MATH 31B Lecture Notes - Lecture 15: Fanta, Improper Integral, Pliers
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P = ( or higher: lots of time. Nextup: surface area of fix) f jensth. io" : f y = 7+10 coshtho) and of x dx. Fanta the example we did was very realistic ! Such curves are called catenaries . ropes follow the shape y = ctdcoshcxld ) ! The st. louis arch - has the shape of y = c - d cosh (xk ) a weightedy . By st_louis_night_expblend. jpg: daniel schwenderivative work: (cid:572)fetchcomms - st_louis_night_expblend. jpg, cc by-sa 3. 0, https://commons. wikimedia. org/w/index. php?curid=14673204. , g tf. t"" of fix) 20 t xefesb] Given fix) w/ the surface area of the surface revolution of f is given by sa=2x!bfcxirex. The above follows as the ox; get smaller & smaller these approximations just like last time . An improperin-teg. at either the domain of integration is the integrand is unbounded . is a definite integral where infinite or where.
