BCPL doubts-1

Let f (x) is a continuous function which takes positive values for x≥0 and satisfy \int_{0}^{x}{f(t)dt}=x\sqrt{f(x)} with f (1) =1/2. Then the value of f(\sqrt{2}+1) equals 2 ???

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29
govind ·

Same question discussed here
http://www.targetiit.com/iit-jee-forum/posts/integer-type-15505.html

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