Given the equation (cos x + 2 sin x)2 S Cos x If you integrate the given equation, the answer is

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 72E
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Please show the correct solution and encircle the final answer please.
Given the equation
(cos x + 2 sin x)*
S
Cos x
If you integrate the given equation,
the answer is
= -4 cos x
4 In sec x + tan x – 3 sin x + C
= -4 cos x
4 In sec a + tan x + 3 sin x + C
= -4 cos x + 4ln sec x + tan x – 3 sin x + C
= -4 cos x + 4 ln | sec x
tan x – 3 sin x + C
|
Transcribed Image Text:Given the equation (cos x + 2 sin x)* S Cos x If you integrate the given equation, the answer is = -4 cos x 4 In sec x + tan x – 3 sin x + C = -4 cos x 4 In sec a + tan x + 3 sin x + C = -4 cos x + 4ln sec x + tan x – 3 sin x + C = -4 cos x + 4 ln | sec x tan x – 3 sin x + C |
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