Consider f(x)={{:(cosx,0lexlt(pi)/(2)),(...

Consider `f(x)={{:(cosx,0lexlt(pi)/(2)),(((pi)/(2)-x)^(2),(pi)/(2)lexltpi):}` such that f is periodic with period `pi`. Then which of the following is not true?

the range of f is `[0,pi^(2)/4)`

f is continuous for all real x, but not defferentiable for some real x

f is continuous fo all real x

the area bounded by `y=f(x)` and the X-axis for `x=npi` to `x=npi` is `2n(1+(pi^2)/(24))` for a given `n in N`

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The correct Answer is:

A, D

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