Optimal. Leaf size=29 \[ \frac {1}{e}-x-\left (5-x^2+x (x+5 (1+2 x))\right )^2 \]
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Rubi [A] time = 0.00, antiderivative size = 19, normalized size of antiderivative = 0.66, number of steps used = 1, number of rules used = 0, integrand size = 15, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \begin {gather*} -100 x^4-100 x^3-125 x^2-51 x \end {gather*}
Antiderivative was successfully verified.
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Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-51 x-125 x^2-100 x^3-100 x^4\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 19, normalized size = 0.66 \begin {gather*} -51 x-125 x^2-100 x^3-100 x^4 \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.47, size = 19, normalized size = 0.66 \begin {gather*} -100 \, x^{4} - 100 \, x^{3} - 125 \, x^{2} - 51 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.15, size = 19, normalized size = 0.66 \begin {gather*} -100 \, x^{4} - 100 \, x^{3} - 125 \, x^{2} - 51 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 19, normalized size = 0.66
method | result | size |
gosper | \(-x \left (100 x^{3}+100 x^{2}+125 x +51\right )\) | \(19\) |
default | \(-100 x^{4}-100 x^{3}-125 x^{2}-51 x\) | \(20\) |
norman | \(-100 x^{4}-100 x^{3}-125 x^{2}-51 x\) | \(20\) |
risch | \(-100 x^{4}-100 x^{3}-125 x^{2}-51 x\) | \(20\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.34, size = 19, normalized size = 0.66 \begin {gather*} -100 \, x^{4} - 100 \, x^{3} - 125 \, x^{2} - 51 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.03, size = 19, normalized size = 0.66 \begin {gather*} -100\,x^4-100\,x^3-125\,x^2-51\,x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 19, normalized size = 0.66 \begin {gather*} - 100 x^{4} - 100 x^{3} - 125 x^{2} - 51 x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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