to find integration of(1+(1/x*x))/(x*x+(1/(x*x))+3)
to find integration of
(1+(1/x*x))/(x*x+(1/(x*x))+3)
Mahesh rawat , 6 Years ago
Grade 12
Integral Calculus> to find integration of (1+(1/x*x))/(x*x+(...
2 Answers
Arun
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
Dear student
Hope your doubt gets cleared
Please refer the solved examples of the below link
Hope your doubt gets cleared
Please refer the solved examples of the below link
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