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Let A be the area enclosed between p(x)=- 1 √2-sin x x=³7 ; let B be the area enclosed between q(x)=- 2 and x= x=37 2 Show that A = B (the two enclosed area are equal). , the x-axis and two vertical lines x==2 1 √√2+sin x and " the x-axis and two lines x== 2

Let A be the area enclosed between p(x)=- 1 √2-sin x x=³7 ; let B be the area enclosed between q(x)=- 2 and x= x=37 2 Show that A = B (the two enclosed area are equal). , the x-axis and two vertical lines x==2 1 √√2+sin x and " the x-axis and two lines x== 2

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 43E
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Question 5. Let A be the area enclosed between p(x)=- 1 the x-axis and two vertical lines x==27 and √√2-sin x x=3/7 1 ; let B be the area enclosed between q(x)=- 2 the x-axis and two lines x== √2+sin x 2 and x=- 3л 2 Show that A = B (the two enclosed area are equal). // Hints: areas can be expressed as some definite integrals. // Hints: to prove A = B, you can do one of the following: I. Calculate the results of A, B and show they are equal; II. Show A-B = 0; III. Show the expression of A can be transformed into B through algebraically equivalent transforms.
Transcribed Image Text:Question 5. Let A be the area enclosed between p(x)=- 1 the x-axis and two vertical lines x==27 and √√2-sin x x=3/7 1 ; let B be the area enclosed between q(x)=- 2 the x-axis and two lines x== √2+sin x 2 and x=- 3л 2 Show that A = B (the two enclosed area are equal). // Hints: areas can be expressed as some definite integrals. // Hints: to prove A = B, you can do one of the following: I. Calculate the results of A, B and show they are equal; II. Show A-B = 0; III. Show the expression of A can be transformed into B through algebraically equivalent transforms.
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