Solutions - 0060-08

(1) Write the partial fractions general form equation:

Observe that appears in degree 3 in the integrand, so we have one term for each power up to 3 in the partial fraction decomposition.

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(2) Solve for constants:

Cross multiply:

Plug in , obtain so .

Plug in , obtain .

Plug in , obtain:

Plug in , obtain:

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(3) Integrate each term:

Optional simplification: