Question

This one is troublesome. I forgot Riemanns Sum

Answer 1

So n=8 is your number of rectangles, so you can automatically rule one of these answers out

Answer 2

The second one

Answer 3

Right, then you can use the fact the reimann sums approximates the area between the function and the x-axis (when taken with respect to x) to rule out the rest

Answer 4

The bottom two answers dont make sense. Thats not how you take the area of a function is what Im trying to say. The area is between the x-axis and the line of the function. It doesnt transition through the x-axis.

Answer 5

So the first one is the answer. I see

Answer 6

There is a more correct way to do this though.

Answer 7

How would I do the other problems?