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Tuvasbien

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23
What is the derivative of a function of the form $u(x)^{v(x)}$?
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23
$2^x$ is irrational if $x$ is irrational?
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12
evaluate $\int_0^{\pi/2} x^2\log(\sin x)\,dx$
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10
Is the Gaussian density Lipschitz continuous?
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10
How can I integrate $\int_0^1 \bigl(1-x^n\bigr)^{2^n} \mathrm{d}x$?
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8
limit of $u_{n} =\int_{0}^{1} \frac{1}{1+t+t^2+...+t^n} \, \mathrm{d}t$
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8
Divergence of a sequence proof
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8
Show that $\int_0^a \frac{\sin x}{x} dx \leq 1+\log a$ for all $a \geq 1$
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7
Prove or disprove if $\sum_{n=1}^{\infty} a_n $ converges, then $\sum_{n=1}^{\infty} \frac{\left | a_n \right |}{n}$ also converges
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7
Do functions with the same gradient differ by a constant?
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7
Evaluate $\lim\limits_{n\to +\infty}\frac{1}{n^2}\sum_{k=1}^{n} \cot^2\left(\frac{\pi k}{2n+1}\right)$
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7
Finding graph corresponding to $\int_0^{\sqrt{x} } e^{ -\frac{u^2}{x} } du$
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7
How do I know if basic algebra works?
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7
Find $\int_0^e f(x) \ dx$, where $f(y) e^{f(y)} = y$
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7
Upper bound for $\int_0 ^\pi e^{-A\cos t} dt$
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7
Evaluate the limit: $\lim_{n\to \infty} \frac{\left[(n+1)(n+2)\ldots(n+n)\right]^{1/n}}{n}$
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7
how do you compute the value of $\sum\limits_{n=1}^{\infty} \dfrac{(-1)^n}{4n-3}$
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6
Convergence of a sequence $a_n$
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6
Series for $\log 3$
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6
Spectrum of a matrix that has only one $1$ in each row
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6
Elementary proof of existence of a prime in an arithmetic sequence
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6
Product of Lebesgue integrals is bounded
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6
Are there different types of transcendental numbers?
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6
Evaluating $\int_{-1}^{0} \frac{1}{\sqrt{1+x^3}} dx$
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6
Prove that $f_n\rightarrow f$ almost everywhere with respect to Lebesgue measure?
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6
Positive number of solutions for a Diophantine equation
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5
Prove that $\lim\limits_{\lambda \to\infty}\frac{f(\lambda)}{\lambda/\log_e\lambda}=1$
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5
Funtion limit of f’(x) and f(x)/x. please help me!!!
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5
Show that $\sum_{k=1}^n \frac{X_k}{k^2}$ converges a.s
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5
if sequencce $({a_n})$ converges to zero. what can we say about the limit of $({a_n}^n)$
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