I just started learning about parametric curves and I find it confusing that we have a 3rd variable but this 3rd variable "t" is some imaginary variable....I dont get what the difference is between this parameter "t" and the good ole 3 variable functions...This gets confusing for me especially when I do area in a bounded region integration related questions because I am trying to understand what this variable "t" for parameter really means...is this just some fake number or the 3rd dimension Z?
The example below uses t as the bounds of integration but why do that? Doesn't this graph look just like you regular integration graph where you can just use the x bounds for finding the area bounded by the curve?
NOTE: this example has an error in it, where it says t= 3/2 it should be t = 2