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 ...

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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

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

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May 28, 2021 · I was following an explanation of the gamma function and everything made sense until the author evaluated the function at 1/2. The $\Gamma$-function is defined as the following integral: …