Science:Math Exam Resources/Courses/MATH101 B/April 2025/Question 06/Hint 1

Start by finding where the two curves $y=x^n$ and $y=x^{-n}$ intersect. Use this to split the region into two parts: one for $0\le x\le 1$ and one for $x\ge 1$. We can now think of the volume as the sum of which two integrals?