))**p,x)","\int \left(e x\right)^{m} \cot^{p}{\left(a + b \log{\left(x \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*cot(a + b*log(x))**p, x)","F",0
206,0,0,0,0.000000," ","integrate(cot(a+ln(x))**p,x)","\int \cot^{p}{\left(a + \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(cot(a + log(x))**p, x)","F",0
207,0,0,0,0.000000," ","integrate(cot(a+2*ln(x))**p,x)","\int \cot^{p}{\left(a + 2 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(cot(a + 2*log(x))**p, x)","F",0
208,0,0,0,0.000000," ","integrate(cot(a+3*ln(x))**p,x)","\int \cot^{p}{\left(a + 3 \log{\left(x \right)} \right)}\, dx"," ",0,"Integral(cot(a + 3*log(x))**p, x)","F",0
209,0,0,0,0.000000," ","integrate(x**3*cot(d*(a+b*ln(c*x**n))),x)","\int x^{3} \cot{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**3*cot(a*d + b*d*log(c*x**n)), x)","F",0
210,0,0,0,0.000000," ","integrate(x**2*cot(d*(a+b*ln(c*x**n))),x)","\int x^{2} \cot{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**2*cot(a*d + b*d*log(c*x**n)), x)","F",0
211,0,0,0,0.000000," ","integrate(x*cot(d*(a+b*ln(c*x**n))),x)","\int x \cot{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*cot(a*d + b*d*log(c*x**n)), x)","F",0
212,0,0,0,0.000000," ","integrate(cot(d*(a+b*ln(c*x**n))),x)","\int \cot{\left(d \left(a + b \log{\left(c x^{n} \right)}\right) \right)}\, dx"," ",0,"Integral(cot(d*(a + b*log(c*x**n))), x)","F",0
213,1,46,0,4.135298," ","integrate(cot(d*(a+b*ln(c*x**n)))/x,x)","\begin{cases} \log{\left(x \right)} \cot{\left(a d \right)} & \text{for}\: b = 0 \\\tilde{\infty} \log{\left(x \right)} & \text{for}\: d = 0 \\\log{\left(x \right)} \cot{\left(a d + b d \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{\log{\left(\sin{\left(a d + b d \log{\left(c x^{n} \right)} \right)} \right)}}{b d n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*cot(a*d), Eq(b, 0)), (zoo*log(x), Eq(d, 0)), (log(x)*cot(a*d + b*d*log(c)), Eq(n, 0)), (log(sin(a*d + b*d*log(c*x**n)))/(b*d*n), True))","A",0
214,0,0,0,0.000000," ","integrate(cot(d*(a+b*ln(c*x**n)))/x**2,x)","\int \frac{\cot{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(cot(a*d + b*d*log(c*x**n))/x**2, x)","F",0
215,0,0,0,0.000000," ","integrate(cot(d*(a+b*ln(c*x**n)))/x**3,x)","\int \frac{\cot{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(cot(a*d + b*d*log(c*x**n))/x**3, x)","F",0
216,0,0,0,0.000000," ","integrate(x**3*cot(d*(a+b*ln(c*x**n)))**2,x)","\int x^{3} \cot^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**3*cot(a*d + b*d*log(c*x**n))**2, x)","F",0
217,0,0,0,0.000000," ","integrate(x**2*cot(d*(a+b*ln(c*x**n)))**2,x)","\int x^{2} \cot^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**2*cot(a*d + b*d*log(c*x**n))**2, x)","F",0
218,0,0,0,0.000000," ","integrate(x*cot(d*(a+b*ln(c*x**n)))**2,x)","\int x \cot^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*cot(a*d + b*d*log(c*x**n))**2, x)","F",0
219,0,0,0,0.000000," ","integrate(cot(d*(a+b*ln(c*x**n)))**2,x)","\int \cot^{2}{\left(d \left(a + b \log{\left(c x^{n} \right)}\right) \right)}\, dx"," ",0,"Integral(cot(d*(a + b*log(c*x**n)))**2, x)","F",0
220,0,0,0,0.000000," ","integrate(cot(d*(a+b*ln(c*x**n)))**2/x,x)","\int \frac{\cot^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(cot(a*d + b*d*log(c*x**n))**2/x, x)","F",0
221,0,0,0,0.000000," ","integrate(cot(d*(a+b*ln(c*x**n)))**2/x**2,x)","\int \frac{\cot^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(cot(a*d + b*d*log(c*x**n))**2/x**2, x)","F",0
