The figure to the right shows four regions bounded by the graph of y = x sin x: R1, R2, R3, and R4, whose areas are 1, T - 1, n+ 1, and 2n - 1, respectively. Use this information to evaluate the following integral. Area = 1 Ara = +1 y = x sin x 2 R R2 27 3n /2 R3 R4 Arwa --1 x sin x dx Area = 27 - 1 1/2 Зл /2 x sin x dx = (Type an exact answer, using a as needed.) 1/2 -

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Systems Of Linear Equations
Section1.3: Applications Of Systems Of Linear Equations
Problem 13E: Use sin0=0, sin2=1, and sin=0 to estimate sin3.
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The figure to the right shows four regions bounded by the
graph of y = x sin x: R1, R2, R3, and R4, whose areas are 1,
T - 1, n+ 1, and 2n - 1, respectively. Use this information to
evaluate the following integral.
Area = 1
Area = +1
2
y = x sin x
R R2
/27
Зл /2
R3
R4
Area = 27 - 1
Arwa =-1
x sin x dx
1/2
Зл /2
x sin x dx =
(Type an exact answer, using t as needed.)
1/2
Transcribed Image Text:The figure to the right shows four regions bounded by the graph of y = x sin x: R1, R2, R3, and R4, whose areas are 1, T - 1, n+ 1, and 2n - 1, respectively. Use this information to evaluate the following integral. Area = 1 Area = +1 2 y = x sin x R R2 /27 Зл /2 R3 R4 Area = 27 - 1 Arwa =-1 x sin x dx 1/2 Зл /2 x sin x dx = (Type an exact answer, using t as needed.) 1/2
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