Page 177 - Calculus Workbook For Dummies

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Chapter 9: Getting into Integration

1. a. Estimate the area under f x = lnx from 2. Approximate the same area again with 10
^ h
1 to 6 (as in the example), but this time midpoint rectangles.
with 10 left rectangles.
Solve It
b. How is this approximation related to the
area obtained with 10 right rectangles?
Hint: Compare individual rectangles
from both estimates.
Solve It

3. Rank the approximations from the example 4. Use 8 left, right, and midpoint rectangles to
and problems 1 and 2 from best to worst approximate the area under sinx from
and defend your ranking. Obviously, you’re 0 to π.
not allowed to cheat by first finding the
exact area with your calculator. Solve It

Solve It