Science:Math Exam Resources/Courses/MATH200/April 2012/Question 08/Hint 2

Remember to integrate first with respect to depending variable(s), and later with the independent variable(s).

Hence, the integral to calculate is

$\underset{0}{\overset{1}{\int }}\underset{0}{\overset{1-x}{\int }}\underset{0}{\overset{y^2}{\int }}z\text{d}z\text{d}y\text{d}x$