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
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 ...
algebra precalculus - Evaluating $\frac {1} {a^ {2025}}+\frac {1} {b ...
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Evaluating $\lim_ {x\to\pi/2}\sqrt {\frac { {\tan x-\sin\left (\tan ...
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Evaluating $\int_0^1 \frac {\arctan x \log x} {1+x}dx$
Jun 28, 2016 · Evaluating $\int_0^1 \frac {\arctan x \log x} {1+x}dx$ Ask Question Asked 9 years, 4 months ago Modified 1 month ago
Evaluating $\\int_0^{\\infty}\\frac{\\ln(x^2+1)}{x^2+1}dx$
How would I go about evaluating this integral? $$\int_0^ {\infty}\frac {\ln (x^2+1)} {x^2+1}dx.$$ What I've tried so far: I tried a semicircular integral in the positive imaginary part of the …
Evaluating $\\int_0^1 \\frac{x \\arctan x \\log \\left( 1-x^2\\right ...
Expanding the inverse tangent in logarithms, writing $\frac {x} {1+x^2}=\Re\frac1 {x-i}$, and expanding $\log (1-x^2)=\log (1-x)+\log (1+x)$, each of the resulting ...
Evaluating $\int_0^ {2\pi}\frac {dt} {\sqrt [4] {P (\cos t,\sin t)}}$
$$ {\LARGE\int}_0^ {2\pi}\frac {dt} {\sqrt [ {\LARGE 4}] {A\Big (\sin^8t+\cos^8t\Big)+B\Big (\sin^6t\cos^2t+\sin^2t\cos^6t\Big)+C~\sin^4t\cos^4t}}~=~?$$
Evaluating $\int R (X) \sin (x) dx$ with residue theorem.
Evaluating $\int R (X) \sin (x) dx$ with residue theorem. Ask Question Asked 9 years, 5 months ago Modified 5 years, 5 months ago
Evaluating $\lim_ {x\to \infty} \frac {f^ {-1} (2021x)-f^ {-1} (x ...
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