222,0,0,0,0.000000," ","integrate(cot(d*(a+b*ln(c*x**n)))**2/x**3,x)","\int \frac{\cot^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(cot(a*d + b*d*log(c*x**n))**2/x**3, x)","F",0
223,-1,0,0,0.000000," ","integrate(cot(a+b*ln(c*x**n))**3/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
224,1,66,0,8.049716," ","integrate(cot(a+b*ln(c*x**n))**4/x,x)","\begin{cases} \log{\left(x \right)} \cot^{4}{\left(a \right)} & \text{for}\: b = 0 \wedge \left(b = 0 \vee n = 0\right) \\\log{\left(x \right)} \cot^{4}{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\log{\left(x \right)} - \frac{\cot^{3}{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{3 b n} + \frac{\cot{\left(a + b n \log{\left(x \right)} + b \log{\left(c \right)} \right)}}{b n} & \text{otherwise} \end{cases}"," ",0,"Piecewise((log(x)*cot(a)**4, Eq(b, 0) & (Eq(b, 0) | Eq(n, 0))), (log(x)*cot(a + b*log(c))**4, Eq(n, 0)), (log(x) - cot(a + b*n*log(x) + b*log(c))**3/(3*b*n) + cot(a + b*n*log(x) + b*log(c))/(b*n), True))","A",0
225,-1,0,0,0.000000," ","integrate(cot(a+b*ln(c*x**n))**5/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
226,0,0,0,0.000000," ","integrate((e*x)**m*cot(d*(a+b*ln(c*x**n))),x)","\int \left(e x\right)^{m} \cot{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*cot(a*d + b*d*log(c*x**n)), x)","F",0
227,0,0,0,0.000000," ","integrate((e*x)**m*cot(d*(a+b*ln(c*x**n)))**2,x)","\int \left(e x\right)^{m} \cot^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*cot(a*d + b*d*log(c*x**n))**2, x)","F",0
228,0,0,0,0.000000," ","integrate((e*x)**m*cot(d*(a+b*ln(c*x**n)))**3,x)","\int \left(e x\right)^{m} \cot^{3}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*cot(a*d + b*d*log(c*x**n))**3, x)","F",0
229,0,0,0,0.000000," ","integrate(cot(d*(a+b*ln(c*x**n)))**p,x)","\int \cot^{p}{\left(d \left(a + b \log{\left(c x^{n} \right)}\right) \right)}\, dx"," ",0,"Integral(cot(d*(a + b*log(c*x**n)))**p, x)","F",0
230,-1,0,0,0.000000," ","integrate((e*x)**m*cot(d*(a+b*ln(c*x**n)))**p,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
231,-1,0,0,0.000000," ","integrate(cot(a+b*ln(c*x**n))**(5/2)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
232,0,0,0,0.000000," ","integrate(cot(a+b*ln(c*x**n))**(3/2)/x,x)","\int \frac{\cot^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(cot(a + b*log(c*x**n))**(3/2)/x, x)","F",0
233,0,0,0,0.000000," ","integrate(cot(a+b*ln(c*x**n))**(1/2)/x,x)","\int \frac{\sqrt{\cot{\left(a + b \log{\left(c x^{n} \right)} \right)}}}{x}\, dx"," ",0,"Integral(sqrt(cot(a + b*log(c*x**n)))/x, x)","F",0
234,0,0,0,0.000000," ","integrate(1/x/cot(a+b*ln(c*x**n))**(1/2),x)","\int \frac{1}{x \sqrt{\cot{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(1/(x*sqrt(cot(a + b*log(c*x**n)))), x)","F",0
235,0,0,0,0.000000," ","integrate(1/x/cot(a+b*ln(c*x**n))**(3/2),x)","\int \frac{1}{x \cot^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(1/(x*cot(a + b*log(c*x**n))**(3/2)), x)","F",0
236,-1,0,0,0.000000," ","integrate(1/x/cot(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
237,0,0,0,0.000000," ","integrate(x**2*sec(a+b*ln(c*x**n)),x)","\int x^{2} \sec{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**2*sec(a + b*log(c*x**n)), x)","F",0
238,0,0,0,0.000000," ","integrate(x*sec(a+b*ln(c*x**n)),x)","\int x \sec{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*sec(a + b*log(c*x**n)), x)","F",0
