Optimal. Leaf size=17 \[ (-5+x) \left (2+e^3-x+9 x^4\right ) \]
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Rubi [A] time = 0.01, antiderivative size = 23, normalized size of antiderivative = 1.35, number of steps used = 1, number of rules used = 0, integrand size = 18, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} 9 x^5-45 x^4-x^2+\left (7+e^3\right ) x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\left (7+e^3\right ) x-x^2-45 x^4+9 x^5\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 24, normalized size = 1.41 \begin {gather*} 7 x+e^3 x-x^2-45 x^4+9 x^5 \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.48, size = 23, normalized size = 1.35 \begin {gather*} 9 \, x^{5} - 45 \, x^{4} - x^{2} + x e^{3} + 7 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.26, size = 23, normalized size = 1.35 \begin {gather*} 9 \, x^{5} - 45 \, x^{4} - x^{2} + x e^{3} + 7 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.02, size = 23, normalized size = 1.35
method | result | size |
norman | \(9 x^{5}-45 x^{4}-x^{2}+\left (7+{\mathrm e}^{3}\right ) x\) | \(23\) |
gosper | \(9 x^{5}-45 x^{4}+x \,{\mathrm e}^{3}-x^{2}+7 x\) | \(24\) |
default | \(9 x^{5}-45 x^{4}+x \,{\mathrm e}^{3}-x^{2}+7 x\) | \(24\) |
risch | \(9 x^{5}-45 x^{4}+x \,{\mathrm e}^{3}-x^{2}+7 x\) | \(24\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.42, size = 23, normalized size = 1.35 \begin {gather*} 9 \, x^{5} - 45 \, x^{4} - x^{2} + x e^{3} + 7 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.04, size = 22, normalized size = 1.29 \begin {gather*} 9\,x^5-45\,x^4-x^2+\left ({\mathrm {e}}^3+7\right )\,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.06, size = 19, normalized size = 1.12 \begin {gather*} 9 x^{5} - 45 x^{4} - x^{2} + x \left (7 + e^{3}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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