I want to compute
$$\int_0^{\infty} e^{-ax^b}\ dx$$
I am trying to use the Gamma Function in order to do this, but am running into difficulties.
I want to compute
$$\int_0^{\infty} e^{-ax^b}\ dx$$
I am trying to use the Gamma Function in order to do this, but am running into difficulties.
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Try the substitution $u = ax^b$. Does that yield a Gamma function integral?