Approximate Area under Curve

• -49

• 49

• 91/2

• 91

• -91/2

Tags

CCSS.HSS.MD.A.2

Evaluate

Based on the table, use a left Riemann sum and 4 sub-intervals to estimate the Area under the curve. (Choose the correct set-up.) 

• 5(3) + 1(4) + 2(5) + 1(7)
• 5(4) + 1(5) + 2(7) + 1(6)
• 5(3) + 6(4) + 8(5) + 9(7)
• 0(3) + 5(4) + 6(5) + 8(7)

Find the right-hand Riemann Sum, with three sub-intervals indicated by the table.

• 28

• 16

• 34

• 21

Use a midpoint Riemann Sum to approximate the area between 0 to 3 with 3 subintervals.

• 14

• 7

• 26

• 11

Find the trapezoidal sum, with three sub-intervals indicated by the table.

• 23 meters

• 16.5 meters

• 34 meters

• 28.5 meters

• 17

• 44

• 53

• 15

Use the function values in the following table and left reimann sum to approximate the integral from x=0 to x=6 with n=6.
x:      0     1     2     3      4     5      6  
f(x): 12   10    9    11    13   16    18

• 71
• 74
• 77
• 78

• 40
• 32
• 64
• Not possible

• -1
• -2
• 1/2
• -1/2