perplexus.info :: Calculus : The cute substitution

The cute substitution (Posted on 2019-12-13)

Given that f(x) satisfies the equation f(x)+f(√(1-x²))=2, compute the integral f(x)/√(1-x²) from 0 to 1.

No Solution Yet Submitted by Danish Ahmed Khan

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Puzzle Answer

| Comment 4 of 5 |

The required definite integral evaluates to: pi/2

How interesting! I will certainly posit an independent explanation of my own, when I have the time.

Posted by K Sengupta on 2022-06-17 23:29:07

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