Optimal. Leaf size=15 \[ e^{3 (1+\log (x))}-x (7+x) \]
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Rubi [A]
time = 0.01, antiderivative size = 16, normalized size of antiderivative = 1.07, number of steps
used = 2, number of rules used = 1, integrand size = 21, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.048, Rules used = {14}
\begin {gather*} e^3 x^3-x^2-7 x \end {gather*}
Antiderivative was successfully verified.
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Rule 14
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (-7-2 x+3 e^3 x^2\right ) \, dx\\ &=-7 x-x^2+e^3 x^3\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 16, normalized size = 1.07 \begin {gather*} -7 x-x^2+e^3 x^3 \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.18, size = 17, normalized size = 1.13
method | result | size |
norman | \(x^{3} {\mathrm e}^{3}-7 x -x^{2}\) | \(16\) |
risch | \(x^{3} {\mathrm e}^{3}-7 x -x^{2}\) | \(16\) |
default | \(-x^{2}-7 x +{\mathrm e}^{3 \ln \left (x \right )+3}\) | \(17\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.27, size = 15, normalized size = 1.00 \begin {gather*} x^{3} e^{3} - x^{2} - 7 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.41, size = 15, normalized size = 1.00 \begin {gather*} x^{3} e^{3} - x^{2} - 7 \, 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 = 0.80 \begin {gather*} x^{3} e^{3} - x^{2} - 7 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.39, size = 15, normalized size = 1.00 \begin {gather*} x^{3} e^{3} - x^{2} - 7 \, 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 = 0.87 \begin {gather*} -x\,\left (-{\mathrm {e}}^3\,x^2+x+7\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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