Optimal. Leaf size=14 \[ 25 (2-x)-2 e^2 x \]
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Rubi [A] time = 0.00, antiderivative size = 10, normalized size of antiderivative = 0.71, number of steps used = 1, number of rules used = 1, integrand size = 7, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {8} \begin {gather*} -\left (\left (25+2 e^2\right ) x\right ) \end {gather*}
Antiderivative was successfully verified.
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Rule 8
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=-\left (\left (25+2 e^2\right ) x\right )\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 10, normalized size = 0.71 \begin {gather*} -25 x-2 e^2 x \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.81, size = 9, normalized size = 0.64 \begin {gather*} -2 \, x e^{2} - 25 \, x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.23, size = 9, normalized size = 0.64 \begin {gather*} -x {\left (2 \, e^{2} + 25\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.01, size = 10, normalized size = 0.71
method | result | size |
risch | \(-2 \,{\mathrm e}^{2} x -25 x\) | \(10\) |
default | \(\left (-2 \,{\mathrm e}^{2}-25\right ) x\) | \(11\) |
norman | \(\left (-2 \,{\mathrm e}^{2}-25\right ) x\) | \(11\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.34, size = 9, normalized size = 0.64 \begin {gather*} -x {\left (2 \, e^{2} + 25\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.00, size = 9, normalized size = 0.64 \begin {gather*} -x\,\left (2\,{\mathrm {e}}^2+25\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.05, size = 8, normalized size = 0.57 \begin {gather*} x \left (-25 - 2 e^{2}\right ) \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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