Let I(n)=int(0)^(pi//2)(sinx+cosx)^(n)dx...

Let `I_(n)=int_(0)^(pi//2)(sinx+cosx)^(n)dx(nge2)`. Then the value of n. `I_(n)-2(n-1)I_(n-1)`is

A

0

B

`2e ^(2)`

C

`e ^(2)`

D

`1`

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The correct Answer is:

B

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