The figure to the right shows four regions bounded by the graph of y=x sinx: R₁, R₂, R3, and R4, whose areas are 1,-1, +1, and 2x-1, respectively. Use this information to evaluate the following integral. Зл/2 S K Зл/2 S π x sin x dx x sin x dx = 589 (Type an exact answer, using it as needed.) Area = 1 R₁ R₂ y= xsinx 5 Area = -1 77 R₂ Area = +1 R₁ 2T x Area = 2-1

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 79E
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The figure to the right shows four regions bounded by the graph of
y=x sinx: R₁, R₂, R3, and R4, whose areas are 1,-1, +1, and
2x-1, respectively. Use this information to evaluate the following
integral.
Зл/2
S
K
3л/2
S
π
x sin x dx
x sin x dx =
58
(Type an exact answer, using as needed.)
Area = 1
R₁
R₂
y= xsinx
5
Area = -1
77
R₂
Area = +1
3-
R₁
2T
x
Area = 2m-1
Transcribed Image Text:The figure to the right shows four regions bounded by the graph of y=x sinx: R₁, R₂, R3, and R4, whose areas are 1,-1, +1, and 2x-1, respectively. Use this information to evaluate the following integral. Зл/2 S K 3л/2 S π x sin x dx x sin x dx = 58 (Type an exact answer, using as needed.) Area = 1 R₁ R₂ y= xsinx 5 Area = -1 77 R₂ Area = +1 3- R₁ 2T x Area = 2m-1
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