Optimal. Leaf size=24 \[ \text{Unintegrable}\left (\frac{\sin \left (a+b (c+d x)^{2/3}\right )}{(e+f x)^2},x\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.01335, 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 = {} \[ \int \frac{\sin \left (a+b (c+d x)^{2/3}\right )}{(e+f x)^2} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
Rubi steps
\begin{align*} \int \frac{\sin \left (a+b (c+d x)^{2/3}\right )}{(e+f x)^2} \, dx &=\int \frac{\sin \left (a+b (c+d x)^{2/3}\right )}{(e+f x)^2} \, dx\\ \end{align*}
Mathematica [A] time = 20.7271, size = 0, normalized size = 0. \[ \int \frac{\sin \left (a+b (c+d x)^{2/3}\right )}{(e+f x)^2} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.036, size = 0, normalized size = 0. \begin{align*} \int{\frac{1}{ \left ( fx+e \right ) ^{2}}\sin \left ( a+b \left ( dx+c \right ) ^{{\frac{2}{3}}} \right ) }\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Maxima [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\sin \left ({\left (d x + c\right )}^{\frac{2}{3}} b + a\right )}{{\left (f x + e\right )}^{2}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Fricas [A] time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (\frac{\sin \left ({\left (d x + c\right )}^{\frac{2}{3}} b + a\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.
[In]
[Out]
________________________________________________________________________________________
Sympy [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\sin{\left (a + b \left (c + d x\right )^{\frac{2}{3}} \right )}}{\left (e + f x\right )^{2}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]
________________________________________________________________________________________
Giac [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\sin \left ({\left (d x + c\right )}^{\frac{2}{3}} b + a\right )}{{\left (f x + e\right )}^{2}}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]