# Math Help - MRAM and Trapezoid Rule??

1. ## MRAM and Trapezoid Rule??

I don't get this...

-My teacher never told me how to do the Midpoint Riemann Sum
-WE don't have the graph, is there a way to solve the problem w/o graphing??

Integral from 1 to 2 of $x{{^-2}}$

n = 4

2. Alright I have figured out how to do the Trapezoidal Rule, and got the right answer..

But I still have no clue on what to do about MRAM.

3. $f(x) = \frac{1}{x^2}$

midpoint Riemann sum ... height of each rectangle is the function value evaluated at the midpoint of each subinterval.

for example, the first subinterval starts at $1$ and ends at $\frac{5}{4}$ ... midpoint x-value is $\frac{1+\frac{5}{4}}{2} = \frac{9}{8}$

$\int_1^2 \frac{1}{x^2} \, dx \approx \frac{2-1}{4}\left[f\left(\frac{9}{8}\right)+f\left(\frac{11}{8}\righ t)+f\left(\frac{13}{8}\right)+f\left(\frac{15}{8}\ right)\right]$