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(a)

The integration function is $\"\"$ .

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The denominator has two distinct linear factors.

The decomposition of the integration function is $\"\"$ .

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(b)

The integration function is $\"\"$ .

The degree of the numerator is greter than or equal to degree of denominator then perform the long division method.

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The denominator of the function has no factors.

Thus, the decomposition of the integration function is $\"\"$ .

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(a)

The decomposition of the integration function is $\"\"$ .

(b)

The decomposition of the integration function is $\"\"$ .