Solutions - 0070-02

(1) Recall shells formula:

(2) Interpret:

Bounded above by . Bounded below by -axis.

Bounded left by . Bounded right by .

Obtain:

(3) Create table of values to apply Simpson’s Rule:

(4) Recall Simpson’s Rule formula:

Here since in this formula represents the integrand values.

Note that .

Plug in:

Therefore:

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