BC Calculus: Chapters 7/8

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7 Terms

1
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Trapezoid Rule

<p></p>
2
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When are left endpoint rectangles overestimates? Underestimates?

L is OVER when f(x) is decreasing, under when f(x) is increasing

3
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When are right endpoint rectangles overestimates? Underestimates?

R is under when f(x) is decreasing, over when f(x) is increasing

4
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When are midpoint rectangles overestimates? Underestimates?

Midpoint rectangles are UNDERestimates when concave DOWN, overestimates when concave UP

5
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When is the trapezoid rule a slight overestimate? Underestimate?

Slight overestimate when concave up, slight underestimate when concave down

6
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what is the “P rule” for improper integrals?

see photo

<p>see photo</p>
7
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what is the comparison theorum?

see photo :)

<p>see photo :)</p>