Question

Need help finding an integrand. Medals to anyone who can provide a step by step solution! Thanks!

Answer 1

this is a Riemann sum, are you familiar with the limit definition of a definite integral?

Answer 2

yes it goes to infinity

Answer 3

also are you familiar with the components to a riemann sum?

Answer 4

yeah the integrand represents the height of the rectangle while the change in x is the width

Answer 5

rectangles*

Answer 6

I AM FERTILE

Answer 7

ok so you have delta x portion covered, as well as the starting point (a) covered, now you have a sum of f(a+deltax). Essentially, you know a is 10, and delta x is equal to x when n goes to infinity, so the deltax (which in this case is 2(k)/n) is the x, and the square root becomes the f(x)
f(x)= sqrt(x)

Answer 8

flutter, yeah i was close I was trying sqrt(10+x) but thanks

Answer 9

mhm, the trick is knowing that a=10 and therefore you need to remove that from the function because it is covered in the integrand.