Optimal. Leaf size=7 \[ \frac{x}{\sqrt{a}} \]
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Rubi [A] time = 0.000861, antiderivative size = 7, normalized size of antiderivative = 1., number of steps used = 2, number of rules used = 2, integrand size = 20, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.1, Rules used = {2, 8} \[ \frac{x}{\sqrt{a}} \]
Antiderivative was successfully verified.
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Rule 2
Rule 8
Rubi steps
\begin{align*} \int \frac{1}{\sqrt{a+(2+2 c-2 (1+c)) x^4}} \, dx &=\int \frac{1}{\sqrt{a}} \, dx\\ &=\frac{x}{\sqrt{a}}\\ \end{align*}
Mathematica [A] time = 0.0003813, size = 7, normalized size = 1. \[ \frac{x}{\sqrt{a}} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.039, size = 6, normalized size = 0.9 \begin{align*}{x{\frac{1}{\sqrt{a}}}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0.949851, size = 7, normalized size = 1. \begin{align*} \frac{x}{\sqrt{a}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.18099, size = 15, normalized size = 2.14 \begin{align*} \frac{x}{\sqrt{a}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.049509, size = 5, normalized size = 0.71 \begin{align*} \frac{x}{\sqrt{a}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.15081, size = 7, normalized size = 1. \begin{align*} \frac{x}{\sqrt{a}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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