1,-1,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)**3*(A+B*x**n)*(c+d*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
2,-1,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)**2*(A+B*x**n)*(c+d*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
3,1,8500,0,88.266145," ","integrate((e*x)**m*(a+b*x**n)*(A+B*x**n)*(c+d*x**n),x)","\begin{cases} \frac{\left(A + B\right) \left(a + b\right) \left(c + d\right) \log{\left(x \right)}}{e} & \text{for}\: m = -1 \wedge n = 0 \\\frac{A a c \log{\left(x \right)} + \frac{A a d x^{n}}{n} + \frac{A b c x^{n}}{n} + \frac{A b d x^{2 n}}{2 n} + \frac{B a c x^{n}}{n} + \frac{B a d x^{2 n}}{2 n} + \frac{B b c x^{2 n}}{2 n} + \frac{B b d x^{3 n}}{3 n}}{e} & \text{for}\: m = -1 \\\frac{A a c \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{- 3 n} \left(0^{\frac{1}{n}}\right)^{- 3 n}}{3 n} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 3 n} x^{- 3 n}}{3 n} & \text{otherwise} \end{cases}\right)}{e} + \frac{A a d \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{n}}{3 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n} - n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 3 n} x^{- 2 n}}{2 n} & \text{otherwise} \end{cases}\right)}{e} + \frac{A b c \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{n}}{3 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n} - n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 3 n} x^{- 2 n}}{2 n} & \text{otherwise} \end{cases}\right)}{e} + \frac{A b d \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{2 n}}{3 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n} - 2 n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 3 n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{B a c \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{n}}{3 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n} - n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 3 n} x^{- 2 n}}{2 n} & \text{otherwise} \end{cases}\right)}{e} + \frac{B a d \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{2 n}}{3 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n} - 2 n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 3 n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{B b c \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{2 n}}{3 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n} - 2 n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 3 n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{B b d \left(\begin{cases} e^{- 3 n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- 3 n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- 3 n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- 3 n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} & \text{for}\: m = - 3 n - 1 \\\frac{A a c \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{- 2 n} \left(0^{\frac{1}{n}}\right)^{- 2 n}}{2 n} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 2 n} x^{- 2 n}}{2 n} & \text{otherwise} \end{cases}\right)}{e} + \frac{A a d \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{n}}{2 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n} - n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 2 n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{A b c \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{n}}{2 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n} - n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 2 n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{A b d \left(\begin{cases} e^{- 2 n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- 2 n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- 2 n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- 2 n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} + \frac{B a c \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{n}}{2 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n} - n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 2 n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{B a d \left(\begin{cases} e^{- 2 n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- 2 n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- 2 n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- 2 n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} + \frac{B b c \left(\begin{cases} e^{- 2 n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- 2 n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- 2 n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- 2 n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} + \frac{B b d \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{3 n}}{2 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n} - 3 n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\\frac{e^{- 2 n} x^{n}}{n} & \text{otherwise} \end{cases}\right)}{e} & \text{for}\: m = - 2 n - 1 \\\frac{A a c \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{- n} \left(0^{\frac{1}{n}}\right)^{- n}}{n} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{A a d \left(\begin{cases} e^{- n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} + \frac{A b c \left(\begin{cases} e^{- n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} + \frac{A b d \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{2 n}}{0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{n} \left(0^{\frac{1}{n}}\right)^{n} - 2 n x^{n} \left(0^{\frac{1}{n}}\right)^{n}} & \text{for}\: e = 0^{\frac{1}{n}} \\\frac{e^{- n} x^{n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{B a c \left(\begin{cases} e^{- n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} + \frac{B a d \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{2 n}}{0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{n} \left(0^{\frac{1}{n}}\right)^{n} - 2 n x^{n} \left(0^{\frac{1}{n}}\right)^{n}} & \text{for}\: e = 0^{\frac{1}{n}} \\\frac{e^{- n} x^{n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{B b c \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{2 n}}{0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{n} \left(0^{\frac{1}{n}}\right)^{n} - 2 n x^{n} \left(0^{\frac{1}{n}}\right)^{n}} & \text{for}\: e = 0^{\frac{1}{n}} \\\frac{e^{- n} x^{n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{B b d \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{3 n}}{0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{n} \left(0^{\frac{1}{n}}\right)^{n} - 3 n x^{n} \left(0^{\frac{1}{n}}\right)^{n}} & \text{for}\: e = 0^{\frac{1}{n}} \\\frac{e^{- n} x^{2 n}}{2 n} & \text{otherwise} \end{cases}\right)}{e} & \text{for}\: m = - n - 1 \\\frac{A a c e^{m} m^{3} x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 A a c e^{m} m^{2} n x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A a c e^{m} m^{2} x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{11 A a c e^{m} m n^{2} x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{12 A a c e^{m} m n x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A a c e^{m} m x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 A a c e^{m} n^{3} x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{11 A a c e^{m} n^{2} x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 A a c e^{m} n x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{A a c e^{m} x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{A a d e^{m} m^{3} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{5 A a d e^{m} m^{2} n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A a d e^{m} m^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 A a d e^{m} m n^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{10 A a d e^{m} m n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A a d e^{m} m x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 A a d e^{m} n^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{5 A a d e^{m} n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{A a d e^{m} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{A b c e^{m} m^{3} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{5 A b c e^{m} m^{2} n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A b c e^{m} m^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 A b c e^{m} m n^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{10 A b c e^{m} m n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A b c e^{m} m x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 A b c e^{m} n^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{5 A b c e^{m} n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{A b c e^{m} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{A b d e^{m} m^{3} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{4 A b d e^{m} m^{2} n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A b d e^{m} m^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A b d e^{m} m n^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{8 A b d e^{m} m n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A b d e^{m} m x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A b d e^{m} n^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{4 A b d e^{m} n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{A b d e^{m} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{B a c e^{m} m^{3} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{5 B a c e^{m} m^{2} n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B a c e^{m} m^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 B a c e^{m} m n^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{10 B a c e^{m} m n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B a c e^{m} m x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 B a c e^{m} n^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{5 B a c e^{m} n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{B a c e^{m} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{B a d e^{m} m^{3} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{4 B a d e^{m} m^{2} n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B a d e^{m} m^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B a d e^{m} m n^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{8 B a d e^{m} m n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B a d e^{m} m x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B a d e^{m} n^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{4 B a d e^{m} n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{B a d e^{m} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{B b c e^{m} m^{3} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{4 B b c e^{m} m^{2} n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B b c e^{m} m^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B b c e^{m} m n^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{8 B b c e^{m} m n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B b c e^{m} m x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B b c e^{m} n^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{4 B b c e^{m} n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{B b c e^{m} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{B b d e^{m} m^{3} x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B b d e^{m} m^{2} n x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B b d e^{m} m^{2} x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{2 B b d e^{m} m n^{2} x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 B b d e^{m} m n x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B b d e^{m} m x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{2 B b d e^{m} n^{2} x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B b d e^{m} n x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{B b d e^{m} x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((A + B)*(a + b)*(c + d)*log(x)/e, Eq(m, -1) & Eq(n, 0)), ((A*a*c*log(x) + A*a*d*x**n/n + A*b*c*x**n/n + A*b*d*x**(2*n)/(2*n) + B*a*c*x**n/n + B*a*d*x**(2*n)/(2*n) + B*b*c*x**(2*n)/(2*n) + B*b*d*x**(3*n)/(3*n))/e, Eq(m, -1)), (A*a*c*Piecewise((log(x), Eq(n, 0)), (-x**(-3*n)*(0**(1/n))**(-3*n)/(3*n), Eq(e, 0**(1/n))), (-e**(-3*n)*x**(-3*n)/(3*n), True))/e + A*a*d*Piecewise((log(x), Eq(n, 0)), (-x**n/(3*0**(1/n)*zoo**(1/n)*n*x**(3*n)*(0**(1/n))**(3*n) - n*x**(3*n)*(0**(1/n))**(3*n)), Eq(e, 0**(1/n))), (-e**(-3*n)*x**(-2*n)/(2*n), True))/e + A*b*c*Piecewise((log(x), Eq(n, 0)), (-x**n/(3*0**(1/n)*zoo**(1/n)*n*x**(3*n)*(0**(1/n))**(3*n) - n*x**(3*n)*(0**(1/n))**(3*n)), Eq(e, 0**(1/n))), (-e**(-3*n)*x**(-2*n)/(2*n), True))/e + A*b*d*Piecewise((log(x), Eq(n, 0)), (-x**(2*n)/(3*0**(1/n)*zoo**(1/n)*n*x**(3*n)*(0**(1/n))**(3*n) - 2*n*x**(3*n)*(0**(1/n))**(3*n)), Eq(e, 0**(1/n))), (-e**(-3*n)*x**(-n)/n, True))/e + B*a*c*Piecewise((log(x), Eq(n, 0)), (-x**n/(3*0**(1/n)*zoo**(1/n)*n*x**(3*n)*(0**(1/n))**(3*n) - n*x**(3*n)*(0**(1/n))**(3*n)), Eq(e, 0**(1/n))), (-e**(-3*n)*x**(-2*n)/(2*n), True))/e + B*a*d*Piecewise((log(x), Eq(n, 0)), (-x**(2*n)/(3*0**(1/n)*zoo**(1/n)*n*x**(3*n)*(0**(1/n))**(3*n) - 2*n*x**(3*n)*(0**(1/n))**(3*n)), Eq(e, 0**(1/n))), (-e**(-3*n)*x**(-n)/n, True))/e + B*b*c*Piecewise((log(x), Eq(n, 0)), (-x**(2*n)/(3*0**(1/n)*zoo**(1/n)*n*x**(3*n)*(0**(1/n))**(3*n) - 2*n*x**(3*n)*(0**(1/n))**(3*n)), Eq(e, 0**(1/n))), (-e**(-3*n)*x**(-n)/n, True))/e + B*b*d*Piecewise((e**(-3*n)*log(x), Abs(x) < 1), (-e**(-3*n)*log(1/x), 1/Abs(x) < 1), (-e**(-3*n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-3*n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e, Eq(m, -3*n - 1)), (A*a*c*Piecewise((log(x), Eq(n, 0)), (-x**(-2*n)*(0**(1/n))**(-2*n)/(2*n), Eq(e, 0**(1/n))), (-e**(-2*n)*x**(-2*n)/(2*n), True))/e + A*a*d*Piecewise((log(x), Eq(n, 0)), (-x**n/(2*0**(1/n)*zoo**(1/n)*n*x**(2*n)*(0**(1/n))**(2*n) - n*x**(2*n)*(0**(1/n))**(2*n)), Eq(e, 0**(1/n))), (-e**(-2*n)*x**(-n)/n, True))/e + A*b*c*Piecewise((log(x), Eq(n, 0)), (-x**n/(2*0**(1/n)*zoo**(1/n)*n*x**(2*n)*(0**(1/n))**(2*n) - n*x**(2*n)*(0**(1/n))**(2*n)), Eq(e, 0**(1/n))), (-e**(-2*n)*x**(-n)/n, True))/e + A*b*d*Piecewise((e**(-2*n)*log(x), Abs(x) < 1), (-e**(-2*n)*log(1/x), 1/Abs(x) < 1), (-e**(-2*n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-2*n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e + B*a*c*Piecewise((log(x), Eq(n, 0)), (-x**n/(2*0**(1/n)*zoo**(1/n)*n*x**(2*n)*(0**(1/n))**(2*n) - n*x**(2*n)*(0**(1/n))**(2*n)), Eq(e, 0**(1/n))), (-e**(-2*n)*x**(-n)/n, True))/e + B*a*d*Piecewise((e**(-2*n)*log(x), Abs(x) < 1), (-e**(-2*n)*log(1/x), 1/Abs(x) < 1), (-e**(-2*n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-2*n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e + B*b*c*Piecewise((e**(-2*n)*log(x), Abs(x) < 1), (-e**(-2*n)*log(1/x), 1/Abs(x) < 1), (-e**(-2*n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-2*n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e + B*b*d*Piecewise((log(x), Eq(n, 0)), (-x**(3*n)/(2*0**(1/n)*zoo**(1/n)*n*x**(2*n)*(0**(1/n))**(2*n) - 3*n*x**(2*n)*(0**(1/n))**(2*n)), Eq(e, 0**(1/n))), (e**(-2*n)*x**n/n, True))/e, Eq(m, -2*n - 1)), (A*a*c*Piecewise((log(x), Eq(n, 0)), (-x**(-n)*(0**(1/n))**(-n)/n, Eq(e, 0**(1/n))), (-e**(-n)*x**(-n)/n, True))/e + A*a*d*Piecewise((e**(-n)*log(x), Abs(x) < 1), (-e**(-n)*log(1/x), 1/Abs(x) < 1), (-e**(-n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e + A*b*c*Piecewise((e**(-n)*log(x), Abs(x) < 1), (-e**(-n)*log(1/x), 1/Abs(x) < 1), (-e**(-n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e + A*b*d*Piecewise((log(x), Eq(n, 0)), (-x**(2*n)/(0**(1/n)*zoo**(1/n)*n*x**n*(0**(1/n))**n - 2*n*x**n*(0**(1/n))**n), Eq(e, 0**(1/n))), (e**(-n)*x**n/n, True))/e + B*a*c*Piecewise((e**(-n)*log(x), Abs(x) < 1), (-e**(-n)*log(1/x), 1/Abs(x) < 1), (-e**(-n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e + B*a*d*Piecewise((log(x), Eq(n, 0)), (-x**(2*n)/(0**(1/n)*zoo**(1/n)*n*x**n*(0**(1/n))**n - 2*n*x**n*(0**(1/n))**n), Eq(e, 0**(1/n))), (e**(-n)*x**n/n, True))/e + B*b*c*Piecewise((log(x), Eq(n, 0)), (-x**(2*n)/(0**(1/n)*zoo**(1/n)*n*x**n*(0**(1/n))**n - 2*n*x**n*(0**(1/n))**n), Eq(e, 0**(1/n))), (e**(-n)*x**n/n, True))/e + B*b*d*Piecewise((log(x), Eq(n, 0)), (-x**(3*n)/(0**(1/n)*zoo**(1/n)*n*x**n*(0**(1/n))**n - 3*n*x**n*(0**(1/n))**n), Eq(e, 0**(1/n))), (e**(-n)*x**(2*n)/(2*n), True))/e, Eq(m, -n - 1)), (A*a*c*e**m*m**3*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*A*a*c*e**m*m**2*n*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*a*c*e**m*m**2*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 11*A*a*c*e**m*m*n**2*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 12*A*a*c*e**m*m*n*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*a*c*e**m*m*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*A*a*c*e**m*n**3*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 11*A*a*c*e**m*n**2*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*A*a*c*e**m*n*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + A*a*c*e**m*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + A*a*d*e**m*m**3*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 5*A*a*d*e**m*m**2*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*a*d*e**m*m**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*A*a*d*e**m*m*n**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 10*A*a*d*e**m*m*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*a*d*e**m*m*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*A*a*d*e**m*n**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 5*A*a*d*e**m*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + A*a*d*e**m*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + A*b*c*e**m*m**3*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 5*A*b*c*e**m*m**2*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*b*c*e**m*m**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*A*b*c*e**m*m*n**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 10*A*b*c*e**m*m*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*b*c*e**m*m*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*A*b*c*e**m*n**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 5*A*b*c*e**m*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + A*b*c*e**m*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + A*b*d*e**m*m**3*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 4*A*b*d*e**m*m**2*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*b*d*e**m*m**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*b*d*e**m*m*n**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 8*A*b*d*e**m*m*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*b*d*e**m*m*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*b*d*e**m*n**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 4*A*b*d*e**m*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + A*b*d*e**m*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + B*a*c*e**m*m**3*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 5*B*a*c*e**m*m**2*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*a*c*e**m*m**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*B*a*c*e**m*m*n**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 10*B*a*c*e**m*m*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*a*c*e**m*m*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*B*a*c*e**m*n**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 5*B*a*c*e**m*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + B*a*c*e**m*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + B*a*d*e**m*m**3*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 4*B*a*d*e**m*m**2*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*a*d*e**m*m**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*a*d*e**m*m*n**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 8*B*a*d*e**m*m*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*a*d*e**m*m*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*a*d*e**m*n**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 4*B*a*d*e**m*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + B*a*d*e**m*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + B*b*c*e**m*m**3*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 4*B*b*c*e**m*m**2*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*b*c*e**m*m**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*b*c*e**m*m*n**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 8*B*b*c*e**m*m*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*b*c*e**m*m*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*b*c*e**m*n**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 4*B*b*c*e**m*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + B*b*c*e**m*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + B*b*d*e**m*m**3*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*b*d*e**m*m**2*n*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*b*d*e**m*m**2*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 2*B*b*d*e**m*m*n**2*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*B*b*d*e**m*m*n*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*b*d*e**m*m*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 2*B*b*d*e**m*n**2*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*b*d*e**m*n*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + B*b*d*e**m*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1), True))","A",0
4,1,1698,0,29.325260," ","integrate((e*x)**m*(A+B*x**n)*(c+d*x**n),x)","\begin{cases} \frac{\left(A + B\right) \left(c + d\right) \log{\left(x \right)}}{e} & \text{for}\: m = -1 \wedge n = 0 \\\frac{A c \log{\left(x \right)} + \frac{A d x^{n}}{n} + \frac{B c x^{n}}{n} + \frac{B d x^{2 n}}{2 n}}{e} & \text{for}\: m = -1 \\\frac{A c \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{- 2 n} \left(0^{\frac{1}{n}}\right)^{- 2 n}}{2 n} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 2 n} x^{- 2 n}}{2 n} & \text{otherwise} \end{cases}\right)}{e} + \frac{A d \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{n}}{2 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n} - n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 2 n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{B c \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{n}}{2 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n} - n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 2 n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{B d \left(\begin{cases} e^{- 2 n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- 2 n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- 2 n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- 2 n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} & \text{for}\: m = - 2 n - 1 \\\frac{A c \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{- n} \left(0^{\frac{1}{n}}\right)^{- n}}{n} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{A d \left(\begin{cases} e^{- n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} + \frac{B c \left(\begin{cases} e^{- n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} + \frac{B d \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{2 n}}{0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{n} \left(0^{\frac{1}{n}}\right)^{n} - 2 n x^{n} \left(0^{\frac{1}{n}}\right)^{n}} & \text{for}\: e = 0^{\frac{1}{n}} \\\frac{e^{- n} x^{n}}{n} & \text{otherwise} \end{cases}\right)}{e} & \text{for}\: m = - n - 1 \\\frac{A c e^{m} m^{2} x x^{m}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{3 A c e^{m} m n x x^{m}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{2 A c e^{m} m x x^{m}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{2 A c e^{m} n^{2} x x^{m}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{3 A c e^{m} n x x^{m}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{A c e^{m} x x^{m}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{A d e^{m} m^{2} x