Cortizol

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29 Answers

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8
Find $\lim\limits_{n \rightarrow \infty}\dfrac{\sin 1+2\sin \frac{1}{2}+\cdots+n\sin \frac{1}{n}}{n}$
7
Find $\sum\limits_{k\, \text{ odd}} \frac{2(k^2-1)}{k^4+k^2+1}$
6
Evaluating $\int \frac{1}{{x^4+1}} dx$
4
Why is it true that $\mathrm{adj}(A)A = \det(A) \cdot I$?
3
Integrate rational function $\frac{x^2}{1+x^4}$
3
Two proofs concerning Hölder's inequality
3
Möbius transformations on $D$ such that $f(D)=D$
3
Value of $\sum_{k=1}^{\infty}\frac{1}{k^2+a^2}$
2
Evaluate $\int_0^{\pi} \frac{\sin^2 \theta}{(1-2a\cos\theta+a^2)(1-2b\cos\theta+b^2)}\mathrm{d\theta}, \space 0<a<b<1$
1
Property of Lebesgue Integration
1
How do I solve this ordinary differential equation?
1
How do I evaluate $\lim_{n \rightarrow \infty} \frac{1\cdot2+2\cdot3 +3\cdot4 +4\cdot5+\ldots}{n^3}$
1
countably additive measure and convergence.
1
Show that $\mu^{*} (A) = \mu (A)$ if $\mu$ is countably additive
1
How will the image of upper half plane $\mathrm{Im}(z)>0$ be under the LFT $w=\frac{3z+i}{-iz+1}$?
1
Show $\int_X f d\nu = \int_X fgd\mu$ if $\nu(E)=\int_E g d\mu$ .
1
Group of order $24$ is not simple
1
bernoulli equations1
1
Express $\cos(5t)$ with the help of Euler formula
1
Radon Nikodym derivative proof
1
Differential equation $y'=\frac{1-xy}{y-x^2}$
1
Help understanding the solution to #83 Section 9.1 Calculus 9e, by Larson.
1
general solution of the differential equation $\frac{dy}{dx} = \frac{-k}{x}{(y-4)}{(y-2)}$
1
Prove $1+\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{3}}+\dots+\frac{1}{\sqrt{n}} > 2\:(\sqrt{n+1} − 1)$
1
Why don't Venn diagrams count as formal proofs?
0
Improper integral depending on three parameters
0
Find the Möbius transformation that…
0
Show that the sum of measurable simple functions are measurable.
0
convex function right left derivatives