Chapter 13.1, Problem 26E

(a)

To determine

To calculate: The area of the first rectangle under the curve of the function $y=2x$ from $x=0$ to $x=1$ and n equal subintervals where the function is evaluated at left end points of each subinterval.

(b)

To determine

To calculate: The area of the second rectangle under the curve of the function $y=2x$ from $x=0$ to $x=1$ and n equal subintervals where the function is evaluated at left end points of each subinterval.

(c)

To determine

To calculate: The area of the $i\text{th}$ rectangle under the curve of the function $y=2x$ from $x=0$ to $x=1$ and n equal subintervals where the function is evaluated at left end points of each subinterval.