Riemann Sum

Which of the following definite integrals represent the area of the shaded region? (Scaled by ones)

For a function that is strictly increasing, a right hand Riemann Sum is which of the following:

• Overestimate
• Underestimate
• Unable to Determine
• Exact Solution

Use the function values in the following table and right 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

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

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

Tags

CCSS.HSF.LE.B.5

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

What does picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

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

• 14

• 7

• 26

• 11

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.)

• 2(3) + 2(4) + 2(5) + 2(7)

• 2(4) + 2(5) + 2(7) + 2(6)

• 0(3) + 2(4) + 4(5) + 6(7)

• 0(3) + 5(4) + 6(5) + 8(7)

• 17

• 44

• 53

• 15