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Definite Integral (Posted on 2002-08-06) Difficulty: 3 of 5
Let f(x) = √(1-x²)

Find the definite integral of f(x) between x = 0 and x = 1

See The Solution Submitted by Cheradenine    
Rating: 3.0000 (8 votes)

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re(3): Easy solution | Comment 4 of 15 |
(In reply to re(2): Easy solution by Jim Lyon)

You correctly stated that f(x) is the upper half of the circle, but when you said that if there were a ± before the radical, the "function" would descibe the whole circle, you were not quite correct. the relation would describe the whole circle, but it would no longer be a function. A function y = f(x) can have only one value y for any one value of x.
  Posted by TomM on 2002-08-07 18:49:40

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