Stepwise problems - Thu. 11:59pm
Partial fractions
01
Distinct linear factors
Compute the integral:
02
Long division first
Compute the integral:
03
Repeated factor
Compute the integral:
Simpson’s Rule
04
Simpson’s Rule
The chart above shows a record of ambient temperatures measured each 15 minutes over 3 hours. Compute the approximate average temperature using Simpson’s Rule. You may use a calculator to resolve the arithmetic in your final expression.
Regular problems - Sat. 11:59pm
Partial fractions
05
Partial fractions - irreducible quadratic
Compute the integral:
06
Partial fractions - long division
Compute the integral:
07
Partial fractions - big generic
Give the generic partial fraction decomposition (no need to solve for the constants):
08
Partial fractions - linear and quadratic
Compute the integral:
09
Partial fractions - repeated factor
Compute the integral:
Simpson’s Rule
10
Simpson’s Rule for volume by shells
Use Simpson’s Rule with
to compute the volume of the solid obtained by revolving the pictured region about the -axis. Can you do it without using a calculator? ![]()
11
Area of a garden bed
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