Optimal. Leaf size=12 \[ \text{CannotIntegrate}\left (x^m \text{CosIntegral}(b x)^2,x\right ) \]
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Rubi [A] time = 0.0329213, 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 = {} \[ \int x^m \text{CosIntegral}(b x)^2 \, dx \]
Verification is Not applicable to the result.
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Rubi steps
\begin{align*} \int x^m \text{Ci}(b x)^2 \, dx &=\int x^m \text{Ci}(b x)^2 \, dx\\ \end{align*}
Mathematica [A] time = 2.70721, size = 0, normalized size = 0. \[ \int x^m \text{CosIntegral}(b x)^2 \, dx \]
Verification is Not applicable to the result.
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Maple [A] time = 0.056, size = 0, normalized size = 0. \begin{align*} \int{x}^{m} \left ({\it Ci} \left ( bx \right ) \right ) ^{2}\, 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 x^{m}{\rm Ci}\left (b x\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 (x^{m} \operatorname{Ci}\left (b x\right )^{2}, x\right ) \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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Sympy [A] time = 0., size = 0, normalized size = 0. \begin{align*} \int x^{m} \operatorname{Ci}^{2}{\left (b x \right )}\, dx \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 x^{m}{\rm Ci}\left (b x\right )^{2}\,{d x} \end{align*}
Verification of antiderivative is not currently implemented for this CAS.
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