AP Calc BC Section 4.2 Definite Integrals RAM practice

What does picture represent?

• Left Riemann Sum

• Right Riemann Sum

• Middle Riemann Sum

• Trapezoidal Sum

Evaluate the definite integral.

• 3
• 9/2
• 9
• Not possible

Tags

CCSS.HSA.APR.A.1

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

• Overestimate
• Underestimate
• Exact Solution
• Unable to Determine

Using 5 subintervals, calculate the distance traveled using a left sum.

• 360

• 420

• 396

• 390

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

Evaluate the definite integral.

• 40
• 20
• 10
• Not possible

• a. 43
• b. 130/3
• c. 40
• d. 19/3

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

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

What is the value of the Riemann sum?

• 8

• 10

• 11

• 12

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

• 1

• 2

• 0.5

• 3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Evaluate

∫₀² f(x) dx

• 4

• -4

• 4 + 2π

• -4 - 2π

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2