Subjective Type Questions \( \mathrm{P} \) W Let \( y=f(x) \) be a ...

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Subjective Type Questions
\( \mathrm{P} \)
W
Let \( y=f(x) \) be a differentiable function \( \forall x \in R \) and satisfies :
\[
f(x)=x+\int_{0}^{1} x^{2} z f(z) d z+\int_{0}^{1} x z^{2} f(z) d z
\]
Determine the function.
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