Let f : R→R such that f(x+2y)=f(x)+f(2y)+4xy,∀x,yϵR and f(0) = 0. – InterviewSolution

1.	Let f : R→R such that f(x+2y)=f(x)+f(2y)+4xy,∀x,yϵR and f(0) = 0.If l1=∫10f(x)dx,I2=∫0−1f(x)dx, and l3=∫1−1f(x)dx, then
Answer» Let f : $R \to R$ such that $f (x + 2 y) = f (x) + f (2 y) + 4 x y, \forall x, y ϵ R$ and f(0) = 0.If $l_{1} = \int_{0}^{1} f (x) d x, I_{2} = \int_{- 1}^{0} f (x) d x$ , and $l_{3} = \int_{- 1}^{1} f (x) d x,$ then

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