New posts in alternative-proof

Identity concerning complete elliptic integrals

Theorem 15.2 of Munkres Topology

Solving SAT by converting to disjunctive normal form

Exercise 5, Section 13 of Munkres’ Topology

Is there a much simpler proof for Euler factorial formula?

Prove $(x+r_1) \cdots (x+r_n) \geq (x+(r_1 \cdots r_n)^{1/n})^{n}$.

Proof that $\frac{2}{3} < \log(2) < \frac{7}{10}$

How to prove $\sum\limits_{n=1}^\infty\frac{\sin(n)}n=\frac{\pi-1}2$ using only real numbers.

Easy proof, that $\rm e\notin \mathbb Q$

Show that $\sum\limits_{n\ge1}\frac1{n^2}=\sum\limits_{n\ge1}\frac3{n^2\binom{2n}n}$ without actually evaluating both series

Hahn-Banach theorem: 2 versions

Integral $\int_0^\frac{\pi}{2} x^2\sqrt{\tan x}\,\mathrm dx$

Axiom of Choice and Right Inverse

Theorem 16.3 of Munkres Topology

Is there a geometrical method to prove $x<\frac{\sin x +\tan x}{2}$?

Proof that $e^{-x} \ge 1-x$

Verify matrix identity $A^tD-C^tB=I$ on certain hypotheses

How to find $\operatorname{P.V.}\int_0^1 \frac{1}{x (1-x)}\arctan \left(\frac{8 x^2-4 x^3+14 x-8}{2 x^4-3 x^3-11 x^2+16 x+16}\right) \textrm{d}x$?

"Novel" proofs of "old" calculus theorems

$\log_2 13$ is irrational