# Math Help - Probability density function

1. ## Probability density function

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Abit stuck, any help appreciated, thanks.. And what are the limits when integrating?

2. It should be clear that $\displaystyle X=\sqrt[3]{2Y-1}$

For the limits of integration, x = -1,1, then substitute these values into $\displaystyle Y= \frac{1}{2}(X^3+1)$

3. don't forget the chain rule

$f_Y(y)=f_X(x)\left|{dx\over dy}\right|$

4. thanks!