Optimal. Leaf size=18 \[ \frac {37}{3}-\frac {e^{x^2}}{x}-\log (3) \]
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Rubi [A] time = 0.03, antiderivative size = 10, normalized size of antiderivative = 0.56, number of steps used = 1, number of rules used = 1, integrand size = 16, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.062, Rules used = {2288} \begin {gather*} -\frac {e^{x^2}}{x} \end {gather*}
Antiderivative was successfully verified.
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Rule 2288
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\frac {e^{x^2}}{x}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 10, normalized size = 0.56 \begin {gather*} -\frac {e^{x^2}}{x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.83, size = 9, normalized size = 0.50 \begin {gather*} -\frac {e^{\left (x^{2}\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.25, size = 9, normalized size = 0.50 \begin {gather*} -\frac {e^{\left (x^{2}\right )}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.03, size = 10, normalized size = 0.56
method | result | size |
gosper | \(-\frac {{\mathrm e}^{x^{2}}}{x}\) | \(10\) |
default | \(-\frac {{\mathrm e}^{x^{2}}}{x}\) | \(10\) |
norman | \(-\frac {{\mathrm e}^{x^{2}}}{x}\) | \(10\) |
risch | \(-\frac {{\mathrm e}^{x^{2}}}{x}\) | \(10\) |
meijerg | \(-\sqrt {\pi }\, \erfi \relax (x )+\frac {i \left (\frac {2 i {\mathrm e}^{x^{2}}}{x}-2 i \sqrt {\pi }\, \erfi \relax (x )\right )}{2}\) | \(31\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [C] time = 0.52, size = 29, normalized size = 1.61 \begin {gather*} i \, \sqrt {\pi } \operatorname {erf}\left (i \, x\right ) - \frac {\sqrt {-x^{2}} \Gamma \left (-\frac {1}{2}, -x^{2}\right )}{2 \, x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.05, size = 9, normalized size = 0.50 \begin {gather*} -\frac {{\mathrm {e}}^{x^2}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 7, normalized size = 0.39 \begin {gather*} - \frac {e^{x^{2}}}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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