Integrand size = 10, antiderivative size = 10 \[ \int x^m \tanh (a+b x) \, dx=\text {Int}\left (x^m \tanh (a+b x),x\right ) \]
[Out]
Not integrable
Time = 0.01 (sec) , antiderivative size = 10, 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 = {} \[ \int x^m \tanh (a+b x) \, dx=\int x^m \tanh (a+b x) \, dx \]
[In]
[Out]
Rubi steps \begin{align*} \text {integral}& = \int x^m \tanh (a+b x) \, dx \\ \end{align*}
Not integrable
Time = 6.18 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.20 \[ \int x^m \tanh (a+b x) \, dx=\int x^m \tanh (a+b x) \, dx \]
[In]
[Out]
Not integrable
Time = 0.02 (sec) , antiderivative size = 10, normalized size of antiderivative = 1.00
\[\int x^{m} \tanh \left (b x +a \right )d x\]
[In]
[Out]
Not integrable
Time = 0.24 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.20 \[ \int x^m \tanh (a+b x) \, dx=\int { x^{m} \tanh \left (b x + a\right ) \,d x } \]
[In]
[Out]
Not integrable
Time = 0.42 (sec) , antiderivative size = 10, normalized size of antiderivative = 1.00 \[ \int x^m \tanh (a+b x) \, dx=\int x^{m} \tanh {\left (a + b x \right )}\, dx \]
[In]
[Out]
Not integrable
Time = 0.46 (sec) , antiderivative size = 100, normalized size of antiderivative = 10.00 \[ \int x^m \tanh (a+b x) \, dx=\int { x^{m} \tanh \left (b x + a\right ) \,d x } \]
[In]
[Out]
Not integrable
Time = 0.26 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.20 \[ \int x^m \tanh (a+b x) \, dx=\int { x^{m} \tanh \left (b x + a\right ) \,d x } \]
[In]
[Out]
Not integrable
Time = 1.70 (sec) , antiderivative size = 12, normalized size of antiderivative = 1.20 \[ \int x^m \tanh (a+b x) \, dx=\int x^m\,\mathrm {tanh}\left (a+b\,x\right ) \,d x \]
[In]
[Out]