Optimal. Leaf size=24 \[ 3+e^4-x+e^{e^4} x-4 x^2-\log (4) \]
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Rubi [A]
time = 0.01, antiderivative size = 18, normalized size of antiderivative = 0.75, number of steps
used = 1, number of rules used = 0, integrand size = 10, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {}
\begin {gather*} -4 x^2-\left (1-e^{e^4}\right ) x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\left (\left (1-e^{e^4}\right ) x\right )-4 x^2\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 16, normalized size = 0.67 \begin {gather*} -x+e^{e^4} x-4 x^2 \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.10, size = 15, normalized size = 0.62
method | result | size |
norman | \(-4 x^{2}+\left ({\mathrm e}^{{\mathrm e}^{4}}-1\right ) x\) | \(14\) |
gosper | \(x \,{\mathrm e}^{{\mathrm e}^{4}}-4 x^{2}-x\) | \(15\) |
default | \(x \,{\mathrm e}^{{\mathrm e}^{4}}-4 x^{2}-x\) | \(15\) |
risch | \(x \,{\mathrm e}^{{\mathrm e}^{4}}-4 x^{2}-x\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.26, size = 14, normalized size = 0.58 \begin {gather*} -4 \, x^{2} + x e^{\left (e^{4}\right )} - x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.41, size = 14, normalized size = 0.58 \begin {gather*} -4 \, x^{2} + x e^{\left (e^{4}\right )} - x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.01, size = 12, normalized size = 0.50 \begin {gather*} - 4 x^{2} + x \left (-1 + e^{e^{4}}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 14, normalized size = 0.58 \begin {gather*} -4 \, x^{2} + x e^{\left (e^{4}\right )} - x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.04, size = 13, normalized size = 0.54 \begin {gather*} x\,\left ({\mathrm {e}}^{{\mathrm {e}}^4}-1\right )-4\,x^2 \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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