Optimal. Leaf size=28 \[ 5 \left (e^x+\frac {e^5}{\left (i \pi +\log \left (-4+\frac {e^{10}}{16}\right )\right )^2}\right ) \]
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Rubi [A]
time = 0.00, antiderivative size = 5, normalized size of antiderivative = 0.18, number of steps
used = 2, number of rules used = 2, integrand size = 5, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.400, Rules used = {12, 2225}
\begin {gather*} 5 e^x \end {gather*}
Antiderivative was successfully verified.
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Rule 12
Rule 2225
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=5 \int e^x \, dx\\ &=5 e^x\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.00, size = 5, normalized size = 0.18 \begin {gather*} 5 e^x \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.14, size = 5, normalized size = 0.18
method | result | size |
gosper | \(5 \,{\mathrm e}^{x}\) | \(5\) |
derivativedivides | \(5 \,{\mathrm e}^{x}\) | \(5\) |
default | \(5 \,{\mathrm e}^{x}\) | \(5\) |
norman | \(5 \,{\mathrm e}^{x}\) | \(5\) |
risch | \(5 \,{\mathrm e}^{x}\) | \(5\) |
meijerg | \(5 \,{\mathrm e}^{x}-5\) | \(7\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.29, size = 4, normalized size = 0.14 \begin {gather*} 5 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.40, size = 4, normalized size = 0.14 \begin {gather*} 5 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.02, size = 3, normalized size = 0.11 \begin {gather*} 5 e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.41, size = 4, normalized size = 0.14 \begin {gather*} 5 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 0.01, size = 4, normalized size = 0.14 \begin {gather*} 5\,{\mathrm {e}}^x \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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