Optimal. Leaf size=12 \[ 2+\frac {90 x}{e \log (2)} \]
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Rubi [A] time = 0.00, antiderivative size = 10, normalized size of antiderivative = 0.83, 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 {90 x}{e \log (2)} \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {90 x}{e \log (2)}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 10, normalized size = 0.83 \begin {gather*} \frac {90 x}{e \log (2)} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.72, size = 9, normalized size = 0.75 \begin {gather*} \frac {90 \, x e^{\left (-1\right )}}{\log \relax (2)} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.15, size = 9, normalized size = 0.75 \begin {gather*} \frac {90 \, x e^{\left (-1\right )}}{\log \relax (2)} \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 = 0.83
method | result | size |
risch | \(\frac {90 \,{\mathrm e}^{-1} x}{\ln \relax (2)}\) | \(10\) |
default | \(\frac {90 \,{\mathrm e}^{-1} x}{\ln \relax (2)}\) | \(12\) |
norman | \(\frac {90 \,{\mathrm e}^{-1} x}{\ln \relax (2)}\) | \(12\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 9, normalized size = 0.75 \begin {gather*} \frac {90 \, x e^{\left (-1\right )}}{\log \relax (2)} \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 = 0.75 \begin {gather*} \frac {90\,x\,{\mathrm {e}}^{-1}}{\ln \relax (2)} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.02, size = 8, normalized size = 0.67 \begin {gather*} \frac {90 x}{e \log {\relax (2 )}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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