Question

Right Riemann sum for f(x) on [0.3], n>0
n = number of bars
f(x) = (x^3)/9
Calculate the Riemann for n.

Answer 1

\[\sum_{k=1}^{n}f(x)\Delta x\] I need to calculate this formula by getting rid of the summation.

I know \[\Delta x = \frac{(3-0)}{n} = \frac{3}{n}\]
and \[ f(x) = \frac{x^3}{9} \]
So I plug them in to get \[\sum_{k=1}^{n} \frac{x^3}{9} \frac{3}{n}\]

Answer 2

@563blackghost @Vocaloid

Answer 3

\[\sum_{k=1}^{n}Ck^3 = C\frac{n^2(n+1)^2}{4}\]

They gave us this formula to work with as well.

Oh sorry I should also mention that x represents the grid points so it should be x subbed k.
\[x_{k}\]

Answer 4

Oof nvm I solved it myself. I see what I did wrong.