3.93 \(\int x^m \text{Chi}(a+b x)^2 \, dx\)

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

[Out]

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

________________________________________________________________________________________

Rubi [A]  time = 0.0427522, 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 = {} \[ \int x^m \text{Chi}(a+b x)^2 \, dx \]

Verification is Not applicable to the result.

[In]

Int[x^m*CoshIntegral[a + b*x]^2,x]

[Out]

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

Rubi steps

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

Mathematica [A]  time = 3.77469, size = 0, normalized size = 0. \[ \int x^m \text{Chi}(a+b x)^2 \, dx \]

Verification is Not applicable to the result.

[In]

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

[Out]

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

________________________________________________________________________________________

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

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

________________________________________________________________________________________

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

integrate(x^m*Chi(b*x + a)^2, x)

________________________________________________________________________________________

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

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

________________________________________________________________________________________

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(x**m*Chi(b*x+a)**2,x)

[Out]

Integral(x**m*Chi(a + b*x)**2, x)

________________________________________________________________________________________

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

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

[Out]

integrate(x^m*Chi(b*x + a)^2, x)