Optimal. Leaf size=14 \[ -\frac {17}{6}+32 e^x+\frac {5}{x} \]
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Rubi [A] time = 0.01, antiderivative size = 11, normalized size of antiderivative = 0.79, number of steps used = 3, number of rules used = 2, integrand size = 14, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.143, Rules used = {14, 2194} \begin {gather*} 32 e^x+\frac {5}{x} \end {gather*}
Antiderivative was successfully verified.
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Rule 14
Rule 2194
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (32 e^x-\frac {5}{x^2}\right ) \, dx\\ &=\frac {5}{x}+32 \int e^x \, dx\\ &=32 e^x+\frac {5}{x}\\ \end {aligned} \end {gather*}
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Mathematica [A] time = 0.00, size = 11, normalized size = 0.79 \begin {gather*} 32 e^x+\frac {5}{x} \end {gather*}
Antiderivative was successfully verified.
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fricas [A] time = 0.77, size = 15, normalized size = 1.07 \begin {gather*} \frac {x e^{\left (x + 5 \, \log \relax (2)\right )} + 5}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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giac [A] time = 0.14, size = 11, normalized size = 0.79 \begin {gather*} \frac {32 \, x e^{x} + 5}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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maple [A] time = 0.10, size = 11, normalized size = 0.79
method | result | size |
risch | \(32 \,{\mathrm e}^{x}+\frac {5}{x}\) | \(11\) |
derivativedivides | \({\mathrm e}^{5 \ln \relax (2)+x}+\frac {5}{x}\) | \(14\) |
default | \({\mathrm e}^{5 \ln \relax (2)+x}+\frac {5}{x}\) | \(14\) |
norman | \(\frac {5+x \,{\mathrm e}^{5 \ln \relax (2)+x}}{x}\) | \(16\) |
Verification of antiderivative is not currently implemented for this CAS.
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maxima [A] time = 0.47, size = 10, normalized size = 0.71 \begin {gather*} \frac {5}{x} + 32 \, e^{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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mupad [B] time = 0.05, size = 10, normalized size = 0.71 \begin {gather*} 32\,{\mathrm {e}}^x+\frac {5}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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sympy [A] time = 0.08, size = 7, normalized size = 0.50 \begin {gather*} 32 e^{x} + \frac {5}{x} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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