Integral of (x+2)/(x^4 + 8x^3 + 16x^2 + 1)

[@Chikulamayembe57]

You are brilliant!

[@holyshit922]

Here substitution works but partial fraction decomposition is general approach to the integration of rational function

[@Arandomguy1yl]

Try this one e^-(x²+a²/x²) dx From 0 to infinity Hint, let that be I(a), find I'(a) then substitute a/x=u Find relationship between I'(a) and I (a), solve the diff equation and put I(0) just to get eliminate the constant, that just gives the Gaussian integral e^-x²dx, now find I(a)

[@seyda4184]

Thanks 👍

[@dineshrathore2559]

It's a standard jee mains buddy. Its even low level