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7.4 Partial Fractions

7.4 Partial Fractions. We integration!. Tips for Integration. Try anti-differentiation first Try u-substitution Check for Inverse trig forms If there is an extra variable in the denominator, try completing the square Integration by Parts Check for the common forms

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7.4 Partial Fractions

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  1. 7.4 Partial Fractions We integration!

  2. Tips for Integration • Try anti-differentiation first • Try u-substitution • Check for Inverse trig forms • If there is an extra variable in the denominator, try completing the square • Integration by Parts • Check for the common forms • Integration by Partial Fractions • Try 1 of the 3 cases • Use Algebra! • Don’t be afraid to mix multiple techniques in 1 problem!

  3. 3 Cases for Partial Fractions • Case I – The denominator has distinct factors • Case II – The denominator has repeating factors • Case III – The denominator has a quadratic that won’t factor • If the degree in the numerator is higher than the degree in the denominator, use long division first.

  4. Case I – The denominator has distinct factors

  5. Case II – The denominator has repeating factors

  6. Case III – The denominator has a quadratic that won’t factor

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