Optimal. Leaf size=15 \[ \text{Unintegrable}\left (\frac{\sin \left (x^2+x+\frac{1}{4}\right )}{x},x\right ) \]
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Rubi [A] time = 0.0080294, antiderivative size = 0, normalized size of antiderivative = 0., number of steps used = 0, number of rules used = 0, integrand size = 0, \(\frac{\text{number of rules}}{\text{integrand size}}\) = 0., Rules used = {} \[ \int \frac{\sin \left (\frac{1}{4}+x+x^2\right )}{x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{\sin \left (\frac{1}{4}+x+x^2\right )}{x} \, dx &=\int \frac{\sin \left (\frac{1}{4}+x+x^2\right )}{x} \, dx\\ \end{align*}
Mathematica [A] time = 14.4811, size = 0, normalized size = 0. \[ \int \frac{\sin \left (\frac{1}{4}+x+x^2\right )}{x} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.063, size = 0, normalized size = 0. \begin{align*} \int{\frac{1}{x}\sin \left ({\frac{1}{4}}+x+{x}^{2} \right ) }\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\sin \left (x^{2} + x + \frac{1}{4}\right )}{x}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Fricas [A] time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (\frac{\sin \left (x^{2} + x + \frac{1}{4}\right )}{x}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\sin{\left (x^{2} + x + \frac{1}{4} \right )}}{x}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\sin \left (x^{2} + x + \frac{1}{4}\right )}{x}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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