For any real number x, let [x] denotes 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−[x], if [x] is odd 1+[x]−x, if [x] is even Then, the value of π21010∫−10f(x)cosπx dx is

For any real number x, let [x] denotes the largest integer less than o

1.	For any real number x, let [x] denotes 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−[x], if [x] is odd 1+[x]−x, if [x] is even Then, the value of π21010∫−10f(x)cosπx dx is
Answer» For any real number $x$ , let $[x]$ denotes the largest integer less than or equal to $x$ . Let $f$ be a real valued function defined on the interval $[- 10, 10]$ by $f (x) = {\begin{matrix} x - [x], if [x] is odd 1 + [x] - x, if [x] is even \end{matrix}$ Then, the value of $\frac{π^{2}}{10} 10 \int - 10 f (x) cos π x d x$ is