2) Use the appropriate trigonometric substitution to transform the integral into an integral in the variable 0. xp J. 19 – 25x² (/2 sine de cos e sin? 0 do de 3-5e d. ² cos² ® d® 125

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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Please answer these two questions.

 

2) Use the appropriate trigonometric substitution to transform the integral into an integral in the variable 0.
3/5
x2
xp-
V9 – 25x²
3 /2 sin? e
a.
de
cos e
b. sin? 0 de
/2
125 J0
25 Jo
c. /5 _02
de
3-50
T/2
d.
125
cos? 0 de
Transcribed Image Text:2) Use the appropriate trigonometric substitution to transform the integral into an integral in the variable 0. 3/5 x2 xp- V9 – 25x² 3 /2 sin? e a. de cos e b. sin? 0 de /2 125 J0 25 Jo c. /5 _02 de 3-50 T/2 d. 125 cos? 0 de
1) Find the volume generated by rotating the region bounded by y = 0, y = cos² x ,-<xs about y = 1.
b.
3n
e. 7²
Transcribed Image Text:1) Find the volume generated by rotating the region bounded by y = 0, y = cos² x ,-<xs about y = 1. b. 3n e. 7²
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