Let's do the second one.
As you should be able to see, as L is unbounded, we are left with 1
1)
2)
3)
These beasts are the only thing I've yet to conquer on my latest AP Calc BC take home test. I've thought about integration by parts and even simple u-substitution but I'm drawing a blank here. I'm somewhat sure I need to substitute in a value for infinity and take the limit as that value goes to infinity for the impropers, but I'm not really sure.
Any help is appreciated. :>