We would like to find a formula for eax sin(bx) dx by completi eax sin(bx) dx u = sin(bx) = du = b cos(bx) dx 1 du = eax dx → v = -eax a 1 sin(bx) · -ex - eªx .b cos(bx) dx - a 1 edx sin(bx)- eax cos(bx) dx a Please continue with the work to show that the formula is eax eax sin(bx) dx = b cos(bx) + a sin(bx) + C - a2 + b2
We would like to find a formula for eax sin(bx) dx by completi eax sin(bx) dx u = sin(bx) = du = b cos(bx) dx 1 du = eax dx → v = -eax a 1 sin(bx) · -ex - eªx .b cos(bx) dx - a 1 edx sin(bx)- eax cos(bx) dx a Please continue with the work to show that the formula is eax eax sin(bx) dx = b cos(bx) + a sin(bx) + C - a2 + b2
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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Question
![We would like to find a formula for
eax sin(bx) dx by completin
eax
sin(bx) dx
u = sin(bx) = du
b cos(bx) dx
%D
1
U = -eax
a
du = eax dx =
1
sin(bx) · -ex
ea.
b cos(bx) dx
-
a
a
1
-eax
sin(bx) – - / e* cos(bx)
dx
a
a
Please continue with the work to show that the formula is
eax sin(bx) dx =
eax
|- b cos(bx) + a sin(bx) + C
a2 + b2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac138aaa-51c1-49bb-b577-2a25b6d2d282%2Fd4ff06d4-1674-446a-8302-89ba6a116d25%2Fjnbxxiz_processed.jpeg&w=3840&q=75)
Transcribed Image Text:We would like to find a formula for
eax sin(bx) dx by completin
eax
sin(bx) dx
u = sin(bx) = du
b cos(bx) dx
%D
1
U = -eax
a
du = eax dx =
1
sin(bx) · -ex
ea.
b cos(bx) dx
-
a
a
1
-eax
sin(bx) – - / e* cos(bx)
dx
a
a
Please continue with the work to show that the formula is
eax sin(bx) dx =
eax
|- b cos(bx) + a sin(bx) + C
a2 + b2
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