Can anybody please help me in integrating the following expression?

Integration from 0 to1
[p(x)/(1-a*p(x))^2] dx

In one case p(x) is
p(x)=x^2-2*x^3+x^4

In other case p(x) is
p(x)=1-cos(2*pi*x)

'a' is a constant.

Thanks in advance.