Basic Integration Example 07 (Changing Base of an Exponential Function)
Basic Integration Example 07 (Changing Base of an Exponential Function)

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Use the Integral Test to determine whether the series is convergent or divergent.
n = 1
Evaluate the following integral: x^2e^(-x^3) dx
Since the integral is not finite, the series is divergent.
n^2e^(-n^3)

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Transcript

So in this question it is given the integral 1 to Infinity X Square E power minus x cubed dx. So it will be a limit of our tends to infinity from want to our x squared e power minus x cubed dx Hey, and this will be LTD off our tends to infinity one by three. Want to our E Power -4 dates. Hey, so This one x 3 limit our…