239,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n)),x)","\int \sec{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n)), x)","F",0
240,1,51,0,2.257187," ","integrate(sec(a+b*ln(c*x**n))/x,x)","- \begin{cases} - \log{\left(x \right)} \sec{\left(a \right)} & \text{for}\: b = 0 \\- \log{\left(x \right)} \sec{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\- \frac{\log{\left(\tan{\left(a + b \log{\left(c x^{n} \right)} \right)} + \sec{\left(a + b \log{\left(c x^{n} \right)} \right)} \right)}}{b n} & \text{otherwise} \end{cases}"," ",0,"-Piecewise((-log(x)*sec(a), Eq(b, 0)), (-log(x)*sec(a + b*log(c)), Eq(n, 0)), (-log(tan(a + b*log(c*x**n)) + sec(a + b*log(c*x**n)))/(b*n), True))","A",0
241,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))/x**2,x)","\int \frac{\sec{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))/x**2, x)","F",0
242,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))/x**3,x)","\int \frac{\sec{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))/x**3, x)","F",0
243,0,0,0,0.000000," ","integrate(x**2*sec(a+b*ln(c*x**n))**2,x)","\int x^{2} \sec^{2}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**2*sec(a + b*log(c*x**n))**2, x)","F",0
244,0,0,0,0.000000," ","integrate(x*sec(a+b*ln(c*x**n))**2,x)","\int x \sec^{2}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*sec(a + b*log(c*x**n))**2, x)","F",0
245,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**2,x)","\int \sec^{2}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**2, x)","F",0
246,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**2/x,x)","\int \frac{\sec^{2}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**2/x, x)","F",0
247,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**2/x**2,x)","\int \frac{\sec^{2}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**2/x**2, x)","F",0
248,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**2/x**3,x)","\int \frac{\sec^{2}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**2/x**3, x)","F",0
249,0,0,0,0.000000," ","integrate(x*sec(a+b*ln(c*x**n))**3,x)","\int x \sec^{3}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*sec(a + b*log(c*x**n))**3, x)","F",0
250,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**3,x)","\int \sec^{3}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**3, x)","F",0
251,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**3/x,x)","\int \frac{\sec^{3}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**3/x, x)","F",0
252,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**3/x**2,x)","\int \frac{\sec^{3}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**3/x**2, x)","F",0
253,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**3/x**3,x)","\int \frac{\sec^{3}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**3/x**3, x)","F",0
254,0,0,0,0.000000," ","integrate(x*sec(a+b*ln(c*x**n))**4,x)","\int x \sec^{4}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*sec(a + b*log(c*x**n))**4, x)","F",0
255,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**4,x)","\int \sec^{4}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**4, x)","F",0
256,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**4/x,x)","\int \frac{\sec^{4}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**4/x, x)","F",0
