MATH 1620 Lecture 1: 7.1 integration by parts
13 May 2021
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Module l: techniques of intearation easier wi usub stitution icx) Ve gcx duf"cx) axolvs acxjax. (fa" f"qrfa (ov)" = u "v t uv" (ovy" u"v du. Uv u"v au fuv" cdu rearrangeto qet formua. J(fas"dx : )f"gjfa f f"q dx jfa" ox rearrange anol you get for mua 1 fa" dx fa- g dx. Ilate rule de tecmines preference foc u- sud. Zwaua to think aloout this essentia tie aame. Votx sin xolx vox-cos x x sin xox think o. Late v "s i n x dx o"1 v=-cos x. X(-cos x)-(1-cos xlclx xo s x x cos x os x dx sin x. 5ame answer, same metno o, jusr ditferent way 0 settinq up tne pvobiem. 1 x sin x dx (x 2x ) cos x dx (ar cady wor ca ou+ y. Uv"x uv (xa t2xycsin x-(2x 2)(5in x yax ano. J uv" cs uv-) u"v dx vsinx dx.
