MATH 14 Lecture Notes - Lecture 10: Joule, Centroid, Antiderivative

• School: Santa Clara University
• Department: Mathematics and Computer Science
• Course: MATH 14
• Professor: Daniel Ostrov

Document Summary

Lecture 10: double integrals over non-rectangular regions, r sect. 1 out of 9 f (x, y)dy dx? y = ? y = ? x = b x = a. B. determine the inner limits: for a fixed x (because it"s held constant! ), we shoot a ray from ray, enters r at the lower limit & exits r at the upper limit. y = . The to y = f (x, y)dy dx x = b x = a g (x, y) 1: it"s convention not to write x = or y = . 2 out of 9 e. g. centroid of a triangle. Centroid : center of mass if the density is constant. R y p da y da da p da. 2 dy dx x x da x = 1 x = 0 y = x y = 0 x y[ d ] 1 x sin(y) y dy dx sin(y) so we need to switch the order of.