Use the Integral Test to determine whether the series is converg

${\displaystyle \underset{n=1}{\overset{}{}}}{n}^3{e}^{-n^4}$

Evaluate the following integral.

${\displaystyle \underset{1}{\overset{}{}}}{x}^3{e}^{-x^4}dx$

Since the integral $$ finite, the series is $$

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