Suppose we know that $\displaystyle 1 \le \int_{0}^{4} g(x)dx \le 10$. Determine the best possible upper and lower bounds for $\displaystyle \int_{0}^{2} xg(x^2)dx$ that can be deduced from this information. Justify your answer.

Again, I've no idea where to really start on this one... if someone could help me through it I'd appreciate it.