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#### grgrsanjay

##### New member

- Jan 28, 2012

- 21

Let $f:R \to R$ be a continuous and differential function given by

$\displaystyle f(x) = x + \int_0^1 (xy + x^2)f(y)dy$

find $\displaystyle \int_0^1 f(x)dx$ and $\displaystyle \int_0^1 xf(x)dx$

I wanted to know how i could start the problem.Please do not give full solution

It would be good if you could even help me with the LaTeX too....

$\displaystyle f(x) = x + \int_0^1 (xy + x^2)f(y)dy$

find $\displaystyle \int_0^1 f(x)dx$ and $\displaystyle \int_0^1 xf(x)dx$

I wanted to know how i could start the problem.Please do not give full solution

It would be good if you could even help me with the LaTeX too....

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