Riemann Sum Definite Integral Question

ISITIEIW

New member
So the question is Evaluate (x-2)dx as the integral goes from -2 to 2 using the definition of a definite integral, choosing your sample points to be the right endpoints of the subintervals…

Ok, so i understand how to do this problem if it gave me an actual number of interval like n=6 but it doesn't and i'm not sure how to go about actually solving it without an actual number for n.

Thanks Klaas van Aarsen

MHB Seeker
Staff member
So the question is Evaluate (x-2)dx as the integral goes from -2 to 2 using the definition of a definite integral, choosing your sample points to be the right endpoints of the subintervals…

Ok, so i understand how to do this problem if it gave me an actual number of interval like n=6 but it doesn't and i'm not sure how to go about actually solving it without an actual number for n.

Thanks
Welcome to MHB, ISITIEIW! I suggest you pick n equally spaced narrow rectangles numbered i = 1, ..., n.
For each rectangle we can pick an arbitrary coordinate $x_i$ between its left side and its right side. Say we pick the center, what would $x_i$ be then?
Substitute that $x_i$ in (x-2) and you get the height of each rectangle.