Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent. I keep getting 1 of them wrong, i'm not sure which one.

Question

Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent. I keep getting 1 of them wrong, i'm not sure which one. Can you please help ASAP? Here's the link to the question and my answers: https://ibb.co/GnR9JGf

Answer 1

Questions #2 and #4 are both improper and convergent integrals as they both have the same kinds of functions (except for the exponents, which are both 1 more in #4 compared to #2) and are being evaluated between 0 and +/- infinity. You marked #2 correctly (improper and convergent) but marked #4 incorrectly (improper and divergent.)