x^{m} x^{n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{2 A d e^{m} m n x x^{m} x^{n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{2 A d e^{m} m x x^{m} x^{n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{2 A d e^{m} n x x^{m} x^{n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{A d e^{m} x x^{m} x^{n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{B c e^{m} m^{2} x x^{m} x^{n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{2 B c e^{m} m n x x^{m} x^{n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{2 B c e^{m} m x x^{m} x^{n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{2 B c e^{m} n x x^{m} x^{n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{B c e^{m} x x^{m} x^{n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{B d e^{m} m^{2} x x^{m} x^{2 n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{B d e^{m} m n x x^{m} x^{2 n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{2 B d e^{m} m x x^{m} x^{2 n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{B d e^{m} n x x^{m} x^{2 n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} + \frac{B d e^{m} x x^{m} x^{2 n}}{m^{3} + 3 m^{2} n + 3 m^{2} + 2 m n^{2} + 6 m n + 3 m + 2 n^{2} + 3 n + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((A + B)*(c + d)*log(x)/e, Eq(m, -1) & Eq(n, 0)), ((A*c*log(x) + A*d*x**n/n + B*c*x**n/n + B*d*x**(2*n)/(2*n))/e, Eq(m, -1)), (A*c*Piecewise((log(x), Eq(n, 0)), (-x**(-2*n)*(0**(1/n))**(-2*n)/(2*n), Eq(e, 0**(1/n))), (-e**(-2*n)*x**(-2*n)/(2*n), True))/e + A*d*Piecewise((log(x), Eq(n, 0)), (-x**n/(2*0**(1/n)*zoo**(1/n)*n*x**(2*n)*(0**(1/n))**(2*n) - n*x**(2*n)*(0**(1/n))**(2*n)), Eq(e, 0**(1/n))), (-e**(-2*n)*x**(-n)/n, True))/e + B*c*Piecewise((log(x), Eq(n, 0)), (-x**n/(2*0**(1/n)*zoo**(1/n)*n*x**(2*n)*(0**(1/n))**(2*n) - n*x**(2*n)*(0**(1/n))**(2*n)), Eq(e, 0**(1/n))), (-e**(-2*n)*x**(-n)/n, True))/e + B*d*Piecewise((e**(-2*n)*log(x), Abs(x) < 1), (-e**(-2*n)*log(1/x), 1/Abs(x) < 1), (-e**(-2*n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-2*n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e, Eq(m, -2*n - 1)), (A*c*Piecewise((log(x), Eq(n, 0)), (-x**(-n)*(0**(1/n))**(-n)/n, Eq(e, 0**(1/n))), (-e**(-n)*x**(-n)/n, True))/e + A*d*Piecewise((e**(-n)*log(x), Abs(x) < 1), (-e**(-n)*log(1/x), 1/Abs(x) < 1), (-e**(-n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e + B*c*Piecewise((e**(-n)*log(x), Abs(x) < 1), (-e**(-n)*log(1/x), 1/Abs(x) < 1), (-e**(-n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e + B*d*Piecewise((log(x), Eq(n, 0)), (-x**(2*n)/(0**(1/n)*zoo**(1/n)*n*x**n*(0**(1/n))**n - 2*n*x**n*(0**(1/n))**n), Eq(e, 0**(1/n))), (e**(-n)*x**n/n, True))/e, Eq(m, -n - 1)), (A*c*e**m*m**2*x*x**m/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + 3*A*c*e**m*m*n*x*x**m/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + 2*A*c*e**m*m*x*x**m/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + 2*A*c*e**m*n**2*x*x**m/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + 3*A*c*e**m*n*x*x**m/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + A*c*e**m*x*x**m/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + A*d*e**m*m**2*x*x**m*x**n/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + 2*A*d*e**m*m*n*x*x**m*x**n/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + 2*A*d*e**m*m*x*x**m*x**n/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + 2*A*d*e**m*n*x*x**m*x**n/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + A*d*e**m*x*x**m*x**n/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + B*c*e**m*m**2*x*x**m*x**n/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + 2*B*c*e**m*m*n*x*x**m*x**n/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + 2*B*c*e**m*m*x*x**m*x**n/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + 2*B*c*e**m*n*x*x**m*x**n/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + B*c*e**m*x*x**m*x**n/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + B*d*e**m*m**2*x*x**m*x**(2*n)/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + B*d*e**m*m*n*x*x**m*x**(2*n)/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + 2*B*d*e**m*m*x*x**m*x**(2*n)/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + B*d*e**m*n*x*x**m*x**(2*n)/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1) + B*d*e**m*x*x**m*x**(2*n)/(m**3 + 3*m**2*n + 3*m**2 + 2*m*n**2 + 6*m*n + 3*m + 2*n**2 + 3*n + 1), True))","A",0
5,1,666,0,10.143874," ","integrate((e*x)**m*(A+B*x**n)*(c+d*x**n)/(a+b*x**n),x)","\frac{A c e^{m} m x x^{m} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{A c e^{m} x x^{m} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{A d e^{m} m x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{A d e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{A d e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B c e^{m} m x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B c e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B c e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B d e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{2 B d e^{m} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{B d e^{m} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}"," ",0,"A*c*e**m*m*x*x**m*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a*n**2*gamma(m/n + 1 + 1/n)) + A*c*e**m*x*x**m*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a*n**2*gamma(m/n + 1 + 1/n)) + A*d*e**m*m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n**2*gamma(m/n + 2 + 1/n)) + A*d*e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n*gamma(m/n + 2 + 1/n)) + A*d*e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n**2*gamma(m/n + 2 + 1/n)) + B*c*e**m*m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n**2*gamma(m/n + 2 + 1/n)) + B*c*e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n*gamma(m/n + 2 + 1/n)) + B*c*e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n**2*gamma(m/n + 2 + 1/n)) + B*d*e**m*m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n**2*gamma(m/n + 3 + 1/n)) + 2*B*d*e**m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n*gamma(m/n + 3 + 1/n)) + B*d*e**m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n**2*gamma(m/n + 3 + 1/n))","C",0
6,1,4129,0,48.650003," ","integrate((e*x)**m*(A+B*x**n)*(c+d*x**n)/(a+b*x**n)**2,x)","A c \left(- \frac{e^{m} m^{2} x x^{m} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{e^{m} m n x x^{m} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{e^{m} m n x x^{m} \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{2 e^{m} m x x^{m} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{e^{m} n x x^{m} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{e^{m} n x x^{m} \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{e^{m} x x^{m} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{b e^{m} m^{2} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{b e^{m} m n x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{2 b e^{m} m x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{b e^{m} n x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{b e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)}\right) + A d \left(- \frac{e^{m} m^{2} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} m n x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} m n x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{2 e^{m} m x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} n^{2} x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} n x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} n x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{b e^{m} m^{2} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{b e^{m} m n x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{2 b e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{b e^{m} n x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{b e^{m} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)}\right) + B c \left(- \frac{e^{m} m^{2} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} m n x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} m n x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{2 e^{m} m x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} n^{2} x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} n x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} n x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{b e^{m} m^{2} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{b e^{m} m n x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{2 b e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{b e^{m} n x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{b e^{m} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)}\right) + B d \left(- \frac{e^{m} m^{2} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{3 e^{m} m n x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} + \frac{e^{m} m n x x^{m} x^{2 n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{2 e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{2 e^{m} n^{2} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} + \frac{2 e^{m} n^{2} x x^{m} x^{2 n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{3 e^{m} n x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} + \frac{e^{m} n x x^{m} x^{2 n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{e^{m} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{b e^{m} m^{2} x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{3 b e^{m} m n x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{2 b e^{m} m x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{2 b e^{m} n^{2} x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{3 b e^{m} n x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{b e^{m} x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a^{2} \left(a n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + b n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)}\right)"," ",0,"A*c*(-e**m*m**2*x*x**m*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a*(a*n**3*gamma(m/n + 1 + 1/n) + b*n**3*x**n*gamma(m/n + 1 + 1/n))) + e**m*m*n*x*x**m*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a*(a*n**3*gamma(m/n + 1 + 1/n) + b*n**3*x**n*gamma(m/n + 1 + 1/n))) + e**m*m*n*x*x**m*gamma(m/n + 1/n)/(a*(a*n**3*gamma(m/n + 1 + 1/n) + b*n**3*x**n*gamma(m/n + 1 + 1/n))) - 2*e**m*m*x*x**m*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a*(a*n**3*gamma(m/n + 1 + 1/n) + b*n**3*x**n*gamma(m/n + 1 + 1/n))) + e**m*n*x*x**m*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a*(a*n**3*gamma(m/n + 1 + 1/n) + b*n**3*x**n*gamma(m/n + 1 + 1/n))) + e**m*n*x*x**m*gamma(m/n + 1/n)/(a*(a*n**3*gamma(m/n + 1 + 1/n) + b*n**3*x**n*gamma(m/n + 1 + 1/n))) - e**m*x*x**m*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a*(a*n**3*gamma(m/n + 1 + 1/n) + b*n**3*x**n*gamma(m/n + 1 + 1/n))) - b*e**m*m**2*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a**2*(a*n**3*gamma(m/n + 1 + 1/n) + b*n**3*x**n*gamma(m/n + 1 + 1/n))) + b*e**m*m*n*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a**2*(a*n**3*gamma(m/n + 1 + 1/n) + b*n**3*x**n*gamma(m/n + 1 + 1/n))) - 2*b*e**m*m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a**2*(a*n**3*gamma(m/n + 1 + 1/n) + b*n**3*x**n*gamma(m/n + 1 + 1/n))) + b*e**m*n*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a**2*(a*n**3*gamma(m/n + 1 + 1/n) + b*n**3*x**n*gamma(m/n + 1 + 1/n))) - b*e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a**2*(a*n**3*gamma(m/n + 1 + 1/n) + b*n**3*x**n*gamma(m/n + 1 + 1/n)))) + A*d*(-e**m*m**2*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*m*n*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*m*n*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - 