If ∣f(x)−f(y)∣≤2∣x−y∣23 ∀x,y∈R and f(0)=1 then value of \displaystyle{\int_{{{0}}}^{}}

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If {|{f{{({x})}}}-{f{{({y})}}}|}{2}{|{x}-{y}|}^{{{{{3}}}{{{2}}

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If $∣ f (x) - f (y) ∣ \leq 2 ∣ x - y ∣^{\frac{3}{2}}$ $\forall x, y \in R$ and $f (0) = 1$ then value of \displaystyle{\int_{{{0}}}^{}}

(2))

AAx,yinR

and

f(0)=1

t h e n v a l u e o f

int_(0)^(1)

(3)/(2)

/(2))

AAx,yinR

and

f(0)=1

t h e n v a l u e o f

int_(0)^(1)f^2(x)dx

i s e q u a l \to (a) 1 (b) 2 (c)

sqrt2\displaystyle{\left({d}\right)}{4}

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∣ f (x) - f (y) ∣ \leq 2 ∣ x - y ∣^{\frac{3}{2}}

\forall x, y \in R

and

f (0) = 1

then value of \displaystyle{\int_{{{0}}}^{}}

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Question Text	If $∣ f (x) - f (y) ∣ \leq 2 ∣ x - y ∣^{\frac{3}{2}}$ $\forall x, y \in R$ and $f (0) = 1$ then value of \displaystyle{\int_{{{0}}}^{}}
Answer Type	Video solution: 1
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If ∣f(x)−f(y)∣≤2∣x−y∣23​ ∀x,y∈R and f(0)=1 then value of \displaystyle{\int_{{{0}}}^{}}

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If $∣ f (x) - f (y) ∣ \leq 2 ∣ x - y ∣^{\frac{3}{2}}$ $\forall x, y \in R$ and $f (0) = 1$ then value of \displaystyle{\int_{{{0}}}^{}}