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12TH•Mathematics•Integration•3.5 Integration by Partial Fractions

Introduction

Decomposing rational fractions into distinct linear, repeated linear, and irreducible quadratic partial fractions.

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Introduction

Rational functions P(x)Q(x)\dfrac{P(x)}{Q(x)} where deg⁡(P)<deg⁡(Q)\operatorname{deg}(P) < \operatorname{deg}(Q) can be decomposed into elementary partial fractions that are directly integrable.

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3.4 Integration by Parts
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3.6 Definite Integrals and Fundamental Theorem of Calculus