Find the indefinite integral. sin4 60 de Step 1 To find the integral 1 - cos 2x Rewrite the integral. Step 2 Simplify the right side. | [(sin² [ sinª 60 de = [(sin² 60)(sin✓60) de | sin4 60 de, apply the half angle identity. = The integral becomes = sin (sin² 60)sin¹ Step 3 Use the half angle identity. 1 + cos 2x 2 4 =/(²₁² 2 = COS 2 1 - cos 182 1 2 X X X X 2 60 de = cos 6 2 /(1-2008 120 + 1 + (**)) 00 •) cos de 4 2 sin 240 X 0 + 2 12 0 24 1 1 1 - cos X X 2 12 0 1/2 X sin 120 X 0 C. e) + c. de 2 cos 120 + cos² 120 120) de
Find the indefinite integral. sin4 60 de Step 1 To find the integral 1 - cos 2x Rewrite the integral. Step 2 Simplify the right side. | [(sin² [ sinª 60 de = [(sin² 60)(sin✓60) de | sin4 60 de, apply the half angle identity. = The integral becomes = sin (sin² 60)sin¹ Step 3 Use the half angle identity. 1 + cos 2x 2 4 =/(²₁² 2 = COS 2 1 - cos 182 1 2 X X X X 2 60 de = cos 6 2 /(1-2008 120 + 1 + (**)) 00 •) cos de 4 2 sin 240 X 0 + 2 12 0 24 1 1 1 - cos X X 2 12 0 1/2 X sin 120 X 0 C. e) + c. de 2 cos 120 + cos² 120 120) de
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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