Optimal. Leaf size=22 \[ \text{Int}\left (\frac{e^{e (c+d x)^3}}{a+b x},x\right ) \]
[Out]
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Rubi [A] time = 0.0350013, 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. \[ \text{Int}\left (\frac{e^{e (c+d x)^3}}{a+b x},x\right ) \]
Verification is Not applicable to the result.
[In] Int[E^(e*(c + d*x)^3)/(a + b*x),x]
[Out]
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Rubi in Sympy [A] time = 0., size = 0, normalized size = 0. \[ \int \frac{e^{e \left (c + d x\right )^{3}}}{a + b x}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp(e*(d*x+c)**3)/(b*x+a),x)
[Out]
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Mathematica [A] time = 0.583459, size = 0, normalized size = 0. \[ \int \frac{e^{e (c+d x)^3}}{a+b x} \, dx \]
Verification is Not applicable to the result.
[In] Integrate[E^(e*(c + d*x)^3)/(a + b*x),x]
[Out]
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Maple [A] time = 0.052, size = 0, normalized size = 0. \[ \int{\frac{{{\rm e}^{e \left ( dx+c \right ) ^{3}}}}{bx+a}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp(e*(d*x+c)^3)/(b*x+a),x)
[Out]
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Maxima [A] time = 0., size = 0, normalized size = 0. \[ \int \frac{e^{\left ({\left (d x + c\right )}^{3} e\right )}}{b x + a}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^((d*x + c)^3*e)/(b*x + a),x, algorithm="maxima")
[Out]
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Fricas [A] time = 0., size = 0, normalized size = 0. \[{\rm integral}\left (\frac{e^{\left (d^{3} e x^{3} + 3 \, c d^{2} e x^{2} + 3 \, c^{2} d e x + c^{3} e\right )}}{b x + a}, x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^((d*x + c)^3*e)/(b*x + a),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(e*(d*x+c)**3)/(b*x+a),x)
[Out]
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GIAC/XCAS [A] time = 0., size = 0, normalized size = 0. \[ \int \frac{e^{\left ({\left (d x + c\right )}^{3} e\right )}}{b x + a}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^((d*x + c)^3*e)/(b*x + a),x, algorithm="giac")
[Out]