Right Riemann sum for f(x) on [0.3], n0
n = number of bars
f(x) = (x^3)/9
Calculate the Riemann for n.

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.

mhchen · Answer

$$\sum_{k=1}^{n}f(x)\Delta x$$ 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 $$\sum_{k=1}^{n} \frac{x^3}{9} \frac{3}{n}$$

Ultrilliam · Answer

@563blackghost @Vocaloid

mhchen · Answer

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

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.
$$x_{k}$$

mhchen · Answer

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mhchen · Answer

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