# Science:Math Exam Resources/Courses/MATH103/April 2005/Question 05 (a)

MATH103 April 2005
Other MATH103 Exams

### Question 05 (a)

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 $\displaystyle p>0$ .

(a) Compute the area of the region between this curve and the x-axis for $\displaystyle 1\leq x\leq B$ . (Later we will refer to this area as A.)

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