Find the most general antiderivative. 4 56) √2+1 5 x² +1 X dx

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Solve the problem.
55) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of
clear glass, whereas the semicircle is of tinted glass that transmits only one-fifth as
much light per unit area as clear glass does. The total perimeter is fixed. Find the
proportions of the window that will admit the most light. Neglect the thickness of the
frame.
Find the most general antiderivative.
4
5
√ [2²:1-2)
dx
+1 X
56)
8
Transcribed Image Text:Solve the problem. 55) A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only one-fifth as much light per unit area as clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thickness of the frame. Find the most general antiderivative. 4 5 √ [2²:1-2) dx +1 X 56) 8
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