Web Reference: I am trying to evaluate the integral $$\int \frac {1} {1+x^4} \mathrm dx.$$ The integrand $\frac {1} {1+x^4}$ is a rational function (quotient of two polynomials), so I could solve the integral if I ... I'm trying to evaluate the following definite integral but am unsure how to handle the absolute value efficiently over the given interval. Any hints on finding the points where the expression inside Dec 7, 2018 Β· I see now how I can go about evaluating the limit itself although I still find the concept a little bit vague, as in considering a specific order for the expansion and then applying it for all the functions while leaving the rest of the series behind, it'll probably start making more sense in a few more examples.
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