Optimal. Leaf size=19 \[ \sqrt{\pi } \text{Erfi}(x)-\frac{e^{x^2}}{x} \]
[Out]
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Rubi [A] time = 0.0268408, antiderivative size = 19, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 9, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.222 \[ \sqrt{\pi } \text{Erfi}(x)-\frac{e^{x^2}}{x} \]
Antiderivative was successfully verified.
[In] Int[E^x^2/x^2,x]
[Out]
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Rubi in Sympy [A] time = 2.91421, size = 14, normalized size = 0.74 \[ \sqrt{\pi } \operatorname{erfi}{\left (x \right )} - \frac{e^{x^{2}}}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] rubi_integrate(exp(x**2)/x**2,x)
[Out]
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Mathematica [A] time = 0.00752248, size = 19, normalized size = 1. \[ \sqrt{\pi } \text{Erfi}(x)-\frac{e^{x^2}}{x} \]
Antiderivative was successfully verified.
[In] Integrate[E^x^2/x^2,x]
[Out]
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Maple [A] time = 0.004, size = 17, normalized size = 0.9 \[ -{\frac{{{\rm e}^{{x}^{2}}}}{x}}+{\it erfi} \left ( x \right ) \sqrt{\pi } \]
Verification of antiderivative is not currently implemented for this CAS.
[In] int(exp(x^2)/x^2,x)
[Out]
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Maxima [A] time = 0.808435, size = 26, normalized size = 1.37 \[ -\frac{\sqrt{-x^{2}} \Gamma \left (-\frac{1}{2}, -x^{2}\right )}{2 \, x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(x^2)/x^2,x, algorithm="maxima")
[Out]
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Fricas [A] time = 0.283472, size = 24, normalized size = 1.26 \[ \frac{\sqrt{\pi } x \operatorname{erfi}\left (x\right ) - e^{\left (x^{2}\right )}}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(x^2)/x^2,x, algorithm="fricas")
[Out]
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Sympy [A] time = 1.08088, size = 14, normalized size = 0.74 \[ \sqrt{\pi } \operatorname{erfi}{\left (x \right )} - \frac{e^{x^{2}}}{x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(exp(x**2)/x**2,x)
[Out]
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GIAC/XCAS [F] time = 0., size = 0, normalized size = 0. \[ \int \frac{e^{\left (x^{2}\right )}}{x^{2}}\,{d x} \]
Verification of antiderivative is not currently implemented for this CAS.
[In] integrate(e^(x^2)/x^2,x, algorithm="giac")
[Out]