Optimal. Leaf size=14 \[ \frac {256 e^{24 e^{x^2}}}{x^2} \]
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Rubi [A]
time = 0.03, antiderivative size = 14, normalized size of antiderivative = 1.00, number of steps
used = 2, number of rules used = 2, integrand size = 26, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.077, Rules used = {12, 2326}
\begin {gather*} \frac {256 e^{24 e^{x^2}}}{x^2} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2326
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=16 \int \frac {e^{24 e^{x^2}} \left (-32+768 e^{x^2} x^2\right )}{x^3} \, dx\\ &=\frac {256 e^{24 e^{x^2}}}{x^2}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.01, size = 14, normalized size = 1.00 \begin {gather*} \frac {256 e^{24 e^{x^2}}}{x^2} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.06, size = 13, normalized size = 0.93
method | result | size |
risch | \(\frac {256 \,{\mathrm e}^{24 \,{\mathrm e}^{x^{2}}}}{x^{2}}\) | \(13\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.30, size = 12, normalized size = 0.86 \begin {gather*} \frac {256 \, e^{\left (24 \, e^{\left (x^{2}\right )}\right )}}{x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.45, size = 16, normalized size = 1.14 \begin {gather*} 16 \, e^{\left (24 \, e^{\left (x^{2}\right )} - 2 \, \log \left (\frac {1}{4} \, x\right )\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.05, size = 12, normalized size = 0.86 \begin {gather*} \frac {256 e^{24 e^{x^{2}}}}{x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 12, normalized size = 0.86 \begin {gather*} \frac {256 \, e^{\left (24 \, e^{\left (x^{2}\right )}\right )}}{x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 1.33, size = 12, normalized size = 0.86 \begin {gather*} \frac {256\,{\mathrm {e}}^{24\,{\mathrm {e}}^{x^2}}}{x^2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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