The continuous random variable X has probability density function given by:

$\displaystyle f(x)=\frac{3}{4} (1+x^2), for 0\leq x \leq 1, and 0, otherwise$

A is the event X>1/2, B is the event X> 3/4.

Find P(B|A).

Book's answer: 85/152

I have not the faintest idea how to do this, I have tried a few odd approaches but they doesn't match the book's answer: 85/152

I got P(A)=13/32 and P(B)=85/256

:help: