Prove one of the following formulas from the table of integrals: S: √a²-x²2 a²x + C dx x²√a²-x²

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 5E: 5. Prove that the equation has no solution in an ordered integral domain.
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Prove one of the following formulas from the table of integrals:
√a²-x²
+ C
a²x
dx
x²√a²-x²
x²
a²-x²
S
S
dx =
- x² +²sin-¹+C
a
-√² − x² +
2
2
Transcribed Image Text:Prove one of the following formulas from the table of integrals: √a²-x² + C a²x dx x²√a²-x² x² a²-x² S S dx = - x² +²sin-¹+C a -√² − x² + 2 2
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