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Definite Integral (Posted on 2002-08-06)

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(2): Easy solution

| Comment 3 of 15 |

(In reply to re: Easy solution by levik)

The function describes the upper half of the circle, for -1 <= x <= 1. (It would describe the whole circle if there were a plus-or-minus in front of the square root.)

The integral asks for the right half of that. Hence, pi / 4.

Posted by Jim Lyon on 2002-08-07 10:48:55

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