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-[x], & \text{if}[x]\text{is odd} \\ 1+[x]-x, & \text{if}[x]\text{is even}\end{matrix}
Then, the value of 10π2∫−1010f(x)cosπxdx is
Held on 25 Jul 2022 · Verified 6 Jul 2026.
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