I think that it's ok
Since I don't know the solutions to all of these, I'm posting them here instead of in the Math Challenge Problems forum.
None of these integrals should have very complicated solutions.
EDIT: The fourth one might be too easy.
1)
2)
3)
4)
5)
Choose
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Choose
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The last 2 terms evaluate to 0.
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All in all, quite a yawner of a set. The one where Felper recognized the Laplace was the best one, but even that one was str8tforward. This must be for the total newbie undergrads at mit.