257,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**4/x**2,x)","\int \frac{\sec^{4}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**4/x**2, x)","F",0
258,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**4/x**3,x)","\int \frac{\sec^{4}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**4/x**3, x)","F",0
259,0,0,0,0.000000," ","integrate(-(b**2*n**2+1)*sec(a+b*ln(c*x**n))+2*b**2*n**2*sec(a+b*ln(c*x**n))**3,x)","\int \left(2 b^{2} n^{2} \sec^{2}{\left(a + b \log{\left(c x^{n} \right)} \right)} - b^{2} n^{2} - 1\right) \sec{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((2*b**2*n**2*sec(a + b*log(c*x**n))**2 - b**2*n**2 - 1)*sec(a + b*log(c*x**n)), x)","F",0
260,-1,0,0,0.000000," ","integrate(x**m*sec(a+2*ln(c*x**(1/2*(-(1+m)**2)**(1/2))))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
261,0,0,0,0.000000," ","integrate(x*sec(a+2*ln(c*x**I))**3,x)","\int x \sec^{3}{\left(a + 2 \log{\left(c x^{i} \right)} \right)}\, dx"," ",0,"Integral(x*sec(a + 2*log(c*x**I))**3, x)","F",0
262,0,0,0,0.000000," ","integrate(sec(a+2*ln(c*x**(1/2*I)))**3,x)","\int \sec^{3}{\left(a + 2 \log{\left(c x^{\frac{i}{2}} \right)} \right)}\, dx"," ",0,"Integral(sec(a + 2*log(c*x**(I/2)))**3, x)","F",0
263,0,0,0,0.000000," ","integrate(sec(a+2*ln(c/(x**(1/2*I))))**3,x)","\int \sec^{3}{\left(a + 2 \log{\left(c x^{- \frac{i}{2}} \right)} \right)}\, dx"," ",0,"Integral(sec(a + 2*log(c*x**(-I/2)))**3, x)","F",0
264,0,0,0,0.000000," ","integrate(sec(a+I*ln(c*x**n)/n/(-2+p))**p,x)","\int \sec^{p}{\left(a + \frac{i \log{\left(c x^{n} \right)}}{n \left(p - 2\right)} \right)}\, dx"," ",0,"Integral(sec(a + I*log(c*x**n)/(n*(p - 2)))**p, x)","F",0
265,0,0,0,0.000000," ","integrate(sec(a-I*ln(c*x**n)/n/(-2+p))**p,x)","\int \sec^{p}{\left(a - \frac{i \log{\left(c x^{n} \right)}}{n \left(p - 2\right)} \right)}\, dx"," ",0,"Integral(sec(a - I*log(c*x**n)/(n*(p - 2)))**p, x)","F",0
266,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**(1/2),x)","\int \sqrt{\sec{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(sqrt(sec(a + b*log(c*x**n))), x)","F",0
267,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**(1/2)/x,x)","\int \frac{\sqrt{\sec{\left(a + b \log{\left(c x^{n} \right)} \right)}}}{x}\, dx"," ",0,"Integral(sqrt(sec(a + b*log(c*x**n)))/x, x)","F",0
268,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**(3/2),x)","\int \sec^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**(3/2), x)","F",0
269,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**(3/2)/x,x)","\int \frac{\sec^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**(3/2)/x, x)","F",0
270,-1,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
271,-1,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**(5/2)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
272,0,0,0,0.000000," ","integrate(1/sec(a+b*ln(c*x**n))**(1/2),x)","\int \frac{1}{\sqrt{\sec{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(1/sqrt(sec(a + b*log(c*x**n))), x)","F",0
273,0,0,0,0.000000," ","integrate(1/x/sec(a+b*ln(c*x**n))**(1/2),x)","\int \frac{1}{x \sqrt{\sec{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(1/(x*sqrt(sec(a + b*log(c*x**n)))), x)","F",0
274,0,0,0,0.000000," ","integrate(1/sec(a+b*ln(c*x**n))**(3/2),x)","\int \frac{1}{\sec^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**(-3/2), x)","F",0
275,0,0,0,0.000000," ","integrate(1/x/sec(a+b*ln(c*x**n))**(3/2),x)","\int \frac{1}{x \sec^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(1/(x*sec(a + b*log(c*x**n))**(3/2)), x)","F",0
