to find integration of(1+(1/x*x))/(x*x+(1/(x*x))+3)
Mahesh rawat , 4 Years ago
Grade 12
Integral Calculus> to find integration of (1+(1/x*x))/(x*x+(...
2 AnswersArun
Last Activity: 4 Years ago
Dear student
in denominator x^2 + 1/x^2 – 2 + 5
= ( x – 1/x)^2 +( sqrt5)^2
now coming to the Question
put x – 1/x = t
(1 + 1/x^2 ) dx = dt
dt/ t^2 + (sqrt5)^2
= 1/ sqrt(5) tan^-1 (t/sqrt5)
now put t = x – 1/x
Vikas TU
Last Activity: 4 Years ago
Dear student
Hope your doubt gets cleared
Please refer the solved examples of the below link
Hope your doubt gets cleared
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