Approximating Area Riemann Sums

• the estimate will be too big

• the estimate will be too small

• the estimate will be exactly the same as the actual integral

• 0.25

• 0.5

• 1

• 3

• 0

• 1

• 1.5

• 4

• 3.5

• 4

• 5

• 6

• left-endpoint

• right endpoint

• midpoint

• trapezoids

If we use the rectangles shown to estimate the integral, how will the estimate compare to the actual integral?

• the estimate will be too big

• the estimate will be too small

• the estimate will be exactly the same as the actual integral

• 0

• 1

• 1.5

• 6

• 0

• 0.5

• 1

• 1.5

• 3.5

• 4

• 5

• 6