Evaluate let flx) = 4x-1 |f'(x) = 4 + g(x) = ex g(x) = ex |S (4x-1) e* dx = (4x-1) ex - Sex. 4 dx = (4x-1) ex - 4 Sex dx 2 = (4x-1/ex- 4 ex = 4 xex - ex-4ex = 4x ex-sex =ex (4x - 5) + C

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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Hello! I am currently rewriting my math quizzes to study. Can I get a double check on this question? Thank you so much in advance!
Quiz #3
#11 By integration by parts (${(x) g(x) dx = f(x) g(x) - f gux) f'(x)
Evaluate: frux - 1)e² dx
llet flx) = 4x-1
f'(x) = 4
g(x) = ex
glxs = ex
S (4x-1) ex dx = (4x-1) ex - Sex. 4 dx
= (4x-1) ex - 4 Sex dx
= (4x-1/ex- 4 ex
= 4 xex - ex-Yex
= 4x ex-Sex
=ex (4x - 5) + (
Transcribed Image Text:Quiz #3 #11 By integration by parts (${(x) g(x) dx = f(x) g(x) - f gux) f'(x) Evaluate: frux - 1)e² dx llet flx) = 4x-1 f'(x) = 4 g(x) = ex glxs = ex S (4x-1) ex dx = (4x-1) ex - Sex. 4 dx = (4x-1) ex - 4 Sex dx = (4x-1/ex- 4 ex = 4 xex - ex-Yex = 4x ex-Sex =ex (4x - 5) + (
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