MAT 1332 Lecture Notes - Lecture 2: If And Only If

• School: University of Ottawa
• Department: Mathematics
• Course: MAT 1332
• Professor: Catalin Rada

Document Summary

If is continuous, and if f : [ b f (x)dx f(b) F a a, ] b a f. If f : [ b a, ] is a continuous function, then we form: g(x) = x a f (t)dt x a, ] b so g : [ b . 46. g (x) x a t t t + 4 e dt g (x) = x x x + 4 e x. 1 nt l 4 dt g (x) 3 x int s: c ostdt g (x) 3 x int s: c ostdt) s int, c ostdt) x. = f (sinx) et = g dt (x) sinx. = ex g (x) inx f (x) osx: c osx osx sinx. = g (x) hain rule f (e ) dt sint. T 4 g (x) f dt (x) x sint. = ex f h (x) (x) x = sinex f (e ) Exercise g (x) if g (x) sinx cosx sint.