Optimal. Leaf size=28 \[ \text{Int}\left (\frac{e^{x (a d+b c)+a c+b d x^2}}{x},x\right ) \]
[Out]
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Rubi [A] time = 0.200442, 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. \[ \text{Int}\left (\frac{e^{(a+b x) (c+d x)}}{x},x\right ) \]
Verification is Not applicable to the result.
[In] Int[E^((a + b*x)*(c + d*x))/x,x]
[Out]
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Rubi in Sympy [A] time = 0., size = 0, normalized size = 0. \[ \int \frac{e^{a c + b d x^{2} + x \left (a d + b c\right )}}{x}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp((b*x+a)*(d*x+c))/x,x)
[Out]
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Mathematica [A] time = 0.682612, size = 0, normalized size = 0. \[ \int \frac{e^{(a+b x) (c+d x)}}{x} \, dx \]
Verification is Not applicable to the result.
[In] Integrate[E^((a + b*x)*(c + d*x))/x,x]
[Out]
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Maple [A] time = 0.023, size = 0, normalized size = 0. \[ \int{\frac{{{\rm e}^{ \left ( dx+c \right ) \left ( bx+a \right ) }}}{x}}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp((d*x+c)*(b*x+a))/x,x)
[Out]
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Maxima [A] time = 0., size = 0, normalized size = 0. \[ \int \frac{e^{\left ({\left (b x + a\right )}{\left (d x + c\right )}\right )}}{x}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^((b*x + a)*(d*x + c))/x,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0., size = 0, normalized size = 0. \[{\rm integral}\left (\frac{e^{\left (b d x^{2} + a c +{\left (b c + a d\right )} x\right )}}{x}, x\right ) \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^((b*x + a)*(d*x + c))/x,x, algorithm="fricas")
[Out]
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Sympy [A] time = 0., size = 0, normalized size = 0. \[ e^{a c} \int \frac{e^{a d x} e^{b c x} e^{b d x^{2}}}{x}\, dx \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(exp((b*x+a)*(d*x+c))/x,x)
[Out]
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GIAC/XCAS [A] time = 0., size = 0, normalized size = 0. \[ \int \frac{e^{\left ({\left (b x + a\right )}{\left (d x + c\right )}\right )}}{x}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^((b*x + a)*(d*x + c))/x,x, algorithm="giac")
[Out]