2*e**m*m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*n**2*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*n*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*n*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - b*e**m*m**2*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a**2*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - b*e**m*m*n*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a**2*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - 2*b*e**m*m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a**2*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - b*e**m*n*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a**2*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - b*e**m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a**2*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n)))) + B*c*(-e**m*m**2*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*m*n*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*m*n*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - 2*e**m*m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*n**2*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*n*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*n*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - b*e**m*m**2*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a**2*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - b*e**m*m*n*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a**2*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - 2*b*e**m*m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a**2*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - b*e**m*n*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a**2*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n))) - b*e**m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a**2*(a*n**3*gamma(m/n + 2 + 1/n) + b*n**3*x**n*gamma(m/n + 2 + 1/n)))) + B*d*(-e**m*m**2*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))) - 3*e**m*m*n*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))) + e**m*m*n*x*x**m*x**(2*n)*gamma(m/n + 2 + 1/n)/(a*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))) - 2*e**m*m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))) - 2*e**m*n**2*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))) + 2*e**m*n**2*x*x**m*x**(2*n)*gamma(m/n + 2 + 1/n)/(a*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))) - 3*e**m*n*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))) + e**m*n*x*x**m*x**(2*n)*gamma(m/n + 2 + 1/n)/(a*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))) - e**m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))) - b*e**m*m**2*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a**2*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))) - 3*b*e**m*m*n*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a**2*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))) - 2*b*e**m*m*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a**2*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))) - 2*b*e**m*n**2*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a**2*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))) - 3*b*e**m*n*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a**2*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))) - b*e**m*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a**2*(a*n**3*gamma(m/n + 3 + 1/n) + b*n**3*x**n*gamma(m/n + 3 + 1/n))))","C",0
7,-1,0,0,0.000000," ","integrate((e*x)**m*(A+B*x**n)*(c+d*x**n)/(a+b*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
8,-1,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)**3*(A+B*x**n)*(c+d*x**n)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
9,-1,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)**2*(A+B*x**n)*(c+d*x**n)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
10,-1,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)*(A+B*x**n)*(c+d*x**n)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
11,1,6399,0,74.163731," ","integrate((e*x)**m*(A+B*x**n)*(c+d*x**n)**2,x)","\begin{cases} \frac{\left(A + B\right) \left(c + d\right)^{2} \log{\left(x \right)}}{e} & \text{for}\: m = -1 \wedge n = 0 \\\frac{A c^{2} \log{\left(x \right)} + \frac{2 A c d x^{n}}{n} + \frac{A d^{2} x^{2 n}}{2 n} + \frac{B c^{2} x^{n}}{n} + \frac{B c d x^{2 n}}{n} + \frac{B d^{2} x^{3 n}}{3 n}}{e} & \text{for}\: m = -1 \\\frac{A c^{2} \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{- 3 n} \left(0^{\frac{1}{n}}\right)^{- 3 n}}{3 n} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 3 n} x^{- 3 n}}{3 n} & \text{otherwise} \end{cases}\right)}{e} + \frac{2 A c d \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{n}}{3 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n} - n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 3 n} x^{- 2 n}}{2 n} & \text{otherwise} \end{cases}\right)}{e} + \frac{A d^{2} \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{2 n}}{3 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n} - 2 n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 3 n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{B c^{2} \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{n}}{3 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n} - n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 3 n} x^{- 2 n}}{2 n} & \text{otherwise} \end{cases}\right)}{e} + \frac{2 B c d \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{2 n}}{3 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n} - 2 n x^{3 n} \left(0^{\frac{1}{n}}\right)^{3 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 3 n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{B d^{2} \left(\begin{cases} e^{- 3 n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- 3 n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- 3 n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- 3 n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} & \text{for}\: m = - 3 n - 1 \\\frac{A c^{2} \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{- 2 n} \left(0^{\frac{1}{n}}\right)^{- 2 n}}{2 n} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 2 n} x^{- 2 n}}{2 n} & \text{otherwise} \end{cases}\right)}{e} + \frac{2 A c d \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{n}}{2 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n} - n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 2 n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{A d^{2} \left(\begin{cases} e^{- 2 n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- 2 n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- 2 n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- 2 n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} + \frac{B c^{2} \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{n}}{2 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n} - n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- 2 n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{2 B c d \left(\begin{cases} e^{- 2 n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- 2 n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- 2 n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- 2 n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} + \frac{B d^{2} \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{3 n}}{2 \cdot 0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n} - 3 n x^{2 n} \left(0^{\frac{1}{n}}\right)^{2 n}} & \text{for}\: e = 0^{\frac{1}{n}} \\\frac{e^{- 2 n} x^{n}}{n} & \text{otherwise} \end{cases}\right)}{e} & \text{for}\: m = - 2 n - 1 \\\frac{A c^{2} \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{- n} \left(0^{\frac{1}{n}}\right)^{- n}}{n} & \text{for}\: e = 0^{\frac{1}{n}} \\- \frac{e^{- n} x^{- n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{2 A c d \left(\begin{cases} e^{- n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} + \frac{A d^{2} \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{2 n}}{0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{n} \left(0^{\frac{1}{n}}\right)^{n} - 2 n x^{n} \left(0^{\frac{1}{n}}\right)^{n}} & \text{for}\: e = 0^{\frac{1}{n}} \\\frac{e^{- n} x^{n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{B c^{2} \left(\begin{cases} e^{- n} \log{\left(x \right)} & \text{for}\: \left|{x}\right| < 1 \\- e^{- n} \log{\left(\frac{1}{x} \right)} & \text{for}\: \frac{1}{\left|{x}\right|} < 1 \\- e^{- n} {G_{2, 2}^{2, 0}\left(\begin{matrix}  & 1, 1 \\0, 0 &  \end{matrix} \middle| {x} \right)} + e^{- n} {G_{2, 2}^{0, 2}\left(\begin{matrix} 1, 1 &  \\ & 0, 0 \end{matrix} \middle| {x} \right)} & \text{otherwise} \end{cases}\right)}{e} + \frac{2 B c d \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{2 n}}{0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{n} \left(0^{\frac{1}{n}}\right)^{n} - 2 n x^{n} \left(0^{\frac{1}{n}}\right)^{n}} & \text{for}\: e = 0^{\frac{1}{n}} \\\frac{e^{- n} x^{n}}{n} & \text{otherwise} \end{cases}\right)}{e} + \frac{B d^{2} \left(\begin{cases} \log{\left(x \right)} & \text{for}\: n = 0 \\- \frac{x^{3 n}}{0^{\frac{1}{n}} \tilde{\infty}^{\frac{1}{n}} n x^{n} \left(0^{\frac{1}{n}}\right)^{n} - 3 n x^{n} \left(0^{\frac{1}{n}}\right)^{n}} & \text{for}\: e = 0^{\frac{1}{n}} \\\frac{e^{- n} x^{2 n}}{2 n} & \text{otherwise} \end{cases}\right)}{e} & \text{for}\: m = - n - 1 \\\frac{A c^{2} e^{m} m^{3} x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 A c^{2} e^{m} m^{2} n x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A c^{2} e^{m} m^{2} x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{11 A c^{2} e^{m} m n^{2} x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{12 A c^{2} e^{m} m n x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A c^{2} e^{m} m x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 A c^{2} e^{m} n^{3} x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{11 A c^{2} e^{m} n^{2} x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 A c^{2} e^{m} n x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{A c^{2} e^{m} x x^{m}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{2 A c d e^{m} m^{3} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{10 A c d e^{m} m^{2} n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 A c d e^{m} m^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{12 A c d e^{m} m n^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{20 A c d e^{m} m n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 A c d e^{m} m x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{12 A c d e^{m} n^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{10 A c d e^{m} n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{2 A c d e^{m} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{A d^{2} e^{m} m^{3} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{4 A d^{2} e^{m} m^{2} n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A d^{2} e^{m} m^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A d^{2} e^{m} m n^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{8 A d^{2} e^{m} m n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A d^{2} e^{m} m x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 A d^{2} e^{m} n^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{4 A d^{2} e^{m} n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{A d^{2} e^{m} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{B c^{2} e^{m} m^{3} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{5 B c^{2} e^{m} m^{2} n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B c^{2} e^{m} m^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 B c^{2} e^{m} m n^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{10 B c^{2} e^{m} m n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B c^{2} e^{m} m x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 B c^{2} e^{m} n^{2} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{5 B c^{2} e^{m} n x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{B c^{2} e^{m} x