[Solved] For any real numberx, let [x] denote the largest integer less than or equal to x. Let f be a real valued function defined on the interval [-10, 10] by f(x) = \\begin{cases}x-[x] & if & [x] & is & odd,\\\\\\1+[x]-x & if & [x] & is & even\\end{cases} Then the value of \\frac{\\pi^2}{10}\\int_{-10}^{10}f(x) \\cos \\pi x dx is - - JEE (Advanced) 2010 Paper-1