W03 Stepwise

Due date: Thursday 1/29, 11:59pm

Partial fractions

01

01

Distinct linear factors

Compute the integral:

$$\int \frac{1}{(x+2)(x-3)}dx$$

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Solution

Solutions---0060-01

02

02

Long division first

Compute the integral:

$$\int \frac{2x^3+3x^2+7x+4}{x+1}dx$$

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Solution

Solutions---0060-02

03

03

Repeated factor

Compute the integral:

$$\int \frac{1}{x{(x-1)}^2}dx$$

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Solution

Solutions---0060-03

Simpson’s Rule

04

01

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.

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Solution

Solutions---0070-01