x^{m} x^{n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{2 B c d e^{m} m^{3} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{8 B c d e^{m} m^{2} n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 B c d e^{m} m^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 B c d e^{m} m n^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{16 B c d e^{m} m n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 B c d e^{m} m x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 B c d e^{m} n^{2} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{8 B c d e^{m} n x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{2 B c d e^{m} x x^{m} x^{2 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{B d^{2} e^{m} m^{3} x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B d^{2} e^{m} m^{2} n x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B d^{2} e^{m} m^{2} x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{2 B d^{2} e^{m} m n^{2} x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{6 B d^{2} e^{m} m n x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B d^{2} e^{m} m x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{2 B d^{2} e^{m} n^{2} x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{3 B d^{2} e^{m} n x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} + \frac{B d^{2} e^{m} x x^{m} x^{3 n}}{m^{4} + 6 m^{3} n + 4 m^{3} + 11 m^{2} n^{2} + 18 m^{2} n + 6 m^{2} + 6 m n^{3} + 22 m n^{2} + 18 m n + 4 m + 6 n^{3} + 11 n^{2} + 6 n + 1} & \text{otherwise} \end{cases}"," ",0,"Piecewise(((A + B)*(c + d)**2*log(x)/e, Eq(m, -1) & Eq(n, 0)), ((A*c**2*log(x) + 2*A*c*d*x**n/n + A*d**2*x**(2*n)/(2*n) + B*c**2*x**n/n + B*c*d*x**(2*n)/n + B*d**2*x**(3*n)/(3*n))/e, Eq(m, -1)), (A*c**2*Piecewise((log(x), Eq(n, 0)), (-x**(-3*n)*(0**(1/n))**(-3*n)/(3*n), Eq(e, 0**(1/n))), (-e**(-3*n)*x**(-3*n)/(3*n), True))/e + 2*A*c*d*Piecewise((log(x), Eq(n, 0)), (-x**n/(3*0**(1/n)*zoo**(1/n)*n*x**(3*n)*(0**(1/n))**(3*n) - n*x**(3*n)*(0**(1/n))**(3*n)), Eq(e, 0**(1/n))), (-e**(-3*n)*x**(-2*n)/(2*n), True))/e + A*d**2*Piecewise((log(x), Eq(n, 0)), (-x**(2*n)/(3*0**(1/n)*zoo**(1/n)*n*x**(3*n)*(0**(1/n))**(3*n) - 2*n*x**(3*n)*(0**(1/n))**(3*n)), Eq(e, 0**(1/n))), (-e**(-3*n)*x**(-n)/n, True))/e + B*c**2*Piecewise((log(x), Eq(n, 0)), (-x**n/(3*0**(1/n)*zoo**(1/n)*n*x**(3*n)*(0**(1/n))**(3*n) - n*x**(3*n)*(0**(1/n))**(3*n)), Eq(e, 0**(1/n))), (-e**(-3*n)*x**(-2*n)/(2*n), True))/e + 2*B*c*d*Piecewise((log(x), Eq(n, 0)), (-x**(2*n)/(3*0**(1/n)*zoo**(1/n)*n*x**(3*n)*(0**(1/n))**(3*n) - 2*n*x**(3*n)*(0**(1/n))**(3*n)), Eq(e, 0**(1/n))), (-e**(-3*n)*x**(-n)/n, True))/e + B*d**2*Piecewise((e**(-3*n)*log(x), Abs(x) < 1), (-e**(-3*n)*log(1/x), 1/Abs(x) < 1), (-e**(-3*n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-3*n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e, Eq(m, -3*n - 1)), (A*c**2*Piecewise((log(x), Eq(n, 0)), (-x**(-2*n)*(0**(1/n))**(-2*n)/(2*n), Eq(e, 0**(1/n))), (-e**(-2*n)*x**(-2*n)/(2*n), True))/e + 2*A*c*d*Piecewise((log(x), Eq(n, 0)), (-x**n/(2*0**(1/n)*zoo**(1/n)*n*x**(2*n)*(0**(1/n))**(2*n) - n*x**(2*n)*(0**(1/n))**(2*n)), Eq(e, 0**(1/n))), (-e**(-2*n)*x**(-n)/n, True))/e + A*d**2*Piecewise((e**(-2*n)*log(x), Abs(x) < 1), (-e**(-2*n)*log(1/x), 1/Abs(x) < 1), (-e**(-2*n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-2*n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e + B*c**2*Piecewise((log(x), Eq(n, 0)), (-x**n/(2*0**(1/n)*zoo**(1/n)*n*x**(2*n)*(0**(1/n))**(2*n) - n*x**(2*n)*(0**(1/n))**(2*n)), Eq(e, 0**(1/n))), (-e**(-2*n)*x**(-n)/n, True))/e + 2*B*c*d*Piecewise((e**(-2*n)*log(x), Abs(x) < 1), (-e**(-2*n)*log(1/x), 1/Abs(x) < 1), (-e**(-2*n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-2*n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e + B*d**2*Piecewise((log(x), Eq(n, 0)), (-x**(3*n)/(2*0**(1/n)*zoo**(1/n)*n*x**(2*n)*(0**(1/n))**(2*n) - 3*n*x**(2*n)*(0**(1/n))**(2*n)), Eq(e, 0**(1/n))), (e**(-2*n)*x**n/n, True))/e, Eq(m, -2*n - 1)), (A*c**2*Piecewise((log(x), Eq(n, 0)), (-x**(-n)*(0**(1/n))**(-n)/n, Eq(e, 0**(1/n))), (-e**(-n)*x**(-n)/n, True))/e + 2*A*c*d*Piecewise((e**(-n)*log(x), Abs(x) < 1), (-e**(-n)*log(1/x), 1/Abs(x) < 1), (-e**(-n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e + A*d**2*Piecewise((log(x), Eq(n, 0)), (-x**(2*n)/(0**(1/n)*zoo**(1/n)*n*x**n*(0**(1/n))**n - 2*n*x**n*(0**(1/n))**n), Eq(e, 0**(1/n))), (e**(-n)*x**n/n, True))/e + B*c**2*Piecewise((e**(-n)*log(x), Abs(x) < 1), (-e**(-n)*log(1/x), 1/Abs(x) < 1), (-e**(-n)*meijerg(((), (1, 1)), ((0, 0), ()), x) + e**(-n)*meijerg(((1, 1), ()), ((), (0, 0)), x), True))/e + 2*B*c*d*Piecewise((log(x), Eq(n, 0)), (-x**(2*n)/(0**(1/n)*zoo**(1/n)*n*x**n*(0**(1/n))**n - 2*n*x**n*(0**(1/n))**n), Eq(e, 0**(1/n))), (e**(-n)*x**n/n, True))/e + B*d**2*Piecewise((log(x), Eq(n, 0)), (-x**(3*n)/(0**(1/n)*zoo**(1/n)*n*x**n*(0**(1/n))**n - 3*n*x**n*(0**(1/n))**n), Eq(e, 0**(1/n))), (e**(-n)*x**(2*n)/(2*n), True))/e, Eq(m, -n - 1)), (A*c**2*e**m*m**3*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*A*c**2*e**m*m**2*n*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*c**2*e**m*m**2*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 11*A*c**2*e**m*m*n**2*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 12*A*c**2*e**m*m*n*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*c**2*e**m*m*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*A*c**2*e**m*n**3*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 11*A*c**2*e**m*n**2*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*A*c**2*e**m*n*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + A*c**2*e**m*x*x**m/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 2*A*c*d*e**m*m**3*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 10*A*c*d*e**m*m**2*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*A*c*d*e**m*m**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 12*A*c*d*e**m*m*n**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 20*A*c*d*e**m*m*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*A*c*d*e**m*m*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 12*A*c*d*e**m*n**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 10*A*c*d*e**m*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 2*A*c*d*e**m*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + A*d**2*e**m*m**3*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 4*A*d**2*e**m*m**2*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*d**2*e**m*m**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*d**2*e**m*m*n**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 8*A*d**2*e**m*m*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*d**2*e**m*m*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*A*d**2*e**m*n**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 4*A*d**2*e**m*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + A*d**2*e**m*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + B*c**2*e**m*m**3*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 5*B*c**2*e**m*m**2*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*c**2*e**m*m**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*B*c**2*e**m*m*n**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 10*B*c**2*e**m*m*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*c**2*e**m*m*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*B*c**2*e**m*n**2*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 5*B*c**2*e**m*n*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + B*c**2*e**m*x*x**m*x**n/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 2*B*c*d*e**m*m**3*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 8*B*c*d*e**m*m**2*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*B*c*d*e**m*m**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*B*c*d*e**m*m*n**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 16*B*c*d*e**m*m*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*B*c*d*e**m*m*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*B*c*d*e**m*n**2*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 8*B*c*d*e**m*n*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 2*B*c*d*e**m*x*x**m*x**(2*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + B*d**2*e**m*m**3*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*d**2*e**m*m**2*n*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*d**2*e**m*m**2*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 2*B*d**2*e**m*m*n**2*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 6*B*d**2*e**m*m*n*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*d**2*e**m*m*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 2*B*d**2*e**m*n**2*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + 3*B*d**2*e**m*n*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1) + B*d**2*e**m*x*x**m*x**(3*n)/(m**4 + 6*m**3*n + 4*m**3 + 11*m**2*n**2 + 18*m**2*n + 6*m**2 + 6*m*n**3 + 22*m*n**2 + 18*m*n + 4*m + 6*n**3 + 11*n**2 + 6*n + 1), True))","A",0
12,1,1085,0,23.455555," ","integrate((e*x)**m*(A+B*x**n)*(c+d*x**n)**2/(a+b*x**n),x)","\frac{A c^{2} e^{m} m x x^{m} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{A c^{2} e^{m} x x^{m} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{2 A c d e^{m} m x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{2 A c d e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{2 A c d e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{A d^{2} e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{2 A d^{2} e^{m} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{A d^{2} e^{m} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{B c^{2} e^{m} m x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B c^{2} e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B c^{2} e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{2 B c d e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{4 B c d e^{m} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{2 B c d e^{m} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{B d^{2} e^{m} m x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{3 B d^{2} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{B d^{2} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)}"," ",0,"A*c**2*e**m*m*x*x**m*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a*n**2*gamma(m/n + 1 + 1/n)) + A*c**2*e**m*x*x**m*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a*n**2*gamma(m/n + 1 + 1/n)) + 2*A*c*d*e**m*m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n**2*gamma(m/n + 2 + 1/n)) + 2*A*c*d*e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n*gamma(m/n + 2 + 1/n)) + 2*A*c*d*e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n**2*gamma(m/n + 2 + 1/n)) + A*d**2*e**m*m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n**2*gamma(m/n + 3 + 1/n)) + 2*A*d**2*e**m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n*gamma(m/n + 3 + 1/n)) + A*d**2*e**m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n**2*gamma(m/n + 3 + 1/n)) + B*c**2*e**m*m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n**2*gamma(m/n + 2 + 1/n)) + B*c**2*e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n*gamma(m/n + 2 + 1/n)) + B*c**2*e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n**2*gamma(m/n + 2 + 1/n)) + 2*B*c*d*e**m*m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n**2*gamma(m/n + 3 + 1/n)) + 4*B*c*d*e**m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n*gamma(m/n + 3 + 1/n)) + 2*B*c*d*e**m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n**2*gamma(m/n + 3 + 1/n)) + B*d**2*e**m*m*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(a*n**2*gamma(m/n + 4 + 1/n)) + 3*B*d**2*e**m*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(a*n*gamma(m/n + 4 + 1/n)) + B*d**2*e**m*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(a*n**2*gamma(m/n + 4 + 1/n))","C",0
