Optimal. Leaf size=10 \[ \frac {5 x}{9+e^3} \]
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Rubi [A] time = 0.00, antiderivative size = 10, 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 = {8} \begin {gather*} \frac {5 x}{9+e^3} \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {5 x}{9+e^3}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 10, normalized size = 1.00 \begin {gather*} \frac {5 x}{9+e^3} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.79, size = 9, normalized size = 0.90 \begin {gather*} \frac {5 \, x}{e^{3} + 9} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.29, size = 9, normalized size = 0.90 \begin {gather*} \frac {5 \, x}{e^{3} + 9} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 10, normalized size = 1.00
method | result | size |
default | \(\frac {5 x}{{\mathrm e}^{3}+9}\) | \(10\) |
norman | \(\frac {5 x}{{\mathrm e}^{3}+9}\) | \(10\) |
risch | \(\frac {5 x}{{\mathrm e}^{3}+9}\) | \(10\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 9, normalized size = 0.90 \begin {gather*} \frac {5 \, x}{e^{3} + 9} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.00, size = 9, normalized size = 0.90 \begin {gather*} \frac {5\,x}{{\mathrm {e}}^3+9} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.04, size = 7, normalized size = 0.70 \begin {gather*} \frac {5 x}{9 + e^{3}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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