Optimal. Leaf size=15 \[ \sqrt [10]{3} \sqrt [10]{e^{2 x}} \]
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Rubi [A] time = 0.01, antiderivative size = 15, normalized size of antiderivative = 1.00, number of steps used = 2, number of rules used = 2, integrand size = 18, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {12, 2194} \begin {gather*} \sqrt [10]{3} \sqrt [10]{e^{2 x}} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2194
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {1}{5} \sqrt [10]{3} \int \sqrt [10]{e^{2 x}} \, dx\\ &=\sqrt [10]{3} \sqrt [10]{e^{2 x}}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.01, size = 15, normalized size = 1.00 \begin {gather*} \sqrt [10]{3} \sqrt [10]{e^{2 x}} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 1.02, size = 8, normalized size = 0.53 \begin {gather*} 3^{\frac {1}{10}} e^{\left (\frac {1}{5} \, x\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.18, size = 8, normalized size = 0.53 \begin {gather*} 3^{\frac {1}{10}} e^{\left (\frac {1}{5} \, x\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 13, normalized size = 0.87
method | result | size |
gosper | \(\left (\sqrt {3}\, \sqrt {{\mathrm e}^{2 x}}\right )^{\frac {1}{5}}\) | \(13\) |
derivativedivides | \(\left (\sqrt {3}\, \sqrt {{\mathrm e}^{2 x}}\right )^{\frac {1}{5}}\) | \(13\) |
default | \(\left (\sqrt {3}\, \sqrt {{\mathrm e}^{2 x}}\right )^{\frac {1}{5}}\) | \(13\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.45, size = 8, normalized size = 0.53 \begin {gather*} 3^{\frac {1}{10}} e^{\left (\frac {1}{5} \, x\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.07, size = 8, normalized size = 0.53 \begin {gather*} 3^{1/10}\,{\mathrm {e}}^{x/5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.10, size = 12, normalized size = 0.80 \begin {gather*} \sqrt [10]{3} \sqrt [10]{e^{2 x}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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