Optimal. Leaf size=2 \[ \sec (x) \]
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Rubi [A] time = 0.0065987, antiderivative size = 2, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 5, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.4, Rules used = {2606, 8} \[ \sec (x) \]
Antiderivative was successfully verified.
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Rule 2606
Rule 8
Rubi steps
\begin{align*} \int \sec (x) \tan (x) \, dx &=\operatorname{Subst}(\int 1 \, dx,x,\sec (x))\\ &=\sec (x)\\ \end{align*}
Mathematica [A] time = 0.0012405, size = 2, normalized size = 1. \[ \sec (x) \]
Antiderivative was successfully verified.
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Maple [A] time = 0.006, size = 3, normalized size = 1.5 \begin{align*} \sec \left ( x \right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.927725, size = 5, normalized size = 2.5 \begin{align*} \frac{1}{\cos \left (x\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.85484, size = 14, normalized size = 7. \begin{align*} \frac{1}{\cos \left (x\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.061392, size = 3, normalized size = 1.5 \begin{align*} \frac{1}{\cos{\left (x \right )}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.06429, size = 5, normalized size = 2.5 \begin{align*} \frac{1}{\cos \left (x\right )} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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