3.34 \(\int \frac{\text{Erf}(b x)^2}{x^6} \, dx\)

Optimal. Leaf size=12 \[ \text{Unintegrable}\left (\frac{\text{Erf}(b x)^2}{x^6},x\right ) \]

[Out]

Unintegrable[Erf[b*x]^2/x^6, x]

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Rubi [A]  time = 0.0174087, 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 = {} \[ \int \frac{\text{Erf}(b x)^2}{x^6} \, dx \]

Verification is Not applicable to the result.

[In]

Int[Erf[b*x]^2/x^6,x]

[Out]

Defer[Int][Erf[b*x]^2/x^6, x]

Rubi steps

\begin{align*} \int \frac{\text{erf}(b x)^2}{x^6} \, dx &=\int \frac{\text{erf}(b x)^2}{x^6} \, dx\\ \end{align*}

Mathematica [A]  time = 0.0360329, size = 0, normalized size = 0. \[ \int \frac{\text{Erf}(b x)^2}{x^6} \, dx \]

Verification is Not applicable to the result.

[In]

Integrate[Erf[b*x]^2/x^6,x]

[Out]

Integrate[Erf[b*x]^2/x^6, x]

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Maple [A]  time = 0.053, size = 0, normalized size = 0. \begin{align*} \int{\frac{ \left ({\it Erf} \left ( bx \right ) \right ) ^{2}}{{x}^{6}}}\, dx \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(erf(b*x)^2/x^6,x)

[Out]

int(erf(b*x)^2/x^6,x)

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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.

[In]

integrate(erf(b*x)^2/x^6,x, algorithm="maxima")

[Out]

Timed out

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Fricas [A]  time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (\frac{\operatorname{erf}\left (b x\right )^{2}}{x^{6}}, x\right ) \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(erf(b*x)^2/x^6,x, algorithm="fricas")

[Out]

integral(erf(b*x)^2/x^6, x)

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Sympy [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\operatorname{erf}^{2}{\left (b x \right )}}{x^{6}}\, dx \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(erf(b*x)**2/x**6,x)

[Out]

Integral(erf(b*x)**2/x**6, x)

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Giac [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\operatorname{erf}\left (b x\right )^{2}}{x^{6}}\,{d x} \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(erf(b*x)^2/x^6,x, algorithm="giac")

[Out]

integrate(erf(b*x)^2/x^6, x)