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Derive a formula for the volume of a d-dimensional
Chapter , Problem 16P(choose chapter or problem)
QUESTION:
Derive a formula for the volume of a d-dimensional hypersphere.
Questions & Answers
QUESTION:
Derive a formula for the volume of a d-dimensional hypersphere.
ANSWER:Solution 16P
The Gaussian function has an antiderivative and if it is integrated from to , its numerical value is found to be
So,
If the function is squared and double integration is done on it. The square is values as .