Science:Math Exam Resources/Courses/MATH103/April 2005/Question 05 (b)/Statement

Consider the curve given by

$\displaystyle y=f(x)={\frac {1}{x^{p}}}$

for $\displaystyle 1\leq x\leq B$ where $\displaystyle p,B$ are constants with $\displaystyle B>1$ and $\displaystyle p>0$.

(b) Compute the volume obtained by revolving the same region about the x-axis. (Later we will refer to this volume as V).