Let f(x)= _ n _ r=0 ^n ( (x/2^ r+1 )+ ^3(x/2^ r+1 ) 1- ^2(x/2^ r+1 ) ). Then _ x 0 e^x-e^ f(x) (x-f(x)) is...

Question

Let f(x)= _ n _ r=0 ^n ( (x/2^ r+1 )+ ^3(x/2^ r+1 ) 1- ^2(x/2^ r+1 ) ). Then _ x 0 e^x-e^ f(x) (x-f(x)) is equal to ____.

Accepted Answer

1

JEE Main 2025 Mathematics question