[Solved] Let f:[0, 2]\\rightarrow R be the function defined by f(x) = (3- \\sin(2\\pi x)) \\sin \\left(\\pi x - \\frac{\\pi}{4}\\right) - \\sin\\left(3\\pi x + \\frac{\\pi}{4}\\right) If \\alpha, \\beta \\epsilon [0, 2] are such that \\left\\\\{x \\epsilon [0,2] : f(x) \\geq 0\\right\\\\} = [\\alpha, \\beta], then the value of \\beta - \\alpha is _________ - - JEE (Advanced) 2020 Paper-1