Optimal. Leaf size=13 \[ e^{5 \left (1+e^{18}\right )^2} x \]
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Rubi [A]
time = 0.05, antiderivative size = 13, normalized size of antiderivative = 1.00, number of steps
used = 1, number of rules used = 1, integrand size = 14, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.071, Rules used = {8}
\begin {gather*} e^{5 \left (1+e^{18}\right )^2} x \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=e^{5 \left (1+e^{18}\right )^2} x\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 16, normalized size = 1.23 \begin {gather*} e^{5+10 e^{18}+5 e^{36}} x \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.02, size = 18, normalized size = 1.38
method | result | size |
risch | \(x \,{\mathrm e}^{5 \,{\mathrm e}^{36}+10 \,{\mathrm e}^{18}+5}\) | \(14\) |
default | \(x \,{\mathrm e}^{5 \,{\mathrm e}^{36}+10 \,{\mathrm e}^{18}+5}\) | \(18\) |
norman | \({\mathrm e}^{5 \,{\mathrm e}^{36}} {\mathrm e}^{10 \,{\mathrm e}^{18}} {\mathrm e}^{5} x\) | \(19\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.30, size = 13, normalized size = 1.00 \begin {gather*} x e^{\left (5 \, e^{36} + 10 \, e^{18} + 5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.30, size = 13, normalized size = 1.00 \begin {gather*} x e^{\left (5 \, e^{36} + 10 \, e^{18} + 5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.00, size = 14, normalized size = 1.08 \begin {gather*} x e^{5 + 10 e^{18} + 5 e^{36}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.44, size = 13, normalized size = 1.00 \begin {gather*} x e^{\left (5 \, e^{36} + 10 \, e^{18} + 5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.00, size = 13, normalized size = 1.00 \begin {gather*} x\,{\mathrm {e}}^{10\,{\mathrm {e}}^{18}+5\,{\mathrm {e}}^{36}+5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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