Integral of 1/(x^4+1)

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Wow what a beautiful solution! Too much ingenuity and practicality! Congratulate and thank you for teaching me something new.

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A great novelty is that it has solved the difficult task "without substitute variables". The numerator showed the result of the function to be derived in parentheses of the denominator. I first saw a result called "ln" without hiberbolic.

prollysine
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Really a good and ingenious way of solving this Problem

DhirajKumar-rxhi
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How can we add x^2 and without adding -x^2

xxff
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The other method is to factorize 1+x^4 into and solve the integral by partial fractions.

ernestschoenmakers
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I think u done this wrong on the second step -ve sign mistake

abhishekkanojia
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Why can't we take 1+1 it is also 2 in second step

xxff