Definite Integrals and FTC

  ∫₁³ 5x² dx

• a. 43
• b. 130/3
• c. 40
• d. 19/3

Evaluate the definite integral.

• 8 pi
• 16 pi
• 128 pi
• Not possible

• 40
• 32
• 64
• Not possible

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

• Overestimate
• Underestimate
• Exact Solution
• Unable to Determine

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

• Overestimate
• Underestimate
• Unable to Determine
• Exact Solution

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

• 360
• 420
• 396
• 390

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

What does C represent in an antiderivative?

• A variable
• A constant
• None of these
• Unknown

• 8

• -8

• 0

• 4

• -4

• 4

• 8

• 14

• The area from the curve to the x-axis from x = a to x = b

• The rate at which f(x) is changing from x = a to x = b

• The area from the curve to the y-axis from x = a to x = b

• The volume when the curve is rotated about the x-axis from x = a to x = b