# Determine whether the improper integral diverges or converges. Evaluate the intergral if it converges.

Question

Determine whether the improper integral diverges or converges. Evaluate the intergral if it converges.

check_circleExpert Solution
Step 1

To determine the provided improper integral is convergent or divergent then if the integral is convergent then calculate the value of the provided improper integral. First change the limit at some point t where the t approaches the positive infinity. The provided improper integral is shown below,

Step 2

According to the definition for convergent or divergent of improper integral, Consider the function f(x) is bounded and integrable in the each finite interval [p,∞) then, the integral can be written as follows,

Step 3

Now, write the provided improper integral ...

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