Trapezoidal Summations (Riemann Sums)

Use 3 trapezoids to determine the approximate area of the shaded area.

• 12

• 9

• 10

• 5

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

• 23 meters

• 16.5 meters

• 34 meters

• 28.5 meters

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

Use a trapezoidal sum with four intervals from the table to estimate the integral of 0 to 9 of V(t).

• 64

• 67

• 93

• 151/2

Use a trapezoidal sum to approximate the area between 0 to 3 with 3 equal based subintervals.(Hint: you will not need all the rows of the table.)

• 7

• 9

• 11

• 14

Determine  $\int_0^8x^2dx$  using an estimate of 4 equivalent based trapezoids

• 176

• 352

• 420

• 488

Determine  $\int_0^480-x^3dx$  using an estimate of 4 equivalent based trapezoids

• 252

• 300

• 422

• 504