Optimal. Leaf size=15 \[ -159-e^{5+x}-\log ^2(x) \]
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Rubi [A]
time = 0.01, antiderivative size = 14, normalized size of antiderivative = 0.93, number of steps
used = 4, number of rules used = 3, integrand size = 17, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.176, Rules used = {14, 2225, 2338}
\begin {gather*} -e^{x+5}-\log ^2(x) \end {gather*}
Antiderivative was successfully verified.
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Rule 14
Rule 2225
Rule 2338
Rubi steps
\begin {gather*} \begin {aligned} \text {integral} &=\int \left (-e^{5+x}-\frac {2 \log (x)}{x}\right ) \, dx\\ &=-\left (2 \int \frac {\log (x)}{x} \, dx\right )-\int e^{5+x} \, dx\\ &=-e^{5+x}-\log ^2(x)\\ \end {aligned} \end {gather*}
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Mathematica [A]
time = 0.02, size = 14, normalized size = 0.93 \begin {gather*} -e^{5+x}-\log ^2(x) \end {gather*}
Antiderivative was successfully verified.
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Maple [A]
time = 0.14, size = 14, normalized size = 0.93
method | result | size |
default | \(-\ln \left (x \right )^{2}-{\mathrm e}^{5+x}\) | \(14\) |
norman | \(-\ln \left (x \right )^{2}-{\mathrm e}^{5+x}\) | \(14\) |
risch | \(-\ln \left (x \right )^{2}-{\mathrm e}^{5+x}\) | \(14\) |
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A]
time = 0.29, size = 13, normalized size = 0.87 \begin {gather*} -\log \left (x\right )^{2} - e^{\left (x + 5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A]
time = 0.38, size = 13, normalized size = 0.87 \begin {gather*} -\log \left (x\right )^{2} - e^{\left (x + 5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A]
time = 0.06, size = 10, normalized size = 0.67 \begin {gather*} - e^{x + 5} - \log {\left (x \right )}^{2} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A]
time = 0.44, size = 13, normalized size = 0.87 \begin {gather*} -\log \left (x\right )^{2} - e^{\left (x + 5\right )} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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Mupad [B]
time = 4.98, size = 13, normalized size = 0.87 \begin {gather*} -{\ln \left (x\right )}^2-{\mathrm {e}}^{x+5} \end {gather*}
Verification of antiderivative is not currently implemented for this CAS.
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