13,-1,0,0,0.000000," ","integrate((e*x)**m*(A+B*x**n)*(c+d*x**n)**2/(a+b*x**n)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
14,-1,0,0,0.000000," ","integrate((e*x)**m*(A+B*x**n)*(c+d*x**n)**2/(a+b*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
15,-1,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)**3*(A+B*x**n)*(c+d*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
16,-1,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)**2*(A+B*x**n)*(c+d*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
17,-1,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)*(A+B*x**n)*(c+d*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
18,-1,0,0,0.000000," ","integrate((e*x)**m*(A+B*x**n)*(c+d*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
19,1,1503,0,45.806249," ","integrate((e*x)**m*(A+B*x**n)*(c+d*x**n)**3/(a+b*x**n),x)","\frac{A c^{3} e^{m} m x x^{m} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{A c^{3} e^{m} x x^{m} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{3 A c^{2} d e^{m} m x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{3 A c^{2} d e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{3 A c^{2} d e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{3 A c d^{2} e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{6 A c d^{2} e^{m} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{3 A c d^{2} e^{m} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{A d^{3} e^{m} m x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{3 A d^{3} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{A d^{3} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{B c^{3} e^{m} m x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B c^{3} e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B c^{3} e^{m} x x^{m} x^{n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{3 B c^{2} d e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{6 B c^{2} d e^{m} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{3 B c^{2} d e^{m} x x^{m} x^{2 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{3 B c d^{2} e^{m} m x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{9 B c d^{2} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{3 B c d^{2} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{B d^{3} e^{m} m x x^{m} x^{4 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 4 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)} + \frac{4 B d^{3} e^{m} x x^{m} x^{4 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 4 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)}{a n \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)} + \frac{B d^{3} e^{m} x x^{m} x^{4 n} \Phi\left(\frac{b x^{n} e^{i \pi}}{a}, 1, \frac{m}{n} + 4 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)}{a n^{2} \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)}"," ",0,"A*c**3*e**m*m*x*x**m*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a*n**2*gamma(m/n + 1 + 1/n)) + A*c**3*e**m*x*x**m*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1/n)*gamma(m/n + 1/n)/(a*n**2*gamma(m/n + 1 + 1/n)) + 3*A*c**2*d*e**m*m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n**2*gamma(m/n + 2 + 1/n)) + 3*A*c**2*d*e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n*gamma(m/n + 2 + 1/n)) + 3*A*c**2*d*e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n**2*gamma(m/n + 2 + 1/n)) + 3*A*c*d**2*e**m*m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n**2*gamma(m/n + 3 + 1/n)) + 6*A*c*d**2*e**m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n*gamma(m/n + 3 + 1/n)) + 3*A*c*d**2*e**m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n**2*gamma(m/n + 3 + 1/n)) + A*d**3*e**m*m*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(a*n**2*gamma(m/n + 4 + 1/n)) + 3*A*d**3*e**m*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(a*n*gamma(m/n + 4 + 1/n)) + A*d**3*e**m*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(a*n**2*gamma(m/n + 4 + 1/n)) + B*c**3*e**m*m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n**2*gamma(m/n + 2 + 1/n)) + B*c**3*e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n*gamma(m/n + 2 + 1/n)) + B*c**3*e**m*x*x**m*x**n*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(a*n**2*gamma(m/n + 2 + 1/n)) + 3*B*c**2*d*e**m*m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n**2*gamma(m/n + 3 + 1/n)) + 6*B*c**2*d*e**m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n*gamma(m/n + 3 + 1/n)) + 3*B*c**2*d*e**m*x*x**m*x**(2*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(a*n**2*gamma(m/n + 3 + 1/n)) + 3*B*c*d**2*e**m*m*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(a*n**2*gamma(m/n + 4 + 1/n)) + 9*B*c*d**2*e**m*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(a*n*gamma(m/n + 4 + 1/n)) + 3*B*c*d**2*e**m*x*x**m*x**(3*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(a*n**2*gamma(m/n + 4 + 1/n)) + B*d**3*e**m*m*x*x**m*x**(4*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 4 + 1/n)*gamma(m/n + 4 + 1/n)/(a*n**2*gamma(m/n + 5 + 1/n)) + 4*B*d**3*e**m*x*x**m*x**(4*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 4 + 1/n)*gamma(m/n + 4 + 1/n)/(a*n*gamma(m/n + 5 + 1/n)) + B*d**3*e**m*x*x**m*x**(4*n)*lerchphi(b*x**n*exp_polar(I*pi)/a, 1, m/n + 4 + 1/n)*gamma(m/n + 4 + 1/n)/(a*n**2*gamma(m/n + 5 + 1/n))","C",0
20,-1,0,0,0.000000," ","integrate((e*x)**m*(A+B*x**n)*(c+d*x**n)**3/(a+b*x**n)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
21,1,1921,0,80.302182," ","integrate((e*x)**m*(a+b*x**n)**4*(A+B*x**n)/(c+d*x**n),x)","\frac{A a^{4} e^{m} m x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{A a^{4} e^{m} x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{4 A a^{3} b e^{m} m x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{4 A a^{3} b e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{4 A a^{3} b e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{6 A a^{2} b^{2} e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{12 A a^{2} b^{2} e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{6 A a^{2} b^{2} e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{4 A a b^{3} e^{m} m x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{12 A a b^{3} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{4 A a b^{3} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{A b^{4} e^{m} m x x^{m} x^{4 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 4 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)} + \frac{4 A b^{4} e^{m} x x^{m} x^{4 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 4 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)} + \frac{A b^{4} e^{m} x x^{m} x^{4 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 4 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)} + \frac{B a^{4} e^{m} m x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B a^{4} e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B a^{4} e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{4 B a^{3} b e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{8 B a^{3} b e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{4 B a^{3} b e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{6 B a^{2} b^{2} e^{m} m x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{18 B a^{2} b^{2} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{6 B a^{2} b^{2} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{4 B a b^{3} e^{m} m x x^{m} x^{4 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 4 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)} + \frac{16 B a b^{3} e^{m} x x^{m} x^{4 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 4 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)} + \frac{4 B a b^{3} e^{m} x x^{m} x^{4 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 4 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)} + \frac{B b^{4} e^{m} m x x^{m} x^{5 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 5 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 6 + \frac{1}{n}\right)} + \frac{5 B b^{4} e^{m} x x^{m} x^{5 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 5 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 6 + \frac{1}{n}\right)} + \frac{B b^{4} e^{m} x x^{m} x^{5 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 5 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 6 + \frac{1}{n}\right)}"," ",0,"A*a**4*e**m*m*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*n**2*gamma(m/n + 1 + 1/n)) + A*a**4*e**m*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*n**2*gamma(m/n + 1 + 1/n)) + 4*A*a**3*b*e**m*m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + 4*A*a**3*b*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n*gamma(m/n + 2 + 1/n)) + 4*A*a**3*b*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + 6*A*a**2*b**2*e**m*m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n**2*gamma(m/n + 3 + 1/n)) + 12*A*a**2*b**2*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n*gamma(m/n + 3 + 1/n)) + 6*A*a**2*b**2*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n**2*gamma(m/n + 3 + 1/n)) + 4*A*a*b**3*e**m*m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n**2*gamma(m/n + 4 + 1/n)) + 12*A*a*b**3*e**m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n*gamma(m/n + 4 + 1/n)) + 4*A*a*b**3*e**m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n**2*gamma(m/n + 4 + 1/n)) + A*b**4*e**m*m*x*x**m*x**(4*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 4 + 1/n)*gamma(m/n + 4 + 1/n)/(c*n**2*gamma(m/n + 5 + 1/n)) + 4*A*b**4*e**m*x*x**m*x**(4*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 4 + 1/n)*gamma(m/n + 4 + 1/n)/(c*n*gamma(m/n + 5 + 1/n)) + A*b**4*e**m*x*x**m*x**(4*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 4 + 1/n)*gamma(m/n + 4 + 1/n)/(c*n**2*gamma(m/n + 5 + 1/n)) + B*a**4*e**m*m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + B*a**4*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n*gamma(m/n + 2 + 1/n)) + B*a**4*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + 4*B*a**3*b*e**m*m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n**2*gamma(m/n + 3 + 1/n)) + 8*B*a**3*b*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n*gamma(m/n + 3 + 1/n)) + 4*B*a**3*b*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n**2*gamma(m/n + 3 + 1/n)) + 6*B*a**2*b**2*e**m*m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n**2*gamma(m/n + 4 + 1/n)) + 18*B*a**2*b**2*e**m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n*gamma(m/n + 4 + 1/n)) + 6*B*a**2*b**2*e**m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n**2*gamma(m/n + 4 + 1/n)) + 4*B*a*b**3*e**m*m*x*x**m*x**(4*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 4 + 1/n)*gamma(m/n + 4 + 1/n)/(c*n**2*gamma(m/n + 5 + 1/n)) + 16*B*a*b**3*e**m*x*x**m*x**(4*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 4 + 1/n)*gamma(m/n + 4 + 1/n)/(c*n*gamma(m/n + 5 + 1/n)) + 4*B*a*b**3*e**m*x*x**m*x**(4*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 4 + 1/n)*gamma(m/n + 4 + 1/n)/(c*n**2*gamma(m/n + 5 + 1/n)) + B*b**4*e**m*m*x*x**m*x**(5*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 5 + 1/n)*gamma(m/n + 5 + 1/n)/(c*n**2*gamma(m/n + 6 + 1/n)) + 5*B*b**4*e**m*x*x**m*x**(5*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 5 + 1/n)*gamma(m/n + 5 + 1/n)/(c*n*gamma(m/n + 6 + 1/n)) + B*b**4*e**m*x*x**m*x**(5*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 5 + 1/n)*gamma(m/n + 5 + 1/n)/(c*n**2*gamma(m/n + 6 + 1/n))","C",0
