to find integration of (1+(1/x*x))/(x*x+(1/(x*x))+3)

Question

Arun · Answer

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 · Answer

Dear student Hope your doubt gets cleared Please refer the solved examples of the below link https://www.askiitians.com/iit-jee-indefinite-integral/solved-examples-of-indefinite-integral.html

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to find integration of (1+(1/xx))/(xx+(1/(x*x))+3)

to find integration of
(1+(1/xx))/(xx+(1/(x*x))+3)

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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)

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to find integration of (1+(1/xx))/(xx+(1/(x*x))+3)

to find integration of
(1+(1/xx))/(xx+(1/(x*x))+3)