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Let f (x) = int x ^(2) cos ^(2)x (2x + 6...

Let `f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx and f (x)` passes through the point `(pi, 0)`
If `f : R-(2n +1) pi/2 to R ` then `f (x)` be a :

A

even function

B

odd function

C

neither even nor odd

D

even as well as odd both

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • Let f (x) = int x ^(2) cos ^(2)x (2x + 6 tan x - 2x tan ^(2) x ) dx and f (x) passes through the point (pi, 0) The number of solution (s) of the equation f (x) =x ^(3) in [0, 2pi] be:

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  • If f (x) = sqrt(cos ec ^(2) x - 2 sin x cos x - (1)/(tan ^(2) x )) x in ((7pi)/(4), 2pi ) then f' ((11 pi)/(6))=

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    `(1- sqrt3)/(2)`
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