MAT237Y1 Lecture Notes - Negative Number, Terp
Document Summary
Say, for argument"s sake that f(x) is bigger than g(x) on the interval we"re dealing with. Well, then nd the area under f(x) and subtract the area under g(x). This will give you the area between the two curves! And now all that"s left is solving this guy. 1 (cid:90) f(x) dx g(x) dx (cid:90) (cid:90) f(x) g(x) dx. But remember that if you subtract two integrals, you can just combine the two functions under one integral! However, keep in mind that f(x) must be greater than or equal to g(x). If not, you"ll get out the opposite sign that you want! Also, be careful that f(x) and g(x) may switch on you! This now brings me to explain what i mean when i ask nd the area enclosed between these two functions. if that"s what i ask, and i say nothing more about the interval, then it is your job to.
