Not that Snake!Calculus Level 4
Let \(f(x) \) be a function satisfying \(f(x)= x-x^2\) where \(0\leq x \leq 1 \), and \(f(x+1) = f(x) \) for \(x\in \mathbb R\).
If \(\displaystyle g(x)= \int_0^x f(t) \, dt \), find \(g(6.3) \).
Give your answer upto 3 decimal places.
Bonus: Find the general expression for \(g(x) \).
See its sister problem: Not that Snake again!