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Let f:R to R,g:R to R be differentiable ...

Let `f:R to R,g:R to R` be differentiable functions such that (fog)(x) = x. If `f(x)=2x+cosx+sin^(2)x`, then the value of `underset(n=1)overset(99)sumg(1+(2n-1)pi)` is

A

`1250pi`

B

`(99)^(2)(pi)/(2)`

C

`(99)^(2)pi`

D

`2500pi`

Text Solution

Verified by Experts

The correct Answer is:
B
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