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Calculus · INT

Integrate Rational Functions via Partial Fraction Decomposition

Decompose P(x)/Q(x) into partial fractions. Integrate each term separately (often producing ln|x−r| terms).

CalculusCommon Core FUN-6.FINTVerified correct ✓

Worked examples

Use partial fraction decomposition to evaluate ∫_5^8 1 / ((x − (-8))(x − 3)) dx. Round to 4 decimal places.
Answer: 0.0644
Use partial fraction decomposition to evaluate ∫_4^8 1 / ((x − (-7))(x − 2)) dx. Round to 4 decimal places.
Answer: 0.0876

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