Optimal. Leaf size=9 \[ 3 e^{\sqrt [3]{x}} \]
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Rubi [A] time = 0.01, antiderivative size = 9, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 13, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.077, Rules used = {2209} \[ 3 e^{\sqrt [3]{x}} \]
Antiderivative was successfully verified.
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Rule 2209
Rubi steps
\begin {align*} \int \frac {e^{\sqrt [3]{x}}}{x^{2/3}} \, dx &=3 e^{\sqrt [3]{x}}\\ \end {align*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 1.00 \[ 3 e^{\sqrt [3]{x}} \]
Antiderivative was successfully verified.
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fricas [A] time = 0.40, size = 6, normalized size = 0.67 \[ 3 \, e^{\left (x^{\frac {1}{3}}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.21, size = 6, normalized size = 0.67 \[ 3 \, e^{\left (x^{\frac {1}{3}}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 7, normalized size = 0.78 \[ 3 \,{\mathrm e}^{x^{\frac {1}{3}}} \]
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.95, size = 6, normalized size = 0.67 \[ 3 \, e^{\left (x^{\frac {1}{3}}\right )} \]
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 3.57, size = 6, normalized size = 0.67 \[ 3\,{\mathrm {e}}^{x^{1/3}} \]
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.37, size = 7, normalized size = 0.78 \[ 3 e^{\sqrt [3]{x}} \]
Verification of antiderivative is not currently implemented for this CAS.
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