AP Calculus Unit 5 (Integrals Intro and Riemann Sums)

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

For which type of area approximation can you factor out a ∆x/2 as long as your shapes are all equal width?

• Left Hand Riemann Sum
• Midpoint Approximation
• Trapezoidal Approximation
• Right Hand Riemann Sum

For a function that is strictly decreasing, a trapezoidal approximation will be which of the following:

• Underestimate
• Overestimate
• Exact Solution
• Unable to Determine

If an increasing or decreasing function is concave up, a Trapezoidal approximation is which of the following:

• Underestimate
• Unable to Determine
• Overestimate
• Exact Solution

A midpoint approximation will be the average of the left and right hand Riemann Sums.

• Always
• Sometimes
• Never
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