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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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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