AP Calculus AB Test Definite Integrals Must show all your work!

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)

Evaluate the definite integral.

• 3

• 9/2

• 9

• Not possible

• a. 24

• b. -8

• c. -10

• d. 22

Find the area under the curve y =3x²-2x from x= 1 to x =5.

• 100

• 99

• 150

• 152

Evaluate the definite integral.

• 40

• 20

• 10

• Not possible

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

• Overestimate

• Underestimate

• Unable to Determine

• Exact Solution

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

• Overestimate

• Underestimate

• Exact Solution

• Unable to Determine

Find the area under a curve defined by the equation 5x⁴+3x+7 between the x values 0 and 4.

• 1200

• 1/12

• 1134

• 1076

• 12/3

• 6.5

• 5.5

• 11/3

_{Evaluate the integral}

• 30/3

• 31/3

• 29/3

• 32/3