Riemann sum....HELP!

[nikchic5]

Evaluate the Riemann sum for f(x)=5-x^2, 0 is less than or equal to x which is less than or equal to 2. Do it with 4 subintervals taking the sample points to be right endpoints.


THANK YOU SOO MUCH FOR ANY HELP!

 

[pka]

\(\displaystyle \L
\begin{array}{l}
[0,2],\,n = 4\quad \Rightarrow \Delta x = \frac{{2 - 0}}{4} = \frac{1}{2} \\
x_0 = 0,\;x_1 = \frac{1}{2},\;x_2 = 1\;x_3 = \frac{3}{2}\;x_4 = 2 \\
f(x) = 5 - x^2 \\
RS = \sum\limits_{k = 1}^4 {f(x_k )\Delta x} = \left[ {\left( {5 - x_1 ^2 } \right) + \left( {5 - x_2 ^2 } \right) + \left( {5 - x_3 ^2 } \right) + \left( {5 - x_4 ^2 } \right)} \right](1/2) \\
\end{array}\)

 

[nikchic5]

??? Still lost

Im so sorry but I just dont get it....Could you help me to better understand it? Thanks soo soo much!

 

[stapel]

The tutor has written out the steps fairly completely, leaving you only with the evaluation. At what point are you stuck?

Please be specific. Thank you.

Eliz.