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pawel
  • Member for 3 years, 2 months
  • Last seen more than 1 year ago
6 votes
2 answers
93 views

Solution verification of the improper integral $\int_1^{+\infty}\frac{\cos^2{t}}{t}\,dt$

5 votes
2 answers
276 views

Limit of the integral of a function in $[0,x]$ with de l'Hopital

3 votes
0 answers
43 views

Limit of an integral where (in my opinion) it is not possible to apply de l'Hopital rule

3 votes
1 answer
195 views

How understand the metric of $S^2$ by definition of a spherically symmetric spacetime

3 votes
1 answer
70 views

Continuity of a piecewise integral function

2 votes
2 answers
83 views

Study the series of $\int_0^{\frac{1}{n^a}}\sin{(\sqrt[3]{x})}\,dx$ with respect to $a>0$

2 votes
1 answer
253 views

Order of a non-linear autoregressive exogenous (NARX) model

2 votes
0 answers
117 views

Remark inside a proof

2 votes
2 answers
508 views

Sup and inf of $A=\{a_n:=\frac{(n^2+(-1)^n(n-1)^2}{3n^{(1+(-1)^n)}+2n},\ n\in\mathbb{N}\setminus\{0\}\}$

2 votes
1 answer
87 views

Compute the area delimited by a curve in implicit form (solution verification)

2 votes
2 answers
129 views

How plot $\sqrt{|x|}+\sqrt{|y|}=1$

2 votes
0 answers
42 views

Extend continously an integral function

2 votes
1 answer
192 views

Meaning of tangent space to $\mathbb{R}$

2 votes
2 answers
175 views

Property of a covariant derivative of a vector field along a curve

2 votes
2 answers
256 views

Lyapunov function for a non linear 3 dimensional system

2 votes
1 answer
74 views

Prove that the limit $\lim_{x\to 0^+}\frac{1}{x}\sin{(\frac{\pi}{x})}$ does not exist

2 votes
1 answer
50 views

Find a lower bound of $-\frac{1}{4}\sqrt{(1-2a+x)^2-8(-3-4a-3x-2ax)}-\frac{1}{4}(1-2a+x)$

2 votes
1 answer
109 views

Limit of an integral as $x\to 0$

1 vote
2 answers
86 views

Proof of surjectivity of a polynomial

1 vote
1 answer
66 views

Verify the hypothesis of de l'Hopital

1 vote
1 answer
51 views

Verify to apply de L'hopital ($x\to x_0$)

1 vote
1 answer
208 views

Maximum of a convex function in an interval

1 vote
1 answer
252 views

Indirect Lyapunov method for exponential stability

1 vote
1 answer
74 views

Integral of a function in the 1st/3rd quadrant

1 vote
1 answer
64 views

Differential of $0$-form

1 vote
2 answers
73 views

Proof that $\frac{2}{e}<\int_{-1}^1e^{-x^2}\, dx<2$

1 vote
0 answers
55 views

Improper integral $\int_{\frac{3}{2}}^\infty\frac{\log{(1+\frac{1}{x}})}{|x-2|^{\alpha+2}}\, dx$, problem with absolute value

1 vote
0 answers
28 views

$\cosh^{-1}({\frac{x-3}{\sqrt{2}}})=\log\Bigg({\frac{x-3}{\sqrt{2}}+\sqrt{(\frac{x-3}{\sqrt{2}})^2-1}}\Bigg)$

1 vote
1 answer
72 views

$\lim_{x\to 0}\frac{\int_0^{x^2} f(t)\, dt}{x}=0$ without continuity

1 vote
1 answer
56 views

Clarifications on $\sum_{k=1}^{+\infty} a_n$ with $a_n=\int_0^{\frac{1}{n^a}}\sin{\sqrt[3]{x}}\, dx$ with $a>0$