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2)Rewrite sin5 x cos³x in terms of cos x: sin5 x cos³x = Rewrite sin5 x cos³ x in terms of sin x: sin5 x cos³x =

2)Rewrite sin5 x cos³x in terms of cos x: sin5 x cos³x = Rewrite sin5 x cos³ x in terms of sin x: sin5 x cos³x =

Calculus: Early Transcendentals
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) State the half-angle identities used to integrate sin² x and cos² x. sin² x = 2) Rewrite sin5 x cos³ x in terms of cos x: sin5 x cos³ x = Rewrite sin5 x COs³ sin5 x cos³ x = x in terms of sinx: 3)Rewrite tan5 x sec4 x in terms of tan x : tan5 x sec² x = Rewrite tan5 x sec4 x in terms of secx : tan5 x sec¹ x = 4) In order to evaluate the integral f sec³ x dx, we must use integration by parts. There are two ways to do so: a) sec³ x dx = sec x . sec² b) S For a, what are u = For b, we consider sec³ x dx 2 cos²x = = [sec² S x dx x sec x dx " = dv = tan² x secx dx = = [(1 + tan² x) secx dx = - f sec secx dx + Star tan² x secx dx 1 tan x tan x secx dx. Then what are u = dv=
Transcribed Image Text:1) State the half-angle identities used to integrate sin² x and cos² x. sin² x = 2) Rewrite sin5 x cos³ x in terms of cos x: sin5 x cos³ x = Rewrite sin5 x COs³ sin5 x cos³ x = x in terms of sinx: 3)Rewrite tan5 x sec4 x in terms of tan x : tan5 x sec² x = Rewrite tan5 x sec4 x in terms of secx : tan5 x sec¹ x = 4) In order to evaluate the integral f sec³ x dx, we must use integration by parts. There are two ways to do so: a) sec³ x dx = sec x . sec² b) S For a, what are u = For b, we consider sec³ x dx 2 cos²x = = [sec² S x dx x sec x dx " = dv = tan² x secx dx = = [(1 + tan² x) secx dx = - f sec secx dx + Star tan² x secx dx 1 tan x tan x secx dx. Then what are u = dv=
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