276,-1,0,0,0.000000," ","integrate(1/sec(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
277,-1,0,0,0.000000," ","integrate(1/x/sec(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
278,0,0,0,0.000000," ","integrate(x**m*sec(a+b*ln(c*x**n))**3,x)","\int x^{m} \sec^{3}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**m*sec(a + b*log(c*x**n))**3, x)","F",0
279,0,0,0,0.000000," ","integrate(x**m*sec(a+b*ln(c*x**n))**2,x)","\int x^{m} \sec^{2}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**m*sec(a + b*log(c*x**n))**2, x)","F",0
280,0,0,0,0.000000," ","integrate(x**m*sec(a+b*ln(c*x**n)),x)","\int x^{m} \sec{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**m*sec(a + b*log(c*x**n)), x)","F",0
281,-1,0,0,0.000000," ","integrate(x**m*sec(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
282,-1,0,0,0.000000," ","integrate(x**m*sec(a+b*ln(c*x**n))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
283,0,0,0,0.000000," ","integrate(x**m*sec(a+b*ln(c*x**n))**(1/2),x)","\int x^{m} \sqrt{\sec{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(x**m*sqrt(sec(a + b*log(c*x**n))), x)","F",0
284,0,0,0,0.000000," ","integrate(x**m/sec(a+b*ln(c*x**n))**(1/2),x)","\int \frac{x^{m}}{\sqrt{\sec{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(x**m/sqrt(sec(a + b*log(c*x**n))), x)","F",0
285,0,0,0,0.000000," ","integrate(x**m/sec(a+b*ln(c*x**n))**(3/2),x)","\int \frac{x^{m}}{\sec^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(x**m/sec(a + b*log(c*x**n))**(3/2), x)","F",0
286,0,0,0,0.000000," ","integrate((e*x)**m*sec(d*(a+b*ln(c*x**n)))**p,x)","\int \left(e x\right)^{m} \sec^{p}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*sec(a*d + b*d*log(c*x**n))**p, x)","F",0
287,0,0,0,0.000000," ","integrate(x*sec(a+b*ln(c*x**n))**p,x)","\int x \sec^{p}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*sec(a + b*log(c*x**n))**p, x)","F",0
288,0,0,0,0.000000," ","integrate(sec(a+b*ln(c*x**n))**p,x)","\int \sec^{p}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(sec(a + b*log(c*x**n))**p, x)","F",0
289,0,0,0,0.000000," ","integrate(x**2*csc(a+b*ln(c*x**n)),x)","\int x^{2} \csc{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x**2*csc(a + b*log(c*x**n)), x)","F",0
290,0,0,0,0.000000," ","integrate(x*csc(a+b*ln(c*x**n)),x)","\int x \csc{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*csc(a + b*log(c*x**n)), x)","F",0
291,0,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n)),x)","\int \csc{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(csc(a + b*log(c*x**n)), x)","F",0
292,1,49,0,2.291304," ","integrate(csc(a+b*ln(c*x**n))/x,x)","- \begin{cases} - \log{\left(x \right)} \csc{\left(a \right)} & \text{for}\: b = 0 \\- \log{\left(x \right)} \csc{\left(a + b \log{\left(c \right)} \right)} & \text{for}\: n = 0 \\\frac{\log{\left(\cot{\left(a + b \log{\left(c x^{n} \right)} \right)} + \csc{\left(a + b \log{\left(c x^{n} \right)} \right)} \right)}}{b n} & \text{otherwise} \end{cases}"," ",0,"-Piecewise((-log(x)*csc(a), Eq(b, 0)), (-log(x)*csc(a + b*log(c)), Eq(n, 0)), (log(cot(a + b*log(c*x**n)) + csc(a + b*log(c*x**n)))/(b*n), True))","A",0
293,0,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))/x**2,x)","\int \frac{\csc{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x^{2}}\, dx"," ",0,"Integral(csc(a + b*log(c*x**n))/x**2, x)","F",0
