October 24th, 2018, 04:54 AM  #11  
Senior Member Joined: Oct 2009 Posts: 784 Thanks: 280  Quote:
$$\int \frac{1  5x^4}{(x^5  x  1)^2}dx$$ In theory it is indeed solvable with partial fractions. Maybe in practice too, I haven't tried it. But it's going to be very complicated because you can't find the explicit roots of the denominator. So I'm not at all sure if the method will work here. However, an easy solution does exist here, a primitive is simply $$\frac{1}{x^5  x  1}.$$  
October 25th, 2018, 11:02 AM  #12  
Senior Member Joined: Jan 2012 Posts: 133 Thanks: 2  Quote:
 
October 25th, 2018, 11:04 AM  #13 
Senior Member Joined: Jan 2012 Posts: 133 Thanks: 2  Oh I see...Actually I wanted to know the numerator which is cubic with constants A, B, C & D. Thanks. This is to be assumed.


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integral, plz, solve 
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