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Let y=f(x) be a differentiable function ...

Let y=f(x) be a differentiable function `AA x in R` and satisfies:
`f(x)=x+int_(0)^(1)x^(2)zf(z)dz+int_(0)^(1)xz^(2)f(z)dz.`

A

`f(x) = (20 x)/(119)(2 + 9x)`

B

`f(x) = (20x)/(119)(4 + 9x)`

C

`f(x) = (10x)/(119) (4 + 9x)`

D

`f(x) = (5x)/(119)(4 + 9x)`

Text Solution

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The correct Answer is:
B
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