Optimal. Leaf size=4 \[ \log (t+1) \]
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Rubi [A] time = 0.0004936, antiderivative size = 4, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 5, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.2, Rules used = {31} \[ \log (t+1) \]
Antiderivative was successfully verified.
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Rule 31
Rubi steps
\begin{align*} \int \frac{1}{1+t} \, dt &=\log (1+t)\\ \end{align*}
Mathematica [A] time = 0.0005086, size = 4, normalized size = 1. \[ \log (t+1) \]
Antiderivative was successfully verified.
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Maple [A] time = 0., size = 5, normalized size = 1.3 \begin{align*} \ln \left ( 1+t \right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.9472, size = 5, normalized size = 1.25 \begin{align*} \log \left (t + 1\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0.479768, size = 16, normalized size = 4. \begin{align*} \log \left (t + 1\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.054785, size = 3, normalized size = 0.75 \begin{align*} \log{\left (t + 1 \right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.10235, size = 7, normalized size = 1.75 \begin{align*} \log \left ({\left | t + 1 \right |}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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