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Grade: 12 
        Integration of x^4/(x-1)(x^2+1)?
3 years ago

Answers : (2)

Harsh Patodia
IIT Roorkee
askIITians Faculty
906 Points 
							PFA
228-2027_6.PNG
3 years ago
mycroft holmes
272 Points 
							
We can reduce the effort substantially......


\frac{x^4}{(x-1)(x^2+1)} = \frac{x^4-1+1}{(x-1)(x^2+1)}


= \frac{x^4-1}{(x-1)(x^2+1)}+ \frac{1}{(x-1)(x^2+1)}


=x+1+ \frac{1}{2} \left( \frac{1}{x-1} + \frac{x+1}{x^2+1}\right )


This is easy to integrate
3 years ago
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