1.

Let 'f' be a function such that f(xy)=f(x)f(y)∀x,yϵR+ and f(1+x)=1+x(1+g(x)) where limx→0g(x)=0. Then ∫21f(x)f′(x).11+x2dx=

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Let 'f' be a function such that f(xy)=f(x)f(y)x,yϵR+ and f(1+x)=1+x(1+g(x)) where limx0g(x)=0. Then 21f(x)f(x).11+x2dx=



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