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Unformatted text preview: Example 0.1. Z x + 3 ( x + 2) 2 dx Example 0.2. Z x 2 ( x1)( x 2 + 2 x + 1) dx Rule 3: If the denominator has an irreducible quadratic factor ax 2 + bx + c , the quadratic factor contributes a term Ax + B ax 2 + bx + c to the partial fractions decomposition of p ( x ) q ( x ) . Example 0.3. Z 2 x 2x + 4 x 3 + 4 x dx Example 0.4. Z 2 s + 2 ( s 2 + 1)( s1) 2 ds Example 0.5. Determine the coeﬃcient on the ln( x 2 + 1) term in the evaluated integral Z 2 x4 x 3 + x dx ....
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 '06
 EDeSturler
 Division, Fractions, Remainder, ax

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