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 ...

Nov 27, 2020 · Evaluating $\cos (i)$ Ask Question Asked 5 years, 2 months ago Modified 5 years, 2 months ago

Mar 24, 2017 · A lot of questions say "use polar coordinates" to calculate limits when they approach $0$. But is using polar coordinates the best way to evaluate limits, moreover, prove that they exist? Do they

Apr 16, 2025 · Evaluating an integral through analytic continuation? Ask Question Asked 10 months ago Modified 10 months ago

Oct 6, 2022 · Unfortunately the change of variables is wrong. $\lim \tan x$ as $x \rightarrow \pi/2$ does not exist- from the left $tan x$ goes to $\infty$ but from the right $\tan ...

Sep 11, 2023 · Evaluating a finite series Ask Question Asked 2 years, 5 months ago Modified 2 years, 2 months ago

Nov 17, 2019 · I am hoping someone can help me check my work here. I need to evaluate this limit: $$\lim_ {x \to \pi/2} (\sin x)^ {\tan x}$$ Since $\sin x$ and $\tan x$ are continuous functions, using the …

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

Oct 13, 2015 · When evaluating a limit expression, how do we know whether to evaluate the Right hand limit and left hand limit separately OR evaluate the "two-sided-limit"?

Prove the Correctness of Horner's Method for Evaluating a Polynomial Ask Question Asked 12 years, 7 months ago Modified 6 years ago