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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Obvious substitution - 2

| Comment 2 of 5 |

Actually, f'(x) = ax is a solution to the f' equation for any a, but the resulting integral stays the same

Posted by JLo on 2019-12-14 05:47:46

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