Riemann Sum

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)

Tags

CCSS.HSA.SSE.A.1

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

• 28

• 16

• 34

• 21

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.2

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

What does this 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

Tags

CCSS.HSF.IF.B.4

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)

Tags

CCSS.HSF.IF.B.4

CCSS.HSA.SSE.A.1

• 176

• 352

• 420

• 488

• 81/2

• 79/2

• 120

• 40

What is the value of the Riemann sum?

• 8

• 10

• 11

• 12

Use the function values in the following table and the Trapezoidal Rule with n=6 to approximate the integral from x=0 to x=12.
x:     0     2     4     6      8    10    12  
f(x):  7   11    20   25    18   14     9

• 96
• 102
• 190
• 192