Integrand size = 18, antiderivative size = 18 \[ \int F(c,d,\cosh (a+b x),r,s) \sinh (a+b x) \, dx=\text {Int}(F(c,d,\cosh (a+b x),r,s) \sinh (a+b x),x) \]
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Not integrable
Time = 0.01 (sec) , antiderivative size = 18, 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 = {} \[ \int F(c,d,\cosh (a+b x),r,s) \sinh (a+b x) \, dx=\int F(c,d,\cosh (a+b x),r,s) \sinh (a+b x) \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \frac {\text {Subst}(\int F(c,d,x,r,s) \, dx,x,\cosh (a+b x))}{b} \\ \end{align*}
Not integrable
Time = 0.05 (sec) , antiderivative size = 20, normalized size of antiderivative = 1.11 \[ \int F(c,d,\cosh (a+b x),r,s) \sinh (a+b x) \, dx=\int F(c,d,\cosh (a+b x),r,s) \sinh (a+b x) \, dx \]
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Not integrable
Time = 0.02 (sec) , antiderivative size = 18, normalized size of antiderivative = 1.00
\[\int F \left (c , d , \cosh \left (b x +a \right ), r , s\right ) \sinh \left (b x +a \right )d x\]
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Not integrable
Time = 0.25 (sec) , antiderivative size = 20, normalized size of antiderivative = 1.11 \[ \int F(c,d,\cosh (a+b x),r,s) \sinh (a+b x) \, dx=\int { F\left (c, d, \cosh \left (b x + a\right ), r, s\right ) \sinh \left (b x + a\right ) \,d x } \]
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Not integrable
Time = 0.54 (sec) , antiderivative size = 15, normalized size of antiderivative = 0.83 \[ \int F(c,d,\cosh (a+b x),r,s) \sinh (a+b x) \, dx=\int F{\left (c,d,\cosh {\left (a + b x \right )},r,s \right )} \sinh {\left (a + b x \right )}\, dx \]
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Not integrable
Time = 0.30 (sec) , antiderivative size = 20, normalized size of antiderivative = 1.11 \[ \int F(c,d,\cosh (a+b x),r,s) \sinh (a+b x) \, dx=\int { F\left (c, d, \cosh \left (b x + a\right ), r, s\right ) \sinh \left (b x + a\right ) \,d x } \]
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Not integrable
Time = 0.26 (sec) , antiderivative size = 20, normalized size of antiderivative = 1.11 \[ \int F(c,d,\cosh (a+b x),r,s) \sinh (a+b x) \, dx=\int { F\left (c, d, \cosh \left (b x + a\right ), r, s\right ) \sinh \left (b x + a\right ) \,d x } \]
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Not integrable
Time = 2.34 (sec) , antiderivative size = 20, normalized size of antiderivative = 1.11 \[ \int F(c,d,\cosh (a+b x),r,s) \sinh (a+b x) \, dx=\int \mathrm {sinh}\left (a+b\,x\right )\,F\left (c,d,\mathrm {cosh}\left (a+b\,x\right ),r,s\right ) \,d x \]
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