»Draw area and write down integral, that describes that area:
a) $\displaystyle D=\{(x,y); x\leq y\leq 2-x^2\}$«
hmm, interesting. it would depend on at what level this question is being asked. if it is at the calculus 3 level, then it is probably something like what Mathstud said (we would perhaps need more information in this case, about the instructions you were given).
if it is calculus 1 or 2, then it is likely they are after something like this:
see the attached diagram. you want the integral to find the shaded region.