# Use the function y = 2x from x = 0 to x = 1 and n equal subintervals with the function evaluated at the left-hand endpoint of each subinterval. a)What is the area of the first rectangle? b) What is the area of the second rectangle? c)What is the area of the ith rectangle?

Use the function and n equal subintervals with the function evaluated at the left-hand endpoint of each subinterval.
a)What is the area of the first rectangle?
b) What is the area of the second rectangle?
c)What is the area of the ith rectangle?
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Maciej Morrow

Use the function and n equal sub-intervals with the function evaluated at the left-hand endpoint of each sub-interval.
Obtain the step size as follows.

Then the left-hand endpoint of the sub-intervals will be
The function values at these endpoints will be
a)What is the area of the first rectangle?
Area of the first

$=0$
b)What is the area of the second rectangle?
Area of the second

$=\frac{2}{{n}^{2}}$
c)What is the area of the i th rectangle?
Area of the ith

Hence, the area of the i th rectangle is