Let f be a differentiable function from R to R such that |f(x) - f(y)| 2|x - y|^ 3/2 , for all x, y ∈ R. If...

Question

Let f be a differentiable function from R to R such that |f(x) - f(y)| 2|x - y|^ 3/2 , for all x, y ∈ R. If f(0) = 1 then _0^1 f^2(x) ,dx is equal to:

Accepted Answer

(D)

JEE Main 2019 Mathematics question

Solution