3.99 \(\int \frac{\text{Chi}(a+b x)^2}{x^3} \, dx\)

Optimal. Leaf size=14 \[ \text{CannotIntegrate}\left (\frac{\text{Chi}(a+b x)^2}{x^3},x\right ) \]

[Out]

CannotIntegrate[CoshIntegral[a + b*x]^2/x^3, x]

________________________________________________________________________________________

Rubi [A]  time = 0.0347798, 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 = {} \[ \int \frac{\text{Chi}(a+b x)^2}{x^3} \, dx \]

Verification is Not applicable to the result.

[In]

Int[CoshIntegral[a + b*x]^2/x^3,x]

[Out]

Defer[Int][CoshIntegral[a + b*x]^2/x^3, x]

Rubi steps

\begin{align*} \int \frac{\text{Chi}(a+b x)^2}{x^3} \, dx &=\int \frac{\text{Chi}(a+b x)^2}{x^3} \, dx\\ \end{align*}

Mathematica [A]  time = 1.43761, size = 0, normalized size = 0. \[ \int \frac{\text{Chi}(a+b x)^2}{x^3} \, dx \]

Verification is Not applicable to the result.

[In]

Integrate[CoshIntegral[a + b*x]^2/x^3,x]

[Out]

Integrate[CoshIntegral[a + b*x]^2/x^3, x]

________________________________________________________________________________________

Maple [A]  time = 0.055, size = 0, normalized size = 0. \begin{align*} \int{\frac{ \left ({\it Chi} \left ( bx+a \right ) \right ) ^{2}}{{x}^{3}}}\, dx \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(Chi(b*x+a)^2/x^3,x)

[Out]

int(Chi(b*x+a)^2/x^3,x)

________________________________________________________________________________________

Maxima [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{{\rm Chi}\left (b x + a\right )^{2}}{x^{3}}\,{d x} \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(Chi(b*x+a)^2/x^3,x, algorithm="maxima")

[Out]

integrate(Chi(b*x + a)^2/x^3, x)

________________________________________________________________________________________

Fricas [A]  time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (\frac{\operatorname{Chi}\left (b x + a\right )^{2}}{x^{3}}, x\right ) \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(Chi(b*x+a)^2/x^3,x, algorithm="fricas")

[Out]

integral(cosh_integral(b*x + a)^2/x^3, x)

________________________________________________________________________________________

Sympy [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\operatorname{Chi}^{2}\left (a + b x\right )}{x^{3}}\, dx \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(Chi(b*x+a)**2/x**3,x)

[Out]

Integral(Chi(a + b*x)**2/x**3, x)

________________________________________________________________________________________

Giac [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{{\rm Chi}\left (b x + a\right )^{2}}{x^{3}}\,{d x} \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(Chi(b*x+a)^2/x^3,x, algorithm="giac")

[Out]

integrate(Chi(b*x + a)^2/x^3, x)