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Definite Integration question

2019 · 9 Jan · Shift 2 · Q31

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PYQ Library
JEE Main
Mathematics
Definite Integration
2019 · 9 Jan · Shift 2 · Q31

Definite Integration question

2019 · 9 Jan · Shift 2 · Q31

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

Let f be a differentiable function from R to R such that

\left| {f\left( x \right) - f\left( y \right)} \right| \le 2{\left| {x - y} \right|^{{3 \over 2}}},

for all

x,y \in

R. If

f\left( 0 \right) = 1

then

\int\limits_0^1 {{f^2}} \left( x \right)dx

is equal to :

A
1
B
2
C
${1 \over 2}$
D
0

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