Exercises

1. Determine if the following improper integrals exist. If they do exist, report their values. If they do not exist, show why not.
   1. , interval .
   2. , interval .
   3. , interval .
   4. , interval .
   5. , interval .
   6. , interval .

2. For what values of the real parameter p does exist?

3. For what values of the real parameter p does exist?

4. Provide definitions for the existence of integrals over the unbounded intervals and .

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