Optimal. Leaf size=22 \[ \text{Unintegrable}\left (\frac{\sin \left (a+\frac{b}{(c+d x)^3}\right )}{e+f x},x\right ) \]
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Rubi [A] time = 0.0132455, 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 = {} \[ \int \frac{\sin \left (a+\frac{b}{(c+d x)^3}\right )}{e+f x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{\sin \left (a+\frac{b}{(c+d x)^3}\right )}{e+f x} \, dx &=\int \frac{\sin \left (a+\frac{b}{(c+d x)^3}\right )}{e+f x} \, dx\\ \end{align*}
Mathematica [A] time = 5.15019, size = 0, normalized size = 0. \[ \int \frac{\sin \left (a+\frac{b}{(c+d x)^3}\right )}{e+f x} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.273, size = 0, normalized size = 0. \begin{align*} \int{\frac{1}{fx+e}\sin \left ( a+{\frac{b}{ \left ( dx+c \right ) ^{3}}} \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 (a + \frac{b}{{\left (d x + c\right )}^{3}}\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 (\frac{a d^{3} x^{3} + 3 \, a c d^{2} x^{2} + 3 \, a c^{2} d x + a c^{3} + b}{d^{3} x^{3} + 3 \, c d^{2} x^{2} + 3 \, c^{2} d x + c^{3}}\right )}{f x + e}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [F(-1)] time = 0., size = 0, normalized size = 0. \begin{align*} \text{Timed out} \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 (a + \frac{b}{{\left (d x + c\right )}^{3}}\right )}{f x + e}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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