Question

Write the definite integral for the summation:

Answer 1

what do get if you put \(k=0\)?

Answer 2

you mean? \[\sum_{k=0}^{n}\]

Answer 3

@satellite73

Answer 4

i just meant what do you get if you replace k by 0
that will give you the lower limit of integration

Answer 5

the function itself should be pretty clear, since the exponent is 2, the integrand is \(x^2\)

Answer 6

uh are you saying I must integrate x^2?

Answer 7

yes, \(x^2\) is the integrand

Answer 8

isn't that x^3/3 (sorry if that's wrong I suck at math)

Answer 9

x^3/3 is the result of the integral. But the problem ask for the integrand, the term inside the integral. So the answer is what @satellite73 said. The integral with x^2 as integrand.

Answer 10

oohh welll then I know the answer is either A B or D then

Answer 11

And the low limit with 0, as you see before.

Answer 12

You also know the low limit, by the reasons from before.

Answer 13

So, what is the answer?

Answer 14

A

Answer 15

Wait, I think there is a problem with the limit.

Answer 16

what the problem?

Answer 17

No, there is no problem. It is all ok, just I wanted to recheck.

Answer 18

A is the correct one.

Answer 19

oh alright. Thanks again :)

Answer 20

You're welcome.

Answer 21

Hey, I found an error!!

Answer 22

Just, the infinite sum is not the same as the integral in A. It is not the answer A.

Answer 23

When you put k=0, the low limit is 1. So the good one, must have the low limit 1. It cannot be as k/n is just an infinitesimal. So it is C.