Find the Riemann sum for this integral using right endpoints and n = 3

Question

johnnydicamillo · Answer

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johnnydicamillo · Answer

I know based off of this $$\Delta X = 1$$ and xi = 4 + i

johnnydicamillo · Answer

so we get $$\lim_{n \rightarrow 3} \sum_{i =1}^{3} (3x i^2+4x i+2)1$$

johnnydicamillo · Answer

Actually I think that last part is incorrect

johnnydicamillo · Answer

28 + 6i should be in the f(xi) spot

johnnydicamillo · Answer

right?

johnnydicamillo · Answer

$$\lim_{n \rightarrow 3} \sum_{i = 1}^{3}(28+6i)\Delta x$$

solomonzelman · Answer

do you have to use reinnman sums?
The graph is really really steep.

solomonzelman · Answer

you can.

johnnydicamillo · Answer

well they are going to want to use the sum for the mid term, so I should get used to it

solomonzelman · Answer

You can, using either left or right, OR upper and lower sum...

which one are you doing, or want to do?

johnnydicamillo · Answer

right and left

solomonzelman · Answer

Yes, but right ends, left ends, or both?

johnnydicamillo · Answer

but if you can do the right the left is pretty easy. I just need help with the process

johnnydicamillo · Answer

both

solomonzelman · Answer

in this case:
right sum=upper sum
left sum=lower sum
(since f is going up and up)

So lets do the left sum.

johnnydicamillo · Answer

the left and right sum are the same for endpoints right?

solomonzelman · Answer

no, and I didn't say that.

johnnydicamillo · Answer

Find the Riemann sum for this integral using right endpoints and n = 3

johnnydicamillo · Answer

that is one of the questions it does not say much more

solomonzelman · Answer

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