The three ways in which the integumentary, skeletal and muscular systems give support to one another and work together as a team are these: they provide protection, they provide support and they provide thermoregulation.
Explanation:
The entire human body is comprised of a series of organ systems that work together to bring about homeostasis. If this homeostasis is not maintained, then disease happens. Homeostasis is the concept that defines the balance and stability of the entire organ systems so that they can work as they should.
In the case of the integumentary and musculo-skeletal systems, these three organ systems, which are probably the most exposed to the external environment (especially the integumentary) and its changes, homeostasis can only be reached if all three interact and work together. If these were to fail, then homeostasis, and life itself for a person, would be put at risk.
As such, the integumentary, skeletal and muscle systems, given their composition and structures, as well as functions, work together to bring three specific elements of homeostasis:
Protection: The skin, most especially, protects all the body from the outer environment, but also serves as a protector to prevent the internal environment of the body from being affected. The muscles also, work as protectors as they exert force on bones but also encase them in a form of "cushion" that prevents bones from being broken all the time. Finally, the bones protect internal organs.
Support: the entire skeletal and muscular systems, as well as the integumentary, form a sort of mesh thanks to which, especially water, heat, and electrolytes are maintainted in constant balance. But they are also the mesh that keep together the internal structure of the human body. Without them there would be no movement, no heat generation and no electrolyte and water balance.
Thermal regulation: While the muscles are capable of generating heat, the skin is the one structure that will regulate the exit and also exchange of heat from the external environment. In this case, the bones do not play a big role, but they will be responsible for the release of calcium ions when the body needs more of this element for the function of different cells, including muscle cells and skin cells. So in an indirect way, they too play a role in helping in thermal regulation.
