3.83 \(\int \frac{\text{Chi}(b x)^2}{x^2} \, dx\)

Optimal. Leaf size=12 \[ \text{CannotIntegrate}\left (\frac{\text{Chi}(b x)^2}{x^2},x\right ) \]

[Out]

CannotIntegrate[CoshIntegral[b*x]^2/x^2, x]

________________________________________________________________________________________

Rubi [A]  time = 0.0255746, 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 = {} \[ \int \frac{\text{Chi}(b x)^2}{x^2} \, dx \]

Verification is Not applicable to the result.

[In]

Int[CoshIntegral[b*x]^2/x^2,x]

[Out]

Defer[Int][CoshIntegral[b*x]^2/x^2, x]

Rubi steps

\begin{align*} \int \frac{\text{Chi}(b x)^2}{x^2} \, dx &=\int \frac{\text{Chi}(b x)^2}{x^2} \, dx\\ \end{align*}

Mathematica [A]  time = 0.16787, size = 0, normalized size = 0. \[ \int \frac{\text{Chi}(b x)^2}{x^2} \, dx \]

Verification is Not applicable to the result.

[In]

Integrate[CoshIntegral[b*x]^2/x^2,x]

[Out]

Integrate[CoshIntegral[b*x]^2/x^2, x]

________________________________________________________________________________________

Maple [A]  time = 0.052, size = 0, normalized size = 0. \begin{align*} \int{\frac{ \left ({\it Chi} \left ( bx \right ) \right ) ^{2}}{{x}^{2}}}\, dx \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(Chi(b*x)^2/x^2,x)

[Out]

int(Chi(b*x)^2/x^2,x)

________________________________________________________________________________________

Maxima [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{{\rm Chi}\left (b x\right )^{2}}{x^{2}}\,{d x} \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(Chi(b*x)^2/x^2,x, algorithm="maxima")

[Out]

integrate(Chi(b*x)^2/x^2, x)

________________________________________________________________________________________

Fricas [A]  time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (\frac{\operatorname{Chi}\left (b x\right )^{2}}{x^{2}}, x\right ) \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(Chi(b*x)^2/x^2,x, algorithm="fricas")

[Out]

integral(cosh_integral(b*x)^2/x^2, x)

________________________________________________________________________________________

Sympy [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\operatorname{Chi}^{2}\left (b x\right )}{x^{2}}\, dx \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(Chi(b*x)**2/x**2,x)

[Out]

Integral(Chi(b*x)**2/x**2, x)

________________________________________________________________________________________

Giac [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{{\rm Chi}\left (b x\right )^{2}}{x^{2}}\,{d x} \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(Chi(b*x)^2/x^2,x, algorithm="giac")

[Out]

integrate(Chi(b*x)^2/x^2, x)