294,0,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))/x**3,x)","\int \frac{\csc{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x^{3}}\, dx"," ",0,"Integral(csc(a + b*log(c*x**n))/x**3, x)","F",0
295,0,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))**2,x)","\int \csc^{2}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(csc(a + b*log(c*x**n))**2, x)","F",0
296,0,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))**2/x,x)","\int \frac{\csc^{2}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(csc(a + b*log(c*x**n))**2/x, x)","F",0
297,0,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))**3,x)","\int \csc^{3}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(csc(a + b*log(c*x**n))**3, x)","F",0
298,0,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))**3/x,x)","\int \frac{\csc^{3}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(csc(a + b*log(c*x**n))**3/x, x)","F",0
299,0,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))**4,x)","\int \csc^{4}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(csc(a + b*log(c*x**n))**4, x)","F",0
300,0,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))**4/x,x)","\int \frac{\csc^{4}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(csc(a + b*log(c*x**n))**4/x, x)","F",0
301,0,0,0,0.000000," ","integrate(-(b**2*n**2+1)*csc(a+b*ln(c*x**n))+2*b**2*n**2*csc(a+b*ln(c*x**n))**3,x)","\int \left(2 b^{2} n^{2} \csc^{2}{\left(a + b \log{\left(c x^{n} \right)} \right)} - b^{2} n^{2} - 1\right) \csc{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((2*b**2*n**2*csc(a + b*log(c*x**n))**2 - b**2*n**2 - 1)*csc(a + b*log(c*x**n)), x)","F",0
302,-1,0,0,0.000000," ","integrate(x**m*csc(a+2*ln(c*x**(1/2*(-(1+m)**2)**(1/2))))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
303,0,0,0,0.000000," ","integrate(x*csc(a+2*ln(c*x**I))**3,x)","\int x \csc^{3}{\left(a + 2 \log{\left(c x^{i} \right)} \right)}\, dx"," ",0,"Integral(x*csc(a + 2*log(c*x**I))**3, x)","F",0
304,0,0,0,0.000000," ","integrate(csc(a+2*ln(c*x**(1/2*I)))**3,x)","\int \csc^{3}{\left(a + 2 \log{\left(c x^{\frac{i}{2}} \right)} \right)}\, dx"," ",0,"Integral(csc(a + 2*log(c*x**(I/2)))**3, x)","F",0
305,0,0,0,0.000000," ","integrate(csc(a+2*ln(c/(x**(1/2*I))))**3,x)","\int \csc^{3}{\left(a + 2 \log{\left(c x^{- \frac{i}{2}} \right)} \right)}\, dx"," ",0,"Integral(csc(a + 2*log(c*x**(-I/2)))**3, x)","F",0
306,0,0,0,0.000000," ","integrate(csc(a+I*ln(c*x**n)/n/(-2+p))**p,x)","\int \csc^{p}{\left(a + \frac{i \log{\left(c x^{n} \right)}}{n \left(p - 2\right)} \right)}\, dx"," ",0,"Integral(csc(a + I*log(c*x**n)/(n*(p - 2)))**p, x)","F",0
307,0,0,0,0.000000," ","integrate(csc(a-I*ln(c*x**n)/n/(-2+p))**p,x)","\int \csc^{p}{\left(a - \frac{i \log{\left(c x^{n} \right)}}{n \left(p - 2\right)} \right)}\, dx"," ",0,"Integral(csc(a - I*log(c*x**n)/(n*(p - 2)))**p, x)","F",0
308,0,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))**(1/2),x)","\int \sqrt{\csc{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(sqrt(csc(a + b*log(c*x**n))), x)","F",0
309,0,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))**(1/2)/x,x)","\int \frac{\sqrt{\csc{\left(a + b \log{\left(c x^{n} \right)} \right)}}}{x}\, dx"," ",0,"Integral(sqrt(csc(a + b*log(c*x**n)))/x, x)","F",0
310,0,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))**(3/2),x)","\int \csc^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(csc(a + b*log(c*x**n))**(3/2), x)","F",0
