Solving Calculus Homework: Stuck on #11 Riemann's Sum

[KF33]

Homework Statement

I am stuck on number 11 on my homework.

Homework Equations

Not Sure

The Attempt at a Solution

I know this has to have something to do with Riemann's Sum, but I am lost on where to start. I started by putting numbers in for p, but I think that is wrong.

 

[fresh_42]

Homework Statement

I am stuck on number 11 on my homework.

Homework Equations

Not Sure

The Attempt at a Solution

I know this has to have something to do with Riemann's Sum, but I am lost on where to start. I started by putting numbers in for p, but I think that is wrong.

Could you please show us a) what's written on number 11, as your picture is unreadable without processing it further, and b) what you have done so far and why?

 

[KF33]

 

[Ray Vickson]

Homework Statement

I am stuck on number 11 on my homework.

Homework Equations

Not Sure

The Attempt at a Solution

I know this has to have something to do with Riemann's Sum, but I am lost on where to start. I started by putting numbers in for p, but I think that is wrong.

What is the definition of a Riemann sum? For the function $x^p$, what would be a Riemann sum for $\int_0^2 x^p \, dx$ if you were to divide the interval from $x=0$ to $x = 2$ into $n$ equal-sized subintervals?

To fix in your mind what is going on, try first the simple cases of $n = 2, n = 3$ and $n = 4$ subintervals.