Not that Snake again!

Calculus Level 5

\[ \large f(x) = x + \int_0^1 (xy^2 + x^2 y) f(y) \, dy \]

Let \(x\) and \(y\) be real and independent variables. Find \(f(1) \) to 3 decimal places.


See its sister problem: Not that Snake!

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