If M=int(0)^((pi)/2)(cosx)/(x+2)dx and N...

If `M=int_(0)^((pi)/2)(cosx)/(x+2)dx` and `N=int_(0)^((pi)/4)(sinxcosx)/((x+1)^(2))dx`,
then the value of `M-N` is

A

(a) `pi`

B

(b) `(pi)/4`

C

(c) `2/(pi-4)`

D

(d) `2/(pi+4)`

Verified by Experts

The correct Answer is:

D

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