Optimal. Leaf size=9 \[ \frac {x}{7+e^{64}} \]
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Rubi [A] time = 0.00, antiderivative size = 9, normalized size of antiderivative = 1.00, number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {8} \begin {gather*} \frac {x}{7+e^{64}} \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {x}{7+e^{64}}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 9, normalized size = 1.00 \begin {gather*} \frac {x}{7+e^{64}} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.45, size = 8, normalized size = 0.89 \begin {gather*} \frac {x}{e^{64} + 7} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.15, size = 8, normalized size = 0.89 \begin {gather*} \frac {x}{e^{64} + 7} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 9, normalized size = 1.00
method | result | size |
default | \(\frac {x}{{\mathrm e}^{64}+7}\) | \(9\) |
norman | \(\frac {x}{{\mathrm e}^{64}+7}\) | \(9\) |
risch | \(\frac {x}{{\mathrm e}^{64}+7}\) | \(9\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.35, size = 8, normalized size = 0.89 \begin {gather*} \frac {x}{e^{64} + 7} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.00, size = 8, normalized size = 0.89 \begin {gather*} \frac {x}{{\mathrm {e}}^{64}+7} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.04, size = 5, normalized size = 0.56 \begin {gather*} \frac {x}{7 + e^{64}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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