Evaluate the integral. π/4 π/4 -π/4 -π/4 [(2 sin t)i + (3+6 cos t)j + ( sec² t) k] dt = [(2 sin t)i + (3+6 cos t)j + ( sec² t) k] dt = (¹ + i + k Di+Dj+Dk (Type exact answers.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 105E
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Evaluate the integral.
π/4
π/4
S
[(2 sin t)i + (3+6 cos t)j + ( sec² t) k] dt =
-π/4
-π/4
[(2 sin t)i + (3+6 cos t)j + ( sec² t) k] dt = Di+Di+k
(Type exact answers.)
Transcribed Image Text:Evaluate the integral. π/4 π/4 S [(2 sin t)i + (3+6 cos t)j + ( sec² t) k] dt = -π/4 -π/4 [(2 sin t)i + (3+6 cos t)j + ( sec² t) k] dt = Di+Di+k (Type exact answers.)
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