For any real number x, 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)={{x}if [x] is odd,1−{x}if [x] is even, . Then the value of pi21010∫−10f(x)cosπxdx is

For any real number x, let [x] denote the largest integer less than or

1.	For any real number x, 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)={{x}if [x] is odd,1−{x}if [x] is even, . Then the value of pi21010∫−10f(x)cosπxdx is
Answer» For any real number $x$ , 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 $f (x) = {\begin{matrix} {x} & if [x] is odd, 1 - {x} & if [x] is even, \end{matrix}$ . Then the value of $\frac{p i^{2}}{10} 10 \int - 10 f (x) cos π x d x$ is