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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 limx→0g(x)=0. Then ∫21f(x)f′(x).11+x2dx= |
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Answer» 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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