integration using partial fractions

Integration by partial fractions

Integration formulae

first of all check if degree of numerator is less than degree of denominator
else perform long division.

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you might then have to restore to completion of squares in some cases after the manipulation
in some cases the manipulation can be done through inspection

Examples

* ∫ dx / [ (x-2) (1 + x²)]
integral using partial fractions

*integral of (x² +1) / [(x+3)(x-1)²]
integration using partial fraction







PAGE 1 BASIC INTEGRATION

PAGE 2 INTEGRATION BY SUBSTITUTION 
PAGE 3 INTEGRATION BY COMPLETION OF SQUARES

 PAGE 4 INTEGRATION BY PARTS

PAGE 5 INTEGRATION BY MANIPULATION OF NUMERATOR IN TERMS OF DENOMINATOR






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