Interpret the definite integral A = integral [a,b] dA = integral L(x)dx as computing the area of a region in the xy plane. Then one can think of the definite integral as:

Question

A. "accumulating" all of the small segments of area "dA" from a to b
B. the antiderivative of L(x)
C. "accumulating" all of the small segments of area "dA" from a to b AND "accumulating" all of the small segments of area "L(x) dx" from a to b, where L(x) represents the length of a rectangle at a particular x value, and dx the width
D. the antiderivative of dA
E. "accumulating" all of the small segments of area "L(x) dx" from a to b, where L(x)r epresents the length of a rectangle at a particular x value, and dx the widt

Answer 1

It’s c

Answer 2

Did you check?

Answer 3

it is indeed c. (I checked)