Optimal. Leaf size=8 \[ \frac{\text{Si}\left (x^5\right )}{5} \]
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Rubi [A] time = 0.0065648, antiderivative size = 8, normalized size of antiderivative = 1., number of steps used = 1, number of rules used = 1, integrand size = 8, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0.125, Rules used = {3375} \[ \frac{\text{Si}\left (x^5\right )}{5} \]
Antiderivative was successfully verified.
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Rule 3375
Rubi steps
\begin{align*} \int \frac{\sin \left (x^5\right )}{x} \, dx &=\frac{\text{Si}\left (x^5\right )}{5}\\ \end{align*}
Mathematica [A] time = 0.0019638, size = 8, normalized size = 1. \[ \frac{\text{Si}\left (x^5\right )}{5} \]
Antiderivative was successfully verified.
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Maple [A] time = 0.005, size = 7, normalized size = 0.9 \begin{align*}{\frac{{\it Si} \left ({x}^{5} \right ) }{5}} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [C] time = 1.08548, size = 23, normalized size = 2.88 \begin{align*} -\frac{1}{10} i \,{\rm Ei}\left (i \, x^{5}\right ) + \frac{1}{10} i \,{\rm Ei}\left (-i \, x^{5}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 1.98848, size = 31, normalized size = 3.88 \begin{align*} \frac{1}{5} \, \operatorname{Si}\left (x^{5}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0.571996, size = 5, normalized size = 0.62 \begin{align*} \frac{\operatorname{Si}{\left (x^{5} \right )}}{5} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 1.10321, size = 8, normalized size = 1. \begin{align*} \frac{1}{5} \, \operatorname{Si}\left (x^{5}\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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