Area Riemann Sums

• 0

• 1

• 1.5

• 6

Based on the table, use a trapezoidal sum of 4 sub-intervals to estimate the area under the curve.

• 32.5

• 40.5

• 78

• 160

What is the approximate area under the curve, using 4 intervals with heights using left values?

• 20

• 14

• 10

• 8

• cos x + C
• tan x + C
• -cos x + C
• -tan x + C

What is the value of the Riemann sum?

• 8

• 10

• 11

• 12

• 176

• 352

• 420

• 488

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

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

• 71

• 74

• 77

• 78

• 252

• 300

• 422

• 504