Optimal. Leaf size=15 \[ \frac {4}{5} \left (5+\left (21+e^{3/16}\right ) x\right ) \]
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Rubi [A] time = 0.00, antiderivative size = 12, normalized size of antiderivative = 0.80, number of steps used = 1, number of rules used = 1, integrand size = 13, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.077, Rules used = {8} \begin {gather*} \frac {4}{5} \left (21+e^{3/16}\right ) x \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\frac {4}{5} \left (21+e^{3/16}\right ) x\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 16, normalized size = 1.07 \begin {gather*} \frac {84 x}{5}+\frac {4}{5} e^{3/16} x \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.74, size = 9, normalized size = 0.60 \begin {gather*} \frac {4}{5} \, x e^{\frac {3}{16}} + \frac {84}{5} \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.24, size = 7, normalized size = 0.47 \begin {gather*} \frac {4}{5} \, x {\left (e^{\frac {3}{16}} + 21\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 9, normalized size = 0.60
method | result | size |
default | \(\left (\frac {4 \,{\mathrm e}^{\frac {3}{16}}}{5}+\frac {84}{5}\right ) x\) | \(9\) |
norman | \(\left (\frac {4 \,{\mathrm e}^{\frac {3}{16}}}{5}+\frac {84}{5}\right ) x\) | \(9\) |
risch | \(\frac {4 \,{\mathrm e}^{\frac {3}{16}} x}{5}+\frac {84 x}{5}\) | \(10\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.36, size = 7, normalized size = 0.47 \begin {gather*} \frac {4}{5} \, x {\left (e^{\frac {3}{16}} + 21\right )} \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 = 0.53 \begin {gather*} x\,\left (\frac {4\,{\mathrm {e}}^{3/16}}{5}+\frac {84}{5}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 12, normalized size = 0.80 \begin {gather*} x \left (\frac {4 e^{\frac {3}{16}}}{5} + \frac {84}{5}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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