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

600 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? 400

11

Area of a garden bed

500