- #1
karush
Gold Member
MHB
- 3,269
- 5
$\tiny{206.8.8.17}$
$\textsf{Evaluate the following integral,
or stat that it diverges.}\\$
\begin{align*}
\displaystyle
&& I_{17}&
=\int_{0}^{\infty}36x^8 e^{-x^9}\, dx& &(1)&\\
&& &=36\int_{0}^{\infty}\frac{x^8}{e^{x^9}}\, dx & &(2)&\\
\end{align*}
$\textit{first what be the recommended divergence test to use on this?}$
![Hot beverage :coffee: ☕](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/2615.png)
$\textsf{Evaluate the following integral,
or stat that it diverges.}\\$
\begin{align*}
\displaystyle
&& I_{17}&
=\int_{0}^{\infty}36x^8 e^{-x^9}\, dx& &(1)&\\
&& &=36\int_{0}^{\infty}\frac{x^8}{e^{x^9}}\, dx & &(2)&\\
\end{align*}
$\textit{first what be the recommended divergence test to use on this?}$
![Hot beverage :coffee: ☕](https://cdn.jsdelivr.net/joypixels/assets/8.0/png/unicode/64/2615.png)
Last edited: