Integrand size = 12, antiderivative size = 12 \[ \int x^m \tanh ^3(a+b x) \, dx=\text {Int}\left (x^m \tanh ^3(a+b x),x\right ) \]
[Out]
Not integrable
Time = 0.02 (sec) , antiderivative size = 12, 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 = {} \[ \int x^m \tanh ^3(a+b x) \, dx=\int x^m \tanh ^3(a+b x) \, dx \]
[In]
[Out]
Rubi steps \begin{align*} \text {integral}& = \int x^m \tanh ^3(a+b x) \, dx \\ \end{align*}
Not integrable
Time = 109.52 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int x^m \tanh ^3(a+b x) \, dx=\int x^m \tanh ^3(a+b x) \, dx \]
[In]
[Out]
Not integrable
Time = 0.02 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.00
\[\int x^{m} \tanh \left (b x +a \right )^{3}d x\]
[In]
[Out]
Not integrable
Time = 0.25 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int x^m \tanh ^3(a+b x) \, dx=\int { x^{m} \tanh \left (b x + a\right )^{3} \,d x } \]
[In]
[Out]
Not integrable
Time = 0.60 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.00 \[ \int x^m \tanh ^3(a+b x) \, dx=\int x^{m} \tanh ^{3}{\left (a + b x \right )}\, dx \]
[In]
[Out]
Not integrable
Time = 0.75 (sec) , antiderivative size = 171, normalized size of antiderivative = 14.25 \[ \int x^m \tanh ^3(a+b x) \, dx=\int { x^{m} \tanh \left (b x + a\right )^{3} \,d x } \]
[In]
[Out]
Not integrable
Time = 0.31 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int x^m \tanh ^3(a+b x) \, dx=\int { x^{m} \tanh \left (b x + a\right )^{3} \,d x } \]
[In]
[Out]
Not integrable
Time = 1.68 (sec) , antiderivative size = 14, normalized size of antiderivative = 1.17 \[ \int x^m \tanh ^3(a+b x) \, dx=\int x^m\,{\mathrm {tanh}\left (a+b\,x\right )}^3 \,d x \]
[In]
[Out]