Optimal. Leaf size=20 \[ \text{Int}\left (\frac{e^{a+b x-c x^2}}{x},x\right ) \]
[Out]
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Rubi [A] time = 0.0415549, 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. \[ \text{Int}\left (\frac{e^{a+b x-c x^2}}{x},x\right ) \]
Verification is Not applicable to the result.
[In] Int[E^(a + b*x - c*x^2)/x,x]
[Out]
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Rubi in Sympy [A] time = 0., size = 0, normalized size = 0. \[ \int \frac{e^{a + b x - c x^{2}}}{x}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp(-c*x**2+b*x+a)/x,x)
[Out]
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Mathematica [A] time = 0.155808, size = 0, normalized size = 0. \[ \int \frac{e^{a+b x-c x^2}}{x} \, dx \]
Verification is Not applicable to the result.
[In] Integrate[E^(a + b*x - c*x^2)/x,x]
[Out]
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Maple [A] time = 0.02, size = 0, normalized size = 0. \[ \int{\frac{{{\rm e}^{-c{x}^{2}+bx+a}}}{x}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp(-c*x^2+b*x+a)/x,x)
[Out]
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Maxima [A] time = 0., size = 0, normalized size = 0. \[ \int \frac{e^{\left (-c x^{2} + b x + a\right )}}{x}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(-c*x^2 + b*x + a)/x,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0., size = 0, normalized size = 0. \[{\rm integral}\left (\frac{e^{\left (-c x^{2} + b x + a\right )}}{x}, x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(-c*x^2 + b*x + a)/x,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0., size = 0, normalized size = 0. \[ e^{a} \int \frac{e^{b x} e^{- c x^{2}}}{x}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(exp(-c*x**2+b*x+a)/x,x)
[Out]
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GIAC/XCAS [A] time = 0., size = 0, normalized size = 0. \[ \int \frac{e^{\left (-c x^{2} + b x + a\right )}}{x}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(-c*x^2 + b*x + a)/x,x, algorithm="giac")
[Out]