22,1,1503,0,45.411937," ","integrate((e*x)**m*(a+b*x**n)**3*(A+B*x**n)/(c+d*x**n),x)","\frac{A a^{3} e^{m} m x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{A a^{3} e^{m} x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{3 A a^{2} b e^{m} m x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{3 A a^{2} b e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{3 A a^{2} b e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{3 A a b^{2} e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{6 A a b^{2} e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{3 A a b^{2} e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{A b^{3} e^{m} m x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{3 A b^{3} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{A b^{3} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{B a^{3} e^{m} m x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B a^{3} e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B a^{3} e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{3 B a^{2} b e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{6 B a^{2} b e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{3 B a^{2} b e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{3 B a b^{2} e^{m} m x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{9 B a b^{2} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{3 B a b^{2} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{B b^{3} e^{m} m x x^{m} x^{4 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 4 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)} + \frac{4 B b^{3} e^{m} x x^{m} x^{4 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 4 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)} + \frac{B b^{3} e^{m} x x^{m} x^{4 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 4 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 5 + \frac{1}{n}\right)}"," ",0,"A*a**3*e**m*m*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*n**2*gamma(m/n + 1 + 1/n)) + A*a**3*e**m*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*n**2*gamma(m/n + 1 + 1/n)) + 3*A*a**2*b*e**m*m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + 3*A*a**2*b*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n*gamma(m/n + 2 + 1/n)) + 3*A*a**2*b*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + 3*A*a*b**2*e**m*m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n**2*gamma(m/n + 3 + 1/n)) + 6*A*a*b**2*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n*gamma(m/n + 3 + 1/n)) + 3*A*a*b**2*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n**2*gamma(m/n + 3 + 1/n)) + A*b**3*e**m*m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n**2*gamma(m/n + 4 + 1/n)) + 3*A*b**3*e**m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n*gamma(m/n + 4 + 1/n)) + A*b**3*e**m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n**2*gamma(m/n + 4 + 1/n)) + B*a**3*e**m*m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + B*a**3*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n*gamma(m/n + 2 + 1/n)) + B*a**3*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + 3*B*a**2*b*e**m*m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n**2*gamma(m/n + 3 + 1/n)) + 6*B*a**2*b*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n*gamma(m/n + 3 + 1/n)) + 3*B*a**2*b*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n**2*gamma(m/n + 3 + 1/n)) + 3*B*a*b**2*e**m*m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n**2*gamma(m/n + 4 + 1/n)) + 9*B*a*b**2*e**m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n*gamma(m/n + 4 + 1/n)) + 3*B*a*b**2*e**m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n**2*gamma(m/n + 4 + 1/n)) + B*b**3*e**m*m*x*x**m*x**(4*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 4 + 1/n)*gamma(m/n + 4 + 1/n)/(c*n**2*gamma(m/n + 5 + 1/n)) + 4*B*b**3*e**m*x*x**m*x**(4*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 4 + 1/n)*gamma(m/n + 4 + 1/n)/(c*n*gamma(m/n + 5 + 1/n)) + B*b**3*e**m*x*x**m*x**(4*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 4 + 1/n)*gamma(m/n + 4 + 1/n)/(c*n**2*gamma(m/n + 5 + 1/n))","C",0
23,1,1085,0,23.349628," ","integrate((e*x)**m*(a+b*x**n)**2*(A+B*x**n)/(c+d*x**n),x)","\frac{A a^{2} e^{m} m x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{A a^{2} e^{m} x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{2 A a b e^{m} m x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{2 A a b e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{2 A a b e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{A b^{2} e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{2 A b^{2} e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{A b^{2} e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{B a^{2} e^{m} m x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B a^{2} e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B a^{2} e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{2 B a b e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{4 B a b e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{2 B a b e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{B b^{2} e^{m} m x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{3 B b^{2} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)} + \frac{B b^{2} e^{m} x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 3 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 4 + \frac{1}{n}\right)}"," ",0,"A*a**2*e**m*m*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*n**2*gamma(m/n + 1 + 1/n)) + A*a**2*e**m*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*n**2*gamma(m/n + 1 + 1/n)) + 2*A*a*b*e**m*m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + 2*A*a*b*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n*gamma(m/n + 2 + 1/n)) + 2*A*a*b*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + A*b**2*e**m*m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n**2*gamma(m/n + 3 + 1/n)) + 2*A*b**2*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n*gamma(m/n + 3 + 1/n)) + A*b**2*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n**2*gamma(m/n + 3 + 1/n)) + B*a**2*e**m*m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + B*a**2*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n*gamma(m/n + 2 + 1/n)) + B*a**2*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + 2*B*a*b*e**m*m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n**2*gamma(m/n + 3 + 1/n)) + 4*B*a*b*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n*gamma(m/n + 3 + 1/n)) + 2*B*a*b*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n**2*gamma(m/n + 3 + 1/n)) + B*b**2*e**m*m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n**2*gamma(m/n + 4 + 1/n)) + 3*B*b**2*e**m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n*gamma(m/n + 4 + 1/n)) + B*b**2*e**m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 3 + 1/n)*gamma(m/n + 3 + 1/n)/(c*n**2*gamma(m/n + 4 + 1/n))","C",0
24,1,666,0,10.355139," ","integrate((e*x)**m*(a+b*x**n)*(A+B*x**n)/(c+d*x**n),x)","\frac{A a e^{m} m x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{A a e^{m} x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{A b e^{m} m x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{A b e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{A b e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B a e^{m} m x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B a e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B a e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B b e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{2 B b e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)} + \frac{B b e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)}"," ",0,"A*a*e**m*m*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*n**2*gamma(m/n + 1 + 1/n)) + A*a*e**m*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*n**2*gamma(m/n + 1 + 1/n)) + A*b*e**m*m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + A*b*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n*gamma(m/n + 2 + 1/n)) + A*b*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + B*a*e**m*m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + B*a*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n*gamma(m/n + 2 + 1/n)) + B*a*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + B*b*e**m*m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n**2*gamma(m/n + 3 + 1/n)) + 2*B*b*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n*gamma(m/n + 3 + 1/n)) + B*b*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*n**2*gamma(m/n + 3 + 1/n))","C",0
25,1,284,0,4.088546," ","integrate((e*x)**m*(A+B*x**n)/(c+d*x**n),x)","\frac{A e^{m} m x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{A e^{m} x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)} + \frac{B e^{m} m x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)} + \frac{B e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c n^{2} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}"," ",0,"A*e**m*m*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*n**2*gamma(m/n + 1 + 1/n)) + A*e**m*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*n**2*gamma(m/n + 1 + 1/n)) + B*e**m*m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n)) + B*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n*gamma(m/n + 2 + 1/n)) + B*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*n**2*gamma(m/n + 2 + 1/n))","C",0
26,-2,0,0,0.000000," ","integrate((e*x)**m*(A+B*x**n)/(a+b*x**n)/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
27,-2,0,0,0.000000," ","integrate((e*x)**m*(A+B*x**n)/(a+b*x**n)**2/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
28,-2,0,0,0.000000," ","integrate((e*x)**m*(A+B*x**n)/(a+b*x**n)**3/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
29,-1,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)**3*(A+B*x**n)/(c+d*x**n)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
30,-1,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)**2*(A+B*x**n)/(c+d*x**n)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
31,1,4129,0,48.846797," ","integrate((e*x)**m*(a+b*x**n)*(A+B*x**n)/(c+d*x**n)**2,x)","A a \left(- \frac{e^{m} m^{2} x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{e^{m} m n x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{e^{m} m n x x^{m} \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{2 e^{m} m x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{e^{m} n x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{e^{m} n x x^{m} \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{e^{m} x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{d e^{m} m^{2} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{d e^{m} m n x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{2 d e^{m} m x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{d e^{m} n x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{d e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)}\right) + A b \left(- \frac{e^{m} m^{2} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} m n x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} m n x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{2 e^{m} m x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} n^{2} x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} n x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} n x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{d e^{m} m^{2} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{d e^{m} m n x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{2 d e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{d e^{m} n x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{d e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)}\right) + B a \left(- \frac{e^{m} m^{2} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} m n x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} m n x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{2 e^{m} m x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} n^{2} x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} n x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} n x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{d e^{m} m^{2} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{d