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Definite Integrals

Definite Integrals

Example 1

Let f (x) = x2 + 1 and let R be the region between the graph of f and the x-axis on [0,4]. Use a trapezoid sum with 2 sub-intervals to estimate the area of R.

Is this an over-estimate or an under-estimate?

Example 2

Let f (x) = x2 + 1 and let R be the region between the graph of f and the x-axis on [0,4]. Use a trapezoid sum with 4 sub-intervals to estimate the area of R.

Is this an over-estimate or an under-estimate?

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