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How to evaluate the integral of 1/(1+x^4) ?

 

I am having problems trying to figure out a way to solve for the integral of 1/(1+x^4) ; attempted some form of substitution but it didn't work out. Could you advise on getting started properly?

Student X


You can consider factorization of the quartic polynomial, followed by the employment of partial fractions to further break things down. Thereafter, it shouldn't be all that hard to continue the solving process.

Here's what I mean:

start2.png

Hope this helps. Peace.

Best Regards,

Mr Koh