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Mathematics
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T﹏T
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18
Let $f(x) = x^3 - \frac{3}{2}x^2 + x + \frac{1}{4}$. Evaluate $\int_0^1 f^{2025}(x)\, dx. $
May 3
13
Can you remove the arrows to satisfy the given conditions?
Mar 31
13
A complex polynomial inequality
Jul 23
9
Why am I winning always? A coincidence perhaps?
Jul 26
9
Find the number of quadruples of non negative integers $(a,b,c,d)$ such that $105a + 70b + 42c + 30d = 2025$
Nov 16
9
Are there any other special mathematical definitions like $0! =1$ to ensure consistent and valid results?
Nov 15
8
If $P(a)P''(a) > (P'(a))^2$ for some real number $a$, then $P$ has at least two nonreal zeros.
Jan 11
8
On finding the values of $ \theta$ for which $ \cos \theta \in \mathbb{Q} $
Oct 10
8
Proving $\int_{\frac\pi2-1}^{\frac\pi2}f(x)\,\mathrm dx\le\int_0^{\frac\pi2}f(x)\cos x\,\mathrm dx\le\int_0^1f(x)\,\mathrm dx$
Apr 3
7
Number of real roots of the n-th iteration of $f(x) = x^3 - 3x + 1$
2 days ago

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Other than the chat room on this site, what are some other more "social" sites out there which welcome users asking for their proofs to be reviewed?