Optimal. Leaf size=7 \[ 10+e^{x^2} \]
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Rubi [A]
time = 0.01, antiderivative size = 5, normalized size of antiderivative = 0.71, number of steps
used = 2, number of rules used = 2, integrand size = 8, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.250, Rules used = {12, 2240}
\begin {gather*} e^{x^2} \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2240
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=2 \int e^{x^2} x \, dx\\ &=e^{x^2}\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.01, size = 5, normalized size = 0.71 \begin {gather*} e^{x^2} \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.04, size = 5, normalized size = 0.71
method | result | size |
gosper | \({\mathrm e}^{x^{2}}\) | \(5\) |
derivativedivides | \({\mathrm e}^{x^{2}}\) | \(5\) |
default | \({\mathrm e}^{x^{2}}\) | \(5\) |
norman | \({\mathrm e}^{x^{2}}\) | \(5\) |
risch | \({\mathrm e}^{x^{2}}\) | \(5\) |
meijerg | \({\mathrm e}^{x^{2}}-1\) | \(7\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.27, size = 4, normalized size = 0.57 \begin {gather*} e^{\left (x^{2}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.31, size = 4, normalized size = 0.57 \begin {gather*} e^{\left (x^{2}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.02, size = 3, normalized size = 0.43 \begin {gather*} e^{x^{2}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.40, size = 4, normalized size = 0.57 \begin {gather*} e^{\left (x^{2}\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.02, size = 4, normalized size = 0.57 \begin {gather*} {\mathrm {e}}^{x^2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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