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A function f is defined by f(x) = int0^p...

A function f is defined by `f(x) = int_0^pi cos t cos(x-t)dt,0 <= x <= 2 pi` then which of the following.hold(s) good?

A

f(x) is continuos but not differentiable in `(0,2pi)`

B

Maximum value of f is `pi`

C

There exists atleast one `c in (0,2pi)if f'(c)=0`

D

Minimum value of f is `-(pi)/(2)`

Text Solution

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The correct Answer is:
A, B
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