47-50. The accompanying figure shows four regions bounded by the graph of y = x sin x: R₁, R2, R3, and R4, whose areas are 1, π – 1, π + 1, and 2π - 1, respectively. (We verify these results later in the text.) Use this information to evaluate the following integrals. Area 1 50. R₁ R₂ of th= y = x sin x Area = 1 ㅠ Area = 7+ 1 R3 x sin x dx R4 12TT X Area = 27-1
47-50. The accompanying figure shows four regions bounded by the graph of y = x sin x: R₁, R2, R3, and R4, whose areas are 1, π – 1, π + 1, and 2π - 1, respectively. (We verify these results later in the text.) Use this information to evaluate the following integrals. Area 1 50. R₁ R₂ of th= y = x sin x Area = 1 ㅠ Area = 7+ 1 R3 x sin x dx R4 12TT X Area = 27-1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![47-50. The accompanying figure shows four regions bounded by the graph of y = x sin x: R₁, R₂, R3, and R4, whose
areas are 1, π – 1, î + 1, and 2´ − 1, respectively. (We verify these results later in the text.) Use this information to
evaluate the following integrals.
y
Area = 7 + 1
y = x sin x
R₁
Pe
TT
377
R3
Area = π-1
2
-2
-4
50.
Area = 1
2π
S = x sin x dr
π/2
R4
2m
X
Area = 27-1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0ea15aad-ce09-44c1-ae1a-fd69c581a5af%2F74d1fbe9-de08-4ed1-a17c-6ea342037410%2Ft7hwqx_processed.png&w=3840&q=75)
Transcribed Image Text:47-50. The accompanying figure shows four regions bounded by the graph of y = x sin x: R₁, R₂, R3, and R4, whose
areas are 1, π – 1, î + 1, and 2´ − 1, respectively. (We verify these results later in the text.) Use this information to
evaluate the following integrals.
y
Area = 7 + 1
y = x sin x
R₁
Pe
TT
377
R3
Area = π-1
2
-2
-4
50.
Area = 1
2π
S = x sin x dr
π/2
R4
2m
X
Area = 27-1
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