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Let fK(x)""=1/k(s in^k x+cos^k x) where ...

Let `f_K(x)""=1/k(s in^k x+cos^k x)` where `x in R` and `kgeq1` . Then `f_4(x)-f_6(x)` equals (1) `1/6` (2) `1/3` (3) `1/4` (4) `1/(12)`

A

`(1)/(4)`

B

`(1)/(12)`

C

`(1)/(6)`

D

`(1)/(3)`

Text Solution

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The correct Answer is:
B
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