Determine whether the improper integral converges or diverges, and find the value of each that converges.
∫^[infinity]_0 xe^4x dx

The integral diverges

Step-by-step explanation:

Consider the integral from 0 to infinity of

We can do this in parts

When we substitute limits infinity we find that the values become infinity

Hence the integral diverges

The given improper integral diverges

this is a very good question

step-by-step explanation:

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