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Len N be set of natural numbers. For n...

Len N be set of natural numbers. For `n in N` defiine
`I_(n)=int_(0)^(pi) (x sin^(2n)(x))/(sin^(2n)(x)+cos^(2n)(x)) dx`.
Then for `m,n in N`

A

`I_(m) lt I_(n)` for all `m lt n`

B

`I_(m) gt I_(n)` for all `m lt n`

C

`I_(m) =I_(n)` for all `m ne n`

D

`I_(m) lt I_(n)` for some `m lt n` and `I_(m) gt I_(n)` for some ` m lt n`

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