Optimal. Leaf size=17 \[ \text{CannotIntegrate}\left (\frac{\tan ^{-1}(d \tan (a+b x)+c)}{x},x\right ) \]
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Rubi [A] time = 0.131617, 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 = {} \[ \int \frac{\tan ^{-1}(c+d \tan (a+b x))}{x} \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int \frac{\tan ^{-1}(c+d \tan (a+b x))}{x} \, dx &=\int \frac{\tan ^{-1}(c+d \tan (a+b x))}{x} \, dx\\ \end{align*}
Mathematica [A] time = 4.66561, size = 0, normalized size = 0. \[ \int \frac{\tan ^{-1}(c+d \tan (a+b x))}{x} \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.354, size = 0, normalized size = 0. \begin{align*} \int{\frac{\arctan \left ( c+d\tan \left ( bx+a \right ) \right ) }{x}}\, dx \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Maxima [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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Fricas [A] time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (\frac{\arctan \left (d \tan \left (b x + a\right ) + c\right )}{x}, 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{\arctan \left (d \tan \left (b x + a\right ) + c\right )}{x}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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