Let f be a differentiable |DEFINITE INTEGRATION|JEEMAIN 2019

JEE MAIN 2019

09-01-19 S2

Question

Let f be a differentiable function from $R$ to $R$ such that $|f(x)-f(y)| \leq 2|x-y|^{\frac{3}{2}}$, for all $x, y \in R$. If $f(0)=1$ then $\int_0^1 f^2(x) d x$ equal to-

Select the correct option:

$\frac{1}{2}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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