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 · Others answered about how cos(i) c o s (i) can be calculated using Euler's formula. But I will elaborate from a different perspective. We know that cosine function can be defined …

Evaluating ∫π 0 log(sin x)dx ∫ 0 π log (sin x) d x using Riemann sums Ask Question Asked 13 years, 9 months ago Modified 10 months ago

Jul 10, 2023 · Evaluating a Logarithmic Integral Ask Question Asked 2 years, 6 months ago Modified 2 years, 5 months ago

I've been bored and came across in my book a pretty straightforward series problem, namely to determine the convergence of $$ \\sum_{n = 1}^{\\infty} \\left[\\sin ...

Sep 11, 2023 · Is there a way to evaluate this finite series in closed form? It would be trivial if there was only the binomial, or only the fraction, but with both of them I'm stuck. Any hints please? Alright …

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 …

Oct 20, 2015 · The rule for evaluating limits of rational functions by dividing the coefficients of highest powers Ask Question Asked 10 years, 3 months ago Modified 10 years, 3 months ago

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

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