Optimal. Leaf size=22 \[ \text{Unintegrable}\left (\frac{\sin \left (a+b (c+d x)^2\right )}{e+f x},x\right ) \]
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Rubi [A] time = 0.0126257, 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 = {} \[ \int \frac{\sin \left (a+b (c+d x)^2\right )}{e+f x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{\sin \left (a+b (c+d x)^2\right )}{e+f x} \, dx &=\int \frac{\sin \left (a+b (c+d x)^2\right )}{e+f x} \, dx\\ \end{align*}
Mathematica [A] time = 15.2501, size = 0, normalized size = 0. \[ \int \frac{\sin \left (a+b (c+d x)^2\right )}{e+f x} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.105, size = 0, normalized size = 0. \begin{align*} \int{\frac{\sin \left ( a+ \left ( dx+c \right ) ^{2}b \right ) }{fx+e}}\, 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 ({\left (d x + c\right )}^{2} b + a\right )}{f x + e}\,{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 (b d^{2} x^{2} + 2 \, b c d x + b c^{2} + a\right )}{f x + e}, 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 (a + b c^{2} + 2 b c d x + b d^{2} x^{2} \right )}}{e + f 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 ({\left (d x + c\right )}^{2} b + a\right )}{f x + e}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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