Rectangle f ( x ) = 3 x 2) Area From * = 4 to 5 [ ( 4 ) = 48 1$ 48= 48 From x = 5 to 6 $ ( 5 ) = 75 75 From * = 6 to 7 $ ( 6 ) = 108 108 From * = 7 to 8 $ ( 7 ) = 147 147 From X - 8 to 9 $ ( 8 ) = 192 192 From * = 9 to 10 \\ [ ( 9 ) = 243 243 Total Question# 2 Here , is what 10 rectangles look like . And the coverage looks better . Let's compute the new* estimate based on 10 rectangles . Since the area goes from 4 to 10 , and there are 10 rectangles . the base of each will now be ( 10 - 4) / 10 = 6 / 10 = 0.6 The base of each is 0.6 and height is still f ( x ) on the left corner . ( I rounded f ( x ) to integers , and the Area to one decimal place . ) Question # 3 : What is the area of the 7th rectangle ?" Question $ 4 : Using 10 rectangles , what is the estimate of the area under the curve