1) On which derivative rule is the method of integration by parts based? (product rule, quotient rule, chain rule or others?) 1 / (20²2 - 2x + 2)e³ dx, what are the best choice of u and dv? 2) Consider the integral 3) Determine whether the following statements are true. If it is true, give a brief explanation. If it is false, give a counter example. Please notice that u means u(x) and v mean v(x). 2) fun² dz = a) uv' b) Iue' da - (Su dz). ( [v'dz) dx uv' dx = uv- a fod S v du= uv - vu' dx uv - fu dv

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1) On which derivative rule is the method of integration by parts based? (product rule, quotient rule, chain rule or others?)
2) Consider the integral (x² 2x + 2)e³* dx, what are the best choice of u and dv?
3x
3) Determine whether the following statements are true. If it is true, give a brief explanation. If it is false, give a counter example. Please notice
that u means u(x) and v mean v(x).
a)
2) fuv²
uv' dx = ( [u dz). ( [v dz)
dx
bi fut de-wo-fil de
b) uv' dx
vu' dx
of edu=ww-fude
dv
Transcribed Image Text:1) On which derivative rule is the method of integration by parts based? (product rule, quotient rule, chain rule or others?) 2) Consider the integral (x² 2x + 2)e³* dx, what are the best choice of u and dv? 3x 3) Determine whether the following statements are true. If it is true, give a brief explanation. If it is false, give a counter example. Please notice that u means u(x) and v mean v(x). a) 2) fuv² uv' dx = ( [u dz). ( [v dz) dx bi fut de-wo-fil de b) uv' dx vu' dx of edu=ww-fude dv
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