calculus - Evaluating $\int \frac {1} { {x^4+1}} dx$ - Mathematics ...
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 ...
Evaluating $\cos (i)$ - Mathematics Stack Exchange
Nov 27, 2020 · Evaluating $\cos (i)$ Ask Question Asked 4 years, 11 months ago Modified 4 years, 11 months ago
Evaluating $ \\lim_{x \\to 0} \\frac{e - (1 + 2x)^{1/2x}}{x} $ without ...
Sep 11, 2024 · The following is a question from the Joint Entrance Examination (Main) from the 09 April 2024 evening shift: $$ \lim_ {x \to 0} \frac {e - (1 + 2x)^ {1/2x}} {x} $$ is equal to: (A) …
Evaluating $\int_ {-\infty}^ {\infty}\frac {1} {\left (e^ {t}-t\right ...
Feb 21, 2025 · $$\int_ {-\infty}^ {\infty}\frac {1} {\left (e^ {t}-t\right)^ {2}+\pi^ {2}}dt=\frac {1} {1+\Omega}$$ I have recently become interested in the W-Lambert function which ...
Evaluating $\\prod_{n=1}^{\\infty}\\left(1+\\frac{1}{2^n}\\right)$
Sep 13, 2016 · Compute:$$\prod_ {n=1}^ {\infty}\left (1+\frac {1} {2^n}\right)$$ I and my friend came across this product. Is the product till infinity equal to $1$? If no, what is the answer?
Evaluating $\sum_ {i=1}^ {\infty}\frac { (i\ln 2)^i} {2^ii!}$
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Evaluating $\\int_{2}^{5}\\sqrt{\\tan{\\left(\\frac{\\csc^{-1}(x)}{2 ...
Feb 3, 2024 · Complexification formulas are great and it seems like this simplifies the right away. You just have to be careful that when you draw triangles and take square roots the signs make …
Evaluating a finite sum. - Mathematics Stack Exchange
Dec 9, 2023 · Evaluating a finite sum. Ask Question Asked 1 year, 11 months ago Modified 1 year, 11 months ago
Evaluating the limit using Taylor Series - Mathematics Stack …
Dec 7, 2018 · 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 …
Evaluating $ \lim\limits_ {n\to\infty} \sum_ {k=1}^ {n^2} \frac {n} {n ...
How would you evaluate the following series? $$\\lim_{n\\to\\infty} \\sum_{k=1}^{n^2} \\frac{n}{n^2+k^2} $$ Thanks.