MATH 1M03 Lecture 11: Substitution
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J ~ d. 0 = f,,. , iv i tc. J k. v olso j o. f(a)t bj/u) clv - o,jf /v)d"t- h}j(v)du e dv. ,s i " o r de( to r~v\ace rro j et c\ ci. Is dv = v" c\x l/oivtio1"1 : f c~) : j f!i;_ j! (1j 1s ,t 00 the 1;sl "1. I e t v =- (1 n "t. !_ j ~ p. Some" t f,. ,,"j f o,"1i be cc u . s e or dv. [of1r10 t v" u ~ ( ir"lx)5 chj_; v" cj l} : ( ~nxt" d l{ u =- ~nx. J . r_i_-t. iol cond;+, o,, f-("() . =_ jfvlx)b -t c vuas b. _( e) _ ; ( {__o _(t ) "=- + cz. ,l , t m v t: 1 p , c e1. 1y"s i de. 5 , for ~ ("hq,n r41e. /\aa::fnp u -= j1" 2 +. 2 _ Dv =v"d>"- v"=: r u .