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
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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
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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