If $f\left(x\right)=sin\left[{\pi }^2\right]x+sin[-\pi {]}^{2}x$, where [x] denotes teh greatest integer less than or equal to x, then,

Q. If f(x) = sin [π²] x + sin [−π]² x, where [x] denotes the greatest integer less than or equal to x, then

(a) f(π/2) = 1
(b) f(π) = 2
(c) f(π/4) = −1
(d) None of these

Q. $\left[x\right]$ denotes the greatest integer less than or equal to $x$. If $f\left(x\right)=\sin \left[{\pi }^{2}x\right]+\sin [-{\pi }^{2}x]$ then $f\left(\frac{\pi }{2}\right)=$

Q. If f(x) = cos [π²]x + cos [−π²] x, where [x] denotes the greatest integer less than or equal to x, then write the value of f(π).

Q. If $f\left(x\right)=2\left[x\right]+\cos ([-\pi ]x)$, where $[.]$ represents greatest integer function, then

Q. If $f\left(x\right)={\int }_0^x\sin \left[2x\right]dx$