how can I remember that the integumentary system is the skin, sweat and oil glands, hair, and nails?

Answer 1

One way to memorize groups like this is by making up a mnemonic: http://en.wikipedia.org/wiki/Mnemonic

SSOHN

or

HONSS

I've heard students using these mnemonics before:

PEMDAS (order of operations in math)
ROYGBIV (order of colors in the visible spectrum)
etc.

=)

Answer 2

When I had to remember the integumentary system for a test, I used the phrase:

IS Skimpy Susie Oiling Hair & Nails?

The "IS" stands for itegumentary system. I = integumentary and S = system. On "Skimpy", the "Ski" is very close to "Skin". I couldn't think of a name that was similar to "Sweat" so I just used Susie & used the first letter "S" to remember "Sweat." The last 3 words are obvious.

Hope this helps!