Integrand size = 15, antiderivative size = 15 \[ \int f^{\frac {c}{a+b x}} x^m \, dx=\text {Int}\left (f^{\frac {c}{a+b x}} x^m,x\right ) \]
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Not integrable
Time = 0.03 (sec) , antiderivative size = 15, 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 = {} \[ \int f^{\frac {c}{a+b x}} x^m \, dx=\int f^{\frac {c}{a+b x}} x^m \, dx \]
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Rubi steps \begin{align*} \text {integral}& = \int f^{\frac {c}{a+b x}} x^m \, dx \\ \end{align*}
Not integrable
Time = 0.03 (sec) , antiderivative size = 17, normalized size of antiderivative = 1.13 \[ \int f^{\frac {c}{a+b x}} x^m \, dx=\int f^{\frac {c}{a+b x}} x^m \, dx \]
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Not integrable
Time = 0.02 (sec) , antiderivative size = 15, normalized size of antiderivative = 1.00
\[\int f^{\frac {c}{b x +a}} x^{m}d x\]
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Not integrable
Time = 0.28 (sec) , antiderivative size = 17, normalized size of antiderivative = 1.13 \[ \int f^{\frac {c}{a+b x}} x^m \, dx=\int { f^{\frac {c}{b x + a}} x^{m} \,d x } \]
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Not integrable
Time = 3.02 (sec) , antiderivative size = 12, normalized size of antiderivative = 0.80 \[ \int f^{\frac {c}{a+b x}} x^m \, dx=\int f^{\frac {c}{a + b x}} x^{m}\, dx \]
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Not integrable
Time = 0.24 (sec) , antiderivative size = 17, normalized size of antiderivative = 1.13 \[ \int f^{\frac {c}{a+b x}} x^m \, dx=\int { f^{\frac {c}{b x + a}} x^{m} \,d x } \]
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Not integrable
Time = 0.33 (sec) , antiderivative size = 17, normalized size of antiderivative = 1.13 \[ \int f^{\frac {c}{a+b x}} x^m \, dx=\int { f^{\frac {c}{b x + a}} x^{m} \,d x } \]
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Not integrable
Time = 0.18 (sec) , antiderivative size = 17, normalized size of antiderivative = 1.13 \[ \int f^{\frac {c}{a+b x}} x^m \, dx=\int f^{\frac {c}{a+b\,x}}\,x^m \,d x \]
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