Optimal. Leaf size=20 \[ \text{Unintegrable}\left (\frac{\sin \left (\frac{b}{(c+d x)^2}\right )}{(e+f x)^2},x\right ) \]
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Rubi [A] time = 0.0122059, 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 = {} \[ \int \frac{\sin \left (\frac{b}{(c+d x)^2}\right )}{(e+f x)^2} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{\sin \left (\frac{b}{(c+d x)^2}\right )}{(e+f x)^2} \, dx &=\int \frac{\sin \left (\frac{b}{(c+d x)^2}\right )}{(e+f x)^2} \, dx\\ \end{align*}
Mathematica [A] time = 18.378, size = 0, normalized size = 0. \[ \int \frac{\sin \left (\frac{b}{(c+d x)^2}\right )}{(e+f x)^2} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.425, size = 0, normalized size = 0. \begin{align*} \int{\frac{1}{ \left ( fx+e \right ) ^{2}}\sin \left ({\frac{b}{ \left ( dx+c \right ) ^{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 (\frac{b}{{\left (d x + c\right )}^{2}}\right )}{{\left (f x + e\right )}^{2}}\,{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{b}{d^{2} x^{2} + 2 \, c d x + c^{2}}\right )}{f^{2} x^{2} + 2 \, e f x + e^{2}}, 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 (\frac{b}{{\left (d x + c\right )}^{2}}\right )}{{\left (f x + e\right )}^{2}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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