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For n ge 2, let In= int0^(pi//4) tan^n x...

For `n ge 2,` let `I_n= int_0^(pi//4) tan^n xdx` and `F_n=I_n+I_(n-2)`. Then `F_n-F_(n+1)=`

A

`1/n`

B

`1/(n-1)`

C

`(1)/(n(n-1)`

D

`1+n`

Text Solution

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The correct Answer is:
C
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