Optimal. Leaf size=9 \[ \frac {e^{x^3}}{3} \]
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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 = 9, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.111, Rules used = {2240}
\begin {gather*} \frac {e^{x^3}}{3} \end {gather*}
Antiderivative was successfully verified.
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Rule 2240
Rubi steps
\begin {align*} \int e^{x^3} x^2 \, dx &=\frac {e^{x^3}}{3}\\ \end {align*}
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Mathematica [A]
time = 0.01, size = 9, normalized size = 1.00 \begin {gather*} \frac {e^{x^3}}{3} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.01, size = 7, normalized size = 0.78
method | result | size |
gosper | \(\frac {{\mathrm e}^{x^{3}}}{3}\) | \(7\) |
derivativedivides | \(\frac {{\mathrm e}^{x^{3}}}{3}\) | \(7\) |
default | \(\frac {{\mathrm e}^{x^{3}}}{3}\) | \(7\) |
norman | \(\frac {{\mathrm e}^{x^{3}}}{3}\) | \(7\) |
risch | \(\frac {{\mathrm e}^{x^{3}}}{3}\) | \(7\) |
meijerg | \(-\frac {1}{3}+\frac {{\mathrm e}^{x^{3}}}{3}\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 2.98, size = 6, normalized size = 0.67 \begin {gather*} \frac {1}{3} \, e^{\left (x^{3}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.90, size = 6, normalized size = 0.67 \begin {gather*} \frac {1}{3} \, e^{\left (x^{3}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.02, size = 5, normalized size = 0.56 \begin {gather*} \frac {e^{x^{3}}}{3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.49, size = 6, normalized size = 0.67 \begin {gather*} \frac {1}{3} \, e^{\left (x^{3}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.08, size = 6, normalized size = 0.67 \begin {gather*} \frac {{\mathrm {e}}^{x^3}}{3} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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