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Consider the polynomial f(x)=a x^2+b x+c...

Consider the polynomial `f(x)=a x^2+b x+c dot` If `f(0)=0,f(2)=2,` then the minimum value of `int_0^2|f^(prime)(x)|dxi s___`

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Verified by Experts

The correct Answer is:
2
`int_(0)^(2)|f'(x)|dxge|int_(0)^(2)f'(x)dx|`
or `int_(0)^(2)|f'(x)|dxge|f(2)|=2`
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