Question

Use upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width).

y = √x

Answer 1

Step 1 :

The function is .

Area of the function = sum of the areas of the four rectangles.

Sub intervals are four.

From the graph each sub interval needs to be units.

Upper sums : .

Step 2 :

Lower sums :

Average of upper and lower sums is :

The approximate area of the region is 0.643 square units.

Solution :

The approximate area of the region is 0.643 square units.