Optimal. Leaf size=18 \[ \text{Unintegrable}\left (\frac{\text{FresnelC}(a+b x)^2}{c+d x},x\right ) \]
[Out]
________________________________________________________________________________________
Rubi [A] time = 0.023169, 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 = {} \[ \int \frac{\text{FresnelC}(a+b x)^2}{c+d x} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
Rubi steps
\begin{align*} \int \frac{C(a+b x)^2}{c+d x} \, dx &=\int \frac{C(a+b x)^2}{c+d x} \, dx\\ \end{align*}
Mathematica [A] time = 0.0351198, size = 0, normalized size = 0. \[ \int \frac{\text{FresnelC}(a+b x)^2}{c+d x} \, dx \]
Verification is Not applicable to the result.
[In]
[Out]
________________________________________________________________________________________
Maple [A] time = 0.357, size = 0, normalized size = 0. \begin{align*} \int{\frac{ \left ({\it FresnelC} \left ( bx+a \right ) \right ) ^{2}}{dx+c}}\, 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{{\rm fresnelc}\left (b x + a\right )^{2}}{d x + c}\,{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{{\rm fresnelc}\left (b x + a\right )^{2}}{d x + c}, 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{C^{2}\left (a + b x\right )}{c + d x}\, 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{{\rm fresnelc}\left (b x + a\right )^{2}}{d x + c}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
[In]
[Out]