Let u = cos(4x) and du = e² da, then by using IBP, the integral [e²= cos(4x) e2x cos(4x) dx is equal to 0 121 122 cos(4x) - 2 [₁ S e²* sin(4x) dx 2e²= cos(4x) - 1²/2 e²* sin(4x) dx e²x cos(4x) + 2 e²* sin(4x) dx 1 e²* sin(4x) dx 2x 2 ܩܕܟܟ 0 1 2e²* cos(4x) +

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 70E
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Let  u=cos⁡(4x) and dv=e2x dx, then by using IBP, the integral ∫e2xcos⁡(4x) dx is equal to

Let u = cos(4x) and du = e² da, then by using IBP, the integral [e²= cos(4x)
e2x cos(4x) dx is equal to
0 121 122 cos(4x) - 2
[₁
S
e²* sin(4x) dx
2e²= cos(4x) - 1²/2
e²* sin(4x) dx
e²x cos(4x) + 2
e²* sin(4x) dx
1
e²* sin(4x) dx
2x
2
ܩܕܟܟ
0 1
2e²* cos(4x) +
Transcribed Image Text:Let u = cos(4x) and du = e² da, then by using IBP, the integral [e²= cos(4x) e2x cos(4x) dx is equal to 0 121 122 cos(4x) - 2 [₁ S e²* sin(4x) dx 2e²= cos(4x) - 1²/2 e²* sin(4x) dx e²x cos(4x) + 2 e²* sin(4x) dx 1 e²* sin(4x) dx 2x 2 ܩܕܟܟ 0 1 2e²* cos(4x) +
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