I have to take a test that's a review of single-variable calculus, which I haven't really done in years. Most of the sample questions I've been able to do, but these are sticking me:

Now I know that this should be evaluated at the endpoints, but that's because I just looked that up. Is there a way to figure this out without simply having to know the derivative of ?

Absolute values? Yikes. Do I just integrate this as if the absolutes weren't there, and then apply them when evaluating at the endpoints?

Thanks