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Solution to a integration problem

B.Sudhakar
31/01/2017 0 0

∫ x^4 / ( x² + 1 ) dx

As the degree of numerator is higher than that of the denominator, let's divide x^4 by ( x² + 1 ).

= ∫ x² - 1 + 1/(x² + 1 ) dx 

= ∫ x² dx - ∫1•dx + 1/ ( 1 + x² ) dx  

= [ ( x³ / 3 ) - ( x )  + tan‾1 ( x ) + C ]

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