Please help! Will FAN AND MEDAL!

What are the limits of integration if the summation the limit as n goes to infinity of the summation from k equals 1 to n of the product of the quantity of the square of 2 plus 7 times k over n and the quotient of 7 and n is written as a definite integral with integrand x2?

a. 0,2
b. 1,7
c. 2,9
d. 2,7

Question

Please help! Will FAN AND MEDAL! 

What are the limits of integration if the summation the limit as n goes to infinity of the summation from k equals 1 to n of the product of the quantity of the square of 2 plus 7 times k over n and the quotient of 7 and n is written as a definite integral with integrand x2?

a. 0,2
b. 1,7
c. 2,9
d. 2,7

xguardians · Answer

Can you post the equation out, it makes it easier to understand.

aryana_maria2323 · Answer

$$\lim_{n \rightarrow \infty}\sum_{k=1}^{n}[2+\frac{ 7k }{ n }]^2(\frac{ 7 }{ n })$$

xguardians · Answer

http://openstudy.com/study#/updates/572512e6e4b0644381e0fd45 Reference this thread.

xguardians · Answer

We solved something very similar and it has lots of resources.

aryana_maria2323 · Answer

I don't understand.

aryana_maria2323 · Answer

@xGuardians Can you show me how to solve this in steps?

xguardians · Answer

Quite honestly, I just learned this stuff today :P

xguardians · Answer

$$\int\limits_{?}^{?}(2+x)^2$$

aryana_maria2323 · Answer

Okay then you should probably remember it very well lol

xguardians · Answer

Well, I didn't really learn it, I learned it in that thread I referenced you to...

aryana_maria2323 · Answer

Can you try then?

xguardians · Answer

Oh, I get it.

xguardians · Answer

So you see the 7/n part, that means the limits of integration must be 7 apart.

xguardians · Answer

0,2 = 2 apart
1,7 = 6 apart
2,9 = 7 apart <----
2,7 = 5 apart

aryana_maria2323 · Answer

okay so 2,9 is my answer?

xguardians · Answer

Yeppers.