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integrate (1+x2)/(1-2x2cosα + x4) α belongs to (0,∏) w.r.t x
Hi Suchita,
Please note, this is a standard integration which is integrated as follows.
Divide Nr and Dr by x2, and then write the denominator as,
(x-1/x)2 + 2 - 2cos2α.
Now make the substitution x-1/x = t, so that
1+1/x2 dx = dt
And the integral is of the form 1/(t2 + a2) dt ------ where a2 = 2-2cos2α.
And this is an integral, which is integrated by the standard formula of tan-1(x/a).
Hope that helps.
All the best,
Regards,
Ashwin (IIT Madras).
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