e^{m} m n x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{2 d e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{d e^{m} n x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{d e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)}\right) + B b \left(- \frac{e^{m} m^{2} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{3 e^{m} m n x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} + \frac{e^{m} m n x x^{m} x^{2 n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{2 e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{2 e^{m} n^{2} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} + \frac{2 e^{m} n^{2} x x^{m} x^{2 n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{3 e^{m} n x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} + \frac{e^{m} n x x^{m} x^{2 n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{d e^{m} m^{2} x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{3 d e^{m} m n x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{2 d e^{m} m x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{2 d e^{m} n^{2} x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{3 d e^{m} n x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)} - \frac{d e^{m} x x^{m} x^{3 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 2 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 3 + \frac{1}{n}\right)\right)}\right)"," ",0,"A*a*(-e**m*m**2*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) + e**m*m*n*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) + e**m*m*n*x*x**m*gamma(m/n + 1/n)/(c*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) - 2*e**m*m*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) + e**m*n*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) + e**m*n*x*x**m*gamma(m/n + 1/n)/(c*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) - e**m*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) - d*e**m*m**2*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c**2*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) + d*e**m*m*n*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c**2*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) - 2*d*e**m*m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c**2*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) + d*e**m*n*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c**2*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) - d*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c**2*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n)))) + A*b*(-e**m*m**2*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*m*n*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*m*n*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - 2*e**m*m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*n**2*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*n*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*n*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - d*e**m*m**2*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - d*e**m*m*n*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - 2*d*e**m*m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - d*e**m*n*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - d*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n)))) + B*a*(-e**m*m**2*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*m*n*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*m*n*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - 2*e**m*m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*n**2*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*n*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*n*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - d*e**m*m**2*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - d*e**m*m*n*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - 2*d*e**m*m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - d*e**m*n*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - d*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n)))) + B*b*(-e**m*m**2*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))) - 3*e**m*m*n*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))) + e**m*m*n*x*x**m*x**(2*n)*gamma(m/n + 2 + 1/n)/(c*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))) - 2*e**m*m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))) - 2*e**m*n**2*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))) + 2*e**m*n**2*x*x**m*x**(2*n)*gamma(m/n + 2 + 1/n)/(c*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))) - 3*e**m*n*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))) + e**m*n*x*x**m*x**(2*n)*gamma(m/n + 2 + 1/n)/(c*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))) - e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))) - d*e**m*m**2*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c**2*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))) - 3*d*e**m*m*n*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c**2*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))) - 2*d*e**m*m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c**2*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))) - 2*d*e**m*n**2*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c**2*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))) - 3*d*e**m*n*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c**2*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))) - d*e**m*x*x**m*x**(3*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 2 + 1/n)*gamma(m/n + 2 + 1/n)/(c**2*(c*n**3*gamma(m/n + 3 + 1/n) + d*n**3*x**n*gamma(m/n + 3 + 1/n))))","C",0
32,1,1897,0,17.415962," ","integrate((e*x)**m*(A+B*x**n)/(c+d*x**n)**2,x)","A \left(- \frac{e^{m} m^{2} x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{e^{m} m n x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{e^{m} m n x x^{m} \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{2 e^{m} m x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{e^{m} n x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{e^{m} n x x^{m} \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{e^{m} x x^{m} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{d e^{m} m^{2} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{d e^{m} m n x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{2 d e^{m} m x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} + \frac{d e^{m} n x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)} - \frac{d e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)\right)}\right) + B \left(- \frac{e^{m} m^{2} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} m n x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} m n x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{2 e^{m} m x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} n^{2} x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} n x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} + \frac{e^{m} n x x^{m} x^{n} \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{e^{m} x x^{m} x^{n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{d e^{m} m^{2} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{d e^{m} m n x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{2 d e^{m} m x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{d e^{m} n x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)} - \frac{d e^{m} x x^{m} x^{2 n} \Phi\left(\frac{d x^{n} e^{i \pi}}{c}, 1, \frac{m}{n} + 1 + \frac{1}{n}\right) \Gamma\left(\frac{m}{n} + 1 + \frac{1}{n}\right)}{c^{2} \left(c n^{3} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right) + d n^{3} x^{n} \Gamma\left(\frac{m}{n} + 2 + \frac{1}{n}\right)\right)}\right)"," ",0,"A*(-e**m*m**2*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) + e**m*m*n*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) + e**m*m*n*x*x**m*gamma(m/n + 1/n)/(c*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) - 2*e**m*m*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) + e**m*n*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) + e**m*n*x*x**m*gamma(m/n + 1/n)/(c*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) - e**m*x*x**m*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) - d*e**m*m**2*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c**2*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) + d*e**m*m*n*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c**2*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) - 2*d*e**m*m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c**2*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) + d*e**m*n*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c**2*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n))) - d*e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1/n)*gamma(m/n + 1/n)/(c**2*(c*n**3*gamma(m/n + 1 + 1/n) + d*n**3*x**n*gamma(m/n + 1 + 1/n)))) + B*(-e**m*m**2*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*m*n*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*m*n*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - 2*e**m*m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*n**2*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*n*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) + e**m*n*x*x**m*x**n*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - e**m*x*x**m*x**n*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - d*e**m*m**2*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - d*e**m*m*n*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - 2*d*e**m*m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - d*e**m*n*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))) - d*e**m*x*x**m*x**(2*n)*lerchphi(d*x**n*exp_polar(I*pi)/c, 1, m/n + 1 + 1/n)*gamma(m/n + 1 + 1/n)/(c**2*(c*n**3*gamma(m/n + 2 + 1/n) + d*n**3*x**n*gamma(m/n + 2 + 1/n))))","C",0
33,-2,0,0,0.000000," ","integrate((e*x)**m*(A+B*x**n)/(a+b*x**n)/(c+d*x**n)**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
34,-2,0,0,0.000000," ","integrate((e*x)**m*(A+B*x**n)/(a+b*x**n)**2/(c+d*x**n)**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
35,-1,0,0,0.000000," ","integrate((e*x)**m*(A+B*x**n)/(a+b*x**n)**3/(c+d*x**n)**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
36,-1,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)**2*(A+B*x**n)/(c+d*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
37,-1,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)*(A+B*x**n)/(c+d*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
38,-1,0,0,0.000000," ","integrate((e*x)**m*(A+B*x**n)/(c+d*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
39,-2,0,0,0.000000," ","integrate((e*x)**m*(A+B*x**n)/(a+b*x**n)/(c+d*x**n)**3,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
40,-1,0,0,0.000000," ","integrate((e*x)**m*(A+B*x**n)/(a+b*x**n)**2/(c+d*x**n)**3,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
41,-2,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)**p*(A+B*x**n)*(c+d*x**n)**q,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
42,-1,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)**p*(A+B*x**n)*(c+d*x**n),x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
43,-2,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)**p*(A+B*x**n)/(c+d*x**n),x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
44,-2,0,0,0.000000," ","integrate((e*x)**m*(a+b*x**n)**p*(A+B*x**n)/(c+d*x**n)**2,x)","\text{Exception raised: HeuristicGCDFailed}"," ",0,"Exception raised: HeuristicGCDFailed","F(-2)",0
45,-1,0,0,0.000000," ","integrate((-a+b*x**(1/2*n))**(-1+1/n)*(a+b*x**(1/2*n))**(-1+1/n)*(c+d*x**n)/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
46,-1,0,0,0.000000," ","integrate((-a+b*x**(1/2*n))**((1-n)/n)*(a+b*x**(1/2*n))**((1-n)/n)*(c+d*x**n)/x**2,x)","\text{Timed out}"," ",0,"Timed out","F(-1)",0
