Optimal. Leaf size=14 \[ 3+2 e^x+(1+2 x)^x \]
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Rubi [F]
time = 180.01, antiderivative size = 0, normalized size of antiderivative = 0.00, number of steps
used = 0, number of rules used = 0, integrand size = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {}
\begin {gather*} \text {\$Aborted} \end {gather*}
Verification is not applicable to the result.
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Rubi steps
Aborted
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Mathematica [A]
time = 0.06, size = 13, normalized size = 0.93 \begin {gather*} 2 e^x+(1+2 x)^x \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.22, size = 15, normalized size = 1.07
method | result | size |
risch | \(\left (2 x +1\right )^{x}+2 \,{\mathrm e}^{x}\) | \(13\) |
default | \({\mathrm e}^{x \ln \left (2 x +1\right )}+2 \,{\mathrm e}^{x}\) | \(15\) |
norman | \({\mathrm e}^{x \ln \left (2 x +1\right )}+2 \,{\mathrm e}^{x}\) | \(15\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.29, size = 12, normalized size = 0.86 \begin {gather*} {\left (2 \, x + 1\right )}^{x} + 2 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.37, size = 12, normalized size = 0.86 \begin {gather*} {\left (2 \, x + 1\right )}^{x} + 2 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.16, size = 14, normalized size = 1.00 \begin {gather*} 2 e^{x} + e^{x \log {\left (2 x + 1 \right )}} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.42, size = 12, normalized size = 0.86 \begin {gather*} {\left (2 \, x + 1\right )}^{x} + 2 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.27, size = 12, normalized size = 0.86 \begin {gather*} 2\,{\mathrm {e}}^x+{\left (2\,x+1\right )}^x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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