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Solution to a integration problem

B.Sudhakar
17/01/2017 0 1

∫ x² /( x - 1) dx 

Let's subtract and add 1 to the numerator

= ∫ {( x² - 1) + 1} / ( x - 1 ) dx 

= ∫ {( x + 1) • ( x - 1) / ( x - 1)} + {1 / ( x - 1)}  dx 

= ∫ { ( x + 1) + 1/ ( x - 1) } dx

= ∫ x dx + ∫1• dx + ∫1/( x - 1) dx 

= x²/2 + x + ln | x - 1 | + C

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Karthik | 18/01/2017

Thanks for giving another method of solving. We have used U substitution method all these days

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