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Nosrati
  • Member for 9 years, 10 months
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7 votes
3 answers
209 views

What's the series of $\sum_{n\geqslant1} \dfrac{\zeta(2n)}{n2^{2n}}$.

6 votes
4 answers
254 views

Problem with $\int \frac{\sin^{3}x+\cos^{3}x}{\sin{x}\cos{x}} \text{dx}$

5 votes
4 answers
1k views

Is $\frac1p(\sin^px+\cos^px)-\frac1q(\sin^qx+\cos^qx)$ constant for some reals $p$ and $q$.

4 votes
2 answers
459 views

What's a closed form for $\sum_{k=0}^n\frac{1}{k+1}\sum_{r=0\\r~is~odd}^k(-1)^r{k\choose r}r^n$

3 votes
3 answers
853 views

Solve integral $\int_1^2x\,d[x^2]$ with floor differential.

2 votes
5 answers
228 views

Prove $\sqrt{n}+\sqrt{n+k}$ is irrational

1 vote
1 answer
157 views

Factorization of polynomial with factors with degree at most $2$ [duplicate]

1 vote
1 answer
92 views

A property of the Cantor set. [closed]

1 vote
3 answers
175 views

Problem solving $\displaystyle\int\frac{1}{(x^2+1)^2}dx$, Riemann and Lebesgue [closed]

1 vote
1 answer
127 views

Can anyone solve this odd integral? [closed]

0 votes
1 answer
72 views

Real part of a complex expression on unit disk.

0 votes
2 answers
65 views

Identifing a function with another function