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For any integer n ge 2, let I(n) = int t...

For any integer `n ge 2`, let `I_(n) = int tan^(n) xdx`. If `I_(n) =1/a tan^(n-1)x - bI_(n-2)` for `n ge 2`, then the ordered pair (a,b) equals to

A

`(n-1, (n-1)/(n-2))`

B

`(n-1, (n-2)/(n-1))`

C

(n,1)

D

(n-1,1)

Text Solution

Verified by Experts

The correct Answer is:
D
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