Integrand size = 13, antiderivative size = 13 \[ \int \frac {\sin \left (\frac {1}{4}+x+x^2\right )}{x} \, dx=\text {Int}\left (\frac {\sin \left (\frac {1}{4}+x+x^2\right )}{x},x\right ) \]
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Not integrable
Time = 0.01 (sec) , antiderivative size = 13, normalized size of antiderivative = 1.00, number of steps used = 0, number of rules used = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int \frac {\sin \left (\frac {1}{4}+x+x^2\right )}{x} \, dx=\int \frac {\sin \left (\frac {1}{4}+x+x^2\right )}{x} \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int \frac {\sin \left (\frac {1}{4}+x+x^2\right )}{x} \, dx \\ \end{align*}
Not integrable
Time = 12.89 (sec) , antiderivative size = 15, normalized size of antiderivative = 1.15 \[ \int \frac {\sin \left (\frac {1}{4}+x+x^2\right )}{x} \, dx=\int \frac {\sin \left (\frac {1}{4}+x+x^2\right )}{x} \, dx \]
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Not integrable
Time = 0.08 (sec) , antiderivative size = 11, normalized size of antiderivative = 0.85
\[\int \frac {\sin \left (\frac {1}{4}+x +x^{2}\right )}{x}d x\]
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Not integrable
Time = 0.28 (sec) , antiderivative size = 13, normalized size of antiderivative = 1.00 \[ \int \frac {\sin \left (\frac {1}{4}+x+x^2\right )}{x} \, dx=\int { \frac {\sin \left (x^{2} + x + \frac {1}{4}\right )}{x} \,d x } \]
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Not integrable
Time = 0.33 (sec) , antiderivative size = 12, normalized size of antiderivative = 0.92 \[ \int \frac {\sin \left (\frac {1}{4}+x+x^2\right )}{x} \, dx=\int \frac {\sin {\left (x^{2} + x + \frac {1}{4} \right )}}{x}\, dx \]
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Not integrable
Time = 0.32 (sec) , antiderivative size = 13, normalized size of antiderivative = 1.00 \[ \int \frac {\sin \left (\frac {1}{4}+x+x^2\right )}{x} \, dx=\int { \frac {\sin \left (x^{2} + x + \frac {1}{4}\right )}{x} \,d x } \]
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Not integrable
Time = 0.32 (sec) , antiderivative size = 13, normalized size of antiderivative = 1.00 \[ \int \frac {\sin \left (\frac {1}{4}+x+x^2\right )}{x} \, dx=\int { \frac {\sin \left (x^{2} + x + \frac {1}{4}\right )}{x} \,d x } \]
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Not integrable
Time = 5.69 (sec) , antiderivative size = 13, normalized size of antiderivative = 1.00 \[ \int \frac {\sin \left (\frac {1}{4}+x+x^2\right )}{x} \, dx=\int \frac {\sin \left (x^2+x+\frac {1}{4}\right )}{x} \,d x \]
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