\(\int \frac {\text {Chi}(c+d x) \sinh (a+b x)}{x} \, dx\) [133]

Optimal result

Integrand size = 16, antiderivative size = 16 \[ \int \frac {\text {Chi}(c+d x) \sinh (a+b x)}{x} \, dx=\text {Int}\left (\frac {\text {Chi}(c+d x) \sinh (a+b x)}{x},x\right ) \]

[Out]

CannotIntegrate(Chi(d*x+c)*sinh(b*x+a)/x,x)

Rubi [N/A]

Not integrable

Time = 0.11 (sec) , antiderivative size = 16, normalized size of antiderivative = 1.00, number of steps used = 0, number of rules used = 0, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.000, Rules used = {} \[ \int \frac {\text {Chi}(c+d x) \sinh (a+b x)}{x} \, dx=\int \frac {\text {Chi}(c+d x) \sinh (a+b x)}{x} \, dx \]

[In]

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

[Out]

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

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

Mathematica [N/A]

Not integrable

Time = 2.94 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\text {Chi}(c+d x) \sinh (a+b x)}{x} \, dx=\int \frac {\text {Chi}(c+d x) \sinh (a+b x)}{x} \, dx \]

[In]

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

[Out]

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

Maple [N/A] (verified)

Not integrable

Time = 0.41 (sec) , antiderivative size = 16, normalized size of antiderivative = 1.00

\[\int \frac {\operatorname {Chi}\left (d x +c \right ) \sinh \left (b x +a \right )}{x}d x\]

[In]

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

[Out]

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

Fricas [N/A]

Not integrable

Time = 0.23 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\text {Chi}(c+d x) \sinh (a+b x)}{x} \, dx=\int { \frac {{\rm Chi}\left (d x + c\right ) \sinh \left (b x + a\right )}{x} \,d x } \]

[In]

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

[Out]

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

Sympy [N/A]

Not integrable

Time = 0.91 (sec) , antiderivative size = 15, normalized size of antiderivative = 0.94 \[ \int \frac {\text {Chi}(c+d x) \sinh (a+b x)}{x} \, dx=\int \frac {\sinh {\left (a + b x \right )} \operatorname {Chi}\left (c + d x\right )}{x}\, dx \]

[In]

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

[Out]

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

Maxima [N/A]

Not integrable

Time = 0.31 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\text {Chi}(c+d x) \sinh (a+b x)}{x} \, dx=\int { \frac {{\rm Chi}\left (d x + c\right ) \sinh \left (b x + a\right )}{x} \,d x } \]

[In]

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

[Out]

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

Giac [N/A]

Not integrable

Time = 0.30 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\text {Chi}(c+d x) \sinh (a+b x)}{x} \, dx=\int { \frac {{\rm Chi}\left (d x + c\right ) \sinh \left (b x + a\right )}{x} \,d x } \]

[In]

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

[Out]

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

Mupad [N/A]

Not integrable

Time = 5.25 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.12 \[ \int \frac {\text {Chi}(c+d x) \sinh (a+b x)}{x} \, dx=\int \frac {\mathrm {coshint}\left (c+d\,x\right )\,\mathrm {sinh}\left (a+b\,x\right )}{x} \,d x \]

[In]

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

[Out]

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