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Jun
24
reviewed Close Calculate definite integral $\int_0^{\pi/2} 3\sin x\cos x/(x^2-3x+2)\; dx$
Jun
24
reviewed Close Taylor series expansion of function $f(x) = \frac{\arcsin(x)}{\sqrt{1-x^2}}$
Jun
24
reviewed Close $\sum a_n$ converges $\iff$ $\sum f(a_n)$ converges
Jun
24
reviewed Close Damped Wave Problem Analysis
Jun
24
reviewed Leave Open How do I find $\frac {x^3}{x(x-3)}$ partial fractions?
Jun
24
reviewed Leave Open Question concerning types, partial elementary maps and universality.
Jun
24
reviewed Close Remainder of $2^{2014^{2013}}$ when divided by $41$
Jun
24
reviewed Close Understanding the multiplication of fractions
Jun
24
reviewed Leave Open ajuda com a solução desta EDO
Jun
24
reviewed Close Sets $A_1,A_2,A_3,…$ with $\dots\in A_3\in A_2\in A_1$
Jun
24
reviewed Leave Open Finding $\int_{\frac{\pi}{6}}^{\frac{\pi}{3}}\frac{1}{1+\sqrt{\tan x}}dx$
Jun
24
comment Limit approach to finding $1+2+3+4+\ldots$
If you're looking for a family of identities which is as nice as the ones you came up with for the other interesting residue class, you need $\eta$ such that $\int_0^\infty x^{3+4k} \eta(x) \, dx=0$ for all $k$. Or you could just content yourself with knowing that for any $k$, you can choose a different $\eta$ (in which case there's probably always some linear combination of, say, $e^{-x}$ and $e^{-2x}$ that'd do the trick)...
Jun
23
revised Evaluate: $\int_0^1 \frac{1-x}{(1+x)\log(x)}\, dx$
edited title
Jun
23
reviewed Approve limit of $\log(x)^{(k+1)}/x$
Jun
23
reviewed Approve How to find coefficient of $x^{12}$ in the expansion of $(1+x+x^2+x^3+…+x^n)^4$
Jun
23
answered How to find coefficient of $x^{12}$ in the expansion of $(1+x+x^2+x^3+…+x^n)^4$
Jun
23
comment Fine the value of $P(n+1)$ given values of $P$ from 1 to $n$
The general method that always works is Lagrange interpolation. In practice, whenever you have a formula for $P(k)$ rather than just arbitrary data, the quickest approach is generally "find a closely related polynomial whose roots you know," as in the accepted answer to the linked problem.
Jun
23
reviewed Leave Open Which of the following subsets of $\Bbb{R}^n$ is compact
Jun
23
reviewed Close Under what $p$, $-1$ is a square in $\mathbf F_p$?
Jun
23
reviewed Leave Open To find $\sigma$ of a normal distribution