Mathematics · 2019
JEE Main · 9 January 2019, Shift 2 · Q73
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) d x is equal to:
Let $\displaystyle f$ be a differentiable function from R to R such that $\displaystyle |f(x)-f(y)| \leq 2|x-y|^{3 / 2}$, for all $\displaystyle x, y \in \mathbf{R}$. If $\displaystyle f(0)=1$ then $\displaystyle \int_0^1 f^2(x) d x$ is equal to :
Official answer
(2)
$\displaystyle 1$
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JEE Main 2019 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.