311,0,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))**(3/2)/x,x)","\int \frac{\csc^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}{x}\, dx"," ",0,"Integral(csc(a + b*log(c*x**n))**(3/2)/x, x)","F",0
312,-1,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
313,-1,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))**(5/2)/x,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
314,0,0,0,0.000000," ","integrate(1/csc(a+b*ln(c*x**n))**(1/2),x)","\int \frac{1}{\sqrt{\csc{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(1/sqrt(csc(a + b*log(c*x**n))), x)","F",0
315,0,0,0,0.000000," ","integrate(1/x/csc(a+b*ln(c*x**n))**(1/2),x)","\int \frac{1}{x \sqrt{\csc{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(1/(x*sqrt(csc(a + b*log(c*x**n)))), x)","F",0
316,0,0,0,0.000000," ","integrate(1/csc(a+b*ln(c*x**n))**(3/2),x)","\int \frac{1}{\csc^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(csc(a + b*log(c*x**n))**(-3/2), x)","F",0
317,0,0,0,0.000000," ","integrate(1/x/csc(a+b*ln(c*x**n))**(3/2),x)","\int \frac{1}{x \csc^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(1/(x*csc(a + b*log(c*x**n))**(3/2)), x)","F",0
318,-1,0,0,0.000000," ","integrate(1/csc(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
319,-1,0,0,0.000000," ","integrate(1/x/csc(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
320,-1,0,0,0.000000," ","integrate((e*x)**m*csc(d*(a+b*ln(c*x**n)))**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
321,0,0,0,0.000000," ","integrate((e*x)**m*csc(d*(a+b*ln(c*x**n)))**2,x)","\int \left(e x\right)^{m} \csc^{2}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*csc(a*d + b*d*log(c*x**n))**2, x)","F",0
322,0,0,0,0.000000," ","integrate((e*x)**m*csc(d*(a+b*ln(c*x**n))),x)","\int \left(e x\right)^{m} \csc{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*csc(a*d + b*d*log(c*x**n)), x)","F",0
323,-1,0,0,0.000000," ","integrate(x**m*csc(a+b*ln(c*x**n))**(5/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
324,-1,0,0,0.000000," ","integrate(x**m*csc(a+b*ln(c*x**n))**(3/2),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
325,0,0,0,0.000000," ","integrate(x**m*csc(a+b*ln(c*x**n))**(1/2),x)","\int x^{m} \sqrt{\csc{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(x**m*sqrt(csc(a + b*log(c*x**n))), x)","F",0
326,0,0,0,0.000000," ","integrate(x**m/csc(a+b*ln(c*x**n))**(1/2),x)","\int \frac{x^{m}}{\sqrt{\csc{\left(a + b \log{\left(c x^{n} \right)} \right)}}}\, dx"," ",0,"Integral(x**m/sqrt(csc(a + b*log(c*x**n))), x)","F",0
327,0,0,0,0.000000," ","integrate(x**m/csc(a+b*ln(c*x**n))**(3/2),x)","\int \frac{x^{m}}{\csc^{\frac{3}{2}}{\left(a + b \log{\left(c x^{n} \right)} \right)}}\, dx"," ",0,"Integral(x**m/csc(a + b*log(c*x**n))**(3/2), x)","F",0
328,0,0,0,0.000000," ","integrate((e*x)**m*csc(d*(a+b*ln(c*x**n)))**p,x)","\int \left(e x\right)^{m} \csc^{p}{\left(a d + b d \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral((e*x)**m*csc(a*d + b*d*log(c*x**n))**p, x)","F",0
329,0,0,0,0.000000," ","integrate(x*csc(a+b*ln(c*x**n))**p,x)","\int x \csc^{p}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(x*csc(a + b*log(c*x**n))**p, x)","F",0
330,0,0,0,0.000000," ","integrate(csc(a+b*ln(c*x**n))**p,x)","\int \csc^{p}{\left(a + b \log{\left(c x^{n} \right)} \right)}\, dx"," ",0,"Integral(csc(a + b*log(c*x**n))**p, x)","F",0
