Optimal. Leaf size=36 \[ \text{Int}\left (x^m e^{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3},x\right ) \]
[Out]
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Rubi [A] time = 0.14222, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0. \[ \text{Int}\left (e^{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} x^m,x\right ) \]
Verification is Not applicable to the result.
[In] Int[E^(a^3 + 3*a^2*b*x + 3*a*b^2*x^2 + b^3*x^3)*x^m,x]
[Out]
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Rubi in Sympy [A] time = 0., size = 0, normalized size = 0. \[ \int x^{m} e^{a^{3} + 3 a^{2} b x + 3 a b^{2} x^{2} + b^{3} x^{3}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp(b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3)*x**m,x)
[Out]
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Mathematica [A] time = 0.251999, size = 0, normalized size = 0. \[ \int e^{a^3+3 a^2 b x+3 a b^2 x^2+b^3 x^3} x^m \, dx \]
Verification is Not applicable to the result.
[In] Integrate[E^(a^3 + 3*a^2*b*x + 3*a*b^2*x^2 + b^3*x^3)*x^m,x]
[Out]
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Maple [A] time = 0.042, size = 0, normalized size = 0. \[ \int{{\rm e}^{{b}^{3}{x}^{3}+3\,a{b}^{2}{x}^{2}+3\,{a}^{2}bx+{a}^{3}}}{x}^{m}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp(b^3*x^3+3*a*b^2*x^2+3*a^2*b*x+a^3)*x^m,x)
[Out]
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Maxima [A] time = 0., size = 0, normalized size = 0. \[ \int x^{m} e^{\left (b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right )}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^m*e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0., size = 0, normalized size = 0. \[{\rm integral}\left (x^{m} e^{\left (b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right )}, x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^m*e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3),x, algorithm="fricas")
[Out]
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Sympy [F(-1)] time = 0., size = 0, normalized size = 0. \[ \text{Timed out} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(exp(b**3*x**3+3*a*b**2*x**2+3*a**2*b*x+a**3)*x**m,x)
[Out]
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GIAC/XCAS [A] time = 0., size = 0, normalized size = 0. \[ \int x^{m} e^{\left (b^{3} x^{3} + 3 \, a b^{2} x^{2} + 3 \, a^{2} b x + a^{3}\right )}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(x^m*e^(b^3*x^3 + 3*a*b^2*x^2 + 3*a^2*b*x + a^3),x, algorithm="giac")
[Out]