Solutions - 0060-07

(1) Denominator has degree 3, numerator has degree 2, therefore long division is not necessary.

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(2) Write the partial fractions general form equation:

Notice that is an irreducible quadratic (cannot be factored). So we have:

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(3) Solve for constants:

Cross multiply:

Plug in , obtain:

Expand RHS:

Comparing terms, obtain: and thus .

Comparing constant terms, .

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(4) Integrate by terms:

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Note A: For the last term, use the formula: