ENV100H1 Lecture Notes - Lecture 4: Asymptote

• School: UTSG
• Department: School of Environment
• Course: ENV100H1
• Professor: Barbara Murck

Document Summary

Z f (x) dx = f (x) + c where f (x) = f (x). Well, the de nite integral can be calculated with that. Property: the de nite integral of f from a to b a where f is continuous on [a, b], is equal to. Incidentally, this is just the inde nite integral at b subtracted by itself at a, F (b) f (a) where f (x) = f (x). F (b) + c (cid:0)f (a) + c(cid:1) = f (b) + c f (a) c. Sometimes this is written a f (x) dx = f (b) f (a). Z b f (x) dx = (cid:18)z f (x) dx(cid:19)(cid:12)(cid:12)(cid:12)(cid:12) Z b a b a (reads the inde nite integral r f (x) dx, evaluated at b and at a, with the a value subtracted and the b value added"). Example: calculate the area of on [ 3, 5]. f (x) = 3x2 4x + 3.