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Difference between the greatest and least values opf the function `f (x) = int _(0)^(x) (cos ^(2) t + cos t +2) ` dt in the interval `[0, 2pi]` is `K pi, `then K is equal to:

A

1

B

3

C

5

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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