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If `f` is continuous function and `F(x)=int_0^x((2t+3)*int_t^2f(u)d u)dt ,` then `|(F''(2))/(f(2))|` is equal to_____

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Verified by Experts

The correct Answer is:
7

`F'(x)=(2x+3)int_(x)^(2)f(u)du`
`:.F''(x)=-(2x+3)f(x)+(int_(x)^(2)f(u)du).2`
`F''(2)=-7f(2)+0`
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