Can You Do It?

Calculus Level 4

Given that \(f(x) \) satisfy the equation \(f(x) + f\left( \sqrt{1-x^2} \right) = 2\), compute \( \displaystyle \int_0^1 \dfrac{f(x) }{\sqrt{1-x^2}} \, dx \).

Give your answer to 3 decimal places.


This problem is not original.
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