3.65 \(\int \frac{\sinh (a+b x) \text{Shi}(c+d x)}{x} \, dx\)

Optimal. Leaf size=18 \[ \text{CannotIntegrate}\left (\frac{\sinh (a+b x) \text{Shi}(c+d x)}{x},x\right ) \]

[Out]

CannotIntegrate[(Sinh[a + b*x]*SinhIntegral[c + d*x])/x, x]

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Rubi [A]  time = 0.131082, 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 = {} \[ \int \frac{\sinh (a+b x) \text{Shi}(c+d x)}{x} \, dx \]

Verification is Not applicable to the result.

[In]

Int[(Sinh[a + b*x]*SinhIntegral[c + d*x])/x,x]

[Out]

Defer[Int][(Sinh[a + b*x]*SinhIntegral[c + d*x])/x, x]

Rubi steps

\begin{align*} \int \frac{\sinh (a+b x) \text{Shi}(c+d x)}{x} \, dx &=\int \frac{\sinh (a+b x) \text{Shi}(c+d x)}{x} \, dx\\ \end{align*}

Mathematica [A]  time = 10.4293, size = 0, normalized size = 0. \[ \int \frac{\sinh (a+b x) \text{Shi}(c+d x)}{x} \, dx \]

Verification is Not applicable to the result.

[In]

Integrate[(Sinh[a + b*x]*SinhIntegral[c + d*x])/x,x]

[Out]

Integrate[(Sinh[a + b*x]*SinhIntegral[c + d*x])/x, x]

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Maple [A]  time = 0.063, size = 0, normalized size = 0. \begin{align*} \int{\frac{{\it Shi} \left ( dx+c \right ) \sinh \left ( bx+a \right ) }{x}}\, dx \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(Shi(d*x+c)*sinh(b*x+a)/x,x)

[Out]

int(Shi(d*x+c)*sinh(b*x+a)/x,x)

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(Shi(d*x+c)*sinh(b*x+a)/x,x, algorithm="maxima")

[Out]

integrate(Shi(d*x + c)*sinh(b*x + a)/x, x)

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Fricas [A]  time = 0., size = 0, normalized size = 0. \begin{align*}{\rm integral}\left (\frac{\sinh \left (b x + a\right ) \operatorname{Shi}\left (d x + c\right )}{x}, x\right ) \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(Shi(d*x+c)*sinh(b*x+a)/x,x, algorithm="fricas")

[Out]

integral(sinh(b*x + a)*sinh_integral(d*x + c)/x, x)

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Sympy [A]  time = 0., size = 0, normalized size = 0. \begin{align*} \int \frac{\sinh{\left (a + b x \right )} \operatorname{Shi}{\left (c + d x \right )}}{x}\, dx \end{align*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(Shi(d*x+c)*sinh(b*x+a)/x,x)

[Out]

Integral(sinh(a + b*x)*Shi(c + d*x)/x, x)

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

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate(Shi(d*x+c)*sinh(b*x+a)/x,x, algorithm="giac")

[Out]

integrate(Shi(d*x + c)*sinh(b*x + a)/x, x)