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visits member for 2 years, 4 months
seen Jul 9 at 10:24

Jul
2
awarded  Curious
Apr
4
accepted An integral inequality related to Taylor expansion
Mar
17
asked Prove $f$ not continuous at SEEMOUS Contest
Mar
3
asked Limits of Integral $\lim\limits_{n\to\infty}\int\limits_a^b\sqrt[n]{f^n(x)+g^{n}(x)}dx.$
Sep
30
awarded  Informed
Jul
21
awarded  Nice Question
Jun
11
awarded  Yearling
Jun
3
comment Evaluate $\int\limits_0^1\frac{(1-x)e^x}{x+e^x}\,dx$
@julien: I wish I could evaluate it exactly and represent it in natural form.
Jun
3
asked Evaluate $\int\limits_0^1\frac{(1-x)e^x}{x+e^x}\,dx$
May
17
awarded  Caucus
Apr
17
comment Find maximum of the function $f(x)=\dfrac{e^{\frac{2x}{x+1}}-1}{x}$
No maximum found when $x\geq 0$.
Apr
16
accepted Find norm of the integral operator
Apr
15
comment Find norm of the integral operator
I tried to prove that $||A||=\sup\limits_{t\in[0,1]}\int\limits_0^1e^{-ts}ds=\sup\limits_{t\in [0,1]}\frac{1-e^{-t}}{t}$. But I can't find supremum. I guess that supremum equals 1.
Apr
15
comment Find norm of the integral operator
i tried but i can't find $\sup\limits_{t\in[0,1]}\frac{1-e^{-t}}{t}$.
Apr
15
asked Find norm of the integral operator
Apr
7
asked An integral inequality related to Taylor expansion
Dec
17
asked Uniqueness Theorem for ODE
Dec
17
comment Lipschitz of multifunction of F
$F$ is Lipschitz with respect to the Hausdorff distance.
Dec
16
comment Lipschitz of multifunction of F
You can find in the following link: en.wikipedia.org/wiki/Multivalued_function
Dec
15
asked Lipschitz of multifunction of F