Riemann sums

What does this picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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

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

• Distance
• Displacement
• Velocity
• Acceleration

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

• 20

• 14

• 10

• 8

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

• 12

• 9

• 10

• 5

Tags

CCSS.HSG.MG.A.1

Another word for 'integral' is .. .

• Constant
• Derivative
• Antiderivative
• Theorem

What does picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

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

• 176

• 352

• 420

• 488

Which definite integral models the area highlighted above?

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