2π 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, л-1, л+1, and 2-1, respectively. Use this information to evaluate the following integral. 2π S x sin x dx 3л/2 x sin x dx = 3л/2 YA Area = 1 2 y = x sin x R₁! R₂ + 플 Area =-1 E ☐ (Type an exact answer, using л as needed.) Area = +1 2 R3 R4 Area = 2-1

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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2π
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,
л-1, л+1, and 2-1,
respectively. Use this
information to evaluate the
following integral.
2π
S
x sin x dx
3л/2
x sin x dx =
3л/2
YA
Area = 1
2
y = x sin x
R₁!
R₂
+
플
Area =-1
E
☐ (Type an exact answer, using л as needed.)
Area = +1
2
R3
R4
Area = 2-1
Transcribed Image Text:2π 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, л-1, л+1, and 2-1, respectively. Use this information to evaluate the following integral. 2π S x sin x dx 3л/2 x sin x dx = 3л/2 YA Area = 1 2 y = x sin x R₁! R₂ + 플 Area =-1 E ☐ (Type an exact answer, using л as needed.) Area = +1 2 R3 R4 Area = 2-1
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