MATH 2B Study Guide - Fall 2018 Midterm Notes - Udu, Tanx

• School: UC-Irvine
• Department: Mathematics
• Course: MATH 2B
• Professor: All

Document Summary

Undoing the chain rule f (x) f. Is harder to recognize when to undo the chain rule when finding the integral. How? x x u = 2 du = 2 dx. 1 8 + u ) c ( 8. Sinx cosx u = d = u. X + 3 2 5 x ) dx du (5 sinx cosxdx sinx. + 3 2 6 + x ) c. W10 + c = cos10(u) + c = We can"t just use the boundaries we"d used for when the function was in terms of x. Two choices then: either don"t solve for the interval until the function is ln all in x again, or change the boundaries to be in terms of u x| e x = u = Once you change the boundaries, you no longer have to worry about re-substituting x into the integral. You can just solve the integral as it is all in terms of u now (1)