integrate (5x 4 +4x 5 )/(x 5 +x+1) 2 w.r.t x

integrate (5x4+4x5)/(x5+x+1)2 w.r.t x

Grade:12th Pass

1 Answers

Ashwin Muralidharan IIT Madras
290 Points
11 years ago

Hi Suchita,


The integral can be written as


Now make the substitution 1+1/x4+1/x5 = t

and you will get (5+4x)/x6 dx = dt.

And the integral reduces to ∫1/t2 dt.


And after that it is simple and direct integration, and that solves the problem.


Hope that helps.


All the best,


Ashwin (IIT Madras).

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