Hello! this is my first question ever. i am in ap calculus and am working on a redo. i know the correct answer but don't know how to arrive at the correct answer. attached is the question and answer choices. you for your !

Since , and you have a corresponding term in the given Riemann sum of , you know the integral is being taken over an interval of length 5, so you can omit the second choice.

Next, corresponds to with . The fact that alone tells you that the interval of integration starts at 3, and since we know the interval has length 5, that leaves the first choice as the correct answer.