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integrate (5x4+4x5)/(x5+x+1)2 w.r.t x
Hi Suchita,
The integral can be written as
{x4(5+4x)}/{x10(1+1/x4+1/x5)2}
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,
Regards,
Ashwin (IIT Madras).
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